Datasets:

nicholasKluge

/

Pt-Corpus-tokenized

like 0

[ 3901, 675, 712, 675, 0, 1072, 9891, 37, 31965, 3901, 1044, 3445, 3838, 23172, 1005, 1495, 7617, 8280, 1138, 2331, 3226, 26925, 4634, 7222, 13675, 1044, 31349, 1009, 4625, 1769, 1006, 19091, 27351, 9364, 24897, 1068, 1702, 5399, 1006, 1944, 5034, 1976, 1178, 1006, 1060, 12162, 11196, 20, 1603, 1026, 1235, 4122, 3226, 26925, 4634, 7222, 18922, 1094, 9852, 1642, 1034, 1305, 22729, 37, 3528, 7566, 2252, 3592, 12623, 1693, 1178, 25964, 32, 13178, 4706, 1008, 1153, 12045, 1034, 2841, 3112, 1685, 29899, 18100, 1026, 15144, 1370, 15, 6498, 3226, 26925, 4634, 7222, 7386, 1026, 2232, 1528, 1188, 1271, 1134, 2440, 3035, 23018, 4381, 6480, 27366, 1006, 1033, 2440, 1107, 2453, 1049, 4447, 1131, 20, 7729, 1107, 1043, 12042, 12000, 6548, 1495, 2736, 1092, 5792, 1005, 7009, 1009, 19723, 1198, 3226, 26925, 4634, 10664, 16397, 1049, 1018, 3143, 1323, 1056, 7995, 1021, 22788, 1098, 12517, 1104, 13719, 90, 1218, 1380, 7995, 1021, 1006, 12517, 1104, 1323, 1095, 8905, 1062, 7499, 2488, 5798, 1013, 1067, 16117, 2488, 2186, 1323, 1095, 1253, 2604, 1078, 72, 3144, 30101, 2186, 2964, 1380, 1009, 3226, 26925, 4634, 5, 10778, 6698, 1044, 28052, 1072, 5065, 1876, 8057, 5020, 4612, 28355, 1096, 1009, 1984, 1963, 22876, 3114, 8861, 1016, 1009, 19303, 3251, 19374, 1005, 6514, 3095, 1009, 17638, 27647, 3226, 26925, 4634, 5, 5851, 1006, 5267, 1049, 7603, 4635, 5361, 1068, 1026, 3666, 7303, 3900, 122, 41, 168, 1263, 20361, 1385, 1821, 6902, 1009, 12123, 1006, 18341, 2809, 19327, 9603, 4002, 37, 23, 60, 20777, 1155, 15241, 1047, 1009, 20361, 1665, 1009, 1111, 4587, 79, 3226, 26925, 4634, 5, 5851, 1026, 1720, 1060, 24048, 1068, 1039, 1631, 2262, 8057, 2751, 6228, 1096, 8846, 1072, 3756, 1009, 2579, 11424, 1055, 6485, 4599, 1679, 19459, 4267, 1009, 8695, 3400, 150, 3226, 26925, 4634, 1605, 1048, 3901, 3270, 1046, 1685, 1034, 1114, 15534, 28634, 2481, 7386, 12164, 8837, 1009, 11602, 1043, 1251, 1095, 2801, 2246, 1687, 1096, 4310, 1009, 14165, 1446, 1006, 12164, 20, 1972, 1616, 3226, 26925, 4634, 1605, 1048, 3901, 1026, 1011, 1330, 1108, 13965, 8546, 1429, 3850, 2746, 1009, 1044, 16431, 1479, 1049, 10882, 4918, 23, 58, 2178, 1124, 6099, 11465, 1118, 4236, 20, 3555, 1101, 1715, 1, 1063, 12263, 2545, 5250, 1210, 82, 1085, 1192, 1342, 1210, 4058, 71, 9559, 1009, 8620, 25902, 7374, 1669, 12483, 18394, 1009, 8620, 10176, 29283, 6102, 18062, 1777, 13819, 1097, 8560, 13819, 1097, 1032, 1209, 22988, 1065, 3544, 26010, 23877, 2410, 25320, 9487, 1814, 1144, 3071, 1028, 76, 86, 1008, 24502, 90, 2743, 1419, 1005, 6993, 1633, 1045, 1708, 8620, 2926, 17252, 1665, 1009, 6102, 2742, 1265, 3931, 1624, 76, 6245, 4618, 1419, 1005, 6993, 2555, 6699, 29298, 7133, 1042, 8041, 1467, 1063, 12263, 2545, 5250, 16679, 41, 30120, 2818, 12903, 39, 1063, 48, 14083, 2722, 14569, 15769, 1063, 1119, 11326, 2393, 2606, 15769, 1467, 18337, 47, 43, 13807, 21402, 15162, 1790, 1148, 7, 5640, 12439, 5262, 3057, 11467, 1327, 10951, 20057, 1005, 2711, 23105, 1482, 14496, 4697, 1976, 8727, 1124, 16127, 2169, 3589, 1006, 6477, 1009, 13412, 1005, 15047, 4618, 20, 1482, 2535, 1009, 9168, 21672, 1235, 6023, 7, 1138, 3177, 1006, 4734, 1096, 1044, 3282, 1009, 17277, 1, 28310, 1826, 1124, 1173, 1016, 1271, 22630, 3104, 1009, 10026, 23354, 1525, 4228, 10550, 15, 1060, 13807, 23569, 1972, 1663, 8982, 12391, 1024, 12980, 1072, 4941, 1060, 2945, 4626, 3567, 1, 2611, 15856, 10129, 1705, 1806, 2971, 10993, 19310, 8544, 1167, 1006, 31239, 2488, 22971, 2509, 1068, 3504, 1185, 12155, 2054, 15294, 1006, 1853, 4169, 1068, 3371, 1114, 1224, 4884, 7625, 5134, 1098, 31168, 1005, 4300, 4354, 6573, 1054, 1044, 2631, 26349, 1009, 3504, 14424, 15181, 1224, 4884, 17202, 1005, 18800, 1048, 1299, 1058, 4135, 1434, 1752, 1472, 1184, 1233, 4375, 1048, 28217, 1072, 3504, 14424, 6788, 1299, 1325, 12012, 1298, 3659, 26827, 1006, 6016, 1006, 4169, 1184, 30840, 1005, 1264, 1448, 1618, 1645, 3822, 1206, 1663, 1299, 4877, 1026, 9616, 1043, 8692, 1533, 4884, 1060, 3504, 14424, 1225, 2653, 4912, 17502, 2966, 3371, 1006, 20927, 15518, 1005, 18883, 1006, 2808, 1044, 2574, 1009, 17345, 5109, 4441, 11241, 6184, 1009, 3504, 14424, 12807, 1006, 28752, 1132, 3974, 1184, 16625, 1009, 1224, 27922, 2966, 9423, 1043, 1184, 16788, 8245, 2668, 1132, 11241, 6184, 1009, 3504, 14424, 1693, 1178, 6163, 11791, 2018, 10724, 1054, 6711, 24815, 1206, 22675, 2147, 2987, 1833, 1511, 1234, 1663, 3504, 14424, 1160, 1058, 19298, 1009, 3599, 1964, 1044, 1455, 2974, 3888, 1068, 3371, 1299, 1006, 25936, 1620, 1184, 1704, 1048, 8316, 1114, 3907, 1009, 6016, 1026, 1853, 26349, 1068, 3504, 14424, 27351, 1299, 1325, 7153, 1261, 18077, 1206, 2572, 7386, 1702, 1557, 1049, 1235, 1531, 1068, 7487, 4492, 1006, 3504, 14424, 1298, 1261, 1044, 5802, 22417, 1278, 10492, 1054, 1224, 1834, 7297, 2631, 8316, 2350, 2266, 1322, 1026, 1235, 26349, 1009, 3504, 14424, 1005, 1616, 2155, 2271, 1026, 1456, 5850, 1009, 1651, 7078, 1495, 4537, 1072, 2161, 1009, 3099, 29211, 11241, 6184, 1009, 3504, 14424, 1327, 1184, 31929, 1048, 1734, 1005, 1616, 1299, 1298, 4877, 1006, 5267, 1072, 2490, 13929, 7297, 1927, 2512, 4480, 1054, 2265, 2762, 1094, 3902, 28450, 73, 5289, 1322, 1026, 26349, 1009, 3504, 1185, 1126, 3587, 1058, 1006, 5554, 1234, 4889, 1059, 17535, 1463, 2266, 1049, 4168, 1132, 5850, 1049, 1048, 1264, 1096, 5055, 1599, 1005, 1058, 24475, 9959, 1322, 5806, 9637, 1058, 1006, 3364, 28996, 1006, 1224, 3450, 3021, 21146, 6593, 6897, 1783, 3699, 6802, 1009, 3291, 1159, 1327, 7742, 1132, 11241, 6184, 1009, 3504, 1185, 1126, 1309, 1160, 1225, 1006, 5741, 1009, 1419, 1159, 5325, 1094, 2618, 1009, 2935, 1704, 2568, 1009, 13304, 1049, 26349, 1009, 3504, 14424, 1298, 1178, 14081, 1054, 1791, 4267, 1054, 4732, 1049, 2285, 1009, 14688, 1187, 11241, 6184, 17627, 1026, 2446, 5970, 1009, 11241, 6184, 1009, 3504, 14424, 1009, 10587, 3964, 1005, 1026, 6132, 1091, 1009, 11241, 6184, 1009, 3504, 14424, 1043, 2754, 14688, 1833, 3096, 1262, 1154, 4354, 2631, 26349, 1009, 3504, 14424, 1009, 2754, 14688, 1225, 1094, 3023, 1009, 2125, 14688, 1005, 1124, 4496, 10405, 1898, 5552, 1944, 1457, 2166, 1026, 26349, 1096, 14985, 1043, 8340, 1054, 1224, 13782, 1048, 1327, 1054, 1871, 1009, 5242, 1833, 12690, 5242, 1018, 5150, 1016, 1006, 12892, 1870, 6531, 3352, 1206, 1200, 2455, 1031, 11072, 17901, 1159, 8340, 1009, 5231, 1068, 15521, 1679, 9626, 1708, 1009, 3504, 14424, 1006, 3621, 10758, 25747, 1511, 1132, 4988, 1009, 3504, 14424, 23006, 4224, 17502, 1857, 1693, 9728, 1005, 4877, 3592, 8340, 1068, 10380, 1005, 5275, 1132, 7328, 1118, 2612, 3486, 5735, 17635, 1716, 5706, 16383, 16955, 2012, 1005, 7389, 29272, 1026, 2380, 9821, 7261, 1533, 10587, 12633, 10164, 1096, 4661, 1009, 21967, 1009, 25372, 24462, 1048, 1693, 1160, 1657, 30036, 1005, 21530, 1024, 1006, 3111, 25357, 1309, 1318, 7904, 1009, 19655, 1533, 10587, 1009, 7108, 1096, 4661, 1009, 22886, 1206, 1008, 92, 21322, 5819, 1026, 1048, 11009, 1493, 1026, 4818, 1009, 14716, 1272, 1049, 26349, 9390, 1296, 1164, 21665, 1976, 1178, 1006, 1751, 1184, 2512, 1114, 3907, 1009, 6016, 1026, 1235, 26349, 1009, 3504, 14424, 1184, 11265, 1533, 76, 8409, 1114, 3907, 1009, 15387, 3504, 14424, 1299, 1976, 2593, 10238, 5336, 1620, 1184, 2691, 9423, 1009, 3822, 16788, 1048, 1006, 4751, 11359, 1704, 7757, 1225, 1006, 6280, 1318, 1009, 25936, 1026, 2823, 3360, 2950, 1006, 17757, 1118, 1616, 1026, 11323, 3615, 1096, 2637, 27493, 3812, 1774, 1914, 1467, 7202, 1049, 26349, 1009, 3504, 14424, 1054, 4280, 8557, 1043, 1026, 2823, 6819, 11643, 1026, 2568, 1614, 1038, 1747, 86, 1526, 1009, 3596, 4639, 1048, 1298, 6233, 1006, 21205, 1009, 1448, 18755, 1303, 1533, 3364, 1187, 11241, 6184, 1009, 3504, 14424, 1327, 7742, 1009, 29703, 41, 1005, 1106, 54, 2722, 9943, 1044, 3360, 7725, 4403, 1233, 2926, 24196, 1132, 11241, 6184, 7959, 6326, 8616, 1006, 5342, 2939, 1672, 1132, 5850, 7742, 1356, 2792, 1160, 1327, 1009, 2220, 31488, 17627, 1094, 6735, 1009, 5850, 1160, 7959, 1048, 1693, 1178, 6163, 11791, 2018, 11241, 6184, 1009, 3504, 1185, 1126, 2653, 1187, 2688, 1596, 5055, 1166, 1068, 4207, 1184, 12632, 25051, 20290, 1370, 21216, 9168, 1299, 2155, 2808, 4306, 4267, 1009, 11241, 6184, 1009, 3504, 14424, 1005, 1118, 5910, 4195, 1043, 3408, 1048, 1327, 1680, 23789, 1044, 1049, 2143, 1704, 1048, 2155, 5149, 1009, 10531, 1026, 4410, 1049, 1235, 26349, 1009, 3504, 14424, 1096, 1006, 3450, 1005, 1006, 4214, 1048, 1693, 2232, 1301, 2219, 1044, 13483, 1069, 9346, 4612, 1187, 3408, 1009, 26349, 1009, 3504, 14424, 1048, 1299, 2155, 2808, 16129, 1009, 2824, 1422, 2534, 1254, 1495, 2824, 1675, 9949, 19694, 19529, 1148, 1755, 7999, 1160, 27351, 1299, 1566, 3553, 1893, 1094, 4044, 1009, 3504, 14424, 1298, 9364, 11980, 1322, 1026, 26349, 1009, 3504, 14424, 1005, 1571, 4883, 1068, 1261, 1044, 1054, 2573, 1059, 8197, 4267, 1009, 26349, 1299, 1976, 4379, 1759, 15041, 5224, 11241, 6184, 1009, 3504, 14424, 1571, 1006, 13396, 1049, 4577, 15206, 1096, 1049, 2446, 1448, 18755, 25172, 37, 28368, 10113, 8245, 1009, 1160, 4207, 31929, 1299, 13419, 4848, 10172, 10807, 1005, 1264, 1072, 20486, 1005, 1058, 1026, 1531, 1325, 1493, 8837, 1299, 1111, 1945, 1620, 1184, 6788, 1026, 26349, 1009, 3504, 14424, 1234, 27455, 4810, 1299, 2697, 1945, 25702, 1157, 1006, 1224, 13060, 1126, 2340, 1264, 8935, 14130, 1068, 4379, 1026, 1173, 1981, 1049, 2823, 1072, 9616, 29211, 1327, 12772, 1043, 24091, 2227, 1159, 10710, 2722, 1073, 22219, 1678, 1068, 72, 4179, 1005, 1033, 3185, 2746, 1072, 29703, 41, 1005, 1026, 3910, 7357, 1009, 3894, 31294, 1114, 2935, 1009, 29703, 41, 25747, 1096, 14450, 6016, 1044, 26349, 1009, 3504, 14424, 3330, 1043, 5850, 7959, 1159, 25372, 1005, 1064, 152, 1206, 22886, 14466, 1140, 3812, 1241, 2509, 1068, 3504, 1185, 12155, 1006, 4493, 1009, 2384, 9249, 1927, 19044, 5026, 23441, 1060, 13667, 1009, 1569, 9572, 5247, 4215, 1299, 1298, 4125, 1094, 3757, 1206, 1184, 1996, 1048, 1235, 26349, 29112, 1009, 1094, 3593, 9756, 6788, 1299, 1096, 1049, 2446, 1048, 1224, 1493, 1206, 1026, 26349, 1009, 3504, 14424, 1057, 1363, 1044, 1026, 16608, 2282, 1292, 5193, 1043, 1184, 8692, 24196, 2088, 11241, 6184, 15535, 1046, 1048, 1006, 9756, 31522, 1298, 1663, 1043, 1048, 1857, 1058, 21350, 1046, 1184, 25357, 18673, 1006, 22211, 1049, 1235, 26349, 1009, 3504, 14424, 7811, 1669, 2745, 1114, 20805, 1049, 26349, 1009, 3504, 14424, 4836, 1124, 16388, 1009, 5850, 1009, 9756, 4592, 1010, 1068, 1299, 7682, 9390, 3993, 1027, 4956, 7704, 14536, 1044, 2574, 1184, 1322, 11241, 6184, 1009, 3504, 14424, 1005, 1566, 1298, 7508, 1044, 1048, 2374, 7322, 1068, 1299, 15387, 1668, 7757, 5735, 24911, 1009, 6016, 1026, 1235, 26349, 1009, 3504, 14424, 1043, 1184, 13057, 1068, 1048, 1299, 1160, 3241, 1094, 3513, 12647, 1043, 1006, 4884, 8530, 26349, 1009, 3504, 14424, 1976, 1178, 4947, 1159, 1026, 26392, 1027, 1048, 1299, 1004, 5760, 32, 1264, 1976, 1178, 10238, 5336, 1005, 1072, 8407, 2125, 14688, 1005, 13396, 9948, 23805, 1048, 1299, 4337, 1124, 5625, 3145, 1009, 1044, 2631, 26349, 1009, 3504, 14424, 1096, 1998, 4883, 1026, 1235, 1005, 2323, 1068, 1124, 13817, 7, 12256, 1118, 2611, 15856, 10129, 1705, 1806, 1576, 16210, 1009, 4816, 10215, 14789, 1068, 14328, 7290, 7744, 20098, 1009, 3284, 1096, 2381, 1140, 10951, 1068, 15521, 1005, 1365, 1363, 3794, 12876, 2129, 17334, 1128, 2178, 1006, 5391, 1009, 1048, 1054, 2930, 11467, 1009, 14265, 1299, 4597, 1927, 1006, 1853, 4633, 1009, 4734, 1006, 1224, 10001, 7985, 1167, 18955, 1009, 7860, 1383, 1148, 1694, 1026, 6502, 1049, 2522, 28850, 12881, 1005, 10773, 1304, 1005, 1006, 4493, 1009, 16505, 1989, 2568, 2823, 7738, 12674, 1, 2971, 1009, 13028, 1531, 1009, 1807, 14937, 1876, 11813, 1195, 1026, 1531, 10921, 1068, 1184, 1044, 3366, 1049, 4346, 32, 1026, 5290, 9008, 1056, 1517, 1704, 1531, 26011, 1437, 1418, 1044, 2574, 9468, 1081, 4075, 1026, 1048, 1160, 28796, 1048, 2916, 1009, 3734, 1387, 7103, 1009, 2252, 1124, 22263, 1005, 5834, 1058, 1942, 7965, 1054, 3902, 1060, 18171, 1140, 1049, 17612, 1627, 2269, 1009, 5317, 1005, 1009, 5618, 25233, 1068, 1026, 3143, 8648, 1304, 30343, 1069, 1356, 4346, 15342, 2088, 22610, 10245, 7152, 1872, 1005, 1044, 7483, 3068, 12019, 18171, 2166, 1006, 2519, 92, 5221, 31368, 1356, 1317, 8391, 13131, 5575, 20, 0, 4644, 11815, 3580, 14972, 1233, 5355, 1049, 12486, 2212, 1054, 3584, 26547, 1009, 23554, 1103, 1563, 20, 7216, 18657, 20570, 11247, 1250, 1356, 1235, 6527, 3335, 5575, 20, 0, 23295, 1009, 22607, 1048, 1986, 1094, 16570, 17254, 1060, 2935, 12042, 162, 1399, 1126, 1294, 3700, 1917, 1079, 1043, 1094, 7232, 5289, 1009, 19619, 1112, 1009, 20784, 1005, 1048, 5952, 1229, 1365, 2089, 3469, 5721, 1026, 1638, 1006, 17944, 1044, 7743, 31246, 1006, 2519, 92, 1685, 1387, 3039, 9952, 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 ]

[ 3901, 675, 712, 675, 0, 1072, 9891, 37, 31965, 3901, 1044, 3445, 3838, 23172, 1005, 1495, 7617, 8280, 1138, 2331, 3226, 26925, 4634, 7222, 13675, 1044, 31349, 1009, 4625, 1769, 1006, 19091, 27351, 9364, 24897, 1068, 1702, 5399, 1006, 1944, 5034, 1976, 1178, 1006, 1060, 12162, 11196, 20, 1603, 1026, 1235, 4122, 3226, 26925, 4634, 7222, 18922, 1094, 9852, 1642, 1034, 1305, 22729, 37, 3528, 7566, 2252, 3592, 12623, 1693, 1178, 25964, 32, 13178, 4706, 1008, 1153, 12045, 1034, 2841, 3112, 1685, 29899, 18100, 1026, 15144, 1370, 15, 6498, 3226, 26925, 4634, 7222, 7386, 1026, 2232, 1528, 1188, 1271, 1134, 2440, 3035, 23018, 4381, 6480, 27366, 1006, 1033, 2440, 1107, 2453, 1049, 4447, 1131, 20, 7729, 1107, 1043, 12042, 12000, 6548, 1495, 2736, 1092, 5792, 1005, 7009, 1009, 19723, 1198, 3226, 26925, 4634, 10664, 16397, 1049, 1018, 3143, 1323, 1056, 7995, 1021, 22788, 1098, 12517, 1104, 13719, 90, 1218, 1380, 7995, 1021, 1006, 12517, 1104, 1323, 1095, 8905, 1062, 7499, 2488, 5798, 1013, 1067, 16117, 2488, 2186, 1323, 1095, 1253, 2604, 1078, 72, 3144, 30101, 2186, 2964, 1380, 1009, 3226, 26925, 4634, 5, 10778, 6698, 1044, 28052, 1072, 5065, 1876, 8057, 5020, 4612, 28355, 1096, 1009, 1984, 1963, 22876, 3114, 8861, 1016, 1009, 19303, 3251, 19374, 1005, 6514, 3095, 1009, 17638, 27647, 3226, 26925, 4634, 5, 5851, 1006, 5267, 1049, 7603, 4635, 5361, 1068, 1026, 3666, 7303, 3900, 122, 41, 168, 1263, 20361, 1385, 1821, 6902, 1009, 12123, 1006, 18341, 2809, 19327, 9603, 4002, 37, 23, 60, 20777, 1155, 15241, 1047, 1009, 20361, 1665, 1009, 1111, 4587, 79, 3226, 26925, 4634, 5, 5851, 1026, 1720, 1060, 24048, 1068, 1039, 1631, 2262, 8057, 2751, 6228, 1096, 8846, 1072, 3756, 1009, 2579, 11424, 1055, 6485, 4599, 1679, 19459, 4267, 1009, 8695, 3400, 150, 3226, 26925, 4634, 1605, 1048, 3901, 3270, 1046, 1685, 1034, 1114, 15534, 28634, 2481, 7386, 12164, 8837, 1009, 11602, 1043, 1251, 1095, 2801, 2246, 1687, 1096, 4310, 1009, 14165, 1446, 1006, 12164, 20, 1972, 1616, 3226, 26925, 4634, 1605, 1048, 3901, 1026, 1011, 1330, 1108, 13965, 8546, 1429, 3850, 2746, 1009, 1044, 16431, 1479, 1049, 10882, 4918, 23, 58, 2178, 1124, 6099, 11465, 1118, 4236, 20, 3555, 1101, 1715, 1, 1063, 12263, 2545, 5250, 1210, 82, 1085, 1192, 1342, 1210, 4058, 71, 9559, 1009, 8620, 25902, 7374, 1669, 12483, 18394, 1009, 8620, 10176, 29283, 6102, 18062, 1777, 13819, 1097, 8560, 13819, 1097, 1032, 1209, 22988, 1065, 3544, 26010, 23877, 2410, 25320, 9487, 1814, 1144, 3071, 1028, 76, 86, 1008, 24502, 90, 2743, 1419, 1005, 6993, 1633, 1045, 1708, 8620, 2926, 17252, 1665, 1009, 6102, 2742, 1265, 3931, 1624, 76, 6245, 4618, 1419, 1005, 6993, 2555, 6699, 29298, 7133, 1042, 8041, 1467, 1063, 12263, 2545, 5250, 16679, 41, 30120, 2818, 12903, 39, 1063, 48, 14083, 2722, 14569, 15769, 1063, 1119, 11326, 2393, 2606, 15769, 1467, 18337, 47, 43, 13807, 21402, 15162, 1790, 1148, 7, 5640, 12439, 5262, 3057, 11467, 1327, 10951, 20057, 1005, 2711, 23105, 1482, 14496, 4697, 1976, 8727, 1124, 16127, 2169, 3589, 1006, 6477, 1009, 13412, 1005, 15047, 4618, 20, 1482, 2535, 1009, 9168, 21672, 1235, 6023, 7, 1138, 3177, 1006, 4734, 1096, 1044, 3282, 1009, 17277, 1, 28310, 1826, 1124, 1173, 1016, 1271, 22630, 3104, 1009, 10026, 23354, 1525, 4228, 10550, 15, 1060, 13807, 23569, 1972, 1663, 8982, 12391, 1024, 12980, 1072, 4941, 1060, 2945, 4626, 3567, 1, 2611, 15856, 10129, 1705, 1806, 2971, 10993, 19310, 8544, 1167, 1006, 31239, 2488, 22971, 2509, 1068, 3504, 1185, 12155, 2054, 15294, 1006, 1853, 4169, 1068, 3371, 1114, 1224, 4884, 7625, 5134, 1098, 31168, 1005, 4300, 4354, 6573, 1054, 1044, 2631, 26349, 1009, 3504, 14424, 15181, 1224, 4884, 17202, 1005, 18800, 1048, 1299, 1058, 4135, 1434, 1752, 1472, 1184, 1233, 4375, 1048, 28217, 1072, 3504, 14424, 6788, 1299, 1325, 12012, 1298, 3659, 26827, 1006, 6016, 1006, 4169, 1184, 30840, 1005, 1264, 1448, 1618, 1645, 3822, 1206, 1663, 1299, 4877, 1026, 9616, 1043, 8692, 1533, 4884, 1060, 3504, 14424, 1225, 2653, 4912, 17502, 2966, 3371, 1006, 20927, 15518, 1005, 18883, 1006, 2808, 1044, 2574, 1009, 17345, 5109, 4441, 11241, 6184, 1009, 3504, 14424, 12807, 1006, 28752, 1132, 3974, 1184, 16625, 1009, 1224, 27922, 2966, 9423, 1043, 1184, 16788, 8245, 2668, 1132, 11241, 6184, 1009, 3504, 14424, 1693, 1178, 6163, 11791, 2018, 10724, 1054, 6711, 24815, 1206, 22675, 2147, 2987, 1833, 1511, 1234, 1663, 3504, 14424, 1160, 1058, 19298, 1009, 3599, 1964, 1044, 1455, 2974, 3888, 1068, 3371, 1299, 1006, 25936, 1620, 1184, 1704, 1048, 8316, 1114, 3907, 1009, 6016, 1026, 1853, 26349, 1068, 3504, 14424, 27351, 1299, 1325, 7153, 1261, 18077, 1206, 2572, 7386, 1702, 1557, 1049, 1235, 1531, 1068, 7487, 4492, 1006, 3504, 14424, 1298, 1261, 1044, 5802, 22417, 1278, 10492, 1054, 1224, 1834, 7297, 2631, 8316, 2350, 2266, 1322, 1026, 1235, 26349, 1009, 3504, 14424, 1005, 1616, 2155, 2271, 1026, 1456, 5850, 1009, 1651, 7078, 1495, 4537, 1072, 2161, 1009, 3099, 29211, 11241, 6184, 1009, 3504, 14424, 1327, 1184, 31929, 1048, 1734, 1005, 1616, 1299, 1298, 4877, 1006, 5267, 1072, 2490, 13929, 7297, 1927, 2512, 4480, 1054, 2265, 2762, 1094, 3902, 28450, 73, 5289, 1322, 1026, 26349, 1009, 3504, 1185, 1126, 3587, 1058, 1006, 5554, 1234, 4889, 1059, 17535, 1463, 2266, 1049, 4168, 1132, 5850, 1049, 1048, 1264, 1096, 5055, 1599, 1005, 1058, 24475, 9959, 1322, 5806, 9637, 1058, 1006, 3364, 28996, 1006, 1224, 3450, 3021, 21146, 6593, 6897, 1783, 3699, 6802, 1009, 3291, 1159, 1327, 7742, 1132, 11241, 6184, 1009, 3504, 1185, 1126, 1309, 1160, 1225, 1006, 5741, 1009, 1419, 1159, 5325, 1094, 2618, 1009, 2935, 1704, 2568, 1009, 13304, 1049, 26349, 1009, 3504, 14424, 1298, 1178, 14081, 1054, 1791, 4267, 1054, 4732, 1049, 2285, 1009, 14688, 1187, 11241, 6184, 17627, 1026, 2446, 5970, 1009, 11241, 6184, 1009, 3504, 14424, 1009, 10587, 3964, 1005, 1026, 6132, 1091, 1009, 11241, 6184, 1009, 3504, 14424, 1043, 2754, 14688, 1833, 3096, 1262, 1154, 4354, 2631, 26349, 1009, 3504, 14424, 1009, 2754, 14688, 1225, 1094, 3023, 1009, 2125, 14688, 1005, 1124, 4496, 10405, 1898, 5552, 1944, 1457, 2166, 1026, 26349, 1096, 14985, 1043, 8340, 1054, 1224, 13782, 1048, 1327, 1054, 1871, 1009, 5242, 1833, 12690, 5242, 1018, 5150, 1016, 1006, 12892, 1870, 6531, 3352, 1206, 1200, 2455, 1031, 11072, 17901, 1159, 8340, 1009, 5231, 1068, 15521, 1679, 9626, 1708, 1009, 3504, 14424, 1006, 3621, 10758, 25747, 1511, 1132, 4988, 1009, 3504, 14424, 23006, 4224, 17502, 1857, 1693, 9728, 1005, 4877, 3592, 8340, 1068, 10380, 1005, 5275, 1132, 7328, 1118, 2612, 3486, 5735, 17635, 1716, 5706, 16383, 16955, 2012, 1005, 7389, 29272, 1026, 2380, 9821, 7261, 1533, 10587, 12633, 10164, 1096, 4661, 1009, 21967, 1009, 25372, 24462, 1048, 1693, 1160, 1657, 30036, 1005, 21530, 1024, 1006, 3111, 25357, 1309, 1318, 7904, 1009, 19655, 1533, 10587, 1009, 7108, 1096, 4661, 1009, 22886, 1206, 1008, 92, 21322, 5819, 1026, 1048, 11009, 1493, 1026, 4818, 1009, 14716, 1272, 1049, 26349, 9390, 1296, 1164, 21665, 1976, 1178, 1006, 1751, 1184, 2512, 1114, 3907, 1009, 6016, 1026, 1235, 26349, 1009, 3504, 14424, 1184, 11265, 1533, 76, 8409, 1114, 3907, 1009, 15387, 3504, 14424, 1299, 1976, 2593, 10238, 5336, 1620, 1184, 2691, 9423, 1009, 3822, 16788, 1048, 1006, 4751, 11359, 1704, 7757, 1225, 1006, 6280, 1318, 1009, 25936, 1026, 2823, 3360, 2950, 1006, 17757, 1118, 1616, 1026, 11323, 3615, 1096, 2637, 27493, 3812, 1774, 1914, 1467, 7202, 1049, 26349, 1009, 3504, 14424, 1054, 4280, 8557, 1043, 1026, 2823, 6819, 11643, 1026, 2568, 1614, 1038, 1747, 86, 1526, 1009, 3596, 4639, 1048, 1298, 6233, 1006, 21205, 1009, 1448, 18755, 1303, 1533, 3364, 1187, 11241, 6184, 1009, 3504, 14424, 1327, 7742, 1009, 29703, 41, 1005, 1106, 54, 2722, 9943, 1044, 3360, 7725, 4403, 1233, 2926, 24196, 1132, 11241, 6184, 7959, 6326, 8616, 1006, 5342, 2939, 1672, 1132, 5850, 7742, 1356, 2792, 1160, 1327, 1009, 2220, 31488, 17627, 1094, 6735, 1009, 5850, 1160, 7959, 1048, 1693, 1178, 6163, 11791, 2018, 11241, 6184, 1009, 3504, 1185, 1126, 2653, 1187, 2688, 1596, 5055, 1166, 1068, 4207, 1184, 12632, 25051, 20290, 1370, 21216, 9168, 1299, 2155, 2808, 4306, 4267, 1009, 11241, 6184, 1009, 3504, 14424, 1005, 1118, 5910, 4195, 1043, 3408, 1048, 1327, 1680, 23789, 1044, 1049, 2143, 1704, 1048, 2155, 5149, 1009, 10531, 1026, 4410, 1049, 1235, 26349, 1009, 3504, 14424, 1096, 1006, 3450, 1005, 1006, 4214, 1048, 1693, 2232, 1301, 2219, 1044, 13483, 1069, 9346, 4612, 1187, 3408, 1009, 26349, 1009, 3504, 14424, 1048, 1299, 2155, 2808, 16129, 1009, 2824, 1422, 2534, 1254, 1495, 2824, 1675, 9949, 19694, 19529, 1148, 1755, 7999, 1160, 27351, 1299, 1566, 3553, 1893, 1094, 4044, 1009, 3504, 14424, 1298, 9364, 11980, 1322, 1026, 26349, 1009, 3504, 14424, 1005, 1571, 4883, 1068, 1261, 1044, 1054, 2573, 1059, 8197, 4267, 1009, 26349, 1299, 1976, 4379, 1759, 15041, 5224, 11241, 6184, 1009, 3504, 14424, 1571, 1006, 13396, 1049, 4577, 15206, 1096, 1049, 2446, 1448, 18755, 25172, 37, 28368, 10113, 8245, 1009, 1160, 4207, 31929, 1299, 13419, 4848, 10172, 10807, 1005, 1264, 1072, 20486, 1005, 1058, 1026, 1531, 1325, 1493, 8837, 1299, 1111, 1945, 1620, 1184, 6788, 1026, 26349, 1009, 3504, 14424, 1234, 27455, 4810, 1299, 2697, 1945, 25702, 1157, 1006, 1224, 13060, 1126, 2340, 1264, 8935, 14130, 1068, 4379, 1026, 1173, 1981, 1049, 2823, 1072, 9616, 29211, 1327, 12772, 1043, 24091, 2227, 1159, 10710, 2722, 1073, 22219, 1678, 1068, 72, 4179, 1005, 1033, 3185, 2746, 1072, 29703, 41, 1005, 1026, 3910, 7357, 1009, 3894, 31294, 1114, 2935, 1009, 29703, 41, 25747, 1096, 14450, 6016, 1044, 26349, 1009, 3504, 14424, 3330, 1043, 5850, 7959, 1159, 25372, 1005, 1064, 152, 1206, 22886, 14466, 1140, 3812, 1241, 2509, 1068, 3504, 1185, 12155, 1006, 4493, 1009, 2384, 9249, 1927, 19044, 5026, 23441, 1060, 13667, 1009, 1569, 9572, 5247, 4215, 1299, 1298, 4125, 1094, 3757, 1206, 1184, 1996, 1048, 1235, 26349, 29112, 1009, 1094, 3593, 9756, 6788, 1299, 1096, 1049, 2446, 1048, 1224, 1493, 1206, 1026, 26349, 1009, 3504, 14424, 1057, 1363, 1044, 1026, 16608, 2282, 1292, 5193, 1043, 1184, 8692, 24196, 2088, 11241, 6184, 15535, 1046, 1048, 1006, 9756, 31522, 1298, 1663, 1043, 1048, 1857, 1058, 21350, 1046, 1184, 25357, 18673, 1006, 22211, 1049, 1235, 26349, 1009, 3504, 14424, 7811, 1669, 2745, 1114, 20805, 1049, 26349, 1009, 3504, 14424, 4836, 1124, 16388, 1009, 5850, 1009, 9756, 4592, 1010, 1068, 1299, 7682, 9390, 3993, 1027, 4956, 7704, 14536, 1044, 2574, 1184, 1322, 11241, 6184, 1009, 3504, 14424, 1005, 1566, 1298, 7508, 1044, 1048, 2374, 7322, 1068, 1299, 15387, 1668, 7757, 5735, 24911, 1009, 6016, 1026, 1235, 26349, 1009, 3504, 14424, 1043, 1184, 13057, 1068, 1048, 1299, 1160, 3241, 1094, 3513, 12647, 1043, 1006, 4884, 8530, 26349, 1009, 3504, 14424, 1976, 1178, 4947, 1159, 1026, 26392, 1027, 1048, 1299, 1004, 5760, 32, 1264, 1976, 1178, 10238, 5336, 1005, 1072, 8407, 2125, 14688, 1005, 13396, 9948, 23805, 1048, 1299, 4337, 1124, 5625, 3145, 1009, 1044, 2631, 26349, 1009, 3504, 14424, 1096, 1998, 4883, 1026, 1235, 1005, 2323, 1068, 1124, 13817, 7, 12256, 1118, 2611, 15856, 10129, 1705, 1806, 1576, 16210, 1009, 4816, 10215, 14789, 1068, 14328, 7290, 7744, 20098, 1009, 3284, 1096, 2381, 1140, 10951, 1068, 15521, 1005, 1365, 1363, 3794, 12876, 2129, 17334, 1128, 2178, 1006, 5391, 1009, 1048, 1054, 2930, 11467, 1009, 14265, 1299, 4597, 1927, 1006, 1853, 4633, 1009, 4734, 1006, 1224, 10001, 7985, 1167, 18955, 1009, 7860, 1383, 1148, 1694, 1026, 6502, 1049, 2522, 28850, 12881, 1005, 10773, 1304, 1005, 1006, 4493, 1009, 16505, 1989, 2568, 2823, 7738, 12674, 1, 2971, 1009, 13028, 1531, 1009, 1807, 14937, 1876, 11813, 1195, 1026, 1531, 10921, 1068, 1184, 1044, 3366, 1049, 4346, 32, 1026, 5290, 9008, 1056, 1517, 1704, 1531, 26011, 1437, 1418, 1044, 2574, 9468, 1081, 4075, 1026, 1048, 1160, 28796, 1048, 2916, 1009, 3734, 1387, 7103, 1009, 2252, 1124, 22263, 1005, 5834, 1058, 1942, 7965, 1054, 3902, 1060, 18171, 1140, 1049, 17612, 1627, 2269, 1009, 5317, 1005, 1009, 5618, 25233, 1068, 1026, 3143, 8648, 1304, 30343, 1069, 1356, 4346, 15342, 2088, 22610, 10245, 7152, 1872, 1005, 1044, 7483, 3068, 12019, 18171, 2166, 1006, 2519, 92, 5221, 31368, 1356, 1317, 8391, 13131, 5575, 20, 0, 4644, 11815, 3580, 14972, 1233, 5355, 1049, 12486, 2212, 1054, 3584, 26547, 1009, 23554, 1103, 1563, 20, 7216, 18657, 20570, 11247, 1250, 1356, 1235, 6527, 3335, 5575, 20, 0, 23295, 1009, 22607, 1048, 1986, 1094, 16570, 17254, 1060, 2935, 12042, 162, 1399, 1126, 1294, 3700, 1917, 1079, 1043, 1094, 7232, 5289, 1009, 19619, 1112, 1009, 20784, 1005, 1048, 5952, 1229, 1365, 2089, 3469, 5721, 1026, 1638, 1006, 17944, 1044, 7743, 31246, 1006, 2519, 92, 1685, 1387, 3039, 9952, 1118 ]

[ 6112, 1032, 1343, 1383, 26447, 4071, 54, 2599, 1383, 1012, 1439, 1054, 4280, 1691, 13196, 1576, 42, 12, 47, 11891, 1009, 6112, 1032, 1343, 1383, 26447, 4071, 54, 2599, 1383, 1012, 1439, 1054, 4280, 5161, 8515, 1009, 11313, 8522, 1049, 15212, 3223, 19878, 1213, 3090, 1009, 6286, 6778, 2445, 1043, 3910, 2161, 27649, 3482, 10199, 1184, 1691, 1421, 1166, 10814, 21979, 1467, 1812, 15111, 2127, 1149, 1072, 3099, 1009, 3894, 1043, 10700, 1009, 21059, 2292, 90, 9872, 3482, 10199, 1184, 3564, 4372, 3996, 1038, 4404, 13444, 1383, 6710, 1759, 19118, 3996, 1038, 5555, 7400, 1605, 12800, 30627, 1691, 13196, 3996, 1038, 4404, 13444, 1383, 6710, 1759, 19118, 3996, 1038, 5555, 7400, 1605, 12800, 30627, 29564, 24718, 2503, 25063, 11479, 2973, 1051, 1303, 1009, 16987, 23532, 2344, 10394, 11144, 5361, 1691, 13196, 29564, 24718, 2503, 25063, 11479, 2973, 1051, 1303, 1009, 16987, 23532, 2344, 10394, 11144, 5361, 6170, 1037, 4916, 22790, 1326, 2165, 28077, 14980, 1060, 5110, 1009, 14947, 20307, 1005, 16232, 1009, 9040, 1005, 6486, 3482, 10199, 1184, 8018, 1507, 5423, 6170, 1148, 2510, 1010, 6286, 1068, 16934, 1026, 4957, 1187, 5870, 1043, 7051, 1114, 11174, 6272, 3482, 10199, 1184, 1691, 5468, 11644, 8539, 5505, 2571, 22381, 1005, 9556, 1043, 9278, 4318, 1068, 8900, 1132, 8113, 1049, 4898, 3482, 10199, 1184, 1691, 1193, 1777, 2231, 13444, 24861, 5670, 25018, 1009, 3140, 1068, 1048, 1006, 16788, 11196, 10008, 1184, 4761, 1005, 3235, 3482, 10199, 1184, 22790, 1326, 2165, 17910, 21908, 1576, 26499, 1691, 1223, 1905, 1759, 1078, 4993, 1383, 1269, 13646, 16873, 1922, 1654, 1759, 31420, 7480, 10940, 1576, 42, 12, 47, 3564, 85, 26, 1691, 1421, 1166, 10814, 21979, 3996, 1038, 4404, 13444, 1383, 6710, 1759, 19118, 3996, 1038, 5555, 7400, 1605, 12800, 30627, 29564, 24718, 2503, 25063, 11479, 2973, 1051, 1303, 1009, 16987, 23532, 2344, 10394, 11144, 5361, 6170, 1037, 4916, 1691, 5468, 11644, 1691, 1193, 1777, 8018, 1507, 5423, 22790, 1326, 2165, 17910, 21908, 17910, 21908, 1759, 15478, 3343, 3141, 1045, 2491, 1303, 1576, 26499, 29546, 2995, 2126, 17015, 2530, 1005, 7647, 2184, 8001, 1391, 3141, 1045, 11993, 1009, 10026, 1691, 1223, 1905, 19309, 10888, 1458, 1691, 1223, 1905, 19309, 1691, 13196, 1691, 1223, 1905, 19309, 1691, 13196, 7133, 2157, 1049, 11670, 7133, 2157, 1797, 5689, 11564, 1091, 2503, 2477, 4550, 2227, 7133, 30531, 6288, 31438, 18966, 1009, 1535, 3522, 1582, 1797, 28102, 3209, 5026, 76, 2029, 1009, 30943, 2995, 17861, 1009, 27198, 2260, 1161, 3564, 22234, 1009, 25724, 5, 5851, 2484, 1759, 12670, 6834, 1576, 3766, 7515, 4952, 30943, 19309, 1759, 12670, 3155, 1009, 10319, 1759, 12670, 3155, 1009, 15373, 1107, 7570, 10564, 1759, 12670, 3155, 1009, 5344, 2484, 1759, 12670, 3155, 1009, 10944, 1016, 1005, 10504, 2555, 2302, 1016, 1005, 10504, 10888, 1458, 5, 4059, 10993, 18080, 8914, 3537, 20196, 2708, 5, 5861, 1479, 22186, 1060, 11431, 1979, 1187, 19153, 2129, 1045, 1575, 11565, 6475, 1166, 1068, 11718, 1009, 3895, 1544, 3011, 1544, 31674, 1726, 27063, 7602, 1009, 3349, 1493, 8403, 3341, 17112, 4243, 15055, 3141, 2164, 9835, 53, 5640, 3895, 1544, 1009, 12924, 1327, 3974, 10956, 1005, 1009, 1807, 2161, 1049, 2380, 1009, 30544, 8090, 1005, 6894, 1009, 26540, 3316, 10270, 1054, 1044, 3895, 1348, 1009, 1094, 26080, 1206, 1681, 27567, 1298, 18580, 1114, 21749, 1049, 17700, 1009, 16899, 1043, 5018, 8747, 1005, 25492, 7871, 1043, 1006, 6389, 1206, 13051, 1049, 1867, 7895, 1063, 5020, 1009, 13862, 9701, 1054, 3895, 1544, 1005, 1569, 11335, 1233, 26298, 1049, 7807, 2231, 22838, 1009, 11193, 1272, 1479, 9036, 6806, 9189, 1046, 1807, 10417, 1068, 1132, 9449, 1049, 4898, 1009, 3894, 11196, 20, 23527, 1016, 13862, 9553, 1132, 23390, 2147, 1187, 3895, 1544, 1009, 12924, 1826, 18431, 1006, 1624, 1041, 3737, 29457, 10257, 9363, 1160, 8218, 21320, 1159, 1124, 13862, 5176, 6397, 1726, 27063, 7602, 1624, 1041, 3220, 1009, 3349, 1493, 3652, 5330, 2494, 11718, 1009, 6486, 1335, 1229, 1327, 6475, 1166, 19153, 2129, 1045, 1575, 11565, 1068, 1006, 13339, 1060, 3450, 1049, 17700, 1005, 1049, 11797, 9970, 16127, 21617, 1463, 10457, 6306, 20, 2034, 10457, 6306, 9227, 1160, 6475, 1046, 19153, 2129, 1045, 1575, 27439, 1043, 1026, 3489, 1009, 9854, 1006, 14085, 7415, 1187, 3895, 1544, 1009, 12924, 1679, 23452, 1624, 1041, 3737, 1009, 3349, 1493, 3652, 7425, 6020, 1157, 1111, 29130, 1124, 30653, 1271, 10457, 30333, 2950, 1233, 13339, 1060, 14085, 7415, 1187, 3895, 1544, 1009, 3359, 4195, 31674, 1006, 1989, 2446, 3437, 6567, 1009, 27063, 23148, 1026, 3863, 4545, 17195, 9854, 1006, 11431, 1979, 1187, 19153, 2129, 1045, 1575, 11565, 19825, 6816, 6475, 1166, 2691, 10457, 9227, 1005, 1318, 15214, 1094, 2360, 6406, 1009, 2967, 1214, 1229, 2966, 10176, 2129, 1045, 22838, 1009, 19638, 26566, 14024, 1359, 6523, 1054, 3563, 1067, 44, 3006, 31869, 5313, 1402, 1132, 3770, 1005, 1132, 19153, 9309, 1054, 13172, 1048, 12549, 1040, 1132, 23452, 2601, 2650, 1009, 27063, 7602, 1624, 1041, 3220, 1009, 3349, 1493, 3652, 5330, 1063, 9141, 5473, 19153, 2177, 1419, 7869, 4176, 23292, 1132, 5635, 1009, 3349, 1009, 9883, 1187, 19153, 1009, 19638, 1359, 6523, 1054, 3563, 1067, 44, 28, 1005, 1072, 31226, 21893, 1068, 5654, 1009, 13490, 1049, 4818, 1187, 3895, 5783, 1986, 1006, 6446, 1187, 19153, 1009, 2283, 1075, 2351, 1096, 19443, 6838, 1371, 1006, 4728, 9838, 2027, 1049, 10359, 3590, 6319, 4821, 1467, 40, 4233, 4071, 25432, 19385, 1315, 13668, 3895, 1248, 6239, 2062, 24270, 2159, 1581, 91, 4584, 2604, 3300, 1153, 2679, 18, 5907, 8687, 2159, 1928, 1612, 10011, 29357, 1063, 1033, 4622, 2140, 1098, 1006, 3895, 1014, 5599, 2325, 1380, 1006, 1315, 13668, 6912, 2179, 2136, 1098, 1277, 1237, 5246, 1409, 1315, 13668, 11092, 1212, 2196, 8532, 5018, 5101, 2401, 2159, 1172, 6797, 1804, 1203, 1051, 2918, 3880, 89, 1380, 15159, 1139, 3274, 1409, 1867, 3365, 20, 1063, 2730, 5209, 1409, 1494, 1032, 1033, 4622, 22581, 1098, 3895, 1248, 2159, 3143, 89, 5910, 1447, 1018, 2604, 2186, 1488, 13618, 14064, 1409, 2186, 16717, 1789, 12300, 6829, 3982, 2261, 1253, 7753, 1065, 1572, 1227, 1234, 1030, 1932, 75, 1098, 1462, 16180, 1098, 2186, 3197, 95, 23741, 20, 11578, 1669, 1033, 4622, 22581, 1098, 1462, 92, 1253, 2186, 2020, 1917, 6206, 1409, 1315, 13668, 3895, 1248, 6239, 4100, 1034, 5134, 8532, 1821, 1469, 6360, 1341, 18807, 2431, 1165, 5788, 1031, 1624, 1793, 1678, 1111, 1358, 1124, 1033, 4622, 22581, 30516, 27156, 1171, 2604, 1419, 95, 30417, 1624, 1793, 1916, 5347, 1051, 25730, 8833, 1253, 4227, 1867, 3365, 18, 6239, 25552, 27993, 2129, 10111, 1789, 3108, 89, 1234, 15098, 1253, 2186, 1428, 2498, 1409, 11092, 19632, 2159, 31452, 4200, 3824, 1253, 2186, 2025, 1038, 2918, 15757, 1171, 1098, 2186, 2438, 2807, 2867, 25807, 1528, 1916, 2045, 22407, 2438, 2807, 2867, 25807, 21683, 1049, 2204, 25552, 12365, 3108, 1253, 2129, 10111, 1789, 89, 1098, 1380, 6741, 2604, 1351, 1262, 2186, 11092, 1790, 72, 14064, 1409, 2186, 1315, 13668, 3895, 1014, 2604, 2186, 1419, 95, 30417, 1624, 1793, 89, 9222, 1051, 13449, 1377, 1063, 1053, 1253, 2604, 12645, 2021, 2186, 23335, 1956, 13369, 1018, 1409, 22407, 25807, 1528, 1678, 2488, 14747, 2325, 1409, 11092, 1790, 72, 14064, 1409, 1315, 13668, 3895, 1248, 1681, 80, 1087, 5134, 2604, 1111, 1358, 1006, 1413, 10820, 12888, 24798, 1462, 10622, 1324, 9023, 30985, 95, 1109, 1334, 1018, 2604, 1351, 1262, 2186, 4330, 24128, 1409, 25807, 1528, 2129, 10111, 1789, 3108, 89, 25552, 27993, 5067, 22407, 25807, 21683, 2159, 1155, 1135, 4767, 77, 1223, 1006, 4227, 4951, 3387, 1409, 3108, 1678, 1455, 82, 1302, 1253, 3080, 1767, 84, 1253, 2283, 1075, 1117, 2129, 10111, 1789, 3108, 5969, 3669, 1171, 1098, 1067, 44, 28, 3881, 2440, 3365, 20, 3614, 26501, 6732, 2369, 1093, 26482, 2186, 2136, 89, 2159, 8778, 8065, 3108, 89, 15191, 5912, 1297, 1197, 2186, 9222, 1051, 1104, 1937, 15191, 3300, 1153, 1133, 1419, 95, 30417, 1624, 1793, 1916, 2045, 3581, 1820, 22783, 95, 1409, 3286, 4201, 3108, 89, 26501, 6732, 1419, 27993, 5067, 1287, 1024, 1253, 2186, 13017, 1409, 2186, 2020, 12756, 76, 3299, 1409, 2186, 2283, 1075, 1117, 3108, 21818, 2488, 2186, 1067, 44, 28, 2159, 1098, 2186, 1006, 8607, 8204, 31601, 1234, 25730, 1334, 1018, 1409, 21720, 1253, 2186, 10647, 1409, 3895, 7174, 1744, 1363, 1168, 19632, 1253, 2186, 3108, 7684, 13335, 1504, 1109, 1334, 1171, 2604, 2197, 5257, 2186, 9838, 90, 2918, 1795, 15236, 1867, 3365, 3590, 6319, 4821, 2555, 25858, 14482, 6946, 1898, 8176, 1060, 5978, 32, 3939, 10993, 18080, 2995, 21901, 1955, 1046, 1021, 3013, 1605, 1092, 1032, 20716, 7384, 1617, 2976, 18690, 2645, 3831, 7338, 3710, 41, 10118, 1545, 1060, 4919, 1609, 32, 10039, 1123, 1016, 79, 1063, 1816, 79, 1071, 8849, 29187, 15212, 3223, 10118, 1545, 1060, 4919, 1609, 32, 15371, 7980, 1060, 6285, 7706, 6070, 44, 9554, 11427, 19319, 1007, 12799, 3883, 1107, 1167, 32, 26841, 1544, 1009, 3359, 4195, 26841, 1544, 3011, 5783, 8266, 13646, 2129, 1045, 1575, 11565, 1059, 11036, 9936, 4676, 12300, 3895, 7174, 1142, 11004, 1253, 3895, 7174, 1119, 2732, 1507, 1789, 3108, 89, 4355, 21417, 2132, 9891, 26384, 1021, 12444, 29077, 8556, 1759, 1078, 4993, 1383, 1269, 13646, 16873, 1922, 1654, 1759, 31420, 7480, 10940, 1576, 42, 12, 47, 3564, 85, 26, 1691, 13196, 1383, 1269, 13646, 16873, 1922, 1654, 1759, 31420, 7480, 10940, 1576, 42, 12, 47, 3564, 85, 26, 1691, 1421, 1166, 10814, 21979, 6170, 1037, 4916, 8018, 1507, 5423, 1691, 5468, 11644, 1691, 1193, 1777, 2231, 13444, 1691, 13196, 10814, 21979, 6170, 1037, 4916, 8018, 1507, 5423, 1691, 5468, 11644, 1691, 1193, 1777, 2231, 13444, 22790, 1326, 2165, 1691, 1223, 1905, 19309, 29298, 2132, 9891, 26384, 1021, 12444, 29077, 8556, 7133, 24533, 17910, 21908, 1759, 15478, 3343, 24848, 1436, 3141, 1045, 2491, 1303, 1691, 13196, 17910, 21908, 1759, 15478, 3343, 24848, 1436, 3141, 1045, 2491, 1303, 23154, 17464, 1005, 12607, 3401, 29546, 2995, 2126, 17015, 2530, 1005, 7647, 2184, 8001, 1391, 3141, 1045, 11993, 1009, 10026, 1691, 13196, 29546, 2995, 2126, 17015, 2530, 1005, 7647, 2184, 8001, 1391, 3141, 1045, 11993, 1009, 10026, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1691, 13196, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1691, 13196, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1797, 8131, 63, 5264, 45, 26505, 30091, 4579, 1142, 4517, 3710, 41, 1576, 11941, 7317, 1005, 15785, 1009, 11187, 1797, 29290, 9023, 1499, 8504, 5640, 1858, 1009, 1067, 10538, 6091, 8207, 5742, 2794, 31810, 1327, 13479, 1068, 5364, 1005, 4970, 2147, 1009, 3480, 21099, 11239, 18, 9993, 5657, 4906, 1365, 9918, 1063, 1142, 4517, 3710, 41, 4351, 1094, 6735, 1009, 4601, 1009, 19340, 6091, 3245, 15239, 1327, 4088, 32, 4601, 1380, 5395, 2565, 4601, 1206, 22896, 1006, 2323, 1009, 1004, 29349, 1206, 5955, 1916, 2430, 5538, 3291, 1184, 37, 4333, 1054, 4280, 13906, 1054, 2778, 1458, 1797, 29290, 9023, 1499, 8504, 1605, 15212, 3223, 7584, 6386, 9972, 1005, 4910, 1140, 1043, 1026, 3489, 1009, 4531, 1006, 3513, 1009, 29793, 1054, 26797, 1005, 1054, 5309, 1009, 7648, 1184, 3194, 13104, 2494, 6386, 9972, 4173, 1009, 29637, 1009, 6486, 1005, 20001, 1054, 3563, 1009, 26967, 1005, 19973, 23138, 4519, 2356, 16589, 0, 1565, 2494, 6386, 4910, 2166, 1006, 4173, 1009, 2542, 1828, 3139, 1788, 10153, 1005, 5875, 1068, 3540, 1009, 7925, 1005, 3725, 1009, 26051, 2494, 15048, 1416, 1128, 4216, 17699, 1341, 1274, 5035, 1026, 7346, 1303, 1006, 27615, 1048, 4279, 1006, 22321, 11848, 1009, 1969, 1229, 1867, 8424, 1970, 5775, 1005, 7156, 14767, 3150, 6771, 1096, 2481, 2837, 1094, 26967, 1009, 25267, 1337, 1009, 2696, 20179, 20, 2430, 5538, 3291, 1184, 37, 4333, 1054, 4280, 13906, 1054, 2778, 1458, 1797, 29290, 9023, 1499, 8504, 18123, 2236, 31631, 15693, 5621, 1162, 77, 8834, 1005, 3477, 1085, 1732, 1391, 1068, 8195, 1009, 3425, 1009, 5779, 12075, 5416, 1990, 2225, 79, 5954, 3790, 22800, 1005, 2089, 9933, 20, 9075, 1120, 1303, 5723, 1053, 22838, 1048, 6901, 9830, 1009, 1871, 3135, 9996, 1009, 22014, 27269, 1068, 5875, 1006, 24282, 5527, 4404, 1575, 27439, 5527, 6474, 1242, 1005, 9734, 9255, 1681, 6267, 4275, 1005, 9273, 1009, 1124, 1135, 1013, 7895, 22120, 1303, 1006, 11759, 1014, 4789, 3109, 1013, 1026, 3202, 1184, 19682, 1068, 1068, 9126, 1006, 5364, 1009, 29637, 1746, 27428, 1341, 1009, 1970, 5775, 1005, 22321, 1009, 2000, 1554, 2430, 5538, 3291, 1184, 37, 4333, 1054, 4280, 13906, 1054, 2778, 1458, 1797, 29290, 9023, 1499 ]

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

[ 6112, 1032, 1343, 1383, 26447, 4071, 54, 2599, 1383, 1012, 1439, 1054, 4280, 1691, 13196, 1576, 42, 12, 47, 11891, 1009, 6112, 1032, 1343, 1383, 26447, 4071, 54, 2599, 1383, 1012, 1439, 1054, 4280, 5161, 8515, 1009, 11313, 8522, 1049, 15212, 3223, 19878, 1213, 3090, 1009, 6286, 6778, 2445, 1043, 3910, 2161, 27649, 3482, 10199, 1184, 1691, 1421, 1166, 10814, 21979, 1467, 1812, 15111, 2127, 1149, 1072, 3099, 1009, 3894, 1043, 10700, 1009, 21059, 2292, 90, 9872, 3482, 10199, 1184, 3564, 4372, 3996, 1038, 4404, 13444, 1383, 6710, 1759, 19118, 3996, 1038, 5555, 7400, 1605, 12800, 30627, 1691, 13196, 3996, 1038, 4404, 13444, 1383, 6710, 1759, 19118, 3996, 1038, 5555, 7400, 1605, 12800, 30627, 29564, 24718, 2503, 25063, 11479, 2973, 1051, 1303, 1009, 16987, 23532, 2344, 10394, 11144, 5361, 1691, 13196, 29564, 24718, 2503, 25063, 11479, 2973, 1051, 1303, 1009, 16987, 23532, 2344, 10394, 11144, 5361, 6170, 1037, 4916, 22790, 1326, 2165, 28077, 14980, 1060, 5110, 1009, 14947, 20307, 1005, 16232, 1009, 9040, 1005, 6486, 3482, 10199, 1184, 8018, 1507, 5423, 6170, 1148, 2510, 1010, 6286, 1068, 16934, 1026, 4957, 1187, 5870, 1043, 7051, 1114, 11174, 6272, 3482, 10199, 1184, 1691, 5468, 11644, 8539, 5505, 2571, 22381, 1005, 9556, 1043, 9278, 4318, 1068, 8900, 1132, 8113, 1049, 4898, 3482, 10199, 1184, 1691, 1193, 1777, 2231, 13444, 24861, 5670, 25018, 1009, 3140, 1068, 1048, 1006, 16788, 11196, 10008, 1184, 4761, 1005, 3235, 3482, 10199, 1184, 22790, 1326, 2165, 17910, 21908, 1576, 26499, 1691, 1223, 1905, 1759, 1078, 4993, 1383, 1269, 13646, 16873, 1922, 1654, 1759, 31420, 7480, 10940, 1576, 42, 12, 47, 3564, 85, 26, 1691, 1421, 1166, 10814, 21979, 3996, 1038, 4404, 13444, 1383, 6710, 1759, 19118, 3996, 1038, 5555, 7400, 1605, 12800, 30627, 29564, 24718, 2503, 25063, 11479, 2973, 1051, 1303, 1009, 16987, 23532, 2344, 10394, 11144, 5361, 6170, 1037, 4916, 1691, 5468, 11644, 1691, 1193, 1777, 8018, 1507, 5423, 22790, 1326, 2165, 17910, 21908, 17910, 21908, 1759, 15478, 3343, 3141, 1045, 2491, 1303, 1576, 26499, 29546, 2995, 2126, 17015, 2530, 1005, 7647, 2184, 8001, 1391, 3141, 1045, 11993, 1009, 10026, 1691, 1223, 1905, 19309, 10888, 1458, 1691, 1223, 1905, 19309, 1691, 13196, 1691, 1223, 1905, 19309, 1691, 13196, 7133, 2157, 1049, 11670, 7133, 2157, 1797, 5689, 11564, 1091, 2503, 2477, 4550, 2227, 7133, 30531, 6288, 31438, 18966, 1009, 1535, 3522, 1582, 1797, 28102, 3209, 5026, 76, 2029, 1009, 30943, 2995, 17861, 1009, 27198, 2260, 1161, 3564, 22234, 1009, 25724, 5, 5851, 2484, 1759, 12670, 6834, 1576, 3766, 7515, 4952, 30943, 19309, 1759, 12670, 3155, 1009, 10319, 1759, 12670, 3155, 1009, 15373, 1107, 7570, 10564, 1759, 12670, 3155, 1009, 5344, 2484, 1759, 12670, 3155, 1009, 10944, 1016, 1005, 10504, 2555, 2302, 1016, 1005, 10504, 10888, 1458, 5, 4059, 10993, 18080, 8914, 3537, 20196, 2708, 5, 5861, 1479, 22186, 1060, 11431, 1979, 1187, 19153, 2129, 1045, 1575, 11565, 6475, 1166, 1068, 11718, 1009, 3895, 1544, 3011, 1544, 31674, 1726, 27063, 7602, 1009, 3349, 1493, 8403, 3341, 17112, 4243, 15055, 3141, 2164, 9835, 53, 5640, 3895, 1544, 1009, 12924, 1327, 3974, 10956, 1005, 1009, 1807, 2161, 1049, 2380, 1009, 30544, 8090, 1005, 6894, 1009, 26540, 3316, 10270, 1054, 1044, 3895, 1348, 1009, 1094, 26080, 1206, 1681, 27567, 1298, 18580, 1114, 21749, 1049, 17700, 1009, 16899, 1043, 5018, 8747, 1005, 25492, 7871, 1043, 1006, 6389, 1206, 13051, 1049, 1867, 7895, 1063, 5020, 1009, 13862, 9701, 1054, 3895, 1544, 1005, 1569, 11335, 1233, 26298, 1049, 7807, 2231, 22838, 1009, 11193, 1272, 1479, 9036, 6806, 9189, 1046, 1807, 10417, 1068, 1132, 9449, 1049, 4898, 1009, 3894, 11196, 20, 23527, 1016, 13862, 9553, 1132, 23390, 2147, 1187, 3895, 1544, 1009, 12924, 1826, 18431, 1006, 1624, 1041, 3737, 29457, 10257, 9363, 1160, 8218, 21320, 1159, 1124, 13862, 5176, 6397, 1726, 27063, 7602, 1624, 1041, 3220, 1009, 3349, 1493, 3652, 5330, 2494, 11718, 1009, 6486, 1335, 1229, 1327, 6475, 1166, 19153, 2129, 1045, 1575, 11565, 1068, 1006, 13339, 1060, 3450, 1049, 17700, 1005, 1049, 11797, 9970, 16127, 21617, 1463, 10457, 6306, 20, 2034, 10457, 6306, 9227, 1160, 6475, 1046, 19153, 2129, 1045, 1575, 27439, 1043, 1026, 3489, 1009, 9854, 1006, 14085, 7415, 1187, 3895, 1544, 1009, 12924, 1679, 23452, 1624, 1041, 3737, 1009, 3349, 1493, 3652, 7425, 6020, 1157, 1111, 29130, 1124, 30653, 1271, 10457, 30333, 2950, 1233, 13339, 1060, 14085, 7415, 1187, 3895, 1544, 1009, 3359, 4195, 31674, 1006, 1989, 2446, 3437, 6567, 1009, 27063, 23148, 1026, 3863, 4545, 17195, 9854, 1006, 11431, 1979, 1187, 19153, 2129, 1045, 1575, 11565, 19825, 6816, 6475, 1166, 2691, 10457, 9227, 1005, 1318, 15214, 1094, 2360, 6406, 1009, 2967, 1214, 1229, 2966, 10176, 2129, 1045, 22838, 1009, 19638, 26566, 14024, 1359, 6523, 1054, 3563, 1067, 44, 3006, 31869, 5313, 1402, 1132, 3770, 1005, 1132, 19153, 9309, 1054, 13172, 1048, 12549, 1040, 1132, 23452, 2601, 2650, 1009, 27063, 7602, 1624, 1041, 3220, 1009, 3349, 1493, 3652, 5330, 1063, 9141, 5473, 19153, 2177, 1419, 7869, 4176, 23292, 1132, 5635, 1009, 3349, 1009, 9883, 1187, 19153, 1009, 19638, 1359, 6523, 1054, 3563, 1067, 44, 28, 1005, 1072, 31226, 21893, 1068, 5654, 1009, 13490, 1049, 4818, 1187, 3895, 5783, 1986, 1006, 6446, 1187, 19153, 1009, 2283, 1075, 2351, 1096, 19443, 6838, 1371, 1006, 4728, 9838, 2027, 1049, 10359, 3590, 6319, 4821, 1467, 40, 4233, 4071, 25432, 19385, 1315, 13668, 3895, 1248, 6239, 2062, 24270, 2159, 1581, 91, 4584, 2604, 3300, 1153, 2679, 18, 5907, 8687, 2159, 1928, 1612, 10011, 29357, 1063, 1033, 4622, 2140, 1098, 1006, 3895, 1014, 5599, 2325, 1380, 1006, 1315, 13668, 6912, 2179, 2136, 1098, 1277, 1237, 5246, 1409, 1315, 13668, 11092, 1212, 2196, 8532, 5018, 5101, 2401, 2159, 1172, 6797, 1804, 1203, 1051, 2918, 3880, 89, 1380, 15159, 1139, 3274, 1409, 1867, 3365, 20, 1063, 2730, 5209, 1409, 1494, 1032, 1033, 4622, 22581, 1098, 3895, 1248, 2159, 3143, 89, 5910, 1447, 1018, 2604, 2186, 1488, 13618, 14064, 1409, 2186, 16717, 1789, 12300, 6829, 3982, 2261, 1253, 7753, 1065, 1572, 1227, 1234, 1030, 1932, 75, 1098, 1462, 16180, 1098, 2186, 3197, 95, 23741, 20, 11578, 1669, 1033, 4622, 22581, 1098, 1462, 92, 1253, 2186, 2020, 1917, 6206, 1409, 1315, 13668, 3895, 1248, 6239, 4100, 1034, 5134, 8532, 1821, 1469, 6360, 1341, 18807, 2431, 1165, 5788, 1031, 1624, 1793, 1678, 1111, 1358, 1124, 1033, 4622, 22581, 30516, 27156, 1171, 2604, 1419, 95, 30417, 1624, 1793, 1916, 5347, 1051, 25730, 8833, 1253, 4227, 1867, 3365, 18, 6239, 25552, 27993, 2129, 10111, 1789, 3108, 89, 1234, 15098, 1253, 2186, 1428, 2498, 1409, 11092, 19632, 2159, 31452, 4200, 3824, 1253, 2186, 2025, 1038, 2918, 15757, 1171, 1098, 2186, 2438, 2807, 2867, 25807, 1528, 1916, 2045, 22407, 2438, 2807, 2867, 25807, 21683, 1049, 2204, 25552, 12365, 3108, 1253, 2129, 10111, 1789, 89, 1098, 1380, 6741, 2604, 1351, 1262, 2186, 11092, 1790, 72, 14064, 1409, 2186, 1315, 13668, 3895, 1014, 2604, 2186, 1419, 95, 30417, 1624, 1793, 89, 9222, 1051, 13449, 1377, 1063, 1053, 1253, 2604, 12645, 2021, 2186, 23335, 1956, 13369, 1018, 1409, 22407, 25807, 1528, 1678, 2488, 14747, 2325, 1409, 11092, 1790, 72, 14064, 1409, 1315, 13668, 3895, 1248, 1681, 80, 1087, 5134, 2604, 1111, 1358, 1006, 1413, 10820, 12888, 24798, 1462, 10622, 1324, 9023, 30985, 95, 1109, 1334, 1018, 2604, 1351, 1262, 2186, 4330, 24128, 1409, 25807, 1528, 2129, 10111, 1789, 3108, 89, 25552, 27993, 5067, 22407, 25807, 21683, 2159, 1155, 1135, 4767, 77, 1223, 1006, 4227, 4951, 3387, 1409, 3108, 1678, 1455, 82, 1302, 1253, 3080, 1767, 84, 1253, 2283, 1075, 1117, 2129, 10111, 1789, 3108, 5969, 3669, 1171, 1098, 1067, 44, 28, 3881, 2440, 3365, 20, 3614, 26501, 6732, 2369, 1093, 26482, 2186, 2136, 89, 2159, 8778, 8065, 3108, 89, 15191, 5912, 1297, 1197, 2186, 9222, 1051, 1104, 1937, 15191, 3300, 1153, 1133, 1419, 95, 30417, 1624, 1793, 1916, 2045, 3581, 1820, 22783, 95, 1409, 3286, 4201, 3108, 89, 26501, 6732, 1419, 27993, 5067, 1287, 1024, 1253, 2186, 13017, 1409, 2186, 2020, 12756, 76, 3299, 1409, 2186, 2283, 1075, 1117, 3108, 21818, 2488, 2186, 1067, 44, 28, 2159, 1098, 2186, 1006, 8607, 8204, 31601, 1234, 25730, 1334, 1018, 1409, 21720, 1253, 2186, 10647, 1409, 3895, 7174, 1744, 1363, 1168, 19632, 1253, 2186, 3108, 7684, 13335, 1504, 1109, 1334, 1171, 2604, 2197, 5257, 2186, 9838, 90, 2918, 1795, 15236, 1867, 3365, 3590, 6319, 4821, 2555, 25858, 14482, 6946, 1898, 8176, 1060, 5978, 32, 3939, 10993, 18080, 2995, 21901, 1955, 1046, 1021, 3013, 1605, 1092, 1032, 20716, 7384, 1617, 2976, 18690, 2645, 3831, 7338, 3710, 41, 10118, 1545, 1060, 4919, 1609, 32, 10039, 1123, 1016, 79, 1063, 1816, 79, 1071, 8849, 29187, 15212, 3223, 10118, 1545, 1060, 4919, 1609, 32, 15371, 7980, 1060, 6285, 7706, 6070, 44, 9554, 11427, 19319, 1007, 12799, 3883, 1107, 1167, 32, 26841, 1544, 1009, 3359, 4195, 26841, 1544, 3011, 5783, 8266, 13646, 2129, 1045, 1575, 11565, 1059, 11036, 9936, 4676, 12300, 3895, 7174, 1142, 11004, 1253, 3895, 7174, 1119, 2732, 1507, 1789, 3108, 89, 4355, 21417, 2132, 9891, 26384, 1021, 12444, 29077, 8556, 1759, 1078, 4993, 1383, 1269, 13646, 16873, 1922, 1654, 1759, 31420, 7480, 10940, 1576, 42, 12, 47, 3564, 85, 26, 1691, 13196, 1383, 1269, 13646, 16873, 1922, 1654, 1759, 31420, 7480, 10940, 1576, 42, 12, 47, 3564, 85, 26, 1691, 1421, 1166, 10814, 21979, 6170, 1037, 4916, 8018, 1507, 5423, 1691, 5468, 11644, 1691, 1193, 1777, 2231, 13444, 1691, 13196, 10814, 21979, 6170, 1037, 4916, 8018, 1507, 5423, 1691, 5468, 11644, 1691, 1193, 1777, 2231, 13444, 22790, 1326, 2165, 1691, 1223, 1905, 19309, 29298, 2132, 9891, 26384, 1021, 12444, 29077, 8556, 7133, 24533, 17910, 21908, 1759, 15478, 3343, 24848, 1436, 3141, 1045, 2491, 1303, 1691, 13196, 17910, 21908, 1759, 15478, 3343, 24848, 1436, 3141, 1045, 2491, 1303, 23154, 17464, 1005, 12607, 3401, 29546, 2995, 2126, 17015, 2530, 1005, 7647, 2184, 8001, 1391, 3141, 1045, 11993, 1009, 10026, 1691, 13196, 29546, 2995, 2126, 17015, 2530, 1005, 7647, 2184, 8001, 1391, 3141, 1045, 11993, 1009, 10026, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1691, 13196, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1691, 13196, 1383, 5116, 1872, 2555, 12792, 1208, 1535, 10733, 5, 25653, 21658, 6226, 5, 5359, 1368, 1095, 10664, 1375, 4066, 1797, 8131, 63, 5264, 45, 26505, 30091, 4579, 1142, 4517, 3710, 41, 1576, 11941, 7317, 1005, 15785, 1009, 11187, 1797, 29290, 9023, 1499, 8504, 5640, 1858, 1009, 1067, 10538, 6091, 8207, 5742, 2794, 31810, 1327, 13479, 1068, 5364, 1005, 4970, 2147, 1009, 3480, 21099, 11239, 18, 9993, 5657, 4906, 1365, 9918, 1063, 1142, 4517, 3710, 41, 4351, 1094, 6735, 1009, 4601, 1009, 19340, 6091, 3245, 15239, 1327, 4088, 32, 4601, 1380, 5395, 2565, 4601, 1206, 22896, 1006, 2323, 1009, 1004, 29349, 1206, 5955, 1916, 2430, 5538, 3291, 1184, 37, 4333, 1054, 4280, 13906, 1054, 2778, 1458, 1797, 29290, 9023, 1499, 8504, 1605, 15212, 3223, 7584, 6386, 9972, 1005, 4910, 1140, 1043, 1026, 3489, 1009, 4531, 1006, 3513, 1009, 29793, 1054, 26797, 1005, 1054, 5309, 1009, 7648, 1184, 3194, 13104, 2494, 6386, 9972, 4173, 1009, 29637, 1009, 6486, 1005, 20001, 1054, 3563, 1009, 26967, 1005, 19973, 23138, 4519, 2356, 16589, 0, 1565, 2494, 6386, 4910, 2166, 1006, 4173, 1009, 2542, 1828, 3139, 1788, 10153, 1005, 5875, 1068, 3540, 1009, 7925, 1005, 3725, 1009, 26051, 2494, 15048, 1416, 1128, 4216, 17699, 1341, 1274, 5035, 1026, 7346, 1303, 1006, 27615, 1048, 4279, 1006, 22321, 11848, 1009, 1969, 1229, 1867, 8424, 1970, 5775, 1005, 7156, 14767, 3150, 6771, 1096, 2481, 2837, 1094, 26967, 1009, 25267, 1337, 1009, 2696, 20179, 20, 2430, 5538, 3291, 1184, 37, 4333, 1054, 4280, 13906, 1054, 2778, 1458, 1797, 29290, 9023, 1499, 8504, 18123, 2236, 31631, 15693, 5621, 1162, 77, 8834, 1005, 3477, 1085, 1732, 1391, 1068, 8195, 1009, 3425, 1009, 5779, 12075, 5416, 1990, 2225, 79, 5954, 3790, 22800, 1005, 2089, 9933, 20, 9075, 1120, 1303, 5723, 1053, 22838, 1048, 6901, 9830, 1009, 1871, 3135, 9996, 1009, 22014, 27269, 1068, 5875, 1006, 24282, 5527, 4404, 1575, 27439, 5527, 6474, 1242, 1005, 9734, 9255, 1681, 6267, 4275, 1005, 9273, 1009, 1124, 1135, 1013, 7895, 22120, 1303, 1006, 11759, 1014, 4789, 3109, 1013, 1026, 3202, 1184, 19682, 1068, 1068, 9126, 1006, 5364, 1009, 29637, 1746, 27428, 1341, 1009, 1970, 5775, 1005, 22321, 1009, 2000, 1554, 2430, 5538, 3291, 1184, 37, 4333, 1054, 4280, 13906, 1054, 2778, 1458, 1797, 29290, 9023, 1499 ]

[ 6662, 2106, 1094, 1472, 2464, 1233, 7475, 1620, 1160, 2257, 3048, 1668, 3048, 2143, 10840, 1847, 1026, 3258, 3420, 2265, 4576, 1168, 16205, 1044, 675, 1509, 4613, 13948, 20, 2034, 2156, 11723, 8651, 1049, 3273, 1646, 1184, 6849, 1213, 5296, 1526, 4808, 7980, 20, 8601, 3108, 1303, 1006, 6140, 1271, 22979, 1096, 28638, 1118, 2373, 3276, 1009, 1764, 26675, 626, 1005, 1026, 3258, 3420, 2373, 3276, 1009, 3584, 1156, 1199, 8226, 1063, 20139, 19847, 1009, 9788, 24249, 1271, 22979, 1406, 1054, 2490, 2271, 2322, 7678, 1206, 2322, 29, 2400, 1976, 10188, 1159, 1096, 1118, 4810, 1718, 2647, 1233, 24458, 1009, 6831, 1009, 1359, 17825, 1126, 1132, 12232, 1074, 1048, 1057, 2174, 14962, 1006, 27682, 15994, 16139, 15108, 1596, 3312, 1580, 1118, 15565, 8708, 1485, 3220, 2271, 1006, 27387, 1060, 26453, 1114, 3836, 1049, 3826, 1704, 1831, 12114, 19935, 1065, 1304, 11788, 11723, 1195, 21330, 1009, 2899, 13448, 6718, 1006, 6043, 7316, 1006, 1235, 12829, 3381, 1009, 2899, 28860, 3204, 7315, 10116, 5291, 1006, 4204, 1027, 1128, 3294, 1009, 6624, 4901, 1054, 2322, 29, 2639, 1424, 1006, 3248, 1251, 8246, 1009, 1128, 3294, 1009, 6624, 14127, 1006, 28678, 1481, 1324, 4808, 3512, 1205, 1509, 11382, 1048, 2927, 10006, 1124, 2156, 11723, 1054, 1720, 1049, 1235, 5102, 12829, 15630, 7098, 1400, 5421, 2698, 5680, 3997, 1043, 3968, 1040, 10325, 2549, 5561, 1259, 9276, 3126, 1668, 11215, 31183, 28340, 1048, 1118, 2922, 1009, 2322, 4700, 2284, 20467, 1043, 1801, 1326, 1140, 1043, 11150, 1233, 6140, 1049, 1134, 1214, 1672, 1846, 1009, 4125, 1702, 1557, 1114, 11811, 2469, 15606, 6189, 8416, 1124, 22979, 1118, 2922, 1009, 2322, 30, 2041, 3994, 1233, 1143, 96, 1060, 28313, 1060, 4934, 20, 1505, 2122, 4464, 1261, 24141, 150, 28147, 1006, 9164, 1026, 1831, 2269, 21813, 1060, 27682, 23250, 1371, 1318, 1026, 21861, 1049, 9957, 3947, 8766, 17798, 2140, 12003, 1048, 1072, 2738, 1049, 4113, 1303, 2569, 1807, 4493, 1072, 3090, 12165, 1221, 1271, 11723, 9028, 1017, 1423, 1728, 3968, 1040, 10325, 2549, 5561, 1259, 1051, 8743, 1463, 22979, 1657, 1890, 2256, 2864, 20512, 1010, 1132, 2688, 15606, 3417, 1006, 27682, 3121, 1213, 14735, 1005, 1233, 9120, 1009, 19953, 1043, 1124, 2089, 675, 23171, 10064, 6189, 8416, 1054, 1009, 1764, 6916, 17117, 6849, 4808, 8110, 1156, 1381, 18394, 1060, 6043, 7316, 5166, 1081, 1065, 1896, 1006, 3381, 1060, 17520, 21116, 1026, 28570, 1054, 9377, 2471, 11683, 1079, 1026, 4113, 1303, 1060, 27682, 1043, 3974, 28447, 1060, 20038, 1005, 1060, 5644, 2469, 1679, 2688, 1058, 2969, 9334, 1118, 2922, 1009, 1054, 1984, 12430, 2653, 5038, 1229, 18289, 6683, 1009, 2754, 5852, 1009, 8258, 11132, 1049, 3184, 20, 3204, 4113, 1303, 3956, 14972, 1213, 2729, 1060, 8506, 1060, 27682, 1043, 1752, 2531, 1006, 18051, 1005, 4524, 1006, 1751, 1009, 3548, 1048, 3684, 1023, 1529, 12433, 1043, 2068, 1114, 2706, 1009, 23090, 1100, 1011, 1367, 2166, 31987, 1005, 1114, 10574, 1060, 3764, 96, 1623, 1005, 1049, 9957, 9718, 1063, 1944, 4113, 1112, 1006, 1184, 3412, 1870, 1006, 1058, 6537, 1005, 1006, 3895, 8416, 1054, 8565, 1195, 1124, 2955, 80, 1400, 1048, 3661, 6866, 1009, 1143, 1615, 1054, 1984, 23, 2400, 1043, 1094, 17224, 1114, 15207, 1493, 4260, 1233, 1009, 3584, 4934, 20, 8602, 8565, 1271, 2955, 22618, 3586, 17642, 11534, 2252, 1124, 13695, 10848, 1060, 6140, 1271, 22979, 3915, 9812, 1009, 3009, 28693, 1493, 6178, 2693, 1006, 6140, 1566, 2909, 4113, 2166, 1847, 1006, 1224, 2779, 1009, 2916, 1009, 2523, 1254, 13515, 5132, 159, 1371, 1048, 1118, 2122, 4464, 9870, 20467, 1132, 4181, 27730, 1213, 2269, 1060, 8506, 15583, 1048, 3004, 1058, 8561, 6871, 80, 152, 3279, 20, 1776, 2268, 1998, 1072, 1852, 1049, 1592, 3009, 1005, 2738, 1049, 2511, 1058, 4597, 6189, 1069, 5948, 1044, 2417, 9909, 6189, 1100, 2259, 11890, 1044, 21813, 1048, 3206, 1051, 2433, 1233, 10464, 1271, 2955, 80, 1400, 1495, 31422, 3006, 15576, 4464, 3475, 1006, 14368, 1005, 1006, 1178, 1044, 2269, 1060, 10464, 1271, 6871, 80, 152, 1678, 12502, 10464, 26191, 1054, 1422, 1009, 8108, 1009, 9856, 2023, 5153, 30649, 1134, 1892, 91, 10182, 1072, 2738, 1049, 4113, 1303, 1060, 27682, 1124, 1783, 2159, 2241, 2054, 1029, 7198, 1124, 7122, 2829, 1009, 1881, 4385, 1160, 2284, 10429, 1005, 1132, 26223, 2184, 1043, 1124, 2089, 11723, 2829, 1493, 29376, 1533, 1088, 2165, 1005, 1734, 1858, 1071, 10622, 1678, 4534, 1308, 10622, 89, 1898, 76, 1362, 1074, 28282, 9074, 1118, 11397, 1085, 1179, 1122, 1034, 24, 1726, 14115, 5003, 5, 12784, 1049, 4434, 24992, 16049, 1177, 1467, 1106, 4186, 39, 1084, 1063, 1062, 10279, 4071, 29177, 1231, 4746, 21902, 20196, 3612, 11632, 5182, 85, 11698, 11516, 14079, 1007, 1094, 1472, 1044, 4026, 1048, 2257, 2125, 1427, 12223, 1094, 1271, 2688, 1516, 1493, 1598, 2669, 1005, 1213, 1592, 1557, 1049, 8576, 1009, 7325, 19722, 20, 17736, 18146, 5045, 1377, 1138, 4026, 2257, 2281, 1493, 1686, 2274, 8261, 1118, 3865, 1009, 1044, 31073, 12361, 2037, 2793, 6255, 10092, 8530, 1531, 1195, 1663, 1094, 5099, 33, 1996, 5754, 9285, 1726, 20619, 1026, 1048, 20228, 1048, 1264, 10985, 18908, 2049, 20, 1479, 2654, 18, 1973, 1006, 1184, 11454, 18, 4647, 1044, 12255, 1005, 1044, 20082, 1009, 1058, 1196, 15562, 2654, 18, 1973, 1006, 1049, 25821, 4647, 1044, 9515, 3498, 1078, 1009, 1011, 13506, 15562, 1084, 12931, 1048, 1048, 1074, 37, 1479, 9285, 1264, 1233, 1184, 2360, 15562, 3316, 15830, 2072, 12307, 1159, 17456, 9410, 1687, 15562, 17243, 10094, 1973, 1264, 1833, 14066, 2098, 1265, 1069, 1702, 1557, 8691, 1124, 1244, 6857, 1009, 1569, 1427, 12223, 1973, 1233, 1184, 2360, 1898, 620, 1073, 6482, 3062, 2237, 12307, 4474, 1377, 12911, 2519, 1323, 2793, 1687, 7, 2995, 1623, 2793, 1493, 4294, 1140, 1005, 9285, 1213, 3372, 1118, 1048, 1096, 1048, 3684, 2257, 11684, 1639, 1061, 1667, 2200, 18, 1006, 21801, 1160, 1064, 1137, 6479, 16005, 1309, 1687, 12818, 20031, 30863, 1048, 1264, 3684, 9410, 1048, 1072, 10588, 1571, 2257, 31479, 1188, 7881, 15830, 4748, 1094, 2736, 2339, 1048, 3684, 9285, 1068, 2306, 1687, 1516, 33, 1048, 1264, 3684, 9410, 1048, 1516, 1068, 1006, 1224, 5380, 1184, 2360, 1005, 1687, 3684, 1973, 1048, 1064, 1107, 2284, 1009, 1756, 1930, 1058, 1160, 1048, 1516, 4854, 6302, 4567, 1973, 1687, 1898, 620, 9627, 10109, 1160, 3241, 5018, 1126, 1048, 1503, 4540, 25660, 1195, 20, 4108, 1048, 1687, 5543, 6789, 26243, 2037, 2793, 5617, 1196, 1009, 1419, 2289, 2072, 1124, 1117, 1599, 1309, 11217, 1043, 1493, 5832, 20, 1138, 3372, 7062, 3062, 1044, 2574, 1009, 1557, 1005, 1846, 1195, 1371, 3702, 20, 5045, 1126, 1511, 2793, 26915, 1195, 1006, 1094, 5309, 1005, 3708, 1006, 2736, 5304, 1156, 5035, 1006, 1009, 1698, 1511, 6884, 1006, 3629, 1656, 26731, 1006, 11368, 8607, 29845, 1687, 1114, 14143, 1511, 4388, 1094, 3616, 18287, 33, 3765, 1044, 31284, 1005, 1973, 6256, 1094, 4005, 32, 1479, 2656, 1030, 17722, 5832, 3915, 9033, 1195, 1419, 1026, 1048, 1516, 1005, 7981, 6256, 1094, 2736, 5304, 2231, 1126, 1006, 21801, 8898, 2923, 18, 1309, 1846, 2845, 1006, 1744, 1165, 30896, 4116, 2143, 1531, 1009, 5096, 7981, 6256, 1006, 7975, 7924, 1043, 1026, 19142, 20, 4116, 14549, 3708, 16714, 1006, 24749, 1309, 1160, 3708, 6082, 33, 1006, 3696, 1195, 1371, 1009, 1698, 1005, 4748, 1006, 2921, 2736, 5304, 8974, 11914, 1890, 1493, 4248, 1495, 1048, 1044, 1531, 1195, 9773, 1026, 3372, 33, 1309, 1511, 11217, 1006, 5392, 7351, 1094, 4005, 1048, 3684, 1973, 1898, 620, 2656, 1395, 9583, 1074, 4109, 1009, 2125, 7872, 17222, 3833, 3608, 10435, 71, 1006, 5711, 1026, 1235, 3439, 1005, 1566, 1058, 7800, 1034, 1049, 1048, 1006, 4005, 3684, 2257, 1004, 9744, 22575, 1079, 1006, 2573, 1049, 24506, 1156, 1046, 1006, 4125, 2125, 2250, 1511, 1058, 14585, 1048, 2257, 1009, 4531, 33, 12215, 14972, 1009, 2693, 1006, 1224, 2531, 1005, 14066, 1006, 4558, 14084, 33, 4064, 3062, 1233, 9342, 1195, 1371, 1009, 1698, 18, 1159, 2257, 1009, 7629, 1324, 1309, 1566, 1160, 4388, 1026, 2742, 1080, 2628, 17833, 6053, 1034, 1009, 9468, 7253, 4970, 2923, 1357, 5096, 1493, 28694, 1195, 1556, 1189, 4882, 1072, 10588, 1005, 1428, 1160, 1195, 1006, 1224, 8942, 13520, 5193, 1072, 4249, 28647, 28028, 7, 3720, 2845, 1006, 1744, 1165, 4882, 5969, 2940, 33, 8261, 1511, 5969, 1753, 1126, 9564, 6256, 1094, 16573, 88, 1549, 1072, 16712, 1060, 22779, 33, 1992, 1048, 1006, 16573, 88, 1549, 3684, 9564, 1006, 22779, 3895, 2923, 2730, 30809, 19536, 1048, 1213, 1592, 1557, 3684, 1973, 1898, 620, 8384, 1030, 3022, 2348, 19935, 96, 7149, 1323, 1190, 1242, 9153, 7, 4714, 2307, 1837, 8134, 6734, 1009, 1646, 2170, 1058, 12931, 1160, 5969, 1170, 5104, 1322, 1026, 2092, 1903, 2784, 1620, 2307, 11645, 18520, 1646, 1184, 1704, 11399, 23725, 3360, 5493, 1048, 14067, 1043, 1687, 1005, 3062, 3154, 1975, 1890, 2653, 1646, 6846, 17112, 18590, 1009, 20537, 29204, 2778, 1010, 6745, 3613, 1005, 1142, 8081, 1467, 1088, 2165, 1005, 1734, 1858, 1071, 10622, 1678, 4534, 1308, 10622, 89, 1898, 1331, 1010, 8426, 28282, 9074, 1118, 11397, 1085, 1179, 1122, 1034, 24, 1726, 14115, 3949, 5, 12784, 1049, 4434, 24992, 16049, 1177, 1576, 3776, 42, 9355, 2321, 9435, 29177, 1231, 4746, 21902, 20196, 3612, 30110, 1837, 1493, 1048, 1132, 28481, 1060, 1098, 29819, 1058, 7444, 21530, 1069, 1114, 5131, 1009, 4919, 22299, 1563, 1048, 1566, 21026, 1052, 1068, 1026, 31736, 1049, 7118, 13044, 1124, 19935, 96, 3352, 1009, 1142, 1529, 4468, 1694, 1026, 4626, 18749, 1005, 5806, 1072, 1235, 15699, 8878, 6399, 2442, 1589, 1006, 3530, 4626, 1554, 1766, 1456, 22670, 26273, 1700, 30593, 1005, 17771, 1121, 18685, 8994, 1014, 1132, 5418, 7591, 7451, 1169, 3817, 84, 1333, 1009, 1224, 12902, 4808, 1387, 17063, 2731, 1169, 3817, 84, 1333, 1048, 3179, 2296, 6422, 18, 1511, 1026, 3152, 1009, 7377, 1182, 1214, 1627, 7522, 1147, 1009, 3445, 1005, 29811, 1058, 8951, 1006, 1842, 1053, 11382, 5380, 1049, 16798, 1009, 1235, 3372, 1123, 1122, 1193, 2139, 25620, 80, 1270, 20, 9072, 2797, 1930, 2115, 2014, 2297, 1005, 4609, 13097, 1047, 2829, 20447, 2051, 20, 4808, 1387, 17063, 2731, 1072, 2268, 1009, 3192, 1058, 14271, 1619, 1153, 1005, 19454, 1006, 10218, 29502, 1250, 1048, 1026, 1235, 1821, 1122, 4296, 1177, 2284, 1009, 4054, 1124, 4386, 1312, 1009, 5412, 17902, 17058, 7762, 3590, 20, 1632, 1047, 1009, 8310, 1035, 1099, 13097, 1242, 1160, 19227, 1589, 2072, 11215, 7898, 18, 1996, 1006, 1717, 1194, 3022, 3702, 7568, 1242, 1117, 1006, 29027, 1005, 20292, 1009, 1834, 1187, 2464, 18593, 23292, 1187, 1962, 3304, 1074, 1005, 6166, 3220, 4079, 20760, 1058, 9656, 1046, 1213, 3159, 1009, 3219, 17058, 7762, 20, 8335, 1114, 7059, 1049, 1155, 1609, 2262, 1009, 1128, 1885, 10182, 4919, 22299, 1563, 1516, 5102, 1005, 14364, 1005, 2349, 2139, 4311, 1461, 1026, 3152, 1009, 2739, 19935, 96, 3352, 1159, 1264, 3266, 4311, 1052, 1026, 1060, 1224, 1493, 1317, 1140, 4790, 5531, 10402, 3423, 2668, 1516, 3838, 1005, 1680, 19427, 1009, 2823, 1005, 1009, 13352, 14286, 1118, 1616, 1026, 13709, 1079, 1005, 17984, 19962, 1006, 4054, 1006, 3560, 1009, 6786, 1005, 1006, 10557, 1213, 2790, 1049, 4026, 1009, 8258, 4808, 12335, 6001, 13310, 1048, 1992, 3360, 1880, 8875, 1009, 5162, 1005, 2161, 8815, 8178, 17894, 1068, 1048, 11637, 1993, 1026, 9826, 1187, 1869, 79, 4543, 1015, 1024, 3980, 4179, 1005, 1058, 16797, 7291, 1132, 15078, 1060, 8459, 1005, 1048, 1616, 1516, 1044, 1169, 3817, 25356, 2072, 17047, 1006, 3219, 1159, 1516, 1026, 1009, 13182, 1213, 24298, 1005, 17653, 1132, 26682, 16645, 1060, 3028, 4899, 2101, 1206, 1026, 1009, 1058, 13435, 1068, 1044, 1005, 1656, 1041, 2297, 1068, 1058, 12952, 1233, 5018, 1041, 1272, 1005, 1213, 17869, 22559, 1821, 1435, 1006, 1224, 1834, 1233, 9304, 1005, 3248, 1049, 2930, 4899, 1032, 8508, 4634, 25268, 1393, 1048, 1058, 4219, 6411, 1009, 4919, 22299, 1563, 1005, 1187, 1456, 1109, 8681, 1177, 2106, 4054, 1006, 1834, 1009, 25214, 18, 13466, 4882, 19, 1034, 1009, 2631, 1340, 1136, 1114, 1224, 1372, 84, 1140, 3590, 20, 1387, 17063, 1231, 17440, 1589, 6753, 4595, 20, 17807, 1808, 1461, 1026, 1235, 15095, 4054, 2742, 5675, 20, 5139, 3684, 20250, 1993, 1026, 7813, 1013, 25214, 20, 2778, 1393, 1846, 1124, 17726, 1005, 2250, 1009, 5844, 1018, 6835, 2897, 1049, 1235, 19705, 4808, 29729, 3779, 25183, 1014, 1074, 1005, 5493, 23472, 1890, 1132, 1456, 1646, 1009, 24723, 1777, 20, 8204, 1250, 3219, 1168, 10838, 1052, 1371, 5493, 1005, 1009, 1007, 6256, 4919, 22299, 1563, 1118, 1616, 1026, 15095, 1836, 13721, 1213, 3159, 1009, 17002, 13988, 1153, 3552, 5096, 1009, 2462, 1627, 31830, 1091, 1159, 1094, 1903, 12222, 1159, 1048, 1118, 1910, 12000, 1005, 1890, 1026, 1235, 9407, 2539, 1734, 22280, 1074, 27790, 32, 1687, 1160, 9846, 15518, 3819, 1273, 1132, 1015 ]

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

[ 6662, 2106, 1094, 1472, 2464, 1233, 7475, 1620, 1160, 2257, 3048, 1668, 3048, 2143, 10840, 1847, 1026, 3258, 3420, 2265, 4576, 1168, 16205, 1044, 675, 1509, 4613, 13948, 20, 2034, 2156, 11723, 8651, 1049, 3273, 1646, 1184, 6849, 1213, 5296, 1526, 4808, 7980, 20, 8601, 3108, 1303, 1006, 6140, 1271, 22979, 1096, 28638, 1118, 2373, 3276, 1009, 1764, 26675, 626, 1005, 1026, 3258, 3420, 2373, 3276, 1009, 3584, 1156, 1199, 8226, 1063, 20139, 19847, 1009, 9788, 24249, 1271, 22979, 1406, 1054, 2490, 2271, 2322, 7678, 1206, 2322, 29, 2400, 1976, 10188, 1159, 1096, 1118, 4810, 1718, 2647, 1233, 24458, 1009, 6831, 1009, 1359, 17825, 1126, 1132, 12232, 1074, 1048, 1057, 2174, 14962, 1006, 27682, 15994, 16139, 15108, 1596, 3312, 1580, 1118, 15565, 8708, 1485, 3220, 2271, 1006, 27387, 1060, 26453, 1114, 3836, 1049, 3826, 1704, 1831, 12114, 19935, 1065, 1304, 11788, 11723, 1195, 21330, 1009, 2899, 13448, 6718, 1006, 6043, 7316, 1006, 1235, 12829, 3381, 1009, 2899, 28860, 3204, 7315, 10116, 5291, 1006, 4204, 1027, 1128, 3294, 1009, 6624, 4901, 1054, 2322, 29, 2639, 1424, 1006, 3248, 1251, 8246, 1009, 1128, 3294, 1009, 6624, 14127, 1006, 28678, 1481, 1324, 4808, 3512, 1205, 1509, 11382, 1048, 2927, 10006, 1124, 2156, 11723, 1054, 1720, 1049, 1235, 5102, 12829, 15630, 7098, 1400, 5421, 2698, 5680, 3997, 1043, 3968, 1040, 10325, 2549, 5561, 1259, 9276, 3126, 1668, 11215, 31183, 28340, 1048, 1118, 2922, 1009, 2322, 4700, 2284, 20467, 1043, 1801, 1326, 1140, 1043, 11150, 1233, 6140, 1049, 1134, 1214, 1672, 1846, 1009, 4125, 1702, 1557, 1114, 11811, 2469, 15606, 6189, 8416, 1124, 22979, 1118, 2922, 1009, 2322, 30, 2041, 3994, 1233, 1143, 96, 1060, 28313, 1060, 4934, 20, 1505, 2122, 4464, 1261, 24141, 150, 28147, 1006, 9164, 1026, 1831, 2269, 21813, 1060, 27682, 23250, 1371, 1318, 1026, 21861, 1049, 9957, 3947, 8766, 17798, 2140, 12003, 1048, 1072, 2738, 1049, 4113, 1303, 2569, 1807, 4493, 1072, 3090, 12165, 1221, 1271, 11723, 9028, 1017, 1423, 1728, 3968, 1040, 10325, 2549, 5561, 1259, 1051, 8743, 1463, 22979, 1657, 1890, 2256, 2864, 20512, 1010, 1132, 2688, 15606, 3417, 1006, 27682, 3121, 1213, 14735, 1005, 1233, 9120, 1009, 19953, 1043, 1124, 2089, 675, 23171, 10064, 6189, 8416, 1054, 1009, 1764, 6916, 17117, 6849, 4808, 8110, 1156, 1381, 18394, 1060, 6043, 7316, 5166, 1081, 1065, 1896, 1006, 3381, 1060, 17520, 21116, 1026, 28570, 1054, 9377, 2471, 11683, 1079, 1026, 4113, 1303, 1060, 27682, 1043, 3974, 28447, 1060, 20038, 1005, 1060, 5644, 2469, 1679, 2688, 1058, 2969, 9334, 1118, 2922, 1009, 1054, 1984, 12430, 2653, 5038, 1229, 18289, 6683, 1009, 2754, 5852, 1009, 8258, 11132, 1049, 3184, 20, 3204, 4113, 1303, 3956, 14972, 1213, 2729, 1060, 8506, 1060, 27682, 1043, 1752, 2531, 1006, 18051, 1005, 4524, 1006, 1751, 1009, 3548, 1048, 3684, 1023, 1529, 12433, 1043, 2068, 1114, 2706, 1009, 23090, 1100, 1011, 1367, 2166, 31987, 1005, 1114, 10574, 1060, 3764, 96, 1623, 1005, 1049, 9957, 9718, 1063, 1944, 4113, 1112, 1006, 1184, 3412, 1870, 1006, 1058, 6537, 1005, 1006, 3895, 8416, 1054, 8565, 1195, 1124, 2955, 80, 1400, 1048, 3661, 6866, 1009, 1143, 1615, 1054, 1984, 23, 2400, 1043, 1094, 17224, 1114, 15207, 1493, 4260, 1233, 1009, 3584, 4934, 20, 8602, 8565, 1271, 2955, 22618, 3586, 17642, 11534, 2252, 1124, 13695, 10848, 1060, 6140, 1271, 22979, 3915, 9812, 1009, 3009, 28693, 1493, 6178, 2693, 1006, 6140, 1566, 2909, 4113, 2166, 1847, 1006, 1224, 2779, 1009, 2916, 1009, 2523, 1254, 13515, 5132, 159, 1371, 1048, 1118, 2122, 4464, 9870, 20467, 1132, 4181, 27730, 1213, 2269, 1060, 8506, 15583, 1048, 3004, 1058, 8561, 6871, 80, 152, 3279, 20, 1776, 2268, 1998, 1072, 1852, 1049, 1592, 3009, 1005, 2738, 1049, 2511, 1058, 4597, 6189, 1069, 5948, 1044, 2417, 9909, 6189, 1100, 2259, 11890, 1044, 21813, 1048, 3206, 1051, 2433, 1233, 10464, 1271, 2955, 80, 1400, 1495, 31422, 3006, 15576, 4464, 3475, 1006, 14368, 1005, 1006, 1178, 1044, 2269, 1060, 10464, 1271, 6871, 80, 152, 1678, 12502, 10464, 26191, 1054, 1422, 1009, 8108, 1009, 9856, 2023, 5153, 30649, 1134, 1892, 91, 10182, 1072, 2738, 1049, 4113, 1303, 1060, 27682, 1124, 1783, 2159, 2241, 2054, 1029, 7198, 1124, 7122, 2829, 1009, 1881, 4385, 1160, 2284, 10429, 1005, 1132, 26223, 2184, 1043, 1124, 2089, 11723, 2829, 1493, 29376, 1533, 1088, 2165, 1005, 1734, 1858, 1071, 10622, 1678, 4534, 1308, 10622, 89, 1898, 76, 1362, 1074, 28282, 9074, 1118, 11397, 1085, 1179, 1122, 1034, 24, 1726, 14115, 5003, 5, 12784, 1049, 4434, 24992, 16049, 1177, 1467, 1106, 4186, 39, 1084, 1063, 1062, 10279, 4071, 29177, 1231, 4746, 21902, 20196, 3612, 11632, 5182, 85, 11698, 11516, 14079, 1007, 1094, 1472, 1044, 4026, 1048, 2257, 2125, 1427, 12223, 1094, 1271, 2688, 1516, 1493, 1598, 2669, 1005, 1213, 1592, 1557, 1049, 8576, 1009, 7325, 19722, 20, 17736, 18146, 5045, 1377, 1138, 4026, 2257, 2281, 1493, 1686, 2274, 8261, 1118, 3865, 1009, 1044, 31073, 12361, 2037, 2793, 6255, 10092, 8530, 1531, 1195, 1663, 1094, 5099, 33, 1996, 5754, 9285, 1726, 20619, 1026, 1048, 20228, 1048, 1264, 10985, 18908, 2049, 20, 1479, 2654, 18, 1973, 1006, 1184, 11454, 18, 4647, 1044, 12255, 1005, 1044, 20082, 1009, 1058, 1196, 15562, 2654, 18, 1973, 1006, 1049, 25821, 4647, 1044, 9515, 3498, 1078, 1009, 1011, 13506, 15562, 1084, 12931, 1048, 1048, 1074, 37, 1479, 9285, 1264, 1233, 1184, 2360, 15562, 3316, 15830, 2072, 12307, 1159, 17456, 9410, 1687, 15562, 17243, 10094, 1973, 1264, 1833, 14066, 2098, 1265, 1069, 1702, 1557, 8691, 1124, 1244, 6857, 1009, 1569, 1427, 12223, 1973, 1233, 1184, 2360, 1898, 620, 1073, 6482, 3062, 2237, 12307, 4474, 1377, 12911, 2519, 1323, 2793, 1687, 7, 2995, 1623, 2793, 1493, 4294, 1140, 1005, 9285, 1213, 3372, 1118, 1048, 1096, 1048, 3684, 2257, 11684, 1639, 1061, 1667, 2200, 18, 1006, 21801, 1160, 1064, 1137, 6479, 16005, 1309, 1687, 12818, 20031, 30863, 1048, 1264, 3684, 9410, 1048, 1072, 10588, 1571, 2257, 31479, 1188, 7881, 15830, 4748, 1094, 2736, 2339, 1048, 3684, 9285, 1068, 2306, 1687, 1516, 33, 1048, 1264, 3684, 9410, 1048, 1516, 1068, 1006, 1224, 5380, 1184, 2360, 1005, 1687, 3684, 1973, 1048, 1064, 1107, 2284, 1009, 1756, 1930, 1058, 1160, 1048, 1516, 4854, 6302, 4567, 1973, 1687, 1898, 620, 9627, 10109, 1160, 3241, 5018, 1126, 1048, 1503, 4540, 25660, 1195, 20, 4108, 1048, 1687, 5543, 6789, 26243, 2037, 2793, 5617, 1196, 1009, 1419, 2289, 2072, 1124, 1117, 1599, 1309, 11217, 1043, 1493, 5832, 20, 1138, 3372, 7062, 3062, 1044, 2574, 1009, 1557, 1005, 1846, 1195, 1371, 3702, 20, 5045, 1126, 1511, 2793, 26915, 1195, 1006, 1094, 5309, 1005, 3708, 1006, 2736, 5304, 1156, 5035, 1006, 1009, 1698, 1511, 6884, 1006, 3629, 1656, 26731, 1006, 11368, 8607, 29845, 1687, 1114, 14143, 1511, 4388, 1094, 3616, 18287, 33, 3765, 1044, 31284, 1005, 1973, 6256, 1094, 4005, 32, 1479, 2656, 1030, 17722, 5832, 3915, 9033, 1195, 1419, 1026, 1048, 1516, 1005, 7981, 6256, 1094, 2736, 5304, 2231, 1126, 1006, 21801, 8898, 2923, 18, 1309, 1846, 2845, 1006, 1744, 1165, 30896, 4116, 2143, 1531, 1009, 5096, 7981, 6256, 1006, 7975, 7924, 1043, 1026, 19142, 20, 4116, 14549, 3708, 16714, 1006, 24749, 1309, 1160, 3708, 6082, 33, 1006, 3696, 1195, 1371, 1009, 1698, 1005, 4748, 1006, 2921, 2736, 5304, 8974, 11914, 1890, 1493, 4248, 1495, 1048, 1044, 1531, 1195, 9773, 1026, 3372, 33, 1309, 1511, 11217, 1006, 5392, 7351, 1094, 4005, 1048, 3684, 1973, 1898, 620, 2656, 1395, 9583, 1074, 4109, 1009, 2125, 7872, 17222, 3833, 3608, 10435, 71, 1006, 5711, 1026, 1235, 3439, 1005, 1566, 1058, 7800, 1034, 1049, 1048, 1006, 4005, 3684, 2257, 1004, 9744, 22575, 1079, 1006, 2573, 1049, 24506, 1156, 1046, 1006, 4125, 2125, 2250, 1511, 1058, 14585, 1048, 2257, 1009, 4531, 33, 12215, 14972, 1009, 2693, 1006, 1224, 2531, 1005, 14066, 1006, 4558, 14084, 33, 4064, 3062, 1233, 9342, 1195, 1371, 1009, 1698, 18, 1159, 2257, 1009, 7629, 1324, 1309, 1566, 1160, 4388, 1026, 2742, 1080, 2628, 17833, 6053, 1034, 1009, 9468, 7253, 4970, 2923, 1357, 5096, 1493, 28694, 1195, 1556, 1189, 4882, 1072, 10588, 1005, 1428, 1160, 1195, 1006, 1224, 8942, 13520, 5193, 1072, 4249, 28647, 28028, 7, 3720, 2845, 1006, 1744, 1165, 4882, 5969, 2940, 33, 8261, 1511, 5969, 1753, 1126, 9564, 6256, 1094, 16573, 88, 1549, 1072, 16712, 1060, 22779, 33, 1992, 1048, 1006, 16573, 88, 1549, 3684, 9564, 1006, 22779, 3895, 2923, 2730, 30809, 19536, 1048, 1213, 1592, 1557, 3684, 1973, 1898, 620, 8384, 1030, 3022, 2348, 19935, 96, 7149, 1323, 1190, 1242, 9153, 7, 4714, 2307, 1837, 8134, 6734, 1009, 1646, 2170, 1058, 12931, 1160, 5969, 1170, 5104, 1322, 1026, 2092, 1903, 2784, 1620, 2307, 11645, 18520, 1646, 1184, 1704, 11399, 23725, 3360, 5493, 1048, 14067, 1043, 1687, 1005, 3062, 3154, 1975, 1890, 2653, 1646, 6846, 17112, 18590, 1009, 20537, 29204, 2778, 1010, 6745, 3613, 1005, 1142, 8081, 1467, 1088, 2165, 1005, 1734, 1858, 1071, 10622, 1678, 4534, 1308, 10622, 89, 1898, 1331, 1010, 8426, 28282, 9074, 1118, 11397, 1085, 1179, 1122, 1034, 24, 1726, 14115, 3949, 5, 12784, 1049, 4434, 24992, 16049, 1177, 1576, 3776, 42, 9355, 2321, 9435, 29177, 1231, 4746, 21902, 20196, 3612, 30110, 1837, 1493, 1048, 1132, 28481, 1060, 1098, 29819, 1058, 7444, 21530, 1069, 1114, 5131, 1009, 4919, 22299, 1563, 1048, 1566, 21026, 1052, 1068, 1026, 31736, 1049, 7118, 13044, 1124, 19935, 96, 3352, 1009, 1142, 1529, 4468, 1694, 1026, 4626, 18749, 1005, 5806, 1072, 1235, 15699, 8878, 6399, 2442, 1589, 1006, 3530, 4626, 1554, 1766, 1456, 22670, 26273, 1700, 30593, 1005, 17771, 1121, 18685, 8994, 1014, 1132, 5418, 7591, 7451, 1169, 3817, 84, 1333, 1009, 1224, 12902, 4808, 1387, 17063, 2731, 1169, 3817, 84, 1333, 1048, 3179, 2296, 6422, 18, 1511, 1026, 3152, 1009, 7377, 1182, 1214, 1627, 7522, 1147, 1009, 3445, 1005, 29811, 1058, 8951, 1006, 1842, 1053, 11382, 5380, 1049, 16798, 1009, 1235, 3372, 1123, 1122, 1193, 2139, 25620, 80, 1270, 20, 9072, 2797, 1930, 2115, 2014, 2297, 1005, 4609, 13097, 1047, 2829, 20447, 2051, 20, 4808, 1387, 17063, 2731, 1072, 2268, 1009, 3192, 1058, 14271, 1619, 1153, 1005, 19454, 1006, 10218, 29502, 1250, 1048, 1026, 1235, 1821, 1122, 4296, 1177, 2284, 1009, 4054, 1124, 4386, 1312, 1009, 5412, 17902, 17058, 7762, 3590, 20, 1632, 1047, 1009, 8310, 1035, 1099, 13097, 1242, 1160, 19227, 1589, 2072, 11215, 7898, 18, 1996, 1006, 1717, 1194, 3022, 3702, 7568, 1242, 1117, 1006, 29027, 1005, 20292, 1009, 1834, 1187, 2464, 18593, 23292, 1187, 1962, 3304, 1074, 1005, 6166, 3220, 4079, 20760, 1058, 9656, 1046, 1213, 3159, 1009, 3219, 17058, 7762, 20, 8335, 1114, 7059, 1049, 1155, 1609, 2262, 1009, 1128, 1885, 10182, 4919, 22299, 1563, 1516, 5102, 1005, 14364, 1005, 2349, 2139, 4311, 1461, 1026, 3152, 1009, 2739, 19935, 96, 3352, 1159, 1264, 3266, 4311, 1052, 1026, 1060, 1224, 1493, 1317, 1140, 4790, 5531, 10402, 3423, 2668, 1516, 3838, 1005, 1680, 19427, 1009, 2823, 1005, 1009, 13352, 14286, 1118, 1616, 1026, 13709, 1079, 1005, 17984, 19962, 1006, 4054, 1006, 3560, 1009, 6786, 1005, 1006, 10557, 1213, 2790, 1049, 4026, 1009, 8258, 4808, 12335, 6001, 13310, 1048, 1992, 3360, 1880, 8875, 1009, 5162, 1005, 2161, 8815, 8178, 17894, 1068, 1048, 11637, 1993, 1026, 9826, 1187, 1869, 79, 4543, 1015, 1024, 3980, 4179, 1005, 1058, 16797, 7291, 1132, 15078, 1060, 8459, 1005, 1048, 1616, 1516, 1044, 1169, 3817, 25356, 2072, 17047, 1006, 3219, 1159, 1516, 1026, 1009, 13182, 1213, 24298, 1005, 17653, 1132, 26682, 16645, 1060, 3028, 4899, 2101, 1206, 1026, 1009, 1058, 13435, 1068, 1044, 1005, 1656, 1041, 2297, 1068, 1058, 12952, 1233, 5018, 1041, 1272, 1005, 1213, 17869, 22559, 1821, 1435, 1006, 1224, 1834, 1233, 9304, 1005, 3248, 1049, 2930, 4899, 1032, 8508, 4634, 25268, 1393, 1048, 1058, 4219, 6411, 1009, 4919, 22299, 1563, 1005, 1187, 1456, 1109, 8681, 1177, 2106, 4054, 1006, 1834, 1009, 25214, 18, 13466, 4882, 19, 1034, 1009, 2631, 1340, 1136, 1114, 1224, 1372, 84, 1140, 3590, 20, 1387, 17063, 1231, 17440, 1589, 6753, 4595, 20, 17807, 1808, 1461, 1026, 1235, 15095, 4054, 2742, 5675, 20, 5139, 3684, 20250, 1993, 1026, 7813, 1013, 25214, 20, 2778, 1393, 1846, 1124, 17726, 1005, 2250, 1009, 5844, 1018, 6835, 2897, 1049, 1235, 19705, 4808, 29729, 3779, 25183, 1014, 1074, 1005, 5493, 23472, 1890, 1132, 1456, 1646, 1009, 24723, 1777, 20, 8204, 1250, 3219, 1168, 10838, 1052, 1371, 5493, 1005, 1009, 1007, 6256, 4919, 22299, 1563, 1118, 1616, 1026, 15095, 1836, 13721, 1213, 3159, 1009, 17002, 13988, 1153, 3552, 5096, 1009, 2462, 1627, 31830, 1091, 1159, 1094, 1903, 12222, 1159, 1048, 1118, 1910, 12000, 1005, 1890, 1026, 1235, 9407, 2539, 1734, 22280, 1074, 27790, 32, 1687, 1160, 9846, 15518, 3819, 1273, 1132, 1015 ]

[ 1046, 20897, 1009, 3032, 4127, 6285, 1060, 3619, 1024, 30613, 1531, 1083, 1009, 9499, 1726, 20925, 11207, 3366, 9606, 4524, 2730, 6502, 1009, 1842, 1046, 20897, 2342, 1672, 1048, 24758, 1026, 2311, 1046, 20897, 5970, 1005, 1026, 4208, 10828, 94, 1046, 20897, 2730, 1998, 4241, 1068, 1094, 1150, 3047, 2985, 73, 1979, 1406, 3748, 15368, 1365, 1132, 11429, 1116, 1252, 19433, 1049, 13171, 1005, 1049, 22852, 18, 1305, 11506, 1114, 8498, 1684, 1193, 1034, 1187, 11872, 1049, 4995, 1005, 3048, 1114, 3112, 2983, 24117, 1009, 2653, 7328, 3399, 23251, 3812, 32, 13019, 15681, 9460, 1799, 10997, 5, 17, 14652, 32, 14796, 1104, 19, 1208, 1029, 8905, 3395, 1005, 14796, 18027, 1035, 94, 1046, 20897, 2592, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 21171, 2704, 7558, 1776, 1043, 3365, 4676, 28705, 3787, 1009, 9499, 32, 15789, 2536, 1941, 1165, 1925, 2536, 2505, 1183, 1344, 1092, 5785, 2536, 5306, 12488, 1797, 9170, 5410, 6856, 1006, 3028, 13976, 1049, 3681, 1009, 9499, 1533, 77, 3787, 3681, 1009, 9499, 32, 15789, 4242, 1029, 1253, 2536, 1941, 1165, 9709, 2536, 2505, 1183, 1344, 1092, 5785, 2536, 5306, 12488, 1863, 6493, 2324, 1179, 25201, 11469, 2250, 1307, 1006, 1779, 1009, 9499, 1054, 3492, 11243, 2929, 1095, 1107, 1144, 1061, 1730, 1126, 11608, 3933, 26021, 4149, 11632, 17, 1869, 85, 7705, 1114, 3289, 4109, 11781, 7094, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 14424, 1071, 5008, 1065, 1183, 81, 1092, 95, 1377, 3395, 1308, 74, 1242, 1779, 8352, 1009, 9499, 1054, 24110, 3342, 21, 6201, 1164, 23678, 1242, 1984, 1005, 2182, 1009, 9499, 1054, 3811, 1199, 23678, 1242, 3295, 1005, 3404, 1009, 9499, 1054, 19882, 1007, 11632, 2536, 1869, 85, 7705, 1114, 3289, 4109, 1308, 74, 1242, 3939, 1005, 2595, 1009, 9499, 1054, 14063, 1797, 3932, 9161, 1009, 15789, 4242, 1029, 1253, 1071, 5008, 1104, 19, 1208, 1029, 8905, 3395, 1308, 9299, 1083, 1009, 9499, 1072, 7026, 1049, 1842, 1046, 20897, 11632, 17, 1869, 85, 7705, 1006, 3289, 4109, 1308, 9299, 1782, 1009, 9499, 32, 29206, 7971, 1049, 15789, 4242, 1029, 1253, 6458, 5, 9299, 2224, 1009, 9499, 8785, 15789, 4242, 1029, 1253, 1009, 18198, 6053, 1034, 1054, 6458, 2663, 8560, 1941, 14424, 8228, 1076, 1106, 24860, 1685, 1308, 9299, 2523, 1009, 9499, 1138, 51, 4242, 1029, 1253, 18500, 1179, 3340, 1204, 11154, 5, 9299, 2322, 1009, 9499, 29206, 7971, 15789, 4242, 1029, 1253, 21245, 3811, 1199, 28972, 1009, 3422, 10777, 6074, 6898, 1239, 32, 15789, 4242, 1029, 1253, 2536, 3777, 3155, 5180, 24718, 1009, 9843, 1054, 19882, 1007, 11632, 17, 1869, 85, 7705, 1114, 1094, 2051, 12760, 1015, 2958, 1308, 9299, 1158, 1009, 9499, 15789, 4242, 1029, 1253, 1054, 19882, 1007, 17483, 1263, 156, 1416, 75, 1479, 4316, 1128, 2970, 25374, 1308, 3640, 4242, 1029, 1253, 2536, 1941, 1165, 1925, 1071, 2219, 1053, 7300, 1050, 1585, 1145, 1009, 7120, 26161, 15, 2536, 5306, 12488, 1479, 24441, 1006, 1664, 1463, 22515, 89, 1049, 4288, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 1185, 13554, 9299, 3186, 1009, 9499, 1054, 19882, 1007, 1797, 3393, 1009, 4499, 19632, 3777, 1041, 2325, 1071, 18619, 3677, 9776, 6426, 18286, 2325, 11022, 1802, 1491, 1308, 3430, 1009, 9499, 1054, 6458, 1467, 17065, 1463, 25224, 1005, 2512, 2555, 19521, 2536, 6275, 23, 13019, 15681, 9460, 24941, 5, 5622, 80, 73, 19, 1736, 1153, 20, 23617, 4177, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 6221, 3989, 7558, 1776, 1043, 3365, 4676, 23513, 1157, 1496, 14639, 1319, 15270, 11080, 1930, 5, 1226, 1025, 1577, 675, 1127, 2527, 1014, 1196, 5759, 1319, 2505, 1183, 5, 1295, 1116, 12931, 6925, 8828, 5735, 71, 1025, 1577, 1009, 1013, 3208, 14937, 5604, 1319, 22812, 1065, 7104, 1048, 1116, 1119, 1333, 1833, 1012, 1081, 14639, 1198, 1319, 2803, 2153, 1157, 22474, 12892, 1187, 1607, 1229, 5, 1045, 2505, 1183, 1058, 1325, 1821, 1434, 1077, 1155, 22812, 1065, 1183, 10948, 1663, 15270, 11080, 1930, 29384, 4786, 7116, 5759, 1026, 2505, 7104, 5, 1295, 1096, 1006, 1224, 6925, 8828, 1533, 4786, 8643, 14937, 5604, 1026, 22812, 1065, 7104, 3219, 5653, 3005, 1511, 1821, 2602, 1124, 20769, 5, 85, 2505, 1183, 1325, 1006, 13275, 1371, 1213, 22812, 1065, 1183, 23151, 10243, 11104, 1049, 15270, 11080, 1930, 5, 19273, 2123, 4828, 26585, 2821, 89, 2186, 2505, 7104, 5, 20759, 2628, 1504, 16371, 8828, 5846, 1075, 3812, 1208, 675, 8153, 26585, 1015, 6426, 3063, 1127, 1018, 22812, 1065, 7104, 13009, 3482, 1100, 5067, 7995, 28732, 2186, 1030, 15962, 26585, 89, 1030, 1185, 3930, 1870, 5, 19273, 2505, 1183, 1504, 7995, 28732, 2604, 2186, 22812, 1065, 1183, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 6221, 7157, 7558, 1776, 1043, 3365, 4676, 1797, 30451, 15789, 4242, 1029, 1253, 2536, 14734, 1053, 12222, 1009, 29710, 2536, 5306, 12488, 1152, 14615, 1076, 4746, 3186, 1009, 9499, 1152, 1204, 11154, 1152, 19882, 1007, 1797, 1154, 15789, 4242, 1029, 1253, 2536, 14734, 1053, 12222, 1009, 29710, 2536, 5306, 12488, 3404, 1009, 8814, 1204, 11154, 15601, 6170, 10514, 31562, 21, 11052, 83, 19191, 21, 1684, 1421, 1014, 1213, 4831, 1468, 2252, 1124, 10731, 1887, 1060, 3028, 5370, 1009, 1062, 1154, 15789, 4242, 1029, 1253, 1187, 4679, 1307, 7, 3008, 3369, 32, 5033, 1163, 11206, 4420, 20877, 1101, 2250, 4496, 32, 3295, 1005, 3404, 1009, 9499, 7595, 1127, 1508, 1072, 1592, 17111, 1044, 11670, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 14424, 7, 2034, 10928, 1826, 13519, 25386, 19702, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 1422, 28373, 7727, 1776, 1043, 3365, 4676, 1797, 30451, 15789, 4242, 1029, 1253, 1213, 1238, 4458, 1114, 19120, 1271, 1535, 8833, 1005, 16779, 2215, 1018, 29406, 8392, 1152, 3186, 8814, 1152, 1204, 11154, 12852, 10976, 4746, 3186, 1009, 8814, 1726, 1204, 11154, 3008, 3369, 32, 1776, 20560, 1060, 19120, 1271, 1535, 8833, 31504, 18188, 28749, 15, 4054, 9083, 30625, 7334, 1060, 20195, 1020, 14379, 1377, 1587, 6160, 1371, 5291, 3994, 1049, 9254, 1184, 1109, 94, 1714, 1049, 28565, 1060, 3583, 1049, 8703, 2098, 13210, 1112, 2330, 1410, 1497, 32, 2561, 29150, 1094, 28727, 1140, 1009, 24815, 1206, 5621, 5017, 1068, 1058, 1786, 3890, 1005, 19883, 1184, 10238, 14858, 4685, 1190, 1018, 2561, 16241, 1044, 5399, 24245, 20, 1844, 5562, 29, 4406, 4754, 19194, 17, 16555, 32, 14796, 1104, 19, 1208, 1029, 8905, 23443, 1005, 14796, 1065, 1183, 81, 1092, 95, 1377, 23443, 1797, 30451, 15789, 4242, 1029, 1253, 2536, 3777, 3155, 1009, 5180, 24718, 1009, 9843, 1152, 2128, 3422, 10777, 6074, 6898, 1239, 1726, 1204, 11154, 1152, 19882, 1007, 1797, 1154, 15789, 4242, 1029, 1253, 2536, 3777, 3155, 1009, 5180, 24718, 1009, 9843, 2128, 1009, 9499, 1726, 1204, 11154, 19882, 1007, 2503, 12920, 2128, 1009, 9499, 1071, 21687, 6898, 1239, 15, 1726, 1204, 46, 2721, 1467, 22379, 8094, 12066, 1528, 1126, 9216, 11632, 2814, 18101, 1006, 12868, 1009, 1424, 2005, 1333, 1009, 19882, 1007, 1308, 11977, 1061, 1041, 20716, 2613, 6009, 2975, 7595, 16634, 12102, 3151, 1009, 1138, 51, 4242, 1029, 1253, 1005, 5945, 1018, 1017, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 1185, 13554, 17, 1869, 8866, 10736, 1104, 19, 1208, 1029, 8905, 23443, 1005, 10736, 1065, 1183, 81, 1092, 95, 1377, 23443, 1797, 3393, 1009, 2505, 1183, 1344, 1092, 5785, 1152, 3811, 1199, 1152, 1984, 1005, 2182, 1009, 9499, 1152, 7515, 9037, 13519, 2503, 1889, 32, 1984, 1005, 2182, 3422, 10777, 4127, 3996, 85, 1170, 32, 28309, 1726, 2128, 11154, 3008, 3369, 32, 2505, 1045, 3448, 1060, 21357, 1056, 80, 13924, 2135, 1142, 19564, 3726, 10664, 1375, 32, 10736, 1065, 1183, 81, 1092, 95, 1377, 23443, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 8267, 5963, 7558, 1776, 1043, 3365, 4676, 1797, 1130, 6463, 15789, 4242, 1029, 1253, 1152, 19120, 6898, 1239, 3939, 8814, 1152, 1204, 11154, 1152, 1632, 1370, 1009, 1594, 3025, 1175, 9140, 1009, 1142, 2622, 1093, 1605, 4819, 21486, 1009, 1783, 1048, 1048, 2644, 11860, 1068, 1006, 5042, 20, 2013, 1557, 1009, 5587, 1800, 9473, 1049, 2930, 4957, 5109, 1005, 1009, 1026, 1386, 7997, 1800, 1043, 1026, 4819, 1533, 6713, 1236, 1187, 5508, 1544, 1028, 0, 2944, 1123, 10178, 1542, 1643, 1136, 5, 3851, 4700, 1175, 1559, 8360, 1175, 1632, 1370, 1009, 1594, 3025, 3996, 16680, 32, 22575, 2166, 1006, 2323, 1271, 1204, 46, 2721, 1005, 1726, 1158, 46, 1977, 1508, 1006, 9572, 3320, 1063, 1883, 21597, 1096, 2512, 1094, 1472, 28147, 1006, 7513, 6082, 4291, 4659, 1072, 15799, 1009, 7744, 5848, 17, 14652, 32, 14796, 1104, 19, 1208, 1029, 8905, 3395, 1005, 14796, 1065, 1183, 81, 1092, 95, 1377, 3395, 1797, 1154, 15789, 4242, 1029, 1253, 1152, 4789, 1231, 6898, 1239, 3734, 8814, 1152, 1204, 11154, 1152, 6458, 1175, 4316, 1009, 1941, 14424, 8228, 1076, 1106, 24860, 1685, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 8267, 2337, 7558, 1776, 1043, 3365, 4676, 1797, 1154, 15789, 4242, 1029, 1253, 1152, 2523, 8814, 1152, 1204, 16088, 1152, 1776, 11564, 75, 19154, 1054, 1983, 1052, 1133, 1175, 6458, 1152, 4354, 11212, 1040, 2815, 1322, 15789, 4242, 1029, 1253, 14768, 53, 5832, 1096, 1094, 1271, 4029, 12923, 1009, 5833, 4452, 1072, 13283, 1068, 22991, 1439, 1006, 12051, 20, 1063, 3028, 18025, 1009, 1138, 51, 4242, 1029, 1253, 29541, 1006, 6925, 1068, 1048, 4172, 28935, 23234, 1006, 2323, 1049, 13218, 1068, 1026, 1784, 9757, 30701, 21203, 1187, 1062, 3932, 9161, 1009, 1138, 51, 4242, 1029, 4566, 1094, 3271, 1298, 23571, 31805, 1964, 1026, 5832, 20, 1138, 5832, 27025, 5035, 2328, 1049, 2058, 1048, 1026, 1138, 51, 2817, 20, 4083, 1062, 3932, 9161, 1009, 1138, 51, 4242, 1029, 4566, 1132, 7287, 1650, 7651, 5925, 2426, 1060, 16606, 1271, 14688, 1060, 29724, 1048, 1058, 1195, 1598, 6058, 1356, 5832, 31786, 1054, 2739, 10034, 2855, 1175, 2613, 24860, 8193, 1106, 11235, 14806, 2503, 12920, 4789, 1231, 6898, 2469, 2523, 1009, 8814, 1726, 1204, 16088, 3008, 3369, 32, 11564, 75, 19154, 1175, 1983, 1052, 1133, 1175, 6458, 3141, 2634, 8110, 3381, 11815, 2988, 1133, 11587, 20893, 1101, 11632, 56, 2783, 27769, 1009, 18823, 10282, 1054, 3349, 1679, 19958, 58, 1005, 23585, 1009, 25749, 23342, 1085, 5382, 1896, 32, 1307, 2830, 1206, 1307, 2944, 2555, 1731, 14873, 1068, 23867, 2713, 40, 4186, 39, 10004, 28110, 1068, 3291, 4972, 1322, 1159, 4537, 1213, 2386, 32, 1844, 5562, 5205, 4368, 7777, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 15182, 2830, 7727, 1776, 1043, 3365, 4676, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 6221, 4406, 7558, 1776, 1043, 3365, 4676, 1797, 3393, 1009, 2505, 1183, 1344, 1092, 5785, 1152, 19882, 1007, 1152, 3186, 20159, 1009, 9499, 1152, 7515, 9037, 13519, 2503, 1889, 32, 3186, 19, 3404, 9499, 1100, 4127, 5, 2337, 1009, 9499, 21245, 20159, 78, 2663, 1014, 1053, 12222, 1009, 1134, 17635, 15789, 4242, 1029, 1253, 2536, 5306, 1310, 1273, 6888, 1006, 1664, 5, 2708, 1005, 3404, 9499, 28309, 15084, 11154, 32, 1062, 6742, 85, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 1185, 1126, 7515, 4952, 3072, 1602, 8772, 3008, 3369, 32, 1764, 3381, 1271, 1142, 2961, 1016, 4139, 1747, 1163, 11206, 4420, 15, 1175, 19882, 1007, 1605, 5997, 1231, 14951, 1094, 4506, 18300, 1138, 12459, 2823, 1096, 1026, 12459, 12901, 14375, 12459, 2823, 1096, 1026, 12459, 12901, 7, 25630, 1231, 14951, 1094, 4506, 1416, 1005, 4327, 1048, 2572, 1493, 5848, 5056, 8507, 1416, 17903, 1189, 16180, 1221, 1175, 4506, 1416, 1043, 5726, 26938, 1292, 1088, 1391, 1005, 1009, 12209, 1194, 10313, 2274, 11864, 1005, 10712, 1059, 4681, 8507, 1416, 25388, 1233, 4986, 2885, 1175, 4506, 1416, 10239, 1140, 1726, 14205, 4109, 1271, 3880, 1273, 1138, 7628, 6420, 6129, 1066, 4452, 4986, 2885, 1005, 10761, 14205, 1049, 2930, 2823, 24654, 8436, 1075, 1508, 4805, 12162, 1005, 12511, 1059, 5463, 8507, 1416, 5798, 1012, 3691, 1175, 4506, 1416, 1068, 4373, 1732, 1006, 2323, 1009, 1083, 3681, 1175, 3629, 1463, 1502, 3589, 2776, 1100, 3412, 1047, 4376, 7088, 1, 24449, 1493, 1128, 8131, 20, 12383, 1927, 16801, 1235, 21897, 3699, 10182, 1026, 6465, 1027, 1516, 28235, 8342, 5024, 21897, 1927, 3765, 1025, 3841, 1962, 5806, 1309, 1998, 3004, 1264, 6303, 1460, 8607, 8228, 1418, 1054, 1235, 2153, 18, 1159, 3819, 2143, 2792, 2093, 1418, 20, 3316, 30972, 7, 1, 4049, 1418, 6276, 3215, 1154, 1118, 3445, 1406, 1919, 1128, 3465, 23026, 1082, 1239, 1322, 25351, 31757, 1175, 10923, 7447, 13222, 1175, 25715, 3546, 1005, 1134, 1508, 1010, 2555, 3465, 23026, 1082, 1239, 1005, 25351, 31757, 1596, 8312, 1233, 6392, 1009, 4711, 1009, 2951, 3811, 1049, 9843, 8, 2332, 18300, 10974, 11134, 2135, 45, 2843, 85, 26582, 1009, 7377, 4213, 1005, 21390, 1005, 9221, 1005, 9768, 3097, 1734, 14960, 4078, 1518 ]

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

[ 1046, 20897, 1009, 3032, 4127, 6285, 1060, 3619, 1024, 30613, 1531, 1083, 1009, 9499, 1726, 20925, 11207, 3366, 9606, 4524, 2730, 6502, 1009, 1842, 1046, 20897, 2342, 1672, 1048, 24758, 1026, 2311, 1046, 20897, 5970, 1005, 1026, 4208, 10828, 94, 1046, 20897, 2730, 1998, 4241, 1068, 1094, 1150, 3047, 2985, 73, 1979, 1406, 3748, 15368, 1365, 1132, 11429, 1116, 1252, 19433, 1049, 13171, 1005, 1049, 22852, 18, 1305, 11506, 1114, 8498, 1684, 1193, 1034, 1187, 11872, 1049, 4995, 1005, 3048, 1114, 3112, 2983, 24117, 1009, 2653, 7328, 3399, 23251, 3812, 32, 13019, 15681, 9460, 1799, 10997, 5, 17, 14652, 32, 14796, 1104, 19, 1208, 1029, 8905, 3395, 1005, 14796, 18027, 1035, 94, 1046, 20897, 2592, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 21171, 2704, 7558, 1776, 1043, 3365, 4676, 28705, 3787, 1009, 9499, 32, 15789, 2536, 1941, 1165, 1925, 2536, 2505, 1183, 1344, 1092, 5785, 2536, 5306, 12488, 1797, 9170, 5410, 6856, 1006, 3028, 13976, 1049, 3681, 1009, 9499, 1533, 77, 3787, 3681, 1009, 9499, 32, 15789, 4242, 1029, 1253, 2536, 1941, 1165, 9709, 2536, 2505, 1183, 1344, 1092, 5785, 2536, 5306, 12488, 1863, 6493, 2324, 1179, 25201, 11469, 2250, 1307, 1006, 1779, 1009, 9499, 1054, 3492, 11243, 2929, 1095, 1107, 1144, 1061, 1730, 1126, 11608, 3933, 26021, 4149, 11632, 17, 1869, 85, 7705, 1114, 3289, 4109, 11781, 7094, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 14424, 1071, 5008, 1065, 1183, 81, 1092, 95, 1377, 3395, 1308, 74, 1242, 1779, 8352, 1009, 9499, 1054, 24110, 3342, 21, 6201, 1164, 23678, 1242, 1984, 1005, 2182, 1009, 9499, 1054, 3811, 1199, 23678, 1242, 3295, 1005, 3404, 1009, 9499, 1054, 19882, 1007, 11632, 2536, 1869, 85, 7705, 1114, 3289, 4109, 1308, 74, 1242, 3939, 1005, 2595, 1009, 9499, 1054, 14063, 1797, 3932, 9161, 1009, 15789, 4242, 1029, 1253, 1071, 5008, 1104, 19, 1208, 1029, 8905, 3395, 1308, 9299, 1083, 1009, 9499, 1072, 7026, 1049, 1842, 1046, 20897, 11632, 17, 1869, 85, 7705, 1006, 3289, 4109, 1308, 9299, 1782, 1009, 9499, 32, 29206, 7971, 1049, 15789, 4242, 1029, 1253, 6458, 5, 9299, 2224, 1009, 9499, 8785, 15789, 4242, 1029, 1253, 1009, 18198, 6053, 1034, 1054, 6458, 2663, 8560, 1941, 14424, 8228, 1076, 1106, 24860, 1685, 1308, 9299, 2523, 1009, 9499, 1138, 51, 4242, 1029, 1253, 18500, 1179, 3340, 1204, 11154, 5, 9299, 2322, 1009, 9499, 29206, 7971, 15789, 4242, 1029, 1253, 21245, 3811, 1199, 28972, 1009, 3422, 10777, 6074, 6898, 1239, 32, 15789, 4242, 1029, 1253, 2536, 3777, 3155, 5180, 24718, 1009, 9843, 1054, 19882, 1007, 11632, 17, 1869, 85, 7705, 1114, 1094, 2051, 12760, 1015, 2958, 1308, 9299, 1158, 1009, 9499, 15789, 4242, 1029, 1253, 1054, 19882, 1007, 17483, 1263, 156, 1416, 75, 1479, 4316, 1128, 2970, 25374, 1308, 3640, 4242, 1029, 1253, 2536, 1941, 1165, 1925, 1071, 2219, 1053, 7300, 1050, 1585, 1145, 1009, 7120, 26161, 15, 2536, 5306, 12488, 1479, 24441, 1006, 1664, 1463, 22515, 89, 1049, 4288, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 1185, 13554, 9299, 3186, 1009, 9499, 1054, 19882, 1007, 1797, 3393, 1009, 4499, 19632, 3777, 1041, 2325, 1071, 18619, 3677, 9776, 6426, 18286, 2325, 11022, 1802, 1491, 1308, 3430, 1009, 9499, 1054, 6458, 1467, 17065, 1463, 25224, 1005, 2512, 2555, 19521, 2536, 6275, 23, 13019, 15681, 9460, 24941, 5, 5622, 80, 73, 19, 1736, 1153, 20, 23617, 4177, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 6221, 3989, 7558, 1776, 1043, 3365, 4676, 23513, 1157, 1496, 14639, 1319, 15270, 11080, 1930, 5, 1226, 1025, 1577, 675, 1127, 2527, 1014, 1196, 5759, 1319, 2505, 1183, 5, 1295, 1116, 12931, 6925, 8828, 5735, 71, 1025, 1577, 1009, 1013, 3208, 14937, 5604, 1319, 22812, 1065, 7104, 1048, 1116, 1119, 1333, 1833, 1012, 1081, 14639, 1198, 1319, 2803, 2153, 1157, 22474, 12892, 1187, 1607, 1229, 5, 1045, 2505, 1183, 1058, 1325, 1821, 1434, 1077, 1155, 22812, 1065, 1183, 10948, 1663, 15270, 11080, 1930, 29384, 4786, 7116, 5759, 1026, 2505, 7104, 5, 1295, 1096, 1006, 1224, 6925, 8828, 1533, 4786, 8643, 14937, 5604, 1026, 22812, 1065, 7104, 3219, 5653, 3005, 1511, 1821, 2602, 1124, 20769, 5, 85, 2505, 1183, 1325, 1006, 13275, 1371, 1213, 22812, 1065, 1183, 23151, 10243, 11104, 1049, 15270, 11080, 1930, 5, 19273, 2123, 4828, 26585, 2821, 89, 2186, 2505, 7104, 5, 20759, 2628, 1504, 16371, 8828, 5846, 1075, 3812, 1208, 675, 8153, 26585, 1015, 6426, 3063, 1127, 1018, 22812, 1065, 7104, 13009, 3482, 1100, 5067, 7995, 28732, 2186, 1030, 15962, 26585, 89, 1030, 1185, 3930, 1870, 5, 19273, 2505, 1183, 1504, 7995, 28732, 2604, 2186, 22812, 1065, 1183, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 6221, 7157, 7558, 1776, 1043, 3365, 4676, 1797, 30451, 15789, 4242, 1029, 1253, 2536, 14734, 1053, 12222, 1009, 29710, 2536, 5306, 12488, 1152, 14615, 1076, 4746, 3186, 1009, 9499, 1152, 1204, 11154, 1152, 19882, 1007, 1797, 1154, 15789, 4242, 1029, 1253, 2536, 14734, 1053, 12222, 1009, 29710, 2536, 5306, 12488, 3404, 1009, 8814, 1204, 11154, 15601, 6170, 10514, 31562, 21, 11052, 83, 19191, 21, 1684, 1421, 1014, 1213, 4831, 1468, 2252, 1124, 10731, 1887, 1060, 3028, 5370, 1009, 1062, 1154, 15789, 4242, 1029, 1253, 1187, 4679, 1307, 7, 3008, 3369, 32, 5033, 1163, 11206, 4420, 20877, 1101, 2250, 4496, 32, 3295, 1005, 3404, 1009, 9499, 7595, 1127, 1508, 1072, 1592, 17111, 1044, 11670, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 14424, 7, 2034, 10928, 1826, 13519, 25386, 19702, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 1422, 28373, 7727, 1776, 1043, 3365, 4676, 1797, 30451, 15789, 4242, 1029, 1253, 1213, 1238, 4458, 1114, 19120, 1271, 1535, 8833, 1005, 16779, 2215, 1018, 29406, 8392, 1152, 3186, 8814, 1152, 1204, 11154, 12852, 10976, 4746, 3186, 1009, 8814, 1726, 1204, 11154, 3008, 3369, 32, 1776, 20560, 1060, 19120, 1271, 1535, 8833, 31504, 18188, 28749, 15, 4054, 9083, 30625, 7334, 1060, 20195, 1020, 14379, 1377, 1587, 6160, 1371, 5291, 3994, 1049, 9254, 1184, 1109, 94, 1714, 1049, 28565, 1060, 3583, 1049, 8703, 2098, 13210, 1112, 2330, 1410, 1497, 32, 2561, 29150, 1094, 28727, 1140, 1009, 24815, 1206, 5621, 5017, 1068, 1058, 1786, 3890, 1005, 19883, 1184, 10238, 14858, 4685, 1190, 1018, 2561, 16241, 1044, 5399, 24245, 20, 1844, 5562, 29, 4406, 4754, 19194, 17, 16555, 32, 14796, 1104, 19, 1208, 1029, 8905, 23443, 1005, 14796, 1065, 1183, 81, 1092, 95, 1377, 23443, 1797, 30451, 15789, 4242, 1029, 1253, 2536, 3777, 3155, 1009, 5180, 24718, 1009, 9843, 1152, 2128, 3422, 10777, 6074, 6898, 1239, 1726, 1204, 11154, 1152, 19882, 1007, 1797, 1154, 15789, 4242, 1029, 1253, 2536, 3777, 3155, 1009, 5180, 24718, 1009, 9843, 2128, 1009, 9499, 1726, 1204, 11154, 19882, 1007, 2503, 12920, 2128, 1009, 9499, 1071, 21687, 6898, 1239, 15, 1726, 1204, 46, 2721, 1467, 22379, 8094, 12066, 1528, 1126, 9216, 11632, 2814, 18101, 1006, 12868, 1009, 1424, 2005, 1333, 1009, 19882, 1007, 1308, 11977, 1061, 1041, 20716, 2613, 6009, 2975, 7595, 16634, 12102, 3151, 1009, 1138, 51, 4242, 1029, 1253, 1005, 5945, 1018, 1017, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 1185, 13554, 17, 1869, 8866, 10736, 1104, 19, 1208, 1029, 8905, 23443, 1005, 10736, 1065, 1183, 81, 1092, 95, 1377, 23443, 1797, 3393, 1009, 2505, 1183, 1344, 1092, 5785, 1152, 3811, 1199, 1152, 1984, 1005, 2182, 1009, 9499, 1152, 7515, 9037, 13519, 2503, 1889, 32, 1984, 1005, 2182, 3422, 10777, 4127, 3996, 85, 1170, 32, 28309, 1726, 2128, 11154, 3008, 3369, 32, 2505, 1045, 3448, 1060, 21357, 1056, 80, 13924, 2135, 1142, 19564, 3726, 10664, 1375, 32, 10736, 1065, 1183, 81, 1092, 95, 1377, 23443, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 8267, 5963, 7558, 1776, 1043, 3365, 4676, 1797, 1130, 6463, 15789, 4242, 1029, 1253, 1152, 19120, 6898, 1239, 3939, 8814, 1152, 1204, 11154, 1152, 1632, 1370, 1009, 1594, 3025, 1175, 9140, 1009, 1142, 2622, 1093, 1605, 4819, 21486, 1009, 1783, 1048, 1048, 2644, 11860, 1068, 1006, 5042, 20, 2013, 1557, 1009, 5587, 1800, 9473, 1049, 2930, 4957, 5109, 1005, 1009, 1026, 1386, 7997, 1800, 1043, 1026, 4819, 1533, 6713, 1236, 1187, 5508, 1544, 1028, 0, 2944, 1123, 10178, 1542, 1643, 1136, 5, 3851, 4700, 1175, 1559, 8360, 1175, 1632, 1370, 1009, 1594, 3025, 3996, 16680, 32, 22575, 2166, 1006, 2323, 1271, 1204, 46, 2721, 1005, 1726, 1158, 46, 1977, 1508, 1006, 9572, 3320, 1063, 1883, 21597, 1096, 2512, 1094, 1472, 28147, 1006, 7513, 6082, 4291, 4659, 1072, 15799, 1009, 7744, 5848, 17, 14652, 32, 14796, 1104, 19, 1208, 1029, 8905, 3395, 1005, 14796, 1065, 1183, 81, 1092, 95, 1377, 3395, 1797, 1154, 15789, 4242, 1029, 1253, 1152, 4789, 1231, 6898, 1239, 3734, 8814, 1152, 1204, 11154, 1152, 6458, 1175, 4316, 1009, 1941, 14424, 8228, 1076, 1106, 24860, 1685, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 8267, 2337, 7558, 1776, 1043, 3365, 4676, 1797, 1154, 15789, 4242, 1029, 1253, 1152, 2523, 8814, 1152, 1204, 16088, 1152, 1776, 11564, 75, 19154, 1054, 1983, 1052, 1133, 1175, 6458, 1152, 4354, 11212, 1040, 2815, 1322, 15789, 4242, 1029, 1253, 14768, 53, 5832, 1096, 1094, 1271, 4029, 12923, 1009, 5833, 4452, 1072, 13283, 1068, 22991, 1439, 1006, 12051, 20, 1063, 3028, 18025, 1009, 1138, 51, 4242, 1029, 1253, 29541, 1006, 6925, 1068, 1048, 4172, 28935, 23234, 1006, 2323, 1049, 13218, 1068, 1026, 1784, 9757, 30701, 21203, 1187, 1062, 3932, 9161, 1009, 1138, 51, 4242, 1029, 4566, 1094, 3271, 1298, 23571, 31805, 1964, 1026, 5832, 20, 1138, 5832, 27025, 5035, 2328, 1049, 2058, 1048, 1026, 1138, 51, 2817, 20, 4083, 1062, 3932, 9161, 1009, 1138, 51, 4242, 1029, 4566, 1132, 7287, 1650, 7651, 5925, 2426, 1060, 16606, 1271, 14688, 1060, 29724, 1048, 1058, 1195, 1598, 6058, 1356, 5832, 31786, 1054, 2739, 10034, 2855, 1175, 2613, 24860, 8193, 1106, 11235, 14806, 2503, 12920, 4789, 1231, 6898, 2469, 2523, 1009, 8814, 1726, 1204, 16088, 3008, 3369, 32, 11564, 75, 19154, 1175, 1983, 1052, 1133, 1175, 6458, 3141, 2634, 8110, 3381, 11815, 2988, 1133, 11587, 20893, 1101, 11632, 56, 2783, 27769, 1009, 18823, 10282, 1054, 3349, 1679, 19958, 58, 1005, 23585, 1009, 25749, 23342, 1085, 5382, 1896, 32, 1307, 2830, 1206, 1307, 2944, 2555, 1731, 14873, 1068, 23867, 2713, 40, 4186, 39, 10004, 28110, 1068, 3291, 4972, 1322, 1159, 4537, 1213, 2386, 32, 1844, 5562, 5205, 4368, 7777, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 15182, 2830, 7727, 1776, 1043, 3365, 4676, 26634, 5067, 2613, 6009, 78, 3236, 4243, 22679, 1173, 6221, 4406, 7558, 1776, 1043, 3365, 4676, 1797, 3393, 1009, 2505, 1183, 1344, 1092, 5785, 1152, 19882, 1007, 1152, 3186, 20159, 1009, 9499, 1152, 7515, 9037, 13519, 2503, 1889, 32, 3186, 19, 3404, 9499, 1100, 4127, 5, 2337, 1009, 9499, 21245, 20159, 78, 2663, 1014, 1053, 12222, 1009, 1134, 17635, 15789, 4242, 1029, 1253, 2536, 5306, 1310, 1273, 6888, 1006, 1664, 5, 2708, 1005, 3404, 9499, 28309, 15084, 11154, 32, 1062, 6742, 85, 1009, 2505, 1183, 1344, 1092, 5785, 1941, 1185, 1126, 7515, 4952, 3072, 1602, 8772, 3008, 3369, 32, 1764, 3381, 1271, 1142, 2961, 1016, 4139, 1747, 1163, 11206, 4420, 15, 1175, 19882, 1007, 1605, 5997, 1231, 14951, 1094, 4506, 18300, 1138, 12459, 2823, 1096, 1026, 12459, 12901, 14375, 12459, 2823, 1096, 1026, 12459, 12901, 7, 25630, 1231, 14951, 1094, 4506, 1416, 1005, 4327, 1048, 2572, 1493, 5848, 5056, 8507, 1416, 17903, 1189, 16180, 1221, 1175, 4506, 1416, 1043, 5726, 26938, 1292, 1088, 1391, 1005, 1009, 12209, 1194, 10313, 2274, 11864, 1005, 10712, 1059, 4681, 8507, 1416, 25388, 1233, 4986, 2885, 1175, 4506, 1416, 10239, 1140, 1726, 14205, 4109, 1271, 3880, 1273, 1138, 7628, 6420, 6129, 1066, 4452, 4986, 2885, 1005, 10761, 14205, 1049, 2930, 2823, 24654, 8436, 1075, 1508, 4805, 12162, 1005, 12511, 1059, 5463, 8507, 1416, 5798, 1012, 3691, 1175, 4506, 1416, 1068, 4373, 1732, 1006, 2323, 1009, 1083, 3681, 1175, 3629, 1463, 1502, 3589, 2776, 1100, 3412, 1047, 4376, 7088, 1, 24449, 1493, 1128, 8131, 20, 12383, 1927, 16801, 1235, 21897, 3699, 10182, 1026, 6465, 1027, 1516, 28235, 8342, 5024, 21897, 1927, 3765, 1025, 3841, 1962, 5806, 1309, 1998, 3004, 1264, 6303, 1460, 8607, 8228, 1418, 1054, 1235, 2153, 18, 1159, 3819, 2143, 2792, 2093, 1418, 20, 3316, 30972, 7, 1, 4049, 1418, 6276, 3215, 1154, 1118, 3445, 1406, 1919, 1128, 3465, 23026, 1082, 1239, 1322, 25351, 31757, 1175, 10923, 7447, 13222, 1175, 25715, 3546, 1005, 1134, 1508, 1010, 2555, 3465, 23026, 1082, 1239, 1005, 25351, 31757, 1596, 8312, 1233, 6392, 1009, 4711, 1009, 2951, 3811, 1049, 9843, 8, 2332, 18300, 10974, 11134, 2135, 45, 2843, 85, 26582, 1009, 7377, 4213, 1005, 21390, 1005, 9221, 1005, 9768, 3097, 1734, 14960, 4078, 1518 ]

[ 1006, 13774, 1009, 16646, 1187, 19831, 1480, 1049, 7674, 1049, 1561, 2663, 31877, 1349, 1325, 3552, 4087, 9466, 1493, 19228, 1054, 4461, 1009, 1240, 21037, 1765, 1078, 92, 1272, 1005, 3971, 1009, 14159, 6818, 1704, 21361, 3858, 7674, 1049, 3878, 19837, 1048, 1006, 12467, 79, 1325, 1114, 1240, 1021, 1272, 1009, 12716, 11061, 1060, 7680, 6822, 2535, 1006, 4087, 1160, 2374, 9359, 1236, 6776, 3240, 7217, 5576, 1068, 30105, 10268, 1060, 1062, 1466, 1377, 9184, 16134, 1006, 5576, 1049, 1106, 9484, 12413, 4465, 1060, 12236, 1009, 13054, 6044, 1005, 8451, 2585, 1048, 4291, 4537, 1006, 1495, 2182, 16785, 1533, 14345, 1006, 12236, 1009, 1664, 1132, 6044, 1096, 1009, 1307, 11, 1322, 1026, 10511, 13517, 1100, 1184, 1094, 12236, 6373, 7615, 1896, 8, 1009, 27206, 1071, 1318, 1322, 1132, 1963, 5454, 1048, 1195, 16134, 7889, 1068, 10760, 1114, 9273, 1049, 5370, 22047, 1565, 5841, 12236, 3225, 10357, 9395, 1096, 14779, 1118, 1752, 12652, 12027, 1009, 1261, 1206, 1160, 26980, 18998, 3995, 1550, 11370, 1909, 1005, 5089, 1495, 2978, 1646, 1565, 2013, 1006, 3806, 12236, 16358, 5954, 1206, 4473, 2306, 6698, 8435, 14779, 8435, 2170, 2306, 1160, 1225, 5467, 4837, 14779, 1118, 2306, 1225, 6383, 3982, 1006, 5576, 1049, 4919, 3426, 1058, 4254, 2166, 11042, 150, 1044, 4465, 1048, 1298, 4537, 1006, 1495, 2182, 16785, 2247, 1049, 1048, 3904, 1847, 15872, 23350, 1058, 8316, 1800, 1006, 12236, 22443, 1009, 1307, 11, 1187, 13503, 20, 1138, 7674, 17195, 4531, 24135, 1006, 12236, 24295, 1009, 1083, 8401, 14487, 1989, 20366, 1043, 1132, 1734, 1307, 11, 2170, 2247, 2668, 1548, 2707, 1130, 1043, 1006, 12236, 16358, 5954, 1009, 2596, 1048, 1752, 24078, 24864, 1006, 1261, 1044, 6072, 8671, 1068, 1026, 4100, 23697, 1063, 8135, 17195, 3559, 1130, 21394, 1036, 1754, 1006, 1023, 2993, 7431, 1112, 1187, 10945, 1054, 10330, 9305, 15455, 2891, 1922, 1654, 14975, 0, 15, 2858, 12652, 1060, 13977, 1048, 1225, 1101, 26980, 1005, 6706, 10511, 29407, 1009, 2824, 7819, 25302, 9949, 2533, 1126, 23350, 2931, 4159, 1009, 2824, 1984, 12687, 20, 1424, 1006, 9738, 1060, 5576, 1049, 4919, 3426, 24864, 1006, 6622, 2824, 9018, 18, 1254, 10357, 11, 1184, 2824, 1782, 2414, 3665, 1118, 5467, 3017, 15801, 1006, 1799, 11, 1049, 10511, 1349, 13083, 1044, 4465, 1009, 2182, 16785, 1276, 24, 0, 15, 2858, 29256, 1048, 6706, 2824, 10723, 9238, 18, 1254, 1005, 1225, 8584, 5467, 3017, 3004, 14779, 2824, 3295, 2639, 17630, 5576, 1049, 30008, 24864, 1006, 6622, 2824, 1675, 9949, 1254, 10357, 11, 1184, 2824, 8111, 2471, 14392, 1118, 5467, 3017, 15801, 1006, 1799, 25072, 4465, 1009, 31422, 10390, 1603, 7243, 1800, 1114, 2612, 1026, 4465, 1114, 1023, 2993, 7431, 2094, 2653, 10945, 6622, 1027, 1495, 15269, 1009, 1235, 10511, 13906, 3136, 1054, 3819, 2803, 1026, 7674, 17195, 5319, 1006, 1224, 12236, 1068, 1026, 23606, 1048, 2199, 1461, 1054, 6936, 7089, 1322, 1006, 10954, 1009, 5496, 7297, 1718, 1188, 1048, 1026, 7674, 1049, 1561, 3904, 18, 1213, 2729, 1187, 2864, 1752, 1472, 1184, 4619, 1141, 12286, 1371, 1060, 1224, 6443, 1068, 1043, 1006, 12467, 1803, 17871, 1157, 1068, 1132, 1456, 6044, 1005, 8451, 1166, 1026, 2232, 1024, 1385, 1114, 6389, 1049, 4367, 1009, 16733, 20584, 6071, 1048, 1006, 12236, 1187, 6044, 1566, 1195, 1009, 3646, 7089, 1322, 1026, 10511, 20, 11026, 1566, 9606, 24279, 1068, 1495, 1799, 11, 1704, 7674, 1049, 1561, 1225, 1006, 17688, 1009, 3647, 1026, 4367, 1009, 2926, 1009, 1456, 27311, 1566, 1048, 1006, 9705, 1233, 12467, 79, 1927, 1195, 1240, 2442, 1356, 7674, 1006, 1664, 1132, 1456, 27311, 3360, 1048, 1026, 7674, 1927, 9415, 1054, 17982, 1009, 7927, 2999, 1026, 5883, 1009, 2926, 1159, 1044, 1187, 6641, 1048, 28926, 1026, 5453, 1009, 2011, 25660, 25129, 1026, 7674, 1160, 27926, 1305, 1006, 8571, 2027, 1187, 27311, 5319, 1026, 20366, 2736, 1905, 1187, 1456, 6044, 2018, 3647, 1006, 12467, 1803, 2340, 1616, 2821, 1461, 10996, 1821, 24041, 1669, 1175, 1005, 30502, 1175, 1049, 5453, 1009, 6730, 1026, 1048, 1096, 24454, 1069, 1357, 11434, 58, 1071, 26960, 1422, 7795, 1175, 4083, 12211, 10010, 1009, 2011, 1998, 1096, 1064, 1300, 1497, 1006, 10996, 1271, 22156, 4034, 1118, 25713, 85, 15712, 4140, 1005, 1620, 1992, 2271, 1048, 1160, 2136, 3982, 10603, 1206, 14338, 90, 3240, 23387, 1213, 5435, 1599, 1288, 5865, 1009, 1028, 1075, 1149, 1060, 20170, 1869, 2107, 1091, 2429, 2728, 2275, 7199, 89, 6264, 4560, 2370, 1357, 18823, 54, 2053, 18, 1048, 16483, 1040, 1026, 26714, 1009, 6322, 1102, 1068, 7072, 1009, 2926, 1009, 1456, 6044, 1175, 1026, 1048, 3904, 1847, 3701, 1069, 1356, 4235, 1068, 1160, 5319, 1224, 12236, 1068, 1006, 12467, 79, 1175, 1160, 31837, 3997, 9270, 3607, 1009, 1871, 1048, 3592, 6264, 1160, 1693, 1178, 21915, 1463, 4034, 1187, 9227, 6044, 1005, 3112, 3426, 1680, 1992, 1159, 1068, 1132, 1566, 8451, 1166, 1533, 2778, 27467, 6892, 1043, 2089, 9488, 2821, 3795, 1187, 6044, 1005, 8451, 1166, 1049, 7674, 3106, 11722, 40, 9484, 7680, 5881, 9484, 14569, 5881, 16822, 19321, 1717, 2099, 2442, 1213, 4919, 3426, 1054, 1048, 1160, 1837, 10784, 9729, 1114, 12236, 1187, 6044, 1005, 8451, 2585, 1309, 1006, 2921, 16752, 1009, 6118, 1100, 5560, 9934, 5780, 1356, 4919, 3426, 1048, 2572, 25253, 1006, 1224, 5576, 1006, 2073, 3156, 1667, 7496, 4473, 1837, 3225, 1311, 6572, 1122, 1272, 1049, 7674, 5645, 6714, 3482, 1819, 4682, 4352, 1508, 1132, 6044, 1005, 8451, 1166, 1049, 7674, 1049, 1561, 1006, 2835, 1076, 1656, 15132, 1233, 5576, 1049, 7674, 1049, 3878, 1005, 8290, 5567, 20270, 2535, 1026, 7674, 30693, 17584, 1821, 24041, 4893, 1048, 7725, 16004, 1009, 2073, 1871, 1026, 5883, 1060, 12467, 3158, 1, 8722, 1005, 3648, 77, 1017, 9229, 1153, 20579, 1213, 10548, 6954, 19256, 7723, 1054, 11621, 1060, 12313, 3336, 19507, 16371, 1143, 1816, 1253, 26585, 89, 11115, 5848, 16, 6771, 1305, 5115, 11186, 1009, 1043, 1026, 4299, 1049, 6191, 6954, 19256, 21398, 1060, 3688, 30206, 1988, 18, 1048, 5249, 1079, 1009, 14561, 1006, 1764, 2434, 1072, 1901, 4995, 1005, 2569, 17129, 9345, 5414, 1620, 3057, 4183, 1132, 9372, 8722, 1005, 3648, 77, 1017, 9229, 12433, 1026, 11836, 14028, 1060, 3688, 1048, 1620, 4292, 1305, 1132, 13732, 1773, 1248, 2225, 5783, 1058, 19321, 3057, 1852, 1009, 3757, 1072, 11621, 27377, 1163, 1170, 12235, 17969, 4247, 1095, 1253, 4161, 1704, 17872, 1927, 18094, 1048, 6944, 1132, 1158, 1646, 6762, 14780, 15, 1049, 28973, 3077, 1187, 21524, 1325, 1311, 4703, 1810, 2307, 11962, 1100, 1054, 1456, 9417, 4686, 1009, 9178, 3482, 2334, 1026, 4299, 5090, 1043, 6954, 19256, 1678, 9631, 7798, 3769, 1252, 21398, 1159, 1072, 5804, 3812, 19286, 2936, 4795, 77, 1017, 3815, 1153, 12688, 3815, 1153, 21797, 89, 11575, 1988, 5, 643, 4523, 1153, 1023, 1078, 1054, 1044, 8667, 159, 30252, 12187, 1128, 5921, 15747, 1005, 20150, 1205, 1227, 1081, 2832, 1046, 8312, 1054, 11621, 4, 53, 49, 1941, 2164, 29670, 20, 23295, 1046, 1124, 5938, 1220, 30434, 1049, 14645, 1208, 10788, 1049, 3077, 6944, 9064, 20, 21015, 1096, 27851, 2737, 1014, 1049, 7598, 1593, 1081, 14238, 5261, 1048, 3904, 12674, 1, 28803, 30601, 1017, 1158, 18189, 96, 4648, 1269, 1081, 3663, 25, 1551, 5495, 29370, 1972, 7987, 1551, 20267, 2227, 1551, 28618, 1416, 30812, 19, 4050, 1269, 1081, 22993, 9949, 5796, 5151, 1017, 1158, 18189, 96, 4648, 1269, 1081, 3663, 25, 1551, 5495, 29370, 1972, 7987, 1551, 20267, 2227, 1551, 28618, 1416, 30812, 19, 4050, 1269, 1081, 22993, 1254, 15508, 5740, 12192, 76, 4469, 5157, 76, 2795, 9428, 8018, 5151, 1017, 1158, 18189, 96, 6532, 1269, 1081, 3663, 25, 1009, 13051, 1068, 2700, 1009, 9762, 1009, 7200, 1416, 23494, 19, 4050, 1269, 1081, 22993, 1254, 12852, 1120, 1149, 1009, 14832, 30059, 1391, 1422, 1008, 19673, 1206, 1675, 86, 19673, 1797, 1241, 1139, 1041, 2027, 12540, 27, 1175, 12505, 27, 1028, 76, 29384, 22267, 2547, 3298, 1009, 13853, 23494, 3498, 6720, 1068, 6769, 1009, 1638, 1196, 1009, 16320, 6532, 1269, 1081, 22267, 29370, 10603, 1068, 1006, 15548, 1342, 6532, 1269, 1081, 6185, 53, 5997, 1197, 7871, 1184, 2504, 1229, 3450, 17387, 1140, 1005, 2161, 4260, 2098, 24802, 2252, 1124, 5767, 1327, 3606, 5613, 5767, 1327, 6626, 1009, 5850, 24983, 1054, 5684, 1009, 13304, 1680, 4513, 2585, 3510, 1166, 1005, 2555, 13232, 1054, 1044, 3563, 26527, 1356, 8393, 2301, 10359, 18615, 18708, 7169, 2276, 18359, 14163, 1188, 1005, 3108, 1069, 1009, 2017, 1068, 1797, 18457, 1026, 4818, 1048, 4727, 1145, 1006, 1751, 1026, 1040, 2875, 1417, 31631, 1006, 2921, 10695, 1048, 1026, 1026, 3982, 1206, 4473, 2125, 1646, 1009, 13051, 3964, 3482, 31339, 1250, 24853, 1006, 5681, 5503, 1713, 1009, 2922, 1068, 4537, 2453, 1009, 2125, 1646, 1049, 12054, 14419, 1005, 2177, 24794, 2547, 2876, 17689, 1472, 15, 9390, 5151, 1017, 23494, 3498, 6853, 1009, 13051, 1068, 2550, 4648, 1269, 3529, 1068, 2490, 1043, 6769, 1009, 1638, 1196, 1158, 18189, 96, 24464, 30817, 1654, 1009, 6059, 16441, 1005, 5850, 1009, 16652, 17209, 28058, 10283, 3316, 1472, 3510, 2585, 1132, 1624, 26056, 1327, 14163, 1402, 1996, 1049, 4902, 1005, 13734, 16610, 2034, 6847, 1187, 5850, 22586, 1279, 85, 1045, 1575, 11565, 1693, 5525, 1043, 1026, 1557, 1005, 71, 4018, 1627, 2276, 1044, 2574, 1009, 1557, 1114, 17669, 1239, 1996, 1049, 4902, 6879, 1945, 4577, 1160, 5219, 10749, 23636, 1044, 1006, 1044, 1068, 3871, 1048, 1752, 4818, 1049, 1624, 18884, 2374, 7640, 12559, 1043, 3593, 8202, 1213, 28858, 1298, 1178, 3778, 1054, 1094, 8962, 11818, 1009, 14922, 1043, 4680, 1834, 1005, 3596, 26298, 3812, 19286, 9230, 2856, 30601, 1017, 23494, 3498, 6853, 5180, 18884, 23494, 3498, 6853, 30601, 1017, 1158, 18189, 96, 6532, 1269, 1081, 3663, 25, 1009, 13051, 13758, 2245, 2856, 3125, 30601, 1017, 1158, 18189, 96, 6532, 1269, 1081, 3663, 25, 1009, 13051, 1068, 2700, 1009, 9762, 1009, 7200, 1416, 23494, 19, 4050, 1269, 1081, 22993, 1254, 1, 9716, 3295, 1566, 1225, 3164, 1009, 4711, 1005, 1831, 22239, 3996, 95, 16024, 1252, 1129, 18377, 1899, 2196, 1048, 16743, 5597, 18662, 1006, 28706, 1049, 1841, 11910, 1009, 16672, 1096, 1006, 1807, 16216, 1049, 10427, 1069, 9716, 3295, 1533, 16717, 22141, 28683, 7917, 1009, 2997, 1006, 5574, 1026, 1831, 22239, 1009, 9716, 24418, 3423, 2668, 1096, 1620, 16691, 1026, 1531, 1006, 2323, 1049, 1428, 1566, 4291, 6534, 1213, 8030, 1841, 11910, 1009, 28802, 1603, 1096, 11680, 3019, 8939, 1298, 18899, 1024, 1114, 13976, 1026, 1083, 1009, 12020, 3164, 1054, 1048, 1006, 3069, 1184, 6907, 7032, 1213, 14903, 2605, 4548, 2739, 1184, 13357, 1068, 5574, 26440, 1620, 32, 1073, 2164, 6391, 1298, 1178, 13266, 1068, 6534, 16314, 1318, 18283, 1048, 9716, 3295, 4597, 8982, 1463, 5766, 1016, 15741, 7583, 15741, 6936, 16263, 15255, 1067, 21, 16348, 16263, 10227, 1005, 7822, 20, 3423, 1928, 1100, 1026, 1807, 6522, 1068, 1068, 1006, 10018, 16024, 1252, 1129, 18377, 1899, 3965, 3316, 16216, 1048, 16743, 1094, 3513, 1009, 2666, 1493, 1184, 4958, 1060, 6386, 1005, 3822, 1240, 1248, 8659, 2013, 2637, 5447, 1043, 2068, 1114, 11957, 1699, 2123, 5725, 8905, 5139, 1096, 1094, 4639, 1048, 1613, 1076, 7328, 1009, 4731, 7284, 1009, 3756, 1006, 2837, 3540, 1184, 2733, 1573, 1072, 2666, 7811, 2192, 6749, 1049, 9716, 3295, 1318, 2612, 1043, 13357, 1605, 17056, 6749, 1318, 2612, 1043, 13357, 20, 1138, 1082, 1902, 1868, 2515, 5103, 1006, 6242, 1043, 1006, 4169, 4638, 1044, 5259, 1802, 1505, 1224, 5326, 1026, 13867, 13450, 1225, 1006, 28706, 17235, 6360, 3567, 1138, 9716, 27162, 13826, 89, 24864, 1006, 1261, 4913, 168, 3150, 11149, 1620, 13357, 1054, 2869, 1233, 1871, 1159, 1132, 9515, 19, 1878, 1018, 1666, 10353, 9716, 18068, 1048, 2612, 1043, 1344, 4307, 1423, 1082, 72, 6575, 158, 1114, 1613, 1126, 5544, 16235, 1184, 13357, 1213, 2729, 1187, 7024, 16787, 1, 4501, 3246, 1726, 5634, 1273, 7764, 1090, 1145, 1106, 14437, 1404, 1005, 11272, 2403, 1009, 25823, 29094, 30900, 21446, 9469, 6803, 1060, 3546, 21216, 3246, 1726, 5634, 1273, 7764, 1090, 1145, 1106, 14437, 1404, 1005, 11272, 2403, 1009, 25823, 29094, 30900, 21446, 3576, 3083, 58, 2713, 27862, 16549, 49, 21, 7638, 21606, 10279, 53, 1005, 7915, 3642, 53, 5703, 58, 14527, 4812, 5356, 45, 8562, 2555, 7589, 3811, 76, 1396, 1114, 2573, 1049, 1106, 14437, 1404, 1005, 25823, 29094, 30900, 21446, 1054, 1063, 15501, 1061, 1526, 1049, 1796, 4171, 32, 13847, 1060, 7764, 3004, 18999, 11427, 9074, 1054, 3295, 14243, 9699, 1175, 1487, 78, 4673, 5640, 3145, 18207, 11027, 9870, 1569, 24874, 14396, 3068, 4886, 18999, 1349, 1309, 1305, 8090, 1060, 7764, 1114, 3546, 8522, 20, 1063, 11010, 24191, 1118, 22074, 1026, 2738, 1187, 20007, 13631, 1072, 2191, 1009, 3757, 1068, 3417, 1124, 9297, 28389, 1072, 1067, 1266, 7638, 1005, 1072, 11472, 79, 1281, 20, 1424, 3005, 1026, 1106, 14437, 1404, 4597, 9178, 1712, 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 ]

[ 1006, 13774, 1009, 16646, 1187, 19831, 1480, 1049, 7674, 1049, 1561, 2663, 31877, 1349, 1325, 3552, 4087, 9466, 1493, 19228, 1054, 4461, 1009, 1240, 21037, 1765, 1078, 92, 1272, 1005, 3971, 1009, 14159, 6818, 1704, 21361, 3858, 7674, 1049, 3878, 19837, 1048, 1006, 12467, 79, 1325, 1114, 1240, 1021, 1272, 1009, 12716, 11061, 1060, 7680, 6822, 2535, 1006, 4087, 1160, 2374, 9359, 1236, 6776, 3240, 7217, 5576, 1068, 30105, 10268, 1060, 1062, 1466, 1377, 9184, 16134, 1006, 5576, 1049, 1106, 9484, 12413, 4465, 1060, 12236, 1009, 13054, 6044, 1005, 8451, 2585, 1048, 4291, 4537, 1006, 1495, 2182, 16785, 1533, 14345, 1006, 12236, 1009, 1664, 1132, 6044, 1096, 1009, 1307, 11, 1322, 1026, 10511, 13517, 1100, 1184, 1094, 12236, 6373, 7615, 1896, 8, 1009, 27206, 1071, 1318, 1322, 1132, 1963, 5454, 1048, 1195, 16134, 7889, 1068, 10760, 1114, 9273, 1049, 5370, 22047, 1565, 5841, 12236, 3225, 10357, 9395, 1096, 14779, 1118, 1752, 12652, 12027, 1009, 1261, 1206, 1160, 26980, 18998, 3995, 1550, 11370, 1909, 1005, 5089, 1495, 2978, 1646, 1565, 2013, 1006, 3806, 12236, 16358, 5954, 1206, 4473, 2306, 6698, 8435, 14779, 8435, 2170, 2306, 1160, 1225, 5467, 4837, 14779, 1118, 2306, 1225, 6383, 3982, 1006, 5576, 1049, 4919, 3426, 1058, 4254, 2166, 11042, 150, 1044, 4465, 1048, 1298, 4537, 1006, 1495, 2182, 16785, 2247, 1049, 1048, 3904, 1847, 15872, 23350, 1058, 8316, 1800, 1006, 12236, 22443, 1009, 1307, 11, 1187, 13503, 20, 1138, 7674, 17195, 4531, 24135, 1006, 12236, 24295, 1009, 1083, 8401, 14487, 1989, 20366, 1043, 1132, 1734, 1307, 11, 2170, 2247, 2668, 1548, 2707, 1130, 1043, 1006, 12236, 16358, 5954, 1009, 2596, 1048, 1752, 24078, 24864, 1006, 1261, 1044, 6072, 8671, 1068, 1026, 4100, 23697, 1063, 8135, 17195, 3559, 1130, 21394, 1036, 1754, 1006, 1023, 2993, 7431, 1112, 1187, 10945, 1054, 10330, 9305, 15455, 2891, 1922, 1654, 14975, 0, 15, 2858, 12652, 1060, 13977, 1048, 1225, 1101, 26980, 1005, 6706, 10511, 29407, 1009, 2824, 7819, 25302, 9949, 2533, 1126, 23350, 2931, 4159, 1009, 2824, 1984, 12687, 20, 1424, 1006, 9738, 1060, 5576, 1049, 4919, 3426, 24864, 1006, 6622, 2824, 9018, 18, 1254, 10357, 11, 1184, 2824, 1782, 2414, 3665, 1118, 5467, 3017, 15801, 1006, 1799, 11, 1049, 10511, 1349, 13083, 1044, 4465, 1009, 2182, 16785, 1276, 24, 0, 15, 2858, 29256, 1048, 6706, 2824, 10723, 9238, 18, 1254, 1005, 1225, 8584, 5467, 3017, 3004, 14779, 2824, 3295, 2639, 17630, 5576, 1049, 30008, 24864, 1006, 6622, 2824, 1675, 9949, 1254, 10357, 11, 1184, 2824, 8111, 2471, 14392, 1118, 5467, 3017, 15801, 1006, 1799, 25072, 4465, 1009, 31422, 10390, 1603, 7243, 1800, 1114, 2612, 1026, 4465, 1114, 1023, 2993, 7431, 2094, 2653, 10945, 6622, 1027, 1495, 15269, 1009, 1235, 10511, 13906, 3136, 1054, 3819, 2803, 1026, 7674, 17195, 5319, 1006, 1224, 12236, 1068, 1026, 23606, 1048, 2199, 1461, 1054, 6936, 7089, 1322, 1006, 10954, 1009, 5496, 7297, 1718, 1188, 1048, 1026, 7674, 1049, 1561, 3904, 18, 1213, 2729, 1187, 2864, 1752, 1472, 1184, 4619, 1141, 12286, 1371, 1060, 1224, 6443, 1068, 1043, 1006, 12467, 1803, 17871, 1157, 1068, 1132, 1456, 6044, 1005, 8451, 1166, 1026, 2232, 1024, 1385, 1114, 6389, 1049, 4367, 1009, 16733, 20584, 6071, 1048, 1006, 12236, 1187, 6044, 1566, 1195, 1009, 3646, 7089, 1322, 1026, 10511, 20, 11026, 1566, 9606, 24279, 1068, 1495, 1799, 11, 1704, 7674, 1049, 1561, 1225, 1006, 17688, 1009, 3647, 1026, 4367, 1009, 2926, 1009, 1456, 27311, 1566, 1048, 1006, 9705, 1233, 12467, 79, 1927, 1195, 1240, 2442, 1356, 7674, 1006, 1664, 1132, 1456, 27311, 3360, 1048, 1026, 7674, 1927, 9415, 1054, 17982, 1009, 7927, 2999, 1026, 5883, 1009, 2926, 1159, 1044, 1187, 6641, 1048, 28926, 1026, 5453, 1009, 2011, 25660, 25129, 1026, 7674, 1160, 27926, 1305, 1006, 8571, 2027, 1187, 27311, 5319, 1026, 20366, 2736, 1905, 1187, 1456, 6044, 2018, 3647, 1006, 12467, 1803, 2340, 1616, 2821, 1461, 10996, 1821, 24041, 1669, 1175, 1005, 30502, 1175, 1049, 5453, 1009, 6730, 1026, 1048, 1096, 24454, 1069, 1357, 11434, 58, 1071, 26960, 1422, 7795, 1175, 4083, 12211, 10010, 1009, 2011, 1998, 1096, 1064, 1300, 1497, 1006, 10996, 1271, 22156, 4034, 1118, 25713, 85, 15712, 4140, 1005, 1620, 1992, 2271, 1048, 1160, 2136, 3982, 10603, 1206, 14338, 90, 3240, 23387, 1213, 5435, 1599, 1288, 5865, 1009, 1028, 1075, 1149, 1060, 20170, 1869, 2107, 1091, 2429, 2728, 2275, 7199, 89, 6264, 4560, 2370, 1357, 18823, 54, 2053, 18, 1048, 16483, 1040, 1026, 26714, 1009, 6322, 1102, 1068, 7072, 1009, 2926, 1009, 1456, 6044, 1175, 1026, 1048, 3904, 1847, 3701, 1069, 1356, 4235, 1068, 1160, 5319, 1224, 12236, 1068, 1006, 12467, 79, 1175, 1160, 31837, 3997, 9270, 3607, 1009, 1871, 1048, 3592, 6264, 1160, 1693, 1178, 21915, 1463, 4034, 1187, 9227, 6044, 1005, 3112, 3426, 1680, 1992, 1159, 1068, 1132, 1566, 8451, 1166, 1533, 2778, 27467, 6892, 1043, 2089, 9488, 2821, 3795, 1187, 6044, 1005, 8451, 1166, 1049, 7674, 3106, 11722, 40, 9484, 7680, 5881, 9484, 14569, 5881, 16822, 19321, 1717, 2099, 2442, 1213, 4919, 3426, 1054, 1048, 1160, 1837, 10784, 9729, 1114, 12236, 1187, 6044, 1005, 8451, 2585, 1309, 1006, 2921, 16752, 1009, 6118, 1100, 5560, 9934, 5780, 1356, 4919, 3426, 1048, 2572, 25253, 1006, 1224, 5576, 1006, 2073, 3156, 1667, 7496, 4473, 1837, 3225, 1311, 6572, 1122, 1272, 1049, 7674, 5645, 6714, 3482, 1819, 4682, 4352, 1508, 1132, 6044, 1005, 8451, 1166, 1049, 7674, 1049, 1561, 1006, 2835, 1076, 1656, 15132, 1233, 5576, 1049, 7674, 1049, 3878, 1005, 8290, 5567, 20270, 2535, 1026, 7674, 30693, 17584, 1821, 24041, 4893, 1048, 7725, 16004, 1009, 2073, 1871, 1026, 5883, 1060, 12467, 3158, 1, 8722, 1005, 3648, 77, 1017, 9229, 1153, 20579, 1213, 10548, 6954, 19256, 7723, 1054, 11621, 1060, 12313, 3336, 19507, 16371, 1143, 1816, 1253, 26585, 89, 11115, 5848, 16, 6771, 1305, 5115, 11186, 1009, 1043, 1026, 4299, 1049, 6191, 6954, 19256, 21398, 1060, 3688, 30206, 1988, 18, 1048, 5249, 1079, 1009, 14561, 1006, 1764, 2434, 1072, 1901, 4995, 1005, 2569, 17129, 9345, 5414, 1620, 3057, 4183, 1132, 9372, 8722, 1005, 3648, 77, 1017, 9229, 12433, 1026, 11836, 14028, 1060, 3688, 1048, 1620, 4292, 1305, 1132, 13732, 1773, 1248, 2225, 5783, 1058, 19321, 3057, 1852, 1009, 3757, 1072, 11621, 27377, 1163, 1170, 12235, 17969, 4247, 1095, 1253, 4161, 1704, 17872, 1927, 18094, 1048, 6944, 1132, 1158, 1646, 6762, 14780, 15, 1049, 28973, 3077, 1187, 21524, 1325, 1311, 4703, 1810, 2307, 11962, 1100, 1054, 1456, 9417, 4686, 1009, 9178, 3482, 2334, 1026, 4299, 5090, 1043, 6954, 19256, 1678, 9631, 7798, 3769, 1252, 21398, 1159, 1072, 5804, 3812, 19286, 2936, 4795, 77, 1017, 3815, 1153, 12688, 3815, 1153, 21797, 89, 11575, 1988, 5, 643, 4523, 1153, 1023, 1078, 1054, 1044, 8667, 159, 30252, 12187, 1128, 5921, 15747, 1005, 20150, 1205, 1227, 1081, 2832, 1046, 8312, 1054, 11621, 4, 53, 49, 1941, 2164, 29670, 20, 23295, 1046, 1124, 5938, 1220, 30434, 1049, 14645, 1208, 10788, 1049, 3077, 6944, 9064, 20, 21015, 1096, 27851, 2737, 1014, 1049, 7598, 1593, 1081, 14238, 5261, 1048, 3904, 12674, 1, 28803, 30601, 1017, 1158, 18189, 96, 4648, 1269, 1081, 3663, 25, 1551, 5495, 29370, 1972, 7987, 1551, 20267, 2227, 1551, 28618, 1416, 30812, 19, 4050, 1269, 1081, 22993, 9949, 5796, 5151, 1017, 1158, 18189, 96, 4648, 1269, 1081, 3663, 25, 1551, 5495, 29370, 1972, 7987, 1551, 20267, 2227, 1551, 28618, 1416, 30812, 19, 4050, 1269, 1081, 22993, 1254, 15508, 5740, 12192, 76, 4469, 5157, 76, 2795, 9428, 8018, 5151, 1017, 1158, 18189, 96, 6532, 1269, 1081, 3663, 25, 1009, 13051, 1068, 2700, 1009, 9762, 1009, 7200, 1416, 23494, 19, 4050, 1269, 1081, 22993, 1254, 12852, 1120, 1149, 1009, 14832, 30059, 1391, 1422, 1008, 19673, 1206, 1675, 86, 19673, 1797, 1241, 1139, 1041, 2027, 12540, 27, 1175, 12505, 27, 1028, 76, 29384, 22267, 2547, 3298, 1009, 13853, 23494, 3498, 6720, 1068, 6769, 1009, 1638, 1196, 1009, 16320, 6532, 1269, 1081, 22267, 29370, 10603, 1068, 1006, 15548, 1342, 6532, 1269, 1081, 6185, 53, 5997, 1197, 7871, 1184, 2504, 1229, 3450, 17387, 1140, 1005, 2161, 4260, 2098, 24802, 2252, 1124, 5767, 1327, 3606, 5613, 5767, 1327, 6626, 1009, 5850, 24983, 1054, 5684, 1009, 13304, 1680, 4513, 2585, 3510, 1166, 1005, 2555, 13232, 1054, 1044, 3563, 26527, 1356, 8393, 2301, 10359, 18615, 18708, 7169, 2276, 18359, 14163, 1188, 1005, 3108, 1069, 1009, 2017, 1068, 1797, 18457, 1026, 4818, 1048, 4727, 1145, 1006, 1751, 1026, 1040, 2875, 1417, 31631, 1006, 2921, 10695, 1048, 1026, 1026, 3982, 1206, 4473, 2125, 1646, 1009, 13051, 3964, 3482, 31339, 1250, 24853, 1006, 5681, 5503, 1713, 1009, 2922, 1068, 4537, 2453, 1009, 2125, 1646, 1049, 12054, 14419, 1005, 2177, 24794, 2547, 2876, 17689, 1472, 15, 9390, 5151, 1017, 23494, 3498, 6853, 1009, 13051, 1068, 2550, 4648, 1269, 3529, 1068, 2490, 1043, 6769, 1009, 1638, 1196, 1158, 18189, 96, 24464, 30817, 1654, 1009, 6059, 16441, 1005, 5850, 1009, 16652, 17209, 28058, 10283, 3316, 1472, 3510, 2585, 1132, 1624, 26056, 1327, 14163, 1402, 1996, 1049, 4902, 1005, 13734, 16610, 2034, 6847, 1187, 5850, 22586, 1279, 85, 1045, 1575, 11565, 1693, 5525, 1043, 1026, 1557, 1005, 71, 4018, 1627, 2276, 1044, 2574, 1009, 1557, 1114, 17669, 1239, 1996, 1049, 4902, 6879, 1945, 4577, 1160, 5219, 10749, 23636, 1044, 1006, 1044, 1068, 3871, 1048, 1752, 4818, 1049, 1624, 18884, 2374, 7640, 12559, 1043, 3593, 8202, 1213, 28858, 1298, 1178, 3778, 1054, 1094, 8962, 11818, 1009, 14922, 1043, 4680, 1834, 1005, 3596, 26298, 3812, 19286, 9230, 2856, 30601, 1017, 23494, 3498, 6853, 5180, 18884, 23494, 3498, 6853, 30601, 1017, 1158, 18189, 96, 6532, 1269, 1081, 3663, 25, 1009, 13051, 13758, 2245, 2856, 3125, 30601, 1017, 1158, 18189, 96, 6532, 1269, 1081, 3663, 25, 1009, 13051, 1068, 2700, 1009, 9762, 1009, 7200, 1416, 23494, 19, 4050, 1269, 1081, 22993, 1254, 1, 9716, 3295, 1566, 1225, 3164, 1009, 4711, 1005, 1831, 22239, 3996, 95, 16024, 1252, 1129, 18377, 1899, 2196, 1048, 16743, 5597, 18662, 1006, 28706, 1049, 1841, 11910, 1009, 16672, 1096, 1006, 1807, 16216, 1049, 10427, 1069, 9716, 3295, 1533, 16717, 22141, 28683, 7917, 1009, 2997, 1006, 5574, 1026, 1831, 22239, 1009, 9716, 24418, 3423, 2668, 1096, 1620, 16691, 1026, 1531, 1006, 2323, 1049, 1428, 1566, 4291, 6534, 1213, 8030, 1841, 11910, 1009, 28802, 1603, 1096, 11680, 3019, 8939, 1298, 18899, 1024, 1114, 13976, 1026, 1083, 1009, 12020, 3164, 1054, 1048, 1006, 3069, 1184, 6907, 7032, 1213, 14903, 2605, 4548, 2739, 1184, 13357, 1068, 5574, 26440, 1620, 32, 1073, 2164, 6391, 1298, 1178, 13266, 1068, 6534, 16314, 1318, 18283, 1048, 9716, 3295, 4597, 8982, 1463, 5766, 1016, 15741, 7583, 15741, 6936, 16263, 15255, 1067, 21, 16348, 16263, 10227, 1005, 7822, 20, 3423, 1928, 1100, 1026, 1807, 6522, 1068, 1068, 1006, 10018, 16024, 1252, 1129, 18377, 1899, 3965, 3316, 16216, 1048, 16743, 1094, 3513, 1009, 2666, 1493, 1184, 4958, 1060, 6386, 1005, 3822, 1240, 1248, 8659, 2013, 2637, 5447, 1043, 2068, 1114, 11957, 1699, 2123, 5725, 8905, 5139, 1096, 1094, 4639, 1048, 1613, 1076, 7328, 1009, 4731, 7284, 1009, 3756, 1006, 2837, 3540, 1184, 2733, 1573, 1072, 2666, 7811, 2192, 6749, 1049, 9716, 3295, 1318, 2612, 1043, 13357, 1605, 17056, 6749, 1318, 2612, 1043, 13357, 20, 1138, 1082, 1902, 1868, 2515, 5103, 1006, 6242, 1043, 1006, 4169, 4638, 1044, 5259, 1802, 1505, 1224, 5326, 1026, 13867, 13450, 1225, 1006, 28706, 17235, 6360, 3567, 1138, 9716, 27162, 13826, 89, 24864, 1006, 1261, 4913, 168, 3150, 11149, 1620, 13357, 1054, 2869, 1233, 1871, 1159, 1132, 9515, 19, 1878, 1018, 1666, 10353, 9716, 18068, 1048, 2612, 1043, 1344, 4307, 1423, 1082, 72, 6575, 158, 1114, 1613, 1126, 5544, 16235, 1184, 13357, 1213, 2729, 1187, 7024, 16787, 1, 4501, 3246, 1726, 5634, 1273, 7764, 1090, 1145, 1106, 14437, 1404, 1005, 11272, 2403, 1009, 25823, 29094, 30900, 21446, 9469, 6803, 1060, 3546, 21216, 3246, 1726, 5634, 1273, 7764, 1090, 1145, 1106, 14437, 1404, 1005, 11272, 2403, 1009, 25823, 29094, 30900, 21446, 3576, 3083, 58, 2713, 27862, 16549, 49, 21, 7638, 21606, 10279, 53, 1005, 7915, 3642, 53, 5703, 58, 14527, 4812, 5356, 45, 8562, 2555, 7589, 3811, 76, 1396, 1114, 2573, 1049, 1106, 14437, 1404, 1005, 25823, 29094, 30900, 21446, 1054, 1063, 15501, 1061, 1526, 1049, 1796, 4171, 32, 13847, 1060, 7764, 3004, 18999, 11427, 9074, 1054, 3295, 14243, 9699, 1175, 1487, 78, 4673, 5640, 3145, 18207, 11027, 9870, 1569, 24874, 14396, 3068, 4886, 18999, 1349, 1309, 1305, 8090, 1060, 7764, 1114, 3546, 8522, 20, 1063, 11010, 24191, 1118, 22074, 1026, 2738, 1187, 20007, 13631, 1072, 2191, 1009, 3757, 1068, 3417, 1124, 9297, 28389, 1072, 1067, 1266, 7638, 1005, 1072, 11472, 79, 1281, 20, 1424, 3005, 1026, 1106, 14437, 1404, 4597, 9178, 1712, 1005 ]

[ 23006, 13657, 1068, 1155, 8838, 1322, 1026, 10553, 1009, 1025, 3556, 1054, 5513, 19246, 1184, 3186, 10148, 19310, 14115, 4994, 1776, 5290, 1060, 2597, 22677, 18, 4988, 3429, 1648, 1026, 4758, 1009, 7147, 31747, 6912, 1312, 1837, 1044, 1901, 19246, 1184, 2322, 10148, 19310, 14098, 4059, 2013, 1026, 25259, 1137, 32, 7030, 23020, 4855, 1184, 1009, 1307, 1910, 6414, 2765, 29258, 3057, 1901, 19246, 1184, 8584, 10148, 19310, 1984, 28373, 7030, 1009, 22713, 12510, 5510, 8880, 1049, 2013, 1026, 25259, 1137, 1068, 1026, 5109, 1005, 1384, 4822, 19578, 1132, 5513, 19246, 1184, 2978, 10714, 19310, 14115, 4673, 2013, 1026, 25259, 1137, 32, 7030, 1566, 6414, 1792, 1184, 1009, 10459, 23, 1910, 5513, 19578, 19246, 1184, 2971, 10993, 19310, 14115, 2708, 14763, 1243, 4708, 6706, 1094, 18394, 1009, 1184, 1009, 5884, 2080, 1016, 19246, 1184, 1578, 10993, 19310, 14115, 3612, 8517, 4562, 18517, 1073, 4436, 32, 23939, 1888, 2643, 1495, 13984, 1068, 1058, 18855, 1072, 2868, 1060, 7030, 19246, 1184, 10923, 10993, 19310, 11425, 1404, 8517, 4562, 18517, 1073, 4436, 32, 7030, 1325, 1043, 2568, 6888, 1068, 1026, 7264, 29603, 1009, 23939, 1888, 19246, 1184, 10535, 10546, 19310, 14098, 3452, 8517, 4562, 18517, 1073, 4436, 32, 7515, 9037, 1009, 23939, 1888, 1009, 5513, 13590, 1178, 6626, 3068, 9707, 1071, 11306, 19246, 1184, 2595, 10137, 19310, 2182, 23273, 8517, 4562, 18517, 1073, 4436, 32, 7030, 1009, 22713, 12510, 8666, 1184, 1044, 17982, 1068, 23939, 1888, 1048, 7004, 1046, 4774, 29196, 19246, 1184, 9801, 10137, 19310, 14115, 4994, 6338, 1009, 12078, 11644, 4597, 2017, 7778, 1118, 3041, 29196, 19246, 1184, 4984, 10579, 19310, 2182, 28064, 7030, 1009, 22713, 12510, 8798, 2743, 1009, 4946, 10404, 1005, 5110, 1271, 8918, 19246, 1184, 3771, 10579, 19310, 2523, 24987, 7030, 2962, 1945, 1184, 1009, 3114, 3398, 12378, 1699, 1074, 19246, 1184, 3295, 10579, 19310, 11425, 6507, 5290, 3747, 1060, 15743, 22341, 1043, 10873, 3638, 1054, 22713, 12510, 19246, 1184, 3295, 10579, 19310, 11425, 3851, 24333, 1479, 18576, 1582, 24295, 1072, 7333, 1009, 5883, 1049, 4891, 1075, 5094, 31275, 8287, 4708, 19246, 1184, 3186, 10579, 19310, 17968, 4059, 2985, 3485, 9945, 1009, 3292, 11502, 17157, 19246, 1184, 10535, 7447, 19310, 17968, 5940, 31102, 1009, 2926, 8574, 1096, 1403, 2408, 1054, 2562, 1060, 11878, 19246, 1184, 10923, 7447, 19310, 14115, 4059, 7030, 13601, 13657, 1009, 2926, 8574, 3068, 9707, 19246, 1184, 1, 1063, 7197, 1005, 30272, 8503, 1007, 7917, 1009, 9397, 1235, 11543, 1009, 29063, 2373, 60, 85, 7644, 4324, 1048, 1566, 1325, 5321, 1054, 2252, 1124, 10539, 6563, 5048, 7496, 1231, 1005, 2504, 75, 2307, 7, 4073, 3291, 1184, 1322, 1006, 14025, 1009, 12447, 1060, 25646, 1026, 6745, 12537, 5209, 2521, 1094, 6521, 1043, 8503, 1007, 1048, 7312, 1664, 1132, 4972, 7, 17698, 1026, 20533, 1009, 1224, 14382, 2688, 1596, 1124, 1124, 4514, 2862, 1161, 1005, 1511, 1299, 1058, 6321, 1114, 3560, 5923, 37, 11094, 1712, 2862, 1161, 1195, 2092, 10109, 4321, 10397, 1594, 1297, 13305, 1264, 1516, 13433, 1005, 30042, 1005, 6746, 1060, 7779, 15129, 1283, 4321, 95, 1324, 1005, 1044, 1187, 5844, 3393, 1074, 1060, 5846, 1075, 1005, 2121, 81, 10795, 1072, 6220, 2773, 1435, 1132, 10328, 9849, 1503, 25515, 1323, 15447, 1114, 3560, 5923, 1679, 2322, 1646, 1704, 1048, 10013, 1026, 11543, 2373, 60, 85, 7644, 626, 37, 6174, 8696, 1327, 1006, 1751, 2733, 1060, 8503, 2339, 1006, 1751, 8606, 1005, 14650, 1048, 1503, 4647, 1048, 7110, 1125, 1208, 11085, 1996, 1009, 5574, 1026, 8330, 1271, 23730, 1273, 1026, 11543, 2373, 60, 85, 7644, 626, 1225, 1159, 3489, 12746, 1124, 6963, 1005, 14451, 3445, 30385, 4800, 3754, 1048, 1752, 6116, 2612, 1094, 8211, 1309, 1072, 1852, 4088, 1058, 3698, 1046, 25697, 1124, 8804, 31983, 1009, 10022, 2385, 1229, 7284, 1005, 22480, 2350, 6978, 8093, 1318, 1826, 6660, 1114, 12254, 24009, 8610, 1236, 1159, 1006, 1944, 6116, 1009, 2011, 1049, 1084, 6806, 2373, 6554, 1051, 1253, 626, 7032, 20891, 1009, 1044, 4449, 23047, 1299, 16600, 2122, 19713, 1118, 1048, 1687, 4145, 20533, 1374, 12254, 37, 7496, 1006, 5342, 1195, 8853, 8772, 3900, 625, 6554, 1051, 1253, 626, 1096, 1006, 1944, 1751, 3987, 2042, 1048, 2177, 25346, 1294, 8578, 1271, 2125, 23730, 1273, 1752, 6116, 1195, 11724, 1005, 18063, 1054, 29780, 1992, 1752, 1094, 1058, 6066, 1005, 7917, 7616, 1077, 1094, 12254, 1833, 1322, 1026, 4449, 3092, 1009, 2373, 6005, 1051, 1253, 4324, 1159, 1195, 1124, 15414, 1005, 2220, 1026, 2568, 1009, 4173, 8057, 14501, 4713, 5501, 1054, 4884, 2289, 1048, 1836, 1114, 2348, 15672, 1687, 1195, 1094, 3271, 20151, 1072, 2568, 1009, 4173, 1005, 10411, 1049, 18732, 23498, 7624, 1299, 4166, 2423, 1043, 1235, 5399, 1005, 3742, 3478, 10660, 7612, 3158, 2800, 9096, 2122, 11833, 1005, 4141, 4703, 1876, 3467, 37, 21665, 11833, 2845, 1992, 1048, 3230, 1596, 11988, 1357, 10159, 24826, 1068, 4166, 1656, 6258, 1068, 1044, 2868, 1009, 3546, 3509, 5347, 1051, 2186, 12933, 1123, 6206, 1071, 28559, 1072, 1561, 1159, 2373, 3026, 1128, 2607, 1026, 1067, 1468, 626, 1565, 1482, 2574, 4248, 1006, 10159, 17256, 1026, 2930, 2011, 1005, 1294, 24689, 1006, 1261, 1026, 2930, 3266, 2868, 1009, 3546, 1114, 3836, 1049, 7247, 1026, 2373, 14154, 1108, 1909, 2475, 8226, 1138, 2868, 1009, 3546, 1060, 10159, 5404, 1847, 1044, 3189, 2072, 1807, 2464, 2574, 1846, 1060, 1944, 10946, 3230, 25901, 1054, 9345, 1005, 1058, 13522, 1068, 3056, 7546, 10599, 1318, 1096, 1023, 11806, 1280, 1009, 2088, 16002, 1048, 14888, 1046, 1357, 4583, 7, 17730, 1962, 4614, 1322, 3530, 5278, 25697, 3100, 1023, 11806, 1280, 1049, 6096, 1009, 6559, 1009, 10660, 7612, 1803, 2373, 50, 1070, 1253, 4762, 2045, 3422, 89, 2262, 4324, 1005, 1318, 1023, 3247, 1013, 1595, 1006, 2933, 74, 11302, 2373, 56, 85, 1019, 4324, 1048, 1195, 7982, 1118, 10660, 4191, 5581, 1005, 1356, 23700, 8271, 5414, 5401, 1390, 1330, 20, 1, 1138, 7856, 1049, 8449, 1049, 31599, 1009, 18076, 6495, 1026, 8449, 1049, 31599, 1009, 18076, 1416, 1225, 5726, 1005, 17874, 2733, 5430, 1680, 1159, 1006, 15313, 20898, 1525, 1049, 29887, 8341, 2985, 11831, 1006, 16570, 17254, 1049, 8449, 1049, 31599, 1009, 18076, 1416, 1068, 18883, 1006, 1058, 12228, 3482, 1081, 2705, 1043, 1044, 31599, 1009, 18076, 1416, 9083, 1044, 4918, 5244, 1930, 1005, 1124, 3469, 1826, 22224, 1009, 8845, 9493, 1323, 9781, 1089, 1159, 31599, 1009, 18076, 1416, 1054, 2092, 2776, 4075, 15652, 1044, 3563, 21865, 3482, 1081, 2705, 1054, 16154, 1044, 31599, 1009, 18076, 2001, 9083, 2464, 12027, 1060, 8161, 1048, 1299, 4359, 4492, 1299, 18501, 19478, 17136, 1533, 11874, 1009, 1044, 31599, 1009, 18076, 1416, 1357, 15667, 8995, 9083, 1048, 1299, 4597, 1048, 6622, 1094, 5405, 1048, 1057, 1321, 1076, 1054, 6622, 3482, 1081, 2705, 1043, 18076, 1416, 4215, 9083, 1048, 1299, 2155, 4937, 3144, 9528, 1114, 17265, 1294, 26933, 1006, 18076, 1416, 1096, 1184, 1044, 2863, 16074, 12261, 1100, 1455, 2214, 1085, 1100, 8161, 1006, 1178, 19583, 1206, 1702, 2446, 1009, 2863, 11864, 5653, 3018, 31818, 1043, 4805, 18076, 1416, 1096, 1493, 1455, 2214, 1085, 1100, 1048, 1325, 1493, 2247, 1271, 6106, 20887, 3901, 1048, 4548, 2739, 26984, 1242, 1005, 3171, 1114, 1834, 1206, 1072, 15334, 1060, 5297, 1048, 1058, 13291, 1040, 1072, 3152, 1049, 29887, 1348, 1005, 1395, 15792, 16084, 3482, 1081, 2705, 1048, 2155, 4937, 1930, 1309, 1160, 8691, 18076, 6495, 3048, 11991, 1079, 1006, 18076, 6495, 14937, 5604, 1048, 6736, 11991, 1079, 1006, 2373, 72, 1165, 1416, 626, 1049, 1235, 3152, 1005, 9952, 1054, 3349, 1043, 10367, 3482, 1081, 2705, 1054, 11368, 2450, 1024, 18076, 2001, 1054, 1094, 6500, 23913, 1206, 10744, 9083, 1048, 1132, 11787, 4343, 5319, 3482, 1081, 2705, 1054, 9441, 1439, 1224, 18076, 1416, 9083, 1048, 1299, 1298, 12212, 1356, 16964, 1068, 4524, 1206, 9280, 1072, 7809, 3482, 1081, 2705, 1054, 10919, 18076, 1416, 21618, 1206, 1159, 31599, 1009, 18076, 1416, 1068, 3078, 5425, 3901, 1048, 1299, 1325, 3098, 6314, 27941, 7295, 1005, 15075, 1493, 11492, 1094, 3897, 27355, 1054, 4480, 18076, 1416, 1068, 1026, 20628, 1616, 9083, 1048, 1687, 2155, 3659, 22737, 1005, 1976, 1261, 2926, 1005, 11849, 1009, 1224, 2926, 3482, 1081, 2705, 1054, 9441, 1439, 18076, 2001, 1043, 19266, 3901, 1048, 1299, 1160, 1325, 23358, 1043, 1026, 3445, 1005, 2540, 1048, 1224, 6925, 4172, 1015, 3678, 1645, 3812, 1165, 21914, 58, 6124, 1049, 4575, 7985, 1167, 18955, 1009, 7896, 12796, 3363, 1093, 7860, 2804, 3363, 1093, 4434, 17169, 7856, 1049, 8449, 1049, 2022, 1243, 2324, 4315, 7860, 23910, 4434, 17169, 7856, 1049, 8449, 1049, 2920, 3857, 1009, 15224, 5, 17198, 1025, 3626, 1155, 1135, 1064, 6817, 22963, 1560, 3151, 1187, 10110, 1009, 16224, 1072, 2823, 27943, 2613, 2037, 4579, 2523, 2613, 2037, 4579, 1605, 7856, 1049, 8449, 1060, 11454, 25124, 4510, 4075, 4579, 2523, 4510, 4075, 4579, 1759, 1081, 3899, 1043, 1026, 7856, 1187, 1449, 25657, 29275, 9195, 18, 4579, 2322, 9195, 18, 4579, 1605, 1048, 3901, 31818, 1054, 6831, 2219, 3900, 1404, 8814, 18, 6391, 1779, 3422, 10777, 6391, 1759, 1081, 3899, 1043, 1026, 7856, 1060, 10502, 11131, 13554, 30, 9195, 18, 4579, 2322, 9195, 18, 4579, 1605, 1048, 3901, 31818, 1043, 26596, 1016, 24067, 28095, 3900, 1404, 8814, 18, 6391, 1779, 3422, 10777, 6391, 28625, 1024, 1118, 13778, 90, 21638, 29384, 8620, 9061, 6831, 1005, 7156, 22730, 7515, 6837, 10669, 2230, 1471, 6498, 1121, 1734, 5513, 18524, 21694, 1049, 4575, 9295, 3008, 1065, 1223, 7860, 89, 1605, 1048, 3901, 31818, 1043, 1011, 26428, 13389, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 3901, 31818, 1043, 1026, 1968, 1020, 4470, 24835, 3900, 1404, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 3901, 31818, 1043, 26596, 1016, 13389, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 1299, 2572, 3754, 1043, 31818, 1043, 1026, 1968, 1020, 4470, 24835, 29353, 3900, 1404, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 3901, 31818, 1043, 1026, 10852, 24006, 3507, 13389, 8814, 18, 6391, 1799, 3422, 10777, 6391, 17698, 31538, 1617, 1208, 2592, 5, 1722, 1617, 1208, 2592, 1096, 1044, 2788, 1009, 2266, 1322, 27045, 1328, 1055, 1009, 26933, 1043, 1026, 3489, 1009, 12746, 1026, 9278, 1784, 30130, 1187, 2776, 14147, 14530, 3748, 7676, 1005, 13177, 5652, 1333, 1322, 10600, 1005, 27045, 1328, 1055, 1009, 26933, 1159, 1006, 5655, 1060, 7061, 17930, 1005, 1006, 11267, 1187, 10110, 1009, 2079, 4502, 1163, 2902, 20, 15685, 15054, 1255, 2583, 1187, 10110, 1049, 17824, 2079, 4502, 25999, 21699, 6352, 29058, 1058, 4327, 5902, 1663, 3469, 22480, 1026, 17824, 2079, 4502, 3684, 22341, 1026, 3435, 1049, 3366, 1118, 2191, 1060, 27045, 1328, 1055, 1009, 2776, 14147, 10634, 1132, 21044, 23060, 1616, 1009, 23564, 15616, 1049, 8222, 1137, 1009, 2079, 4502, 1163, 2902, 14398, 56, 6923, 21892, 1467, 56, 6923, 21892, 1067, 1954, 3277, 1024, 3681, 8814, 6391, 17466, 4681, 9932, 6391, 17466, 7375, 9350, 6391, 13383, 5056, 9647, 6391, 20392, 11306, 9195, 4579, 2149, 3851, 15, 9499, 4579, 23216, 4681, 8814, 4579, 1071, 4700, 15, 9932, 4579, 13383, 5056, 9350, 4579, 15497, 5463, 9647, 4579, 12726, 7362, 8819, 4579, 14256, 7375, 8108, 4579, 1071, 4700, 15, 1, 1138, 7856, 1187, 10110, 1043, 23821, 10110, 1043, 7939, 2643, 5726, 1005, 17874, 2733, 5430, 1680, 1159, 1006, 15313, 20898, 1525, 1049, 29887, 3858, 21672, 1006, 16570, 17254, 1187, 10110, 1043, 7939, 1068, 18883, 1006, 1058, 12228, 3482, 1081, 2705, 1048, 1325, 30725, 1026, 7939, 18168, 1048, 1026, 29887, 1348, 5902, 1058, 6910, 1870, 1058, 22634, 1006, 17944, 1456, 22593, 10261, 1206, 5902, 13753, 1024, 1224, 4008, 3482, 1081, 2705, 1048, 30479, 4022, 2127, 1213, 7939, 1009, 2089, 1783, 18168, 1048, 1299, 1325, 4619, 12746, 1005, 14126, 4022, 1679, 1734, 1054, 1224, 8150, 8222, 2705, 1043, 2539, 29208, 2625, 1298, 3442, 1470, 3433, 1009, 1048, 1299, 1976, 14126, 4022, 30437, 1048, 1327, 3711, 4412, 1054, 1224, 1834, 3482, 1081, 2705, 1043, 1044, 7939, 1064, 9916, 24166, 85, 1005, 20479, 9083, 1048, 1299, 1325, 1009, 2631, 10225, 1005, 1048, 1006, 1834, 1096, 5450, 1005, 5450, 3482, 1081, 2705, 1043, 4327, 7890, 1435, 1054, 1235, 7939, 9083, 1048, 1299, 1298, 1663, 3398, 5410, 6788, 1026, 7939, 1049, 1235, 8449, 1160, 1096, 1657, 5350, 2784, 1318, 1381, 1299, 1058, 4877, 9143, 1471, 1206, 1233, 29282, 27238, 1048, 1235, 2011, 1325, 10064, 7899, 1206, 1299, 5115, 150, 1044, 2011, 1048, 1026, 5928, 3039, 1231, 1005, 1058, 1863, 1130, 1076, 1043, 1264, 3482, 1081, 2705, 1043, 1044, 7939, 1642, 2037, 1206, 1044, 7939, 1043, 20266, 2317, 1654, 1030, 12649, 1005, 30594, 11321, 8896, 6058, 9083, 1048, 1299, 1298, 2593, 1054, 1168, 17654, 4659, 1054, 1094, 4087, 4417, 1005, 3659, 1413, 1660, 2270, 3735, 1132, 5162, 2643, 3530, 26933, 1857, 1318, 1693, 13279, 1048, 12716, 1027, 23676, 31749, 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 ]

[ 23006, 13657, 1068, 1155, 8838, 1322, 1026, 10553, 1009, 1025, 3556, 1054, 5513, 19246, 1184, 3186, 10148, 19310, 14115, 4994, 1776, 5290, 1060, 2597, 22677, 18, 4988, 3429, 1648, 1026, 4758, 1009, 7147, 31747, 6912, 1312, 1837, 1044, 1901, 19246, 1184, 2322, 10148, 19310, 14098, 4059, 2013, 1026, 25259, 1137, 32, 7030, 23020, 4855, 1184, 1009, 1307, 1910, 6414, 2765, 29258, 3057, 1901, 19246, 1184, 8584, 10148, 19310, 1984, 28373, 7030, 1009, 22713, 12510, 5510, 8880, 1049, 2013, 1026, 25259, 1137, 1068, 1026, 5109, 1005, 1384, 4822, 19578, 1132, 5513, 19246, 1184, 2978, 10714, 19310, 14115, 4673, 2013, 1026, 25259, 1137, 32, 7030, 1566, 6414, 1792, 1184, 1009, 10459, 23, 1910, 5513, 19578, 19246, 1184, 2971, 10993, 19310, 14115, 2708, 14763, 1243, 4708, 6706, 1094, 18394, 1009, 1184, 1009, 5884, 2080, 1016, 19246, 1184, 1578, 10993, 19310, 14115, 3612, 8517, 4562, 18517, 1073, 4436, 32, 23939, 1888, 2643, 1495, 13984, 1068, 1058, 18855, 1072, 2868, 1060, 7030, 19246, 1184, 10923, 10993, 19310, 11425, 1404, 8517, 4562, 18517, 1073, 4436, 32, 7030, 1325, 1043, 2568, 6888, 1068, 1026, 7264, 29603, 1009, 23939, 1888, 19246, 1184, 10535, 10546, 19310, 14098, 3452, 8517, 4562, 18517, 1073, 4436, 32, 7515, 9037, 1009, 23939, 1888, 1009, 5513, 13590, 1178, 6626, 3068, 9707, 1071, 11306, 19246, 1184, 2595, 10137, 19310, 2182, 23273, 8517, 4562, 18517, 1073, 4436, 32, 7030, 1009, 22713, 12510, 8666, 1184, 1044, 17982, 1068, 23939, 1888, 1048, 7004, 1046, 4774, 29196, 19246, 1184, 9801, 10137, 19310, 14115, 4994, 6338, 1009, 12078, 11644, 4597, 2017, 7778, 1118, 3041, 29196, 19246, 1184, 4984, 10579, 19310, 2182, 28064, 7030, 1009, 22713, 12510, 8798, 2743, 1009, 4946, 10404, 1005, 5110, 1271, 8918, 19246, 1184, 3771, 10579, 19310, 2523, 24987, 7030, 2962, 1945, 1184, 1009, 3114, 3398, 12378, 1699, 1074, 19246, 1184, 3295, 10579, 19310, 11425, 6507, 5290, 3747, 1060, 15743, 22341, 1043, 10873, 3638, 1054, 22713, 12510, 19246, 1184, 3295, 10579, 19310, 11425, 3851, 24333, 1479, 18576, 1582, 24295, 1072, 7333, 1009, 5883, 1049, 4891, 1075, 5094, 31275, 8287, 4708, 19246, 1184, 3186, 10579, 19310, 17968, 4059, 2985, 3485, 9945, 1009, 3292, 11502, 17157, 19246, 1184, 10535, 7447, 19310, 17968, 5940, 31102, 1009, 2926, 8574, 1096, 1403, 2408, 1054, 2562, 1060, 11878, 19246, 1184, 10923, 7447, 19310, 14115, 4059, 7030, 13601, 13657, 1009, 2926, 8574, 3068, 9707, 19246, 1184, 1, 1063, 7197, 1005, 30272, 8503, 1007, 7917, 1009, 9397, 1235, 11543, 1009, 29063, 2373, 60, 85, 7644, 4324, 1048, 1566, 1325, 5321, 1054, 2252, 1124, 10539, 6563, 5048, 7496, 1231, 1005, 2504, 75, 2307, 7, 4073, 3291, 1184, 1322, 1006, 14025, 1009, 12447, 1060, 25646, 1026, 6745, 12537, 5209, 2521, 1094, 6521, 1043, 8503, 1007, 1048, 7312, 1664, 1132, 4972, 7, 17698, 1026, 20533, 1009, 1224, 14382, 2688, 1596, 1124, 1124, 4514, 2862, 1161, 1005, 1511, 1299, 1058, 6321, 1114, 3560, 5923, 37, 11094, 1712, 2862, 1161, 1195, 2092, 10109, 4321, 10397, 1594, 1297, 13305, 1264, 1516, 13433, 1005, 30042, 1005, 6746, 1060, 7779, 15129, 1283, 4321, 95, 1324, 1005, 1044, 1187, 5844, 3393, 1074, 1060, 5846, 1075, 1005, 2121, 81, 10795, 1072, 6220, 2773, 1435, 1132, 10328, 9849, 1503, 25515, 1323, 15447, 1114, 3560, 5923, 1679, 2322, 1646, 1704, 1048, 10013, 1026, 11543, 2373, 60, 85, 7644, 626, 37, 6174, 8696, 1327, 1006, 1751, 2733, 1060, 8503, 2339, 1006, 1751, 8606, 1005, 14650, 1048, 1503, 4647, 1048, 7110, 1125, 1208, 11085, 1996, 1009, 5574, 1026, 8330, 1271, 23730, 1273, 1026, 11543, 2373, 60, 85, 7644, 626, 1225, 1159, 3489, 12746, 1124, 6963, 1005, 14451, 3445, 30385, 4800, 3754, 1048, 1752, 6116, 2612, 1094, 8211, 1309, 1072, 1852, 4088, 1058, 3698, 1046, 25697, 1124, 8804, 31983, 1009, 10022, 2385, 1229, 7284, 1005, 22480, 2350, 6978, 8093, 1318, 1826, 6660, 1114, 12254, 24009, 8610, 1236, 1159, 1006, 1944, 6116, 1009, 2011, 1049, 1084, 6806, 2373, 6554, 1051, 1253, 626, 7032, 20891, 1009, 1044, 4449, 23047, 1299, 16600, 2122, 19713, 1118, 1048, 1687, 4145, 20533, 1374, 12254, 37, 7496, 1006, 5342, 1195, 8853, 8772, 3900, 625, 6554, 1051, 1253, 626, 1096, 1006, 1944, 1751, 3987, 2042, 1048, 2177, 25346, 1294, 8578, 1271, 2125, 23730, 1273, 1752, 6116, 1195, 11724, 1005, 18063, 1054, 29780, 1992, 1752, 1094, 1058, 6066, 1005, 7917, 7616, 1077, 1094, 12254, 1833, 1322, 1026, 4449, 3092, 1009, 2373, 6005, 1051, 1253, 4324, 1159, 1195, 1124, 15414, 1005, 2220, 1026, 2568, 1009, 4173, 8057, 14501, 4713, 5501, 1054, 4884, 2289, 1048, 1836, 1114, 2348, 15672, 1687, 1195, 1094, 3271, 20151, 1072, 2568, 1009, 4173, 1005, 10411, 1049, 18732, 23498, 7624, 1299, 4166, 2423, 1043, 1235, 5399, 1005, 3742, 3478, 10660, 7612, 3158, 2800, 9096, 2122, 11833, 1005, 4141, 4703, 1876, 3467, 37, 21665, 11833, 2845, 1992, 1048, 3230, 1596, 11988, 1357, 10159, 24826, 1068, 4166, 1656, 6258, 1068, 1044, 2868, 1009, 3546, 3509, 5347, 1051, 2186, 12933, 1123, 6206, 1071, 28559, 1072, 1561, 1159, 2373, 3026, 1128, 2607, 1026, 1067, 1468, 626, 1565, 1482, 2574, 4248, 1006, 10159, 17256, 1026, 2930, 2011, 1005, 1294, 24689, 1006, 1261, 1026, 2930, 3266, 2868, 1009, 3546, 1114, 3836, 1049, 7247, 1026, 2373, 14154, 1108, 1909, 2475, 8226, 1138, 2868, 1009, 3546, 1060, 10159, 5404, 1847, 1044, 3189, 2072, 1807, 2464, 2574, 1846, 1060, 1944, 10946, 3230, 25901, 1054, 9345, 1005, 1058, 13522, 1068, 3056, 7546, 10599, 1318, 1096, 1023, 11806, 1280, 1009, 2088, 16002, 1048, 14888, 1046, 1357, 4583, 7, 17730, 1962, 4614, 1322, 3530, 5278, 25697, 3100, 1023, 11806, 1280, 1049, 6096, 1009, 6559, 1009, 10660, 7612, 1803, 2373, 50, 1070, 1253, 4762, 2045, 3422, 89, 2262, 4324, 1005, 1318, 1023, 3247, 1013, 1595, 1006, 2933, 74, 11302, 2373, 56, 85, 1019, 4324, 1048, 1195, 7982, 1118, 10660, 4191, 5581, 1005, 1356, 23700, 8271, 5414, 5401, 1390, 1330, 20, 1, 1138, 7856, 1049, 8449, 1049, 31599, 1009, 18076, 6495, 1026, 8449, 1049, 31599, 1009, 18076, 1416, 1225, 5726, 1005, 17874, 2733, 5430, 1680, 1159, 1006, 15313, 20898, 1525, 1049, 29887, 8341, 2985, 11831, 1006, 16570, 17254, 1049, 8449, 1049, 31599, 1009, 18076, 1416, 1068, 18883, 1006, 1058, 12228, 3482, 1081, 2705, 1043, 1044, 31599, 1009, 18076, 1416, 9083, 1044, 4918, 5244, 1930, 1005, 1124, 3469, 1826, 22224, 1009, 8845, 9493, 1323, 9781, 1089, 1159, 31599, 1009, 18076, 1416, 1054, 2092, 2776, 4075, 15652, 1044, 3563, 21865, 3482, 1081, 2705, 1054, 16154, 1044, 31599, 1009, 18076, 2001, 9083, 2464, 12027, 1060, 8161, 1048, 1299, 4359, 4492, 1299, 18501, 19478, 17136, 1533, 11874, 1009, 1044, 31599, 1009, 18076, 1416, 1357, 15667, 8995, 9083, 1048, 1299, 4597, 1048, 6622, 1094, 5405, 1048, 1057, 1321, 1076, 1054, 6622, 3482, 1081, 2705, 1043, 18076, 1416, 4215, 9083, 1048, 1299, 2155, 4937, 3144, 9528, 1114, 17265, 1294, 26933, 1006, 18076, 1416, 1096, 1184, 1044, 2863, 16074, 12261, 1100, 1455, 2214, 1085, 1100, 8161, 1006, 1178, 19583, 1206, 1702, 2446, 1009, 2863, 11864, 5653, 3018, 31818, 1043, 4805, 18076, 1416, 1096, 1493, 1455, 2214, 1085, 1100, 1048, 1325, 1493, 2247, 1271, 6106, 20887, 3901, 1048, 4548, 2739, 26984, 1242, 1005, 3171, 1114, 1834, 1206, 1072, 15334, 1060, 5297, 1048, 1058, 13291, 1040, 1072, 3152, 1049, 29887, 1348, 1005, 1395, 15792, 16084, 3482, 1081, 2705, 1048, 2155, 4937, 1930, 1309, 1160, 8691, 18076, 6495, 3048, 11991, 1079, 1006, 18076, 6495, 14937, 5604, 1048, 6736, 11991, 1079, 1006, 2373, 72, 1165, 1416, 626, 1049, 1235, 3152, 1005, 9952, 1054, 3349, 1043, 10367, 3482, 1081, 2705, 1054, 11368, 2450, 1024, 18076, 2001, 1054, 1094, 6500, 23913, 1206, 10744, 9083, 1048, 1132, 11787, 4343, 5319, 3482, 1081, 2705, 1054, 9441, 1439, 1224, 18076, 1416, 9083, 1048, 1299, 1298, 12212, 1356, 16964, 1068, 4524, 1206, 9280, 1072, 7809, 3482, 1081, 2705, 1054, 10919, 18076, 1416, 21618, 1206, 1159, 31599, 1009, 18076, 1416, 1068, 3078, 5425, 3901, 1048, 1299, 1325, 3098, 6314, 27941, 7295, 1005, 15075, 1493, 11492, 1094, 3897, 27355, 1054, 4480, 18076, 1416, 1068, 1026, 20628, 1616, 9083, 1048, 1687, 2155, 3659, 22737, 1005, 1976, 1261, 2926, 1005, 11849, 1009, 1224, 2926, 3482, 1081, 2705, 1054, 9441, 1439, 18076, 2001, 1043, 19266, 3901, 1048, 1299, 1160, 1325, 23358, 1043, 1026, 3445, 1005, 2540, 1048, 1224, 6925, 4172, 1015, 3678, 1645, 3812, 1165, 21914, 58, 6124, 1049, 4575, 7985, 1167, 18955, 1009, 7896, 12796, 3363, 1093, 7860, 2804, 3363, 1093, 4434, 17169, 7856, 1049, 8449, 1049, 2022, 1243, 2324, 4315, 7860, 23910, 4434, 17169, 7856, 1049, 8449, 1049, 2920, 3857, 1009, 15224, 5, 17198, 1025, 3626, 1155, 1135, 1064, 6817, 22963, 1560, 3151, 1187, 10110, 1009, 16224, 1072, 2823, 27943, 2613, 2037, 4579, 2523, 2613, 2037, 4579, 1605, 7856, 1049, 8449, 1060, 11454, 25124, 4510, 4075, 4579, 2523, 4510, 4075, 4579, 1759, 1081, 3899, 1043, 1026, 7856, 1187, 1449, 25657, 29275, 9195, 18, 4579, 2322, 9195, 18, 4579, 1605, 1048, 3901, 31818, 1054, 6831, 2219, 3900, 1404, 8814, 18, 6391, 1779, 3422, 10777, 6391, 1759, 1081, 3899, 1043, 1026, 7856, 1060, 10502, 11131, 13554, 30, 9195, 18, 4579, 2322, 9195, 18, 4579, 1605, 1048, 3901, 31818, 1043, 26596, 1016, 24067, 28095, 3900, 1404, 8814, 18, 6391, 1779, 3422, 10777, 6391, 28625, 1024, 1118, 13778, 90, 21638, 29384, 8620, 9061, 6831, 1005, 7156, 22730, 7515, 6837, 10669, 2230, 1471, 6498, 1121, 1734, 5513, 18524, 21694, 1049, 4575, 9295, 3008, 1065, 1223, 7860, 89, 1605, 1048, 3901, 31818, 1043, 1011, 26428, 13389, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 3901, 31818, 1043, 1026, 1968, 1020, 4470, 24835, 3900, 1404, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 3901, 31818, 1043, 26596, 1016, 13389, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 1299, 2572, 3754, 1043, 31818, 1043, 1026, 1968, 1020, 4470, 24835, 29353, 3900, 1404, 8814, 18, 6391, 1799, 3422, 10777, 6391, 1605, 1048, 3901, 31818, 1043, 1026, 10852, 24006, 3507, 13389, 8814, 18, 6391, 1799, 3422, 10777, 6391, 17698, 31538, 1617, 1208, 2592, 5, 1722, 1617, 1208, 2592, 1096, 1044, 2788, 1009, 2266, 1322, 27045, 1328, 1055, 1009, 26933, 1043, 1026, 3489, 1009, 12746, 1026, 9278, 1784, 30130, 1187, 2776, 14147, 14530, 3748, 7676, 1005, 13177, 5652, 1333, 1322, 10600, 1005, 27045, 1328, 1055, 1009, 26933, 1159, 1006, 5655, 1060, 7061, 17930, 1005, 1006, 11267, 1187, 10110, 1009, 2079, 4502, 1163, 2902, 20, 15685, 15054, 1255, 2583, 1187, 10110, 1049, 17824, 2079, 4502, 25999, 21699, 6352, 29058, 1058, 4327, 5902, 1663, 3469, 22480, 1026, 17824, 2079, 4502, 3684, 22341, 1026, 3435, 1049, 3366, 1118, 2191, 1060, 27045, 1328, 1055, 1009, 2776, 14147, 10634, 1132, 21044, 23060, 1616, 1009, 23564, 15616, 1049, 8222, 1137, 1009, 2079, 4502, 1163, 2902, 14398, 56, 6923, 21892, 1467, 56, 6923, 21892, 1067, 1954, 3277, 1024, 3681, 8814, 6391, 17466, 4681, 9932, 6391, 17466, 7375, 9350, 6391, 13383, 5056, 9647, 6391, 20392, 11306, 9195, 4579, 2149, 3851, 15, 9499, 4579, 23216, 4681, 8814, 4579, 1071, 4700, 15, 9932, 4579, 13383, 5056, 9350, 4579, 15497, 5463, 9647, 4579, 12726, 7362, 8819, 4579, 14256, 7375, 8108, 4579, 1071, 4700, 15, 1, 1138, 7856, 1187, 10110, 1043, 23821, 10110, 1043, 7939, 2643, 5726, 1005, 17874, 2733, 5430, 1680, 1159, 1006, 15313, 20898, 1525, 1049, 29887, 3858, 21672, 1006, 16570, 17254, 1187, 10110, 1043, 7939, 1068, 18883, 1006, 1058, 12228, 3482, 1081, 2705, 1048, 1325, 30725, 1026, 7939, 18168, 1048, 1026, 29887, 1348, 5902, 1058, 6910, 1870, 1058, 22634, 1006, 17944, 1456, 22593, 10261, 1206, 5902, 13753, 1024, 1224, 4008, 3482, 1081, 2705, 1048, 30479, 4022, 2127, 1213, 7939, 1009, 2089, 1783, 18168, 1048, 1299, 1325, 4619, 12746, 1005, 14126, 4022, 1679, 1734, 1054, 1224, 8150, 8222, 2705, 1043, 2539, 29208, 2625, 1298, 3442, 1470, 3433, 1009, 1048, 1299, 1976, 14126, 4022, 30437, 1048, 1327, 3711, 4412, 1054, 1224, 1834, 3482, 1081, 2705, 1043, 1044, 7939, 1064, 9916, 24166, 85, 1005, 20479, 9083, 1048, 1299, 1325, 1009, 2631, 10225, 1005, 1048, 1006, 1834, 1096, 5450, 1005, 5450, 3482, 1081, 2705, 1043, 4327, 7890, 1435, 1054, 1235, 7939, 9083, 1048, 1299, 1298, 1663, 3398, 5410, 6788, 1026, 7939, 1049, 1235, 8449, 1160, 1096, 1657, 5350, 2784, 1318, 1381, 1299, 1058, 4877, 9143, 1471, 1206, 1233, 29282, 27238, 1048, 1235, 2011, 1325, 10064, 7899, 1206, 1299, 5115, 150, 1044, 2011, 1048, 1026, 5928, 3039, 1231, 1005, 1058, 1863, 1130, 1076, 1043, 1264, 3482, 1081, 2705, 1043, 1044, 7939, 1642, 2037, 1206, 1044, 7939, 1043, 20266, 2317, 1654, 1030, 12649, 1005, 30594, 11321, 8896, 6058, 9083, 1048, 1299, 1298, 2593, 1054, 1168, 17654, 4659, 1054, 1094, 4087, 4417, 1005, 3659, 1413, 1660, 2270, 3735, 1132, 5162, 2643, 3530, 26933, 1857, 1318, 1693, 13279, 1048, 12716, 1027, 23676, 31749, 1005 ]

[ 1184, 13456, 2246, 1132, 8938, 23487, 1006, 2618, 4323, 3959, 21579, 14485, 1132, 1124, 1399, 5624, 1219, 3048, 1132, 4933, 1038, 2839, 3434, 1219, 14360, 2618, 4323, 3118, 27913, 13093, 1054, 1456, 17489, 17278, 1033, 15881, 3368, 1309, 14360, 2539, 4440, 3145, 15469, 1206, 3587, 1598, 1544, 1009, 8133, 1051, 2453, 1009, 1752, 1427, 1667, 6771, 1184, 20128, 1049, 1048, 4933, 1038, 2839, 5624, 1219, 1096, 1026, 2121, 1385, 3477, 1010, 1192, 25573, 23960, 1092, 9224, 18, 1044, 4798, 1049, 7598, 1104, 1014, 1104, 95, 1066, 1076, 1048, 1096, 1026, 3872, 1048, 4836, 1044, 16074, 1047, 1148, 1011, 1423, 1193, 1139, 1363, 2673, 2453, 1009, 1569, 5605, 26321, 3477, 1010, 1192, 25573, 4215, 1160, 1096, 5077, 1044, 8133, 3933, 1005, 1224, 16074, 1333, 75, 17099, 1160, 1195, 15167, 1118, 2653, 4844, 1138, 4796, 1096, 1184, 3867, 1679, 14236, 1005, 10089, 1031, 1017, 2432, 1728, 1766, 2121, 4667, 1009, 2462, 1237, 2435, 1230, 1018, 1318, 14360, 8133, 20013, 1449, 3342, 1043, 1124, 1155, 4369, 1449, 15875, 10904, 6741, 1183, 5049, 1075, 30912, 18, 1005, 2643, 1094, 2869, 16074, 79, 14570, 1043, 1155, 4369, 1449, 2447, 8519, 2034, 1066, 11728, 19664, 15, 1005, 4269, 1038, 1253, 1034, 1946, 5216, 1571, 1124, 1155, 4369, 1327, 1132, 8938, 6097, 13104, 15278, 20855, 1048, 1132, 2121, 4667, 2213, 1040, 1124, 22231, 8751, 2447, 1006, 20827, 1233, 1169, 89, 1087, 1112, 1511, 1141, 5084, 1213, 31226, 3423, 2668, 1132, 14159, 1219, 1318, 1693, 2071, 1155, 4369, 8006, 30325, 11103, 1312, 6938, 1095, 1471, 1066, 10258, 1093, 15, 1159, 1235, 13512, 16074, 79, 15462, 5044, 14159, 1219, 6132, 2644, 12027, 1009, 2121, 4667, 10945, 1006, 1155, 4369, 1005, 1011, 1423, 1193, 4046, 6253, 2754, 2624, 1213, 2729, 1060, 2042, 3110, 4000, 1010, 3705, 8336, 1033, 15881, 1221, 1009, 1044, 8133, 1051, 1096, 3509, 1009, 5335, 1193, 1047, 31619, 1138, 5335, 1193, 1047, 1148, 1298, 1178, 1044, 1124, 1491, 1031, 2526, 1206, 4933, 1038, 31193, 1031, 1095, 1667, 1766, 14159, 1219, 10945, 1327, 10336, 1009, 1124, 1399, 3434, 1219, 1206, 4933, 1038, 2839, 3434, 12754, 20791, 1205, 2148, 1159, 1044, 16074, 1047, 1148, 1054, 1044, 8133, 1051, 3449, 1178, 1094, 2596, 17668, 1236, 1009, 1044, 2121, 1385, 3524, 20387, 10956, 18, 1566, 1048, 2916, 1009, 16554, 1009, 2252, 1124, 5715, 1009, 2121, 4667, 31443, 1202, 1989, 3756, 1009, 1834, 1879, 1592, 5335, 1193, 1047, 1148, 1043, 2625, 4137, 72, 1047, 1347, 1318, 1298, 7737, 5480, 1009, 4758, 1493, 18011, 1766, 14159, 1219, 1327, 8903, 1294, 2688, 1837, 1044, 2121, 1385, 11419, 1006, 2156, 1206, 1495, 2125, 5715, 1009, 1155, 4369, 2893, 4514, 1206, 1184, 5715, 1009, 2121, 4667, 1693, 21211, 1068, 9164, 1026, 1592, 8133, 1051, 1658, 4806, 1006, 4054, 2919, 1124, 13463, 1005, 6428, 1009, 2121, 4667, 1048, 5241, 5715, 1598, 7332, 1009, 8133, 1051, 5801, 7650, 4544, 1132, 8133, 1219, 6583, 2281, 26068, 1159, 19933, 1118, 1702, 4248, 1160, 1195, 1495, 9856, 2525, 1511, 1026, 16747, 30506, 16941, 4568, 93, 1444, 9264, 19361, 1224, 6704, 1761, 1029, 1009, 14159, 12754, 1048, 1132, 14159, 1219, 1327, 1094, 9546, 1009, 2121, 4667, 1043, 1155, 4369, 1206, 1011, 1423, 1193, 4046, 23753, 2277, 1006, 1428, 1006, 7472, 5154, 1060, 9705, 1009, 14159, 1219, 6884, 1006, 4766, 8607, 1063, 14496, 1009, 4568, 93, 1444, 1051, 1870, 1048, 1114, 4180, 15776, 2898, 1009, 11810, 7085, 2565, 9096, 1009, 1224, 23104, 5034, 1060, 23085, 3253, 1005, 3090, 1054, 8133, 12754, 1155, 4369, 1005, 2121, 4667, 2301, 1044, 24793, 73, 17911, 1009, 3357, 20, 12010, 1187, 3145, 14159, 1051, 12741, 1060, 7475, 1159, 6669, 1062, 2431, 28473, 1005, 28273, 27866, 3309, 1870, 9934, 22416, 1006, 14496, 1009, 4568, 93, 1444, 9264, 2246, 1026, 18866, 3707, 1516, 1048, 1664, 1132, 19933, 20435, 2829, 16055, 6613, 28141, 15155, 12741, 15710, 4837, 1159, 15547, 6562, 1009, 2529, 2196, 13793, 6961, 22146, 2946, 4041, 11656, 15236, 11193, 11768, 6088, 1358, 1586, 6519, 1529, 1005, 4913, 9565, 21622, 1092, 1259, 1045, 1160, 1596, 2072, 22468, 1054, 9934, 1698, 1124, 8582, 1009, 4568, 93, 1444, 9264, 1005, 1026, 6502, 4108, 1058, 29788, 1068, 2089, 3905, 1009, 20459, 1159, 6970, 72, 8107, 14012, 1672, 8574, 1005, 3759, 2158, 4179, 23087, 3735, 1124, 23432, 6298, 1365, 5335, 4309, 1882, 7639, 3759, 23201, 1391, 1005, 1456, 9245, 1689, 1596, 6736, 6879, 3273, 1006, 14496, 1009, 4568, 93, 1444, 9264, 2845, 1006, 5587, 4114, 3843, 14218, 9262, 7085, 1102, 1060, 5154, 1761, 1029, 1187, 8133, 20013, 1596, 27670, 1511, 15001, 1051, 7034, 9415, 1456, 3770, 1054, 16718, 1072, 1831, 27881, 17668, 1188, 1009, 5746, 162, 17427, 6439, 3832, 1009, 6796, 1094, 2360, 2317, 3438, 1060, 5966, 2121, 4667, 12052, 4369, 1195, 7621, 20, 20195, 95, 2478, 1612, 5069, 1005, 1456, 10309, 20613, 1048, 2653, 4267, 1009, 8133, 1051, 1048, 1118, 1493, 1557, 1058, 27436, 4207, 14512, 1124, 1491, 1031, 2526, 12052, 1665, 2829, 18, 1114, 7443, 1030, 4239, 1124, 1491, 1031, 2526, 5594, 1016, 1038, 31193, 1031, 2526, 12052, 1665, 31122, 6108, 1318, 1257, 4499, 72, 1333, 15732, 2034, 1491, 95, 1066, 1076, 5, 6425, 1038, 1047, 4591, 1066, 1076, 10991, 1257, 24367, 1219, 3933, 3292, 1082, 4437, 2159, 1142, 177, 3084, 4566, 5542, 3106, 86, 1943, 4053, 1565, 7426, 27870, 1432, 16827, 1632, 10146, 1610, 79, 8427, 1063, 9633, 1925, 12781, 1082, 4976, 27884, 1142, 2628, 1219, 1123, 1507, 27993, 2100, 2045, 9633, 1692, 1056, 675, 9670, 14, 11913, 13939, 0, 31, 620, 2944, 3818, 2310, 1537, 1257, 1257, 19275, 5624, 20013, 1797, 1092, 1722, 2158, 24013, 1691, 1031, 2404, 1759, 9213, 1333, 75, 1, 3578, 1009, 3217, 16103, 1206, 19730, 1009, 3217, 16103, 1195, 1044, 8209, 27425, 1048, 17914, 1026, 7783, 6278, 1005, 3948, 1060, 4668, 16798, 19, 4404, 1122, 5289, 19002, 1118, 7694, 27600, 3478, 1054, 3217, 1302, 1229, 1072, 5109, 1049, 2497, 1060, 10542, 2275, 1766, 24773, 14813, 1365, 5614, 28, 1005, 5614, 2525, 1043, 1006, 12947, 1060, 4668, 1005, 1006, 3248, 1060, 1712, 1751, 1187, 2971, 10762, 4231, 1009, 3217, 16103, 1658, 10909, 29049, 24776, 1118, 4128, 1174, 175, 1037, 1333, 15177, 1805, 6875, 2872, 1016, 1011, 30446, 1392, 1005, 21834, 1968, 21007, 15146, 1118, 1094, 11166, 6647, 9482, 1005, 16406, 1082, 3276, 1074, 1009, 24884, 5282, 1386, 2644, 1068, 3217, 1302, 1229, 5693, 1623, 19002, 1356, 23375, 1468, 7694, 27600, 3478, 31114, 1114, 16980, 3552, 28542, 22280, 18751, 1048, 16939, 1461, 1132, 12942, 2582, 4231, 1049, 17719, 1027, 1187, 15295, 3340, 1049, 8393, 1005, 1060, 21115, 9482, 1005, 2952, 5044, 3056, 20696, 1689, 1060, 10909, 1821, 23284, 1006, 1751, 1049, 1373, 1471, 8500, 22858, 1044, 3838, 2417, 1009, 6690, 3994, 1233, 5007, 8752, 12444, 4737, 1154, 5842, 13930, 1048, 10023, 16319, 29364, 1717, 7694, 27600, 1243, 1005, 1456, 13220, 20, 8446, 28514, 20765, 1009, 1048, 3217, 16103, 1058, 4527, 1393, 1068, 16012, 4761, 5771, 2447, 1005, 2323, 1054, 4188, 1233, 3861, 1068, 1009, 1266, 1026, 2671, 24782, 1005, 1057, 30015, 1006, 4862, 15770, 16574, 1009, 1160, 5265, 4697, 5274, 1068, 5680, 12477, 17789, 1026, 7783, 1195, 24328, 1068, 3217, 1302, 1554, 11659, 10248, 1887, 7114, 1717, 3217, 16103, 20990, 13685, 3273, 1026, 1048, 1168, 1179, 7541, 1006, 7059, 15289, 1048, 5404, 26570, 1006, 12947, 1049, 21057, 6146, 6485, 21945, 1149, 1213, 30828, 1009, 1495, 10757, 1910, 24884, 80, 1554, 3423, 2668, 23020, 1371, 1048, 3251, 1910, 7114, 6583, 1025, 2641, 4457, 1063, 3781, 7023, 1043, 1006, 12947, 3225, 1009, 3217, 1302, 1229, 1006, 1009, 77, 3728, 1009, 2653, 22777, 1009, 12487, 1005, 1026, 13866, 1009, 2252, 1124, 7122, 1049, 21057, 1230, 29414, 3133, 6627, 1009, 7694, 27600, 1243, 4395, 1012, 3809, 14395, 14031, 4557, 2732, 18, 9459, 5114, 1009, 2951, 1012, 3809, 27600, 1243, 1406, 5810, 1054, 1633, 1483, 1975, 1193, 2334, 1072, 24024, 1054, 2523, 1009, 3261, 1009, 14663, 2041, 1009, 5970, 2531, 1048, 18904, 1294, 17719, 1121, 1365, 1224, 3548, 11763, 1005, 11841, 25296, 20, 3126, 17445, 18, 4868, 1005, 9495, 22339, 1294, 17719, 1121, 1009, 1156, 18037, 1005, 9831, 1615, 20, 4733, 1006, 1224, 7391, 1030, 9249, 23365, 1054, 3653, 1009, 1044, 1015, 24919, 1060, 3722, 15289, 3475, 1006, 3441, 1024, 2309, 17719, 1121, 1054, 1094, 2159, 2648, 1009, 10757, 1005, 3251, 4844, 22575, 1079, 1006, 3217, 16103, 1054, 5614, 2394, 12502, 5548, 1049, 21057, 1230, 1005, 4532, 1435, 8471, 1009, 9913, 15278, 8875, 1048, 1006, 16727, 19362, 9776, 1120, 1140, 1072, 6402, 1516, 1006, 4577, 1990, 1049, 9826, 1049, 2487, 79, 3883, 88, 2575, 1114, 16705, 1094, 1472, 1048, 1026, 2671, 4107, 2909, 1094, 1661, 1056, 1112, 1060, 8558, 1060, 4482, 10708, 1068, 2486, 1041, 8788, 1132, 1960, 13104, 1063, 15838, 1009, 11361, 15377, 1140, 1009, 1871, 3746, 22843, 1006, 16908, 1049, 6276, 6451, 1005, 1006, 15364, 1365, 4482, 1005, 2956, 2829, 9262, 2258, 1102, 1060, 19880, 1049, 6809, 1053, 1049, 1784, 15007, 88, 1007, 1230, 1009, 3217, 16103, 11188, 1056, 16103, 1516, 1094, 4671, 14955, 1048, 9096, 1890, 1026, 3009, 15647, 1294, 18536, 1060, 13829, 3217, 1302, 1229, 1726, 12965, 1049, 4489, 23295, 71, 4314, 26337, 3150, 1424, 1006, 8685, 1009, 7694, 27600, 1243, 1054, 5614, 25, 3475, 1006, 10596, 8821, 1122, 2972, 3240, 1054, 6734, 1646, 9454, 1006, 6242, 1118, 2922, 1009, 2971, 10762, 13515, 7694, 27600, 1243, 25886, 8912, 1026, 2386, 1009, 10055, 8277, 18, 4850, 1009, 2593, 11073, 2730, 1581, 1324, 1365, 27771, 1658, 24672, 1026, 1373, 1471, 1005, 1132, 4128, 1174, 1425, 10915, 1060, 2413, 20079, 2241, 1371, 1043, 1006, 2360, 1641, 8636, 1005, 1043, 1006, 7903, 20311, 1009, 1783, 1005, 3408, 1068, 6185, 2017, 12277, 14351, 2009, 17343, 2197, 14972, 1094, 3289, 1009, 7694, 27600, 1243, 1159, 29669, 2530, 85, 3118, 8196, 1291, 8, 1006, 3159, 1009, 28767, 5989, 6657, 18363, 22255, 1072, 1908, 1006, 1871, 1009, 2671, 3118, 16402, 3336, 27282, 1425, 1236, 2328, 1060, 24672, 2237, 3289, 8293, 8386, 4857, 1026, 3790, 1060, 7059, 4345, 1049, 1908, 1068, 26030, 1006, 3781, 2409, 1236, 1717, 1132, 4231, 1049, 21057, 1230, 1009, 3217, 16103, 3313, 1451, 1112, 2952, 7177, 2671, 1060, 5007, 8752, 12444, 4737, 1154, 1196, 13001, 1009, 3453, 1068, 4577, 3033, 1456, 6962, 1229, 1005, 1998, 1058, 9251, 3863, 1072, 20565, 1027, 1357, 15838, 1009, 4560, 90, 1554, 1063, 25744, 2284, 26491, 6734, 1646, 1996, 1072, 6402, 1005, 2691, 15809, 1005, 17719, 5247, 4440, 1009, 4472, 3247, 1753, 1010, 3441, 18749, 7404, 4570, 1049, 3177, 1233, 3548, 1005, 1043, 3758, 1580, 7741, 1009, 10864, 8974, 1159, 1132, 2258, 1097, 2871, 24884, 80, 1229, 2122, 4614, 1600, 1606, 1640, 88, 1549, 15080, 2923, 1054, 6019, 1049, 9568, 1049, 23375, 1468, 7694, 27600, 3478, 3503, 3958, 1048, 1264, 3012, 11637, 9386, 1060, 4087, 1009, 14965, 18806, 1206, 3871, 16288, 1006, 28542, 29672, 1114, 2924, 1834, 2474, 2440, 2404, 1049, 8209, 3436, 1090, 1568, 1053, 1005, 1006, 1944, 16974, 5868, 3268, 1009, 5614, 2443, 2755, 1026, 6449, 1048, 13230, 9887, 1006, 3578, 1009, 3217, 1302, 1554, 7694, 27600, 1243, 2284, 19726, 1069, 1094, 3245, 2840, 1009, 19752, 23618, 1009, 6156, 1270, 3478, 1068, 1006, 3649, 1060, 6661, 26935, 1309, 1006, 7331, 1160, 1195, 1365, 15977, 4850, 1009, 1261, 2281, 2533, 1377, 5306, 2051, 2276, 20765, 1009, 1048, 1132, 12836, 4703, 1573, 3505, 1648, 8290, 1006, 7331, 1233, 16922, 1026, 1048, 5510, 1124, 7129, 1009, 6156, 1270, 1243, 1006, 7340, 1044, 5975, 1009, 8377, 1213, 2671, 7263, 3178, 7068, 1048, 23624, 1044, 5255, 1303, 9674, 1009, 18520, 1962, 7198, 1288, 4133, 1049, 31523, 8110, 1060, 5827, 21208, 8201, 20, 4733, 2539, 2250, 1009, 2540, 1054, 6156, 1270, 3478, 13520, 1048, 1026, 12477, 1017, 1516, 1558, 2351, 1026, 5255, 1303, 9674, 13655, 2323, 1054, 4188, 1006, 3217, 1302, 1229, 1054, 2978, 1009, 29571, 2605, 1006, 2208, 2002, 1096, 10670, 1236, 1890, 1006, 18393, 1054, 1228, 2363, 3893, 2309, 13220, 1009, 7694, 27600, 3478, 1048, 3586, 1288, 1026, 4133, 1009, 1632, 2024, 175, 1005, 3381, 2642, 1430, 20, 1205, 4888, 1159, 2306, 15622, 1068, 1057, 2112, 1206, 1068, 1006, 23071, 11959, 20570, 1233, 28832, 2309, 1786, 1021, 3352, 23120, 1348, 83, 1087, 1402, 1005, 6207, 1554, 7669, 1006, 12487, 1048, 18616, 16897, 1992, 7622, 14768, 6107, 15880, 1034, 10188, 20633, 2948, 1100, 1026, 1083, 0, 7120, 12573, 1356, 27600, 3478, 1005, 1006, 3721, 1889, 1228, 2363, 150, 3895, 18146, 1054, 3746, 1147, 5449, 1009, 6942, 20, 1138, 3266, 31523, 21208, 8201, 7622, 1026, 6147, 23986, 1006, 1150, 1441, 88, 1519, 2425, 21538, 8, 1187, 1351, 18015, 1347, 1005, 1006, 1871, 2574, 21971, 1159, 3361, 2241, 1569, 17312, 4525, 5639, 6071, 2301, 1168, 29647, 1063, 3318, 28568, 1005, 1006, 24855, 1043, 1048, 1006, 3961, 1058, 3765, 4099, 1031, 2698, 9013 ]

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

[ 1184, 13456, 2246, 1132, 8938, 23487, 1006, 2618, 4323, 3959, 21579, 14485, 1132, 1124, 1399, 5624, 1219, 3048, 1132, 4933, 1038, 2839, 3434, 1219, 14360, 2618, 4323, 3118, 27913, 13093, 1054, 1456, 17489, 17278, 1033, 15881, 3368, 1309, 14360, 2539, 4440, 3145, 15469, 1206, 3587, 1598, 1544, 1009, 8133, 1051, 2453, 1009, 1752, 1427, 1667, 6771, 1184, 20128, 1049, 1048, 4933, 1038, 2839, 5624, 1219, 1096, 1026, 2121, 1385, 3477, 1010, 1192, 25573, 23960, 1092, 9224, 18, 1044, 4798, 1049, 7598, 1104, 1014, 1104, 95, 1066, 1076, 1048, 1096, 1026, 3872, 1048, 4836, 1044, 16074, 1047, 1148, 1011, 1423, 1193, 1139, 1363, 2673, 2453, 1009, 1569, 5605, 26321, 3477, 1010, 1192, 25573, 4215, 1160, 1096, 5077, 1044, 8133, 3933, 1005, 1224, 16074, 1333, 75, 17099, 1160, 1195, 15167, 1118, 2653, 4844, 1138, 4796, 1096, 1184, 3867, 1679, 14236, 1005, 10089, 1031, 1017, 2432, 1728, 1766, 2121, 4667, 1009, 2462, 1237, 2435, 1230, 1018, 1318, 14360, 8133, 20013, 1449, 3342, 1043, 1124, 1155, 4369, 1449, 15875, 10904, 6741, 1183, 5049, 1075, 30912, 18, 1005, 2643, 1094, 2869, 16074, 79, 14570, 1043, 1155, 4369, 1449, 2447, 8519, 2034, 1066, 11728, 19664, 15, 1005, 4269, 1038, 1253, 1034, 1946, 5216, 1571, 1124, 1155, 4369, 1327, 1132, 8938, 6097, 13104, 15278, 20855, 1048, 1132, 2121, 4667, 2213, 1040, 1124, 22231, 8751, 2447, 1006, 20827, 1233, 1169, 89, 1087, 1112, 1511, 1141, 5084, 1213, 31226, 3423, 2668, 1132, 14159, 1219, 1318, 1693, 2071, 1155, 4369, 8006, 30325, 11103, 1312, 6938, 1095, 1471, 1066, 10258, 1093, 15, 1159, 1235, 13512, 16074, 79, 15462, 5044, 14159, 1219, 6132, 2644, 12027, 1009, 2121, 4667, 10945, 1006, 1155, 4369, 1005, 1011, 1423, 1193, 4046, 6253, 2754, 2624, 1213, 2729, 1060, 2042, 3110, 4000, 1010, 3705, 8336, 1033, 15881, 1221, 1009, 1044, 8133, 1051, 1096, 3509, 1009, 5335, 1193, 1047, 31619, 1138, 5335, 1193, 1047, 1148, 1298, 1178, 1044, 1124, 1491, 1031, 2526, 1206, 4933, 1038, 31193, 1031, 1095, 1667, 1766, 14159, 1219, 10945, 1327, 10336, 1009, 1124, 1399, 3434, 1219, 1206, 4933, 1038, 2839, 3434, 12754, 20791, 1205, 2148, 1159, 1044, 16074, 1047, 1148, 1054, 1044, 8133, 1051, 3449, 1178, 1094, 2596, 17668, 1236, 1009, 1044, 2121, 1385, 3524, 20387, 10956, 18, 1566, 1048, 2916, 1009, 16554, 1009, 2252, 1124, 5715, 1009, 2121, 4667, 31443, 1202, 1989, 3756, 1009, 1834, 1879, 1592, 5335, 1193, 1047, 1148, 1043, 2625, 4137, 72, 1047, 1347, 1318, 1298, 7737, 5480, 1009, 4758, 1493, 18011, 1766, 14159, 1219, 1327, 8903, 1294, 2688, 1837, 1044, 2121, 1385, 11419, 1006, 2156, 1206, 1495, 2125, 5715, 1009, 1155, 4369, 2893, 4514, 1206, 1184, 5715, 1009, 2121, 4667, 1693, 21211, 1068, 9164, 1026, 1592, 8133, 1051, 1658, 4806, 1006, 4054, 2919, 1124, 13463, 1005, 6428, 1009, 2121, 4667, 1048, 5241, 5715, 1598, 7332, 1009, 8133, 1051, 5801, 7650, 4544, 1132, 8133, 1219, 6583, 2281, 26068, 1159, 19933, 1118, 1702, 4248, 1160, 1195, 1495, 9856, 2525, 1511, 1026, 16747, 30506, 16941, 4568, 93, 1444, 9264, 19361, 1224, 6704, 1761, 1029, 1009, 14159, 12754, 1048, 1132, 14159, 1219, 1327, 1094, 9546, 1009, 2121, 4667, 1043, 1155, 4369, 1206, 1011, 1423, 1193, 4046, 23753, 2277, 1006, 1428, 1006, 7472, 5154, 1060, 9705, 1009, 14159, 1219, 6884, 1006, 4766, 8607, 1063, 14496, 1009, 4568, 93, 1444, 1051, 1870, 1048, 1114, 4180, 15776, 2898, 1009, 11810, 7085, 2565, 9096, 1009, 1224, 23104, 5034, 1060, 23085, 3253, 1005, 3090, 1054, 8133, 12754, 1155, 4369, 1005, 2121, 4667, 2301, 1044, 24793, 73, 17911, 1009, 3357, 20, 12010, 1187, 3145, 14159, 1051, 12741, 1060, 7475, 1159, 6669, 1062, 2431, 28473, 1005, 28273, 27866, 3309, 1870, 9934, 22416, 1006, 14496, 1009, 4568, 93, 1444, 9264, 2246, 1026, 18866, 3707, 1516, 1048, 1664, 1132, 19933, 20435, 2829, 16055, 6613, 28141, 15155, 12741, 15710, 4837, 1159, 15547, 6562, 1009, 2529, 2196, 13793, 6961, 22146, 2946, 4041, 11656, 15236, 11193, 11768, 6088, 1358, 1586, 6519, 1529, 1005, 4913, 9565, 21622, 1092, 1259, 1045, 1160, 1596, 2072, 22468, 1054, 9934, 1698, 1124, 8582, 1009, 4568, 93, 1444, 9264, 1005, 1026, 6502, 4108, 1058, 29788, 1068, 2089, 3905, 1009, 20459, 1159, 6970, 72, 8107, 14012, 1672, 8574, 1005, 3759, 2158, 4179, 23087, 3735, 1124, 23432, 6298, 1365, 5335, 4309, 1882, 7639, 3759, 23201, 1391, 1005, 1456, 9245, 1689, 1596, 6736, 6879, 3273, 1006, 14496, 1009, 4568, 93, 1444, 9264, 2845, 1006, 5587, 4114, 3843, 14218, 9262, 7085, 1102, 1060, 5154, 1761, 1029, 1187, 8133, 20013, 1596, 27670, 1511, 15001, 1051, 7034, 9415, 1456, 3770, 1054, 16718, 1072, 1831, 27881, 17668, 1188, 1009, 5746, 162, 17427, 6439, 3832, 1009, 6796, 1094, 2360, 2317, 3438, 1060, 5966, 2121, 4667, 12052, 4369, 1195, 7621, 20, 20195, 95, 2478, 1612, 5069, 1005, 1456, 10309, 20613, 1048, 2653, 4267, 1009, 8133, 1051, 1048, 1118, 1493, 1557, 1058, 27436, 4207, 14512, 1124, 1491, 1031, 2526, 12052, 1665, 2829, 18, 1114, 7443, 1030, 4239, 1124, 1491, 1031, 2526, 5594, 1016, 1038, 31193, 1031, 2526, 12052, 1665, 31122, 6108, 1318, 1257, 4499, 72, 1333, 15732, 2034, 1491, 95, 1066, 1076, 5, 6425, 1038, 1047, 4591, 1066, 1076, 10991, 1257, 24367, 1219, 3933, 3292, 1082, 4437, 2159, 1142, 177, 3084, 4566, 5542, 3106, 86, 1943, 4053, 1565, 7426, 27870, 1432, 16827, 1632, 10146, 1610, 79, 8427, 1063, 9633, 1925, 12781, 1082, 4976, 27884, 1142, 2628, 1219, 1123, 1507, 27993, 2100, 2045, 9633, 1692, 1056, 675, 9670, 14, 11913, 13939, 0, 31, 620, 2944, 3818, 2310, 1537, 1257, 1257, 19275, 5624, 20013, 1797, 1092, 1722, 2158, 24013, 1691, 1031, 2404, 1759, 9213, 1333, 75, 1, 3578, 1009, 3217, 16103, 1206, 19730, 1009, 3217, 16103, 1195, 1044, 8209, 27425, 1048, 17914, 1026, 7783, 6278, 1005, 3948, 1060, 4668, 16798, 19, 4404, 1122, 5289, 19002, 1118, 7694, 27600, 3478, 1054, 3217, 1302, 1229, 1072, 5109, 1049, 2497, 1060, 10542, 2275, 1766, 24773, 14813, 1365, 5614, 28, 1005, 5614, 2525, 1043, 1006, 12947, 1060, 4668, 1005, 1006, 3248, 1060, 1712, 1751, 1187, 2971, 10762, 4231, 1009, 3217, 16103, 1658, 10909, 29049, 24776, 1118, 4128, 1174, 175, 1037, 1333, 15177, 1805, 6875, 2872, 1016, 1011, 30446, 1392, 1005, 21834, 1968, 21007, 15146, 1118, 1094, 11166, 6647, 9482, 1005, 16406, 1082, 3276, 1074, 1009, 24884, 5282, 1386, 2644, 1068, 3217, 1302, 1229, 5693, 1623, 19002, 1356, 23375, 1468, 7694, 27600, 3478, 31114, 1114, 16980, 3552, 28542, 22280, 18751, 1048, 16939, 1461, 1132, 12942, 2582, 4231, 1049, 17719, 1027, 1187, 15295, 3340, 1049, 8393, 1005, 1060, 21115, 9482, 1005, 2952, 5044, 3056, 20696, 1689, 1060, 10909, 1821, 23284, 1006, 1751, 1049, 1373, 1471, 8500, 22858, 1044, 3838, 2417, 1009, 6690, 3994, 1233, 5007, 8752, 12444, 4737, 1154, 5842, 13930, 1048, 10023, 16319, 29364, 1717, 7694, 27600, 1243, 1005, 1456, 13220, 20, 8446, 28514, 20765, 1009, 1048, 3217, 16103, 1058, 4527, 1393, 1068, 16012, 4761, 5771, 2447, 1005, 2323, 1054, 4188, 1233, 3861, 1068, 1009, 1266, 1026, 2671, 24782, 1005, 1057, 30015, 1006, 4862, 15770, 16574, 1009, 1160, 5265, 4697, 5274, 1068, 5680, 12477, 17789, 1026, 7783, 1195, 24328, 1068, 3217, 1302, 1554, 11659, 10248, 1887, 7114, 1717, 3217, 16103, 20990, 13685, 3273, 1026, 1048, 1168, 1179, 7541, 1006, 7059, 15289, 1048, 5404, 26570, 1006, 12947, 1049, 21057, 6146, 6485, 21945, 1149, 1213, 30828, 1009, 1495, 10757, 1910, 24884, 80, 1554, 3423, 2668, 23020, 1371, 1048, 3251, 1910, 7114, 6583, 1025, 2641, 4457, 1063, 3781, 7023, 1043, 1006, 12947, 3225, 1009, 3217, 1302, 1229, 1006, 1009, 77, 3728, 1009, 2653, 22777, 1009, 12487, 1005, 1026, 13866, 1009, 2252, 1124, 7122, 1049, 21057, 1230, 29414, 3133, 6627, 1009, 7694, 27600, 1243, 4395, 1012, 3809, 14395, 14031, 4557, 2732, 18, 9459, 5114, 1009, 2951, 1012, 3809, 27600, 1243, 1406, 5810, 1054, 1633, 1483, 1975, 1193, 2334, 1072, 24024, 1054, 2523, 1009, 3261, 1009, 14663, 2041, 1009, 5970, 2531, 1048, 18904, 1294, 17719, 1121, 1365, 1224, 3548, 11763, 1005, 11841, 25296, 20, 3126, 17445, 18, 4868, 1005, 9495, 22339, 1294, 17719, 1121, 1009, 1156, 18037, 1005, 9831, 1615, 20, 4733, 1006, 1224, 7391, 1030, 9249, 23365, 1054, 3653, 1009, 1044, 1015, 24919, 1060, 3722, 15289, 3475, 1006, 3441, 1024, 2309, 17719, 1121, 1054, 1094, 2159, 2648, 1009, 10757, 1005, 3251, 4844, 22575, 1079, 1006, 3217, 16103, 1054, 5614, 2394, 12502, 5548, 1049, 21057, 1230, 1005, 4532, 1435, 8471, 1009, 9913, 15278, 8875, 1048, 1006, 16727, 19362, 9776, 1120, 1140, 1072, 6402, 1516, 1006, 4577, 1990, 1049, 9826, 1049, 2487, 79, 3883, 88, 2575, 1114, 16705, 1094, 1472, 1048, 1026, 2671, 4107, 2909, 1094, 1661, 1056, 1112, 1060, 8558, 1060, 4482, 10708, 1068, 2486, 1041, 8788, 1132, 1960, 13104, 1063, 15838, 1009, 11361, 15377, 1140, 1009, 1871, 3746, 22843, 1006, 16908, 1049, 6276, 6451, 1005, 1006, 15364, 1365, 4482, 1005, 2956, 2829, 9262, 2258, 1102, 1060, 19880, 1049, 6809, 1053, 1049, 1784, 15007, 88, 1007, 1230, 1009, 3217, 16103, 11188, 1056, 16103, 1516, 1094, 4671, 14955, 1048, 9096, 1890, 1026, 3009, 15647, 1294, 18536, 1060, 13829, 3217, 1302, 1229, 1726, 12965, 1049, 4489, 23295, 71, 4314, 26337, 3150, 1424, 1006, 8685, 1009, 7694, 27600, 1243, 1054, 5614, 25, 3475, 1006, 10596, 8821, 1122, 2972, 3240, 1054, 6734, 1646, 9454, 1006, 6242, 1118, 2922, 1009, 2971, 10762, 13515, 7694, 27600, 1243, 25886, 8912, 1026, 2386, 1009, 10055, 8277, 18, 4850, 1009, 2593, 11073, 2730, 1581, 1324, 1365, 27771, 1658, 24672, 1026, 1373, 1471, 1005, 1132, 4128, 1174, 1425, 10915, 1060, 2413, 20079, 2241, 1371, 1043, 1006, 2360, 1641, 8636, 1005, 1043, 1006, 7903, 20311, 1009, 1783, 1005, 3408, 1068, 6185, 2017, 12277, 14351, 2009, 17343, 2197, 14972, 1094, 3289, 1009, 7694, 27600, 1243, 1159, 29669, 2530, 85, 3118, 8196, 1291, 8, 1006, 3159, 1009, 28767, 5989, 6657, 18363, 22255, 1072, 1908, 1006, 1871, 1009, 2671, 3118, 16402, 3336, 27282, 1425, 1236, 2328, 1060, 24672, 2237, 3289, 8293, 8386, 4857, 1026, 3790, 1060, 7059, 4345, 1049, 1908, 1068, 26030, 1006, 3781, 2409, 1236, 1717, 1132, 4231, 1049, 21057, 1230, 1009, 3217, 16103, 3313, 1451, 1112, 2952, 7177, 2671, 1060, 5007, 8752, 12444, 4737, 1154, 1196, 13001, 1009, 3453, 1068, 4577, 3033, 1456, 6962, 1229, 1005, 1998, 1058, 9251, 3863, 1072, 20565, 1027, 1357, 15838, 1009, 4560, 90, 1554, 1063, 25744, 2284, 26491, 6734, 1646, 1996, 1072, 6402, 1005, 2691, 15809, 1005, 17719, 5247, 4440, 1009, 4472, 3247, 1753, 1010, 3441, 18749, 7404, 4570, 1049, 3177, 1233, 3548, 1005, 1043, 3758, 1580, 7741, 1009, 10864, 8974, 1159, 1132, 2258, 1097, 2871, 24884, 80, 1229, 2122, 4614, 1600, 1606, 1640, 88, 1549, 15080, 2923, 1054, 6019, 1049, 9568, 1049, 23375, 1468, 7694, 27600, 3478, 3503, 3958, 1048, 1264, 3012, 11637, 9386, 1060, 4087, 1009, 14965, 18806, 1206, 3871, 16288, 1006, 28542, 29672, 1114, 2924, 1834, 2474, 2440, 2404, 1049, 8209, 3436, 1090, 1568, 1053, 1005, 1006, 1944, 16974, 5868, 3268, 1009, 5614, 2443, 2755, 1026, 6449, 1048, 13230, 9887, 1006, 3578, 1009, 3217, 1302, 1554, 7694, 27600, 1243, 2284, 19726, 1069, 1094, 3245, 2840, 1009, 19752, 23618, 1009, 6156, 1270, 3478, 1068, 1006, 3649, 1060, 6661, 26935, 1309, 1006, 7331, 1160, 1195, 1365, 15977, 4850, 1009, 1261, 2281, 2533, 1377, 5306, 2051, 2276, 20765, 1009, 1048, 1132, 12836, 4703, 1573, 3505, 1648, 8290, 1006, 7331, 1233, 16922, 1026, 1048, 5510, 1124, 7129, 1009, 6156, 1270, 1243, 1006, 7340, 1044, 5975, 1009, 8377, 1213, 2671, 7263, 3178, 7068, 1048, 23624, 1044, 5255, 1303, 9674, 1009, 18520, 1962, 7198, 1288, 4133, 1049, 31523, 8110, 1060, 5827, 21208, 8201, 20, 4733, 2539, 2250, 1009, 2540, 1054, 6156, 1270, 3478, 13520, 1048, 1026, 12477, 1017, 1516, 1558, 2351, 1026, 5255, 1303, 9674, 13655, 2323, 1054, 4188, 1006, 3217, 1302, 1229, 1054, 2978, 1009, 29571, 2605, 1006, 2208, 2002, 1096, 10670, 1236, 1890, 1006, 18393, 1054, 1228, 2363, 3893, 2309, 13220, 1009, 7694, 27600, 3478, 1048, 3586, 1288, 1026, 4133, 1009, 1632, 2024, 175, 1005, 3381, 2642, 1430, 20, 1205, 4888, 1159, 2306, 15622, 1068, 1057, 2112, 1206, 1068, 1006, 23071, 11959, 20570, 1233, 28832, 2309, 1786, 1021, 3352, 23120, 1348, 83, 1087, 1402, 1005, 6207, 1554, 7669, 1006, 12487, 1048, 18616, 16897, 1992, 7622, 14768, 6107, 15880, 1034, 10188, 20633, 2948, 1100, 1026, 1083, 0, 7120, 12573, 1356, 27600, 3478, 1005, 1006, 3721, 1889, 1228, 2363, 150, 3895, 18146, 1054, 3746, 1147, 5449, 1009, 6942, 20, 1138, 3266, 31523, 21208, 8201, 7622, 1026, 6147, 23986, 1006, 1150, 1441, 88, 1519, 2425, 21538, 8, 1187, 1351, 18015, 1347, 1005, 1006, 1871, 2574, 21971, 1159, 3361, 2241, 1569, 17312, 4525, 5639, 6071, 2301, 1168, 29647, 1063, 3318, 28568, 1005, 1006, 24855, 1043, 1048, 1006, 3961, 1058, 3765, 4099, 1031, 2698, 9013 ]

[ 1026, 14783, 1225, 1622, 1068, 4855, 2122, 2373, 7634, 2319, 626, 1071, 2575, 6071, 14536, 1679, 5082, 1347, 1006, 1834, 29672, 1159, 16401, 15, 1096, 1026, 1048, 1264, 2521, 1043, 5412, 8464, 32, 31940, 5233, 9706, 1005, 21380, 9706, 1233, 1224, 8643, 1071, 5151, 20, 1158, 1349, 1141, 1029, 3506, 9706, 1005, 3765, 5537, 1208, 25457, 1322, 1664, 1132, 11262, 7774, 2570, 1391, 2645, 18512, 1325, 22591, 1043, 1006, 31338, 8509, 1009, 2088, 14262, 1054, 2997, 1094, 4493, 16802, 13934, 1679, 1210, 80, 1229, 14738, 19, 1229, 1495, 18, 4109, 1009, 8464, 1479, 1011, 4794, 2346, 3646, 28, 1565, 5841, 25457, 1668, 7859, 18, 19045, 1233, 4482, 1479, 1026, 2373, 31171, 626, 1049, 1428, 8464, 1096, 1006, 2373, 17233, 2885, 8226, 1138, 1184, 10745, 3019, 3407, 6071, 1760, 3240, 1668, 3810, 30533, 1063, 4840, 1009, 1048, 1006, 4668, 12767, 1096, 1044, 2373, 31171, 626, 1479, 1026, 2373, 31171, 1009, 8464, 626, 1479, 9110, 1118, 2653, 28949, 1566, 2284, 2551, 6295, 1463, 3056, 3525, 1273, 19548, 8348, 11132, 1006, 2869, 1187, 2539, 3948, 1049, 2373, 31171, 626, 1365, 4384, 3995, 4794, 1083, 3258, 8856, 2944, 8704, 33, 12430, 3487, 15084, 33, 23, 2084, 2944, 29319, 33, 3394, 12505, 25, 8221, 3929, 1309, 1463, 12038, 1049, 13545, 3478, 2434, 1745, 4852, 1006, 16051, 1009, 2373, 31171, 1009, 8464, 626, 1068, 13393, 1507, 4492, 27758, 1322, 1006, 2869, 1048, 4292, 1365, 1006, 4668, 1005, 8464, 19176, 15599, 1054, 10992, 1100, 1837, 1791, 10883, 1493, 21628, 1068, 5149, 1026, 6980, 1060, 2869, 1365, 8464, 1005, 1006, 4482, 32, 1026, 1009, 2373, 17233, 2885, 626, 1005, 1026, 1009, 2373, 1212, 1051, 4641, 626, 4932, 11394, 1100, 2373, 1212, 1014, 4852, 626, 3377, 42, 15290, 1048, 8464, 1096, 1006, 2373, 17233, 2885, 626, 1060, 4482, 3927, 1126, 1996, 1009, 8435, 1048, 1132, 1791, 14360, 1094, 4668, 1634, 1398, 1078, 175, 1267, 1005, 1048, 1837, 1365, 1132, 1791, 1094, 2229, 18680, 3225, 1009, 1834, 1005, 1009, 5675, 33, 3927, 1126, 8536, 1048, 8464, 1096, 1026, 3709, 1233, 2922, 1049, 1428, 1026, 2373, 31171, 626, 1058, 9065, 9642, 1006, 2323, 1049, 1428, 1005, 1054, 19341, 1213, 1428, 1026, 2373, 31171, 626, 4973, 12203, 1058, 4352, 71, 1005, 1644, 88, 12029, 1006, 4599, 1005, 1026, 2822, 3960, 2373, 31171, 626, 33, 3927, 1126, 10204, 1048, 1006, 4482, 21, 626, 31171, 626, 1325, 11916, 1236, 1233, 15273, 1979, 1006, 8464, 21, 626, 17233, 2885, 626, 32, 1998, 1009, 8464, 1006, 4482, 8294, 1005, 1998, 1006, 2200, 1976, 15273, 1979, 3590, 15290, 1048, 1006, 4482, 1096, 1006, 2373, 1212, 1051, 4641, 626, 1071, 625, 1212, 1014, 4852, 626, 15, 1009, 8464, 3901, 3754, 1048, 17136, 25968, 1006, 2373, 1212, 1051, 4641, 4324, 1006, 2373, 23922, 1149, 626, 1009, 5303, 1667, 3720, 1096, 1026, 17171, 2137, 6864, 1006, 27729, 1571, 8464, 1603, 6293, 3863, 1072, 1784, 33, 1096, 2328, 3960, 2373, 31171, 626, 1571, 25968, 1048, 8464, 5898, 1664, 1132, 2250, 1006, 4855, 1026, 1235, 16871, 1009, 28542, 1054, 3653, 1187, 29076, 3682, 1091, 4666, 2373, 31171, 4324, 8464, 29340, 1026, 1784, 1005, 25781, 1006, 12797, 1026, 8484, 27261, 1495, 1048, 1026, 3266, 8464, 2373, 1117, 1420, 2289, 1054, 1664, 626, 1071, 5151, 20, 3404, 13747, 41, 13411, 22671, 8562, 29177, 1054, 23819, 1114, 7397, 1627, 1124, 4496, 4874, 1898, 698, 2494, 3028, 23375, 3263, 1356, 5108, 1884, 1191, 4732, 1927, 3863, 2373, 71, 6728, 1006, 1048, 18657, 10336, 8226, 1063, 5746, 29584, 1009, 8464, 1096, 1006, 10695, 1060, 3028, 3486, 5746, 18699, 24160, 6779, 1508, 1043, 2200, 1044, 2373, 31171, 4324, 20137, 1233, 1834, 16142, 1377, 4378, 10091, 1225, 1009, 2997, 8396, 1006, 3722, 1009, 8086, 1006, 2042, 1005, 1009, 17716, 1479, 4850, 1271, 8272, 1479, 4666, 3439, 1049, 3445, 1005, 1060, 7350, 3225, 1048, 8464, 31874, 1059, 698, 1119, 15290, 1048, 19412, 1751, 1049, 2373, 31171, 1009, 8464, 626, 3901, 1048, 10894, 6313, 3552, 2229, 18680, 3225, 1043, 2200, 1005, 1048, 5645, 2229, 18680, 13326, 1229, 1006, 1752, 1700, 4289, 1006, 1834, 1048, 1294, 5565, 1377, 17004, 1339, 1126, 8536, 6313, 1054, 2229, 78, 1627, 1054, 21652, 3225, 1043, 1664, 1132, 3794, 28622, 3948, 1049, 1592, 12628, 5565, 1166, 1357, 2921, 1834, 1059, 698, 1119, 15290, 1048, 1006, 4482, 1096, 1026, 2373, 1212, 1014, 4852, 626, 1009, 8464, 3901, 1048, 4319, 1006, 17688, 1009, 9732, 2705, 17902, 1009, 1650, 5373, 624, 53, 3863, 1072, 5108, 1009, 4480, 1233, 16142, 4641, 1026, 16871, 1009, 21289, 1048, 2200, 2845, 1054, 3653, 1187, 29076, 5841, 8161, 1998, 8285, 2697, 1140, 20960, 1356, 20961, 1005, 1357, 25175, 1187, 5082, 5600, 8464, 1234, 2373, 1036, 1054, 1664, 626, 5735, 43, 4503, 20424, 3801, 1479, 1207, 1375, 11587, 3531, 19, 3989, 33, 9930, 1442, 20159, 6266, 2836, 1178, 18936, 1054, 9438, 1233, 3388, 1308, 2982, 4186, 59, 3726, 1479, 1082, 90, 21140, 1442, 1377, 1404, 72, 6593, 1045, 91, 2275, 1387, 1045, 91, 1034, 10435, 1131, 1005, 7786, 1214, 1664, 1132, 7912, 1229, 1919, 1026, 7762, 31019, 3074, 1927, 1884, 10733, 1495, 1213, 2822, 1187, 5635, 1833, 60, 2805, 45, 4186, 10717, 1479, 1142, 73, 19389, 6259, 7942, 25, 7985, 4033, 4248, 23678, 7765, 5412, 1679, 1456, 30890, 1898, 113, 6107, 150, 4823, 1048, 1026, 13319, 1242, 2284, 1009, 12716, 1005, 1009, 31940, 1698, 1187, 9778, 1213, 5064, 1531, 27389, 1048, 2284, 1009, 1178, 1244, 13302, 1054, 1235, 1720, 1026, 23783, 1337, 1005, 1026, 29755, 1187, 6886, 1166, 29384, 2252, 1124, 1114, 4650, 12012, 1118, 19588, 6153, 1417, 1015, 3834, 26359, 5816, 9493, 16179, 10259, 3877, 1063, 4033, 1048, 1195, 9491, 1188, 1118, 2092, 14783, 20, 1505, 3005, 3738, 1089, 1114, 1641, 2007, 28048, 1048, 1058, 80, 1102, 13256, 1402, 1043, 1006, 3722, 1049, 3910, 121, 15017, 5412, 4715, 1132, 30890, 1495, 3994, 1009, 14245, 5213, 2170, 14696, 1819, 1124, 20769, 18041, 1079, 10113, 22566, 1132, 18041, 7913, 5, 2162, 1593, 1079, 19, 2202, 4313, 1005, 1195, 12929, 1213, 30226, 20, 5126, 16197, 9446, 1371, 5615, 1009, 5412, 2007, 75, 1846, 21020, 1068, 19588, 1043, 1807, 6882, 1833, 3586, 23054, 1072, 12916, 1100, 1080, 1444, 1127, 1819, 1006, 3219, 1533, 51, 11040, 11365, 1605, 22816, 1009, 3004, 2594, 71, 8396, 1072, 1531, 1009, 22467, 1377, 8464, 1566, 1058, 14857, 1079, 1679, 30890, 1009, 1084, 1183, 1775, 3995, 4794, 1142, 73, 19389, 3612, 19, 4673, 15, 1005, 1679, 2488, 22463, 3332, 1402, 1072, 4609, 9667, 3995, 4794, 1142, 73, 19389, 4994, 19, 7157, 1565, 1776, 3407, 1048, 1294, 1096, 1109, 29960, 2203, 7651, 1124, 9078, 8854, 1009, 5412, 3995, 4794, 1142, 73, 19389, 5402, 19, 5900, 15, 1005, 1006, 12447, 3995, 4794, 1142, 73, 19389, 2704, 7942, 5463, 10948, 7462, 1187, 2373, 7283, 2184, 4324, 5746, 18699, 5823, 23016, 1009, 5412, 31940, 4039, 1679, 30890, 1005, 12447, 1327, 15627, 1479, 2307, 1479, 1072, 1592, 4604, 1026, 1048, 3449, 1184, 2553, 73, 1164, 1049, 3311, 1009, 4350, 1395, 7261, 32, 5746, 29584, 1005, 12447, 1160, 1058, 1693, 8421, 1787, 33, 1327, 1657, 5480, 20440, 1009, 4347, 1060, 7530, 1060, 3248, 1233, 1834, 24135, 3994, 1009, 3219, 3021, 17545, 28041, 1605, 2930, 3407, 1325, 13831, 1054, 2156, 5314, 32, 12215, 1236, 1187, 30890, 1071, 5151, 20, 12234, 19, 5900, 15, 1005, 12447, 1071, 5151, 20, 3886, 7942, 5463, 6033, 1944, 1751, 1225, 1229, 5819, 1124, 2880, 1009, 12215, 1236, 1009, 5412, 20, 1766, 30890, 1048, 6470, 1006, 3513, 1049, 5317, 4987, 1043, 5412, 31940, 4039, 1327, 2364, 10300, 1166, 1068, 1006, 6280, 32, 5412, 10259, 10113, 1159, 9732, 12223, 1006, 1244, 1645, 1006, 13853, 1071, 625, 6265, 1577, 1034, 626, 1479, 1006, 11174, 23903, 1060, 5297, 1060, 10712, 2485, 1187, 3408, 15, 1005, 1026, 29755, 1187, 6886, 1166, 5838, 4473, 1026, 11829, 1009, 1048, 3219, 6722, 1664, 1132, 4031, 1005, 1132, 26881, 1006, 3417, 1026, 20176, 29886, 1026, 11274, 1005, 1006, 6003, 3498, 91, 15633, 1068, 7955, 1656, 1094, 1834, 1009, 29074, 22875, 1565, 1972, 2237, 8161, 2588, 3017, 1132, 30890, 9577, 1043, 1006, 3629, 1005, 1006, 8377, 1049, 8460, 20, 14429, 8536, 9175, 1664, 1132, 3974, 28285, 1048, 2177, 1006, 14279, 6280, 1060, 15336, 11696, 1138, 20961, 7212, 14895, 4597, 1159, 5054, 5046, 1006, 3248, 1005, 5746, 29584, 1009, 16840, 1026, 13319, 1242, 11637, 1348, 10331, 2691, 2726, 3716, 1071, 5151, 20, 1422, 2567, 6259, 1565, 7731, 15355, 4028, 2237, 5576, 1976, 1178, 19446, 1006, 2252, 1124, 15005, 20, 3204, 2373, 13925, 3393, 626, 2177, 5174, 4039, 1072, 3066, 1187, 2373, 7283, 2184, 626, 6033, 2750, 12721, 11069, 7622, 1006, 10959, 23148, 11843, 1054, 14245, 21666, 6126, 2156, 12493, 1009, 11069, 1048, 1966, 2733, 156, 3144, 1063, 1944, 1096, 1006, 27394, 1055, 1048, 5412, 4145, 1679, 30890, 1996, 1009, 1848, 1068, 3994, 1049, 14783, 32, 2122, 27394, 1055, 10863, 1044, 2928, 1048, 3904, 1009, 3219, 1005, 1048, 1744, 10020, 4286, 3830, 2693, 1006, 1834, 1005, 2693, 1006, 25175, 1187, 19504, 9680, 3233, 8003, 1068, 1006, 6280, 1357, 3722, 1009, 17002, 1063, 2750, 1096, 1006, 6882, 1187, 30890, 32, 1006, 6882, 1096, 1026, 1807, 6550, 1025, 1262, 79, 7303, 1005, 1448, 1065, 7261, 33, 9083, 1048, 1026, 1784, 2017, 1566, 2845, 18, 2340, 1026, 16871, 8112, 1348, 1005, 11637, 1348, 1009, 3219, 1325, 1054, 20910, 1533, 41, 13411, 22671, 8562, 4073, 1006, 7397, 1627, 8316, 1124, 4496, 12493, 1898, 698, 1063, 5746, 29584, 21, 2812, 3029, 1009, 5412, 26881, 8396, 1006, 1419, 1006, 1834, 1043, 1734, 4101, 1479, 1132, 4101, 1060, 6728, 20, 20395, 8396, 1048, 1026, 2661, 1610, 2016, 1006, 8027, 5823, 1026, 675, 1628, 2037, 1006, 12665, 1160, 1327, 1006, 3808, 5133, 1068, 5149, 1026, 6980, 1049, 2930, 3439, 33, 1919, 8396, 1048, 1072, 1852, 1009, 1044, 3439, 5734, 18325, 1114, 1049, 2094, 1114, 9656, 1126, 1072, 3445, 29326, 1495, 1726, 9078, 11335, 18, 1325, 1006, 1834, 8375, 5160, 1006, 1834, 1009, 2229, 18680, 1043, 17002, 4378, 6728, 4279, 8396, 8086, 1026, 19187, 1132, 3794, 8654, 16495, 1026, 23626, 1065, 5120, 1026, 20176, 14358, 1187, 1381, 75, 2650, 1009, 23127, 1005, 4279, 8396, 6530, 1043, 19334, 1149, 1068, 1989, 2073, 3616, 1009, 2017, 1048, 1294, 2540, 18, 1068, 1989, 4409, 1009, 1834, 16126, 1048, 1096, 1026, 2930, 5675, 1852, 1059, 698, 1063, 12447, 1009, 5412, 2170, 27758, 1124, 2880, 9107, 1009, 16840, 1048, 10300, 1046, 1132, 30890, 1068, 1006, 25869, 18271, 1006, 3028, 6443, 1114, 3649, 3960, 1784, 2017, 1571, 2205, 1497, 1006, 8555, 1005, 1006, 5545, 33, 18271, 1048, 1006, 5576, 11637, 3013, 1048, 5412, 2521, 1006, 1664, 1132, 4031, 1325, 2364, 1463, 5426, 6000, 1005, 1048, 1096, 3028, 6443, 1650, 8357, 6386, 33, 18271, 1048, 12356, 1132, 13220, 1009, 16840, 4319, 1009, 2197, 4492, 1043, 1026, 8679, 1009, 1664, 1132, 7872, 1026, 2017, 8190, 1005, 1006, 2360, 26843, 17287, 17576, 1009, 2317, 4776, 2237, 6443, 37, 2804, 4023, 13163, 8396, 1054, 4531, 6386, 1072, 1784, 1132, 10149, 1010, 11637, 1544, 1009, 8464, 37, 18794, 1800, 2197, 4492, 1072, 1531, 1006, 4604, 1989, 1784, 2017, 1009, 25934, 1009, 17499, 1227, 2485, 1009, 6685, 1005, 1009, 5545, 3900, 698, 1063, 6882, 1048, 4442, 1294, 4101, 1005, 1294, 14675, 5473, 30890, 1048, 9732, 3847, 1006, 3583, 24135, 1009, 5412, 1114, 1834, 1009, 3219, 1225, 1009, 1178, 1094, 6386, 1048, 14672, 1197, 1114, 3028, 8150, 1766, 13220, 1009, 16840, 10672, 1166, 1357, 25892, 2643, 1009, 9732, 78, 1930, 1043, 1006, 1224, 18924, 1006, 5391, 1009, 1048, 1132, 2540, 18, 1072, 1852, 1049, 13283, 1006, 1834, 1054, 16142, 4641, 33, 1005, 2643, 1009, 9732, 78, 1930, 1043, 1006, 1224, 18924, 1006, 5391, 1009, 1048, 1026, 16871, 8112, 1348, 1005, 11637, 1348, 1009, 3219, 1325, 1006, 11754, 1024, 1072, 5108, 1325, 1006, 10927, 1132, 14675, 1005, 1124, 1025, 4837, 1325, 1006, 1663, 4274, 1870, 1531, 1006, 4604, 1026, 11771, 6969, 1533, 50, 45, 9835, 2545, 12903, 45, 9355, 12175, 7554, 28955, 26004, 10473, 1138, 29035, 13086, 53, 6764, 1063, 7844, 17545, 3402, 1071, 1140, 1722, 1312, 1009, 23237, 1560, 1018, 27661, 2363, 80, 2356, 74, 624, 78, 2304, 626, 1308, 2023, 1063, 1073, 2982, 11743, 4071, 1082, 5237, 4503, 13096, 21920, 1142, 2581, 24552, 6764, 20257, 23497, 10948, 2729, 1187, 2250, 1060, 3757, 3388, 1213, 24208, 1060, 2034, 73, 23148, 7508, 1860, 1698, 1006, 23426, 1009, 3219, 3019, 5550, 1667, 3777, 1041, 8357, 1454, 4424, 1094, 5655, 1054, 1752, 4604, 1118, 2991, 0, 9125, 2048, 1044, 1531, 1060, 3757, 1068, 1006, 24815, 2229, 8194, 1060, 23426, 32, 2730, 2417, 1060, 31085, 1411, 2730, 2417, 1009, 6727, 2106, 2730, 2417, 1009, 7328, 14674, 1723, 10737, 3552, 4668, 13555, 0, 21458, 1698, 18, 27758, 1006, 3757, 1068, 6313, 1054, 17778, 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 ]

[ 1026, 14783, 1225, 1622, 1068, 4855, 2122, 2373, 7634, 2319, 626, 1071, 2575, 6071, 14536, 1679, 5082, 1347, 1006, 1834, 29672, 1159, 16401, 15, 1096, 1026, 1048, 1264, 2521, 1043, 5412, 8464, 32, 31940, 5233, 9706, 1005, 21380, 9706, 1233, 1224, 8643, 1071, 5151, 20, 1158, 1349, 1141, 1029, 3506, 9706, 1005, 3765, 5537, 1208, 25457, 1322, 1664, 1132, 11262, 7774, 2570, 1391, 2645, 18512, 1325, 22591, 1043, 1006, 31338, 8509, 1009, 2088, 14262, 1054, 2997, 1094, 4493, 16802, 13934, 1679, 1210, 80, 1229, 14738, 19, 1229, 1495, 18, 4109, 1009, 8464, 1479, 1011, 4794, 2346, 3646, 28, 1565, 5841, 25457, 1668, 7859, 18, 19045, 1233, 4482, 1479, 1026, 2373, 31171, 626, 1049, 1428, 8464, 1096, 1006, 2373, 17233, 2885, 8226, 1138, 1184, 10745, 3019, 3407, 6071, 1760, 3240, 1668, 3810, 30533, 1063, 4840, 1009, 1048, 1006, 4668, 12767, 1096, 1044, 2373, 31171, 626, 1479, 1026, 2373, 31171, 1009, 8464, 626, 1479, 9110, 1118, 2653, 28949, 1566, 2284, 2551, 6295, 1463, 3056, 3525, 1273, 19548, 8348, 11132, 1006, 2869, 1187, 2539, 3948, 1049, 2373, 31171, 626, 1365, 4384, 3995, 4794, 1083, 3258, 8856, 2944, 8704, 33, 12430, 3487, 15084, 33, 23, 2084, 2944, 29319, 33, 3394, 12505, 25, 8221, 3929, 1309, 1463, 12038, 1049, 13545, 3478, 2434, 1745, 4852, 1006, 16051, 1009, 2373, 31171, 1009, 8464, 626, 1068, 13393, 1507, 4492, 27758, 1322, 1006, 2869, 1048, 4292, 1365, 1006, 4668, 1005, 8464, 19176, 15599, 1054, 10992, 1100, 1837, 1791, 10883, 1493, 21628, 1068, 5149, 1026, 6980, 1060, 2869, 1365, 8464, 1005, 1006, 4482, 32, 1026, 1009, 2373, 17233, 2885, 626, 1005, 1026, 1009, 2373, 1212, 1051, 4641, 626, 4932, 11394, 1100, 2373, 1212, 1014, 4852, 626, 3377, 42, 15290, 1048, 8464, 1096, 1006, 2373, 17233, 2885, 626, 1060, 4482, 3927, 1126, 1996, 1009, 8435, 1048, 1132, 1791, 14360, 1094, 4668, 1634, 1398, 1078, 175, 1267, 1005, 1048, 1837, 1365, 1132, 1791, 1094, 2229, 18680, 3225, 1009, 1834, 1005, 1009, 5675, 33, 3927, 1126, 8536, 1048, 8464, 1096, 1026, 3709, 1233, 2922, 1049, 1428, 1026, 2373, 31171, 626, 1058, 9065, 9642, 1006, 2323, 1049, 1428, 1005, 1054, 19341, 1213, 1428, 1026, 2373, 31171, 626, 4973, 12203, 1058, 4352, 71, 1005, 1644, 88, 12029, 1006, 4599, 1005, 1026, 2822, 3960, 2373, 31171, 626, 33, 3927, 1126, 10204, 1048, 1006, 4482, 21, 626, 31171, 626, 1325, 11916, 1236, 1233, 15273, 1979, 1006, 8464, 21, 626, 17233, 2885, 626, 32, 1998, 1009, 8464, 1006, 4482, 8294, 1005, 1998, 1006, 2200, 1976, 15273, 1979, 3590, 15290, 1048, 1006, 4482, 1096, 1006, 2373, 1212, 1051, 4641, 626, 1071, 625, 1212, 1014, 4852, 626, 15, 1009, 8464, 3901, 3754, 1048, 17136, 25968, 1006, 2373, 1212, 1051, 4641, 4324, 1006, 2373, 23922, 1149, 626, 1009, 5303, 1667, 3720, 1096, 1026, 17171, 2137, 6864, 1006, 27729, 1571, 8464, 1603, 6293, 3863, 1072, 1784, 33, 1096, 2328, 3960, 2373, 31171, 626, 1571, 25968, 1048, 8464, 5898, 1664, 1132, 2250, 1006, 4855, 1026, 1235, 16871, 1009, 28542, 1054, 3653, 1187, 29076, 3682, 1091, 4666, 2373, 31171, 4324, 8464, 29340, 1026, 1784, 1005, 25781, 1006, 12797, 1026, 8484, 27261, 1495, 1048, 1026, 3266, 8464, 2373, 1117, 1420, 2289, 1054, 1664, 626, 1071, 5151, 20, 3404, 13747, 41, 13411, 22671, 8562, 29177, 1054, 23819, 1114, 7397, 1627, 1124, 4496, 4874, 1898, 698, 2494, 3028, 23375, 3263, 1356, 5108, 1884, 1191, 4732, 1927, 3863, 2373, 71, 6728, 1006, 1048, 18657, 10336, 8226, 1063, 5746, 29584, 1009, 8464, 1096, 1006, 10695, 1060, 3028, 3486, 5746, 18699, 24160, 6779, 1508, 1043, 2200, 1044, 2373, 31171, 4324, 20137, 1233, 1834, 16142, 1377, 4378, 10091, 1225, 1009, 2997, 8396, 1006, 3722, 1009, 8086, 1006, 2042, 1005, 1009, 17716, 1479, 4850, 1271, 8272, 1479, 4666, 3439, 1049, 3445, 1005, 1060, 7350, 3225, 1048, 8464, 31874, 1059, 698, 1119, 15290, 1048, 19412, 1751, 1049, 2373, 31171, 1009, 8464, 626, 3901, 1048, 10894, 6313, 3552, 2229, 18680, 3225, 1043, 2200, 1005, 1048, 5645, 2229, 18680, 13326, 1229, 1006, 1752, 1700, 4289, 1006, 1834, 1048, 1294, 5565, 1377, 17004, 1339, 1126, 8536, 6313, 1054, 2229, 78, 1627, 1054, 21652, 3225, 1043, 1664, 1132, 3794, 28622, 3948, 1049, 1592, 12628, 5565, 1166, 1357, 2921, 1834, 1059, 698, 1119, 15290, 1048, 1006, 4482, 1096, 1026, 2373, 1212, 1014, 4852, 626, 1009, 8464, 3901, 1048, 4319, 1006, 17688, 1009, 9732, 2705, 17902, 1009, 1650, 5373, 624, 53, 3863, 1072, 5108, 1009, 4480, 1233, 16142, 4641, 1026, 16871, 1009, 21289, 1048, 2200, 2845, 1054, 3653, 1187, 29076, 5841, 8161, 1998, 8285, 2697, 1140, 20960, 1356, 20961, 1005, 1357, 25175, 1187, 5082, 5600, 8464, 1234, 2373, 1036, 1054, 1664, 626, 5735, 43, 4503, 20424, 3801, 1479, 1207, 1375, 11587, 3531, 19, 3989, 33, 9930, 1442, 20159, 6266, 2836, 1178, 18936, 1054, 9438, 1233, 3388, 1308, 2982, 4186, 59, 3726, 1479, 1082, 90, 21140, 1442, 1377, 1404, 72, 6593, 1045, 91, 2275, 1387, 1045, 91, 1034, 10435, 1131, 1005, 7786, 1214, 1664, 1132, 7912, 1229, 1919, 1026, 7762, 31019, 3074, 1927, 1884, 10733, 1495, 1213, 2822, 1187, 5635, 1833, 60, 2805, 45, 4186, 10717, 1479, 1142, 73, 19389, 6259, 7942, 25, 7985, 4033, 4248, 23678, 7765, 5412, 1679, 1456, 30890, 1898, 113, 6107, 150, 4823, 1048, 1026, 13319, 1242, 2284, 1009, 12716, 1005, 1009, 31940, 1698, 1187, 9778, 1213, 5064, 1531, 27389, 1048, 2284, 1009, 1178, 1244, 13302, 1054, 1235, 1720, 1026, 23783, 1337, 1005, 1026, 29755, 1187, 6886, 1166, 29384, 2252, 1124, 1114, 4650, 12012, 1118, 19588, 6153, 1417, 1015, 3834, 26359, 5816, 9493, 16179, 10259, 3877, 1063, 4033, 1048, 1195, 9491, 1188, 1118, 2092, 14783, 20, 1505, 3005, 3738, 1089, 1114, 1641, 2007, 28048, 1048, 1058, 80, 1102, 13256, 1402, 1043, 1006, 3722, 1049, 3910, 121, 15017, 5412, 4715, 1132, 30890, 1495, 3994, 1009, 14245, 5213, 2170, 14696, 1819, 1124, 20769, 18041, 1079, 10113, 22566, 1132, 18041, 7913, 5, 2162, 1593, 1079, 19, 2202, 4313, 1005, 1195, 12929, 1213, 30226, 20, 5126, 16197, 9446, 1371, 5615, 1009, 5412, 2007, 75, 1846, 21020, 1068, 19588, 1043, 1807, 6882, 1833, 3586, 23054, 1072, 12916, 1100, 1080, 1444, 1127, 1819, 1006, 3219, 1533, 51, 11040, 11365, 1605, 22816, 1009, 3004, 2594, 71, 8396, 1072, 1531, 1009, 22467, 1377, 8464, 1566, 1058, 14857, 1079, 1679, 30890, 1009, 1084, 1183, 1775, 3995, 4794, 1142, 73, 19389, 3612, 19, 4673, 15, 1005, 1679, 2488, 22463, 3332, 1402, 1072, 4609, 9667, 3995, 4794, 1142, 73, 19389, 4994, 19, 7157, 1565, 1776, 3407, 1048, 1294, 1096, 1109, 29960, 2203, 7651, 1124, 9078, 8854, 1009, 5412, 3995, 4794, 1142, 73, 19389, 5402, 19, 5900, 15, 1005, 1006, 12447, 3995, 4794, 1142, 73, 19389, 2704, 7942, 5463, 10948, 7462, 1187, 2373, 7283, 2184, 4324, 5746, 18699, 5823, 23016, 1009, 5412, 31940, 4039, 1679, 30890, 1005, 12447, 1327, 15627, 1479, 2307, 1479, 1072, 1592, 4604, 1026, 1048, 3449, 1184, 2553, 73, 1164, 1049, 3311, 1009, 4350, 1395, 7261, 32, 5746, 29584, 1005, 12447, 1160, 1058, 1693, 8421, 1787, 33, 1327, 1657, 5480, 20440, 1009, 4347, 1060, 7530, 1060, 3248, 1233, 1834, 24135, 3994, 1009, 3219, 3021, 17545, 28041, 1605, 2930, 3407, 1325, 13831, 1054, 2156, 5314, 32, 12215, 1236, 1187, 30890, 1071, 5151, 20, 12234, 19, 5900, 15, 1005, 12447, 1071, 5151, 20, 3886, 7942, 5463, 6033, 1944, 1751, 1225, 1229, 5819, 1124, 2880, 1009, 12215, 1236, 1009, 5412, 20, 1766, 30890, 1048, 6470, 1006, 3513, 1049, 5317, 4987, 1043, 5412, 31940, 4039, 1327, 2364, 10300, 1166, 1068, 1006, 6280, 32, 5412, 10259, 10113, 1159, 9732, 12223, 1006, 1244, 1645, 1006, 13853, 1071, 625, 6265, 1577, 1034, 626, 1479, 1006, 11174, 23903, 1060, 5297, 1060, 10712, 2485, 1187, 3408, 15, 1005, 1026, 29755, 1187, 6886, 1166, 5838, 4473, 1026, 11829, 1009, 1048, 3219, 6722, 1664, 1132, 4031, 1005, 1132, 26881, 1006, 3417, 1026, 20176, 29886, 1026, 11274, 1005, 1006, 6003, 3498, 91, 15633, 1068, 7955, 1656, 1094, 1834, 1009, 29074, 22875, 1565, 1972, 2237, 8161, 2588, 3017, 1132, 30890, 9577, 1043, 1006, 3629, 1005, 1006, 8377, 1049, 8460, 20, 14429, 8536, 9175, 1664, 1132, 3974, 28285, 1048, 2177, 1006, 14279, 6280, 1060, 15336, 11696, 1138, 20961, 7212, 14895, 4597, 1159, 5054, 5046, 1006, 3248, 1005, 5746, 29584, 1009, 16840, 1026, 13319, 1242, 11637, 1348, 10331, 2691, 2726, 3716, 1071, 5151, 20, 1422, 2567, 6259, 1565, 7731, 15355, 4028, 2237, 5576, 1976, 1178, 19446, 1006, 2252, 1124, 15005, 20, 3204, 2373, 13925, 3393, 626, 2177, 5174, 4039, 1072, 3066, 1187, 2373, 7283, 2184, 626, 6033, 2750, 12721, 11069, 7622, 1006, 10959, 23148, 11843, 1054, 14245, 21666, 6126, 2156, 12493, 1009, 11069, 1048, 1966, 2733, 156, 3144, 1063, 1944, 1096, 1006, 27394, 1055, 1048, 5412, 4145, 1679, 30890, 1996, 1009, 1848, 1068, 3994, 1049, 14783, 32, 2122, 27394, 1055, 10863, 1044, 2928, 1048, 3904, 1009, 3219, 1005, 1048, 1744, 10020, 4286, 3830, 2693, 1006, 1834, 1005, 2693, 1006, 25175, 1187, 19504, 9680, 3233, 8003, 1068, 1006, 6280, 1357, 3722, 1009, 17002, 1063, 2750, 1096, 1006, 6882, 1187, 30890, 32, 1006, 6882, 1096, 1026, 1807, 6550, 1025, 1262, 79, 7303, 1005, 1448, 1065, 7261, 33, 9083, 1048, 1026, 1784, 2017, 1566, 2845, 18, 2340, 1026, 16871, 8112, 1348, 1005, 11637, 1348, 1009, 3219, 1325, 1054, 20910, 1533, 41, 13411, 22671, 8562, 4073, 1006, 7397, 1627, 8316, 1124, 4496, 12493, 1898, 698, 1063, 5746, 29584, 21, 2812, 3029, 1009, 5412, 26881, 8396, 1006, 1419, 1006, 1834, 1043, 1734, 4101, 1479, 1132, 4101, 1060, 6728, 20, 20395, 8396, 1048, 1026, 2661, 1610, 2016, 1006, 8027, 5823, 1026, 675, 1628, 2037, 1006, 12665, 1160, 1327, 1006, 3808, 5133, 1068, 5149, 1026, 6980, 1049, 2930, 3439, 33, 1919, 8396, 1048, 1072, 1852, 1009, 1044, 3439, 5734, 18325, 1114, 1049, 2094, 1114, 9656, 1126, 1072, 3445, 29326, 1495, 1726, 9078, 11335, 18, 1325, 1006, 1834, 8375, 5160, 1006, 1834, 1009, 2229, 18680, 1043, 17002, 4378, 6728, 4279, 8396, 8086, 1026, 19187, 1132, 3794, 8654, 16495, 1026, 23626, 1065, 5120, 1026, 20176, 14358, 1187, 1381, 75, 2650, 1009, 23127, 1005, 4279, 8396, 6530, 1043, 19334, 1149, 1068, 1989, 2073, 3616, 1009, 2017, 1048, 1294, 2540, 18, 1068, 1989, 4409, 1009, 1834, 16126, 1048, 1096, 1026, 2930, 5675, 1852, 1059, 698, 1063, 12447, 1009, 5412, 2170, 27758, 1124, 2880, 9107, 1009, 16840, 1048, 10300, 1046, 1132, 30890, 1068, 1006, 25869, 18271, 1006, 3028, 6443, 1114, 3649, 3960, 1784, 2017, 1571, 2205, 1497, 1006, 8555, 1005, 1006, 5545, 33, 18271, 1048, 1006, 5576, 11637, 3013, 1048, 5412, 2521, 1006, 1664, 1132, 4031, 1325, 2364, 1463, 5426, 6000, 1005, 1048, 1096, 3028, 6443, 1650, 8357, 6386, 33, 18271, 1048, 12356, 1132, 13220, 1009, 16840, 4319, 1009, 2197, 4492, 1043, 1026, 8679, 1009, 1664, 1132, 7872, 1026, 2017, 8190, 1005, 1006, 2360, 26843, 17287, 17576, 1009, 2317, 4776, 2237, 6443, 37, 2804, 4023, 13163, 8396, 1054, 4531, 6386, 1072, 1784, 1132, 10149, 1010, 11637, 1544, 1009, 8464, 37, 18794, 1800, 2197, 4492, 1072, 1531, 1006, 4604, 1989, 1784, 2017, 1009, 25934, 1009, 17499, 1227, 2485, 1009, 6685, 1005, 1009, 5545, 3900, 698, 1063, 6882, 1048, 4442, 1294, 4101, 1005, 1294, 14675, 5473, 30890, 1048, 9732, 3847, 1006, 3583, 24135, 1009, 5412, 1114, 1834, 1009, 3219, 1225, 1009, 1178, 1094, 6386, 1048, 14672, 1197, 1114, 3028, 8150, 1766, 13220, 1009, 16840, 10672, 1166, 1357, 25892, 2643, 1009, 9732, 78, 1930, 1043, 1006, 1224, 18924, 1006, 5391, 1009, 1048, 1132, 2540, 18, 1072, 1852, 1049, 13283, 1006, 1834, 1054, 16142, 4641, 33, 1005, 2643, 1009, 9732, 78, 1930, 1043, 1006, 1224, 18924, 1006, 5391, 1009, 1048, 1026, 16871, 8112, 1348, 1005, 11637, 1348, 1009, 3219, 1325, 1006, 11754, 1024, 1072, 5108, 1325, 1006, 10927, 1132, 14675, 1005, 1124, 1025, 4837, 1325, 1006, 1663, 4274, 1870, 1531, 1006, 4604, 1026, 11771, 6969, 1533, 50, 45, 9835, 2545, 12903, 45, 9355, 12175, 7554, 28955, 26004, 10473, 1138, 29035, 13086, 53, 6764, 1063, 7844, 17545, 3402, 1071, 1140, 1722, 1312, 1009, 23237, 1560, 1018, 27661, 2363, 80, 2356, 74, 624, 78, 2304, 626, 1308, 2023, 1063, 1073, 2982, 11743, 4071, 1082, 5237, 4503, 13096, 21920, 1142, 2581, 24552, 6764, 20257, 23497, 10948, 2729, 1187, 2250, 1060, 3757, 3388, 1213, 24208, 1060, 2034, 73, 23148, 7508, 1860, 1698, 1006, 23426, 1009, 3219, 3019, 5550, 1667, 3777, 1041, 8357, 1454, 4424, 1094, 5655, 1054, 1752, 4604, 1118, 2991, 0, 9125, 2048, 1044, 1531, 1060, 3757, 1068, 1006, 24815, 2229, 8194, 1060, 23426, 32, 2730, 2417, 1060, 31085, 1411, 2730, 2417, 1009, 6727, 2106, 2730, 2417, 1009, 7328, 14674, 1723, 10737, 3552, 4668, 13555, 0, 21458, 1698, 18, 27758, 1006, 3757, 1068, 6313, 1054, 17778, 1006 ]

[ 2574, 1184, 1009, 3771, 4686, 1009, 30090, 20845, 2233, 13968, 1132, 1204, 4686, 26039, 10951, 1068, 14644, 1322, 12207, 20, 2200, 15612, 2698, 1006, 5660, 1009, 5493, 1161, 5500, 5616, 1054, 1050, 14424, 1072, 6402, 1005, 4979, 1048, 1006, 7764, 1994, 1937, 1305, 2033, 1273, 2247, 1009, 1178, 1687, 3486, 4538, 1140, 1054, 1094, 2700, 1009, 12246, 158, 1408, 1554, 7377, 4213, 3315, 3205, 1043, 25619, 84, 1411, 1048, 15249, 1717, 1006, 7764, 1160, 1327, 1009, 4961, 4114, 20, 20845, 2233, 2276, 21103, 1048, 1006, 7764, 12045, 2112, 1009, 14608, 4345, 1005, 1048, 14161, 1124, 21724, 1048, 1006, 17364, 1327, 1009, 4961, 2999, 1704, 6752, 4454, 18425, 1188, 32, 2373, 78, 150, 1791, 4267, 1009, 12685, 2950, 1006, 9282, 2858, 2671, 1048, 7389, 5740, 1132, 13832, 1009, 6942, 1233, 12207, 1005, 2143, 1048, 1132, 31613, 10230, 1802, 1766, 12685, 1049, 9214, 1596, 1132, 1048, 1184, 7389, 1087, 1975, 1132, 19933, 1048, 2627, 10783, 1233, 12207, 8226, 20845, 2233, 14585, 1620, 1048, 1006, 12207, 1114, 20959, 1160, 1096, 30413, 1096, 3774, 1961, 1309, 1048, 1998, 1195, 7621, 2309, 13832, 1009, 6942, 1006, 12207, 1048, 1026, 9214, 7289, 20, 14232, 12207, 1114, 31595, 4525, 1687, 3164, 1009, 5635, 1060, 17182, 5051, 20, 1551, 1493, 4248, 1058, 1299, 1160, 7389, 5740, 1132, 13832, 1048, 2627, 10783, 1299, 1160, 7932, 1006, 12207, 20, 1138, 3129, 1049, 2671, 1096, 17704, 3530, 19933, 8226, 7377, 4213, 1973, 1620, 1048, 1026, 1561, 10483, 1072, 13769, 1009, 6942, 1006, 24878, 2762, 1998, 7800, 1819, 1009, 3754, 1048, 1195, 8548, 1006, 5567, 4254, 1312, 1356, 9214, 18, 1159, 14585, 20845, 2233, 3021, 1065, 6253, 9230, 27636, 10148, 10998, 20845, 2233, 1195, 1026, 1184, 9537, 13991, 1365, 1132, 7607, 22285, 2445, 1072, 1180, 52, 27636, 10148, 10998, 2188, 31999, 20845, 2233, 24616, 6521, 1213, 7436, 2769, 27636, 10148, 10998, 7544, 15300, 1107, 19898, 12447, 1005, 20845, 2233, 1566, 6133, 1043, 2523, 11, 3996, 1019, 2233, 1620, 2521, 1006, 7764, 31457, 1130, 1124, 1558, 1016, 1049, 3266, 20974, 32, 1128, 4381, 1180, 1281, 1398, 3624, 1803, 14698, 29785, 4906, 23942, 1048, 1235, 6387, 2115, 1792, 1213, 27554, 1026, 3435, 1271, 3764, 9709, 1005, 1213, 18465, 1717, 1132, 7180, 9456, 9135, 7386, 1026, 9214, 1049, 1622, 1479, 1005, 1048, 17646, 1118, 1718, 28751, 1026, 1908, 1704, 6752, 1233, 11990, 29979, 1006, 6521, 9485, 1043, 1026, 4113, 15798, 2373, 5384, 2449, 5391, 1048, 1664, 1048, 1826, 1323, 22717, 1058, 3442, 1202, 1187, 2224, 1646, 1009, 3339, 4159, 5967, 11896, 1048, 3230, 10621, 1554, 7669, 11035, 1068, 6883, 1229, 2829, 13654, 20, 10770, 2601, 1800, 1158, 2744, 1009, 5435, 1554, 10770, 4800, 5392, 3987, 6647, 1005, 8402, 1800, 1026, 2743, 1048, 1566, 3765, 4918, 1068, 1026, 1561, 1178, 25377, 1009, 6969, 626, 5653, 1064, 16242, 16595, 4093, 26331, 2122, 10617, 26032, 2558, 1391, 13778, 82, 9858, 4053, 44, 25349, 20845, 2233, 45, 2843, 85, 48, 5941, 2769, 50, 1814, 1797, 7260, 1295, 1456, 1858, 4331, 1068, 4305, 1026, 31586, 1049, 9214, 9214, 2503, 12968, 2564, 1261, 19431, 1005, 23334, 10677, 2745, 1305, 2073, 4453, 1126, 1132, 23361, 51, 2428, 2818, 3175, 53, 1797, 1312, 90, 1439, 3275, 1785, 1077, 1691, 1065, 6253, 27048, 28016, 1006, 27677, 1049, 9568, 1049, 2670, 10790, 1114, 1062, 8131, 24, 2525, 1072, 27743, 1054, 2182, 8674, 28016, 1132, 5169, 1048, 28926, 1026, 2671, 1009, 11522, 1009, 10790, 1605, 1048, 1096, 1026, 1128, 2526, 1009, 19399, 1010, 1005, 1159, 1264, 15282, 1026, 1561, 33, 19246, 1026, 7930, 5166, 4511, 1580, 3008, 1814, 32, 23237, 6613, 1044, 3872, 6402, 1044, 3872, 20383, 1094, 1807, 13289, 626, 33, 19246, 1026, 9568, 1060, 4744, 3528, 1255, 6885, 23185, 1043, 1142, 9642, 2155, 19447, 1006, 5865, 10218, 1072, 1235, 8449, 22086, 1343, 1049, 9214, 2995, 1093, 1295, 2307, 16866, 1118, 3164, 1009, 2218, 1139, 1027, 16834, 96, 1545, 6391, 22831, 1545, 6391, 1079, 1410, 6041, 6391, 5329, 1545, 6391, 1165, 2361, 6391, 80, 11780, 6391, 80, 2815, 6391, 1183, 1047, 6391, 1182, 1943, 6391, 4013, 1370, 6391, 1546, 3055, 6391, 80, 2078, 6391, 1131, 96, 1545, 4579, 22831, 1545, 4579, 1079, 1410, 6041, 4579, 5329, 1545, 4579, 1165, 2361, 4579, 80, 11780, 4579, 80, 2815, 4579, 1183, 1047, 4579, 1182, 1943, 4579, 4013, 1370, 4579, 1546, 3055, 4579, 80, 2078, 4579, 1131, 96, 1545, 3209, 22831, 1545, 3209, 1079, 1410, 6041, 3209, 5329, 1545, 3209, 1165, 2361, 3209, 80, 11780, 3209, 80, 2815, 3209, 1183, 1047, 3209, 1182, 1943, 3209, 4013, 1370, 3209, 1546, 3055, 3209, 80, 2078, 3209, 1131, 96, 1545, 4229, 22831, 1545, 4229, 1079, 1410, 6041, 4229, 5329, 1545, 4229, 1165, 2361, 4229, 80, 11780, 4229, 80, 2815, 4229, 1183, 1047, 4229, 1182, 1943, 4229, 4013, 1370, 4229, 1546, 3055, 4229, 80, 2078, 4229, 1131, 96, 1545, 4053, 22831, 1545, 4053, 1079, 1410, 6041, 4053, 5329, 1545, 4053, 1165, 2361, 4053, 80, 11780, 4053, 80, 2815, 4053, 1183, 1047, 4053, 1182, 1943, 4053, 4013, 1370, 4053, 1546, 3055, 4053, 80, 2078, 4053, 1131, 96, 1545, 4161, 22831, 1545, 4161, 1079, 1410, 6041, 4161, 5329, 1545, 4161, 1165, 2361, 4161, 80, 11780, 4161, 80, 2815, 4161, 1183, 1047, 4161, 1182, 1943, 4161, 4013, 1370, 4161, 1546, 3055, 4161, 80, 2078, 4161, 1131, 96, 1545, 3973, 22831, 1545, 3973, 1079, 1410, 6041, 3973, 5329, 1545, 3973, 1165, 2361, 3973, 80, 11780, 3973, 80, 2815, 3973, 1183, 1047, 3973, 1182, 1943, 3973, 4013, 1370, 3973, 1546, 3055, 3973, 80, 2078, 3973, 1131, 96, 1545, 4210, 22831, 1545, 4210, 1079, 1410, 6041, 4210, 5329, 1545, 4210, 1165, 2361, 4210, 80, 11780, 4210, 80, 2815, 4210, 1183, 1047, 4210, 1182, 1943, 4210, 4013, 1370, 4210, 1546, 3055, 4210, 80, 2078, 4210, 1131, 96, 1545, 4152, 22831, 1545, 4152, 1079, 1410, 6041, 4152, 5329, 1545, 4152, 1165, 2361, 4152, 80, 11780, 4152, 80, 2815, 4152, 1183, 1047, 4152, 1182, 1943, 4152, 4013, 1370, 4152, 1546, 3055, 4152, 80, 2078, 4152, 1131, 96, 1545, 4119, 22831, 1545, 4119, 1079, 1410, 6041, 4119, 5329, 1545, 4119, 1165, 2361, 4119, 80, 11780, 4119, 80, 2815, 4119, 1183, 1047, 4119, 1182, 1943, 4119, 4013, 1370, 4119, 1131, 96, 1545, 3977, 5329, 1545, 3977, 80, 11780, 3977, 1183, 1047, 3977, 1182, 1943, 3977, 4013, 1370, 3977, 1546, 3055, 3977, 1079, 1410, 6041, 4127, 5329, 1545, 4127, 1165, 2361, 4127, 5329, 1545, 3837, 28625, 1024, 3008, 43, 3726, 1128, 3642, 40, 132, 51, 1898, 16767, 16930, 2686, 5322, 18803, 5821, 30124, 1006, 10790, 2476, 1139, 1410, 1112, 1060, 8116, 29490, 8914, 23, 9062, 19310, 20281, 1035, 1043, 25221, 1573, 5140, 3068, 15381, 1083, 0, 18, 1054, 8750, 20, 27298, 1318, 2572, 1057, 1491, 3131, 1049, 10511, 8407, 5, 9287, 5079, 1030, 6699, 10989, 26708, 19940, 29564, 16930, 12955, 1009, 12078, 11644, 13180, 6937, 21828, 1049, 25549, 1303, 1072, 18976, 2721, 8674, 19310, 27980, 15648, 1009, 24672, 4472, 10209, 1049, 2191, 16664, 4243, 1082, 1441, 18, 22750, 1048, 3568, 10404, 1195, 26251, 1140, 1072, 2671, 1009, 9581, 1005, 1048, 2373, 19870, 1079, 1006, 2283, 23623, 626, 5, 9287, 5079, 1030, 6699, 10989, 26708, 1691, 5468, 11644, 10222, 71, 7761, 1024, 1026, 10511, 8407, 11909, 5892, 7562, 1187, 6709, 1005, 3925, 1814, 1006, 5337, 5, 3459, 8674, 19310, 26582, 1049, 21834, 1005, 1060, 2711, 1029, 2485, 1026, 2285, 1009, 6709, 13643, 1657, 1026, 10511, 8407, 12814, 1009, 18208, 1068, 31752, 28, 8401, 3322, 6063, 1006, 18806, 1005, 1006, 17294, 1072, 1908, 5, 9287, 5079, 1030, 6699, 10989, 26708, 1383, 17500, 6416, 2544, 89, 1009, 6942, 1213, 25549, 1303, 1596, 5263, 6397, 1118, 9581, 5, 3459, 8674, 19310, 3141, 1045, 5094, 1049, 16660, 59, 13658, 1048, 5629, 12524, 1312, 1114, 5110, 2712, 1617, 1024, 1291, 12489, 1044, 3910, 4461, 1068, 1026, 6402, 9225, 1026, 2788, 1049, 23163, 1009, 5180, 1346, 5, 9287, 5079, 1030, 6699, 10989, 26708, 1691, 5468, 11644, 3564, 1108, 1020, 13537, 2373, 19881, 29189, 1009, 1807, 25277, 1060, 4263, 1068, 3871, 9738, 1060, 26319, 16442, 11185, 626, 5, 2708, 8674, 19310, 1576, 1074, 1038, 1893, 3267, 1049, 9214, 18, 27736, 26427, 28612, 22111, 1884, 2607, 2779, 1068, 26139, 26319, 1005, 26179, 15756, 2952, 9189, 1069, 1118, 9581, 5, 9287, 5079, 1030, 6699, 10989, 26708, 19940, 14996, 4816, 17326, 90, 1724, 1508, 9983, 10956, 1005, 9879, 9839, 1009, 2303, 1043, 1006, 3028, 9598, 1009, 25227, 2170, 1213, 5711, 5016, 6058, 1299, 21113, 1043, 6546, 4034, 9390, 76, 1706, 2765, 1009, 9983, 4517, 5794, 3924, 1691, 1056, 2694, 15712, 1940, 30551, 1576, 11941, 24128, 18316, 7665, 2555, 13272, 13540, 1274, 1018, 9983, 2604, 1240, 13843, 16371, 2292, 12944, 19994, 11104, 7649, 1122, 1660, 3286, 22052, 2186, 13540, 20, 3422, 1409, 3286, 30057, 2186, 9983, 15191, 6239, 3521, 4142, 1171, 1124, 1880, 5228, 6239, 1015, 1164, 1878, 2488, 16371, 1080, 6351, 3950, 1124, 2186, 95, 6239, 2062, 24270, 1234, 2186, 26275, 1253, 1409, 4933, 1031, 1923, 90, 1341, 16391, 1409, 2186, 13540, 20, 6926, 1155, 1135, 7914, 3286, 13103, 19, 2993, 95, 9983, 15191, 18046, 86, 1274, 3731, 95, 3304, 2159, 10189, 1014, 25178, 1670, 93, 11104, 7914, 9023, 13540, 20, 2735, 4201, 9983, 26501, 6732, 1015, 1164, 1878, 1098, 16371, 1080, 6351, 3950, 2488, 3351, 8532, 16371, 15712, 20, 4608, 1155, 1135, 24008, 2186, 1026, 5246, 2604, 8456, 19, 2703, 1409, 3286, 4201, 7547, 11393, 13883, 8456, 1253, 1286, 1409, 31761, 1409, 3286, 4201, 9983, 1025, 1730, 1744, 76, 1507, 16371, 13732, 4394, 1253, 2292, 12944, 2875, 1813, 5228, 2324, 1813, 5228, 1759, 7393, 29025, 2324, 1813, 5228, 9983, 6239, 12994, 20922, 2062, 24270, 1234, 2186, 13540, 2604, 9025, 1109, 1364, 3351, 20, 2735, 4201, 9983, 2967, 2140, 4933, 1031, 1923, 90, 1341, 16391, 2159, 2872, 13903, 1642, 7935, 1074, 1409, 2186, 27751, 4541, 1210, 5697, 83, 9329, 3351, 2904, 4040, 1434, 2503, 8673, 31007, 5, 27038, 79, 1623, 9902, 2873, 20422, 1087, 7132, 19, 8915, 13134, 6393, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 23602, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 2951, 8432, 13134, 6393, 11294, 27038, 79, 1623, 9902, 2873, 20422, 1087, 7132, 2132, 1440, 90, 1341, 2475, 3510, 12771, 2045, 23602, 1504, 2279, 5067, 1163, 42, 9554, 23602, 15712, 2604, 11302, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 5707, 1440, 90, 1341, 11294, 27038, 79, 1623, 9902, 2873, 20422, 1087, 7132, 19, 9714, 1248, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 23602, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 3943, 11919, 1059, 27038, 79, 1623, 9902, 2873, 19, 15896, 7132, 4328, 1813, 5228, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 9983, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 6234, 1813, 5228, 11294, 27038, 79, 1623, 9902, 2873, 19, 15896, 7132, 19, 1364, 20737, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 23602, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 4032, 1014, 20737, 11294, 7665, 1171, 69, 27038, 1434, 69, 4736, 29156, 2475, 3510, 12771, 2045, 23602, 1504, 2279, 5067, 2186, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 2159, 1504, 1274, 1171, 2604, 1015, 17878, 10989, 1095, 2048, 1380, 2204, 11908, 25353, 1376, 1091, 74, 2604, 2186, 7914, 1409, 7547, 11393, 3614, 1049, 1018, 2204, 1015, 17878, 1210, 95, 21540, 3164, 4355, 1440, 90, 1341, 1940, 1440, 90, 1341, 1940, 1440, 90, 1341, 9983, 18046, 86, 2604, 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, 17320, 1678, 2159, 1026, 11919, 3286, 13103, 19, 2993, 95, 1642, 7935, 1074, 28524, 20737, 17888, 20737, 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, 1533, 8432, 13134, 6393, 1467, 8432, 13134, 6393, 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, 2186, 2730, 5209, 1409, 1737, 2834, 1678, 1080, 1079, 5619, 1543, 5920, 1211 ]

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

[ 2574, 1184, 1009, 3771, 4686, 1009, 30090, 20845, 2233, 13968, 1132, 1204, 4686, 26039, 10951, 1068, 14644, 1322, 12207, 20, 2200, 15612, 2698, 1006, 5660, 1009, 5493, 1161, 5500, 5616, 1054, 1050, 14424, 1072, 6402, 1005, 4979, 1048, 1006, 7764, 1994, 1937, 1305, 2033, 1273, 2247, 1009, 1178, 1687, 3486, 4538, 1140, 1054, 1094, 2700, 1009, 12246, 158, 1408, 1554, 7377, 4213, 3315, 3205, 1043, 25619, 84, 1411, 1048, 15249, 1717, 1006, 7764, 1160, 1327, 1009, 4961, 4114, 20, 20845, 2233, 2276, 21103, 1048, 1006, 7764, 12045, 2112, 1009, 14608, 4345, 1005, 1048, 14161, 1124, 21724, 1048, 1006, 17364, 1327, 1009, 4961, 2999, 1704, 6752, 4454, 18425, 1188, 32, 2373, 78, 150, 1791, 4267, 1009, 12685, 2950, 1006, 9282, 2858, 2671, 1048, 7389, 5740, 1132, 13832, 1009, 6942, 1233, 12207, 1005, 2143, 1048, 1132, 31613, 10230, 1802, 1766, 12685, 1049, 9214, 1596, 1132, 1048, 1184, 7389, 1087, 1975, 1132, 19933, 1048, 2627, 10783, 1233, 12207, 8226, 20845, 2233, 14585, 1620, 1048, 1006, 12207, 1114, 20959, 1160, 1096, 30413, 1096, 3774, 1961, 1309, 1048, 1998, 1195, 7621, 2309, 13832, 1009, 6942, 1006, 12207, 1048, 1026, 9214, 7289, 20, 14232, 12207, 1114, 31595, 4525, 1687, 3164, 1009, 5635, 1060, 17182, 5051, 20, 1551, 1493, 4248, 1058, 1299, 1160, 7389, 5740, 1132, 13832, 1048, 2627, 10783, 1299, 1160, 7932, 1006, 12207, 20, 1138, 3129, 1049, 2671, 1096, 17704, 3530, 19933, 8226, 7377, 4213, 1973, 1620, 1048, 1026, 1561, 10483, 1072, 13769, 1009, 6942, 1006, 24878, 2762, 1998, 7800, 1819, 1009, 3754, 1048, 1195, 8548, 1006, 5567, 4254, 1312, 1356, 9214, 18, 1159, 14585, 20845, 2233, 3021, 1065, 6253, 9230, 27636, 10148, 10998, 20845, 2233, 1195, 1026, 1184, 9537, 13991, 1365, 1132, 7607, 22285, 2445, 1072, 1180, 52, 27636, 10148, 10998, 2188, 31999, 20845, 2233, 24616, 6521, 1213, 7436, 2769, 27636, 10148, 10998, 7544, 15300, 1107, 19898, 12447, 1005, 20845, 2233, 1566, 6133, 1043, 2523, 11, 3996, 1019, 2233, 1620, 2521, 1006, 7764, 31457, 1130, 1124, 1558, 1016, 1049, 3266, 20974, 32, 1128, 4381, 1180, 1281, 1398, 3624, 1803, 14698, 29785, 4906, 23942, 1048, 1235, 6387, 2115, 1792, 1213, 27554, 1026, 3435, 1271, 3764, 9709, 1005, 1213, 18465, 1717, 1132, 7180, 9456, 9135, 7386, 1026, 9214, 1049, 1622, 1479, 1005, 1048, 17646, 1118, 1718, 28751, 1026, 1908, 1704, 6752, 1233, 11990, 29979, 1006, 6521, 9485, 1043, 1026, 4113, 15798, 2373, 5384, 2449, 5391, 1048, 1664, 1048, 1826, 1323, 22717, 1058, 3442, 1202, 1187, 2224, 1646, 1009, 3339, 4159, 5967, 11896, 1048, 3230, 10621, 1554, 7669, 11035, 1068, 6883, 1229, 2829, 13654, 20, 10770, 2601, 1800, 1158, 2744, 1009, 5435, 1554, 10770, 4800, 5392, 3987, 6647, 1005, 8402, 1800, 1026, 2743, 1048, 1566, 3765, 4918, 1068, 1026, 1561, 1178, 25377, 1009, 6969, 626, 5653, 1064, 16242, 16595, 4093, 26331, 2122, 10617, 26032, 2558, 1391, 13778, 82, 9858, 4053, 44, 25349, 20845, 2233, 45, 2843, 85, 48, 5941, 2769, 50, 1814, 1797, 7260, 1295, 1456, 1858, 4331, 1068, 4305, 1026, 31586, 1049, 9214, 9214, 2503, 12968, 2564, 1261, 19431, 1005, 23334, 10677, 2745, 1305, 2073, 4453, 1126, 1132, 23361, 51, 2428, 2818, 3175, 53, 1797, 1312, 90, 1439, 3275, 1785, 1077, 1691, 1065, 6253, 27048, 28016, 1006, 27677, 1049, 9568, 1049, 2670, 10790, 1114, 1062, 8131, 24, 2525, 1072, 27743, 1054, 2182, 8674, 28016, 1132, 5169, 1048, 28926, 1026, 2671, 1009, 11522, 1009, 10790, 1605, 1048, 1096, 1026, 1128, 2526, 1009, 19399, 1010, 1005, 1159, 1264, 15282, 1026, 1561, 33, 19246, 1026, 7930, 5166, 4511, 1580, 3008, 1814, 32, 23237, 6613, 1044, 3872, 6402, 1044, 3872, 20383, 1094, 1807, 13289, 626, 33, 19246, 1026, 9568, 1060, 4744, 3528, 1255, 6885, 23185, 1043, 1142, 9642, 2155, 19447, 1006, 5865, 10218, 1072, 1235, 8449, 22086, 1343, 1049, 9214, 2995, 1093, 1295, 2307, 16866, 1118, 3164, 1009, 2218, 1139, 1027, 16834, 96, 1545, 6391, 22831, 1545, 6391, 1079, 1410, 6041, 6391, 5329, 1545, 6391, 1165, 2361, 6391, 80, 11780, 6391, 80, 2815, 6391, 1183, 1047, 6391, 1182, 1943, 6391, 4013, 1370, 6391, 1546, 3055, 6391, 80, 2078, 6391, 1131, 96, 1545, 4579, 22831, 1545, 4579, 1079, 1410, 6041, 4579, 5329, 1545, 4579, 1165, 2361, 4579, 80, 11780, 4579, 80, 2815, 4579, 1183, 1047, 4579, 1182, 1943, 4579, 4013, 1370, 4579, 1546, 3055, 4579, 80, 2078, 4579, 1131, 96, 1545, 3209, 22831, 1545, 3209, 1079, 1410, 6041, 3209, 5329, 1545, 3209, 1165, 2361, 3209, 80, 11780, 3209, 80, 2815, 3209, 1183, 1047, 3209, 1182, 1943, 3209, 4013, 1370, 3209, 1546, 3055, 3209, 80, 2078, 3209, 1131, 96, 1545, 4229, 22831, 1545, 4229, 1079, 1410, 6041, 4229, 5329, 1545, 4229, 1165, 2361, 4229, 80, 11780, 4229, 80, 2815, 4229, 1183, 1047, 4229, 1182, 1943, 4229, 4013, 1370, 4229, 1546, 3055, 4229, 80, 2078, 4229, 1131, 96, 1545, 4053, 22831, 1545, 4053, 1079, 1410, 6041, 4053, 5329, 1545, 4053, 1165, 2361, 4053, 80, 11780, 4053, 80, 2815, 4053, 1183, 1047, 4053, 1182, 1943, 4053, 4013, 1370, 4053, 1546, 3055, 4053, 80, 2078, 4053, 1131, 96, 1545, 4161, 22831, 1545, 4161, 1079, 1410, 6041, 4161, 5329, 1545, 4161, 1165, 2361, 4161, 80, 11780, 4161, 80, 2815, 4161, 1183, 1047, 4161, 1182, 1943, 4161, 4013, 1370, 4161, 1546, 3055, 4161, 80, 2078, 4161, 1131, 96, 1545, 3973, 22831, 1545, 3973, 1079, 1410, 6041, 3973, 5329, 1545, 3973, 1165, 2361, 3973, 80, 11780, 3973, 80, 2815, 3973, 1183, 1047, 3973, 1182, 1943, 3973, 4013, 1370, 3973, 1546, 3055, 3973, 80, 2078, 3973, 1131, 96, 1545, 4210, 22831, 1545, 4210, 1079, 1410, 6041, 4210, 5329, 1545, 4210, 1165, 2361, 4210, 80, 11780, 4210, 80, 2815, 4210, 1183, 1047, 4210, 1182, 1943, 4210, 4013, 1370, 4210, 1546, 3055, 4210, 80, 2078, 4210, 1131, 96, 1545, 4152, 22831, 1545, 4152, 1079, 1410, 6041, 4152, 5329, 1545, 4152, 1165, 2361, 4152, 80, 11780, 4152, 80, 2815, 4152, 1183, 1047, 4152, 1182, 1943, 4152, 4013, 1370, 4152, 1546, 3055, 4152, 80, 2078, 4152, 1131, 96, 1545, 4119, 22831, 1545, 4119, 1079, 1410, 6041, 4119, 5329, 1545, 4119, 1165, 2361, 4119, 80, 11780, 4119, 80, 2815, 4119, 1183, 1047, 4119, 1182, 1943, 4119, 4013, 1370, 4119, 1131, 96, 1545, 3977, 5329, 1545, 3977, 80, 11780, 3977, 1183, 1047, 3977, 1182, 1943, 3977, 4013, 1370, 3977, 1546, 3055, 3977, 1079, 1410, 6041, 4127, 5329, 1545, 4127, 1165, 2361, 4127, 5329, 1545, 3837, 28625, 1024, 3008, 43, 3726, 1128, 3642, 40, 132, 51, 1898, 16767, 16930, 2686, 5322, 18803, 5821, 30124, 1006, 10790, 2476, 1139, 1410, 1112, 1060, 8116, 29490, 8914, 23, 9062, 19310, 20281, 1035, 1043, 25221, 1573, 5140, 3068, 15381, 1083, 0, 18, 1054, 8750, 20, 27298, 1318, 2572, 1057, 1491, 3131, 1049, 10511, 8407, 5, 9287, 5079, 1030, 6699, 10989, 26708, 19940, 29564, 16930, 12955, 1009, 12078, 11644, 13180, 6937, 21828, 1049, 25549, 1303, 1072, 18976, 2721, 8674, 19310, 27980, 15648, 1009, 24672, 4472, 10209, 1049, 2191, 16664, 4243, 1082, 1441, 18, 22750, 1048, 3568, 10404, 1195, 26251, 1140, 1072, 2671, 1009, 9581, 1005, 1048, 2373, 19870, 1079, 1006, 2283, 23623, 626, 5, 9287, 5079, 1030, 6699, 10989, 26708, 1691, 5468, 11644, 10222, 71, 7761, 1024, 1026, 10511, 8407, 11909, 5892, 7562, 1187, 6709, 1005, 3925, 1814, 1006, 5337, 5, 3459, 8674, 19310, 26582, 1049, 21834, 1005, 1060, 2711, 1029, 2485, 1026, 2285, 1009, 6709, 13643, 1657, 1026, 10511, 8407, 12814, 1009, 18208, 1068, 31752, 28, 8401, 3322, 6063, 1006, 18806, 1005, 1006, 17294, 1072, 1908, 5, 9287, 5079, 1030, 6699, 10989, 26708, 1383, 17500, 6416, 2544, 89, 1009, 6942, 1213, 25549, 1303, 1596, 5263, 6397, 1118, 9581, 5, 3459, 8674, 19310, 3141, 1045, 5094, 1049, 16660, 59, 13658, 1048, 5629, 12524, 1312, 1114, 5110, 2712, 1617, 1024, 1291, 12489, 1044, 3910, 4461, 1068, 1026, 6402, 9225, 1026, 2788, 1049, 23163, 1009, 5180, 1346, 5, 9287, 5079, 1030, 6699, 10989, 26708, 1691, 5468, 11644, 3564, 1108, 1020, 13537, 2373, 19881, 29189, 1009, 1807, 25277, 1060, 4263, 1068, 3871, 9738, 1060, 26319, 16442, 11185, 626, 5, 2708, 8674, 19310, 1576, 1074, 1038, 1893, 3267, 1049, 9214, 18, 27736, 26427, 28612, 22111, 1884, 2607, 2779, 1068, 26139, 26319, 1005, 26179, 15756, 2952, 9189, 1069, 1118, 9581, 5, 9287, 5079, 1030, 6699, 10989, 26708, 19940, 14996, 4816, 17326, 90, 1724, 1508, 9983, 10956, 1005, 9879, 9839, 1009, 2303, 1043, 1006, 3028, 9598, 1009, 25227, 2170, 1213, 5711, 5016, 6058, 1299, 21113, 1043, 6546, 4034, 9390, 76, 1706, 2765, 1009, 9983, 4517, 5794, 3924, 1691, 1056, 2694, 15712, 1940, 30551, 1576, 11941, 24128, 18316, 7665, 2555, 13272, 13540, 1274, 1018, 9983, 2604, 1240, 13843, 16371, 2292, 12944, 19994, 11104, 7649, 1122, 1660, 3286, 22052, 2186, 13540, 20, 3422, 1409, 3286, 30057, 2186, 9983, 15191, 6239, 3521, 4142, 1171, 1124, 1880, 5228, 6239, 1015, 1164, 1878, 2488, 16371, 1080, 6351, 3950, 1124, 2186, 95, 6239, 2062, 24270, 1234, 2186, 26275, 1253, 1409, 4933, 1031, 1923, 90, 1341, 16391, 1409, 2186, 13540, 20, 6926, 1155, 1135, 7914, 3286, 13103, 19, 2993, 95, 9983, 15191, 18046, 86, 1274, 3731, 95, 3304, 2159, 10189, 1014, 25178, 1670, 93, 11104, 7914, 9023, 13540, 20, 2735, 4201, 9983, 26501, 6732, 1015, 1164, 1878, 1098, 16371, 1080, 6351, 3950, 2488, 3351, 8532, 16371, 15712, 20, 4608, 1155, 1135, 24008, 2186, 1026, 5246, 2604, 8456, 19, 2703, 1409, 3286, 4201, 7547, 11393, 13883, 8456, 1253, 1286, 1409, 31761, 1409, 3286, 4201, 9983, 1025, 1730, 1744, 76, 1507, 16371, 13732, 4394, 1253, 2292, 12944, 2875, 1813, 5228, 2324, 1813, 5228, 1759, 7393, 29025, 2324, 1813, 5228, 9983, 6239, 12994, 20922, 2062, 24270, 1234, 2186, 13540, 2604, 9025, 1109, 1364, 3351, 20, 2735, 4201, 9983, 2967, 2140, 4933, 1031, 1923, 90, 1341, 16391, 2159, 2872, 13903, 1642, 7935, 1074, 1409, 2186, 27751, 4541, 1210, 5697, 83, 9329, 3351, 2904, 4040, 1434, 2503, 8673, 31007, 5, 27038, 79, 1623, 9902, 2873, 20422, 1087, 7132, 19, 8915, 13134, 6393, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 23602, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 2951, 8432, 13134, 6393, 11294, 27038, 79, 1623, 9902, 2873, 20422, 1087, 7132, 2132, 1440, 90, 1341, 2475, 3510, 12771, 2045, 23602, 1504, 2279, 5067, 1163, 42, 9554, 23602, 15712, 2604, 11302, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 5707, 1440, 90, 1341, 11294, 27038, 79, 1623, 9902, 2873, 20422, 1087, 7132, 19, 9714, 1248, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 23602, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 3943, 11919, 1059, 27038, 79, 1623, 9902, 2873, 19, 15896, 7132, 4328, 1813, 5228, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 9983, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 6234, 1813, 5228, 11294, 27038, 79, 1623, 9902, 2873, 19, 15896, 7132, 19, 1364, 20737, 2475, 3510, 12771, 18671, 23602, 1504, 2279, 5067, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 20, 2045, 23602, 1504, 1274, 1171, 2604, 1015, 17878, 2186, 11908, 15712, 1234, 2186, 9983, 1098, 2186, 3521, 5100, 4032, 1014, 20737, 11294, 7665, 1171, 69, 27038, 1434, 69, 4736, 29156, 2475, 3510, 12771, 2045, 23602, 1504, 2279, 5067, 2186, 1163, 42, 9554, 14087, 1434, 2985, 1032, 25029, 2159, 1504, 1274, 1171, 2604, 1015, 17878, 10989, 1095, 2048, 1380, 2204, 11908, 25353, 1376, 1091, 74, 2604, 2186, 7914, 1409, 7547, 11393, 3614, 1049, 1018, 2204, 1015, 17878, 1210, 95, 21540, 3164, 4355, 1440, 90, 1341, 1940, 1440, 90, 1341, 1940, 1440, 90, 1341, 9983, 18046, 86, 2604, 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, 17320, 1678, 2159, 1026, 11919, 3286, 13103, 19, 2993, 95, 1642, 7935, 1074, 28524, 20737, 17888, 20737, 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, 1533, 8432, 13134, 6393, 1467, 8432, 13134, 6393, 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, 2186, 2730, 5209, 1409, 1737, 2834, 1678, 1080, 1079, 5619, 1543, 5920, 1211 ]

[ 1479, 2312, 1526, 1340, 6413, 3197, 1221, 1059, 14949, 54, 2431, 1051, 1430, 626, 2645, 1993, 1047, 15, 1479, 1387, 2352, 1035, 1086, 1379, 1042, 1100, 21422, 3756, 19989, 2274, 1315, 1066, 1015, 1401, 1051, 2483, 1059, 14949, 50, 1053, 1185, 1400, 2152, 26874, 158, 626, 6424, 12698, 1054, 8429, 1185, 25315, 1175, 1387, 2352, 1829, 1164, 16019, 1927, 1015, 21186, 96, 19748, 18839, 49, 1059, 14949, 41, 1889, 1491, 2841, 1324, 30206, 28441, 3287, 23911, 1036, 626, 2663, 1065, 1139, 3471, 1273, 30206, 28441, 1035, 16028, 15, 1479, 26690, 1059, 3730, 1036, 7501, 1410, 1020, 1098, 18098, 7501, 12589, 8, 24492, 1132, 1082, 12649, 1054, 675, 18098, 7501, 1076, 15, 1175, 2312, 1526, 1072, 84, 7020, 3058, 1043, 1064, 1303, 1059, 14949, 31370, 4986, 2344, 1009, 1106, 11235, 19, 63, 6719, 2499, 1009, 4623, 2917, 1009, 5226, 8504, 626, 3106, 4986, 1685, 1009, 1106, 11235, 19, 63, 6719, 1322, 4623, 1016, 1009, 4523, 1328, 15, 1479, 1387, 2352, 1035, 1043, 1080, 19086, 2425, 1097, 1802, 2312, 1526, 1025, 9997, 20, 1387, 2352, 1035, 5443, 1164, 1059, 14949, 31370, 3279, 1505, 1133, 1009, 1344, 8412, 626, 3106, 3279, 21470, 1009, 1344, 8412, 15, 1479, 1387, 2352, 1035, 1155, 1226, 7189, 20, 2613, 1223, 21511, 1535, 1807, 96, 2112, 1658, 31396, 22720, 1713, 13175, 8730, 16563, 1009, 7466, 2084, 24218, 1006, 1044, 5975, 1009, 9946, 75, 1344, 1079, 5478, 92, 8165, 81, 2196, 24768, 26814, 3947, 9171, 19626, 22720, 1792, 1054, 12412, 3020, 5792, 6898, 1017, 159, 7452, 4590, 1026, 3462, 26318, 6567, 1060, 5710, 20, 4116, 1381, 11713, 1100, 1123, 12976, 3967, 1079, 1044, 1807, 3159, 1006, 30287, 3395, 3169, 3965, 3279, 1751, 1060, 5547, 14825, 1060, 3733, 1058, 1976, 1213, 7640, 3159, 1118, 1264, 1798, 2270, 8335, 1123, 12976, 9009, 1006, 21895, 1112, 1009, 2373, 1366, 1019, 1209, 1009, 1094, 23010, 626, 1233, 1224, 3486, 17127, 1566, 1048, 1160, 19138, 1124, 22720, 2765, 8364, 1118, 30287, 3395, 3169, 3965, 1424, 1026, 1235, 1168, 12018, 2928, 22720, 9464, 18853, 16547, 1060, 3733, 1006, 1187, 1416, 8443, 1187, 10291, 1005, 2837, 22684, 1436, 21895, 1102, 1760, 1273, 2289, 2453, 1049, 6506, 1187, 7002, 1658, 3069, 7204, 13175, 1901, 1009, 25728, 1026, 2417, 1009, 7204, 10085, 1343, 1482, 21757, 16879, 2159, 9177, 1870, 8030, 1118, 21548, 1024, 2423, 30001, 1497, 1005, 7204, 1005, 1356, 7794, 1010, 1876, 1049, 2438, 9266, 1291, 9947, 3664, 1482, 21757, 2635, 3205, 1054, 1044, 5804, 1213, 16019, 1094, 3069, 7204, 1060, 12857, 5920, 14487, 3398, 1225, 1273, 13713, 9371, 1005, 13944, 1114, 3733, 20, 1482, 11401, 1026, 3077, 1195, 1488, 1473, 1599, 10966, 3360, 1006, 3069, 3462, 2950, 1094, 2360, 2479, 1627, 18063, 1054, 7420, 3818, 2310, 9660, 1257, 3270, 3420, 1066, 2021, 1803, 1082, 4752, 4437, 11083, 23640, 1163, 4437, 30287, 3395, 3169, 2196, 1538, 7805, 1363, 7411, 1034, 1269, 13, 4150, 11338, 16108, 32, 1180, 4043, 4752, 1032, 1283, 8222, 1678, 23137, 4437, 21253, 5, 3270, 3420, 1066, 2021, 1803, 1082, 4752, 4437, 4978, 1223, 30287, 3395, 3169, 14642, 1207, 1020, 9349, 2159, 19520, 1678, 16108, 32, 7138, 82, 1174, 9481, 18788, 5, 12616, 1678, 6873, 20, 30287, 3395, 3169, 14642, 19409, 1173, 1210, 1955, 78, 1316, 7040, 2663, 1258, 13191, 8275, 14269, 9604, 4216, 14106, 22069, 33, 9730, 1565, 6427, 1559, 7942, 2337, 19, 5963, 4160, 29, 2541, 6266, 1241, 1014, 5106, 1349, 6427, 1559, 7942, 2337, 7252, 5205, 8121, 11625, 14503, 1528, 5106, 15, 3313, 26353, 1018, 28686, 1120, 1876, 4093, 8791, 1009, 4978, 1223, 30287, 3395, 17482, 1576, 5021, 1068, 11639, 4093, 8791, 1009, 1578, 7678, 1, 17487, 1021, 1034, 675, 1096, 1044, 9808, 1009, 1011, 84, 1038, 1480, 20788, 1213, 2417, 1187, 1614, 2234, 85, 1480, 33, 1096, 1044, 8574, 20762, 1043, 2398, 12028, 4616, 3703, 1009, 7875, 3764, 24839, 1708, 33, 7489, 1645, 1250, 4485, 1159, 1210, 1191, 2801, 13841, 21450, 26684, 3367, 5257, 1021, 1034, 29127, 13265, 2255, 2128, 7795, 1467, 5257, 1021, 1034, 11498, 79, 11231, 9129, 77, 3180, 18, 11436, 1467, 5257, 1021, 1034, 1080, 6410, 1302, 11231, 3306, 73, 51, 1189, 1789, 2975, 29325, 7199, 5257, 1021, 1034, 1011, 1330, 1236, 20278, 2796, 1870, 2128, 6418, 1467, 5257, 1021, 1034, 1429, 79, 5196, 1108, 1574, 1034, 5585, 1578, 2708, 1467, 5257, 1021, 1034, 2288, 1281, 71, 1163, 19828, 8139, 26, 1467, 5257, 1021, 1034, 1011, 1108, 1568, 22934, 75, 1207, 2911, 7861, 1283, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 9636, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 7232, 1065, 1814, 6938, 1396, 17438, 18, 1578, 4325, 7199, 5257, 1021, 1034, 1688, 1342, 4509, 15327, 75, 3662, 21880, 7375, 16207, 5122, 1660, 1049, 1449, 1467, 5257, 1021, 1034, 6006, 8933, 20278, 2796, 1870, 2128, 4754, 1467, 5257, 1021, 1034, 7288, 24350, 1128, 2507, 93, 11045, 8139, 28, 1467, 5257, 1021, 1034, 8697, 1065, 1021, 2669, 8397, 1731, 2196, 1578, 5248, 1467, 5257, 1021, 1034, 24659, 1183, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 1086, 3309, 25310, 9584, 4776, 1578, 3459, 1467, 5257, 1021, 1034, 1340, 15930, 1020, 1207, 2911, 7861, 1283, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 8861, 1699, 71, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 1086, 13069, 15920, 79, 14192, 96, 5972, 22048, 1467, 5257, 1021, 1034, 14293, 26517, 4765, 51, 1189, 1789, 2975, 5614, 25, 1467, 5257, 1021, 1034, 1953, 1007, 1040, 16657, 1632, 6036, 21682, 1467, 5257, 1021, 1034, 10669, 1875, 26926, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 3743, 1031, 9281, 1809, 7467, 7429, 8139, 28, 1467, 5257, 1021, 1034, 1028, 1122, 3380, 1440, 90, 1889, 3797, 4206, 1164, 77, 1283, 1138, 1609, 166, 1126, 5238, 1467, 5257, 1021, 1034, 2620, 91, 1685, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 21600, 1041, 1145, 8052, 22878, 1578, 8121, 1467, 5257, 1021, 1034, 1008, 1107, 75, 6844, 1350, 2794, 1358, 83, 1528, 1126, 8139, 24, 7199, 5257, 1021, 1034, 1008, 1170, 1342, 1163, 3678, 18, 1578, 4160, 1467, 5257, 1021, 1034, 4474, 1814, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 2296, 3039, 20278, 2796, 1870, 2128, 6418, 1467, 5257, 1021, 1034, 1963, 79, 4143, 3478, 1067, 3841, 3883, 1393, 1283, 19432, 10251, 8379, 1467, 5257, 1021, 1034, 11122, 1699, 1568, 1440, 90, 1889, 1128, 1772, 1095, 3529, 1578, 8037, 1467, 5257, 1021, 1034, 28322, 24747, 16360, 4143, 3478, 1067, 3841, 3883, 1393, 1283, 19432, 10251, 8379, 1467, 5257, 1021, 1034, 22340, 2163, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 2146, 1199, 1076, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 2146, 1199, 1076, 1123, 16731, 1803, 29065, 1467, 5257, 1021, 1034, 2146, 1602, 1889, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 3187, 8933, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 9938, 1375, 18751, 1134, 8196, 78, 1930, 5614, 30, 1467, 5257, 1021, 1034, 1030, 2902, 1685, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 3505, 77, 1889, 10929, 3529, 9856, 23, 9660, 13642, 5992, 7729, 26920, 28098, 23482, 12607, 3401, 1084, 2412, 2206, 1324, 8163, 1658, 5257, 5581, 12456, 1, 11240, 1156, 1723, 18735, 20494, 13359, 1799, 1009, 3149, 1009, 10321, 15, 1096, 1044, 25409, 1291, 7719, 3888, 3723, 8367, 20, 10590, 1114, 2919, 1009, 7938, 1009, 4106, 1184, 15651, 1049, 2045, 3399, 4516, 14302, 7587, 20699, 2300, 1156, 1723, 5810, 1054, 21340, 13359, 1114, 10877, 1571, 1235, 10109, 1044, 28227, 2339, 3580, 1034, 1006, 17279, 11716, 1060, 28906, 5571, 9549, 2200, 10483, 1054, 8380, 8998, 5121, 1054, 7158, 1398, 1912, 3158, 2330, 1297, 2923, 1357, 2828, 1049, 30012, 79, 1072, 1901, 1009, 2026, 2308, 3126, 8336, 1060, 3688, 1009, 7204, 4321, 23199, 25823, 2629, 1890, 2653, 2864, 1996, 1009, 5522, 1235, 1831, 28966, 2478, 1330, 2363, 25258, 1175, 1044, 8359, 1322, 1026, 5051, 31468, 7719, 18082, 7848, 4242, 148, 18, 1005, 1996, 1009, 1058, 1384, 3144, 2478, 1330, 2363, 25258, 18, 6342, 1054, 17640, 5749, 1026, 1831, 1009, 5878, 21504, 3498, 2057, 1248, 1049, 2045, 3399, 4516, 14302, 11402, 1723, 1225, 6342, 17495, 18026, 1054, 6433, 1009, 2625, 3799, 21050, 5494, 1159, 7139, 19774, 1005, 1082, 16210, 2552, 1930, 1680, 1159, 2478, 1330, 2363, 25258, 20, 13648, 3425, 1596, 8987, 1580, 1068, 1184, 1009, 2224, 11547, 1005, 18503, 1054, 1184, 1009, 1158, 3825, 1213, 5211, 1049, 1784, 2286, 11401, 1264, 5444, 1026, 10585, 1150, 3531, 1207, 2356, 21398, 6934, 1072, 1235, 7093, 1043, 1026, 1592, 22547, 1138, 4148, 1009, 6450, 6339, 3769, 1010, 26107, 21135, 1005, 13165, 1079, 5193, 7729, 1189, 1615, 2166, 1026, 1428, 11240, 2276, 26107, 21135, 1890, 1132, 24312, 1271, 7107, 18174, 1006, 5975, 1187, 10418, 1005, 1187, 11415, 11402, 1723, 5103, 1493, 1009, 1235, 1557, 4458, 16437, 20969, 2200, 1096, 1044, 4798, 1049, 2417, 2045, 7138, 1106, 19899, 1123, 1530, 1917, 7174, 1026, 1428, 1866, 1803, 1206, 1866, 10748, 1132, 7938, 23395, 2529, 15750, 28413, 4190, 2929, 1024, 7429, 17173, 1344, 4566, 11463, 1128, 1707, 13484, 28747, 1128, 4358, 23878, 4691, 15323, 9400, 4269, 3384, 18, 31967, 11031, 12593, 1051, 4566, 1344, 3082, 79, 18265, 1051, 9268, 23906, 1005, 6669, 4765, 40, 4216, 1802, 4395, 14345, 11240, 1156, 1723, 3396, 1114, 1641, 1009, 8380, 8998, 96, 3306, 1398, 27932, 10124, 1043, 1006, 7391, 1005, 1791, 5089, 4349, 14253, 5, 2478, 1330, 2363, 25258, 4817, 11159, 7139, 19774, 4817, 6877, 1257, 1082, 16210, 2552, 1024, 4817, 12466, 2045, 1633, 5206, 12025, 17484, 15, 1257, 2978, 1207, 29728, 16196, 1308, 18163, 1067, 24243, 3210, 5056, 1257, 1067, 24243, 1776, 8145, 3210, 4681, 1257, 2045, 11497, 6986, 89, 1409, 13009, 3210, 5463, 1257, 26838, 8725, 5100, 3210, 6877, 1257, 4365, 84, 1253, 9768, 3210, 13123, 26237, 4477, 1061, 3210, 7224, 1257, 2735, 13103, 1119, 1259, 11243, 3210, 12466, 2045, 6629, 1061, 3490, 1073, 14438, 2005, 93, 82, 3210, 11306, 1257, 2045, 25092, 3773, 8065, 4585, 6456, 11315, 5, 8380, 8998, 96, 26435, 1253, 4585, 12770, 2045, 1106, 2578, 29166, 675, 4585, 13123, 30012, 79, 26838, 4585, 12466, 1062, 1040, 3685, 95, 19852, 24020, 1308, 11111, 1227, 2878, 6323, 2708, 2548, 3885, 19, 1820, 1055, 1257, 14529, 9874, 1051, 1253, 4585, 25, 14618, 2310, 1605, 28719, 10771, 1009, 11240, 1156, 1723, 3193, 18721, 1187, 2138, 2365, 24952, 1060, 4149, 14423, 1060, 2828, 1049, 30012, 79, 1, 1138, 7341, 2769, 1271, 13262, 1049, 14818, 2061, 1096, 1044, 8703, 3267, 7662, 1118, 3251, 1271, 5878, 11723, 4052, 4056, 1049, 26643, 1271, 13262, 1049, 3217, 1672, 2594, 1312, 1213, 24010, 1060, 8506, 1060, 15029, 2138, 11110, 25016, 11723, 1048, 23487, 1213, 8703, 2594, 7651, 1114, 6317, 14046, 1236, 1365, 17215, 1535, 7827, 30790, 1164, 1009, 3584, 28249, 15, 1005, 1026, 3184, 1009, 7365, 9768, 2223, 1063, 4799, 1049, 1415, 5052, 1992, 1159, 1026, 6020, 2834, 3490, 11383, 1071, 3522, 1035, 1009, 9693, 15, 2419, 7651, 1054, 1205, 20282, 5801, 1467, 6317, 17310, 1026, 21196, 1009, 1150, 3222, 19692, 3267, 8, 1006, 3727, 1009, 8108, 1009, 31897, 3027, 2281, 7356, 1094, 10832, 3888, 1054, 2226, 3006, 1063, 9050, 1006, 8703, 3267, 5687, 1006, 1487, 1009, 9864, 1009, 29230, 7177, 8703, 3134, 4320, 5715, 1009, 18019, 3267, 1005, 17072, 1847, 1184, 1009, 2156, 1910, 5715, 1009, 7156, 1005, 5513, 7081, 1191, 6997, 17695, 5715, 5513, 7081, 1191, 3589, 1657, 2848, 1327, 30740, 33, 13707, 1005, 22174, 1005, 3251, 5715, 1327, 16323, 1072, 7118, 1138, 1543, 1164, 2333, 22972, 2645, 1014, 1104, 3814, 73, 1093, 1607, 27969, 5050, 15, 1096, 3201, 1118, 1178, 5584, 1348, 1009, 1044, 2446, 1009, 1496, 1012, 1179, 6002, 3414, 1021, 14069, 6148, 1565, 14218, 5715, 5513, 6660, 1072, 8703, 5241, 2083, 71, 1033, 2607, 17203, 1036, 2007, 85, 23005, 21450, 5489, 29384, 1543, 31430, 21052, 19, 3276, 2007, 71, 19935, 1328, 1642, 1136, 2948, 71, 3869, 2166, 1110, 71, 1359, 30330, 21052, 19, 1122, 1013, 3431, 5, 85, 1558, 9401, 4363, 4906, 29384, 1023, 1164, 1785, 1011, 1320, 1302, 1126, 5, 85, 1338, 1320, 1810, 3577, 5017, 1037, 1007, 19, 1097, 6499, 1672, 5, 85, 1073, 6372, 1577, 19, 3392, 1136, 2383, 1174, 1320, 2673, 1879, 8703, 1096, 6317, 1009, 7530, 1009, 2350, 5715, 1009, 21346, 1411, 1159, 1006, 21346, 1034, 6658, 1005, 1006, 21346, 1034, 26864, 1893, 1049, 17468, 2378, 1074, 2699, 8606, 19648, 8903, 28439, 11501, 10940, 1005, 9790, 1043, 1184, 1009, 2256, 1910, 4844, 7630, 10947, 1060, 8506, 2383, 1174, 1320, 8107 ]

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

[ 1479, 2312, 1526, 1340, 6413, 3197, 1221, 1059, 14949, 54, 2431, 1051, 1430, 626, 2645, 1993, 1047, 15, 1479, 1387, 2352, 1035, 1086, 1379, 1042, 1100, 21422, 3756, 19989, 2274, 1315, 1066, 1015, 1401, 1051, 2483, 1059, 14949, 50, 1053, 1185, 1400, 2152, 26874, 158, 626, 6424, 12698, 1054, 8429, 1185, 25315, 1175, 1387, 2352, 1829, 1164, 16019, 1927, 1015, 21186, 96, 19748, 18839, 49, 1059, 14949, 41, 1889, 1491, 2841, 1324, 30206, 28441, 3287, 23911, 1036, 626, 2663, 1065, 1139, 3471, 1273, 30206, 28441, 1035, 16028, 15, 1479, 26690, 1059, 3730, 1036, 7501, 1410, 1020, 1098, 18098, 7501, 12589, 8, 24492, 1132, 1082, 12649, 1054, 675, 18098, 7501, 1076, 15, 1175, 2312, 1526, 1072, 84, 7020, 3058, 1043, 1064, 1303, 1059, 14949, 31370, 4986, 2344, 1009, 1106, 11235, 19, 63, 6719, 2499, 1009, 4623, 2917, 1009, 5226, 8504, 626, 3106, 4986, 1685, 1009, 1106, 11235, 19, 63, 6719, 1322, 4623, 1016, 1009, 4523, 1328, 15, 1479, 1387, 2352, 1035, 1043, 1080, 19086, 2425, 1097, 1802, 2312, 1526, 1025, 9997, 20, 1387, 2352, 1035, 5443, 1164, 1059, 14949, 31370, 3279, 1505, 1133, 1009, 1344, 8412, 626, 3106, 3279, 21470, 1009, 1344, 8412, 15, 1479, 1387, 2352, 1035, 1155, 1226, 7189, 20, 2613, 1223, 21511, 1535, 1807, 96, 2112, 1658, 31396, 22720, 1713, 13175, 8730, 16563, 1009, 7466, 2084, 24218, 1006, 1044, 5975, 1009, 9946, 75, 1344, 1079, 5478, 92, 8165, 81, 2196, 24768, 26814, 3947, 9171, 19626, 22720, 1792, 1054, 12412, 3020, 5792, 6898, 1017, 159, 7452, 4590, 1026, 3462, 26318, 6567, 1060, 5710, 20, 4116, 1381, 11713, 1100, 1123, 12976, 3967, 1079, 1044, 1807, 3159, 1006, 30287, 3395, 3169, 3965, 3279, 1751, 1060, 5547, 14825, 1060, 3733, 1058, 1976, 1213, 7640, 3159, 1118, 1264, 1798, 2270, 8335, 1123, 12976, 9009, 1006, 21895, 1112, 1009, 2373, 1366, 1019, 1209, 1009, 1094, 23010, 626, 1233, 1224, 3486, 17127, 1566, 1048, 1160, 19138, 1124, 22720, 2765, 8364, 1118, 30287, 3395, 3169, 3965, 1424, 1026, 1235, 1168, 12018, 2928, 22720, 9464, 18853, 16547, 1060, 3733, 1006, 1187, 1416, 8443, 1187, 10291, 1005, 2837, 22684, 1436, 21895, 1102, 1760, 1273, 2289, 2453, 1049, 6506, 1187, 7002, 1658, 3069, 7204, 13175, 1901, 1009, 25728, 1026, 2417, 1009, 7204, 10085, 1343, 1482, 21757, 16879, 2159, 9177, 1870, 8030, 1118, 21548, 1024, 2423, 30001, 1497, 1005, 7204, 1005, 1356, 7794, 1010, 1876, 1049, 2438, 9266, 1291, 9947, 3664, 1482, 21757, 2635, 3205, 1054, 1044, 5804, 1213, 16019, 1094, 3069, 7204, 1060, 12857, 5920, 14487, 3398, 1225, 1273, 13713, 9371, 1005, 13944, 1114, 3733, 20, 1482, 11401, 1026, 3077, 1195, 1488, 1473, 1599, 10966, 3360, 1006, 3069, 3462, 2950, 1094, 2360, 2479, 1627, 18063, 1054, 7420, 3818, 2310, 9660, 1257, 3270, 3420, 1066, 2021, 1803, 1082, 4752, 4437, 11083, 23640, 1163, 4437, 30287, 3395, 3169, 2196, 1538, 7805, 1363, 7411, 1034, 1269, 13, 4150, 11338, 16108, 32, 1180, 4043, 4752, 1032, 1283, 8222, 1678, 23137, 4437, 21253, 5, 3270, 3420, 1066, 2021, 1803, 1082, 4752, 4437, 4978, 1223, 30287, 3395, 3169, 14642, 1207, 1020, 9349, 2159, 19520, 1678, 16108, 32, 7138, 82, 1174, 9481, 18788, 5, 12616, 1678, 6873, 20, 30287, 3395, 3169, 14642, 19409, 1173, 1210, 1955, 78, 1316, 7040, 2663, 1258, 13191, 8275, 14269, 9604, 4216, 14106, 22069, 33, 9730, 1565, 6427, 1559, 7942, 2337, 19, 5963, 4160, 29, 2541, 6266, 1241, 1014, 5106, 1349, 6427, 1559, 7942, 2337, 7252, 5205, 8121, 11625, 14503, 1528, 5106, 15, 3313, 26353, 1018, 28686, 1120, 1876, 4093, 8791, 1009, 4978, 1223, 30287, 3395, 17482, 1576, 5021, 1068, 11639, 4093, 8791, 1009, 1578, 7678, 1, 17487, 1021, 1034, 675, 1096, 1044, 9808, 1009, 1011, 84, 1038, 1480, 20788, 1213, 2417, 1187, 1614, 2234, 85, 1480, 33, 1096, 1044, 8574, 20762, 1043, 2398, 12028, 4616, 3703, 1009, 7875, 3764, 24839, 1708, 33, 7489, 1645, 1250, 4485, 1159, 1210, 1191, 2801, 13841, 21450, 26684, 3367, 5257, 1021, 1034, 29127, 13265, 2255, 2128, 7795, 1467, 5257, 1021, 1034, 11498, 79, 11231, 9129, 77, 3180, 18, 11436, 1467, 5257, 1021, 1034, 1080, 6410, 1302, 11231, 3306, 73, 51, 1189, 1789, 2975, 29325, 7199, 5257, 1021, 1034, 1011, 1330, 1236, 20278, 2796, 1870, 2128, 6418, 1467, 5257, 1021, 1034, 1429, 79, 5196, 1108, 1574, 1034, 5585, 1578, 2708, 1467, 5257, 1021, 1034, 2288, 1281, 71, 1163, 19828, 8139, 26, 1467, 5257, 1021, 1034, 1011, 1108, 1568, 22934, 75, 1207, 2911, 7861, 1283, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 9636, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 7232, 1065, 1814, 6938, 1396, 17438, 18, 1578, 4325, 7199, 5257, 1021, 1034, 1688, 1342, 4509, 15327, 75, 3662, 21880, 7375, 16207, 5122, 1660, 1049, 1449, 1467, 5257, 1021, 1034, 6006, 8933, 20278, 2796, 1870, 2128, 4754, 1467, 5257, 1021, 1034, 7288, 24350, 1128, 2507, 93, 11045, 8139, 28, 1467, 5257, 1021, 1034, 8697, 1065, 1021, 2669, 8397, 1731, 2196, 1578, 5248, 1467, 5257, 1021, 1034, 24659, 1183, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 1086, 3309, 25310, 9584, 4776, 1578, 3459, 1467, 5257, 1021, 1034, 1340, 15930, 1020, 1207, 2911, 7861, 1283, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 8861, 1699, 71, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 1086, 13069, 15920, 79, 14192, 96, 5972, 22048, 1467, 5257, 1021, 1034, 14293, 26517, 4765, 51, 1189, 1789, 2975, 5614, 25, 1467, 5257, 1021, 1034, 1953, 1007, 1040, 16657, 1632, 6036, 21682, 1467, 5257, 1021, 1034, 10669, 1875, 26926, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 3743, 1031, 9281, 1809, 7467, 7429, 8139, 28, 1467, 5257, 1021, 1034, 1028, 1122, 3380, 1440, 90, 1889, 3797, 4206, 1164, 77, 1283, 1138, 1609, 166, 1126, 5238, 1467, 5257, 1021, 1034, 2620, 91, 1685, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 21600, 1041, 1145, 8052, 22878, 1578, 8121, 1467, 5257, 1021, 1034, 1008, 1107, 75, 6844, 1350, 2794, 1358, 83, 1528, 1126, 8139, 24, 7199, 5257, 1021, 1034, 1008, 1170, 1342, 1163, 3678, 18, 1578, 4160, 1467, 5257, 1021, 1034, 4474, 1814, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 2296, 3039, 20278, 2796, 1870, 2128, 6418, 1467, 5257, 1021, 1034, 1963, 79, 4143, 3478, 1067, 3841, 3883, 1393, 1283, 19432, 10251, 8379, 1467, 5257, 1021, 1034, 11122, 1699, 1568, 1440, 90, 1889, 1128, 1772, 1095, 3529, 1578, 8037, 1467, 5257, 1021, 1034, 28322, 24747, 16360, 4143, 3478, 1067, 3841, 3883, 1393, 1283, 19432, 10251, 8379, 1467, 5257, 1021, 1034, 22340, 2163, 1084, 78, 3180, 19129, 1578, 4990, 1467, 5257, 1021, 1034, 2146, 1199, 1076, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 2146, 1199, 1076, 1123, 16731, 1803, 29065, 1467, 5257, 1021, 1034, 2146, 1602, 1889, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 3187, 8933, 1119, 4602, 2359, 1098, 4858, 1126, 1578, 6259, 1467, 5257, 1021, 1034, 9938, 1375, 18751, 1134, 8196, 78, 1930, 5614, 30, 1467, 5257, 1021, 1034, 1030, 2902, 1685, 1633, 14018, 1283, 7428, 1053, 11225, 1578, 4406, 1467, 5257, 1021, 1034, 3505, 77, 1889, 10929, 3529, 9856, 23, 9660, 13642, 5992, 7729, 26920, 28098, 23482, 12607, 3401, 1084, 2412, 2206, 1324, 8163, 1658, 5257, 5581, 12456, 1, 11240, 1156, 1723, 18735, 20494, 13359, 1799, 1009, 3149, 1009, 10321, 15, 1096, 1044, 25409, 1291, 7719, 3888, 3723, 8367, 20, 10590, 1114, 2919, 1009, 7938, 1009, 4106, 1184, 15651, 1049, 2045, 3399, 4516, 14302, 7587, 20699, 2300, 1156, 1723, 5810, 1054, 21340, 13359, 1114, 10877, 1571, 1235, 10109, 1044, 28227, 2339, 3580, 1034, 1006, 17279, 11716, 1060, 28906, 5571, 9549, 2200, 10483, 1054, 8380, 8998, 5121, 1054, 7158, 1398, 1912, 3158, 2330, 1297, 2923, 1357, 2828, 1049, 30012, 79, 1072, 1901, 1009, 2026, 2308, 3126, 8336, 1060, 3688, 1009, 7204, 4321, 23199, 25823, 2629, 1890, 2653, 2864, 1996, 1009, 5522, 1235, 1831, 28966, 2478, 1330, 2363, 25258, 1175, 1044, 8359, 1322, 1026, 5051, 31468, 7719, 18082, 7848, 4242, 148, 18, 1005, 1996, 1009, 1058, 1384, 3144, 2478, 1330, 2363, 25258, 18, 6342, 1054, 17640, 5749, 1026, 1831, 1009, 5878, 21504, 3498, 2057, 1248, 1049, 2045, 3399, 4516, 14302, 11402, 1723, 1225, 6342, 17495, 18026, 1054, 6433, 1009, 2625, 3799, 21050, 5494, 1159, 7139, 19774, 1005, 1082, 16210, 2552, 1930, 1680, 1159, 2478, 1330, 2363, 25258, 20, 13648, 3425, 1596, 8987, 1580, 1068, 1184, 1009, 2224, 11547, 1005, 18503, 1054, 1184, 1009, 1158, 3825, 1213, 5211, 1049, 1784, 2286, 11401, 1264, 5444, 1026, 10585, 1150, 3531, 1207, 2356, 21398, 6934, 1072, 1235, 7093, 1043, 1026, 1592, 22547, 1138, 4148, 1009, 6450, 6339, 3769, 1010, 26107, 21135, 1005, 13165, 1079, 5193, 7729, 1189, 1615, 2166, 1026, 1428, 11240, 2276, 26107, 21135, 1890, 1132, 24312, 1271, 7107, 18174, 1006, 5975, 1187, 10418, 1005, 1187, 11415, 11402, 1723, 5103, 1493, 1009, 1235, 1557, 4458, 16437, 20969, 2200, 1096, 1044, 4798, 1049, 2417, 2045, 7138, 1106, 19899, 1123, 1530, 1917, 7174, 1026, 1428, 1866, 1803, 1206, 1866, 10748, 1132, 7938, 23395, 2529, 15750, 28413, 4190, 2929, 1024, 7429, 17173, 1344, 4566, 11463, 1128, 1707, 13484, 28747, 1128, 4358, 23878, 4691, 15323, 9400, 4269, 3384, 18, 31967, 11031, 12593, 1051, 4566, 1344, 3082, 79, 18265, 1051, 9268, 23906, 1005, 6669, 4765, 40, 4216, 1802, 4395, 14345, 11240, 1156, 1723, 3396, 1114, 1641, 1009, 8380, 8998, 96, 3306, 1398, 27932, 10124, 1043, 1006, 7391, 1005, 1791, 5089, 4349, 14253, 5, 2478, 1330, 2363, 25258, 4817, 11159, 7139, 19774, 4817, 6877, 1257, 1082, 16210, 2552, 1024, 4817, 12466, 2045, 1633, 5206, 12025, 17484, 15, 1257, 2978, 1207, 29728, 16196, 1308, 18163, 1067, 24243, 3210, 5056, 1257, 1067, 24243, 1776, 8145, 3210, 4681, 1257, 2045, 11497, 6986, 89, 1409, 13009, 3210, 5463, 1257, 26838, 8725, 5100, 3210, 6877, 1257, 4365, 84, 1253, 9768, 3210, 13123, 26237, 4477, 1061, 3210, 7224, 1257, 2735, 13103, 1119, 1259, 11243, 3210, 12466, 2045, 6629, 1061, 3490, 1073, 14438, 2005, 93, 82, 3210, 11306, 1257, 2045, 25092, 3773, 8065, 4585, 6456, 11315, 5, 8380, 8998, 96, 26435, 1253, 4585, 12770, 2045, 1106, 2578, 29166, 675, 4585, 13123, 30012, 79, 26838, 4585, 12466, 1062, 1040, 3685, 95, 19852, 24020, 1308, 11111, 1227, 2878, 6323, 2708, 2548, 3885, 19, 1820, 1055, 1257, 14529, 9874, 1051, 1253, 4585, 25, 14618, 2310, 1605, 28719, 10771, 1009, 11240, 1156, 1723, 3193, 18721, 1187, 2138, 2365, 24952, 1060, 4149, 14423, 1060, 2828, 1049, 30012, 79, 1, 1138, 7341, 2769, 1271, 13262, 1049, 14818, 2061, 1096, 1044, 8703, 3267, 7662, 1118, 3251, 1271, 5878, 11723, 4052, 4056, 1049, 26643, 1271, 13262, 1049, 3217, 1672, 2594, 1312, 1213, 24010, 1060, 8506, 1060, 15029, 2138, 11110, 25016, 11723, 1048, 23487, 1213, 8703, 2594, 7651, 1114, 6317, 14046, 1236, 1365, 17215, 1535, 7827, 30790, 1164, 1009, 3584, 28249, 15, 1005, 1026, 3184, 1009, 7365, 9768, 2223, 1063, 4799, 1049, 1415, 5052, 1992, 1159, 1026, 6020, 2834, 3490, 11383, 1071, 3522, 1035, 1009, 9693, 15, 2419, 7651, 1054, 1205, 20282, 5801, 1467, 6317, 17310, 1026, 21196, 1009, 1150, 3222, 19692, 3267, 8, 1006, 3727, 1009, 8108, 1009, 31897, 3027, 2281, 7356, 1094, 10832, 3888, 1054, 2226, 3006, 1063, 9050, 1006, 8703, 3267, 5687, 1006, 1487, 1009, 9864, 1009, 29230, 7177, 8703, 3134, 4320, 5715, 1009, 18019, 3267, 1005, 17072, 1847, 1184, 1009, 2156, 1910, 5715, 1009, 7156, 1005, 5513, 7081, 1191, 6997, 17695, 5715, 5513, 7081, 1191, 3589, 1657, 2848, 1327, 30740, 33, 13707, 1005, 22174, 1005, 3251, 5715, 1327, 16323, 1072, 7118, 1138, 1543, 1164, 2333, 22972, 2645, 1014, 1104, 3814, 73, 1093, 1607, 27969, 5050, 15, 1096, 3201, 1118, 1178, 5584, 1348, 1009, 1044, 2446, 1009, 1496, 1012, 1179, 6002, 3414, 1021, 14069, 6148, 1565, 14218, 5715, 5513, 6660, 1072, 8703, 5241, 2083, 71, 1033, 2607, 17203, 1036, 2007, 85, 23005, 21450, 5489, 29384, 1543, 31430, 21052, 19, 3276, 2007, 71, 19935, 1328, 1642, 1136, 2948, 71, 3869, 2166, 1110, 71, 1359, 30330, 21052, 19, 1122, 1013, 3431, 5, 85, 1558, 9401, 4363, 4906, 29384, 1023, 1164, 1785, 1011, 1320, 1302, 1126, 5, 85, 1338, 1320, 1810, 3577, 5017, 1037, 1007, 19, 1097, 6499, 1672, 5, 85, 1073, 6372, 1577, 19, 3392, 1136, 2383, 1174, 1320, 2673, 1879, 8703, 1096, 6317, 1009, 7530, 1009, 2350, 5715, 1009, 21346, 1411, 1159, 1006, 21346, 1034, 6658, 1005, 1006, 21346, 1034, 26864, 1893, 1049, 17468, 2378, 1074, 2699, 8606, 19648, 8903, 28439, 11501, 10940, 1005, 9790, 1043, 1184, 1009, 2256, 1910, 4844, 7630, 10947, 1060, 8506, 2383, 1174, 1320, 8107 ]

[ 2170, 1992, 1159, 5806, 1160, 1298, 10705, 1198, 1420, 8386, 8, 7550, 1058, 7955, 1005, 1058, 5766, 1236, 1094, 1765, 2984, 1272, 4073, 1048, 1094, 1765, 2984, 1272, 2374, 1895, 2166, 1132, 4496, 6863, 3634, 1178, 3249, 24086, 1797, 17501, 1094, 8564, 3568, 14181, 32, 1132, 1765, 2984, 1452, 3634, 3871, 1048, 1006, 8564, 1048, 4099, 11505, 1058, 14881, 1184, 2512, 1049, 1048, 2089, 2896, 5129, 1006, 3311, 1009, 19883, 22508, 1006, 10403, 20725, 6942, 1077, 3482, 1021, 6160, 1094, 3865, 25491, 32, 1976, 5265, 1702, 2446, 1009, 15650, 71, 1048, 1006, 2779, 3736, 17083, 1533, 4822, 1130, 1026, 3790, 4114, 32, 1058, 1132, 4496, 6863, 11452, 7148, 3607, 1616, 1058, 30076, 1184, 11390, 3812, 1014, 1094, 8369, 28218, 32, 1006, 8369, 4145, 1023, 1014, 4195, 17675, 1005, 22955, 1213, 2417, 20290, 2838, 5294, 1322, 4440, 26167, 32, 1178, 1184, 3838, 1048, 1734, 4440, 1206, 1495, 1592, 25366, 1043, 1857, 1068, 16703, 1006, 18618, 1060, 1765, 2984, 1272, 3812, 1014, 1044, 24406, 32, 1132, 11898, 15216, 1206, 13505, 1010, 1693, 3871, 1006, 18618, 1060, 1765, 2984, 1272, 6383, 1093, 2435, 3790, 2070, 8866, 1026, 3790, 1009, 1734, 6780, 1298, 1178, 29996, 24009, 1518, 88, 1026, 5762, 2115, 7367, 21824, 1271, 7129, 5629, 32, 1044, 14983, 4818, 1049, 2497, 4291, 7005, 1026, 3790, 1060, 2779, 1233, 1765, 2984, 1272, 3301, 2267, 3419, 1049, 20383, 1503, 2598, 3012, 13101, 1048, 1026, 2092, 3872, 3489, 1976, 1178, 1927, 1006, 1224, 1712, 31658, 8, 2904, 12893, 1271, 1765, 2984, 1758, 3564, 1669, 2745, 1124, 1765, 2984, 1758, 1327, 26339, 1054, 7441, 1005, 1009, 29541, 7863, 8466, 28019, 1006, 1765, 2984, 1272, 1058, 2064, 5892, 1006, 1044, 7620, 2671, 1118, 11855, 2939, 3214, 3589, 15961, 3589, 4245, 3589, 4534, 27956, 1009, 29541, 2762, 1132, 1765, 2984, 1452, 21206, 1044, 7838, 5903, 1069, 1206, 26527, 1118, 14654, 4908, 2268, 4548, 2089, 23621, 7109, 18, 1159, 1006, 8846, 1294, 7963, 8027, 1402, 2309, 1765, 2984, 8473, 4378, 6228, 4145, 4599, 1006, 2125, 3714, 13593, 27694, 21038, 1005, 2743, 5098, 32, 3530, 4440, 18746, 9462, 1026, 3603, 1049, 2497, 1068, 11074, 1044, 2017, 7838, 2098, 21038, 5098, 1005, 21060, 32, 3057, 6204, 1132, 4440, 16353, 11186, 1043, 1094, 12015, 20609, 15047, 1054, 2089, 9783, 1043, 1006, 11468, 3267, 1533, 1088, 11373, 3568, 2386, 1206, 4488, 1390, 18, 16629, 1206, 11551, 1094, 4087, 1048, 1325, 2247, 1049, 3603, 1049, 18529, 10497, 4440, 18746, 1946, 1024, 1006, 8558, 1049, 2671, 1054, 1044, 2497, 7951, 1206, 5560, 1558, 1188, 25074, 19871, 5593, 1026, 2671, 4441, 3251, 25441, 1060, 4751, 1765, 2984, 1091, 5640, 1765, 2984, 1452, 1693, 2071, 3251, 10291, 3946, 1391, 1068, 8236, 1132, 1456, 1969, 10433, 1764, 1132, 4496, 32, 3961, 4527, 2166, 9246, 15123, 8377, 9226, 2248, 1876, 2952, 1005, 5098, 6892, 1043, 6298, 1141, 11869, 5735, 2994, 4527, 23091, 1026, 2490, 1060, 7427, 1096, 3707, 1463, 1765, 2984, 15987, 1124, 6306, 1048, 16944, 2071, 1327, 1009, 8178, 88, 4851, 2170, 1159, 30353, 1026, 8359, 1876, 2098, 3380, 1165, 4565, 32, 2328, 1060, 16858, 16353, 10889, 1124, 23977, 1005, 1132, 14675, 1060, 17224, 3360, 3267, 2950, 29673, 11873, 7165, 2952, 32, 1068, 3524, 3790, 1005, 8130, 11549, 1006, 17224, 1124, 3638, 1005, 8377, 2952, 1327, 2739, 2624, 2089, 1271, 8718, 13592, 2309, 4440, 1765, 2984, 1452, 1533, 3554, 1876, 2952, 1005, 5098, 32, 1006, 4173, 1005, 28140, 1582, 1054, 18152, 1011, 5636, 3589, 27890, 1005, 1495, 11737, 7769, 1096, 2143, 1187, 25441, 1271, 1765, 2984, 1758, 6843, 23893, 2310, 32, 1026, 3790, 4750, 1096, 1094, 1807, 5955, 6495, 1118, 1616, 1124, 1765, 2984, 1758, 16532, 3898, 4882, 3590, 4559, 2668, 4800, 1009, 30754, 1048, 1124, 1765, 2984, 1758, 1058, 22794, 1524, 1046, 1006, 1734, 4440, 3746, 1361, 1048, 5036, 2490, 1049, 8359, 1876, 1005, 1271, 8178, 88, 1509, 1728, 20189, 1099, 79, 15639, 1160, 1096, 29124, 10662, 1132, 6863, 1048, 13243, 2481, 1026, 1235, 16522, 1005, 3189, 1566, 1327, 8903, 5613, 21716, 2873, 1170, 1049, 1717, 1363, 4309, 1876, 1467, 3961, 1717, 1026, 8359, 1876, 1096, 3806, 1009, 1717, 1363, 4309, 9144, 1766, 1090, 2585, 1124, 5298, 1005, 9134, 1009, 3227, 1327, 1132, 3145, 9449, 1048, 22602, 83, 2122, 18847, 1377, 11955, 1184, 6186, 1605, 9383, 1009, 10339, 10084, 1058, 4768, 1006, 1094, 6704, 1060, 3832, 1009, 8029, 1049, 3525, 1146, 1291, 11463, 11903, 1916, 2200, 7845, 1048, 1124, 3235, 16061, 1006, 6825, 30137, 2682, 1456, 6044, 2444, 2813, 1452, 1679, 14200, 1009, 9004, 10934, 3782, 1096, 3330, 1068, 20509, 1026, 0, 1605, 6056, 20141, 1876, 1072, 2011, 15402, 1178, 5077, 1094, 16376, 20, 1551, 10531, 2739, 1783, 5534, 1046, 2122, 10525, 1511, 5036, 1094, 6521, 1009, 7176, 20, 1776, 2268, 2122, 11589, 1048, 3902, 1026, 3603, 1009, 1752, 4674, 16590, 1005, 18492, 1298, 1178, 7356, 1044, 0, 4354, 2631, 14742, 1009, 6730, 4666, 18861, 6119, 2374, 1044, 1187, 3460, 6660, 1048, 1006, 7061, 1298, 1294, 2997, 20, 1073, 2646, 1054, 2220, 1026, 1557, 1048, 1299, 5103, 1072, 10864, 1603, 1299, 6678, 1213, 1235, 2790, 4327, 1043, 2306, 4172, 6242, 0, 6174, 2625, 2317, 1018, 1060, 25654, 2327, 3842, 1832, 1467, 25654, 2327, 3842, 1832, 13350, 2625, 5480, 1005, 2350, 8545, 2643, 31185, 1272, 2247, 1049, 2803, 1054, 1048, 1058, 13243, 1716, 5730, 20, 31435, 1006, 4493, 1009, 5574, 1005, 4966, 1159, 1327, 1456, 2625, 7285, 1554, 8144, 4313, 1327, 1495, 18648, 5151, 28463, 1138, 2863, 1096, 1048, 0, 1759, 1079, 17569, 2408, 1054, 6730, 1026, 1048, 3002, 1663, 13719, 1014, 17569, 2408, 1054, 6730, 1044, 5497, 1048, 1318, 1096, 3201, 1159, 1150, 7280, 9052, 12670, 1406, 1096, 1094, 6723, 1048, 10013, 2350, 9913, 7630, 1006, 5699, 6345, 1616, 4172, 1178, 4947, 1159, 1094, 5955, 6495, 1094, 1472, 1048, 4088, 12793, 1005, 21609, 8435, 1298, 7005, 2653, 0, 1467, 20885, 1009, 1080, 5012, 2703, 32, 1094, 5946, 3467, 1467, 20885, 1009, 1080, 5012, 2703, 3135, 1009, 1044, 7970, 16812, 1005, 1006, 10870, 3747, 1060, 4300, 1071, 3640, 14287, 2155, 3684, 1004, 1930, 1118, 6781, 1006, 6228, 1048, 16092, 20, 10634, 1687, 24864, 1009, 1094, 2987, 6758, 11716, 1006, 1094, 20885, 3842, 1832, 20, 14176, 5521, 2177, 0, 1, 1207, 1965, 1248, 1009, 4365, 8469, 1051, 1105, 1056, 15922, 1046, 13329, 1009, 7685, 21768, 1072, 8556, 1152, 2614, 30552, 23823, 1147, 40, 1041, 2555, 1085, 1730, 6020, 1041, 32, 20003, 23, 2708, 1691, 1500, 78, 6020, 1041, 32, 5843, 2944, 2525, 6795, 29, 5, 63, 75, 7011, 6020, 1041, 32, 1422, 2414, 11548, 2084, 26, 5235, 3996, 1965, 1248, 1009, 4365, 8469, 1051, 1105, 1056, 15922, 1046, 13329, 1009, 7685, 21768, 1072, 8556, 1940, 10747, 24122, 14465, 1479, 30407, 1009, 4149, 19939, 79, 2135, 4149, 19939, 1291, 2503, 1279, 1492, 1009, 7685, 1114, 3444, 2952, 8556, 1009, 2823, 2765, 21079, 2271, 8326, 1009, 5556, 1006, 8022, 3963, 1041, 10158, 1596, 9678, 1009, 19703, 1248, 3068, 9307, 1890, 3229, 1005, 15922, 1312, 1043, 7220, 1054, 5978, 1049, 2670, 1009, 4365, 8469, 1051, 1105, 4358, 3015, 3551, 11647, 95, 1192, 5260, 1136, 1882, 18, 15027, 1026, 3761, 7233, 16864, 1092, 95, 1095, 8, 13906, 1124, 6535, 29746, 1826, 1431, 2238, 76, 18351, 7685, 1009, 7471, 1009, 19783, 1159, 1587, 23438, 13638, 1034, 6883, 1730, 1054, 26217, 1026, 3761, 7719, 15860, 19710, 90, 1005, 1026, 4346, 1009, 3246, 8025, 2789, 1034, 1119, 1997, 10107, 18, 3135, 1026, 2717, 3424, 1431, 2238, 76, 1096, 1210, 25794, 4594, 20, 1587, 23438, 1096, 5091, 5167, 8, 5613, 7220, 5241, 1132, 4732, 24417, 24519, 31468, 8, 1005, 7233, 1078, 4565, 31468, 8, 1005, 1006, 26852, 3807, 4737, 1096, 1094, 4671, 1080, 1684, 1095, 1140, 25083, 9549, 1482, 1083, 12686, 1294, 1050, 13163, 1419, 20, 5139, 9208, 37, 12463, 1222, 30675, 8, 12448, 24519, 19939, 79, 1206, 19939, 3382, 1318, 3806, 1009, 28198, 1587, 22712, 1327, 5169, 13724, 1102, 1068, 1006, 4149, 1890, 1026, 4415, 1365, 1132, 1646, 1009, 23455, 1005, 24751, 1511, 1026, 1235, 2671, 1516, 26527, 1118, 30859, 22206, 1005, 1356, 5428, 2769, 21862, 1187, 19400, 3816, 15354, 1184, 3201, 1159, 5428, 19939, 1291, 1533, 3164, 1058, 4768, 1213, 1531, 1049, 13743, 72, 2477, 1177, 13751, 1072, 1428, 1132, 1009, 4365, 8469, 1051, 1105, 1056, 4343, 18465, 1058, 9656, 1046, 2220, 1026, 1622, 10470, 1213, 20582, 5474, 5260, 1136, 1882, 3812, 14987, 1009, 1094, 8116, 1048, 18668, 23282, 1114, 15885, 1005, 23178, 27363, 7639, 1043, 2539, 3825, 6578, 3662, 1365, 1857, 18705, 1005, 10877, 1048, 5225, 2644, 1006, 5351, 1054, 1235, 5449, 1043, 3411, 1009, 18452, 1009, 4365, 8469, 1051, 1105, 1056, 5653, 2143, 6079, 1026, 2671, 1009, 4760, 1103, 1626, 21279, 3004, 12186, 1009, 27421, 1398, 1416, 1054, 1235, 5449, 1006, 71, 14119, 1009, 675, 130, 1179, 1093, 1185, 1321, 18, 15311, 1048, 1224, 4281, 1150, 4822, 1199, 8971, 1068, 1006, 4272, 4345, 1005, 1006, 3227, 30738, 2671, 1009, 4760, 1103, 1626, 4979, 1048, 1224, 4281, 1150, 4822, 1199, 8971, 1068, 1006, 4272, 4345, 1406, 1005, 4567, 1048, 1006, 18705, 4505, 8416, 1043, 1150, 1656, 1056, 3247, 1452, 14086, 1573, 1005, 8405, 1573, 1406, 2115, 1136, 1882, 2844, 1065, 1079, 2457, 1026, 1048, 2521, 1043, 1048, 8904, 1123, 1088, 1133, 1770, 1993, 1068, 15049, 1026, 22524, 30675, 1114, 31724, 1377, 8904, 1123, 1088, 1133, 1096, 1026, 15763, 1009, 4760, 1103, 1626, 6033, 9707, 3404, 1009, 3403, 1479, 6771, 1048, 1026, 11829, 5178, 9101, 17656, 1861, 1157, 1322, 1124, 3540, 1049, 8556, 1463, 9078, 18070, 1026, 2417, 1225, 5413, 1044, 3311, 7850, 1072, 6220, 1063, 8596, 1009, 11829, 2284, 28718, 2916, 1009, 2595, 1118, 13707, 1072, 1908, 1072, 1901, 7755, 2284, 19350, 1006, 2751, 25679, 1049, 8556, 1068, 1026, 1561, 1233, 1587, 1088, 7174, 1184, 1048, 1026, 23885, 1049, 4758, 1009, 2523, 1118, 13707, 1060, 8596, 1086, 10107, 1230, 3943, 1561, 1516, 1044, 5152, 1009, 4758, 1068, 1026, 28233, 1054, 5015, 1005, 1054, 8596, 1406, 2284, 19350, 1134, 1648, 1183, 2079, 1024, 5526, 1054, 6521, 20, 6472, 1101, 10847, 2097, 1006, 17399, 1009, 1006, 7461, 1009, 25522, 2601, 1589, 1044, 4758, 11524, 1009, 1006, 2068, 1009, 5015, 1054, 1026, 6402, 1006, 17399, 1009, 1006, 2900, 1118, 7925, 1054, 1557, 2733, 1890, 1124, 19734, 1054, 1026, 2293, 2284, 27795, 4209, 1068, 1006, 8790, 1126, 2284, 3701, 1069, 16550, 8106, 1026, 2285, 1009, 5015, 10138, 26892, 1054, 2220, 1026, 1784, 12814, 1422, 1118, 13707, 1072, 5512, 16333, 1322, 1044, 1901, 11449, 5756, 1044, 16170, 1009, 1578, 1118, 13707, 1072, 3878, 5064, 3099, 1009, 9330, 1184, 8403, 1072, 12381, 2277, 16550, 3316, 1472, 1048, 1006, 7461, 1009, 25522, 5898, 1681, 9916, 1005, 1006, 25679, 30652, 1048, 1837, 1184, 3182, 1068, 9330, 1072, 6220, 8384, 1054, 1026, 8556, 6617, 1118, 13707, 1009, 1132, 7178, 2829, 27667, 1118, 2191, 1009, 6486, 31234, 13511, 26330, 1118, 13707, 4999, 1532, 20, 6472, 1083, 4183, 1006, 21189, 1582, 1009, 25522, 6675, 1411, 2277, 1026, 1156, 2005, 1292, 20, 3782, 1225, 12242, 16364, 2739, 14196, 1009, 4639, 1072, 3878, 1592, 1043, 1006, 5337, 1054, 1094, 10423, 1494, 1262, 3320, 10682, 18146, 1048, 1132, 11787, 1054, 11829, 6272, 1072, 1908, 6583, 28718, 2224, 1118, 13707, 1072, 1901, 7755, 1068, 9930, 26, 6616, 1009, 20887, 1009, 2303, 1043, 1026, 2417, 1156, 5881, 6220, 1063, 25679, 1049, 8556, 2284, 19350, 1048, 1224, 6973, 1068, 14072, 5015, 1005, 1026, 11829, 2909, 26006, 1054, 3284, 1009, 4449, 1005, 16250, 1213, 31324, 1551, 2303, 1043, 9475, 1026, 1561, 2284, 21312, 1054, 2277, 8248, 5626, 4564, 1187, 2138, 2365, 1072, 8556, 1294, 21534, 1322, 1026, 3845, 9617, 11488, 1063, 6973, 2284, 1581, 1188, 1006, 5865, 1890, 1124, 14673, 3273, 1511, 4209, 1159, 1026, 9221, 1018, 3426, 21361, 1348, 1049, 2421, 4140, 7444, 3322, 2408, 1132, 9191, 1009, 7925, 1072, 8556, 1005, 7444, 5674, 1069, 3838, 4281, 1114, 5732, 2271, 2276, 1533, 4253, 5631, 1044, 4449, 1009, 5260, 1136, 1882, 1005, 1058, 18386, 1159, 1044, 18627, 10547, 1213, 5548, 1054, 1235, 30255, 1043, 1132, 12685, 1005, 8326, 1009, 5556, 15445, 1533, 4253, 1072, 2788, 1049, 6872, 1060, 3578, 18, 1288, 1044, 4249, 1009, 1359, 9601, 1060, 6755, 1009, 4365, 8469, 1051, 1105, 4358, 2277, 1006, 10129, 1084, 1546, 7704, 10151, 3144, 4047, 32, 12355, 1050, 13163, 13101, 12457, 1026, 1048, 6470, 1717, 3230, 8, 6033, 4033, 6204, 1132, 19703, 1248, 4571, 2241, 1224, 3597, 1043, 1006, 7565, 3793, 6613, 25083, 9628, 8677, 4365, 20654, 8677, 1538, 1956, 1441, 79, 13, 1406, 1054, 5231, 1006, 1094, 3610, 1009, 26895, 25083, 2314, 4448, 1229, 1044, 1720, 6715, 1318, 1118, 1044, 2317, 1055, 30957, 1009, 4365, 8469, 1051, 1105, 1056, 1009, 25336, 1504, 2758, 1497, 5836, 1368, 1832, 1291, 3301, 57, 7393, 16381 ]

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

[ 2170, 1992, 1159, 5806, 1160, 1298, 10705, 1198, 1420, 8386, 8, 7550, 1058, 7955, 1005, 1058, 5766, 1236, 1094, 1765, 2984, 1272, 4073, 1048, 1094, 1765, 2984, 1272, 2374, 1895, 2166, 1132, 4496, 6863, 3634, 1178, 3249, 24086, 1797, 17501, 1094, 8564, 3568, 14181, 32, 1132, 1765, 2984, 1452, 3634, 3871, 1048, 1006, 8564, 1048, 4099, 11505, 1058, 14881, 1184, 2512, 1049, 1048, 2089, 2896, 5129, 1006, 3311, 1009, 19883, 22508, 1006, 10403, 20725, 6942, 1077, 3482, 1021, 6160, 1094, 3865, 25491, 32, 1976, 5265, 1702, 2446, 1009, 15650, 71, 1048, 1006, 2779, 3736, 17083, 1533, 4822, 1130, 1026, 3790, 4114, 32, 1058, 1132, 4496, 6863, 11452, 7148, 3607, 1616, 1058, 30076, 1184, 11390, 3812, 1014, 1094, 8369, 28218, 32, 1006, 8369, 4145, 1023, 1014, 4195, 17675, 1005, 22955, 1213, 2417, 20290, 2838, 5294, 1322, 4440, 26167, 32, 1178, 1184, 3838, 1048, 1734, 4440, 1206, 1495, 1592, 25366, 1043, 1857, 1068, 16703, 1006, 18618, 1060, 1765, 2984, 1272, 3812, 1014, 1044, 24406, 32, 1132, 11898, 15216, 1206, 13505, 1010, 1693, 3871, 1006, 18618, 1060, 1765, 2984, 1272, 6383, 1093, 2435, 3790, 2070, 8866, 1026, 3790, 1009, 1734, 6780, 1298, 1178, 29996, 24009, 1518, 88, 1026, 5762, 2115, 7367, 21824, 1271, 7129, 5629, 32, 1044, 14983, 4818, 1049, 2497, 4291, 7005, 1026, 3790, 1060, 2779, 1233, 1765, 2984, 1272, 3301, 2267, 3419, 1049, 20383, 1503, 2598, 3012, 13101, 1048, 1026, 2092, 3872, 3489, 1976, 1178, 1927, 1006, 1224, 1712, 31658, 8, 2904, 12893, 1271, 1765, 2984, 1758, 3564, 1669, 2745, 1124, 1765, 2984, 1758, 1327, 26339, 1054, 7441, 1005, 1009, 29541, 7863, 8466, 28019, 1006, 1765, 2984, 1272, 1058, 2064, 5892, 1006, 1044, 7620, 2671, 1118, 11855, 2939, 3214, 3589, 15961, 3589, 4245, 3589, 4534, 27956, 1009, 29541, 2762, 1132, 1765, 2984, 1452, 21206, 1044, 7838, 5903, 1069, 1206, 26527, 1118, 14654, 4908, 2268, 4548, 2089, 23621, 7109, 18, 1159, 1006, 8846, 1294, 7963, 8027, 1402, 2309, 1765, 2984, 8473, 4378, 6228, 4145, 4599, 1006, 2125, 3714, 13593, 27694, 21038, 1005, 2743, 5098, 32, 3530, 4440, 18746, 9462, 1026, 3603, 1049, 2497, 1068, 11074, 1044, 2017, 7838, 2098, 21038, 5098, 1005, 21060, 32, 3057, 6204, 1132, 4440, 16353, 11186, 1043, 1094, 12015, 20609, 15047, 1054, 2089, 9783, 1043, 1006, 11468, 3267, 1533, 1088, 11373, 3568, 2386, 1206, 4488, 1390, 18, 16629, 1206, 11551, 1094, 4087, 1048, 1325, 2247, 1049, 3603, 1049, 18529, 10497, 4440, 18746, 1946, 1024, 1006, 8558, 1049, 2671, 1054, 1044, 2497, 7951, 1206, 5560, 1558, 1188, 25074, 19871, 5593, 1026, 2671, 4441, 3251, 25441, 1060, 4751, 1765, 2984, 1091, 5640, 1765, 2984, 1452, 1693, 2071, 3251, 10291, 3946, 1391, 1068, 8236, 1132, 1456, 1969, 10433, 1764, 1132, 4496, 32, 3961, 4527, 2166, 9246, 15123, 8377, 9226, 2248, 1876, 2952, 1005, 5098, 6892, 1043, 6298, 1141, 11869, 5735, 2994, 4527, 23091, 1026, 2490, 1060, 7427, 1096, 3707, 1463, 1765, 2984, 15987, 1124, 6306, 1048, 16944, 2071, 1327, 1009, 8178, 88, 4851, 2170, 1159, 30353, 1026, 8359, 1876, 2098, 3380, 1165, 4565, 32, 2328, 1060, 16858, 16353, 10889, 1124, 23977, 1005, 1132, 14675, 1060, 17224, 3360, 3267, 2950, 29673, 11873, 7165, 2952, 32, 1068, 3524, 3790, 1005, 8130, 11549, 1006, 17224, 1124, 3638, 1005, 8377, 2952, 1327, 2739, 2624, 2089, 1271, 8718, 13592, 2309, 4440, 1765, 2984, 1452, 1533, 3554, 1876, 2952, 1005, 5098, 32, 1006, 4173, 1005, 28140, 1582, 1054, 18152, 1011, 5636, 3589, 27890, 1005, 1495, 11737, 7769, 1096, 2143, 1187, 25441, 1271, 1765, 2984, 1758, 6843, 23893, 2310, 32, 1026, 3790, 4750, 1096, 1094, 1807, 5955, 6495, 1118, 1616, 1124, 1765, 2984, 1758, 16532, 3898, 4882, 3590, 4559, 2668, 4800, 1009, 30754, 1048, 1124, 1765, 2984, 1758, 1058, 22794, 1524, 1046, 1006, 1734, 4440, 3746, 1361, 1048, 5036, 2490, 1049, 8359, 1876, 1005, 1271, 8178, 88, 1509, 1728, 20189, 1099, 79, 15639, 1160, 1096, 29124, 10662, 1132, 6863, 1048, 13243, 2481, 1026, 1235, 16522, 1005, 3189, 1566, 1327, 8903, 5613, 21716, 2873, 1170, 1049, 1717, 1363, 4309, 1876, 1467, 3961, 1717, 1026, 8359, 1876, 1096, 3806, 1009, 1717, 1363, 4309, 9144, 1766, 1090, 2585, 1124, 5298, 1005, 9134, 1009, 3227, 1327, 1132, 3145, 9449, 1048, 22602, 83, 2122, 18847, 1377, 11955, 1184, 6186, 1605, 9383, 1009, 10339, 10084, 1058, 4768, 1006, 1094, 6704, 1060, 3832, 1009, 8029, 1049, 3525, 1146, 1291, 11463, 11903, 1916, 2200, 7845, 1048, 1124, 3235, 16061, 1006, 6825, 30137, 2682, 1456, 6044, 2444, 2813, 1452, 1679, 14200, 1009, 9004, 10934, 3782, 1096, 3330, 1068, 20509, 1026, 0, 1605, 6056, 20141, 1876, 1072, 2011, 15402, 1178, 5077, 1094, 16376, 20, 1551, 10531, 2739, 1783, 5534, 1046, 2122, 10525, 1511, 5036, 1094, 6521, 1009, 7176, 20, 1776, 2268, 2122, 11589, 1048, 3902, 1026, 3603, 1009, 1752, 4674, 16590, 1005, 18492, 1298, 1178, 7356, 1044, 0, 4354, 2631, 14742, 1009, 6730, 4666, 18861, 6119, 2374, 1044, 1187, 3460, 6660, 1048, 1006, 7061, 1298, 1294, 2997, 20, 1073, 2646, 1054, 2220, 1026, 1557, 1048, 1299, 5103, 1072, 10864, 1603, 1299, 6678, 1213, 1235, 2790, 4327, 1043, 2306, 4172, 6242, 0, 6174, 2625, 2317, 1018, 1060, 25654, 2327, 3842, 1832, 1467, 25654, 2327, 3842, 1832, 13350, 2625, 5480, 1005, 2350, 8545, 2643, 31185, 1272, 2247, 1049, 2803, 1054, 1048, 1058, 13243, 1716, 5730, 20, 31435, 1006, 4493, 1009, 5574, 1005, 4966, 1159, 1327, 1456, 2625, 7285, 1554, 8144, 4313, 1327, 1495, 18648, 5151, 28463, 1138, 2863, 1096, 1048, 0, 1759, 1079, 17569, 2408, 1054, 6730, 1026, 1048, 3002, 1663, 13719, 1014, 17569, 2408, 1054, 6730, 1044, 5497, 1048, 1318, 1096, 3201, 1159, 1150, 7280, 9052, 12670, 1406, 1096, 1094, 6723, 1048, 10013, 2350, 9913, 7630, 1006, 5699, 6345, 1616, 4172, 1178, 4947, 1159, 1094, 5955, 6495, 1094, 1472, 1048, 4088, 12793, 1005, 21609, 8435, 1298, 7005, 2653, 0, 1467, 20885, 1009, 1080, 5012, 2703, 32, 1094, 5946, 3467, 1467, 20885, 1009, 1080, 5012, 2703, 3135, 1009, 1044, 7970, 16812, 1005, 1006, 10870, 3747, 1060, 4300, 1071, 3640, 14287, 2155, 3684, 1004, 1930, 1118, 6781, 1006, 6228, 1048, 16092, 20, 10634, 1687, 24864, 1009, 1094, 2987, 6758, 11716, 1006, 1094, 20885, 3842, 1832, 20, 14176, 5521, 2177, 0, 1, 1207, 1965, 1248, 1009, 4365, 8469, 1051, 1105, 1056, 15922, 1046, 13329, 1009, 7685, 21768, 1072, 8556, 1152, 2614, 30552, 23823, 1147, 40, 1041, 2555, 1085, 1730, 6020, 1041, 32, 20003, 23, 2708, 1691, 1500, 78, 6020, 1041, 32, 5843, 2944, 2525, 6795, 29, 5, 63, 75, 7011, 6020, 1041, 32, 1422, 2414, 11548, 2084, 26, 5235, 3996, 1965, 1248, 1009, 4365, 8469, 1051, 1105, 1056, 15922, 1046, 13329, 1009, 7685, 21768, 1072, 8556, 1940, 10747, 24122, 14465, 1479, 30407, 1009, 4149, 19939, 79, 2135, 4149, 19939, 1291, 2503, 1279, 1492, 1009, 7685, 1114, 3444, 2952, 8556, 1009, 2823, 2765, 21079, 2271, 8326, 1009, 5556, 1006, 8022, 3963, 1041, 10158, 1596, 9678, 1009, 19703, 1248, 3068, 9307, 1890, 3229, 1005, 15922, 1312, 1043, 7220, 1054, 5978, 1049, 2670, 1009, 4365, 8469, 1051, 1105, 4358, 3015, 3551, 11647, 95, 1192, 5260, 1136, 1882, 18, 15027, 1026, 3761, 7233, 16864, 1092, 95, 1095, 8, 13906, 1124, 6535, 29746, 1826, 1431, 2238, 76, 18351, 7685, 1009, 7471, 1009, 19783, 1159, 1587, 23438, 13638, 1034, 6883, 1730, 1054, 26217, 1026, 3761, 7719, 15860, 19710, 90, 1005, 1026, 4346, 1009, 3246, 8025, 2789, 1034, 1119, 1997, 10107, 18, 3135, 1026, 2717, 3424, 1431, 2238, 76, 1096, 1210, 25794, 4594, 20, 1587, 23438, 1096, 5091, 5167, 8, 5613, 7220, 5241, 1132, 4732, 24417, 24519, 31468, 8, 1005, 7233, 1078, 4565, 31468, 8, 1005, 1006, 26852, 3807, 4737, 1096, 1094, 4671, 1080, 1684, 1095, 1140, 25083, 9549, 1482, 1083, 12686, 1294, 1050, 13163, 1419, 20, 5139, 9208, 37, 12463, 1222, 30675, 8, 12448, 24519, 19939, 79, 1206, 19939, 3382, 1318, 3806, 1009, 28198, 1587, 22712, 1327, 5169, 13724, 1102, 1068, 1006, 4149, 1890, 1026, 4415, 1365, 1132, 1646, 1009, 23455, 1005, 24751, 1511, 1026, 1235, 2671, 1516, 26527, 1118, 30859, 22206, 1005, 1356, 5428, 2769, 21862, 1187, 19400, 3816, 15354, 1184, 3201, 1159, 5428, 19939, 1291, 1533, 3164, 1058, 4768, 1213, 1531, 1049, 13743, 72, 2477, 1177, 13751, 1072, 1428, 1132, 1009, 4365, 8469, 1051, 1105, 1056, 4343, 18465, 1058, 9656, 1046, 2220, 1026, 1622, 10470, 1213, 20582, 5474, 5260, 1136, 1882, 3812, 14987, 1009, 1094, 8116, 1048, 18668, 23282, 1114, 15885, 1005, 23178, 27363, 7639, 1043, 2539, 3825, 6578, 3662, 1365, 1857, 18705, 1005, 10877, 1048, 5225, 2644, 1006, 5351, 1054, 1235, 5449, 1043, 3411, 1009, 18452, 1009, 4365, 8469, 1051, 1105, 1056, 5653, 2143, 6079, 1026, 2671, 1009, 4760, 1103, 1626, 21279, 3004, 12186, 1009, 27421, 1398, 1416, 1054, 1235, 5449, 1006, 71, 14119, 1009, 675, 130, 1179, 1093, 1185, 1321, 18, 15311, 1048, 1224, 4281, 1150, 4822, 1199, 8971, 1068, 1006, 4272, 4345, 1005, 1006, 3227, 30738, 2671, 1009, 4760, 1103, 1626, 4979, 1048, 1224, 4281, 1150, 4822, 1199, 8971, 1068, 1006, 4272, 4345, 1406, 1005, 4567, 1048, 1006, 18705, 4505, 8416, 1043, 1150, 1656, 1056, 3247, 1452, 14086, 1573, 1005, 8405, 1573, 1406, 2115, 1136, 1882, 2844, 1065, 1079, 2457, 1026, 1048, 2521, 1043, 1048, 8904, 1123, 1088, 1133, 1770, 1993, 1068, 15049, 1026, 22524, 30675, 1114, 31724, 1377, 8904, 1123, 1088, 1133, 1096, 1026, 15763, 1009, 4760, 1103, 1626, 6033, 9707, 3404, 1009, 3403, 1479, 6771, 1048, 1026, 11829, 5178, 9101, 17656, 1861, 1157, 1322, 1124, 3540, 1049, 8556, 1463, 9078, 18070, 1026, 2417, 1225, 5413, 1044, 3311, 7850, 1072, 6220, 1063, 8596, 1009, 11829, 2284, 28718, 2916, 1009, 2595, 1118, 13707, 1072, 1908, 1072, 1901, 7755, 2284, 19350, 1006, 2751, 25679, 1049, 8556, 1068, 1026, 1561, 1233, 1587, 1088, 7174, 1184, 1048, 1026, 23885, 1049, 4758, 1009, 2523, 1118, 13707, 1060, 8596, 1086, 10107, 1230, 3943, 1561, 1516, 1044, 5152, 1009, 4758, 1068, 1026, 28233, 1054, 5015, 1005, 1054, 8596, 1406, 2284, 19350, 1134, 1648, 1183, 2079, 1024, 5526, 1054, 6521, 20, 6472, 1101, 10847, 2097, 1006, 17399, 1009, 1006, 7461, 1009, 25522, 2601, 1589, 1044, 4758, 11524, 1009, 1006, 2068, 1009, 5015, 1054, 1026, 6402, 1006, 17399, 1009, 1006, 2900, 1118, 7925, 1054, 1557, 2733, 1890, 1124, 19734, 1054, 1026, 2293, 2284, 27795, 4209, 1068, 1006, 8790, 1126, 2284, 3701, 1069, 16550, 8106, 1026, 2285, 1009, 5015, 10138, 26892, 1054, 2220, 1026, 1784, 12814, 1422, 1118, 13707, 1072, 5512, 16333, 1322, 1044, 1901, 11449, 5756, 1044, 16170, 1009, 1578, 1118, 13707, 1072, 3878, 5064, 3099, 1009, 9330, 1184, 8403, 1072, 12381, 2277, 16550, 3316, 1472, 1048, 1006, 7461, 1009, 25522, 5898, 1681, 9916, 1005, 1006, 25679, 30652, 1048, 1837, 1184, 3182, 1068, 9330, 1072, 6220, 8384, 1054, 1026, 8556, 6617, 1118, 13707, 1009, 1132, 7178, 2829, 27667, 1118, 2191, 1009, 6486, 31234, 13511, 26330, 1118, 13707, 4999, 1532, 20, 6472, 1083, 4183, 1006, 21189, 1582, 1009, 25522, 6675, 1411, 2277, 1026, 1156, 2005, 1292, 20, 3782, 1225, 12242, 16364, 2739, 14196, 1009, 4639, 1072, 3878, 1592, 1043, 1006, 5337, 1054, 1094, 10423, 1494, 1262, 3320, 10682, 18146, 1048, 1132, 11787, 1054, 11829, 6272, 1072, 1908, 6583, 28718, 2224, 1118, 13707, 1072, 1901, 7755, 1068, 9930, 26, 6616, 1009, 20887, 1009, 2303, 1043, 1026, 2417, 1156, 5881, 6220, 1063, 25679, 1049, 8556, 2284, 19350, 1048, 1224, 6973, 1068, 14072, 5015, 1005, 1026, 11829, 2909, 26006, 1054, 3284, 1009, 4449, 1005, 16250, 1213, 31324, 1551, 2303, 1043, 9475, 1026, 1561, 2284, 21312, 1054, 2277, 8248, 5626, 4564, 1187, 2138, 2365, 1072, 8556, 1294, 21534, 1322, 1026, 3845, 9617, 11488, 1063, 6973, 2284, 1581, 1188, 1006, 5865, 1890, 1124, 14673, 3273, 1511, 4209, 1159, 1026, 9221, 1018, 3426, 21361, 1348, 1049, 2421, 4140, 7444, 3322, 2408, 1132, 9191, 1009, 7925, 1072, 8556, 1005, 7444, 5674, 1069, 3838, 4281, 1114, 5732, 2271, 2276, 1533, 4253, 5631, 1044, 4449, 1009, 5260, 1136, 1882, 1005, 1058, 18386, 1159, 1044, 18627, 10547, 1213, 5548, 1054, 1235, 30255, 1043, 1132, 12685, 1005, 8326, 1009, 5556, 15445, 1533, 4253, 1072, 2788, 1049, 6872, 1060, 3578, 18, 1288, 1044, 4249, 1009, 1359, 9601, 1060, 6755, 1009, 4365, 8469, 1051, 1105, 4358, 2277, 1006, 10129, 1084, 1546, 7704, 10151, 3144, 4047, 32, 12355, 1050, 13163, 13101, 12457, 1026, 1048, 6470, 1717, 3230, 8, 6033, 4033, 6204, 1132, 19703, 1248, 4571, 2241, 1224, 3597, 1043, 1006, 7565, 3793, 6613, 25083, 9628, 8677, 4365, 20654, 8677, 1538, 1956, 1441, 79, 13, 1406, 1054, 5231, 1006, 1094, 3610, 1009, 26895, 25083, 2314, 4448, 1229, 1044, 1720, 6715, 1318, 1118, 1044, 2317, 1055, 30957, 1009, 4365, 8469, 1051, 1105, 1056, 1009, 25336, 1504, 2758, 1497, 5836, 1368, 1832, 1291, 3301, 57, 7393, 16381 ]

[ 1057, 1066, 1108, 1055, 1005, 1006, 11589, 1009, 21523, 1930, 1160, 1919, 1657, 5085, 1233, 16051, 1009, 1457, 2166, 1005, 1213, 12115, 20, 16056, 1318, 1009, 1044, 21571, 1009, 8436, 2176, 1009, 13396, 89, 1557, 5322, 1005, 19480, 2761, 6997, 1063, 5710, 3306, 1997, 2044, 1273, 6391, 1349, 4955, 1094, 2618, 24858, 2528, 7948, 1118, 1384, 4753, 1009, 5475, 21805, 1009, 1044, 5449, 1493, 4788, 20, 2597, 22677, 1009, 26608, 1009, 3129, 1096, 1026, 1720, 1060, 5475, 1060, 1428, 1006, 25646, 2271, 7230, 14908, 9219, 19367, 1048, 1693, 1178, 9912, 1114, 7140, 20, 1063, 5475, 3396, 1114, 17342, 1118, 3005, 1132, 8048, 3036, 1693, 1318, 1178, 15099, 20, 7509, 6204, 15673, 3987, 3154, 1272, 17462, 1009, 5878, 1646, 2730, 5449, 1048, 3004, 1096, 12071, 4039, 2309, 5850, 1005, 5341, 1229, 1006, 8336, 1009, 12513, 4214, 10716, 1006, 7140, 18, 1716, 28886, 1160, 1657, 1026, 22034, 2526, 28465, 1309, 1026, 1048, 1160, 1058, 5662, 1005, 1160, 3134, 2823, 31355, 1519, 1479, 1006, 4981, 1005, 10567, 1009, 9473, 1009, 1044, 2823, 10764, 1006, 5680, 11572, 23013, 1048, 16064, 1046, 1044, 2269, 1072, 3182, 1057, 1148, 1233, 3028, 26608, 1704, 4449, 2128, 13308, 16762, 1016, 1551, 1082, 1053, 6323, 2708, 15, 4955, 1044, 28450, 73, 4756, 2011, 1009, 25162, 1048, 12317, 14424, 1043, 1006, 3733, 23328, 2044, 1728, 1764, 2128, 13308, 1033, 1202, 1018, 1009, 1384, 4753, 1048, 9898, 3844, 8043, 1104, 1219, 1294, 4955, 2730, 21571, 1048, 10752, 1006, 5099, 1049, 4577, 1068, 1026, 5109, 1009, 4384, 24366, 2073, 3616, 1048, 19898, 1026, 19472, 1365, 7401, 1005, 1160, 7401, 1048, 24400, 1352, 1054, 2693, 1006, 7140, 4908, 4975, 1989, 9179, 18, 1005, 1233, 1751, 1060, 7461, 1009, 5850, 1043, 3596, 7984, 1005, 10769, 6818, 18, 1159, 1026, 8395, 2586, 1026, 1006, 4452, 1206, 30364, 4292, 1044, 7228, 1365, 5680, 3974, 1005, 1734, 32, 1026, 1429, 29345, 1006, 1268, 3097, 1005, 1006, 26608, 1009, 5475, 20, 1138, 5862, 17041, 1352, 1114, 7743, 2112, 1005, 1114, 1315, 4405, 1060, 14044, 1048, 5420, 1044, 9179, 1233, 7140, 1005, 1233, 2064, 7317, 1009, 1807, 1751, 1187, 2116, 1554, 2858, 9179, 1068, 1026, 1428, 1026, 3266, 12115, 1294, 2232, 1046, 6284, 2340, 1058, 1026, 12115, 1298, 1178, 30679, 1005, 31926, 1100, 9898, 3844, 8043, 1104, 1219, 4351, 8396, 2122, 7779, 10764, 1049, 12115, 1479, 1094, 2064, 7317, 16806, 2528, 1159, 1114, 5710, 4509, 151, 1498, 1273, 6391, 1349, 1309, 10716, 1094, 19824, 3378, 8523, 1159, 1114, 3733, 4228, 1095, 5012, 18, 6391, 13747, 1944, 5710, 1048, 1298, 1178, 4350, 1114, 7140, 18, 1094, 1319, 11287, 26083, 1043, 10907, 1009, 19317, 1072, 9616, 1060, 4558, 1014, 1411, 1096, 1044, 10516, 1048, 13234, 1043, 1026, 12115, 1072, 1235, 2497, 21551, 20, 14935, 1026, 19317, 1044, 4577, 15936, 2408, 1357, 6035, 1479, 1005, 1048, 2009, 1352, 1072, 3129, 1072, 1235, 2011, 1072, 3428, 1049, 10516, 16985, 1072, 2535, 1009, 25071, 18, 1006, 1746, 27428, 1341, 1149, 1187, 1456, 5278, 1054, 3129, 20707, 2823, 1072, 17353, 12327, 1157, 8396, 1006, 11542, 1044, 10516, 1006, 6631, 1044, 3439, 1048, 1294, 1884, 2154, 1118, 6360, 5484, 1006, 9775, 4882, 1533, 76, 8409, 1318, 4800, 1178, 3230, 1132, 8048, 3036, 23151, 75, 9252, 1387, 1135, 2045, 31175, 1678, 1009, 9898, 3844, 8043, 1104, 1219, 1325, 20847, 1114, 22523, 1142, 5356, 47, 49, 69, 1495, 3295, 1009, 3268, 3482, 1095, 1545, 21715, 6391, 8914, 8914, 11479, 1133, 6458, 3141, 1045, 10823, 7860, 89, 3008, 1316, 8838, 1006, 1106, 1780, 5838, 1006, 6790, 1117, 22445, 1220, 1545, 18054, 6391, 2503, 23795, 17187, 1005, 17367, 11236, 21075, 1479, 3773, 71, 1114, 20101, 1114, 2193, 20421, 1081, 2324, 1220, 1545, 21715, 6391, 4354, 1119, 168, 13993, 29543, 32, 3512, 21456, 5742, 12089, 1005, 17367, 29989, 1027, 1114, 19751, 4708, 14413, 1060, 5827, 2324, 1220, 1545, 21140, 6391, 12796, 3363, 1093, 4434, 3341, 1018, 3662, 1026, 10499, 2875, 4315, 4434, 1605, 2733, 1876, 24063, 1009, 3236, 4763, 1062, 13818, 1005, 1026, 5029, 8287, 30412, 1009, 2878, 158, 27559, 1066, 3141, 1497, 2376, 10910, 3141, 1497, 2376, 10910, 8126, 2787, 3167, 71, 1009, 1842, 12003, 9339, 1349, 1096, 4538, 3013, 23074, 21028, 1930, 12608, 3234, 1054, 7564, 1060, 10135, 2094, 16149, 19, 1397, 1297, 1140, 1054, 20568, 27117, 4405, 15, 1005, 8349, 1054, 6365, 1060, 8713, 25830, 1126, 1357, 8438, 1009, 7564, 18147, 1005, 6268, 5817, 1060, 2828, 3047, 1009, 26036, 11828, 1026, 2417, 1009, 8274, 1054, 16760, 18, 20568, 1005, 9522, 4015, 24286, 46, 21, 47, 4186, 58, 1349, 2271, 16669, 7029, 2021, 1046, 6256, 1132, 5242, 2147, 1365, 6194, 5222, 2565, 9976, 1005, 25635, 1006, 29118, 4550, 1342, 1005, 1026, 9772, 20, 8602, 1751, 1060, 1224, 4751, 1159, 4538, 15040, 4166, 11423, 6843, 1529, 9428, 19893, 1982, 77, 10594, 5027, 1020, 6170, 5901, 1809, 23520, 5, 1162, 92, 1898, 27531, 2642, 2260, 2555, 78, 22052, 2186, 14054, 78, 3841, 5, 21149, 1714, 2285, 4093, 86, 1439, 15121, 20, 2487, 1014, 3923, 24794, 89, 13399, 1576, 20659, 9690, 1467, 23205, 1188, 1383, 4066, 24794, 89, 13399, 1006, 10127, 29792, 1071, 16016, 9214, 15, 10806, 30205, 1006, 9598, 1009, 25227, 25400, 20271, 17011, 5067, 1144, 50, 44, 19188, 116, 1234, 2858, 72, 1477, 24313, 24794, 89, 7128, 1006, 3028, 26768, 29792, 25386, 20659, 9690, 1467, 23205, 1188, 1383, 4066, 24794, 89, 13399, 1006, 10127, 29792, 1071, 16016, 9214, 15, 10806, 30205, 1006, 9598, 1009, 25227, 13758, 1699, 1006, 2858, 72, 1477, 17672, 5891, 6398, 16296, 4990, 11632, 8189, 20235, 1068, 3032, 14079, 2701, 2788, 11643, 9983, 1068, 6588, 1094, 1853, 3513, 1213, 2111, 8341, 4116, 16321, 1072, 2788, 1325, 1006, 15712, 1130, 1006, 1224, 7461, 2338, 81, 50, 1014, 1184, 1, 29108, 2237, 15241, 3234, 1118, 2263, 15349, 1005, 3135, 1009, 5000, 168, 3150, 9072, 1299, 1298, 1058, 19185, 19578, 5645, 4095, 1168, 3369, 22334, 1145, 1043, 1006, 2360, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 20, 19251, 10951, 2290, 28557, 11777, 5788, 116, 18, 1006, 19141, 1014, 22044, 4279, 1048, 1299, 4038, 75, 1495, 1026, 8537, 1542, 15482, 2526, 1072, 29460, 12877, 1005, 1801, 2918, 1495, 3319, 13932, 1305, 8307, 4883, 1094, 12655, 1009, 5290, 1245, 85, 6297, 28472, 1159, 1299, 1298, 5115, 1224, 19141, 1014, 22044, 2330, 1410, 1497, 32, 8018, 24408, 1371, 1054, 1224, 2612, 28557, 11777, 5788, 2328, 1049, 10736, 72, 3624, 11777, 5788, 1005, 7960, 1350, 1224, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 1114, 8626, 17382, 1093, 3945, 8, 2904, 3575, 1094, 2360, 2612, 28557, 11777, 5788, 1054, 10736, 72, 3624, 11777, 5788, 2457, 1005, 1006, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 2177, 29095, 1054, 1224, 2612, 8863, 1059, 8849, 4096, 1026, 5804, 1049, 2666, 1009, 1044, 14856, 1005, 1072, 2803, 1009, 5808, 8416, 1043, 1224, 2612, 28557, 11777, 5788, 18, 1006, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 2177, 29095, 1054, 1224, 2612, 8863, 4908, 1133, 1048, 2350, 22039, 1049, 2666, 1327, 2367, 9185, 1054, 7685, 19141, 1014, 22044, 20, 15560, 1026, 11974, 1005, 1124, 17741, 3898, 1312, 1213, 6534, 1006, 19141, 1014, 22044, 3775, 8863, 3000, 1312, 1233, 1224, 2612, 2535, 2349, 1236, 1663, 1026, 11115, 16841, 1068, 1006, 3069, 6066, 1009, 5290, 1245, 85, 19610, 1005, 1124, 12156, 1060, 19141, 1014, 22044, 3775, 10072, 1580, 4578, 1184, 2266, 1005, 1006, 2919, 6066, 1009, 2367, 1092, 4650, 19246, 1006, 3922, 1009, 22502, 1016, 30225, 1452, 1009, 5290, 1245, 85, 6297, 19141, 1014, 22044, 20, 1, 1482, 20522, 13683, 2343, 1326, 1014, 1195, 4553, 1357, 3649, 1009, 3163, 1544, 1009, 7880, 1005, 15250, 1009, 7661, 1068, 1124, 5426, 13327, 1009, 8600, 3653, 21199, 1, 11955, 1026, 6840, 1322, 5802, 1009, 5870, 1060, 7631, 23, 20047, 1482, 1162, 13668, 26352, 8532, 13168, 17490, 11216, 1037, 10177, 19520, 11117, 89, 2604, 6112, 1013, 1506, 17229, 1123, 5076, 1283, 6566, 1032, 1129, 4578, 10889, 1006, 27816, 1187, 4209, 1009, 8067, 8022, 6510, 6563, 6160, 1005, 8421, 1787, 2693, 1006, 3513, 1118, 2191, 1009, 1094, 9546, 2987, 1009, 9774, 3284, 1005, 5684, 1184, 5199, 8473, 9520, 1118, 16027, 19176, 6840, 18, 1299, 5758, 150, 1898, 2267, 8022, 1043, 8718, 1009, 11174, 6272, 1826, 5465, 11890, 1132, 11409, 1005, 2532, 8882, 1124, 6433, 5653, 1048, 1096, 6740, 1068, 1132, 23855, 1009, 5641, 1005, 1009, 18273, 25366, 1213, 2837, 1006, 3513, 1049, 4174, 7550, 11074, 1094, 6973, 6272, 10021, 1005, 19878, 1068, 1026, 4409, 1068, 7304, 1726, 3606, 14448, 1187, 4209, 1533, 23423, 1324, 1026, 25105, 1060, 15764, 72, 1324, 2358, 13069, 14377, 15764, 3921, 19307, 2320, 1079, 10214, 1026, 25105, 15764, 3921, 13563, 18, 19307, 21677, 1005, 1587, 7486, 1327, 8340, 25022, 1206, 8340, 7958, 1060, 15764, 3921, 1294, 2138, 2365, 8826, 1734, 19879, 13044, 1124, 2089, 8340, 7958, 1327, 4336, 1009, 1456, 17489, 14467, 20, 1, 1424, 1006, 10996, 1060, 3023, 1060, 18571, 71, 1005, 1043, 1006, 3583, 1009, 4731, 1043, 5625, 11707, 12376, 18178, 4713, 8383, 1026, 2666, 1114, 2750, 12721, 5615, 1009, 1044, 2695, 1179, 1291, 1048, 1836, 1493, 15513, 1006, 10461, 1495, 2276, 20, 12151, 3689, 4966, 1026, 1048, 1058, 3475, 7, 21664, 1009, 1094, 1944, 1751, 1054, 1048, 3475, 1118, 2350, 1271, 8272, 1048, 2257, 5239, 1114, 6396, 11535, 1005, 2364, 1043, 1094, 3484, 12907, 1309, 1058, 24234, 23751, 1229, 1318, 2257, 6786, 11707, 1026, 1134, 8892, 4284, 14386, 1379, 1184, 12606, 1005, 4713, 4260, 3033, 1371, 1213, 1235, 7730, 3335, 3137, 4710, 1044, 2863, 1009, 14923, 1048, 19915, 1566, 2257, 4766, 1188, 12904, 39, 85, 10063, 15519, 1048, 1929, 8587, 13182, 1184, 1026, 21282, 1665, 1068, 3994, 1049, 11989, 2106, 2093, 1819, 1026, 3258, 2801, 1005, 1026, 9584, 13814, 1006, 1514, 3890, 1184, 1118, 2453, 626, 1759, 1640, 5398, 18178, 27927, 2938, 1009, 19950, 9263, 80, 17635, 3404, 10546, 9699, 10122, 1134, 8892, 4284, 6192, 1006, 4659, 1054, 3428, 1043, 1094, 3023, 1009, 31937, 26, 94, 25, 94, 2394, 3702, 1043, 2088, 4731, 1043, 5625, 2625, 12527, 1048, 31753, 1114, 5745, 1271, 4429, 1400, 1072, 2268, 2039, 2644, 8272, 9839, 1054, 5300, 1132, 24238, 1424, 9584, 13814, 1005, 12376, 7706, 8639, 1357, 22080, 1847, 1048, 2504, 2241, 25021, 1526, 1026, 18559, 1571, 1006, 5095, 7211, 6424, 90, 13814, 1114, 8643, 1005, 12376, 1184, 1322, 1006, 7116, 15, 1005, 3258, 2801, 1184, 3867, 1006, 11989, 4846, 17651, 1250, 1048, 1026, 9920, 1244, 1162, 1037, 9158, 1049, 3957, 5584, 1291, 1160, 1261, 19992, 1006, 4744, 1114, 6396, 3734, 1195, 1006, 3971, 1009, 6030, 26323, 4947, 1048, 2569, 7741, 1493, 24076, 1068, 1663, 1026, 2933, 1100, 7008, 1094, 1807, 20188, 3843, 7509, 8939, 5615, 1049, 2695, 1179, 1291, 1134, 8892, 1006, 2042, 1195, 20751, 12907, 2340, 1006, 8817, 1009, 12376, 18178, 1836, 1043, 2739, 8272, 1054, 5115, 13949, 1026, 1235, 2666, 1005, 2837, 8004, 1244, 1162, 1037, 28095, 1068, 16012, 1006, 1080, 16260, 7730, 14077, 1387, 1385, 1048, 1195, 19087, 1043, 3189, 1213, 10063, 12904, 6107, 22015, 1006, 10830, 1026, 2568, 15461, 1343, 1049, 2695, 1179, 1291, 1005, 1043, 1094, 3023, 1048, 1006, 8817, 1325, 1184, 13724, 2166, 1043, 1184, 6187, 1005, 12769, 1072, 18559, 19390, 1043, 3258, 2801, 1005, 9584, 13814, 1006, 20836, 1208, 1656, 1132, 8004, 1048, 1503, 2572, 1100, 1160, 1009, 1800, 1184, 10694, 1679, 4731, 1049, 2695, 1179, 1291, 626, 1759, 1640, 5398, 18178, 27927, 2938, 1009, 19950, 9263, 80, 17635, 3404, 10546, 9699, 11781, 1078, 28886, 21282, 1665, 1114, 3349, 6892, 1043, 15055, 1005, 1043, 9584, 13814, 1005, 3258, 2801, 1006, 4207, 1387, 1016, 1006, 6534, 1118, 22914, 1132, 7111, 2650, 6468, 4893, 4393, 1975, 12941, 1006, 13459, 76, 150, 1005, 4627, 1128, 2057, 1400, 1847, 1048, 21282, 1665, 3765, 1493, 3790, 1213, 6468, 1669, 3344, 2784, 22574, 2754, 2624, 1072, 7111, 2405, 6468, 1669, 1005, 23037, 1006, 3005, 1318, 5404, 1118, 1178, 1026, 18559, 1048, 1184, 8332, 3708, 1026, 1134, 8892, 4284, 4224, 2652, 1228, 1612, 75, 1005, 12376, 7706, 7949, 1006, 6534, 1044, 1054, 2562, 1049, 11641, 1847, 1048, 1044, 15715, 1114, 8716, 6485, 1184, 6685, 24280, 1213, 2143, 4578, 2247, 1271, 6476, 30167, 24332, 2453, 1009, 16361, 1935, 2433, 6027, 1048, 1132, 4731, 1049, 1134, 8892, 4284, 15666, 1054, 3428, 1114, 2750, 1751, 1043, 1094, 11589, 12907, 3503, 3958, 17456, 1048, 1026, 1235, 6519, 1021, 1348, 4713, 2373, 1013, 1139, 4980, 626, 1006, 6411, 1009, 8900, 1048, 1094, 18571, 71, 1048, 3961, 1356, 3479, 1976, 1261, 18, 6485, 16288, 1044, 1251, 18467, 1009, 7697, 3803, 1, 1063, 29369, 1007, 9391, 1072, 19890, 1049, 24511, 7586, 58, 3748, 1268, 1212, 1330, 5294, 1026, 8575, 1060, 11313, 7, 3713, 2067, 3205, 28512, 1005, 1989, 1195, 1026, 1720, 10921, 1068, 1026, 22225, 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 ]

[ 1057, 1066, 1108, 1055, 1005, 1006, 11589, 1009, 21523, 1930, 1160, 1919, 1657, 5085, 1233, 16051, 1009, 1457, 2166, 1005, 1213, 12115, 20, 16056, 1318, 1009, 1044, 21571, 1009, 8436, 2176, 1009, 13396, 89, 1557, 5322, 1005, 19480, 2761, 6997, 1063, 5710, 3306, 1997, 2044, 1273, 6391, 1349, 4955, 1094, 2618, 24858, 2528, 7948, 1118, 1384, 4753, 1009, 5475, 21805, 1009, 1044, 5449, 1493, 4788, 20, 2597, 22677, 1009, 26608, 1009, 3129, 1096, 1026, 1720, 1060, 5475, 1060, 1428, 1006, 25646, 2271, 7230, 14908, 9219, 19367, 1048, 1693, 1178, 9912, 1114, 7140, 20, 1063, 5475, 3396, 1114, 17342, 1118, 3005, 1132, 8048, 3036, 1693, 1318, 1178, 15099, 20, 7509, 6204, 15673, 3987, 3154, 1272, 17462, 1009, 5878, 1646, 2730, 5449, 1048, 3004, 1096, 12071, 4039, 2309, 5850, 1005, 5341, 1229, 1006, 8336, 1009, 12513, 4214, 10716, 1006, 7140, 18, 1716, 28886, 1160, 1657, 1026, 22034, 2526, 28465, 1309, 1026, 1048, 1160, 1058, 5662, 1005, 1160, 3134, 2823, 31355, 1519, 1479, 1006, 4981, 1005, 10567, 1009, 9473, 1009, 1044, 2823, 10764, 1006, 5680, 11572, 23013, 1048, 16064, 1046, 1044, 2269, 1072, 3182, 1057, 1148, 1233, 3028, 26608, 1704, 4449, 2128, 13308, 16762, 1016, 1551, 1082, 1053, 6323, 2708, 15, 4955, 1044, 28450, 73, 4756, 2011, 1009, 25162, 1048, 12317, 14424, 1043, 1006, 3733, 23328, 2044, 1728, 1764, 2128, 13308, 1033, 1202, 1018, 1009, 1384, 4753, 1048, 9898, 3844, 8043, 1104, 1219, 1294, 4955, 2730, 21571, 1048, 10752, 1006, 5099, 1049, 4577, 1068, 1026, 5109, 1009, 4384, 24366, 2073, 3616, 1048, 19898, 1026, 19472, 1365, 7401, 1005, 1160, 7401, 1048, 24400, 1352, 1054, 2693, 1006, 7140, 4908, 4975, 1989, 9179, 18, 1005, 1233, 1751, 1060, 7461, 1009, 5850, 1043, 3596, 7984, 1005, 10769, 6818, 18, 1159, 1026, 8395, 2586, 1026, 1006, 4452, 1206, 30364, 4292, 1044, 7228, 1365, 5680, 3974, 1005, 1734, 32, 1026, 1429, 29345, 1006, 1268, 3097, 1005, 1006, 26608, 1009, 5475, 20, 1138, 5862, 17041, 1352, 1114, 7743, 2112, 1005, 1114, 1315, 4405, 1060, 14044, 1048, 5420, 1044, 9179, 1233, 7140, 1005, 1233, 2064, 7317, 1009, 1807, 1751, 1187, 2116, 1554, 2858, 9179, 1068, 1026, 1428, 1026, 3266, 12115, 1294, 2232, 1046, 6284, 2340, 1058, 1026, 12115, 1298, 1178, 30679, 1005, 31926, 1100, 9898, 3844, 8043, 1104, 1219, 4351, 8396, 2122, 7779, 10764, 1049, 12115, 1479, 1094, 2064, 7317, 16806, 2528, 1159, 1114, 5710, 4509, 151, 1498, 1273, 6391, 1349, 1309, 10716, 1094, 19824, 3378, 8523, 1159, 1114, 3733, 4228, 1095, 5012, 18, 6391, 13747, 1944, 5710, 1048, 1298, 1178, 4350, 1114, 7140, 18, 1094, 1319, 11287, 26083, 1043, 10907, 1009, 19317, 1072, 9616, 1060, 4558, 1014, 1411, 1096, 1044, 10516, 1048, 13234, 1043, 1026, 12115, 1072, 1235, 2497, 21551, 20, 14935, 1026, 19317, 1044, 4577, 15936, 2408, 1357, 6035, 1479, 1005, 1048, 2009, 1352, 1072, 3129, 1072, 1235, 2011, 1072, 3428, 1049, 10516, 16985, 1072, 2535, 1009, 25071, 18, 1006, 1746, 27428, 1341, 1149, 1187, 1456, 5278, 1054, 3129, 20707, 2823, 1072, 17353, 12327, 1157, 8396, 1006, 11542, 1044, 10516, 1006, 6631, 1044, 3439, 1048, 1294, 1884, 2154, 1118, 6360, 5484, 1006, 9775, 4882, 1533, 76, 8409, 1318, 4800, 1178, 3230, 1132, 8048, 3036, 23151, 75, 9252, 1387, 1135, 2045, 31175, 1678, 1009, 9898, 3844, 8043, 1104, 1219, 1325, 20847, 1114, 22523, 1142, 5356, 47, 49, 69, 1495, 3295, 1009, 3268, 3482, 1095, 1545, 21715, 6391, 8914, 8914, 11479, 1133, 6458, 3141, 1045, 10823, 7860, 89, 3008, 1316, 8838, 1006, 1106, 1780, 5838, 1006, 6790, 1117, 22445, 1220, 1545, 18054, 6391, 2503, 23795, 17187, 1005, 17367, 11236, 21075, 1479, 3773, 71, 1114, 20101, 1114, 2193, 20421, 1081, 2324, 1220, 1545, 21715, 6391, 4354, 1119, 168, 13993, 29543, 32, 3512, 21456, 5742, 12089, 1005, 17367, 29989, 1027, 1114, 19751, 4708, 14413, 1060, 5827, 2324, 1220, 1545, 21140, 6391, 12796, 3363, 1093, 4434, 3341, 1018, 3662, 1026, 10499, 2875, 4315, 4434, 1605, 2733, 1876, 24063, 1009, 3236, 4763, 1062, 13818, 1005, 1026, 5029, 8287, 30412, 1009, 2878, 158, 27559, 1066, 3141, 1497, 2376, 10910, 3141, 1497, 2376, 10910, 8126, 2787, 3167, 71, 1009, 1842, 12003, 9339, 1349, 1096, 4538, 3013, 23074, 21028, 1930, 12608, 3234, 1054, 7564, 1060, 10135, 2094, 16149, 19, 1397, 1297, 1140, 1054, 20568, 27117, 4405, 15, 1005, 8349, 1054, 6365, 1060, 8713, 25830, 1126, 1357, 8438, 1009, 7564, 18147, 1005, 6268, 5817, 1060, 2828, 3047, 1009, 26036, 11828, 1026, 2417, 1009, 8274, 1054, 16760, 18, 20568, 1005, 9522, 4015, 24286, 46, 21, 47, 4186, 58, 1349, 2271, 16669, 7029, 2021, 1046, 6256, 1132, 5242, 2147, 1365, 6194, 5222, 2565, 9976, 1005, 25635, 1006, 29118, 4550, 1342, 1005, 1026, 9772, 20, 8602, 1751, 1060, 1224, 4751, 1159, 4538, 15040, 4166, 11423, 6843, 1529, 9428, 19893, 1982, 77, 10594, 5027, 1020, 6170, 5901, 1809, 23520, 5, 1162, 92, 1898, 27531, 2642, 2260, 2555, 78, 22052, 2186, 14054, 78, 3841, 5, 21149, 1714, 2285, 4093, 86, 1439, 15121, 20, 2487, 1014, 3923, 24794, 89, 13399, 1576, 20659, 9690, 1467, 23205, 1188, 1383, 4066, 24794, 89, 13399, 1006, 10127, 29792, 1071, 16016, 9214, 15, 10806, 30205, 1006, 9598, 1009, 25227, 25400, 20271, 17011, 5067, 1144, 50, 44, 19188, 116, 1234, 2858, 72, 1477, 24313, 24794, 89, 7128, 1006, 3028, 26768, 29792, 25386, 20659, 9690, 1467, 23205, 1188, 1383, 4066, 24794, 89, 13399, 1006, 10127, 29792, 1071, 16016, 9214, 15, 10806, 30205, 1006, 9598, 1009, 25227, 13758, 1699, 1006, 2858, 72, 1477, 17672, 5891, 6398, 16296, 4990, 11632, 8189, 20235, 1068, 3032, 14079, 2701, 2788, 11643, 9983, 1068, 6588, 1094, 1853, 3513, 1213, 2111, 8341, 4116, 16321, 1072, 2788, 1325, 1006, 15712, 1130, 1006, 1224, 7461, 2338, 81, 50, 1014, 1184, 1, 29108, 2237, 15241, 3234, 1118, 2263, 15349, 1005, 3135, 1009, 5000, 168, 3150, 9072, 1299, 1298, 1058, 19185, 19578, 5645, 4095, 1168, 3369, 22334, 1145, 1043, 1006, 2360, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 20, 19251, 10951, 2290, 28557, 11777, 5788, 116, 18, 1006, 19141, 1014, 22044, 4279, 1048, 1299, 4038, 75, 1495, 1026, 8537, 1542, 15482, 2526, 1072, 29460, 12877, 1005, 1801, 2918, 1495, 3319, 13932, 1305, 8307, 4883, 1094, 12655, 1009, 5290, 1245, 85, 6297, 28472, 1159, 1299, 1298, 5115, 1224, 19141, 1014, 22044, 2330, 1410, 1497, 32, 8018, 24408, 1371, 1054, 1224, 2612, 28557, 11777, 5788, 2328, 1049, 10736, 72, 3624, 11777, 5788, 1005, 7960, 1350, 1224, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 1114, 8626, 17382, 1093, 3945, 8, 2904, 3575, 1094, 2360, 2612, 28557, 11777, 5788, 1054, 10736, 72, 3624, 11777, 5788, 2457, 1005, 1006, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 2177, 29095, 1054, 1224, 2612, 8863, 1059, 8849, 4096, 1026, 5804, 1049, 2666, 1009, 1044, 14856, 1005, 1072, 2803, 1009, 5808, 8416, 1043, 1224, 2612, 28557, 11777, 5788, 18, 1006, 19141, 1014, 22044, 1009, 5290, 1245, 85, 6297, 2177, 29095, 1054, 1224, 2612, 8863, 4908, 1133, 1048, 2350, 22039, 1049, 2666, 1327, 2367, 9185, 1054, 7685, 19141, 1014, 22044, 20, 15560, 1026, 11974, 1005, 1124, 17741, 3898, 1312, 1213, 6534, 1006, 19141, 1014, 22044, 3775, 8863, 3000, 1312, 1233, 1224, 2612, 2535, 2349, 1236, 1663, 1026, 11115, 16841, 1068, 1006, 3069, 6066, 1009, 5290, 1245, 85, 19610, 1005, 1124, 12156, 1060, 19141, 1014, 22044, 3775, 10072, 1580, 4578, 1184, 2266, 1005, 1006, 2919, 6066, 1009, 2367, 1092, 4650, 19246, 1006, 3922, 1009, 22502, 1016, 30225, 1452, 1009, 5290, 1245, 85, 6297, 19141, 1014, 22044, 20, 1, 1482, 20522, 13683, 2343, 1326, 1014, 1195, 4553, 1357, 3649, 1009, 3163, 1544, 1009, 7880, 1005, 15250, 1009, 7661, 1068, 1124, 5426, 13327, 1009, 8600, 3653, 21199, 1, 11955, 1026, 6840, 1322, 5802, 1009, 5870, 1060, 7631, 23, 20047, 1482, 1162, 13668, 26352, 8532, 13168, 17490, 11216, 1037, 10177, 19520, 11117, 89, 2604, 6112, 1013, 1506, 17229, 1123, 5076, 1283, 6566, 1032, 1129, 4578, 10889, 1006, 27816, 1187, 4209, 1009, 8067, 8022, 6510, 6563, 6160, 1005, 8421, 1787, 2693, 1006, 3513, 1118, 2191, 1009, 1094, 9546, 2987, 1009, 9774, 3284, 1005, 5684, 1184, 5199, 8473, 9520, 1118, 16027, 19176, 6840, 18, 1299, 5758, 150, 1898, 2267, 8022, 1043, 8718, 1009, 11174, 6272, 1826, 5465, 11890, 1132, 11409, 1005, 2532, 8882, 1124, 6433, 5653, 1048, 1096, 6740, 1068, 1132, 23855, 1009, 5641, 1005, 1009, 18273, 25366, 1213, 2837, 1006, 3513, 1049, 4174, 7550, 11074, 1094, 6973, 6272, 10021, 1005, 19878, 1068, 1026, 4409, 1068, 7304, 1726, 3606, 14448, 1187, 4209, 1533, 23423, 1324, 1026, 25105, 1060, 15764, 72, 1324, 2358, 13069, 14377, 15764, 3921, 19307, 2320, 1079, 10214, 1026, 25105, 15764, 3921, 13563, 18, 19307, 21677, 1005, 1587, 7486, 1327, 8340, 25022, 1206, 8340, 7958, 1060, 15764, 3921, 1294, 2138, 2365, 8826, 1734, 19879, 13044, 1124, 2089, 8340, 7958, 1327, 4336, 1009, 1456, 17489, 14467, 20, 1, 1424, 1006, 10996, 1060, 3023, 1060, 18571, 71, 1005, 1043, 1006, 3583, 1009, 4731, 1043, 5625, 11707, 12376, 18178, 4713, 8383, 1026, 2666, 1114, 2750, 12721, 5615, 1009, 1044, 2695, 1179, 1291, 1048, 1836, 1493, 15513, 1006, 10461, 1495, 2276, 20, 12151, 3689, 4966, 1026, 1048, 1058, 3475, 7, 21664, 1009, 1094, 1944, 1751, 1054, 1048, 3475, 1118, 2350, 1271, 8272, 1048, 2257, 5239, 1114, 6396, 11535, 1005, 2364, 1043, 1094, 3484, 12907, 1309, 1058, 24234, 23751, 1229, 1318, 2257, 6786, 11707, 1026, 1134, 8892, 4284, 14386, 1379, 1184, 12606, 1005, 4713, 4260, 3033, 1371, 1213, 1235, 7730, 3335, 3137, 4710, 1044, 2863, 1009, 14923, 1048, 19915, 1566, 2257, 4766, 1188, 12904, 39, 85, 10063, 15519, 1048, 1929, 8587, 13182, 1184, 1026, 21282, 1665, 1068, 3994, 1049, 11989, 2106, 2093, 1819, 1026, 3258, 2801, 1005, 1026, 9584, 13814, 1006, 1514, 3890, 1184, 1118, 2453, 626, 1759, 1640, 5398, 18178, 27927, 2938, 1009, 19950, 9263, 80, 17635, 3404, 10546, 9699, 10122, 1134, 8892, 4284, 6192, 1006, 4659, 1054, 3428, 1043, 1094, 3023, 1009, 31937, 26, 94, 25, 94, 2394, 3702, 1043, 2088, 4731, 1043, 5625, 2625, 12527, 1048, 31753, 1114, 5745, 1271, 4429, 1400, 1072, 2268, 2039, 2644, 8272, 9839, 1054, 5300, 1132, 24238, 1424, 9584, 13814, 1005, 12376, 7706, 8639, 1357, 22080, 1847, 1048, 2504, 2241, 25021, 1526, 1026, 18559, 1571, 1006, 5095, 7211, 6424, 90, 13814, 1114, 8643, 1005, 12376, 1184, 1322, 1006, 7116, 15, 1005, 3258, 2801, 1184, 3867, 1006, 11989, 4846, 17651, 1250, 1048, 1026, 9920, 1244, 1162, 1037, 9158, 1049, 3957, 5584, 1291, 1160, 1261, 19992, 1006, 4744, 1114, 6396, 3734, 1195, 1006, 3971, 1009, 6030, 26323, 4947, 1048, 2569, 7741, 1493, 24076, 1068, 1663, 1026, 2933, 1100, 7008, 1094, 1807, 20188, 3843, 7509, 8939, 5615, 1049, 2695, 1179, 1291, 1134, 8892, 1006, 2042, 1195, 20751, 12907, 2340, 1006, 8817, 1009, 12376, 18178, 1836, 1043, 2739, 8272, 1054, 5115, 13949, 1026, 1235, 2666, 1005, 2837, 8004, 1244, 1162, 1037, 28095, 1068, 16012, 1006, 1080, 16260, 7730, 14077, 1387, 1385, 1048, 1195, 19087, 1043, 3189, 1213, 10063, 12904, 6107, 22015, 1006, 10830, 1026, 2568, 15461, 1343, 1049, 2695, 1179, 1291, 1005, 1043, 1094, 3023, 1048, 1006, 8817, 1325, 1184, 13724, 2166, 1043, 1184, 6187, 1005, 12769, 1072, 18559, 19390, 1043, 3258, 2801, 1005, 9584, 13814, 1006, 20836, 1208, 1656, 1132, 8004, 1048, 1503, 2572, 1100, 1160, 1009, 1800, 1184, 10694, 1679, 4731, 1049, 2695, 1179, 1291, 626, 1759, 1640, 5398, 18178, 27927, 2938, 1009, 19950, 9263, 80, 17635, 3404, 10546, 9699, 11781, 1078, 28886, 21282, 1665, 1114, 3349, 6892, 1043, 15055, 1005, 1043, 9584, 13814, 1005, 3258, 2801, 1006, 4207, 1387, 1016, 1006, 6534, 1118, 22914, 1132, 7111, 2650, 6468, 4893, 4393, 1975, 12941, 1006, 13459, 76, 150, 1005, 4627, 1128, 2057, 1400, 1847, 1048, 21282, 1665, 3765, 1493, 3790, 1213, 6468, 1669, 3344, 2784, 22574, 2754, 2624, 1072, 7111, 2405, 6468, 1669, 1005, 23037, 1006, 3005, 1318, 5404, 1118, 1178, 1026, 18559, 1048, 1184, 8332, 3708, 1026, 1134, 8892, 4284, 4224, 2652, 1228, 1612, 75, 1005, 12376, 7706, 7949, 1006, 6534, 1044, 1054, 2562, 1049, 11641, 1847, 1048, 1044, 15715, 1114, 8716, 6485, 1184, 6685, 24280, 1213, 2143, 4578, 2247, 1271, 6476, 30167, 24332, 2453, 1009, 16361, 1935, 2433, 6027, 1048, 1132, 4731, 1049, 1134, 8892, 4284, 15666, 1054, 3428, 1114, 2750, 1751, 1043, 1094, 11589, 12907, 3503, 3958, 17456, 1048, 1026, 1235, 6519, 1021, 1348, 4713, 2373, 1013, 1139, 4980, 626, 1006, 6411, 1009, 8900, 1048, 1094, 18571, 71, 1048, 3961, 1356, 3479, 1976, 1261, 18, 6485, 16288, 1044, 1251, 18467, 1009, 7697, 3803, 1, 1063, 29369, 1007, 9391, 1072, 19890, 1049, 24511, 7586, 58, 3748, 1268, 1212, 1330, 5294, 1026, 8575, 1060, 11313, 7, 3713, 2067, 3205, 28512, 1005, 1989, 1195, 1026, 1720, 10921, 1068, 1026, 22225, 1009 ]

[ 15071, 13427, 2794, 1388, 8026, 1565, 1084, 1006, 6375, 1096, 8174, 7830, 32, 7648, 15863, 4743, 18, 3284, 29878, 1930, 17037, 2672, 1933, 3144, 3279, 18234, 7, 2324, 2576, 32, 20567, 1623, 1163, 11842, 7054, 7544, 32, 2475, 10579, 23994, 7054, 7022, 32, 1764, 15397, 1049, 8308, 7054, 2956, 32, 6203, 4093, 19108, 32, 14910, 0, 20, 3132, 150, 29674, 1160, 1225, 1962, 6082, 7, 2013, 1026, 1853, 7, 2324, 2576, 32, 6509, 11834, 7054, 7544, 32, 8149, 10579, 23994, 7054, 7022, 32, 31701, 5688, 71, 1009, 2383, 2905, 7054, 2956, 32, 16346, 4093, 19108, 1898, 1352, 85, 7648, 7781, 1265, 1476, 1476, 2324, 2576, 32, 1015, 1038, 5202, 1910, 2359, 3505, 77, 1061, 2037, 7054, 7544, 32, 10535, 10579, 23994, 7054, 7022, 32, 8720, 1423, 10484, 7054, 2956, 32, 11779, 4093, 19108, 32, 14910, 1262, 2212, 9470, 1026, 10720, 1566, 1702, 1557, 1351, 1041, 1130, 1224, 17410, 1054, 16502, 17237, 1680, 1159, 7889, 1569, 7648, 1072, 4288, 1123, 1999, 12878, 1094, 4759, 5330, 11591, 1094, 2451, 1048, 1381, 1006, 15838, 1049, 1023, 1077, 1498, 1047, 1680, 1159, 2601, 1132, 2712, 1095, 1554, 1119, 1157, 11717, 7008, 1054, 2535, 1009, 5496, 1883, 2006, 20, 9184, 1160, 17656, 9207, 1006, 1883, 2006, 2485, 1026, 30468, 1468, 2237, 1847, 2736, 1905, 1043, 19410, 4662, 17021, 1213, 1372, 1005, 10963, 1009, 1101, 11, 1005, 1114, 11954, 1009, 1664, 3408, 2237, 2966, 15269, 1159, 2232, 3562, 1554, 1134, 5986, 16724, 1069, 1026, 5822, 1667, 28983, 8882, 1044, 2161, 1009, 1984, 2394, 13290, 1043, 15069, 1009, 1158, 2250, 2237, 2451, 2237, 18363, 23242, 1204, 2471, 13367, 1206, 2374, 1044, 1251, 18467, 1009, 24608, 1322, 1026, 2161, 20, 5153, 4280, 1043, 1006, 18803, 1961, 1668, 30994, 2713, 2736, 1905, 1009, 1422, 2081, 12599, 1322, 1026, 2161, 1049, 1023, 1077, 1498, 1047, 2237, 1847, 27143, 1118, 2237, 9320, 17871, 1157, 1068, 1026, 1023, 1077, 1498, 1047, 4564, 1984, 2394, 22, 3006, 2561, 1076, 1009, 1044, 9271, 7492, 37, 1603, 2481, 6679, 2742, 7468, 3784, 2340, 3904, 1847, 29399, 1006, 1493, 1557, 2730, 1023, 1077, 1498, 1047, 20939, 1043, 2653, 12751, 1005, 30976, 8473, 24283, 1005, 1044, 1807, 18234, 1005, 29867, 1370, 1006, 1224, 4022, 2324, 2576, 32, 19547, 1177, 3236, 8201, 7054, 7544, 32, 10535, 10579, 23994, 7054, 7022, 32, 6208, 1047, 6750, 7054, 2956, 32, 16346, 4093, 19108, 1898, 49, 1052, 4868, 32, 3953, 10031, 1114, 11518, 1009, 3282, 1049, 3821, 1009, 1946, 1273, 1005, 2449, 1026, 4868, 4644, 1159, 8349, 1213, 2729, 1009, 2348, 7050, 2094, 1005, 1213, 1118, 1264, 1195, 10612, 1006, 1224, 3733, 20, 19372, 1009, 31921, 3033, 1026, 11215, 4868, 1357, 3450, 1060, 2921, 1005, 3754, 1048, 16979, 1927, 1043, 1668, 4308, 1009, 21940, 22753, 1006, 8591, 2348, 22830, 1271, 3229, 1009, 29413, 1346, 1054, 1622, 6242, 1043, 1456, 6059, 2216, 1048, 1493, 1323, 3629, 1294, 2392, 1554, 11161, 19547, 1177, 3236, 2875, 2576, 32, 3285, 83, 1052, 29661, 7054, 7544, 32, 10923, 10579, 23994, 7054, 7022, 32, 2376, 15676, 1020, 7054, 2956, 32, 25778, 4093, 19108, 32, 8539, 30317, 9416, 1054, 1048, 3495, 3539, 2328, 1049, 4288, 1048, 9133, 1114, 12065, 40, 7, 9627, 4318, 1054, 1119, 1062, 4812, 4414, 1225, 2281, 3322, 2408, 2328, 1060, 4246, 1582, 1009, 1569, 7648, 7, 1256, 75, 18701, 1159, 5617, 1136, 1905, 1007, 1049, 2742, 24615, 12318, 1017, 1067, 47, 3783, 4735, 8440, 1411, 18, 10972, 1428, 1927, 1381, 5231, 1256, 1019, 83, 2060, 5193, 1184, 2998, 23704, 1020, 1256, 1167, 2402, 1048, 2247, 1009, 1807, 3467, 1256, 28746, 15144, 12458, 1256, 25618, 1225, 1094, 4123, 8962, 1049, 1048, 1096, 3711, 3654, 1213, 1178, 6819, 7, 57, 27843, 1, 1683, 2442, 3135, 1009, 9738, 1072, 10219, 1068, 12419, 6388, 1581, 3843, 12970, 14335, 13320, 1006, 6115, 1006, 29510, 1118, 9134, 1049, 2671, 1533, 4338, 1187, 17633, 13064, 1079, 3068, 9710, 20392, 15, 1026, 12419, 14335, 1048, 16280, 1006, 6115, 1006, 13973, 8124, 1118, 9134, 1049, 2671, 1996, 1009, 8406, 1322, 1006, 8087, 1009, 5629, 1936, 6997, 1063, 26208, 1233, 5576, 2755, 1791, 2250, 1986, 1006, 25245, 1060, 2670, 12936, 21691, 1005, 1096, 1006, 1944, 9348, 1049, 10422, 1049, 28224, 1072, 7026, 1986, 1124, 6283, 5653, 2191, 1009, 9924, 16074, 21424, 1132, 17892, 4254, 1412, 1044, 2743, 1009, 12419, 28146, 8220, 1356, 2818, 51, 1048, 1111, 4737, 1006, 6446, 1049, 3407, 23991, 1118, 12936, 20, 1063, 9985, 1060, 7401, 14704, 2916, 1009, 2125, 9566, 1309, 1026, 3407, 1620, 3135, 1009, 9738, 1072, 10219, 1068, 1048, 1026, 12419, 14335, 22292, 1006, 18841, 1704, 12419, 9846, 8181, 2271, 1048, 1195, 23991, 1356, 10422, 1049, 22496, 4776, 1054, 2436, 3019, 7313, 1063, 5576, 18, 1048, 3559, 79, 9598, 2769, 1009, 12711, 1112, 5170, 2645, 52, 9833, 1349, 1160, 1757, 3398, 12836, 1229, 1309, 2941, 1393, 1048, 1132, 9134, 1049, 2671, 1756, 1040, 1054, 2612, 13832, 1068, 1006, 26306, 2373, 1196, 4455, 4114, 1159, 3202, 1009, 2671, 626, 9003, 1026, 16954, 1100, 1132, 13973, 3634, 1178, 20747, 2373, 1925, 6356, 2094, 1114, 29431, 1072, 16232, 1005, 1114, 6621, 1009, 5283, 1005, 5629, 8317, 1005, 1072, 11459, 85, 5457, 1060, 5110, 4345, 626, 1704, 1334, 2187, 1573, 4905, 2241, 1026, 2671, 1009, 3689, 18, 1043, 1026, 16954, 1100, 7818, 2705, 29286, 9488, 1060, 6496, 15289, 2247, 1009, 11778, 1026, 3129, 1049, 21727, 20, 1972, 24630, 1006, 13183, 1049, 5054, 1114, 1600, 21153, 1857, 8072, 1412, 1211, 3386, 1124, 2835, 7854, 1114, 4769, 1495, 1048, 1006, 7401, 4219, 1006, 31804, 2904, 3637, 24595, 2743, 1048, 1111, 4737, 5726, 1009, 12419, 14335, 11632, 44, 10747, 18894, 3270, 1645, 85, 2135, 1163, 8534, 8361, 1026, 5548, 1049, 2818, 11077, 26189, 10499, 2645, 26446, 1026, 12419, 14335, 1096, 1094, 2373, 1806, 2566, 8194, 1009, 4125, 1118, 6544, 1049, 7026, 8226, 2373, 16352, 1655, 42, 1061, 1183, 67, 17195, 15140, 1026, 7228, 1043, 1664, 1132, 1058, 1164, 2106, 1309, 2283, 170, 1324, 2290, 12419, 14335, 18, 1094, 6115, 1679, 12836, 1554, 1764, 3530, 9134, 1048, 4343, 2997, 1006, 3808, 5133, 4324, 9208, 1026, 30217, 1870, 3748, 5231, 1213, 9568, 1009, 12936, 1986, 1178, 1057, 1731, 5602, 1054, 1048, 1687, 1058, 1973, 2373, 24407, 2442, 1213, 7228, 626, 5721, 1006, 5576, 1054, 9985, 1072, 16142, 3335, 13203, 1049, 9214, 21040, 8661, 1048, 1006, 9924, 4219, 19589, 18, 3533, 4975, 2539, 13832, 1068, 30054, 1130, 1006, 1600, 21153, 1159, 1006, 13183, 1009, 6865, 2130, 1068, 4207, 4427, 1166, 1005, 1006, 2490, 1060, 5879, 1114, 5965, 3446, 1068, 21917, 1006, 7513, 1704, 5548, 1049, 6387, 1114, 2968, 1126, 5837, 1032, 1810, 20448, 4134, 15908, 7217, 2539, 6865, 11176, 2966, 5975, 1009, 12249, 1009, 1600, 21153, 1403, 6091, 1060, 9924, 1005, 9924, 1049, 12419, 2859, 1118, 2859, 20, 2858, 1006, 17394, 7720, 1664, 1132, 6865, 2130, 17646, 13064, 1166, 6033, 7507, 1009, 10513, 1024, 1006, 9924, 18, 17892, 1060, 2068, 29308, 1058, 30073, 2241, 1072, 28178, 1068, 10461, 1026, 12419, 1060, 12936, 20, 4333, 1132, 23807, 1060, 5576, 3586, 1026, 6483, 12335, 6662, 17749, 20448, 4314, 23988, 1048, 26623, 1048, 1006, 4375, 1178, 1785, 2373, 2018, 6006, 6160, 1026, 14751, 626, 3482, 1316, 150, 14563, 20448, 3840, 28435, 1048, 1195, 1044, 1187, 1048, 27656, 1006, 5133, 2754, 6236, 22953, 1048, 1026, 16954, 1100, 2373, 1040, 3819, 5847, 1033, 1281, 1244, 88, 5555, 3795, 3019, 7026, 626, 1533, 2220, 5847, 1026, 2670, 1060, 21360, 7980, 7626, 11396, 25126, 5705, 52, 1349, 4771, 1328, 1005, 27916, 30380, 1024, 1132, 29609, 1554, 2373, 3885, 4540, 6588, 1989, 2446, 1009, 31838, 4324, 30904, 4634, 28694, 1996, 1060, 9572, 1627, 1213, 11971, 1006, 13183, 1114, 21109, 1009, 1044, 5054, 1455, 2214, 1902, 1213, 22496, 4776, 11396, 21279, 1058, 9149, 1009, 1745, 1029, 2189, 1213, 2671, 27956, 4218, 4650, 11396, 14914, 1026, 2671, 1049, 2293, 3279, 1049, 10519, 1309, 7514, 13685, 2270, 1138, 14698, 6891, 21274, 10790, 1060, 5827, 4064, 1006, 14894, 16858, 11292, 1068, 1026, 1235, 17882, 12904, 26759, 2125, 3952, 1048, 1325, 1114, 21109, 1655, 2049, 2743, 67, 4324, 3579, 12476, 11396, 1054, 5231, 1233, 4254, 2094, 1054, 12743, 1049, 5975, 1009, 24033, 1068, 18465, 1026, 12419, 4355, 11325, 1163, 23, 4093, 26331, 24247, 15844, 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, 1308, 8891, 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, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 31781, 2491, 1069, 12266, 9580, 6803, 18, 9598, 13915, 21914, 32, 4338, 1187, 10570, 2585, 26744, 1100, 12936, 21691, 18, 2231, 9858, 7127, 5731, 10339, 7104, 14349, 1029, 5129, 9598, 1072, 3878, 2689, 1389, 3368, 2689, 12851, 22522, 9214, 12796, 3363, 1093, 7860, 32, 28150, 1045, 1081, 32, 2800, 8402, 1006, 5913, 1009, 1023, 1164, 1267, 1229, 7995, 6469, 1005, 7360, 2324, 4315, 7860, 32, 3316, 19234, 1114, 1142, 4382, 1043, 12912, 1505, 5386, 1137, 1005, 9535, 1027, 4862, 1193, 1362, 1066, 4093, 13386, 1072, 6332, 28625, 1024, 2995, 31424, 1118, 5133, 15568, 2995, 31424, 1118, 4783, 3882, 1170, 1005, 10504, 2642, 14470, 1189, 7299, 11194, 22958, 10129, 1009, 13926, 22770, 1103, 1045, 1009, 2778, 5882, 1248, 22770, 1103, 1045, 1009, 1142, 23693, 1594, 6196, 2187, 1069, 6729, 1480, 1175, 18436, 1402, 1594, 2973, 1051, 1416, 5451, 1041, 6837, 16646, 18025, 2505, 15403, 159, 17325, 12298, 1018, 4170, 13498, 5063, 13498, 5063, 1175, 12298, 1073, 5021, 13498, 5063, 1175, 28884, 13498, 5063, 1175, 2231, 13444, 13498, 5063, 1175, 1134, 3418, 8622, 13498, 5063, 1175, 1142, 1120, 1227, 1416, 13498, 5063, 1175, 31667, 18625, 7537, 13498, 5063, 1175, 1972, 72, 3308, 71, 13498, 5063, 1175, 17301, 1154, 13498, 5063, 1175, 1073, 1692, 1093, 13498, 5063, 1175, 16537, 1035, 2231, 22838, 7388, 2032, 2529, 3921, 1461, 2695, 5076, 4111, 25610, 29001, 1166, 1106, 2703, 2059, 20900, 5315, 1021, 12348, 1010, 1062, 4876, 1089, 2767, 3270, 12087, 1983, 71, 2135, 10763, 2135, 1106, 3539, 6070, 90, 4199, 1068, 1026, 8719, 15, 4006, 92, 1243, 2346, 1358, 1121, 11906, 5236, 1087, 1161, 2135, 9014, 3856, 23123, 23123, 5947, 2135, 18571, 2147, 16624, 4838, 2778, 3343, 7111, 1922, 1009, 2773, 1209, 21624, 2227, 9162, 83, 9363, 25775, 2135, 3619, 1139, 3155, 21820, 6952, 21, 12461, 1014, 21, 19938, 1165, 1291, 2231, 1095, 1789, 1291, 31080, 7119, 6998, 1391, 1482, 1390, 2001, 25136, 1175, 11670, 2804, 2018, 7376, 21321, 25136, 1175, 11686, 25136, 1009, 1156, 2715, 3036, 25136, 27612, 25136, 3658, 1031, 3613, 25136, 3658, 1031, 3613, 1175, 5673, 17325, 25136, 3658, 1031, 3613, 1175, 9818, 27935, 1542, 10561, 6852, 1009, 1387, 1036, 3779, 1338, 22329, 2135, 17301, 1154, 1054, 9014, 3856, 3773, 6948, 9140, 19839, 1163, 2215, 1163, 1275, 1163, 6858, 1163, 6858, 1123, 12826, 1236, 1924, 1441, 1137, 6227, 4543, 1005, 1073, 9329, 1312, 10721, 13829, 2332, 6374, 10164, 7527, 2672, 7527, 2672, 1175, 17480, 1610, 1361, 8214, 3352, 1180, 168, 1242, 2135, 4501, 4528, 48, 168, 1242, 19424, 28367, 14237, 1330, 3165, 2135, 22971, 1709, 1461, 14237, 1330, 3165, 2135, 22971, 1709, 1461, 2663, 1568, 95, 13822, 1142, 1432, 1074, 12120, 1263, 1074, 1005, 12982, 1478, 30817, 1654, 2231, 1575, 11565, 27848, 1542, 15288, 24623, 2001, 1134, 1081, 1312, 12698, 25641, 19704, 1342, 7321, 4543, 1082, 5063, 21, 21820, 2765, 16670, 4068, 8917, 7750, 6459, 76, 3507, 2051, 29559, 1461, 3483, 2767, 25769, 17965, 1009, 4891, 2426, 16953, 10581, 14349, 1029, 2561, 8648, 26927, 2227, 2135, 2741, 4487, 31071, 1010, 1505, 2370, 8265, 1121, 3682, 1452, 14755, 1602, 4372, 1587, 2099, 2847, 31564, 1471, 94, 15, 6566, 13855, 16299, 1009, 26987, 2135, 22630, 1563, 16989, 1065, 1461, 9831, 1885, 11321, 6203, 39, 18260, 11115, 1073, 4699, 1108, 2794, 10895, 15, 2135, 4611, 1034, 1295, 1982, 1212, 13190, 2135, 19331, 5737, 22971, 6184, 2135, 1868, 5664, 1018, 2135, 4225, 1223, 2130, 1128, 3352, 30897, 7300, 22787, 22787, 1009, 29231, 6129, 1140, 3546, 1118, 2188, 1021, 1921, 1205, 8007, 1348, 16537, 1209, 2036, 1066, 1582, 2814, 13094, 1312, 50, 8076, 54, 1500, 1010, 4365, 9404, 2505, 2765, 4365, 3785, 21670, 2032, 13926, 1356, 1561, 13926, 18715, 2202, 1055, 1009, 20693, 2529, 4115, 4631, 31168, 1005, 1338, 4405, 4111, 85, 2135, 11564, 1018, 2135, 12066, 3020, 1005, 12911, 2968, 1166, 22891, 7504, 22173, 1095, 4986, 1631, 1005, 2613, 4076, 2051, 20649, 1060, 1082, 4171, 14734, 1053, 17469, 9387, 3544, 2135, 24105, 15563, 3117, 2032, 1009, 2397, 4484, 21820, 1582, 1009, 1134, 11842, 17111, 17325, 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 ]

[ 15071, 13427, 2794, 1388, 8026, 1565, 1084, 1006, 6375, 1096, 8174, 7830, 32, 7648, 15863, 4743, 18, 3284, 29878, 1930, 17037, 2672, 1933, 3144, 3279, 18234, 7, 2324, 2576, 32, 20567, 1623, 1163, 11842, 7054, 7544, 32, 2475, 10579, 23994, 7054, 7022, 32, 1764, 15397, 1049, 8308, 7054, 2956, 32, 6203, 4093, 19108, 32, 14910, 0, 20, 3132, 150, 29674, 1160, 1225, 1962, 6082, 7, 2013, 1026, 1853, 7, 2324, 2576, 32, 6509, 11834, 7054, 7544, 32, 8149, 10579, 23994, 7054, 7022, 32, 31701, 5688, 71, 1009, 2383, 2905, 7054, 2956, 32, 16346, 4093, 19108, 1898, 1352, 85, 7648, 7781, 1265, 1476, 1476, 2324, 2576, 32, 1015, 1038, 5202, 1910, 2359, 3505, 77, 1061, 2037, 7054, 7544, 32, 10535, 10579, 23994, 7054, 7022, 32, 8720, 1423, 10484, 7054, 2956, 32, 11779, 4093, 19108, 32, 14910, 1262, 2212, 9470, 1026, 10720, 1566, 1702, 1557, 1351, 1041, 1130, 1224, 17410, 1054, 16502, 17237, 1680, 1159, 7889, 1569, 7648, 1072, 4288, 1123, 1999, 12878, 1094, 4759, 5330, 11591, 1094, 2451, 1048, 1381, 1006, 15838, 1049, 1023, 1077, 1498, 1047, 1680, 1159, 2601, 1132, 2712, 1095, 1554, 1119, 1157, 11717, 7008, 1054, 2535, 1009, 5496, 1883, 2006, 20, 9184, 1160, 17656, 9207, 1006, 1883, 2006, 2485, 1026, 30468, 1468, 2237, 1847, 2736, 1905, 1043, 19410, 4662, 17021, 1213, 1372, 1005, 10963, 1009, 1101, 11, 1005, 1114, 11954, 1009, 1664, 3408, 2237, 2966, 15269, 1159, 2232, 3562, 1554, 1134, 5986, 16724, 1069, 1026, 5822, 1667, 28983, 8882, 1044, 2161, 1009, 1984, 2394, 13290, 1043, 15069, 1009, 1158, 2250, 2237, 2451, 2237, 18363, 23242, 1204, 2471, 13367, 1206, 2374, 1044, 1251, 18467, 1009, 24608, 1322, 1026, 2161, 20, 5153, 4280, 1043, 1006, 18803, 1961, 1668, 30994, 2713, 2736, 1905, 1009, 1422, 2081, 12599, 1322, 1026, 2161, 1049, 1023, 1077, 1498, 1047, 2237, 1847, 27143, 1118, 2237, 9320, 17871, 1157, 1068, 1026, 1023, 1077, 1498, 1047, 4564, 1984, 2394, 22, 3006, 2561, 1076, 1009, 1044, 9271, 7492, 37, 1603, 2481, 6679, 2742, 7468, 3784, 2340, 3904, 1847, 29399, 1006, 1493, 1557, 2730, 1023, 1077, 1498, 1047, 20939, 1043, 2653, 12751, 1005, 30976, 8473, 24283, 1005, 1044, 1807, 18234, 1005, 29867, 1370, 1006, 1224, 4022, 2324, 2576, 32, 19547, 1177, 3236, 8201, 7054, 7544, 32, 10535, 10579, 23994, 7054, 7022, 32, 6208, 1047, 6750, 7054, 2956, 32, 16346, 4093, 19108, 1898, 49, 1052, 4868, 32, 3953, 10031, 1114, 11518, 1009, 3282, 1049, 3821, 1009, 1946, 1273, 1005, 2449, 1026, 4868, 4644, 1159, 8349, 1213, 2729, 1009, 2348, 7050, 2094, 1005, 1213, 1118, 1264, 1195, 10612, 1006, 1224, 3733, 20, 19372, 1009, 31921, 3033, 1026, 11215, 4868, 1357, 3450, 1060, 2921, 1005, 3754, 1048, 16979, 1927, 1043, 1668, 4308, 1009, 21940, 22753, 1006, 8591, 2348, 22830, 1271, 3229, 1009, 29413, 1346, 1054, 1622, 6242, 1043, 1456, 6059, 2216, 1048, 1493, 1323, 3629, 1294, 2392, 1554, 11161, 19547, 1177, 3236, 2875, 2576, 32, 3285, 83, 1052, 29661, 7054, 7544, 32, 10923, 10579, 23994, 7054, 7022, 32, 2376, 15676, 1020, 7054, 2956, 32, 25778, 4093, 19108, 32, 8539, 30317, 9416, 1054, 1048, 3495, 3539, 2328, 1049, 4288, 1048, 9133, 1114, 12065, 40, 7, 9627, 4318, 1054, 1119, 1062, 4812, 4414, 1225, 2281, 3322, 2408, 2328, 1060, 4246, 1582, 1009, 1569, 7648, 7, 1256, 75, 18701, 1159, 5617, 1136, 1905, 1007, 1049, 2742, 24615, 12318, 1017, 1067, 47, 3783, 4735, 8440, 1411, 18, 10972, 1428, 1927, 1381, 5231, 1256, 1019, 83, 2060, 5193, 1184, 2998, 23704, 1020, 1256, 1167, 2402, 1048, 2247, 1009, 1807, 3467, 1256, 28746, 15144, 12458, 1256, 25618, 1225, 1094, 4123, 8962, 1049, 1048, 1096, 3711, 3654, 1213, 1178, 6819, 7, 57, 27843, 1, 1683, 2442, 3135, 1009, 9738, 1072, 10219, 1068, 12419, 6388, 1581, 3843, 12970, 14335, 13320, 1006, 6115, 1006, 29510, 1118, 9134, 1049, 2671, 1533, 4338, 1187, 17633, 13064, 1079, 3068, 9710, 20392, 15, 1026, 12419, 14335, 1048, 16280, 1006, 6115, 1006, 13973, 8124, 1118, 9134, 1049, 2671, 1996, 1009, 8406, 1322, 1006, 8087, 1009, 5629, 1936, 6997, 1063, 26208, 1233, 5576, 2755, 1791, 2250, 1986, 1006, 25245, 1060, 2670, 12936, 21691, 1005, 1096, 1006, 1944, 9348, 1049, 10422, 1049, 28224, 1072, 7026, 1986, 1124, 6283, 5653, 2191, 1009, 9924, 16074, 21424, 1132, 17892, 4254, 1412, 1044, 2743, 1009, 12419, 28146, 8220, 1356, 2818, 51, 1048, 1111, 4737, 1006, 6446, 1049, 3407, 23991, 1118, 12936, 20, 1063, 9985, 1060, 7401, 14704, 2916, 1009, 2125, 9566, 1309, 1026, 3407, 1620, 3135, 1009, 9738, 1072, 10219, 1068, 1048, 1026, 12419, 14335, 22292, 1006, 18841, 1704, 12419, 9846, 8181, 2271, 1048, 1195, 23991, 1356, 10422, 1049, 22496, 4776, 1054, 2436, 3019, 7313, 1063, 5576, 18, 1048, 3559, 79, 9598, 2769, 1009, 12711, 1112, 5170, 2645, 52, 9833, 1349, 1160, 1757, 3398, 12836, 1229, 1309, 2941, 1393, 1048, 1132, 9134, 1049, 2671, 1756, 1040, 1054, 2612, 13832, 1068, 1006, 26306, 2373, 1196, 4455, 4114, 1159, 3202, 1009, 2671, 626, 9003, 1026, 16954, 1100, 1132, 13973, 3634, 1178, 20747, 2373, 1925, 6356, 2094, 1114, 29431, 1072, 16232, 1005, 1114, 6621, 1009, 5283, 1005, 5629, 8317, 1005, 1072, 11459, 85, 5457, 1060, 5110, 4345, 626, 1704, 1334, 2187, 1573, 4905, 2241, 1026, 2671, 1009, 3689, 18, 1043, 1026, 16954, 1100, 7818, 2705, 29286, 9488, 1060, 6496, 15289, 2247, 1009, 11778, 1026, 3129, 1049, 21727, 20, 1972, 24630, 1006, 13183, 1049, 5054, 1114, 1600, 21153, 1857, 8072, 1412, 1211, 3386, 1124, 2835, 7854, 1114, 4769, 1495, 1048, 1006, 7401, 4219, 1006, 31804, 2904, 3637, 24595, 2743, 1048, 1111, 4737, 5726, 1009, 12419, 14335, 11632, 44, 10747, 18894, 3270, 1645, 85, 2135, 1163, 8534, 8361, 1026, 5548, 1049, 2818, 11077, 26189, 10499, 2645, 26446, 1026, 12419, 14335, 1096, 1094, 2373, 1806, 2566, 8194, 1009, 4125, 1118, 6544, 1049, 7026, 8226, 2373, 16352, 1655, 42, 1061, 1183, 67, 17195, 15140, 1026, 7228, 1043, 1664, 1132, 1058, 1164, 2106, 1309, 2283, 170, 1324, 2290, 12419, 14335, 18, 1094, 6115, 1679, 12836, 1554, 1764, 3530, 9134, 1048, 4343, 2997, 1006, 3808, 5133, 4324, 9208, 1026, 30217, 1870, 3748, 5231, 1213, 9568, 1009, 12936, 1986, 1178, 1057, 1731, 5602, 1054, 1048, 1687, 1058, 1973, 2373, 24407, 2442, 1213, 7228, 626, 5721, 1006, 5576, 1054, 9985, 1072, 16142, 3335, 13203, 1049, 9214, 21040, 8661, 1048, 1006, 9924, 4219, 19589, 18, 3533, 4975, 2539, 13832, 1068, 30054, 1130, 1006, 1600, 21153, 1159, 1006, 13183, 1009, 6865, 2130, 1068, 4207, 4427, 1166, 1005, 1006, 2490, 1060, 5879, 1114, 5965, 3446, 1068, 21917, 1006, 7513, 1704, 5548, 1049, 6387, 1114, 2968, 1126, 5837, 1032, 1810, 20448, 4134, 15908, 7217, 2539, 6865, 11176, 2966, 5975, 1009, 12249, 1009, 1600, 21153, 1403, 6091, 1060, 9924, 1005, 9924, 1049, 12419, 2859, 1118, 2859, 20, 2858, 1006, 17394, 7720, 1664, 1132, 6865, 2130, 17646, 13064, 1166, 6033, 7507, 1009, 10513, 1024, 1006, 9924, 18, 17892, 1060, 2068, 29308, 1058, 30073, 2241, 1072, 28178, 1068, 10461, 1026, 12419, 1060, 12936, 20, 4333, 1132, 23807, 1060, 5576, 3586, 1026, 6483, 12335, 6662, 17749, 20448, 4314, 23988, 1048, 26623, 1048, 1006, 4375, 1178, 1785, 2373, 2018, 6006, 6160, 1026, 14751, 626, 3482, 1316, 150, 14563, 20448, 3840, 28435, 1048, 1195, 1044, 1187, 1048, 27656, 1006, 5133, 2754, 6236, 22953, 1048, 1026, 16954, 1100, 2373, 1040, 3819, 5847, 1033, 1281, 1244, 88, 5555, 3795, 3019, 7026, 626, 1533, 2220, 5847, 1026, 2670, 1060, 21360, 7980, 7626, 11396, 25126, 5705, 52, 1349, 4771, 1328, 1005, 27916, 30380, 1024, 1132, 29609, 1554, 2373, 3885, 4540, 6588, 1989, 2446, 1009, 31838, 4324, 30904, 4634, 28694, 1996, 1060, 9572, 1627, 1213, 11971, 1006, 13183, 1114, 21109, 1009, 1044, 5054, 1455, 2214, 1902, 1213, 22496, 4776, 11396, 21279, 1058, 9149, 1009, 1745, 1029, 2189, 1213, 2671, 27956, 4218, 4650, 11396, 14914, 1026, 2671, 1049, 2293, 3279, 1049, 10519, 1309, 7514, 13685, 2270, 1138, 14698, 6891, 21274, 10790, 1060, 5827, 4064, 1006, 14894, 16858, 11292, 1068, 1026, 1235, 17882, 12904, 26759, 2125, 3952, 1048, 1325, 1114, 21109, 1655, 2049, 2743, 67, 4324, 3579, 12476, 11396, 1054, 5231, 1233, 4254, 2094, 1054, 12743, 1049, 5975, 1009, 24033, 1068, 18465, 1026, 12419, 4355, 11325, 1163, 23, 4093, 26331, 24247, 15844, 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, 1308, 8891, 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, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 31781, 2491, 1069, 12266, 9580, 6803, 18, 9598, 13915, 21914, 32, 4338, 1187, 10570, 2585, 26744, 1100, 12936, 21691, 18, 2231, 9858, 7127, 5731, 10339, 7104, 14349, 1029, 5129, 9598, 1072, 3878, 2689, 1389, 3368, 2689, 12851, 22522, 9214, 12796, 3363, 1093, 7860, 32, 28150, 1045, 1081, 32, 2800, 8402, 1006, 5913, 1009, 1023, 1164, 1267, 1229, 7995, 6469, 1005, 7360, 2324, 4315, 7860, 32, 3316, 19234, 1114, 1142, 4382, 1043, 12912, 1505, 5386, 1137, 1005, 9535, 1027, 4862, 1193, 1362, 1066, 4093, 13386, 1072, 6332, 28625, 1024, 2995, 31424, 1118, 5133, 15568, 2995, 31424, 1118, 4783, 3882, 1170, 1005, 10504, 2642, 14470, 1189, 7299, 11194, 22958, 10129, 1009, 13926, 22770, 1103, 1045, 1009, 2778, 5882, 1248, 22770, 1103, 1045, 1009, 1142, 23693, 1594, 6196, 2187, 1069, 6729, 1480, 1175, 18436, 1402, 1594, 2973, 1051, 1416, 5451, 1041, 6837, 16646, 18025, 2505, 15403, 159, 17325, 12298, 1018, 4170, 13498, 5063, 13498, 5063, 1175, 12298, 1073, 5021, 13498, 5063, 1175, 28884, 13498, 5063, 1175, 2231, 13444, 13498, 5063, 1175, 1134, 3418, 8622, 13498, 5063, 1175, 1142, 1120, 1227, 1416, 13498, 5063, 1175, 31667, 18625, 7537, 13498, 5063, 1175, 1972, 72, 3308, 71, 13498, 5063, 1175, 17301, 1154, 13498, 5063, 1175, 1073, 1692, 1093, 13498, 5063, 1175, 16537, 1035, 2231, 22838, 7388, 2032, 2529, 3921, 1461, 2695, 5076, 4111, 25610, 29001, 1166, 1106, 2703, 2059, 20900, 5315, 1021, 12348, 1010, 1062, 4876, 1089, 2767, 3270, 12087, 1983, 71, 2135, 10763, 2135, 1106, 3539, 6070, 90, 4199, 1068, 1026, 8719, 15, 4006, 92, 1243, 2346, 1358, 1121, 11906, 5236, 1087, 1161, 2135, 9014, 3856, 23123, 23123, 5947, 2135, 18571, 2147, 16624, 4838, 2778, 3343, 7111, 1922, 1009, 2773, 1209, 21624, 2227, 9162, 83, 9363, 25775, 2135, 3619, 1139, 3155, 21820, 6952, 21, 12461, 1014, 21, 19938, 1165, 1291, 2231, 1095, 1789, 1291, 31080, 7119, 6998, 1391, 1482, 1390, 2001, 25136, 1175, 11670, 2804, 2018, 7376, 21321, 25136, 1175, 11686, 25136, 1009, 1156, 2715, 3036, 25136, 27612, 25136, 3658, 1031, 3613, 25136, 3658, 1031, 3613, 1175, 5673, 17325, 25136, 3658, 1031, 3613, 1175, 9818, 27935, 1542, 10561, 6852, 1009, 1387, 1036, 3779, 1338, 22329, 2135, 17301, 1154, 1054, 9014, 3856, 3773, 6948, 9140, 19839, 1163, 2215, 1163, 1275, 1163, 6858, 1163, 6858, 1123, 12826, 1236, 1924, 1441, 1137, 6227, 4543, 1005, 1073, 9329, 1312, 10721, 13829, 2332, 6374, 10164, 7527, 2672, 7527, 2672, 1175, 17480, 1610, 1361, 8214, 3352, 1180, 168, 1242, 2135, 4501, 4528, 48, 168, 1242, 19424, 28367, 14237, 1330, 3165, 2135, 22971, 1709, 1461, 14237, 1330, 3165, 2135, 22971, 1709, 1461, 2663, 1568, 95, 13822, 1142, 1432, 1074, 12120, 1263, 1074, 1005, 12982, 1478, 30817, 1654, 2231, 1575, 11565, 27848, 1542, 15288, 24623, 2001, 1134, 1081, 1312, 12698, 25641, 19704, 1342, 7321, 4543, 1082, 5063, 21, 21820, 2765, 16670, 4068, 8917, 7750, 6459, 76, 3507, 2051, 29559, 1461, 3483, 2767, 25769, 17965, 1009, 4891, 2426, 16953, 10581, 14349, 1029, 2561, 8648, 26927, 2227, 2135, 2741, 4487, 31071, 1010, 1505, 2370, 8265, 1121, 3682, 1452, 14755, 1602, 4372, 1587, 2099, 2847, 31564, 1471, 94, 15, 6566, 13855, 16299, 1009, 26987, 2135, 22630, 1563, 16989, 1065, 1461, 9831, 1885, 11321, 6203, 39, 18260, 11115, 1073, 4699, 1108, 2794, 10895, 15, 2135, 4611, 1034, 1295, 1982, 1212, 13190, 2135, 19331, 5737, 22971, 6184, 2135, 1868, 5664, 1018, 2135, 4225, 1223, 2130, 1128, 3352, 30897, 7300, 22787, 22787, 1009, 29231, 6129, 1140, 3546, 1118, 2188, 1021, 1921, 1205, 8007, 1348, 16537, 1209, 2036, 1066, 1582, 2814, 13094, 1312, 50, 8076, 54, 1500, 1010, 4365, 9404, 2505, 2765, 4365, 3785, 21670, 2032, 13926, 1356, 1561, 13926, 18715, 2202, 1055, 1009, 20693, 2529, 4115, 4631, 31168, 1005, 1338, 4405, 4111, 85, 2135, 11564, 1018, 2135, 12066, 3020, 1005, 12911, 2968, 1166, 22891, 7504, 22173, 1095, 4986, 1631, 1005, 2613, 4076, 2051, 20649, 1060, 1082, 4171, 14734, 1053, 17469, 9387, 3544, 2135, 24105, 15563, 3117, 2032, 1009, 2397, 4484, 21820, 1582, 1009, 1134, 11842, 17111, 17325, 1068 ]

[ 5150, 1016, 1054, 4577, 1026, 2002, 8280, 27317, 1022, 1069, 1068, 2073, 1359, 1009, 9852, 20, 1, 24789, 95, 16854, 57, 2509, 27592, 1009, 3938, 1043, 2079, 1444, 1730, 12155, 1496, 1130, 1005, 25570, 1068, 16256, 1759, 2509, 27592, 1009, 3938, 1043, 2079, 1444, 1730, 12155, 1496, 1130, 1005, 25570, 1068, 16256, 5919, 3512, 17805, 2103, 29661, 1054, 2128, 7447, 1152, 1559, 1152, 27492, 1030, 6699, 1086, 1212, 1093, 1008, 20521, 9576, 1566, 9208, 1048, 7464, 1009, 5525, 1009, 7603, 1005, 1009, 25570, 2246, 2540, 1048, 2220, 2446, 1009, 3897, 1058, 7760, 9426, 1028, 11628, 11341, 12805, 1569, 5795, 1009, 3938, 1294, 4679, 20522, 4145, 1068, 16529, 1048, 2079, 1444, 20777, 1325, 9454, 3062, 32, 1365, 1132, 5492, 27592, 2429, 9269, 1752, 1044, 1043, 1094, 4386, 1140, 3630, 6977, 3282, 1006, 1168, 2903, 13310, 1200, 21539, 1005, 2220, 2446, 1009, 9798, 1295, 1068, 1663, 1026, 23231, 1069, 1349, 2155, 1178, 4417, 1299, 1160, 11146, 20092, 1356, 2444, 23593, 1119, 3119, 1236, 37, 8295, 1695, 1295, 3028, 5286, 7, 2995, 1065, 1104, 4474, 1328, 1680, 14540, 3426, 13687, 1200, 1078, 2166, 30343, 1348, 1005, 10593, 1068, 1011, 17001, 1006, 6388, 1009, 4350, 20, 10590, 5948, 1006, 8596, 3019, 25570, 1086, 1130, 6114, 1048, 5325, 1006, 2073, 3907, 7, 1138, 7603, 3904, 3454, 1065, 1479, 9750, 1309, 1043, 5654, 26607, 3461, 1059, 14666, 1397, 2582, 1114, 5913, 1005, 1072, 23231, 11922, 1687, 3904, 10672, 1140, 1005, 1043, 27673, 78, 2768, 1599, 1264, 13879, 1043, 12705, 2768, 5010, 1138, 2920, 15323, 1043, 8575, 5443, 78, 1599, 18954, 1068, 1026, 5654, 1064, 12224, 1064, 6817, 1704, 82, 1137, 1680, 11271, 1356, 2790, 1009, 2453, 1479, 2799, 95, 1005, 2201, 1114, 24452, 1566, 1048, 1989, 8852, 1043, 1094, 4386, 1140, 2191, 2318, 1725, 1034, 12604, 7797, 1157, 1114, 1475, 24049, 20, 4986, 1631, 2201, 14589, 1410, 2432, 1599, 1043, 12705, 11320, 1331, 14636, 24918, 1680, 2768, 1312, 1043, 13571, 1328, 1005, 7423, 4051, 5436, 1036, 1091, 1026, 1235, 2301, 1044, 2311, 2961, 91, 19091, 7743, 1463, 14510, 1005, 3687, 1066, 24473, 3822, 1043, 1124, 6000, 1068, 7386, 1026, 12995, 15, 3021, 1104, 1147, 24798, 32, 5913, 1043, 3596, 4729, 5484, 11719, 1028, 3293, 2201, 2582, 1604, 2166, 1011, 17001, 4434, 79, 8554, 4805, 23670, 1009, 27673, 78, 0, 1551, 1472, 1054, 1511, 27926, 1309, 1998, 1054, 16044, 1111, 1292, 1074, 5240, 10737, 15954, 37, 1972, 31779, 1026, 25570, 1622, 10182, 7603, 6777, 13131, 32, 2220, 1987, 74, 1069, 1114, 4953, 1005, 11331, 1069, 1068, 6529, 15251, 1506, 29577, 158, 32, 5913, 2693, 15404, 5842, 1680, 1213, 3239, 1060, 1004, 1525, 1865, 18, 1184, 11719, 1086, 24688, 95, 1005, 7603, 1043, 16906, 1932, 11991, 1229, 1365, 1026, 16373, 1005, 1026, 2799, 3965, 1972, 1094, 6392, 2559, 1037, 95, 1009, 8730, 37, 3292, 14736, 1299, 1160, 3012, 6016, 1853, 10806, 22027, 1484, 1226, 1026, 7462, 32, 1006, 5913, 3904, 1680, 4951, 6284, 1006, 11719, 1005, 1026, 4605, 1013, 1069, 14435, 3316, 10009, 4169, 1068, 16505, 1511, 1058, 5471, 1044, 3447, 1939, 13154, 1072, 7603, 5838, 1044, 2201, 3397, 1021, 3426, 1206, 1620, 1044, 12688, 1031, 19118, 15, 1833, 1068, 11853, 1006, 4558, 1014, 1411, 1094, 2935, 1680, 17006, 1377, 25667, 3179, 15259, 5913, 17323, 18, 1309, 1305, 8716, 11347, 5160, 7603, 7552, 1043, 5429, 7295, 1023, 23408, 14001, 1132, 1011, 17001, 23597, 5588, 1048, 8667, 1024, 1479, 23346, 1857, 1327, 4214, 16808, 1060, 2079, 1444, 1730, 1377, 2605, 1026, 3957, 1060, 3733, 7917, 3027, 1094, 5655, 7743, 20, 1, 7111, 1055, 32, 12935, 2566, 5604, 13774, 1006, 17411, 7761, 1024, 6022, 1009, 3538, 1009, 10545, 3165, 1175, 4984, 7447, 9521, 1175, 25715, 12935, 5, 5940, 7447, 9521, 21881, 10701, 1467, 7401, 17046, 8830, 25818, 1094, 14353, 1055, 1072, 1831, 28985, 1667, 1138, 27573, 1187, 6022, 1271, 14234, 1009, 3538, 1009, 10545, 3165, 4291, 1178, 3330, 1006, 2073, 5847, 1054, 3164, 11148, 1357, 13774, 22690, 12890, 9970, 1124, 6264, 22868, 1114, 26559, 1159, 10363, 1049, 2017, 2161, 1043, 25391, 14120, 1009, 2125, 12627, 1063, 2323, 1009, 1083, 0, 1009, 2992, 1009, 7434, 1006, 13774, 4291, 4125, 1006, 6825, 16409, 1294, 6022, 1271, 7212, 1273, 1463, 19743, 10545, 25849, 2464, 1054, 1720, 1060, 29026, 2927, 5304, 2773, 75, 3407, 30639, 1005, 6230, 1188, 1009, 1044, 19149, 10568, 2323, 1009, 1083, 0, 1009, 2992, 1009, 7434, 1006, 13774, 22690, 4291, 6825, 16409, 1294, 6022, 1009, 14234, 1463, 19743, 10545, 25849, 2464, 1054, 1720, 1060, 29026, 2927, 5304, 1972, 3005, 11720, 10698, 2350, 3443, 2432, 2223, 1138, 16409, 4291, 1178, 5197, 16058, 1006, 16951, 1060, 1062, 1466, 1126, 1986, 5556, 15655, 22116, 1233, 6338, 1009, 22186, 18, 11674, 24786, 16987, 1005, 18993, 3165, 1511, 32, 2827, 3081, 2017, 4410, 7511, 1213, 1048, 15622, 1847, 29399, 1206, 3398, 6022, 21911, 1679, 1048, 1050, 4888, 1847, 9626, 1166, 33, 1206, 1026, 17200, 2006, 1060, 10784, 9729, 1009, 4410, 1206, 1009, 6022, 14062, 1234, 7511, 15047, 1072, 14787, 1100, 17767, 1221, 1233, 14852, 17200, 2006, 1049, 21197, 2769, 1009, 2804, 1872, 1213, 29908, 1796, 5670, 6136, 54, 7521, 1349, 2271, 1048, 1026, 3041, 5594, 1506, 6715, 1068, 13371, 1060, 14852, 2374, 18049, 1072, 25663, 2224, 3952, 15094, 1452, 1213, 16409, 1009, 4410, 1206, 6022, 1184, 7889, 5433, 2270, 1063, 26559, 1919, 1620, 2464, 1511, 1026, 17200, 2006, 1009, 4465, 1234, 4260, 1233, 14852, 1049, 7478, 41, 2722, 1264, 4564, 4291, 1178, 3330, 1986, 9478, 15655, 1060, 4572, 12075, 12552, 2568, 17773, 20, 1, 9059, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 1175, 9059, 3728, 9369, 19510, 1152, 19510, 1005, 2376, 1828, 9872, 1049, 9059, 3728, 9369, 1152, 6268, 1017, 1005, 8725, 1018, 11658, 2135, 9059, 1078, 2162, 73, 2135, 1431, 10688, 1436, 2135, 9059, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 1797, 1218, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 13152, 1160, 1693, 1558, 2495, 1072, 1235, 4478, 3068, 8404, 1049, 3525, 1078, 2162, 73, 2503, 79, 5831, 9229, 22087, 4015, 50, 30978, 14, 23, 2414, 1254, 7199, 72, 31091, 1132, 5278, 1043, 1094, 11980, 2519, 18, 1309, 2306, 9578, 25606, 1149, 1072, 2933, 1225, 1048, 1023, 5876, 1026, 23949, 1068, 1261, 1006, 1235, 3159, 1026, 1807, 13470, 9229, 3448, 1803, 2369, 19316, 29996, 1005, 8313, 7079, 1060, 13338, 5978, 1049, 15097, 4355, 1182, 88, 1874, 1071, 2321, 13986, 14, 23, 2084, 1254, 30461, 1040, 1009, 9889, 7248, 1072, 1901, 7755, 9121, 2653, 3525, 1078, 1689, 22923, 3259, 1006, 8436, 1075, 3890, 3328, 5844, 28508, 1096, 2631, 10432, 1005, 1058, 9326, 1294, 5242, 2147, 3174, 5425, 1726, 2624, 1381, 1456, 2933, 96, 3342, 1318, 1005, 1298, 5392, 1043, 1026, 1067, 45, 1009, 3700, 7150, 1533, 1012, 27675, 4243, 2794, 11285, 14, 2400, 1254, 1308, 6107, 1945, 3863, 1054, 3179, 1664, 1132, 6753, 1400, 3360, 1356, 7640, 4410, 2950, 1356, 1033, 2564, 1009, 2933, 18, 4597, 18917, 16261, 1196, 2535, 7181, 2933, 12799, 1006, 7855, 1058, 6678, 1800, 7061, 1005, 22729, 1026, 1067, 45, 2276, 19007, 18512, 1106, 1214, 1014, 2663, 5264, 15, 14, 12430, 1254, 10122, 1712, 26516, 1060, 7669, 1187, 6956, 1010, 16414, 1402, 1325, 1009, 2922, 1213, 4478, 1571, 17422, 1379, 1068, 1026, 16672, 2730, 3428, 1571, 1058, 10333, 1233, 6411, 1005, 6868, 1132, 1173, 2044, 1229, 2306, 4337, 6559, 1043, 1044, 2933, 14280, 1009, 3971, 37, 3141, 8440, 1045, 8384, 72, 1020, 4015, 50, 30978, 14, 2400, 1254, 15973, 1179, 6933, 1876, 22530, 1049, 22108, 9281, 1271, 26535, 80, 2032, 5645, 6559, 13511, 1213, 10019, 2469, 1096, 1557, 1009, 7909, 1006, 4600, 1043, 1026, 5768, 19390, 1068, 1160, 1261, 1048, 6242, 1043, 1235, 19571, 1295, 2231, 22971, 1095, 2681, 1114, 8404, 16610, 12083, 8384, 72, 1020, 1160, 1225, 3192, 1043, 3005, 1026, 2265, 1800, 1044, 1514, 3013, 1370, 1005, 14756, 1508, 1493, 1054, 1224, 6085, 2217, 6336, 1005, 15511, 5076, 26532, 28472, 1318, 3028, 5286, 1009, 8811, 1005, 27150, 1059, 75, 3028, 6974, 1068, 5319, 1235, 12735, 1797, 1218, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 18918, 1171, 5067, 1431, 81, 28388, 2488, 15381, 3149, 15892, 4152, 1123, 15392, 32, 1487, 1, 1119, 2165, 1919, 1048, 10092, 1028, 15604, 1225, 1172, 983, 72, 1177, 11289, 1005, 5649, 6240, 1014, 1050, 983, 1131, 85, 4354, 1050, 983, 1131, 85, 12985, 1356, 6134, 1900, 15604, 1119, 2165, 22683, 15, 1114, 20140, 86, 2607, 1054, 1048, 1516, 18574, 1049, 21817, 4299, 3943, 9265, 1406, 8220, 1114, 3546, 6447, 1054, 7218, 12860, 20882, 19987, 1213, 29785, 4906, 3068, 9307, 9108, 1349, 2097, 1264, 21754, 1006, 6516, 1021, 1889, 1159, 31814, 11289, 1068, 1006, 3444, 8779, 1009, 1005, 1297, 1609, 30512, 1009, 1067, 15604, 10533, 1138, 1050, 983, 1131, 85, 4112, 1814, 2271, 1261, 983, 71, 3262, 2149, 7362, 1463, 4928, 3732, 1118, 1968, 983, 90, 1391, 1060, 8515, 1060, 8592, 1533, 6516, 1021, 1889, 20140, 18488, 1054, 1008, 983, 1206, 11569, 1075, 1599, 4051, 983, 1136, 1006, 2323, 1049, 11283, 1009, 6648, 1176, 983, 2198, 1010, 1060, 3164, 1009, 3991, 1337, 1005, 1048, 8651, 11892, 1166, 1357, 1634, 983, 1042, 1199, 4908, 1050, 983, 1131, 85, 1009, 3943, 29109, 1406, 1026, 1215, 15604, 18574, 1057, 1255, 6885, 1044, 6752, 1048, 2284, 8220, 1044, 2868, 1048, 1244, 1785, 1172, 983, 72, 1478, 23691, 1068, 11622, 4846, 7233, 983, 72, 1478, 23691, 37, 31859, 983, 7596, 1048, 4614, 12942, 6800, 11622, 3694, 13330, 1014, 983, 1267, 18, 1064, 983, 2155, 1261, 1172, 983, 72, 1177, 11289, 37, 31859, 983, 7596, 1048, 1855, 983, 83, 11622, 3694, 12942, 6800, 13330, 1014, 983, 1267, 22011, 1298, 1261, 1172, 983, 72, 1177, 11289, 37, 1603, 1264, 1058, 11289, 18, 1264, 1225, 1048, 3754, 1340, 983, 1016, 1006, 3219, 1406, 4979, 1119, 2165, 1213, 20118, 1049, 2733, 11968, 1114, 5563, 79, 983, 1667, 1138, 1057, 1255, 1444, 1188, 2697, 1461, 1150, 2881, 1041, 1188, 8, 1356, 18574, 1700, 1708, 1846, 24572, 3323, 2528, 1634, 1165, 1069, 1054, 6521, 15648, 1213, 2790, 1049, 18161, 1005, 18864, 16158, 1577, 1009, 1067, 15604, 4989, 4660, 14860, 2253, 5377, 1208, 4432, 18, 1119, 2165, 1973, 1028, 15604, 1058, 8356, 1049, 1050, 983, 1131, 1667, 28825, 1469, 1208, 15604, 1989, 1050, 983, 1131, 1667, 1144, 15604, 3356, 79, 1006, 1989, 1050, 983, 1131, 1100, 9500, 1208, 983, 1667, 1144, 15604, 3002, 3048, 11971, 1322, 1616, 1406, 9410, 6889, 76, 10538, 1060, 6516, 6060, 1126, 1048, 1151, 983, 20140, 9124, 1357, 4482, 3391, 983, 82, 1145, 1043, 1006, 1865, 1814, 30512, 15776, 5328, 1026, 18161, 30334, 1201, 7615, 3033, 1006, 6999, 983, 1667, 3943, 10092, 1225, 13971, 1802, 1207, 983, 72, 1177, 11289, 20140, 1068, 2306, 1225, 13674, 1009, 17955, 1005, 1298, 1058, 2997, 1213, 16373, 1009, 1261, 1094, 15174, 30512, 5416, 18, 2217, 1089, 25685, 1018, 1445, 11072, 15174, 25685, 1667, 1073, 4080, 1028, 15604, 1225, 1616, 1406, 4979, 5377, 1208, 4432, 3301, 8891, 2564, 1048, 1026, 7322, 1060, 2217, 1089, 30512, 20140, 1622, 1058, 20291, 20140, 24749, 1043, 2604, 5017, 5350, 1041, 6284, 2742, 12550, 2289, 1493, 15185, 1479, 983, 1044, 2803, 1173, 983, 2952, 1680, 6576, 4576, 1989, 2909, 1026, 7856, 1060, 2217, 1089, 25685, 1667, 1505, 983, 11116, 1006, 2306, 1058, 21057, 4737, 1072, 1413, 15604, 1118, 13971, 1324, 4540, 3417, 1009, 7304, 2246, 1028, 15604, 3002, 2997, 1616, 1206, 2246, 1264, 1028, 15604, 1298, 1058, 20291, 3552, 7975, 1680, 7924, 24603, 21774, 1079, 1026, 16927, 3915, 4702, 1119, 2165, 6329, 1379, 1124, 2880, 1049, 1429, 1131, 3424, 3943, 10092, 1225, 13971, 1324, 1028, 15604, 1225, 1172, 983, 72, 1177, 11289, 20, 1505, 1048, 2122, 18144, 983, 1217, 1054, 1044, 5054, 1159, 1989, 6431, 1797, 16769, 13076, 1062, 983, 51, 26706, 5161, 1271, 4515, 7332, 1049, 5485, 1050, 983, 1131, 85, 20140, 1006, 6761, 3013, 1067, 983, 83, 1034, 7377, 11792, 11055, 4562, 1349, 1060, 22009, 1009, 1026, 1334, 79, 30512, 1213, 6134, 1114, 1062, 983, 83, 24495, 1063, 13639, 20140, 7318, 1009, 1094, 10731, 79, 30512, 1068, 1048, 1006, 4769, 25309, 2140, 1094, 27883, 24492, 1398, 15604, 31765, 1009, 1705, 1022, 983, 1981, 15, 1322, 1006, 6516, 1021, 1889, 1175, 2920, 4917, 1118, 1687, 1009, 3730, 16769, 1060, 4042, 30512, 6268, 1685, 2100, 1138, 1050, 983, 1131, 85, 4434, 1069, 1118, 1687, 1072, 6332, 2569, 1173, 983, 2237, 4886, 2916, 1009, 7976, 1910, 11461, 71, 25685, 1018, 6033, 6521, 1213, 2790, 1049, 1429, 1131, 1672, 1119, 2165, 4979, 1048, 1067, 983, 83, 1034, 8055, 6569, 6799, 3326, 983, 1092, 1554, 11310, 983, 1678, 1687, 1058, 6003 ]

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

[ 5150, 1016, 1054, 4577, 1026, 2002, 8280, 27317, 1022, 1069, 1068, 2073, 1359, 1009, 9852, 20, 1, 24789, 95, 16854, 57, 2509, 27592, 1009, 3938, 1043, 2079, 1444, 1730, 12155, 1496, 1130, 1005, 25570, 1068, 16256, 1759, 2509, 27592, 1009, 3938, 1043, 2079, 1444, 1730, 12155, 1496, 1130, 1005, 25570, 1068, 16256, 5919, 3512, 17805, 2103, 29661, 1054, 2128, 7447, 1152, 1559, 1152, 27492, 1030, 6699, 1086, 1212, 1093, 1008, 20521, 9576, 1566, 9208, 1048, 7464, 1009, 5525, 1009, 7603, 1005, 1009, 25570, 2246, 2540, 1048, 2220, 2446, 1009, 3897, 1058, 7760, 9426, 1028, 11628, 11341, 12805, 1569, 5795, 1009, 3938, 1294, 4679, 20522, 4145, 1068, 16529, 1048, 2079, 1444, 20777, 1325, 9454, 3062, 32, 1365, 1132, 5492, 27592, 2429, 9269, 1752, 1044, 1043, 1094, 4386, 1140, 3630, 6977, 3282, 1006, 1168, 2903, 13310, 1200, 21539, 1005, 2220, 2446, 1009, 9798, 1295, 1068, 1663, 1026, 23231, 1069, 1349, 2155, 1178, 4417, 1299, 1160, 11146, 20092, 1356, 2444, 23593, 1119, 3119, 1236, 37, 8295, 1695, 1295, 3028, 5286, 7, 2995, 1065, 1104, 4474, 1328, 1680, 14540, 3426, 13687, 1200, 1078, 2166, 30343, 1348, 1005, 10593, 1068, 1011, 17001, 1006, 6388, 1009, 4350, 20, 10590, 5948, 1006, 8596, 3019, 25570, 1086, 1130, 6114, 1048, 5325, 1006, 2073, 3907, 7, 1138, 7603, 3904, 3454, 1065, 1479, 9750, 1309, 1043, 5654, 26607, 3461, 1059, 14666, 1397, 2582, 1114, 5913, 1005, 1072, 23231, 11922, 1687, 3904, 10672, 1140, 1005, 1043, 27673, 78, 2768, 1599, 1264, 13879, 1043, 12705, 2768, 5010, 1138, 2920, 15323, 1043, 8575, 5443, 78, 1599, 18954, 1068, 1026, 5654, 1064, 12224, 1064, 6817, 1704, 82, 1137, 1680, 11271, 1356, 2790, 1009, 2453, 1479, 2799, 95, 1005, 2201, 1114, 24452, 1566, 1048, 1989, 8852, 1043, 1094, 4386, 1140, 2191, 2318, 1725, 1034, 12604, 7797, 1157, 1114, 1475, 24049, 20, 4986, 1631, 2201, 14589, 1410, 2432, 1599, 1043, 12705, 11320, 1331, 14636, 24918, 1680, 2768, 1312, 1043, 13571, 1328, 1005, 7423, 4051, 5436, 1036, 1091, 1026, 1235, 2301, 1044, 2311, 2961, 91, 19091, 7743, 1463, 14510, 1005, 3687, 1066, 24473, 3822, 1043, 1124, 6000, 1068, 7386, 1026, 12995, 15, 3021, 1104, 1147, 24798, 32, 5913, 1043, 3596, 4729, 5484, 11719, 1028, 3293, 2201, 2582, 1604, 2166, 1011, 17001, 4434, 79, 8554, 4805, 23670, 1009, 27673, 78, 0, 1551, 1472, 1054, 1511, 27926, 1309, 1998, 1054, 16044, 1111, 1292, 1074, 5240, 10737, 15954, 37, 1972, 31779, 1026, 25570, 1622, 10182, 7603, 6777, 13131, 32, 2220, 1987, 74, 1069, 1114, 4953, 1005, 11331, 1069, 1068, 6529, 15251, 1506, 29577, 158, 32, 5913, 2693, 15404, 5842, 1680, 1213, 3239, 1060, 1004, 1525, 1865, 18, 1184, 11719, 1086, 24688, 95, 1005, 7603, 1043, 16906, 1932, 11991, 1229, 1365, 1026, 16373, 1005, 1026, 2799, 3965, 1972, 1094, 6392, 2559, 1037, 95, 1009, 8730, 37, 3292, 14736, 1299, 1160, 3012, 6016, 1853, 10806, 22027, 1484, 1226, 1026, 7462, 32, 1006, 5913, 3904, 1680, 4951, 6284, 1006, 11719, 1005, 1026, 4605, 1013, 1069, 14435, 3316, 10009, 4169, 1068, 16505, 1511, 1058, 5471, 1044, 3447, 1939, 13154, 1072, 7603, 5838, 1044, 2201, 3397, 1021, 3426, 1206, 1620, 1044, 12688, 1031, 19118, 15, 1833, 1068, 11853, 1006, 4558, 1014, 1411, 1094, 2935, 1680, 17006, 1377, 25667, 3179, 15259, 5913, 17323, 18, 1309, 1305, 8716, 11347, 5160, 7603, 7552, 1043, 5429, 7295, 1023, 23408, 14001, 1132, 1011, 17001, 23597, 5588, 1048, 8667, 1024, 1479, 23346, 1857, 1327, 4214, 16808, 1060, 2079, 1444, 1730, 1377, 2605, 1026, 3957, 1060, 3733, 7917, 3027, 1094, 5655, 7743, 20, 1, 7111, 1055, 32, 12935, 2566, 5604, 13774, 1006, 17411, 7761, 1024, 6022, 1009, 3538, 1009, 10545, 3165, 1175, 4984, 7447, 9521, 1175, 25715, 12935, 5, 5940, 7447, 9521, 21881, 10701, 1467, 7401, 17046, 8830, 25818, 1094, 14353, 1055, 1072, 1831, 28985, 1667, 1138, 27573, 1187, 6022, 1271, 14234, 1009, 3538, 1009, 10545, 3165, 4291, 1178, 3330, 1006, 2073, 5847, 1054, 3164, 11148, 1357, 13774, 22690, 12890, 9970, 1124, 6264, 22868, 1114, 26559, 1159, 10363, 1049, 2017, 2161, 1043, 25391, 14120, 1009, 2125, 12627, 1063, 2323, 1009, 1083, 0, 1009, 2992, 1009, 7434, 1006, 13774, 4291, 4125, 1006, 6825, 16409, 1294, 6022, 1271, 7212, 1273, 1463, 19743, 10545, 25849, 2464, 1054, 1720, 1060, 29026, 2927, 5304, 2773, 75, 3407, 30639, 1005, 6230, 1188, 1009, 1044, 19149, 10568, 2323, 1009, 1083, 0, 1009, 2992, 1009, 7434, 1006, 13774, 22690, 4291, 6825, 16409, 1294, 6022, 1009, 14234, 1463, 19743, 10545, 25849, 2464, 1054, 1720, 1060, 29026, 2927, 5304, 1972, 3005, 11720, 10698, 2350, 3443, 2432, 2223, 1138, 16409, 4291, 1178, 5197, 16058, 1006, 16951, 1060, 1062, 1466, 1126, 1986, 5556, 15655, 22116, 1233, 6338, 1009, 22186, 18, 11674, 24786, 16987, 1005, 18993, 3165, 1511, 32, 2827, 3081, 2017, 4410, 7511, 1213, 1048, 15622, 1847, 29399, 1206, 3398, 6022, 21911, 1679, 1048, 1050, 4888, 1847, 9626, 1166, 33, 1206, 1026, 17200, 2006, 1060, 10784, 9729, 1009, 4410, 1206, 1009, 6022, 14062, 1234, 7511, 15047, 1072, 14787, 1100, 17767, 1221, 1233, 14852, 17200, 2006, 1049, 21197, 2769, 1009, 2804, 1872, 1213, 29908, 1796, 5670, 6136, 54, 7521, 1349, 2271, 1048, 1026, 3041, 5594, 1506, 6715, 1068, 13371, 1060, 14852, 2374, 18049, 1072, 25663, 2224, 3952, 15094, 1452, 1213, 16409, 1009, 4410, 1206, 6022, 1184, 7889, 5433, 2270, 1063, 26559, 1919, 1620, 2464, 1511, 1026, 17200, 2006, 1009, 4465, 1234, 4260, 1233, 14852, 1049, 7478, 41, 2722, 1264, 4564, 4291, 1178, 3330, 1986, 9478, 15655, 1060, 4572, 12075, 12552, 2568, 17773, 20, 1, 9059, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 1175, 9059, 3728, 9369, 19510, 1152, 19510, 1005, 2376, 1828, 9872, 1049, 9059, 3728, 9369, 1152, 6268, 1017, 1005, 8725, 1018, 11658, 2135, 9059, 1078, 2162, 73, 2135, 1431, 10688, 1436, 2135, 9059, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 1797, 1218, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 13152, 1160, 1693, 1558, 2495, 1072, 1235, 4478, 3068, 8404, 1049, 3525, 1078, 2162, 73, 2503, 79, 5831, 9229, 22087, 4015, 50, 30978, 14, 23, 2414, 1254, 7199, 72, 31091, 1132, 5278, 1043, 1094, 11980, 2519, 18, 1309, 2306, 9578, 25606, 1149, 1072, 2933, 1225, 1048, 1023, 5876, 1026, 23949, 1068, 1261, 1006, 1235, 3159, 1026, 1807, 13470, 9229, 3448, 1803, 2369, 19316, 29996, 1005, 8313, 7079, 1060, 13338, 5978, 1049, 15097, 4355, 1182, 88, 1874, 1071, 2321, 13986, 14, 23, 2084, 1254, 30461, 1040, 1009, 9889, 7248, 1072, 1901, 7755, 9121, 2653, 3525, 1078, 1689, 22923, 3259, 1006, 8436, 1075, 3890, 3328, 5844, 28508, 1096, 2631, 10432, 1005, 1058, 9326, 1294, 5242, 2147, 3174, 5425, 1726, 2624, 1381, 1456, 2933, 96, 3342, 1318, 1005, 1298, 5392, 1043, 1026, 1067, 45, 1009, 3700, 7150, 1533, 1012, 27675, 4243, 2794, 11285, 14, 2400, 1254, 1308, 6107, 1945, 3863, 1054, 3179, 1664, 1132, 6753, 1400, 3360, 1356, 7640, 4410, 2950, 1356, 1033, 2564, 1009, 2933, 18, 4597, 18917, 16261, 1196, 2535, 7181, 2933, 12799, 1006, 7855, 1058, 6678, 1800, 7061, 1005, 22729, 1026, 1067, 45, 2276, 19007, 18512, 1106, 1214, 1014, 2663, 5264, 15, 14, 12430, 1254, 10122, 1712, 26516, 1060, 7669, 1187, 6956, 1010, 16414, 1402, 1325, 1009, 2922, 1213, 4478, 1571, 17422, 1379, 1068, 1026, 16672, 2730, 3428, 1571, 1058, 10333, 1233, 6411, 1005, 6868, 1132, 1173, 2044, 1229, 2306, 4337, 6559, 1043, 1044, 2933, 14280, 1009, 3971, 37, 3141, 8440, 1045, 8384, 72, 1020, 4015, 50, 30978, 14, 2400, 1254, 15973, 1179, 6933, 1876, 22530, 1049, 22108, 9281, 1271, 26535, 80, 2032, 5645, 6559, 13511, 1213, 10019, 2469, 1096, 1557, 1009, 7909, 1006, 4600, 1043, 1026, 5768, 19390, 1068, 1160, 1261, 1048, 6242, 1043, 1235, 19571, 1295, 2231, 22971, 1095, 2681, 1114, 8404, 16610, 12083, 8384, 72, 1020, 1160, 1225, 3192, 1043, 3005, 1026, 2265, 1800, 1044, 1514, 3013, 1370, 1005, 14756, 1508, 1493, 1054, 1224, 6085, 2217, 6336, 1005, 15511, 5076, 26532, 28472, 1318, 3028, 5286, 1009, 8811, 1005, 27150, 1059, 75, 3028, 6974, 1068, 5319, 1235, 12735, 1797, 1218, 1078, 2162, 73, 4152, 1175, 1431, 10688, 1436, 1060, 1083, 0, 3854, 1140, 18918, 1171, 5067, 1431, 81, 28388, 2488, 15381, 3149, 15892, 4152, 1123, 15392, 32, 1487, 1, 1119, 2165, 1919, 1048, 10092, 1028, 15604, 1225, 1172, 983, 72, 1177, 11289, 1005, 5649, 6240, 1014, 1050, 983, 1131, 85, 4354, 1050, 983, 1131, 85, 12985, 1356, 6134, 1900, 15604, 1119, 2165, 22683, 15, 1114, 20140, 86, 2607, 1054, 1048, 1516, 18574, 1049, 21817, 4299, 3943, 9265, 1406, 8220, 1114, 3546, 6447, 1054, 7218, 12860, 20882, 19987, 1213, 29785, 4906, 3068, 9307, 9108, 1349, 2097, 1264, 21754, 1006, 6516, 1021, 1889, 1159, 31814, 11289, 1068, 1006, 3444, 8779, 1009, 1005, 1297, 1609, 30512, 1009, 1067, 15604, 10533, 1138, 1050, 983, 1131, 85, 4112, 1814, 2271, 1261, 983, 71, 3262, 2149, 7362, 1463, 4928, 3732, 1118, 1968, 983, 90, 1391, 1060, 8515, 1060, 8592, 1533, 6516, 1021, 1889, 20140, 18488, 1054, 1008, 983, 1206, 11569, 1075, 1599, 4051, 983, 1136, 1006, 2323, 1049, 11283, 1009, 6648, 1176, 983, 2198, 1010, 1060, 3164, 1009, 3991, 1337, 1005, 1048, 8651, 11892, 1166, 1357, 1634, 983, 1042, 1199, 4908, 1050, 983, 1131, 85, 1009, 3943, 29109, 1406, 1026, 1215, 15604, 18574, 1057, 1255, 6885, 1044, 6752, 1048, 2284, 8220, 1044, 2868, 1048, 1244, 1785, 1172, 983, 72, 1478, 23691, 1068, 11622, 4846, 7233, 983, 72, 1478, 23691, 37, 31859, 983, 7596, 1048, 4614, 12942, 6800, 11622, 3694, 13330, 1014, 983, 1267, 18, 1064, 983, 2155, 1261, 1172, 983, 72, 1177, 11289, 37, 31859, 983, 7596, 1048, 1855, 983, 83, 11622, 3694, 12942, 6800, 13330, 1014, 983, 1267, 22011, 1298, 1261, 1172, 983, 72, 1177, 11289, 37, 1603, 1264, 1058, 11289, 18, 1264, 1225, 1048, 3754, 1340, 983, 1016, 1006, 3219, 1406, 4979, 1119, 2165, 1213, 20118, 1049, 2733, 11968, 1114, 5563, 79, 983, 1667, 1138, 1057, 1255, 1444, 1188, 2697, 1461, 1150, 2881, 1041, 1188, 8, 1356, 18574, 1700, 1708, 1846, 24572, 3323, 2528, 1634, 1165, 1069, 1054, 6521, 15648, 1213, 2790, 1049, 18161, 1005, 18864, 16158, 1577, 1009, 1067, 15604, 4989, 4660, 14860, 2253, 5377, 1208, 4432, 18, 1119, 2165, 1973, 1028, 15604, 1058, 8356, 1049, 1050, 983, 1131, 1667, 28825, 1469, 1208, 15604, 1989, 1050, 983, 1131, 1667, 1144, 15604, 3356, 79, 1006, 1989, 1050, 983, 1131, 1100, 9500, 1208, 983, 1667, 1144, 15604, 3002, 3048, 11971, 1322, 1616, 1406, 9410, 6889, 76, 10538, 1060, 6516, 6060, 1126, 1048, 1151, 983, 20140, 9124, 1357, 4482, 3391, 983, 82, 1145, 1043, 1006, 1865, 1814, 30512, 15776, 5328, 1026, 18161, 30334, 1201, 7615, 3033, 1006, 6999, 983, 1667, 3943, 10092, 1225, 13971, 1802, 1207, 983, 72, 1177, 11289, 20140, 1068, 2306, 1225, 13674, 1009, 17955, 1005, 1298, 1058, 2997, 1213, 16373, 1009, 1261, 1094, 15174, 30512, 5416, 18, 2217, 1089, 25685, 1018, 1445, 11072, 15174, 25685, 1667, 1073, 4080, 1028, 15604, 1225, 1616, 1406, 4979, 5377, 1208, 4432, 3301, 8891, 2564, 1048, 1026, 7322, 1060, 2217, 1089, 30512, 20140, 1622, 1058, 20291, 20140, 24749, 1043, 2604, 5017, 5350, 1041, 6284, 2742, 12550, 2289, 1493, 15185, 1479, 983, 1044, 2803, 1173, 983, 2952, 1680, 6576, 4576, 1989, 2909, 1026, 7856, 1060, 2217, 1089, 25685, 1667, 1505, 983, 11116, 1006, 2306, 1058, 21057, 4737, 1072, 1413, 15604, 1118, 13971, 1324, 4540, 3417, 1009, 7304, 2246, 1028, 15604, 3002, 2997, 1616, 1206, 2246, 1264, 1028, 15604, 1298, 1058, 20291, 3552, 7975, 1680, 7924, 24603, 21774, 1079, 1026, 16927, 3915, 4702, 1119, 2165, 6329, 1379, 1124, 2880, 1049, 1429, 1131, 3424, 3943, 10092, 1225, 13971, 1324, 1028, 15604, 1225, 1172, 983, 72, 1177, 11289, 20, 1505, 1048, 2122, 18144, 983, 1217, 1054, 1044, 5054, 1159, 1989, 6431, 1797, 16769, 13076, 1062, 983, 51, 26706, 5161, 1271, 4515, 7332, 1049, 5485, 1050, 983, 1131, 85, 20140, 1006, 6761, 3013, 1067, 983, 83, 1034, 7377, 11792, 11055, 4562, 1349, 1060, 22009, 1009, 1026, 1334, 79, 30512, 1213, 6134, 1114, 1062, 983, 83, 24495, 1063, 13639, 20140, 7318, 1009, 1094, 10731, 79, 30512, 1068, 1048, 1006, 4769, 25309, 2140, 1094, 27883, 24492, 1398, 15604, 31765, 1009, 1705, 1022, 983, 1981, 15, 1322, 1006, 6516, 1021, 1889, 1175, 2920, 4917, 1118, 1687, 1009, 3730, 16769, 1060, 4042, 30512, 6268, 1685, 2100, 1138, 1050, 983, 1131, 85, 4434, 1069, 1118, 1687, 1072, 6332, 2569, 1173, 983, 2237, 4886, 2916, 1009, 7976, 1910, 11461, 71, 25685, 1018, 6033, 6521, 1213, 2790, 1049, 1429, 1131, 1672, 1119, 2165, 4979, 1048, 1067, 983, 83, 1034, 8055, 6569, 6799, 3326, 983, 1092, 1554, 11310, 983, 1678, 1687, 1058, 6003 ]

[ 1068, 4125, 1006, 20157, 1049, 4183, 1309, 1318, 4855, 1094, 7296, 1240, 11252, 6932, 1533, 3861, 21595, 1937, 2612, 1043, 2350, 7066, 1273, 3822, 1503, 1296, 1034, 1463, 4268, 1005, 14541, 18011, 4499, 8594, 1242, 7363, 1016, 1159, 14308, 2224, 31384, 1016, 1068, 1261, 3453, 1206, 2997, 1094, 2922, 1072, 5634, 10372, 1043, 1124, 3010, 1016, 5437, 1242, 2535, 20429, 12212, 1184, 1072, 3867, 1901, 1533, 1641, 1160, 1225, 8928, 1009, 4855, 1011, 17806, 1309, 1026, 29195, 1047, 1096, 21221, 1069, 1009, 15735, 1049, 16534, 1048, 1327, 3472, 1402, 1043, 1770, 12121, 14270, 23519, 12896, 1005, 1008, 2390, 20, 2858, 1187, 4290, 1184, 14960, 1072, 9192, 6969, 1096, 1026, 15711, 1677, 1163, 1350, 7376, 20, 2200, 2947, 1072, 5603, 8991, 3874, 1005, 11213, 16396, 2097, 1132, 4209, 25305, 5984, 1026, 1048, 18728, 1094, 4123, 8962, 1060, 8363, 1, 11935, 1049, 17328, 1048, 17785, 11273, 29996, 1068, 1006, 1638, 1914, 1009, 10790, 1096, 31665, 1043, 26432, 7300, 5, 3531, 24109, 9521, 17968, 4059, 27943, 5003, 26, 14991, 1175, 29205, 1175, 1605, 6721, 1049, 12684, 5995, 3517, 2794, 13913, 15, 23916, 1009, 22837, 1195, 31665, 3068, 9307, 17466, 10714, 9521, 1349, 1072, 7369, 19936, 1809, 1930, 1054, 8750, 20, 5153, 1224, 26316, 1411, 1264, 3765, 3583, 1072, 7369, 1043, 1094, 3838, 24300, 1005, 9952, 1068, 2175, 1112, 1005, 6477, 1009, 9824, 2223, 1424, 1132, 23952, 1195, 9819, 1069, 1026, 2738, 1009, 1094, 26432, 7300, 18193, 1060, 1178, 2590, 1049, 10851, 1026, 4185, 1291, 1325, 1043, 1044, 6980, 1009, 2926, 15339, 18, 1309, 1305, 10937, 1009, 3596, 20, 14351, 22952, 2864, 1264, 1096, 1026, 6721, 1184, 5485, 1049, 12684, 20, 1776, 3810, 8733, 13328, 10714, 9521, 1349, 1264, 16469, 2595, 1646, 1009, 2573, 7297, 1009, 23916, 1009, 22837, 1006, 2476, 1617, 89, 3343, 1009, 2997, 1026, 11273, 1009, 1946, 17220, 1114, 4497, 1049, 12842, 28480, 3258, 16026, 1048, 15718, 1945, 1142, 16242, 1, 4338, 28996, 6264, 19475, 28845, 1068, 6535, 13432, 1152, 7026, 1054, 3650, 1066, 1797, 3637, 28996, 6264, 19475, 28845, 1068, 6535, 13432, 1691, 1171, 1236, 31679, 1381, 1751, 1009, 1044, 3957, 1009, 6264, 10331, 1356, 2671, 1068, 25497, 1026, 24613, 1009, 6425, 3951, 1034, 5142, 1683, 2442, 6856, 1068, 5034, 1049, 10219, 5919, 18995, 5561, 1529, 1396, 1482, 2224, 7993, 18, 4119, 1175, 1204, 24402, 5168, 2442, 13320, 1467, 4338, 18111, 3068, 9307, 2149, 4681, 1006, 3777, 1236, 29426, 1486, 5251, 30, 14243, 2394, 1048, 1757, 6264, 19475, 28845, 1068, 6535, 13432, 20, 1063, 7898, 1096, 10830, 1006, 3606, 3918, 1009, 6043, 2983, 1187, 9559, 1068, 17544, 3171, 3098, 12111, 1063, 7401, 4054, 150, 1068, 5034, 1049, 10219, 5613, 10623, 29164, 5275, 1006, 19469, 1279, 1271, 6535, 13432, 1068, 17544, 3171, 1159, 1132, 1048, 12080, 4599, 1233, 3633, 6647, 9482, 24962, 2034, 5567, 5036, 1751, 1009, 1044, 3957, 1009, 6264, 10331, 1356, 2671, 1068, 25497, 1026, 24613, 1009, 6425, 3951, 1034, 1307, 1072, 6220, 1138, 29823, 12660, 1118, 4306, 13705, 24709, 1893, 1026, 2380, 10268, 4750, 5613, 6535, 3098, 6657, 10868, 8761, 16006, 1009, 6939, 1005, 22579, 1170, 1009, 1376, 1719, 25282, 8897, 1168, 10577, 6939, 29266, 1188, 1006, 2323, 1009, 2033, 7237, 1009, 6939, 1068, 14159, 9042, 1761, 20801, 1377, 1766, 1963, 2502, 1068, 13371, 1049, 6939, 29266, 1188, 3244, 1627, 2277, 1006, 1082, 6806, 1178, 20899, 1068, 1006, 18812, 3517, 1356, 7674, 5960, 20, 1063, 13829, 4291, 5379, 1006, 5416, 1149, 1187, 16443, 1118, 1495, 3251, 2864, 1005, 2258, 7195, 17402, 1009, 18208, 1322, 1026, 2161, 1009, 27432, 1058, 1234, 29442, 17281, 1149, 1294, 1858, 6163, 1068, 13371, 1704, 6939, 29266, 1188, 2177, 5746, 3465, 1188, 1356, 2671, 1054, 3453, 1206, 7268, 1060, 12495, 4345, 18770, 10164, 21640, 1846, 1009, 5822, 1312, 1124, 18568, 1060, 7272, 9466, 1043, 1006, 4630, 20, 6062, 2161, 1160, 4291, 1178, 3778, 1068, 1345, 5188, 1734, 5965, 3639, 9503, 1007, 3150, 3735, 1006, 7272, 9466, 4305, 1132, 16443, 1009, 14159, 9042, 1761, 20801, 71, 1187, 13857, 1026, 2161, 1049, 6939, 29266, 1188, 2177, 8757, 13578, 1679, 25222, 1074, 7546, 1043, 13183, 1114, 2068, 1009, 13371, 1049, 21141, 54, 48, 1005, 1060, 11017, 20797, 16943, 1006, 9985, 1060, 7401, 18, 1657, 1026, 1073, 4420, 1005, 1026, 1073, 9833, 1058, 2064, 24118, 1233, 9738, 1060, 4375, 20, 1972, 1026, 6483, 17244, 2882, 1091, 2645, 4420, 4134, 15908, 1006, 4375, 12978, 2997, 18627, 10547, 1679, 9559, 1150, 1196, 8976, 2596, 2481, 2100, 16845, 3112, 1022, 1689, 1096, 1048, 1826, 5928, 4430, 1043, 2122, 4375, 20, 5126, 6510, 1096, 6233, 1006, 5405, 1009, 11911, 1187, 5066, 1554, 8233, 5841, 4375, 1998, 1096, 14181, 1068, 3871, 1026, 11911, 1187, 1048, 1184, 5818, 1202, 3057, 6402, 1132, 3112, 1022, 1689, 1406, 1973, 3915, 5978, 1060, 31801, 1026, 6483, 3236, 1163, 2816, 29578, 20448, 4134, 11285, 4979, 1048, 1006, 5576, 1160, 1624, 5997, 3453, 1679, 3112, 1022, 5425, 1005, 10094, 4145, 26493, 1068, 1048, 1132, 5082, 2650, 6326, 4305, 1026, 3453, 1006, 1048, 1225, 3282, 1054, 4278, 1009, 6647, 5735, 8284, 1060, 8797, 1318, 2280, 13596, 1006, 31801, 1309, 25619, 84, 28305, 1006, 5978, 4661, 1356, 9214, 20, 1138, 5548, 1049, 2818, 11077, 6483, 19792, 18324, 1069, 5583, 53, 1349, 1005, 1026, 6483, 18414, 24526, 22683, 4134, 11285, 3442, 9446, 1048, 1026, 24205, 1511, 1836, 1114, 8797, 18, 21345, 1026, 7301, 1009, 1338, 1938, 1382, 1233, 1587, 6288, 1055, 1005, 1213, 10329, 5770, 1049, 7807, 13824, 1243, 2769, 22755, 30095, 3330, 1356, 14698, 6318, 7980, 8572, 21511, 3943, 9214, 18, 1233, 4180, 1049, 1683, 1870, 2521, 1026, 1712, 13689, 1072, 2861, 12152, 1406, 1973, 18324, 2270, 1, 1603, 1225, 1094, 3616, 1048, 2598, 12974, 1323, 17822, 1024, 1096, 1323, 15548, 1787, 2301, 1249, 1081, 80, 24007, 17807, 8717, 11680, 26524, 1249, 1081, 4251, 1048, 5952, 3342, 1206, 1187, 14832, 1068, 1006, 6446, 1187, 26051, 2358, 1107, 1589, 1048, 1160, 15715, 15869, 2246, 1927, 13567, 1589, 1493, 25093, 4685, 1118, 1989, 20928, 1927, 1488, 1088, 1089, 1054, 4883, 1006, 11298, 2045, 24789, 95, 28228, 1964, 20, 1505, 5052, 11486, 1256, 4803, 1178, 0, 23946, 19570, 1253, 16386, 6622, 2950, 37, 1479, 27593, 2636, 1068, 1006, 2045, 24789, 95, 28228, 1964, 2555, 1165, 21914, 30008, 9484, 24789, 95, 1106, 21580, 1870, 2572, 6622, 2950, 50, 7690, 1167, 1006, 1043, 3365, 1691, 1730, 15340, 3973, 1570, 1423, 1925, 8265, 1623, 3670, 3495, 3539, 23198, 1837, 1646, 1005, 1096, 1493, 3888, 2464, 1213, 2729, 1049, 4248, 1299, 13341, 1058, 2896, 8882, 1005, 5617, 1077, 1006, 4467, 12314, 1159, 3467, 1592, 1005, 1160, 1657, 7732, 1623, 7061, 8, 1009, 1178, 4467, 1103, 10871, 1063, 5315, 3446, 25113, 1927, 7062, 4861, 5727, 18, 1309, 2598, 8717, 11680, 1009, 4556, 1495, 1687, 9397, 1094, 2618, 1009, 3195, 1043, 1006, 1128, 40, 2126, 1916, 0, 23946, 19570, 1253, 1063, 2360, 2618, 1009, 19650, 1060, 5315, 3446, 25113, 2555, 1165, 21914, 5315, 3446, 19758, 2106, 1030, 11927, 1678, 1211, 73, 1076, 50, 7690, 1167, 1006, 1043, 3365, 1467, 86, 1943, 20946, 3973, 1570, 1423, 1925, 8265, 1623, 3670, 1160, 5192, 1058, 7110, 1566, 13712, 13015, 1309, 1044, 2017, 18567, 1009, 2920, 1104, 1325, 9454, 1043, 20984, 1063, 30947, 1662, 1034, 6192, 1068, 1132, 26407, 23257, 2930, 28015, 5654, 1795, 5920, 6485, 1679, 3794, 2920, 3020, 1044, 5654, 20090, 1221, 12507, 1005, 12926, 7, 15278, 1177, 1048, 2122, 9883, 3241, 28147, 1043, 1026, 1067, 1019, 13041, 1060, 2376, 14723, 1034, 1106, 17316, 3351, 78, 1875, 89, 1048, 2521, 3189, 1846, 0, 23946, 19570, 1253, 1063, 2360, 9883, 1187, 2920, 3020, 20090, 1391, 2555, 1165, 21914, 2920, 15323, 2920, 1104, 21716, 1763, 1100, 18939, 4261, 8509, 50, 7690, 1167, 1006, 1043, 3365, 1467, 86, 1943, 14337, 3973, 1570, 1423, 1925, 8265, 1623, 22157, 4434, 1325, 2191, 10513, 1599, 1309, 1096, 1009, 21947, 4345, 7, 14581, 6242, 2289, 1322, 1026, 1465, 1032, 1027, 1009, 9914, 1048, 2734, 1089, 1060, 30206, 17474, 1005, 1159, 1663, 1068, 2167, 4492, 2247, 1049, 1235, 18, 2539, 3700, 1917, 1018, 6732, 75, 1040, 2486, 5048, 1063, 30206, 17474, 1566, 1225, 1837, 1702, 4248, 2307, 1072, 3878, 1044, 2868, 1009, 27816, 5580, 1213, 1060, 1086, 2107, 1377, 5126, 1160, 1327, 0, 23946, 19570, 1253, 3682, 1032, 1027, 1009, 9914, 1060, 30206, 17474, 7, 3341, 31702, 5228, 21140, 3973, 8214, 91, 5228, 18669, 4053, 1570, 1423, 1925, 8265, 1623, 2324, 9886, 71, 1715, 1381, 1557, 1048, 3074, 1068, 1268, 1604, 1024, 2237, 2068, 7, 20319, 79, 1006, 22488, 1171, 7070, 3926, 2340, 1836, 1043, 2252, 1124, 5220, 13772, 7893, 1580, 1072, 1852, 14280, 2170, 1114, 7139, 14803, 21578, 1060, 30206, 1137, 2339, 1026, 4410, 1030, 1393, 1680, 1184, 5399, 20, 2800, 1566, 1225, 4248, 3108, 1089, 1680, 1005, 24306, 6242, 2289, 1068, 7110, 7, 5011, 2257, 19431, 2754, 1268, 17722, 9485, 1493, 1680, 1060, 0, 23946, 19570, 1253, 3064, 2178, 1479, 12848, 30046, 6215, 1730, 22488, 1171, 7070, 1021, 1, 31417, 1305, 12913, 6934, 1114, 16582, 1940, 1997, 79, 5071, 21677, 32, 11473, 1217, 1026, 8566, 1009, 1834, 1009, 1224, 11765, 1049, 6949, 79, 5071, 8636, 3576, 2063, 5464, 4978, 3340, 1005, 25066, 15912, 22502, 1016, 19949, 3576, 2063, 2357, 1049, 6949, 79, 5071, 21677, 3564, 1281, 1099, 1787, 3328, 1009, 3177, 15969, 1298, 1178, 1044, 8967, 4240, 2038, 3617, 1766, 2927, 11053, 1009, 3444, 6510, 7028, 1930, 8929, 19276, 21921, 3171, 1005, 19351, 1224, 3444, 1305, 12913, 1009, 1871, 22310, 1377, 1138, 10337, 1049, 6949, 79, 5071, 2290, 6949, 79, 5071, 21677, 5046, 5604, 1026, 10337, 1049, 8566, 1009, 1834, 1009, 6949, 79, 5071, 89, 15969, 1043, 1094, 8510, 1009, 16582, 9750, 19537, 11150, 1005, 4445, 1009, 2071, 1048, 1298, 1178, 3447, 1140, 1009, 2073, 2269, 4578, 2808, 1026, 2550, 1049, 6949, 79, 5071, 7322, 1068, 9210, 9637, 3028, 4226, 1202, 1893, 14394, 1280, 1009, 4772, 2875, 1252, 3238, 1049, 6949, 79, 5071, 21677, 1467, 6949, 1021, 1095, 1058, 4955, 1072, 5290, 1307, 1049, 8308, 1009, 15393, 1777, 1533, 6949, 1021, 1095, 8798, 1026, 2017, 6949, 79, 54, 1074, 3387, 1142, 4541, 1094, 6808, 17266, 1009, 5034, 1009, 7633, 1305, 12913, 3590, 1095, 21056, 1049, 4168, 1049, 6949, 79, 5071, 21677, 17169, 6949, 79, 5071, 21677, 4351, 21317, 1009, 10337, 1068, 6949, 79, 5071, 89, 15969, 1048, 16129, 1009, 8022, 10010, 8860, 1077, 1044, 2285, 15801, 1009, 4772, 1006, 3056, 3235, 8860, 1077, 2539, 1910, 1107, 4846, 1138, 6949, 79, 5071, 21677, 4279, 2033, 7563, 1930, 8929, 19276, 21921, 3171, 1005, 19351, 1224, 11765, 1118, 2191, 1009, 1094, 8510, 1009, 3142, 4445, 1009, 4966, 20, 1424, 3918, 1009, 11765, 1009, 9607, 2752, 9356, 1026, 6949, 79, 5071, 21677, 5465, 1342, 1006, 4716, 1009, 4318, 6304, 1277, 2455, 4756, 1072, 12277, 3316, 5773, 1009, 12186, 1049, 6949, 79, 5071, 21677, 1096, 21449, 1043, 1752, 6949, 79, 5071, 18, 8913, 1048, 1044, 15558, 14104, 6154, 4772, 1213, 3159, 4441, 4209, 11041, 1049, 6949, 79, 45, 1660, 13967, 1054, 13681, 6949, 79, 5071, 89, 27667, 1213, 6949, 79, 45, 5076, 2328, 1060, 16582, 3634, 10066, 1026, 6949, 79, 8891, 11334, 1059, 3255, 5050, 1009, 9436, 1201, 2001, 1009, 13857, 11504, 1009, 8759, 1009, 3688, 1005, 1493, 1184, 1759, 7876, 1009, 3171, 5046, 4917, 1759, 7876, 1009, 3171, 5232, 1060, 8510, 1060, 16582, 15162, 1212, 1120, 1112, 8403, 1005, 9750, 1305, 4716, 1009, 5875, 6304, 1072, 2386, 8539, 86, 3297, 1027, 2532, 7869, 1060, 4008, 21216, 13832, 1009, 12186, 14274, 2585, 3283, 13949, 1005, 5184, 1383, 4418, 3691, 1009, 7685, 1068, 7304, 1726, 1569, 6106, 9531, 11163, 1009, 7633, 20051, 1940, 1014, 24922, 1009, 5034, 1009, 7633, 1009, 8255, 1305, 12913, 25717, 1305, 29709, 8008, 1691, 1085, 3340, 1005, 25066, 1049, 6949, 79, 5071, 21677, 5640, 6949, 79, 5071, 1826, 5262, 1054, 2539, 5834, 1068, 16257, 4278, 1009, 2490, 8745, 1005, 6299, 1009, 4410, 20, 1063, 5933, 1005, 1026, 3603, 1009, 1224, 3444, 1305, 12913, 1327, 7742, 1043, 1006, 29394, 2741, 71, 57, 6949, 79, 5071, 21677, 1060, 6949, 1021, 1095, 4578, 3524, 8377, 1114, 5342, 1009, 1044, 4772, 18, 21672, 2930, 7495, 7870, 1009, 3195, 4772, 4441, 3328, 1009, 3177, 1049, 6949, 79, 5071, 1327, 8700, 3259, 5046, 1250, 1356, 11467, 1009, 2033, 7563, 1303, 1005, 10337, 1049, 6949, 79, 5071, 2320, 1079, 10214, 1206, 1356, 11929, 1313, 50, 2805, 17797, 1009, 2073, 1168, 1212, 28850, 1009, 3227, 1049, 6949, 79, 45, 1660, 4441, 3328, 1009, 3177, 6949, 79, 5071, 22352, 5241, 3140, 1228, 18758, 3168, 2502, 1005, 1693, 1178, 8700, 3259, 5046, 1250, 1356, 11467, 1009, 10337, 1005, 2033, 7563, 1303, 1049, 6949, 79, 5071, 21677, 1206, 1356, 11929, 1313, 50, 2805, 17797, 1009, 2073, 1168, 1212, 28850 ]

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

[ 1068, 4125, 1006, 20157, 1049, 4183, 1309, 1318, 4855, 1094, 7296, 1240, 11252, 6932, 1533, 3861, 21595, 1937, 2612, 1043, 2350, 7066, 1273, 3822, 1503, 1296, 1034, 1463, 4268, 1005, 14541, 18011, 4499, 8594, 1242, 7363, 1016, 1159, 14308, 2224, 31384, 1016, 1068, 1261, 3453, 1206, 2997, 1094, 2922, 1072, 5634, 10372, 1043, 1124, 3010, 1016, 5437, 1242, 2535, 20429, 12212, 1184, 1072, 3867, 1901, 1533, 1641, 1160, 1225, 8928, 1009, 4855, 1011, 17806, 1309, 1026, 29195, 1047, 1096, 21221, 1069, 1009, 15735, 1049, 16534, 1048, 1327, 3472, 1402, 1043, 1770, 12121, 14270, 23519, 12896, 1005, 1008, 2390, 20, 2858, 1187, 4290, 1184, 14960, 1072, 9192, 6969, 1096, 1026, 15711, 1677, 1163, 1350, 7376, 20, 2200, 2947, 1072, 5603, 8991, 3874, 1005, 11213, 16396, 2097, 1132, 4209, 25305, 5984, 1026, 1048, 18728, 1094, 4123, 8962, 1060, 8363, 1, 11935, 1049, 17328, 1048, 17785, 11273, 29996, 1068, 1006, 1638, 1914, 1009, 10790, 1096, 31665, 1043, 26432, 7300, 5, 3531, 24109, 9521, 17968, 4059, 27943, 5003, 26, 14991, 1175, 29205, 1175, 1605, 6721, 1049, 12684, 5995, 3517, 2794, 13913, 15, 23916, 1009, 22837, 1195, 31665, 3068, 9307, 17466, 10714, 9521, 1349, 1072, 7369, 19936, 1809, 1930, 1054, 8750, 20, 5153, 1224, 26316, 1411, 1264, 3765, 3583, 1072, 7369, 1043, 1094, 3838, 24300, 1005, 9952, 1068, 2175, 1112, 1005, 6477, 1009, 9824, 2223, 1424, 1132, 23952, 1195, 9819, 1069, 1026, 2738, 1009, 1094, 26432, 7300, 18193, 1060, 1178, 2590, 1049, 10851, 1026, 4185, 1291, 1325, 1043, 1044, 6980, 1009, 2926, 15339, 18, 1309, 1305, 10937, 1009, 3596, 20, 14351, 22952, 2864, 1264, 1096, 1026, 6721, 1184, 5485, 1049, 12684, 20, 1776, 3810, 8733, 13328, 10714, 9521, 1349, 1264, 16469, 2595, 1646, 1009, 2573, 7297, 1009, 23916, 1009, 22837, 1006, 2476, 1617, 89, 3343, 1009, 2997, 1026, 11273, 1009, 1946, 17220, 1114, 4497, 1049, 12842, 28480, 3258, 16026, 1048, 15718, 1945, 1142, 16242, 1, 4338, 28996, 6264, 19475, 28845, 1068, 6535, 13432, 1152, 7026, 1054, 3650, 1066, 1797, 3637, 28996, 6264, 19475, 28845, 1068, 6535, 13432, 1691, 1171, 1236, 31679, 1381, 1751, 1009, 1044, 3957, 1009, 6264, 10331, 1356, 2671, 1068, 25497, 1026, 24613, 1009, 6425, 3951, 1034, 5142, 1683, 2442, 6856, 1068, 5034, 1049, 10219, 5919, 18995, 5561, 1529, 1396, 1482, 2224, 7993, 18, 4119, 1175, 1204, 24402, 5168, 2442, 13320, 1467, 4338, 18111, 3068, 9307, 2149, 4681, 1006, 3777, 1236, 29426, 1486, 5251, 30, 14243, 2394, 1048, 1757, 6264, 19475, 28845, 1068, 6535, 13432, 20, 1063, 7898, 1096, 10830, 1006, 3606, 3918, 1009, 6043, 2983, 1187, 9559, 1068, 17544, 3171, 3098, 12111, 1063, 7401, 4054, 150, 1068, 5034, 1049, 10219, 5613, 10623, 29164, 5275, 1006, 19469, 1279, 1271, 6535, 13432, 1068, 17544, 3171, 1159, 1132, 1048, 12080, 4599, 1233, 3633, 6647, 9482, 24962, 2034, 5567, 5036, 1751, 1009, 1044, 3957, 1009, 6264, 10331, 1356, 2671, 1068, 25497, 1026, 24613, 1009, 6425, 3951, 1034, 1307, 1072, 6220, 1138, 29823, 12660, 1118, 4306, 13705, 24709, 1893, 1026, 2380, 10268, 4750, 5613, 6535, 3098, 6657, 10868, 8761, 16006, 1009, 6939, 1005, 22579, 1170, 1009, 1376, 1719, 25282, 8897, 1168, 10577, 6939, 29266, 1188, 1006, 2323, 1009, 2033, 7237, 1009, 6939, 1068, 14159, 9042, 1761, 20801, 1377, 1766, 1963, 2502, 1068, 13371, 1049, 6939, 29266, 1188, 3244, 1627, 2277, 1006, 1082, 6806, 1178, 20899, 1068, 1006, 18812, 3517, 1356, 7674, 5960, 20, 1063, 13829, 4291, 5379, 1006, 5416, 1149, 1187, 16443, 1118, 1495, 3251, 2864, 1005, 2258, 7195, 17402, 1009, 18208, 1322, 1026, 2161, 1009, 27432, 1058, 1234, 29442, 17281, 1149, 1294, 1858, 6163, 1068, 13371, 1704, 6939, 29266, 1188, 2177, 5746, 3465, 1188, 1356, 2671, 1054, 3453, 1206, 7268, 1060, 12495, 4345, 18770, 10164, 21640, 1846, 1009, 5822, 1312, 1124, 18568, 1060, 7272, 9466, 1043, 1006, 4630, 20, 6062, 2161, 1160, 4291, 1178, 3778, 1068, 1345, 5188, 1734, 5965, 3639, 9503, 1007, 3150, 3735, 1006, 7272, 9466, 4305, 1132, 16443, 1009, 14159, 9042, 1761, 20801, 71, 1187, 13857, 1026, 2161, 1049, 6939, 29266, 1188, 2177, 8757, 13578, 1679, 25222, 1074, 7546, 1043, 13183, 1114, 2068, 1009, 13371, 1049, 21141, 54, 48, 1005, 1060, 11017, 20797, 16943, 1006, 9985, 1060, 7401, 18, 1657, 1026, 1073, 4420, 1005, 1026, 1073, 9833, 1058, 2064, 24118, 1233, 9738, 1060, 4375, 20, 1972, 1026, 6483, 17244, 2882, 1091, 2645, 4420, 4134, 15908, 1006, 4375, 12978, 2997, 18627, 10547, 1679, 9559, 1150, 1196, 8976, 2596, 2481, 2100, 16845, 3112, 1022, 1689, 1096, 1048, 1826, 5928, 4430, 1043, 2122, 4375, 20, 5126, 6510, 1096, 6233, 1006, 5405, 1009, 11911, 1187, 5066, 1554, 8233, 5841, 4375, 1998, 1096, 14181, 1068, 3871, 1026, 11911, 1187, 1048, 1184, 5818, 1202, 3057, 6402, 1132, 3112, 1022, 1689, 1406, 1973, 3915, 5978, 1060, 31801, 1026, 6483, 3236, 1163, 2816, 29578, 20448, 4134, 11285, 4979, 1048, 1006, 5576, 1160, 1624, 5997, 3453, 1679, 3112, 1022, 5425, 1005, 10094, 4145, 26493, 1068, 1048, 1132, 5082, 2650, 6326, 4305, 1026, 3453, 1006, 1048, 1225, 3282, 1054, 4278, 1009, 6647, 5735, 8284, 1060, 8797, 1318, 2280, 13596, 1006, 31801, 1309, 25619, 84, 28305, 1006, 5978, 4661, 1356, 9214, 20, 1138, 5548, 1049, 2818, 11077, 6483, 19792, 18324, 1069, 5583, 53, 1349, 1005, 1026, 6483, 18414, 24526, 22683, 4134, 11285, 3442, 9446, 1048, 1026, 24205, 1511, 1836, 1114, 8797, 18, 21345, 1026, 7301, 1009, 1338, 1938, 1382, 1233, 1587, 6288, 1055, 1005, 1213, 10329, 5770, 1049, 7807, 13824, 1243, 2769, 22755, 30095, 3330, 1356, 14698, 6318, 7980, 8572, 21511, 3943, 9214, 18, 1233, 4180, 1049, 1683, 1870, 2521, 1026, 1712, 13689, 1072, 2861, 12152, 1406, 1973, 18324, 2270, 1, 1603, 1225, 1094, 3616, 1048, 2598, 12974, 1323, 17822, 1024, 1096, 1323, 15548, 1787, 2301, 1249, 1081, 80, 24007, 17807, 8717, 11680, 26524, 1249, 1081, 4251, 1048, 5952, 3342, 1206, 1187, 14832, 1068, 1006, 6446, 1187, 26051, 2358, 1107, 1589, 1048, 1160, 15715, 15869, 2246, 1927, 13567, 1589, 1493, 25093, 4685, 1118, 1989, 20928, 1927, 1488, 1088, 1089, 1054, 4883, 1006, 11298, 2045, 24789, 95, 28228, 1964, 20, 1505, 5052, 11486, 1256, 4803, 1178, 0, 23946, 19570, 1253, 16386, 6622, 2950, 37, 1479, 27593, 2636, 1068, 1006, 2045, 24789, 95, 28228, 1964, 2555, 1165, 21914, 30008, 9484, 24789, 95, 1106, 21580, 1870, 2572, 6622, 2950, 50, 7690, 1167, 1006, 1043, 3365, 1691, 1730, 15340, 3973, 1570, 1423, 1925, 8265, 1623, 3670, 3495, 3539, 23198, 1837, 1646, 1005, 1096, 1493, 3888, 2464, 1213, 2729, 1049, 4248, 1299, 13341, 1058, 2896, 8882, 1005, 5617, 1077, 1006, 4467, 12314, 1159, 3467, 1592, 1005, 1160, 1657, 7732, 1623, 7061, 8, 1009, 1178, 4467, 1103, 10871, 1063, 5315, 3446, 25113, 1927, 7062, 4861, 5727, 18, 1309, 2598, 8717, 11680, 1009, 4556, 1495, 1687, 9397, 1094, 2618, 1009, 3195, 1043, 1006, 1128, 40, 2126, 1916, 0, 23946, 19570, 1253, 1063, 2360, 2618, 1009, 19650, 1060, 5315, 3446, 25113, 2555, 1165, 21914, 5315, 3446, 19758, 2106, 1030, 11927, 1678, 1211, 73, 1076, 50, 7690, 1167, 1006, 1043, 3365, 1467, 86, 1943, 20946, 3973, 1570, 1423, 1925, 8265, 1623, 3670, 1160, 5192, 1058, 7110, 1566, 13712, 13015, 1309, 1044, 2017, 18567, 1009, 2920, 1104, 1325, 9454, 1043, 20984, 1063, 30947, 1662, 1034, 6192, 1068, 1132, 26407, 23257, 2930, 28015, 5654, 1795, 5920, 6485, 1679, 3794, 2920, 3020, 1044, 5654, 20090, 1221, 12507, 1005, 12926, 7, 15278, 1177, 1048, 2122, 9883, 3241, 28147, 1043, 1026, 1067, 1019, 13041, 1060, 2376, 14723, 1034, 1106, 17316, 3351, 78, 1875, 89, 1048, 2521, 3189, 1846, 0, 23946, 19570, 1253, 1063, 2360, 9883, 1187, 2920, 3020, 20090, 1391, 2555, 1165, 21914, 2920, 15323, 2920, 1104, 21716, 1763, 1100, 18939, 4261, 8509, 50, 7690, 1167, 1006, 1043, 3365, 1467, 86, 1943, 14337, 3973, 1570, 1423, 1925, 8265, 1623, 22157, 4434, 1325, 2191, 10513, 1599, 1309, 1096, 1009, 21947, 4345, 7, 14581, 6242, 2289, 1322, 1026, 1465, 1032, 1027, 1009, 9914, 1048, 2734, 1089, 1060, 30206, 17474, 1005, 1159, 1663, 1068, 2167, 4492, 2247, 1049, 1235, 18, 2539, 3700, 1917, 1018, 6732, 75, 1040, 2486, 5048, 1063, 30206, 17474, 1566, 1225, 1837, 1702, 4248, 2307, 1072, 3878, 1044, 2868, 1009, 27816, 5580, 1213, 1060, 1086, 2107, 1377, 5126, 1160, 1327, 0, 23946, 19570, 1253, 3682, 1032, 1027, 1009, 9914, 1060, 30206, 17474, 7, 3341, 31702, 5228, 21140, 3973, 8214, 91, 5228, 18669, 4053, 1570, 1423, 1925, 8265, 1623, 2324, 9886, 71, 1715, 1381, 1557, 1048, 3074, 1068, 1268, 1604, 1024, 2237, 2068, 7, 20319, 79, 1006, 22488, 1171, 7070, 3926, 2340, 1836, 1043, 2252, 1124, 5220, 13772, 7893, 1580, 1072, 1852, 14280, 2170, 1114, 7139, 14803, 21578, 1060, 30206, 1137, 2339, 1026, 4410, 1030, 1393, 1680, 1184, 5399, 20, 2800, 1566, 1225, 4248, 3108, 1089, 1680, 1005, 24306, 6242, 2289, 1068, 7110, 7, 5011, 2257, 19431, 2754, 1268, 17722, 9485, 1493, 1680, 1060, 0, 23946, 19570, 1253, 3064, 2178, 1479, 12848, 30046, 6215, 1730, 22488, 1171, 7070, 1021, 1, 31417, 1305, 12913, 6934, 1114, 16582, 1940, 1997, 79, 5071, 21677, 32, 11473, 1217, 1026, 8566, 1009, 1834, 1009, 1224, 11765, 1049, 6949, 79, 5071, 8636, 3576, 2063, 5464, 4978, 3340, 1005, 25066, 15912, 22502, 1016, 19949, 3576, 2063, 2357, 1049, 6949, 79, 5071, 21677, 3564, 1281, 1099, 1787, 3328, 1009, 3177, 15969, 1298, 1178, 1044, 8967, 4240, 2038, 3617, 1766, 2927, 11053, 1009, 3444, 6510, 7028, 1930, 8929, 19276, 21921, 3171, 1005, 19351, 1224, 3444, 1305, 12913, 1009, 1871, 22310, 1377, 1138, 10337, 1049, 6949, 79, 5071, 2290, 6949, 79, 5071, 21677, 5046, 5604, 1026, 10337, 1049, 8566, 1009, 1834, 1009, 6949, 79, 5071, 89, 15969, 1043, 1094, 8510, 1009, 16582, 9750, 19537, 11150, 1005, 4445, 1009, 2071, 1048, 1298, 1178, 3447, 1140, 1009, 2073, 2269, 4578, 2808, 1026, 2550, 1049, 6949, 79, 5071, 7322, 1068, 9210, 9637, 3028, 4226, 1202, 1893, 14394, 1280, 1009, 4772, 2875, 1252, 3238, 1049, 6949, 79, 5071, 21677, 1467, 6949, 1021, 1095, 1058, 4955, 1072, 5290, 1307, 1049, 8308, 1009, 15393, 1777, 1533, 6949, 1021, 1095, 8798, 1026, 2017, 6949, 79, 54, 1074, 3387, 1142, 4541, 1094, 6808, 17266, 1009, 5034, 1009, 7633, 1305, 12913, 3590, 1095, 21056, 1049, 4168, 1049, 6949, 79, 5071, 21677, 17169, 6949, 79, 5071, 21677, 4351, 21317, 1009, 10337, 1068, 6949, 79, 5071, 89, 15969, 1048, 16129, 1009, 8022, 10010, 8860, 1077, 1044, 2285, 15801, 1009, 4772, 1006, 3056, 3235, 8860, 1077, 2539, 1910, 1107, 4846, 1138, 6949, 79, 5071, 21677, 4279, 2033, 7563, 1930, 8929, 19276, 21921, 3171, 1005, 19351, 1224, 11765, 1118, 2191, 1009, 1094, 8510, 1009, 3142, 4445, 1009, 4966, 20, 1424, 3918, 1009, 11765, 1009, 9607, 2752, 9356, 1026, 6949, 79, 5071, 21677, 5465, 1342, 1006, 4716, 1009, 4318, 6304, 1277, 2455, 4756, 1072, 12277, 3316, 5773, 1009, 12186, 1049, 6949, 79, 5071, 21677, 1096, 21449, 1043, 1752, 6949, 79, 5071, 18, 8913, 1048, 1044, 15558, 14104, 6154, 4772, 1213, 3159, 4441, 4209, 11041, 1049, 6949, 79, 45, 1660, 13967, 1054, 13681, 6949, 79, 5071, 89, 27667, 1213, 6949, 79, 45, 5076, 2328, 1060, 16582, 3634, 10066, 1026, 6949, 79, 8891, 11334, 1059, 3255, 5050, 1009, 9436, 1201, 2001, 1009, 13857, 11504, 1009, 8759, 1009, 3688, 1005, 1493, 1184, 1759, 7876, 1009, 3171, 5046, 4917, 1759, 7876, 1009, 3171, 5232, 1060, 8510, 1060, 16582, 15162, 1212, 1120, 1112, 8403, 1005, 9750, 1305, 4716, 1009, 5875, 6304, 1072, 2386, 8539, 86, 3297, 1027, 2532, 7869, 1060, 4008, 21216, 13832, 1009, 12186, 14274, 2585, 3283, 13949, 1005, 5184, 1383, 4418, 3691, 1009, 7685, 1068, 7304, 1726, 1569, 6106, 9531, 11163, 1009, 7633, 20051, 1940, 1014, 24922, 1009, 5034, 1009, 7633, 1009, 8255, 1305, 12913, 25717, 1305, 29709, 8008, 1691, 1085, 3340, 1005, 25066, 1049, 6949, 79, 5071, 21677, 5640, 6949, 79, 5071, 1826, 5262, 1054, 2539, 5834, 1068, 16257, 4278, 1009, 2490, 8745, 1005, 6299, 1009, 4410, 20, 1063, 5933, 1005, 1026, 3603, 1009, 1224, 3444, 1305, 12913, 1327, 7742, 1043, 1006, 29394, 2741, 71, 57, 6949, 79, 5071, 21677, 1060, 6949, 1021, 1095, 4578, 3524, 8377, 1114, 5342, 1009, 1044, 4772, 18, 21672, 2930, 7495, 7870, 1009, 3195, 4772, 4441, 3328, 1009, 3177, 1049, 6949, 79, 5071, 1327, 8700, 3259, 5046, 1250, 1356, 11467, 1009, 2033, 7563, 1303, 1005, 10337, 1049, 6949, 79, 5071, 2320, 1079, 10214, 1206, 1356, 11929, 1313, 50, 2805, 17797, 1009, 2073, 1168, 1212, 28850, 1009, 3227, 1049, 6949, 79, 45, 1660, 4441, 3328, 1009, 3177, 6949, 79, 5071, 22352, 5241, 3140, 1228, 18758, 3168, 2502, 1005, 1693, 1178, 8700, 3259, 5046, 1250, 1356, 11467, 1009, 10337, 1005, 2033, 7563, 1303, 1049, 6949, 79, 5071, 21677, 1206, 1356, 11929, 1313, 50, 2805, 17797, 1009, 2073, 1168, 1212, 28850 ]

[ 25674, 1272, 1359, 86, 168, 6691, 1096, 1006, 1224, 3233, 2485, 1118, 3018, 1009, 15378, 1049, 18151, 1013, 1048, 3684, 8027, 75, 1005, 2808, 9272, 1005, 10012, 15904, 3720, 4145, 1006, 1299, 1006, 10642, 1068, 5872, 3592, 3469, 1005, 10705, 31324, 1063, 18618, 12921, 1096, 1094, 3616, 1493, 3630, 1005, 1096, 1116, 1252, 1640, 3336, 2013, 1044, 2446, 21315, 1009, 7135, 10934, 3720, 11981, 1007, 1006, 8172, 12921, 1060, 12718, 1005, 5420, 1044, 3319, 1009, 9141, 1184, 3910, 1049, 1235, 15851, 20, 1705, 1889, 4337, 1026, 1048, 1132, 19811, 21323, 20, 3720, 6868, 1026, 1807, 4367, 33, 10643, 10188, 1687, 1325, 5808, 1140, 1213, 2654, 8676, 20, 5344, 1096, 1006, 2751, 3443, 2432, 1060, 1098, 1889, 37, 2013, 1109, 1446, 2289, 2481, 1068, 9210, 6485, 6256, 21059, 12110, 1009, 4458, 2096, 4385, 8913, 1048, 1044, 23595, 22497, 2339, 5819, 8913, 1048, 1006, 12718, 2114, 2049, 1006, 11295, 1060, 18618, 1005, 1058, 1216, 1131, 1068, 1044, 8278, 1009, 10202, 1054, 12447, 20, 5841, 1096, 1006, 1944, 3443, 2432, 24755, 25674, 1272, 12921, 5759, 1006, 8172, 1060, 5033, 1054, 4957, 1005, 2289, 1325, 13535, 1054, 6019, 24424, 1705, 1889, 1325, 13535, 1068, 11981, 1470, 3433, 1068, 1006, 3349, 1009, 2073, 2596, 2481, 2453, 1049, 2380, 1009, 4458, 14365, 1389, 1194, 1054, 9473, 7820, 3424, 3713, 24507, 1665, 1026, 1807, 4367, 1054, 2289, 5816, 37, 3713, 1225, 1044, 2380, 1009, 9081, 17797, 1068, 3684, 3371, 1006, 16321, 1356, 1235, 4957, 25478, 15346, 1098, 1889, 1318, 6966, 2112, 1006, 11295, 1043, 1006, 14367, 16517, 1009, 7320, 1493, 18011, 1705, 1889, 1096, 4553, 1357, 3245, 2489, 20445, 4021, 1377, 3713, 4337, 1571, 1616, 1058, 2259, 1342, 37, 3713, 3711, 16801, 1048, 1616, 3904, 1049, 12147, 37, 2800, 1298, 1044, 6819, 1261, 1094, 5946, 5791, 8140, 1890, 1006, 3696, 37, 2800, 1096, 2481, 1048, 1026, 2823, 9757, 4172, 1058, 30067, 1024, 1009, 2637, 2072, 25589, 1316, 1905, 1060, 3696, 1068, 1026, 1531, 37, 2800, 1026, 11602, 1298, 10596, 1054, 1094, 5405, 8362, 13934, 1068, 7907, 31103, 1112, 3179, 1060, 3696, 1068, 1026, 1531, 37, 1766, 17655, 14400, 1616, 27372, 20, 5126, 1132, 12610, 4900, 9334, 14747, 1412, 1005, 1132, 3108, 1412, 26639, 2682, 20, 20395, 1040, 32, 1160, 1837, 1159, 1616, 10505, 7001, 20, 1972, 5224, 1009, 3230, 1048, 1327, 7820, 2565, 1616, 1225, 1048, 1178, 1044, 1910, 12000, 7, 1972, 1006, 22518, 10968, 14170, 4205, 8342, 1063, 3938, 5816, 1096, 2464, 1009, 10531, 1325, 5174, 8342, 2013, 1026, 1910, 12000, 1060, 1098, 1889, 7, 2013, 1026, 1235, 3266, 12628, 11551, 1299, 31324, 2013, 1044, 2380, 1009, 18919, 9278, 1005, 22280, 28083, 11492, 1098, 1889, 6736, 5090, 1006, 6838, 1006, 11295, 1068, 1026, 1150, 1418, 8, 1359, 86, 168, 1013, 1100, 1026, 4150, 6268, 1577, 1159, 1299, 1026, 6868, 3004, 20124, 14901, 1063, 4033, 1178, 6819, 1049, 4409, 1048, 16857, 1026, 1235, 2269, 4597, 1094, 1834, 1493, 1184, 29306, 4310, 1009, 1058, 8402, 1005, 1495, 1592, 1009, 10596, 3948, 20, 3126, 1992, 1048, 1195, 14453, 1188, 1005, 1616, 1976, 5184, 1006, 1663, 2220, 1026, 5239, 1068, 1299, 25091, 1048, 1299, 4337, 1026, 1048, 1096, 1098, 11824, 4803, 4347, 1322, 1006, 6651, 1060, 1098, 1889, 1072, 16326, 1868, 1183, 1096, 1006, 3894, 9736, 1140, 1159, 3435, 1060, 3513, 1271, 1569, 10034, 1475, 3273, 11331, 1140, 1068, 1006, 3349, 2328, 1049, 1050, 4613, 1054, 1044, 2823, 1057, 1447, 5725, 2270, 2013, 1094, 3894, 1009, 5870, 1098, 19870, 3983, 3782, 1096, 1429, 24814, 2013, 2733, 1005, 1195, 3654, 1054, 1094, 3894, 6962, 1095, 1896, 11454, 1048, 7062, 2307, 1118, 8471, 1009, 4844, 1868, 1183, 1325, 1072, 15851, 1005, 1006, 1098, 1889, 1960, 71, 1616, 7297, 3907, 1009, 19557, 1026, 1235, 1429, 24814, 2013, 3907, 1009, 4347, 1043, 1235, 2823, 1005, 14710, 1043, 1569, 5605, 26321, 14001, 1299, 16791, 7899, 14710, 1043, 1124, 5605, 26321, 3735, 1299, 19921, 1503, 3074, 17847, 1043, 1006, 3894, 1049, 16326, 4714, 6968, 11506, 1026, 2092, 7836, 1429, 24814, 20481, 6316, 8854, 1068, 1044, 2568, 1048, 10271, 1006, 11295, 1049, 1503, 1359, 86, 168, 24553, 1068, 1006, 1098, 10402, 10850, 1616, 2301, 1006, 7898, 11738, 20, 2013, 3907, 1009, 4774, 1645, 1235, 1429, 7104, 6925, 11454, 1533, 7898, 11738, 1058, 29963, 1726, 1569, 7875, 1009, 1094, 2596, 2072, 10603, 1048, 1026, 2823, 1006, 5662, 1159, 4556, 1005, 26112, 1009, 2303, 20, 2013, 1992, 1048, 1026, 1429, 1183, 1096, 21833, 2270, 1063, 1098, 1889, 17863, 1299, 1159, 1026, 10650, 1324, 1159, 3244, 1411, 1005, 1460, 1802, 15297, 1048, 2374, 1006, 6651, 1049, 12628, 1264, 1096, 5560, 1960, 1069, 1356, 4458, 14365, 1389, 19086, 1235, 4458, 14365, 1389, 1194, 20, 3713, 1225, 1006, 4458, 5342, 1068, 10218, 1048, 2237, 4253, 1096, 2733, 1206, 15893, 10634, 1124, 17781, 1116, 1252, 25849, 5645, 2360, 3894, 1160, 3505, 1027, 8863, 1049, 1235, 20056, 13293, 5342, 3901, 1048, 1299, 1096, 27835, 1006, 2071, 1006, 1224, 9473, 23044, 1068, 10239, 1024, 1098, 1889, 1006, 1058, 12866, 1068, 1006, 2360, 26540, 3782, 1976, 1663, 2220, 1026, 5239, 1068, 1299, 1048, 1233, 4375, 1048, 1299, 6224, 1114, 2360, 3894, 1159, 1094, 6925, 21788, 1571, 1026, 1429, 1183, 1160, 1096, 1184, 18785, 1048, 1098, 1889, 1026, 6501, 1461, 10911, 37, 1063, 3484, 12638, 15893, 1705, 1889, 2540, 1118, 4188, 1005, 1224, 5042, 1009, 9473, 1160, 1096, 2964, 1140, 1054, 1235, 15851, 20, 1138, 4458, 14365, 1389, 1194, 1096, 2289, 1533, 1098, 11824, 1118, 1184, 14450, 1048, 4473, 21364, 1159, 1996, 1495, 4305, 1224, 2360, 5601, 7863, 3713, 4597, 1048, 5912, 2510, 1024, 1098, 11824, 2246, 1225, 1044, 3745, 1732, 1009, 3894, 5896, 1377, 3720, 1225, 20842, 1043, 1299, 1060, 2921, 17127, 2271, 1048, 1299, 1195, 26090, 3126, 21563, 1068, 1663, 3469, 1009, 1094, 6672, 2596, 1005, 2364, 1096, 3907, 1009, 5525, 9282, 4490, 9473, 1096, 1006, 5773, 1068, 5525, 9282, 13287, 1195, 1992, 1005, 1927, 2177, 20, 4490, 4458, 5342, 1096, 8443, 1068, 1169, 2099, 2510, 1024, 1026, 1048, 1770, 10939, 1009, 13798, 1009, 8854, 1060, 1098, 10402, 7804, 19557, 1026, 1235, 1429, 1183, 1195, 1006, 1944, 2360, 11597, 15208, 2099, 2510, 75, 1006, 1098, 1889, 1049, 1235, 2823, 2364, 1592, 7, 4378, 5912, 2510, 1112, 2755, 2328, 1060, 1224, 7898, 21355, 29310, 2656, 1096, 4417, 20, 4490, 9473, 18, 2328, 1009, 11738, 7898, 18, 1096, 1006, 5773, 1009, 5042, 28482, 1325, 1026, 3756, 1159, 5325, 32, 3713, 1976, 4347, 1043, 1098, 1889, 1159, 1058, 4219, 1006, 1224, 1853, 6671, 1126, 1159, 1058, 4219, 1044, 4150, 6268, 1577, 17206, 1233, 1224, 23957, 26205, 18, 1299, 2155, 1261, 1094, 7673, 1043, 1006, 1224, 1853, 6671, 1377, 3713, 2276, 6329, 10262, 1124, 3469, 2739, 2624, 37, 1063, 3484, 1096, 15893, 1482, 1472, 2668, 1299, 24155, 1006, 1094, 3593, 12717, 1006, 22955, 1060, 8600, 1068, 6993, 1005, 4966, 20, 5841, 1096, 1006, 22955, 1048, 1299, 1976, 2997, 1006, 1043, 1006, 1098, 10402, 1705, 1889, 1096, 1026, 1235, 2823, 14450, 1005, 1096, 3907, 1009, 1299, 5912, 2510, 1024, 1006, 1224, 18618, 7820, 3424, 3782, 1096, 2246, 1098, 1889, 1160, 5242, 1079, 1989, 25737, 1009, 3894, 1009, 3977, 1043, 14328, 4490, 9473, 5242, 1079, 2122, 2360, 16899, 1309, 1160, 1006, 1224, 5530, 3023, 7604, 23926, 1063, 1494, 1029, 1316, 1582, 1160, 1096, 18110, 17627, 2350, 3469, 1048, 1299, 1976, 4966, 20, 3713, 7596, 7296, 1048, 1098, 1889, 10961, 1009, 2289, 1322, 1569, 10034, 1475, 3273, 1309, 1160, 1299, 37, 2800, 1096, 1616, 3012, 1178, 1044, 2380, 9279, 37, 19372, 1009, 3291, 1184, 37, 1138, 1048, 1096, 1048, 1299, 4857, 1005, 8174, 2433, 3552, 1271, 10034, 1475, 1312, 1048, 3012, 2071, 4202, 3004, 37, 2819, 5990, 1026, 1006, 81, 1016, 1107, 1096, 3330, 2328, 1060, 4458, 5342, 1009, 9473, 1005, 23719, 1043, 1006, 1224, 1098, 10402, 1128, 8993, 26554, 11072, 5879, 2823, 9464, 5649, 4650, 28723, 22872, 2289, 1026, 1048, 1299, 1298, 1663, 1068, 1201, 23277, 1006, 10642, 1359, 86, 168, 6691, 1049, 12147, 6819, 16926, 1044, 2011, 1043, 1006, 1098, 10402, 3713, 1325, 17822, 1069, 1233, 3627, 2485, 27466, 1005, 1734, 10883, 9379, 7498, 1068, 5525, 1124, 3469, 2453, 1009, 14328, 8295, 1026, 1048, 1299, 1225, 1048, 5912, 2510, 1024, 1898, 50, 1024, 2934, 1026, 1235, 1429, 1183, 2324, 10765, 1044, 32, 4774, 2934, 1026, 1235, 1429, 24814, 1138, 1048, 5898, 1006, 11981, 1470, 3433, 1054, 11527, 3085, 1229, 1048, 1096, 1026, 12964, 1489, 1024, 1009, 7601, 19613, 1060, 1224, 11470, 1096, 1006, 3894, 1049, 4995, 1048, 1160, 1096, 8443, 1068, 1026, 20816, 13293, 1371, 24424, 1705, 1889, 10659, 1026, 1048, 1299, 7460, 2652, 1603, 1687, 5662, 1616, 1159, 1094, 10642, 7820, 1672, 2155, 8761, 2459, 3713, 1096, 1026, 12835, 2405, 1060, 1224, 9473, 1068, 5525, 1006, 1098, 1889, 3482, 1079, 1503, 2306, 2129, 1092, 2402, 1026, 7867, 1060, 2348, 7820, 4159, 2324, 10765, 1791, 32, 3212, 1013, 1006, 3443, 1525, 2751, 1060, 1098, 10402, 1138, 1048, 1096, 1048, 1006, 1098, 1889, 1096, 9897, 1068, 1663, 37, 3782, 2307, 2177, 1094, 1271, 4029, 3572, 28011, 11591, 1044, 2380, 3509, 1009, 1057, 1447, 5725, 1112, 1048, 1096, 1026, 2556, 2212, 1072, 5847, 1068, 1026, 12271, 12921, 1072, 3591, 7043, 1505, 3018, 1299, 8983, 1094, 1834, 1311, 2469, 22722, 11465, 3469, 1005, 5103, 19589, 20, 3713, 3497, 1016, 1197, 1005, 2453, 1049, 1235, 1006, 81, 1016, 1107, 1325, 1006, 11510, 1048, 1299, 18958, 1060, 1834, 1475, 3567, 8886, 1834, 3684, 4145, 1184, 11510, 1005, 1299, 1225, 1006, 4458, 5342, 1009, 1274, 8357, 1206, 15893, 3316, 6925, 11454, 18958, 1094, 11510, 1493, 1184, 1116, 1252, 10960, 1049, 1048, 1094, 2360, 6925, 20, 3713, 18, 1159, 1094, 6925, 11454, 18, 7062, 2307, 1118, 1493, 8410, 3713, 1566, 3708, 1335, 2746, 1072, 10202, 37, 5126, 1160, 2643, 16051, 1009, 3192, 7, 8886, 1834, 3964, 1644, 23270, 1094, 6855, 1009, 11510, 20, 3713, 4337, 2306, 1299, 1096, 1175, 1094, 6925, 11454, 20, 9072, 27045, 1328, 1026, 1048, 1098, 1889, 1381, 1043, 1616, 9878, 1048, 1006, 1098, 1889, 13756, 1006, 1663, 1213, 2729, 1009, 5635, 1005, 1026, 1048, 1026, 5485, 2380, 3866, 1034, 1096, 4145, 1006, 1299, 32, 1006, 19238, 1972, 1048, 1299, 1058, 7050, 1324, 1613, 1133, 1006, 11510, 1005, 1801, 2918, 1068, 1094, 9473, 12921, 1184, 15514, 1114, 4958, 5297, 1299, 3135, 1009, 1094, 1834, 9636, 1005, 1949, 8659, 8295, 1299, 1057, 1447, 1024, 1925, 1043, 2122, 11510, 20, 12514, 1184, 22468, 11452, 1132, 25381, 1009, 9265, 1599, 1712, 2177, 1026, 4957, 1068, 1026, 10202, 23595, 1006, 2822, 1009, 1094, 27242, 1184, 3011, 3567, 3782, 1096, 1006, 8172, 7820, 3424, 10590, 12012, 1006, 1419, 1068, 1571, 1616, 1325, 10064, 37, 1705, 11824, 1054, 1224, 7395, 2485, 2155, 3684, 2997, 10034, 20631, 7, 5139, 2380, 7, 2013, 2512, 1048, 1299, 9637, 1026, 5239, 24424, 1482, 1094, 9473, 1184, 21788, 1006, 1057, 1447, 5725, 1112, 1058, 4312, 1026, 5813, 13846, 1060, 12051, 1406, 1006, 27791, 1009, 1050, 11321, 20244, 1516, 1006, 5773, 20, 1063, 1057, 1447, 5725, 1112, 1005, 10034, 6012, 1189, 2370, 8, 6733, 1294, 1261, 3513, 1005, 11510, 20, 1482, 4702, 14466, 1508, 1009, 2922, 1213, 10202, 1068, 1048, 1006, 11510, 4172, 1178, 1274, 3567, 2013, 2512, 8356, 1048, 1006, 3894, 5530, 1160, 29190, 1048, 1006, 11510, 1060, 1834, 3863, 4219, 9124, 1357, 3444, 17609, 1342, 1049, 3591, 7043, 1138, 11974, 1998, 1195, 4949, 2328, 1049, 20455, 1337, 1005, 1043, 15851, 7187, 1657, 1054, 2916, 1009, 18208, 1049, 1235, 4957, 6889, 11600, 1054, 7057, 1299, 3475, 1356, 25737, 3873, 1171, 1188, 1357, 5844, 4607, 1187, 1688, 1021, 15160, 1349, 1005, 1299, 4064, 1006, 1044, 2803, 1114, 9473, 8606, 1661, 1095, 3723, 2309, 5896, 1554, 5024, 15851, 1325, 12012, 1006, 12918, 8607, 9072, 1299, 5090, 1006, 3754, 1006, 1224, 1098, 1889, 1048, 1160, 3135, 4125, 1357, 11522, 1060, 3248, 1068, 14451, 1006, 11510, 1048, 1299, 1225, 20, 6126, 1044, 2017, 2568, 2364, 1005, 1096, 3630, 1009, 2073, 2143, 1048, 1299, 2569, 1072, 16326, 2656, 1998, 1006, 1224, 11510, 3633, 1298, 4125, 1068, 1124, 1340, 2582, 1049, 10202, 8067, 1309, 2289, 1026, 1048, 1299, 13756, 2271, 1026, 2738, 1298, 1178, 15335, 14435, 4490, 11510, 1005, 11404, 1006, 81, 2690, 1221, 7012, 1096, 1681, 7201, 14343, 1054, 1557, 20327, 3713, 1160, 3135, 1057, 1447, 5725, 1024, 1184, 6154, 20, 1482, 1472, 2668, 1299, 1298, 10705, 2307, 2097, 1235, 15851, 5090, 1006, 5319, 1224, 9141, 20, 3735, 4537, 1006, 8060, 8401, 1026, 2568, 8285, 3698, 1667, 3713, 2276, 5115, 150, 3659, 1493, 1557, 1054, 1592, 2823, 15420, 1221, 7, 1705, 1889, 1160, 4337, 24424, 1505, 8471, 1009, 2864, 1299, 1225, 30510, 1188, 1072, 2380, 1009, 4758, 12921, 1049, 10202, 3027, 10034, 11296, 1728, 1705, 1889, 3135, 3987 ]

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

[ 25674, 1272, 1359, 86, 168, 6691, 1096, 1006, 1224, 3233, 2485, 1118, 3018, 1009, 15378, 1049, 18151, 1013, 1048, 3684, 8027, 75, 1005, 2808, 9272, 1005, 10012, 15904, 3720, 4145, 1006, 1299, 1006, 10642, 1068, 5872, 3592, 3469, 1005, 10705, 31324, 1063, 18618, 12921, 1096, 1094, 3616, 1493, 3630, 1005, 1096, 1116, 1252, 1640, 3336, 2013, 1044, 2446, 21315, 1009, 7135, 10934, 3720, 11981, 1007, 1006, 8172, 12921, 1060, 12718, 1005, 5420, 1044, 3319, 1009, 9141, 1184, 3910, 1049, 1235, 15851, 20, 1705, 1889, 4337, 1026, 1048, 1132, 19811, 21323, 20, 3720, 6868, 1026, 1807, 4367, 33, 10643, 10188, 1687, 1325, 5808, 1140, 1213, 2654, 8676, 20, 5344, 1096, 1006, 2751, 3443, 2432, 1060, 1098, 1889, 37, 2013, 1109, 1446, 2289, 2481, 1068, 9210, 6485, 6256, 21059, 12110, 1009, 4458, 2096, 4385, 8913, 1048, 1044, 23595, 22497, 2339, 5819, 8913, 1048, 1006, 12718, 2114, 2049, 1006, 11295, 1060, 18618, 1005, 1058, 1216, 1131, 1068, 1044, 8278, 1009, 10202, 1054, 12447, 20, 5841, 1096, 1006, 1944, 3443, 2432, 24755, 25674, 1272, 12921, 5759, 1006, 8172, 1060, 5033, 1054, 4957, 1005, 2289, 1325, 13535, 1054, 6019, 24424, 1705, 1889, 1325, 13535, 1068, 11981, 1470, 3433, 1068, 1006, 3349, 1009, 2073, 2596, 2481, 2453, 1049, 2380, 1009, 4458, 14365, 1389, 1194, 1054, 9473, 7820, 3424, 3713, 24507, 1665, 1026, 1807, 4367, 1054, 2289, 5816, 37, 3713, 1225, 1044, 2380, 1009, 9081, 17797, 1068, 3684, 3371, 1006, 16321, 1356, 1235, 4957, 25478, 15346, 1098, 1889, 1318, 6966, 2112, 1006, 11295, 1043, 1006, 14367, 16517, 1009, 7320, 1493, 18011, 1705, 1889, 1096, 4553, 1357, 3245, 2489, 20445, 4021, 1377, 3713, 4337, 1571, 1616, 1058, 2259, 1342, 37, 3713, 3711, 16801, 1048, 1616, 3904, 1049, 12147, 37, 2800, 1298, 1044, 6819, 1261, 1094, 5946, 5791, 8140, 1890, 1006, 3696, 37, 2800, 1096, 2481, 1048, 1026, 2823, 9757, 4172, 1058, 30067, 1024, 1009, 2637, 2072, 25589, 1316, 1905, 1060, 3696, 1068, 1026, 1531, 37, 2800, 1026, 11602, 1298, 10596, 1054, 1094, 5405, 8362, 13934, 1068, 7907, 31103, 1112, 3179, 1060, 3696, 1068, 1026, 1531, 37, 1766, 17655, 14400, 1616, 27372, 20, 5126, 1132, 12610, 4900, 9334, 14747, 1412, 1005, 1132, 3108, 1412, 26639, 2682, 20, 20395, 1040, 32, 1160, 1837, 1159, 1616, 10505, 7001, 20, 1972, 5224, 1009, 3230, 1048, 1327, 7820, 2565, 1616, 1225, 1048, 1178, 1044, 1910, 12000, 7, 1972, 1006, 22518, 10968, 14170, 4205, 8342, 1063, 3938, 5816, 1096, 2464, 1009, 10531, 1325, 5174, 8342, 2013, 1026, 1910, 12000, 1060, 1098, 1889, 7, 2013, 1026, 1235, 3266, 12628, 11551, 1299, 31324, 2013, 1044, 2380, 1009, 18919, 9278, 1005, 22280, 28083, 11492, 1098, 1889, 6736, 5090, 1006, 6838, 1006, 11295, 1068, 1026, 1150, 1418, 8, 1359, 86, 168, 1013, 1100, 1026, 4150, 6268, 1577, 1159, 1299, 1026, 6868, 3004, 20124, 14901, 1063, 4033, 1178, 6819, 1049, 4409, 1048, 16857, 1026, 1235, 2269, 4597, 1094, 1834, 1493, 1184, 29306, 4310, 1009, 1058, 8402, 1005, 1495, 1592, 1009, 10596, 3948, 20, 3126, 1992, 1048, 1195, 14453, 1188, 1005, 1616, 1976, 5184, 1006, 1663, 2220, 1026, 5239, 1068, 1299, 25091, 1048, 1299, 4337, 1026, 1048, 1096, 1098, 11824, 4803, 4347, 1322, 1006, 6651, 1060, 1098, 1889, 1072, 16326, 1868, 1183, 1096, 1006, 3894, 9736, 1140, 1159, 3435, 1060, 3513, 1271, 1569, 10034, 1475, 3273, 11331, 1140, 1068, 1006, 3349, 2328, 1049, 1050, 4613, 1054, 1044, 2823, 1057, 1447, 5725, 2270, 2013, 1094, 3894, 1009, 5870, 1098, 19870, 3983, 3782, 1096, 1429, 24814, 2013, 2733, 1005, 1195, 3654, 1054, 1094, 3894, 6962, 1095, 1896, 11454, 1048, 7062, 2307, 1118, 8471, 1009, 4844, 1868, 1183, 1325, 1072, 15851, 1005, 1006, 1098, 1889, 1960, 71, 1616, 7297, 3907, 1009, 19557, 1026, 1235, 1429, 24814, 2013, 3907, 1009, 4347, 1043, 1235, 2823, 1005, 14710, 1043, 1569, 5605, 26321, 14001, 1299, 16791, 7899, 14710, 1043, 1124, 5605, 26321, 3735, 1299, 19921, 1503, 3074, 17847, 1043, 1006, 3894, 1049, 16326, 4714, 6968, 11506, 1026, 2092, 7836, 1429, 24814, 20481, 6316, 8854, 1068, 1044, 2568, 1048, 10271, 1006, 11295, 1049, 1503, 1359, 86, 168, 24553, 1068, 1006, 1098, 10402, 10850, 1616, 2301, 1006, 7898, 11738, 20, 2013, 3907, 1009, 4774, 1645, 1235, 1429, 7104, 6925, 11454, 1533, 7898, 11738, 1058, 29963, 1726, 1569, 7875, 1009, 1094, 2596, 2072, 10603, 1048, 1026, 2823, 1006, 5662, 1159, 4556, 1005, 26112, 1009, 2303, 20, 2013, 1992, 1048, 1026, 1429, 1183, 1096, 21833, 2270, 1063, 1098, 1889, 17863, 1299, 1159, 1026, 10650, 1324, 1159, 3244, 1411, 1005, 1460, 1802, 15297, 1048, 2374, 1006, 6651, 1049, 12628, 1264, 1096, 5560, 1960, 1069, 1356, 4458, 14365, 1389, 19086, 1235, 4458, 14365, 1389, 1194, 20, 3713, 1225, 1006, 4458, 5342, 1068, 10218, 1048, 2237, 4253, 1096, 2733, 1206, 15893, 10634, 1124, 17781, 1116, 1252, 25849, 5645, 2360, 3894, 1160, 3505, 1027, 8863, 1049, 1235, 20056, 13293, 5342, 3901, 1048, 1299, 1096, 27835, 1006, 2071, 1006, 1224, 9473, 23044, 1068, 10239, 1024, 1098, 1889, 1006, 1058, 12866, 1068, 1006, 2360, 26540, 3782, 1976, 1663, 2220, 1026, 5239, 1068, 1299, 1048, 1233, 4375, 1048, 1299, 6224, 1114, 2360, 3894, 1159, 1094, 6925, 21788, 1571, 1026, 1429, 1183, 1160, 1096, 1184, 18785, 1048, 1098, 1889, 1026, 6501, 1461, 10911, 37, 1063, 3484, 12638, 15893, 1705, 1889, 2540, 1118, 4188, 1005, 1224, 5042, 1009, 9473, 1160, 1096, 2964, 1140, 1054, 1235, 15851, 20, 1138, 4458, 14365, 1389, 1194, 1096, 2289, 1533, 1098, 11824, 1118, 1184, 14450, 1048, 4473, 21364, 1159, 1996, 1495, 4305, 1224, 2360, 5601, 7863, 3713, 4597, 1048, 5912, 2510, 1024, 1098, 11824, 2246, 1225, 1044, 3745, 1732, 1009, 3894, 5896, 1377, 3720, 1225, 20842, 1043, 1299, 1060, 2921, 17127, 2271, 1048, 1299, 1195, 26090, 3126, 21563, 1068, 1663, 3469, 1009, 1094, 6672, 2596, 1005, 2364, 1096, 3907, 1009, 5525, 9282, 4490, 9473, 1096, 1006, 5773, 1068, 5525, 9282, 13287, 1195, 1992, 1005, 1927, 2177, 20, 4490, 4458, 5342, 1096, 8443, 1068, 1169, 2099, 2510, 1024, 1026, 1048, 1770, 10939, 1009, 13798, 1009, 8854, 1060, 1098, 10402, 7804, 19557, 1026, 1235, 1429, 1183, 1195, 1006, 1944, 2360, 11597, 15208, 2099, 2510, 75, 1006, 1098, 1889, 1049, 1235, 2823, 2364, 1592, 7, 4378, 5912, 2510, 1112, 2755, 2328, 1060, 1224, 7898, 21355, 29310, 2656, 1096, 4417, 20, 4490, 9473, 18, 2328, 1009, 11738, 7898, 18, 1096, 1006, 5773, 1009, 5042, 28482, 1325, 1026, 3756, 1159, 5325, 32, 3713, 1976, 4347, 1043, 1098, 1889, 1159, 1058, 4219, 1006, 1224, 1853, 6671, 1126, 1159, 1058, 4219, 1044, 4150, 6268, 1577, 17206, 1233, 1224, 23957, 26205, 18, 1299, 2155, 1261, 1094, 7673, 1043, 1006, 1224, 1853, 6671, 1377, 3713, 2276, 6329, 10262, 1124, 3469, 2739, 2624, 37, 1063, 3484, 1096, 15893, 1482, 1472, 2668, 1299, 24155, 1006, 1094, 3593, 12717, 1006, 22955, 1060, 8600, 1068, 6993, 1005, 4966, 20, 5841, 1096, 1006, 22955, 1048, 1299, 1976, 2997, 1006, 1043, 1006, 1098, 10402, 1705, 1889, 1096, 1026, 1235, 2823, 14450, 1005, 1096, 3907, 1009, 1299, 5912, 2510, 1024, 1006, 1224, 18618, 7820, 3424, 3782, 1096, 2246, 1098, 1889, 1160, 5242, 1079, 1989, 25737, 1009, 3894, 1009, 3977, 1043, 14328, 4490, 9473, 5242, 1079, 2122, 2360, 16899, 1309, 1160, 1006, 1224, 5530, 3023, 7604, 23926, 1063, 1494, 1029, 1316, 1582, 1160, 1096, 18110, 17627, 2350, 3469, 1048, 1299, 1976, 4966, 20, 3713, 7596, 7296, 1048, 1098, 1889, 10961, 1009, 2289, 1322, 1569, 10034, 1475, 3273, 1309, 1160, 1299, 37, 2800, 1096, 1616, 3012, 1178, 1044, 2380, 9279, 37, 19372, 1009, 3291, 1184, 37, 1138, 1048, 1096, 1048, 1299, 4857, 1005, 8174, 2433, 3552, 1271, 10034, 1475, 1312, 1048, 3012, 2071, 4202, 3004, 37, 2819, 5990, 1026, 1006, 81, 1016, 1107, 1096, 3330, 2328, 1060, 4458, 5342, 1009, 9473, 1005, 23719, 1043, 1006, 1224, 1098, 10402, 1128, 8993, 26554, 11072, 5879, 2823, 9464, 5649, 4650, 28723, 22872, 2289, 1026, 1048, 1299, 1298, 1663, 1068, 1201, 23277, 1006, 10642, 1359, 86, 168, 6691, 1049, 12147, 6819, 16926, 1044, 2011, 1043, 1006, 1098, 10402, 3713, 1325, 17822, 1069, 1233, 3627, 2485, 27466, 1005, 1734, 10883, 9379, 7498, 1068, 5525, 1124, 3469, 2453, 1009, 14328, 8295, 1026, 1048, 1299, 1225, 1048, 5912, 2510, 1024, 1898, 50, 1024, 2934, 1026, 1235, 1429, 1183, 2324, 10765, 1044, 32, 4774, 2934, 1026, 1235, 1429, 24814, 1138, 1048, 5898, 1006, 11981, 1470, 3433, 1054, 11527, 3085, 1229, 1048, 1096, 1026, 12964, 1489, 1024, 1009, 7601, 19613, 1060, 1224, 11470, 1096, 1006, 3894, 1049, 4995, 1048, 1160, 1096, 8443, 1068, 1026, 20816, 13293, 1371, 24424, 1705, 1889, 10659, 1026, 1048, 1299, 7460, 2652, 1603, 1687, 5662, 1616, 1159, 1094, 10642, 7820, 1672, 2155, 8761, 2459, 3713, 1096, 1026, 12835, 2405, 1060, 1224, 9473, 1068, 5525, 1006, 1098, 1889, 3482, 1079, 1503, 2306, 2129, 1092, 2402, 1026, 7867, 1060, 2348, 7820, 4159, 2324, 10765, 1791, 32, 3212, 1013, 1006, 3443, 1525, 2751, 1060, 1098, 10402, 1138, 1048, 1096, 1048, 1006, 1098, 1889, 1096, 9897, 1068, 1663, 37, 3782, 2307, 2177, 1094, 1271, 4029, 3572, 28011, 11591, 1044, 2380, 3509, 1009, 1057, 1447, 5725, 1112, 1048, 1096, 1026, 2556, 2212, 1072, 5847, 1068, 1026, 12271, 12921, 1072, 3591, 7043, 1505, 3018, 1299, 8983, 1094, 1834, 1311, 2469, 22722, 11465, 3469, 1005, 5103, 19589, 20, 3713, 3497, 1016, 1197, 1005, 2453, 1049, 1235, 1006, 81, 1016, 1107, 1325, 1006, 11510, 1048, 1299, 18958, 1060, 1834, 1475, 3567, 8886, 1834, 3684, 4145, 1184, 11510, 1005, 1299, 1225, 1006, 4458, 5342, 1009, 1274, 8357, 1206, 15893, 3316, 6925, 11454, 18958, 1094, 11510, 1493, 1184, 1116, 1252, 10960, 1049, 1048, 1094, 2360, 6925, 20, 3713, 18, 1159, 1094, 6925, 11454, 18, 7062, 2307, 1118, 1493, 8410, 3713, 1566, 3708, 1335, 2746, 1072, 10202, 37, 5126, 1160, 2643, 16051, 1009, 3192, 7, 8886, 1834, 3964, 1644, 23270, 1094, 6855, 1009, 11510, 20, 3713, 4337, 2306, 1299, 1096, 1175, 1094, 6925, 11454, 20, 9072, 27045, 1328, 1026, 1048, 1098, 1889, 1381, 1043, 1616, 9878, 1048, 1006, 1098, 1889, 13756, 1006, 1663, 1213, 2729, 1009, 5635, 1005, 1026, 1048, 1026, 5485, 2380, 3866, 1034, 1096, 4145, 1006, 1299, 32, 1006, 19238, 1972, 1048, 1299, 1058, 7050, 1324, 1613, 1133, 1006, 11510, 1005, 1801, 2918, 1068, 1094, 9473, 12921, 1184, 15514, 1114, 4958, 5297, 1299, 3135, 1009, 1094, 1834, 9636, 1005, 1949, 8659, 8295, 1299, 1057, 1447, 1024, 1925, 1043, 2122, 11510, 20, 12514, 1184, 22468, 11452, 1132, 25381, 1009, 9265, 1599, 1712, 2177, 1026, 4957, 1068, 1026, 10202, 23595, 1006, 2822, 1009, 1094, 27242, 1184, 3011, 3567, 3782, 1096, 1006, 8172, 7820, 3424, 10590, 12012, 1006, 1419, 1068, 1571, 1616, 1325, 10064, 37, 1705, 11824, 1054, 1224, 7395, 2485, 2155, 3684, 2997, 10034, 20631, 7, 5139, 2380, 7, 2013, 2512, 1048, 1299, 9637, 1026, 5239, 24424, 1482, 1094, 9473, 1184, 21788, 1006, 1057, 1447, 5725, 1112, 1058, 4312, 1026, 5813, 13846, 1060, 12051, 1406, 1006, 27791, 1009, 1050, 11321, 20244, 1516, 1006, 5773, 20, 1063, 1057, 1447, 5725, 1112, 1005, 10034, 6012, 1189, 2370, 8, 6733, 1294, 1261, 3513, 1005, 11510, 20, 1482, 4702, 14466, 1508, 1009, 2922, 1213, 10202, 1068, 1048, 1006, 11510, 4172, 1178, 1274, 3567, 2013, 2512, 8356, 1048, 1006, 3894, 5530, 1160, 29190, 1048, 1006, 11510, 1060, 1834, 3863, 4219, 9124, 1357, 3444, 17609, 1342, 1049, 3591, 7043, 1138, 11974, 1998, 1195, 4949, 2328, 1049, 20455, 1337, 1005, 1043, 15851, 7187, 1657, 1054, 2916, 1009, 18208, 1049, 1235, 4957, 6889, 11600, 1054, 7057, 1299, 3475, 1356, 25737, 3873, 1171, 1188, 1357, 5844, 4607, 1187, 1688, 1021, 15160, 1349, 1005, 1299, 4064, 1006, 1044, 2803, 1114, 9473, 8606, 1661, 1095, 3723, 2309, 5896, 1554, 5024, 15851, 1325, 12012, 1006, 12918, 8607, 9072, 1299, 5090, 1006, 3754, 1006, 1224, 1098, 1889, 1048, 1160, 3135, 4125, 1357, 11522, 1060, 3248, 1068, 14451, 1006, 11510, 1048, 1299, 1225, 20, 6126, 1044, 2017, 2568, 2364, 1005, 1096, 3630, 1009, 2073, 2143, 1048, 1299, 2569, 1072, 16326, 2656, 1998, 1006, 1224, 11510, 3633, 1298, 4125, 1068, 1124, 1340, 2582, 1049, 10202, 8067, 1309, 2289, 1026, 1048, 1299, 13756, 2271, 1026, 2738, 1298, 1178, 15335, 14435, 4490, 11510, 1005, 11404, 1006, 81, 2690, 1221, 7012, 1096, 1681, 7201, 14343, 1054, 1557, 20327, 3713, 1160, 3135, 1057, 1447, 5725, 1024, 1184, 6154, 20, 1482, 1472, 2668, 1299, 1298, 10705, 2307, 2097, 1235, 15851, 5090, 1006, 5319, 1224, 9141, 20, 3735, 4537, 1006, 8060, 8401, 1026, 2568, 8285, 3698, 1667, 3713, 2276, 5115, 150, 3659, 1493, 1557, 1054, 1592, 2823, 15420, 1221, 7, 1705, 1889, 1160, 4337, 24424, 1505, 8471, 1009, 2864, 1299, 1225, 30510, 1188, 1072, 2380, 1009, 4758, 12921, 1049, 10202, 3027, 10034, 11296, 1728, 1705, 1889, 3135, 3987 ]

[ 1096, 2481, 15757, 18949, 1006, 1057, 1040, 2489, 1049, 1494, 1316, 85, 1833, 92, 1459, 2997, 1086, 1017, 1443, 1016, 1679, 6044, 1049, 7369, 1533, 2444, 1048, 9545, 14075, 24462, 1026, 7333, 1009, 3596, 7369, 1024, 1976, 1178, 1890, 1006, 1751, 1060, 5096, 20, 1, 7877, 2545, 135, 50, 3726, 1711, 1138, 2670, 14900, 9581, 8413, 18, 1054, 28743, 4376, 1054, 3444, 3267, 1009, 4132, 1005, 7661, 11662, 1114, 3696, 2429, 15628, 1006, 15617, 17572, 1049, 6545, 1005, 1060, 6296, 1005, 1026, 2822, 1049, 2373, 1469, 4402, 1303, 1054, 6823, 8226, 2034, 5567, 2643, 2281, 13592, 1072, 6942, 1213, 2017, 12523, 20, 3204, 1195, 1026, 5064, 28743, 4376, 1322, 1026, 5054, 4949, 1054, 1044, 3041, 1009, 2444, 1009, 1158, 2250, 21244, 11693, 10486, 7129, 11027, 1005, 14380, 3634, 19557, 1026, 6502, 1009, 3548, 26251, 2166, 1006, 19768, 1009, 9736, 1400, 1026, 13550, 1009, 6545, 1005, 1026, 1651, 20535, 1054, 4506, 1377, 1138, 1048, 1058, 5103, 1072, 1784, 1225, 12999, 1048, 1026, 2417, 1009, 4461, 1096, 1026, 1271, 1783, 4109, 1009, 5251, 4844, 7804, 1118, 1048, 11853, 6296, 37, 1711, 7468, 1079, 9581, 1704, 2670, 4979, 1048, 1026, 12523, 2373, 6148, 92, 2160, 24864, 626, 1005, 4979, 1048, 1006, 1834, 2373, 27944, 1048, 5711, 626, 1898, 621, 1138, 9851, 4064, 20, 10590, 1847, 3729, 1069, 1118, 3230, 1005, 23264, 24864, 20, 7290, 1834, 1225, 1048, 2199, 3144, 1766, 13002, 3634, 1178, 2384, 7425, 1138, 4873, 1147, 1271, 6428, 1976, 1178, 6508, 2270, 6629, 25984, 10094, 6423, 1233, 3339, 4159, 4908, 1831, 28743, 4376, 1322, 1026, 23505, 4949, 1072, 1531, 1675, 1009, 12360, 9581, 4979, 1048, 1160, 2284, 7065, 1068, 2373, 86, 7303, 626, 1005, 1048, 1026, 2803, 1516, 1009, 11221, 1533, 2750, 5879, 1322, 1026, 5054, 1195, 5191, 1114, 3757, 7715, 1072, 1531, 2224, 1009, 3261, 20, 1138, 2670, 4295, 15632, 1026, 1403, 6091, 1009, 14766, 1048, 3586, 2768, 1312, 1068, 1026, 8184, 7715, 3121, 1233, 21327, 1068, 4379, 18250, 1153, 17460, 1138, 3266, 27965, 16708, 5404, 19426, 1187, 12230, 1554, 1, 2654, 7482, 1009, 11542, 1009, 2289, 1044, 21854, 2572, 1058, 27983, 8312, 37, 6156, 1148, 1371, 2364, 1592, 7, 24427, 1072, 3164, 13147, 1187, 3948, 1068, 13365, 1026, 13512, 1048, 1184, 18670, 1043, 1299, 1005, 1449, 1295, 2364, 1235, 5317, 26556, 1009, 6812, 1305, 9797, 20, 1205, 2178, 1299, 1318, 4524, 1751, 1060, 4668, 1184, 11637, 1342, 1049, 3878, 1043, 8471, 1009, 4031, 1005, 3680, 1233, 2900, 1009, 13161, 1048, 3533, 1202, 6812, 1005, 15079, 2115, 27819, 7, 25421, 21148, 1371, 1068, 14710, 4889, 1043, 1094, 11788, 30968, 25406, 1005, 7522, 5074, 1009, 6812, 1005, 2627, 1699, 1094, 1624, 71, 3004, 1592, 7, 4247, 13946, 1072, 25902, 1005, 1323, 18570, 1026, 1048, 1299, 7206, 4524, 12049, 20, 2654, 1026, 1131, 1047, 1006, 3118, 1252, 7300, 7, 22383, 1013, 14951, 1072, 11467, 1005, 17656, 1323, 9760, 11282, 1323, 13946, 1072, 1413, 14377, 1503, 3711, 4647, 1261, 1044, 7842, 19, 14113, 1493, 11397, 1526, 7, 2430, 17461, 1044, 2792, 25332, 1316, 1188, 1005, 1624, 6292, 1343, 1048, 1323, 7181, 27386, 1024, 1493, 1114, 1457, 1126, 18137, 1250, 15079, 18844, 1384, 3622, 1005, 1305, 9797, 3021, 20602, 22167, 1020, 15595, 1043, 1249, 3461, 1206, 20294, 1798, 85, 2289, 3008, 1105, 1007, 1134, 1252, 1554, 1424, 9661, 1554, 7852, 8444, 1134, 1252, 1554, 5290, 4594, 1271, 5057, 5709, 1170, 14615, 3622, 20, 13985, 2367, 8635, 8071, 1209, 14615, 3622, 2904, 1016, 1069, 2900, 1094, 9304, 1175, 1764, 8094, 9623, 7572, 1365, 3365, 1400, 1068, 21641, 1054, 2073, 1044, 5473, 14629, 1229, 1096, 7296, 24536, 1356, 2444, 1044, 3660, 16597, 2247, 3752, 2391, 1009, 29322, 1482, 2089, 9783, 20620, 1009, 13182, 1044, 6778, 1027, 1118, 1472, 1592, 7909, 1213, 7711, 1060, 1448, 3567, 15210, 1043, 1712, 3311, 1009, 11305, 1149, 5087, 1040, 1124, 8238, 1009, 11763, 1149, 2643, 2444, 6835, 1627, 1384, 7651, 1043, 22263, 10711, 4720, 3273, 6515, 1712, 12106, 1009, 6313, 1005, 1693, 1801, 6716, 1026, 4188, 1060, 28215, 1623, 2950, 1072, 16748, 1060, 16858, 1009, 18692, 13036, 3567, 2605, 1006, 4960, 2751, 3904, 1233, 1030, 2801, 32, 1428, 1026, 3129, 1060, 3897, 1114, 4263, 24398, 1482, 2089, 9783, 1006, 3897, 1049, 3009, 20992, 4454, 1009, 1178, 1023, 27570, 1068, 1801, 6716, 1044, 1536, 6719, 30903, 1114, 15505, 1043, 3606, 5551, 2233, 1400, 11277, 1005, 2798, 8391, 5129, 6485, 4005, 13977, 1006, 1235, 5239, 3866, 6633, 20203, 2923, 1009, 18486, 3552, 7511, 1149, 29266, 1519, 1060, 3897, 5615, 1060, 2635, 1154, 22181, 1294, 10711, 2625, 8618, 1478, 1060, 6313, 9226, 7511, 1149, 2237, 13456, 1005, 4359, 1236, 2739, 2624, 3266, 1118, 2350, 23040, 2387, 10933, 1175, 1561, 5411, 20, 16386, 4883, 26145, 3546, 1005, 1734, 3195, 1043, 5822, 1667, 18664, 1026, 3882, 1301, 28133, 30155, 20, 1, 18724, 1009, 11899, 14623, 1009, 4656, 7278, 3555, 1058, 1518, 29892, 20572, 1068, 5641, 1054, 1953, 96, 84, 33, 25528, 1009, 8344, 12964, 1896, 1054, 18, 18724, 4410, 18312, 1348, 1009, 11899, 1054, 1344, 1153, 1226, 3555, 21672, 4634, 4734, 14623, 1009, 1086, 27, 1054, 9163, 1088, 4189, 1175, 1968, 1093, 2048, 6269, 1568, 8923, 1042, 4870, 1940, 2713, 52, 4055, 5237, 26430, 2818, 5394, 27264, 2164, 6793, 7680, 45, 4562, 39, 1797, 9170, 2320, 17952, 8602, 11136, 22580, 41, 1175, 23873, 1112, 1009, 4389, 79, 8554, 1225, 1837, 5641, 1132, 4496, 1098, 1396, 13317, 9252, 1034, 11564, 1324, 5033, 20180, 18, 5033, 30041, 12443, 3438, 2255, 9871, 1126, 9044, 1665, 3022, 21614, 1627, 14245, 1027, 1683, 13871, 1283, 1128, 2703, 1175, 675, 0, 3341, 46, 27848, 1009, 3649, 1054, 11227, 7516, 3996, 13016, 1005, 12662, 1161, 1175, 13016, 1009, 5850, 1009, 2778, 25560, 11073, 1114, 15629, 3682, 20, 3381, 29930, 13359, 1487, 5562, 31, 1071, 4104, 13783, 1006, 18379, 1896, 15, 1054, 11227, 7516, 1123, 6822, 21621, 1132, 3145, 5850, 1009, 3649, 1068, 1224, 3733, 32, 9252, 1411, 20101, 9871, 2166, 8713, 76, 2746, 1009, 10992, 1229, 1073, 4468, 1128, 1653, 7117, 21119, 1010, 1009, 15940, 1940, 1320, 1087, 3857, 1009, 20101, 1106, 6226, 1605, 18458, 1009, 8344, 1080, 6226, 27998, 9252, 1034, 1005, 20101, 4351, 5850, 8183, 15679, 2585, 2328, 1009, 4085, 19302, 1005, 1048, 9577, 1043, 1006, 13496, 1009, 28380, 1060, 1853, 2596, 2481, 1006, 1429, 1272, 1009, 1664, 1132, 19139, 18664, 1184, 1322, 1132, 1734, 3195, 1048, 1693, 3684, 3194, 1024, 2856, 20101, 1106, 6226, 1068, 1338, 2491, 1303, 6731, 2099, 5765, 1009, 25528, 1043, 16358, 7280, 89, 5168, 5765, 10404, 1043, 25528, 1009, 20045, 1068, 1006, 6937, 1009, 14994, 3666, 7303, 1054, 6296, 21908, 1094, 2451, 5092, 1048, 6471, 1043, 1006, 2935, 1009, 9762, 1068, 1006, 27791, 1009, 19752, 30791, 1009, 7948, 2051, 1005, 15374, 1154, 2650, 1009, 20045, 1068, 2490, 17848, 1005, 19753, 3072, 1363, 4410, 1059, 1263, 1810, 1009, 1543, 95, 9725, 19928, 11933, 2446, 1009, 18790, 1096, 3778, 3587, 1054, 22882, 1006, 19091, 1005, 1006, 30767, 1675, 16807, 1844, 11587, 30, 1487, 21352, 1119, 1586, 1177, 1779, 15892, 27, 1782, 25714, 1101, 12540, 28, 1782, 22928, 15688, 1104, 1497, 2475, 14337, 24, 1307, 26115, 1487, 13932, 31, 2124, 1543, 95, 9725, 2446, 1009, 18790, 1005, 1009, 2197, 1026, 1175, 8873, 1092, 5792, 2124, 13567, 1116, 1049, 18790, 1543, 95, 9725, 1175, 9290, 90, 2356, 8647, 19, 4736, 1330, 2124, 1543, 95, 9725, 18790, 1068, 11283, 19928, 20, 1138, 3489, 1049, 18790, 31242, 1096, 1068, 3073, 1014, 6731, 19838, 52, 4055, 5237, 2713, 2818, 1063, 3776, 3726, 1084, 7877, 24679, 6793, 12239, 3924, 9128, 7146, 3776, 1467, 3028, 2451, 7717, 1569, 3638, 1054, 6796, 1511, 1026, 10133, 1067, 88, 1207, 1669, 1136, 7214, 1328, 2845, 1006, 4524, 1009, 2596, 8636, 1005, 5232, 1068, 7304, 1124, 6106, 1049, 3472, 15407, 1159, 18458, 1005, 1114, 5641, 1009, 6239, 1411, 18312, 1126, 4126, 72, 2586, 8344, 30364, 3548, 28121, 4534, 2124, 11697, 4142, 1157, 1927, 1006, 3450, 1187, 3195, 20899, 1005, 1006, 24855, 1114, 9656, 1126, 2340, 9731, 1800, 13978, 3486, 1005, 1026, 6731, 11478, 1192, 2147, 1009, 15374, 8673, 2311, 3789, 10243, 95, 8753, 1252, 79, 17783, 25560, 1009, 2553, 1034, 9736, 3013, 1009, 6239, 2275, 2553, 1034, 9736, 3013, 1009, 11899, 1009, 2197, 1026, 18, 1009, 15374, 1154, 2650, 1009, 8344, 1054, 7428, 1088, 4189, 2553, 1034, 9736, 15040, 3649, 2532, 1339, 2166, 4445, 1009, 6389, 1005, 8938, 19825, 31310, 1295, 6163, 31697, 1078, 7204, 15374, 1154, 2650, 1233, 5641, 1015, 1197, 1212, 1021, 15374, 1154, 2650, 6163, 2597, 22219, 9761, 5462, 1067, 5356, 3073, 1608, 15374, 1154, 2650, 1009, 29608, 18, 1009, 7204, 15374, 1154, 2650, 24426, 1009, 6102, 675, 1533, 2838, 2189, 1049, 30234, 1009, 9684, 1106, 6226, 1940, 1320, 5740, 2650, 1054, 3584, 9898, 32, 13807, 3776, 51, 6077, 6860, 132, 56, 6125, 53, 2818, 13807, 3776, 45, 15104, 25102, 7826, 8722, 6268, 1212, 18, 4652, 9481, 20379, 2534, 2915, 1164, 10519, 27608, 1937, 91, 1175, 11779, 12173, 14873, 32, 1071, 5871, 15, 9460, 3851, 14976, 3949, 25206, 12202, 64, 64, 47, 6860, 2393, 6125, 53, 2818, 1063, 3776, 3726, 7334, 12534, 4644, 1009, 2976, 1126, 29093, 2041, 17401, 1009, 2976, 1126, 1180, 1052, 28793, 1049, 2709, 12173, 14873, 32, 8448, 5871, 15, 1307, 3851, 25, 3541, 3612, 24, 6860, 132, 56, 6125, 53, 2818, 1063, 3776, 3726, 1084, 7877, 24679, 21141, 51, 126, 2428, 1207, 2805, 4212, 2805, 52, 7334, 15934, 1107, 6926, 1259, 1324, 1015, 21, 7076, 14007, 1049, 2293, 17612, 2925, 1106, 9185, 1479, 13011, 6186, 20101, 2555, 12801, 1009, 1106, 6226, 1118, 12982, 1075, 18389, 20, 21614, 1027, 13011, 8448, 21, 9238, 15, 1106, 6226, 1083, 10357, 14243, 2084, 6877, 1106, 6226, 1101, 2149, 20212, 2708, 15, 1106, 6226, 1307, 6323, 17762, 2023, 6877, 23889, 1009, 20101, 8448, 21, 6456, 1063, 1212, 3401, 20, 2462, 1184, 2098, 16210, 6183, 1410, 21214, 1940, 1320, 5740, 2650, 1054, 3584, 6790, 5949, 13807, 3776, 51, 6077, 6860, 132, 56, 6125, 53, 2818, 13807, 3776, 45, 15104, 25102, 7826, 32, 8722, 6268, 1212, 18, 4652, 9481, 20379, 2534, 2915, 1164, 10519, 27608, 1937, 91, 1479, 1067, 6540, 12173, 14873, 32, 1071, 5871, 15, 9460, 3851, 2541, 5205, 3211, 25206, 12202, 64, 64, 47, 6860, 2393, 6125, 53, 2818, 1063, 3776, 3726, 32, 7334, 12534, 4644, 1009, 2976, 1126, 29093, 2041, 17401, 1009, 2976, 1126, 1180, 1052, 28793, 1049, 2709, 12173, 14873, 32, 8448, 5871, 15, 1307, 3851, 25, 3541, 3612, 1999, 6860, 132, 56, 6125, 53, 2818, 1063, 3776, 3726, 1084, 7877, 24679, 21141, 51, 126, 2428, 1207, 2805, 4212, 2805, 52, 32, 7334, 15934, 1107, 6926, 1259, 1324, 1015, 21, 7076, 14007, 6914, 1533, 28956, 1134, 1342, 1691, 1021, 4893, 32, 9252, 1034, 1134, 3097, 9252, 1034, 14237, 2166, 9871, 1126, 20101, 1009, 1082, 1627, 1106, 1145, 1009, 16414, 2154, 24844, 6041, 1005, 23889, 1009, 20101, 1175, 2293, 1009, 15457, 1063, 1853, 1054, 2819, 4893, 1049, 2293, 1009, 3030, 6383, 56, 4503, 7567, 53, 1467, 7877, 4503, 7567, 53, 1096, 1289, 5358, 1006, 2500, 1147, 1007, 1060, 1080, 6226, 1009, 1853, 3450, 2124, 21248, 8421, 17048, 11569, 1075, 11615, 6852, 3846, 150, 2905, 1005, 13172, 3266, 2124, 1063, 7877, 4503, 7567, 53, 1325, 1752, 1472, 1184, 4294, 1140, 1054, 8236, 1005, 16891, 1044, 4818, 10404, 4592, 1100, 4513, 1157, 1132, 15991, 1009, 1569, 24021, 1009, 1456, 3195, 1206, 23344, 21614, 1627, 1106, 6226, 3519, 1106, 6226, 1083, 6731, 1292, 1022, 2816, 25528, 1114, 3010, 19105, 2995, 1408, 1544, 1009, 1125, 75, 11016, 1009, 18724, 1009, 12774, 1030, 2399, 2124, 25528, 1009, 18724, 11016, 1060, 3010, 2215, 2275, 6941, 18312, 1544, 1009, 18724, 1060, 3010, 2215, 2275, 9871, 1348, 1551, 13811, 1972, 23928, 6244, 1069, 72, 73, 72, 4675, 1326, 8905, 2124, 4410, 1060, 8766, 1009, 18312, 1416, 1009, 18724, 18312, 1348, 1009, 29535, 1814, 4674, 31957, 11280, 5641, 25528, 1009, 8344, 11016, 2120, 2515, 1068, 1006, 5641, 2814, 11181, 1159, 10927, 18724, 1054, 1080, 6226, 1063, 8755, 1048, 1026, 2492, 1047, 1009, 675, 0, 5, 1263, 1810, 18807, 7646, 1025, 168, 1054, 8344, 9762, 10359, 1005, 6731, 83, 1022, 2227, 1009, 18790, 1009, 9163, 1088, 4189, 1068, 5641, 2124, 18790, 14623, 16846, 5638, 7428, 1088, 4189, 10405, 25528, 1009, 1484, 1362, 13570, 7508, 3195, 7860, 89, 29083, 1166, 18790, 18807, 7646, 3073, 1054, 8344, 15548, 2227, 10359, 1005, 6099, 6532, 1665, 6046, 7901, 1485, 2165, 18790, 15480, 1068, 15374, 1154, 2650, 18790, 1009, 11569, 1075, 18389, 18790, 1009, 16846, 5638, 6548, 1068, 5641, 18790, 1009, 16711, 1631, 6731, 44, 4469, 1708, 1005, 14623, 1009, 25332, 10794, 17670, 11255, 6731, 46, 1816, 93, 2077, 10839, 21118, 26209, 18, 23137, 4437, 2271, 14835, 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 ]

[ 1096, 2481, 15757, 18949, 1006, 1057, 1040, 2489, 1049, 1494, 1316, 85, 1833, 92, 1459, 2997, 1086, 1017, 1443, 1016, 1679, 6044, 1049, 7369, 1533, 2444, 1048, 9545, 14075, 24462, 1026, 7333, 1009, 3596, 7369, 1024, 1976, 1178, 1890, 1006, 1751, 1060, 5096, 20, 1, 7877, 2545, 135, 50, 3726, 1711, 1138, 2670, 14900, 9581, 8413, 18, 1054, 28743, 4376, 1054, 3444, 3267, 1009, 4132, 1005, 7661, 11662, 1114, 3696, 2429, 15628, 1006, 15617, 17572, 1049, 6545, 1005, 1060, 6296, 1005, 1026, 2822, 1049, 2373, 1469, 4402, 1303, 1054, 6823, 8226, 2034, 5567, 2643, 2281, 13592, 1072, 6942, 1213, 2017, 12523, 20, 3204, 1195, 1026, 5064, 28743, 4376, 1322, 1026, 5054, 4949, 1054, 1044, 3041, 1009, 2444, 1009, 1158, 2250, 21244, 11693, 10486, 7129, 11027, 1005, 14380, 3634, 19557, 1026, 6502, 1009, 3548, 26251, 2166, 1006, 19768, 1009, 9736, 1400, 1026, 13550, 1009, 6545, 1005, 1026, 1651, 20535, 1054, 4506, 1377, 1138, 1048, 1058, 5103, 1072, 1784, 1225, 12999, 1048, 1026, 2417, 1009, 4461, 1096, 1026, 1271, 1783, 4109, 1009, 5251, 4844, 7804, 1118, 1048, 11853, 6296, 37, 1711, 7468, 1079, 9581, 1704, 2670, 4979, 1048, 1026, 12523, 2373, 6148, 92, 2160, 24864, 626, 1005, 4979, 1048, 1006, 1834, 2373, 27944, 1048, 5711, 626, 1898, 621, 1138, 9851, 4064, 20, 10590, 1847, 3729, 1069, 1118, 3230, 1005, 23264, 24864, 20, 7290, 1834, 1225, 1048, 2199, 3144, 1766, 13002, 3634, 1178, 2384, 7425, 1138, 4873, 1147, 1271, 6428, 1976, 1178, 6508, 2270, 6629, 25984, 10094, 6423, 1233, 3339, 4159, 4908, 1831, 28743, 4376, 1322, 1026, 23505, 4949, 1072, 1531, 1675, 1009, 12360, 9581, 4979, 1048, 1160, 2284, 7065, 1068, 2373, 86, 7303, 626, 1005, 1048, 1026, 2803, 1516, 1009, 11221, 1533, 2750, 5879, 1322, 1026, 5054, 1195, 5191, 1114, 3757, 7715, 1072, 1531, 2224, 1009, 3261, 20, 1138, 2670, 4295, 15632, 1026, 1403, 6091, 1009, 14766, 1048, 3586, 2768, 1312, 1068, 1026, 8184, 7715, 3121, 1233, 21327, 1068, 4379, 18250, 1153, 17460, 1138, 3266, 27965, 16708, 5404, 19426, 1187, 12230, 1554, 1, 2654, 7482, 1009, 11542, 1009, 2289, 1044, 21854, 2572, 1058, 27983, 8312, 37, 6156, 1148, 1371, 2364, 1592, 7, 24427, 1072, 3164, 13147, 1187, 3948, 1068, 13365, 1026, 13512, 1048, 1184, 18670, 1043, 1299, 1005, 1449, 1295, 2364, 1235, 5317, 26556, 1009, 6812, 1305, 9797, 20, 1205, 2178, 1299, 1318, 4524, 1751, 1060, 4668, 1184, 11637, 1342, 1049, 3878, 1043, 8471, 1009, 4031, 1005, 3680, 1233, 2900, 1009, 13161, 1048, 3533, 1202, 6812, 1005, 15079, 2115, 27819, 7, 25421, 21148, 1371, 1068, 14710, 4889, 1043, 1094, 11788, 30968, 25406, 1005, 7522, 5074, 1009, 6812, 1005, 2627, 1699, 1094, 1624, 71, 3004, 1592, 7, 4247, 13946, 1072, 25902, 1005, 1323, 18570, 1026, 1048, 1299, 7206, 4524, 12049, 20, 2654, 1026, 1131, 1047, 1006, 3118, 1252, 7300, 7, 22383, 1013, 14951, 1072, 11467, 1005, 17656, 1323, 9760, 11282, 1323, 13946, 1072, 1413, 14377, 1503, 3711, 4647, 1261, 1044, 7842, 19, 14113, 1493, 11397, 1526, 7, 2430, 17461, 1044, 2792, 25332, 1316, 1188, 1005, 1624, 6292, 1343, 1048, 1323, 7181, 27386, 1024, 1493, 1114, 1457, 1126, 18137, 1250, 15079, 18844, 1384, 3622, 1005, 1305, 9797, 3021, 20602, 22167, 1020, 15595, 1043, 1249, 3461, 1206, 20294, 1798, 85, 2289, 3008, 1105, 1007, 1134, 1252, 1554, 1424, 9661, 1554, 7852, 8444, 1134, 1252, 1554, 5290, 4594, 1271, 5057, 5709, 1170, 14615, 3622, 20, 13985, 2367, 8635, 8071, 1209, 14615, 3622, 2904, 1016, 1069, 2900, 1094, 9304, 1175, 1764, 8094, 9623, 7572, 1365, 3365, 1400, 1068, 21641, 1054, 2073, 1044, 5473, 14629, 1229, 1096, 7296, 24536, 1356, 2444, 1044, 3660, 16597, 2247, 3752, 2391, 1009, 29322, 1482, 2089, 9783, 20620, 1009, 13182, 1044, 6778, 1027, 1118, 1472, 1592, 7909, 1213, 7711, 1060, 1448, 3567, 15210, 1043, 1712, 3311, 1009, 11305, 1149, 5087, 1040, 1124, 8238, 1009, 11763, 1149, 2643, 2444, 6835, 1627, 1384, 7651, 1043, 22263, 10711, 4720, 3273, 6515, 1712, 12106, 1009, 6313, 1005, 1693, 1801, 6716, 1026, 4188, 1060, 28215, 1623, 2950, 1072, 16748, 1060, 16858, 1009, 18692, 13036, 3567, 2605, 1006, 4960, 2751, 3904, 1233, 1030, 2801, 32, 1428, 1026, 3129, 1060, 3897, 1114, 4263, 24398, 1482, 2089, 9783, 1006, 3897, 1049, 3009, 20992, 4454, 1009, 1178, 1023, 27570, 1068, 1801, 6716, 1044, 1536, 6719, 30903, 1114, 15505, 1043, 3606, 5551, 2233, 1400, 11277, 1005, 2798, 8391, 5129, 6485, 4005, 13977, 1006, 1235, 5239, 3866, 6633, 20203, 2923, 1009, 18486, 3552, 7511, 1149, 29266, 1519, 1060, 3897, 5615, 1060, 2635, 1154, 22181, 1294, 10711, 2625, 8618, 1478, 1060, 6313, 9226, 7511, 1149, 2237, 13456, 1005, 4359, 1236, 2739, 2624, 3266, 1118, 2350, 23040, 2387, 10933, 1175, 1561, 5411, 20, 16386, 4883, 26145, 3546, 1005, 1734, 3195, 1043, 5822, 1667, 18664, 1026, 3882, 1301, 28133, 30155, 20, 1, 18724, 1009, 11899, 14623, 1009, 4656, 7278, 3555, 1058, 1518, 29892, 20572, 1068, 5641, 1054, 1953, 96, 84, 33, 25528, 1009, 8344, 12964, 1896, 1054, 18, 18724, 4410, 18312, 1348, 1009, 11899, 1054, 1344, 1153, 1226, 3555, 21672, 4634, 4734, 14623, 1009, 1086, 27, 1054, 9163, 1088, 4189, 1175, 1968, 1093, 2048, 6269, 1568, 8923, 1042, 4870, 1940, 2713, 52, 4055, 5237, 26430, 2818, 5394, 27264, 2164, 6793, 7680, 45, 4562, 39, 1797, 9170, 2320, 17952, 8602, 11136, 22580, 41, 1175, 23873, 1112, 1009, 4389, 79, 8554, 1225, 1837, 5641, 1132, 4496, 1098, 1396, 13317, 9252, 1034, 11564, 1324, 5033, 20180, 18, 5033, 30041, 12443, 3438, 2255, 9871, 1126, 9044, 1665, 3022, 21614, 1627, 14245, 1027, 1683, 13871, 1283, 1128, 2703, 1175, 675, 0, 3341, 46, 27848, 1009, 3649, 1054, 11227, 7516, 3996, 13016, 1005, 12662, 1161, 1175, 13016, 1009, 5850, 1009, 2778, 25560, 11073, 1114, 15629, 3682, 20, 3381, 29930, 13359, 1487, 5562, 31, 1071, 4104, 13783, 1006, 18379, 1896, 15, 1054, 11227, 7516, 1123, 6822, 21621, 1132, 3145, 5850, 1009, 3649, 1068, 1224, 3733, 32, 9252, 1411, 20101, 9871, 2166, 8713, 76, 2746, 1009, 10992, 1229, 1073, 4468, 1128, 1653, 7117, 21119, 1010, 1009, 15940, 1940, 1320, 1087, 3857, 1009, 20101, 1106, 6226, 1605, 18458, 1009, 8344, 1080, 6226, 27998, 9252, 1034, 1005, 20101, 4351, 5850, 8183, 15679, 2585, 2328, 1009, 4085, 19302, 1005, 1048, 9577, 1043, 1006, 13496, 1009, 28380, 1060, 1853, 2596, 2481, 1006, 1429, 1272, 1009, 1664, 1132, 19139, 18664, 1184, 1322, 1132, 1734, 3195, 1048, 1693, 3684, 3194, 1024, 2856, 20101, 1106, 6226, 1068, 1338, 2491, 1303, 6731, 2099, 5765, 1009, 25528, 1043, 16358, 7280, 89, 5168, 5765, 10404, 1043, 25528, 1009, 20045, 1068, 1006, 6937, 1009, 14994, 3666, 7303, 1054, 6296, 21908, 1094, 2451, 5092, 1048, 6471, 1043, 1006, 2935, 1009, 9762, 1068, 1006, 27791, 1009, 19752, 30791, 1009, 7948, 2051, 1005, 15374, 1154, 2650, 1009, 20045, 1068, 2490, 17848, 1005, 19753, 3072, 1363, 4410, 1059, 1263, 1810, 1009, 1543, 95, 9725, 19928, 11933, 2446, 1009, 18790, 1096, 3778, 3587, 1054, 22882, 1006, 19091, 1005, 1006, 30767, 1675, 16807, 1844, 11587, 30, 1487, 21352, 1119, 1586, 1177, 1779, 15892, 27, 1782, 25714, 1101, 12540, 28, 1782, 22928, 15688, 1104, 1497, 2475, 14337, 24, 1307, 26115, 1487, 13932, 31, 2124, 1543, 95, 9725, 2446, 1009, 18790, 1005, 1009, 2197, 1026, 1175, 8873, 1092, 5792, 2124, 13567, 1116, 1049, 18790, 1543, 95, 9725, 1175, 9290, 90, 2356, 8647, 19, 4736, 1330, 2124, 1543, 95, 9725, 18790, 1068, 11283, 19928, 20, 1138, 3489, 1049, 18790, 31242, 1096, 1068, 3073, 1014, 6731, 19838, 52, 4055, 5237, 2713, 2818, 1063, 3776, 3726, 1084, 7877, 24679, 6793, 12239, 3924, 9128, 7146, 3776, 1467, 3028, 2451, 7717, 1569, 3638, 1054, 6796, 1511, 1026, 10133, 1067, 88, 1207, 1669, 1136, 7214, 1328, 2845, 1006, 4524, 1009, 2596, 8636, 1005, 5232, 1068, 7304, 1124, 6106, 1049, 3472, 15407, 1159, 18458, 1005, 1114, 5641, 1009, 6239, 1411, 18312, 1126, 4126, 72, 2586, 8344, 30364, 3548, 28121, 4534, 2124, 11697, 4142, 1157, 1927, 1006, 3450, 1187, 3195, 20899, 1005, 1006, 24855, 1114, 9656, 1126, 2340, 9731, 1800, 13978, 3486, 1005, 1026, 6731, 11478, 1192, 2147, 1009, 15374, 8673, 2311, 3789, 10243, 95, 8753, 1252, 79, 17783, 25560, 1009, 2553, 1034, 9736, 3013, 1009, 6239, 2275, 2553, 1034, 9736, 3013, 1009, 11899, 1009, 2197, 1026, 18, 1009, 15374, 1154, 2650, 1009, 8344, 1054, 7428, 1088, 4189, 2553, 1034, 9736, 15040, 3649, 2532, 1339, 2166, 4445, 1009, 6389, 1005, 8938, 19825, 31310, 1295, 6163, 31697, 1078, 7204, 15374, 1154, 2650, 1233, 5641, 1015, 1197, 1212, 1021, 15374, 1154, 2650, 6163, 2597, 22219, 9761, 5462, 1067, 5356, 3073, 1608, 15374, 1154, 2650, 1009, 29608, 18, 1009, 7204, 15374, 1154, 2650, 24426, 1009, 6102, 675, 1533, 2838, 2189, 1049, 30234, 1009, 9684, 1106, 6226, 1940, 1320, 5740, 2650, 1054, 3584, 9898, 32, 13807, 3776, 51, 6077, 6860, 132, 56, 6125, 53, 2818, 13807, 3776, 45, 15104, 25102, 7826, 8722, 6268, 1212, 18, 4652, 9481, 20379, 2534, 2915, 1164, 10519, 27608, 1937, 91, 1175, 11779, 12173, 14873, 32, 1071, 5871, 15, 9460, 3851, 14976, 3949, 25206, 12202, 64, 64, 47, 6860, 2393, 6125, 53, 2818, 1063, 3776, 3726, 7334, 12534, 4644, 1009, 2976, 1126, 29093, 2041, 17401, 1009, 2976, 1126, 1180, 1052, 28793, 1049, 2709, 12173, 14873, 32, 8448, 5871, 15, 1307, 3851, 25, 3541, 3612, 24, 6860, 132, 56, 6125, 53, 2818, 1063, 3776, 3726, 1084, 7877, 24679, 21141, 51, 126, 2428, 1207, 2805, 4212, 2805, 52, 7334, 15934, 1107, 6926, 1259, 1324, 1015, 21, 7076, 14007, 1049, 2293, 17612, 2925, 1106, 9185, 1479, 13011, 6186, 20101, 2555, 12801, 1009, 1106, 6226, 1118, 12982, 1075, 18389, 20, 21614, 1027, 13011, 8448, 21, 9238, 15, 1106, 6226, 1083, 10357, 14243, 2084, 6877, 1106, 6226, 1101, 2149, 20212, 2708, 15, 1106, 6226, 1307, 6323, 17762, 2023, 6877, 23889, 1009, 20101, 8448, 21, 6456, 1063, 1212, 3401, 20, 2462, 1184, 2098, 16210, 6183, 1410, 21214, 1940, 1320, 5740, 2650, 1054, 3584, 6790, 5949, 13807, 3776, 51, 6077, 6860, 132, 56, 6125, 53, 2818, 13807, 3776, 45, 15104, 25102, 7826, 32, 8722, 6268, 1212, 18, 4652, 9481, 20379, 2534, 2915, 1164, 10519, 27608, 1937, 91, 1479, 1067, 6540, 12173, 14873, 32, 1071, 5871, 15, 9460, 3851, 2541, 5205, 3211, 25206, 12202, 64, 64, 47, 6860, 2393, 6125, 53, 2818, 1063, 3776, 3726, 32, 7334, 12534, 4644, 1009, 2976, 1126, 29093, 2041, 17401, 1009, 2976, 1126, 1180, 1052, 28793, 1049, 2709, 12173, 14873, 32, 8448, 5871, 15, 1307, 3851, 25, 3541, 3612, 1999, 6860, 132, 56, 6125, 53, 2818, 1063, 3776, 3726, 1084, 7877, 24679, 21141, 51, 126, 2428, 1207, 2805, 4212, 2805, 52, 32, 7334, 15934, 1107, 6926, 1259, 1324, 1015, 21, 7076, 14007, 6914, 1533, 28956, 1134, 1342, 1691, 1021, 4893, 32, 9252, 1034, 1134, 3097, 9252, 1034, 14237, 2166, 9871, 1126, 20101, 1009, 1082, 1627, 1106, 1145, 1009, 16414, 2154, 24844, 6041, 1005, 23889, 1009, 20101, 1175, 2293, 1009, 15457, 1063, 1853, 1054, 2819, 4893, 1049, 2293, 1009, 3030, 6383, 56, 4503, 7567, 53, 1467, 7877, 4503, 7567, 53, 1096, 1289, 5358, 1006, 2500, 1147, 1007, 1060, 1080, 6226, 1009, 1853, 3450, 2124, 21248, 8421, 17048, 11569, 1075, 11615, 6852, 3846, 150, 2905, 1005, 13172, 3266, 2124, 1063, 7877, 4503, 7567, 53, 1325, 1752, 1472, 1184, 4294, 1140, 1054, 8236, 1005, 16891, 1044, 4818, 10404, 4592, 1100, 4513, 1157, 1132, 15991, 1009, 1569, 24021, 1009, 1456, 3195, 1206, 23344, 21614, 1627, 1106, 6226, 3519, 1106, 6226, 1083, 6731, 1292, 1022, 2816, 25528, 1114, 3010, 19105, 2995, 1408, 1544, 1009, 1125, 75, 11016, 1009, 18724, 1009, 12774, 1030, 2399, 2124, 25528, 1009, 18724, 11016, 1060, 3010, 2215, 2275, 6941, 18312, 1544, 1009, 18724, 1060, 3010, 2215, 2275, 9871, 1348, 1551, 13811, 1972, 23928, 6244, 1069, 72, 73, 72, 4675, 1326, 8905, 2124, 4410, 1060, 8766, 1009, 18312, 1416, 1009, 18724, 18312, 1348, 1009, 29535, 1814, 4674, 31957, 11280, 5641, 25528, 1009, 8344, 11016, 2120, 2515, 1068, 1006, 5641, 2814, 11181, 1159, 10927, 18724, 1054, 1080, 6226, 1063, 8755, 1048, 1026, 2492, 1047, 1009, 675, 0, 5, 1263, 1810, 18807, 7646, 1025, 168, 1054, 8344, 9762, 10359, 1005, 6731, 83, 1022, 2227, 1009, 18790, 1009, 9163, 1088, 4189, 1068, 5641, 2124, 18790, 14623, 16846, 5638, 7428, 1088, 4189, 10405, 25528, 1009, 1484, 1362, 13570, 7508, 3195, 7860, 89, 29083, 1166, 18790, 18807, 7646, 3073, 1054, 8344, 15548, 2227, 10359, 1005, 6099, 6532, 1665, 6046, 7901, 1485, 2165, 18790, 15480, 1068, 15374, 1154, 2650, 18790, 1009, 11569, 1075, 18389, 18790, 1009, 16846, 5638, 6548, 1068, 5641, 18790, 1009, 16711, 1631, 6731, 44, 4469, 1708, 1005, 14623, 1009, 25332, 10794, 17670, 11255, 6731, 46, 1816, 93, 2077, 10839, 21118, 26209, 18, 23137, 4437, 2271, 14835, 1096, 1044 ]

[ 6210, 20820, 21251, 43, 6279, 1124, 9417, 4761, 21519, 1679, 1756, 1907, 1054, 24701, 1058, 2255, 1118, 1026, 2881, 1009, 9925, 1596, 3550, 1312, 1159, 23970, 1019, 8177, 1009, 21728, 77, 2037, 1206, 1124, 25483, 1068, 1026, 1538, 28054, 1031, 1236, 13, 5469, 83, 1307, 2639, 2443, 1779, 1565, 1138, 3266, 28042, 16600, 2125, 8545, 1072, 2790, 8100, 1049, 4489, 12482, 17610, 20996, 1014, 1068, 1132, 2296, 15920, 10260, 7438, 85, 5920, 1054, 1163, 3951, 9541, 1068, 1132, 1086, 1019, 1907, 33, 1005, 9747, 6861, 1054, 6425, 6861, 1068, 1132, 1607, 1265, 1907, 4334, 90, 6013, 26, 7484, 7157, 1565, 4634, 6849, 1114, 4180, 1009, 2723, 91, 5280, 1124, 2089, 2125, 1596, 3550, 1312, 1114, 1751, 8223, 1049, 12482, 17610, 1633, 9906, 1114, 12605, 1009, 1144, 2162, 3185, 1803, 1067, 3434, 1191, 1114, 12605, 1009, 23098, 1007, 2334, 1005, 1207, 1375, 2431, 1463, 12605, 1009, 8678, 150, 7821, 89, 20061, 29, 1565, 15460, 3586, 11594, 19029, 2594, 1312, 1463, 5852, 20335, 5046, 1005, 3821, 1060, 3548, 1054, 1048, 3050, 2241, 20, 4150, 1648, 21803, 1005, 2384, 1580, 13519, 15809, 1068, 3592, 4412, 4761, 4334, 90, 22346, 30066, 4334, 11170, 11379, 1221, 23139, 1781, 1174, 1546, 11427, 2836, 1371, 3249, 1930, 1048, 1992, 1159, 1006, 10567, 1009, 25591, 6861, 1026, 2785, 1045, 10408, 1271, 6012, 1436, 1009, 24406, 8, 15273, 29272, 1094, 6973, 1863, 3097, 1160, 1068, 1006, 7654, 1009, 1261, 4525, 1309, 1068, 1058, 6825, 1006, 8555, 1005, 1006, 13330, 23276, 1114, 3548, 25073, 1006, 13330, 23276, 1009, 9925, 29184, 1318, 1049, 11064, 1271, 6012, 1436, 24406, 1406, 1531, 1006, 11379, 12920, 6593, 1045, 91, 2275, 19567, 12213, 1005, 16900, 1213, 1720, 1049, 26645, 2340, 1294, 31726, 1005, 1294, 9515, 1118, 1224, 23959, 13330, 23276, 8245, 1060, 5939, 4865, 8175, 1048, 1026, 11971, 1291, 1060, 16748, 27028, 1114, 11267, 1049, 7856, 16074, 14895, 1271, 6012, 1436, 1009, 24406, 1406, 2089, 2831, 1018, 1693, 1178, 4051, 6397, 6135, 1138, 2386, 3946, 1391, 1271, 4761, 1294, 5879, 1009, 1044, 3219, 1048, 1927, 3902, 10830, 1026, 3177, 1233, 1224, 8555, 1005, 13330, 1950, 14890, 2275, 2034, 4761, 3586, 22019, 1054, 5852, 2460, 1273, 1068, 1511, 21711, 1006, 1880, 2485, 1058, 25762, 1993, 1006, 1184, 4500, 1377, 21908, 4456, 1041, 1544, 1049, 3177, 1233, 8555, 1005, 13330, 1950, 14890, 1411, 1206, 8677, 1125, 1070, 1452, 1043, 1132, 15477, 1544, 1009, 6912, 1027, 3900, 19, 24231, 1325, 4458, 1009, 23696, 5685, 14668, 1009, 2596, 1098, 1462, 1523, 14077, 13287, 10894, 13739, 2457, 11729, 1048, 1044, 1531, 1190, 9055, 1178, 25757, 1009, 7653, 24193, 80, 2445, 6135, 2034, 4761, 1160, 7548, 1648, 1006, 2283, 1146, 2485, 1309, 1026, 3282, 17778, 1009, 1733, 14369, 25586, 1060, 17376, 1664, 1327, 18959, 1452, 1495, 1048, 1058, 10400, 1026, 7462, 6135, 2034, 26206, 1271, 9127, 26788, 1005, 2252, 1124, 26206, 1054, 5661, 6510, 3291, 6993, 1005, 20720, 18, 1996, 1009, 10048, 2073, 5018, 4159, 1679, 7679, 3052, 20, 12010, 1566, 1596, 1005, 1826, 1847, 8160, 1402, 1005, 19474, 1166, 14294, 1278, 1118, 1160, 4207, 20747, 15047, 1847, 3037, 3607, 15691, 6052, 1166, 1043, 7951, 1149, 6135, 3219, 5902, 1048, 3043, 2315, 1132, 1048, 2115, 13015, 1159, 2200, 1592, 3534, 15, 1010, 1211, 2528, 1043, 8555, 1005, 13330, 23276, 3306, 90, 11736, 3612, 1565, 1, 14384, 30674, 32, 6566, 2484, 1009, 11474, 1024, 1177, 1005, 5633, 11613, 1029, 53, 5881, 1009, 1944, 17612, 1342, 15554, 2135, 1559, 17594, 2135, 1307, 3663, 28390, 21285, 2135, 4984, 1009, 3261, 1009, 4210, 7572, 1852, 1060, 3232, 1009, 23227, 18054, 1195, 22836, 1026, 3435, 31028, 1060, 1083, 0, 4415, 1049, 14384, 30674, 1060, 23073, 20, 1063, 11355, 2793, 1118, 2612, 1060, 1745, 2484, 1049, 11474, 1024, 1177, 19744, 1021, 1930, 1118, 2612, 1009, 1044, 3481, 1009, 4577, 20, 7496, 4473, 1096, 3907, 1009, 1663, 1124, 7685, 1009, 2017, 7, 11421, 4331, 1026, 14627, 3092, 14547, 11705, 1357, 22075, 18030, 3361, 3013, 1049, 30674, 3812, 1007, 1815, 1435, 32, 1058, 1026, 6752, 8171, 1006, 10421, 20736, 1976, 1681, 4822, 1130, 1044, 3311, 1009, 1224, 10685, 16610, 9184, 3241, 18899, 1069, 1006, 10421, 18706, 1976, 2058, 1024, 1184, 1044, 1883, 1667, 3782, 2572, 3754, 1048, 2306, 2521, 9216, 1206, 4110, 3328, 1225, 1048, 3659, 19248, 5848, 132, 2512, 8356, 1048, 1006, 1745, 2484, 1049, 11474, 1024, 1177, 1160, 1058, 5632, 1009, 1094, 1210, 2176, 20, 1063, 4380, 1096, 19408, 1005, 1026, 3481, 1195, 19147, 4564, 1114, 10363, 1060, 10421, 1048, 5759, 1006, 9438, 10758, 7550, 13354, 6724, 9878, 5633, 1068, 1957, 3131, 1009, 6724, 4597, 2738, 3068, 15628, 1006, 2323, 1271, 2224, 2975, 1005, 2177, 2232, 13358, 1114, 13790, 1531, 1559, 2394, 1318, 1726, 2224, 8956, 1134, 2059, 12583, 1068, 1160, 6388, 1026, 25926, 1138, 6724, 1976, 1178, 24211, 2328, 1049, 7807, 22037, 1221, 1009, 6881, 3131, 1009, 15912, 1005, 5348, 1122, 1188, 1356, 3266, 3582, 5107, 1048, 1976, 1178, 5573, 1005, 3489, 2111, 6058, 1072, 14787, 1100, 1487, 6435, 11599, 1704, 9824, 11890, 1160, 1976, 1058, 7449, 1054, 3819, 2803, 1890, 1006, 5978, 1009, 1456, 4922, 10245, 2340, 1752, 6724, 1096, 5365, 1069, 1357, 4919, 1609, 3015, 7545, 1029, 1009, 1871, 2283, 3465, 6146, 17315, 1657, 1026, 2285, 1009, 10469, 1049, 6752, 20, 2332, 1790, 1148, 23217, 1024, 1048, 3480, 1536, 1165, 3259, 3775, 1169, 28582, 2502, 7, 8886, 4380, 1976, 1261, 1235, 3266, 6724, 1005, 1160, 1837, 15838, 1009, 5405, 1068, 7752, 20, 1138, 6724, 1096, 1044, 3282, 1049, 6752, 12448, 16047, 4380, 2177, 1210, 8386, 23126, 3102, 1132, 21324, 1005, 16127, 1322, 1957, 3131, 1009, 3480, 1005, 7109, 1210, 13375, 1826, 5262, 1072, 17982, 1009, 6222, 4578, 12350, 28087, 1235, 3435, 7705, 2307, 28472, 1318, 1026, 11474, 1024, 1177, 31028, 1123, 4436, 11326, 3083, 9435, 1479, 1071, 4212, 1106, 3776, 18797, 1308, 23, 0, 4415, 2311, 1595, 9824, 1324, 25204, 19313, 1072, 11474, 1024, 2784, 1210, 1075, 21457, 1009, 1039, 9439, 1400, 1159, 13354, 6724, 1083, 0, 4415, 1026, 1182, 18, 3671, 1599, 14627, 1026, 1182, 18, 11474, 1024, 1177, 1083, 0, 19983, 11474, 1024, 1177, 1026, 1182, 18, 11474, 1024, 1177, 19744, 1021, 1930, 11474, 1024, 1177, 1745, 29486, 11474, 1024, 1177, 2311, 1595, 11577, 1009, 31209, 1957, 1334, 1145, 85, 1009, 2724, 2351, 7756, 3829, 1100, 7756, 21457, 7223, 5633, 11613, 1672, 5633, 2724, 2351, 1039, 9439, 1018, 1210, 1075, 3273, 1039, 9439, 1018, 1475, 2448, 1020, 1009, 1210, 1075, 3829, 1100, 2724, 2351, 6724, 1083, 0, 4415, 1026, 1182, 18, 6724, 1026, 1182, 18, 3435, 1083, 0, 19983, 3435, 1026, 1182, 18, 3435, 19744, 1021, 1930, 1745, 1339, 21457, 1009, 11474, 1024, 2784, 2311, 1595, 11577, 1060, 1026, 1182, 18, 2311, 1595, 11577, 1009, 4272, 1, 3953, 1094, 12168, 1048, 2900, 1044, 5512, 1241, 1218, 1303, 25846, 1069, 1206, 8828, 1009, 15042, 1217, 4236, 1271, 10900, 1060, 2618, 8006, 1009, 20560, 1206, 1009, 2143, 2191, 1009, 5407, 20, 6827, 1707, 6022, 1365, 1132, 7780, 0, 1005, 1132, 3555, 65, 17, 67, 5168, 73, 1707, 28061, 1128, 22, 1206, 1128, 23, 1068, 2092, 9381, 4519, 12792, 78, 1348, 15, 1005, 1503, 23802, 1302, 1120, 4887, 1390, 78, 3013, 1565, 5139, 2374, 2419, 1599, 29235, 1230, 2745, 3867, 1233, 1094, 1271, 10900, 1271, 4874, 23661, 6658, 1206, 24471, 20, 17058, 6763, 1046, 1051, 1715, 65, 17, 67, 3670, 3100, 1094, 3897, 26309, 5221, 3467, 1005, 1009, 7325, 7320, 20, 6827, 1707, 1044, 2269, 1068, 17925, 1043, 2092, 9381, 1054, 26036, 9627, 2011, 1096, 7951, 1005, 4545, 1006, 4397, 28098, 2092, 9381, 1096, 16113, 1005, 1211, 72, 1715, 65, 17, 67, 1759, 1079, 14762, 6057, 2166, 12902, 9460, 1646, 1006, 2900, 1009, 12751, 1005, 1079, 5512, 1068, 29307, 1930, 1068, 9743, 1049, 19745, 1054, 13835, 30100, 1054, 26036, 22120, 2369, 1013, 2528, 4453, 2166, 14107, 2912, 65, 17, 67, 3670, 3100, 1044, 3467, 1009, 14520, 1005, 1503, 2011, 1114, 4384, 1040, 1219, 1460, 21643, 2654, 4647, 6458, 3709, 1043, 1124, 7122, 1184, 7836, 1005, 1072, 4236, 1049, 4489, 2912, 65, 17, 67, 1, 1482, 3819, 2803, 1072, 3407, 1503, 3745, 1006, 1142, 3728, 1169, 74, 1604, 1024, 1060, 9097, 3960, 2792, 20, 3720, 1657, 17554, 1094, 7565, 1048, 1264, 1356, 10882, 15402, 16005, 1048, 1114, 26553, 1096, 1493, 22586, 24914, 1496, 18827, 5436, 7565, 7, 1565, 1084, 2369, 2118, 1048, 1264, 2909, 1006, 1150, 16016, 22181, 8, 1060, 1142, 13140, 1132, 20266, 1327, 2625, 1005, 1357, 2348, 4724, 1145, 1006, 1142, 3728, 1096, 11011, 7201, 1184, 5350, 5602, 4807, 10602, 4137, 1009, 9601, 1048, 1118, 15979, 3874, 1096, 1006, 1048, 1184, 7482, 5493, 7358, 71, 1107, 4385, 1657, 1935, 83, 1009, 3689, 10898, 1130, 1410, 1024, 1005, 20376, 1006, 12195, 7, 3713, 89, 1160, 11059, 1094, 22914, 1160, 3675, 1040, 18091, 1, 18506, 1009, 1128, 1623, 1134, 2450, 3470, 13285, 1014, 2836, 1175, 1128, 1623, 1134, 2450, 3470, 23123, 5947, 1175, 1067, 139, 1128, 4186, 2545, 5, 1255, 1370, 1009, 6046, 29904, 3470, 13285, 1014, 2836, 19922, 1048, 1299, 5902, 3524, 4410, 1009, 6046, 29904, 3470, 13285, 1014, 1085, 1324, 24507, 2934, 1791, 3328, 4412, 20, 1138, 1831, 1096, 4966, 1048, 1096, 1044, 4577, 1009, 3596, 8202, 1233, 15991, 1005, 1048, 12803, 1566, 1048, 1096, 8481, 1054, 3118, 27913, 1303, 1009, 1588, 5206, 1061, 1051, 1667, 1138, 2277, 3311, 2512, 1096, 1058, 1006, 2451, 5544, 6394, 1883, 21597, 1005, 13674, 1068, 7304, 1124, 6106, 1009, 1456, 13857, 1992, 1159, 1006, 8384, 1128, 3352, 15251, 1014, 3291, 1184, 1322, 4410, 1009, 6046, 29904, 3470, 13285, 1014, 2836, 37, 2494, 8384, 2899, 81, 1273, 1299, 3250, 1006, 4081, 1048, 3902, 1213, 1058, 9149, 1009, 28348, 1551, 12072, 7863, 25630, 73, 2315, 3140, 1159, 1128, 1623, 16265, 1789, 8386, 1138, 1037, 1075, 2166, 28348, 1551, 15785, 7019, 1420, 11066, 20072, 1155, 1258, 13385, 20072, 29904, 1019, 6657, 20072, 24321, 17943, 2565, 6046, 7200, 1140, 1068, 3154, 9596, 1424, 4085, 9406, 3233, 1041, 2585, 1005, 9255, 3944, 1273, 1006, 4422, 1096, 4310, 1009, 1058, 13056, 1009, 1871, 14433, 1072, 3099, 1704, 3284, 1049, 3407, 4032, 1013, 1370, 1009, 1128, 1623, 1134, 2450, 3470, 13285, 1014, 2836, 8, 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, 1134, 27469, 19295, 1062, 2982, 42, 2545, 2856, 4501, 9394, 28921, 1641, 1049, 15708, 1757, 4235, 2386, 1005, 10584, 3486, 21216, 9394, 28921, 1641, 1049, 15708, 1757, 4235, 2386, 1005, 10584, 3486, 2995, 17861, 2409, 8499, 2824, 2971, 2744, 1054, 1764, 3381, 1049, 22115, 6146, 1919, 16294, 2098, 1034, 3862, 1225, 18968, 4761, 1305, 13676, 5066, 10158, 2277, 1026, 25569, 5721, 1421, 4559, 9326, 12837, 1356, 1023, 12841, 1213, 13150, 1049, 2733, 14322, 9898, 6285, 16794, 8534, 42, 1166, 1049, 7674, 5960, 9610, 2464, 1187, 6151, 7583, 28, 1910, 6921, 22522, 3404, 25, 1071, 7795, 4313, 1072, 15708, 15, 1160, 9577, 1043, 13676, 5066, 10158, 1206, 4473, 1160, 2643, 3048, 1592, 10545, 1640, 3589, 12798, 8922, 1206, 14200, 1009, 5883, 20, 1776, 2535, 1271, 13327, 5066, 10158, 3130, 31, 1254, 6921, 1049, 1908, 1160, 10067, 1026, 23780, 1138, 1163, 23, 7062, 1054, 4761, 1009, 2125, 6780, 1068, 5172, 1124, 8272, 1187, 8631, 1048, 19931, 1043, 1006, 11143, 1009, 3140, 5066, 17334, 3423, 1009, 1764, 3381, 1049, 22115, 6146, 15533, 26053, 1049, 1163, 23, 1596, 1006, 21888, 1009, 1205, 6469, 4228, 22889, 1005, 7706, 1009, 21390, 1071, 3924, 3377, 3026, 9038, 1026, 5333, 1054, 9861, 1026, 4472, 18278, 4644, 1271, 4006, 4369, 9579, 1973, 1048, 3708, 1006, 4716, 1009, 5319, 1006, 12640, 1009, 3453, 1114, 8363, 4733, 12350, 1132, 3396, 12192, 1006, 8592, 16259, 1079, 1048, 1006, 3364, 1271, 19543, 3472, 1580, 1516, 1287, 1713, 1005, 11724, 2979, 1060, 10909, 1566, 1048, 1160, 2284, 9559, 1072, 3338, 14855, 19, 18278, 9326, 4493, 1060, 10584, 1068, 1006, 27627, 1149, 14322, 2231, 3351, 85, 16322, 16794, 8534, 8, 52, 2840, 3780, 3230, 3675, 2315, 1318, 1048, 1124, 1783, 1880, 1041, 2241, 1009, 2574, 3861, 1005, 1616, 1160, 1516, 7296, 1068, 1132, 3056, 5066, 1554, 8446, 1800, 24213, 1044, 12510, 4708, 1009, 20511, 1006, 12935, 25814, 1896, 1068, 13264, 1024, 21087, 1060, 8596, 17671, 5954, 16629, 1054, 6019, 1009, 2824, 1158, 31511, 1482, 4702, 2468, 1089, 4318, 1049, 7674, 1009, 2981, 3036, 2663, 26446, 1944, 9394, 2229, 8194, 1049, 7751, 9075, 1089, 1006, 4840, 1233, 2779, 1009, 1764, 3381, 1049, 22115, 1230, 2170, 1054, 3049, 1009, 8683, 5977, 10799, 1026, 7674, 1187, 1062, 1097, 1102, 1005, 1006, 10584, 2386, 1406, 9964, 3590 ]

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

[ 6210, 20820, 21251, 43, 6279, 1124, 9417, 4761, 21519, 1679, 1756, 1907, 1054, 24701, 1058, 2255, 1118, 1026, 2881, 1009, 9925, 1596, 3550, 1312, 1159, 23970, 1019, 8177, 1009, 21728, 77, 2037, 1206, 1124, 25483, 1068, 1026, 1538, 28054, 1031, 1236, 13, 5469, 83, 1307, 2639, 2443, 1779, 1565, 1138, 3266, 28042, 16600, 2125, 8545, 1072, 2790, 8100, 1049, 4489, 12482, 17610, 20996, 1014, 1068, 1132, 2296, 15920, 10260, 7438, 85, 5920, 1054, 1163, 3951, 9541, 1068, 1132, 1086, 1019, 1907, 33, 1005, 9747, 6861, 1054, 6425, 6861, 1068, 1132, 1607, 1265, 1907, 4334, 90, 6013, 26, 7484, 7157, 1565, 4634, 6849, 1114, 4180, 1009, 2723, 91, 5280, 1124, 2089, 2125, 1596, 3550, 1312, 1114, 1751, 8223, 1049, 12482, 17610, 1633, 9906, 1114, 12605, 1009, 1144, 2162, 3185, 1803, 1067, 3434, 1191, 1114, 12605, 1009, 23098, 1007, 2334, 1005, 1207, 1375, 2431, 1463, 12605, 1009, 8678, 150, 7821, 89, 20061, 29, 1565, 15460, 3586, 11594, 19029, 2594, 1312, 1463, 5852, 20335, 5046, 1005, 3821, 1060, 3548, 1054, 1048, 3050, 2241, 20, 4150, 1648, 21803, 1005, 2384, 1580, 13519, 15809, 1068, 3592, 4412, 4761, 4334, 90, 22346, 30066, 4334, 11170, 11379, 1221, 23139, 1781, 1174, 1546, 11427, 2836, 1371, 3249, 1930, 1048, 1992, 1159, 1006, 10567, 1009, 25591, 6861, 1026, 2785, 1045, 10408, 1271, 6012, 1436, 1009, 24406, 8, 15273, 29272, 1094, 6973, 1863, 3097, 1160, 1068, 1006, 7654, 1009, 1261, 4525, 1309, 1068, 1058, 6825, 1006, 8555, 1005, 1006, 13330, 23276, 1114, 3548, 25073, 1006, 13330, 23276, 1009, 9925, 29184, 1318, 1049, 11064, 1271, 6012, 1436, 24406, 1406, 1531, 1006, 11379, 12920, 6593, 1045, 91, 2275, 19567, 12213, 1005, 16900, 1213, 1720, 1049, 26645, 2340, 1294, 31726, 1005, 1294, 9515, 1118, 1224, 23959, 13330, 23276, 8245, 1060, 5939, 4865, 8175, 1048, 1026, 11971, 1291, 1060, 16748, 27028, 1114, 11267, 1049, 7856, 16074, 14895, 1271, 6012, 1436, 1009, 24406, 1406, 2089, 2831, 1018, 1693, 1178, 4051, 6397, 6135, 1138, 2386, 3946, 1391, 1271, 4761, 1294, 5879, 1009, 1044, 3219, 1048, 1927, 3902, 10830, 1026, 3177, 1233, 1224, 8555, 1005, 13330, 1950, 14890, 2275, 2034, 4761, 3586, 22019, 1054, 5852, 2460, 1273, 1068, 1511, 21711, 1006, 1880, 2485, 1058, 25762, 1993, 1006, 1184, 4500, 1377, 21908, 4456, 1041, 1544, 1049, 3177, 1233, 8555, 1005, 13330, 1950, 14890, 1411, 1206, 8677, 1125, 1070, 1452, 1043, 1132, 15477, 1544, 1009, 6912, 1027, 3900, 19, 24231, 1325, 4458, 1009, 23696, 5685, 14668, 1009, 2596, 1098, 1462, 1523, 14077, 13287, 10894, 13739, 2457, 11729, 1048, 1044, 1531, 1190, 9055, 1178, 25757, 1009, 7653, 24193, 80, 2445, 6135, 2034, 4761, 1160, 7548, 1648, 1006, 2283, 1146, 2485, 1309, 1026, 3282, 17778, 1009, 1733, 14369, 25586, 1060, 17376, 1664, 1327, 18959, 1452, 1495, 1048, 1058, 10400, 1026, 7462, 6135, 2034, 26206, 1271, 9127, 26788, 1005, 2252, 1124, 26206, 1054, 5661, 6510, 3291, 6993, 1005, 20720, 18, 1996, 1009, 10048, 2073, 5018, 4159, 1679, 7679, 3052, 20, 12010, 1566, 1596, 1005, 1826, 1847, 8160, 1402, 1005, 19474, 1166, 14294, 1278, 1118, 1160, 4207, 20747, 15047, 1847, 3037, 3607, 15691, 6052, 1166, 1043, 7951, 1149, 6135, 3219, 5902, 1048, 3043, 2315, 1132, 1048, 2115, 13015, 1159, 2200, 1592, 3534, 15, 1010, 1211, 2528, 1043, 8555, 1005, 13330, 23276, 3306, 90, 11736, 3612, 1565, 1, 14384, 30674, 32, 6566, 2484, 1009, 11474, 1024, 1177, 1005, 5633, 11613, 1029, 53, 5881, 1009, 1944, 17612, 1342, 15554, 2135, 1559, 17594, 2135, 1307, 3663, 28390, 21285, 2135, 4984, 1009, 3261, 1009, 4210, 7572, 1852, 1060, 3232, 1009, 23227, 18054, 1195, 22836, 1026, 3435, 31028, 1060, 1083, 0, 4415, 1049, 14384, 30674, 1060, 23073, 20, 1063, 11355, 2793, 1118, 2612, 1060, 1745, 2484, 1049, 11474, 1024, 1177, 19744, 1021, 1930, 1118, 2612, 1009, 1044, 3481, 1009, 4577, 20, 7496, 4473, 1096, 3907, 1009, 1663, 1124, 7685, 1009, 2017, 7, 11421, 4331, 1026, 14627, 3092, 14547, 11705, 1357, 22075, 18030, 3361, 3013, 1049, 30674, 3812, 1007, 1815, 1435, 32, 1058, 1026, 6752, 8171, 1006, 10421, 20736, 1976, 1681, 4822, 1130, 1044, 3311, 1009, 1224, 10685, 16610, 9184, 3241, 18899, 1069, 1006, 10421, 18706, 1976, 2058, 1024, 1184, 1044, 1883, 1667, 3782, 2572, 3754, 1048, 2306, 2521, 9216, 1206, 4110, 3328, 1225, 1048, 3659, 19248, 5848, 132, 2512, 8356, 1048, 1006, 1745, 2484, 1049, 11474, 1024, 1177, 1160, 1058, 5632, 1009, 1094, 1210, 2176, 20, 1063, 4380, 1096, 19408, 1005, 1026, 3481, 1195, 19147, 4564, 1114, 10363, 1060, 10421, 1048, 5759, 1006, 9438, 10758, 7550, 13354, 6724, 9878, 5633, 1068, 1957, 3131, 1009, 6724, 4597, 2738, 3068, 15628, 1006, 2323, 1271, 2224, 2975, 1005, 2177, 2232, 13358, 1114, 13790, 1531, 1559, 2394, 1318, 1726, 2224, 8956, 1134, 2059, 12583, 1068, 1160, 6388, 1026, 25926, 1138, 6724, 1976, 1178, 24211, 2328, 1049, 7807, 22037, 1221, 1009, 6881, 3131, 1009, 15912, 1005, 5348, 1122, 1188, 1356, 3266, 3582, 5107, 1048, 1976, 1178, 5573, 1005, 3489, 2111, 6058, 1072, 14787, 1100, 1487, 6435, 11599, 1704, 9824, 11890, 1160, 1976, 1058, 7449, 1054, 3819, 2803, 1890, 1006, 5978, 1009, 1456, 4922, 10245, 2340, 1752, 6724, 1096, 5365, 1069, 1357, 4919, 1609, 3015, 7545, 1029, 1009, 1871, 2283, 3465, 6146, 17315, 1657, 1026, 2285, 1009, 10469, 1049, 6752, 20, 2332, 1790, 1148, 23217, 1024, 1048, 3480, 1536, 1165, 3259, 3775, 1169, 28582, 2502, 7, 8886, 4380, 1976, 1261, 1235, 3266, 6724, 1005, 1160, 1837, 15838, 1009, 5405, 1068, 7752, 20, 1138, 6724, 1096, 1044, 3282, 1049, 6752, 12448, 16047, 4380, 2177, 1210, 8386, 23126, 3102, 1132, 21324, 1005, 16127, 1322, 1957, 3131, 1009, 3480, 1005, 7109, 1210, 13375, 1826, 5262, 1072, 17982, 1009, 6222, 4578, 12350, 28087, 1235, 3435, 7705, 2307, 28472, 1318, 1026, 11474, 1024, 1177, 31028, 1123, 4436, 11326, 3083, 9435, 1479, 1071, 4212, 1106, 3776, 18797, 1308, 23, 0, 4415, 2311, 1595, 9824, 1324, 25204, 19313, 1072, 11474, 1024, 2784, 1210, 1075, 21457, 1009, 1039, 9439, 1400, 1159, 13354, 6724, 1083, 0, 4415, 1026, 1182, 18, 3671, 1599, 14627, 1026, 1182, 18, 11474, 1024, 1177, 1083, 0, 19983, 11474, 1024, 1177, 1026, 1182, 18, 11474, 1024, 1177, 19744, 1021, 1930, 11474, 1024, 1177, 1745, 29486, 11474, 1024, 1177, 2311, 1595, 11577, 1009, 31209, 1957, 1334, 1145, 85, 1009, 2724, 2351, 7756, 3829, 1100, 7756, 21457, 7223, 5633, 11613, 1672, 5633, 2724, 2351, 1039, 9439, 1018, 1210, 1075, 3273, 1039, 9439, 1018, 1475, 2448, 1020, 1009, 1210, 1075, 3829, 1100, 2724, 2351, 6724, 1083, 0, 4415, 1026, 1182, 18, 6724, 1026, 1182, 18, 3435, 1083, 0, 19983, 3435, 1026, 1182, 18, 3435, 19744, 1021, 1930, 1745, 1339, 21457, 1009, 11474, 1024, 2784, 2311, 1595, 11577, 1060, 1026, 1182, 18, 2311, 1595, 11577, 1009, 4272, 1, 3953, 1094, 12168, 1048, 2900, 1044, 5512, 1241, 1218, 1303, 25846, 1069, 1206, 8828, 1009, 15042, 1217, 4236, 1271, 10900, 1060, 2618, 8006, 1009, 20560, 1206, 1009, 2143, 2191, 1009, 5407, 20, 6827, 1707, 6022, 1365, 1132, 7780, 0, 1005, 1132, 3555, 65, 17, 67, 5168, 73, 1707, 28061, 1128, 22, 1206, 1128, 23, 1068, 2092, 9381, 4519, 12792, 78, 1348, 15, 1005, 1503, 23802, 1302, 1120, 4887, 1390, 78, 3013, 1565, 5139, 2374, 2419, 1599, 29235, 1230, 2745, 3867, 1233, 1094, 1271, 10900, 1271, 4874, 23661, 6658, 1206, 24471, 20, 17058, 6763, 1046, 1051, 1715, 65, 17, 67, 3670, 3100, 1094, 3897, 26309, 5221, 3467, 1005, 1009, 7325, 7320, 20, 6827, 1707, 1044, 2269, 1068, 17925, 1043, 2092, 9381, 1054, 26036, 9627, 2011, 1096, 7951, 1005, 4545, 1006, 4397, 28098, 2092, 9381, 1096, 16113, 1005, 1211, 72, 1715, 65, 17, 67, 1759, 1079, 14762, 6057, 2166, 12902, 9460, 1646, 1006, 2900, 1009, 12751, 1005, 1079, 5512, 1068, 29307, 1930, 1068, 9743, 1049, 19745, 1054, 13835, 30100, 1054, 26036, 22120, 2369, 1013, 2528, 4453, 2166, 14107, 2912, 65, 17, 67, 3670, 3100, 1044, 3467, 1009, 14520, 1005, 1503, 2011, 1114, 4384, 1040, 1219, 1460, 21643, 2654, 4647, 6458, 3709, 1043, 1124, 7122, 1184, 7836, 1005, 1072, 4236, 1049, 4489, 2912, 65, 17, 67, 1, 1482, 3819, 2803, 1072, 3407, 1503, 3745, 1006, 1142, 3728, 1169, 74, 1604, 1024, 1060, 9097, 3960, 2792, 20, 3720, 1657, 17554, 1094, 7565, 1048, 1264, 1356, 10882, 15402, 16005, 1048, 1114, 26553, 1096, 1493, 22586, 24914, 1496, 18827, 5436, 7565, 7, 1565, 1084, 2369, 2118, 1048, 1264, 2909, 1006, 1150, 16016, 22181, 8, 1060, 1142, 13140, 1132, 20266, 1327, 2625, 1005, 1357, 2348, 4724, 1145, 1006, 1142, 3728, 1096, 11011, 7201, 1184, 5350, 5602, 4807, 10602, 4137, 1009, 9601, 1048, 1118, 15979, 3874, 1096, 1006, 1048, 1184, 7482, 5493, 7358, 71, 1107, 4385, 1657, 1935, 83, 1009, 3689, 10898, 1130, 1410, 1024, 1005, 20376, 1006, 12195, 7, 3713, 89, 1160, 11059, 1094, 22914, 1160, 3675, 1040, 18091, 1, 18506, 1009, 1128, 1623, 1134, 2450, 3470, 13285, 1014, 2836, 1175, 1128, 1623, 1134, 2450, 3470, 23123, 5947, 1175, 1067, 139, 1128, 4186, 2545, 5, 1255, 1370, 1009, 6046, 29904, 3470, 13285, 1014, 2836, 19922, 1048, 1299, 5902, 3524, 4410, 1009, 6046, 29904, 3470, 13285, 1014, 1085, 1324, 24507, 2934, 1791, 3328, 4412, 20, 1138, 1831, 1096, 4966, 1048, 1096, 1044, 4577, 1009, 3596, 8202, 1233, 15991, 1005, 1048, 12803, 1566, 1048, 1096, 8481, 1054, 3118, 27913, 1303, 1009, 1588, 5206, 1061, 1051, 1667, 1138, 2277, 3311, 2512, 1096, 1058, 1006, 2451, 5544, 6394, 1883, 21597, 1005, 13674, 1068, 7304, 1124, 6106, 1009, 1456, 13857, 1992, 1159, 1006, 8384, 1128, 3352, 15251, 1014, 3291, 1184, 1322, 4410, 1009, 6046, 29904, 3470, 13285, 1014, 2836, 37, 2494, 8384, 2899, 81, 1273, 1299, 3250, 1006, 4081, 1048, 3902, 1213, 1058, 9149, 1009, 28348, 1551, 12072, 7863, 25630, 73, 2315, 3140, 1159, 1128, 1623, 16265, 1789, 8386, 1138, 1037, 1075, 2166, 28348, 1551, 15785, 7019, 1420, 11066, 20072, 1155, 1258, 13385, 20072, 29904, 1019, 6657, 20072, 24321, 17943, 2565, 6046, 7200, 1140, 1068, 3154, 9596, 1424, 4085, 9406, 3233, 1041, 2585, 1005, 9255, 3944, 1273, 1006, 4422, 1096, 4310, 1009, 1058, 13056, 1009, 1871, 14433, 1072, 3099, 1704, 3284, 1049, 3407, 4032, 1013, 1370, 1009, 1128, 1623, 1134, 2450, 3470, 13285, 1014, 2836, 8, 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, 1134, 27469, 19295, 1062, 2982, 42, 2545, 2856, 4501, 9394, 28921, 1641, 1049, 15708, 1757, 4235, 2386, 1005, 10584, 3486, 21216, 9394, 28921, 1641, 1049, 15708, 1757, 4235, 2386, 1005, 10584, 3486, 2995, 17861, 2409, 8499, 2824, 2971, 2744, 1054, 1764, 3381, 1049, 22115, 6146, 1919, 16294, 2098, 1034, 3862, 1225, 18968, 4761, 1305, 13676, 5066, 10158, 2277, 1026, 25569, 5721, 1421, 4559, 9326, 12837, 1356, 1023, 12841, 1213, 13150, 1049, 2733, 14322, 9898, 6285, 16794, 8534, 42, 1166, 1049, 7674, 5960, 9610, 2464, 1187, 6151, 7583, 28, 1910, 6921, 22522, 3404, 25, 1071, 7795, 4313, 1072, 15708, 15, 1160, 9577, 1043, 13676, 5066, 10158, 1206, 4473, 1160, 2643, 3048, 1592, 10545, 1640, 3589, 12798, 8922, 1206, 14200, 1009, 5883, 20, 1776, 2535, 1271, 13327, 5066, 10158, 3130, 31, 1254, 6921, 1049, 1908, 1160, 10067, 1026, 23780, 1138, 1163, 23, 7062, 1054, 4761, 1009, 2125, 6780, 1068, 5172, 1124, 8272, 1187, 8631, 1048, 19931, 1043, 1006, 11143, 1009, 3140, 5066, 17334, 3423, 1009, 1764, 3381, 1049, 22115, 6146, 15533, 26053, 1049, 1163, 23, 1596, 1006, 21888, 1009, 1205, 6469, 4228, 22889, 1005, 7706, 1009, 21390, 1071, 3924, 3377, 3026, 9038, 1026, 5333, 1054, 9861, 1026, 4472, 18278, 4644, 1271, 4006, 4369, 9579, 1973, 1048, 3708, 1006, 4716, 1009, 5319, 1006, 12640, 1009, 3453, 1114, 8363, 4733, 12350, 1132, 3396, 12192, 1006, 8592, 16259, 1079, 1048, 1006, 3364, 1271, 19543, 3472, 1580, 1516, 1287, 1713, 1005, 11724, 2979, 1060, 10909, 1566, 1048, 1160, 2284, 9559, 1072, 3338, 14855, 19, 18278, 9326, 4493, 1060, 10584, 1068, 1006, 27627, 1149, 14322, 2231, 3351, 85, 16322, 16794, 8534, 8, 52, 2840, 3780, 3230, 3675, 2315, 1318, 1048, 1124, 1783, 1880, 1041, 2241, 1009, 2574, 3861, 1005, 1616, 1160, 1516, 7296, 1068, 1132, 3056, 5066, 1554, 8446, 1800, 24213, 1044, 12510, 4708, 1009, 20511, 1006, 12935, 25814, 1896, 1068, 13264, 1024, 21087, 1060, 8596, 17671, 5954, 16629, 1054, 6019, 1009, 2824, 1158, 31511, 1482, 4702, 2468, 1089, 4318, 1049, 7674, 1009, 2981, 3036, 2663, 26446, 1944, 9394, 2229, 8194, 1049, 7751, 9075, 1089, 1006, 4840, 1233, 2779, 1009, 1764, 3381, 1049, 22115, 1230, 2170, 1054, 3049, 1009, 8683, 5977, 10799, 1026, 7674, 1187, 1062, 1097, 1102, 1005, 1006, 10584, 2386, 1406, 9964, 3590 ]

[ 1620, 6787, 5587, 1834, 1005, 1359, 20, 4438, 1044, 1934, 2274, 1096, 1184, 1049, 1048, 1094, 6280, 8580, 5330, 1, 2800, 4347, 1322, 3248, 1043, 1124, 3978, 1175, 4285, 13602, 1072, 4831, 152, 5, 2708, 1009, 2436, 1009, 4152, 1844, 1009, 2992, 1009, 4229, 3512, 17805, 2103, 4285, 2184, 54, 23861, 2404, 1283, 4285, 13602, 17888, 6741, 4327, 1096, 9468, 1324, 1096, 1493, 14028, 1479, 1044, 2568, 1009, 31655, 3135, 2421, 2652, 1084, 1043, 1124, 3978, 1160, 1096, 3630, 7, 5575, 1685, 1371, 2306, 15309, 1048, 4088, 2598, 14073, 1202, 4347, 1009, 19238, 1138, 3372, 1009, 4499, 16838, 1072, 2403, 1138, 8537, 31332, 6229, 20, 2494, 3364, 1187, 13381, 1132, 1025, 1097, 3342, 1795, 1046, 1132, 9388, 14325, 1138, 10722, 1810, 14485, 85, 4082, 1224, 4809, 1072, 2738, 1060, 16234, 2034, 1652, 9070, 5045, 1126, 1006, 30352, 1498, 75, 1005, 1006, 1063, 7740, 1160, 1225, 27396, 1766, 12001, 1160, 3634, 13101, 1048, 1124, 3978, 13589, 6180, 1043, 7653, 1915, 15379, 1159, 1006, 5946, 1005, 1006, 3248, 3915, 2869, 1233, 3248, 1009, 1702, 1935, 5328, 3271, 4958, 1206, 1044, 8574, 1009, 22038, 1160, 10894, 2009, 3392, 1124, 3978, 11729, 1054, 6890, 11713, 1016, 1206, 3503, 3958, 1048, 4088, 1327, 1493, 6828, 1068, 14046, 2652, 1766, 12001, 1327, 1132, 8639, 1118, 9202, 1048, 1006, 3248, 1381, 1751, 1049, 8566, 3888, 1060, 5297, 1927, 1043, 1094, 6924, 12908, 1233, 5293, 1049, 9001, 1667, 7766, 1132, 5492, 2864, 3260, 18409, 1006, 6117, 1160, 13780, 1006, 16051, 1009, 3248, 1159, 2637, 29983, 1005, 18648, 5151, 18210, 9528, 1592, 4682, 1096, 3654, 1178, 9143, 1471, 1043, 9475, 3754, 1927, 1006, 24423, 3782, 1096, 6740, 15345, 1592, 1493, 26913, 1006, 6117, 1096, 4310, 1009, 10541, 1132, 4090, 9468, 1018, 1005, 1006, 5042, 1049, 8393, 1054, 2573, 1479, 1687, 6347, 1048, 2637, 5140, 20, 2656, 1058, 1976, 6867, 1130, 1322, 18, 1206, 6910, 1870, 1006, 3248, 1479, 10894, 6242, 1048, 1006, 3271, 3833, 3022, 1048, 1160, 8285, 1184, 2307, 19964, 1309, 1048, 1927, 8285, 1054, 3794, 14675, 1005, 3442, 1368, 11821, 1766, 12001, 1693, 28261, 1114, 3349, 1187, 5089, 1479, 1989, 5762, 24201, 1048, 1096, 8937, 19883, 9468, 2223, 4116, 6242, 1068, 1006, 6117, 1322, 1006, 3248, 1009, 1855, 4028, 1096, 2512, 4347, 1271, 9702, 2691, 2688, 1006, 3248, 5140, 13046, 12013, 31973, 22813, 12879, 7088, 1565, 2013, 27257, 1519, 2997, 1502, 1100, 1005, 3182, 1068, 1006, 6117, 1663, 8155, 1005, 4347, 1322, 1569, 26984, 1242, 1005, 23863, 4355, 12592, 1048, 1026, 1050, 1220, 169, 1195, 1663, 1094, 4680, 5099, 1206, 1048, 1006, 6059, 1034, 7474, 1379, 1206, 15491, 3205, 1160, 1096, 9279, 2340, 1006, 6117, 18867, 1006, 4480, 1616, 7349, 85, 5768, 1060, 10421, 8, 1005, 1298, 6141, 30927, 2306, 2155, 12212, 1160, 2922, 1184, 33, 1006, 3248, 1096, 2649, 1248, 1519, 1005, 1006, 3271, 1298, 7266, 1024, 1206, 1495, 5184, 1006, 1261, 5832, 1009, 7474, 8607, 1505, 1184, 4417, 1048, 4473, 10894, 2071, 1006, 5133, 12665, 2340, 1006, 6117, 3135, 12746, 1048, 1989, 1096, 1044, 6502, 1048, 1381, 1751, 1060, 8150, 3316, 3593, 1871, 1009, 9202, 1006, 3248, 1068, 4088, 1096, 5172, 1124, 6831, 1159, 2991, 0, 4088, 1318, 4274, 3982, 3412, 3982, 1005, 3833, 83, 10806, 6117, 1318, 2155, 4125, 2691, 6982, 1049, 31655, 0, 1298, 4125, 1356, 2568, 1009, 1915, 1112, 2441, 4255, 1160, 5140, 11179, 1298, 4877, 20340, 1071, 5312, 25266, 1229, 12979, 24214, 3971, 1009, 2776, 1100, 3971, 1009, 19516, 18, 3971, 1206, 12995, 1009, 22670, 1459, 1349, 1261, 1026, 9151, 1009, 9468, 7253, 1048, 18450, 1006, 31103, 1024, 2122, 2425, 2154, 1005, 2990, 1053, 4537, 1233, 4415, 1060, 17164, 1533, 6117, 1976, 6098, 1187, 27388, 1009, 7530, 1071, 1267, 23523, 17407, 2586, 22195, 1112, 15, 1058, 4626, 3144, 2013, 3654, 9202, 1044, 2574, 1068, 1687, 1159, 1327, 3530, 22021, 1159, 1857, 2133, 5984, 1005, 1808, 8357, 11157, 1058, 2572, 1848, 1206, 15893, 1603, 1687, 16766, 1118, 1848, 18, 10801, 1213, 1235, 6079, 14199, 1044, 5875, 18, 1309, 1058, 1687, 9578, 1848, 3702, 1996, 1049, 6781, 3599, 23974, 1603, 1687, 1160, 9578, 1848, 18, 1096, 6740, 27832, 8357, 1005, 1160, 6052, 8357, 1118, 9282, 1551, 2073, 5521, 1096, 7296, 2837, 27388, 1043, 1132, 6941, 32, 1663, 6100, 1229, 5522, 1094, 1429, 2528, 27894, 1044, 4447, 1027, 0, 1702, 7355, 1048, 7181, 5239, 1068, 9475, 1005, 1048, 14937, 4797, 1094, 12215, 1236, 1043, 1712, 1572, 1013, 1410, 1131, 14765, 13605, 1060, 6117, 1043, 1006, 3248, 1096, 28235, 5336, 2246, 1124, 6978, 1009, 5943, 1826, 18431, 1213, 4758, 1009, 2073, 1178, 18404, 12027, 1060, 1224, 5293, 2855, 12269, 1685, 1082, 2703, 1810, 1, 10330, 1479, 24212, 1049, 1561, 3008, 1089, 3853, 71, 11683, 1079, 1124, 6444, 1009, 17790, 1054, 2220, 1026, 2497, 1049, 2293, 20, 2034, 11414, 1041, 6238, 3586, 17073, 1016, 2271, 1578, 1009, 3261, 3121, 1233, 7967, 1060, 1023, 11441, 22346, 7509, 3041, 1195, 8744, 1044, 15135, 4408, 6434, 1054, 3957, 1043, 1006, 4572, 1896, 1009, 2956, 1009, 14193, 1118, 2191, 1060, 3845, 18766, 1272, 1009, 27693, 4833, 8194, 1068, 1044, 5606, 7079, 1060, 7038, 7863, 1, 15611, 5508, 1140, 1006, 1101, 1009, 9350, 1009, 13656, 1356, 8843, 1180, 6844, 1051, 7619, 1171, 5343, 1006, 14059, 22361, 54, 5021, 12606, 1058, 9038, 1159, 1094, 2451, 1009, 1429, 1127, 7479, 6607, 2491, 1140, 1068, 1006, 6894, 1009, 3195, 1744, 1363, 4013, 4124, 18692, 1043, 4599, 1114, 4149, 1059, 1255, 0, 1021, 5060, 1161, 1009, 18665, 1271, 6000, 1043, 2617, 1589, 1009, 23132, 25312, 0, 1296, 2150, 3857, 1009, 8697, 25332, 10794, 1148, 1068, 1124, 6000, 1072, 6790, 3133, 16632, 7035, 1006, 4339, 5423, 1322, 23420, 12427, 1065, 1779, 2464, 5219, 11829, 1060, 7388, 1214, 15270, 3426, 5392, 150, 1318, 1068, 1026, 7822, 1005, 16263, 10227, 20, 3423, 1271, 3606, 8790, 1273, 4504, 1412, 1318, 1026, 5875, 1213, 15741, 1205, 56, 5754, 1657, 1054, 15025, 20115, 10343, 1068, 1026, 7044, 1704, 2666, 2364, 2177, 3509, 1009, 23420, 12427, 1065, 18264, 7070, 2401, 1431, 81, 28388, 1005, 1026, 11829, 1195, 4949, 1118, 2191, 1009, 1044, 2017, 22239, 1048, 1299, 1298, 14536, 4109, 11402, 1103, 10783, 79, 8798, 3398, 7847, 1068, 1456, 2523, 9463, 3669, 6206, 1356, 1908, 1175, 6667, 7516, 4978, 13896, 6667, 7516, 4978, 13896, 2856, 19550, 10783, 79, 8798, 3398, 7847, 1068, 1456, 2523, 9463, 3669, 6206, 1356, 1908, 2995, 1506, 1069, 1463, 11504, 12295, 1005, 1114, 25843, 1049, 3472, 1100, 1006, 19550, 10783, 79, 15611, 1009, 18261, 2686, 1248, 8798, 3068, 3757, 1044, 2017, 3609, 1068, 1752, 1044, 1009, 1456, 21770, 1916, 1424, 6920, 12926, 1005, 1184, 7395, 5129, 1132, 5015, 9870, 3177, 1006, 12439, 20585, 1005, 8897, 8290, 2266, 1187, 24282, 1009, 1871, 4445, 1005, 1788, 4773, 2904, 1241, 1270, 1009, 23248, 7943, 1005, 29952, 1211, 13233, 17842, 1049, 3311, 1009, 5618, 1495, 1026, 2386, 1206, 5980, 4626, 2166, 1006, 2360, 6808, 1096, 1184, 1094, 4633, 1009, 2266, 1322, 1132, 3140, 1049, 13346, 3669, 8905, 1766, 4209, 1620, 1693, 12350, 1571, 1068, 1202, 1235, 18075, 12409, 1024, 1456, 4203, 7893, 3607, 5808, 8416, 1118, 2191, 1271, 4928, 10349, 2837, 1235, 7346, 1005, 12116, 1456, 12439, 19353, 1068, 4305, 25690, 12082, 1009, 2303, 1043, 1569, 12972, 4578, 1132, 5617, 2650, 1060, 24452, 1026, 2017, 3609, 3312, 1044, 3462, 8553, 1009, 3239, 1068, 24133, 2528, 1094, 2236, 15258, 1043, 6417, 1009, 1094, 14349, 1029, 30232, 1364, 1005, 12439, 20585, 1048, 31983, 1009, 24452, 1064, 29722, 4518, 18, 18280, 31251, 11618, 1223, 1930, 1365, 1734, 1225, 1273, 18600, 1054, 2224, 4861, 1916, 1, 1106, 16524, 89, 1152, 9598, 1175, 8658, 1049, 1205, 24936, 32, 5495, 12193, 1047, 4597, 7341, 27528, 19806, 1024, 13786, 21450, 1175, 2322, 10714, 9521, 5168, 5765, 1049, 1205, 24936, 32, 5495, 12193, 1047, 4597, 7341, 27528, 19806, 1024, 13786, 21450, 27725, 1009, 9932, 1009, 4229, 1726, 14115, 5003, 1505, 32, 1205, 17887, 12113, 2135, 1106, 16524, 89, 1505, 32, 2231, 79, 1279, 1014, 5751, 1559, 1491, 13386, 1605, 6615, 15630, 6285, 2645, 13986, 9923, 1048, 1026, 29496, 1049, 1205, 24936, 1655, 60, 75, 2660, 2152, 1167, 1322, 5647, 12353, 67, 1049, 5495, 12193, 1047, 4834, 1150, 18242, 2744, 1009, 7284, 8008, 1058, 4219, 3330, 1357, 5495, 8049, 1685, 2100, 1766, 4972, 1049, 2017, 19999, 1596, 14579, 1006, 16905, 1009, 19193, 1072, 18251, 1144, 4080, 1060, 21360, 1114, 3232, 2429, 9307, 2149, 6456, 1533, 3023, 3011, 2166, 2277, 1026, 6680, 1049, 8346, 4547, 10012, 1470, 3182, 1068, 1044, 7341, 27528, 19806, 1024, 3301, 6201, 1616, 1006, 4169, 1009, 3647, 1026, 1211, 7295, 3633, 1049, 8994, 20, 2773, 75, 1026, 1211, 7295, 1049, 8994, 18, 1309, 3904, 3011, 1599, 2697, 10939, 1043, 1006, 3919, 16685, 1060, 4668, 1068, 1006, 9829, 8233, 6698, 10514, 2693, 2122, 6116, 1009, 7276, 1068, 1006, 3649, 1009, 1044, 8703, 17848, 16390, 13786, 16534, 1048, 2177, 1094, 2236, 1009, 29473, 1213, 4113, 1049, 5495, 12193, 1047, 8, 6843, 2304, 6285, 1318, 8990, 1792, 1048, 1026, 17982, 13320, 18124, 1009, 7970, 31292, 2453, 1187, 20513, 1005, 1463, 10900, 10948, 2220, 3775, 3727, 1090, 6481, 1386, 1435, 1060, 9114, 1009, 1764, 26280, 1054, 4499, 1121, 21241, 9454, 1213, 13016, 1005, 1233, 6500, 1049, 18824, 14831, 3826, 1479, 1006, 2323, 1009, 1094, 2618, 1048, 4054, 150, 1357, 8836, 1955, 11851, 2904, 1140, 4250, 5823, 2277, 1026, 1960, 3858, 2177, 10105, 1118, 2125, 20513, 1043, 4008, 1009, 7304, 12774, 9368, 1009, 1094, 3964, 16991, 1138, 10063, 6571, 1365, 1752, 8902, 7412, 1178, 1009, 2125, 4686, 1005, 2191, 20, 1, 7515, 7128, 1224, 20805, 1068, 1006, 1542, 9152, 12461, 7, 1175, 10097, 1542, 9152, 1691, 30724, 4, 630, 1204, 10148, 9521, 29900, 7128, 1224, 20805, 1068, 1006, 1542, 9152, 12461, 7, 6416, 1027, 13519, 1124, 10928, 1068, 1006, 1307, 0, 3536, 1060, 1542, 9152, 12461, 18, 5173, 1048, 2501, 1665, 1124, 2625, 26736, 1009, 7483, 5262, 1072, 3099, 1005, 3354, 5892, 1124, 3460, 1890, 1006, 16283, 4594, 1049, 20649, 2794, 3083, 1349, 1712, 3366, 4011, 1049, 29221, 1048, 5934, 1009, 1158, 1006, 3295, 1009, 12673, 1054, 10055, 10334, 3306, 45, 3377, 42, 13108, 1236, 1054, 2156, 4072, 18676, 1006, 1944, 9165, 1114, 10469, 1005, 12054, 1271, 26736, 1068, 1006, 10562, 28735, 5304, 29371, 2247, 1060, 1542, 2181, 1100, 19900, 11988, 9556, 1463, 3905, 1049, 7483, 1005, 1049, 3725, 1068, 12116, 1124, 1158, 26736, 1048, 29471, 1141, 5084, 1294, 2125, 2250, 1009, 3366, 15017, 6224, 1026, 11273, 4114, 20, 2494, 2750, 28764, 1006, 2323, 1060, 3696, 1009, 1204, 1009, 3113, 14278, 1531, 1996, 1060, 26170, 5184, 1349, 3775, 4434, 1312, 1124, 5795, 1271, 1158, 26736, 1072, 9891, 1060, 1542, 9152, 15687, 8303, 1291, 1018, 9152, 1565, 1063, 9924, 2177, 4661, 1118, 1064, 2145, 1018, 1495, 1026, 1531, 1204, 1009, 29571, 1138, 3435, 1060, 20805, 17355, 2177, 16691, 1072, 1531, 1158, 1009, 3049, 3482, 1014, 1027, 3599, 1907, 26736, 1009, 7483, 1071, 9231, 1627, 3073, 17032, 1638, 175, 1267, 1349, 1502, 74, 17105, 13484, 1004, 13945, 25222, 1546, 75, 1005, 24358, 26321, 1603, 3194, 1079, 37, 11232, 2307, 1068, 6811, 1026, 25281, 1005, 1006, 30647, 1009, 10469, 20, 1138, 5633, 1068, 6098, 1096, 1495, 2595, 1009, 3268, 7, 1, 9220, 5468, 1060, 2900, 2309, 11307, 1048, 2476, 9329, 1046, 1184, 1213, 4249, 1005, 1118, 9040, 2625, 1406, 7312, 1026, 17248, 26803, 8052, 1164, 1561, 1322, 1026, 2017, 11543, 1049, 1235, 2743, 7158, 19613, 2505, 1063, 1313, 24479, 8905, 2430, 1399, 1069, 1043, 4339, 5423, 1356, 1128, 46, 9835, 6806, 18563, 27522, 22388, 7040, 4214, 1006, 6559, 1049, 6035, 1072, 12134, 52, 55, 19197, 1005, 1096, 1318, 1026, 1831, 2011, 1060, 1064, 4876, 1048, 1160, 7514, 1271, 6000, 1009, 1235, 1049, 14907, 8271, 1005, 14178, 10660, 5045, 1321, 1104, 5581, 1711, 1048, 5471, 1026, 16846, 3587, 1962, 14866, 1235, 2743, 1009, 2438, 78, 2095, 19, 1203, 1954, 5145, 19, 8185, 9187, 19, 1203, 31539, 4547, 1026, 11794, 1010, 3482, 1410, 27522, 22388, 7040, 2612, 1043, 1487, 8696, 1048, 1624, 5706, 1365, 1026, 2438, 2807, 1100, 1026, 1080, 1265, 18, 1026, 7085, 1672, 1005, 1026, 1048, 1184, 2549, 1114, 4953, 1009, 5714, 3662, 1048, 7289, 16520, 1049, 2752, 9356, 1305, 1015, 13821, 1024, 1734, 2776, 1916, 3730, 1140, 2423, 5810, 1009, 1044, 23560, 14309, 1069, 1009, 2453, 1060, 4953, 1005, 22986, 1043, 1989, 10359, 1406, 7845, 5806, 1048, 6066, 32, 4032, 20272, 1848, 4249, 1114, 3902, 1118, 6753, 72, 1074, 3194, 5157, 1118, 22684, 1436, 26180, 16205, 1118, 3469, 1726, 2688, 1132, 3794, 20747, 1160, 1826, 17822, 1166, 2855, 1, 2800, 6180, 1043, 3978, 3472, 1573, 37, 1175, 4429, 1140, 5296, 1321, 26398, 7222, 6180, 1043, 3978, 3472, 1573, 8057, 4132, 1005, 1006, 5353, 7616 ]

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

[ 1620, 6787, 5587, 1834, 1005, 1359, 20, 4438, 1044, 1934, 2274, 1096, 1184, 1049, 1048, 1094, 6280, 8580, 5330, 1, 2800, 4347, 1322, 3248, 1043, 1124, 3978, 1175, 4285, 13602, 1072, 4831, 152, 5, 2708, 1009, 2436, 1009, 4152, 1844, 1009, 2992, 1009, 4229, 3512, 17805, 2103, 4285, 2184, 54, 23861, 2404, 1283, 4285, 13602, 17888, 6741, 4327, 1096, 9468, 1324, 1096, 1493, 14028, 1479, 1044, 2568, 1009, 31655, 3135, 2421, 2652, 1084, 1043, 1124, 3978, 1160, 1096, 3630, 7, 5575, 1685, 1371, 2306, 15309, 1048, 4088, 2598, 14073, 1202, 4347, 1009, 19238, 1138, 3372, 1009, 4499, 16838, 1072, 2403, 1138, 8537, 31332, 6229, 20, 2494, 3364, 1187, 13381, 1132, 1025, 1097, 3342, 1795, 1046, 1132, 9388, 14325, 1138, 10722, 1810, 14485, 85, 4082, 1224, 4809, 1072, 2738, 1060, 16234, 2034, 1652, 9070, 5045, 1126, 1006, 30352, 1498, 75, 1005, 1006, 1063, 7740, 1160, 1225, 27396, 1766, 12001, 1160, 3634, 13101, 1048, 1124, 3978, 13589, 6180, 1043, 7653, 1915, 15379, 1159, 1006, 5946, 1005, 1006, 3248, 3915, 2869, 1233, 3248, 1009, 1702, 1935, 5328, 3271, 4958, 1206, 1044, 8574, 1009, 22038, 1160, 10894, 2009, 3392, 1124, 3978, 11729, 1054, 6890, 11713, 1016, 1206, 3503, 3958, 1048, 4088, 1327, 1493, 6828, 1068, 14046, 2652, 1766, 12001, 1327, 1132, 8639, 1118, 9202, 1048, 1006, 3248, 1381, 1751, 1049, 8566, 3888, 1060, 5297, 1927, 1043, 1094, 6924, 12908, 1233, 5293, 1049, 9001, 1667, 7766, 1132, 5492, 2864, 3260, 18409, 1006, 6117, 1160, 13780, 1006, 16051, 1009, 3248, 1159, 2637, 29983, 1005, 18648, 5151, 18210, 9528, 1592, 4682, 1096, 3654, 1178, 9143, 1471, 1043, 9475, 3754, 1927, 1006, 24423, 3782, 1096, 6740, 15345, 1592, 1493, 26913, 1006, 6117, 1096, 4310, 1009, 10541, 1132, 4090, 9468, 1018, 1005, 1006, 5042, 1049, 8393, 1054, 2573, 1479, 1687, 6347, 1048, 2637, 5140, 20, 2656, 1058, 1976, 6867, 1130, 1322, 18, 1206, 6910, 1870, 1006, 3248, 1479, 10894, 6242, 1048, 1006, 3271, 3833, 3022, 1048, 1160, 8285, 1184, 2307, 19964, 1309, 1048, 1927, 8285, 1054, 3794, 14675, 1005, 3442, 1368, 11821, 1766, 12001, 1693, 28261, 1114, 3349, 1187, 5089, 1479, 1989, 5762, 24201, 1048, 1096, 8937, 19883, 9468, 2223, 4116, 6242, 1068, 1006, 6117, 1322, 1006, 3248, 1009, 1855, 4028, 1096, 2512, 4347, 1271, 9702, 2691, 2688, 1006, 3248, 5140, 13046, 12013, 31973, 22813, 12879, 7088, 1565, 2013, 27257, 1519, 2997, 1502, 1100, 1005, 3182, 1068, 1006, 6117, 1663, 8155, 1005, 4347, 1322, 1569, 26984, 1242, 1005, 23863, 4355, 12592, 1048, 1026, 1050, 1220, 169, 1195, 1663, 1094, 4680, 5099, 1206, 1048, 1006, 6059, 1034, 7474, 1379, 1206, 15491, 3205, 1160, 1096, 9279, 2340, 1006, 6117, 18867, 1006, 4480, 1616, 7349, 85, 5768, 1060, 10421, 8, 1005, 1298, 6141, 30927, 2306, 2155, 12212, 1160, 2922, 1184, 33, 1006, 3248, 1096, 2649, 1248, 1519, 1005, 1006, 3271, 1298, 7266, 1024, 1206, 1495, 5184, 1006, 1261, 5832, 1009, 7474, 8607, 1505, 1184, 4417, 1048, 4473, 10894, 2071, 1006, 5133, 12665, 2340, 1006, 6117, 3135, 12746, 1048, 1989, 1096, 1044, 6502, 1048, 1381, 1751, 1060, 8150, 3316, 3593, 1871, 1009, 9202, 1006, 3248, 1068, 4088, 1096, 5172, 1124, 6831, 1159, 2991, 0, 4088, 1318, 4274, 3982, 3412, 3982, 1005, 3833, 83, 10806, 6117, 1318, 2155, 4125, 2691, 6982, 1049, 31655, 0, 1298, 4125, 1356, 2568, 1009, 1915, 1112, 2441, 4255, 1160, 5140, 11179, 1298, 4877, 20340, 1071, 5312, 25266, 1229, 12979, 24214, 3971, 1009, 2776, 1100, 3971, 1009, 19516, 18, 3971, 1206, 12995, 1009, 22670, 1459, 1349, 1261, 1026, 9151, 1009, 9468, 7253, 1048, 18450, 1006, 31103, 1024, 2122, 2425, 2154, 1005, 2990, 1053, 4537, 1233, 4415, 1060, 17164, 1533, 6117, 1976, 6098, 1187, 27388, 1009, 7530, 1071, 1267, 23523, 17407, 2586, 22195, 1112, 15, 1058, 4626, 3144, 2013, 3654, 9202, 1044, 2574, 1068, 1687, 1159, 1327, 3530, 22021, 1159, 1857, 2133, 5984, 1005, 1808, 8357, 11157, 1058, 2572, 1848, 1206, 15893, 1603, 1687, 16766, 1118, 1848, 18, 10801, 1213, 1235, 6079, 14199, 1044, 5875, 18, 1309, 1058, 1687, 9578, 1848, 3702, 1996, 1049, 6781, 3599, 23974, 1603, 1687, 1160, 9578, 1848, 18, 1096, 6740, 27832, 8357, 1005, 1160, 6052, 8357, 1118, 9282, 1551, 2073, 5521, 1096, 7296, 2837, 27388, 1043, 1132, 6941, 32, 1663, 6100, 1229, 5522, 1094, 1429, 2528, 27894, 1044, 4447, 1027, 0, 1702, 7355, 1048, 7181, 5239, 1068, 9475, 1005, 1048, 14937, 4797, 1094, 12215, 1236, 1043, 1712, 1572, 1013, 1410, 1131, 14765, 13605, 1060, 6117, 1043, 1006, 3248, 1096, 28235, 5336, 2246, 1124, 6978, 1009, 5943, 1826, 18431, 1213, 4758, 1009, 2073, 1178, 18404, 12027, 1060, 1224, 5293, 2855, 12269, 1685, 1082, 2703, 1810, 1, 10330, 1479, 24212, 1049, 1561, 3008, 1089, 3853, 71, 11683, 1079, 1124, 6444, 1009, 17790, 1054, 2220, 1026, 2497, 1049, 2293, 20, 2034, 11414, 1041, 6238, 3586, 17073, 1016, 2271, 1578, 1009, 3261, 3121, 1233, 7967, 1060, 1023, 11441, 22346, 7509, 3041, 1195, 8744, 1044, 15135, 4408, 6434, 1054, 3957, 1043, 1006, 4572, 1896, 1009, 2956, 1009, 14193, 1118, 2191, 1060, 3845, 18766, 1272, 1009, 27693, 4833, 8194, 1068, 1044, 5606, 7079, 1060, 7038, 7863, 1, 15611, 5508, 1140, 1006, 1101, 1009, 9350, 1009, 13656, 1356, 8843, 1180, 6844, 1051, 7619, 1171, 5343, 1006, 14059, 22361, 54, 5021, 12606, 1058, 9038, 1159, 1094, 2451, 1009, 1429, 1127, 7479, 6607, 2491, 1140, 1068, 1006, 6894, 1009, 3195, 1744, 1363, 4013, 4124, 18692, 1043, 4599, 1114, 4149, 1059, 1255, 0, 1021, 5060, 1161, 1009, 18665, 1271, 6000, 1043, 2617, 1589, 1009, 23132, 25312, 0, 1296, 2150, 3857, 1009, 8697, 25332, 10794, 1148, 1068, 1124, 6000, 1072, 6790, 3133, 16632, 7035, 1006, 4339, 5423, 1322, 23420, 12427, 1065, 1779, 2464, 5219, 11829, 1060, 7388, 1214, 15270, 3426, 5392, 150, 1318, 1068, 1026, 7822, 1005, 16263, 10227, 20, 3423, 1271, 3606, 8790, 1273, 4504, 1412, 1318, 1026, 5875, 1213, 15741, 1205, 56, 5754, 1657, 1054, 15025, 20115, 10343, 1068, 1026, 7044, 1704, 2666, 2364, 2177, 3509, 1009, 23420, 12427, 1065, 18264, 7070, 2401, 1431, 81, 28388, 1005, 1026, 11829, 1195, 4949, 1118, 2191, 1009, 1044, 2017, 22239, 1048, 1299, 1298, 14536, 4109, 11402, 1103, 10783, 79, 8798, 3398, 7847, 1068, 1456, 2523, 9463, 3669, 6206, 1356, 1908, 1175, 6667, 7516, 4978, 13896, 6667, 7516, 4978, 13896, 2856, 19550, 10783, 79, 8798, 3398, 7847, 1068, 1456, 2523, 9463, 3669, 6206, 1356, 1908, 2995, 1506, 1069, 1463, 11504, 12295, 1005, 1114, 25843, 1049, 3472, 1100, 1006, 19550, 10783, 79, 15611, 1009, 18261, 2686, 1248, 8798, 3068, 3757, 1044, 2017, 3609, 1068, 1752, 1044, 1009, 1456, 21770, 1916, 1424, 6920, 12926, 1005, 1184, 7395, 5129, 1132, 5015, 9870, 3177, 1006, 12439, 20585, 1005, 8897, 8290, 2266, 1187, 24282, 1009, 1871, 4445, 1005, 1788, 4773, 2904, 1241, 1270, 1009, 23248, 7943, 1005, 29952, 1211, 13233, 17842, 1049, 3311, 1009, 5618, 1495, 1026, 2386, 1206, 5980, 4626, 2166, 1006, 2360, 6808, 1096, 1184, 1094, 4633, 1009, 2266, 1322, 1132, 3140, 1049, 13346, 3669, 8905, 1766, 4209, 1620, 1693, 12350, 1571, 1068, 1202, 1235, 18075, 12409, 1024, 1456, 4203, 7893, 3607, 5808, 8416, 1118, 2191, 1271, 4928, 10349, 2837, 1235, 7346, 1005, 12116, 1456, 12439, 19353, 1068, 4305, 25690, 12082, 1009, 2303, 1043, 1569, 12972, 4578, 1132, 5617, 2650, 1060, 24452, 1026, 2017, 3609, 3312, 1044, 3462, 8553, 1009, 3239, 1068, 24133, 2528, 1094, 2236, 15258, 1043, 6417, 1009, 1094, 14349, 1029, 30232, 1364, 1005, 12439, 20585, 1048, 31983, 1009, 24452, 1064, 29722, 4518, 18, 18280, 31251, 11618, 1223, 1930, 1365, 1734, 1225, 1273, 18600, 1054, 2224, 4861, 1916, 1, 1106, 16524, 89, 1152, 9598, 1175, 8658, 1049, 1205, 24936, 32, 5495, 12193, 1047, 4597, 7341, 27528, 19806, 1024, 13786, 21450, 1175, 2322, 10714, 9521, 5168, 5765, 1049, 1205, 24936, 32, 5495, 12193, 1047, 4597, 7341, 27528, 19806, 1024, 13786, 21450, 27725, 1009, 9932, 1009, 4229, 1726, 14115, 5003, 1505, 32, 1205, 17887, 12113, 2135, 1106, 16524, 89, 1505, 32, 2231, 79, 1279, 1014, 5751, 1559, 1491, 13386, 1605, 6615, 15630, 6285, 2645, 13986, 9923, 1048, 1026, 29496, 1049, 1205, 24936, 1655, 60, 75, 2660, 2152, 1167, 1322, 5647, 12353, 67, 1049, 5495, 12193, 1047, 4834, 1150, 18242, 2744, 1009, 7284, 8008, 1058, 4219, 3330, 1357, 5495, 8049, 1685, 2100, 1766, 4972, 1049, 2017, 19999, 1596, 14579, 1006, 16905, 1009, 19193, 1072, 18251, 1144, 4080, 1060, 21360, 1114, 3232, 2429, 9307, 2149, 6456, 1533, 3023, 3011, 2166, 2277, 1026, 6680, 1049, 8346, 4547, 10012, 1470, 3182, 1068, 1044, 7341, 27528, 19806, 1024, 3301, 6201, 1616, 1006, 4169, 1009, 3647, 1026, 1211, 7295, 3633, 1049, 8994, 20, 2773, 75, 1026, 1211, 7295, 1049, 8994, 18, 1309, 3904, 3011, 1599, 2697, 10939, 1043, 1006, 3919, 16685, 1060, 4668, 1068, 1006, 9829, 8233, 6698, 10514, 2693, 2122, 6116, 1009, 7276, 1068, 1006, 3649, 1009, 1044, 8703, 17848, 16390, 13786, 16534, 1048, 2177, 1094, 2236, 1009, 29473, 1213, 4113, 1049, 5495, 12193, 1047, 8, 6843, 2304, 6285, 1318, 8990, 1792, 1048, 1026, 17982, 13320, 18124, 1009, 7970, 31292, 2453, 1187, 20513, 1005, 1463, 10900, 10948, 2220, 3775, 3727, 1090, 6481, 1386, 1435, 1060, 9114, 1009, 1764, 26280, 1054, 4499, 1121, 21241, 9454, 1213, 13016, 1005, 1233, 6500, 1049, 18824, 14831, 3826, 1479, 1006, 2323, 1009, 1094, 2618, 1048, 4054, 150, 1357, 8836, 1955, 11851, 2904, 1140, 4250, 5823, 2277, 1026, 1960, 3858, 2177, 10105, 1118, 2125, 20513, 1043, 4008, 1009, 7304, 12774, 9368, 1009, 1094, 3964, 16991, 1138, 10063, 6571, 1365, 1752, 8902, 7412, 1178, 1009, 2125, 4686, 1005, 2191, 20, 1, 7515, 7128, 1224, 20805, 1068, 1006, 1542, 9152, 12461, 7, 1175, 10097, 1542, 9152, 1691, 30724, 4, 630, 1204, 10148, 9521, 29900, 7128, 1224, 20805, 1068, 1006, 1542, 9152, 12461, 7, 6416, 1027, 13519, 1124, 10928, 1068, 1006, 1307, 0, 3536, 1060, 1542, 9152, 12461, 18, 5173, 1048, 2501, 1665, 1124, 2625, 26736, 1009, 7483, 5262, 1072, 3099, 1005, 3354, 5892, 1124, 3460, 1890, 1006, 16283, 4594, 1049, 20649, 2794, 3083, 1349, 1712, 3366, 4011, 1049, 29221, 1048, 5934, 1009, 1158, 1006, 3295, 1009, 12673, 1054, 10055, 10334, 3306, 45, 3377, 42, 13108, 1236, 1054, 2156, 4072, 18676, 1006, 1944, 9165, 1114, 10469, 1005, 12054, 1271, 26736, 1068, 1006, 10562, 28735, 5304, 29371, 2247, 1060, 1542, 2181, 1100, 19900, 11988, 9556, 1463, 3905, 1049, 7483, 1005, 1049, 3725, 1068, 12116, 1124, 1158, 26736, 1048, 29471, 1141, 5084, 1294, 2125, 2250, 1009, 3366, 15017, 6224, 1026, 11273, 4114, 20, 2494, 2750, 28764, 1006, 2323, 1060, 3696, 1009, 1204, 1009, 3113, 14278, 1531, 1996, 1060, 26170, 5184, 1349, 3775, 4434, 1312, 1124, 5795, 1271, 1158, 26736, 1072, 9891, 1060, 1542, 9152, 15687, 8303, 1291, 1018, 9152, 1565, 1063, 9924, 2177, 4661, 1118, 1064, 2145, 1018, 1495, 1026, 1531, 1204, 1009, 29571, 1138, 3435, 1060, 20805, 17355, 2177, 16691, 1072, 1531, 1158, 1009, 3049, 3482, 1014, 1027, 3599, 1907, 26736, 1009, 7483, 1071, 9231, 1627, 3073, 17032, 1638, 175, 1267, 1349, 1502, 74, 17105, 13484, 1004, 13945, 25222, 1546, 75, 1005, 24358, 26321, 1603, 3194, 1079, 37, 11232, 2307, 1068, 6811, 1026, 25281, 1005, 1006, 30647, 1009, 10469, 20, 1138, 5633, 1068, 6098, 1096, 1495, 2595, 1009, 3268, 7, 1, 9220, 5468, 1060, 2900, 2309, 11307, 1048, 2476, 9329, 1046, 1184, 1213, 4249, 1005, 1118, 9040, 2625, 1406, 7312, 1026, 17248, 26803, 8052, 1164, 1561, 1322, 1026, 2017, 11543, 1049, 1235, 2743, 7158, 19613, 2505, 1063, 1313, 24479, 8905, 2430, 1399, 1069, 1043, 4339, 5423, 1356, 1128, 46, 9835, 6806, 18563, 27522, 22388, 7040, 4214, 1006, 6559, 1049, 6035, 1072, 12134, 52, 55, 19197, 1005, 1096, 1318, 1026, 1831, 2011, 1060, 1064, 4876, 1048, 1160, 7514, 1271, 6000, 1009, 1235, 1049, 14907, 8271, 1005, 14178, 10660, 5045, 1321, 1104, 5581, 1711, 1048, 5471, 1026, 16846, 3587, 1962, 14866, 1235, 2743, 1009, 2438, 78, 2095, 19, 1203, 1954, 5145, 19, 8185, 9187, 19, 1203, 31539, 4547, 1026, 11794, 1010, 3482, 1410, 27522, 22388, 7040, 2612, 1043, 1487, 8696, 1048, 1624, 5706, 1365, 1026, 2438, 2807, 1100, 1026, 1080, 1265, 18, 1026, 7085, 1672, 1005, 1026, 1048, 1184, 2549, 1114, 4953, 1009, 5714, 3662, 1048, 7289, 16520, 1049, 2752, 9356, 1305, 1015, 13821, 1024, 1734, 2776, 1916, 3730, 1140, 2423, 5810, 1009, 1044, 23560, 14309, 1069, 1009, 2453, 1060, 4953, 1005, 22986, 1043, 1989, 10359, 1406, 7845, 5806, 1048, 6066, 32, 4032, 20272, 1848, 4249, 1114, 3902, 1118, 6753, 72, 1074, 3194, 5157, 1118, 22684, 1436, 26180, 16205, 1118, 3469, 1726, 2688, 1132, 3794, 20747, 1160, 1826, 17822, 1166, 2855, 1, 2800, 6180, 1043, 3978, 3472, 1573, 37, 1175, 4429, 1140, 5296, 1321, 26398, 7222, 6180, 1043, 3978, 3472, 1573, 8057, 4132, 1005, 1006, 5353, 7616 ]

[ 5102, 13186, 1843, 1208, 1009, 2128, 1646, 23259, 1054, 11401, 1356, 23877, 10974, 6519, 91, 2652, 675, 1063, 3865, 1195, 6940, 1713, 1054, 4864, 1005, 6082, 1195, 8160, 1188, 1113, 19986, 8326, 1009, 21107, 1118, 1224, 5326, 13083, 1132, 9200, 3122, 2585, 22602, 83, 1044, 3129, 2939, 21860, 21945, 1157, 1124, 3540, 1057, 2181, 2897, 6322, 5048, 1764, 25226, 3881, 1018, 2585, 1048, 12793, 1009, 2596, 1006, 9164, 1094, 7059, 4345, 20239, 1054, 2869, 1679, 16131, 13186, 1843, 1208, 20, 2346, 1182, 12859, 1114, 3649, 1060, 3289, 1009, 1044, 21594, 25489, 1252, 1192, 1599, 1048, 1566, 1058, 1650, 1052, 3707, 1072, 14125, 32, 1169, 1517, 3478, 28418, 8409, 23325, 6896, 85, 1005, 1080, 159, 72, 2270, 4116, 1592, 4248, 5746, 5101, 1046, 5729, 1159, 1006, 1150, 23623, 3267, 1406, 1026, 3282, 1060, 4336, 10206, 1005, 1060, 4716, 1060, 2935, 5968, 1020, 1157, 1455, 1075, 2435, 1026, 5832, 1114, 17224, 1026, 14267, 13410, 1046, 1060, 9705, 1365, 1026, 4241, 21594, 13186, 1843, 1208, 1005, 675, 8022, 2373, 1363, 4309, 1573, 4324, 1159, 1118, 3018, 16602, 1054, 2350, 17827, 6184, 1060, 8324, 2386, 32, 31612, 11931, 1876, 1198, 5683, 1843, 1056, 4624, 626, 33, 25123, 5415, 4390, 1068, 1920, 81, 1010, 26477, 13678, 2373, 5182, 6474, 1396, 1236, 4100, 1034, 22881, 13186, 1843, 1208, 2752, 1241, 1065, 1291, 626, 33, 2373, 44, 91, 15468, 26477, 1661, 1018, 1341, 2223, 7698, 85, 1048, 2776, 1009, 4062, 2343, 1517, 1021, 3013, 5683, 27239, 3936, 1029, 1108, 1066, 8226, 1067, 4852, 1371, 14644, 1009, 8119, 2176, 1271, 8879, 1043, 4440, 1159, 1026, 29542, 2722, 1124, 1134, 2053, 6540, 1026, 24600, 1471, 1142, 19802, 85, 3818, 2310, 1537, 3292, 79, 1628, 1221, 5244, 81, 1203, 91, 5921, 5, 13804, 13186, 1843, 1208, 3584, 11134, 1142, 1731, 1295, 2645, 1065, 1165, 4391, 1308, 4341, 1095, 2359, 13186, 1843, 1208, 1175, 1134, 5725, 3673, 1520, 5, 19984, 1322, 1006, 2343, 1517, 1021, 3013, 5683, 27239, 4735, 1108, 1066, 19386, 3951, 1308, 2373, 48, 91, 1259, 1010, 1009, 1172, 2253, 626, 1054, 1216, 2024, 1074, 6901, 1843, 1208, 3258, 16026, 17107, 3646, 1144, 117, 3646, 1083, 0, 14299, 4127, 1110, 10640, 20132, 12568, 1049, 14125, 1576, 20132, 12568, 1060, 8890, 12287, 1060, 10870, 1271, 9103, 1005, 1073, 20132, 2656, 19407, 1166, 1, 4429, 1032, 3716, 23206, 4156, 1392, 675, 4519, 6124, 3462, 32, 15158, 1253, 17007, 28126, 1096, 1094, 2700, 1009, 4106, 13336, 3139, 6754, 1118, 23490, 4872, 1253, 25239, 1005, 7806, 6161, 7429, 7982, 1072, 1561, 2691, 24235, 1170, 17403, 8946, 1525, 2170, 1184, 6849, 1180, 1258, 169, 27237, 2339, 1005, 1054, 8258, 1357, 28789, 2462, 2005, 1879, 1831, 7423, 1060, 2700, 1195, 6342, 1357, 1073, 13252, 1021, 15598, 1468, 5546, 15, 1054, 13656, 33, 1184, 6849, 1132, 3997, 1322, 1006, 2700, 8651, 1287, 3500, 1357, 1313, 1127, 21683, 9942, 1678, 1054, 23590, 11387, 11533, 1006, 2700, 1058, 9847, 1118, 5924, 3974, 1009, 1123, 54, 11880, 1043, 2739, 1271, 30933, 13522, 1006, 24594, 1048, 4767, 3165, 1094, 8045, 22775, 1048, 1299, 1096, 1026, 15877, 11021, 1063, 3364, 1187, 7268, 1516, 1009, 8048, 1411, 3702, 1318, 21711, 4106, 1043, 1132, 14236, 10759, 27806, 9263, 1241, 3369, 22334, 1221, 1005, 26521, 2048, 168, 3158, 1063, 14825, 1060, 2700, 4715, 1233, 4173, 1009, 2539, 16545, 5494, 1159, 1251, 2679, 4491, 2106, 3538, 1009, 26266, 3478, 5061, 1009, 1123, 54, 11880, 2649, 5430, 17495, 1005, 16389, 80, 3139, 2378, 26499, 1467, 2700, 1195, 6754, 2309, 26441, 7806, 11617, 12334, 14378, 1130, 1043, 7806, 6161, 7429, 5414, 16665, 1049, 2380, 1163, 6767, 54, 6822, 3702, 1989, 1318, 3241, 4823, 2125, 4106, 1068, 1006, 2700, 15, 675, 1005, 23490, 4872, 1253, 1042, 8920, 1023, 27089, 1544, 1060, 20229, 29206, 7971, 18, 1048, 6011, 1006, 4840, 1009, 2837, 1044, 3066, 13336, 17635, 5937, 1077, 1026, 6502, 1009, 24485, 1043, 1132, 4106, 1788, 10153, 1566, 11041, 1114, 15816, 14176, 4840, 31637, 1124, 4429, 1032, 3716, 23206, 4156, 1392, 4015, 3626, 1253, 17007, 2196, 1072, 3462, 1565, 1063, 20229, 29206, 7971, 1195, 8916, 1054, 13912, 1159, 1094, 2451, 1009, 3538, 1009, 26266, 1243, 1005, 1048, 1054, 24665, 1058, 4312, 1006, 12948, 12889, 1009, 20627, 1909, 3020, 1283, 18897, 89, 2286, 3383, 1009, 21440, 1138, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1836, 1463, 1862, 1007, 23492, 2170, 1054, 10486, 18070, 1124, 1158, 1910, 11925, 1060, 7930, 2051, 1566, 5588, 2281, 2518, 7823, 1776, 1901, 7715, 1596, 14182, 1063, 14625, 1623, 1049, 4611, 1010, 1005, 1063, 24942, 1060, 13038, 1237, 5823, 1005, 2276, 1006, 7528, 1566, 1058, 13005, 1792, 1159, 1807, 17027, 5845, 24953, 2864, 3398, 4106, 13336, 3139, 12334, 1657, 1009, 13460, 1060, 7779, 15, 1596, 14182, 1098, 10306, 15493, 1278, 1495, 2464, 19151, 1026, 1235, 2285, 1487, 2534, 1986, 6931, 1006, 4214, 1009, 21504, 3498, 17958, 1005, 9501, 1184, 1009, 1984, 2744, 1009, 7063, 4065, 1006, 2700, 1195, 8234, 3567, 2034, 15079, 22981, 3589, 6021, 1566, 7444, 2281, 18503, 1054, 3295, 3825, 1175, 1365, 1857, 32, 24701, 18078, 1005, 20634, 14077, 11617, 1318, 5444, 1094, 2700, 16055, 4852, 1009, 2848, 5314, 18040, 9522, 30643, 1392, 7, 57, 1017, 2219, 95, 7, 2286, 11401, 1006, 12948, 12889, 1313, 1127, 1528, 9942, 89, 31940, 5233, 1006, 5127, 2762, 7929, 5986, 3606, 11012, 1187, 15093, 1043, 30933, 1005, 26024, 2625, 1271, 9814, 10583, 2544, 1467, 3023, 1516, 7155, 1233, 1060, 2700, 3807, 89, 24115, 1224, 4429, 20282, 1406, 1970, 5780, 1357, 2611, 1047, 21496, 1072, 3878, 1571, 1026, 11881, 26983, 1393, 1026, 4575, 2751, 1060, 16234, 1138, 11881, 11217, 11509, 1006, 2042, 1495, 1048, 1026, 3066, 1026, 1884, 1580, 1117, 1006, 1663, 1094, 5342, 20, 8886, 5342, 2232, 1046, 1328, 1589, 1026, 11881, 1006, 1094, 3922, 3630, 1571, 1006, 2042, 19454, 1009, 2303, 1043, 1006, 5342, 4661, 1356, 11881, 20, 1063, 2751, 5267, 1365, 1124, 2156, 11253, 1096, 1048, 1054, 2088, 4106, 1060, 2700, 4429, 1032, 3716, 23206, 4156, 1392, 2284, 1094, 6962, 21873, 1571, 1026, 11881, 1901, 1076, 1589, 1124, 5625, 1049, 28354, 1159, 1054, 1044, 2666, 1009, 24485, 20, 1084, 1124, 12697, 1318, 2829, 3739, 1580, 1043, 1026, 4711, 1009, 1858, 2474, 12152, 1467, 1712, 1751, 1187, 4106, 1009, 4429, 1032, 3716, 23206, 4156, 1392, 2755, 1072, 1784, 1768, 2299, 1009, 13475, 4358, 1847, 1048, 12234, 1187, 16681, 7268, 12951, 1327, 11627, 4666, 6490, 1009, 4600, 20, 2800, 1054, 2653, 18148, 1009, 16077, 9370, 1054, 1123, 54, 11880, 13475, 1056, 10386, 3441, 1278, 1233, 5253, 12870, 1672, 1043, 1006, 16723, 1009, 3928, 1411, 25948, 1209, 1005, 4320, 24543, 15018, 7435, 5817, 5199, 8473, 13475, 1056, 9165, 1054, 2125, 8641, 1452, 32, 6014, 3297, 1411, 15384, 1075, 1005, 1026, 4819, 23076, 20, 23509, 2281, 14909, 1679, 6734, 1213, 2729, 1187, 4106, 13336, 1185, 1229, 1006, 2042, 27489, 1140, 1005, 1118, 2624, 16268, 15887, 1049, 6490, 1195, 3332, 1236, 1005, 5623, 1072, 3066, 13475, 1056, 32, 1138, 4819, 1009, 4429, 1032, 3716, 23206, 4156, 3589, 1009, 11233, 17095, 8901, 12768, 1072, 1561, 1357, 17403, 8946, 1525, 1759, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 1467, 14625, 1623, 1049, 4611, 1010, 1605, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1467, 24942, 1060, 13038, 1237, 1346, 1467, 7022, 1187, 1142, 21867, 1605, 3270, 1182, 1079, 1370, 1060, 20798, 1467, 24394, 27213, 2561, 1267, 5343, 1605, 25587, 1049, 4789, 4309, 6174, 2346, 2183, 1009, 1344, 1095, 2048, 1691, 7498, 1009, 4833, 2934, 20281, 1035, 5714, 1069, 1043, 1082, 1611, 4752, 2338, 2098, 82, 2344, 1076, 11967, 1045, 1131, 2503, 1040, 15349, 1271, 5945, 13453, 10292, 1467, 12465, 86, 1076, 1049, 1205, 2961, 2060, 3141, 1193, 169, 18990, 5168, 1589, 1187, 15243, 1605, 15971, 2767, 1271, 1338, 3569, 6174, 19869, 13896, 1060, 2552, 1041, 1031, 1239, 1060, 5927, 1167, 1467, 2538, 1140, 1049, 4948, 1154, 79, 1605, 1142, 10299, 1060, 4247, 1034, 19, 1817, 1459, 1691, 3297, 1027, 1271, 6519, 6561, 1940, 3362, 3036, 1049, 4247, 1136, 1605, 6232, 8647, 152, 1060, 20798, 1940, 16210, 2563, 1187, 6129, 1019, 3340, 1576, 1146, 78, 1102, 1060, 4983, 1189, 5068, 1467, 12465, 86, 1076, 1049, 2552, 1041, 1031, 1243, 8539, 3908, 1478, 1060, 20798, 1383, 4418, 1753, 1010, 1049, 2642, 1876, 1759, 10709, 18851, 4276, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 5, 1134, 18421, 1009, 2677, 4712, 10843, 5, 1138, 21841, 1049, 15971, 2767, 5, 1138, 21841, 1049, 2552, 1041, 1031, 1243, 4276, 6113, 9522, 30643, 1392, 7, 5838, 4669, 1034, 7, 7199, 89, 4143, 6700, 3492, 1046, 91, 2777, 9442, 49, 2705, 158, 1175, 4284, 1187, 1594, 24407, 6174, 19801, 4150, 86, 1452, 19385, 10930, 3476, 1409, 20731, 1071, 3885, 6342, 25424, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 1175, 20804, 1009, 20511, 1605, 1088, 1409, 2186, 18328, 1175, 2741, 4570, 1049, 5296, 5201, 2555, 1041, 1056, 1175, 1138, 4819, 1009, 4429, 1032, 3716, 23206, 4156, 1392, 3141, 14874, 2135, 4429, 1032, 3716, 23206, 4156, 1392, 1175, 3316, 12420, 1679, 1484, 1108, 19, 6749, 1253, 28169, 1605, 2741, 1295, 1348, 1009, 1574, 1052, 2905, 4276, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 24485, 4429, 17691, 2503, 1146, 1909, 2578, 1014, 2995, 22212, 89, 1330, 1467, 2796, 3297, 1034, 1071, 3885, 6342, 25424, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 1175, 31918, 6174, 15971, 1170, 1009, 1128, 5727, 1164, 9714, 2503, 23039, 2701, 1029, 1014, 1175, 1142, 10299, 6441, 1040, 3809, 1759, 5709, 93, 22576, 1071, 3885, 6342, 27917, 6566, 8540, 1060, 4150, 1434, 1213, 1561, 1467, 3270, 1019, 9902, 10812, 8798, 1124, 28894, 1009, 4106, 1060, 2700, 1068, 1026, 7807, 1004, 16988, 7929, 5986, 1054, 7269, 1006, 11322, 1009, 1138, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1005, 1054, 7624, 1006, 11322, 1009, 2034, 19869, 13896, 1060, 2552, 1041, 1031, 1239, 1060, 5927, 6413, 8901, 14182, 1357, 12948, 9288, 5256, 1092, 1348, 3313, 6113, 15158, 1253, 17007, 95, 8334, 1404, 1110, 1138, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 5, 2034, 19869, 13896, 1060, 2552, 1041, 1031, 1239, 1060, 5927, 1167, 10518, 2436, 1009, 4238, 1006, 2700, 4429, 1032, 3716, 23206, 4156, 1392, 2922, 1006, 1178, 8858, 1072, 1908, 1054, 1235, 5203, 3462, 1009, 3066, 13336, 17635, 2364, 1357, 10812, 1180, 1258, 169, 1005, 1043, 1026, 3479, 14419, 15158, 1253, 17007, 95, 17126, 11012, 3939, 1005, 2595, 1060, 5623, 18897, 1067, 3451, 1870, 7217, 1124, 6264, 1068, 15079, 1054, 13475, 1056, 6934, 1463, 6264, 12951, 1187, 4106, 13336, 3139, 1005, 2301, 1657, 1858, 1009, 4234, 2317, 1400, 1026, 3407, 1096, 1009, 15371, 4648, 1146, 1870, 1048, 8987, 1379, 1006, 2700, 1009, 4106, 13336, 3139, 14182, 1357, 1180, 1258, 169, 24894, 1026, 2803, 1132, 4496, 4106, 1596, 14182, 1357, 12948, 25500, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1467, 14625, 1623, 1049, 4611, 1010, 5, 675, 1063, 2605, 83, 10440, 1060, 20798, 1797, 1199, 1914, 28186, 1416, 1467, 7022, 1187, 1142, 21867, 1467, 12465, 86, 1076, 1049, 2552, 1041, 1031, 1243, 1467, 24348, 1027, 1049, 5296, 5201, 1467, 24942, 1060, 13038, 1237, 1346, 6174, 19869, 13896, 1060, 9073, 11096, 1060, 5927, 1167, 15551, 65, 58, 7613, 1409, 9956, 89, 98, 42, 21058, 1047, 1187, 15243, 20912, 4878, 3908, 1478, 1060, 20798, 56, 1095, 8540, 1233, 4143, 1856, 1009, 29710, 39, 9114, 1049, 8537, 1142, 13278, 1164, 12148, 1331, 1035, 5714, 1069, 1043, 1026, 1082, 1611, 4752, 2338, 1845, 24394, 27213, 2561, 1267, 5343, 39, 2538, 1140, 1049, 4948, 1154, 79, 16111, 1014, 2767, 1271, 1338, 3569, 1138, 25587, 1049, 4789, 4309, 4833, 2934, 1009, 2079, 3471, 1020, 1605, 1476, 1010, 26766, 2948, 1010, 17326, 1343, 1049, 13298, 1020, 14425, 1605, 4284, 1049, 3292, 1477, 1605, 6232, 8647, 152, 1060, 20798, 1467, 1142, 3787, 1009, 2079, 1165, 1017, 1467, 12465, 86, 1076, 1049, 1205, 2961, 2060, 3193, 12690, 1057, 1171, 1887, 6515, 2360, 3374, 1114, 10453, 1005, 10996, 1009, 2088, 5169, 17418, 33, 1026, 8330, 1195, 16225, 1114, 2218, 2094, 1159, 1124, 4601, 1365, 1124, 10694, 1005, 2693, 1224, 2042, 10351, 1494, 17501, 9733, 1302, 1024, 1224, 3374, 1009, 10453, 1006, 2323, 1049, 2285, 8149, 3106, 89, 19869, 13896, 1060, 9073, 11096, 1060, 5927, 1167, 15, 1132, 4496, 4106, 1596, 10498, 1166, 1043, 1006, 2360, 3374, 1060, 10453, 1060, 12948, 1180, 1258, 23801, 18090, 1006, 3388, 11901, 1157, 1992, 1132, 5878, 4106, 25130, 1043, 1006, 10453, 5896, 1377, 11014, 11390, 4272, 1009, 8957, 32, 53, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 39, 14625, 1623, 1049, 4611, 1010, 39, 2605, 83, 10440, 1060, 20798, 39, 7022, 1187, 1142, 21867, 39, 24348, 1027, 1049, 5296, 5201, 1467, 24942, 1060, 13038, 1237, 1346 ]

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

[ 5102, 13186, 1843, 1208, 1009, 2128, 1646, 23259, 1054, 11401, 1356, 23877, 10974, 6519, 91, 2652, 675, 1063, 3865, 1195, 6940, 1713, 1054, 4864, 1005, 6082, 1195, 8160, 1188, 1113, 19986, 8326, 1009, 21107, 1118, 1224, 5326, 13083, 1132, 9200, 3122, 2585, 22602, 83, 1044, 3129, 2939, 21860, 21945, 1157, 1124, 3540, 1057, 2181, 2897, 6322, 5048, 1764, 25226, 3881, 1018, 2585, 1048, 12793, 1009, 2596, 1006, 9164, 1094, 7059, 4345, 20239, 1054, 2869, 1679, 16131, 13186, 1843, 1208, 20, 2346, 1182, 12859, 1114, 3649, 1060, 3289, 1009, 1044, 21594, 25489, 1252, 1192, 1599, 1048, 1566, 1058, 1650, 1052, 3707, 1072, 14125, 32, 1169, 1517, 3478, 28418, 8409, 23325, 6896, 85, 1005, 1080, 159, 72, 2270, 4116, 1592, 4248, 5746, 5101, 1046, 5729, 1159, 1006, 1150, 23623, 3267, 1406, 1026, 3282, 1060, 4336, 10206, 1005, 1060, 4716, 1060, 2935, 5968, 1020, 1157, 1455, 1075, 2435, 1026, 5832, 1114, 17224, 1026, 14267, 13410, 1046, 1060, 9705, 1365, 1026, 4241, 21594, 13186, 1843, 1208, 1005, 675, 8022, 2373, 1363, 4309, 1573, 4324, 1159, 1118, 3018, 16602, 1054, 2350, 17827, 6184, 1060, 8324, 2386, 32, 31612, 11931, 1876, 1198, 5683, 1843, 1056, 4624, 626, 33, 25123, 5415, 4390, 1068, 1920, 81, 1010, 26477, 13678, 2373, 5182, 6474, 1396, 1236, 4100, 1034, 22881, 13186, 1843, 1208, 2752, 1241, 1065, 1291, 626, 33, 2373, 44, 91, 15468, 26477, 1661, 1018, 1341, 2223, 7698, 85, 1048, 2776, 1009, 4062, 2343, 1517, 1021, 3013, 5683, 27239, 3936, 1029, 1108, 1066, 8226, 1067, 4852, 1371, 14644, 1009, 8119, 2176, 1271, 8879, 1043, 4440, 1159, 1026, 29542, 2722, 1124, 1134, 2053, 6540, 1026, 24600, 1471, 1142, 19802, 85, 3818, 2310, 1537, 3292, 79, 1628, 1221, 5244, 81, 1203, 91, 5921, 5, 13804, 13186, 1843, 1208, 3584, 11134, 1142, 1731, 1295, 2645, 1065, 1165, 4391, 1308, 4341, 1095, 2359, 13186, 1843, 1208, 1175, 1134, 5725, 3673, 1520, 5, 19984, 1322, 1006, 2343, 1517, 1021, 3013, 5683, 27239, 4735, 1108, 1066, 19386, 3951, 1308, 2373, 48, 91, 1259, 1010, 1009, 1172, 2253, 626, 1054, 1216, 2024, 1074, 6901, 1843, 1208, 3258, 16026, 17107, 3646, 1144, 117, 3646, 1083, 0, 14299, 4127, 1110, 10640, 20132, 12568, 1049, 14125, 1576, 20132, 12568, 1060, 8890, 12287, 1060, 10870, 1271, 9103, 1005, 1073, 20132, 2656, 19407, 1166, 1, 4429, 1032, 3716, 23206, 4156, 1392, 675, 4519, 6124, 3462, 32, 15158, 1253, 17007, 28126, 1096, 1094, 2700, 1009, 4106, 13336, 3139, 6754, 1118, 23490, 4872, 1253, 25239, 1005, 7806, 6161, 7429, 7982, 1072, 1561, 2691, 24235, 1170, 17403, 8946, 1525, 2170, 1184, 6849, 1180, 1258, 169, 27237, 2339, 1005, 1054, 8258, 1357, 28789, 2462, 2005, 1879, 1831, 7423, 1060, 2700, 1195, 6342, 1357, 1073, 13252, 1021, 15598, 1468, 5546, 15, 1054, 13656, 33, 1184, 6849, 1132, 3997, 1322, 1006, 2700, 8651, 1287, 3500, 1357, 1313, 1127, 21683, 9942, 1678, 1054, 23590, 11387, 11533, 1006, 2700, 1058, 9847, 1118, 5924, 3974, 1009, 1123, 54, 11880, 1043, 2739, 1271, 30933, 13522, 1006, 24594, 1048, 4767, 3165, 1094, 8045, 22775, 1048, 1299, 1096, 1026, 15877, 11021, 1063, 3364, 1187, 7268, 1516, 1009, 8048, 1411, 3702, 1318, 21711, 4106, 1043, 1132, 14236, 10759, 27806, 9263, 1241, 3369, 22334, 1221, 1005, 26521, 2048, 168, 3158, 1063, 14825, 1060, 2700, 4715, 1233, 4173, 1009, 2539, 16545, 5494, 1159, 1251, 2679, 4491, 2106, 3538, 1009, 26266, 3478, 5061, 1009, 1123, 54, 11880, 2649, 5430, 17495, 1005, 16389, 80, 3139, 2378, 26499, 1467, 2700, 1195, 6754, 2309, 26441, 7806, 11617, 12334, 14378, 1130, 1043, 7806, 6161, 7429, 5414, 16665, 1049, 2380, 1163, 6767, 54, 6822, 3702, 1989, 1318, 3241, 4823, 2125, 4106, 1068, 1006, 2700, 15, 675, 1005, 23490, 4872, 1253, 1042, 8920, 1023, 27089, 1544, 1060, 20229, 29206, 7971, 18, 1048, 6011, 1006, 4840, 1009, 2837, 1044, 3066, 13336, 17635, 5937, 1077, 1026, 6502, 1009, 24485, 1043, 1132, 4106, 1788, 10153, 1566, 11041, 1114, 15816, 14176, 4840, 31637, 1124, 4429, 1032, 3716, 23206, 4156, 1392, 4015, 3626, 1253, 17007, 2196, 1072, 3462, 1565, 1063, 20229, 29206, 7971, 1195, 8916, 1054, 13912, 1159, 1094, 2451, 1009, 3538, 1009, 26266, 1243, 1005, 1048, 1054, 24665, 1058, 4312, 1006, 12948, 12889, 1009, 20627, 1909, 3020, 1283, 18897, 89, 2286, 3383, 1009, 21440, 1138, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1836, 1463, 1862, 1007, 23492, 2170, 1054, 10486, 18070, 1124, 1158, 1910, 11925, 1060, 7930, 2051, 1566, 5588, 2281, 2518, 7823, 1776, 1901, 7715, 1596, 14182, 1063, 14625, 1623, 1049, 4611, 1010, 1005, 1063, 24942, 1060, 13038, 1237, 5823, 1005, 2276, 1006, 7528, 1566, 1058, 13005, 1792, 1159, 1807, 17027, 5845, 24953, 2864, 3398, 4106, 13336, 3139, 12334, 1657, 1009, 13460, 1060, 7779, 15, 1596, 14182, 1098, 10306, 15493, 1278, 1495, 2464, 19151, 1026, 1235, 2285, 1487, 2534, 1986, 6931, 1006, 4214, 1009, 21504, 3498, 17958, 1005, 9501, 1184, 1009, 1984, 2744, 1009, 7063, 4065, 1006, 2700, 1195, 8234, 3567, 2034, 15079, 22981, 3589, 6021, 1566, 7444, 2281, 18503, 1054, 3295, 3825, 1175, 1365, 1857, 32, 24701, 18078, 1005, 20634, 14077, 11617, 1318, 5444, 1094, 2700, 16055, 4852, 1009, 2848, 5314, 18040, 9522, 30643, 1392, 7, 57, 1017, 2219, 95, 7, 2286, 11401, 1006, 12948, 12889, 1313, 1127, 1528, 9942, 89, 31940, 5233, 1006, 5127, 2762, 7929, 5986, 3606, 11012, 1187, 15093, 1043, 30933, 1005, 26024, 2625, 1271, 9814, 10583, 2544, 1467, 3023, 1516, 7155, 1233, 1060, 2700, 3807, 89, 24115, 1224, 4429, 20282, 1406, 1970, 5780, 1357, 2611, 1047, 21496, 1072, 3878, 1571, 1026, 11881, 26983, 1393, 1026, 4575, 2751, 1060, 16234, 1138, 11881, 11217, 11509, 1006, 2042, 1495, 1048, 1026, 3066, 1026, 1884, 1580, 1117, 1006, 1663, 1094, 5342, 20, 8886, 5342, 2232, 1046, 1328, 1589, 1026, 11881, 1006, 1094, 3922, 3630, 1571, 1006, 2042, 19454, 1009, 2303, 1043, 1006, 5342, 4661, 1356, 11881, 20, 1063, 2751, 5267, 1365, 1124, 2156, 11253, 1096, 1048, 1054, 2088, 4106, 1060, 2700, 4429, 1032, 3716, 23206, 4156, 1392, 2284, 1094, 6962, 21873, 1571, 1026, 11881, 1901, 1076, 1589, 1124, 5625, 1049, 28354, 1159, 1054, 1044, 2666, 1009, 24485, 20, 1084, 1124, 12697, 1318, 2829, 3739, 1580, 1043, 1026, 4711, 1009, 1858, 2474, 12152, 1467, 1712, 1751, 1187, 4106, 1009, 4429, 1032, 3716, 23206, 4156, 1392, 2755, 1072, 1784, 1768, 2299, 1009, 13475, 4358, 1847, 1048, 12234, 1187, 16681, 7268, 12951, 1327, 11627, 4666, 6490, 1009, 4600, 20, 2800, 1054, 2653, 18148, 1009, 16077, 9370, 1054, 1123, 54, 11880, 13475, 1056, 10386, 3441, 1278, 1233, 5253, 12870, 1672, 1043, 1006, 16723, 1009, 3928, 1411, 25948, 1209, 1005, 4320, 24543, 15018, 7435, 5817, 5199, 8473, 13475, 1056, 9165, 1054, 2125, 8641, 1452, 32, 6014, 3297, 1411, 15384, 1075, 1005, 1026, 4819, 23076, 20, 23509, 2281, 14909, 1679, 6734, 1213, 2729, 1187, 4106, 13336, 1185, 1229, 1006, 2042, 27489, 1140, 1005, 1118, 2624, 16268, 15887, 1049, 6490, 1195, 3332, 1236, 1005, 5623, 1072, 3066, 13475, 1056, 32, 1138, 4819, 1009, 4429, 1032, 3716, 23206, 4156, 3589, 1009, 11233, 17095, 8901, 12768, 1072, 1561, 1357, 17403, 8946, 1525, 1759, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 1467, 14625, 1623, 1049, 4611, 1010, 1605, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1467, 24942, 1060, 13038, 1237, 1346, 1467, 7022, 1187, 1142, 21867, 1605, 3270, 1182, 1079, 1370, 1060, 20798, 1467, 24394, 27213, 2561, 1267, 5343, 1605, 25587, 1049, 4789, 4309, 6174, 2346, 2183, 1009, 1344, 1095, 2048, 1691, 7498, 1009, 4833, 2934, 20281, 1035, 5714, 1069, 1043, 1082, 1611, 4752, 2338, 2098, 82, 2344, 1076, 11967, 1045, 1131, 2503, 1040, 15349, 1271, 5945, 13453, 10292, 1467, 12465, 86, 1076, 1049, 1205, 2961, 2060, 3141, 1193, 169, 18990, 5168, 1589, 1187, 15243, 1605, 15971, 2767, 1271, 1338, 3569, 6174, 19869, 13896, 1060, 2552, 1041, 1031, 1239, 1060, 5927, 1167, 1467, 2538, 1140, 1049, 4948, 1154, 79, 1605, 1142, 10299, 1060, 4247, 1034, 19, 1817, 1459, 1691, 3297, 1027, 1271, 6519, 6561, 1940, 3362, 3036, 1049, 4247, 1136, 1605, 6232, 8647, 152, 1060, 20798, 1940, 16210, 2563, 1187, 6129, 1019, 3340, 1576, 1146, 78, 1102, 1060, 4983, 1189, 5068, 1467, 12465, 86, 1076, 1049, 2552, 1041, 1031, 1243, 8539, 3908, 1478, 1060, 20798, 1383, 4418, 1753, 1010, 1049, 2642, 1876, 1759, 10709, 18851, 4276, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 5, 1134, 18421, 1009, 2677, 4712, 10843, 5, 1138, 21841, 1049, 15971, 2767, 5, 1138, 21841, 1049, 2552, 1041, 1031, 1243, 4276, 6113, 9522, 30643, 1392, 7, 5838, 4669, 1034, 7, 7199, 89, 4143, 6700, 3492, 1046, 91, 2777, 9442, 49, 2705, 158, 1175, 4284, 1187, 1594, 24407, 6174, 19801, 4150, 86, 1452, 19385, 10930, 3476, 1409, 20731, 1071, 3885, 6342, 25424, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 1175, 20804, 1009, 20511, 1605, 1088, 1409, 2186, 18328, 1175, 2741, 4570, 1049, 5296, 5201, 2555, 1041, 1056, 1175, 1138, 4819, 1009, 4429, 1032, 3716, 23206, 4156, 1392, 3141, 14874, 2135, 4429, 1032, 3716, 23206, 4156, 1392, 1175, 3316, 12420, 1679, 1484, 1108, 19, 6749, 1253, 28169, 1605, 2741, 1295, 1348, 1009, 1574, 1052, 2905, 4276, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 24485, 4429, 17691, 2503, 1146, 1909, 2578, 1014, 2995, 22212, 89, 1330, 1467, 2796, 3297, 1034, 1071, 3885, 6342, 25424, 6113, 4429, 1032, 3716, 23206, 4156, 1392, 1175, 31918, 6174, 15971, 1170, 1009, 1128, 5727, 1164, 9714, 2503, 23039, 2701, 1029, 1014, 1175, 1142, 10299, 6441, 1040, 3809, 1759, 5709, 93, 22576, 1071, 3885, 6342, 27917, 6566, 8540, 1060, 4150, 1434, 1213, 1561, 1467, 3270, 1019, 9902, 10812, 8798, 1124, 28894, 1009, 4106, 1060, 2700, 1068, 1026, 7807, 1004, 16988, 7929, 5986, 1054, 7269, 1006, 11322, 1009, 1138, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1005, 1054, 7624, 1006, 11322, 1009, 2034, 19869, 13896, 1060, 2552, 1041, 1031, 1239, 1060, 5927, 6413, 8901, 14182, 1357, 12948, 9288, 5256, 1092, 1348, 3313, 6113, 15158, 1253, 17007, 95, 8334, 1404, 1110, 1138, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 5, 2034, 19869, 13896, 1060, 2552, 1041, 1031, 1239, 1060, 5927, 1167, 10518, 2436, 1009, 4238, 1006, 2700, 4429, 1032, 3716, 23206, 4156, 1392, 2922, 1006, 1178, 8858, 1072, 1908, 1054, 1235, 5203, 3462, 1009, 3066, 13336, 17635, 2364, 1357, 10812, 1180, 1258, 169, 1005, 1043, 1026, 3479, 14419, 15158, 1253, 17007, 95, 17126, 11012, 3939, 1005, 2595, 1060, 5623, 18897, 1067, 3451, 1870, 7217, 1124, 6264, 1068, 15079, 1054, 13475, 1056, 6934, 1463, 6264, 12951, 1187, 4106, 13336, 3139, 1005, 2301, 1657, 1858, 1009, 4234, 2317, 1400, 1026, 3407, 1096, 1009, 15371, 4648, 1146, 1870, 1048, 8987, 1379, 1006, 2700, 1009, 4106, 13336, 3139, 14182, 1357, 1180, 1258, 169, 24894, 1026, 2803, 1132, 4496, 4106, 1596, 14182, 1357, 12948, 25500, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 1467, 14625, 1623, 1049, 4611, 1010, 5, 675, 1063, 2605, 83, 10440, 1060, 20798, 1797, 1199, 1914, 28186, 1416, 1467, 7022, 1187, 1142, 21867, 1467, 12465, 86, 1076, 1049, 2552, 1041, 1031, 1243, 1467, 24348, 1027, 1049, 5296, 5201, 1467, 24942, 1060, 13038, 1237, 1346, 6174, 19869, 13896, 1060, 9073, 11096, 1060, 5927, 1167, 15551, 65, 58, 7613, 1409, 9956, 89, 98, 42, 21058, 1047, 1187, 15243, 20912, 4878, 3908, 1478, 1060, 20798, 56, 1095, 8540, 1233, 4143, 1856, 1009, 29710, 39, 9114, 1049, 8537, 1142, 13278, 1164, 12148, 1331, 1035, 5714, 1069, 1043, 1026, 1082, 1611, 4752, 2338, 1845, 24394, 27213, 2561, 1267, 5343, 39, 2538, 1140, 1049, 4948, 1154, 79, 16111, 1014, 2767, 1271, 1338, 3569, 1138, 25587, 1049, 4789, 4309, 4833, 2934, 1009, 2079, 3471, 1020, 1605, 1476, 1010, 26766, 2948, 1010, 17326, 1343, 1049, 13298, 1020, 14425, 1605, 4284, 1049, 3292, 1477, 1605, 6232, 8647, 152, 1060, 20798, 1467, 1142, 3787, 1009, 2079, 1165, 1017, 1467, 12465, 86, 1076, 1049, 1205, 2961, 2060, 3193, 12690, 1057, 1171, 1887, 6515, 2360, 3374, 1114, 10453, 1005, 10996, 1009, 2088, 5169, 17418, 33, 1026, 8330, 1195, 16225, 1114, 2218, 2094, 1159, 1124, 4601, 1365, 1124, 10694, 1005, 2693, 1224, 2042, 10351, 1494, 17501, 9733, 1302, 1024, 1224, 3374, 1009, 10453, 1006, 2323, 1049, 2285, 8149, 3106, 89, 19869, 13896, 1060, 9073, 11096, 1060, 5927, 1167, 15, 1132, 4496, 4106, 1596, 10498, 1166, 1043, 1006, 2360, 3374, 1060, 10453, 1060, 12948, 1180, 1258, 23801, 18090, 1006, 3388, 11901, 1157, 1992, 1132, 5878, 4106, 25130, 1043, 1006, 10453, 5896, 1377, 11014, 11390, 4272, 1009, 8957, 32, 53, 2552, 1041, 1031, 1243, 1060, 4143, 1856, 1009, 29710, 39, 14625, 1623, 1049, 4611, 1010, 39, 2605, 83, 10440, 1060, 20798, 39, 7022, 1187, 1142, 21867, 39, 24348, 1027, 1049, 5296, 5201, 1467, 24942, 1060, 13038, 1237, 1346 ]

[ 23533, 1463, 17827, 6184, 1118, 5649, 1656, 1048, 1596, 1857, 1048, 6884, 1026, 14316, 1054, 23500, 1043, 1026, 2490, 1009, 6099, 2987, 1048, 1376, 4755, 1054, 1094, 1008, 1885, 1107, 1009, 19752, 19266, 1005, 1044, 5350, 158, 1009, 22840, 23584, 1043, 1044, 4062, 1370, 1009, 1006, 9206, 1068, 2213, 9386, 1006, 22414, 1054, 2618, 1057, 7043, 1972, 15195, 1006, 1224, 3701, 1112, 1857, 6470, 1044, 15799, 1054, 3349, 1679, 16612, 33, 1026, 1150, 1197, 9590, 1185, 1291, 8, 14278, 10451, 15400, 25725, 1349, 4623, 5196, 77, 1599, 5365, 1079, 1026, 15799, 1005, 1026, 9208, 22785, 1221, 1996, 1009, 1261, 2281, 16691, 1048, 1516, 1044, 2208, 1133, 11402, 14374, 2502, 1118, 15527, 1009, 27169, 1054, 6912, 1394, 11498, 10581, 1054, 26729, 13683, 1005, 23395, 3701, 1412, 4207, 1132, 8639, 1118, 1664, 1132, 27169, 7742, 1996, 1009, 12056, 1005, 1118, 1184, 1009, 1360, 27169, 1054, 6912, 1394, 1072, 3041, 1365, 13850, 1005, 11260, 11499, 1077, 1048, 1734, 12722, 27169, 1160, 1596, 7742, 1118, 1857, 15, 10774, 1026, 1235, 11192, 2037, 1132, 1791, 4031, 4944, 9446, 3748, 1044, 15799, 1009, 2706, 20, 5153, 1026, 4868, 8461, 11647, 82, 2212, 28406, 11397, 1164, 23818, 1048, 1857, 18926, 2862, 1202, 1094, 2750, 6697, 1009, 6353, 1009, 6912, 1394, 3555, 1132, 27169, 1054, 6912, 1394, 5334, 3862, 1202, 1068, 1044, 14316, 17072, 1847, 1048, 2364, 11112, 1009, 11397, 1164, 8109, 16475, 1166, 13136, 17354, 1054, 2220, 1026, 1784, 8, 3313, 14974, 20992, 4395, 2323, 1187, 1646, 7693, 1026, 2285, 1005, 1006, 14198, 1271, 25725, 1054, 6912, 1394, 4910, 9334, 2088, 1043, 1495, 2156, 1910, 2625, 5480, 1005, 1048, 6919, 1202, 2350, 5625, 7184, 4275, 1005, 22090, 23432, 8000, 20238, 8999, 1048, 1132, 27169, 1463, 6912, 1394, 1072, 4037, 5546, 1160, 1826, 18600, 8853, 25626, 1118, 2693, 1006, 12435, 20, 5126, 13136, 4236, 1271, 1090, 14636, 1054, 3905, 1009, 7984, 9909, 4612, 1206, 19941, 10947, 1006, 26620, 1049, 12735, 22411, 5494, 1159, 19671, 10243, 1909, 1206, 1063, 1167, 20088, 3965, 1084, 1927, 13136, 1054, 3905, 1048, 1327, 1009, 4445, 3177, 20, 9641, 10863, 12248, 1048, 1132, 27169, 1327, 1184, 4099, 1219, 1010, 1006, 4207, 19043, 1357, 3597, 8606, 31315, 1049, 1048, 1118, 2073, 4751, 1068, 84, 24337, 3942, 3878, 1837, 15527, 1009, 1460, 5555, 82, 1174, 1010, 1054, 6912, 1394, 1009, 27361, 1049, 3821, 1049, 1908, 2271, 7624, 4807, 1072, 5109, 1009, 3584, 6790, 5949, 1776, 3338, 1009, 1156, 86, 2634, 31079, 15527, 1927, 13876, 1365, 1026, 1852, 1049, 3681, 1009, 3268, 1005, 1026, 2738, 1049, 3681, 1009, 29571, 1482, 27971, 1032, 17237, 19690, 5756, 1657, 1044, 17597, 1054, 3268, 1009, 4210, 2474, 3744, 25560, 7177, 18866, 15043, 1322, 1132, 27169, 1463, 6912, 1394, 1096, 1048, 1857, 1327, 17110, 2309, 9471, 6826, 1159, 1670, 2302, 2223, 1138, 3202, 1184, 10035, 3201, 1118, 1094, 3271, 1206, 2417, 1068, 6838, 1094, 4581, 1054, 6912, 1394, 1096, 9441, 1439, 1094, 22287, 1009, 1094, 19266, 1006, 1044, 3311, 1009, 30913, 6177, 1005, 1006, 2924, 1054, 1094, 7810, 1126, 1048, 1096, 5483, 1068, 9467, 13278, 1124, 7156, 1005, 2837, 1026, 10516, 20, 1766, 1011, 9363, 25321, 1046, 1048, 2252, 1124, 5625, 1187, 27169, 1463, 6912, 1394, 1327, 5560, 27659, 1043, 1006, 4008, 22460, 28851, 1391, 2643, 29550, 1048, 1124, 25725, 1184, 23432, 1693, 1178, 4661, 1043, 1006, 3629, 1009, 28398, 1005, 12892, 10793, 1482, 7905, 1044, 1460, 5555, 82, 1174, 85, 1195, 3330, 1213, 2729, 1009, 2125, 17726, 10822, 2897, 1005, 12567, 1195, 14023, 1098, 19870, 1599, 1043, 2088, 27169, 8205, 1212, 6837, 2286, 1235, 3066, 1009, 15203, 2045, 5459, 1081, 8043, 2363, 1148, 74, 5488, 18, 9129, 12241, 1056, 24997, 1048, 1132, 27169, 1463, 6912, 1394, 1596, 13557, 1118, 1106, 8714, 1005, 1574, 1017, 4190, 1005, 1456, 1240, 1041, 1544, 1005, 1579, 1814, 1048, 675, 4536, 12741, 26028, 22074, 1124, 11810, 1009, 1048, 1124, 25725, 1327, 6626, 1118, 6000, 20440, 1068, 1048, 1857, 6326, 5711, 3503, 3958, 1054, 1094, 4599, 4051, 1363, 3109, 1013, 1068, 1124, 25725, 1054, 6912, 28011, 4685, 1566, 1195, 10151, 1069, 1048, 27169, 1463, 6912, 1394, 1493, 16625, 1693, 1178, 13557, 1118, 9913, 1063, 5623, 5377, 1793, 1339, 8724, 9415, 1044, 2859, 1009, 11031, 28413, 12339, 1048, 2845, 1006, 1663, 27169, 1054, 6912, 1394, 1049, 3184, 1060, 5507, 1054, 31427, 2200, 5444, 1322, 1159, 1096, 4445, 6537, 6306, 1048, 9480, 6099, 2987, 1005, 1048, 1693, 8273, 12016, 1024, 1132, 3249, 1544, 18820, 20, 2200, 17554, 1322, 1159, 6768, 1009, 23113, 5240, 1230, 1573, 1406, 1159, 1026, 2045, 11422, 11963, 12369, 84, 1672, 5588, 2281, 12016, 1312, 1005, 4979, 1048, 1124, 1783, 6639, 10218, 1054, 24625, 16603, 4628, 1068, 1132, 23452, 1048, 1620, 1160, 1327, 5174, 3983, 1082, 1575, 3102, 1009, 4173, 1009, 1044, 1460, 4690, 1174, 1100, 19045, 1566, 1826, 1680, 4814, 1166, 1114, 6211, 5044, 23807, 1060, 4599, 15018, 7435, 1577, 1187, 27169, 9344, 1048, 1124, 9262, 1009, 13609, 6819, 1327, 14495, 1009, 15571, 1878, 1698, 1132, 10347, 1051, 1554, 8144, 14110, 1006, 4922, 1754, 1048, 1837, 1094, 6704, 1060, 28433, 2762, 1043, 1132, 12685, 6912, 1157, 17360, 1009, 2318, 1458, 1068, 14378, 1130, 1124, 16090, 1187, 11527, 3085, 1554, 3735, 1026, 6971, 1009, 6644, 4114, 11031, 28413, 4190, 5444, 7896, 20373, 1114, 24672, 1264, 1195, 12700, 1009, 21414, 17358, 1021, 18906, 8, 1005, 1009, 4524, 1068, 1026, 1082, 47, 2400, 1026, 3159, 1009, 8600, 5051, 1049, 4037, 26013, 28413, 4190, 9410, 1048, 2653, 1150, 1197, 9590, 1185, 1573, 8, 2518, 1040, 4106, 1005, 6676, 1046, 19973, 21463, 1009, 3910, 6072, 1054, 6824, 1009, 7910, 4547, 1847, 1048, 1857, 2643, 9200, 13033, 1054, 9934, 1698, 1026, 1048, 1096, 1009, 6794, 1006, 16570, 1184, 11390, 1068, 1132, 27169, 1113, 23092, 3401, 12499, 7650, 16456, 1132, 5162, 23760, 9170, 1163, 2795, 1017, 15038, 2137, 89, 1005, 1123, 168, 10084, 17349, 1229, 5300, 2276, 1043, 2128, 2864, 1596, 1124, 6316, 1783, 1006, 8086, 1094, 3597, 7492, 1118, 2612, 1060, 4173, 1009, 1044, 15799, 1054, 1094, 6912, 3803, 15038, 2137, 89, 1005, 17349, 1229, 4988, 1009, 1094, 4044, 26294, 1114, 18038, 19448, 1054, 11239, 18, 18926, 1044, 1460, 4690, 1174, 85, 1009, 8060, 4722, 1009, 16937, 1054, 1044, 3428, 1009, 27361, 4236, 1009, 30727, 158, 9000, 1546, 78, 1640, 92, 5415, 18, 20782, 2718, 1006, 17066, 1009, 24188, 86, 7277, 1054, 1799, 1009, 3370, 1009, 29718, 1482, 1307, 1009, 11689, 1006, 7779, 7981, 1114, 3546, 23760, 1052, 1005, 3354, 7709, 1048, 1026, 15799, 1516, 1094, 7319, 24951, 10310, 5795, 1049, 3428, 1996, 1005, 1846, 1060, 4581, 1261, 2281, 1642, 9561, 2800, 14097, 1006, 1063, 1368, 95, 81, 1029, 2215, 96, 26209, 18, 1006, 20059, 1060, 2782, 9351, 3163, 1079, 1132, 5162, 1054, 2916, 1009, 1307, 1910, 9697, 1118, 8751, 1554, 1138, 9054, 22378, 1048, 1132, 4988, 2829, 8639, 1657, 2309, 8016, 19043, 11791, 2095, 3266, 11527, 3085, 1100, 1026, 1048, 2521, 1026, 2161, 11506, 1068, 2595, 8069, 4846, 1138, 9054, 26623, 1048, 15312, 11, 1187, 8016, 1726, 6912, 1394, 1596, 19043, 2309, 8471, 1009, 9693, 1048, 20942, 6422, 1068, 30727, 158, 9000, 1546, 78, 1640, 92, 5415, 1986, 1026, 1460, 4690, 1174, 85, 10181, 1114, 7271, 2286, 7693, 26694, 10240, 1058, 4312, 1026, 1831, 2792, 1072, 4037, 5546, 1006, 1178, 7552, 1118, 7907, 8016, 1846, 1009, 1663, 1044, 1460, 4690, 1174, 85, 4236, 1009, 6629, 1127, 1400, 7236, 90, 21086, 20, 1482, 3113, 1009, 7693, 1264, 1195, 3743, 1069, 1054, 18469, 8259, 1005, 1184, 18469, 3949, 1054, 7871, 15968, 1212, 3401, 12940, 5481, 1051, 2214, 4179, 17163, 10940, 16314, 29550, 1048, 1132, 27169, 1463, 6912, 1394, 7937, 1178, 1026, 3435, 1009, 23452, 17163, 10940, 12591, 21693, 1048, 16129, 1009, 23178, 1650, 1166, 1233, 15784, 4999, 11072, 1309, 1160, 1837, 4697, 17360, 1009, 1048, 1664, 1132, 27169, 1463, 6912, 1394, 1327, 13557, 1118, 2350, 11788, 11855, 2286, 8931, 2041, 1044, 17176, 1317, 3858, 3753, 21389, 1613, 30588, 5444, 1094, 6866, 1213, 8497, 1060, 5623, 17322, 1322, 2088, 27169, 1463, 6300, 30642, 1005, 14082, 1079, 10113, 1043, 1094, 11003, 30413, 6909, 1048, 1224, 1871, 1516, 5083, 2507, 1223, 1343, 1009, 3473, 3597, 1049, 9772, 7086, 6720, 21556, 13872, 21639, 5619, 4247, 1019, 3933, 1044, 17163, 21005, 1005, 25662, 19361, 1048, 1132, 27169, 2829, 19043, 1118, 1057, 2881, 85, 3342, 7302, 4288, 1195, 31298, 2691, 27771, 1049, 2709, 1060, 25447, 2800, 1132, 27169, 1058, 9751, 1184, 4370, 1229, 21639, 5619, 2569, 1048, 2837, 12600, 1752, 1472, 1184, 4370, 1273, 14082, 1157, 1044, 13907, 1719, 90, 2238, 1009, 1536, 1016, 1183, 8, 29457, 10257, 2526, 19200, 19074, 1877, 3617, 1063, 6704, 17163, 8175, 5749, 20726, 1005, 1195, 1495, 19956, 3234, 1054, 11260, 1356, 9757, 17173, 14551, 15909, 1048, 1973, 2464, 25621, 27169, 1463, 6912, 1394, 1327, 2411, 1432, 1018, 1206, 1327, 25251, 1356, 4241, 1049, 1205, 1719, 14589, 1072, 1238, 2100, 1063, 6704, 17163, 8175, 9846, 1044, 11166, 9624, 1054, 17344, 1309, 1026, 3311, 1009, 14551, 15909, 15311, 1048, 1058, 31519, 1009, 2411, 1432, 1018, 1195, 11924, 1069, 1511, 1106, 8714, 1005, 1574, 1017, 4190, 3315, 1412, 1048, 5588, 2281, 8639, 1118, 1663, 1664, 3530, 11527, 3085, 1554, 1776, 1852, 1009, 17344, 4247, 1019, 1051, 1973, 1048, 1132, 27169, 16625, 1596, 7742, 1118, 27344, 1544, 2378, 3998, 24337, 11775, 1131, 1048, 1058, 4312, 1026, 7051, 1060, 4022, 1060, 7271, 1114, 3832, 1009, 13872, 1132, 27169, 1463, 6912, 1394, 24920, 6081, 1009, 1579, 2176, 1118, 2539, 26811, 1068, 84, 1958, 1102, 1005, 675, 4536, 5479, 1229, 1048, 16129, 1009, 10623, 1009, 1048, 1857, 1596, 13557, 1118, 1044, 14316, 17163, 7261, 28483, 1035, 1233, 1009, 1048, 1857, 8651, 7220, 1009, 9471, 4051, 1363, 3109, 4846, 22893, 1318, 1579, 13375, 1009, 1048, 1132, 27169, 1463, 6912, 1394, 2643, 1094, 2869, 1043, 1124, 1142, 2447, 1009, 2152, 95, 26936, 23807, 1068, 84, 1958, 1102, 13696, 1048, 1132, 27169, 1463, 6912, 1394, 1327, 19043, 2309, 15784, 4999, 3613, 1005, 1048, 1132, 7593, 1327, 2072, 16625, 1048, 1857, 2643, 1048, 1178, 4513, 1166, 1118, 3473, 8621, 1113, 3985, 1162, 3992, 1006, 14417, 4290, 1048, 18661, 1074, 4051, 1363, 3109, 1074, 8, 1054, 1138, 60, 52, 24539, 1596, 8639, 1356, 26977, 1187, 11527, 3085, 1229, 1026, 4632, 2769, 17333, 28124, 1009, 6739, 1081, 29128, 1005, 3182, 4509, 5071, 2805, 15, 13860, 1132, 27169, 1159, 3469, 16474, 1118, 9471, 23087, 7034, 1119, 2781, 1029, 1302, 74, 3926, 4868, 1009, 3780, 17396, 1145, 1005, 15530, 76, 12755, 1114, 1142, 5071, 2805, 4979, 32, 675, 6373, 2315, 10635, 1006, 27834, 1048, 2237, 14496, 1160, 1298, 1178, 27433, 10151, 1140, 2100, 3807, 1012, 12468, 2370, 1068, 84, 1958, 2565, 675, 4536, 12741, 1005, 26811, 1068, 84, 1958, 1102, 2643, 19035, 24625, 30138, 13093, 1048, 2643, 2281, 22180, 1312, 1159, 21752, 1097, 1793, 2230, 1392, 1118, 4440, 1011, 9363, 1005, 3602, 5430, 2966, 1026, 11844, 1068, 1006, 31787, 1062, 21887, 12355, 1596, 17900, 9262, 7264, 2287, 1009, 4599, 4051, 1363, 3109, 1013, 1406, 16469, 1119, 2781, 1029, 1302, 19074, 1658, 8698, 8574, 3528, 7905, 1026, 21491, 13209, 1060, 6140, 1060, 1128, 20640, 5213, 4979, 1048, 2179, 1103, 15331, 11498, 6436, 7444, 2281, 9912, 8264, 27169, 1054, 6824, 1009, 1600, 1162, 3280, 1009, 675, 2558, 2037, 1048, 1327, 18643, 1166, 28379, 1068, 2490, 5243, 8409, 1986, 3472, 7142, 2350, 1271, 1600, 1162, 3280, 1005, 2553, 1656, 1054, 27169, 13090, 1133, 2765, 1463, 6912, 1394, 4354, 4674, 2285, 1009, 12434, 2643, 5413, 9331, 1365, 1124, 6912, 1394, 2453, 1187, 27169, 1005, 2979, 13216, 14992, 1616, 1159, 5274, 1009, 1048, 1857, 1160, 1596, 7742, 1356, 2792, 22974, 20315, 9075, 10753, 1085, 18, 1044, 17176, 1005, 20238, 1049, 10347, 14986, 9415, 5278, 1072, 3761, 29019, 10933, 2861, 10139, 1036, 1054, 9339, 1005, 22820, 1482, 1235, 2011, 1009, 9339, 1264, 8999, 1048, 11465, 1009, 1636, 1436, 1294, 20572, 2453, 1187, 27169, 3586, 21976, 2491, 1312, 1043, 1006, 3621, 1049, 24734, 2453, 1049, 15799, 20, 1482, 14835, 1026, 1011, 5361, 13098, 13309, 9243, 2064, 7709, 1371, 1006, 1048, 1006, 21976, 1112, 1160, 1096, 2261, 1126, 14447, 2754, 1329, 2024, 1161, 1679, 6335, 1005, 1111, 8791, 1009, 9075, 10753, 1085, 18, 1005, 1973, 1048, 1150, 28048, 1048, 1235, 2011, 2374, 1057, 4205, 1069, 1009, 1871, 8636, 1118, 12434, 23369, 3748, 2539, 27537, 1160, 3449, 5265, 4716, 1009, 4480, 1006, 13020, 1124, 2739, 5649, 1161, 1761, 20801, 1016, 1048, 9075, 10753, 1085, 1381, 18, 2966, 1132, 1456, 9839, 9553, 1124, 1111, 5084, 1025, 9366, 1394, 1009, 1086, 19501, 3242, 1165, 5788, 1876, 3528, 7693, 2346, 1021, 16882, 1678, 1044, 20238, 1048, 2284, 2452, 1069, 1132, 27169, 1463, 6912, 1394, 1118, 2128, 2864, 4979, 1048, 15731, 1048, 20169, 2829, 7742, 1356, 12960, 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 ]

[ 23533, 1463, 17827, 6184, 1118, 5649, 1656, 1048, 1596, 1857, 1048, 6884, 1026, 14316, 1054, 23500, 1043, 1026, 2490, 1009, 6099, 2987, 1048, 1376, 4755, 1054, 1094, 1008, 1885, 1107, 1009, 19752, 19266, 1005, 1044, 5350, 158, 1009, 22840, 23584, 1043, 1044, 4062, 1370, 1009, 1006, 9206, 1068, 2213, 9386, 1006, 22414, 1054, 2618, 1057, 7043, 1972, 15195, 1006, 1224, 3701, 1112, 1857, 6470, 1044, 15799, 1054, 3349, 1679, 16612, 33, 1026, 1150, 1197, 9590, 1185, 1291, 8, 14278, 10451, 15400, 25725, 1349, 4623, 5196, 77, 1599, 5365, 1079, 1026, 15799, 1005, 1026, 9208, 22785, 1221, 1996, 1009, 1261, 2281, 16691, 1048, 1516, 1044, 2208, 1133, 11402, 14374, 2502, 1118, 15527, 1009, 27169, 1054, 6912, 1394, 11498, 10581, 1054, 26729, 13683, 1005, 23395, 3701, 1412, 4207, 1132, 8639, 1118, 1664, 1132, 27169, 7742, 1996, 1009, 12056, 1005, 1118, 1184, 1009, 1360, 27169, 1054, 6912, 1394, 1072, 3041, 1365, 13850, 1005, 11260, 11499, 1077, 1048, 1734, 12722, 27169, 1160, 1596, 7742, 1118, 1857, 15, 10774, 1026, 1235, 11192, 2037, 1132, 1791, 4031, 4944, 9446, 3748, 1044, 15799, 1009, 2706, 20, 5153, 1026, 4868, 8461, 11647, 82, 2212, 28406, 11397, 1164, 23818, 1048, 1857, 18926, 2862, 1202, 1094, 2750, 6697, 1009, 6353, 1009, 6912, 1394, 3555, 1132, 27169, 1054, 6912, 1394, 5334, 3862, 1202, 1068, 1044, 14316, 17072, 1847, 1048, 2364, 11112, 1009, 11397, 1164, 8109, 16475, 1166, 13136, 17354, 1054, 2220, 1026, 1784, 8, 3313, 14974, 20992, 4395, 2323, 1187, 1646, 7693, 1026, 2285, 1005, 1006, 14198, 1271, 25725, 1054, 6912, 1394, 4910, 9334, 2088, 1043, 1495, 2156, 1910, 2625, 5480, 1005, 1048, 6919, 1202, 2350, 5625, 7184, 4275, 1005, 22090, 23432, 8000, 20238, 8999, 1048, 1132, 27169, 1463, 6912, 1394, 1072, 4037, 5546, 1160, 1826, 18600, 8853, 25626, 1118, 2693, 1006, 12435, 20, 5126, 13136, 4236, 1271, 1090, 14636, 1054, 3905, 1009, 7984, 9909, 4612, 1206, 19941, 10947, 1006, 26620, 1049, 12735, 22411, 5494, 1159, 19671, 10243, 1909, 1206, 1063, 1167, 20088, 3965, 1084, 1927, 13136, 1054, 3905, 1048, 1327, 1009, 4445, 3177, 20, 9641, 10863, 12248, 1048, 1132, 27169, 1327, 1184, 4099, 1219, 1010, 1006, 4207, 19043, 1357, 3597, 8606, 31315, 1049, 1048, 1118, 2073, 4751, 1068, 84, 24337, 3942, 3878, 1837, 15527, 1009, 1460, 5555, 82, 1174, 1010, 1054, 6912, 1394, 1009, 27361, 1049, 3821, 1049, 1908, 2271, 7624, 4807, 1072, 5109, 1009, 3584, 6790, 5949, 1776, 3338, 1009, 1156, 86, 2634, 31079, 15527, 1927, 13876, 1365, 1026, 1852, 1049, 3681, 1009, 3268, 1005, 1026, 2738, 1049, 3681, 1009, 29571, 1482, 27971, 1032, 17237, 19690, 5756, 1657, 1044, 17597, 1054, 3268, 1009, 4210, 2474, 3744, 25560, 7177, 18866, 15043, 1322, 1132, 27169, 1463, 6912, 1394, 1096, 1048, 1857, 1327, 17110, 2309, 9471, 6826, 1159, 1670, 2302, 2223, 1138, 3202, 1184, 10035, 3201, 1118, 1094, 3271, 1206, 2417, 1068, 6838, 1094, 4581, 1054, 6912, 1394, 1096, 9441, 1439, 1094, 22287, 1009, 1094, 19266, 1006, 1044, 3311, 1009, 30913, 6177, 1005, 1006, 2924, 1054, 1094, 7810, 1126, 1048, 1096, 5483, 1068, 9467, 13278, 1124, 7156, 1005, 2837, 1026, 10516, 20, 1766, 1011, 9363, 25321, 1046, 1048, 2252, 1124, 5625, 1187, 27169, 1463, 6912, 1394, 1327, 5560, 27659, 1043, 1006, 4008, 22460, 28851, 1391, 2643, 29550, 1048, 1124, 25725, 1184, 23432, 1693, 1178, 4661, 1043, 1006, 3629, 1009, 28398, 1005, 12892, 10793, 1482, 7905, 1044, 1460, 5555, 82, 1174, 85, 1195, 3330, 1213, 2729, 1009, 2125, 17726, 10822, 2897, 1005, 12567, 1195, 14023, 1098, 19870, 1599, 1043, 2088, 27169, 8205, 1212, 6837, 2286, 1235, 3066, 1009, 15203, 2045, 5459, 1081, 8043, 2363, 1148, 74, 5488, 18, 9129, 12241, 1056, 24997, 1048, 1132, 27169, 1463, 6912, 1394, 1596, 13557, 1118, 1106, 8714, 1005, 1574, 1017, 4190, 1005, 1456, 1240, 1041, 1544, 1005, 1579, 1814, 1048, 675, 4536, 12741, 26028, 22074, 1124, 11810, 1009, 1048, 1124, 25725, 1327, 6626, 1118, 6000, 20440, 1068, 1048, 1857, 6326, 5711, 3503, 3958, 1054, 1094, 4599, 4051, 1363, 3109, 1013, 1068, 1124, 25725, 1054, 6912, 28011, 4685, 1566, 1195, 10151, 1069, 1048, 27169, 1463, 6912, 1394, 1493, 16625, 1693, 1178, 13557, 1118, 9913, 1063, 5623, 5377, 1793, 1339, 8724, 9415, 1044, 2859, 1009, 11031, 28413, 12339, 1048, 2845, 1006, 1663, 27169, 1054, 6912, 1394, 1049, 3184, 1060, 5507, 1054, 31427, 2200, 5444, 1322, 1159, 1096, 4445, 6537, 6306, 1048, 9480, 6099, 2987, 1005, 1048, 1693, 8273, 12016, 1024, 1132, 3249, 1544, 18820, 20, 2200, 17554, 1322, 1159, 6768, 1009, 23113, 5240, 1230, 1573, 1406, 1159, 1026, 2045, 11422, 11963, 12369, 84, 1672, 5588, 2281, 12016, 1312, 1005, 4979, 1048, 1124, 1783, 6639, 10218, 1054, 24625, 16603, 4628, 1068, 1132, 23452, 1048, 1620, 1160, 1327, 5174, 3983, 1082, 1575, 3102, 1009, 4173, 1009, 1044, 1460, 4690, 1174, 1100, 19045, 1566, 1826, 1680, 4814, 1166, 1114, 6211, 5044, 23807, 1060, 4599, 15018, 7435, 1577, 1187, 27169, 9344, 1048, 1124, 9262, 1009, 13609, 6819, 1327, 14495, 1009, 15571, 1878, 1698, 1132, 10347, 1051, 1554, 8144, 14110, 1006, 4922, 1754, 1048, 1837, 1094, 6704, 1060, 28433, 2762, 1043, 1132, 12685, 6912, 1157, 17360, 1009, 2318, 1458, 1068, 14378, 1130, 1124, 16090, 1187, 11527, 3085, 1554, 3735, 1026, 6971, 1009, 6644, 4114, 11031, 28413, 4190, 5444, 7896, 20373, 1114, 24672, 1264, 1195, 12700, 1009, 21414, 17358, 1021, 18906, 8, 1005, 1009, 4524, 1068, 1026, 1082, 47, 2400, 1026, 3159, 1009, 8600, 5051, 1049, 4037, 26013, 28413, 4190, 9410, 1048, 2653, 1150, 1197, 9590, 1185, 1573, 8, 2518, 1040, 4106, 1005, 6676, 1046, 19973, 21463, 1009, 3910, 6072, 1054, 6824, 1009, 7910, 4547, 1847, 1048, 1857, 2643, 9200, 13033, 1054, 9934, 1698, 1026, 1048, 1096, 1009, 6794, 1006, 16570, 1184, 11390, 1068, 1132, 27169, 1113, 23092, 3401, 12499, 7650, 16456, 1132, 5162, 23760, 9170, 1163, 2795, 1017, 15038, 2137, 89, 1005, 1123, 168, 10084, 17349, 1229, 5300, 2276, 1043, 2128, 2864, 1596, 1124, 6316, 1783, 1006, 8086, 1094, 3597, 7492, 1118, 2612, 1060, 4173, 1009, 1044, 15799, 1054, 1094, 6912, 3803, 15038, 2137, 89, 1005, 17349, 1229, 4988, 1009, 1094, 4044, 26294, 1114, 18038, 19448, 1054, 11239, 18, 18926, 1044, 1460, 4690, 1174, 85, 1009, 8060, 4722, 1009, 16937, 1054, 1044, 3428, 1009, 27361, 4236, 1009, 30727, 158, 9000, 1546, 78, 1640, 92, 5415, 18, 20782, 2718, 1006, 17066, 1009, 24188, 86, 7277, 1054, 1799, 1009, 3370, 1009, 29718, 1482, 1307, 1009, 11689, 1006, 7779, 7981, 1114, 3546, 23760, 1052, 1005, 3354, 7709, 1048, 1026, 15799, 1516, 1094, 7319, 24951, 10310, 5795, 1049, 3428, 1996, 1005, 1846, 1060, 4581, 1261, 2281, 1642, 9561, 2800, 14097, 1006, 1063, 1368, 95, 81, 1029, 2215, 96, 26209, 18, 1006, 20059, 1060, 2782, 9351, 3163, 1079, 1132, 5162, 1054, 2916, 1009, 1307, 1910, 9697, 1118, 8751, 1554, 1138, 9054, 22378, 1048, 1132, 4988, 2829, 8639, 1657, 2309, 8016, 19043, 11791, 2095, 3266, 11527, 3085, 1100, 1026, 1048, 2521, 1026, 2161, 11506, 1068, 2595, 8069, 4846, 1138, 9054, 26623, 1048, 15312, 11, 1187, 8016, 1726, 6912, 1394, 1596, 19043, 2309, 8471, 1009, 9693, 1048, 20942, 6422, 1068, 30727, 158, 9000, 1546, 78, 1640, 92, 5415, 1986, 1026, 1460, 4690, 1174, 85, 10181, 1114, 7271, 2286, 7693, 26694, 10240, 1058, 4312, 1026, 1831, 2792, 1072, 4037, 5546, 1006, 1178, 7552, 1118, 7907, 8016, 1846, 1009, 1663, 1044, 1460, 4690, 1174, 85, 4236, 1009, 6629, 1127, 1400, 7236, 90, 21086, 20, 1482, 3113, 1009, 7693, 1264, 1195, 3743, 1069, 1054, 18469, 8259, 1005, 1184, 18469, 3949, 1054, 7871, 15968, 1212, 3401, 12940, 5481, 1051, 2214, 4179, 17163, 10940, 16314, 29550, 1048, 1132, 27169, 1463, 6912, 1394, 7937, 1178, 1026, 3435, 1009, 23452, 17163, 10940, 12591, 21693, 1048, 16129, 1009, 23178, 1650, 1166, 1233, 15784, 4999, 11072, 1309, 1160, 1837, 4697, 17360, 1009, 1048, 1664, 1132, 27169, 1463, 6912, 1394, 1327, 13557, 1118, 2350, 11788, 11855, 2286, 8931, 2041, 1044, 17176, 1317, 3858, 3753, 21389, 1613, 30588, 5444, 1094, 6866, 1213, 8497, 1060, 5623, 17322, 1322, 2088, 27169, 1463, 6300, 30642, 1005, 14082, 1079, 10113, 1043, 1094, 11003, 30413, 6909, 1048, 1224, 1871, 1516, 5083, 2507, 1223, 1343, 1009, 3473, 3597, 1049, 9772, 7086, 6720, 21556, 13872, 21639, 5619, 4247, 1019, 3933, 1044, 17163, 21005, 1005, 25662, 19361, 1048, 1132, 27169, 2829, 19043, 1118, 1057, 2881, 85, 3342, 7302, 4288, 1195, 31298, 2691, 27771, 1049, 2709, 1060, 25447, 2800, 1132, 27169, 1058, 9751, 1184, 4370, 1229, 21639, 5619, 2569, 1048, 2837, 12600, 1752, 1472, 1184, 4370, 1273, 14082, 1157, 1044, 13907, 1719, 90, 2238, 1009, 1536, 1016, 1183, 8, 29457, 10257, 2526, 19200, 19074, 1877, 3617, 1063, 6704, 17163, 8175, 5749, 20726, 1005, 1195, 1495, 19956, 3234, 1054, 11260, 1356, 9757, 17173, 14551, 15909, 1048, 1973, 2464, 25621, 27169, 1463, 6912, 1394, 1327, 2411, 1432, 1018, 1206, 1327, 25251, 1356, 4241, 1049, 1205, 1719, 14589, 1072, 1238, 2100, 1063, 6704, 17163, 8175, 9846, 1044, 11166, 9624, 1054, 17344, 1309, 1026, 3311, 1009, 14551, 15909, 15311, 1048, 1058, 31519, 1009, 2411, 1432, 1018, 1195, 11924, 1069, 1511, 1106, 8714, 1005, 1574, 1017, 4190, 3315, 1412, 1048, 5588, 2281, 8639, 1118, 1663, 1664, 3530, 11527, 3085, 1554, 1776, 1852, 1009, 17344, 4247, 1019, 1051, 1973, 1048, 1132, 27169, 16625, 1596, 7742, 1118, 27344, 1544, 2378, 3998, 24337, 11775, 1131, 1048, 1058, 4312, 1026, 7051, 1060, 4022, 1060, 7271, 1114, 3832, 1009, 13872, 1132, 27169, 1463, 6912, 1394, 24920, 6081, 1009, 1579, 2176, 1118, 2539, 26811, 1068, 84, 1958, 1102, 1005, 675, 4536, 5479, 1229, 1048, 16129, 1009, 10623, 1009, 1048, 1857, 1596, 13557, 1118, 1044, 14316, 17163, 7261, 28483, 1035, 1233, 1009, 1048, 1857, 8651, 7220, 1009, 9471, 4051, 1363, 3109, 4846, 22893, 1318, 1579, 13375, 1009, 1048, 1132, 27169, 1463, 6912, 1394, 2643, 1094, 2869, 1043, 1124, 1142, 2447, 1009, 2152, 95, 26936, 23807, 1068, 84, 1958, 1102, 13696, 1048, 1132, 27169, 1463, 6912, 1394, 1327, 19043, 2309, 15784, 4999, 3613, 1005, 1048, 1132, 7593, 1327, 2072, 16625, 1048, 1857, 2643, 1048, 1178, 4513, 1166, 1118, 3473, 8621, 1113, 3985, 1162, 3992, 1006, 14417, 4290, 1048, 18661, 1074, 4051, 1363, 3109, 1074, 8, 1054, 1138, 60, 52, 24539, 1596, 8639, 1356, 26977, 1187, 11527, 3085, 1229, 1026, 4632, 2769, 17333, 28124, 1009, 6739, 1081, 29128, 1005, 3182, 4509, 5071, 2805, 15, 13860, 1132, 27169, 1159, 3469, 16474, 1118, 9471, 23087, 7034, 1119, 2781, 1029, 1302, 74, 3926, 4868, 1009, 3780, 17396, 1145, 1005, 15530, 76, 12755, 1114, 1142, 5071, 2805, 4979, 32, 675, 6373, 2315, 10635, 1006, 27834, 1048, 2237, 14496, 1160, 1298, 1178, 27433, 10151, 1140, 2100, 3807, 1012, 12468, 2370, 1068, 84, 1958, 2565, 675, 4536, 12741, 1005, 26811, 1068, 84, 1958, 1102, 2643, 19035, 24625, 30138, 13093, 1048, 2643, 2281, 22180, 1312, 1159, 21752, 1097, 1793, 2230, 1392, 1118, 4440, 1011, 9363, 1005, 3602, 5430, 2966, 1026, 11844, 1068, 1006, 31787, 1062, 21887, 12355, 1596, 17900, 9262, 7264, 2287, 1009, 4599, 4051, 1363, 3109, 1013, 1406, 16469, 1119, 2781, 1029, 1302, 19074, 1658, 8698, 8574, 3528, 7905, 1026, 21491, 13209, 1060, 6140, 1060, 1128, 20640, 5213, 4979, 1048, 2179, 1103, 15331, 11498, 6436, 7444, 2281, 9912, 8264, 27169, 1054, 6824, 1009, 1600, 1162, 3280, 1009, 675, 2558, 2037, 1048, 1327, 18643, 1166, 28379, 1068, 2490, 5243, 8409, 1986, 3472, 7142, 2350, 1271, 1600, 1162, 3280, 1005, 2553, 1656, 1054, 27169, 13090, 1133, 2765, 1463, 6912, 1394, 4354, 4674, 2285, 1009, 12434, 2643, 5413, 9331, 1365, 1124, 6912, 1394, 2453, 1187, 27169, 1005, 2979, 13216, 14992, 1616, 1159, 5274, 1009, 1048, 1857, 1160, 1596, 7742, 1356, 2792, 22974, 20315, 9075, 10753, 1085, 18, 1044, 17176, 1005, 20238, 1049, 10347, 14986, 9415, 5278, 1072, 3761, 29019, 10933, 2861, 10139, 1036, 1054, 9339, 1005, 22820, 1482, 1235, 2011, 1009, 9339, 1264, 8999, 1048, 11465, 1009, 1636, 1436, 1294, 20572, 2453, 1187, 27169, 3586, 21976, 2491, 1312, 1043, 1006, 3621, 1049, 24734, 2453, 1049, 15799, 20, 1482, 14835, 1026, 1011, 5361, 13098, 13309, 9243, 2064, 7709, 1371, 1006, 1048, 1006, 21976, 1112, 1160, 1096, 2261, 1126, 14447, 2754, 1329, 2024, 1161, 1679, 6335, 1005, 1111, 8791, 1009, 9075, 10753, 1085, 18, 1005, 1973, 1048, 1150, 28048, 1048, 1235, 2011, 2374, 1057, 4205, 1069, 1009, 1871, 8636, 1118, 12434, 23369, 3748, 2539, 27537, 1160, 3449, 5265, 4716, 1009, 4480, 1006, 13020, 1124, 2739, 5649, 1161, 1761, 20801, 1016, 1048, 9075, 10753, 1085, 1381, 18, 2966, 1132, 1456, 9839, 9553, 1124, 1111, 5084, 1025, 9366, 1394, 1009, 1086, 19501, 3242, 1165, 5788, 1876, 3528, 7693, 2346, 1021, 16882, 1678, 1044, 20238, 1048, 2284, 2452, 1069, 1132, 27169, 1463, 6912, 1394, 1118, 2128, 2864, 4979, 1048, 15731, 1048, 20169, 2829, 7742, 1356, 12960, 1005 ]

[ 26656, 1063, 2462, 6720, 7687, 1054, 1044, 4367, 1009, 15617, 17572, 1005, 1006, 1944, 6947, 3019, 4367, 1516, 1261, 18770, 6249, 7347, 1068, 1026, 19104, 1060, 1106, 4057, 1377, 1063, 5530, 7744, 6750, 7687, 1072, 3407, 3019, 11797, 1006, 2093, 6177, 16390, 1009, 1090, 1708, 1566, 2284, 2281, 4970, 1140, 1054, 1044, 2743, 3388, 1048, 1503, 2257, 3330, 1005, 1006, 2462, 6720, 2521, 1132, 6763, 2147, 6261, 1516, 2452, 3013, 1114, 15816, 1134, 6613, 10517, 1166, 1005, 1668, 1195, 1026, 1831, 1807, 5628, 20, 7804, 1043, 1026, 12906, 1060, 6338, 1009, 2956, 1009, 22389, 1048, 1294, 10517, 1079, 1072, 17982, 1009, 6796, 19196, 4883, 1118, 2922, 1009, 25579, 1090, 5157, 1044, 24568, 1009, 5117, 1126, 1791, 9515, 19, 1462, 17965, 1005, 1044, 4527, 1304, 2156, 8434, 6153, 6346, 19521, 11959, 18, 1184, 1760, 3240, 25579, 1005, 1094, 1090, 1708, 7779, 2132, 30489, 2848, 10764, 3498, 9776, 1400, 1044, 24568, 1009, 5117, 1126, 28304, 73, 1120, 1229, 1044, 4527, 1304, 1054, 1006, 4452, 1005, 1791, 9515, 19, 1462, 1036, 2223, 3204, 1516, 1026, 18770, 6249, 12096, 1068, 1006, 27988, 1024, 1026, 19104, 1009, 1871, 12908, 1005, 1132, 6486, 1048, 1058, 18685, 7979, 1068, 1124, 3638, 4374, 1021, 2032, 1060, 11972, 1833, 15245, 19521, 2800, 1006, 11972, 7062, 4435, 2166, 1026, 19104, 1195, 1006, 27988, 1069, 1054, 1090, 1708, 1009, 2125, 4722, 1009, 4464, 20, 8295, 3230, 1760, 22015, 1009, 18770, 6249, 1048, 7211, 1094, 4464, 10758, 6153, 6346, 19521, 10077, 1009, 1178, 1800, 10517, 1166, 1043, 1026, 17982, 1009, 3837, 1060, 6338, 1009, 2956, 1009, 22389, 1026, 19104, 1836, 1657, 4637, 2270, 6020, 1157, 1006, 15617, 17572, 1060, 1106, 4057, 1126, 1026, 1184, 11265, 2909, 12428, 1044, 18770, 6249, 9443, 1068, 1224, 15426, 19872, 1005, 1048, 2908, 7765, 1044, 3177, 1184, 4445, 1006, 1264, 1833, 15245, 19521, 1063, 5143, 1685, 7514, 1072, 1901, 1009, 4127, 1005, 1503, 4359, 79, 1006, 7744, 2405, 1411, 2276, 3230, 2649, 2602, 1026, 9993, 21970, 1357, 2462, 1550, 3336, 18809, 1195, 1359, 6523, 1998, 1596, 1057, 4462, 1312, 2350, 6982, 1005, 3230, 9359, 2315, 3689, 1356, 2277, 1901, 10822, 1343, 1026, 1592, 17982, 1060, 6338, 1009, 2956, 1009, 5027, 20, 31158, 5706, 1229, 1072, 2277, 4183, 1026, 2743, 1009, 27165, 1060, 1106, 4057, 1126, 1043, 1026, 6137, 1009, 10337, 1060, 11972, 1005, 15539, 1356, 5633, 1049, 11797, 1068, 3371, 1006, 2462, 6720, 1006, 14246, 1751, 1049, 2930, 19104, 1072, 6137, 20, 11341, 1009, 13438, 1006, 1067, 4055, 1294, 10517, 10449, 11149, 1620, 2350, 2089, 4072, 18676, 1048, 3230, 31571, 1048, 1006, 1067, 4055, 16979, 1294, 15237, 29175, 11595, 2156, 6982, 1327, 8183, 4412, 1005, 1327, 2519, 1916, 15460, 1998, 1596, 8364, 8548, 1679, 28788, 20570, 2309, 19401, 1102, 10517, 1166, 1357, 1067, 4055, 20, 1972, 12356, 1195, 1044, 10472, 1493, 2512, 6153, 6346, 19521, 6062, 2743, 24138, 71, 1160, 1998, 1026, 6137, 1009, 8860, 26722, 1005, 1094, 2759, 1009, 27004, 79, 5454, 1309, 1318, 6486, 2711, 6602, 1068, 2997, 5875, 1726, 3638, 1005, 18770, 6249, 1068, 5680, 6486, 20, 4567, 1048, 1026, 2743, 3501, 1930, 1132, 13374, 27710, 10705, 1027, 1114, 5309, 1009, 3780, 1068, 7461, 1187, 5015, 1833, 15245, 19521, 1063, 9026, 1096, 27175, 1668, 11797, 6178, 1054, 12364, 14126, 7685, 1005, 4202, 3689, 1026, 17982, 1060, 1067, 4055, 18, 2340, 3230, 4319, 1184, 6982, 1068, 3349, 1005, 1006, 4958, 2177, 1006, 1009, 22916, 1990, 6153, 6346, 19521, 10770, 16382, 1048, 16766, 1118, 1663, 1668, 2743, 1009, 27165, 1996, 1060, 22916, 1990, 1833, 15245, 19521, 11959, 2350, 5729, 9310, 1049, 2930, 1251, 1512, 1100, 1048, 2829, 32, 4292, 1094, 20697, 1060, 5020, 1009, 13468, 1049, 2930, 1251, 1512, 1100, 1998, 1048, 1096, 1657, 1094, 3925, 8736, 1160, 2257, 1159, 1006, 2462, 6720, 3291, 7215, 1006, 5020, 6153, 6346, 19521, 2656, 3291, 1006, 5020, 6553, 1126, 2601, 1044, 5802, 1072, 9112, 1049, 2743, 1009, 22916, 28608, 29509, 1096, 2512, 1048, 1026, 3467, 1464, 1208, 1043, 1044, 4577, 1566, 22916, 20967, 1118, 1094, 4380, 1009, 14814, 1009, 1224, 16733, 1505, 3005, 2930, 10760, 1009, 6855, 10752, 1094, 9756, 17524, 14421, 1009, 2252, 1124, 22433, 1996, 1048, 1026, 3467, 1005, 1132, 27004, 10915, 1798, 1040, 1026, 11283, 6304, 1271, 10529, 1833, 15245, 19521, 1138, 2930, 10760, 7687, 1026, 1901, 1009, 7218, 4933, 9765, 1114, 22916, 1990, 9147, 4106, 2170, 1068, 12356, 1096, 8183, 2512, 3291, 7215, 1026, 1048, 1096, 1026, 2930, 1251, 1512, 1100, 1068, 1622, 1800, 3627, 1339, 4882, 1005, 3291, 2950, 1096, 1026, 9112, 1009, 22916, 1990, 1068, 1668, 1251, 1512, 1667, 4083, 1160, 1190, 8587, 9364, 1044, 3159, 1009, 22916, 1990, 1305, 3291, 7215, 1026, 1048, 1294, 1225, 1229, 2340, 1616, 2601, 5802, 1072, 9112, 6153, 6346, 19521, 7766, 2246, 3068, 3832, 1048, 1006, 11972, 7062, 19787, 1596, 1825, 5006, 1118, 3018, 4320, 13468, 4488, 4205, 1312, 1048, 1160, 4343, 4659, 1072, 2930, 19104, 1833, 15245, 19521, 1084, 1616, 2289, 2155, 1178, 19147, 21643, 10770, 2265, 1800, 2237, 6947, 1009, 14965, 4493, 1068, 5574, 1026, 2930, 19104, 1005, 1178, 4310, 1009, 3627, 1339, 21809, 1068, 2276, 5522, 1044, 11797, 1043, 1858, 6553, 1229, 1068, 22916, 28608, 1776, 1901, 1048, 3904, 1294, 4319, 1026, 3489, 1009, 1613, 2495, 1419, 2841, 1054, 8389, 1060, 22916, 1990, 1187, 4106, 20, 4567, 2668, 1847, 8183, 7781, 3382, 1294, 12401, 2315, 5587, 2143, 17982, 1054, 8389, 1009, 10995, 1006, 5309, 1068, 1132, 28246, 9270, 1435, 18770, 6249, 7347, 1068, 1006, 5309, 1009, 3780, 6153, 6346, 19521, 8295, 4319, 1620, 2237, 6947, 1009, 11718, 1009, 18770, 6249, 1068, 1006, 5309, 1009, 3780, 1005, 1006, 6947, 1009, 11283, 6304, 1049, 10711, 1271, 13468, 20, 3782, 2601, 1094, 10937, 1009, 15617, 17572, 1009, 1422, 1646, 1833, 15245, 19521, 2494, 7443, 1006, 10937, 1160, 1058, 4145, 1054, 2864, 1005, 1841, 1054, 6982, 1798, 5010, 2034, 2156, 6982, 1048, 19196, 14052, 1596, 1054, 1646, 26806, 8548, 1006, 6338, 1009, 2956, 1009, 5027, 20, 1603, 1294, 7024, 1791, 1646, 3230, 1598, 1010, 10517, 1166, 1043, 1184, 2156, 4072, 18676, 3711, 1054, 2848, 1646, 1026, 2011, 8285, 11901, 1599, 1058, 3230, 1160, 5115, 1800, 1261, 1668, 12906, 10268, 1616, 2155, 30811, 20, 7804, 3230, 4319, 1620, 2156, 6982, 1006, 4855, 1996, 1060, 15617, 1396, 5484, 1026, 1048, 1298, 4480, 1791, 2864, 1072, 25663, 1206, 2848, 18, 1206, 1058, 2255, 1206, 5878, 20, 1505, 1616, 1160, 19196, 3925, 1024, 1054, 1646, 1005, 1841, 1054, 5278, 9309, 6153, 6346, 19521, 1482, 6982, 8364, 1833, 15245, 19521, 4567, 1060, 15617, 17572, 1060, 11972, 4292, 1184, 1094, 6947, 1048, 2909, 7449, 1124, 13468, 1048, 25403, 1009, 1057, 19, 1447, 1019, 1227, 1112, 1206, 4426, 21496, 23319, 3230, 4800, 1798, 8357, 1043, 1006, 11972, 1566, 8522, 1005, 1668, 4577, 1566, 11645, 19915, 3959, 9780, 2013, 1044, 2011, 1048, 1298, 1178, 3330, 1043, 1006, 11972, 1566, 1054, 8542, 6153, 6346, 19521, 16584, 1114, 7443, 1132, 27004, 10915, 1566, 11575, 1412, 1124, 13468, 1048, 25403, 1009, 2476, 1024, 1229, 1026, 1048, 1566, 26104, 1094, 4958, 6947, 1833, 15245, 19521, 1084, 1989, 1096, 2930, 4367, 1009, 15617, 17572, 20, 1063, 4614, 1225, 2156, 4072, 18676, 1094, 5191, 6255, 1005, 1006, 2924, 1325, 1054, 2159, 3784, 4319, 2156, 1620, 1006, 4207, 6626, 1996, 1060, 15617, 17572, 1005, 1006, 3808, 1006, 4614, 9606, 1663, 1043, 1006, 11972, 1566, 8522, 1833, 17153, 32, 7339, 1157, 1322, 1124, 3425, 1543, 4525, 3425, 24462, 2688, 1132, 11278, 1048, 7110, 12524, 1412, 2307, 37, 11772, 10883, 1271, 2156, 3905, 7110, 11519, 1054, 13250, 1068, 6537, 1989, 6502, 1009, 3733, 17405, 1206, 3733, 2127, 37, 3576, 6346, 19521, 2487, 1122, 3240, 1006, 11972, 2257, 3530, 10883, 7962, 28051, 1954, 1402, 1005, 1616, 1058, 7035, 1213, 2729, 1187, 4844, 11026, 1503, 1160, 2449, 1044, 6902, 1068, 9066, 1005, 3291, 1026, 1048, 1006, 5117, 1896, 1060, 4180, 27436, 1322, 1639, 1061, 1667, 2494, 7443, 2739, 2266, 1322, 1006, 11972, 1058, 17618, 1890, 2237, 3832, 1048, 1687, 7062, 19787, 1005, 3004, 1503, 15733, 29907, 1006, 2323, 1049, 1048, 1503, 5317, 20, 7804, 1503, 1160, 3002, 1395, 3754, 1132, 11278, 1048, 1006, 4614, 21493, 1005, 1841, 1132, 11278, 1048, 1006, 4614, 9047, 9526, 1005, 24595, 2129, 23735, 1068, 2364, 1841, 9526, 1094, 3568, 1833, 15245, 19521, 1084, 1503, 22832, 1048, 1058, 1072, 1852, 1271, 3251, 6982, 1006, 4614, 5115, 1261, 13551, 3794, 4741, 1818, 1229, 1791, 1646, 1962, 13782, 1058, 18521, 3473, 2924, 27285, 1687, 2155, 1178, 5348, 2477, 1088, 1236, 1005, 1298, 1178, 2080, 2270, 2654, 1160, 13122, 1072, 4244, 1262, 1303, 5473, 4741, 1818, 1229, 1620, 1184, 1511, 1299, 1325, 9485, 1009, 3066, 1009, 12939, 2340, 1006, 3374, 1325, 2220, 1531, 3895, 8348, 1005, 2289, 1048, 8981, 1026, 1784, 1271, 6194, 1225, 1048, 1058, 10927, 2969, 1667, 7804, 3004, 1006, 4614, 1298, 3754, 1068, 1299, 2688, 1327, 1124, 5426, 16594, 1005, 1026, 1048, 3230, 2265, 1800, 1048, 1050, 5254, 1006, 1058, 4531, 4741, 1818, 1229, 1309, 1616, 1298, 5525, 6153, 6346, 19521, 11026, 1294, 1160, 4319, 1044, 3066, 1009, 8570, 2414, 2276, 1989, 16951, 1009, 3164, 1048, 2739, 13151, 12524, 1046, 3230, 1160, 4616, 1938, 1554, 1776, 2268, 1225, 1229, 1118, 3018, 13468, 1048, 1058, 9751, 6880, 2246, 1225, 1006, 26024, 1009, 7620, 6035, 1833, 15245, 19521, 1138, 2930, 7051, 1096, 3374, 11845, 1005, 8958, 1126, 2276, 10074, 2404, 1160, 14961, 2155, 1178, 1044, 16951, 1068, 4531, 1094, 3733, 1543, 5304, 2654, 22832, 1060, 2511, 5521, 1006, 3733, 17405, 1976, 1261, 18019, 3774, 3336, 2457, 2814, 4702, 1132, 4106, 1184, 29376, 8651, 5224, 1048, 6011, 1094, 7930, 2051, 8183, 21750, 1005, 1048, 1026, 2999, 19448, 1160, 6787, 1261, 3177, 1006, 1857, 2453, 1271, 2089, 3056, 5117, 1273, 5754, 1503, 2449, 2307, 2453, 1005, 1503, 3002, 27958, 1068, 27577, 2858, 14817, 14830, 1005, 13468, 1048, 1596, 6626, 1118, 6353, 2170, 1043, 1094, 1419, 2841, 5195, 5216, 6470, 1094, 7930, 2051, 14120, 1005, 1616, 15593, 2569, 1094, 6894, 1048, 10030, 8236, 1026, 1807, 10445, 1309, 1132, 12094, 19302, 11825, 1048, 2122, 3733, 4292, 1005, 1160, 13589, 4537, 1495, 1687, 1009, 10882, 3819, 18, 2340, 1160, 4548, 1054, 13151, 1040, 17477, 2605, 1058, 1503, 2449, 1094, 3733, 5856, 2307, 2453, 2246, 3530, 26723, 1511, 5588, 8134, 2971, 1646, 1009, 10335, 3586, 20470, 2307, 22914, 1418, 31737, 1471, 2237, 2104, 3733, 1543, 5304, 1505, 5052, 1068, 2452, 1930, 1299, 1225, 1048, 1848, 1114, 2573, 1049, 6035, 1005, 9364, 1068, 6530, 1026, 29880, 1048, 1264, 4616, 1803, 1005, 2237, 1096, 1094, 7922, 1060, 3832, 1009, 23955, 1206, 4473, 1043, 5391, 1503, 2449, 4106, 14182, 1996, 1060, 3832, 1009, 3886, 1048, 6011, 1094, 7930, 2051, 1493, 16812, 6011, 1094, 6894, 8962, 1005, 1058, 1044, 20238, 4659, 1054, 1044, 1058, 2005, 4889, 1264, 6787, 4883, 20, 1063, 4614, 1225, 14830, 2307, 22914, 30462, 1054, 12939, 1048, 1058, 1094, 3271, 8290, 1054, 2848, 13151, 1318, 30462, 1054, 1673, 1400, 1159, 12356, 2307, 1072, 3709, 1060, 4930, 1687, 1160, 2155, 13365, 20, 7804, 1072, 2930, 6204, 1026, 16951, 1160, 1325, 1173, 4404, 1069, 1233, 3164, 1184, 5530, 1009, 2218, 2094, 8261, 6119, 18, 1006, 18019, 11444, 1173, 4404, 1140, 1233, 9120, 1049, 2999, 19448, 1261, 28936, 1048, 1318, 1325, 13742, 1233, 7930, 2051, 6153, 6346, 19521, 1084, 1616, 1096, 1657, 1044, 1187, 11278, 1833, 15245, 19521, 2605, 1006, 18019, 11444, 1160, 1096, 1159, 30029, 1096, 2637, 1068, 1178, 5313, 4457, 3735, 1006, 2462, 6720, 1323, 4960, 1005, 1503, 3611, 1077, 18019, 3774, 1961, 1616, 1160, 1096, 2637, 6189, 1100, 1160, 1225, 1094, 2618, 1009, 7245, 6553, 1377, 7804, 1096, 1044, 2011, 9150, 1100, 1072, 1428, 1318, 1058, 16678, 1026, 2011, 1049, 5117, 1304, 1043, 1026, 15591, 1060, 3374, 20, 7027, 1132, 4278, 4343, 1178, 5313, 1402, 28087, 6153, 6346, 19521, 1084, 1072, 1082, 3642, 1123, 15720, 3230, 9359, 25984, 1657, 1118, 1094, 4380, 1009, 14069, 29671, 18, 16505, 1160, 2373, 1193, 1170, 26807, 4324, 1309, 2373, 1193, 1170, 6880, 8226, 1063, 5530, 5117, 1896, 1318, 3533, 1076, 1589, 1006, 22815, 23033, 2645, 1838, 1112, 8785, 15, 1996, 1049, 2285, 1009, 3806, 1009, 18351, 13468, 1005, 1068, 6879, 1930, 1118, 3018, 1006, 1048, 1836, 1584, 14829, 1140, 1356, 6035, 20, 11203, 4106, 1584, 14829, 2585, 2829, 7843, 1402, 1159, 6880, 1356, 16951, 1060, 19595, 1149, 1833, 15245, 19521, 10770, 4319, 2542, 1828, 3139, 1009, 16592, 4726, 10028, 1294, 2688, 1664, 1132, 6353, 4571, 1412, 1005, 12080, 1068, 1006, 6855, 1049, 6872, 20, 4378, 1096, 1094, 3733, 26950, 7804, 1006, 4380, 1049, 1584, 13192, 1072, 19669, 1298, 1650, 8357, 1094, 3733, 2127, 14435, 2013, 2143, 16951, 20, 3316, 4380, 1048, 4292, 1072, 2658, 1048, 6293, 1044, 6902, 2127, 1096, 1048, 2088, 6638, 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 ]

[ 26656, 1063, 2462, 6720, 7687, 1054, 1044, 4367, 1009, 15617, 17572, 1005, 1006, 1944, 6947, 3019, 4367, 1516, 1261, 18770, 6249, 7347, 1068, 1026, 19104, 1060, 1106, 4057, 1377, 1063, 5530, 7744, 6750, 7687, 1072, 3407, 3019, 11797, 1006, 2093, 6177, 16390, 1009, 1090, 1708, 1566, 2284, 2281, 4970, 1140, 1054, 1044, 2743, 3388, 1048, 1503, 2257, 3330, 1005, 1006, 2462, 6720, 2521, 1132, 6763, 2147, 6261, 1516, 2452, 3013, 1114, 15816, 1134, 6613, 10517, 1166, 1005, 1668, 1195, 1026, 1831, 1807, 5628, 20, 7804, 1043, 1026, 12906, 1060, 6338, 1009, 2956, 1009, 22389, 1048, 1294, 10517, 1079, 1072, 17982, 1009, 6796, 19196, 4883, 1118, 2922, 1009, 25579, 1090, 5157, 1044, 24568, 1009, 5117, 1126, 1791, 9515, 19, 1462, 17965, 1005, 1044, 4527, 1304, 2156, 8434, 6153, 6346, 19521, 11959, 18, 1184, 1760, 3240, 25579, 1005, 1094, 1090, 1708, 7779, 2132, 30489, 2848, 10764, 3498, 9776, 1400, 1044, 24568, 1009, 5117, 1126, 28304, 73, 1120, 1229, 1044, 4527, 1304, 1054, 1006, 4452, 1005, 1791, 9515, 19, 1462, 1036, 2223, 3204, 1516, 1026, 18770, 6249, 12096, 1068, 1006, 27988, 1024, 1026, 19104, 1009, 1871, 12908, 1005, 1132, 6486, 1048, 1058, 18685, 7979, 1068, 1124, 3638, 4374, 1021, 2032, 1060, 11972, 1833, 15245, 19521, 2800, 1006, 11972, 7062, 4435, 2166, 1026, 19104, 1195, 1006, 27988, 1069, 1054, 1090, 1708, 1009, 2125, 4722, 1009, 4464, 20, 8295, 3230, 1760, 22015, 1009, 18770, 6249, 1048, 7211, 1094, 4464, 10758, 6153, 6346, 19521, 10077, 1009, 1178, 1800, 10517, 1166, 1043, 1026, 17982, 1009, 3837, 1060, 6338, 1009, 2956, 1009, 22389, 1026, 19104, 1836, 1657, 4637, 2270, 6020, 1157, 1006, 15617, 17572, 1060, 1106, 4057, 1126, 1026, 1184, 11265, 2909, 12428, 1044, 18770, 6249, 9443, 1068, 1224, 15426, 19872, 1005, 1048, 2908, 7765, 1044, 3177, 1184, 4445, 1006, 1264, 1833, 15245, 19521, 1063, 5143, 1685, 7514, 1072, 1901, 1009, 4127, 1005, 1503, 4359, 79, 1006, 7744, 2405, 1411, 2276, 3230, 2649, 2602, 1026, 9993, 21970, 1357, 2462, 1550, 3336, 18809, 1195, 1359, 6523, 1998, 1596, 1057, 4462, 1312, 2350, 6982, 1005, 3230, 9359, 2315, 3689, 1356, 2277, 1901, 10822, 1343, 1026, 1592, 17982, 1060, 6338, 1009, 2956, 1009, 5027, 20, 31158, 5706, 1229, 1072, 2277, 4183, 1026, 2743, 1009, 27165, 1060, 1106, 4057, 1126, 1043, 1026, 6137, 1009, 10337, 1060, 11972, 1005, 15539, 1356, 5633, 1049, 11797, 1068, 3371, 1006, 2462, 6720, 1006, 14246, 1751, 1049, 2930, 19104, 1072, 6137, 20, 11341, 1009, 13438, 1006, 1067, 4055, 1294, 10517, 10449, 11149, 1620, 2350, 2089, 4072, 18676, 1048, 3230, 31571, 1048, 1006, 1067, 4055, 16979, 1294, 15237, 29175, 11595, 2156, 6982, 1327, 8183, 4412, 1005, 1327, 2519, 1916, 15460, 1998, 1596, 8364, 8548, 1679, 28788, 20570, 2309, 19401, 1102, 10517, 1166, 1357, 1067, 4055, 20, 1972, 12356, 1195, 1044, 10472, 1493, 2512, 6153, 6346, 19521, 6062, 2743, 24138, 71, 1160, 1998, 1026, 6137, 1009, 8860, 26722, 1005, 1094, 2759, 1009, 27004, 79, 5454, 1309, 1318, 6486, 2711, 6602, 1068, 2997, 5875, 1726, 3638, 1005, 18770, 6249, 1068, 5680, 6486, 20, 4567, 1048, 1026, 2743, 3501, 1930, 1132, 13374, 27710, 10705, 1027, 1114, 5309, 1009, 3780, 1068, 7461, 1187, 5015, 1833, 15245, 19521, 1063, 9026, 1096, 27175, 1668, 11797, 6178, 1054, 12364, 14126, 7685, 1005, 4202, 3689, 1026, 17982, 1060, 1067, 4055, 18, 2340, 3230, 4319, 1184, 6982, 1068, 3349, 1005, 1006, 4958, 2177, 1006, 1009, 22916, 1990, 6153, 6346, 19521, 10770, 16382, 1048, 16766, 1118, 1663, 1668, 2743, 1009, 27165, 1996, 1060, 22916, 1990, 1833, 15245, 19521, 11959, 2350, 5729, 9310, 1049, 2930, 1251, 1512, 1100, 1048, 2829, 32, 4292, 1094, 20697, 1060, 5020, 1009, 13468, 1049, 2930, 1251, 1512, 1100, 1998, 1048, 1096, 1657, 1094, 3925, 8736, 1160, 2257, 1159, 1006, 2462, 6720, 3291, 7215, 1006, 5020, 6153, 6346, 19521, 2656, 3291, 1006, 5020, 6553, 1126, 2601, 1044, 5802, 1072, 9112, 1049, 2743, 1009, 22916, 28608, 29509, 1096, 2512, 1048, 1026, 3467, 1464, 1208, 1043, 1044, 4577, 1566, 22916, 20967, 1118, 1094, 4380, 1009, 14814, 1009, 1224, 16733, 1505, 3005, 2930, 10760, 1009, 6855, 10752, 1094, 9756, 17524, 14421, 1009, 2252, 1124, 22433, 1996, 1048, 1026, 3467, 1005, 1132, 27004, 10915, 1798, 1040, 1026, 11283, 6304, 1271, 10529, 1833, 15245, 19521, 1138, 2930, 10760, 7687, 1026, 1901, 1009, 7218, 4933, 9765, 1114, 22916, 1990, 9147, 4106, 2170, 1068, 12356, 1096, 8183, 2512, 3291, 7215, 1026, 1048, 1096, 1026, 2930, 1251, 1512, 1100, 1068, 1622, 1800, 3627, 1339, 4882, 1005, 3291, 2950, 1096, 1026, 9112, 1009, 22916, 1990, 1068, 1668, 1251, 1512, 1667, 4083, 1160, 1190, 8587, 9364, 1044, 3159, 1009, 22916, 1990, 1305, 3291, 7215, 1026, 1048, 1294, 1225, 1229, 2340, 1616, 2601, 5802, 1072, 9112, 6153, 6346, 19521, 7766, 2246, 3068, 3832, 1048, 1006, 11972, 7062, 19787, 1596, 1825, 5006, 1118, 3018, 4320, 13468, 4488, 4205, 1312, 1048, 1160, 4343, 4659, 1072, 2930, 19104, 1833, 15245, 19521, 1084, 1616, 2289, 2155, 1178, 19147, 21643, 10770, 2265, 1800, 2237, 6947, 1009, 14965, 4493, 1068, 5574, 1026, 2930, 19104, 1005, 1178, 4310, 1009, 3627, 1339, 21809, 1068, 2276, 5522, 1044, 11797, 1043, 1858, 6553, 1229, 1068, 22916, 28608, 1776, 1901, 1048, 3904, 1294, 4319, 1026, 3489, 1009, 1613, 2495, 1419, 2841, 1054, 8389, 1060, 22916, 1990, 1187, 4106, 20, 4567, 2668, 1847, 8183, 7781, 3382, 1294, 12401, 2315, 5587, 2143, 17982, 1054, 8389, 1009, 10995, 1006, 5309, 1068, 1132, 28246, 9270, 1435, 18770, 6249, 7347, 1068, 1006, 5309, 1009, 3780, 6153, 6346, 19521, 8295, 4319, 1620, 2237, 6947, 1009, 11718, 1009, 18770, 6249, 1068, 1006, 5309, 1009, 3780, 1005, 1006, 6947, 1009, 11283, 6304, 1049, 10711, 1271, 13468, 20, 3782, 2601, 1094, 10937, 1009, 15617, 17572, 1009, 1422, 1646, 1833, 15245, 19521, 2494, 7443, 1006, 10937, 1160, 1058, 4145, 1054, 2864, 1005, 1841, 1054, 6982, 1798, 5010, 2034, 2156, 6982, 1048, 19196, 14052, 1596, 1054, 1646, 26806, 8548, 1006, 6338, 1009, 2956, 1009, 5027, 20, 1603, 1294, 7024, 1791, 1646, 3230, 1598, 1010, 10517, 1166, 1043, 1184, 2156, 4072, 18676, 3711, 1054, 2848, 1646, 1026, 2011, 8285, 11901, 1599, 1058, 3230, 1160, 5115, 1800, 1261, 1668, 12906, 10268, 1616, 2155, 30811, 20, 7804, 3230, 4319, 1620, 2156, 6982, 1006, 4855, 1996, 1060, 15617, 1396, 5484, 1026, 1048, 1298, 4480, 1791, 2864, 1072, 25663, 1206, 2848, 18, 1206, 1058, 2255, 1206, 5878, 20, 1505, 1616, 1160, 19196, 3925, 1024, 1054, 1646, 1005, 1841, 1054, 5278, 9309, 6153, 6346, 19521, 1482, 6982, 8364, 1833, 15245, 19521, 4567, 1060, 15617, 17572, 1060, 11972, 4292, 1184, 1094, 6947, 1048, 2909, 7449, 1124, 13468, 1048, 25403, 1009, 1057, 19, 1447, 1019, 1227, 1112, 1206, 4426, 21496, 23319, 3230, 4800, 1798, 8357, 1043, 1006, 11972, 1566, 8522, 1005, 1668, 4577, 1566, 11645, 19915, 3959, 9780, 2013, 1044, 2011, 1048, 1298, 1178, 3330, 1043, 1006, 11972, 1566, 1054, 8542, 6153, 6346, 19521, 16584, 1114, 7443, 1132, 27004, 10915, 1566, 11575, 1412, 1124, 13468, 1048, 25403, 1009, 2476, 1024, 1229, 1026, 1048, 1566, 26104, 1094, 4958, 6947, 1833, 15245, 19521, 1084, 1989, 1096, 2930, 4367, 1009, 15617, 17572, 20, 1063, 4614, 1225, 2156, 4072, 18676, 1094, 5191, 6255, 1005, 1006, 2924, 1325, 1054, 2159, 3784, 4319, 2156, 1620, 1006, 4207, 6626, 1996, 1060, 15617, 17572, 1005, 1006, 3808, 1006, 4614, 9606, 1663, 1043, 1006, 11972, 1566, 8522, 1833, 17153, 32, 7339, 1157, 1322, 1124, 3425, 1543, 4525, 3425, 24462, 2688, 1132, 11278, 1048, 7110, 12524, 1412, 2307, 37, 11772, 10883, 1271, 2156, 3905, 7110, 11519, 1054, 13250, 1068, 6537, 1989, 6502, 1009, 3733, 17405, 1206, 3733, 2127, 37, 3576, 6346, 19521, 2487, 1122, 3240, 1006, 11972, 2257, 3530, 10883, 7962, 28051, 1954, 1402, 1005, 1616, 1058, 7035, 1213, 2729, 1187, 4844, 11026, 1503, 1160, 2449, 1044, 6902, 1068, 9066, 1005, 3291, 1026, 1048, 1006, 5117, 1896, 1060, 4180, 27436, 1322, 1639, 1061, 1667, 2494, 7443, 2739, 2266, 1322, 1006, 11972, 1058, 17618, 1890, 2237, 3832, 1048, 1687, 7062, 19787, 1005, 3004, 1503, 15733, 29907, 1006, 2323, 1049, 1048, 1503, 5317, 20, 7804, 1503, 1160, 3002, 1395, 3754, 1132, 11278, 1048, 1006, 4614, 21493, 1005, 1841, 1132, 11278, 1048, 1006, 4614, 9047, 9526, 1005, 24595, 2129, 23735, 1068, 2364, 1841, 9526, 1094, 3568, 1833, 15245, 19521, 1084, 1503, 22832, 1048, 1058, 1072, 1852, 1271, 3251, 6982, 1006, 4614, 5115, 1261, 13551, 3794, 4741, 1818, 1229, 1791, 1646, 1962, 13782, 1058, 18521, 3473, 2924, 27285, 1687, 2155, 1178, 5348, 2477, 1088, 1236, 1005, 1298, 1178, 2080, 2270, 2654, 1160, 13122, 1072, 4244, 1262, 1303, 5473, 4741, 1818, 1229, 1620, 1184, 1511, 1299, 1325, 9485, 1009, 3066, 1009, 12939, 2340, 1006, 3374, 1325, 2220, 1531, 3895, 8348, 1005, 2289, 1048, 8981, 1026, 1784, 1271, 6194, 1225, 1048, 1058, 10927, 2969, 1667, 7804, 3004, 1006, 4614, 1298, 3754, 1068, 1299, 2688, 1327, 1124, 5426, 16594, 1005, 1026, 1048, 3230, 2265, 1800, 1048, 1050, 5254, 1006, 1058, 4531, 4741, 1818, 1229, 1309, 1616, 1298, 5525, 6153, 6346, 19521, 11026, 1294, 1160, 4319, 1044, 3066, 1009, 8570, 2414, 2276, 1989, 16951, 1009, 3164, 1048, 2739, 13151, 12524, 1046, 3230, 1160, 4616, 1938, 1554, 1776, 2268, 1225, 1229, 1118, 3018, 13468, 1048, 1058, 9751, 6880, 2246, 1225, 1006, 26024, 1009, 7620, 6035, 1833, 15245, 19521, 1138, 2930, 7051, 1096, 3374, 11845, 1005, 8958, 1126, 2276, 10074, 2404, 1160, 14961, 2155, 1178, 1044, 16951, 1068, 4531, 1094, 3733, 1543, 5304, 2654, 22832, 1060, 2511, 5521, 1006, 3733, 17405, 1976, 1261, 18019, 3774, 3336, 2457, 2814, 4702, 1132, 4106, 1184, 29376, 8651, 5224, 1048, 6011, 1094, 7930, 2051, 8183, 21750, 1005, 1048, 1026, 2999, 19448, 1160, 6787, 1261, 3177, 1006, 1857, 2453, 1271, 2089, 3056, 5117, 1273, 5754, 1503, 2449, 2307, 2453, 1005, 1503, 3002, 27958, 1068, 27577, 2858, 14817, 14830, 1005, 13468, 1048, 1596, 6626, 1118, 6353, 2170, 1043, 1094, 1419, 2841, 5195, 5216, 6470, 1094, 7930, 2051, 14120, 1005, 1616, 15593, 2569, 1094, 6894, 1048, 10030, 8236, 1026, 1807, 10445, 1309, 1132, 12094, 19302, 11825, 1048, 2122, 3733, 4292, 1005, 1160, 13589, 4537, 1495, 1687, 1009, 10882, 3819, 18, 2340, 1160, 4548, 1054, 13151, 1040, 17477, 2605, 1058, 1503, 2449, 1094, 3733, 5856, 2307, 2453, 2246, 3530, 26723, 1511, 5588, 8134, 2971, 1646, 1009, 10335, 3586, 20470, 2307, 22914, 1418, 31737, 1471, 2237, 2104, 3733, 1543, 5304, 1505, 5052, 1068, 2452, 1930, 1299, 1225, 1048, 1848, 1114, 2573, 1049, 6035, 1005, 9364, 1068, 6530, 1026, 29880, 1048, 1264, 4616, 1803, 1005, 2237, 1096, 1094, 7922, 1060, 3832, 1009, 23955, 1206, 4473, 1043, 5391, 1503, 2449, 4106, 14182, 1996, 1060, 3832, 1009, 3886, 1048, 6011, 1094, 7930, 2051, 1493, 16812, 6011, 1094, 6894, 8962, 1005, 1058, 1044, 20238, 4659, 1054, 1044, 1058, 2005, 4889, 1264, 6787, 4883, 20, 1063, 4614, 1225, 14830, 2307, 22914, 30462, 1054, 12939, 1048, 1058, 1094, 3271, 8290, 1054, 2848, 13151, 1318, 30462, 1054, 1673, 1400, 1159, 12356, 2307, 1072, 3709, 1060, 4930, 1687, 1160, 2155, 13365, 20, 7804, 1072, 2930, 6204, 1026, 16951, 1160, 1325, 1173, 4404, 1069, 1233, 3164, 1184, 5530, 1009, 2218, 2094, 8261, 6119, 18, 1006, 18019, 11444, 1173, 4404, 1140, 1233, 9120, 1049, 2999, 19448, 1261, 28936, 1048, 1318, 1325, 13742, 1233, 7930, 2051, 6153, 6346, 19521, 1084, 1616, 1096, 1657, 1044, 1187, 11278, 1833, 15245, 19521, 2605, 1006, 18019, 11444, 1160, 1096, 1159, 30029, 1096, 2637, 1068, 1178, 5313, 4457, 3735, 1006, 2462, 6720, 1323, 4960, 1005, 1503, 3611, 1077, 18019, 3774, 1961, 1616, 1160, 1096, 2637, 6189, 1100, 1160, 1225, 1094, 2618, 1009, 7245, 6553, 1377, 7804, 1096, 1044, 2011, 9150, 1100, 1072, 1428, 1318, 1058, 16678, 1026, 2011, 1049, 5117, 1304, 1043, 1026, 15591, 1060, 3374, 20, 7027, 1132, 4278, 4343, 1178, 5313, 1402, 28087, 6153, 6346, 19521, 1084, 1072, 1082, 3642, 1123, 15720, 3230, 9359, 25984, 1657, 1118, 1094, 4380, 1009, 14069, 29671, 18, 16505, 1160, 2373, 1193, 1170, 26807, 4324, 1309, 2373, 1193, 1170, 6880, 8226, 1063, 5530, 5117, 1896, 1318, 3533, 1076, 1589, 1006, 22815, 23033, 2645, 1838, 1112, 8785, 15, 1996, 1049, 2285, 1009, 3806, 1009, 18351, 13468, 1005, 1068, 6879, 1930, 1118, 3018, 1006, 1048, 1836, 1584, 14829, 1140, 1356, 6035, 20, 11203, 4106, 1584, 14829, 2585, 2829, 7843, 1402, 1159, 6880, 1356, 16951, 1060, 19595, 1149, 1833, 15245, 19521, 10770, 4319, 2542, 1828, 3139, 1009, 16592, 4726, 10028, 1294, 2688, 1664, 1132, 6353, 4571, 1412, 1005, 12080, 1068, 1006, 6855, 1049, 6872, 20, 4378, 1096, 1094, 3733, 26950, 7804, 1006, 4380, 1049, 1584, 13192, 1072, 19669, 1298, 1650, 8357, 1094, 3733, 2127, 14435, 2013, 2143, 16951, 20, 3316, 4380, 1048, 4292, 1072, 2658, 1048, 6293, 1044, 6902, 2127, 1096, 1048, 2088, 6638, 1026 ]

[ 23, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 24, 3914, 3295, 18242, 24, 1232, 675, 1232, 2322, 2279, 5073, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 1254, 25, 4194, 3295, 18242, 25, 1232, 675, 1232, 2224, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 26, 3914, 3295, 18242, 26, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 27, 3914, 3295, 18242, 27, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 28, 3914, 3295, 18242, 28, 1232, 675, 1232, 2224, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 29, 3914, 3295, 18242, 29, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 30, 3914, 3295, 18242, 30, 1232, 675, 1232, 1984, 2279, 5073, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 1254, 31, 3914, 3295, 18242, 31, 1232, 675, 1232, 2322, 2279, 5073, 1232, 23622, 1029, 182, 1232, 9510, 1232, 1711, 1232, 8963, 1839, 3914, 3295, 2721, 1839, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 2830, 3914, 3295, 2721, 2830, 1232, 675, 1232, 2322, 2279, 5073, 1232, 9664, 1232, 9002, 4285, 1617, 1232, 1711, 1232, 8963, 2944, 4194, 3295, 2721, 2944, 1232, 675, 1232, 2322, 2279, 5073, 1232, 9664, 1232, 9002, 4285, 1617, 1232, 1711, 1232, 8963, 3612, 3914, 3295, 2721, 3612, 1232, 675, 1232, 2322, 2279, 5073, 1232, 9664, 1232, 9002, 4285, 1617, 1232, 1711, 1232, 8963, 3502, 3914, 3295, 2721, 3502, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3452, 3914, 3295, 2721, 3452, 1232, 675, 1232, 3727, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3487, 3914, 3295, 2721, 3487, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3665, 3914, 3295, 2721, 3665, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3430, 3914, 3295, 2721, 3430, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 1442, 3914, 3295, 2721, 1442, 1232, 675, 1232, 3727, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 1404, 3914, 3295, 2721, 1404, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 2337, 3914, 3295, 2721, 2337, 1232, 675, 1232, 3771, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 2708, 3914, 3295, 2721, 2708, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3459, 3914, 3295, 2721, 3459, 1232, 675, 1232, 3939, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3531, 3914, 3295, 2721, 3531, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3413, 3914, 3295, 2721, 3413, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3876, 3914, 3295, 2721, 3876, 1232, 675, 1232, 3939, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3851, 3914, 3295, 2721, 3851, 1232, 675, 1232, 2128, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3989, 3914, 3295, 2721, 3989, 1232, 675, 1232, 2128, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 4059, 3914, 3295, 2721, 4059, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 2721, 3914, 3295, 2721, 2721, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5940, 3914, 3295, 2721, 5940, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5784, 3914, 3295, 2721, 5784, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4406, 3914, 3295, 2721, 4406, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4990, 3914, 3295, 2721, 4990, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4673, 3914, 3295, 2721, 4673, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4994, 3914, 3295, 2721, 4994, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4943, 3914, 3295, 2721, 4943, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5963, 3914, 3295, 2721, 5963, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5235, 3914, 3295, 2721, 5235, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 3949, 3914, 3295, 2721, 3949, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8037, 3914, 3295, 2721, 8037, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8121, 30618, 5881, 30871, 3295, 2721, 8121, 1232, 675, 1232, 1101, 1286, 5073, 1232, 8308, 12646, 17878, 1232, 1062, 3828, 2428, 1232, 1711, 1232, 8963, 7157, 3914, 3295, 2721, 7157, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 5402, 3914, 3295, 2721, 5402, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 4368, 3914, 3295, 2721, 4368, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 6259, 3914, 3295, 2721, 6259, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5871, 3914, 3295, 2721, 5871, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 6507, 3914, 3295, 2721, 6507, 1232, 675, 1232, 1083, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 5900, 3914, 3295, 2721, 5900, 1232, 675, 1232, 1101, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 2704, 30618, 5881, 30871, 3295, 2721, 2704, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 14392, 3914, 3295, 2721, 14392, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 12580, 4194, 3295, 2721, 12580, 1232, 675, 1232, 1422, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 25611, 1814, 1232, 8963, 10301, 3914, 3295, 2721, 10301, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 10701, 4194, 3295, 2721, 10701, 1232, 675, 1232, 1422, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 5003, 3914, 3295, 2721, 5003, 1232, 675, 1232, 1487, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 9621, 3914, 3295, 2721, 9621, 1232, 675, 1232, 1422, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 10344, 3914, 3295, 2721, 10344, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 9595, 3914, 3295, 2721, 9595, 1232, 675, 1232, 1487, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 6955, 3914, 3295, 2721, 6955, 1232, 675, 1232, 1487, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4160, 3914, 3295, 2721, 4160, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 14525, 3914, 3295, 2721, 14525, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 11605, 3914, 3295, 2721, 11605, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 9132, 3914, 3295, 2721, 9132, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4655, 3914, 3295, 2721, 4655, 1232, 675, 1232, 1799, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5562, 3914, 3295, 2721, 5562, 1232, 675, 1232, 1779, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 5861, 3914, 3295, 2721, 5861, 1232, 675, 1232, 1799, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 6991, 3914, 3295, 2721, 6991, 1232, 675, 1232, 1799, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 7795, 3914, 3295, 2721, 7795, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 6795, 3914, 3295, 2721, 6795, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4700, 3914, 3295, 2721, 4700, 1232, 675, 1232, 1844, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 13113, 3914, 3295, 2721, 13113, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8360, 3914, 3295, 2721, 8360, 1232, 675, 1232, 1779, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 8694, 3914, 3295, 2721, 8694, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 7678, 30618, 5881, 30871, 3295, 2721, 7678, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5515, 3914, 3295, 2721, 5515, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 6418, 3914, 3295, 2721, 6418, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5248, 3914, 3295, 2721, 5248, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5988, 3914, 3295, 2721, 5988, 1232, 675, 1232, 1782, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 6101, 3914, 3295, 2721, 6101, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 3663, 3914, 3295, 2721, 3663, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 12445, 3914, 3295, 2721, 12445, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 10703, 3914, 3295, 2721, 10703, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8053, 3914, 3295, 2721, 8053, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5205, 3914, 3295, 2721, 5205, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4705, 3914, 3295, 2721, 4705, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4829, 3914, 3295, 2721, 4829, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4969, 3914, 3295, 2721, 4969, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4325, 3914, 3295, 2721, 4325, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4754, 3914, 3295, 2721, 4754, 1232, 675, 1232, 1782, 1286, 5073, 1232, 19813, 17215, 1232, 14347, 3920, 1232, 1711, 1232, 8963, 4332, 3914, 3295, 2721, 4332, 1232, 675, 1232, 1984, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 12730, 3914, 3295, 2721, 12730, 1232, 675, 1232, 2475, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 11748, 3914, 3295, 2721, 11748, 1232, 675, 1232, 3771, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 11548, 3914, 3295, 2721, 11548, 1232, 675, 1232, 3939, 1286, 5073, 1232, 1144, 1185, 18854, 1232, 14744, 1165, 1007, 3801, 31922, 1232, 1711, 1232, 8963, 10997, 3914, 3295, 2721, 10997, 1232, 675, 1232, 3771, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 7777, 3914, 3295, 2721, 7777, 1232, 675, 1232, 2595, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 9742, 3914, 3295, 2721, 9742, 1232, 675, 1232, 2595, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 10254, 3914, 3295, 2721, 10254, 1232, 675, 1232, 2595, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 7560, 3914, 3295, 2721, 7560, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 3990, 3914, 3295, 2721, 3990, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 8259, 3914, 3295, 5940, 1254, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2003, 5340, 2708, 25, 1839, 24958, 2708, 25, 2102, 21995, 5594, 2056, 3887, 3295, 25, 1839, 23, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 1839, 24, 3914, 3295, 25, 1839, 24, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 1839, 25, 4194, 3295, 25, 1839, 25, 1232, 675, 1232, 3939, 1286, 5073, 1232, 19813, 17215, 1232, 14347, 3920, 1232, 1711, 1232, 2108, 1839, 26, 3914, 3295, 25, 1839, 26, 1232, 675, 1232, 2595, 1286, 5073, 1232, 19813, 17215, 1232, 14347, 3920, 1232, 1711, 1232, 2108, 1839, 27, 3914, 3295, 25 ]

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

[ 23, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 24, 3914, 3295, 18242, 24, 1232, 675, 1232, 2322, 2279, 5073, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 1254, 25, 4194, 3295, 18242, 25, 1232, 675, 1232, 2224, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 26, 3914, 3295, 18242, 26, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 27, 3914, 3295, 18242, 27, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 28, 3914, 3295, 18242, 28, 1232, 675, 1232, 2224, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 29, 3914, 3295, 18242, 29, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 1254, 30, 3914, 3295, 18242, 30, 1232, 675, 1232, 1984, 2279, 5073, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 1254, 31, 3914, 3295, 18242, 31, 1232, 675, 1232, 2322, 2279, 5073, 1232, 23622, 1029, 182, 1232, 9510, 1232, 1711, 1232, 8963, 1839, 3914, 3295, 2721, 1839, 1232, 675, 1232, 2523, 2279, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 2830, 3914, 3295, 2721, 2830, 1232, 675, 1232, 2322, 2279, 5073, 1232, 9664, 1232, 9002, 4285, 1617, 1232, 1711, 1232, 8963, 2944, 4194, 3295, 2721, 2944, 1232, 675, 1232, 2322, 2279, 5073, 1232, 9664, 1232, 9002, 4285, 1617, 1232, 1711, 1232, 8963, 3612, 3914, 3295, 2721, 3612, 1232, 675, 1232, 2322, 2279, 5073, 1232, 9664, 1232, 9002, 4285, 1617, 1232, 1711, 1232, 8963, 3502, 3914, 3295, 2721, 3502, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3452, 3914, 3295, 2721, 3452, 1232, 675, 1232, 3727, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3487, 3914, 3295, 2721, 3487, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3665, 3914, 3295, 2721, 3665, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3430, 3914, 3295, 2721, 3430, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 1442, 3914, 3295, 2721, 1442, 1232, 675, 1232, 3727, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 1404, 3914, 3295, 2721, 1404, 1232, 675, 1232, 3734, 2279, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 2337, 3914, 3295, 2721, 2337, 1232, 675, 1232, 3771, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 2708, 3914, 3295, 2721, 2708, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3459, 3914, 3295, 2721, 3459, 1232, 675, 1232, 3939, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3531, 3914, 3295, 2721, 3531, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3413, 3914, 3295, 2721, 3413, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3876, 3914, 3295, 2721, 3876, 1232, 675, 1232, 3939, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 3851, 3914, 3295, 2721, 3851, 1232, 675, 1232, 2128, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 3989, 3914, 3295, 2721, 3989, 1232, 675, 1232, 2128, 2279, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 4059, 3914, 3295, 2721, 4059, 1232, 675, 1232, 3771, 2279, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 2721, 3914, 3295, 2721, 2721, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5940, 3914, 3295, 2721, 5940, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5784, 3914, 3295, 2721, 5784, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4406, 3914, 3295, 2721, 4406, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4990, 3914, 3295, 2721, 4990, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4673, 3914, 3295, 2721, 4673, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4994, 3914, 3295, 2721, 4994, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4943, 3914, 3295, 2721, 4943, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5963, 3914, 3295, 2721, 5963, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5235, 3914, 3295, 2721, 5235, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 3949, 3914, 3295, 2721, 3949, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8037, 3914, 3295, 2721, 8037, 1232, 675, 1232, 1101, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8121, 30618, 5881, 30871, 3295, 2721, 8121, 1232, 675, 1232, 1101, 1286, 5073, 1232, 8308, 12646, 17878, 1232, 1062, 3828, 2428, 1232, 1711, 1232, 8963, 7157, 3914, 3295, 2721, 7157, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 5402, 3914, 3295, 2721, 5402, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 4368, 3914, 3295, 2721, 4368, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 6259, 3914, 3295, 2721, 6259, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5871, 3914, 3295, 2721, 5871, 1232, 675, 1232, 1083, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 6507, 3914, 3295, 2721, 6507, 1232, 675, 1232, 1083, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 5900, 3914, 3295, 2721, 5900, 1232, 675, 1232, 1101, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 2704, 30618, 5881, 30871, 3295, 2721, 2704, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 14392, 3914, 3295, 2721, 14392, 1232, 675, 1232, 1307, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 12580, 4194, 3295, 2721, 12580, 1232, 675, 1232, 1422, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 25611, 1814, 1232, 8963, 10301, 3914, 3295, 2721, 10301, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 10701, 4194, 3295, 2721, 10701, 1232, 675, 1232, 1422, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 5003, 3914, 3295, 2721, 5003, 1232, 675, 1232, 1487, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 9621, 3914, 3295, 2721, 9621, 1232, 675, 1232, 1422, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 10344, 3914, 3295, 2721, 10344, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 9595, 3914, 3295, 2721, 9595, 1232, 675, 1232, 1487, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 6955, 3914, 3295, 2721, 6955, 1232, 675, 1232, 1487, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4160, 3914, 3295, 2721, 4160, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 14525, 3914, 3295, 2721, 14525, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 11605, 3914, 3295, 2721, 11605, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 9132, 3914, 3295, 2721, 9132, 1232, 675, 1232, 1422, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4655, 3914, 3295, 2721, 4655, 1232, 675, 1232, 1799, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 5562, 3914, 3295, 2721, 5562, 1232, 675, 1232, 1779, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 5861, 3914, 3295, 2721, 5861, 1232, 675, 1232, 1799, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 6991, 3914, 3295, 2721, 6991, 1232, 675, 1232, 1799, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 7795, 3914, 3295, 2721, 7795, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 6795, 3914, 3295, 2721, 6795, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4700, 3914, 3295, 2721, 4700, 1232, 675, 1232, 1844, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 13113, 3914, 3295, 2721, 13113, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8360, 3914, 3295, 2721, 8360, 1232, 675, 1232, 1779, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 8694, 3914, 3295, 2721, 8694, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 7678, 30618, 5881, 30871, 3295, 2721, 7678, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5515, 3914, 3295, 2721, 5515, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 6418, 3914, 3295, 2721, 6418, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5248, 3914, 3295, 2721, 5248, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5988, 3914, 3295, 2721, 5988, 1232, 675, 1232, 1782, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 6101, 3914, 3295, 2721, 6101, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 3663, 3914, 3295, 2721, 3663, 1232, 675, 1232, 1844, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 12445, 3914, 3295, 2721, 12445, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 10703, 3914, 3295, 2721, 10703, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 8053, 3914, 3295, 2721, 8053, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 5205, 3914, 3295, 2721, 5205, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4705, 3914, 3295, 2721, 4705, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4829, 3914, 3295, 2721, 4829, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4969, 3914, 3295, 2721, 4969, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4325, 3914, 3295, 2721, 4325, 1232, 675, 1232, 1782, 1286, 5073, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 8963, 4754, 3914, 3295, 2721, 4754, 1232, 675, 1232, 1782, 1286, 5073, 1232, 19813, 17215, 1232, 14347, 3920, 1232, 1711, 1232, 8963, 4332, 3914, 3295, 2721, 4332, 1232, 675, 1232, 1984, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 12730, 3914, 3295, 2721, 12730, 1232, 675, 1232, 2475, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 11748, 3914, 3295, 2721, 11748, 1232, 675, 1232, 3771, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 11548, 3914, 3295, 2721, 11548, 1232, 675, 1232, 3939, 1286, 5073, 1232, 1144, 1185, 18854, 1232, 14744, 1165, 1007, 3801, 31922, 1232, 1711, 1232, 8963, 10997, 3914, 3295, 2721, 10997, 1232, 675, 1232, 3771, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 7777, 3914, 3295, 2721, 7777, 1232, 675, 1232, 2595, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 9742, 3914, 3295, 2721, 9742, 1232, 675, 1232, 2595, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 8963, 10254, 3914, 3295, 2721, 10254, 1232, 675, 1232, 2595, 1286, 5073, 1232, 31470, 1232, 9510, 1232, 1711, 1232, 8963, 7560, 3914, 3295, 2721, 7560, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 8963, 3990, 3914, 3295, 2721, 3990, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 8259, 3914, 3295, 5940, 1254, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2003, 5340, 2708, 25, 1839, 24958, 2708, 25, 2102, 21995, 5594, 2056, 3887, 3295, 25, 1839, 23, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 1839, 24, 3914, 3295, 25, 1839, 24, 1232, 675, 1232, 4984, 1286, 5073, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 1839, 25, 4194, 3295, 25, 1839, 25, 1232, 675, 1232, 3939, 1286, 5073, 1232, 19813, 17215, 1232, 14347, 3920, 1232, 1711, 1232, 2108, 1839, 26, 3914, 3295, 25, 1839, 26, 1232, 675, 1232, 2595, 1286, 5073, 1232, 19813, 17215, 1232, 14347, 3920, 1232, 1711, 1232, 2108, 1839, 27, 3914, 3295, 25 ]

[ 3296, 2310, 1257, 1257, 1257, 26953, 2634, 2882, 71, 18195, 1072, 1561, 1054, 2128, 3876, 1, 4378, 1096, 1094, 10074, 2404, 1060, 11485, 16193, 9549, 3204, 3041, 5090, 1043, 1026, 22983, 1213, 5634, 1045, 4862, 73, 1140, 1054, 3727, 1009, 3353, 1009, 3067, 2394, 1005, 12007, 1054, 1083, 1009, 2992, 1009, 18165, 27183, 10301, 5, 3876, 1009, 3353, 32, 2188, 13376, 1213, 5634, 1045, 4862, 73, 23091, 1082, 4179, 17939, 12323, 1480, 1288, 1026, 4133, 1009, 31447, 11236, 1942, 1046, 1044, 6147, 1054, 5634, 1045, 7256, 1009, 4862, 73, 1140, 1054, 14202, 1009, 16193, 1377, 23698, 1060, 11485, 16193, 1685, 1059, 3487, 1009, 3268, 32, 31447, 1096, 14613, 1006, 1984, 1646, 1009, 6862, 27183, 10701, 1759, 1095, 1545, 32, 6053, 1924, 1367, 1052, 7032, 1233, 7022, 1049, 8114, 27183, 5003, 5961, 1009, 3261, 32, 11236, 1005, 1456, 18058, 2225, 1046, 1026, 12819, 31181, 1304, 3727, 1009, 9350, 3306, 30891, 20835, 1442, 9621, 5, 3413, 1009, 3113, 32, 11236, 1005, 26156, 13220, 1386, 1040, 1009, 14202, 1009, 4062, 2929, 20706, 3306, 5728, 1221, 15, 1043, 5675, 1006, 18596, 1006, 14089, 1049, 11217, 1133, 12982, 1183, 19574, 1009, 3049, 32, 12982, 1183, 10512, 9461, 1233, 9829, 11759, 2346, 1280, 12803, 1114, 5704, 12232, 1685, 1009, 13171, 27183, 10344, 5, 2721, 1009, 3353, 32, 1138, 31722, 12232, 1577, 4321, 6432, 1096, 23259, 1463, 4268, 1009, 14202, 1009, 18596, 1357, 6935, 14975, 1009, 3113, 32, 2034, 25725, 5629, 5428, 5998, 9708, 2274, 1026, 5428, 26470, 27793, 1026, 3344, 7376, 31181, 1304, 1005, 1734, 4571, 1046, 1026, 1073, 4580, 1009, 20412, 27183, 9595, 8682, 1009, 3261, 32, 31447, 11236, 9301, 1006, 3781, 3225, 1072, 1908, 1059, 31, 1009, 2436, 32, 31447, 11236, 1096, 6738, 7778, 2357, 1049, 12819, 3727, 1009, 4510, 4075, 1846, 1009, 19190, 1024, 1006, 14966, 2357, 1009, 1844, 1009, 3149, 25479, 1118, 1026, 1082, 30891, 1059, 3989, 1009, 3370, 1006, 1799, 1009, 3383, 32, 12689, 17866, 84, 1667, 29119, 1006, 3186, 1009, 3353, 32, 6215, 1020, 1525, 4744, 1049, 7783, 11967, 1045, 1131, 1114, 4095, 1009, 2231, 1180, 1122, 177, 1802, 10556, 1009, 2955, 2861, 10402, 1308, 4059, 1009, 3353, 1006, 1799, 1009, 3383, 32, 10556, 1009, 11759, 22781, 1059, 1404, 1009, 3113, 1006, 2595, 1009, 3113, 32, 10556, 1009, 1924, 4719, 1059, 3452, 1009, 3049, 1006, 1083, 1009, 2992, 1009, 18165, 32, 10556, 1009, 3584, 17651, 24127, 1006, 2595, 1009, 3049, 32, 10556, 1009, 21785, 2091, 1420, 95, 27183, 6955, 8682, 1009, 2992, 32, 1134, 3464, 1447, 1047, 15758, 3497, 6415, 1213, 5333, 1009, 2670, 1060, 18596, 1005, 5718, 1925, 1026, 7751, 20936, 1060, 11485, 16193, 1685, 19574, 1009, 2992, 32, 2034, 9109, 1009, 6053, 1924, 1367, 1052, 1005, 1983, 2253, 1062, 4869, 76, 91, 1259, 1010, 14110, 1006, 16674, 1685, 28476, 1009, 2992, 32, 8110, 17249, 1892, 1034, 1096, 6738, 6168, 1060, 18596, 1059, 30, 1009, 2992, 32, 31447, 6224, 1054, 16674, 1685, 1059, 3487, 1009, 3403, 32, 31447, 11236, 14061, 11472, 79, 159, 1060, 18596, 1054, 13051, 1009, 8492, 1082, 2060, 8572, 2801, 3818, 2310, 1797, 2440, 2404, 1060, 11485, 16193, 1685, 4932, 7036, 11781, 2440, 2404, 12232, 1685, 2271, 1006, 13010, 19002, 1118, 31447, 25957, 1049, 2788, 6371, 1027, 7796, 18, 3447, 1069, 1054, 9801, 10867, 23994, 1797, 2440, 2404, 1060, 11485, 16193, 5221, 1060, 12862, 1561, 29675, 3447, 1069, 1054, 9801, 10867, 23994, 10284, 1367, 1078, 13617, 85, 16193, 1685, 27419, 7876, 16193, 1685, 5, 29279, 2404, 1060, 11485, 16193, 1685, 1, 1063, 2700, 11011, 1497, 1083, 31942, 1083, 2536, 1083, 31942, 1083, 2536, 9469, 9469, 9469, 1096, 3806, 2700, 1009, 10322, 1803, 1054, 7419, 1213, 7184, 13779, 15044, 1005, 24759, 10212, 2397, 12017, 1924, 1188, 10322, 1803, 1048, 1054, 2128, 12594, 9009, 5278, 1009, 6522, 1322, 2237, 23442, 2013, 1094, 2700, 17448, 3017, 1026, 1048, 18168, 1048, 1160, 3134, 1044, 2161, 1009, 11954, 1072, 5239, 1274, 2006, 1060, 31161, 1505, 2143, 6079, 1006, 1224, 11954, 1009, 24638, 149, 1035, 1096, 1083, 24003, 5148, 9860, 79, 1, 23477, 1027, 2013, 89, 1364, 2794, 3912, 17367, 1049, 7141, 71, 18753, 18, 3727, 1009, 9499, 1009, 21418, 15, 1096, 1044, 8746, 1005, 31888, 1291, 4011, 9505, 1044, 1187, 5169, 1184, 2821, 4535, 1049, 12610, 80, 5941, 1876, 15798, 3126, 1044, 1187, 2203, 1544, 1049, 7436, 1163, 3017, 1213, 2790, 1009, 3236, 2434, 1009, 15884, 1005, 12083, 30159, 1100, 1114, 10454, 15148, 1347, 1009, 1764, 10533, 7436, 1291, 1005, 31888, 3382, 9110, 1054, 6782, 1357, 8438, 1009, 6782, 1060, 3175, 6806, 1096, 1044, 1187, 5169, 1184, 2821, 4535, 1049, 12610, 80, 5941, 1876, 1072, 1561, 9414, 1009, 1569, 4029, 5625, 1096, 1235, 4894, 4592, 6039, 8878, 1224, 4005, 1340, 6413, 1235, 2468, 1927, 14166, 3313, 1029, 1104, 1027, 2013, 89, 1364, 2845, 1159, 1555, 1088, 2212, 1054, 30075, 1114, 10454, 16895, 1049, 2709, 11372, 16070, 4917, 1159, 10454, 12384, 90, 28732, 1126, 1571, 1264, 18502, 1006, 3907, 6672, 1288, 1124, 1080, 19764, 1312, 1049, 27217, 1009, 1764, 13401, 1565, 4567, 1009, 2848, 2864, 1195, 1068, 1006, 10454, 21564, 1048, 22265, 1213, 5549, 15148, 5600, 1571, 19033, 1026, 5333, 1009, 2201, 29333, 1118, 2539, 1646, 1658, 1310, 6452, 1118, 2848, 9683, 1026, 7436, 1163, 3017, 1213, 2790, 1009, 3236, 2434, 1009, 31395, 1114, 10454, 15148, 1347, 1764, 10533, 1138, 2868, 1096, 18895, 1049, 8030, 1138, 2561, 18119, 3426, 1009, 14395, 2152, 1162, 1007, 1197, 20, 1063, 1455, 3471, 1272, 1009, 3647, 1006, 9782, 1049, 2868, 1138, 2561, 18119, 3426, 1048, 10985, 1195, 20247, 1935, 2433, 24882, 1233, 1749, 2037, 2340, 2152, 1162, 1007, 1197, 1516, 1493, 2572, 4457, 2605, 1132, 1791, 11863, 3647, 1006, 9782, 1060, 11010, 1098, 16042, 5916, 1495, 1132, 2250, 1009, 8067, 14142, 1233, 3349, 1049, 2868, 2271, 2226, 3218, 1482, 8260, 1009, 3403, 1009, 7267, 23477, 1027, 4454, 1026, 7436, 1163, 1091, 1068, 1663, 1751, 1049, 10454, 13293, 1006, 2323, 1049, 1531, 2475, 1049, 1592, 22085, 1482, 3042, 1049, 1592, 4183, 1094, 4680, 6521, 1213, 7436, 1163, 1091, 8171, 1224, 12249, 1271, 3638, 4085, 20, 5845, 1006, 30880, 23477, 1027, 1160, 3579, 12476, 1006, 4497, 1009, 1058, 28594, 18, 1309, 4454, 1094, 9418, 32, 1026, 3970, 1047, 1009, 1261, 17637, 1894, 1009, 23457, 3437, 9404, 1060, 5293, 15520, 9689, 1005, 24665, 6580, 1049, 4304, 80, 5941, 13475, 3613, 1060, 4561, 13776, 1774, 1316, 1188, 1357, 7049, 15148, 1347, 2286, 21440, 31390, 1026, 2868, 1009, 16842, 18240, 1060, 29329, 11662, 1357, 3546, 5027, 20, 1138, 2868, 1195, 11271, 1357, 3808, 6521, 1009, 21907, 2960, 3097, 1040, 2992, 1009, 13656, 6592, 1742, 4693, 23613, 1009, 3659, 1054, 1094, 6727, 1461, 22717, 7661, 20, 2656, 27436, 1048, 2122, 2909, 1224, 12160, 1005, 3048, 2072, 2574, 1048, 2909, 1094, 3560, 1009, 3189, 1005, 2072, 16844, 1079, 5304, 8384, 1114, 10454, 15148, 5600, 23477, 1027, 2013, 89, 1364, 1325, 1837, 3251, 9683, 7053, 5090, 28694, 1118, 4234, 3229, 1060, 16451, 11509, 1132, 3145, 14267, 30845, 22451, 2770, 1493, 1318, 1009, 1848, 1663, 9666, 1009, 30280, 15686, 3699, 8538, 1406, 1072, 1710, 1399, 1027, 1049, 5603, 1060, 1063, 1781, 1053, 2094, 1571, 3396, 1114, 3861, 9218, 7407, 9075, 71, 2289, 1068, 11318, 73, 1803, 1224, 2133, 5954, 10995, 1009, 1871, 1613, 7861, 3567, 3735, 4327, 1026, 4793, 1126, 1160, 1298, 5392, 1305, 15195, 1124, 1086, 22227, 1053, 1728, 23477, 1027, 1096, 3745, 175, 3420, 1005, 1225, 675, 2125, 675, 19189, 5024, 4478, 1009, 3152, 1096, 1026, 13146, 1005, 15402, 22414, 1356, 7341, 1060, 1063, 1781, 1053, 1112, 1592, 1054, 10817, 7371, 5941, 1573, 1049, 2497, 1009, 1764, 2434, 28513, 1009, 14045, 17481, 6577, 1009, 3584, 17367, 1049, 7141, 71, 18753, 3141, 1019, 1230, 1573, 1049, 2497, 1009, 1764, 2434, 5481, 11325, 10736, 83, 8433, 1302, 1065, 92, 7796, 10174, 1047, 23818, 9892, 1029, 4852, 85, 24876, 14878, 1364, 20, 1767, 83, 1, 1156, 2801, 1071, 134, 1574, 1029, 91, 1053, 1062, 5069, 1054, 9163, 2570, 1221, 1349, 1096, 1094, 4671, 6140, 6370, 1213, 26643, 1271, 1207, 158, 3397, 1580, 1060, 16959, 10521, 1257, 47, 2801, 11214, 1006, 2916, 1009, 1101, 2718, 1060, 8506, 1009, 1082, 4027, 20, 3882, 1610, 2016, 1043, 1094, 2779, 24901, 1009, 23129, 1096, 2916, 1009, 1101, 2718, 1009, 8759, 1005, 1675, 2718, 20, 1063, 4606, 2404, 1060, 6140, 9165, 3587, 1054, 3041, 24038, 1258, 1199, 2095, 1086, 84, 1102, 5104, 17752, 1423, 1043, 1128, 2641, 1038, 1081, 1423, 1009, 17991, 7522, 8499, 1074, 1049, 2790, 19866, 1005, 6941, 1744, 1362, 23153, 1009, 11569, 1177, 15830, 1463, 17819, 4352, 5048, 2800, 1734, 6453, 2254, 88, 1580, 1357, 20504, 1049, 9720, 4906, 4548, 10486, 7147, 33, 1006, 3364, 4313, 1325, 4236, 1060, 6661, 1415, 16198, 1230, 2378, 17108, 1184, 3910, 1049, 1156, 2801, 1096, 1119, 174, 84, 675, 134, 18, 26095, 4722, 2457, 1044, 3838, 1060, 31772, 1060, 5293, 1049, 6102, 3164, 1077, 1009, 3114, 1063, 8892, 1479, 1360, 10710, 20, 1062, 15117, 19480, 12867, 1049, 1156, 2801, 5241, 1006, 28984, 1072, 4249, 1049, 16964, 1005, 1062, 149, 22421, 1062, 174, 82, 6399, 2013, 1130, 8099, 7100, 31772, 10178, 18117, 84, 1009, 1655, 11052, 1636, 1157, 1006, 67, 2922, 1068, 1006, 13937, 1349, 1973, 1178, 23055, 1091, 1233, 9829, 1571, 1809, 2346, 1036, 2841, 10512, 31774, 1357, 1944, 1472, 1658, 2751, 4113, 2094, 4725, 1114, 23460, 1009, 1809, 8887, 1056, 1072, 2790, 19866, 1060, 27682, 1770, 5035, 3474, 3951, 1082, 167, 88, 1005, 1318, 1096, 4485, 29704, 1159, 7426, 12553, 2694, 2100, 1063, 4044, 1378, 5954, 2553, 4261, 1791, 14730, 1060, 27682, 1006, 2573, 1049, 10629, 1005, 1124, 18268, 1049, 30937, 1327, 13765, 1138, 3709, 1009, 4557, 15187, 1085, 1005, 2642, 14939, 1327, 1094, 9636, 16362, 1068, 1026, 3184, 20, 8265, 1106, 149, 84, 2645, 17493, 6548, 15, 9829, 1049, 2790, 8223, 1060, 6140, 1325, 1054, 2573, 1068, 1006, 6392, 1009, 9829, 1049, 1156, 2801, 29970, 28668, 2623, 1137, 2370, 14701, 27190, 1013, 1005, 1015, 5378, 1092, 13317, 1084, 3951, 1056, 11921, 1007, 1038, 78, 1071, 3276, 1060, 11003, 15, 1005, 1084, 3951, 1056, 1574, 1029, 72, 1107, 1071, 3276, 1009, 1080, 1279, 11398, 15, 1213, 20335, 1123, 157, 1038, 78, 1084, 3951, 1056, 1005, 7619, 73, 1082, 78, 1031, 51, 78, 1189, 3208, 1038, 78, 1006, 8223, 1005, 1084, 3951, 1056, 1082, 174, 89, 1053, 1075, 1071, 3276, 1009, 1543, 1164, 9727, 83, 15, 1005, 11989, 6140, 1213, 3821, 20610, 1365, 1026, 26564, 1138, 1050, 1241, 4142, 1348, 1062, 3082, 73, 1218, 7341, 21444, 1094, 7747, 1009, 1963, 1009, 1123, 1440, 1320, 1006, 5041, 1107, 2232, 2044, 1079, 1114, 11989, 1054, 1984, 1009, 3149, 1009, 7976, 2084, 1006, 18350, 1009, 2475, 15105, 1054, 1791, 23544, 3242, 1081, 1036, 1361, 1537, 2642, 14939, 1009, 1156, 2801, 28469, 82, 3035, 1271, 1207, 158, 3397, 1580, 6881, 3923, 6170, 82, 3035, 1049, 16110, 1, 1138, 6120, 1542, 15288, 1005, 26899, 2389, 19586, 2274, 1318, 3201, 1159, 16110, 21, 43, 1013, 1358, 2334, 1096, 1044, 4346, 1588, 2401, 15288, 12131, 1043, 4799, 1114, 1641, 1009, 1084, 1013, 1358, 2334, 1072, 2497, 1049, 2293, 3279, 1049, 13759, 4490, 12205, 1096, 1060, 8576, 1009, 1158, 1009, 3042, 1009, 7976, 2400, 1847, 7662, 1118, 15081, 23657, 8752, 3577, 14169, 1166, 1213, 22946, 13067, 2745, 1006, 9705, 21476, 1159, 1094, 3610, 1009, 31448, 3122, 2166, 15757, 1447, 6063, 8377, 1679, 1998, 73, 4261, 1495, 1048, 1054, 21819, 1596, 4745, 6397, 1124, 20419, 1271, 2179, 8833, 1009, 13483, 1107, 1005, 2712, 1627, 2247, 1060, 17765, 1049, 6491, 1009, 3246, 1113, 23092, 1120, 1069, 9094, 1054, 3383, 1009, 3310, 2525, 1026, 6491, 1009, 3246, 1049, 16110, 9847, 1371, 1357, 7654, 1009, 10757, 1005, 1094, 11012, 1049, 3848, 22081, 1019, 1468, 1009, 1084, 1013, 1358, 2334, 1847, 1026, 11302, 1291, 1060, 26412, 1776, 9104, 10241, 18, 1118, 7828, 2624, 9303, 24577, 9291, 1060, 2752, 31692, 3184, 1060, 7569, 4150, 1368, 1126, 1847, 12899, 1006, 6098, 1060, 6074, 8740, 1049, 3848, 31152, 1009, 4718, 18, 1114, 1428, 1195, 29832, 1118, 2848, 7741, 20, 1063, 8135, 14914, 1118, 2156, 14204, 1006, 6517, 14315, 16512, 1077, 1026, 1235, 1853, 4818, 1114, 5355, 23707, 1996, 1049, 17636, 1271, 3638, 1054, 14157, 1879, 6491, 1009, 3346, 12547, 1049, 1062, 2393, 16110, 1096, 1026, 3872, 1048, 1058, 8491, 3467, 1114, 3633, 3843, 5508, 1069, 1054, 13673, 7918, 1026, 1831, 3479, 2848, 1646, 1986, 18, 9303, 2940, 1371, 6635, 1060, 3595, 8722, 4594, 1009, 30464, 1009, 22564, 4733, 8900, 4306, 18207, 13631, 18, 4064, 1006, 1852, 1060, 6254, 30464, 1009, 9861, 1114, 1428, 1195, 17379, 1356, 1180, 1052, 1103, 14901, 1138, 16110, 9048, 1026, 1831, 26411, 1060, 7987, 8219, 1049, 3848, 31152, 1009, 30464, 1054, 7218 ]

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

[ 3296, 2310, 1257, 1257, 1257, 26953, 2634, 2882, 71, 18195, 1072, 1561, 1054, 2128, 3876, 1, 4378, 1096, 1094, 10074, 2404, 1060, 11485, 16193, 9549, 3204, 3041, 5090, 1043, 1026, 22983, 1213, 5634, 1045, 4862, 73, 1140, 1054, 3727, 1009, 3353, 1009, 3067, 2394, 1005, 12007, 1054, 1083, 1009, 2992, 1009, 18165, 27183, 10301, 5, 3876, 1009, 3353, 32, 2188, 13376, 1213, 5634, 1045, 4862, 73, 23091, 1082, 4179, 17939, 12323, 1480, 1288, 1026, 4133, 1009, 31447, 11236, 1942, 1046, 1044, 6147, 1054, 5634, 1045, 7256, 1009, 4862, 73, 1140, 1054, 14202, 1009, 16193, 1377, 23698, 1060, 11485, 16193, 1685, 1059, 3487, 1009, 3268, 32, 31447, 1096, 14613, 1006, 1984, 1646, 1009, 6862, 27183, 10701, 1759, 1095, 1545, 32, 6053, 1924, 1367, 1052, 7032, 1233, 7022, 1049, 8114, 27183, 5003, 5961, 1009, 3261, 32, 11236, 1005, 1456, 18058, 2225, 1046, 1026, 12819, 31181, 1304, 3727, 1009, 9350, 3306, 30891, 20835, 1442, 9621, 5, 3413, 1009, 3113, 32, 11236, 1005, 26156, 13220, 1386, 1040, 1009, 14202, 1009, 4062, 2929, 20706, 3306, 5728, 1221, 15, 1043, 5675, 1006, 18596, 1006, 14089, 1049, 11217, 1133, 12982, 1183, 19574, 1009, 3049, 32, 12982, 1183, 10512, 9461, 1233, 9829, 11759, 2346, 1280, 12803, 1114, 5704, 12232, 1685, 1009, 13171, 27183, 10344, 5, 2721, 1009, 3353, 32, 1138, 31722, 12232, 1577, 4321, 6432, 1096, 23259, 1463, 4268, 1009, 14202, 1009, 18596, 1357, 6935, 14975, 1009, 3113, 32, 2034, 25725, 5629, 5428, 5998, 9708, 2274, 1026, 5428, 26470, 27793, 1026, 3344, 7376, 31181, 1304, 1005, 1734, 4571, 1046, 1026, 1073, 4580, 1009, 20412, 27183, 9595, 8682, 1009, 3261, 32, 31447, 11236, 9301, 1006, 3781, 3225, 1072, 1908, 1059, 31, 1009, 2436, 32, 31447, 11236, 1096, 6738, 7778, 2357, 1049, 12819, 3727, 1009, 4510, 4075, 1846, 1009, 19190, 1024, 1006, 14966, 2357, 1009, 1844, 1009, 3149, 25479, 1118, 1026, 1082, 30891, 1059, 3989, 1009, 3370, 1006, 1799, 1009, 3383, 32, 12689, 17866, 84, 1667, 29119, 1006, 3186, 1009, 3353, 32, 6215, 1020, 1525, 4744, 1049, 7783, 11967, 1045, 1131, 1114, 4095, 1009, 2231, 1180, 1122, 177, 1802, 10556, 1009, 2955, 2861, 10402, 1308, 4059, 1009, 3353, 1006, 1799, 1009, 3383, 32, 10556, 1009, 11759, 22781, 1059, 1404, 1009, 3113, 1006, 2595, 1009, 3113, 32, 10556, 1009, 1924, 4719, 1059, 3452, 1009, 3049, 1006, 1083, 1009, 2992, 1009, 18165, 32, 10556, 1009, 3584, 17651, 24127, 1006, 2595, 1009, 3049, 32, 10556, 1009, 21785, 2091, 1420, 95, 27183, 6955, 8682, 1009, 2992, 32, 1134, 3464, 1447, 1047, 15758, 3497, 6415, 1213, 5333, 1009, 2670, 1060, 18596, 1005, 5718, 1925, 1026, 7751, 20936, 1060, 11485, 16193, 1685, 19574, 1009, 2992, 32, 2034, 9109, 1009, 6053, 1924, 1367, 1052, 1005, 1983, 2253, 1062, 4869, 76, 91, 1259, 1010, 14110, 1006, 16674, 1685, 28476, 1009, 2992, 32, 8110, 17249, 1892, 1034, 1096, 6738, 6168, 1060, 18596, 1059, 30, 1009, 2992, 32, 31447, 6224, 1054, 16674, 1685, 1059, 3487, 1009, 3403, 32, 31447, 11236, 14061, 11472, 79, 159, 1060, 18596, 1054, 13051, 1009, 8492, 1082, 2060, 8572, 2801, 3818, 2310, 1797, 2440, 2404, 1060, 11485, 16193, 1685, 4932, 7036, 11781, 2440, 2404, 12232, 1685, 2271, 1006, 13010, 19002, 1118, 31447, 25957, 1049, 2788, 6371, 1027, 7796, 18, 3447, 1069, 1054, 9801, 10867, 23994, 1797, 2440, 2404, 1060, 11485, 16193, 5221, 1060, 12862, 1561, 29675, 3447, 1069, 1054, 9801, 10867, 23994, 10284, 1367, 1078, 13617, 85, 16193, 1685, 27419, 7876, 16193, 1685, 5, 29279, 2404, 1060, 11485, 16193, 1685, 1, 1063, 2700, 11011, 1497, 1083, 31942, 1083, 2536, 1083, 31942, 1083, 2536, 9469, 9469, 9469, 1096, 3806, 2700, 1009, 10322, 1803, 1054, 7419, 1213, 7184, 13779, 15044, 1005, 24759, 10212, 2397, 12017, 1924, 1188, 10322, 1803, 1048, 1054, 2128, 12594, 9009, 5278, 1009, 6522, 1322, 2237, 23442, 2013, 1094, 2700, 17448, 3017, 1026, 1048, 18168, 1048, 1160, 3134, 1044, 2161, 1009, 11954, 1072, 5239, 1274, 2006, 1060, 31161, 1505, 2143, 6079, 1006, 1224, 11954, 1009, 24638, 149, 1035, 1096, 1083, 24003, 5148, 9860, 79, 1, 23477, 1027, 2013, 89, 1364, 2794, 3912, 17367, 1049, 7141, 71, 18753, 18, 3727, 1009, 9499, 1009, 21418, 15, 1096, 1044, 8746, 1005, 31888, 1291, 4011, 9505, 1044, 1187, 5169, 1184, 2821, 4535, 1049, 12610, 80, 5941, 1876, 15798, 3126, 1044, 1187, 2203, 1544, 1049, 7436, 1163, 3017, 1213, 2790, 1009, 3236, 2434, 1009, 15884, 1005, 12083, 30159, 1100, 1114, 10454, 15148, 1347, 1009, 1764, 10533, 7436, 1291, 1005, 31888, 3382, 9110, 1054, 6782, 1357, 8438, 1009, 6782, 1060, 3175, 6806, 1096, 1044, 1187, 5169, 1184, 2821, 4535, 1049, 12610, 80, 5941, 1876, 1072, 1561, 9414, 1009, 1569, 4029, 5625, 1096, 1235, 4894, 4592, 6039, 8878, 1224, 4005, 1340, 6413, 1235, 2468, 1927, 14166, 3313, 1029, 1104, 1027, 2013, 89, 1364, 2845, 1159, 1555, 1088, 2212, 1054, 30075, 1114, 10454, 16895, 1049, 2709, 11372, 16070, 4917, 1159, 10454, 12384, 90, 28732, 1126, 1571, 1264, 18502, 1006, 3907, 6672, 1288, 1124, 1080, 19764, 1312, 1049, 27217, 1009, 1764, 13401, 1565, 4567, 1009, 2848, 2864, 1195, 1068, 1006, 10454, 21564, 1048, 22265, 1213, 5549, 15148, 5600, 1571, 19033, 1026, 5333, 1009, 2201, 29333, 1118, 2539, 1646, 1658, 1310, 6452, 1118, 2848, 9683, 1026, 7436, 1163, 3017, 1213, 2790, 1009, 3236, 2434, 1009, 31395, 1114, 10454, 15148, 1347, 1764, 10533, 1138, 2868, 1096, 18895, 1049, 8030, 1138, 2561, 18119, 3426, 1009, 14395, 2152, 1162, 1007, 1197, 20, 1063, 1455, 3471, 1272, 1009, 3647, 1006, 9782, 1049, 2868, 1138, 2561, 18119, 3426, 1048, 10985, 1195, 20247, 1935, 2433, 24882, 1233, 1749, 2037, 2340, 2152, 1162, 1007, 1197, 1516, 1493, 2572, 4457, 2605, 1132, 1791, 11863, 3647, 1006, 9782, 1060, 11010, 1098, 16042, 5916, 1495, 1132, 2250, 1009, 8067, 14142, 1233, 3349, 1049, 2868, 2271, 2226, 3218, 1482, 8260, 1009, 3403, 1009, 7267, 23477, 1027, 4454, 1026, 7436, 1163, 1091, 1068, 1663, 1751, 1049, 10454, 13293, 1006, 2323, 1049, 1531, 2475, 1049, 1592, 22085, 1482, 3042, 1049, 1592, 4183, 1094, 4680, 6521, 1213, 7436, 1163, 1091, 8171, 1224, 12249, 1271, 3638, 4085, 20, 5845, 1006, 30880, 23477, 1027, 1160, 3579, 12476, 1006, 4497, 1009, 1058, 28594, 18, 1309, 4454, 1094, 9418, 32, 1026, 3970, 1047, 1009, 1261, 17637, 1894, 1009, 23457, 3437, 9404, 1060, 5293, 15520, 9689, 1005, 24665, 6580, 1049, 4304, 80, 5941, 13475, 3613, 1060, 4561, 13776, 1774, 1316, 1188, 1357, 7049, 15148, 1347, 2286, 21440, 31390, 1026, 2868, 1009, 16842, 18240, 1060, 29329, 11662, 1357, 3546, 5027, 20, 1138, 2868, 1195, 11271, 1357, 3808, 6521, 1009, 21907, 2960, 3097, 1040, 2992, 1009, 13656, 6592, 1742, 4693, 23613, 1009, 3659, 1054, 1094, 6727, 1461, 22717, 7661, 20, 2656, 27436, 1048, 2122, 2909, 1224, 12160, 1005, 3048, 2072, 2574, 1048, 2909, 1094, 3560, 1009, 3189, 1005, 2072, 16844, 1079, 5304, 8384, 1114, 10454, 15148, 5600, 23477, 1027, 2013, 89, 1364, 1325, 1837, 3251, 9683, 7053, 5090, 28694, 1118, 4234, 3229, 1060, 16451, 11509, 1132, 3145, 14267, 30845, 22451, 2770, 1493, 1318, 1009, 1848, 1663, 9666, 1009, 30280, 15686, 3699, 8538, 1406, 1072, 1710, 1399, 1027, 1049, 5603, 1060, 1063, 1781, 1053, 2094, 1571, 3396, 1114, 3861, 9218, 7407, 9075, 71, 2289, 1068, 11318, 73, 1803, 1224, 2133, 5954, 10995, 1009, 1871, 1613, 7861, 3567, 3735, 4327, 1026, 4793, 1126, 1160, 1298, 5392, 1305, 15195, 1124, 1086, 22227, 1053, 1728, 23477, 1027, 1096, 3745, 175, 3420, 1005, 1225, 675, 2125, 675, 19189, 5024, 4478, 1009, 3152, 1096, 1026, 13146, 1005, 15402, 22414, 1356, 7341, 1060, 1063, 1781, 1053, 1112, 1592, 1054, 10817, 7371, 5941, 1573, 1049, 2497, 1009, 1764, 2434, 28513, 1009, 14045, 17481, 6577, 1009, 3584, 17367, 1049, 7141, 71, 18753, 3141, 1019, 1230, 1573, 1049, 2497, 1009, 1764, 2434, 5481, 11325, 10736, 83, 8433, 1302, 1065, 92, 7796, 10174, 1047, 23818, 9892, 1029, 4852, 85, 24876, 14878, 1364, 20, 1767, 83, 1, 1156, 2801, 1071, 134, 1574, 1029, 91, 1053, 1062, 5069, 1054, 9163, 2570, 1221, 1349, 1096, 1094, 4671, 6140, 6370, 1213, 26643, 1271, 1207, 158, 3397, 1580, 1060, 16959, 10521, 1257, 47, 2801, 11214, 1006, 2916, 1009, 1101, 2718, 1060, 8506, 1009, 1082, 4027, 20, 3882, 1610, 2016, 1043, 1094, 2779, 24901, 1009, 23129, 1096, 2916, 1009, 1101, 2718, 1009, 8759, 1005, 1675, 2718, 20, 1063, 4606, 2404, 1060, 6140, 9165, 3587, 1054, 3041, 24038, 1258, 1199, 2095, 1086, 84, 1102, 5104, 17752, 1423, 1043, 1128, 2641, 1038, 1081, 1423, 1009, 17991, 7522, 8499, 1074, 1049, 2790, 19866, 1005, 6941, 1744, 1362, 23153, 1009, 11569, 1177, 15830, 1463, 17819, 4352, 5048, 2800, 1734, 6453, 2254, 88, 1580, 1357, 20504, 1049, 9720, 4906, 4548, 10486, 7147, 33, 1006, 3364, 4313, 1325, 4236, 1060, 6661, 1415, 16198, 1230, 2378, 17108, 1184, 3910, 1049, 1156, 2801, 1096, 1119, 174, 84, 675, 134, 18, 26095, 4722, 2457, 1044, 3838, 1060, 31772, 1060, 5293, 1049, 6102, 3164, 1077, 1009, 3114, 1063, 8892, 1479, 1360, 10710, 20, 1062, 15117, 19480, 12867, 1049, 1156, 2801, 5241, 1006, 28984, 1072, 4249, 1049, 16964, 1005, 1062, 149, 22421, 1062, 174, 82, 6399, 2013, 1130, 8099, 7100, 31772, 10178, 18117, 84, 1009, 1655, 11052, 1636, 1157, 1006, 67, 2922, 1068, 1006, 13937, 1349, 1973, 1178, 23055, 1091, 1233, 9829, 1571, 1809, 2346, 1036, 2841, 10512, 31774, 1357, 1944, 1472, 1658, 2751, 4113, 2094, 4725, 1114, 23460, 1009, 1809, 8887, 1056, 1072, 2790, 19866, 1060, 27682, 1770, 5035, 3474, 3951, 1082, 167, 88, 1005, 1318, 1096, 4485, 29704, 1159, 7426, 12553, 2694, 2100, 1063, 4044, 1378, 5954, 2553, 4261, 1791, 14730, 1060, 27682, 1006, 2573, 1049, 10629, 1005, 1124, 18268, 1049, 30937, 1327, 13765, 1138, 3709, 1009, 4557, 15187, 1085, 1005, 2642, 14939, 1327, 1094, 9636, 16362, 1068, 1026, 3184, 20, 8265, 1106, 149, 84, 2645, 17493, 6548, 15, 9829, 1049, 2790, 8223, 1060, 6140, 1325, 1054, 2573, 1068, 1006, 6392, 1009, 9829, 1049, 1156, 2801, 29970, 28668, 2623, 1137, 2370, 14701, 27190, 1013, 1005, 1015, 5378, 1092, 13317, 1084, 3951, 1056, 11921, 1007, 1038, 78, 1071, 3276, 1060, 11003, 15, 1005, 1084, 3951, 1056, 1574, 1029, 72, 1107, 1071, 3276, 1009, 1080, 1279, 11398, 15, 1213, 20335, 1123, 157, 1038, 78, 1084, 3951, 1056, 1005, 7619, 73, 1082, 78, 1031, 51, 78, 1189, 3208, 1038, 78, 1006, 8223, 1005, 1084, 3951, 1056, 1082, 174, 89, 1053, 1075, 1071, 3276, 1009, 1543, 1164, 9727, 83, 15, 1005, 11989, 6140, 1213, 3821, 20610, 1365, 1026, 26564, 1138, 1050, 1241, 4142, 1348, 1062, 3082, 73, 1218, 7341, 21444, 1094, 7747, 1009, 1963, 1009, 1123, 1440, 1320, 1006, 5041, 1107, 2232, 2044, 1079, 1114, 11989, 1054, 1984, 1009, 3149, 1009, 7976, 2084, 1006, 18350, 1009, 2475, 15105, 1054, 1791, 23544, 3242, 1081, 1036, 1361, 1537, 2642, 14939, 1009, 1156, 2801, 28469, 82, 3035, 1271, 1207, 158, 3397, 1580, 6881, 3923, 6170, 82, 3035, 1049, 16110, 1, 1138, 6120, 1542, 15288, 1005, 26899, 2389, 19586, 2274, 1318, 3201, 1159, 16110, 21, 43, 1013, 1358, 2334, 1096, 1044, 4346, 1588, 2401, 15288, 12131, 1043, 4799, 1114, 1641, 1009, 1084, 1013, 1358, 2334, 1072, 2497, 1049, 2293, 3279, 1049, 13759, 4490, 12205, 1096, 1060, 8576, 1009, 1158, 1009, 3042, 1009, 7976, 2400, 1847, 7662, 1118, 15081, 23657, 8752, 3577, 14169, 1166, 1213, 22946, 13067, 2745, 1006, 9705, 21476, 1159, 1094, 3610, 1009, 31448, 3122, 2166, 15757, 1447, 6063, 8377, 1679, 1998, 73, 4261, 1495, 1048, 1054, 21819, 1596, 4745, 6397, 1124, 20419, 1271, 2179, 8833, 1009, 13483, 1107, 1005, 2712, 1627, 2247, 1060, 17765, 1049, 6491, 1009, 3246, 1113, 23092, 1120, 1069, 9094, 1054, 3383, 1009, 3310, 2525, 1026, 6491, 1009, 3246, 1049, 16110, 9847, 1371, 1357, 7654, 1009, 10757, 1005, 1094, 11012, 1049, 3848, 22081, 1019, 1468, 1009, 1084, 1013, 1358, 2334, 1847, 1026, 11302, 1291, 1060, 26412, 1776, 9104, 10241, 18, 1118, 7828, 2624, 9303, 24577, 9291, 1060, 2752, 31692, 3184, 1060, 7569, 4150, 1368, 1126, 1847, 12899, 1006, 6098, 1060, 6074, 8740, 1049, 3848, 31152, 1009, 4718, 18, 1114, 1428, 1195, 29832, 1118, 2848, 7741, 20, 1063, 8135, 14914, 1118, 2156, 14204, 1006, 6517, 14315, 16512, 1077, 1026, 1235, 1853, 4818, 1114, 5355, 23707, 1996, 1049, 17636, 1271, 3638, 1054, 14157, 1879, 6491, 1009, 3346, 12547, 1049, 1062, 2393, 16110, 1096, 1026, 3872, 1048, 1058, 8491, 3467, 1114, 3633, 3843, 5508, 1069, 1054, 13673, 7918, 1026, 1831, 3479, 2848, 1646, 1986, 18, 9303, 2940, 1371, 6635, 1060, 3595, 8722, 4594, 1009, 30464, 1009, 22564, 4733, 8900, 4306, 18207, 13631, 18, 4064, 1006, 1852, 1060, 6254, 30464, 1009, 9861, 1114, 1428, 1195, 17379, 1356, 1180, 1052, 1103, 14901, 1138, 16110, 9048, 1026, 1831, 26411, 1060, 7987, 8219, 1049, 3848, 31152, 1009, 30464, 1054, 7218 ]

[ 1381, 8587, 1406, 1919, 2397, 31395, 1094, 1271, 12469, 1049, 9014, 24841, 1063, 3688, 1325, 1009, 2922, 1679, 1881, 3025, 1846, 1009, 20493, 1006, 3560, 1054, 17451, 2397, 18, 1387, 1699, 1313, 1130, 12339, 13993, 26046, 23206, 1699, 2735, 168, 1005, 12823, 1021, 12731, 89, 4343, 1058, 5924, 3068, 9137, 8387, 1349, 1072, 1344, 51, 1009, 1205, 16562, 9792, 18, 1114, 14785, 31877, 4355, 1958, 1069, 1054, 5073, 1068, 6098, 1049, 21817, 4299, 6745, 25107, 1678, 11662, 1356, 17400, 21, 8541, 1363, 8225, 1026, 2417, 1058, 1650, 3205, 1054, 2574, 4248, 1006, 1086, 9405, 2554, 1184, 17668, 1236, 1049, 6220, 9663, 3458, 2916, 1009, 1675, 2744, 1009, 14832, 1005, 8171, 1006, 2042, 1009, 1094, 6697, 1043, 1132, 1172, 5828, 1106, 13061, 4062, 1064, 21983, 1123, 1165, 1065, 26008, 1005, 2858, 30794, 5857, 1323, 4347, 5735, 91, 5649, 2464, 10602, 7475, 1687, 1005, 1124, 10309, 2829, 1240, 1921, 89, 1005, 1058, 13728, 4480, 1357, 2623, 6245, 1060, 1904, 1377, 4032, 1265, 1508, 1118, 11726, 16269, 1309, 2364, 4319, 1132, 7360, 1072, 1413, 3320, 2882, 4142, 1508, 1026, 2930, 7246, 1406, 1919, 20, 12509, 4088, 2643, 1009, 9460, 1006, 9216, 1646, 15017, 1060, 3959, 2762, 1124, 13852, 1058, 6774, 24080, 1482, 7123, 21020, 1006, 1058, 13275, 1118, 29050, 1049, 6159, 1005, 8187, 19064, 2642, 1753, 1056, 3947, 1048, 1124, 7217, 1213, 8271, 21637, 7339, 73, 3320, 12355, 14317, 1118, 1989, 2470, 1667, 2656, 1516, 1094, 5579, 18, 2246, 5426, 10034, 1596, 1118, 1734, 4494, 1554, 2494, 2348, 15672, 1026, 8566, 1566, 2284, 1058, 16512, 9780, 2605, 2289, 5140, 1114, 3907, 6672, 20, 6062, 1557, 1195, 1493, 2631, 1479, 1005, 3654, 1479, 1068, 3230, 1406, 5649, 2397, 3482, 6767, 9554, 29916, 1063, 2922, 1060, 1086, 9405, 2554, 11435, 1132, 7886, 1009, 6207, 1377, 1482, 6734, 13223, 17646, 1132, 17800, 1068, 1026, 2743, 28158, 9014, 14106, 4949, 1054, 1764, 2434, 1005, 1072, 2293, 1009, 15457, 1150, 5698, 1009, 1664, 3530, 2864, 1124, 1783, 1620, 1786, 1648, 1006, 3028, 3971, 20, 3126, 5675, 13445, 1138, 1048, 20398, 8171, 1006, 2042, 8545, 1406, 20362, 2875, 20132, 25197, 1005, 11635, 14829, 4065, 2247, 1009, 6258, 2625, 26524, 17900, 1072, 28158, 9014, 14106, 1327, 1124, 25754, 1068, 1026, 4299, 2429, 13790, 1048, 1566, 3475, 1118, 14305, 1005, 1225, 12310, 4504, 1312, 1054, 24169, 2794, 28435, 25642, 7465, 2794, 28435, 10256, 4045, 23988, 14572, 19903, 1349, 4284, 10980, 4228, 30212, 8750, 4334, 44, 1349, 5745, 21120, 1071, 2164, 1349, 19206, 3106, 26758, 1005, 18281, 2645, 11515, 1704, 2803, 1184, 2540, 4576, 11418, 1096, 1026, 1049, 23836, 1123, 1165, 1065, 2077, 1126, 1043, 3282, 1006, 4447, 158, 1005, 3688, 6419, 76, 29598, 14076, 1006, 3907, 1054, 1048, 1124, 1783, 1058, 15718, 5984, 6595, 1046, 10922, 15460, 1058, 7383, 1040, 1592, 1406, 2612, 2397, 15884, 20, 1482, 29068, 1026, 2417, 2155, 9397, 1026, 6096, 3474, 1061, 19748, 2858, 2017, 5804, 1325, 1294, 7072, 1704, 4299, 1114, 3861, 1946, 1239, 5857, 1009, 1044, 5975, 2127, 1009, 2397, 18, 1048, 5810, 1054, 14359, 6284, 1072, 2709, 1049, 17523, 2951, 19184, 1048, 1977, 1508, 1006, 9345, 18, 1973, 1048, 6479, 3505, 1068, 2819, 1728, 1134, 10175, 3765, 1493, 26707, 24443, 10055, 22058, 2449, 1094, 2042, 4987, 1043, 1006, 1641, 1406, 24997, 21586, 51, 1009, 1205, 16562, 9792, 20, 25393, 7290, 7902, 1049, 1868, 3511, 3404, 2041, 14785, 1265, 3158, 14615, 1076, 3262, 8387, 1349, 1726, 3295, 8956, 1073, 31999, 1006, 2323, 1009, 2824, 3114, 8301, 1239, 15, 1005, 2824, 3886, 1071, 1285, 1034, 1565, 1073, 1291, 5500, 4747, 32, 1006, 2323, 1009, 2824, 17939, 8301, 1239, 15, 1005, 2824, 5884, 1071, 1285, 1034, 1565, 16855, 32, 8465, 5056, 9018, 17416, 5003, 30, 3218, 1, 11446, 30601, 1017, 20557, 1128, 58, 50, 11555, 7045, 2721, 25, 46, 62, 1175, 31080, 26242, 1175, 20893, 1009, 1594, 1297, 1468, 16053, 3314, 14570, 16053, 13498, 1112, 16053, 21598, 15609, 16053, 1344, 5828, 1797, 2110, 32, 11528, 30482, 27, 44, 31265, 32, 31080, 26242, 11933, 11979, 3456, 1017, 20557, 7234, 58, 50, 11555, 7045, 2721, 25, 46, 62, 4279, 1006, 5556, 1365, 1026, 6687, 1005, 8255, 8922, 1048, 16588, 5556, 15944, 15422, 3459, 1999, 1138, 9045, 32, 1138, 11979, 1096, 16598, 1043, 8255, 1048, 12793, 1043, 1487, 18030, 1309, 2535, 5902, 4524, 1043, 8255, 5142, 25, 60, 3283, 6631, 1026, 5808, 1017, 3175, 9484, 13435, 1026, 12913, 9601, 1049, 1008, 1468, 1487, 60, 1005, 7200, 1024, 1072, 1008, 1468, 5142, 2308, 24105, 10799, 1048, 1006, 6477, 3019, 9271, 29642, 1114, 5943, 1009, 10695, 1049, 25093, 1, 7672, 1381, 15603, 1409, 12915, 4337, 1048, 4524, 1054, 1044, 1023, 7280, 1253, 1096, 1094, 5741, 1009, 1419, 1783, 1005, 14149, 8582, 1072, 1235, 24808, 5166, 2275, 8384, 1048, 2739, 2624, 1026, 9112, 1168, 2260, 1005, 1160, 4145, 1068, 5066, 1024, 1132, 7871, 1009, 4524, 1054, 1044, 3182, 1049, 4796, 20, 9072, 1616, 31704, 1009, 1178, 1044, 2863, 1068, 1132, 8631, 1009, 1764, 2434, 19639, 5934, 8548, 1213, 2017, 3182, 1049, 26102, 5062, 1114, 10437, 9623, 32, 1026, 24005, 1764, 10533, 1138, 9795, 3134, 4234, 12604, 2106, 1187, 2688, 1132, 2125, 4181, 1327, 20137, 1006, 24113, 17867, 1357, 9320, 2097, 1026, 12035, 1005, 1026, 16925, 9791, 11059, 2269, 1213, 24005, 14772, 5280, 1571, 2073, 3271, 4291, 4524, 5372, 1041, 3240, 28770, 1657, 1058, 12827, 1439, 2307, 4441, 17537, 1187, 2125, 4181, 27009, 3775, 2916, 1009, 1782, 19403, 89, 5482, 1580, 1356, 15695, 1048, 13590, 10705, 1072, 2386, 1118, 1072, 8407, 1675, 10847, 2097, 13326, 3629, 1187, 9556, 1049, 5357, 1068, 6537, 1235, 10864, 4634, 28493, 7273, 1026, 11232, 7, 11933, 1901, 5756, 4202, 1006, 21115, 1009, 1094, 4169, 1060, 1198, 8634, 32, 10702, 1009, 2538, 3342, 1005, 5143, 1016, 1195, 26025, 1118, 14282, 3284, 1403, 1075, 6302, 17736, 1412, 1006, 2348, 4022, 1068, 1989, 10531, 4682, 1006, 2700, 13419, 1068, 1026, 4861, 20804, 4762, 11114, 1101, 2098, 2770, 3877, 4669, 12276, 4747, 1114, 4958, 9269, 1005, 1992, 1048, 3501, 1930, 8368, 16546, 19776, 4567, 12413, 2360, 1198, 8634, 1068, 11157, 1026, 3867, 4434, 14375, 20367, 12823, 5949, 5011, 1048, 4669, 12276, 4747, 1195, 5482, 2647, 1299, 9606, 8947, 1043, 1132, 7024, 4106, 1060, 17289, 37, 1071, 2267, 1026, 7423, 4662, 1063, 1541, 1589, 1009, 2736, 3694, 7088, 1308, 3885, 7843, 79, 1493, 7899, 1566, 1048, 3819, 2284, 2281, 4434, 1069, 1620, 1715, 1309, 10094, 2791, 11809, 1132, 2125, 4106, 1566, 12768, 9175, 1058, 1096, 1026, 1048, 6479, 3291, 2856, 54, 5, 1295, 5865, 1048, 1006, 1067, 6719, 1049, 3258, 3420, 17146, 2072, 1072, 6781, 1309, 1096, 1962, 19532, 3708, 12823, 3097, 1096, 1094, 17289, 12570, 19963, 7372, 1048, 1299, 1566, 3241, 19431, 11427, 17153, 32, 1318, 6479, 14576, 1058, 1299, 1566, 16791, 5013, 1069, 29602, 25760, 1071, 1418, 5192, 1048, 17146, 1114, 2919, 1009, 12070, 1349, 1309, 1503, 6479, 3291, 1058, 1299, 16791, 1206, 11281, 1503, 1998, 13777, 1026, 1831, 1054, 4894, 1072, 1082, 1407, 1065, 21116, 1026, 2277, 1503, 8987, 79, 1072, 24108, 1211, 18884, 4593, 2109, 14523, 1519, 1005, 19130, 15, 1005, 1935, 79, 1026, 5064, 1114, 2093, 9541, 1309, 1096, 1493, 3593, 1005, 1058, 1299, 1064, 12850, 1503, 4647, 1048, 3736, 17083, 2122, 5223, 12049, 11709, 1024, 1342, 23777, 1026, 12459, 4861, 3100, 7512, 2276, 1132, 4106, 9583, 1202, 1006, 4537, 11270, 1118, 1616, 1511, 1160, 6581, 9212, 29871, 11270, 5470, 2555, 1040, 1318, 1044, 1060, 3877, 1493, 3593, 2441, 5445, 1734, 8, 1009, 18519, 19204, 7971, 15, 1048, 1096, 1592, 3593, 1005, 1044, 2574, 1043, 3336, 25577, 1044, 1249, 1388, 1058, 1006, 6157, 22535, 1386, 7997, 2856, 1308, 5182, 1811, 71, 1043, 1044, 2631, 2011, 2340, 2742, 1159, 1566, 1973, 23777, 1026, 12459, 4861, 1005, 29867, 1370, 24092, 2340, 3048, 5029, 1468, 1026, 2011, 1048, 1976, 1178, 31719, 1206, 20092, 1132, 4106, 22293, 31571, 1048, 10702, 10801, 1109, 4861, 1101, 1841, 20, 22191, 1160, 1225, 10937, 1009, 12195, 18, 2340, 1072, 2803, 1826, 7187, 1054, 11555, 13905, 1048, 1096, 1094, 2700, 1198, 7724, 7724, 5760, 11709, 1024, 3097, 1299, 1566, 16791, 1006, 25254, 9393, 3943, 23636, 20138, 1503, 5956, 1048, 1160, 1096, 1493, 1601, 2154, 1309, 1503, 9695, 1005, 1096, 3822, 2486, 3424, 1138, 1048, 1299, 7596, 1009, 19532, 2307, 1072, 2788, 8057, 84, 2214, 15156, 2947, 1184, 14274, 1599, 1716, 1177, 19532, 7178, 25649, 1006, 7788, 1009, 1132, 7938, 1294, 3250, 1656, 1096, 1712, 13070, 2599, 7251, 1082, 16243, 16243, 59, 59, 59, 59, 59, 2818, 59, 59, 59, 59, 59, 3920, 3920, 2998, 7759, 18192, 1261, 2156, 11253, 1048, 3074, 7153, 1381, 1557, 32, 1124, 1968, 13084, 1009, 2478, 4839, 19098, 1005, 1138, 1380, 19089, 1458, 1060, 1067, 88, 7043, 6848, 9231, 1699, 1068, 3978, 14753, 1034, 1074, 2998, 7759, 1063, 1119, 1138, 1123, 1084, 1156, 13426, 2998, 29046, 9027, 1030, 1393, 7153, 1571, 5470, 2998, 2654, 11830, 1044, 1557, 1305, 3505, 1072, 2788, 1309, 1511, 1743, 1164, 1225, 1094, 10617, 5856, 7759, 2741, 162, 6485, 12928, 3342, 1005, 7684, 1157, 1357, 2573, 2693, 7759, 1344, 26044, 26044, 26044, 22286, 1715, 1128, 2448, 1026, 10720, 1009, 5574, 1026, 4861, 1511, 2900, 1589, 1962, 5470, 1026, 3066, 7349, 15074, 8, 1060, 1344, 79, 1153, 12467, 20, 1084, 29935, 5470, 1118, 2307, 6383, 15323, 1225, 1338, 3276, 1231, 6027, 18, 1063, 9245, 2469, 8487, 2095, 1009, 16537, 2586, 4831, 1827, 1091, 1005, 1063, 3777, 2408, 5304, 1551, 1044, 10882, 1206, 1009, 11641, 1225, 2637, 1006, 15871, 1005, 22700, 1664, 25756, 1, 4389, 3703, 20217, 1040, 18550, 2453, 1009, 21514, 1009, 3289, 1009, 3546, 1072, 1465, 8645, 1009, 20195, 1242, 28384, 1152, 8851, 20195, 22621, 1759, 1512, 3703, 20217, 1040, 18550, 2453, 1009, 21514, 1009, 3289, 1009, 3546, 1072, 1465, 8645, 1009, 20195, 1242, 28384, 28705, 1452, 1005, 28987, 28909, 1918, 20217, 1975, 8067, 21140, 1072, 3682, 1038, 1047, 8516, 19438, 18616, 15913, 1009, 12113, 2645, 1656, 1182, 1016, 1349, 1054, 20195, 1242, 2529, 19316, 2523, 22503, 18550, 1048, 3586, 28833, 1072, 21514, 1009, 3289, 1009, 1044, 12270, 1009, 4132, 1048, 2909, 13616, 1006, 1044, 10648, 1060, 1821, 3843, 1063, 4132, 1195, 30936, 1072, 11472, 1182, 1016, 1357, 3897, 1009, 1044, 7552, 1048, 22953, 2593, 1043, 1465, 1352, 1068, 1044, 9797, 1005, 1118, 1616, 1160, 9090, 4793, 4882, 1704, 3124, 5140, 8067, 21140, 1118, 2922, 1271, 1799, 11154, 1060, 5096, 20, 1138, 3124, 1060, 3897, 1160, 11146, 4659, 1072, 11472, 1182, 1016, 7600, 1006, 4022, 1187, 15541, 2106, 1048, 18212, 26989, 1024, 1006, 4132, 20, 1063, 18310, 1009, 1048, 2284, 2637, 8857, 1058, 12470, 32, 2247, 1187, 22503, 18550, 2464, 3174, 3240, 12201, 1178, 19803, 1006, 1734, 2175, 1229, 2284, 1318, 5227, 1544, 1005, 1033, 4340, 1009, 11456, 1704, 4148, 1049, 11472, 1182, 1273, 3236, 23947, 1009, 31044, 9964, 1048, 1006, 3583, 1009, 15250, 1009, 4132, 1096, 31762, 1068, 5224, 12478, 1048, 2643, 2631, 5762, 20, 1063, 3897, 2257, 9478, 1060, 4188, 1068, 4480, 1026, 12270, 20, 3720, 1998, 1160, 1195, 18932, 2246, 1160, 1836, 1072, 11472, 1182, 1016, 1114, 3907, 1054, 1048, 1006, 3546, 1195, 26989, 2166, 1309, 1566, 7035, 1026, 3282, 1009, 4793, 21131, 1138, 9381, 1195, 6879, 1599, 10053, 1072, 14735, 1068, 1006, 6446, 1187, 10330, 2258, 2287, 11661, 3597, 1187, 9449, 1005, 28987, 28909, 1918, 1096, 1009, 1015, 2104, 4493, 1068, 1006, 3227, 1005, 1006, 4272, 2453, 1271, 6048, 20, 2656, 3012, 2593, 1184, 23358, 1043, 1006, 7689, 4313, 1005, 1006, 5966, 1048, 1857, 10044, 1046, 1752, 1531, 1184, 1043, 1006, 6338, 1009, 5829, 8, 5649, 1026, 7778, 1009, 5829, 23641, 28384, 2098, 16210, 20195, 22621, 2856, 4389, 3703, 20217, 1040, 18550, 2453, 1009, 21514, 1009, 3289, 1009, 3546, 1072, 1465, 8645, 1009, 20195, 1242, 28384, 5, 4665, 2567, 72, 4589, 23617, 4177, 19, 2814, 3665, 96, 83, 26, 78, 49, 26, 43, 21, 61, 60, 58, 84, 3663, 31, 39, 96, 20453, 9057, 10766, 10766, 10766, 39, 26, 5193, 21, 1088, 25, 75, 26, 50, 22, 84, 39, 63, 81, 61, 64, 2053, 91, 58, 27, 10377, 25, 81, 84, 11840, 8371, 61, 61, 46, 46, 55, 77, 14732, 73, 40, 20713, 5208, 89, 17936, 30719, 31, 4829, 6955, 2708, 27, 22279, 22122, 5, 4665, 2567, 72, 4589, 23617, 4177, 19, 2814, 3665, 96, 83, 26, 78, 49, 26, 43, 21, 61, 60, 58, 84, 3663, 31, 39, 96, 20453, 9057, 10766, 10766, 10766, 39, 26, 5193, 21, 1088, 25, 75, 26, 50, 22, 84, 39, 63, 81, 61, 64, 2053, 91, 58, 27, 10377, 25, 81, 84, 11840, 8371, 61, 61, 46, 46, 55, 77, 14732, 73, 40, 20713, 5208, 89, 8360, 3577, 30719, 31, 4829, 6955, 2708, 27, 22279, 22122, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8587, 1406, 1919, 2397, 31395, 1094, 1271, 12469, 1049, 9014, 24841, 1063, 3688, 1325, 1009, 2922, 1679, 1881, 3025, 1846, 1009, 20493, 1006, 3560, 1054, 17451, 2397, 18, 1387, 1699, 1313, 1130, 12339, 13993, 26046, 23206, 1699, 2735, 168, 1005, 12823, 1021, 12731, 89, 4343, 1058, 5924, 3068, 9137, 8387, 1349, 1072, 1344, 51, 1009, 1205, 16562, 9792, 18, 1114, 14785, 31877, 4355, 1958, 1069, 1054, 5073, 1068, 6098, 1049, 21817, 4299, 6745, 25107, 1678, 11662, 1356, 17400, 21, 8541, 1363, 8225, 1026, 2417, 1058, 1650, 3205, 1054, 2574, 4248, 1006, 1086, 9405, 2554, 1184, 17668, 1236, 1049, 6220, 9663, 3458, 2916, 1009, 1675, 2744, 1009, 14832, 1005, 8171, 1006, 2042, 1009, 1094, 6697, 1043, 1132, 1172, 5828, 1106, 13061, 4062, 1064, 21983, 1123, 1165, 1065, 26008, 1005, 2858, 30794, 5857, 1323, 4347, 5735, 91, 5649, 2464, 10602, 7475, 1687, 1005, 1124, 10309, 2829, 1240, 1921, 89, 1005, 1058, 13728, 4480, 1357, 2623, 6245, 1060, 1904, 1377, 4032, 1265, 1508, 1118, 11726, 16269, 1309, 2364, 4319, 1132, 7360, 1072, 1413, 3320, 2882, 4142, 1508, 1026, 2930, 7246, 1406, 1919, 20, 12509, 4088, 2643, 1009, 9460, 1006, 9216, 1646, 15017, 1060, 3959, 2762, 1124, 13852, 1058, 6774, 24080, 1482, 7123, 21020, 1006, 1058, 13275, 1118, 29050, 1049, 6159, 1005, 8187, 19064, 2642, 1753, 1056, 3947, 1048, 1124, 7217, 1213, 8271, 21637, 7339, 73, 3320, 12355, 14317, 1118, 1989, 2470, 1667, 2656, 1516, 1094, 5579, 18, 2246, 5426, 10034, 1596, 1118, 1734, 4494, 1554, 2494, 2348, 15672, 1026, 8566, 1566, 2284, 1058, 16512, 9780, 2605, 2289, 5140, 1114, 3907, 6672, 20, 6062, 1557, 1195, 1493, 2631, 1479, 1005, 3654, 1479, 1068, 3230, 1406, 5649, 2397, 3482, 6767, 9554, 29916, 1063, 2922, 1060, 1086, 9405, 2554, 11435, 1132, 7886, 1009, 6207, 1377, 1482, 6734, 13223, 17646, 1132, 17800, 1068, 1026, 2743, 28158, 9014, 14106, 4949, 1054, 1764, 2434, 1005, 1072, 2293, 1009, 15457, 1150, 5698, 1009, 1664, 3530, 2864, 1124, 1783, 1620, 1786, 1648, 1006, 3028, 3971, 20, 3126, 5675, 13445, 1138, 1048, 20398, 8171, 1006, 2042, 8545, 1406, 20362, 2875, 20132, 25197, 1005, 11635, 14829, 4065, 2247, 1009, 6258, 2625, 26524, 17900, 1072, 28158, 9014, 14106, 1327, 1124, 25754, 1068, 1026, 4299, 2429, 13790, 1048, 1566, 3475, 1118, 14305, 1005, 1225, 12310, 4504, 1312, 1054, 24169, 2794, 28435, 25642, 7465, 2794, 28435, 10256, 4045, 23988, 14572, 19903, 1349, 4284, 10980, 4228, 30212, 8750, 4334, 44, 1349, 5745, 21120, 1071, 2164, 1349, 19206, 3106, 26758, 1005, 18281, 2645, 11515, 1704, 2803, 1184, 2540, 4576, 11418, 1096, 1026, 1049, 23836, 1123, 1165, 1065, 2077, 1126, 1043, 3282, 1006, 4447, 158, 1005, 3688, 6419, 76, 29598, 14076, 1006, 3907, 1054, 1048, 1124, 1783, 1058, 15718, 5984, 6595, 1046, 10922, 15460, 1058, 7383, 1040, 1592, 1406, 2612, 2397, 15884, 20, 1482, 29068, 1026, 2417, 2155, 9397, 1026, 6096, 3474, 1061, 19748, 2858, 2017, 5804, 1325, 1294, 7072, 1704, 4299, 1114, 3861, 1946, 1239, 5857, 1009, 1044, 5975, 2127, 1009, 2397, 18, 1048, 5810, 1054, 14359, 6284, 1072, 2709, 1049, 17523, 2951, 19184, 1048, 1977, 1508, 1006, 9345, 18, 1973, 1048, 6479, 3505, 1068, 2819, 1728, 1134, 10175, 3765, 1493, 26707, 24443, 10055, 22058, 2449, 1094, 2042, 4987, 1043, 1006, 1641, 1406, 24997, 21586, 51, 1009, 1205, 16562, 9792, 20, 25393, 7290, 7902, 1049, 1868, 3511, 3404, 2041, 14785, 1265, 3158, 14615, 1076, 3262, 8387, 1349, 1726, 3295, 8956, 1073, 31999, 1006, 2323, 1009, 2824, 3114, 8301, 1239, 15, 1005, 2824, 3886, 1071, 1285, 1034, 1565, 1073, 1291, 5500, 4747, 32, 1006, 2323, 1009, 2824, 17939, 8301, 1239, 15, 1005, 2824, 5884, 1071, 1285, 1034, 1565, 16855, 32, 8465, 5056, 9018, 17416, 5003, 30, 3218, 1, 11446, 30601, 1017, 20557, 1128, 58, 50, 11555, 7045, 2721, 25, 46, 62, 1175, 31080, 26242, 1175, 20893, 1009, 1594, 1297, 1468, 16053, 3314, 14570, 16053, 13498, 1112, 16053, 21598, 15609, 16053, 1344, 5828, 1797, 2110, 32, 11528, 30482, 27, 44, 31265, 32, 31080, 26242, 11933, 11979, 3456, 1017, 20557, 7234, 58, 50, 11555, 7045, 2721, 25, 46, 62, 4279, 1006, 5556, 1365, 1026, 6687, 1005, 8255, 8922, 1048, 16588, 5556, 15944, 15422, 3459, 1999, 1138, 9045, 32, 1138, 11979, 1096, 16598, 1043, 8255, 1048, 12793, 1043, 1487, 18030, 1309, 2535, 5902, 4524, 1043, 8255, 5142, 25, 60, 3283, 6631, 1026, 5808, 1017, 3175, 9484, 13435, 1026, 12913, 9601, 1049, 1008, 1468, 1487, 60, 1005, 7200, 1024, 1072, 1008, 1468, 5142, 2308, 24105, 10799, 1048, 1006, 6477, 3019, 9271, 29642, 1114, 5943, 1009, 10695, 1049, 25093, 1, 7672, 1381, 15603, 1409, 12915, 4337, 1048, 4524, 1054, 1044, 1023, 7280, 1253, 1096, 1094, 5741, 1009, 1419, 1783, 1005, 14149, 8582, 1072, 1235, 24808, 5166, 2275, 8384, 1048, 2739, 2624, 1026, 9112, 1168, 2260, 1005, 1160, 4145, 1068, 5066, 1024, 1132, 7871, 1009, 4524, 1054, 1044, 3182, 1049, 4796, 20, 9072, 1616, 31704, 1009, 1178, 1044, 2863, 1068, 1132, 8631, 1009, 1764, 2434, 19639, 5934, 8548, 1213, 2017, 3182, 1049, 26102, 5062, 1114, 10437, 9623, 32, 1026, 24005, 1764, 10533, 1138, 9795, 3134, 4234, 12604, 2106, 1187, 2688, 1132, 2125, 4181, 1327, 20137, 1006, 24113, 17867, 1357, 9320, 2097, 1026, 12035, 1005, 1026, 16925, 9791, 11059, 2269, 1213, 24005, 14772, 5280, 1571, 2073, 3271, 4291, 4524, 5372, 1041, 3240, 28770, 1657, 1058, 12827, 1439, 2307, 4441, 17537, 1187, 2125, 4181, 27009, 3775, 2916, 1009, 1782, 19403, 89, 5482, 1580, 1356, 15695, 1048, 13590, 10705, 1072, 2386, 1118, 1072, 8407, 1675, 10847, 2097, 13326, 3629, 1187, 9556, 1049, 5357, 1068, 6537, 1235, 10864, 4634, 28493, 7273, 1026, 11232, 7, 11933, 1901, 5756, 4202, 1006, 21115, 1009, 1094, 4169, 1060, 1198, 8634, 32, 10702, 1009, 2538, 3342, 1005, 5143, 1016, 1195, 26025, 1118, 14282, 3284, 1403, 1075, 6302, 17736, 1412, 1006, 2348, 4022, 1068, 1989, 10531, 4682, 1006, 2700, 13419, 1068, 1026, 4861, 20804, 4762, 11114, 1101, 2098, 2770, 3877, 4669, 12276, 4747, 1114, 4958, 9269, 1005, 1992, 1048, 3501, 1930, 8368, 16546, 19776, 4567, 12413, 2360, 1198, 8634, 1068, 11157, 1026, 3867, 4434, 14375, 20367, 12823, 5949, 5011, 1048, 4669, 12276, 4747, 1195, 5482, 2647, 1299, 9606, 8947, 1043, 1132, 7024, 4106, 1060, 17289, 37, 1071, 2267, 1026, 7423, 4662, 1063, 1541, 1589, 1009, 2736, 3694, 7088, 1308, 3885, 7843, 79, 1493, 7899, 1566, 1048, 3819, 2284, 2281, 4434, 1069, 1620, 1715, 1309, 10094, 2791, 11809, 1132, 2125, 4106, 1566, 12768, 9175, 1058, 1096, 1026, 1048, 6479, 3291, 2856, 54, 5, 1295, 5865, 1048, 1006, 1067, 6719, 1049, 3258, 3420, 17146, 2072, 1072, 6781, 1309, 1096, 1962, 19532, 3708, 12823, 3097, 1096, 1094, 17289, 12570, 19963, 7372, 1048, 1299, 1566, 3241, 19431, 11427, 17153, 32, 1318, 6479, 14576, 1058, 1299, 1566, 16791, 5013, 1069, 29602, 25760, 1071, 1418, 5192, 1048, 17146, 1114, 2919, 1009, 12070, 1349, 1309, 1503, 6479, 3291, 1058, 1299, 16791, 1206, 11281, 1503, 1998, 13777, 1026, 1831, 1054, 4894, 1072, 1082, 1407, 1065, 21116, 1026, 2277, 1503, 8987, 79, 1072, 24108, 1211, 18884, 4593, 2109, 14523, 1519, 1005, 19130, 15, 1005, 1935, 79, 1026, 5064, 1114, 2093, 9541, 1309, 1096, 1493, 3593, 1005, 1058, 1299, 1064, 12850, 1503, 4647, 1048, 3736, 17083, 2122, 5223, 12049, 11709, 1024, 1342, 23777, 1026, 12459, 4861, 3100, 7512, 2276, 1132, 4106, 9583, 1202, 1006, 4537, 11270, 1118, 1616, 1511, 1160, 6581, 9212, 29871, 11270, 5470, 2555, 1040, 1318, 1044, 1060, 3877, 1493, 3593, 2441, 5445, 1734, 8, 1009, 18519, 19204, 7971, 15, 1048, 1096, 1592, 3593, 1005, 1044, 2574, 1043, 3336, 25577, 1044, 1249, 1388, 1058, 1006, 6157, 22535, 1386, 7997, 2856, 1308, 5182, 1811, 71, 1043, 1044, 2631, 2011, 2340, 2742, 1159, 1566, 1973, 23777, 1026, 12459, 4861, 1005, 29867, 1370, 24092, 2340, 3048, 5029, 1468, 1026, 2011, 1048, 1976, 1178, 31719, 1206, 20092, 1132, 4106, 22293, 31571, 1048, 10702, 10801, 1109, 4861, 1101, 1841, 20, 22191, 1160, 1225, 10937, 1009, 12195, 18, 2340, 1072, 2803, 1826, 7187, 1054, 11555, 13905, 1048, 1096, 1094, 2700, 1198, 7724, 7724, 5760, 11709, 1024, 3097, 1299, 1566, 16791, 1006, 25254, 9393, 3943, 23636, 20138, 1503, 5956, 1048, 1160, 1096, 1493, 1601, 2154, 1309, 1503, 9695, 1005, 1096, 3822, 2486, 3424, 1138, 1048, 1299, 7596, 1009, 19532, 2307, 1072, 2788, 8057, 84, 2214, 15156, 2947, 1184, 14274, 1599, 1716, 1177, 19532, 7178, 25649, 1006, 7788, 1009, 1132, 7938, 1294, 3250, 1656, 1096, 1712, 13070, 2599, 7251, 1082, 16243, 16243, 59, 59, 59, 59, 59, 2818, 59, 59, 59, 59, 59, 3920, 3920, 2998, 7759, 18192, 1261, 2156, 11253, 1048, 3074, 7153, 1381, 1557, 32, 1124, 1968, 13084, 1009, 2478, 4839, 19098, 1005, 1138, 1380, 19089, 1458, 1060, 1067, 88, 7043, 6848, 9231, 1699, 1068, 3978, 14753, 1034, 1074, 2998, 7759, 1063, 1119, 1138, 1123, 1084, 1156, 13426, 2998, 29046, 9027, 1030, 1393, 7153, 1571, 5470, 2998, 2654, 11830, 1044, 1557, 1305, 3505, 1072, 2788, 1309, 1511, 1743, 1164, 1225, 1094, 10617, 5856, 7759, 2741, 162, 6485, 12928, 3342, 1005, 7684, 1157, 1357, 2573, 2693, 7759, 1344, 26044, 26044, 26044, 22286, 1715, 1128, 2448, 1026, 10720, 1009, 5574, 1026, 4861, 1511, 2900, 1589, 1962, 5470, 1026, 3066, 7349, 15074, 8, 1060, 1344, 79, 1153, 12467, 20, 1084, 29935, 5470, 1118, 2307, 6383, 15323, 1225, 1338, 3276, 1231, 6027, 18, 1063, 9245, 2469, 8487, 2095, 1009, 16537, 2586, 4831, 1827, 1091, 1005, 1063, 3777, 2408, 5304, 1551, 1044, 10882, 1206, 1009, 11641, 1225, 2637, 1006, 15871, 1005, 22700, 1664, 25756, 1, 4389, 3703, 20217, 1040, 18550, 2453, 1009, 21514, 1009, 3289, 1009, 3546, 1072, 1465, 8645, 1009, 20195, 1242, 28384, 1152, 8851, 20195, 22621, 1759, 1512, 3703, 20217, 1040, 18550, 2453, 1009, 21514, 1009, 3289, 1009, 3546, 1072, 1465, 8645, 1009, 20195, 1242, 28384, 28705, 1452, 1005, 28987, 28909, 1918, 20217, 1975, 8067, 21140, 1072, 3682, 1038, 1047, 8516, 19438, 18616, 15913, 1009, 12113, 2645, 1656, 1182, 1016, 1349, 1054, 20195, 1242, 2529, 19316, 2523, 22503, 18550, 1048, 3586, 28833, 1072, 21514, 1009, 3289, 1009, 1044, 12270, 1009, 4132, 1048, 2909, 13616, 1006, 1044, 10648, 1060, 1821, 3843, 1063, 4132, 1195, 30936, 1072, 11472, 1182, 1016, 1357, 3897, 1009, 1044, 7552, 1048, 22953, 2593, 1043, 1465, 1352, 1068, 1044, 9797, 1005, 1118, 1616, 1160, 9090, 4793, 4882, 1704, 3124, 5140, 8067, 21140, 1118, 2922, 1271, 1799, 11154, 1060, 5096, 20, 1138, 3124, 1060, 3897, 1160, 11146, 4659, 1072, 11472, 1182, 1016, 7600, 1006, 4022, 1187, 15541, 2106, 1048, 18212, 26989, 1024, 1006, 4132, 20, 1063, 18310, 1009, 1048, 2284, 2637, 8857, 1058, 12470, 32, 2247, 1187, 22503, 18550, 2464, 3174, 3240, 12201, 1178, 19803, 1006, 1734, 2175, 1229, 2284, 1318, 5227, 1544, 1005, 1033, 4340, 1009, 11456, 1704, 4148, 1049, 11472, 1182, 1273, 3236, 23947, 1009, 31044, 9964, 1048, 1006, 3583, 1009, 15250, 1009, 4132, 1096, 31762, 1068, 5224, 12478, 1048, 2643, 2631, 5762, 20, 1063, 3897, 2257, 9478, 1060, 4188, 1068, 4480, 1026, 12270, 20, 3720, 1998, 1160, 1195, 18932, 2246, 1160, 1836, 1072, 11472, 1182, 1016, 1114, 3907, 1054, 1048, 1006, 3546, 1195, 26989, 2166, 1309, 1566, 7035, 1026, 3282, 1009, 4793, 21131, 1138, 9381, 1195, 6879, 1599, 10053, 1072, 14735, 1068, 1006, 6446, 1187, 10330, 2258, 2287, 11661, 3597, 1187, 9449, 1005, 28987, 28909, 1918, 1096, 1009, 1015, 2104, 4493, 1068, 1006, 3227, 1005, 1006, 4272, 2453, 1271, 6048, 20, 2656, 3012, 2593, 1184, 23358, 1043, 1006, 7689, 4313, 1005, 1006, 5966, 1048, 1857, 10044, 1046, 1752, 1531, 1184, 1043, 1006, 6338, 1009, 5829, 8, 5649, 1026, 7778, 1009, 5829, 23641, 28384, 2098, 16210, 20195, 22621, 2856, 4389, 3703, 20217, 1040, 18550, 2453, 1009, 21514, 1009, 3289, 1009, 3546, 1072, 1465, 8645, 1009, 20195, 1242, 28384, 5, 4665, 2567, 72, 4589, 23617, 4177, 19, 2814, 3665, 96, 83, 26, 78, 49, 26, 43, 21, 61, 60, 58, 84, 3663, 31, 39, 96, 20453, 9057, 10766, 10766, 10766, 39, 26, 5193, 21, 1088, 25, 75, 26, 50, 22, 84, 39, 63, 81, 61, 64, 2053, 91, 58, 27, 10377, 25, 81, 84, 11840, 8371, 61, 61, 46, 46, 55, 77, 14732, 73, 40, 20713, 5208, 89, 17936, 30719, 31, 4829, 6955, 2708, 27, 22279, 22122, 5, 4665, 2567, 72, 4589, 23617, 4177, 19, 2814, 3665, 96, 83, 26, 78, 49, 26, 43, 21, 61, 60, 58, 84, 3663, 31, 39, 96, 20453, 9057, 10766, 10766, 10766, 39, 26, 5193, 21, 1088, 25, 75, 26, 50, 22, 84, 39, 63, 81, 61, 64, 2053, 91, 58, 27, 10377, 25, 81, 84, 11840, 8371, 61, 61, 46, 46, 55, 77, 14732, 73, 40, 20713, 5208, 89, 8360, 3577, 30719, 31, 4829, 6955, 2708, 27, 22279, 22122, 1 ]

[ 1072, 2092, 22797, 1045, 1422, 1377, 3713, 4082, 1094, 19960, 1006, 1752, 8486, 3907, 1511, 1026, 8079, 1160, 1325, 1054, 28315, 3204, 1160, 1516, 1026, 2535, 1996, 1060, 8957, 20, 1128, 18777, 2978, 3229, 1009, 2490, 3225, 1043, 1094, 3964, 7747, 4355, 2675, 1940, 2675, 1605, 2863, 23630, 3449, 2593, 3863, 1054, 5834, 1493, 1494, 8473, 1505, 3018, 2653, 5015, 28029, 6515, 1026, 5357, 22797, 1045, 19985, 1487, 45, 1206, 1026, 5357, 22797, 1045, 7583, 5300, 12768, 1072, 1901, 16326, 10634, 1026, 2863, 1160, 1058, 31227, 1679, 5834, 1184, 7739, 1704, 2863, 1836, 1114, 3069, 27099, 1049, 4002, 2224, 7985, 3069, 27099, 4345, 1049, 4002, 12505, 1026, 7357, 30079, 1009, 9371, 1566, 1195, 23630, 2149, 43, 18539, 9072, 1048, 1006, 3069, 15339, 1325, 5321, 18, 2088, 22503, 22797, 1045, 1620, 9977, 1026, 2863, 1704, 2863, 1096, 1043, 1026, 3159, 1009, 8600, 1049, 2380, 30369, 11149, 2653, 3356, 1452, 1054, 6019, 3960, 2863, 1072, 6137, 4002, 2224, 27099, 20, 17626, 1048, 1026, 5357, 1160, 15606, 1026, 2863, 11207, 1195, 2092, 1831, 8079, 22797, 3947, 1005, 1058, 1096, 1992, 1048, 1026, 5357, 17336, 1235, 16192, 18, 1668, 2177, 1026, 2092, 3810, 675, 0, 1940, 2675, 1940, 2675, 3141, 43, 2980, 1138, 1211, 2024, 2343, 1078, 57, 3085, 1722, 1253, 1009, 26658, 31909, 1291, 3312, 1184, 5025, 1009, 8359, 8539, 3988, 1094, 4081, 9438, 1576, 7173, 5265, 1094, 4081, 9438, 1048, 1298, 3371, 1006, 5807, 1026, 10851, 1009, 2303, 1043, 23963, 20, 1776, 2268, 3048, 1664, 1132, 5015, 28029, 17420, 10048, 1026, 15346, 2340, 1264, 6865, 1094, 3444, 30190, 1009, 10314, 1005, 1094, 7442, 19164, 24464, 10850, 18919, 1009, 2289, 18143, 27591, 1068, 14422, 2765, 2135, 7807, 2135, 18792, 1009, 3444, 30190, 2135, 2193, 13278, 1664, 1132, 1858, 11372, 1131, 30190, 1009, 10314, 1308, 2308, 4116, 31454, 1026, 25046, 1160, 4426, 2140, 1026, 18919, 21987, 3735, 1026, 8079, 5037, 12583, 1005, 1006, 7091, 22283, 6678, 10215, 9613, 2962, 75, 1456, 7847, 4202, 1006, 2323, 1049, 11473, 1099, 11940, 1009, 20075, 4535, 1005, 4967, 3515, 1727, 2135, 3088, 1029, 1348, 3873, 13196, 18905, 1565, 1082, 3293, 1068, 2373, 3885, 12847, 626, 1005, 13077, 1132, 7847, 1048, 5902, 4355, 2675, 8422, 1058, 4337, 1058, 1026, 5357, 1325, 19678, 5816, 1467, 14345, 1160, 1058, 4337, 1058, 1026, 5357, 1325, 19678, 1049, 10999, 4333, 1132, 3523, 13300, 2088, 9556, 1054, 3195, 22105, 1037, 1069, 1766, 5015, 28029, 3634, 7340, 1456, 5812, 20, 1776, 2268, 1857, 1160, 4504, 1046, 1006, 27766, 1049, 2863, 4355, 2675, 5919, 3136, 1118, 28639, 1132, 5015, 28029, 1998, 1693, 9212, 1118, 1094, 8239, 3092, 1049, 5357, 1322, 1026, 25683, 5126, 1318, 1693, 3689, 1006, 4081, 9438, 10865, 4109, 11492, 9959, 1184, 4816, 1322, 1026, 22613, 2863, 1009, 7357, 1009, 9371, 1054, 2088, 22503, 5357, 22797, 1045, 1986, 1006, 8957, 1068, 1026, 4002, 12505, 3574, 10939, 1668, 2859, 1043, 2266, 12082, 10599, 1318, 1298, 14536, 1123, 29215, 1348, 1009, 17143, 2135, 2863, 1068, 4002, 2224, 1054, 22503, 22797, 1045, 1533, 1410, 2983, 1083, 8448, 23, 1009, 3113, 1308, 3487, 32, 7157, 1071, 9590, 3692, 1138, 27889, 1049, 5357, 1072, 8556, 1318, 1325, 13930, 1679, 5015, 1048, 3635, 1127, 1040, 1072, 3756, 1009, 3227, 1068, 1419, 1058, 1026, 2863, 12617, 1802, 3423, 2668, 1006, 2759, 1318, 1325, 13930, 1679, 5015, 1048, 1365, 83, 1054, 4280, 1043, 1006, 2759, 1009, 5875, 1118, 25902, 1068, 3524, 1184, 8377, 2875, 1417, 7843, 2315, 1159, 1616, 1096, 4417, 20, 3713, 1298, 3689, 31454, 1026, 8079, 1072, 3756, 1009, 3227, 1005, 1419, 1058, 5325, 1680, 37, 10628, 8396, 1159, 1195, 20, 4015, 2675, 1308, 3776, 2980, 2561, 16241, 15914, 95, 91, 1009, 2922, 1054, 1941, 1956, 91, 2112, 1159, 18897, 1799, 1096, 21734, 2660, 1467, 1410, 2983, 1101, 8448, 24, 1009, 3113, 1308, 3430, 32, 3413, 1071, 9590, 3692, 2858, 12652, 1049, 5357, 12470, 1072, 9030, 1348, 1009, 3171, 3092, 1048, 4538, 1945, 1026, 6840, 1049, 3142, 1322, 3171, 1009, 9371, 1986, 1006, 8957, 1049, 4002, 2224, 1533, 9698, 1087, 2315, 1224, 3629, 7, 2494, 3364, 1187, 9677, 1160, 1190, 9055, 7340, 1094, 3484, 31297, 1309, 4538, 10939, 1224, 16094, 1005, 1274, 10939, 1124, 2266, 14707, 1068, 5275, 1026, 30369, 4015, 2675, 7199, 1410, 2983, 1307, 8448, 25, 1009, 3113, 1308, 1839, 32, 2721, 1071, 10274, 3692, 8106, 1026, 5357, 1325, 7187, 1068, 10380, 3171, 1009, 31325, 1060, 9371, 1072, 4002, 12505, 6851, 2602, 1848, 1068, 14422, 2765, 1060, 9371, 36, 11473, 1099, 11940, 1009, 9371, 2170, 1054, 4702, 19437, 1006, 4169, 2373, 45, 1281, 1099, 1787, 7847, 8863, 4324, 1058, 1160, 5037, 2248, 1140, 1118, 4308, 11492, 2248, 1599, 1132, 7847, 1048, 1299, 1160, 5471, 1043, 8692, 3417, 1027, 1009, 22003, 9371, 1054, 2277, 4367, 20, 1776, 2268, 1318, 3901, 1048, 1124, 25690, 1693, 1178, 20255, 1580, 1054, 2350, 7653, 2098, 79, 1146, 11126, 16729, 2845, 1159, 1044, 2788, 1009, 19783, 1009, 4639, 4538, 2636, 1043, 7051, 2751, 1054, 4816, 2373, 1131, 3808, 3907, 626, 1206, 2373, 1774, 3993, 2897, 8226, 1482, 3819, 5847, 5426, 5025, 1596, 5482, 1580, 1118, 5169, 1159, 4670, 18707, 14074, 8855, 1678, 1163, 1127, 5273, 1100, 28133, 41, 1237, 1099, 2975, 5575, 1019, 2640, 18, 2045, 1205, 1827, 1324, 4557, 3287, 10040, 1005, 2653, 10922, 16386, 3291, 1184, 1322, 3230, 37, 6168, 7216, 7358, 1281, 4770, 5777, 2461, 15732, 625, 60, 1031, 2408, 1054, 3546, 3174, 1339, 2270, 1144, 27741, 17547, 79, 12979, 8969, 21865, 20, 5722, 10538, 1049, 7483, 20, 8785, 1291, 1054, 31614, 4153, 8467, 1348, 1009, 20135, 626, 10888, 23407, 20478, 1253, 12796, 3363, 1093, 1424, 1026, 6695, 78, 1234, 13826, 1678, 1006, 8680, 21923, 3823, 8004, 1009, 2011, 12808, 1068, 6044, 3245, 6574, 1054, 6391, 2324, 4315, 26655, 1049, 23102, 19774, 1253, 3399, 1207, 4142, 3020, 18020, 32, 2034, 3460, 13357, 28165, 1094, 3484, 31758, 1024, 3484, 1605, 1235, 7137, 1009, 7793, 1160, 2177, 2218, 2270, 10348, 3750, 11993, 18910, 1043, 3125, 4093, 19108, 3125, 2324, 2576, 3125, 1383, 4066, 3125, 27204, 18762, 1528, 1024, 1026, 2092, 10840, 7793, 1005, 2788, 3057, 9740, 1068, 1006, 4958, 1472, 1048, 1503, 11971, 1059, 295, 1691, 1947, 1809, 23520, 14917, 1946, 19570, 2555, 3418, 1467, 3669, 1108, 9301, 5376, 27572, 1294, 6022, 1060, 11019, 22283, 16834, 96, 1545, 9160, 6391, 1207, 1281, 4770, 5777, 2461, 75, 11958, 1946, 19570, 2555, 3418, 1467, 8957, 23351, 1902, 8721, 626, 1009, 13009, 1409, 6246, 1123, 10257, 1024, 1816, 1566, 1325, 5321, 16834, 96, 1545, 8856, 6391, 1207, 1281, 4770, 5777, 2461, 75, 11958, 1946, 19570, 2555, 3418, 1467, 18190, 6321, 1094, 8957, 1009, 3227, 1054, 3049, 1009, 12034, 12012, 1043, 1026, 21992, 1067, 1404, 16834, 96, 1545, 8856, 6391, 1207, 1281, 4770, 5777, 2461, 75, 2995, 25374, 30585, 1108, 1084, 8475, 6599, 49, 1917, 1108, 1005, 8475, 89, 2324, 1179, 1122, 1660, 11658, 1691, 10926, 6184, 1691, 2391, 1383, 17500, 1797, 1979, 2555, 31283, 5, 1018, 2901, 5, 1032, 30552, 1337, 2503, 31110, 1009, 13989, 3259, 1940, 1958, 18630, 1009, 2778, 1458, 1576, 9261, 17698, 3230, 2503, 51, 7521, 26373, 28789, 2503, 31110, 1009, 13989, 3259, 1940, 1958, 18630, 1009, 2778, 1458, 1605, 1612, 1660, 2402, 2013, 7915, 58, 3083, 7309, 18561, 5462, 8883, 16106, 28502, 1063, 6089, 64, 2581, 15500, 60, 3083, 2164, 1142, 23537, 22964, 53, 6125, 3071, 14257, 16282, 8883, 16106, 28502, 2818, 1073, 30856, 3083, 11756, 18839, 4414, 47, 9435, 8883, 48, 4436, 9435, 10473, 18109, 52, 4055, 2393, 1082, 5794, 2428, 10473, 11136, 1067, 4503, 2164, 1163, 2805, 46, 2053, 4212, 1128, 39, 62, 2545, 2818, 1073, 30856, 3083, 11756, 6793, 1084, 6793, 6445, 14607, 3402, 6860, 1063, 6089, 64, 2581, 3375, 3640, 20, 1063, 6089, 64, 2581, 18, 1138, 1142, 9696, 8820, 7309, 53, 1063, 6089, 64, 2581, 18, 1063, 6089, 64, 31311, 10895, 13561, 63, 1084, 1138, 1142, 9696, 8820, 7309, 53, 1063, 6089, 64, 31311, 10895, 13561, 63, 27259, 15275, 41, 2545, 26129, 10274, 56, 2980, 2545, 6764, 1063, 6089, 64, 2581, 3375, 3640, 18, 5394, 17388, 22819, 12903, 2545, 18839, 4414, 47, 2980, 2545, 20, 28022, 22964, 53, 6125, 9435, 6764, 1063, 6089, 64, 140, 52, 47, 2722, 1163, 2805, 46, 3642, 2428, 6860, 22656, 12175, 2818, 18839, 4414, 47, 15104, 10473, 6860, 9554, 2545, 18427, 7146, 135, 18797, 2870, 20, 25777, 5264, 45, 2980, 7185, 1063, 6089, 64, 2581, 12239, 23486, 1063, 48, 14083, 2053, 1063, 1073, 7567, 2053, 11018, 1128, 39, 62, 2545, 5462, 1067, 22580, 7, 30196, 2545, 11018, 1156, 6089, 45, 17545, 2818, 8883, 42, 7270, 2428, 27259, 2818, 8883, 54, 5264, 5237, 9399, 2818, 1063, 6089, 64, 2581, 3375, 3640, 1084, 2818, 9036, 4826, 1205, 15083, 5237, 26430, 20, 1, 1063, 12425, 3788, 1014, 17368, 1094, 5966, 1043, 1006, 8629, 93, 42, 1185, 1005, 7289, 1006, 12425, 42, 1185, 18, 1094, 26394, 15258, 1068, 1026, 2529, 1060, 8629, 93, 42, 1185, 1054, 1764, 10533, 1067, 7599, 2981, 75, 1063, 8382, 1043, 5843, 15795, 1009, 15845, 21437, 6710, 2875, 1220, 1436, 4093, 26331, 1026, 2859, 14734, 13489, 12425, 42, 1185, 18, 4661, 1357, 12425, 3788, 1014, 1072, 6332, 1424, 26331, 1026, 2859, 14734, 13489, 12425, 42, 1185, 18, 4661, 1357, 12425, 3788, 1014, 1072, 8556, 1797, 1568, 2178, 8681, 3788, 1014, 29158, 7884, 4119, 8018, 9426, 1026, 3366, 31729, 8681, 3788, 1014, 29158, 7884, 4119, 1048, 28620, 1114, 17760, 1005, 22341, 1043, 1006, 24871, 80, 1461, 5092, 12425, 3788, 2652, 11421, 4972, 1322, 1026, 12987, 1124, 24871, 9234, 1242, 7287, 1833, 16033, 4093, 26331, 1026, 2859, 31729, 8681, 3788, 1014, 29158, 7884, 4119, 1072, 6332, 1424, 26331, 1026, 2859, 31729, 8681, 3788, 1014, 29158, 7884, 4119, 1072, 8556, 1605, 1853, 1049, 6682, 6278, 1060, 14734, 13489, 5898, 0, 28016, 1026, 1048, 1325, 8667, 1157, 1072, 6682, 6278, 1060, 14734, 13489, 1009, 7240, 1124, 24871, 4251, 5500, 31104, 1026, 1156, 21321, 6278, 1009, 14734, 1167, 26788, 1124, 13357, 1159, 1006, 26394, 4871, 9176, 1005, 1006, 26394, 9437, 2973, 1051, 1140, 1054, 2696, 3308, 1009, 1429, 9915, 1833, 16033, 4093, 26331, 1026, 2859, 1138, 1853, 1049, 6682, 6278, 1060, 14734, 13489, 5898, 0, 1072, 6332, 1424, 26331, 1026, 2859, 1138, 1853, 1049, 6682, 6278, 1060, 14734, 13489, 5898, 0, 1072, 8556, 5168, 73, 1512, 12155, 11735, 6682, 28967, 1009, 14734, 13489, 28016, 1006, 8716, 1048, 1026, 1632, 1162, 1009, 2529, 2521, 1072, 3366, 6827, 1512, 1126, 4949, 1114, 1641, 1009, 14572, 1005, 14780, 1043, 2182, 24871, 9234, 1242, 1005, 1184, 1009, 3886, 26125, 2625, 1009, 24871, 4251, 14660, 5048, 5504, 1497, 26394, 1005, 7138, 1144, 624, 16022, 25506, 16033, 4093, 26331, 1026, 2859, 6827, 1512, 12155, 11735, 6682, 28967, 1009, 14734, 13489, 1072, 6332, 1424, 26331, 1026, 2859, 6827, 1512, 12155, 11735, 6682, 28967, 1009, 14734, 13489, 1072, 8556, 27419, 2482, 1009, 14734, 13489, 12425, 3788, 1014, 1479, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 39, 28016, 1026, 2649, 2482, 3330, 1060, 26394, 12425, 3788, 1014, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 2722, 1094, 26394, 1680, 1541, 86, 1075, 2166, 1049, 3239, 5045, 77, 1423, 17150, 7478, 39, 1005, 2127, 1060, 24871, 80, 1461, 12425, 3788, 1870, 1009, 9841, 1377, 11421, 7, 5026, 19619, 1394, 1005, 31518, 12536, 4093, 26331, 1026, 2859, 18918, 1009, 14734, 13489, 12425, 3788, 1014, 1479, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 39, 1072, 6332, 1424, 26331, 1026, 2859, 18918, 1009, 14734, 13489, 12425, 3788, 1014, 1479, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 39, 1072, 8556, 3141, 2657, 16371, 1128, 14431, 7, 1073, 74, 40, 7344, 12425, 3788, 1014, 8018, 9426, 1006, 26394, 12425, 3788, 1870, 2693, 1224, 31266, 1456, 26125, 1005, 1159, 1006, 26394, 1096, 2817, 5330, 9805, 10686, 1072, 2709, 1049, 3878, 1072, 19690, 1114, 1641, 1009, 18523, 1728, 11421, 1664, 1132, 4972, 3987, 24871, 80, 1461, 20151, 14855, 1364, 1979, 1073, 74, 40, 4093, 26331, 1026, 2859, 7138, 16371, 1128, 14431, 7, 1073, 74, 40, 7344, 12425, 3788, 1014, 1072, 6332, 1424, 26331, 1026, 2859, 7138, 16371, 1128, 14431, 7, 1073, 74, 40, 7344, 12425, 3788, 1014, 1072, 8556, 27648, 89, 29792, 20624, 1375, 71, 1124, 13468, 1049, 1073, 74, 40, 14789, 1072, 1235, 6455, 26440, 1318, 3530, 7896, 1033, 1085, 4156, 1391, 17698, 3595, 1049, 25290, 26394, 1005, 6467, 1887, 1383, 3904, 1184, 1094, 3595, 1049, 4819, 1118, 5948, 20, 1138, 2373, 74, 1095, 12141, 626, 1096, 1048, 2177, 1072, 3391, 1930, 1044, 1908, 1680, 12907, 1118, 1992, 1919, 2652, 8295, 4803, 4347, 1044, 2574, 1322, 3117, 1126, 26394, 1005, 6467, 1887, 1059, 9, 6107, 2253, 54, 74, 40, 4093, 26331, 1026, 2859, 11090 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2092, 22797, 1045, 1422, 1377, 3713, 4082, 1094, 19960, 1006, 1752, 8486, 3907, 1511, 1026, 8079, 1160, 1325, 1054, 28315, 3204, 1160, 1516, 1026, 2535, 1996, 1060, 8957, 20, 1128, 18777, 2978, 3229, 1009, 2490, 3225, 1043, 1094, 3964, 7747, 4355, 2675, 1940, 2675, 1605, 2863, 23630, 3449, 2593, 3863, 1054, 5834, 1493, 1494, 8473, 1505, 3018, 2653, 5015, 28029, 6515, 1026, 5357, 22797, 1045, 19985, 1487, 45, 1206, 1026, 5357, 22797, 1045, 7583, 5300, 12768, 1072, 1901, 16326, 10634, 1026, 2863, 1160, 1058, 31227, 1679, 5834, 1184, 7739, 1704, 2863, 1836, 1114, 3069, 27099, 1049, 4002, 2224, 7985, 3069, 27099, 4345, 1049, 4002, 12505, 1026, 7357, 30079, 1009, 9371, 1566, 1195, 23630, 2149, 43, 18539, 9072, 1048, 1006, 3069, 15339, 1325, 5321, 18, 2088, 22503, 22797, 1045, 1620, 9977, 1026, 2863, 1704, 2863, 1096, 1043, 1026, 3159, 1009, 8600, 1049, 2380, 30369, 11149, 2653, 3356, 1452, 1054, 6019, 3960, 2863, 1072, 6137, 4002, 2224, 27099, 20, 17626, 1048, 1026, 5357, 1160, 15606, 1026, 2863, 11207, 1195, 2092, 1831, 8079, 22797, 3947, 1005, 1058, 1096, 1992, 1048, 1026, 5357, 17336, 1235, 16192, 18, 1668, 2177, 1026, 2092, 3810, 675, 0, 1940, 2675, 1940, 2675, 3141, 43, 2980, 1138, 1211, 2024, 2343, 1078, 57, 3085, 1722, 1253, 1009, 26658, 31909, 1291, 3312, 1184, 5025, 1009, 8359, 8539, 3988, 1094, 4081, 9438, 1576, 7173, 5265, 1094, 4081, 9438, 1048, 1298, 3371, 1006, 5807, 1026, 10851, 1009, 2303, 1043, 23963, 20, 1776, 2268, 3048, 1664, 1132, 5015, 28029, 17420, 10048, 1026, 15346, 2340, 1264, 6865, 1094, 3444, 30190, 1009, 10314, 1005, 1094, 7442, 19164, 24464, 10850, 18919, 1009, 2289, 18143, 27591, 1068, 14422, 2765, 2135, 7807, 2135, 18792, 1009, 3444, 30190, 2135, 2193, 13278, 1664, 1132, 1858, 11372, 1131, 30190, 1009, 10314, 1308, 2308, 4116, 31454, 1026, 25046, 1160, 4426, 2140, 1026, 18919, 21987, 3735, 1026, 8079, 5037, 12583, 1005, 1006, 7091, 22283, 6678, 10215, 9613, 2962, 75, 1456, 7847, 4202, 1006, 2323, 1049, 11473, 1099, 11940, 1009, 20075, 4535, 1005, 4967, 3515, 1727, 2135, 3088, 1029, 1348, 3873, 13196, 18905, 1565, 1082, 3293, 1068, 2373, 3885, 12847, 626, 1005, 13077, 1132, 7847, 1048, 5902, 4355, 2675, 8422, 1058, 4337, 1058, 1026, 5357, 1325, 19678, 5816, 1467, 14345, 1160, 1058, 4337, 1058, 1026, 5357, 1325, 19678, 1049, 10999, 4333, 1132, 3523, 13300, 2088, 9556, 1054, 3195, 22105, 1037, 1069, 1766, 5015, 28029, 3634, 7340, 1456, 5812, 20, 1776, 2268, 1857, 1160, 4504, 1046, 1006, 27766, 1049, 2863, 4355, 2675, 5919, 3136, 1118, 28639, 1132, 5015, 28029, 1998, 1693, 9212, 1118, 1094, 8239, 3092, 1049, 5357, 1322, 1026, 25683, 5126, 1318, 1693, 3689, 1006, 4081, 9438, 10865, 4109, 11492, 9959, 1184, 4816, 1322, 1026, 22613, 2863, 1009, 7357, 1009, 9371, 1054, 2088, 22503, 5357, 22797, 1045, 1986, 1006, 8957, 1068, 1026, 4002, 12505, 3574, 10939, 1668, 2859, 1043, 2266, 12082, 10599, 1318, 1298, 14536, 1123, 29215, 1348, 1009, 17143, 2135, 2863, 1068, 4002, 2224, 1054, 22503, 22797, 1045, 1533, 1410, 2983, 1083, 8448, 23, 1009, 3113, 1308, 3487, 32, 7157, 1071, 9590, 3692, 1138, 27889, 1049, 5357, 1072, 8556, 1318, 1325, 13930, 1679, 5015, 1048, 3635, 1127, 1040, 1072, 3756, 1009, 3227, 1068, 1419, 1058, 1026, 2863, 12617, 1802, 3423, 2668, 1006, 2759, 1318, 1325, 13930, 1679, 5015, 1048, 1365, 83, 1054, 4280, 1043, 1006, 2759, 1009, 5875, 1118, 25902, 1068, 3524, 1184, 8377, 2875, 1417, 7843, 2315, 1159, 1616, 1096, 4417, 20, 3713, 1298, 3689, 31454, 1026, 8079, 1072, 3756, 1009, 3227, 1005, 1419, 1058, 5325, 1680, 37, 10628, 8396, 1159, 1195, 20, 4015, 2675, 1308, 3776, 2980, 2561, 16241, 15914, 95, 91, 1009, 2922, 1054, 1941, 1956, 91, 2112, 1159, 18897, 1799, 1096, 21734, 2660, 1467, 1410, 2983, 1101, 8448, 24, 1009, 3113, 1308, 3430, 32, 3413, 1071, 9590, 3692, 2858, 12652, 1049, 5357, 12470, 1072, 9030, 1348, 1009, 3171, 3092, 1048, 4538, 1945, 1026, 6840, 1049, 3142, 1322, 3171, 1009, 9371, 1986, 1006, 8957, 1049, 4002, 2224, 1533, 9698, 1087, 2315, 1224, 3629, 7, 2494, 3364, 1187, 9677, 1160, 1190, 9055, 7340, 1094, 3484, 31297, 1309, 4538, 10939, 1224, 16094, 1005, 1274, 10939, 1124, 2266, 14707, 1068, 5275, 1026, 30369, 4015, 2675, 7199, 1410, 2983, 1307, 8448, 25, 1009, 3113, 1308, 1839, 32, 2721, 1071, 10274, 3692, 8106, 1026, 5357, 1325, 7187, 1068, 10380, 3171, 1009, 31325, 1060, 9371, 1072, 4002, 12505, 6851, 2602, 1848, 1068, 14422, 2765, 1060, 9371, 36, 11473, 1099, 11940, 1009, 9371, 2170, 1054, 4702, 19437, 1006, 4169, 2373, 45, 1281, 1099, 1787, 7847, 8863, 4324, 1058, 1160, 5037, 2248, 1140, 1118, 4308, 11492, 2248, 1599, 1132, 7847, 1048, 1299, 1160, 5471, 1043, 8692, 3417, 1027, 1009, 22003, 9371, 1054, 2277, 4367, 20, 1776, 2268, 1318, 3901, 1048, 1124, 25690, 1693, 1178, 20255, 1580, 1054, 2350, 7653, 2098, 79, 1146, 11126, 16729, 2845, 1159, 1044, 2788, 1009, 19783, 1009, 4639, 4538, 2636, 1043, 7051, 2751, 1054, 4816, 2373, 1131, 3808, 3907, 626, 1206, 2373, 1774, 3993, 2897, 8226, 1482, 3819, 5847, 5426, 5025, 1596, 5482, 1580, 1118, 5169, 1159, 4670, 18707, 14074, 8855, 1678, 1163, 1127, 5273, 1100, 28133, 41, 1237, 1099, 2975, 5575, 1019, 2640, 18, 2045, 1205, 1827, 1324, 4557, 3287, 10040, 1005, 2653, 10922, 16386, 3291, 1184, 1322, 3230, 37, 6168, 7216, 7358, 1281, 4770, 5777, 2461, 15732, 625, 60, 1031, 2408, 1054, 3546, 3174, 1339, 2270, 1144, 27741, 17547, 79, 12979, 8969, 21865, 20, 5722, 10538, 1049, 7483, 20, 8785, 1291, 1054, 31614, 4153, 8467, 1348, 1009, 20135, 626, 10888, 23407, 20478, 1253, 12796, 3363, 1093, 1424, 1026, 6695, 78, 1234, 13826, 1678, 1006, 8680, 21923, 3823, 8004, 1009, 2011, 12808, 1068, 6044, 3245, 6574, 1054, 6391, 2324, 4315, 26655, 1049, 23102, 19774, 1253, 3399, 1207, 4142, 3020, 18020, 32, 2034, 3460, 13357, 28165, 1094, 3484, 31758, 1024, 3484, 1605, 1235, 7137, 1009, 7793, 1160, 2177, 2218, 2270, 10348, 3750, 11993, 18910, 1043, 3125, 4093, 19108, 3125, 2324, 2576, 3125, 1383, 4066, 3125, 27204, 18762, 1528, 1024, 1026, 2092, 10840, 7793, 1005, 2788, 3057, 9740, 1068, 1006, 4958, 1472, 1048, 1503, 11971, 1059, 295, 1691, 1947, 1809, 23520, 14917, 1946, 19570, 2555, 3418, 1467, 3669, 1108, 9301, 5376, 27572, 1294, 6022, 1060, 11019, 22283, 16834, 96, 1545, 9160, 6391, 1207, 1281, 4770, 5777, 2461, 75, 11958, 1946, 19570, 2555, 3418, 1467, 8957, 23351, 1902, 8721, 626, 1009, 13009, 1409, 6246, 1123, 10257, 1024, 1816, 1566, 1325, 5321, 16834, 96, 1545, 8856, 6391, 1207, 1281, 4770, 5777, 2461, 75, 11958, 1946, 19570, 2555, 3418, 1467, 18190, 6321, 1094, 8957, 1009, 3227, 1054, 3049, 1009, 12034, 12012, 1043, 1026, 21992, 1067, 1404, 16834, 96, 1545, 8856, 6391, 1207, 1281, 4770, 5777, 2461, 75, 2995, 25374, 30585, 1108, 1084, 8475, 6599, 49, 1917, 1108, 1005, 8475, 89, 2324, 1179, 1122, 1660, 11658, 1691, 10926, 6184, 1691, 2391, 1383, 17500, 1797, 1979, 2555, 31283, 5, 1018, 2901, 5, 1032, 30552, 1337, 2503, 31110, 1009, 13989, 3259, 1940, 1958, 18630, 1009, 2778, 1458, 1576, 9261, 17698, 3230, 2503, 51, 7521, 26373, 28789, 2503, 31110, 1009, 13989, 3259, 1940, 1958, 18630, 1009, 2778, 1458, 1605, 1612, 1660, 2402, 2013, 7915, 58, 3083, 7309, 18561, 5462, 8883, 16106, 28502, 1063, 6089, 64, 2581, 15500, 60, 3083, 2164, 1142, 23537, 22964, 53, 6125, 3071, 14257, 16282, 8883, 16106, 28502, 2818, 1073, 30856, 3083, 11756, 18839, 4414, 47, 9435, 8883, 48, 4436, 9435, 10473, 18109, 52, 4055, 2393, 1082, 5794, 2428, 10473, 11136, 1067, 4503, 2164, 1163, 2805, 46, 2053, 4212, 1128, 39, 62, 2545, 2818, 1073, 30856, 3083, 11756, 6793, 1084, 6793, 6445, 14607, 3402, 6860, 1063, 6089, 64, 2581, 3375, 3640, 20, 1063, 6089, 64, 2581, 18, 1138, 1142, 9696, 8820, 7309, 53, 1063, 6089, 64, 2581, 18, 1063, 6089, 64, 31311, 10895, 13561, 63, 1084, 1138, 1142, 9696, 8820, 7309, 53, 1063, 6089, 64, 31311, 10895, 13561, 63, 27259, 15275, 41, 2545, 26129, 10274, 56, 2980, 2545, 6764, 1063, 6089, 64, 2581, 3375, 3640, 18, 5394, 17388, 22819, 12903, 2545, 18839, 4414, 47, 2980, 2545, 20, 28022, 22964, 53, 6125, 9435, 6764, 1063, 6089, 64, 140, 52, 47, 2722, 1163, 2805, 46, 3642, 2428, 6860, 22656, 12175, 2818, 18839, 4414, 47, 15104, 10473, 6860, 9554, 2545, 18427, 7146, 135, 18797, 2870, 20, 25777, 5264, 45, 2980, 7185, 1063, 6089, 64, 2581, 12239, 23486, 1063, 48, 14083, 2053, 1063, 1073, 7567, 2053, 11018, 1128, 39, 62, 2545, 5462, 1067, 22580, 7, 30196, 2545, 11018, 1156, 6089, 45, 17545, 2818, 8883, 42, 7270, 2428, 27259, 2818, 8883, 54, 5264, 5237, 9399, 2818, 1063, 6089, 64, 2581, 3375, 3640, 1084, 2818, 9036, 4826, 1205, 15083, 5237, 26430, 20, 1, 1063, 12425, 3788, 1014, 17368, 1094, 5966, 1043, 1006, 8629, 93, 42, 1185, 1005, 7289, 1006, 12425, 42, 1185, 18, 1094, 26394, 15258, 1068, 1026, 2529, 1060, 8629, 93, 42, 1185, 1054, 1764, 10533, 1067, 7599, 2981, 75, 1063, 8382, 1043, 5843, 15795, 1009, 15845, 21437, 6710, 2875, 1220, 1436, 4093, 26331, 1026, 2859, 14734, 13489, 12425, 42, 1185, 18, 4661, 1357, 12425, 3788, 1014, 1072, 6332, 1424, 26331, 1026, 2859, 14734, 13489, 12425, 42, 1185, 18, 4661, 1357, 12425, 3788, 1014, 1072, 8556, 1797, 1568, 2178, 8681, 3788, 1014, 29158, 7884, 4119, 8018, 9426, 1026, 3366, 31729, 8681, 3788, 1014, 29158, 7884, 4119, 1048, 28620, 1114, 17760, 1005, 22341, 1043, 1006, 24871, 80, 1461, 5092, 12425, 3788, 2652, 11421, 4972, 1322, 1026, 12987, 1124, 24871, 9234, 1242, 7287, 1833, 16033, 4093, 26331, 1026, 2859, 31729, 8681, 3788, 1014, 29158, 7884, 4119, 1072, 6332, 1424, 26331, 1026, 2859, 31729, 8681, 3788, 1014, 29158, 7884, 4119, 1072, 8556, 1605, 1853, 1049, 6682, 6278, 1060, 14734, 13489, 5898, 0, 28016, 1026, 1048, 1325, 8667, 1157, 1072, 6682, 6278, 1060, 14734, 13489, 1009, 7240, 1124, 24871, 4251, 5500, 31104, 1026, 1156, 21321, 6278, 1009, 14734, 1167, 26788, 1124, 13357, 1159, 1006, 26394, 4871, 9176, 1005, 1006, 26394, 9437, 2973, 1051, 1140, 1054, 2696, 3308, 1009, 1429, 9915, 1833, 16033, 4093, 26331, 1026, 2859, 1138, 1853, 1049, 6682, 6278, 1060, 14734, 13489, 5898, 0, 1072, 6332, 1424, 26331, 1026, 2859, 1138, 1853, 1049, 6682, 6278, 1060, 14734, 13489, 5898, 0, 1072, 8556, 5168, 73, 1512, 12155, 11735, 6682, 28967, 1009, 14734, 13489, 28016, 1006, 8716, 1048, 1026, 1632, 1162, 1009, 2529, 2521, 1072, 3366, 6827, 1512, 1126, 4949, 1114, 1641, 1009, 14572, 1005, 14780, 1043, 2182, 24871, 9234, 1242, 1005, 1184, 1009, 3886, 26125, 2625, 1009, 24871, 4251, 14660, 5048, 5504, 1497, 26394, 1005, 7138, 1144, 624, 16022, 25506, 16033, 4093, 26331, 1026, 2859, 6827, 1512, 12155, 11735, 6682, 28967, 1009, 14734, 13489, 1072, 6332, 1424, 26331, 1026, 2859, 6827, 1512, 12155, 11735, 6682, 28967, 1009, 14734, 13489, 1072, 8556, 27419, 2482, 1009, 14734, 13489, 12425, 3788, 1014, 1479, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 39, 28016, 1026, 2649, 2482, 3330, 1060, 26394, 12425, 3788, 1014, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 2722, 1094, 26394, 1680, 1541, 86, 1075, 2166, 1049, 3239, 5045, 77, 1423, 17150, 7478, 39, 1005, 2127, 1060, 24871, 80, 1461, 12425, 3788, 1870, 1009, 9841, 1377, 11421, 7, 5026, 19619, 1394, 1005, 31518, 12536, 4093, 26331, 1026, 2859, 18918, 1009, 14734, 13489, 12425, 3788, 1014, 1479, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 39, 1072, 6332, 1424, 26331, 1026, 2859, 18918, 1009, 14734, 13489, 12425, 3788, 1014, 1479, 5045, 77, 1423, 17150, 13471, 5343, 1066, 14473, 7478, 39, 1072, 8556, 3141, 2657, 16371, 1128, 14431, 7, 1073, 74, 40, 7344, 12425, 3788, 1014, 8018, 9426, 1006, 26394, 12425, 3788, 1870, 2693, 1224, 31266, 1456, 26125, 1005, 1159, 1006, 26394, 1096, 2817, 5330, 9805, 10686, 1072, 2709, 1049, 3878, 1072, 19690, 1114, 1641, 1009, 18523, 1728, 11421, 1664, 1132, 4972, 3987, 24871, 80, 1461, 20151, 14855, 1364, 1979, 1073, 74, 40, 4093, 26331, 1026, 2859, 7138, 16371, 1128, 14431, 7, 1073, 74, 40, 7344, 12425, 3788, 1014, 1072, 6332, 1424, 26331, 1026, 2859, 7138, 16371, 1128, 14431, 7, 1073, 74, 40, 7344, 12425, 3788, 1014, 1072, 8556, 27648, 89, 29792, 20624, 1375, 71, 1124, 13468, 1049, 1073, 74, 40, 14789, 1072, 1235, 6455, 26440, 1318, 3530, 7896, 1033, 1085, 4156, 1391, 17698, 3595, 1049, 25290, 26394, 1005, 6467, 1887, 1383, 3904, 1184, 1094, 3595, 1049, 4819, 1118, 5948, 20, 1138, 2373, 74, 1095, 12141, 626, 1096, 1048, 2177, 1072, 3391, 1930, 1044, 1908, 1680, 12907, 1118, 1992, 1919, 2652, 8295, 4803, 4347, 1044, 2574, 1322, 3117, 1126, 26394, 1005, 6467, 1887, 1059, 9, 6107, 2253, 54, 74, 40, 4093, 26331, 1026, 2859, 11090 ]

[ 5113, 1018, 2077, 19006, 1913, 1136, 1159, 1026, 6859, 1009, 30576, 1049, 9192, 15, 1072, 2978, 0, 19951, 4967, 81, 11563, 22657, 1009, 8696, 11775, 16302, 1463, 13865, 9562, 12292, 17548, 1009, 4711, 3296, 9079, 1257, 1257, 1537, 7046, 1009, 3845, 13050, 10742, 1009, 4238, 10742, 12768, 1357, 17729, 12669, 10742, 1009, 1344, 19, 12235, 10742, 1054, 4397, 11635, 1685, 10742, 12772, 1118, 10935, 7430, 10828, 1736, 1, 1344, 2461, 1042, 1108, 1344, 1120, 1013, 1197, 15221, 29505, 1054, 3939, 1009, 2436, 1009, 12056, 1349, 1184, 4485, 1356, 1235, 1720, 15794, 13137, 13, 57, 11545, 1096, 1094, 19925, 1005, 13458, 1342, 3252, 9549, 3720, 1195, 22703, 1054, 7365, 18256, 15029, 1005, 1225, 24909, 23283, 1031, 1685, 1005, 14002, 1685, 1118, 1751, 1009, 1456, 4090, 13231, 26193, 3705, 3372, 1009, 13137, 13, 57, 1032, 1225, 14045, 4366, 1035, 9077, 5221, 2097, 1224, 4809, 1225, 14045, 12558, 9549, 13137, 13, 57, 1032, 10483, 6154, 8548, 1006, 1094, 9850, 4417, 20, 5024, 3372, 1516, 1044, 19925, 18470, 1148, 24993, 1166, 1072, 3239, 1009, 1834, 1086, 2077, 7473, 1005, 1195, 9811, 1054, 1044, 30616, 1047, 1009, 13970, 3849, 1511, 1687, 2257, 1657, 2848, 1646, 1009, 10335, 1005, 1043, 1006, 4809, 17010, 1009, 2280, 79, 8357, 6382, 6284, 1687, 1195, 17046, 1068, 6313, 1043, 1456, 31585, 1054, 11111, 7365, 11358, 7381, 4158, 1105, 1145, 1110, 18528, 5362, 1005, 1163, 1040, 19, 2702, 20453, 27749, 1175, 3917, 15, 10559, 1104, 1157, 1132, 8113, 1060, 5297, 1026, 3239, 2423, 10756, 1160, 1516, 17605, 1114, 2573, 1009, 1235, 18609, 18, 1309, 1159, 13137, 13, 57, 1032, 13756, 1184, 1322, 1124, 18470, 1161, 1049, 5065, 19, 7971, 1043, 1235, 10109, 1687, 6303, 1048, 2257, 1009, 5711, 1159, 12213, 1005, 22830, 1118, 1235, 24506, 3720, 6736, 3475, 1044, 1557, 1054, 2539, 4440, 31543, 11627, 1072, 25543, 1005, 2845, 1006, 4581, 1054, 9752, 1043, 11888, 28473, 6014, 9276, 13137, 13, 57, 1032, 12132, 1043, 1006, 9611, 1078, 13415, 1511, 1687, 2257, 1657, 2182, 2864, 2271, 6021, 1687, 1225, 20842, 1043, 1044, 2285, 1009, 4085, 1680, 1601, 3607, 5494, 1159, 2045, 1180, 2507, 77, 1685, 1088, 1678, 14178, 1633, 2145, 18, 1005, 3788, 1051, 1434, 2878, 20, 13137, 13, 57, 1032, 12978, 4379, 1006, 26805, 2484, 1009, 7427, 1005, 15042, 6141, 1048, 1026, 14306, 8043, 1568, 1096, 1094, 1871, 1009, 1150, 1162, 8529, 1060, 6586, 2100, 5024, 1831, 12930, 1150, 18528, 1832, 1406, 1195, 3941, 1054, 3727, 1009, 3042, 1009, 18089, 3720, 6321, 1235, 2277, 3077, 7311, 1040, 19, 2702, 20453, 8, 1288, 1026, 17591, 1063, 1167, 6036, 1048, 1195, 3941, 1054, 2182, 1009, 3353, 1009, 3917, 4564, 1072, 6783, 3110, 2192, 1005, 15689, 1076, 1292, 16484, 1175, 3863, 15, 3367, 81, 3490, 1032, 2569, 1044, 3129, 1054, 4238, 1072, 2403, 6564, 1324, 1571, 1318, 2569, 1094, 1009, 1569, 6258, 1114, 8547, 9759, 1072, 2403, 1043, 1006, 1011, 1112, 3598, 13272, 3147, 5256, 9349, 8, 1009, 1235, 3077, 9318, 18, 1687, 9890, 1006, 2423, 1213, 2790, 1009, 18613, 89, 3926, 1128, 4938, 1020, 1107, 27903, 1803, 1005, 1119, 2675, 2373, 40, 2984, 1014, 626, 1313, 7370, 9513, 4490, 5187, 3598, 13272, 10227, 8, 1318, 7062, 3863, 1072, 2403, 2343, 2450, 28946, 1005, 1224, 2423, 3598, 1107, 12066, 8, 1072, 2403, 4247, 1095, 2186, 2478, 1218, 3297, 21254, 3403, 1009, 6747, 13137, 13, 57, 1032, 3765, 16697, 1009, 1044, 2017, 2011, 1284, 4975, 5795, 1054, 22400, 1054, 1569, 4928, 18014, 1482, 2978, 1009, 3261, 1009, 6747, 9208, 1048, 1836, 20470, 3606, 6258, 1005, 1094, 15689, 1076, 1292, 1009, 6559, 21097, 17566, 1009, 7420, 5424, 1483, 1076, 5312, 12166, 12456, 3127, 5821, 3296, 2310, 1257, 1257, 1257, 1257, 1257, 1257, 7849, 17148, 1187, 2138, 2365, 3141, 6575, 1248, 1187, 2138, 2365, 22367, 1009, 5065, 1670, 86, 6577, 1009, 7365, 11358, 1467, 81, 13, 57, 1032, 10664, 1223, 2343, 1593, 10756, 2503, 28484, 2972, 1187, 2138, 2365, 1797, 1388, 1170, 13677, 4363, 5817, 17015, 1573, 1060, 1063, 1167, 94, 12342, 17015, 1573, 1060, 9611, 1078, 13415, 1, 1063, 12868, 24942, 1096, 1094, 1271, 10900, 1049, 26786, 1009, 3777, 2057, 1626, 18, 11843, 1054, 3777, 2057, 1626, 18, 1365, 1006, 12868, 6371, 1047, 1005, 1006, 12868, 3584, 4782, 162, 1377, 6381, 1713, 1357, 15611, 1009, 20517, 2605, 1343, 2844, 2882, 1108, 1009, 2642, 1189, 1470, 8429, 5780, 4356, 18758, 17078, 1349, 1381, 1751, 1060, 9832, 1106, 7432, 17916, 1054, 3771, 1009, 3403, 1009, 22839, 9805, 30764, 1072, 22242, 1060, 1868, 1013, 1007, 5884, 1043, 1006, 7334, 1422, 3218, 15264, 1222, 1132, 12576, 3270, 1270, 22623, 2231, 15814, 1085, 2431, 1100, 6371, 1047, 1005, 2955, 14542, 1126, 2594, 1166, 1114, 6263, 1009, 16758, 1723, 1175, 6371, 1047, 3800, 1318, 1257, 26786, 1009, 3777, 2057, 1626, 5, 9832, 1106, 1049, 26786, 1009, 3777, 2057, 1626, 5, 3777, 2057, 1626, 3296, 2310, 1537, 1257, 1257, 11381, 31790, 71, 29564, 8189, 1009, 3777, 2057, 1626, 18195, 1114, 16168, 1054, 8163, 1940, 31790, 71, 1, 2045, 11279, 9942, 18, 6342, 1054, 31432, 1195, 1044, 13501, 1009, 17472, 1049, 7783, 24732, 5093, 15202, 6136, 4071, 15, 4349, 14253, 1009, 18788, 1, 1063, 25699, 1060, 1163, 16260, 29921, 5035, 1356, 19072, 1365, 1132, 6067, 1010, 11108, 1363, 1100, 1009, 6167, 11332, 18, 1005, 1026, 1049, 20727, 1009, 1094, 1712, 11332, 20, 4685, 1717, 4737, 1006, 21791, 2404, 1365, 1124, 22844, 2401, 3011, 1312, 2279, 30297, 1918, 1005, 1124, 1178, 1170, 1005, 21537, 1121, 16130, 1038, 1918, 4349, 1053, 3544, 3705, 5449, 1009, 1163, 16260, 1325, 14046, 1188, 1365, 1124, 4128, 13205, 12085, 0, 11528, 13, 1144, 27117, 3829, 1009, 3474, 1074, 15, 1005, 15166, 0, 9328, 13, 1144, 4593, 3299, 1239, 1043, 3032, 1072, 8703, 1049, 1842, 1189, 1732, 15, 1054, 27750, 20, 1482, 27654, 18, 1365, 1675, 0, 12336, 13, 1138, 1071, 6312, 1459, 1365, 1138, 2140, 84, 1117, 1005, 4948, 1280, 15, 1005, 1844, 0, 1578, 13, 1138, 25298, 1851, 1188, 8989, 1054, 1791, 6453, 32, 11979, 1060, 24394, 1054, 5931, 1105, 1747, 1005, 11979, 1128, 17813, 166, 10368, 17598, 8506, 4395, 8506, 5018, 2914, 1637, 4558, 6482, 2612, 1043, 3130, 5900, 30, 8598, 18600, 1060, 2511, 2596, 32, 6285, 24263, 11838, 4558, 6482, 24977, 2718, 1009, 11332, 18, 6285, 1009, 2397, 1385, 2322, 26, 30804, 27654, 1009, 8506, 1114, 3258, 7594, 1844, 9621, 30804, 5630, 1188, 1233, 5704, 1009, 12237, 16180, 1007, 675, 1307, 7560, 2718, 1009, 27654, 18, 11138, 13869, 16823, 2429, 4375, 1124, 11723, 1005, 2623, 1137, 2370, 20788, 1233, 4668, 4558, 6482, 15, 1005, 1225, 12498, 1009, 6224, 1347, 1005, 1963, 2426, 1005, 11723, 9001, 1273, 1005, 1054, 2357, 1096, 1448, 1024, 86, 1140, 1206, 1043, 2054, 1219, 1010, 2574, 10824, 2223, 27593, 1046, 6453, 1043, 5625, 11707, 1159, 3258, 1237, 3921, 1136, 1463, 1123, 1242, 1106, 5390, 1206, 1006, 1123, 9867, 11288, 2795, 3087, 1114, 1570, 79, 20706, 1009, 2397, 6505, 1006, 1944, 1044, 2269, 1009, 5625, 1004, 3446, 1074, 3552, 8506, 1009, 7346, 13713, 1005, 1006, 2750, 1094, 6317, 1009, 1009, 3131, 4606, 8175, 15514, 1322, 1235, 3319, 3462, 1658, 3364, 1060, 2779, 8983, 1213, 2790, 1009, 6399, 1016, 24263, 4470, 3589, 1294, 4029, 24538, 25920, 1005, 1569, 3905, 1009, 6640, 20, 2034, 6399, 1016, 2643, 4493, 1861, 1022, 2469, 21181, 1006, 1048, 1006, 8506, 4558, 6482, 2374, 1094, 1271, 14205, 1861, 1022, 2032, 1184, 4412, 1049, 7118, 4685, 4532, 1040, 12498, 1009, 15315, 2691, 6972, 2230, 1392, 11190, 1005, 17819, 6603, 6399, 1016, 20699, 75, 3034, 1820, 3240, 1094, 1271, 17099, 1436, 1009, 1163, 16260, 1096, 1006, 4281, 1271, 6399, 1273, 1033, 8081, 1114, 8506, 1463, 1048, 1026, 1449, 1098, 25423, 1132, 1581, 1018, 4007, 92, 1654, 1118, 18530, 1049, 3319, 22800, 1071, 2812, 3029, 16633, 1049, 3319, 1449, 1810, 1565, 2034, 6399, 1016, 1826, 23179, 26339, 1054, 1123, 1242, 1387, 2370, 1005, 1123, 1242, 9492, 1273, 2277, 1224, 3621, 1043, 5085, 1006, 5931, 1105, 1747, 1159, 3311, 1184, 15583, 1009, 1163, 16260, 6603, 1123, 1242, 1387, 2370, 1327, 1124, 1009, 6065, 1430, 1100, 23685, 18, 14763, 3478, 1138, 2529, 1022, 3478, 1072, 1449, 11288, 2795, 7646, 1071, 2575, 6071, 1213, 8100, 1060, 1338, 3829, 1009, 3474, 1074, 1159, 3311, 1184, 1213, 3184, 1009, 1163, 16260, 1349, 1005, 27724, 1706, 2469, 1062, 1171, 2469, 4226, 4690, 18, 14245, 13048, 1229, 3258, 1146, 4385, 3258, 1285, 1005, 1142, 12142, 1005, 1983, 7194, 166, 1016, 6603, 1123, 1242, 9492, 1273, 2252, 1114, 18055, 24263, 4470, 1961, 1327, 1009, 1712, 4466, 20, 9874, 1312, 6958, 3184, 1006, 3821, 15, 1327, 1082, 5214, 1005, 1776, 1411, 1063, 1035, 1093, 1126, 12237, 16180, 1007, 1005, 1205, 1477, 2474, 1182, 1010, 12613, 26600, 1184, 8903, 1327, 1898, 1338, 3829, 1009, 3474, 2106, 1048, 4214, 1026, 3311, 1184, 1213, 3184, 1009, 1163, 16260, 1005, 1006, 15364, 1365, 1026, 16964, 4911, 150, 1012, 1221, 1005, 1026, 1449, 11288, 2795, 20686, 1365, 1124, 6399, 1016, 1009, 1138, 15028, 1136, 1005, 27724, 1706, 1239, 1059, 11446, 2591, 1133, 8035, 1365, 1006, 22827, 1009, 27724, 1706, 1239, 1005, 1132, 3190, 5929, 1166, 1009, 13314, 1188, 1059, 11446, 11697, 2212, 1213, 3184, 1009, 4226, 4690, 1059, 16783, 5292, 2345, 1007, 1100, 4958, 1006, 4735, 86, 1145, 1059, 11446, 14599, 150, 7076, 1048, 31227, 1006, 22827, 1009, 1983, 7194, 166, 1016, 1059, 11446, 1128, 17813, 166, 10368, 2457, 1213, 3821, 1060, 22827, 1009, 1983, 7194, 166, 1273, 3027, 3552, 1009, 1569, 1380, 3783, 1026, 3311, 1184, 15583, 1060, 1163, 16260, 1059, 11446, 5931, 1105, 1747, 18, 5077, 2309, 17185, 1159, 1026, 2822, 1049, 1784, 3201, 1059, 11446, 1067, 1875, 3478, 1048, 22138, 1356, 3821, 1006, 22827, 1009, 1205, 1477, 11402, 82, 3035, 12358, 1396, 1447, 1040, 1006, 1163, 16260, 1026, 26643, 1271, 11723, 1062, 162, 1018, 1071, 1636, 1069, 1357, 6140, 1049, 1134, 6995, 6140, 1009, 8277, 71, 1103, 1136, 1005, 1006, 6140, 1009, 4833, 4191, 79, 27006, 1349, 1026, 26643, 1009, 1138, 1269, 1071, 1636, 1069, 1357, 6140, 1009, 1138, 1269, 1005, 1006, 1009, 4762, 2112, 1349, 1026, 26643, 1009, 1067, 1828, 21069, 1071, 1636, 1069, 2691, 11723, 1009, 1067, 1828, 92, 5696, 1205, 1047, 4998, 1005, 12241, 1074, 1349, 1680, 1159, 2089, 11723, 1159, 10702, 77, 2166, 1063, 1035, 1093, 1126, 1124, 1067, 1020, 3562, 1273, 1206, 1124, 4735, 92, 2032, 33, 1006, 1712, 1751, 1271, 2688, 23487, 1213, 7341, 2769, 1271, 13262, 4911, 150, 1012, 1392, 1533, 1163, 16260, 1318, 3684, 23487, 12498, 1009, 11723, 1184, 6828, 1005, 2623, 14019, 1728, 0, 41, 28960, 1814, 1371, 1048, 1114, 8506, 1009, 1163, 16260, 1837, 1307, 3487, 1886, 15274, 1165, 1229, 2623, 1137, 2370, 1005, 1008, 1604, 2812, 1010, 1113, 13262, 3145, 3436, 5109, 3705, 10474, 1380, 14826, 1048, 4955, 1163, 16260, 1054, 1235, 5109, 1096, 1009, 13003, 15291, 1005, 4078, 1273, 1043, 1094, 1807, 5020, 1009, 6399, 1229, 3023, 2502, 1159, 10773, 1480, 1049, 2293, 16793, 27006, 1072, 20727, 1005, 1463, 9587, 1242, 24263, 11838, 1005, 2832, 2795, 10393, 13244, 1184, 26562, 4932, 4788, 1132, 1048, 4343, 1213, 1449, 11288, 2795, 7646, 1565, 2034, 10099, 1452, 30104, 1726, 2624, 14659, 1040, 1026, 5628, 1006, 1064, 17247, 1448, 1182, 1209, 1273, 1159, 2755, 1294, 1062, 1489, 1121, 1049, 3285, 20, 0, 2814, 2089, 14205, 13136, 3322, 1010, 1581, 1400, 3702, 4444, 1006, 1946, 2165, 1658, 1163, 16260, 1096, 5734, 28797, 1009, 3184, 1006, 15453, 1118, 2156, 13862, 8684, 2681, 3589, 4646, 1435, 1124, 5625, 1049, 7108, 4558, 5831, 1118, 1004, 1478, 5679, 4846, 6751, 1114, 6317, 1049, 1505, 1092, 27006, 1058, 7017, 2120, 10463, 1009, 11569, 2784, 18724, 1493, 12118, 1526, 1054, 3593, 1751, 1009, 1163, 1314, 1126, 1309, 26464, 1072, 16355, 15252, 5682, 1333, 4395, 1163, 16260, 1428, 2372, 1371, 2739, 2624, 1159, 1006, 3548, 1187, 1910, 13244, 1357, 5020, 1009, 6543, 4007, 92, 1654, 1048, 8491, 20, 1482, 5661, 1005, 3121, 1006, 1235, 4466, 21348, 17808, 1026, 4489, 1082, 1810, 1114, 1224, 10512, 1097, 8622, 1206, 1463, 1569, 2739, 2313, 1273, 1327, 13244, 1160, 5016, 2445, 11138, 20191, 4661, 1068, 6828, 2696, 4753, 1072, 11536, 1852, 1305, 10099, 1091, 1009, 2088, 18, 1048, 4099, 11834, 1006, 16908, 1009, 13525, 23120, 6267, 4275, 1159, 1124, 10142, 1150, 96, 4096, 1016, 4985, 3313, 1027, 13244, 1493, 26562, 1114, 8821, 1091, 2832, 2795, 3087, 1005, 2637, 1184, 16089, 1114, 24263, 4470, 1961, 1043, 1124, 27411, 4202, 1049, 1082, 1810, 1005, 1049, 3285, 1048, 2643, 1044, 7456, 1009, 2350, 11112, 1009, 23083, 29970, 2739, 2313, 1016, 1068, 1006, 2935, 1009, 3894, 30301, 3121, 1213, 7423, 1005, 10099, 3017, 1026, 1048, 2817, 1318, 1026, 7825, 6294, 2816, 1187, 19103, 5247, 1159, 1132, 22025, 72, 1074, 29594, 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 ]

[ 5113, 1018, 2077, 19006, 1913, 1136, 1159, 1026, 6859, 1009, 30576, 1049, 9192, 15, 1072, 2978, 0, 19951, 4967, 81, 11563, 22657, 1009, 8696, 11775, 16302, 1463, 13865, 9562, 12292, 17548, 1009, 4711, 3296, 9079, 1257, 1257, 1537, 7046, 1009, 3845, 13050, 10742, 1009, 4238, 10742, 12768, 1357, 17729, 12669, 10742, 1009, 1344, 19, 12235, 10742, 1054, 4397, 11635, 1685, 10742, 12772, 1118, 10935, 7430, 10828, 1736, 1, 1344, 2461, 1042, 1108, 1344, 1120, 1013, 1197, 15221, 29505, 1054, 3939, 1009, 2436, 1009, 12056, 1349, 1184, 4485, 1356, 1235, 1720, 15794, 13137, 13, 57, 11545, 1096, 1094, 19925, 1005, 13458, 1342, 3252, 9549, 3720, 1195, 22703, 1054, 7365, 18256, 15029, 1005, 1225, 24909, 23283, 1031, 1685, 1005, 14002, 1685, 1118, 1751, 1009, 1456, 4090, 13231, 26193, 3705, 3372, 1009, 13137, 13, 57, 1032, 1225, 14045, 4366, 1035, 9077, 5221, 2097, 1224, 4809, 1225, 14045, 12558, 9549, 13137, 13, 57, 1032, 10483, 6154, 8548, 1006, 1094, 9850, 4417, 20, 5024, 3372, 1516, 1044, 19925, 18470, 1148, 24993, 1166, 1072, 3239, 1009, 1834, 1086, 2077, 7473, 1005, 1195, 9811, 1054, 1044, 30616, 1047, 1009, 13970, 3849, 1511, 1687, 2257, 1657, 2848, 1646, 1009, 10335, 1005, 1043, 1006, 4809, 17010, 1009, 2280, 79, 8357, 6382, 6284, 1687, 1195, 17046, 1068, 6313, 1043, 1456, 31585, 1054, 11111, 7365, 11358, 7381, 4158, 1105, 1145, 1110, 18528, 5362, 1005, 1163, 1040, 19, 2702, 20453, 27749, 1175, 3917, 15, 10559, 1104, 1157, 1132, 8113, 1060, 5297, 1026, 3239, 2423, 10756, 1160, 1516, 17605, 1114, 2573, 1009, 1235, 18609, 18, 1309, 1159, 13137, 13, 57, 1032, 13756, 1184, 1322, 1124, 18470, 1161, 1049, 5065, 19, 7971, 1043, 1235, 10109, 1687, 6303, 1048, 2257, 1009, 5711, 1159, 12213, 1005, 22830, 1118, 1235, 24506, 3720, 6736, 3475, 1044, 1557, 1054, 2539, 4440, 31543, 11627, 1072, 25543, 1005, 2845, 1006, 4581, 1054, 9752, 1043, 11888, 28473, 6014, 9276, 13137, 13, 57, 1032, 12132, 1043, 1006, 9611, 1078, 13415, 1511, 1687, 2257, 1657, 2182, 2864, 2271, 6021, 1687, 1225, 20842, 1043, 1044, 2285, 1009, 4085, 1680, 1601, 3607, 5494, 1159, 2045, 1180, 2507, 77, 1685, 1088, 1678, 14178, 1633, 2145, 18, 1005, 3788, 1051, 1434, 2878, 20, 13137, 13, 57, 1032, 12978, 4379, 1006, 26805, 2484, 1009, 7427, 1005, 15042, 6141, 1048, 1026, 14306, 8043, 1568, 1096, 1094, 1871, 1009, 1150, 1162, 8529, 1060, 6586, 2100, 5024, 1831, 12930, 1150, 18528, 1832, 1406, 1195, 3941, 1054, 3727, 1009, 3042, 1009, 18089, 3720, 6321, 1235, 2277, 3077, 7311, 1040, 19, 2702, 20453, 8, 1288, 1026, 17591, 1063, 1167, 6036, 1048, 1195, 3941, 1054, 2182, 1009, 3353, 1009, 3917, 4564, 1072, 6783, 3110, 2192, 1005, 15689, 1076, 1292, 16484, 1175, 3863, 15, 3367, 81, 3490, 1032, 2569, 1044, 3129, 1054, 4238, 1072, 2403, 6564, 1324, 1571, 1318, 2569, 1094, 1009, 1569, 6258, 1114, 8547, 9759, 1072, 2403, 1043, 1006, 1011, 1112, 3598, 13272, 3147, 5256, 9349, 8, 1009, 1235, 3077, 9318, 18, 1687, 9890, 1006, 2423, 1213, 2790, 1009, 18613, 89, 3926, 1128, 4938, 1020, 1107, 27903, 1803, 1005, 1119, 2675, 2373, 40, 2984, 1014, 626, 1313, 7370, 9513, 4490, 5187, 3598, 13272, 10227, 8, 1318, 7062, 3863, 1072, 2403, 2343, 2450, 28946, 1005, 1224, 2423, 3598, 1107, 12066, 8, 1072, 2403, 4247, 1095, 2186, 2478, 1218, 3297, 21254, 3403, 1009, 6747, 13137, 13, 57, 1032, 3765, 16697, 1009, 1044, 2017, 2011, 1284, 4975, 5795, 1054, 22400, 1054, 1569, 4928, 18014, 1482, 2978, 1009, 3261, 1009, 6747, 9208, 1048, 1836, 20470, 3606, 6258, 1005, 1094, 15689, 1076, 1292, 1009, 6559, 21097, 17566, 1009, 7420, 5424, 1483, 1076, 5312, 12166, 12456, 3127, 5821, 3296, 2310, 1257, 1257, 1257, 1257, 1257, 1257, 7849, 17148, 1187, 2138, 2365, 3141, 6575, 1248, 1187, 2138, 2365, 22367, 1009, 5065, 1670, 86, 6577, 1009, 7365, 11358, 1467, 81, 13, 57, 1032, 10664, 1223, 2343, 1593, 10756, 2503, 28484, 2972, 1187, 2138, 2365, 1797, 1388, 1170, 13677, 4363, 5817, 17015, 1573, 1060, 1063, 1167, 94, 12342, 17015, 1573, 1060, 9611, 1078, 13415, 1, 1063, 12868, 24942, 1096, 1094, 1271, 10900, 1049, 26786, 1009, 3777, 2057, 1626, 18, 11843, 1054, 3777, 2057, 1626, 18, 1365, 1006, 12868, 6371, 1047, 1005, 1006, 12868, 3584, 4782, 162, 1377, 6381, 1713, 1357, 15611, 1009, 20517, 2605, 1343, 2844, 2882, 1108, 1009, 2642, 1189, 1470, 8429, 5780, 4356, 18758, 17078, 1349, 1381, 1751, 1060, 9832, 1106, 7432, 17916, 1054, 3771, 1009, 3403, 1009, 22839, 9805, 30764, 1072, 22242, 1060, 1868, 1013, 1007, 5884, 1043, 1006, 7334, 1422, 3218, 15264, 1222, 1132, 12576, 3270, 1270, 22623, 2231, 15814, 1085, 2431, 1100, 6371, 1047, 1005, 2955, 14542, 1126, 2594, 1166, 1114, 6263, 1009, 16758, 1723, 1175, 6371, 1047, 3800, 1318, 1257, 26786, 1009, 3777, 2057, 1626, 5, 9832, 1106, 1049, 26786, 1009, 3777, 2057, 1626, 5, 3777, 2057, 1626, 3296, 2310, 1537, 1257, 1257, 11381, 31790, 71, 29564, 8189, 1009, 3777, 2057, 1626, 18195, 1114, 16168, 1054, 8163, 1940, 31790, 71, 1, 2045, 11279, 9942, 18, 6342, 1054, 31432, 1195, 1044, 13501, 1009, 17472, 1049, 7783, 24732, 5093, 15202, 6136, 4071, 15, 4349, 14253, 1009, 18788, 1, 1063, 25699, 1060, 1163, 16260, 29921, 5035, 1356, 19072, 1365, 1132, 6067, 1010, 11108, 1363, 1100, 1009, 6167, 11332, 18, 1005, 1026, 1049, 20727, 1009, 1094, 1712, 11332, 20, 4685, 1717, 4737, 1006, 21791, 2404, 1365, 1124, 22844, 2401, 3011, 1312, 2279, 30297, 1918, 1005, 1124, 1178, 1170, 1005, 21537, 1121, 16130, 1038, 1918, 4349, 1053, 3544, 3705, 5449, 1009, 1163, 16260, 1325, 14046, 1188, 1365, 1124, 4128, 13205, 12085, 0, 11528, 13, 1144, 27117, 3829, 1009, 3474, 1074, 15, 1005, 15166, 0, 9328, 13, 1144, 4593, 3299, 1239, 1043, 3032, 1072, 8703, 1049, 1842, 1189, 1732, 15, 1054, 27750, 20, 1482, 27654, 18, 1365, 1675, 0, 12336, 13, 1138, 1071, 6312, 1459, 1365, 1138, 2140, 84, 1117, 1005, 4948, 1280, 15, 1005, 1844, 0, 1578, 13, 1138, 25298, 1851, 1188, 8989, 1054, 1791, 6453, 32, 11979, 1060, 24394, 1054, 5931, 1105, 1747, 1005, 11979, 1128, 17813, 166, 10368, 17598, 8506, 4395, 8506, 5018, 2914, 1637, 4558, 6482, 2612, 1043, 3130, 5900, 30, 8598, 18600, 1060, 2511, 2596, 32, 6285, 24263, 11838, 4558, 6482, 24977, 2718, 1009, 11332, 18, 6285, 1009, 2397, 1385, 2322, 26, 30804, 27654, 1009, 8506, 1114, 3258, 7594, 1844, 9621, 30804, 5630, 1188, 1233, 5704, 1009, 12237, 16180, 1007, 675, 1307, 7560, 2718, 1009, 27654, 18, 11138, 13869, 16823, 2429, 4375, 1124, 11723, 1005, 2623, 1137, 2370, 20788, 1233, 4668, 4558, 6482, 15, 1005, 1225, 12498, 1009, 6224, 1347, 1005, 1963, 2426, 1005, 11723, 9001, 1273, 1005, 1054, 2357, 1096, 1448, 1024, 86, 1140, 1206, 1043, 2054, 1219, 1010, 2574, 10824, 2223, 27593, 1046, 6453, 1043, 5625, 11707, 1159, 3258, 1237, 3921, 1136, 1463, 1123, 1242, 1106, 5390, 1206, 1006, 1123, 9867, 11288, 2795, 3087, 1114, 1570, 79, 20706, 1009, 2397, 6505, 1006, 1944, 1044, 2269, 1009, 5625, 1004, 3446, 1074, 3552, 8506, 1009, 7346, 13713, 1005, 1006, 2750, 1094, 6317, 1009, 1009, 3131, 4606, 8175, 15514, 1322, 1235, 3319, 3462, 1658, 3364, 1060, 2779, 8983, 1213, 2790, 1009, 6399, 1016, 24263, 4470, 3589, 1294, 4029, 24538, 25920, 1005, 1569, 3905, 1009, 6640, 20, 2034, 6399, 1016, 2643, 4493, 1861, 1022, 2469, 21181, 1006, 1048, 1006, 8506, 4558, 6482, 2374, 1094, 1271, 14205, 1861, 1022, 2032, 1184, 4412, 1049, 7118, 4685, 4532, 1040, 12498, 1009, 15315, 2691, 6972, 2230, 1392, 11190, 1005, 17819, 6603, 6399, 1016, 20699, 75, 3034, 1820, 3240, 1094, 1271, 17099, 1436, 1009, 1163, 16260, 1096, 1006, 4281, 1271, 6399, 1273, 1033, 8081, 1114, 8506, 1463, 1048, 1026, 1449, 1098, 25423, 1132, 1581, 1018, 4007, 92, 1654, 1118, 18530, 1049, 3319, 22800, 1071, 2812, 3029, 16633, 1049, 3319, 1449, 1810, 1565, 2034, 6399, 1016, 1826, 23179, 26339, 1054, 1123, 1242, 1387, 2370, 1005, 1123, 1242, 9492, 1273, 2277, 1224, 3621, 1043, 5085, 1006, 5931, 1105, 1747, 1159, 3311, 1184, 15583, 1009, 1163, 16260, 6603, 1123, 1242, 1387, 2370, 1327, 1124, 1009, 6065, 1430, 1100, 23685, 18, 14763, 3478, 1138, 2529, 1022, 3478, 1072, 1449, 11288, 2795, 7646, 1071, 2575, 6071, 1213, 8100, 1060, 1338, 3829, 1009, 3474, 1074, 1159, 3311, 1184, 1213, 3184, 1009, 1163, 16260, 1349, 1005, 27724, 1706, 2469, 1062, 1171, 2469, 4226, 4690, 18, 14245, 13048, 1229, 3258, 1146, 4385, 3258, 1285, 1005, 1142, 12142, 1005, 1983, 7194, 166, 1016, 6603, 1123, 1242, 9492, 1273, 2252, 1114, 18055, 24263, 4470, 1961, 1327, 1009, 1712, 4466, 20, 9874, 1312, 6958, 3184, 1006, 3821, 15, 1327, 1082, 5214, 1005, 1776, 1411, 1063, 1035, 1093, 1126, 12237, 16180, 1007, 1005, 1205, 1477, 2474, 1182, 1010, 12613, 26600, 1184, 8903, 1327, 1898, 1338, 3829, 1009, 3474, 2106, 1048, 4214, 1026, 3311, 1184, 1213, 3184, 1009, 1163, 16260, 1005, 1006, 15364, 1365, 1026, 16964, 4911, 150, 1012, 1221, 1005, 1026, 1449, 11288, 2795, 20686, 1365, 1124, 6399, 1016, 1009, 1138, 15028, 1136, 1005, 27724, 1706, 1239, 1059, 11446, 2591, 1133, 8035, 1365, 1006, 22827, 1009, 27724, 1706, 1239, 1005, 1132, 3190, 5929, 1166, 1009, 13314, 1188, 1059, 11446, 11697, 2212, 1213, 3184, 1009, 4226, 4690, 1059, 16783, 5292, 2345, 1007, 1100, 4958, 1006, 4735, 86, 1145, 1059, 11446, 14599, 150, 7076, 1048, 31227, 1006, 22827, 1009, 1983, 7194, 166, 1016, 1059, 11446, 1128, 17813, 166, 10368, 2457, 1213, 3821, 1060, 22827, 1009, 1983, 7194, 166, 1273, 3027, 3552, 1009, 1569, 1380, 3783, 1026, 3311, 1184, 15583, 1060, 1163, 16260, 1059, 11446, 5931, 1105, 1747, 18, 5077, 2309, 17185, 1159, 1026, 2822, 1049, 1784, 3201, 1059, 11446, 1067, 1875, 3478, 1048, 22138, 1356, 3821, 1006, 22827, 1009, 1205, 1477, 11402, 82, 3035, 12358, 1396, 1447, 1040, 1006, 1163, 16260, 1026, 26643, 1271, 11723, 1062, 162, 1018, 1071, 1636, 1069, 1357, 6140, 1049, 1134, 6995, 6140, 1009, 8277, 71, 1103, 1136, 1005, 1006, 6140, 1009, 4833, 4191, 79, 27006, 1349, 1026, 26643, 1009, 1138, 1269, 1071, 1636, 1069, 1357, 6140, 1009, 1138, 1269, 1005, 1006, 1009, 4762, 2112, 1349, 1026, 26643, 1009, 1067, 1828, 21069, 1071, 1636, 1069, 2691, 11723, 1009, 1067, 1828, 92, 5696, 1205, 1047, 4998, 1005, 12241, 1074, 1349, 1680, 1159, 2089, 11723, 1159, 10702, 77, 2166, 1063, 1035, 1093, 1126, 1124, 1067, 1020, 3562, 1273, 1206, 1124, 4735, 92, 2032, 33, 1006, 1712, 1751, 1271, 2688, 23487, 1213, 7341, 2769, 1271, 13262, 4911, 150, 1012, 1392, 1533, 1163, 16260, 1318, 3684, 23487, 12498, 1009, 11723, 1184, 6828, 1005, 2623, 14019, 1728, 0, 41, 28960, 1814, 1371, 1048, 1114, 8506, 1009, 1163, 16260, 1837, 1307, 3487, 1886, 15274, 1165, 1229, 2623, 1137, 2370, 1005, 1008, 1604, 2812, 1010, 1113, 13262, 3145, 3436, 5109, 3705, 10474, 1380, 14826, 1048, 4955, 1163, 16260, 1054, 1235, 5109, 1096, 1009, 13003, 15291, 1005, 4078, 1273, 1043, 1094, 1807, 5020, 1009, 6399, 1229, 3023, 2502, 1159, 10773, 1480, 1049, 2293, 16793, 27006, 1072, 20727, 1005, 1463, 9587, 1242, 24263, 11838, 1005, 2832, 2795, 10393, 13244, 1184, 26562, 4932, 4788, 1132, 1048, 4343, 1213, 1449, 11288, 2795, 7646, 1565, 2034, 10099, 1452, 30104, 1726, 2624, 14659, 1040, 1026, 5628, 1006, 1064, 17247, 1448, 1182, 1209, 1273, 1159, 2755, 1294, 1062, 1489, 1121, 1049, 3285, 20, 0, 2814, 2089, 14205, 13136, 3322, 1010, 1581, 1400, 3702, 4444, 1006, 1946, 2165, 1658, 1163, 16260, 1096, 5734, 28797, 1009, 3184, 1006, 15453, 1118, 2156, 13862, 8684, 2681, 3589, 4646, 1435, 1124, 5625, 1049, 7108, 4558, 5831, 1118, 1004, 1478, 5679, 4846, 6751, 1114, 6317, 1049, 1505, 1092, 27006, 1058, 7017, 2120, 10463, 1009, 11569, 2784, 18724, 1493, 12118, 1526, 1054, 3593, 1751, 1009, 1163, 1314, 1126, 1309, 26464, 1072, 16355, 15252, 5682, 1333, 4395, 1163, 16260, 1428, 2372, 1371, 2739, 2624, 1159, 1006, 3548, 1187, 1910, 13244, 1357, 5020, 1009, 6543, 4007, 92, 1654, 1048, 8491, 20, 1482, 5661, 1005, 3121, 1006, 1235, 4466, 21348, 17808, 1026, 4489, 1082, 1810, 1114, 1224, 10512, 1097, 8622, 1206, 1463, 1569, 2739, 2313, 1273, 1327, 13244, 1160, 5016, 2445, 11138, 20191, 4661, 1068, 6828, 2696, 4753, 1072, 11536, 1852, 1305, 10099, 1091, 1009, 2088, 18, 1048, 4099, 11834, 1006, 16908, 1009, 13525, 23120, 6267, 4275, 1159, 1124, 10142, 1150, 96, 4096, 1016, 4985, 3313, 1027, 13244, 1493, 26562, 1114, 8821, 1091, 2832, 2795, 3087, 1005, 2637, 1184, 16089, 1114, 24263, 4470, 1961, 1043, 1124, 27411, 4202, 1049, 1082, 1810, 1005, 1049, 3285, 1048, 2643, 1044, 7456, 1009, 2350, 11112, 1009, 23083, 29970, 2739, 2313, 1016, 1068, 1006, 2935, 1009, 3894, 30301, 3121, 1213, 7423, 1005, 10099, 3017, 1026, 1048, 2817, 1318, 1026, 7825, 6294, 2816, 1187, 19103, 5247, 1159, 1132, 22025, 72, 1074, 29594, 1049 ]

[ 1060, 8423, 1852, 1096, 4230, 12350, 1026, 2542, 1828, 17635, 2340, 8769, 1060, 4214, 1006, 16403, 4159, 10857, 20, 1084, 1009, 12837, 5342, 1044, 2468, 1184, 5573, 1049, 5482, 2647, 2340, 1006, 9365, 1043, 2739, 2263, 2811, 21915, 18867, 1006, 1448, 2140, 2219, 1059, 5562, 8582, 1009, 12272, 29447, 5486, 3500, 4354, 5512, 9601, 1096, 21784, 1009, 21659, 1208, 1385, 1005, 3894, 1005, 29807, 1026, 9607, 1009, 3944, 3843, 11421, 1124, 8582, 1048, 1299, 1298, 7682, 1043, 2122, 1359, 12307, 1072, 1235, 5512, 1898, 4416, 1416, 1083, 1479, 5139, 2742, 22660, 1072, 5512, 1009, 8270, 9601, 1005, 6548, 3900, 4416, 1416, 1101, 1479, 1633, 17419, 1043, 8710, 3556, 1005, 3129, 1009, 9852, 1043, 6344, 1170, 25446, 4578, 1044, 5512, 8200, 1043, 8852, 5255, 1599, 1668, 2743, 1033, 2607, 1463, 6344, 1170, 20601, 1005, 28980, 1273, 2374, 1072, 3129, 1009, 9852, 1206, 1114, 13662, 1009, 14143, 1049, 3044, 25610, 20, 2034, 28727, 1312, 21774, 1046, 1006, 8902, 24823, 1416, 1307, 1479, 1633, 17419, 7926, 1043, 11276, 13228, 24009, 1295, 1231, 1124, 9136, 1043, 1006, 1359, 32, 1299, 1298, 2837, 1044, 5512, 9601, 1043, 1026, 2490, 1009, 1588, 90, 2440, 1273, 2438, 3607, 5066, 1229, 13897, 1005, 1734, 15965, 1048, 25268, 1040, 1006, 1359, 1054, 1044, 3563, 6548, 20, 11014, 5576, 18, 1006, 13662, 1009, 14143, 8720, 1236, 1225, 1026, 9601, 1054, 17360, 18, 1992, 1159, 1132, 18395, 5425, 1026, 6980, 1114, 9852, 1005, 1006, 1588, 5982, 1925, 24823, 1416, 1422, 1479, 1633, 17419, 1068, 6117, 1043, 1090, 1526, 13228, 24572, 5576, 18, 1026, 3957, 1009, 6081, 5486, 10153, 11133, 1046, 1006, 1359, 13228, 1072, 22748, 20584, 1006, 17669, 1239, 1005, 1006, 1448, 11941, 1056, 1328, 1048, 15022, 1026, 25473, 1992, 1159, 1026, 11241, 15172, 1006, 13662, 1009, 14143, 1005, 1006, 17669, 1239, 1072, 7711, 1060, 1457, 1377, 1138, 3129, 1009, 9852, 6856, 1043, 1211, 1197, 22552, 1060, 1359, 24823, 1416, 1487, 1479, 16386, 1261, 1044, 5512, 1184, 21864, 37, 27551, 1133, 1114, 9852, 13228, 24823, 1416, 1675, 1479, 1633, 17419, 1068, 3897, 1043, 30227, 2012, 25446, 24572, 5576, 18, 1006, 13662, 1009, 14143, 1005, 1124, 30227, 2012, 8773, 1312, 1114, 2258, 1087, 1239, 18846, 1006, 1359, 3904, 3089, 1159, 6522, 24823, 1416, 1779, 1479, 7672, 1973, 1048, 1026, 5512, 1060, 6117, 1160, 1298, 1178, 9601, 3900, 4416, 1416, 1799, 1479, 1138, 3129, 1009, 9852, 1068, 5512, 9601, 1298, 1178, 1680, 2369, 4907, 24823, 1416, 1844, 1479, 1138, 5512, 9601, 1005, 1080, 1259, 75, 1096, 1094, 9546, 12570, 24823, 1416, 1782, 1479, 1063, 9852, 3869, 1140, 1009, 9601, 6733, 1026, 3563, 1680, 7868, 1800, 85, 24823, 1416, 2475, 1479, 3316, 10009, 4169, 1096, 5486, 1439, 1026, 5512, 9601, 1005, 18106, 24823, 1416, 2224, 39, 1479, 2458, 1107, 1048, 4840, 3300, 1230, 1068, 5486, 1439, 1026, 5512, 1049, 1235, 3419, 15162, 1416, 2224, 40, 1479, 3316, 11276, 13228, 1005, 18106, 12639, 1054, 7041, 24823, 1416, 2523, 1479, 1138, 5512, 12896, 1005, 6548, 1096, 9994, 1068, 1783, 1184, 2385, 1016, 1005, 1048, 18631, 1009, 10184, 1184, 16475, 1166, 24823, 1416, 2322, 1479, 1633, 17419, 1043, 3239, 11747, 1005, 11016, 9601, 19176, 5512, 1043, 3239, 30358, 1006, 1359, 13228, 6133, 1072, 11016, 1005, 1294, 4972, 5486, 10153, 24823, 1416, 1984, 1479, 1633, 17419, 1043, 1234, 1035, 9601, 24572, 5576, 18, 1026, 9601, 6133, 3360, 1114, 9852, 1159, 1072, 1234, 1035, 1049, 5512, 20, 3316, 2596, 3630, 1009, 5924, 1006, 1359, 1054, 1235, 10516, 24823, 1416, 2182, 1479, 1633, 17419, 1043, 30541, 18436, 1188, 9601, 6033, 9852, 1060, 2258, 1087, 1239, 3019, 28061, 1006, 4281, 1009, 1044, 30541, 18436, 1188, 1043, 1006, 1359, 13228, 1048, 1058, 9326, 1072, 22748, 3423, 2668, 1006, 28727, 1140, 1114, 2921, 1359, 2522, 17586, 1006, 11276, 24823, 1416, 2128, 1479, 1633, 17419, 1009, 8270, 1043, 9852, 13228, 24572, 5576, 18, 1006, 9852, 13228, 1096, 1026, 6522, 3019, 5512, 7352, 3461, 1005, 10238, 8342, 3673, 1301, 1048, 1006, 16403, 4159, 1049, 9601, 6856, 1132, 13378, 31912, 1005, 1006, 28727, 1140, 2522, 17586, 1006, 11276, 24823, 1416, 1578, 1479, 1633, 17419, 12926, 1043, 11276, 13228, 9346, 5576, 1009, 5512, 2201, 20479, 1043, 1026, 9601, 1054, 6522, 1114, 9852, 20, 3423, 12481, 1006, 13662, 1009, 14143, 6856, 1006, 2921, 5576, 1043, 5480, 19849, 22847, 1463, 5281, 13228, 1005, 6548, 20, 1063, 30227, 1896, 1318, 24201, 1006, 26063, 1992, 1159, 1124, 12798, 6660, 1072, 11016, 6548, 24823, 1416, 1204, 1479, 1633, 17419, 3239, 19866, 1043, 3129, 1009, 9852, 9601, 24823, 1416, 1158, 1479, 5139, 2742, 22729, 1006, 9852, 1049, 5512, 1043, 1124, 5281, 13228, 1005, 12737, 3900, 4416, 1416, 3186, 1479, 3713, 1298, 1663, 1094, 11276, 1680, 7232, 1140, 1072, 5512, 9601, 24823, 1416, 3295, 1479, 2458, 1107, 1048, 3129, 1009, 9852, 3630, 1068, 5501, 1072, 5512, 1009, 8270, 9601, 24823, 1416, 3404, 1479, 4634, 1094, 4169, 1009, 11276, 1068, 1026, 5512, 9601, 1005, 18106, 24823, 1416, 2978, 1479, 1138, 1048, 7596, 1009, 1663, 1094, 11276, 12639, 1054, 7083, 1072, 5512, 9601, 1005, 9612, 3900, 4416, 1416, 2971, 1479, 1633, 17419, 1009, 14027, 1043, 4249, 1009, 30541, 9601, 23190, 4169, 1096, 26130, 1006, 1359, 13228, 1054, 6941, 4972, 1060, 11276, 32, 3068, 5576, 18, 1006, 1359, 1195, 15002, 1072, 4249, 1271, 27812, 4109, 1060, 1448, 11941, 1056, 6284, 1992, 1159, 1054, 1751, 1060, 2258, 1087, 1239, 1060, 1457, 1377, 1138, 5512, 1620, 6706, 1044, 26349, 9601, 1005, 1094, 13662, 1009, 14143, 1043, 4972, 1114, 1359, 24823, 1416, 3727, 1479, 1633, 17419, 1009, 8270, 1043, 11276, 1054, 7331, 1005, 9601, 9346, 4169, 1048, 4145, 1927, 4918, 1114, 11276, 1096, 15256, 1026, 9601, 1043, 13378, 1009, 7331, 11687, 20, 7509, 28061, 1006, 2768, 1051, 1461, 6856, 2237, 5576, 1114, 2258, 1087, 1239, 1060, 1457, 1126, 1463, 12473, 3716, 1187, 3516, 6420, 1114, 1588, 5982, 1925, 1005, 1054, 1734, 4972, 5486, 10153, 24823, 1416, 3734, 1479, 1633, 17419, 9601, 1005, 1080, 1259, 75, 1043, 4527, 1304, 1005, 14143, 1054, 6522, 24823, 1416, 3771, 1479, 2013, 9940, 1159, 1026, 5512, 9601, 1005, 6548, 2947, 1680, 7232, 1069, 24823, 1416, 3939, 1479, 5139, 2742, 1663, 1094, 11276, 2693, 13228, 1072, 5512, 1009, 8270, 3900, 4416, 1416, 2595, 1479, 1633, 17419, 1043, 2258, 1087, 1239, 13228, 3915, 1044, 5512, 1043, 5281, 16460, 4525, 1159, 1026, 18898, 5342, 2088, 4972, 1068, 26130, 1043, 1006, 1359, 13228, 20, 7509, 11797, 1006, 2258, 1087, 1239, 6706, 1006, 26063, 1992, 1159, 2088, 13897, 6941, 24823, 1416, 4984, 1479, 1633, 17419, 1043, 1448, 11941, 1056, 1328, 13228, 19176, 2743, 1009, 28061, 1006, 9546, 1049, 9601, 1058, 4145, 1043, 1026, 6548, 1054, 17360, 1114, 14143, 1043, 1448, 3567, 1063, 5576, 1620, 6856, 1044, 5054, 5400, 23969, 1043, 10694, 1060, 4930, 1159, 1006, 30306, 4931, 6720, 1005, 1026, 3129, 1009, 9852, 1043, 4972, 1114, 1359, 15162, 1416, 8111, 1479, 1633, 17419, 1009, 15095, 1043, 11276, 13228, 24572, 5576, 1009, 5512, 8200, 1068, 1742, 4693, 1026, 19003, 1187, 6081, 5486, 10153, 1596, 2381, 1166, 1068, 1663, 1044, 9179, 1043, 1006, 1359, 13228, 18, 1159, 1026, 1064, 1432, 3694, 1124, 28727, 3273, 1006, 1588, 5982, 1925, 6344, 5916, 1132, 1008, 4536, 1018, 1005, 1026, 26349, 24823, 1416, 9460, 1479, 1633, 17419, 1009, 8270, 1043, 30227, 2012, 10099, 1452, 25446, 19176, 5512, 18898, 1026, 16590, 1060, 1359, 13228, 1096, 30888, 32, 1657, 1124, 30227, 2012, 6515, 1006, 1359, 1009, 1871, 20837, 20, 1063, 10453, 1271, 28727, 1312, 1114, 14143, 1318, 1201, 1040, 1094, 1090, 22329, 1365, 1026, 6548, 1026, 9601, 24823, 1416, 9670, 1479, 1633, 17419, 1043, 11016, 23116, 9601, 24823, 1416, 6275, 1479, 2458, 1107, 1048, 5342, 1009, 9076, 16182, 1068, 1044, 5512, 1009, 10233, 1045, 24823, 1416, 8060, 1479, 1633, 17419, 1043, 2258, 1087, 1239, 1009, 14798, 9601, 11207, 2743, 1009, 5512, 6548, 2612, 1043, 4972, 1060, 1359, 13228, 1463, 30933, 1009, 28727, 3273, 1992, 1159, 1072, 3129, 1009, 9852, 1043, 2446, 23818, 1090, 1724, 3273, 1114, 2258, 1087, 1239, 1060, 1457, 1126, 9277, 1342, 1005, 1294, 4106, 24823, 1416, 9787, 1479, 1633, 17419, 1043, 2258, 1087, 1239, 1005, 5447, 3752, 1769, 9601, 24823, 1416, 10070, 1479, 1603, 1299, 5902, 1044, 5512, 1680, 28366, 6681, 1133, 1114, 9546, 1271, 5281, 13228, 1005, 15830, 24823, 1416, 9216, 1479, 7672, 1973, 1048, 1160, 4145, 1068, 1663, 1044, 5512, 9601, 1005, 6658, 1068, 1132, 19762, 3900, 4416, 1416, 4110, 1479, 5011, 10815, 1663, 1026, 5512, 1009, 10425, 9601, 1005, 6548, 3900, 4416, 1416, 15166, 1479, 3713, 1298, 5486, 1439, 1026, 5512, 1043, 2625, 13378, 1009, 9601, 24823, 1416, 12336, 1479, 2605, 1026, 9601, 18094, 1096, 1026, 2468, 1184, 10921, 1068, 1663, 24376, 1043, 2089, 5281, 24823, 1416, 12085, 1479, 1603, 1299, 7893, 4492, 1298, 1657, 16766, 1356, 2468, 9601, 1114, 4361, 1049, 5512, 24823, 1416, 11560, 1479, 1633, 17419, 1068, 3978, 1043, 26284, 13228, 24823, 1416, 7631, 1479, 1138, 1048, 7596, 1009, 22660, 1114, 5937, 1009, 5281, 5177, 1016, 1005, 1770, 3795, 1114, 3907, 1009, 5486, 1439, 1026, 5512, 3900, 4416, 1416, 12234, 1479, 1633, 17419, 1009, 2156, 1457, 1016, 1043, 2697, 2147, 1114, 1359, 13228, 24823, 1416, 11528, 1479, 1972, 3417, 1026, 5512, 1184, 1413, 2059, 1005, 16475, 1599, 6681, 1133, 1114, 9546, 1271, 5281, 13228, 1005, 18106, 24823, 1416, 9417, 1479, 5011, 10815, 1054, 1663, 1026, 5512, 1009, 10425, 9601, 3900, 4416, 1416, 9328, 1479, 2458, 1107, 1048, 3129, 1009, 9852, 31314, 1068, 5501, 1072, 5512, 9601, 24823, 1416, 3886, 1479, 3713, 1298, 2071, 1006, 1359, 13228, 1043, 2625, 5281, 1511, 1234, 5486, 1439, 1026, 5512, 24823, 1416, 17452, 1479, 7509, 11797, 1026, 3129, 1009, 9852, 1096, 1026, 6522, 1060, 8902, 11207, 3129, 1009, 9852, 1096, 1026, 6522, 1049, 28061, 1043, 6466, 5775, 1048, 29530, 1040, 1006, 3974, 1060, 5154, 1159, 8794, 1005, 3535, 4846, 1972, 17971, 1043, 1026, 25473, 1026, 19966, 1381, 1026, 9179, 1072, 1345, 14470, 13491, 1114, 9277, 1342, 1005, 1114, 13662, 1009, 14143, 24823, 1416, 15870, 1479, 29371, 1026, 9601, 2947, 1620, 1184, 20837, 1114, 9852, 1043, 1006, 12051, 18411, 5576, 6733, 1026, 5512, 1620, 1184, 20837, 1043, 1026, 9601, 1054, 6522, 1114, 9852, 20, 12427, 1699, 2089, 5281, 1159, 1026, 18898, 1026, 28552, 6081, 5486, 10153, 1005, 13897, 24823, 1416, 17074, 1479, 16386, 26251, 1024, 1114, 11276, 1049, 5512, 7926, 37, 27551, 1133, 1054, 1044, 10527, 9601, 1043, 1006, 1224, 4137, 24823, 1416, 13954, 1479, 3423, 1060, 9852, 13228, 18, 1299, 1298, 2071, 1132, 15965, 1072, 1592, 2468, 24823, 1416, 11923, 1479, 16386, 10927, 1026, 5512, 1009, 8270, 1054, 1044, 3563, 2799, 95, 37, 8017, 1005, 1345, 8433, 1060, 1359, 13228, 24823, 1416, 14877, 1479, 2858, 9601, 11331, 1069, 1068, 1026, 19966, 1114, 9852, 1049, 5512, 24823, 1416, 15681, 1479, 1063, 9852, 13228, 3629, 1006, 22294, 1132, 6081, 1009, 11276, 24823, 1416, 18017, 1479, 5139, 2742, 1663, 1094, 11276, 1043, 1124, 5281, 13228, 18, 18428, 1005, 12737, 3900, 4416, 1416, 16681, 1479, 1603, 1299, 5902, 1094, 11276, 1184, 5368, 1961, 5342, 13378, 1009, 9601, 1184, 11687, 24823, 1416, 5251, 1479, 17301, 1154, 1009, 9601, 20837, 1054, 9852, 1043, 10527, 1009, 7331, 24823, 1416, 22226, 1479, 2605, 1058, 1006, 7898, 1096, 3417, 1026, 5512, 1184, 30424, 6681, 1133, 1114, 9546, 9601, 1005, 2288, 11362, 1, 1138, 1067, 22580, 2818, 1067, 2713, 3710, 47, 2428, 1144, 145, 51, 2393, 53, 16282, 20, 1163, 2805, 18517, 1119, 27154, 18150, 30196, 2428, 11136, 14610, 2545, 13951, 28955, 2870, 7, 9550, 44, 11243, 50, 1252, 1164, 116, 20086, 7294, 1839, 2308, 1404, 2567, 6795, 27, 2744, 1054, 9888, 1054, 3453, 1068, 1456, 1015, 1997, 16103, 4731, 27603, 3640, 4055, 43, 1063, 1180, 9696, 2053, 13807, 21402, 13951, 28955, 2870, 7, 2995, 1122, 44, 11243, 50, 1252, 1164, 4351, 1675, 12110, 21363, 1009, 5587, 9888, 1054, 3453, 13951, 28955, 2870, 20, 7027, 1132, 2250, 1096, 4949, 1044, 21292, 1068, 12116, 1132, 5891, 2734, 1544, 1009, 1752, 1044, 1187, 3794, 1675, 3538, 31626, 1333, 1898, 2267, 5325, 9550, 44, 11243, 50, 1252, 1164, 23018, 4381, 1083, 2267, 5325, 9550, 44, 11243, 50, 1252, 1164, 23126, 1769, 1048, 1299, 1225, 1006, 1663, 1068, 1058, 14820, 1006, 3230, 1096, 1058, 12827, 1439, 1043, 1235, 10840, 28123, 3633, 1005, 14133, 1005, 7137, 1009, 7793, 20, 4378, 4734, 1096, 8443, 1068, 1898, 630, 2462, 2616, 1058, 1299, 1325, 26238, 1068, 6534, 1054, 3794, 24238, 1972, 1184, 2266, 1322, 1124, 5426, 2960, 1170, 18305, 1654, 1005, 1132, 1587, 25439, 1009, 5344, 22872, 11232, 2307, 21138, 1063, 1752, 12686, 9550, 44, 11243, 50, 1252, 1164, 10259, 8471, 1009, 1695, 2925, 1009, 9888, 1356, 24239, 1679, 3794, 2734, 11141, 1138, 1235, 7137, 9443, 8944, 1006, 1299, 4305, 1026, 1695, 1295, 1305, 23990, 3915, 9550, 44, 11243, 50 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8423, 1852, 1096, 4230, 12350, 1026, 2542, 1828, 17635, 2340, 8769, 1060, 4214, 1006, 16403, 4159, 10857, 20, 1084, 1009, 12837, 5342, 1044, 2468, 1184, 5573, 1049, 5482, 2647, 2340, 1006, 9365, 1043, 2739, 2263, 2811, 21915, 18867, 1006, 1448, 2140, 2219, 1059, 5562, 8582, 1009, 12272, 29447, 5486, 3500, 4354, 5512, 9601, 1096, 21784, 1009, 21659, 1208, 1385, 1005, 3894, 1005, 29807, 1026, 9607, 1009, 3944, 3843, 11421, 1124, 8582, 1048, 1299, 1298, 7682, 1043, 2122, 1359, 12307, 1072, 1235, 5512, 1898, 4416, 1416, 1083, 1479, 5139, 2742, 22660, 1072, 5512, 1009, 8270, 9601, 1005, 6548, 3900, 4416, 1416, 1101, 1479, 1633, 17419, 1043, 8710, 3556, 1005, 3129, 1009, 9852, 1043, 6344, 1170, 25446, 4578, 1044, 5512, 8200, 1043, 8852, 5255, 1599, 1668, 2743, 1033, 2607, 1463, 6344, 1170, 20601, 1005, 28980, 1273, 2374, 1072, 3129, 1009, 9852, 1206, 1114, 13662, 1009, 14143, 1049, 3044, 25610, 20, 2034, 28727, 1312, 21774, 1046, 1006, 8902, 24823, 1416, 1307, 1479, 1633, 17419, 7926, 1043, 11276, 13228, 24009, 1295, 1231, 1124, 9136, 1043, 1006, 1359, 32, 1299, 1298, 2837, 1044, 5512, 9601, 1043, 1026, 2490, 1009, 1588, 90, 2440, 1273, 2438, 3607, 5066, 1229, 13897, 1005, 1734, 15965, 1048, 25268, 1040, 1006, 1359, 1054, 1044, 3563, 6548, 20, 11014, 5576, 18, 1006, 13662, 1009, 14143, 8720, 1236, 1225, 1026, 9601, 1054, 17360, 18, 1992, 1159, 1132, 18395, 5425, 1026, 6980, 1114, 9852, 1005, 1006, 1588, 5982, 1925, 24823, 1416, 1422, 1479, 1633, 17419, 1068, 6117, 1043, 1090, 1526, 13228, 24572, 5576, 18, 1026, 3957, 1009, 6081, 5486, 10153, 11133, 1046, 1006, 1359, 13228, 1072, 22748, 20584, 1006, 17669, 1239, 1005, 1006, 1448, 11941, 1056, 1328, 1048, 15022, 1026, 25473, 1992, 1159, 1026, 11241, 15172, 1006, 13662, 1009, 14143, 1005, 1006, 17669, 1239, 1072, 7711, 1060, 1457, 1377, 1138, 3129, 1009, 9852, 6856, 1043, 1211, 1197, 22552, 1060, 1359, 24823, 1416, 1487, 1479, 16386, 1261, 1044, 5512, 1184, 21864, 37, 27551, 1133, 1114, 9852, 13228, 24823, 1416, 1675, 1479, 1633, 17419, 1068, 3897, 1043, 30227, 2012, 25446, 24572, 5576, 18, 1006, 13662, 1009, 14143, 1005, 1124, 30227, 2012, 8773, 1312, 1114, 2258, 1087, 1239, 18846, 1006, 1359, 3904, 3089, 1159, 6522, 24823, 1416, 1779, 1479, 7672, 1973, 1048, 1026, 5512, 1060, 6117, 1160, 1298, 1178, 9601, 3900, 4416, 1416, 1799, 1479, 1138, 3129, 1009, 9852, 1068, 5512, 9601, 1298, 1178, 1680, 2369, 4907, 24823, 1416, 1844, 1479, 1138, 5512, 9601, 1005, 1080, 1259, 75, 1096, 1094, 9546, 12570, 24823, 1416, 1782, 1479, 1063, 9852, 3869, 1140, 1009, 9601, 6733, 1026, 3563, 1680, 7868, 1800, 85, 24823, 1416, 2475, 1479, 3316, 10009, 4169, 1096, 5486, 1439, 1026, 5512, 9601, 1005, 18106, 24823, 1416, 2224, 39, 1479, 2458, 1107, 1048, 4840, 3300, 1230, 1068, 5486, 1439, 1026, 5512, 1049, 1235, 3419, 15162, 1416, 2224, 40, 1479, 3316, 11276, 13228, 1005, 18106, 12639, 1054, 7041, 24823, 1416, 2523, 1479, 1138, 5512, 12896, 1005, 6548, 1096, 9994, 1068, 1783, 1184, 2385, 1016, 1005, 1048, 18631, 1009, 10184, 1184, 16475, 1166, 24823, 1416, 2322, 1479, 1633, 17419, 1043, 3239, 11747, 1005, 11016, 9601, 19176, 5512, 1043, 3239, 30358, 1006, 1359, 13228, 6133, 1072, 11016, 1005, 1294, 4972, 5486, 10153, 24823, 1416, 1984, 1479, 1633, 17419, 1043, 1234, 1035, 9601, 24572, 5576, 18, 1026, 9601, 6133, 3360, 1114, 9852, 1159, 1072, 1234, 1035, 1049, 5512, 20, 3316, 2596, 3630, 1009, 5924, 1006, 1359, 1054, 1235, 10516, 24823, 1416, 2182, 1479, 1633, 17419, 1043, 30541, 18436, 1188, 9601, 6033, 9852, 1060, 2258, 1087, 1239, 3019, 28061, 1006, 4281, 1009, 1044, 30541, 18436, 1188, 1043, 1006, 1359, 13228, 1048, 1058, 9326, 1072, 22748, 3423, 2668, 1006, 28727, 1140, 1114, 2921, 1359, 2522, 17586, 1006, 11276, 24823, 1416, 2128, 1479, 1633, 17419, 1009, 8270, 1043, 9852, 13228, 24572, 5576, 18, 1006, 9852, 13228, 1096, 1026, 6522, 3019, 5512, 7352, 3461, 1005, 10238, 8342, 3673, 1301, 1048, 1006, 16403, 4159, 1049, 9601, 6856, 1132, 13378, 31912, 1005, 1006, 28727, 1140, 2522, 17586, 1006, 11276, 24823, 1416, 1578, 1479, 1633, 17419, 12926, 1043, 11276, 13228, 9346, 5576, 1009, 5512, 2201, 20479, 1043, 1026, 9601, 1054, 6522, 1114, 9852, 20, 3423, 12481, 1006, 13662, 1009, 14143, 6856, 1006, 2921, 5576, 1043, 5480, 19849, 22847, 1463, 5281, 13228, 1005, 6548, 20, 1063, 30227, 1896, 1318, 24201, 1006, 26063, 1992, 1159, 1124, 12798, 6660, 1072, 11016, 6548, 24823, 1416, 1204, 1479, 1633, 17419, 3239, 19866, 1043, 3129, 1009, 9852, 9601, 24823, 1416, 1158, 1479, 5139, 2742, 22729, 1006, 9852, 1049, 5512, 1043, 1124, 5281, 13228, 1005, 12737, 3900, 4416, 1416, 3186, 1479, 3713, 1298, 1663, 1094, 11276, 1680, 7232, 1140, 1072, 5512, 9601, 24823, 1416, 3295, 1479, 2458, 1107, 1048, 3129, 1009, 9852, 3630, 1068, 5501, 1072, 5512, 1009, 8270, 9601, 24823, 1416, 3404, 1479, 4634, 1094, 4169, 1009, 11276, 1068, 1026, 5512, 9601, 1005, 18106, 24823, 1416, 2978, 1479, 1138, 1048, 7596, 1009, 1663, 1094, 11276, 12639, 1054, 7083, 1072, 5512, 9601, 1005, 9612, 3900, 4416, 1416, 2971, 1479, 1633, 17419, 1009, 14027, 1043, 4249, 1009, 30541, 9601, 23190, 4169, 1096, 26130, 1006, 1359, 13228, 1054, 6941, 4972, 1060, 11276, 32, 3068, 5576, 18, 1006, 1359, 1195, 15002, 1072, 4249, 1271, 27812, 4109, 1060, 1448, 11941, 1056, 6284, 1992, 1159, 1054, 1751, 1060, 2258, 1087, 1239, 1060, 1457, 1377, 1138, 5512, 1620, 6706, 1044, 26349, 9601, 1005, 1094, 13662, 1009, 14143, 1043, 4972, 1114, 1359, 24823, 1416, 3727, 1479, 1633, 17419, 1009, 8270, 1043, 11276, 1054, 7331, 1005, 9601, 9346, 4169, 1048, 4145, 1927, 4918, 1114, 11276, 1096, 15256, 1026, 9601, 1043, 13378, 1009, 7331, 11687, 20, 7509, 28061, 1006, 2768, 1051, 1461, 6856, 2237, 5576, 1114, 2258, 1087, 1239, 1060, 1457, 1126, 1463, 12473, 3716, 1187, 3516, 6420, 1114, 1588, 5982, 1925, 1005, 1054, 1734, 4972, 5486, 10153, 24823, 1416, 3734, 1479, 1633, 17419, 9601, 1005, 1080, 1259, 75, 1043, 4527, 1304, 1005, 14143, 1054, 6522, 24823, 1416, 3771, 1479, 2013, 9940, 1159, 1026, 5512, 9601, 1005, 6548, 2947, 1680, 7232, 1069, 24823, 1416, 3939, 1479, 5139, 2742, 1663, 1094, 11276, 2693, 13228, 1072, 5512, 1009, 8270, 3900, 4416, 1416, 2595, 1479, 1633, 17419, 1043, 2258, 1087, 1239, 13228, 3915, 1044, 5512, 1043, 5281, 16460, 4525, 1159, 1026, 18898, 5342, 2088, 4972, 1068, 26130, 1043, 1006, 1359, 13228, 20, 7509, 11797, 1006, 2258, 1087, 1239, 6706, 1006, 26063, 1992, 1159, 2088, 13897, 6941, 24823, 1416, 4984, 1479, 1633, 17419, 1043, 1448, 11941, 1056, 1328, 13228, 19176, 2743, 1009, 28061, 1006, 9546, 1049, 9601, 1058, 4145, 1043, 1026, 6548, 1054, 17360, 1114, 14143, 1043, 1448, 3567, 1063, 5576, 1620, 6856, 1044, 5054, 5400, 23969, 1043, 10694, 1060, 4930, 1159, 1006, 30306, 4931, 6720, 1005, 1026, 3129, 1009, 9852, 1043, 4972, 1114, 1359, 15162, 1416, 8111, 1479, 1633, 17419, 1009, 15095, 1043, 11276, 13228, 24572, 5576, 1009, 5512, 8200, 1068, 1742, 4693, 1026, 19003, 1187, 6081, 5486, 10153, 1596, 2381, 1166, 1068, 1663, 1044, 9179, 1043, 1006, 1359, 13228, 18, 1159, 1026, 1064, 1432, 3694, 1124, 28727, 3273, 1006, 1588, 5982, 1925, 6344, 5916, 1132, 1008, 4536, 1018, 1005, 1026, 26349, 24823, 1416, 9460, 1479, 1633, 17419, 1009, 8270, 1043, 30227, 2012, 10099, 1452, 25446, 19176, 5512, 18898, 1026, 16590, 1060, 1359, 13228, 1096, 30888, 32, 1657, 1124, 30227, 2012, 6515, 1006, 1359, 1009, 1871, 20837, 20, 1063, 10453, 1271, 28727, 1312, 1114, 14143, 1318, 1201, 1040, 1094, 1090, 22329, 1365, 1026, 6548, 1026, 9601, 24823, 1416, 9670, 1479, 1633, 17419, 1043, 11016, 23116, 9601, 24823, 1416, 6275, 1479, 2458, 1107, 1048, 5342, 1009, 9076, 16182, 1068, 1044, 5512, 1009, 10233, 1045, 24823, 1416, 8060, 1479, 1633, 17419, 1043, 2258, 1087, 1239, 1009, 14798, 9601, 11207, 2743, 1009, 5512, 6548, 2612, 1043, 4972, 1060, 1359, 13228, 1463, 30933, 1009, 28727, 3273, 1992, 1159, 1072, 3129, 1009, 9852, 1043, 2446, 23818, 1090, 1724, 3273, 1114, 2258, 1087, 1239, 1060, 1457, 1126, 9277, 1342, 1005, 1294, 4106, 24823, 1416, 9787, 1479, 1633, 17419, 1043, 2258, 1087, 1239, 1005, 5447, 3752, 1769, 9601, 24823, 1416, 10070, 1479, 1603, 1299, 5902, 1044, 5512, 1680, 28366, 6681, 1133, 1114, 9546, 1271, 5281, 13228, 1005, 15830, 24823, 1416, 9216, 1479, 7672, 1973, 1048, 1160, 4145, 1068, 1663, 1044, 5512, 9601, 1005, 6658, 1068, 1132, 19762, 3900, 4416, 1416, 4110, 1479, 5011, 10815, 1663, 1026, 5512, 1009, 10425, 9601, 1005, 6548, 3900, 4416, 1416, 15166, 1479, 3713, 1298, 5486, 1439, 1026, 5512, 1043, 2625, 13378, 1009, 9601, 24823, 1416, 12336, 1479, 2605, 1026, 9601, 18094, 1096, 1026, 2468, 1184, 10921, 1068, 1663, 24376, 1043, 2089, 5281, 24823, 1416, 12085, 1479, 1603, 1299, 7893, 4492, 1298, 1657, 16766, 1356, 2468, 9601, 1114, 4361, 1049, 5512, 24823, 1416, 11560, 1479, 1633, 17419, 1068, 3978, 1043, 26284, 13228, 24823, 1416, 7631, 1479, 1138, 1048, 7596, 1009, 22660, 1114, 5937, 1009, 5281, 5177, 1016, 1005, 1770, 3795, 1114, 3907, 1009, 5486, 1439, 1026, 5512, 3900, 4416, 1416, 12234, 1479, 1633, 17419, 1009, 2156, 1457, 1016, 1043, 2697, 2147, 1114, 1359, 13228, 24823, 1416, 11528, 1479, 1972, 3417, 1026, 5512, 1184, 1413, 2059, 1005, 16475, 1599, 6681, 1133, 1114, 9546, 1271, 5281, 13228, 1005, 18106, 24823, 1416, 9417, 1479, 5011, 10815, 1054, 1663, 1026, 5512, 1009, 10425, 9601, 3900, 4416, 1416, 9328, 1479, 2458, 1107, 1048, 3129, 1009, 9852, 31314, 1068, 5501, 1072, 5512, 9601, 24823, 1416, 3886, 1479, 3713, 1298, 2071, 1006, 1359, 13228, 1043, 2625, 5281, 1511, 1234, 5486, 1439, 1026, 5512, 24823, 1416, 17452, 1479, 7509, 11797, 1026, 3129, 1009, 9852, 1096, 1026, 6522, 1060, 8902, 11207, 3129, 1009, 9852, 1096, 1026, 6522, 1049, 28061, 1043, 6466, 5775, 1048, 29530, 1040, 1006, 3974, 1060, 5154, 1159, 8794, 1005, 3535, 4846, 1972, 17971, 1043, 1026, 25473, 1026, 19966, 1381, 1026, 9179, 1072, 1345, 14470, 13491, 1114, 9277, 1342, 1005, 1114, 13662, 1009, 14143, 24823, 1416, 15870, 1479, 29371, 1026, 9601, 2947, 1620, 1184, 20837, 1114, 9852, 1043, 1006, 12051, 18411, 5576, 6733, 1026, 5512, 1620, 1184, 20837, 1043, 1026, 9601, 1054, 6522, 1114, 9852, 20, 12427, 1699, 2089, 5281, 1159, 1026, 18898, 1026, 28552, 6081, 5486, 10153, 1005, 13897, 24823, 1416, 17074, 1479, 16386, 26251, 1024, 1114, 11276, 1049, 5512, 7926, 37, 27551, 1133, 1054, 1044, 10527, 9601, 1043, 1006, 1224, 4137, 24823, 1416, 13954, 1479, 3423, 1060, 9852, 13228, 18, 1299, 1298, 2071, 1132, 15965, 1072, 1592, 2468, 24823, 1416, 11923, 1479, 16386, 10927, 1026, 5512, 1009, 8270, 1054, 1044, 3563, 2799, 95, 37, 8017, 1005, 1345, 8433, 1060, 1359, 13228, 24823, 1416, 14877, 1479, 2858, 9601, 11331, 1069, 1068, 1026, 19966, 1114, 9852, 1049, 5512, 24823, 1416, 15681, 1479, 1063, 9852, 13228, 3629, 1006, 22294, 1132, 6081, 1009, 11276, 24823, 1416, 18017, 1479, 5139, 2742, 1663, 1094, 11276, 1043, 1124, 5281, 13228, 18, 18428, 1005, 12737, 3900, 4416, 1416, 16681, 1479, 1603, 1299, 5902, 1094, 11276, 1184, 5368, 1961, 5342, 13378, 1009, 9601, 1184, 11687, 24823, 1416, 5251, 1479, 17301, 1154, 1009, 9601, 20837, 1054, 9852, 1043, 10527, 1009, 7331, 24823, 1416, 22226, 1479, 2605, 1058, 1006, 7898, 1096, 3417, 1026, 5512, 1184, 30424, 6681, 1133, 1114, 9546, 9601, 1005, 2288, 11362, 1, 1138, 1067, 22580, 2818, 1067, 2713, 3710, 47, 2428, 1144, 145, 51, 2393, 53, 16282, 20, 1163, 2805, 18517, 1119, 27154, 18150, 30196, 2428, 11136, 14610, 2545, 13951, 28955, 2870, 7, 9550, 44, 11243, 50, 1252, 1164, 116, 20086, 7294, 1839, 2308, 1404, 2567, 6795, 27, 2744, 1054, 9888, 1054, 3453, 1068, 1456, 1015, 1997, 16103, 4731, 27603, 3640, 4055, 43, 1063, 1180, 9696, 2053, 13807, 21402, 13951, 28955, 2870, 7, 2995, 1122, 44, 11243, 50, 1252, 1164, 4351, 1675, 12110, 21363, 1009, 5587, 9888, 1054, 3453, 13951, 28955, 2870, 20, 7027, 1132, 2250, 1096, 4949, 1044, 21292, 1068, 12116, 1132, 5891, 2734, 1544, 1009, 1752, 1044, 1187, 3794, 1675, 3538, 31626, 1333, 1898, 2267, 5325, 9550, 44, 11243, 50, 1252, 1164, 23018, 4381, 1083, 2267, 5325, 9550, 44, 11243, 50, 1252, 1164, 23126, 1769, 1048, 1299, 1225, 1006, 1663, 1068, 1058, 14820, 1006, 3230, 1096, 1058, 12827, 1439, 1043, 1235, 10840, 28123, 3633, 1005, 14133, 1005, 7137, 1009, 7793, 20, 4378, 4734, 1096, 8443, 1068, 1898, 630, 2462, 2616, 1058, 1299, 1325, 26238, 1068, 6534, 1054, 3794, 24238, 1972, 1184, 2266, 1322, 1124, 5426, 2960, 1170, 18305, 1654, 1005, 1132, 1587, 25439, 1009, 5344, 22872, 11232, 2307, 21138, 1063, 1752, 12686, 9550, 44, 11243, 50, 1252, 1164, 10259, 8471, 1009, 1695, 2925, 1009, 9888, 1356, 24239, 1679, 3794, 2734, 11141, 1138, 1235, 7137, 9443, 8944, 1006, 1299, 4305, 1026, 1695, 1295, 1305, 23990, 3915, 9550, 44, 11243, 50 ]

[ 13235, 1317, 1402, 1005, 1033, 1414, 3280, 1467, 2838, 2189, 8149, 4510, 3209, 2322, 24987, 2324, 3376, 28160, 31003, 2561, 3084, 1014, 1054, 4902, 1759, 10146, 17104, 18218, 1006, 3069, 7835, 1009, 2618, 1049, 2017, 12903, 60, 2561, 3084, 1870, 1060, 28160, 31003, 18, 1048, 1325, 1009, 2922, 1213, 2666, 1005, 1751, 1043, 2289, 1068, 6544, 1009, 1456, 19483, 3008, 14574, 3727, 7099, 3209, 15433, 1442, 2324, 5992, 30296, 1809, 1713, 1566, 1325, 1365, 3230, 33, 2550, 7032, 1726, 7943, 1006, 2323, 1009, 2824, 1675, 2308, 27, 4332, 1605, 1184, 2512, 4711, 1060, 1134, 7521, 1054, 7434, 1006, 1008, 1145, 1292, 1809, 1713, 7032, 1726, 4268, 1009, 2220, 1908, 33, 4986, 1699, 23772, 1225, 4410, 1006, 2323, 1009, 2824, 1675, 2308, 27, 4332, 1005, 1006, 4727, 1126, 1009, 2824, 1779, 2567, 3990, 22, 3008, 14574, 2971, 7099, 3209, 2128, 23273, 1576, 20659, 12903, 60, 3577, 1606, 159, 1049, 11257, 1205, 61, 1144, 1070, 1093, 7032, 1726, 7943, 1006, 2323, 1009, 2824, 1799, 2639, 30, 4332, 1576, 20659, 12903, 60, 3577, 1606, 159, 1049, 3099, 4011, 1195, 3941, 3068, 9707, 15883, 15, 1005, 4597, 2156, 7707, 1009, 18567, 33, 1006, 7835, 1009, 2618, 5392, 150, 1118, 2824, 1844, 3218, 4059, 22, 3008, 14574, 2978, 7099, 3209, 1984, 22947, 1940, 7521, 10920, 1006, 3047, 1809, 1713, 2861, 3662, 3069, 1043, 1712, 4008, 1009, 7747, 1060, 4783, 1576, 1145, 1292, 24858, 1076, 1060, 30296, 4597, 2156, 3918, 1009, 30306, 32, 1006, 31382, 2861, 3662, 1043, 2156, 5584, 1273, 1005, 1006, 30306, 4727, 1126, 1043, 2125, 3918, 1009, 18567, 33, 6022, 1620, 1160, 1596, 24034, 1691, 1500, 7332, 3295, 7099, 3209, 14115, 1442, 2324, 1398, 1056, 14779, 17402, 1009, 12849, 1009, 5453, 1068, 13898, 1130, 1307, 7560, 6044, 1072, 2293, 1797, 1671, 8496, 75, 1006, 14545, 18231, 1049, 6980, 1009, 6044, 1054, 3064, 6885, 18, 1048, 1516, 1009, 4004, 9238, 18635, 33, 10314, 2817, 1132, 5834, 1570, 22878, 14548, 71, 1005, 1344, 3123, 1678, 1048, 3156, 1046, 1365, 2824, 16681, 1910, 1005, 2824, 1782, 2534, 30, 1910, 8422, 22292, 3186, 7099, 3209, 17968, 4673, 3008, 2448, 1049, 9591, 32, 14828, 1166, 1060, 3757, 1327, 23399, 1009, 3510, 7332, 1009, 25513, 1759, 1014, 1027, 14828, 1166, 19262, 1060, 1205, 61, 1983, 1407, 5247, 1156, 1167, 3426, 22781, 4314, 12666, 1005, 4419, 3420, 3008, 14574, 2128, 7099, 3209, 14115, 3487, 1576, 17118, 1060, 1134, 7521, 6468, 1046, 27635, 4449, 28607, 1060, 2360, 30296, 1809, 1713, 33, 17777, 5168, 2035, 1060, 1008, 1145, 1292, 24858, 1076, 1325, 1006, 2220, 17503, 1072, 27186, 13498, 1252, 1343, 1009, 1106, 13506, 33, 22189, 1118, 23843, 2550, 4537, 150, 1726, 21019, 2012, 1620, 3057, 3681, 33, 6022, 3775, 24034, 1072, 1531, 3727, 1797, 28845, 10923, 7099, 3209, 12150, 1442, 5640, 5891, 1596, 24034, 3068, 9137, 29844, 1357, 2376, 3039, 1167, 1126, 8621, 1048, 5759, 1124, 3510, 7332, 30752, 1072, 1561, 1940, 1017, 1231, 19, 31545, 3039, 10916, 7099, 3209, 14098, 2337, 1797, 1220, 7608, 32, 3064, 2235, 2650, 1376, 1396, 1166, 1357, 1134, 7521, 1963, 4433, 10034, 1054, 17655, 1072, 1561, 30110, 13028, 2916, 1009, 4110, 6044, 1060, 30296, 1574, 28347, 5343, 2643, 1666, 1069, 1114, 6389, 5473, 6486, 33, 1054, 1106, 18209, 7590, 1060, 1106, 4096, 1034, 1566, 3661, 1984, 15250, 13712, 2502, 1357, 1134, 7521, 1467, 28162, 5063, 10479, 7099, 3209, 14098, 2830, 3564, 4335, 27597, 22669, 2618, 1009, 6939, 1009, 1487, 6616, 1009, 11556, 1114, 4590, 9531, 175, 6197, 3904, 2250, 1846, 1009, 4557, 2440, 1261, 9491, 1188, 6616, 1009, 11556, 1068, 10075, 5660, 20981, 4136, 1049, 1908, 3008, 14574, 9801, 7099, 3209, 14098, 2704, 3141, 1095, 1104, 1140, 9801, 7099, 3209, 11425, 1442, 22919, 5840, 93, 20915, 1745, 4852, 2935, 1054, 1764, 15397, 1043, 4004, 9238, 6044, 1005, 13622, 3872, 3528, 20833, 1033, 1829, 1079, 8880, 1068, 23852, 1060, 3364, 1187, 6044, 6416, 1166, 2365, 2595, 8503, 3209, 1204, 23273, 3008, 14574, 3771, 8503, 3209, 15433, 2708, 1940, 75, 1177, 1322, 1006, 2921, 5732, 1049, 2689, 1100, 28607, 23722, 6434, 17801, 15288, 1060, 4214, 9755, 7032, 1726, 7943, 1054, 9812, 1009, 3370, 33, 6022, 1005, 7707, 1160, 1596, 8430, 1166, 1357, 26157, 1759, 71, 2757, 1068, 6647, 3771, 8503, 3209, 1984, 24383, 3576, 8081, 1049, 2446, 1538, 5982, 1609, 1043, 2208, 1066, 13, 21020, 1043, 3722, 3225, 1726, 7943, 1009, 6163, 4093, 1026, 21834, 1005, 1124, 1057, 9954, 1009, 10511, 4560, 2370, 1356, 2017, 10644, 20131, 1566, 1225, 4614, 10045, 1157, 1026, 4526, 2017, 1118, 1044, 1184, 7836, 1068, 4305, 1006, 5267, 1054, 3453, 29564, 18906, 3771, 8503, 3209, 14248, 4368, 1691, 1676, 1034, 1187, 16596, 1573, 1160, 1836, 17701, 1068, 1124, 6433, 6563, 2565, 13658, 1134, 1937, 2483, 1576, 17118, 1060, 1134, 1937, 20690, 4790, 8645, 1187, 11815, 8755, 1048, 1986, 1006, 7967, 1049, 2017, 12523, 6746, 1271, 6433, 1009, 7471, 6163, 1005, 1305, 1021, 20132, 2177, 5560, 4889, 3008, 2448, 1049, 9591, 3771, 8503, 3209, 14248, 4059, 4093, 1026, 10644, 20131, 5641, 1009, 7041, 6163, 1005, 1305, 1021, 20132, 11368, 1051, 2865, 21100, 1054, 6130, 6170, 82, 8645, 1187, 11815, 2670, 1060, 1134, 1937, 20690, 1195, 1026, 12899, 1060, 12464, 1049, 9591, 2429, 9707, 20392, 3929, 17777, 2088, 1187, 20415, 1049, 7842, 19, 14113, 1043, 1026, 10470, 3008, 2448, 1049, 9591, 3734, 8503, 3209, 14248, 5871, 1576, 1024, 28263, 3734, 8503, 3209, 2322, 27778, 3141, 24668, 24864, 1006, 23146, 4965, 1060, 1144, 1398, 1056, 1072, 1561, 12852, 1506, 13063, 1187, 5834, 12772, 1356, 2417, 1495, 1158, 3413, 3775, 7742, 1054, 3957, 33, 1752, 1094, 8545, 5544, 23146, 1054, 1094, 2413, 1049, 1784, 1691, 30724, 3734, 8503, 3209, 2523, 29435, 19287, 72, 1122, 2592, 5272, 71, 1114, 5641, 1009, 1305, 1021, 20132, 1890, 1006, 7967, 1060, 10049, 1691, 1676, 14919, 1222, 6750, 1009, 7041, 1305, 1021, 20132, 1049, 11169, 2451, 1049, 5549, 1868, 21160, 1225, 19035, 1026, 3159, 1868, 72, 1122, 1054, 2968, 1126, 5883, 4889, 1005, 7072, 4456, 8003, 1009, 5496, 1383, 17500, 3727, 8503, 3209, 14098, 2721, 1940, 1088, 1707, 3727, 8503, 3209, 2322, 24781, 3008, 2448, 1049, 9591, 3727, 8503, 3209, 14248, 5963, 6593, 2260, 2971, 8503, 3209, 16473, 2337, 4093, 4728, 1054, 31232, 27597, 1225, 4409, 1455, 2139, 1072, 1561, 1691, 1500, 3013, 20288, 14566, 1048, 1298, 7556, 4169, 1118, 1734, 10420, 1467, 28162, 5063, 2971, 8503, 3209, 2182, 5207, 3008, 2448, 1049, 9591, 2971, 8503, 3209, 14098, 3452, 1759, 7870, 24046, 1343, 1225, 2848, 3952, 1009, 16249, 1005, 13320, 8976, 1494, 4607, 1060, 2042, 3008, 2448, 1049, 9591, 2971, 8503, 3209, 2322, 28064, 20862, 92, 1105, 1069, 3987, 15600, 6891, 4243, 22534, 4979, 1048, 1026, 4898, 7035, 2916, 1009, 20169, 1049, 26867, 1005, 1048, 1026, 12523, 21207, 1945, 2693, 1006, 11228, 1009, 5407, 1383, 1012, 1436, 1009, 26457, 28019, 1049, 4898, 1060, 5660, 1271, 2848, 1005, 1271, 2156, 16641, 19900, 1009, 30077, 1114, 4958, 3757, 27419, 1078, 1076, 3186, 8503, 3209, 12150, 6259, 1797, 9063, 1081, 1243, 1481, 23270, 26097, 1009, 2824, 3646, 30, 9557, 1068, 1058, 15477, 1024, 1049, 3759, 7941, 19032, 1178, 12215, 1188, 1118, 1261, 1058, 9813, 1069, 1213, 4305, 1044, 20386, 3778, 1060, 9320, 12652, 19362, 1331, 1485, 1069, 7035, 1006, 4953, 1005, 31600, 1026, 19959, 1467, 28162, 5063, 1158, 8503, 3209, 14115, 5003, 1797, 1017, 6364, 6002, 32, 12698, 24046, 1343, 16563, 11368, 1447, 71, 1779, 2443, 13201, 1054, 3149, 6174, 6433, 8436, 19220, 1009, 2992, 1006, 3149, 9610, 1094, 6841, 1009, 1307, 2414, 7089, 1463, 6433, 33, 1365, 1124, 3510, 7332, 1184, 29746, 1826, 1006, 30296, 1574, 28347, 5343, 1071, 8221, 2525, 16785, 1349, 27597, 17868, 6101, 9395, 1005, 1006, 1073, 1418, 1909, 1252, 1071, 8221, 2081, 14441, 1308, 7394, 1331, 1010, 1158, 8503, 3209, 2322, 24987, 3528, 2360, 4600, 1068, 2999, 7822, 10282, 5030, 3551, 3882, 1265, 1298, 5392, 1118, 24585, 28, 1910, 4073, 5392, 1060, 6647, 1049, 2017, 10644, 20131, 4214, 13429, 1463, 4034, 6880, 1009, 5641, 1009, 7707, 24804, 1068, 1783, 1043, 10673, 33, 4600, 2155, 1495, 1531, 1422, 1009, 3370, 1759, 10146, 23636, 1158, 8503, 3209, 14248, 3989, 3576, 28794, 1093, 12955, 57, 4277, 2252, 1569, 3505, 90, 8864, 24637, 1114, 9418, 1759, 1171, 152, 23037, 1049, 27186, 6698, 1006, 21708, 1040, 2672, 14069, 29671, 12955, 57, 33, 6522, 2155, 1068, 1026, 18567, 31314, 1005, 1026, 5152, 3130, 26, 14748, 1100, 1009, 9377, 19741, 33, 4410, 5090, 1054, 2824, 1782, 2567, 31, 3949, 3576, 75, 6205, 1158, 8503, 3209, 26901, 6259, 1797, 28845, 1381, 1144, 1398, 1056, 6394, 4526, 1043, 1083, 0, 5496, 17124, 1006, 1044, 1901, 1691, 1085, 3340, 1060, 4214, 1693, 1178, 27710, 1054, 1495, 8060, 3742, 16188, 1309, 1043, 1083, 0, 8545, 1847, 14779, 1998, 17124, 1006, 14219, 3952, 1797, 3834, 71, 1009, 20834, 2192, 1578, 8503, 3209, 14115, 8037, 1467, 6922, 1060, 6647, 1060, 29633, 11532, 79, 1123, 30, 11947, 1225, 15842, 1009, 2540, 1072, 1561, 3528, 7962, 1167, 1694, 1837, 1657, 1094, 3757, 1072, 6402, 4214, 9755, 14788, 2252, 1124, 6048, 25964, 1072, 1908, 1049, 1111, 1292, 1074, 15288, 1043, 5152, 1205, 1839, 1009, 1675, 1839, 19741, 1005, 28735, 1054, 2824, 29123, 9557, 1383, 17500, 1578, 8503, 3209, 14115, 3487, 3528, 2819, 1273, 4410, 6571, 1049, 3278, 1035, 1049, 2725, 29252, 1325, 1184, 1050, 3912, 25937, 1048, 1026, 1060, 21913, 1797, 2961, 1856, 1060, 6871, 8185, 9225, 1068, 1026, 4461, 1009, 17629, 1463, 30791, 1009, 25591, 9592, 4927, 10772, 1005, 1381, 4600, 3267, 1068, 18687, 1049, 2490, 1049, 12471, 23891, 1072, 1908, 22919, 1076, 7050, 1029, 1578, 8503, 3209, 1984, 28345, 1797, 1208, 92, 31003, 1745, 4852, 2935, 1114, 10314, 1009, 1764, 19909, 1049, 2709, 1998, 1043, 1083, 0, 13622, 10222, 1021, 1874, 1225, 30679, 15135, 1009, 3227, 1068, 1026, 2017, 12523, 33, 2935, 1009, 7471, 2177, 26006, 1072, 2017, 2561, 3084, 1014, 1005, 1006, 8766, 4054, 150, 1043, 2935, 1009, 23541, 1005, 1376, 2139, 1009, 8268, 2650, 1691, 24242, 1009, 16373, 2523, 8503, 3209, 15433, 5871, 19287, 7941, 1009, 2824, 1422, 3949, 1910, 1060, 18412, 61, 7032, 1213, 1561, 1043, 16249, 1566, 16533, 1069, 3528, 2191, 1006, 7967, 1049, 2017, 10644, 20131, 4214, 9755, 14788, 2252, 1124, 1158, 6048, 1060, 3069, 2127, 1049, 7522, 152, 1082, 25, 3949, 79, 2311, 42, 11941, 1324, 1043, 8423, 22877, 1609, 1005, 5152, 1205, 28, 1009, 1307, 4969, 19741, 3008, 2448, 1049, 9591, 8260, 8503, 3209, 1204, 5207, 8018, 16017, 1006, 27677, 1060, 6521, 1043, 8877, 15361, 2057, 1930, 5548, 1060, 1344, 14000, 45, 1561, 8539, 4522, 1343, 8755, 1048, 1006, 16788, 23540, 6388, 150, 3182, 1072, 6110, 6165, 1330, 3931, 1576, 158, 1072, 2019, 1047, 8260, 8503, 3209, 14098, 2830, 1797, 1220, 7608, 1403, 2698, 1026, 12271, 1271, 16594, 1322, 7041, 20400, 1072, 1561, 3008, 5002, 1060, 1344, 14000, 45, 1072, 1561, 5662, 7871, 25492, 1187, 20400, 1044, 6224, 1167, 1068, 20001, 1049, 2550, 1072, 1908, 3008, 2448, 1049, 9591, 8260, 8503, 3209, 14248, 8037, 1691, 1193, 1777, 23540, 6388, 150, 3182, 1072, 6110, 6165, 1330, 14800, 13429, 5548, 1060, 1344, 14000, 45, 3141, 8179, 15361, 2057, 1024, 5662, 5310, 1159, 1249, 8015, 1005, 8755, 1048, 10776, 5608, 1945, 7471, 6163, 1054, 2500, 5518, 1009, 18007, 3957, 1054, 16376, 1271, 5729, 4408, 15594, 1467, 11862, 2583, 9842, 8503, 3209, 14098, 3665, 1940, 1517, 8798, 2868, 1068, 22916, 1990, 16301, 3883, 1220, 7608, 1009, 7041, 20113, 1026, 12884, 1060, 10297, 18, 9089, 1045, 1047, 23402, 1024, 20555, 1026, 15929, 1048, 2480, 1945, 1072, 3878, 3156, 1945, 2824, 2224, 31, 1005, 4564, 4291, 1178, 3330, 1054, 7471, 1060, 4214, 3008, 2448, 1049, 9591, 9842, 8503, 3209, 14248, 6259, 5, 13, 132, 5500, 1065, 1707, 4347, 1322, 5503, 1625, 1239, 2357, 2820, 1919, 12884, 1060, 10297, 3141, 1185, 1045, 1047, 23402, 22600, 9847, 18, 10204, 12388, 1118, 1094, 2360, 2618, 1009, 6939, 1068, 6941, 14623, 1691, 30724, 10535, 8503, 3209, 14098, 2337, 1576, 1182, 1362, 4815, 12797, 8944, 1048, 26157, 3647, 150, 11226, 7, 1005, 14074, 1054, 2618, 1072, 1561, 4093, 2285, 9926, 2507, 1069, 1009, 7707, 1294, 4679, 2864, 5834, 20707, 5736, 1236, 1072, 3099, 1118, 2612, 1060, 6647, 1049, 2017, 12523, 33, 10123, 1187, 12903, 60, 89, 1976, 10596, 1054, 4863, 6187, 3008, 2448, 1049, 9591, 10535, 8503, 3209, 14248, 5963, 6170, 1037, 4916, 24046, 1525, 11720, 1009, 29024, 1009, 2824, 4110, 1080, 1803, 5649, 15819, 1060, 26157, 6468, 1046, 1605, 2670, 1060, 31182, 20915, 1068, 1006, 3836, 25615, 21637, 4815, 1067, 1803, 1195, 1026, 12899, 1060, 12464, 1049, 9591, 2429, 9307, 33, 17777, 2088, 1187, 20415, 1049, 7842, 19, 14113, 1043, 1026, 10470, 1691, 30724, 10923, 8503, 3209, 16473, 2830, 3008, 2448, 1049, 9591, 32, 11955 ]

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

[ 13235, 1317, 1402, 1005, 1033, 1414, 3280, 1467, 2838, 2189, 8149, 4510, 3209, 2322, 24987, 2324, 3376, 28160, 31003, 2561, 3084, 1014, 1054, 4902, 1759, 10146, 17104, 18218, 1006, 3069, 7835, 1009, 2618, 1049, 2017, 12903, 60, 2561, 3084, 1870, 1060, 28160, 31003, 18, 1048, 1325, 1009, 2922, 1213, 2666, 1005, 1751, 1043, 2289, 1068, 6544, 1009, 1456, 19483, 3008, 14574, 3727, 7099, 3209, 15433, 1442, 2324, 5992, 30296, 1809, 1713, 1566, 1325, 1365, 3230, 33, 2550, 7032, 1726, 7943, 1006, 2323, 1009, 2824, 1675, 2308, 27, 4332, 1605, 1184, 2512, 4711, 1060, 1134, 7521, 1054, 7434, 1006, 1008, 1145, 1292, 1809, 1713, 7032, 1726, 4268, 1009, 2220, 1908, 33, 4986, 1699, 23772, 1225, 4410, 1006, 2323, 1009, 2824, 1675, 2308, 27, 4332, 1005, 1006, 4727, 1126, 1009, 2824, 1779, 2567, 3990, 22, 3008, 14574, 2971, 7099, 3209, 2128, 23273, 1576, 20659, 12903, 60, 3577, 1606, 159, 1049, 11257, 1205, 61, 1144, 1070, 1093, 7032, 1726, 7943, 1006, 2323, 1009, 2824, 1799, 2639, 30, 4332, 1576, 20659, 12903, 60, 3577, 1606, 159, 1049, 3099, 4011, 1195, 3941, 3068, 9707, 15883, 15, 1005, 4597, 2156, 7707, 1009, 18567, 33, 1006, 7835, 1009, 2618, 5392, 150, 1118, 2824, 1844, 3218, 4059, 22, 3008, 14574, 2978, 7099, 3209, 1984, 22947, 1940, 7521, 10920, 1006, 3047, 1809, 1713, 2861, 3662, 3069, 1043, 1712, 4008, 1009, 7747, 1060, 4783, 1576, 1145, 1292, 24858, 1076, 1060, 30296, 4597, 2156, 3918, 1009, 30306, 32, 1006, 31382, 2861, 3662, 1043, 2156, 5584, 1273, 1005, 1006, 30306, 4727, 1126, 1043, 2125, 3918, 1009, 18567, 33, 6022, 1620, 1160, 1596, 24034, 1691, 1500, 7332, 3295, 7099, 3209, 14115, 1442, 2324, 1398, 1056, 14779, 17402, 1009, 12849, 1009, 5453, 1068, 13898, 1130, 1307, 7560, 6044, 1072, 2293, 1797, 1671, 8496, 75, 1006, 14545, 18231, 1049, 6980, 1009, 6044, 1054, 3064, 6885, 18, 1048, 1516, 1009, 4004, 9238, 18635, 33, 10314, 2817, 1132, 5834, 1570, 22878, 14548, 71, 1005, 1344, 3123, 1678, 1048, 3156, 1046, 1365, 2824, 16681, 1910, 1005, 2824, 1782, 2534, 30, 1910, 8422, 22292, 3186, 7099, 3209, 17968, 4673, 3008, 2448, 1049, 9591, 32, 14828, 1166, 1060, 3757, 1327, 23399, 1009, 3510, 7332, 1009, 25513, 1759, 1014, 1027, 14828, 1166, 19262, 1060, 1205, 61, 1983, 1407, 5247, 1156, 1167, 3426, 22781, 4314, 12666, 1005, 4419, 3420, 3008, 14574, 2128, 7099, 3209, 14115, 3487, 1576, 17118, 1060, 1134, 7521, 6468, 1046, 27635, 4449, 28607, 1060, 2360, 30296, 1809, 1713, 33, 17777, 5168, 2035, 1060, 1008, 1145, 1292, 24858, 1076, 1325, 1006, 2220, 17503, 1072, 27186, 13498, 1252, 1343, 1009, 1106, 13506, 33, 22189, 1118, 23843, 2550, 4537, 150, 1726, 21019, 2012, 1620, 3057, 3681, 33, 6022, 3775, 24034, 1072, 1531, 3727, 1797, 28845, 10923, 7099, 3209, 12150, 1442, 5640, 5891, 1596, 24034, 3068, 9137, 29844, 1357, 2376, 3039, 1167, 1126, 8621, 1048, 5759, 1124, 3510, 7332, 30752, 1072, 1561, 1940, 1017, 1231, 19, 31545, 3039, 10916, 7099, 3209, 14098, 2337, 1797, 1220, 7608, 32, 3064, 2235, 2650, 1376, 1396, 1166, 1357, 1134, 7521, 1963, 4433, 10034, 1054, 17655, 1072, 1561, 30110, 13028, 2916, 1009, 4110, 6044, 1060, 30296, 1574, 28347, 5343, 2643, 1666, 1069, 1114, 6389, 5473, 6486, 33, 1054, 1106, 18209, 7590, 1060, 1106, 4096, 1034, 1566, 3661, 1984, 15250, 13712, 2502, 1357, 1134, 7521, 1467, 28162, 5063, 10479, 7099, 3209, 14098, 2830, 3564, 4335, 27597, 22669, 2618, 1009, 6939, 1009, 1487, 6616, 1009, 11556, 1114, 4590, 9531, 175, 6197, 3904, 2250, 1846, 1009, 4557, 2440, 1261, 9491, 1188, 6616, 1009, 11556, 1068, 10075, 5660, 20981, 4136, 1049, 1908, 3008, 14574, 9801, 7099, 3209, 14098, 2704, 3141, 1095, 1104, 1140, 9801, 7099, 3209, 11425, 1442, 22919, 5840, 93, 20915, 1745, 4852, 2935, 1054, 1764, 15397, 1043, 4004, 9238, 6044, 1005, 13622, 3872, 3528, 20833, 1033, 1829, 1079, 8880, 1068, 23852, 1060, 3364, 1187, 6044, 6416, 1166, 2365, 2595, 8503, 3209, 1204, 23273, 3008, 14574, 3771, 8503, 3209, 15433, 2708, 1940, 75, 1177, 1322, 1006, 2921, 5732, 1049, 2689, 1100, 28607, 23722, 6434, 17801, 15288, 1060, 4214, 9755, 7032, 1726, 7943, 1054, 9812, 1009, 3370, 33, 6022, 1005, 7707, 1160, 1596, 8430, 1166, 1357, 26157, 1759, 71, 2757, 1068, 6647, 3771, 8503, 3209, 1984, 24383, 3576, 8081, 1049, 2446, 1538, 5982, 1609, 1043, 2208, 1066, 13, 21020, 1043, 3722, 3225, 1726, 7943, 1009, 6163, 4093, 1026, 21834, 1005, 1124, 1057, 9954, 1009, 10511, 4560, 2370, 1356, 2017, 10644, 20131, 1566, 1225, 4614, 10045, 1157, 1026, 4526, 2017, 1118, 1044, 1184, 7836, 1068, 4305, 1006, 5267, 1054, 3453, 29564, 18906, 3771, 8503, 3209, 14248, 4368, 1691, 1676, 1034, 1187, 16596, 1573, 1160, 1836, 17701, 1068, 1124, 6433, 6563, 2565, 13658, 1134, 1937, 2483, 1576, 17118, 1060, 1134, 1937, 20690, 4790, 8645, 1187, 11815, 8755, 1048, 1986, 1006, 7967, 1049, 2017, 12523, 6746, 1271, 6433, 1009, 7471, 6163, 1005, 1305, 1021, 20132, 2177, 5560, 4889, 3008, 2448, 1049, 9591, 3771, 8503, 3209, 14248, 4059, 4093, 1026, 10644, 20131, 5641, 1009, 7041, 6163, 1005, 1305, 1021, 20132, 11368, 1051, 2865, 21100, 1054, 6130, 6170, 82, 8645, 1187, 11815, 2670, 1060, 1134, 1937, 20690, 1195, 1026, 12899, 1060, 12464, 1049, 9591, 2429, 9707, 20392, 3929, 17777, 2088, 1187, 20415, 1049, 7842, 19, 14113, 1043, 1026, 10470, 3008, 2448, 1049, 9591, 3734, 8503, 3209, 14248, 5871, 1576, 1024, 28263, 3734, 8503, 3209, 2322, 27778, 3141, 24668, 24864, 1006, 23146, 4965, 1060, 1144, 1398, 1056, 1072, 1561, 12852, 1506, 13063, 1187, 5834, 12772, 1356, 2417, 1495, 1158, 3413, 3775, 7742, 1054, 3957, 33, 1752, 1094, 8545, 5544, 23146, 1054, 1094, 2413, 1049, 1784, 1691, 30724, 3734, 8503, 3209, 2523, 29435, 19287, 72, 1122, 2592, 5272, 71, 1114, 5641, 1009, 1305, 1021, 20132, 1890, 1006, 7967, 1060, 10049, 1691, 1676, 14919, 1222, 6750, 1009, 7041, 1305, 1021, 20132, 1049, 11169, 2451, 1049, 5549, 1868, 21160, 1225, 19035, 1026, 3159, 1868, 72, 1122, 1054, 2968, 1126, 5883, 4889, 1005, 7072, 4456, 8003, 1009, 5496, 1383, 17500, 3727, 8503, 3209, 14098, 2721, 1940, 1088, 1707, 3727, 8503, 3209, 2322, 24781, 3008, 2448, 1049, 9591, 3727, 8503, 3209, 14248, 5963, 6593, 2260, 2971, 8503, 3209, 16473, 2337, 4093, 4728, 1054, 31232, 27597, 1225, 4409, 1455, 2139, 1072, 1561, 1691, 1500, 3013, 20288, 14566, 1048, 1298, 7556, 4169, 1118, 1734, 10420, 1467, 28162, 5063, 2971, 8503, 3209, 2182, 5207, 3008, 2448, 1049, 9591, 2971, 8503, 3209, 14098, 3452, 1759, 7870, 24046, 1343, 1225, 2848, 3952, 1009, 16249, 1005, 13320, 8976, 1494, 4607, 1060, 2042, 3008, 2448, 1049, 9591, 2971, 8503, 3209, 2322, 28064, 20862, 92, 1105, 1069, 3987, 15600, 6891, 4243, 22534, 4979, 1048, 1026, 4898, 7035, 2916, 1009, 20169, 1049, 26867, 1005, 1048, 1026, 12523, 21207, 1945, 2693, 1006, 11228, 1009, 5407, 1383, 1012, 1436, 1009, 26457, 28019, 1049, 4898, 1060, 5660, 1271, 2848, 1005, 1271, 2156, 16641, 19900, 1009, 30077, 1114, 4958, 3757, 27419, 1078, 1076, 3186, 8503, 3209, 12150, 6259, 1797, 9063, 1081, 1243, 1481, 23270, 26097, 1009, 2824, 3646, 30, 9557, 1068, 1058, 15477, 1024, 1049, 3759, 7941, 19032, 1178, 12215, 1188, 1118, 1261, 1058, 9813, 1069, 1213, 4305, 1044, 20386, 3778, 1060, 9320, 12652, 19362, 1331, 1485, 1069, 7035, 1006, 4953, 1005, 31600, 1026, 19959, 1467, 28162, 5063, 1158, 8503, 3209, 14115, 5003, 1797, 1017, 6364, 6002, 32, 12698, 24046, 1343, 16563, 11368, 1447, 71, 1779, 2443, 13201, 1054, 3149, 6174, 6433, 8436, 19220, 1009, 2992, 1006, 3149, 9610, 1094, 6841, 1009, 1307, 2414, 7089, 1463, 6433, 33, 1365, 1124, 3510, 7332, 1184, 29746, 1826, 1006, 30296, 1574, 28347, 5343, 1071, 8221, 2525, 16785, 1349, 27597, 17868, 6101, 9395, 1005, 1006, 1073, 1418, 1909, 1252, 1071, 8221, 2081, 14441, 1308, 7394, 1331, 1010, 1158, 8503, 3209, 2322, 24987, 3528, 2360, 4600, 1068, 2999, 7822, 10282, 5030, 3551, 3882, 1265, 1298, 5392, 1118, 24585, 28, 1910, 4073, 5392, 1060, 6647, 1049, 2017, 10644, 20131, 4214, 13429, 1463, 4034, 6880, 1009, 5641, 1009, 7707, 24804, 1068, 1783, 1043, 10673, 33, 4600, 2155, 1495, 1531, 1422, 1009, 3370, 1759, 10146, 23636, 1158, 8503, 3209, 14248, 3989, 3576, 28794, 1093, 12955, 57, 4277, 2252, 1569, 3505, 90, 8864, 24637, 1114, 9418, 1759, 1171, 152, 23037, 1049, 27186, 6698, 1006, 21708, 1040, 2672, 14069, 29671, 12955, 57, 33, 6522, 2155, 1068, 1026, 18567, 31314, 1005, 1026, 5152, 3130, 26, 14748, 1100, 1009, 9377, 19741, 33, 4410, 5090, 1054, 2824, 1782, 2567, 31, 3949, 3576, 75, 6205, 1158, 8503, 3209, 26901, 6259, 1797, 28845, 1381, 1144, 1398, 1056, 6394, 4526, 1043, 1083, 0, 5496, 17124, 1006, 1044, 1901, 1691, 1085, 3340, 1060, 4214, 1693, 1178, 27710, 1054, 1495, 8060, 3742, 16188, 1309, 1043, 1083, 0, 8545, 1847, 14779, 1998, 17124, 1006, 14219, 3952, 1797, 3834, 71, 1009, 20834, 2192, 1578, 8503, 3209, 14115, 8037, 1467, 6922, 1060, 6647, 1060, 29633, 11532, 79, 1123, 30, 11947, 1225, 15842, 1009, 2540, 1072, 1561, 3528, 7962, 1167, 1694, 1837, 1657, 1094, 3757, 1072, 6402, 4214, 9755, 14788, 2252, 1124, 6048, 25964, 1072, 1908, 1049, 1111, 1292, 1074, 15288, 1043, 5152, 1205, 1839, 1009, 1675, 1839, 19741, 1005, 28735, 1054, 2824, 29123, 9557, 1383, 17500, 1578, 8503, 3209, 14115, 3487, 3528, 2819, 1273, 4410, 6571, 1049, 3278, 1035, 1049, 2725, 29252, 1325, 1184, 1050, 3912, 25937, 1048, 1026, 1060, 21913, 1797, 2961, 1856, 1060, 6871, 8185, 9225, 1068, 1026, 4461, 1009, 17629, 1463, 30791, 1009, 25591, 9592, 4927, 10772, 1005, 1381, 4600, 3267, 1068, 18687, 1049, 2490, 1049, 12471, 23891, 1072, 1908, 22919, 1076, 7050, 1029, 1578, 8503, 3209, 1984, 28345, 1797, 1208, 92, 31003, 1745, 4852, 2935, 1114, 10314, 1009, 1764, 19909, 1049, 2709, 1998, 1043, 1083, 0, 13622, 10222, 1021, 1874, 1225, 30679, 15135, 1009, 3227, 1068, 1026, 2017, 12523, 33, 2935, 1009, 7471, 2177, 26006, 1072, 2017, 2561, 3084, 1014, 1005, 1006, 8766, 4054, 150, 1043, 2935, 1009, 23541, 1005, 1376, 2139, 1009, 8268, 2650, 1691, 24242, 1009, 16373, 2523, 8503, 3209, 15433, 5871, 19287, 7941, 1009, 2824, 1422, 3949, 1910, 1060, 18412, 61, 7032, 1213, 1561, 1043, 16249, 1566, 16533, 1069, 3528, 2191, 1006, 7967, 1049, 2017, 10644, 20131, 4214, 9755, 14788, 2252, 1124, 1158, 6048, 1060, 3069, 2127, 1049, 7522, 152, 1082, 25, 3949, 79, 2311, 42, 11941, 1324, 1043, 8423, 22877, 1609, 1005, 5152, 1205, 28, 1009, 1307, 4969, 19741, 3008, 2448, 1049, 9591, 8260, 8503, 3209, 1204, 5207, 8018, 16017, 1006, 27677, 1060, 6521, 1043, 8877, 15361, 2057, 1930, 5548, 1060, 1344, 14000, 45, 1561, 8539, 4522, 1343, 8755, 1048, 1006, 16788, 23540, 6388, 150, 3182, 1072, 6110, 6165, 1330, 3931, 1576, 158, 1072, 2019, 1047, 8260, 8503, 3209, 14098, 2830, 1797, 1220, 7608, 1403, 2698, 1026, 12271, 1271, 16594, 1322, 7041, 20400, 1072, 1561, 3008, 5002, 1060, 1344, 14000, 45, 1072, 1561, 5662, 7871, 25492, 1187, 20400, 1044, 6224, 1167, 1068, 20001, 1049, 2550, 1072, 1908, 3008, 2448, 1049, 9591, 8260, 8503, 3209, 14248, 8037, 1691, 1193, 1777, 23540, 6388, 150, 3182, 1072, 6110, 6165, 1330, 14800, 13429, 5548, 1060, 1344, 14000, 45, 3141, 8179, 15361, 2057, 1024, 5662, 5310, 1159, 1249, 8015, 1005, 8755, 1048, 10776, 5608, 1945, 7471, 6163, 1054, 2500, 5518, 1009, 18007, 3957, 1054, 16376, 1271, 5729, 4408, 15594, 1467, 11862, 2583, 9842, 8503, 3209, 14098, 3665, 1940, 1517, 8798, 2868, 1068, 22916, 1990, 16301, 3883, 1220, 7608, 1009, 7041, 20113, 1026, 12884, 1060, 10297, 18, 9089, 1045, 1047, 23402, 1024, 20555, 1026, 15929, 1048, 2480, 1945, 1072, 3878, 3156, 1945, 2824, 2224, 31, 1005, 4564, 4291, 1178, 3330, 1054, 7471, 1060, 4214, 3008, 2448, 1049, 9591, 9842, 8503, 3209, 14248, 6259, 5, 13, 132, 5500, 1065, 1707, 4347, 1322, 5503, 1625, 1239, 2357, 2820, 1919, 12884, 1060, 10297, 3141, 1185, 1045, 1047, 23402, 22600, 9847, 18, 10204, 12388, 1118, 1094, 2360, 2618, 1009, 6939, 1068, 6941, 14623, 1691, 30724, 10535, 8503, 3209, 14098, 2337, 1576, 1182, 1362, 4815, 12797, 8944, 1048, 26157, 3647, 150, 11226, 7, 1005, 14074, 1054, 2618, 1072, 1561, 4093, 2285, 9926, 2507, 1069, 1009, 7707, 1294, 4679, 2864, 5834, 20707, 5736, 1236, 1072, 3099, 1118, 2612, 1060, 6647, 1049, 2017, 12523, 33, 10123, 1187, 12903, 60, 89, 1976, 10596, 1054, 4863, 6187, 3008, 2448, 1049, 9591, 10535, 8503, 3209, 14248, 5963, 6170, 1037, 4916, 24046, 1525, 11720, 1009, 29024, 1009, 2824, 4110, 1080, 1803, 5649, 15819, 1060, 26157, 6468, 1046, 1605, 2670, 1060, 31182, 20915, 1068, 1006, 3836, 25615, 21637, 4815, 1067, 1803, 1195, 1026, 12899, 1060, 12464, 1049, 9591, 2429, 9307, 33, 17777, 2088, 1187, 20415, 1049, 7842, 19, 14113, 1043, 1026, 10470, 1691, 30724, 10923, 8503, 3209, 16473, 2830, 3008, 2448, 1049, 9591, 32, 11955 ]

[ 1091, 1049, 4489, 30012, 79, 2521, 1043, 1048, 2916, 1009, 18520, 1910, 1783, 1048, 24381, 1213, 2729, 1049, 4489, 6801, 19815, 1060, 12873, 7630, 6082, 3241, 1025, 2641, 2647, 1124, 17061, 1452, 2261, 1412, 2916, 1009, 1158, 26, 2744, 1009, 9697, 1054, 8016, 1005, 12177, 96, 1229, 1044, 1187, 13105, 1074, 7959, 1184, 29635, 1495, 2276, 1114, 2042, 9692, 3942, 2738, 1060, 3832, 1009, 21984, 1026, 30012, 79, 1195, 4217, 1250, 16164, 1357, 3279, 1551, 2181, 1627, 1048, 12860, 1006, 29348, 1009, 4306, 16539, 7958, 1005, 14767, 2255, 21834, 1005, 7081, 13108, 1303, 1009, 20696, 12111, 1138, 2956, 14386, 1379, 8264, 1044, 2868, 3509, 7214, 1662, 1253, 2638, 1789, 1326, 2140, 18067, 10839, 2461, 4045, 1029, 2918, 1157, 14743, 1424, 16413, 1349, 1068, 18655, 1712, 2460, 2484, 1060, 5337, 1005, 11778, 1224, 12345, 1054, 2869, 1233, 11239, 18, 1048, 1620, 1516, 1006, 1712, 4633, 1009, 7562, 1049, 18529, 1138, 15695, 23529, 2408, 1043, 1006, 7621, 1009, 16312, 1009, 12050, 1054, 16718, 1005, 1054, 24053, 2521, 1043, 1048, 1006, 5337, 1049, 2956, 1058, 4192, 5478, 1054, 1807, 1751, 1566, 1118, 2922, 1009, 24053, 3027, 29360, 1006, 18655, 1094, 1712, 14786, 2983, 20, 1776, 1901, 7715, 1132, 2138, 2365, 15666, 1114, 6074, 3578, 12126, 1005, 1026, 30012, 79, 3475, 1006, 14786, 6160, 1371, 6154, 20, 6232, 4758, 6895, 1986, 1026, 2822, 1060, 12487, 1054, 16535, 27183, 4368, 1175, 4115, 1334, 9227, 3367, 10750, 30549, 1124, 6535, 1009, 4843, 1049, 30012, 79, 2829, 3919, 2300, 5010, 7509, 4183, 1006, 22668, 10702, 1187, 2138, 2365, 19346, 1006, 3960, 77, 16685, 1009, 2252, 1124, 6535, 1009, 4843, 1054, 1294, 2138, 1571, 1006, 3919, 16685, 1365, 17604, 1005, 15347, 2039, 2275, 1138, 2568, 1009, 10700, 26042, 1463, 6296, 1049, 2956, 1195, 1493, 19130, 1005, 7050, 1672, 1005, 1044, 1187, 1184, 3746, 1361, 1049, 7751, 1482, 26614, 2156, 1783, 16109, 1054, 1044, 2556, 1053, 20726, 1511, 6669, 1082, 1281, 1037, 3664, 5749, 1026, 1831, 14871, 1006, 1178, 9838, 1188, 1114, 2828, 1009, 30012, 3158, 1482, 24029, 2125, 3948, 1049, 12819, 1187, 11837, 22432, 1020, 1048, 7548, 1648, 1006, 1427, 2189, 11292, 1009, 15347, 1072, 2956, 1596, 8439, 3983, 3126, 4564, 3057, 1901, 1048, 1124, 6316, 6296, 8317, 1049, 2956, 8651, 3168, 12803, 2256, 1646, 1986, 1006, 4272, 1060, 22668, 10702, 20, 1482, 24724, 3593, 1751, 1271, 6296, 1049, 2956, 1620, 1836, 3919, 2300, 1140, 33, 1006, 22668, 10702, 18, 3027, 5077, 1668, 2568, 1159, 19130, 1005, 26705, 4001, 1072, 30012, 1803, 19346, 1006, 21828, 3960, 77, 16685, 15400, 23267, 1026, 1048, 5687, 1054, 3049, 1049, 1592, 1901, 16574, 1060, 14786, 2983, 14815, 1236, 1890, 1005, 1986, 1006, 6074, 3578, 12126, 1006, 5660, 1009, 30970, 1921, 1049, 30012, 79, 1620, 1516, 1493, 8511, 1126, 1005, 1026, 2956, 1620, 1516, 1493, 24078, 1060, 30013, 91, 14077, 12010, 6709, 1686, 1154, 2255, 1118, 1224, 5326, 8097, 13981, 22876, 1043, 1006, 11184, 7343, 1990, 1463, 20696, 1273, 1048, 25944, 1006, 9183, 1118, 4786, 1009, 3733, 1072, 4898, 30013, 7553, 20, 1138, 30012, 79, 7289, 1890, 1124, 9683, 1009, 11436, 1005, 10321, 4320, 5567, 1068, 3689, 18655, 1712, 14786, 2983, 1049, 18529, 1482, 30549, 6709, 7949, 1006, 1160, 1178, 1184, 26185, 1006, 1744, 4598, 1371, 1679, 16420, 1065, 1554, 1482, 16560, 1026, 30012, 79, 25944, 1004, 10649, 2682, 1132, 11361, 1068, 16539, 20307, 23416, 1072, 18529, 4116, 1852, 1060, 3832, 1009, 16560, 1184, 1783, 6471, 4433, 1072, 4898, 1009, 30970, 1921, 1049, 1048, 1072, 4898, 30013, 7553, 20, 1138, 2568, 1009, 14786, 2983, 1005, 1009, 2460, 2484, 1060, 5337, 5898, 1072, 30012, 79, 1495, 1132, 2250, 9227, 2286, 2128, 1009, 12364, 1026, 1134, 1154, 9401, 1983, 5069, 9529, 1026, 16289, 1049, 30012, 1803, 22422, 2978, 30, 1783, 1005, 10298, 1044, 19203, 1009, 17362, 19842, 1009, 9697, 1114, 12873, 1482, 3939, 1009, 3383, 1009, 9861, 1026, 1134, 1154, 9401, 9685, 8765, 12860, 1094, 12947, 1620, 1712, 1213, 2729, 1187, 24766, 8598, 1009, 16289, 3994, 1213, 17292, 1049, 8114, 2286, 1646, 1494, 4837, 2247, 1060, 14786, 22935, 1026, 30012, 79, 1225, 1371, 27767, 1118, 1235, 26176, 1876, 5098, 1005, 6734, 10016, 18983, 23489, 1482, 12535, 1026, 2956, 11561, 1006, 3649, 1009, 10190, 2972, 4007, 92, 23489, 1063, 2486, 2983, 1009, 5494, 10190, 2972, 12814, 1006, 8596, 10038, 1049, 12694, 5754, 5494, 15383, 1596, 1004, 10649, 2682, 3758, 1402, 1043, 1026, 19466, 9685, 88, 3097, 1048, 31600, 2653, 9147, 10190, 2972, 4007, 92, 23489, 27098, 1048, 29864, 10190, 2972, 1159, 1094, 4633, 17897, 1009, 7562, 5241, 26661, 76, 1520, 1005, 1106, 2253, 94, 1803, 1072, 16289, 1049, 2956, 1072, 17292, 1049, 14854, 1005, 1128, 1647, 1126, 11279, 17149, 1205, 3123, 20163, 1005, 8380, 8998, 14370, 10077, 1049, 1134, 1154, 9401, 9685, 88, 3097, 1026, 30012, 79, 14136, 1006, 2750, 1712, 5660, 1009, 10190, 2972, 1049, 6402, 5626, 4564, 1009, 9031, 2166, 1005, 1233, 3349, 1060, 3047, 1180, 16156, 10277, 3027, 2281, 9793, 1140, 1357, 3808, 1986, 1026, 19466, 2286, 2128, 1009, 3268, 1009, 9861, 1026, 6615, 4206, 4190, 7597, 2356, 12132, 1094, 3940, 1048, 4279, 1006, 22321, 1009, 10190, 2972, 1054, 3548, 1294, 28861, 1009, 6757, 1066, 3084, 1005, 16380, 3529, 2271, 1048, 1160, 10080, 17643, 1184, 1009, 14558, 4722, 1049, 16289, 1175, 1847, 1048, 1072, 8210, 1009, 16380, 3529, 5494, 10190, 2972, 1693, 1178, 17110, 1213, 2729, 1060, 11121, 5936, 24585, 1094, 16950, 6007, 10521, 7177, 30012, 79, 2282, 20855, 1213, 3184, 1043, 1026, 23225, 1324, 1006, 8100, 1043, 1026, 24154, 13174, 1213, 3821, 1043, 1026, 17292, 1049, 14854, 1005, 1006, 8223, 1043, 1006, 9573, 2860, 1005, 1026, 1594, 15874, 2986, 5339, 1044, 2574, 1184, 1009, 23129, 1910, 8598, 3516, 13385, 1096, 1026, 8111, 0, 1712, 2497, 5414, 1054, 2236, 1049, 7751, 1138, 16289, 1049, 30012, 79, 3134, 24766, 8598, 1009, 7614, 1213, 2729, 1049, 17292, 1049, 29522, 2778, 8348, 2252, 1124, 5852, 7581, 1312, 1356, 1449, 1175, 3178, 162, 1273, 1090, 15216, 1005, 11723, 9720, 19135, 1175, 1668, 2285, 1963, 1076, 1068, 1487, 5988, 8598, 20, 1138, 16289, 1049, 11169, 1118, 1178, 1493, 4367, 1005, 1009, 6167, 11332, 18, 1096, 1493, 17575, 1629, 1006, 16267, 1009, 1449, 5280, 26549, 16428, 1005, 1734, 6863, 19480, 8834, 1048, 6326, 20957, 1044, 4465, 1049, 3319, 1049, 25173, 1505, 5639, 9027, 3056, 2129, 2925, 2913, 2051, 5852, 6845, 1278, 4113, 1312, 10947, 1213, 16289, 20, 1138, 1712, 9147, 2129, 2925, 3134, 4110, 8598, 1009, 7456, 1175, 1026, 1184, 2729, 1049, 4796, 1072, 1908, 1879, 4489, 30012, 79, 1096, 1026, 4489, 1184, 2512, 1049, 11169, 1043, 13612, 2693, 1006, 7858, 8223, 1043, 1026, 1594, 81, 3297, 1273, 1005, 1493, 1060, 7858, 1043, 1006, 9483, 13864, 1138, 4489, 30012, 79, 1624, 72, 6378, 1043, 4805, 10367, 18, 5700, 1569, 12965, 1493, 17575, 2445, 1006, 31935, 20, 2960, 3104, 1184, 6845, 1278, 4113, 1312, 10947, 1213, 4489, 1318, 1327, 6890, 1580, 1118, 2129, 30072, 1063, 19075, 16176, 6858, 1049, 4489, 30012, 79, 14801, 2220, 1026, 8223, 1005, 1026, 3709, 4328, 1671, 1049, 18529, 5011, 13244, 17643, 1114, 2413, 8100, 1049, 30012, 79, 10512, 1097, 1046, 5232, 1072, 17292, 1049, 8114, 3110, 31790, 1016, 2736, 1656, 2916, 1009, 1487, 7089, 1049, 11169, 1048, 29921, 5035, 1118, 1224, 6167, 11332, 20, 10620, 3311, 1049, 2956, 9793, 71, 1006, 11332, 1009, 11774, 4722, 4109, 1049, 3319, 1049, 1449, 1879, 30012, 79, 1298, 1178, 13831, 1054, 2125, 24044, 5852, 19480, 12867, 2083, 2034, 16038, 1300, 2401, 22770, 92, 1654, 2736, 1656, 1094, 23162, 6116, 1009, 3548, 4725, 1213, 2729, 1049, 4489, 30012, 3158, 4378, 2413, 1096, 8183, 1536, 5221, 1043, 1493, 6734, 14508, 19480, 2761, 5345, 2013, 8183, 17575, 1629, 1726, 17061, 1452, 1049, 4489, 20, 23366, 17061, 4837, 4850, 1009, 2261, 3890, 2653, 8016, 1679, 11511, 5657, 9628, 1118, 2143, 2790, 19387, 1046, 3056, 15935, 1009, 7522, 2130, 3068, 10909, 5700, 1026, 7108, 8183, 22577, 5386, 1005, 7322, 1068, 1006, 11239, 1276, 2034, 16038, 1300, 2401, 18141, 1102, 1060, 6285, 1049, 17292, 3842, 1046, 1006, 1712, 1751, 1049, 10711, 1049, 11169, 1847, 1006, 1712, 1271, 2125, 5852, 19480, 2761, 6997, 4378, 2413, 29921, 5035, 1356, 1235, 9659, 9900, 2574, 17387, 1599, 18933, 1009, 3011, 1394, 8478, 1065, 1312, 1005, 6941, 4854, 1209, 1009, 6167, 11332, 18, 1005, 1044, 7108, 9900, 22577, 5386, 20, 1138, 1712, 9147, 4854, 6420, 1026, 31632, 18451, 9396, 1678, 1096, 1026, 3311, 1184, 3910, 1049, 11169, 1043, 1456, 2978, 28, 4722, 1009, 11332, 20, 11841, 1751, 1271, 16038, 1300, 2401, 18141, 1102, 1327, 28660, 1118, 13573, 1276, 1138, 27037, 21885, 20636, 1096, 1094, 23162, 6116, 1009, 3548, 4725, 1114, 2413, 8100, 1049, 30012, 3158, 2013, 1094, 2413, 1009, 1008, 1625, 1024, 4065, 4367, 1005, 1043, 1044, 7108, 11622, 3694, 1054, 8198, 1043, 1026, 10711, 1049, 2956, 2474, 82, 1549, 3705, 30012, 79, 3134, 1044, 8393, 24651, 22391, 1043, 1419, 1121, 16089, 1005, 1039, 4837, 1005, 1762, 15582, 26562, 3942, 29115, 1006, 5789, 22469, 1233, 4375, 1048, 1058, 26393, 1054, 4188, 1213, 3184, 20, 1063, 5789, 4612, 1072, 13380, 1096, 1009, 1799, 117, 17388, 1063, 5789, 4612, 1060, 2413, 3821, 1096, 1009, 1782, 0, 117, 6540, 1005, 1072, 3184, 1009, 1487, 0, 117, 17388, 1776, 5661, 1006, 5789, 14120, 1072, 13380, 1096, 1054, 4612, 1009, 1307, 0, 117, 6540, 1005, 1006, 10058, 1009, 1054, 4612, 1984, 0, 117, 17388, 4115, 1518, 22350, 19244, 1703, 1040, 4331, 1009, 1782, 0, 30938, 1915, 23105, 1063, 5789, 1184, 6167, 1566, 16808, 1072, 30012, 79, 1195, 1009, 1175, 3989, 0, 117, 6540, 16808, 1054, 3258, 1203, 2975, 1054, 2595, 1009, 2992, 1009, 16219, 3942, 22483, 1006, 5789, 4612, 11009, 1233, 4375, 1048, 1058, 26393, 1054, 4188, 1213, 25279, 3702, 1006, 14852, 2374, 14120, 1365, 1094, 2413, 1005, 2924, 1049, 18529, 1063, 5789, 4612, 1072, 8730, 1096, 1009, 3734, 0, 117, 17388, 1063, 5789, 4612, 1060, 2413, 8223, 1049, 2956, 1096, 1009, 3771, 0, 117, 6540, 1005, 1072, 31605, 1009, 3727, 0, 117, 17388, 1776, 5661, 1006, 5789, 14120, 1072, 8730, 1096, 1054, 4612, 1009, 3186, 0, 117, 6540, 1005, 1006, 10058, 1009, 1054, 4612, 9670, 0, 117, 17388, 1063, 5789, 1184, 3596, 1566, 16808, 1195, 1009, 12234, 0, 117, 6540, 1054, 4760, 3351, 11608, 89, 1054, 3939, 1009, 3353, 1009, 13144, 1658, 5405, 1009, 28039, 4612, 10038, 22469, 1233, 4375, 1048, 1058, 26393, 1054, 4188, 1213, 20335, 30425, 1365, 19965, 21068, 1072, 16509, 1049, 2956, 1006, 1184, 1009, 29173, 21068, 23686, 1072, 3821, 20, 5927, 1167, 1096, 1044, 14316, 14174, 1072, 30012, 1803, 19816, 1378, 7016, 1072, 3184, 1049, 18529, 8335, 4606, 1312, 1005, 11878, 1009, 11569, 30703, 1327, 9900, 2229, 1916, 23366, 23452, 9440, 6602, 24514, 2744, 1009, 9697, 1054, 23387, 1118, 1901, 1068, 1026, 4898, 1460, 88, 11676, 1134, 1154, 20948, 1005, 1650, 1166, 1318, 1327, 1094, 13917, 3707, 1072, 2956, 2378, 21375, 4395, 3633, 9015, 1049, 30012, 79, 1195, 20966, 1054, 5614, 3211, 14218, 4052, 1887, 1184, 9814, 1596, 12524, 1312, 1054, 21195, 2525, 1578, 5784, 1005, 1054, 9856, 3537, 26296, 6857, 1233, 9015, 1327, 10623, 1356, 11230, 8488, 9086, 1005, 3634, 1178, 4254, 1312, 1118, 1213, 2444, 1675, 16785, 1049, 10219, 1005, 1060, 4338, 1187, 19407, 1708, 1049, 11169, 1005, 2276, 1118, 1487, 13842, 1206, 1184, 1060, 2779, 11292, 1049, 30012, 1803, 1054, 1044, 4768, 29175, 1063, 2779, 1049, 2956, 1318, 1298, 4694, 31648, 1233, 9015, 2328, 1009, 1094, 10731, 24160, 26296, 6857, 1318, 1693, 1178, 8364, 2328, 1009, 30040, 30778, 18, 1048, 6510, 4305, 1213, 2444, 1006, 9738, 1009, 1675, 16785, 1187, 7533, 1009, 9389, 1124, 31507, 1049, 11230, 21727, 1005, 1487, 13842, 1187, 15525, 1049, 11169, 1054, 1044, 4768, 1077, 1879, 2751, 3092, 1049, 11230, 14751, 1096, 1026, 6615, 20, 1338, 1324, 6892, 1043, 1026, 21125, 6179, 1748, 3858, 1096, 4107, 2309, 15525, 1049, 2956, 1068, 28409, 1009, 1495, 2848, 1646, 1009, 4217, 7863, 18245, 1327, 15956, 1054, 1094, 3687, 7758, 1005, 1160, 6515, 1044, 7166, 1009, 4732, 1009, 18173, 18, 1309, 1160, 1693, 17053, 1791, 28409, 1289, 7425, 1063, 3364, 1187, 7878, 1187, 2625, 23855, 1049, 14751, 1327, 21952, 1356, 1960, 3858, 1043, 22977, 1049, 8488, 9086, 1043, 8559, 1049, 13430, 1079, 30139, 1049, 13488, 1009, 2956, 1005, 1049, 6827, 12748, 15726, 18, 1048, 1327, 15956, 1357, 2779, 1049, 2956, 1068, 28409, 1009, 1495, 2848, 1646, 1009, 9178, 1879, 11230, 21727, 1096, 19427, 1356, 10219, 1005, 1357, 4338, 1187, 19407, 13104, 1138, 10219, 3134, 1044, 3225, 1009, 15870, 28949, 2097, 1006, 4338, 1187, 19407, 1708, 3134, 1044, 3225, 1009, 2224, 24, 3948, 20, 1138, 30012, 79, 1325, 13831, 1054, 15870, 16898, 5867, 4196, 1654, 1005, 2224, 24, 16898, 2821, 23105, 1766, 15525, 1009, 1752, 4657 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1049, 4489, 30012, 79, 2521, 1043, 1048, 2916, 1009, 18520, 1910, 1783, 1048, 24381, 1213, 2729, 1049, 4489, 6801, 19815, 1060, 12873, 7630, 6082, 3241, 1025, 2641, 2647, 1124, 17061, 1452, 2261, 1412, 2916, 1009, 1158, 26, 2744, 1009, 9697, 1054, 8016, 1005, 12177, 96, 1229, 1044, 1187, 13105, 1074, 7959, 1184, 29635, 1495, 2276, 1114, 2042, 9692, 3942, 2738, 1060, 3832, 1009, 21984, 1026, 30012, 79, 1195, 4217, 1250, 16164, 1357, 3279, 1551, 2181, 1627, 1048, 12860, 1006, 29348, 1009, 4306, 16539, 7958, 1005, 14767, 2255, 21834, 1005, 7081, 13108, 1303, 1009, 20696, 12111, 1138, 2956, 14386, 1379, 8264, 1044, 2868, 3509, 7214, 1662, 1253, 2638, 1789, 1326, 2140, 18067, 10839, 2461, 4045, 1029, 2918, 1157, 14743, 1424, 16413, 1349, 1068, 18655, 1712, 2460, 2484, 1060, 5337, 1005, 11778, 1224, 12345, 1054, 2869, 1233, 11239, 18, 1048, 1620, 1516, 1006, 1712, 4633, 1009, 7562, 1049, 18529, 1138, 15695, 23529, 2408, 1043, 1006, 7621, 1009, 16312, 1009, 12050, 1054, 16718, 1005, 1054, 24053, 2521, 1043, 1048, 1006, 5337, 1049, 2956, 1058, 4192, 5478, 1054, 1807, 1751, 1566, 1118, 2922, 1009, 24053, 3027, 29360, 1006, 18655, 1094, 1712, 14786, 2983, 20, 1776, 1901, 7715, 1132, 2138, 2365, 15666, 1114, 6074, 3578, 12126, 1005, 1026, 30012, 79, 3475, 1006, 14786, 6160, 1371, 6154, 20, 6232, 4758, 6895, 1986, 1026, 2822, 1060, 12487, 1054, 16535, 27183, 4368, 1175, 4115, 1334, 9227, 3367, 10750, 30549, 1124, 6535, 1009, 4843, 1049, 30012, 79, 2829, 3919, 2300, 5010, 7509, 4183, 1006, 22668, 10702, 1187, 2138, 2365, 19346, 1006, 3960, 77, 16685, 1009, 2252, 1124, 6535, 1009, 4843, 1054, 1294, 2138, 1571, 1006, 3919, 16685, 1365, 17604, 1005, 15347, 2039, 2275, 1138, 2568, 1009, 10700, 26042, 1463, 6296, 1049, 2956, 1195, 1493, 19130, 1005, 7050, 1672, 1005, 1044, 1187, 1184, 3746, 1361, 1049, 7751, 1482, 26614, 2156, 1783, 16109, 1054, 1044, 2556, 1053, 20726, 1511, 6669, 1082, 1281, 1037, 3664, 5749, 1026, 1831, 14871, 1006, 1178, 9838, 1188, 1114, 2828, 1009, 30012, 3158, 1482, 24029, 2125, 3948, 1049, 12819, 1187, 11837, 22432, 1020, 1048, 7548, 1648, 1006, 1427, 2189, 11292, 1009, 15347, 1072, 2956, 1596, 8439, 3983, 3126, 4564, 3057, 1901, 1048, 1124, 6316, 6296, 8317, 1049, 2956, 8651, 3168, 12803, 2256, 1646, 1986, 1006, 4272, 1060, 22668, 10702, 20, 1482, 24724, 3593, 1751, 1271, 6296, 1049, 2956, 1620, 1836, 3919, 2300, 1140, 33, 1006, 22668, 10702, 18, 3027, 5077, 1668, 2568, 1159, 19130, 1005, 26705, 4001, 1072, 30012, 1803, 19346, 1006, 21828, 3960, 77, 16685, 15400, 23267, 1026, 1048, 5687, 1054, 3049, 1049, 1592, 1901, 16574, 1060, 14786, 2983, 14815, 1236, 1890, 1005, 1986, 1006, 6074, 3578, 12126, 1006, 5660, 1009, 30970, 1921, 1049, 30012, 79, 1620, 1516, 1493, 8511, 1126, 1005, 1026, 2956, 1620, 1516, 1493, 24078, 1060, 30013, 91, 14077, 12010, 6709, 1686, 1154, 2255, 1118, 1224, 5326, 8097, 13981, 22876, 1043, 1006, 11184, 7343, 1990, 1463, 20696, 1273, 1048, 25944, 1006, 9183, 1118, 4786, 1009, 3733, 1072, 4898, 30013, 7553, 20, 1138, 30012, 79, 7289, 1890, 1124, 9683, 1009, 11436, 1005, 10321, 4320, 5567, 1068, 3689, 18655, 1712, 14786, 2983, 1049, 18529, 1482, 30549, 6709, 7949, 1006, 1160, 1178, 1184, 26185, 1006, 1744, 4598, 1371, 1679, 16420, 1065, 1554, 1482, 16560, 1026, 30012, 79, 25944, 1004, 10649, 2682, 1132, 11361, 1068, 16539, 20307, 23416, 1072, 18529, 4116, 1852, 1060, 3832, 1009, 16560, 1184, 1783, 6471, 4433, 1072, 4898, 1009, 30970, 1921, 1049, 1048, 1072, 4898, 30013, 7553, 20, 1138, 2568, 1009, 14786, 2983, 1005, 1009, 2460, 2484, 1060, 5337, 5898, 1072, 30012, 79, 1495, 1132, 2250, 9227, 2286, 2128, 1009, 12364, 1026, 1134, 1154, 9401, 1983, 5069, 9529, 1026, 16289, 1049, 30012, 1803, 22422, 2978, 30, 1783, 1005, 10298, 1044, 19203, 1009, 17362, 19842, 1009, 9697, 1114, 12873, 1482, 3939, 1009, 3383, 1009, 9861, 1026, 1134, 1154, 9401, 9685, 8765, 12860, 1094, 12947, 1620, 1712, 1213, 2729, 1187, 24766, 8598, 1009, 16289, 3994, 1213, 17292, 1049, 8114, 2286, 1646, 1494, 4837, 2247, 1060, 14786, 22935, 1026, 30012, 79, 1225, 1371, 27767, 1118, 1235, 26176, 1876, 5098, 1005, 6734, 10016, 18983, 23489, 1482, 12535, 1026, 2956, 11561, 1006, 3649, 1009, 10190, 2972, 4007, 92, 23489, 1063, 2486, 2983, 1009, 5494, 10190, 2972, 12814, 1006, 8596, 10038, 1049, 12694, 5754, 5494, 15383, 1596, 1004, 10649, 2682, 3758, 1402, 1043, 1026, 19466, 9685, 88, 3097, 1048, 31600, 2653, 9147, 10190, 2972, 4007, 92, 23489, 27098, 1048, 29864, 10190, 2972, 1159, 1094, 4633, 17897, 1009, 7562, 5241, 26661, 76, 1520, 1005, 1106, 2253, 94, 1803, 1072, 16289, 1049, 2956, 1072, 17292, 1049, 14854, 1005, 1128, 1647, 1126, 11279, 17149, 1205, 3123, 20163, 1005, 8380, 8998, 14370, 10077, 1049, 1134, 1154, 9401, 9685, 88, 3097, 1026, 30012, 79, 14136, 1006, 2750, 1712, 5660, 1009, 10190, 2972, 1049, 6402, 5626, 4564, 1009, 9031, 2166, 1005, 1233, 3349, 1060, 3047, 1180, 16156, 10277, 3027, 2281, 9793, 1140, 1357, 3808, 1986, 1026, 19466, 2286, 2128, 1009, 3268, 1009, 9861, 1026, 6615, 4206, 4190, 7597, 2356, 12132, 1094, 3940, 1048, 4279, 1006, 22321, 1009, 10190, 2972, 1054, 3548, 1294, 28861, 1009, 6757, 1066, 3084, 1005, 16380, 3529, 2271, 1048, 1160, 10080, 17643, 1184, 1009, 14558, 4722, 1049, 16289, 1175, 1847, 1048, 1072, 8210, 1009, 16380, 3529, 5494, 10190, 2972, 1693, 1178, 17110, 1213, 2729, 1060, 11121, 5936, 24585, 1094, 16950, 6007, 10521, 7177, 30012, 79, 2282, 20855, 1213, 3184, 1043, 1026, 23225, 1324, 1006, 8100, 1043, 1026, 24154, 13174, 1213, 3821, 1043, 1026, 17292, 1049, 14854, 1005, 1006, 8223, 1043, 1006, 9573, 2860, 1005, 1026, 1594, 15874, 2986, 5339, 1044, 2574, 1184, 1009, 23129, 1910, 8598, 3516, 13385, 1096, 1026, 8111, 0, 1712, 2497, 5414, 1054, 2236, 1049, 7751, 1138, 16289, 1049, 30012, 79, 3134, 24766, 8598, 1009, 7614, 1213, 2729, 1049, 17292, 1049, 29522, 2778, 8348, 2252, 1124, 5852, 7581, 1312, 1356, 1449, 1175, 3178, 162, 1273, 1090, 15216, 1005, 11723, 9720, 19135, 1175, 1668, 2285, 1963, 1076, 1068, 1487, 5988, 8598, 20, 1138, 16289, 1049, 11169, 1118, 1178, 1493, 4367, 1005, 1009, 6167, 11332, 18, 1096, 1493, 17575, 1629, 1006, 16267, 1009, 1449, 5280, 26549, 16428, 1005, 1734, 6863, 19480, 8834, 1048, 6326, 20957, 1044, 4465, 1049, 3319, 1049, 25173, 1505, 5639, 9027, 3056, 2129, 2925, 2913, 2051, 5852, 6845, 1278, 4113, 1312, 10947, 1213, 16289, 20, 1138, 1712, 9147, 2129, 2925, 3134, 4110, 8598, 1009, 7456, 1175, 1026, 1184, 2729, 1049, 4796, 1072, 1908, 1879, 4489, 30012, 79, 1096, 1026, 4489, 1184, 2512, 1049, 11169, 1043, 13612, 2693, 1006, 7858, 8223, 1043, 1026, 1594, 81, 3297, 1273, 1005, 1493, 1060, 7858, 1043, 1006, 9483, 13864, 1138, 4489, 30012, 79, 1624, 72, 6378, 1043, 4805, 10367, 18, 5700, 1569, 12965, 1493, 17575, 2445, 1006, 31935, 20, 2960, 3104, 1184, 6845, 1278, 4113, 1312, 10947, 1213, 4489, 1318, 1327, 6890, 1580, 1118, 2129, 30072, 1063, 19075, 16176, 6858, 1049, 4489, 30012, 79, 14801, 2220, 1026, 8223, 1005, 1026, 3709, 4328, 1671, 1049, 18529, 5011, 13244, 17643, 1114, 2413, 8100, 1049, 30012, 79, 10512, 1097, 1046, 5232, 1072, 17292, 1049, 8114, 3110, 31790, 1016, 2736, 1656, 2916, 1009, 1487, 7089, 1049, 11169, 1048, 29921, 5035, 1118, 1224, 6167, 11332, 20, 10620, 3311, 1049, 2956, 9793, 71, 1006, 11332, 1009, 11774, 4722, 4109, 1049, 3319, 1049, 1449, 1879, 30012, 79, 1298, 1178, 13831, 1054, 2125, 24044, 5852, 19480, 12867, 2083, 2034, 16038, 1300, 2401, 22770, 92, 1654, 2736, 1656, 1094, 23162, 6116, 1009, 3548, 4725, 1213, 2729, 1049, 4489, 30012, 3158, 4378, 2413, 1096, 8183, 1536, 5221, 1043, 1493, 6734, 14508, 19480, 2761, 5345, 2013, 8183, 17575, 1629, 1726, 17061, 1452, 1049, 4489, 20, 23366, 17061, 4837, 4850, 1009, 2261, 3890, 2653, 8016, 1679, 11511, 5657, 9628, 1118, 2143, 2790, 19387, 1046, 3056, 15935, 1009, 7522, 2130, 3068, 10909, 5700, 1026, 7108, 8183, 22577, 5386, 1005, 7322, 1068, 1006, 11239, 1276, 2034, 16038, 1300, 2401, 18141, 1102, 1060, 6285, 1049, 17292, 3842, 1046, 1006, 1712, 1751, 1049, 10711, 1049, 11169, 1847, 1006, 1712, 1271, 2125, 5852, 19480, 2761, 6997, 4378, 2413, 29921, 5035, 1356, 1235, 9659, 9900, 2574, 17387, 1599, 18933, 1009, 3011, 1394, 8478, 1065, 1312, 1005, 6941, 4854, 1209, 1009, 6167, 11332, 18, 1005, 1044, 7108, 9900, 22577, 5386, 20, 1138, 1712, 9147, 4854, 6420, 1026, 31632, 18451, 9396, 1678, 1096, 1026, 3311, 1184, 3910, 1049, 11169, 1043, 1456, 2978, 28, 4722, 1009, 11332, 20, 11841, 1751, 1271, 16038, 1300, 2401, 18141, 1102, 1327, 28660, 1118, 13573, 1276, 1138, 27037, 21885, 20636, 1096, 1094, 23162, 6116, 1009, 3548, 4725, 1114, 2413, 8100, 1049, 30012, 3158, 2013, 1094, 2413, 1009, 1008, 1625, 1024, 4065, 4367, 1005, 1043, 1044, 7108, 11622, 3694, 1054, 8198, 1043, 1026, 10711, 1049, 2956, 2474, 82, 1549, 3705, 30012, 79, 3134, 1044, 8393, 24651, 22391, 1043, 1419, 1121, 16089, 1005, 1039, 4837, 1005, 1762, 15582, 26562, 3942, 29115, 1006, 5789, 22469, 1233, 4375, 1048, 1058, 26393, 1054, 4188, 1213, 3184, 20, 1063, 5789, 4612, 1072, 13380, 1096, 1009, 1799, 117, 17388, 1063, 5789, 4612, 1060, 2413, 3821, 1096, 1009, 1782, 0, 117, 6540, 1005, 1072, 3184, 1009, 1487, 0, 117, 17388, 1776, 5661, 1006, 5789, 14120, 1072, 13380, 1096, 1054, 4612, 1009, 1307, 0, 117, 6540, 1005, 1006, 10058, 1009, 1054, 4612, 1984, 0, 117, 17388, 4115, 1518, 22350, 19244, 1703, 1040, 4331, 1009, 1782, 0, 30938, 1915, 23105, 1063, 5789, 1184, 6167, 1566, 16808, 1072, 30012, 79, 1195, 1009, 1175, 3989, 0, 117, 6540, 16808, 1054, 3258, 1203, 2975, 1054, 2595, 1009, 2992, 1009, 16219, 3942, 22483, 1006, 5789, 4612, 11009, 1233, 4375, 1048, 1058, 26393, 1054, 4188, 1213, 25279, 3702, 1006, 14852, 2374, 14120, 1365, 1094, 2413, 1005, 2924, 1049, 18529, 1063, 5789, 4612, 1072, 8730, 1096, 1009, 3734, 0, 117, 17388, 1063, 5789, 4612, 1060, 2413, 8223, 1049, 2956, 1096, 1009, 3771, 0, 117, 6540, 1005, 1072, 31605, 1009, 3727, 0, 117, 17388, 1776, 5661, 1006, 5789, 14120, 1072, 8730, 1096, 1054, 4612, 1009, 3186, 0, 117, 6540, 1005, 1006, 10058, 1009, 1054, 4612, 9670, 0, 117, 17388, 1063, 5789, 1184, 3596, 1566, 16808, 1195, 1009, 12234, 0, 117, 6540, 1054, 4760, 3351, 11608, 89, 1054, 3939, 1009, 3353, 1009, 13144, 1658, 5405, 1009, 28039, 4612, 10038, 22469, 1233, 4375, 1048, 1058, 26393, 1054, 4188, 1213, 20335, 30425, 1365, 19965, 21068, 1072, 16509, 1049, 2956, 1006, 1184, 1009, 29173, 21068, 23686, 1072, 3821, 20, 5927, 1167, 1096, 1044, 14316, 14174, 1072, 30012, 1803, 19816, 1378, 7016, 1072, 3184, 1049, 18529, 8335, 4606, 1312, 1005, 11878, 1009, 11569, 30703, 1327, 9900, 2229, 1916, 23366, 23452, 9440, 6602, 24514, 2744, 1009, 9697, 1054, 23387, 1118, 1901, 1068, 1026, 4898, 1460, 88, 11676, 1134, 1154, 20948, 1005, 1650, 1166, 1318, 1327, 1094, 13917, 3707, 1072, 2956, 2378, 21375, 4395, 3633, 9015, 1049, 30012, 79, 1195, 20966, 1054, 5614, 3211, 14218, 4052, 1887, 1184, 9814, 1596, 12524, 1312, 1054, 21195, 2525, 1578, 5784, 1005, 1054, 9856, 3537, 26296, 6857, 1233, 9015, 1327, 10623, 1356, 11230, 8488, 9086, 1005, 3634, 1178, 4254, 1312, 1118, 1213, 2444, 1675, 16785, 1049, 10219, 1005, 1060, 4338, 1187, 19407, 1708, 1049, 11169, 1005, 2276, 1118, 1487, 13842, 1206, 1184, 1060, 2779, 11292, 1049, 30012, 1803, 1054, 1044, 4768, 29175, 1063, 2779, 1049, 2956, 1318, 1298, 4694, 31648, 1233, 9015, 2328, 1009, 1094, 10731, 24160, 26296, 6857, 1318, 1693, 1178, 8364, 2328, 1009, 30040, 30778, 18, 1048, 6510, 4305, 1213, 2444, 1006, 9738, 1009, 1675, 16785, 1187, 7533, 1009, 9389, 1124, 31507, 1049, 11230, 21727, 1005, 1487, 13842, 1187, 15525, 1049, 11169, 1054, 1044, 4768, 1077, 1879, 2751, 3092, 1049, 11230, 14751, 1096, 1026, 6615, 20, 1338, 1324, 6892, 1043, 1026, 21125, 6179, 1748, 3858, 1096, 4107, 2309, 15525, 1049, 2956, 1068, 28409, 1009, 1495, 2848, 1646, 1009, 4217, 7863, 18245, 1327, 15956, 1054, 1094, 3687, 7758, 1005, 1160, 6515, 1044, 7166, 1009, 4732, 1009, 18173, 18, 1309, 1160, 1693, 17053, 1791, 28409, 1289, 7425, 1063, 3364, 1187, 7878, 1187, 2625, 23855, 1049, 14751, 1327, 21952, 1356, 1960, 3858, 1043, 22977, 1049, 8488, 9086, 1043, 8559, 1049, 13430, 1079, 30139, 1049, 13488, 1009, 2956, 1005, 1049, 6827, 12748, 15726, 18, 1048, 1327, 15956, 1357, 2779, 1049, 2956, 1068, 28409, 1009, 1495, 2848, 1646, 1009, 9178, 1879, 11230, 21727, 1096, 19427, 1356, 10219, 1005, 1357, 4338, 1187, 19407, 13104, 1138, 10219, 3134, 1044, 3225, 1009, 15870, 28949, 2097, 1006, 4338, 1187, 19407, 1708, 3134, 1044, 3225, 1009, 2224, 24, 3948, 20, 1138, 30012, 79, 1325, 13831, 1054, 15870, 16898, 5867, 4196, 1654, 1005, 2224, 24, 16898, 2821, 23105, 1766, 15525, 1009, 1752, 4657 ]

[ 12890, 1072, 14390, 1303, 1060, 19874, 23493, 21208, 1009, 11236, 20, 1138, 9032, 1195, 19443, 1356, 6483, 20097, 1119, 96, 10838, 1789, 8591, 20448, 40, 13747, 6610, 1009, 16181, 1411, 7846, 19300, 1629, 1005, 1049, 4365, 5120, 7607, 1236, 1356, 6483, 2345, 18066, 8487, 1609, 22683, 1349, 10752, 9782, 4345, 1726, 2322, 2975, 1114, 4338, 1009, 31170, 1009, 3217, 1103, 31079, 1068, 9149, 1060, 1761, 15616, 1060, 7877, 9216, 2084, 1048, 1957, 17115, 1132, 6921, 1009, 11227, 1252, 1273, 23611, 25517, 9512, 3217, 1103, 31079, 14464, 1060, 11841, 1205, 3382, 1062, 3457, 86, 1393, 1049, 7247, 1764, 1603, 17588, 1005, 3584, 3512, 1533, 6610, 8785, 1187, 11837, 1060, 7421, 11494, 7607, 1236, 1357, 23545, 1809, 1623, 8310, 1242, 20448, 1349, 10752, 9782, 4345, 1726, 2322, 2975, 1114, 4338, 1009, 31170, 1009, 10980, 5920, 1068, 9075, 1120, 1303, 1060, 7049, 16779, 2215, 1060, 19730, 17181, 3299, 1239, 13539, 1533, 6610, 8785, 1060, 20020, 1049, 7807, 2689, 14764, 14591, 1049, 30788, 7607, 1236, 1356, 6483, 1128, 3465, 23026, 2079, 1053, 6587, 9565, 20448, 1349, 10752, 9782, 4345, 1726, 21881, 16054, 1072, 17111, 1535, 1446, 19934, 2345, 1027, 1073, 1829, 4776, 1072, 29459, 24553, 1049, 10422, 8310, 5432, 21873, 1068, 28427, 1124, 17634, 1005, 1124, 18674, 1068, 1094, 20020, 9598, 22143, 1114, 4123, 1187, 3658, 1402, 2689, 12851, 1533, 7972, 15010, 24616, 13770, 1060, 13954, 0, 8488, 1921, 1213, 6483, 6007, 17401, 30363, 1024, 1005, 1213, 5549, 1009, 9522, 1868, 1192, 1214, 1103, 1945, 1678, 1009, 1924, 13802, 5280, 1054, 8327, 17889, 1072, 18251, 15665, 1009, 4091, 1509, 1229, 10663, 1726, 22291, 1005, 1726, 1578, 2975, 1118, 1109, 3131, 1187, 13203, 4763, 1123, 4514, 11055, 4562, 15, 1005, 10039, 7860, 1029, 25126, 13747, 19751, 1187, 26991, 6706, 7140, 1155, 1093, 1525, 1213, 9914, 1049, 3338, 1009, 3047, 19381, 5121, 11606, 1054, 1101, 1009, 3049, 1009, 2026, 3162, 1063, 4277, 1298, 1178, 10275, 1236, 1495, 1422, 1009, 3049, 1533, 1944, 4049, 29928, 8721, 21406, 1009, 8713, 23078, 1406, 14107, 1356, 17201, 1187, 7436, 1573, 31261, 1049, 2293, 3279, 1049, 7247, 2947, 1054, 29583, 1495, 1578, 1009, 13660, 1114, 5309, 6210, 40, 3690, 12841, 1066, 1049, 22055, 1187, 4338, 20, 1063, 4277, 1096, 1155, 1093, 1525, 1233, 16283, 1060, 2985, 73, 1979, 23078, 5613, 5066, 1312, 7263, 1005, 6007, 1049, 2956, 23006, 9782, 4345, 25233, 1322, 1006, 1761, 15616, 1060, 7877, 19, 4059, 22, 1005, 1124, 26922, 4146, 4034, 1009, 13258, 1060, 16950, 1072, 15422, 20, 1138, 5317, 1325, 26241, 1068, 1124, 1782, 2975, 1072, 17111, 1535, 1446, 19934, 2345, 1027, 1073, 1829, 4776, 1072, 29459, 24553, 1049, 10422, 8310, 5432, 3276, 20, 1, 16646, 18025, 1054, 7527, 7989, 27210, 1009, 20618, 5783, 8737, 9075, 71, 12267, 7234, 13773, 1005, 20149, 1054, 4660, 1031, 6176, 4501, 10944, 71, 1175, 15656, 1009, 1764, 2434, 2794, 3789, 1577, 15, 2135, 6203, 13758, 1105, 8034, 7480, 1145, 7527, 1065, 1961, 16646, 18025, 7527, 7989, 28331, 8034, 7480, 1145, 1054, 7527, 1065, 1961, 16646, 1054, 18025, 7527, 7989, 2878, 1088, 1447, 10972, 1009, 20618, 5783, 27210, 1009, 20618, 5783, 27210, 1009, 1776, 21378, 1678, 2878, 1088, 6464, 85, 13758, 7165, 18025, 1054, 7527, 7989, 27210, 1009, 20618, 5783, 8737, 9075, 71, 12267, 7234, 13773, 1005, 20149, 1054, 4660, 1031, 6176, 4501, 10944, 71, 2135, 15656, 1009, 1764, 2434, 2794, 3789, 1577, 15, 1175, 6203, 30110, 4265, 8677, 1094, 2451, 1009, 3356, 159, 1028, 2898, 6085, 14853, 1054, 1607, 1088, 1051, 156, 152, 1026, 18, 3488, 1007, 156, 152, 1026, 18, 6029, 156, 152, 1026, 1009, 9851, 1005, 6985, 95, 6145, 2106, 2962, 4927, 152, 1026, 1009, 6137, 1005, 16192, 18, 1376, 8381, 1005, 2476, 9170, 1054, 27402, 1678, 4723, 5783, 15541, 2106, 14985, 4525, 3118, 5811, 1064, 24502, 9211, 4364, 18, 4928, 1009, 13374, 2020, 1336, 82, 7291, 21111, 12913, 1005, 1043, 1033, 2037, 4192, 156, 152, 1026, 1009, 1858, 1054, 10099, 11941, 1400, 1172, 28791, 14, 22146, 1277, 81, 15, 1005, 1734, 4267, 1009, 5519, 9169, 2930, 1807, 19113, 1096, 1006, 24855, 1072, 5883, 1005, 6030, 79, 159, 1028, 2898, 1054, 16187, 3081, 1005, 5807, 3171, 1009, 1030, 3158, 17058, 3189, 8294, 1060, 5928, 3039, 156, 152, 1026, 1009, 3794, 13857, 1096, 1118, 3005, 1048, 4929, 17770, 1006, 1752, 10987, 2930, 2999, 9678, 1015, 152, 1026, 5224, 4209, 1048, 1244, 96, 1046, 1118, 13057, 21810, 18, 23751, 1149, 1005, 6030, 79, 159, 1028, 73, 2275, 1063, 26951, 1381, 1751, 1049, 2930, 24808, 5166, 1411, 12950, 1026, 2950, 1096, 4417, 3659, 1305, 3530, 21374, 1096, 1118, 1616, 1048, 2900, 1800, 16187, 3081, 1005, 21921, 1026, 1184, 6518, 2481, 2073, 2446, 1009, 10999, 2778, 1508, 1318, 1043, 2930, 3603, 1009, 13057, 1068, 1048, 1299, 2457, 17225, 25078, 1371, 23358, 1043, 3794, 23344, 1006, 28092, 14652, 26951, 4351, 1184, 1094, 21404, 1149, 1679, 1456, 4209, 28085, 1005, 7958, 20, 1026, 3159, 5510, 12267, 19, 4822, 96, 5560, 5372, 9744, 14, 89, 22557, 1068, 3861, 15, 1745, 2644, 1010, 1026, 1235, 1867, 3784, 15377, 1508, 9112, 1005, 9656, 1508, 1305, 2073, 3156, 1667, 20995, 1048, 1998, 1114, 28092, 14652, 1006, 5405, 1068, 5883, 1054, 16124, 6176, 1096, 11411, 20, 6763, 2147, 1305, 9797, 2250, 1005, 13682, 1068, 12249, 21, 10101, 1665, 32, 3919, 1006, 4802, 1175, 8260, 5207, 1233, 1015, 1204, 5207, 1172, 89, 1043, 1616, 1006, 28092, 14652, 26951, 9047, 10830, 1620, 1184, 1006, 21404, 1149, 1009, 3794, 19139, 21879, 1026, 2930, 2788, 1005, 25961, 1184, 15027, 156, 170, 1116, 20, 30203, 1566, 1005, 1460, 6885, 1044, 7333, 20, 2475, 1175, 13065, 3531, 15084, 4406, 2135, 1779, 3612, 24, 7942, 28, 5515, 28092, 14652, 26951, 1175, 18046, 86, 1169, 81, 2788, 2856, 10736, 4821, 6269, 1667, 16595, 1383, 18929, 10437, 11006, 19715, 1358, 1253, 2457, 1779, 9949, 1062, 3551, 32, 1559, 27204, 32, 10736, 4821, 6269, 1667, 16595, 3141, 15193, 32, 3093, 3430, 22, 3459, 2555, 19286, 3356, 8034, 3065, 1145, 2711, 1065, 1961, 8377, 6085, 2711, 7989, 3356, 8034, 3065, 1145, 1054, 2711, 1065, 1961, 8377, 1054, 6085, 2711, 7989, 1607, 1088, 1447, 10972, 1009, 13374, 11632, 2830, 15, 13065, 3531, 7484, 29, 4406, 29, 5, 1265, 1041, 1272, 6085, 2127, 5604, 1054, 27402, 89, 6486, 3398, 1005, 6004, 1166, 2844, 2148, 95, 1175, 1745, 2644, 1010, 1005, 9656, 1508, 1235, 27402, 5767, 1005, 15965, 1026, 77, 1130, 6493, 3226, 71, 1025, 86, 1673, 89, 13374, 1096, 1094, 2451, 14853, 1054, 5875, 6304, 1009, 23680, 1571, 27720, 1043, 10336, 1801, 29452, 1005, 12211, 1009, 6389, 20, 1090, 13163, 3226, 8420, 6896, 1163, 30617, 5315, 1917, 1018, 1005, 15212, 1074, 1764, 2494, 12300, 15212, 1013, 1175, 25974, 5011, 7759, 1044, 8917, 90, 1714, 5290, 1175, 11161, 1059, 1117, 1420, 2930, 13512, 1009, 3140, 13269, 1005, 12543, 1074, 1009, 3227, 1068, 2252, 1124, 1852, 20489, 1152, 12543, 1074, 32, 3125, 23205, 13828, 4051, 23716, 1071, 6145, 15, 3125, 21974, 6548, 1071, 20759, 15, 3125, 21974, 11025, 1071, 93, 86, 15, 3125, 8177, 1343, 12042, 1061, 3125, 8177, 1343, 1600, 1256, 12448, 8594, 1045, 1175, 1062, 4828, 22440, 1983, 6084, 1009, 8084, 1005, 1387, 1024, 2040, 29384, 1155, 8594, 1045, 1096, 14853, 1054, 3603, 1009, 19376, 3177, 1005, 12773, 1571, 21621, 6486, 1005, 3140, 1009, 3450, 1005, 19452, 3983, 2924, 2236, 1048, 1006, 2451, 3226, 2702, 19278, 1145, 1175, 28348, 1175, 8816, 5830, 1005, 5171, 12461, 13960, 1223, 1508, 1072, 3099, 1006, 1184, 1009, 1158, 1646, 13303, 8140, 3140, 1009, 26951, 1006, 3319, 6304, 1463, 3235, 1009, 21348, 1807, 1005, 6571, 15045, 13389, 1646, 1009, 23451, 3467, 1876, 1005, 1178, 2590, 1715, 6389, 18, 31857, 1005, 13734, 1009, 1867, 8424, 9469, 9273, 1009, 1858, 1071, 8196, 1727, 22938, 1349, 9469, 13734, 1005, 1023, 27214, 5307, 3972, 1068, 13498, 1112, 17238, 1175, 24470, 5, 1135, 4828, 3972, 1068, 27165, 4678, 1175, 1086, 2109, 5213, 1005, 2413, 1175, 2271, 9339, 2368, 2315, 26494, 1068, 27165, 21528, 1043, 4062, 1769, 6304, 14674, 76, 1175, 1395, 9481, 3919, 20764, 1159, 6072, 10472, 18, 8744, 1068, 6950, 23232, 1108, 1041, 3418, 7527, 2672, 25247, 1196, 5, 1736, 5830, 1054, 13374, 1005, 14985, 1170, 1054, 5661, 7442, 1009, 1135, 4828, 3972, 1005, 16192, 18, 3538, 7088, 30203, 1005, 13240, 1132, 1244, 13323, 19412, 5453, 1043, 2714, 1715, 1, 1138, 7296, 1096, 5184, 2453, 1060, 3486, 10465, 1068, 2837, 1800, 1044, 3563, 1009, 5545, 1005, 17377, 3994, 30437, 1048, 5482, 2315, 1206, 1880, 21104, 1884, 2148, 3068, 3513, 1114, 7401, 18, 1159, 1233, 4033, 10109, 4809, 1206, 6650, 14, 152, 15, 1048, 2373, 12677, 1294, 1004, 1508, 1493, 1680, 626, 1005, 1846, 1096, 5573, 21917, 2237, 4884, 1043, 1233, 4033, 14742, 1009, 6730, 22543, 1005, 1679, 23956, 2904, 1013, 1047, 1048, 10468, 1132, 2625, 1096, 1026, 5620, 1005, 3872, 27228, 3204, 1096, 1026, 3489, 1006, 1178, 3547, 4457, 1776, 2268, 3048, 1664, 1460, 1040, 3987, 29382, 6126, 1132, 2625, 1048, 6639, 5587, 1026, 3182, 1187, 9918, 6126, 1132, 2625, 1048, 1048, 1058, 20980, 22035, 1060, 4556, 17711, 20, 6126, 1132, 1048, 22002, 1456, 3997, 1309, 7800, 1040, 1187, 1456, 1976, 4846, 1138, 1807, 11706, 1530, 1096, 1495, 1048, 3311, 7954, 4379, 1048, 1783, 2468, 1040, 1026, 3182, 1155, 1208, 2037, 1495, 1571, 2092, 3282, 1009, 5978, 1298, 17716, 37, 1138, 3445, 1096, 1026, 13283, 8261, 1726, 6236, 5510, 1557, 1068, 8900, 1026, 675, 1628, 2037, 1026, 20176, 9144, 8106, 1026, 3445, 1160, 6787, 3991, 1870, 1929, 1100, 1475, 11904, 10698, 1026, 3010, 5587, 3182, 37, 1972, 2088, 25997, 1026, 2631, 3018, 1124, 17584, 22903, 3273, 1026, 26783, 1327, 4944, 2765, 1009, 2685, 13809, 1377, 1, 2800, 1299, 1298, 1419, 1327, 11112, 1009, 6863, 1048, 1693, 20732, 1005, 1493, 1054, 1094, 27623, 1764, 3328, 2987, 1054, 1048, 1299, 1298, 2593, 1558, 3899, 1005, 6968, 1009, 11062, 6601, 1005, 1072, 1852, 6119, 5807, 3530, 3171, 2374, 3918, 11327, 7990, 1252, 1853, 1048, 1663, 1044, 6573, 1054, 2218, 2485, 11729, 1356, 2790, 1009, 1048, 3137, 4710, 1132, 3171, 1299, 2155, 1261, 5606, 1006, 2729, 5633, 1005, 2278, 1435, 1054, 14099, 1989, 5606, 1160, 2177, 1006, 2729, 25926, 1138, 14566, 1009, 20878, 1318, 3201, 1159, 17189, 1009, 20878, 1096, 1094, 5980, 1048, 3904, 1058, 20983, 1435, 1072, 3099, 15798, 1138, 10133, 1060, 17578, 1048, 1072, 1151, 3562, 1027, 1009, 3099, 1096, 3201, 1159, 1049, 3858, 2714, 4737, 1224, 3597, 1118, 1044, 7620, 5633, 1006, 1044, 5064, 7100, 2468, 1348, 15, 1005, 1054, 7160, 6706, 1094, 3786, 1377, 13295, 6236, 1986, 4305, 1124, 20878, 1026, 2468, 1348, 1124, 12598, 1072, 11257, 10069, 1006, 6841, 1060, 26292, 1005, 1846, 1124, 11909, 1007, 1006, 1044, 4863, 28713, 8757, 4710, 16520, 1213, 1049, 1348, 1072, 3991, 1337, 1049, 5453, 1206, 19763, 20, 5841, 5980, 1096, 4485, 1159, 5641, 1006, 9876, 3301, 8361, 1048, 1299, 2276, 3241, 1026, 3189, 18154, 1005, 1058, 18673, 18016, 1629, 4666, 3099, 1503, 4647, 3684, 4347, 1322, 1779, 5625, 1048, 1044, 5438, 1014, 1009, 3189, 1976, 1261, 18, 1058, 1299, 6537, 3592, 1428, 5129, 10543, 6313, 150, 1072, 3099, 10268, 1068, 6242, 2042, 2100, 3423, 2668, 1213, 7462, 1049, 21023, 1006, 16327, 2918, 1225, 1094, 4281, 16511, 1294, 4620, 1479, 3702, 3591, 2024, 1054, 7189, 1488, 28484, 1224, 5732, 1009, 6444, 1072, 1908, 1479, 1005, 6119, 5553, 1853, 8773, 1140, 1068, 8130, 11549, 8879, 1114, 11944, 1005, 1114, 22185, 1571, 1566, 11897, 1094, 3838, 4281, 1704, 23437, 11327, 7990, 23561, 1159, 2071, 1026, 9142, 1009, 17614, 1114, 6714, 1009, 8593, 1467, 3484, 1325, 1114, 7461, 1009, 1150, 4013, 2051, 8, 1068, 2472, 5793, 11650, 1048, 4279, 14333, 1044, 7423, 1712, 1009, 3453, 6181, 5986, 1657, 1094, 1751, 20, 2800, 1006, 5980, 1096, 14159, 26400, 1657, 1357, 5267, 1365, 1124, 2161, 12536, 1009, 2625, 31836, 1273, 1160, 1096, 3654, 1048, 1026, 22232, 3241, 5321, 2220, 1026, 21951, 1009, 3480, 14062, 1114, 5980, 20, 16038, 4851, 13824, 2032, 32, 2523, 18792, 8934, 2330, 1410, 1907, 1972, 3713, 2346, 6716, 1006, 4490, 9684, 1005, 23182, 1054, 6320, 26092, 1068, 1048, 1006, 11522, 2374, 1680, 10952, 2154, 1299, 3135, 5872, 1094, 1871, 1068, 1006, 7298, 8347, 1305, 14328, 8531, 8969, 18, 5639, 1298, 1178, 1044, 2863, 1068, 6941, 19566, 1054, 1048, 1132, 14467, 1693, 1261, 17030, 3748, 2289, 6382, 24512, 9340, 1986, 1006, 11874, 1009, 1734, 5435, 2585, 1298, 1178, 4417, 1058, 20405, 1005, 2653, 24113, 20610, 3027, 1048, 6180, 3918, 11327, 7990, 1252, 1043, 9613, 1271, 6433, 1726, 7685, 1060, 4141, 2275, 1063, 16442, 1009, 21516, 1096, 1044, 3099, 1571, 1058, 5058, 1202, 1124, 9666, 1005, 6433, 1009, 3540, 1005, 7268, 1048, 1327, 29611, 1118, 3235, 1009, 3861, 6888, 20, 1766, 26679, 1048, 18909, 1124 ]

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

[ 12890, 1072, 14390, 1303, 1060, 19874, 23493, 21208, 1009, 11236, 20, 1138, 9032, 1195, 19443, 1356, 6483, 20097, 1119, 96, 10838, 1789, 8591, 20448, 40, 13747, 6610, 1009, 16181, 1411, 7846, 19300, 1629, 1005, 1049, 4365, 5120, 7607, 1236, 1356, 6483, 2345, 18066, 8487, 1609, 22683, 1349, 10752, 9782, 4345, 1726, 2322, 2975, 1114, 4338, 1009, 31170, 1009, 3217, 1103, 31079, 1068, 9149, 1060, 1761, 15616, 1060, 7877, 9216, 2084, 1048, 1957, 17115, 1132, 6921, 1009, 11227, 1252, 1273, 23611, 25517, 9512, 3217, 1103, 31079, 14464, 1060, 11841, 1205, 3382, 1062, 3457, 86, 1393, 1049, 7247, 1764, 1603, 17588, 1005, 3584, 3512, 1533, 6610, 8785, 1187, 11837, 1060, 7421, 11494, 7607, 1236, 1357, 23545, 1809, 1623, 8310, 1242, 20448, 1349, 10752, 9782, 4345, 1726, 2322, 2975, 1114, 4338, 1009, 31170, 1009, 10980, 5920, 1068, 9075, 1120, 1303, 1060, 7049, 16779, 2215, 1060, 19730, 17181, 3299, 1239, 13539, 1533, 6610, 8785, 1060, 20020, 1049, 7807, 2689, 14764, 14591, 1049, 30788, 7607, 1236, 1356, 6483, 1128, 3465, 23026, 2079, 1053, 6587, 9565, 20448, 1349, 10752, 9782, 4345, 1726, 21881, 16054, 1072, 17111, 1535, 1446, 19934, 2345, 1027, 1073, 1829, 4776, 1072, 29459, 24553, 1049, 10422, 8310, 5432, 21873, 1068, 28427, 1124, 17634, 1005, 1124, 18674, 1068, 1094, 20020, 9598, 22143, 1114, 4123, 1187, 3658, 1402, 2689, 12851, 1533, 7972, 15010, 24616, 13770, 1060, 13954, 0, 8488, 1921, 1213, 6483, 6007, 17401, 30363, 1024, 1005, 1213, 5549, 1009, 9522, 1868, 1192, 1214, 1103, 1945, 1678, 1009, 1924, 13802, 5280, 1054, 8327, 17889, 1072, 18251, 15665, 1009, 4091, 1509, 1229, 10663, 1726, 22291, 1005, 1726, 1578, 2975, 1118, 1109, 3131, 1187, 13203, 4763, 1123, 4514, 11055, 4562, 15, 1005, 10039, 7860, 1029, 25126, 13747, 19751, 1187, 26991, 6706, 7140, 1155, 1093, 1525, 1213, 9914, 1049, 3338, 1009, 3047, 19381, 5121, 11606, 1054, 1101, 1009, 3049, 1009, 2026, 3162, 1063, 4277, 1298, 1178, 10275, 1236, 1495, 1422, 1009, 3049, 1533, 1944, 4049, 29928, 8721, 21406, 1009, 8713, 23078, 1406, 14107, 1356, 17201, 1187, 7436, 1573, 31261, 1049, 2293, 3279, 1049, 7247, 2947, 1054, 29583, 1495, 1578, 1009, 13660, 1114, 5309, 6210, 40, 3690, 12841, 1066, 1049, 22055, 1187, 4338, 20, 1063, 4277, 1096, 1155, 1093, 1525, 1233, 16283, 1060, 2985, 73, 1979, 23078, 5613, 5066, 1312, 7263, 1005, 6007, 1049, 2956, 23006, 9782, 4345, 25233, 1322, 1006, 1761, 15616, 1060, 7877, 19, 4059, 22, 1005, 1124, 26922, 4146, 4034, 1009, 13258, 1060, 16950, 1072, 15422, 20, 1138, 5317, 1325, 26241, 1068, 1124, 1782, 2975, 1072, 17111, 1535, 1446, 19934, 2345, 1027, 1073, 1829, 4776, 1072, 29459, 24553, 1049, 10422, 8310, 5432, 3276, 20, 1, 16646, 18025, 1054, 7527, 7989, 27210, 1009, 20618, 5783, 8737, 9075, 71, 12267, 7234, 13773, 1005, 20149, 1054, 4660, 1031, 6176, 4501, 10944, 71, 1175, 15656, 1009, 1764, 2434, 2794, 3789, 1577, 15, 2135, 6203, 13758, 1105, 8034, 7480, 1145, 7527, 1065, 1961, 16646, 18025, 7527, 7989, 28331, 8034, 7480, 1145, 1054, 7527, 1065, 1961, 16646, 1054, 18025, 7527, 7989, 2878, 1088, 1447, 10972, 1009, 20618, 5783, 27210, 1009, 20618, 5783, 27210, 1009, 1776, 21378, 1678, 2878, 1088, 6464, 85, 13758, 7165, 18025, 1054, 7527, 7989, 27210, 1009, 20618, 5783, 8737, 9075, 71, 12267, 7234, 13773, 1005, 20149, 1054, 4660, 1031, 6176, 4501, 10944, 71, 2135, 15656, 1009, 1764, 2434, 2794, 3789, 1577, 15, 1175, 6203, 30110, 4265, 8677, 1094, 2451, 1009, 3356, 159, 1028, 2898, 6085, 14853, 1054, 1607, 1088, 1051, 156, 152, 1026, 18, 3488, 1007, 156, 152, 1026, 18, 6029, 156, 152, 1026, 1009, 9851, 1005, 6985, 95, 6145, 2106, 2962, 4927, 152, 1026, 1009, 6137, 1005, 16192, 18, 1376, 8381, 1005, 2476, 9170, 1054, 27402, 1678, 4723, 5783, 15541, 2106, 14985, 4525, 3118, 5811, 1064, 24502, 9211, 4364, 18, 4928, 1009, 13374, 2020, 1336, 82, 7291, 21111, 12913, 1005, 1043, 1033, 2037, 4192, 156, 152, 1026, 1009, 1858, 1054, 10099, 11941, 1400, 1172, 28791, 14, 22146, 1277, 81, 15, 1005, 1734, 4267, 1009, 5519, 9169, 2930, 1807, 19113, 1096, 1006, 24855, 1072, 5883, 1005, 6030, 79, 159, 1028, 2898, 1054, 16187, 3081, 1005, 5807, 3171, 1009, 1030, 3158, 17058, 3189, 8294, 1060, 5928, 3039, 156, 152, 1026, 1009, 3794, 13857, 1096, 1118, 3005, 1048, 4929, 17770, 1006, 1752, 10987, 2930, 2999, 9678, 1015, 152, 1026, 5224, 4209, 1048, 1244, 96, 1046, 1118, 13057, 21810, 18, 23751, 1149, 1005, 6030, 79, 159, 1028, 73, 2275, 1063, 26951, 1381, 1751, 1049, 2930, 24808, 5166, 1411, 12950, 1026, 2950, 1096, 4417, 3659, 1305, 3530, 21374, 1096, 1118, 1616, 1048, 2900, 1800, 16187, 3081, 1005, 21921, 1026, 1184, 6518, 2481, 2073, 2446, 1009, 10999, 2778, 1508, 1318, 1043, 2930, 3603, 1009, 13057, 1068, 1048, 1299, 2457, 17225, 25078, 1371, 23358, 1043, 3794, 23344, 1006, 28092, 14652, 26951, 4351, 1184, 1094, 21404, 1149, 1679, 1456, 4209, 28085, 1005, 7958, 20, 1026, 3159, 5510, 12267, 19, 4822, 96, 5560, 5372, 9744, 14, 89, 22557, 1068, 3861, 15, 1745, 2644, 1010, 1026, 1235, 1867, 3784, 15377, 1508, 9112, 1005, 9656, 1508, 1305, 2073, 3156, 1667, 20995, 1048, 1998, 1114, 28092, 14652, 1006, 5405, 1068, 5883, 1054, 16124, 6176, 1096, 11411, 20, 6763, 2147, 1305, 9797, 2250, 1005, 13682, 1068, 12249, 21, 10101, 1665, 32, 3919, 1006, 4802, 1175, 8260, 5207, 1233, 1015, 1204, 5207, 1172, 89, 1043, 1616, 1006, 28092, 14652, 26951, 9047, 10830, 1620, 1184, 1006, 21404, 1149, 1009, 3794, 19139, 21879, 1026, 2930, 2788, 1005, 25961, 1184, 15027, 156, 170, 1116, 20, 30203, 1566, 1005, 1460, 6885, 1044, 7333, 20, 2475, 1175, 13065, 3531, 15084, 4406, 2135, 1779, 3612, 24, 7942, 28, 5515, 28092, 14652, 26951, 1175, 18046, 86, 1169, 81, 2788, 2856, 10736, 4821, 6269, 1667, 16595, 1383, 18929, 10437, 11006, 19715, 1358, 1253, 2457, 1779, 9949, 1062, 3551, 32, 1559, 27204, 32, 10736, 4821, 6269, 1667, 16595, 3141, 15193, 32, 3093, 3430, 22, 3459, 2555, 19286, 3356, 8034, 3065, 1145, 2711, 1065, 1961, 8377, 6085, 2711, 7989, 3356, 8034, 3065, 1145, 1054, 2711, 1065, 1961, 8377, 1054, 6085, 2711, 7989, 1607, 1088, 1447, 10972, 1009, 13374, 11632, 2830, 15, 13065, 3531, 7484, 29, 4406, 29, 5, 1265, 1041, 1272, 6085, 2127, 5604, 1054, 27402, 89, 6486, 3398, 1005, 6004, 1166, 2844, 2148, 95, 1175, 1745, 2644, 1010, 1005, 9656, 1508, 1235, 27402, 5767, 1005, 15965, 1026, 77, 1130, 6493, 3226, 71, 1025, 86, 1673, 89, 13374, 1096, 1094, 2451, 14853, 1054, 5875, 6304, 1009, 23680, 1571, 27720, 1043, 10336, 1801, 29452, 1005, 12211, 1009, 6389, 20, 1090, 13163, 3226, 8420, 6896, 1163, 30617, 5315, 1917, 1018, 1005, 15212, 1074, 1764, 2494, 12300, 15212, 1013, 1175, 25974, 5011, 7759, 1044, 8917, 90, 1714, 5290, 1175, 11161, 1059, 1117, 1420, 2930, 13512, 1009, 3140, 13269, 1005, 12543, 1074, 1009, 3227, 1068, 2252, 1124, 1852, 20489, 1152, 12543, 1074, 32, 3125, 23205, 13828, 4051, 23716, 1071, 6145, 15, 3125, 21974, 6548, 1071, 20759, 15, 3125, 21974, 11025, 1071, 93, 86, 15, 3125, 8177, 1343, 12042, 1061, 3125, 8177, 1343, 1600, 1256, 12448, 8594, 1045, 1175, 1062, 4828, 22440, 1983, 6084, 1009, 8084, 1005, 1387, 1024, 2040, 29384, 1155, 8594, 1045, 1096, 14853, 1054, 3603, 1009, 19376, 3177, 1005, 12773, 1571, 21621, 6486, 1005, 3140, 1009, 3450, 1005, 19452, 3983, 2924, 2236, 1048, 1006, 2451, 3226, 2702, 19278, 1145, 1175, 28348, 1175, 8816, 5830, 1005, 5171, 12461, 13960, 1223, 1508, 1072, 3099, 1006, 1184, 1009, 1158, 1646, 13303, 8140, 3140, 1009, 26951, 1006, 3319, 6304, 1463, 3235, 1009, 21348, 1807, 1005, 6571, 15045, 13389, 1646, 1009, 23451, 3467, 1876, 1005, 1178, 2590, 1715, 6389, 18, 31857, 1005, 13734, 1009, 1867, 8424, 9469, 9273, 1009, 1858, 1071, 8196, 1727, 22938, 1349, 9469, 13734, 1005, 1023, 27214, 5307, 3972, 1068, 13498, 1112, 17238, 1175, 24470, 5, 1135, 4828, 3972, 1068, 27165, 4678, 1175, 1086, 2109, 5213, 1005, 2413, 1175, 2271, 9339, 2368, 2315, 26494, 1068, 27165, 21528, 1043, 4062, 1769, 6304, 14674, 76, 1175, 1395, 9481, 3919, 20764, 1159, 6072, 10472, 18, 8744, 1068, 6950, 23232, 1108, 1041, 3418, 7527, 2672, 25247, 1196, 5, 1736, 5830, 1054, 13374, 1005, 14985, 1170, 1054, 5661, 7442, 1009, 1135, 4828, 3972, 1005, 16192, 18, 3538, 7088, 30203, 1005, 13240, 1132, 1244, 13323, 19412, 5453, 1043, 2714, 1715, 1, 1138, 7296, 1096, 5184, 2453, 1060, 3486, 10465, 1068, 2837, 1800, 1044, 3563, 1009, 5545, 1005, 17377, 3994, 30437, 1048, 5482, 2315, 1206, 1880, 21104, 1884, 2148, 3068, 3513, 1114, 7401, 18, 1159, 1233, 4033, 10109, 4809, 1206, 6650, 14, 152, 15, 1048, 2373, 12677, 1294, 1004, 1508, 1493, 1680, 626, 1005, 1846, 1096, 5573, 21917, 2237, 4884, 1043, 1233, 4033, 14742, 1009, 6730, 22543, 1005, 1679, 23956, 2904, 1013, 1047, 1048, 10468, 1132, 2625, 1096, 1026, 5620, 1005, 3872, 27228, 3204, 1096, 1026, 3489, 1006, 1178, 3547, 4457, 1776, 2268, 3048, 1664, 1460, 1040, 3987, 29382, 6126, 1132, 2625, 1048, 6639, 5587, 1026, 3182, 1187, 9918, 6126, 1132, 2625, 1048, 1048, 1058, 20980, 22035, 1060, 4556, 17711, 20, 6126, 1132, 1048, 22002, 1456, 3997, 1309, 7800, 1040, 1187, 1456, 1976, 4846, 1138, 1807, 11706, 1530, 1096, 1495, 1048, 3311, 7954, 4379, 1048, 1783, 2468, 1040, 1026, 3182, 1155, 1208, 2037, 1495, 1571, 2092, 3282, 1009, 5978, 1298, 17716, 37, 1138, 3445, 1096, 1026, 13283, 8261, 1726, 6236, 5510, 1557, 1068, 8900, 1026, 675, 1628, 2037, 1026, 20176, 9144, 8106, 1026, 3445, 1160, 6787, 3991, 1870, 1929, 1100, 1475, 11904, 10698, 1026, 3010, 5587, 3182, 37, 1972, 2088, 25997, 1026, 2631, 3018, 1124, 17584, 22903, 3273, 1026, 26783, 1327, 4944, 2765, 1009, 2685, 13809, 1377, 1, 2800, 1299, 1298, 1419, 1327, 11112, 1009, 6863, 1048, 1693, 20732, 1005, 1493, 1054, 1094, 27623, 1764, 3328, 2987, 1054, 1048, 1299, 1298, 2593, 1558, 3899, 1005, 6968, 1009, 11062, 6601, 1005, 1072, 1852, 6119, 5807, 3530, 3171, 2374, 3918, 11327, 7990, 1252, 1853, 1048, 1663, 1044, 6573, 1054, 2218, 2485, 11729, 1356, 2790, 1009, 1048, 3137, 4710, 1132, 3171, 1299, 2155, 1261, 5606, 1006, 2729, 5633, 1005, 2278, 1435, 1054, 14099, 1989, 5606, 1160, 2177, 1006, 2729, 25926, 1138, 14566, 1009, 20878, 1318, 3201, 1159, 17189, 1009, 20878, 1096, 1094, 5980, 1048, 3904, 1058, 20983, 1435, 1072, 3099, 15798, 1138, 10133, 1060, 17578, 1048, 1072, 1151, 3562, 1027, 1009, 3099, 1096, 3201, 1159, 1049, 3858, 2714, 4737, 1224, 3597, 1118, 1044, 7620, 5633, 1006, 1044, 5064, 7100, 2468, 1348, 15, 1005, 1054, 7160, 6706, 1094, 3786, 1377, 13295, 6236, 1986, 4305, 1124, 20878, 1026, 2468, 1348, 1124, 12598, 1072, 11257, 10069, 1006, 6841, 1060, 26292, 1005, 1846, 1124, 11909, 1007, 1006, 1044, 4863, 28713, 8757, 4710, 16520, 1213, 1049, 1348, 1072, 3991, 1337, 1049, 5453, 1206, 19763, 20, 5841, 5980, 1096, 4485, 1159, 5641, 1006, 9876, 3301, 8361, 1048, 1299, 2276, 3241, 1026, 3189, 18154, 1005, 1058, 18673, 18016, 1629, 4666, 3099, 1503, 4647, 3684, 4347, 1322, 1779, 5625, 1048, 1044, 5438, 1014, 1009, 3189, 1976, 1261, 18, 1058, 1299, 6537, 3592, 1428, 5129, 10543, 6313, 150, 1072, 3099, 10268, 1068, 6242, 2042, 2100, 3423, 2668, 1213, 7462, 1049, 21023, 1006, 16327, 2918, 1225, 1094, 4281, 16511, 1294, 4620, 1479, 3702, 3591, 2024, 1054, 7189, 1488, 28484, 1224, 5732, 1009, 6444, 1072, 1908, 1479, 1005, 6119, 5553, 1853, 8773, 1140, 1068, 8130, 11549, 8879, 1114, 11944, 1005, 1114, 22185, 1571, 1566, 11897, 1094, 3838, 4281, 1704, 23437, 11327, 7990, 23561, 1159, 2071, 1026, 9142, 1009, 17614, 1114, 6714, 1009, 8593, 1467, 3484, 1325, 1114, 7461, 1009, 1150, 4013, 2051, 8, 1068, 2472, 5793, 11650, 1048, 4279, 14333, 1044, 7423, 1712, 1009, 3453, 6181, 5986, 1657, 1094, 1751, 20, 2800, 1006, 5980, 1096, 14159, 26400, 1657, 1357, 5267, 1365, 1124, 2161, 12536, 1009, 2625, 31836, 1273, 1160, 1096, 3654, 1048, 1026, 22232, 3241, 5321, 2220, 1026, 21951, 1009, 3480, 14062, 1114, 5980, 20, 16038, 4851, 13824, 2032, 32, 2523, 18792, 8934, 2330, 1410, 1907, 1972, 3713, 2346, 6716, 1006, 4490, 9684, 1005, 23182, 1054, 6320, 26092, 1068, 1048, 1006, 11522, 2374, 1680, 10952, 2154, 1299, 3135, 5872, 1094, 1871, 1068, 1006, 7298, 8347, 1305, 14328, 8531, 8969, 18, 5639, 1298, 1178, 1044, 2863, 1068, 6941, 19566, 1054, 1048, 1132, 14467, 1693, 1261, 17030, 3748, 2289, 6382, 24512, 9340, 1986, 1006, 11874, 1009, 1734, 5435, 2585, 1298, 1178, 4417, 1058, 20405, 1005, 2653, 24113, 20610, 3027, 1048, 6180, 3918, 11327, 7990, 1252, 1043, 9613, 1271, 6433, 1726, 7685, 1060, 4141, 2275, 1063, 16442, 1009, 21516, 1096, 1044, 3099, 1571, 1058, 5058, 1202, 1124, 9666, 1005, 6433, 1009, 3540, 1005, 7268, 1048, 1327, 29611, 1118, 3235, 1009, 3861, 6888, 20, 1766, 26679, 1048, 18909, 1124 ]

[ 1094, 2042, 5334, 8467, 1291, 1060, 3963, 3843, 1482, 1831, 8248, 1006, 5034, 1049, 15851, 11897, 1094, 10074, 2404, 1184, 3135, 1060, 27595, 1060, 3610, 1356, 1784, 2271, 1224, 4599, 3635, 10447, 5221, 1996, 1049, 16522, 1009, 6768, 2726, 1728, 3782, 3360, 11897, 1006, 1249, 1120, 2669, 18944, 1149, 1060, 2042, 8606, 1159, 5465, 11328, 1006, 4081, 1057, 2209, 21954, 1060, 17183, 72, 10933, 4208, 1085, 1024, 9902, 1291, 5613, 5376, 1114, 1834, 8606, 1294, 4679, 1782, 1910, 2864, 1005, 1592, 1463, 9078, 2256, 2601, 4650, 1327, 3056, 4810, 1068, 4207, 5174, 1312, 1118, 1044, 11650, 17262, 2997, 9902, 1291, 1009, 8172, 2290, 3300, 2223, 15460, 2643, 1006, 1419, 1043, 1006, 28806, 1060, 16401, 1009, 5625, 9270, 1580, 1118, 13832, 9790, 1005, 1160, 3300, 9363, 3915, 12563, 1126, 1006, 13010, 1049, 15851, 11359, 1044, 3202, 22894, 29822, 1068, 9280, 1006, 8172, 1060, 3610, 22460, 3720, 1294, 4351, 1318, 1044, 1238, 17233, 1079, 1370, 18401, 1029, 1068, 1006, 2042, 27949, 1063, 2042, 1096, 1006, 22084, 1060, 8172, 1080, 21518, 1049, 1859, 85, 10604, 79, 1219, 1118, 1734, 8326, 3915, 2277, 8248, 1006, 2360, 27833, 5334, 8467, 1291, 5465, 1342, 1006, 21152, 1365, 2042, 1005, 1124, 13835, 7959, 1005, 1201, 29011, 1132, 29247, 19855, 1322, 1058, 1006, 2042, 1096, 1206, 1160, 1094, 6644, 3915, 3078, 3478, 1687, 1294, 8757, 1167, 1233, 5939, 14421, 1060, 8172, 8606, 24713, 2309, 7962, 24618, 6345, 5783, 1048, 1096, 1006, 1009, 9280, 1132, 18956, 1009, 12449, 1365, 3028, 3610, 1005, 1235, 16664, 1005, 2930, 3603, 11184, 1322, 11249, 3782, 3901, 1663, 1124, 8155, 1048, 24979, 1381, 2275, 1766, 2373, 83, 3102, 1009, 2935, 4324, 11627, 1054, 3056, 23900, 1114, 4639, 1949, 5160, 1463, 19953, 18, 1005, 1114, 4422, 2952, 1479, 1309, 1318, 1072, 1622, 1047, 5051, 1479, 2643, 2281, 13636, 1068, 1006, 8172, 22460, 11595, 5272, 6481, 1159, 24979, 3675, 1411, 1160, 1058, 18685, 1005, 1160, 1058, 5036, 1118, 4384, 16201, 1728, 1764, 3638, 1009, 4031, 1005, 3680, 1054, 7653, 21933, 1048, 1857, 1160, 18926, 1460, 1435, 1005, 16203, 3188, 5247, 1309, 1160, 2730, 12446, 13906, 3136, 1124, 3606, 18674, 1114, 2042, 12201, 1318, 1294, 3245, 3685, 1233, 4033, 3489, 6740, 18, 1620, 1048, 2598, 5560, 1798, 5336, 1187, 1048, 2392, 1046, 1026, 4995, 32, 1006, 2373, 78, 3466, 3225, 8226, 2656, 1094, 2373, 78, 3466, 1009, 2289, 4324, 1309, 1006, 2042, 1159, 1094, 25480, 3207, 1020, 1519, 1054, 1048, 2252, 1124, 3638, 20440, 1826, 1957, 19, 4404, 2491, 5010, 1766, 25465, 1573, 1160, 1327, 1132, 15469, 1048, 2643, 2122, 1323, 2528, 1309, 1857, 2643, 2281, 1456, 1184, 12617, 1452, 8027, 3703, 8530, 1187, 17100, 1068, 1026, 1428, 1006, 10091, 1060, 2042, 1159, 12449, 1096, 31638, 1096, 17731, 1068, 1026, 11350, 1060, 8172, 11444, 1049, 1859, 85, 10604, 79, 1219, 20, 16056, 1049, 8209, 1365, 1124, 5298, 1048, 1460, 1040, 1072, 5239, 1060, 11174, 1049, 1859, 85, 10604, 79, 1219, 1060, 12718, 4208, 21375, 1068, 1006, 15257, 1005, 1124, 5298, 7329, 13496, 1096, 1006, 6389, 1060, 10242, 1098, 16042, 1713, 1005, 1060, 13547, 1294, 10184, 3732, 23087, 5845, 1006, 1712, 1751, 1060, 8211, 1124, 5298, 21139, 1188, 1170, 1060, 5042, 4215, 1058, 2064, 24118, 1043, 14923, 1006, 1094, 5042, 23310, 5780, 7358, 17684, 1989, 9179, 1195, 3188, 3830, 10780, 1069, 3552, 4188, 20, 1084, 1026, 25589, 8199, 1325, 3179, 10543, 2979, 1060, 4008, 1009, 3603, 1271, 6535, 3732, 1005, 5629, 3963, 1728, 15369, 1132, 23213, 25465, 5430, 1048, 6011, 1006, 5741, 1009, 14837, 1322, 1124, 21430, 15987, 10678, 2905, 1005, 24193, 80, 3273, 1187, 4965, 6826, 4726, 1727, 1049, 3009, 17450, 6326, 1213, 2444, 1294, 3371, 1006, 12746, 1159, 1616, 5140, 1059, 20265, 3103, 1383, 1789, 8137, 89, 2841, 93, 83, 1096, 15591, 1005, 2566, 1009, 4320, 22433, 9877, 4088, 1063, 7669, 1187, 8609, 10514, 32, 1138, 4677, 1164, 24415, 13888, 21682, 30717, 2023, 1138, 3407, 4109, 1096, 1044, 11536, 23991, 1009, 1094, 17410, 1068, 1026, 21657, 25458, 2346, 1362, 2527, 1036, 2488, 24979, 1105, 21335, 1047, 15624, 3965, 20382, 8901, 1072, 3761, 1138, 2956, 1009, 6015, 2434, 1833, 20785, 4824, 1799, 2084, 2818, 64, 22259, 29631, 4483, 10536, 2443, 1073, 124, 45, 2321, 2545, 18068, 19173, 2978, 2555, 19286, 29546, 29083, 1312, 1759, 17983, 1876, 1940, 1092, 1171, 7861, 5575, 1045, 1678, 11054, 1049, 25465, 1876, 5, 5359, 12006, 1049, 3066, 5575, 9243, 1360, 2864, 19153, 1009, 6704, 2952, 1005, 3568, 12194, 1118, 2045, 5078, 2253, 10665, 1005, 6342, 1357, 12948, 2376, 1497, 6667, 1316, 5004, 79, 3021, 1304, 1009, 15884, 1005, 1006, 4840, 1009, 1044, 1561, 31556, 3528, 11725, 9006, 12741, 1057, 2756, 1648, 3129, 1049, 21343, 1213, 9066, 1224, 3733, 1005, 17129, 19423, 4355, 1029, 6705, 1026, 24615, 2208, 92, 1348, 12232, 1577, 21637, 3844, 1056, 1732, 1691, 1706, 1045, 1119, 162, 1270, 3883, 17725, 5777, 83, 2295, 5121, 11735, 13488, 1049, 5428, 19554, 1009, 18596, 1005, 6168, 1060, 16727, 31012, 1023, 1077, 82, 1758, 1233, 1224, 28678, 1005, 5089, 1533, 1012, 12983, 28244, 2555, 2222, 1054, 26166, 14892, 25521, 9181, 14892, 86, 73, 23423, 14892, 75, 17500, 14892, 72, 1405, 14892, 50, 1814, 1940, 1425, 1112, 2330, 2005, 1020, 26373, 1383, 17500, 1759, 17983, 1876, 1759, 1097, 2590, 1691, 5468, 11644, 23701, 1146, 1573, 27419, 1291, 7677, 5230, 12107, 4170, 1049, 7822, 1136, 40, 11632, 2830, 15, 1307, 2944, 27, 15016, 5988, 15551, 14030, 18822, 5134, 67, 1940, 1425, 1112, 20097, 2330, 2005, 29052, 7334, 2960, 85, 4264, 10260, 7466, 1175, 11090, 1362, 1420, 1797, 8560, 1175, 1764, 2434, 1175, 6203, 1175, 28123, 1559, 2944, 1404, 3541, 1839, 5, 9043, 1508, 9983, 1054, 2930, 2788, 1068, 3823, 1006, 3513, 1184, 6067, 4289, 20995, 1569, 12972, 1005, 14991, 6329, 7823, 4116, 12980, 1054, 14232, 1197, 1698, 1664, 4324, 1299, 21113, 1043, 1026, 2490, 1009, 30196, 2428, 1132, 7547, 11393, 1776, 2268, 1299, 1298, 9773, 3730, 21906, 1706, 2765, 1009, 9983, 8, 1068, 3823, 1044, 22977, 26527, 8018, 76, 1706, 2765, 1009, 23602, 39, 1197, 1698, 7027, 1691, 1056, 2694, 15712, 1940, 30551, 3576, 2063, 5464, 1009, 25227, 11933, 2788, 5471, 9983, 1068, 5275, 1006, 1224, 3513, 2097, 4067, 1665, 1356, 17042, 13038, 1400, 1132, 9983, 1048, 1327, 3521, 4142, 1166, 1159, 7979, 1327, 21420, 1072, 1235, 5016, 3858, 2340, 1327, 10956, 1068, 1026, 8542, 1271, 22039, 15839, 1049, 17042, 4685, 15011, 9983, 1009, 14656, 1048, 1294, 12807, 1006, 9066, 1005, 4966, 1159, 1299, 5471, 1668, 17042, 10497, 9983, 3775, 21420, 1054, 1235, 9740, 1657, 1043, 1026, 1235, 15712, 15277, 3713, 1318, 1225, 1006, 4169, 1009, 27160, 3530, 7547, 11393, 8335, 1006, 11046, 1112, 1009, 2088, 5473, 9983, 1298, 13584, 1224, 3513, 1009, 13031, 4355, 1440, 1918, 1940, 1440, 1918, 5640, 9983, 29218, 12807, 1006, 4855, 11465, 7395, 5129, 1159, 8748, 1026, 3284, 1049, 2788, 1054, 10539, 1009, 7271, 9226, 23367, 17320, 89, 1005, 1734, 3480, 1009, 14656, 28524, 20737, 17888, 20737, 5640, 9983, 1009, 4818, 1327, 6163, 11791, 2018, 4966, 1005, 9066, 1132, 3145, 14385, 1009, 4818, 1049, 13407, 1026, 1048, 3629, 1006, 3823, 1094, 1853, 3513, 1049, 3142, 1068, 1132, 9693, 1533, 8432, 13134, 6393, 1467, 8432, 13134, 6393, 1797, 4040, 2401, 3731, 12851, 1327, 6163, 11791, 2018, 4966, 1159, 1132, 9693, 1788, 6177, 1043, 1026, 17042, 10497, 9983, 12807, 1006, 3823, 2266, 1322, 1124, 30418, 1049, 2285, 1009, 4793, 5157, 5405, 1009, 18585, 20413, 4599, 1049, 11082, 22261, 4534, 2098, 1838, 1149, 20299, 1149, 5640, 9983, 1009, 14099, 1327, 6163, 11791, 2018, 3823, 1679, 9693, 13198, 1005, 12462, 1009, 7925, 12082, 20, 10497, 9983, 9030, 1648, 1132, 9693, 1054, 7458, 1005, 4726, 1046, 2266, 1068, 3823, 13198, 22795, 1704, 9657, 1605, 9657, 1605, 9657, 9983, 1160, 3521, 4142, 1166, 1327, 5224, 1048, 1826, 1847, 5365, 1166, 11791, 75, 1620, 1160, 1596, 16404, 1054, 1094, 4783, 2875, 1813, 1480, 2324, 1813, 1480, 5640, 9983, 7979, 1327, 16851, 10956, 1068, 1026, 8542, 11265, 1049, 17042, 10497, 9983, 25041, 22039, 15839, 1005, 3480, 1009, 3227, 1049, 13407, 1009, 1871, 27105, 11930, 1, 2858, 1187, 9511, 2309, 2688, 1132, 11872, 22803, 79, 1160, 1225, 1456, 3997, 30382, 1654, 27832, 2585, 1096, 1026, 6240, 1337, 1060, 2869, 1048, 1857, 2384, 1040, 1043, 1026, 22748, 1138, 2859, 3404, 23, 1060, 9015, 5092, 8944, 1132, 3997, 14647, 1480, 1322, 1124, 7450, 1048, 1132, 11872, 12568, 23179, 3842, 10353, 11837, 14647, 1480, 1233, 3548, 3927, 1046, 1124, 26493, 12499, 1049, 2490, 1009, 6672, 20730, 1009, 7450, 1118, 13274, 1048, 1160, 15284, 1046, 1043, 1026, 5449, 1159, 4336, 20, 9641, 1058, 13567, 1006, 2754, 8879, 8579, 16205, 1048, 5176, 1040, 30868, 18085, 1233, 14044, 2068, 1157, 1224, 4422, 1072, 2490, 17197, 1060, 12739, 1005, 1114, 4493, 9303, 1713, 22509, 1006, 16550, 1138, 23354, 1343, 1009, 10949, 1082, 4387, 71, 5523, 91, 3998, 1803, 2328, 1049, 14507, 23351, 1816, 2109, 2899, 9968, 150, 5568, 1089, 5030, 1103, 1065, 150, 1479, 19005, 21032, 17806, 1094, 16362, 626, 3210, 21566, 13180, 1026, 5085, 1679, 3997, 14647, 1480, 8579, 16205, 30191, 1006, 19100, 21060, 1187, 11872, 22803, 79, 1082, 4387, 1126, 1048, 16353, 6313, 1054, 4290, 1043, 4034, 1068, 1026, 3090, 1060, 3154, 1272, 15648, 1005, 12921, 1009, 1456, 4167, 25075, 12354, 2571, 1044, 11536, 1898, 34, 2995, 1466, 1024, 4449, 5640, 11872, 22803, 79, 1082, 4387, 71, 1160, 8571, 1412, 1043, 1124, 5105, 6657, 1124, 9021, 1273, 1132, 8654, 30382, 1654, 0, 1063, 3548, 1096, 1044, 3182, 1068, 1058, 3154, 1870, 1005, 1068, 3647, 3154, 1377, 2034, 6298, 1187, 22803, 79, 1082, 4387, 71, 1043, 1026, 3563, 1096, 1009, 10045, 1126, 10860, 1026, 9179, 18, 1054, 16784, 12441, 8745, 1068, 6313, 20, 8335, 1006, 4581, 1187, 3825, 2309, 4185, 91, 150, 1160, 3902, 1668, 9179, 18, 1005, 1160, 3631, 5233, 1026, 1082, 4387, 71, 1057, 9968, 3873, 1902, 1009, 1178, 22803, 79, 1082, 4387, 8392, 0, 1, 3204, 4241, 2845, 1054, 1984, 3413, 1054, 2079, 6630, 5052, 1114, 23840, 1049, 1428, 20990, 14319, 1009, 22326, 22594, 1060, 6661, 3092, 8152, 8410, 6873, 1067, 3624, 5343, 1516, 1044, 4472, 3222, 1909, 24152, 1048, 1058, 1821, 1379, 1213, 4241, 1210, 1182, 1065, 1291, 1005, 9846, 16711, 21560, 1054, 1984, 24, 3162, 1, 26697, 7495, 76, 32, 2858, 4467, 2934, 1169, 1029, 1407, 1599, 9500, 9224, 18, 5000, 5361, 1005, 28547, 1902, 94, 1667, 1482, 12563, 1126, 2979, 1049, 7978, 82, 1137, 1005, 29955, 15, 5505, 21037, 5735, 1530, 32, 1063, 4556, 1096, 1159, 1026, 17718, 4541, 3135, 1009, 1044, 2574, 1009, 12042, 12000, 2098, 1219, 1303, 1054, 4288, 32, 6040, 2814, 8258, 1006, 6685, 1096, 1493, 19228, 11132, 2246, 1160, 4319, 11198, 3150, 14429, 11637, 13148, 2263, 1165, 3139, 1206, 5836, 1202, 1500, 2314, 1009, 2252, 1124, 20907, 1309, 1783, 1048, 14046, 1046, 1006, 13914, 10423, 1060, 6685, 1566, 2476, 11809, 1048, 1837, 1493, 2009, 73, 1728, 121, 3106, 1012, 6325, 1387, 9894, 24172, 3382, 1054, 6866, 1006, 9881, 19909, 27179, 28872, 1424, 21656, 6040, 8822, 21504, 1064, 1965, 18731, 20806, 2679, 18, 19994, 2186, 2020, 1017, 1042, 33, 9252, 1033, 4027, 1409, 1475, 1129, 1660, 5177, 2498, 121, 8847, 20, 10358, 17652, 5659, 1308, 12594, 11538, 3228, 10552, 135, 1037, 2238, 1009, 7286, 1777, 2277, 1026, 2670, 1049, 3338, 1605, 2670, 1009, 4338, 1049, 16273, 15630, 19827, 2155, 5924, 1114, 4958, 5142, 0, 14179, 1094, 5576, 1233, 6761, 1112, 1009, 10996, 1049, 7453, 20225, 1046, 1754, 1068, 6467, 1130, 6040, 1189, 3256, 1114, 2290, 4345, 121, 1005, 6040, 73, 18612, 1130, 1068, 1026, 9616, 15242, 1365, 2089, 3469, 8333, 24576, 1048, 1006, 5576, 1244, 13489, 1006, 19768, 1187, 16446, 1300, 10843, 1733, 1087, 3890, 1114, 2290, 25661, 2656, 6105, 1026, 1244, 1781, 2564, 2670, 1663, 1044, 1403, 1041, 1303, 37, 675, 981, 981, 1759, 2507, 2587, 1009, 29583, 20299, 1140, 1118, 21480, 21037, 24153, 13790, 3403, 1559, 2394, 3977, 1383, 90, 21638, 32, 2844, 162, 4239, 7756, 2565, 1765, 27295, 1233, 5199, 4195, 1044, 1908, 6119, 8937, 1309, 675, 1368, 1872, 85, 21216, 5812, 32, 10814, 14773, 1044, 6737, 1691, 14528, 1184, 6907, 30276, 5530, 9597, 3635, 24794, 89, 13399, 32, 3275, 14773, 17320, 3106, 14662, 1308, 6201, 14442, 18799, 1069, 4093, 1255, 4980, 1026, 1240, 5505, 1021, 1438, 3564, 24688, 1304, 1271, 2332, 5505, 1021, 1758, 3528, 6522, 1759, 15709, 1304, 1009, 1106, 2118, 1060, 1144, 2363, 3391, 88, 1699, 1076, 31608, 1356, 4942, 6285, 1072, 3439, 1068, 1026, 2952, 1876, 1071, 8121, 72, 1308, 5182, 1811, 1112, 1271, 5132, 2681, 1392, 32, 6040, 1060, 19446, 1801, 1461, 18648, 3392, 1629, 1060, 9004, 1253, 1081, 1231, 6186, 18, 6040, 1060, 1801, 1461, 1048, 1006, 9004, 1253, 1081, 1231, 1325, 1006, 1869, 9555 ]

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

[ 1094, 2042, 5334, 8467, 1291, 1060, 3963, 3843, 1482, 1831, 8248, 1006, 5034, 1049, 15851, 11897, 1094, 10074, 2404, 1184, 3135, 1060, 27595, 1060, 3610, 1356, 1784, 2271, 1224, 4599, 3635, 10447, 5221, 1996, 1049, 16522, 1009, 6768, 2726, 1728, 3782, 3360, 11897, 1006, 1249, 1120, 2669, 18944, 1149, 1060, 2042, 8606, 1159, 5465, 11328, 1006, 4081, 1057, 2209, 21954, 1060, 17183, 72, 10933, 4208, 1085, 1024, 9902, 1291, 5613, 5376, 1114, 1834, 8606, 1294, 4679, 1782, 1910, 2864, 1005, 1592, 1463, 9078, 2256, 2601, 4650, 1327, 3056, 4810, 1068, 4207, 5174, 1312, 1118, 1044, 11650, 17262, 2997, 9902, 1291, 1009, 8172, 2290, 3300, 2223, 15460, 2643, 1006, 1419, 1043, 1006, 28806, 1060, 16401, 1009, 5625, 9270, 1580, 1118, 13832, 9790, 1005, 1160, 3300, 9363, 3915, 12563, 1126, 1006, 13010, 1049, 15851, 11359, 1044, 3202, 22894, 29822, 1068, 9280, 1006, 8172, 1060, 3610, 22460, 3720, 1294, 4351, 1318, 1044, 1238, 17233, 1079, 1370, 18401, 1029, 1068, 1006, 2042, 27949, 1063, 2042, 1096, 1006, 22084, 1060, 8172, 1080, 21518, 1049, 1859, 85, 10604, 79, 1219, 1118, 1734, 8326, 3915, 2277, 8248, 1006, 2360, 27833, 5334, 8467, 1291, 5465, 1342, 1006, 21152, 1365, 2042, 1005, 1124, 13835, 7959, 1005, 1201, 29011, 1132, 29247, 19855, 1322, 1058, 1006, 2042, 1096, 1206, 1160, 1094, 6644, 3915, 3078, 3478, 1687, 1294, 8757, 1167, 1233, 5939, 14421, 1060, 8172, 8606, 24713, 2309, 7962, 24618, 6345, 5783, 1048, 1096, 1006, 1009, 9280, 1132, 18956, 1009, 12449, 1365, 3028, 3610, 1005, 1235, 16664, 1005, 2930, 3603, 11184, 1322, 11249, 3782, 3901, 1663, 1124, 8155, 1048, 24979, 1381, 2275, 1766, 2373, 83, 3102, 1009, 2935, 4324, 11627, 1054, 3056, 23900, 1114, 4639, 1949, 5160, 1463, 19953, 18, 1005, 1114, 4422, 2952, 1479, 1309, 1318, 1072, 1622, 1047, 5051, 1479, 2643, 2281, 13636, 1068, 1006, 8172, 22460, 11595, 5272, 6481, 1159, 24979, 3675, 1411, 1160, 1058, 18685, 1005, 1160, 1058, 5036, 1118, 4384, 16201, 1728, 1764, 3638, 1009, 4031, 1005, 3680, 1054, 7653, 21933, 1048, 1857, 1160, 18926, 1460, 1435, 1005, 16203, 3188, 5247, 1309, 1160, 2730, 12446, 13906, 3136, 1124, 3606, 18674, 1114, 2042, 12201, 1318, 1294, 3245, 3685, 1233, 4033, 3489, 6740, 18, 1620, 1048, 2598, 5560, 1798, 5336, 1187, 1048, 2392, 1046, 1026, 4995, 32, 1006, 2373, 78, 3466, 3225, 8226, 2656, 1094, 2373, 78, 3466, 1009, 2289, 4324, 1309, 1006, 2042, 1159, 1094, 25480, 3207, 1020, 1519, 1054, 1048, 2252, 1124, 3638, 20440, 1826, 1957, 19, 4404, 2491, 5010, 1766, 25465, 1573, 1160, 1327, 1132, 15469, 1048, 2643, 2122, 1323, 2528, 1309, 1857, 2643, 2281, 1456, 1184, 12617, 1452, 8027, 3703, 8530, 1187, 17100, 1068, 1026, 1428, 1006, 10091, 1060, 2042, 1159, 12449, 1096, 31638, 1096, 17731, 1068, 1026, 11350, 1060, 8172, 11444, 1049, 1859, 85, 10604, 79, 1219, 20, 16056, 1049, 8209, 1365, 1124, 5298, 1048, 1460, 1040, 1072, 5239, 1060, 11174, 1049, 1859, 85, 10604, 79, 1219, 1060, 12718, 4208, 21375, 1068, 1006, 15257, 1005, 1124, 5298, 7329, 13496, 1096, 1006, 6389, 1060, 10242, 1098, 16042, 1713, 1005, 1060, 13547, 1294, 10184, 3732, 23087, 5845, 1006, 1712, 1751, 1060, 8211, 1124, 5298, 21139, 1188, 1170, 1060, 5042, 4215, 1058, 2064, 24118, 1043, 14923, 1006, 1094, 5042, 23310, 5780, 7358, 17684, 1989, 9179, 1195, 3188, 3830, 10780, 1069, 3552, 4188, 20, 1084, 1026, 25589, 8199, 1325, 3179, 10543, 2979, 1060, 4008, 1009, 3603, 1271, 6535, 3732, 1005, 5629, 3963, 1728, 15369, 1132, 23213, 25465, 5430, 1048, 6011, 1006, 5741, 1009, 14837, 1322, 1124, 21430, 15987, 10678, 2905, 1005, 24193, 80, 3273, 1187, 4965, 6826, 4726, 1727, 1049, 3009, 17450, 6326, 1213, 2444, 1294, 3371, 1006, 12746, 1159, 1616, 5140, 1059, 20265, 3103, 1383, 1789, 8137, 89, 2841, 93, 83, 1096, 15591, 1005, 2566, 1009, 4320, 22433, 9877, 4088, 1063, 7669, 1187, 8609, 10514, 32, 1138, 4677, 1164, 24415, 13888, 21682, 30717, 2023, 1138, 3407, 4109, 1096, 1044, 11536, 23991, 1009, 1094, 17410, 1068, 1026, 21657, 25458, 2346, 1362, 2527, 1036, 2488, 24979, 1105, 21335, 1047, 15624, 3965, 20382, 8901, 1072, 3761, 1138, 2956, 1009, 6015, 2434, 1833, 20785, 4824, 1799, 2084, 2818, 64, 22259, 29631, 4483, 10536, 2443, 1073, 124, 45, 2321, 2545, 18068, 19173, 2978, 2555, 19286, 29546, 29083, 1312, 1759, 17983, 1876, 1940, 1092, 1171, 7861, 5575, 1045, 1678, 11054, 1049, 25465, 1876, 5, 5359, 12006, 1049, 3066, 5575, 9243, 1360, 2864, 19153, 1009, 6704, 2952, 1005, 3568, 12194, 1118, 2045, 5078, 2253, 10665, 1005, 6342, 1357, 12948, 2376, 1497, 6667, 1316, 5004, 79, 3021, 1304, 1009, 15884, 1005, 1006, 4840, 1009, 1044, 1561, 31556, 3528, 11725, 9006, 12741, 1057, 2756, 1648, 3129, 1049, 21343, 1213, 9066, 1224, 3733, 1005, 17129, 19423, 4355, 1029, 6705, 1026, 24615, 2208, 92, 1348, 12232, 1577, 21637, 3844, 1056, 1732, 1691, 1706, 1045, 1119, 162, 1270, 3883, 17725, 5777, 83, 2295, 5121, 11735, 13488, 1049, 5428, 19554, 1009, 18596, 1005, 6168, 1060, 16727, 31012, 1023, 1077, 82, 1758, 1233, 1224, 28678, 1005, 5089, 1533, 1012, 12983, 28244, 2555, 2222, 1054, 26166, 14892, 25521, 9181, 14892, 86, 73, 23423, 14892, 75, 17500, 14892, 72, 1405, 14892, 50, 1814, 1940, 1425, 1112, 2330, 2005, 1020, 26373, 1383, 17500, 1759, 17983, 1876, 1759, 1097, 2590, 1691, 5468, 11644, 23701, 1146, 1573, 27419, 1291, 7677, 5230, 12107, 4170, 1049, 7822, 1136, 40, 11632, 2830, 15, 1307, 2944, 27, 15016, 5988, 15551, 14030, 18822, 5134, 67, 1940, 1425, 1112, 20097, 2330, 2005, 29052, 7334, 2960, 85, 4264, 10260, 7466, 1175, 11090, 1362, 1420, 1797, 8560, 1175, 1764, 2434, 1175, 6203, 1175, 28123, 1559, 2944, 1404, 3541, 1839, 5, 9043, 1508, 9983, 1054, 2930, 2788, 1068, 3823, 1006, 3513, 1184, 6067, 4289, 20995, 1569, 12972, 1005, 14991, 6329, 7823, 4116, 12980, 1054, 14232, 1197, 1698, 1664, 4324, 1299, 21113, 1043, 1026, 2490, 1009, 30196, 2428, 1132, 7547, 11393, 1776, 2268, 1299, 1298, 9773, 3730, 21906, 1706, 2765, 1009, 9983, 8, 1068, 3823, 1044, 22977, 26527, 8018, 76, 1706, 2765, 1009, 23602, 39, 1197, 1698, 7027, 1691, 1056, 2694, 15712, 1940, 30551, 3576, 2063, 5464, 1009, 25227, 11933, 2788, 5471, 9983, 1068, 5275, 1006, 1224, 3513, 2097, 4067, 1665, 1356, 17042, 13038, 1400, 1132, 9983, 1048, 1327, 3521, 4142, 1166, 1159, 7979, 1327, 21420, 1072, 1235, 5016, 3858, 2340, 1327, 10956, 1068, 1026, 8542, 1271, 22039, 15839, 1049, 17042, 4685, 15011, 9983, 1009, 14656, 1048, 1294, 12807, 1006, 9066, 1005, 4966, 1159, 1299, 5471, 1668, 17042, 10497, 9983, 3775, 21420, 1054, 1235, 9740, 1657, 1043, 1026, 1235, 15712, 15277, 3713, 1318, 1225, 1006, 4169, 1009, 27160, 3530, 7547, 11393, 8335, 1006, 11046, 1112, 1009, 2088, 5473, 9983, 1298, 13584, 1224, 3513, 1009, 13031, 4355, 1440, 1918, 1940, 1440, 1918, 5640, 9983, 29218, 12807, 1006, 4855, 11465, 7395, 5129, 1159, 8748, 1026, 3284, 1049, 2788, 1054, 10539, 1009, 7271, 9226, 23367, 17320, 89, 1005, 1734, 3480, 1009, 14656, 28524, 20737, 17888, 20737, 5640, 9983, 1009, 4818, 1327, 6163, 11791, 2018, 4966, 1005, 9066, 1132, 3145, 14385, 1009, 4818, 1049, 13407, 1026, 1048, 3629, 1006, 3823, 1094, 1853, 3513, 1049, 3142, 1068, 1132, 9693, 1533, 8432, 13134, 6393, 1467, 8432, 13134, 6393, 1797, 4040, 2401, 3731, 12851, 1327, 6163, 11791, 2018, 4966, 1159, 1132, 9693, 1788, 6177, 1043, 1026, 17042, 10497, 9983, 12807, 1006, 3823, 2266, 1322, 1124, 30418, 1049, 2285, 1009, 4793, 5157, 5405, 1009, 18585, 20413, 4599, 1049, 11082, 22261, 4534, 2098, 1838, 1149, 20299, 1149, 5640, 9983, 1009, 14099, 1327, 6163, 11791, 2018, 3823, 1679, 9693, 13198, 1005, 12462, 1009, 7925, 12082, 20, 10497, 9983, 9030, 1648, 1132, 9693, 1054, 7458, 1005, 4726, 1046, 2266, 1068, 3823, 13198, 22795, 1704, 9657, 1605, 9657, 1605, 9657, 9983, 1160, 3521, 4142, 1166, 1327, 5224, 1048, 1826, 1847, 5365, 1166, 11791, 75, 1620, 1160, 1596, 16404, 1054, 1094, 4783, 2875, 1813, 1480, 2324, 1813, 1480, 5640, 9983, 7979, 1327, 16851, 10956, 1068, 1026, 8542, 11265, 1049, 17042, 10497, 9983, 25041, 22039, 15839, 1005, 3480, 1009, 3227, 1049, 13407, 1009, 1871, 27105, 11930, 1, 2858, 1187, 9511, 2309, 2688, 1132, 11872, 22803, 79, 1160, 1225, 1456, 3997, 30382, 1654, 27832, 2585, 1096, 1026, 6240, 1337, 1060, 2869, 1048, 1857, 2384, 1040, 1043, 1026, 22748, 1138, 2859, 3404, 23, 1060, 9015, 5092, 8944, 1132, 3997, 14647, 1480, 1322, 1124, 7450, 1048, 1132, 11872, 12568, 23179, 3842, 10353, 11837, 14647, 1480, 1233, 3548, 3927, 1046, 1124, 26493, 12499, 1049, 2490, 1009, 6672, 20730, 1009, 7450, 1118, 13274, 1048, 1160, 15284, 1046, 1043, 1026, 5449, 1159, 4336, 20, 9641, 1058, 13567, 1006, 2754, 8879, 8579, 16205, 1048, 5176, 1040, 30868, 18085, 1233, 14044, 2068, 1157, 1224, 4422, 1072, 2490, 17197, 1060, 12739, 1005, 1114, 4493, 9303, 1713, 22509, 1006, 16550, 1138, 23354, 1343, 1009, 10949, 1082, 4387, 71, 5523, 91, 3998, 1803, 2328, 1049, 14507, 23351, 1816, 2109, 2899, 9968, 150, 5568, 1089, 5030, 1103, 1065, 150, 1479, 19005, 21032, 17806, 1094, 16362, 626, 3210, 21566, 13180, 1026, 5085, 1679, 3997, 14647, 1480, 8579, 16205, 30191, 1006, 19100, 21060, 1187, 11872, 22803, 79, 1082, 4387, 1126, 1048, 16353, 6313, 1054, 4290, 1043, 4034, 1068, 1026, 3090, 1060, 3154, 1272, 15648, 1005, 12921, 1009, 1456, 4167, 25075, 12354, 2571, 1044, 11536, 1898, 34, 2995, 1466, 1024, 4449, 5640, 11872, 22803, 79, 1082, 4387, 71, 1160, 8571, 1412, 1043, 1124, 5105, 6657, 1124, 9021, 1273, 1132, 8654, 30382, 1654, 0, 1063, 3548, 1096, 1044, 3182, 1068, 1058, 3154, 1870, 1005, 1068, 3647, 3154, 1377, 2034, 6298, 1187, 22803, 79, 1082, 4387, 71, 1043, 1026, 3563, 1096, 1009, 10045, 1126, 10860, 1026, 9179, 18, 1054, 16784, 12441, 8745, 1068, 6313, 20, 8335, 1006, 4581, 1187, 3825, 2309, 4185, 91, 150, 1160, 3902, 1668, 9179, 18, 1005, 1160, 3631, 5233, 1026, 1082, 4387, 71, 1057, 9968, 3873, 1902, 1009, 1178, 22803, 79, 1082, 4387, 8392, 0, 1, 3204, 4241, 2845, 1054, 1984, 3413, 1054, 2079, 6630, 5052, 1114, 23840, 1049, 1428, 20990, 14319, 1009, 22326, 22594, 1060, 6661, 3092, 8152, 8410, 6873, 1067, 3624, 5343, 1516, 1044, 4472, 3222, 1909, 24152, 1048, 1058, 1821, 1379, 1213, 4241, 1210, 1182, 1065, 1291, 1005, 9846, 16711, 21560, 1054, 1984, 24, 3162, 1, 26697, 7495, 76, 32, 2858, 4467, 2934, 1169, 1029, 1407, 1599, 9500, 9224, 18, 5000, 5361, 1005, 28547, 1902, 94, 1667, 1482, 12563, 1126, 2979, 1049, 7978, 82, 1137, 1005, 29955, 15, 5505, 21037, 5735, 1530, 32, 1063, 4556, 1096, 1159, 1026, 17718, 4541, 3135, 1009, 1044, 2574, 1009, 12042, 12000, 2098, 1219, 1303, 1054, 4288, 32, 6040, 2814, 8258, 1006, 6685, 1096, 1493, 19228, 11132, 2246, 1160, 4319, 11198, 3150, 14429, 11637, 13148, 2263, 1165, 3139, 1206, 5836, 1202, 1500, 2314, 1009, 2252, 1124, 20907, 1309, 1783, 1048, 14046, 1046, 1006, 13914, 10423, 1060, 6685, 1566, 2476, 11809, 1048, 1837, 1493, 2009, 73, 1728, 121, 3106, 1012, 6325, 1387, 9894, 24172, 3382, 1054, 6866, 1006, 9881, 19909, 27179, 28872, 1424, 21656, 6040, 8822, 21504, 1064, 1965, 18731, 20806, 2679, 18, 19994, 2186, 2020, 1017, 1042, 33, 9252, 1033, 4027, 1409, 1475, 1129, 1660, 5177, 2498, 121, 8847, 20, 10358, 17652, 5659, 1308, 12594, 11538, 3228, 10552, 135, 1037, 2238, 1009, 7286, 1777, 2277, 1026, 2670, 1049, 3338, 1605, 2670, 1009, 4338, 1049, 16273, 15630, 19827, 2155, 5924, 1114, 4958, 5142, 0, 14179, 1094, 5576, 1233, 6761, 1112, 1009, 10996, 1049, 7453, 20225, 1046, 1754, 1068, 6467, 1130, 6040, 1189, 3256, 1114, 2290, 4345, 121, 1005, 6040, 73, 18612, 1130, 1068, 1026, 9616, 15242, 1365, 2089, 3469, 8333, 24576, 1048, 1006, 5576, 1244, 13489, 1006, 19768, 1187, 16446, 1300, 10843, 1733, 1087, 3890, 1114, 2290, 25661, 2656, 6105, 1026, 1244, 1781, 2564, 2670, 1663, 1044, 1403, 1041, 1303, 37, 675, 981, 981, 1759, 2507, 2587, 1009, 29583, 20299, 1140, 1118, 21480, 21037, 24153, 13790, 3403, 1559, 2394, 3977, 1383, 90, 21638, 32, 2844, 162, 4239, 7756, 2565, 1765, 27295, 1233, 5199, 4195, 1044, 1908, 6119, 8937, 1309, 675, 1368, 1872, 85, 21216, 5812, 32, 10814, 14773, 1044, 6737, 1691, 14528, 1184, 6907, 30276, 5530, 9597, 3635, 24794, 89, 13399, 32, 3275, 14773, 17320, 3106, 14662, 1308, 6201, 14442, 18799, 1069, 4093, 1255, 4980, 1026, 1240, 5505, 1021, 1438, 3564, 24688, 1304, 1271, 2332, 5505, 1021, 1758, 3528, 6522, 1759, 15709, 1304, 1009, 1106, 2118, 1060, 1144, 2363, 3391, 88, 1699, 1076, 31608, 1356, 4942, 6285, 1072, 3439, 1068, 1026, 2952, 1876, 1071, 8121, 72, 1308, 5182, 1811, 1112, 1271, 5132, 2681, 1392, 32, 6040, 1060, 19446, 1801, 1461, 18648, 3392, 1629, 1060, 9004, 1253, 1081, 1231, 6186, 18, 6040, 1060, 1801, 1461, 1048, 1006, 9004, 1253, 1081, 1231, 1325, 1006, 1869, 9555 ]

[ 1187, 11460, 30566, 1048, 1006, 2265, 1202, 1178, 1026, 6522, 5923, 1009, 5256, 6215, 1353, 2652, 1063, 10647, 8808, 1009, 19457, 18534, 7429, 1005, 1006, 2935, 1060, 5187, 3661, 1044, 7568, 1047, 26950, 17238, 2745, 3793, 1193, 22504, 1160, 4713, 1663, 1044, 21207, 1100, 9454, 1213, 2285, 26387, 1114, 12398, 6745, 20003, 6934, 1054, 1006, 1130, 6749, 1072, 7835, 4110, 1271, 3145, 10900, 1009, 7661, 1005, 8982, 89, 6563, 2565, 1005, 1072, 2285, 1782, 1114, 1106, 1529, 1245, 1253, 22654, 6227, 3114, 9927, 1723, 20, 675, 1063, 5187, 1160, 3134, 1044, 18732, 12985, 1068, 1006, 8322, 1072, 2268, 1195, 25479, 2328, 1009, 2754, 12749, 1213, 16019, 2966, 1356, 12464, 29358, 1005, 2045, 16786, 3626, 9139, 5339, 3131, 3367, 7197, 5444, 1006, 5187, 1986, 1224, 12717, 3270, 1046, 2498, 4765, 18688, 1336, 2997, 1006, 2618, 1009, 4032, 1259, 1024, 1569, 22231, 8751, 2447, 1005, 3647, 1124, 6831, 2100, 17665, 1973, 1048, 1026, 3284, 1064, 31188, 1096, 1094, 4380, 1009, 18618, 1005, 3291, 1026, 1048, 1663, 1511, 2637, 4145, 8857, 20, 12355, 1096, 4445, 3659, 1322, 2073, 1048, 2374, 1026, 1235, 30265, 1298, 1178, 1406, 1919, 16550, 1138, 3489, 3987, 5187, 1096, 2951, 2398, 1112, 1096, 9215, 1309, 1503, 1160, 4540, 1011, 11969, 1006, 1616, 2855, 3735, 7468, 1140, 1058, 1124, 9099, 1596, 1006, 5085, 1009, 1044, 2863, 1043, 1006, 4373, 2154, 19457, 28827, 11363, 1160, 3100, 1094, 21437, 2954, 1065, 2339, 1026, 1048, 1160, 1096, 1026, 1048, 1058, 1211, 2528, 1096, 1657, 1094, 21716, 27043, 20, 15560, 1784, 1225, 2637, 1048, 1857, 1327, 17569, 3259, 1054, 1048, 1857, 1693, 1663, 1305, 1054, 1224, 5297, 1992, 1048, 3012, 1178, 1322, 2073, 3616, 1048, 1096, 1235, 30265, 15007, 5187, 1096, 7948, 1118, 1044, 7204, 22689, 1048, 5471, 1006, 12345, 1159, 1094, 21716, 27043, 1068, 1044, 7246, 1005, 11213, 1054, 6019, 1060, 2618, 3598, 17497, 3952, 1005, 1503, 3074, 1998, 72, 1199, 2100, 1063, 5187, 1096, 7948, 1114, 5773, 5923, 1009, 27695, 1712, 1005, 2947, 1054, 1287, 4381, 1009, 1557, 15179, 1043, 1044, 23326, 12919, 19130, 8282, 1009, 10706, 26460, 1118, 8122, 1667, 1424, 1709, 1157, 18516, 18, 26429, 1118, 1044, 24253, 1048, 11902, 1006, 5187, 9445, 3664, 1380, 18067, 2703, 31450, 1060, 3688, 1848, 20902, 1228, 1999, 1063, 5187, 1225, 2916, 1009, 2848, 4686, 1068, 8236, 1026, 1235, 1373, 162, 12214, 1009, 14688, 13944, 17680, 2502, 8134, 1322, 1132, 9918, 19457, 18534, 1617, 2265, 3793, 1193, 22504, 1159, 1224, 5187, 29957, 1049, 5804, 5256, 6215, 1353, 1870, 1005, 13679, 32, 2951, 2423, 1096, 3179, 5065, 84, 2622, 3336, 3713, 1998, 1058, 4082, 1028, 7149, 1687, 1096, 2072, 5350, 9561, 8, 8023, 14574, 1257, 2202, 1020, 7082, 1846, 1009, 6234, 17316, 27445, 1021, 8, 1261, 2281, 17046, 1068, 1124, 2957, 74, 4261, 1006, 14074, 10127, 9704, 1048, 1006, 1123, 7521, 13415, 1836, 27558, 1006, 5187, 1271, 2957, 74, 4261, 2340, 1160, 1836, 1058, 8773, 1157, 14515, 675, 1138, 11467, 1009, 2423, 12398, 9923, 1054, 3727, 1009, 3370, 1009, 8683, 1048, 3793, 1193, 22504, 2909, 3941, 1159, 1026, 2277, 6096, 1049, 5256, 6215, 1353, 1870, 1005, 13679, 1048, 1006, 8322, 1054, 8198, 1043, 6234, 17316, 27445, 1021, 1406, 1195, 1094, 3593, 13429, 1068, 12242, 6355, 19457, 18534, 1617, 1009, 2922, 1124, 23252, 20, 3126, 9094, 9966, 1068, 1006, 2778, 7039, 10792, 14434, 14645, 1054, 1782, 1009, 3353, 1009, 8683, 1118, 2191, 1009, 1094, 9050, 1009, 6612, 9927, 8382, 2966, 1094, 6116, 1060, 5187, 1970, 5780, 1068, 8090, 1054, 23252, 21772, 1357, 7799, 23612, 57, 1193, 22504, 3661, 8181, 24203, 11791, 1131, 11460, 1009, 8322, 1043, 2653, 12474, 5291, 1159, 1044, 1187, 3328, 9789, 1049, 3077, 5256, 6215, 1353, 2652, 1138, 8497, 12383, 3968, 1736, 1060, 5623, 12669, 20186, 3351, 14957, 3360, 6234, 17316, 27445, 1021, 8, 1159, 3793, 1193, 22504, 1847, 6373, 1040, 1518, 3365, 1102, 8, 1005, 5083, 12949, 1068, 5635, 19398, 2100, 1482, 1224, 10510, 1009, 5256, 6215, 1353, 1870, 22681, 9422, 1060, 1809, 95, 3016, 24313, 5444, 1048, 2097, 1150, 1538, 46, 3841, 13, 1225, 1094, 8547, 1086, 2622, 1961, 8233, 1043, 3282, 1006, 1456, 1963, 20766, 14409, 1193, 1014, 13, 8798, 1371, 1043, 1094, 1499, 4372, 16952, 1377, 1063, 21033, 20025, 3854, 1736, 1049, 3761, 5414, 2045, 17062, 4643, 75, 17554, 32, 7732, 1219, 1089, 1054, 14409, 1193, 1014, 13, 1159, 1006, 1538, 1292, 1231, 5046, 13, 1049, 3077, 1655, 24590, 6215, 15090, 7113, 7568, 6063, 5291, 1159, 8701, 3957, 1009, 2277, 1853, 4818, 8808, 2100, 4948, 18798, 17482, 1009, 6745, 41, 88, 6488, 14957, 3793, 1193, 22504, 1159, 2750, 1853, 5187, 1009, 19457, 18534, 7429, 3326, 1157, 2464, 4850, 1009, 1261, 12374, 1044, 4818, 9498, 5083, 4348, 1194, 1406, 1006, 2423, 1620, 1096, 15412, 1271, 8696, 1184, 2572, 1580, 2309, 7886, 1009, 19457, 18534, 1617, 8, 1005, 6895, 1026, 23728, 1017, 1006, 29669, 20737, 10082, 2432, 1526, 6607, 1672, 9099, 4551, 1708, 1005, 1006, 2935, 1049, 28334, 28083, 4249, 2072, 6619, 8523, 1048, 1494, 2634, 1068, 1006, 4005, 1655, 1196, 7197, 67, 1622, 19620, 2855, 4276, 1029, 6403, 19458, 8871, 1060, 14941, 1120, 24313, 1973, 1048, 3793, 1193, 22504, 1096, 1094, 29990, 24004, 4447, 1140, 1406, 2097, 6525, 17920, 1049, 11467, 2642, 2703, 2592, 14957, 1044, 1187, 3460, 8696, 1009, 5256, 6215, 1353, 2652, 12539, 5812, 1118, 2625, 3948, 1060, 2759, 1009, 1067, 2171, 17454, 23677, 1031, 7568, 13596, 1006, 5187, 20, 2494, 1944, 6621, 18, 23395, 1009, 26310, 1785, 1973, 1048, 1006, 2423, 1160, 1516, 12717, 1271, 2957, 74, 4261, 1309, 13236, 1048, 23409, 150, 1493, 1680, 8088, 80, 2166, 3027, 1054, 16619, 1765, 4536, 82, 2445, 11791, 11424, 20514, 6816, 1005, 1094, 7640, 10647, 8808, 2855, 2494, 2750, 6621, 18, 1574, 3496, 1253, 4264, 15709, 5444, 1048, 3793, 1193, 22504, 1096, 15412, 1271, 10486, 8696, 1072, 3077, 5256, 6215, 1353, 1870, 1571, 19457, 18534, 1617, 2947, 6774, 1140, 1043, 1224, 18184, 6607, 1672, 3587, 2246, 1072, 1852, 1687, 1058, 1638, 1076, 1005, 4145, 1094, 1271, 3460, 20778, 1009, 1224, 14382, 5700, 1791, 1206, 1184, 4686, 1009, 2540, 19447, 1006, 5018, 24515, 1574, 8050, 14469, 1060, 12398, 20879, 3793, 1193, 22504, 1159, 1044, 6096, 1048, 2909, 14816, 19, 3213, 94, 1031, 1526, 1009, 19457, 18534, 7429, 1048, 8174, 73, 1648, 3621, 1159, 1044, 7355, 1009, 8861, 1162, 8, 6384, 2905, 7849, 10401, 16315, 1118, 19457, 18534, 1617, 24504, 1009, 4187, 12806, 1009, 1865, 7204, 24504, 12768, 1357, 1123, 7521, 13415, 1, 23705, 1747, 1009, 10348, 1096, 1094, 31363, 3888, 1009, 19738, 1005, 13700, 1048, 1058, 11089, 2691, 17853, 1009, 2079, 1046, 5696, 26231, 1069, 82, 14722, 2981, 8034, 1005, 2152, 2681, 3942, 10474, 2263, 1185, 23228, 31009, 1371, 1009, 2182, 23, 2727, 4261, 1043, 1094, 2779, 3225, 1009, 20241, 0, 17936, 13515, 2561, 1076, 10188, 1114, 1224, 1712, 12721, 1009, 6941, 2727, 4261, 1043, 1365, 3114, 1005, 9018, 4231, 3818, 2310, 1537, 1257, 1257, 28344, 19358, 1009, 19738, 1005, 13700, 1, 1063, 16716, 9073, 12203, 7302, 1720, 3092, 1054, 4431, 1096, 3391, 26530, 21411, 1546, 19998, 9268, 3777, 1672, 1096, 1044, 6859, 18623, 17354, 1357, 8699, 8398, 13169, 1145, 1049, 17468, 1118, 12055, 1233, 5389, 12555, 2378, 1656, 3259, 1537, 3430, 7560, 1175, 16941, 3399, 19647, 23635, 3990, 1175, 6182, 1063, 91, 93, 1248, 5961, 1254, 1175, 5569, 30069, 5961, 12599, 1175, 21927, 4568, 1034, 6080, 2796, 79, 5961, 12275, 1175, 4687, 15046, 77, 2914, 5961, 13290, 1175, 4913, 9565, 9129, 1205, 1185, 1045, 5961, 13367, 1175, 12117, 8628, 1073, 20483, 1253, 5961, 13308, 1175, 7413, 4687, 9396, 5961, 2830, 1175, 6001, 5226, 1441, 25553, 5961, 3612, 1175, 16398, 1093, 1344, 1241, 1133, 4938, 5961, 3502, 1175, 1766, 81, 1024, 11793, 1321, 1037, 5961, 3452, 1175, 4687, 11422, 2890, 5189, 22274, 5961, 3487, 1175, 7413, 2231, 5343, 95, 20937, 5961, 3665, 1175, 12117, 31066, 1528, 5961, 1404, 1175, 28033, 4687, 8146, 5961, 2337, 1175, 6001, 3840, 31778, 1013, 2430, 3309, 1074, 5961, 2708, 1175, 4321, 31218, 1617, 5961, 3459, 1175, 10924, 3474, 6538, 1302, 5961, 3531, 1175, 6182, 26911, 2611, 74, 5112, 5961, 3413, 1175, 9893, 1144, 2641, 1020, 25412, 5961, 3876, 1175, 5542, 23771, 1063, 1041, 11804, 5961, 3851, 1175, 28395, 9792, 4365, 4213, 5961, 3989, 1175, 12843, 25982, 11903, 89, 5961, 4059, 1175, 4321, 4568, 1723, 14258, 5961, 2721, 1175, 8722, 16774, 5961, 5940, 1175, 3968, 1040, 1009, 1067, 25535, 5961, 5784, 1175, 3753, 26911, 2861, 11080, 3979, 5961, 4406, 1175, 9129, 4371, 2903, 1014, 5961, 4990, 1175, 21299, 1134, 2456, 5343, 5961, 4673, 1175, 1205, 9439, 6088, 15663, 14941, 1192, 2048, 5961, 4994, 1175, 1594, 1498, 27176, 2152, 1093, 1358, 4213, 5961, 4943, 1175, 1084, 80, 84, 1024, 1207, 1396, 96, 3096, 88, 4000, 5961, 5963, 1175, 2611, 9902, 20271, 2057, 21454, 5352, 5961, 5235, 1175, 4206, 3824, 5798, 86, 4190, 5961, 3949, 1175, 8366, 21938, 6757, 4190, 1603, 7498, 5961, 8037, 1175, 24655, 3183, 16761, 2914, 5961, 8121, 1175, 8214, 23229, 18783, 1138, 1997, 5961, 4368, 1175, 12117, 6182, 3844, 1692, 5961, 6259, 1175, 2976, 9487, 22475, 5961, 5871, 1175, 14648, 12412, 1252, 5961, 6507, 1175, 27176, 1809, 1237, 1167, 5961, 5900, 1175, 4206, 3333, 2478, 26398, 14078, 5961, 2704, 1175, 21299, 30546, 24829, 5961, 14392, 1175, 15596, 2819, 1925, 1396, 5961, 12580, 1175, 5495, 1007, 78, 1736, 20333, 4006, 1037, 1007, 1117, 81, 2705, 5961, 10301, 1175, 4206, 3333, 1119, 3340, 12326, 1066, 3084, 5961, 10701, 1175, 15934, 1061, 14038, 1245, 1019, 5961, 5003, 1175, 12843, 3474, 1430, 5961, 9621, 1175, 4691, 1013, 20941, 1228, 1269, 171, 4098, 5961, 10344, 1175, 11692, 2478, 1007, 2934, 9617, 1051, 5961, 9595, 1175, 4687, 13923, 20767, 5961, 6955, 1175, 1106, 4189, 90, 1809, 88, 171, 83, 77, 3180, 5961, 4160, 1175, 24976, 1922, 4891, 1218, 89, 1036, 1423, 5961, 14525, 1175, 18082, 7848, 2819, 27254, 11986, 5961, 11605, 1175, 12593, 1133, 11967, 1014, 5961, 9132, 1175, 1067, 3930, 2529, 7308, 19911, 1078, 1617, 5961, 4655, 1175, 27176, 1207, 4529, 9565, 5961, 5562, 1175, 7612, 4568, 22401, 96, 7790, 3719, 5961, 5861, 1175, 20464, 81, 1106, 1792, 13668, 5961, 6991, 1175, 28272, 1106, 3448, 9565, 5961, 7795, 1175, 3968, 1040, 16398, 2397, 95, 8328, 5961, 6795, 1175, 18306, 1197, 19710, 3355, 12326, 1066, 3084, 5961, 4700, 1175, 8366, 4717, 4518, 5961, 13113, 1175, 31485, 8485, 1528, 11279, 9424, 5961, 8360, 1175, 1156, 1010, 1174, 3492, 81, 82, 7348, 95, 5961, 8694, 1175, 12412, 1736, 2478, 8165, 1014, 5961, 7678, 1175, 7612, 1123, 4518, 5961, 5515, 1175, 27828, 1587, 94, 8781, 2694, 5961, 6418, 1175, 16725, 1042, 31476, 86, 2145, 5961, 5248, 1175, 14090, 1106, 1816, 5961, 5988, 1175, 23229, 18783, 6504, 6655, 1045, 10325, 1009, 1207, 1075, 1042, 5961, 6101, 1175, 4687, 21299, 1134, 2456, 5343, 5961, 3663, 1175, 7413, 4913, 72, 1122, 5961, 12445, 1175, 17338, 2435, 1136, 1163, 28564, 1469, 79, 5961, 10703, 1175, 28153, 1106, 8049, 23128, 5961, 8053, 1175, 1180, 1956, 1220, 7495, 1136, 92, 2628, 5961, 5205, 1175, 2458, 1021, 1574, 4699, 2657, 13923, 5961, 4705, 1175, 7034, 7413, 29744, 7716, 5961, 4829, 1175, 8366, 5347, 1192, 6055, 5961, 4969, 1175, 2611, 9902, 28033, 2915, 86, 3685, 5961, 4325, 1175, 3753, 1163, 14554, 4387, 4111, 2359, 5961, 4754, 1175, 15724, 1056, 15409, 2363, 93, 5961, 4332, 1175, 25751, 20859, 1067, 25535, 3351, 5961, 12730, 1175, 14902, 12117, 1138, 7473, 6041, 3084, 5961, 11748, 1175, 2613, 1218, 1051, 4568, 24747, 90, 5961, 11548, 1175, 7612, 1587, 1018, 5961, 10997, 1175, 11422, 2890, 1067, 3562, 1032, 5961, 7777, 1175, 6669, 2929, 75, 27875, 5961, 9742, 1175, 13793, 21561, 5797, 5961, 10254, 1175, 15001, 2662, 31078, 5961, 7560, 1175, 14902, 12412, 1037, 1051, 4314, 2057, 5961, 3990, 1175, 3477, 6655, 11120, 1106, 8049, 23128, 11740, 22, 1175, 1123, 2690, 1038, 12794, 5785, 1367, 11740, 23, 1175, 16825, 14245, 1208, 11740, 24, 1175, 2695, 78, 74, 1056, 8689, 11224, 209, 3169, 9442, 2102, 25, 1175, 17866, 10056, 1021, 11740, 26, 1175, 1574, 6488, 2060, 14600, 2690, 9442, 2102, 27, 1175, 5542, 1344, 12853, 11740, 28, 1175, 4321, 6669, 22554, 11740, 29, 1175, 7612, 4206, 5146, 11740, 30, 1175, 15556, 5202, 10325, 3797, 15481, 78, 11740, 31, 1175, 4321, 3492, 91, 13389, 1839, 1175, 5464, 74, 16290, 77, 1375, 2363, 1014, 12039, 23, 1175, 26232, 1034, 78, 2976, 1138, 1042, 1092, 5378, 12039, 24, 1175, 26406, 9535, 1014, 12039, 25, 1175, 6669, 1163, 8824, 12039, 26, 1175, 12833, 3930, 1344, 17958, 9565, 12039, 27, 1175, 18772, 9633, 12039, 28, 1175, 16882, 9535, 1423, 12039, 29, 1175, 31296, 8735, 7465, 12039, 30, 1175, 5401, 1207, 4529, 1736, 13389, 1442, 1175, 4191, 1107, 26195, 1034, 14600, 7308, 1110 ]

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

[ 1187, 11460, 30566, 1048, 1006, 2265, 1202, 1178, 1026, 6522, 5923, 1009, 5256, 6215, 1353, 2652, 1063, 10647, 8808, 1009, 19457, 18534, 7429, 1005, 1006, 2935, 1060, 5187, 3661, 1044, 7568, 1047, 26950, 17238, 2745, 3793, 1193, 22504, 1160, 4713, 1663, 1044, 21207, 1100, 9454, 1213, 2285, 26387, 1114, 12398, 6745, 20003, 6934, 1054, 1006, 1130, 6749, 1072, 7835, 4110, 1271, 3145, 10900, 1009, 7661, 1005, 8982, 89, 6563, 2565, 1005, 1072, 2285, 1782, 1114, 1106, 1529, 1245, 1253, 22654, 6227, 3114, 9927, 1723, 20, 675, 1063, 5187, 1160, 3134, 1044, 18732, 12985, 1068, 1006, 8322, 1072, 2268, 1195, 25479, 2328, 1009, 2754, 12749, 1213, 16019, 2966, 1356, 12464, 29358, 1005, 2045, 16786, 3626, 9139, 5339, 3131, 3367, 7197, 5444, 1006, 5187, 1986, 1224, 12717, 3270, 1046, 2498, 4765, 18688, 1336, 2997, 1006, 2618, 1009, 4032, 1259, 1024, 1569, 22231, 8751, 2447, 1005, 3647, 1124, 6831, 2100, 17665, 1973, 1048, 1026, 3284, 1064, 31188, 1096, 1094, 4380, 1009, 18618, 1005, 3291, 1026, 1048, 1663, 1511, 2637, 4145, 8857, 20, 12355, 1096, 4445, 3659, 1322, 2073, 1048, 2374, 1026, 1235, 30265, 1298, 1178, 1406, 1919, 16550, 1138, 3489, 3987, 5187, 1096, 2951, 2398, 1112, 1096, 9215, 1309, 1503, 1160, 4540, 1011, 11969, 1006, 1616, 2855, 3735, 7468, 1140, 1058, 1124, 9099, 1596, 1006, 5085, 1009, 1044, 2863, 1043, 1006, 4373, 2154, 19457, 28827, 11363, 1160, 3100, 1094, 21437, 2954, 1065, 2339, 1026, 1048, 1160, 1096, 1026, 1048, 1058, 1211, 2528, 1096, 1657, 1094, 21716, 27043, 20, 15560, 1784, 1225, 2637, 1048, 1857, 1327, 17569, 3259, 1054, 1048, 1857, 1693, 1663, 1305, 1054, 1224, 5297, 1992, 1048, 3012, 1178, 1322, 2073, 3616, 1048, 1096, 1235, 30265, 15007, 5187, 1096, 7948, 1118, 1044, 7204, 22689, 1048, 5471, 1006, 12345, 1159, 1094, 21716, 27043, 1068, 1044, 7246, 1005, 11213, 1054, 6019, 1060, 2618, 3598, 17497, 3952, 1005, 1503, 3074, 1998, 72, 1199, 2100, 1063, 5187, 1096, 7948, 1114, 5773, 5923, 1009, 27695, 1712, 1005, 2947, 1054, 1287, 4381, 1009, 1557, 15179, 1043, 1044, 23326, 12919, 19130, 8282, 1009, 10706, 26460, 1118, 8122, 1667, 1424, 1709, 1157, 18516, 18, 26429, 1118, 1044, 24253, 1048, 11902, 1006, 5187, 9445, 3664, 1380, 18067, 2703, 31450, 1060, 3688, 1848, 20902, 1228, 1999, 1063, 5187, 1225, 2916, 1009, 2848, 4686, 1068, 8236, 1026, 1235, 1373, 162, 12214, 1009, 14688, 13944, 17680, 2502, 8134, 1322, 1132, 9918, 19457, 18534, 1617, 2265, 3793, 1193, 22504, 1159, 1224, 5187, 29957, 1049, 5804, 5256, 6215, 1353, 1870, 1005, 13679, 32, 2951, 2423, 1096, 3179, 5065, 84, 2622, 3336, 3713, 1998, 1058, 4082, 1028, 7149, 1687, 1096, 2072, 5350, 9561, 8, 8023, 14574, 1257, 2202, 1020, 7082, 1846, 1009, 6234, 17316, 27445, 1021, 8, 1261, 2281, 17046, 1068, 1124, 2957, 74, 4261, 1006, 14074, 10127, 9704, 1048, 1006, 1123, 7521, 13415, 1836, 27558, 1006, 5187, 1271, 2957, 74, 4261, 2340, 1160, 1836, 1058, 8773, 1157, 14515, 675, 1138, 11467, 1009, 2423, 12398, 9923, 1054, 3727, 1009, 3370, 1009, 8683, 1048, 3793, 1193, 22504, 2909, 3941, 1159, 1026, 2277, 6096, 1049, 5256, 6215, 1353, 1870, 1005, 13679, 1048, 1006, 8322, 1054, 8198, 1043, 6234, 17316, 27445, 1021, 1406, 1195, 1094, 3593, 13429, 1068, 12242, 6355, 19457, 18534, 1617, 1009, 2922, 1124, 23252, 20, 3126, 9094, 9966, 1068, 1006, 2778, 7039, 10792, 14434, 14645, 1054, 1782, 1009, 3353, 1009, 8683, 1118, 2191, 1009, 1094, 9050, 1009, 6612, 9927, 8382, 2966, 1094, 6116, 1060, 5187, 1970, 5780, 1068, 8090, 1054, 23252, 21772, 1357, 7799, 23612, 57, 1193, 22504, 3661, 8181, 24203, 11791, 1131, 11460, 1009, 8322, 1043, 2653, 12474, 5291, 1159, 1044, 1187, 3328, 9789, 1049, 3077, 5256, 6215, 1353, 2652, 1138, 8497, 12383, 3968, 1736, 1060, 5623, 12669, 20186, 3351, 14957, 3360, 6234, 17316, 27445, 1021, 8, 1159, 3793, 1193, 22504, 1847, 6373, 1040, 1518, 3365, 1102, 8, 1005, 5083, 12949, 1068, 5635, 19398, 2100, 1482, 1224, 10510, 1009, 5256, 6215, 1353, 1870, 22681, 9422, 1060, 1809, 95, 3016, 24313, 5444, 1048, 2097, 1150, 1538, 46, 3841, 13, 1225, 1094, 8547, 1086, 2622, 1961, 8233, 1043, 3282, 1006, 1456, 1963, 20766, 14409, 1193, 1014, 13, 8798, 1371, 1043, 1094, 1499, 4372, 16952, 1377, 1063, 21033, 20025, 3854, 1736, 1049, 3761, 5414, 2045, 17062, 4643, 75, 17554, 32, 7732, 1219, 1089, 1054, 14409, 1193, 1014, 13, 1159, 1006, 1538, 1292, 1231, 5046, 13, 1049, 3077, 1655, 24590, 6215, 15090, 7113, 7568, 6063, 5291, 1159, 8701, 3957, 1009, 2277, 1853, 4818, 8808, 2100, 4948, 18798, 17482, 1009, 6745, 41, 88, 6488, 14957, 3793, 1193, 22504, 1159, 2750, 1853, 5187, 1009, 19457, 18534, 7429, 3326, 1157, 2464, 4850, 1009, 1261, 12374, 1044, 4818, 9498, 5083, 4348, 1194, 1406, 1006, 2423, 1620, 1096, 15412, 1271, 8696, 1184, 2572, 1580, 2309, 7886, 1009, 19457, 18534, 1617, 8, 1005, 6895, 1026, 23728, 1017, 1006, 29669, 20737, 10082, 2432, 1526, 6607, 1672, 9099, 4551, 1708, 1005, 1006, 2935, 1049, 28334, 28083, 4249, 2072, 6619, 8523, 1048, 1494, 2634, 1068, 1006, 4005, 1655, 1196, 7197, 67, 1622, 19620, 2855, 4276, 1029, 6403, 19458, 8871, 1060, 14941, 1120, 24313, 1973, 1048, 3793, 1193, 22504, 1096, 1094, 29990, 24004, 4447, 1140, 1406, 2097, 6525, 17920, 1049, 11467, 2642, 2703, 2592, 14957, 1044, 1187, 3460, 8696, 1009, 5256, 6215, 1353, 2652, 12539, 5812, 1118, 2625, 3948, 1060, 2759, 1009, 1067, 2171, 17454, 23677, 1031, 7568, 13596, 1006, 5187, 20, 2494, 1944, 6621, 18, 23395, 1009, 26310, 1785, 1973, 1048, 1006, 2423, 1160, 1516, 12717, 1271, 2957, 74, 4261, 1309, 13236, 1048, 23409, 150, 1493, 1680, 8088, 80, 2166, 3027, 1054, 16619, 1765, 4536, 82, 2445, 11791, 11424, 20514, 6816, 1005, 1094, 7640, 10647, 8808, 2855, 2494, 2750, 6621, 18, 1574, 3496, 1253, 4264, 15709, 5444, 1048, 3793, 1193, 22504, 1096, 15412, 1271, 10486, 8696, 1072, 3077, 5256, 6215, 1353, 1870, 1571, 19457, 18534, 1617, 2947, 6774, 1140, 1043, 1224, 18184, 6607, 1672, 3587, 2246, 1072, 1852, 1687, 1058, 1638, 1076, 1005, 4145, 1094, 1271, 3460, 20778, 1009, 1224, 14382, 5700, 1791, 1206, 1184, 4686, 1009, 2540, 19447, 1006, 5018, 24515, 1574, 8050, 14469, 1060, 12398, 20879, 3793, 1193, 22504, 1159, 1044, 6096, 1048, 2909, 14816, 19, 3213, 94, 1031, 1526, 1009, 19457, 18534, 7429, 1048, 8174, 73, 1648, 3621, 1159, 1044, 7355, 1009, 8861, 1162, 8, 6384, 2905, 7849, 10401, 16315, 1118, 19457, 18534, 1617, 24504, 1009, 4187, 12806, 1009, 1865, 7204, 24504, 12768, 1357, 1123, 7521, 13415, 1, 23705, 1747, 1009, 10348, 1096, 1094, 31363, 3888, 1009, 19738, 1005, 13700, 1048, 1058, 11089, 2691, 17853, 1009, 2079, 1046, 5696, 26231, 1069, 82, 14722, 2981, 8034, 1005, 2152, 2681, 3942, 10474, 2263, 1185, 23228, 31009, 1371, 1009, 2182, 23, 2727, 4261, 1043, 1094, 2779, 3225, 1009, 20241, 0, 17936, 13515, 2561, 1076, 10188, 1114, 1224, 1712, 12721, 1009, 6941, 2727, 4261, 1043, 1365, 3114, 1005, 9018, 4231, 3818, 2310, 1537, 1257, 1257, 28344, 19358, 1009, 19738, 1005, 13700, 1, 1063, 16716, 9073, 12203, 7302, 1720, 3092, 1054, 4431, 1096, 3391, 26530, 21411, 1546, 19998, 9268, 3777, 1672, 1096, 1044, 6859, 18623, 17354, 1357, 8699, 8398, 13169, 1145, 1049, 17468, 1118, 12055, 1233, 5389, 12555, 2378, 1656, 3259, 1537, 3430, 7560, 1175, 16941, 3399, 19647, 23635, 3990, 1175, 6182, 1063, 91, 93, 1248, 5961, 1254, 1175, 5569, 30069, 5961, 12599, 1175, 21927, 4568, 1034, 6080, 2796, 79, 5961, 12275, 1175, 4687, 15046, 77, 2914, 5961, 13290, 1175, 4913, 9565, 9129, 1205, 1185, 1045, 5961, 13367, 1175, 12117, 8628, 1073, 20483, 1253, 5961, 13308, 1175, 7413, 4687, 9396, 5961, 2830, 1175, 6001, 5226, 1441, 25553, 5961, 3612, 1175, 16398, 1093, 1344, 1241, 1133, 4938, 5961, 3502, 1175, 1766, 81, 1024, 11793, 1321, 1037, 5961, 3452, 1175, 4687, 11422, 2890, 5189, 22274, 5961, 3487, 1175, 7413, 2231, 5343, 95, 20937, 5961, 3665, 1175, 12117, 31066, 1528, 5961, 1404, 1175, 28033, 4687, 8146, 5961, 2337, 1175, 6001, 3840, 31778, 1013, 2430, 3309, 1074, 5961, 2708, 1175, 4321, 31218, 1617, 5961, 3459, 1175, 10924, 3474, 6538, 1302, 5961, 3531, 1175, 6182, 26911, 2611, 74, 5112, 5961, 3413, 1175, 9893, 1144, 2641, 1020, 25412, 5961, 3876, 1175, 5542, 23771, 1063, 1041, 11804, 5961, 3851, 1175, 28395, 9792, 4365, 4213, 5961, 3989, 1175, 12843, 25982, 11903, 89, 5961, 4059, 1175, 4321, 4568, 1723, 14258, 5961, 2721, 1175, 8722, 16774, 5961, 5940, 1175, 3968, 1040, 1009, 1067, 25535, 5961, 5784, 1175, 3753, 26911, 2861, 11080, 3979, 5961, 4406, 1175, 9129, 4371, 2903, 1014, 5961, 4990, 1175, 21299, 1134, 2456, 5343, 5961, 4673, 1175, 1205, 9439, 6088, 15663, 14941, 1192, 2048, 5961, 4994, 1175, 1594, 1498, 27176, 2152, 1093, 1358, 4213, 5961, 4943, 1175, 1084, 80, 84, 1024, 1207, 1396, 96, 3096, 88, 4000, 5961, 5963, 1175, 2611, 9902, 20271, 2057, 21454, 5352, 5961, 5235, 1175, 4206, 3824, 5798, 86, 4190, 5961, 3949, 1175, 8366, 21938, 6757, 4190, 1603, 7498, 5961, 8037, 1175, 24655, 3183, 16761, 2914, 5961, 8121, 1175, 8214, 23229, 18783, 1138, 1997, 5961, 4368, 1175, 12117, 6182, 3844, 1692, 5961, 6259, 1175, 2976, 9487, 22475, 5961, 5871, 1175, 14648, 12412, 1252, 5961, 6507, 1175, 27176, 1809, 1237, 1167, 5961, 5900, 1175, 4206, 3333, 2478, 26398, 14078, 5961, 2704, 1175, 21299, 30546, 24829, 5961, 14392, 1175, 15596, 2819, 1925, 1396, 5961, 12580, 1175, 5495, 1007, 78, 1736, 20333, 4006, 1037, 1007, 1117, 81, 2705, 5961, 10301, 1175, 4206, 3333, 1119, 3340, 12326, 1066, 3084, 5961, 10701, 1175, 15934, 1061, 14038, 1245, 1019, 5961, 5003, 1175, 12843, 3474, 1430, 5961, 9621, 1175, 4691, 1013, 20941, 1228, 1269, 171, 4098, 5961, 10344, 1175, 11692, 2478, 1007, 2934, 9617, 1051, 5961, 9595, 1175, 4687, 13923, 20767, 5961, 6955, 1175, 1106, 4189, 90, 1809, 88, 171, 83, 77, 3180, 5961, 4160, 1175, 24976, 1922, 4891, 1218, 89, 1036, 1423, 5961, 14525, 1175, 18082, 7848, 2819, 27254, 11986, 5961, 11605, 1175, 12593, 1133, 11967, 1014, 5961, 9132, 1175, 1067, 3930, 2529, 7308, 19911, 1078, 1617, 5961, 4655, 1175, 27176, 1207, 4529, 9565, 5961, 5562, 1175, 7612, 4568, 22401, 96, 7790, 3719, 5961, 5861, 1175, 20464, 81, 1106, 1792, 13668, 5961, 6991, 1175, 28272, 1106, 3448, 9565, 5961, 7795, 1175, 3968, 1040, 16398, 2397, 95, 8328, 5961, 6795, 1175, 18306, 1197, 19710, 3355, 12326, 1066, 3084, 5961, 4700, 1175, 8366, 4717, 4518, 5961, 13113, 1175, 31485, 8485, 1528, 11279, 9424, 5961, 8360, 1175, 1156, 1010, 1174, 3492, 81, 82, 7348, 95, 5961, 8694, 1175, 12412, 1736, 2478, 8165, 1014, 5961, 7678, 1175, 7612, 1123, 4518, 5961, 5515, 1175, 27828, 1587, 94, 8781, 2694, 5961, 6418, 1175, 16725, 1042, 31476, 86, 2145, 5961, 5248, 1175, 14090, 1106, 1816, 5961, 5988, 1175, 23229, 18783, 6504, 6655, 1045, 10325, 1009, 1207, 1075, 1042, 5961, 6101, 1175, 4687, 21299, 1134, 2456, 5343, 5961, 3663, 1175, 7413, 4913, 72, 1122, 5961, 12445, 1175, 17338, 2435, 1136, 1163, 28564, 1469, 79, 5961, 10703, 1175, 28153, 1106, 8049, 23128, 5961, 8053, 1175, 1180, 1956, 1220, 7495, 1136, 92, 2628, 5961, 5205, 1175, 2458, 1021, 1574, 4699, 2657, 13923, 5961, 4705, 1175, 7034, 7413, 29744, 7716, 5961, 4829, 1175, 8366, 5347, 1192, 6055, 5961, 4969, 1175, 2611, 9902, 28033, 2915, 86, 3685, 5961, 4325, 1175, 3753, 1163, 14554, 4387, 4111, 2359, 5961, 4754, 1175, 15724, 1056, 15409, 2363, 93, 5961, 4332, 1175, 25751, 20859, 1067, 25535, 3351, 5961, 12730, 1175, 14902, 12117, 1138, 7473, 6041, 3084, 5961, 11748, 1175, 2613, 1218, 1051, 4568, 24747, 90, 5961, 11548, 1175, 7612, 1587, 1018, 5961, 10997, 1175, 11422, 2890, 1067, 3562, 1032, 5961, 7777, 1175, 6669, 2929, 75, 27875, 5961, 9742, 1175, 13793, 21561, 5797, 5961, 10254, 1175, 15001, 2662, 31078, 5961, 7560, 1175, 14902, 12412, 1037, 1051, 4314, 2057, 5961, 3990, 1175, 3477, 6655, 11120, 1106, 8049, 23128, 11740, 22, 1175, 1123, 2690, 1038, 12794, 5785, 1367, 11740, 23, 1175, 16825, 14245, 1208, 11740, 24, 1175, 2695, 78, 74, 1056, 8689, 11224, 209, 3169, 9442, 2102, 25, 1175, 17866, 10056, 1021, 11740, 26, 1175, 1574, 6488, 2060, 14600, 2690, 9442, 2102, 27, 1175, 5542, 1344, 12853, 11740, 28, 1175, 4321, 6669, 22554, 11740, 29, 1175, 7612, 4206, 5146, 11740, 30, 1175, 15556, 5202, 10325, 3797, 15481, 78, 11740, 31, 1175, 4321, 3492, 91, 13389, 1839, 1175, 5464, 74, 16290, 77, 1375, 2363, 1014, 12039, 23, 1175, 26232, 1034, 78, 2976, 1138, 1042, 1092, 5378, 12039, 24, 1175, 26406, 9535, 1014, 12039, 25, 1175, 6669, 1163, 8824, 12039, 26, 1175, 12833, 3930, 1344, 17958, 9565, 12039, 27, 1175, 18772, 9633, 12039, 28, 1175, 16882, 9535, 1423, 12039, 29, 1175, 31296, 8735, 7465, 12039, 30, 1175, 5401, 1207, 4529, 1736, 13389, 1442, 1175, 4191, 1107, 26195, 1034, 14600, 7308, 1110 ]

[ 1026, 3867, 11375, 1100, 1058, 1992, 1058, 1298, 16005, 2374, 1026, 1531, 1060, 26287, 1694, 8, 1712, 7, 18515, 1027, 10256, 13811, 10923, 12673, 3837, 1383, 4998, 1100, 1132, 4859, 2653, 7915, 5881, 17545, 1213, 1015, 88, 6168, 18, 1118, 5672, 1024, 1927, 1090, 1126, 1294, 14403, 1962, 2731, 1159, 4768, 1026, 7640, 16389, 19778, 1044, 1349, 1043, 10566, 29811, 15729, 1005, 1927, 1043, 1026, 9151, 1009, 3244, 8580, 1188, 1005, 1009, 9797, 1043, 4744, 1533, 4050, 1370, 8215, 1324, 1043, 1413, 4703, 1810, 1006, 15953, 5443, 1018, 2307, 1009, 4429, 1243, 2555, 13945, 1243, 10923, 12673, 3837, 1691, 10781, 22846, 1213, 1807, 6168, 11270, 1049, 15314, 7, 2503, 4201, 2402, 1009, 2739, 10000, 5129, 2289, 1009, 2631, 1114, 12713, 1834, 8530, 1807, 7152, 4452, 1080, 50, 91, 43, 1080, 53, 95, 2998, 2503, 1007, 2889, 26188, 10923, 12673, 3837, 19922, 1395, 1973, 1026, 1048, 2257, 1006, 3754, 2290, 1015, 9907, 7, 25756, 23721, 1005, 1150, 1046, 4565, 14951, 8, 3073, 1370, 7, 1005, 28057, 78, 1063, 4033, 18234, 2555, 7589, 17059, 10923, 12673, 3837, 4073, 11266, 19453, 43, 1080, 53, 95, 1715, 1833, 1048, 1006, 12713, 1244, 1694, 17656, 8184, 1043, 1094, 4744, 3349, 1679, 29447, 3590, 14886, 5861, 10923, 12673, 3837, 3564, 18162, 18234, 1009, 22846, 1005, 1048, 2199, 1018, 1006, 5672, 1024, 2237, 1030, 1016, 1609, 1048, 6071, 8375, 11904, 1044, 1187, 3056, 3328, 1009, 5317, 1049, 1784, 6658, 1005, 6548, 8530, 1807, 1531, 1005, 2739, 1150, 5395, 3220, 14398, 1037, 3766, 10923, 12673, 3837, 5640, 4859, 22846, 1005, 12720, 1048, 1030, 17722, 1044, 1531, 1493, 5450, 7297, 1044, 11274, 1068, 3230, 4732, 14951, 1159, 5548, 3019, 5620, 3182, 1009, 9032, 1005, 7059, 1322, 1668, 4346, 5735, 1468, 6015, 12326, 85, 10923, 12673, 3837, 1691, 10781, 22846, 1357, 3164, 7066, 5160, 1005, 11142, 1356, 4449, 2098, 21928, 4116, 1173, 4450, 1132, 1011, 1753, 1010, 1006, 1043, 11150, 1187, 1600, 1162, 15609, 1072, 3867, 11375, 1100, 1160, 1058, 2155, 13101, 1009, 1132, 13435, 1049, 28933, 30264, 1589, 10923, 12673, 3837, 1576, 19581, 6201, 1164, 10923, 12673, 3837, 1691, 10781, 22846, 3730, 16772, 3636, 15, 2858, 1807, 18234, 20, 1833, 1048, 1006, 1244, 1694, 1998, 1006, 1030, 17722, 8184, 1233, 3696, 32, 1308, 74, 1007, 1665, 85, 8565, 12854, 10923, 12673, 3837, 2503, 1265, 18, 1159, 12931, 1919, 1400, 3179, 1048, 15146, 1054, 17045, 1667, 19835, 5770, 8567, 1136, 1629, 1005, 1048, 1323, 1895, 1461, 1094, 6647, 1009, 9473, 1048, 2909, 4417, 1009, 25327, 8530, 1807, 18234, 1005, 1048, 1030, 17722, 2289, 1009, 30252, 13295, 28679, 13235, 2653, 20125, 3342, 1005, 1044, 1807, 18234, 3482, 1085, 8871, 10923, 12673, 3837, 4073, 72, 1219, 14954, 7, 2858, 1086, 1131, 1080, 80, 1810, 2271, 6458, 6770, 15, 1005, 1026, 8330, 1009, 1044, 1531, 1025, 1164, 5450, 6770, 1308, 1295, 1118, 1752, 25882, 1048, 10249, 1007, 1074, 1026, 4346, 1049, 2930, 3152, 22655, 3871, 1044, 28006, 1139, 10938, 6770, 18103, 14886, 5865, 76, 2732, 10923, 12673, 3837, 4073, 11266, 1796, 1477, 31127, 2289, 1009, 2631, 1068, 18776, 2856, 1308, 2366, 1807, 11083, 4452, 1080, 50, 91, 43, 1080, 53, 95, 7, 8422, 1837, 19303, 675, 23845, 3341, 4198, 29968, 10923, 12673, 3837, 2995, 1321, 1324, 2653, 22846, 1005, 1044, 1807, 18234, 1059, 64, 1810, 10923, 12673, 3837, 19922, 9470, 1026, 10720, 1009, 7340, 1094, 31697, 1678, 1309, 2598, 1096, 1009, 1184, 5472, 1024, 1005, 1125, 1397, 90, 1637, 1026, 1329, 2767, 2429, 20151, 3733, 5584, 1291, 2098, 4676, 4158, 1573, 1026, 9163, 2402, 1048, 2521, 1026, 4449, 6770, 1308, 6201, 1164, 51, 4459, 3276, 10923, 12673, 3837, 22286, 2856, 6771, 675, 15933, 1927, 1006, 1557, 1068, 1395, 21653, 1132, 23721, 15136, 21296, 1026, 1901, 8447, 1495, 1006, 22515, 1049, 12459, 3867, 9914, 2856, 6770, 19, 15, 675, 10806, 1012, 1016, 10535, 12673, 3837, 2503, 1104, 18741, 2449, 1094, 1244, 1694, 1068, 1030, 1803, 1244, 1546, 1074, 1054, 11569, 1177, 1206, 27821, 8057, 18526, 1060, 5643, 1919, 1048, 1058, 1234, 17154, 1196, 1043, 3722, 15436, 1132, 1360, 4722, 1233, 6411, 1005, 4145, 1068, 4166, 1074, 1044, 4253, 18, 1503, 6851, 79, 4954, 1367, 1242, 1261, 14951, 1169, 26448, 1033, 30231, 1064, 2961, 1563, 11021, 13153, 5399, 2979, 1009, 31163, 1048, 1030, 17722, 1044, 1531, 1493, 5450, 1048, 1680, 8174, 14639, 3021, 88, 41, 1010, 1800, 10535, 12673, 3837, 4354, 3838, 18234, 1005, 2739, 11753, 5848, 73, 13, 1036, 2519, 1385, 1715, 1132, 2250, 7949, 1371, 1005, 1026, 7722, 25553, 5404, 1118, 1058, 13101, 1187, 11342, 31179, 18448, 2130, 1060, 1962, 6289, 6770, 1308, 1790, 1012, 1100, 1005, 1159, 1566, 1919, 1026, 10876, 1599, 1184, 6054, 6849, 1048, 2598, 1715, 1159, 23214, 1305, 4659, 1054, 8828, 8647, 1229, 1309, 1841, 1072, 5661, 2730, 13877, 1026, 20840, 59, 1082, 31124, 25777, 5264, 45, 9435, 2691, 16179, 2986, 22340, 4275, 2880, 1059, 1553, 1566, 1195, 1715, 1026, 25711, 3904, 1566, 1006, 4054, 2998, 5848, 71, 49, 75, 15187, 1006, 40, 88, 39, 24290, 1679, 7722, 1024, 1732, 28282, 2215, 7722, 1024, 7278, 1026, 29032, 20125, 1810, 3996, 1045, 10982, 1034, 1782, 12673, 3837, 2503, 21596, 5356, 14212, 26483, 26483, 26483, 26483, 26483, 26483, 26483, 26483, 26483, 31127, 2654, 4359, 1100, 1503, 7954, 1592, 1175, 1998, 1298, 1175, 1178, 1006, 3762, 86, 1076, 1184, 29386, 2757, 1048, 1072, 1784, 1049, 1119, 4071, 45, 3402, 1837, 4981, 2856, 21, 4073, 11266, 10513, 2585, 1309, 1503, 1836, 1516, 1233, 2540, 1060, 1082, 2581, 9835, 6996, 2982, 1205, 4503, 139, 20252, 1322, 6185, 4346, 1048, 12931, 1718, 1018, 2306, 1068, 1395, 2997, 1132, 7915, 5881, 132, 14929, 1159, 8174, 14639, 25756, 1, 6872, 1049, 1062, 1412, 1382, 1175, 2773, 1209, 25408, 1391, 1467, 31447, 1149, 1005, 1026, 6872, 1049, 1062, 1412, 1382, 2969, 1412, 6978, 1005, 11429, 1068, 7904, 1132, 3730, 82, 3706, 1391, 8, 1048, 15666, 1114, 2042, 1009, 1664, 1132, 3116, 27529, 6156, 1148, 1371, 1318, 1005, 2913, 1420, 1026, 1235, 3730, 82, 3706, 1221, 8, 1043, 1026, 7079, 31447, 1149, 13498, 5269, 25408, 1391, 9390, 9426, 1124, 6286, 1060, 31447, 1149, 1068, 7471, 15825, 32, 4935, 2572, 3871, 1006, 8716, 22133, 1009, 6443, 6451, 1005, 3140, 1009, 8377, 6788, 9606, 1094, 6250, 1049, 1235, 3730, 82, 3706, 1221, 8, 10764, 1679, 8016, 6149, 1402, 1054, 19526, 1005, 1094, 8377, 1054, 5099, 1184, 22381, 6788, 2900, 1094, 1712, 1005, 1184, 8962, 6250, 1068, 4384, 1005, 1068, 1026, 1235, 3730, 82, 3706, 1221, 1406, 5553, 1264, 1054, 19526, 1206, 1054, 12640, 1833, 2246, 1261, 1044, 3730, 82, 3706, 1221, 8, 1096, 14617, 2073, 1048, 2374, 1006, 1224, 2096, 4385, 1043, 1668, 7079, 17169, 1235, 7867, 1160, 1169, 2838, 4142, 71, 1276, 3885, 1327, 24745, 18672, 2147, 1118, 3909, 1105, 1615, 1149, 1276, 52, 1016, 3918, 3730, 82, 3706, 1221, 1101, 8, 1005, 3730, 82, 3706, 1221, 1307, 1406, 1026, 1235, 7867, 2947, 15820, 1043, 4729, 3716, 1009, 8016, 7180, 1276, 41, 7096, 1026, 1235, 7867, 3241, 1356, 2444, 2595, 2864, 1298, 19937, 1009, 1782, 641, 1009, 11717, 1322, 1026, 6072, 1060, 19700, 1049, 1235, 3730, 82, 3706, 1221, 8, 1356, 6872, 1049, 1062, 1412, 1382, 1479, 1044, 3730, 82, 3706, 1221, 8, 12221, 2947, 1504, 1147, 1009, 7515, 1292, 1055, 3292, 79, 1628, 1145, 3072, 1602, 8772, 1890, 1026, 3041, 1009, 18841, 1060, 19700, 6033, 5554, 1009, 1044, 11340, 2509, 1068, 1026, 6872, 1049, 1062, 1412, 6864, 8083, 1049, 2277, 11340, 2509, 1704, 21136, 31447, 1149, 25408, 1391, 1096, 12153, 1068, 1783, 16587, 1005, 1456, 7471, 1009, 2490, 4788, 2904, 8535, 1887, 1068, 16154, 1026, 31447, 1149, 13498, 5269, 25408, 1391, 1213, 22182, 1060, 5966, 1576, 3281, 91, 1130, 1044, 7867, 4788, 1009, 7461, 5416, 1072, 1235, 24808, 5166, 1411, 1043, 7079, 1114, 31447, 1149, 1005, 1644, 1024, 1114, 1168, 12261, 75, 1159, 24194, 29032, 4093, 25044, 4255, 1009, 9430, 1049, 7079, 1049, 7867, 4788, 1009, 7461, 5416, 1072, 5633, 1009, 1083, 1901, 1006, 6242, 1060, 3164, 1009, 8623, 4952, 1049, 7079, 31447, 1149, 13498, 5269, 25408, 1391, 11499, 1233, 3164, 1060, 1944, 16867, 1060, 1168, 12261, 75, 31447, 1149, 13498, 5269, 25408, 3368, 1026, 4174, 1160, 6678, 1026, 7079, 1049, 1235, 7867, 4788, 1009, 7461, 5416, 1054, 11767, 1114, 31447, 2485, 1026, 5453, 1049, 1235, 25408, 1221, 1160, 2177, 22189, 3929, 1, 15611, 12629, 3087, 29369, 1007, 1387, 2130, 1054, 13704, 1325, 1043, 1138, 3695, 1436, 1009, 28576, 5848, 19, 25676, 2563, 1005, 27210, 1054, 9762, 6492, 2642, 1593, 5740, 5850, 6492, 1603, 2018, 3195, 8539, 1122, 1758, 32, 25923, 3003, 1009, 5158, 3335, 30887, 1054, 2711, 7989, 1142, 1913, 2319, 1054, 15539, 1424, 25044, 2932, 11841, 5556, 6881, 86, 1275, 1029, 1005, 2638, 1777, 14996, 16855, 32, 15611, 29369, 1007, 1387, 2130, 1054, 13704, 1325, 1043, 15873, 7495, 1095, 1343, 1068, 1062, 3329, 2746, 14, 18200, 1043, 1005, 4501, 26780, 1072, 5333, 1009, 17906, 4598, 1009, 17223, 4441, 7029, 2021, 1166, 13590, 7340, 1026, 16291, 1043, 1026, 1720, 1060, 8764, 29489, 1006, 1707, 1007, 14348, 1010, 1045, 1095, 1343, 27507, 1, 21390, 27119, 27360, 12005, 1213, 2671, 1049, 2497, 6040, 8159, 1551, 2458, 1137, 1776, 24509, 1759, 2984, 2644, 5812, 1009, 1048, 1006, 18526, 1160, 1096, 1184, 24344, 1043, 11726, 8692, 1068, 12100, 1049, 1960, 3858, 1054, 2562, 1009, 7109, 4965, 29948, 1480, 1068, 4053, 1048, 6224, 14962, 1054, 10016, 1043, 1094, 12005, 3615, 1233, 25245, 0, 21665, 6347, 1655, 1491, 1579, 13375, 1322, 1044, 2481, 25608, 5098, 1049, 6615, 67, 1195, 10495, 1048, 1054, 3047, 9177, 1239, 2645, 23376, 30621, 1009, 6809, 3409, 1221, 1406, 1160, 1096, 27403, 1097, 1126, 1096, 1033, 3409, 3617, 7290, 2869, 1043, 1026, 6615, 29730, 1096, 1009, 4805, 19824, 1005, 29798, 12671, 1009, 21652, 1005, 1009, 1493, 5085, 20, 1138, 6615, 1225, 12678, 1026, 21455, 1305, 19873, 1499, 6998, 1411, 2512, 1048, 1503, 8318, 1114, 6758, 1009, 5867, 15040, 2449, 1006, 25595, 1049, 3311, 1009, 4350, 1009, 3371, 1213, 2671, 1049, 2293, 3279, 1049, 3826, 1005, 1616, 1160, 1096, 3819, 7855, 1096, 2092, 3244, 18, 2348, 3750, 3803, 7290, 2869, 1096, 1006, 1853, 2481, 7358, 1179, 7195, 8151, 29948, 1896, 1054, 6747, 1068, 31386, 1005, 1068, 1026, 4549, 1100, 1054, 6813, 1428, 1271, 2156, 1006, 18526, 9606, 15458, 37, 8422, 1058, 3877, 25659, 1054, 4697, 1271, 1761, 1728, 1067, 18777, 3582, 11824, 1831, 1054, 3973, 1006, 3371, 1132, 18058, 1049, 2092, 6387, 1005, 1187, 4859, 15099, 1005, 3742, 5425, 1068, 1048, 1006, 4614, 4172, 17721, 8811, 3770, 14531, 1221, 19, 23075, 5322, 1068, 1026, 1901, 1048, 3904, 20, 1482, 6813, 1318, 4540, 3371, 1114, 1155, 21383, 1847, 25659, 1006, 11860, 1114, 6915, 14531, 1145, 1655, 12677, 1006, 1044, 2017, 9051, 13916, 9627, 4367, 1096, 4054, 1006, 8547, 1048, 1026, 4113, 1049, 2293, 3279, 1049, 3826, 1323, 1651, 2698, 18, 1048, 1096, 1026, 9051, 1009, 5867, 27447, 15560, 1026, 8679, 1005, 15729, 3775, 1068, 5711, 5669, 2940, 1006, 6992, 1049, 20383, 3748, 1006, 14531, 1145, 1043, 12213, 1131, 5121, 20292, 1005, 9797, 20, 1, 20020, 1060, 17932, 32, 4338, 3758, 5293, 14120, 1068, 7748, 1058, 8451, 3890, 1467, 4338, 1187, 17633, 18111, 3068, 9560, 2149, 4681, 1006, 6937, 1060, 5293, 1009, 16167, 1068, 7748, 1005, 5031, 12316, 2494, 9924, 1049, 6522, 2457, 1009, 13460, 1049, 15966, 11151, 1422, 5562, 13203, 1717, 2971, 2280, 13596, 3606, 6264, 1068, 1006, 30171, 1048, 3040, 1040, 1006, 5293, 14120, 1009, 15870, 1646, 1068, 1124, 3680, 1005, 1009, 11923, 1646, 1068, 1132, 29076, 1063, 9924, 5687, 1986, 1006, 9738, 1049, 3407, 2751, 1060, 8116, 1060, 17932, 18, 1356, 16142, 3335, 1114, 3757, 12824, 15342, 12516, 1054, 1831, 29159, 1026, 3407, 2751, 1060, 8116, 1060, 17932, 5658, 1094, 2700, 1009, 5376, 1114, 6947, 1009, 20297, 20, 2013, 1026, 2803, 1009, 5034, 1184, 17254, 1009, 7002, 31467, 1159, 1026, 2535, 1187, 5031, 4846, 17630, 5576, 14419, 7748, 1005, 5031, 1170, 12840, 3177, 1233, 16167, 1006, 2323, 1009, 5251, 1005, 15681, 2864, 10663, 1533, 6937, 16134, 6054, 1068, 2603, 1452, 9503, 16636, 1009, 6535, 19101, 1005, 1305, 7838, 3266, 1009, 17932, 18, 1043, 1006, 6758, 1009, 10881, 1006, 8263, 1009, 11522, 1048, 11359, 2120, 17016, 1009, 8934, 1049, 1557, 10711, 1068, 1058, 28594, 4578, 9253, 1005, 3291, 1159, 28512, 1752, 4784, 1599, 3283, 4659, 1114, 3922, 1060, 7513, 5612, 2636, 1060, 4338, 1187, 10570, 3983, 6771, 4426, 1006, 5034, 1009, 2848, 20415, 1060, 22009, 1068, 1048, 1006, 8116, 2374, 16134, 1054, 1831, 13622, 8245, 1009, 8383, 1124, 6264, 1009, 16167, 1068, 1132, 6709, 1072, 3878, 1006, 20020, 1060, 17932, 26672, 1356, 16833, 2089, 2156, 5729, 1009, 9032, 1068, 1006, 4783, 1009, 7748, 1704, 1831, 1096, 1159, 1124, 3606 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3867, 11375, 1100, 1058, 1992, 1058, 1298, 16005, 2374, 1026, 1531, 1060, 26287, 1694, 8, 1712, 7, 18515, 1027, 10256, 13811, 10923, 12673, 3837, 1383, 4998, 1100, 1132, 4859, 2653, 7915, 5881, 17545, 1213, 1015, 88, 6168, 18, 1118, 5672, 1024, 1927, 1090, 1126, 1294, 14403, 1962, 2731, 1159, 4768, 1026, 7640, 16389, 19778, 1044, 1349, 1043, 10566, 29811, 15729, 1005, 1927, 1043, 1026, 9151, 1009, 3244, 8580, 1188, 1005, 1009, 9797, 1043, 4744, 1533, 4050, 1370, 8215, 1324, 1043, 1413, 4703, 1810, 1006, 15953, 5443, 1018, 2307, 1009, 4429, 1243, 2555, 13945, 1243, 10923, 12673, 3837, 1691, 10781, 22846, 1213, 1807, 6168, 11270, 1049, 15314, 7, 2503, 4201, 2402, 1009, 2739, 10000, 5129, 2289, 1009, 2631, 1114, 12713, 1834, 8530, 1807, 7152, 4452, 1080, 50, 91, 43, 1080, 53, 95, 2998, 2503, 1007, 2889, 26188, 10923, 12673, 3837, 19922, 1395, 1973, 1026, 1048, 2257, 1006, 3754, 2290, 1015, 9907, 7, 25756, 23721, 1005, 1150, 1046, 4565, 14951, 8, 3073, 1370, 7, 1005, 28057, 78, 1063, 4033, 18234, 2555, 7589, 17059, 10923, 12673, 3837, 4073, 11266, 19453, 43, 1080, 53, 95, 1715, 1833, 1048, 1006, 12713, 1244, 1694, 17656, 8184, 1043, 1094, 4744, 3349, 1679, 29447, 3590, 14886, 5861, 10923, 12673, 3837, 3564, 18162, 18234, 1009, 22846, 1005, 1048, 2199, 1018, 1006, 5672, 1024, 2237, 1030, 1016, 1609, 1048, 6071, 8375, 11904, 1044, 1187, 3056, 3328, 1009, 5317, 1049, 1784, 6658, 1005, 6548, 8530, 1807, 1531, 1005, 2739, 1150, 5395, 3220, 14398, 1037, 3766, 10923, 12673, 3837, 5640, 4859, 22846, 1005, 12720, 1048, 1030, 17722, 1044, 1531, 1493, 5450, 7297, 1044, 11274, 1068, 3230, 4732, 14951, 1159, 5548, 3019, 5620, 3182, 1009, 9032, 1005, 7059, 1322, 1668, 4346, 5735, 1468, 6015, 12326, 85, 10923, 12673, 3837, 1691, 10781, 22846, 1357, 3164, 7066, 5160, 1005, 11142, 1356, 4449, 2098, 21928, 4116, 1173, 4450, 1132, 1011, 1753, 1010, 1006, 1043, 11150, 1187, 1600, 1162, 15609, 1072, 3867, 11375, 1100, 1160, 1058, 2155, 13101, 1009, 1132, 13435, 1049, 28933, 30264, 1589, 10923, 12673, 3837, 1576, 19581, 6201, 1164, 10923, 12673, 3837, 1691, 10781, 22846, 3730, 16772, 3636, 15, 2858, 1807, 18234, 20, 1833, 1048, 1006, 1244, 1694, 1998, 1006, 1030, 17722, 8184, 1233, 3696, 32, 1308, 74, 1007, 1665, 85, 8565, 12854, 10923, 12673, 3837, 2503, 1265, 18, 1159, 12931, 1919, 1400, 3179, 1048, 15146, 1054, 17045, 1667, 19835, 5770, 8567, 1136, 1629, 1005, 1048, 1323, 1895, 1461, 1094, 6647, 1009, 9473, 1048, 2909, 4417, 1009, 25327, 8530, 1807, 18234, 1005, 1048, 1030, 17722, 2289, 1009, 30252, 13295, 28679, 13235, 2653, 20125, 3342, 1005, 1044, 1807, 18234, 3482, 1085, 8871, 10923, 12673, 3837, 4073, 72, 1219, 14954, 7, 2858, 1086, 1131, 1080, 80, 1810, 2271, 6458, 6770, 15, 1005, 1026, 8330, 1009, 1044, 1531, 1025, 1164, 5450, 6770, 1308, 1295, 1118, 1752, 25882, 1048, 10249, 1007, 1074, 1026, 4346, 1049, 2930, 3152, 22655, 3871, 1044, 28006, 1139, 10938, 6770, 18103, 14886, 5865, 76, 2732, 10923, 12673, 3837, 4073, 11266, 1796, 1477, 31127, 2289, 1009, 2631, 1068, 18776, 2856, 1308, 2366, 1807, 11083, 4452, 1080, 50, 91, 43, 1080, 53, 95, 7, 8422, 1837, 19303, 675, 23845, 3341, 4198, 29968, 10923, 12673, 3837, 2995, 1321, 1324, 2653, 22846, 1005, 1044, 1807, 18234, 1059, 64, 1810, 10923, 12673, 3837, 19922, 9470, 1026, 10720, 1009, 7340, 1094, 31697, 1678, 1309, 2598, 1096, 1009, 1184, 5472, 1024, 1005, 1125, 1397, 90, 1637, 1026, 1329, 2767, 2429, 20151, 3733, 5584, 1291, 2098, 4676, 4158, 1573, 1026, 9163, 2402, 1048, 2521, 1026, 4449, 6770, 1308, 6201, 1164, 51, 4459, 3276, 10923, 12673, 3837, 22286, 2856, 6771, 675, 15933, 1927, 1006, 1557, 1068, 1395, 21653, 1132, 23721, 15136, 21296, 1026, 1901, 8447, 1495, 1006, 22515, 1049, 12459, 3867, 9914, 2856, 6770, 19, 15, 675, 10806, 1012, 1016, 10535, 12673, 3837, 2503, 1104, 18741, 2449, 1094, 1244, 1694, 1068, 1030, 1803, 1244, 1546, 1074, 1054, 11569, 1177, 1206, 27821, 8057, 18526, 1060, 5643, 1919, 1048, 1058, 1234, 17154, 1196, 1043, 3722, 15436, 1132, 1360, 4722, 1233, 6411, 1005, 4145, 1068, 4166, 1074, 1044, 4253, 18, 1503, 6851, 79, 4954, 1367, 1242, 1261, 14951, 1169, 26448, 1033, 30231, 1064, 2961, 1563, 11021, 13153, 5399, 2979, 1009, 31163, 1048, 1030, 17722, 1044, 1531, 1493, 5450, 1048, 1680, 8174, 14639, 3021, 88, 41, 1010, 1800, 10535, 12673, 3837, 4354, 3838, 18234, 1005, 2739, 11753, 5848, 73, 13, 1036, 2519, 1385, 1715, 1132, 2250, 7949, 1371, 1005, 1026, 7722, 25553, 5404, 1118, 1058, 13101, 1187, 11342, 31179, 18448, 2130, 1060, 1962, 6289, 6770, 1308, 1790, 1012, 1100, 1005, 1159, 1566, 1919, 1026, 10876, 1599, 1184, 6054, 6849, 1048, 2598, 1715, 1159, 23214, 1305, 4659, 1054, 8828, 8647, 1229, 1309, 1841, 1072, 5661, 2730, 13877, 1026, 20840, 59, 1082, 31124, 25777, 5264, 45, 9435, 2691, 16179, 2986, 22340, 4275, 2880, 1059, 1553, 1566, 1195, 1715, 1026, 25711, 3904, 1566, 1006, 4054, 2998, 5848, 71, 49, 75, 15187, 1006, 40, 88, 39, 24290, 1679, 7722, 1024, 1732, 28282, 2215, 7722, 1024, 7278, 1026, 29032, 20125, 1810, 3996, 1045, 10982, 1034, 1782, 12673, 3837, 2503, 21596, 5356, 14212, 26483, 26483, 26483, 26483, 26483, 26483, 26483, 26483, 26483, 31127, 2654, 4359, 1100, 1503, 7954, 1592, 1175, 1998, 1298, 1175, 1178, 1006, 3762, 86, 1076, 1184, 29386, 2757, 1048, 1072, 1784, 1049, 1119, 4071, 45, 3402, 1837, 4981, 2856, 21, 4073, 11266, 10513, 2585, 1309, 1503, 1836, 1516, 1233, 2540, 1060, 1082, 2581, 9835, 6996, 2982, 1205, 4503, 139, 20252, 1322, 6185, 4346, 1048, 12931, 1718, 1018, 2306, 1068, 1395, 2997, 1132, 7915, 5881, 132, 14929, 1159, 8174, 14639, 25756, 1, 6872, 1049, 1062, 1412, 1382, 1175, 2773, 1209, 25408, 1391, 1467, 31447, 1149, 1005, 1026, 6872, 1049, 1062, 1412, 1382, 2969, 1412, 6978, 1005, 11429, 1068, 7904, 1132, 3730, 82, 3706, 1391, 8, 1048, 15666, 1114, 2042, 1009, 1664, 1132, 3116, 27529, 6156, 1148, 1371, 1318, 1005, 2913, 1420, 1026, 1235, 3730, 82, 3706, 1221, 8, 1043, 1026, 7079, 31447, 1149, 13498, 5269, 25408, 1391, 9390, 9426, 1124, 6286, 1060, 31447, 1149, 1068, 7471, 15825, 32, 4935, 2572, 3871, 1006, 8716, 22133, 1009, 6443, 6451, 1005, 3140, 1009, 8377, 6788, 9606, 1094, 6250, 1049, 1235, 3730, 82, 3706, 1221, 8, 10764, 1679, 8016, 6149, 1402, 1054, 19526, 1005, 1094, 8377, 1054, 5099, 1184, 22381, 6788, 2900, 1094, 1712, 1005, 1184, 8962, 6250, 1068, 4384, 1005, 1068, 1026, 1235, 3730, 82, 3706, 1221, 1406, 5553, 1264, 1054, 19526, 1206, 1054, 12640, 1833, 2246, 1261, 1044, 3730, 82, 3706, 1221, 8, 1096, 14617, 2073, 1048, 2374, 1006, 1224, 2096, 4385, 1043, 1668, 7079, 17169, 1235, 7867, 1160, 1169, 2838, 4142, 71, 1276, 3885, 1327, 24745, 18672, 2147, 1118, 3909, 1105, 1615, 1149, 1276, 52, 1016, 3918, 3730, 82, 3706, 1221, 1101, 8, 1005, 3730, 82, 3706, 1221, 1307, 1406, 1026, 1235, 7867, 2947, 15820, 1043, 4729, 3716, 1009, 8016, 7180, 1276, 41, 7096, 1026, 1235, 7867, 3241, 1356, 2444, 2595, 2864, 1298, 19937, 1009, 1782, 641, 1009, 11717, 1322, 1026, 6072, 1060, 19700, 1049, 1235, 3730, 82, 3706, 1221, 8, 1356, 6872, 1049, 1062, 1412, 1382, 1479, 1044, 3730, 82, 3706, 1221, 8, 12221, 2947, 1504, 1147, 1009, 7515, 1292, 1055, 3292, 79, 1628, 1145, 3072, 1602, 8772, 1890, 1026, 3041, 1009, 18841, 1060, 19700, 6033, 5554, 1009, 1044, 11340, 2509, 1068, 1026, 6872, 1049, 1062, 1412, 6864, 8083, 1049, 2277, 11340, 2509, 1704, 21136, 31447, 1149, 25408, 1391, 1096, 12153, 1068, 1783, 16587, 1005, 1456, 7471, 1009, 2490, 4788, 2904, 8535, 1887, 1068, 16154, 1026, 31447, 1149, 13498, 5269, 25408, 1391, 1213, 22182, 1060, 5966, 1576, 3281, 91, 1130, 1044, 7867, 4788, 1009, 7461, 5416, 1072, 1235, 24808, 5166, 1411, 1043, 7079, 1114, 31447, 1149, 1005, 1644, 1024, 1114, 1168, 12261, 75, 1159, 24194, 29032, 4093, 25044, 4255, 1009, 9430, 1049, 7079, 1049, 7867, 4788, 1009, 7461, 5416, 1072, 5633, 1009, 1083, 1901, 1006, 6242, 1060, 3164, 1009, 8623, 4952, 1049, 7079, 31447, 1149, 13498, 5269, 25408, 1391, 11499, 1233, 3164, 1060, 1944, 16867, 1060, 1168, 12261, 75, 31447, 1149, 13498, 5269, 25408, 3368, 1026, 4174, 1160, 6678, 1026, 7079, 1049, 1235, 7867, 4788, 1009, 7461, 5416, 1054, 11767, 1114, 31447, 2485, 1026, 5453, 1049, 1235, 25408, 1221, 1160, 2177, 22189, 3929, 1, 15611, 12629, 3087, 29369, 1007, 1387, 2130, 1054, 13704, 1325, 1043, 1138, 3695, 1436, 1009, 28576, 5848, 19, 25676, 2563, 1005, 27210, 1054, 9762, 6492, 2642, 1593, 5740, 5850, 6492, 1603, 2018, 3195, 8539, 1122, 1758, 32, 25923, 3003, 1009, 5158, 3335, 30887, 1054, 2711, 7989, 1142, 1913, 2319, 1054, 15539, 1424, 25044, 2932, 11841, 5556, 6881, 86, 1275, 1029, 1005, 2638, 1777, 14996, 16855, 32, 15611, 29369, 1007, 1387, 2130, 1054, 13704, 1325, 1043, 15873, 7495, 1095, 1343, 1068, 1062, 3329, 2746, 14, 18200, 1043, 1005, 4501, 26780, 1072, 5333, 1009, 17906, 4598, 1009, 17223, 4441, 7029, 2021, 1166, 13590, 7340, 1026, 16291, 1043, 1026, 1720, 1060, 8764, 29489, 1006, 1707, 1007, 14348, 1010, 1045, 1095, 1343, 27507, 1, 21390, 27119, 27360, 12005, 1213, 2671, 1049, 2497, 6040, 8159, 1551, 2458, 1137, 1776, 24509, 1759, 2984, 2644, 5812, 1009, 1048, 1006, 18526, 1160, 1096, 1184, 24344, 1043, 11726, 8692, 1068, 12100, 1049, 1960, 3858, 1054, 2562, 1009, 7109, 4965, 29948, 1480, 1068, 4053, 1048, 6224, 14962, 1054, 10016, 1043, 1094, 12005, 3615, 1233, 25245, 0, 21665, 6347, 1655, 1491, 1579, 13375, 1322, 1044, 2481, 25608, 5098, 1049, 6615, 67, 1195, 10495, 1048, 1054, 3047, 9177, 1239, 2645, 23376, 30621, 1009, 6809, 3409, 1221, 1406, 1160, 1096, 27403, 1097, 1126, 1096, 1033, 3409, 3617, 7290, 2869, 1043, 1026, 6615, 29730, 1096, 1009, 4805, 19824, 1005, 29798, 12671, 1009, 21652, 1005, 1009, 1493, 5085, 20, 1138, 6615, 1225, 12678, 1026, 21455, 1305, 19873, 1499, 6998, 1411, 2512, 1048, 1503, 8318, 1114, 6758, 1009, 5867, 15040, 2449, 1006, 25595, 1049, 3311, 1009, 4350, 1009, 3371, 1213, 2671, 1049, 2293, 3279, 1049, 3826, 1005, 1616, 1160, 1096, 3819, 7855, 1096, 2092, 3244, 18, 2348, 3750, 3803, 7290, 2869, 1096, 1006, 1853, 2481, 7358, 1179, 7195, 8151, 29948, 1896, 1054, 6747, 1068, 31386, 1005, 1068, 1026, 4549, 1100, 1054, 6813, 1428, 1271, 2156, 1006, 18526, 9606, 15458, 37, 8422, 1058, 3877, 25659, 1054, 4697, 1271, 1761, 1728, 1067, 18777, 3582, 11824, 1831, 1054, 3973, 1006, 3371, 1132, 18058, 1049, 2092, 6387, 1005, 1187, 4859, 15099, 1005, 3742, 5425, 1068, 1048, 1006, 4614, 4172, 17721, 8811, 3770, 14531, 1221, 19, 23075, 5322, 1068, 1026, 1901, 1048, 3904, 20, 1482, 6813, 1318, 4540, 3371, 1114, 1155, 21383, 1847, 25659, 1006, 11860, 1114, 6915, 14531, 1145, 1655, 12677, 1006, 1044, 2017, 9051, 13916, 9627, 4367, 1096, 4054, 1006, 8547, 1048, 1026, 4113, 1049, 2293, 3279, 1049, 3826, 1323, 1651, 2698, 18, 1048, 1096, 1026, 9051, 1009, 5867, 27447, 15560, 1026, 8679, 1005, 15729, 3775, 1068, 5711, 5669, 2940, 1006, 6992, 1049, 20383, 3748, 1006, 14531, 1145, 1043, 12213, 1131, 5121, 20292, 1005, 9797, 20, 1, 20020, 1060, 17932, 32, 4338, 3758, 5293, 14120, 1068, 7748, 1058, 8451, 3890, 1467, 4338, 1187, 17633, 18111, 3068, 9560, 2149, 4681, 1006, 6937, 1060, 5293, 1009, 16167, 1068, 7748, 1005, 5031, 12316, 2494, 9924, 1049, 6522, 2457, 1009, 13460, 1049, 15966, 11151, 1422, 5562, 13203, 1717, 2971, 2280, 13596, 3606, 6264, 1068, 1006, 30171, 1048, 3040, 1040, 1006, 5293, 14120, 1009, 15870, 1646, 1068, 1124, 3680, 1005, 1009, 11923, 1646, 1068, 1132, 29076, 1063, 9924, 5687, 1986, 1006, 9738, 1049, 3407, 2751, 1060, 8116, 1060, 17932, 18, 1356, 16142, 3335, 1114, 3757, 12824, 15342, 12516, 1054, 1831, 29159, 1026, 3407, 2751, 1060, 8116, 1060, 17932, 5658, 1094, 2700, 1009, 5376, 1114, 6947, 1009, 20297, 20, 2013, 1026, 2803, 1009, 5034, 1184, 17254, 1009, 7002, 31467, 1159, 1026, 2535, 1187, 5031, 4846, 17630, 5576, 14419, 7748, 1005, 5031, 1170, 12840, 3177, 1233, 16167, 1006, 2323, 1009, 5251, 1005, 15681, 2864, 10663, 1533, 6937, 16134, 6054, 1068, 2603, 1452, 9503, 16636, 1009, 6535, 19101, 1005, 1305, 7838, 3266, 1009, 17932, 18, 1043, 1006, 6758, 1009, 10881, 1006, 8263, 1009, 11522, 1048, 11359, 2120, 17016, 1009, 8934, 1049, 1557, 10711, 1068, 1058, 28594, 4578, 9253, 1005, 3291, 1159, 28512, 1752, 4784, 1599, 3283, 4659, 1114, 3922, 1060, 7513, 5612, 2636, 1060, 4338, 1187, 10570, 3983, 6771, 4426, 1006, 5034, 1009, 2848, 20415, 1060, 22009, 1068, 1048, 1006, 8116, 2374, 16134, 1054, 1831, 13622, 8245, 1009, 8383, 1124, 6264, 1009, 16167, 1068, 1132, 6709, 1072, 3878, 1006, 20020, 1060, 17932, 26672, 1356, 16833, 2089, 2156, 5729, 1009, 9032, 1068, 1006, 4783, 1009, 7748, 1704, 1831, 1096, 1159, 1124, 3606 ]

[ 1178, 6989, 1166, 3960, 10882, 7, 2200, 2257, 1048, 26130, 1184, 1557, 1011, 1412, 2841, 7, 1138, 2666, 1068, 1079, 8134, 4110, 89, 1998, 1118, 3865, 13284, 17020, 7, 2800, 1096, 1048, 1264, 16512, 1006, 5618, 1996, 1049, 1448, 1526, 1047, 37, 28549, 1072, 8407, 1048, 1261, 12562, 1026, 1448, 1526, 1047, 1178, 2736, 1905, 7, 1175, 1084, 5948, 8094, 37, 1138, 1048, 12931, 1251, 3035, 37, 1175, 2188, 13376, 7759, 2188, 13376, 7759, 1424, 1006, 6690, 1048, 1030, 7913, 1026, 25866, 162, 11217, 4108, 4108, 1663, 1044, 2933, 7, 1603, 1026, 2554, 1188, 1160, 1173, 11206, 1117, 7881, 7797, 1126, 3230, 1261, 8587, 3330, 1026, 2933, 7759, 2013, 2122, 29917, 1287, 1713, 1356, 2677, 2390, 7759, 1175, 5260, 88, 1715, 7408, 3947, 1026, 2677, 2390, 1566, 7514, 2979, 1715, 1175, 1063, 10346, 2975, 1096, 9027, 1309, 1195, 1287, 1713, 1118, 4327, 3062, 1049, 2480, 2784, 1998, 1160, 5192, 1118, 2306, 7, 2013, 14726, 1049, 5196, 11792, 11021, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 1984, 27290, 1779, 5812, 32, 13492, 1235, 9518, 84, 1304, 6174, 21924, 1009, 11003, 10369, 2593, 1752, 1472, 1184, 5859, 17670, 14354, 4108, 1026, 8190, 1049, 25823, 86, 11721, 16743, 1184, 19044, 1049, 1048, 28333, 1377, 2034, 25754, 1327, 12818, 1048, 12356, 1048, 1566, 4929, 2383, 18896, 2585, 1998, 4803, 10218, 13520, 28592, 1068, 5184, 1680, 2237, 2360, 23070, 1195, 4661, 1094, 9050, 1009, 17800, 1068, 1026, 2666, 3019, 8733, 1717, 1026, 12424, 4906, 1726, 15433, 2721, 5735, 1367, 1157, 1791, 29858, 1009, 6648, 1160, 13613, 73, 14050, 1026, 21719, 4126, 1118, 2824, 2400, 19694, 8384, 1094, 3616, 11486, 1026, 1156, 94, 1133, 86, 23801, 4480, 1963, 1160, 6054, 7, 2503, 5373, 1208, 10019, 1239, 7, 4419, 4975, 1006, 1178, 1049, 7912, 1027, 7, 675, 140, 20562, 53, 85, 1100, 10019, 1239, 1005, 140, 20562, 53, 85, 7, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 21501, 8037, 10620, 23079, 13492, 1235, 9518, 84, 1304, 11731, 1096, 1048, 2122, 11003, 2155, 1058, 27025, 1024, 37, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 12150, 5963, 1101, 5812, 32, 13492, 1235, 9518, 84, 1304, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 8260, 24617, 10620, 23079, 13492, 1235, 9518, 84, 1304, 1467, 162, 1325, 1094, 3597, 1049, 6491, 1009, 7925, 1005, 5556, 1048, 1096, 9653, 71, 1009, 21229, 25639, 20476, 1006, 9050, 6954, 1259, 1105, 1013, 1224, 6461, 2762, 1205, 1316, 2940, 1356, 1134, 1154, 9401, 8, 1071, 12784, 2307, 13747, 9026, 1096, 17751, 1132, 19832, 1006, 8853, 1397, 88, 1005, 4531, 1184, 7383, 1580, 1726, 1564, 1016, 1213, 25823, 86, 24389, 20564, 1044, 7927, 1048, 5500, 1787, 150, 1132, 19832, 1048, 2167, 7142, 1124, 5795, 1184, 1757, 16006, 8245, 1009, 1953, 5828, 1043, 3195, 11093, 1021, 1259, 6420, 1026, 1807, 9291, 2734, 1945, 1094, 7182, 1039, 5780, 1068, 2693, 1006, 2700, 10358, 3782, 1096, 1048, 1096, 18687, 675, 159, 1021, 37, 23721, 1213, 6491, 1009, 7925, 7, 1063, 9050, 1566, 1325, 1581, 1819, 1068, 1026, 2666, 1009, 8067, 1726, 3186, 5564, 2041, 1717, 1026, 5315, 1093, 27422, 1, 5459, 1280, 1487, 4686, 1068, 6631, 1006, 1224, 2612, 1005, 1184, 1487, 4686, 1068, 13527, 1044, 24568, 1009, 9666, 3872, 3143, 4830, 1138, 2143, 2446, 5544, 20124, 1026, 4465, 1049, 4410, 20, 2034, 10539, 1009, 6714, 14707, 1356, 1005, 58, 2678, 5241, 9019, 21662, 18, 5171, 58, 1625, 1870, 3117, 3965, 1067, 1434, 1208, 12709, 2275, 1776, 2017, 6518, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 3143, 83, 10510, 1049, 3099, 1784, 9447, 1006, 1871, 1009, 6550, 4441, 16220, 1693, 1178, 24745, 25371, 1068, 9164, 4883, 1005, 9501, 3909, 2565, 1680, 1159, 1298, 1178, 3778, 1054, 9150, 1100, 1054, 3957, 1043, 1073, 21867, 1009, 13269, 1005, 4241, 1009, 1244, 13323, 1603, 1026, 1048, 1299, 1919, 9207, 1299, 27078, 5047, 1213, 6573, 1048, 1299, 2521, 10948, 7462, 1271, 11189, 1054, 15068, 1124, 11189, 1160, 17671, 2012, 1160, 16878, 10512, 1078, 1135, 1009, 16872, 1377, 1138, 18355, 1009, 9774, 11283, 1009, 5496, 1054, 2579, 5920, 6389, 1005, 1734, 3480, 5036, 17778, 2490, 2376, 152, 1164, 6651, 27629, 1925, 3725, 20, 1172, 96, 16720, 4066, 7315, 1311, 11095, 3782, 8981, 5501, 1094, 4272, 1009, 3275, 1469, 1012, 1439, 1005, 5641, 1072, 1592, 1415, 1009, 14288, 1213, 1592, 1557, 1028, 74, 2690, 1054, 1094, 28292, 6166, 52, 48, 62, 54, 1079, 1068, 1663, 1026, 8982, 24823, 2204, 12994, 20922, 1111, 1013, 10989, 2628, 1703, 2507, 1767, 6014, 10761, 24081, 2933, 74, 10132, 1064, 1835, 1065, 29592, 29976, 1809, 17855, 2401, 22238, 1093, 1274, 1171, 1745, 1792, 4103, 1030, 2703, 1018, 6821, 2193, 13843, 74, 5067, 2186, 1274, 16611, 1669, 1057, 1016, 3020, 2020, 7170, 1015, 1098, 2179, 1140, 8532, 1600, 11476, 1029, 1234, 3147, 21504, 1049, 1692, 8532, 1006, 24081, 9583, 1251, 8874, 2501, 5067, 2279, 90, 1253, 2186, 12621, 1036, 19387, 29155, 1060, 11441, 8593, 1953, 3035, 675, 1523, 3755, 1804, 81, 24610, 1065, 1064, 1056, 80, 1088, 2398, 2077, 8532, 74, 8803, 1009, 1590, 1056, 19999, 1953, 75, 1634, 4340, 1034, 1059, 28, 2102, 18, 4540, 11853, 13463, 1054, 6888, 1068, 3741, 56, 13702, 44, 9327, 1005, 6530, 1068, 1006, 4958, 5741, 1009, 6714, 20, 1175, 2595, 2228, 12150, 3413, 22362, 58, 1063, 14083, 24097, 3275, 1491, 90, 1439, 1313, 12756, 17756, 1063, 2789, 2401, 31615, 1133, 1986, 2808, 3790, 1054, 1559, 1059, 8182, 84, 2012, 13929, 3910, 1005, 4885, 2146, 17855, 11476, 2694, 1054, 1720, 1009, 9961, 1046, 89, 1068, 4845, 1096, 1050, 10563, 92, 1301, 9536, 2796, 6189, 7631, 1839, 1005, 3130, 1106, 22394, 1026, 17820, 6239, 1717, 5257, 89, 15191, 24008, 2278, 10040, 1600, 95, 1006, 1642, 75, 1098, 15602, 1234, 2186, 7788, 2604, 1661, 1041, 2488, 2186, 16327, 6852, 2604, 1006, 3504, 1018, 16499, 7468, 20, 5621, 11973, 7933, 24081, 3229, 10132, 4583, 1021, 3144, 15573, 9520, 1159, 14333, 4331, 1005, 1765, 7128, 1371, 3004, 1068, 5184, 13037, 1235, 10062, 2487, 152, 1027, 1235, 3041, 1009, 1557, 1005, 5020, 11232, 1068, 16327, 1332, 87, 89, 1206, 1068, 4885, 1163, 18849, 1068, 6529, 1235, 21951, 1009, 6573, 1005, 2916, 1009, 5884, 4051, 1068, 1752, 6545, 9291, 1106, 7853, 1157, 1132, 2470, 1010, 1184, 9789, 7109, 1005, 71, 5535, 156, 170, 1476, 1009, 6714, 1184, 3467, 4889, 21599, 1551, 1106, 22394, 4351, 4618, 6539, 168, 1007, 5500, 4747, 1068, 1456, 2500, 26381, 1009, 2612, 1009, 3910, 2161, 7550, 2237, 2242, 1006, 7160, 1009, 1858, 1048, 1298, 13718, 1009, 1023, 7854, 1054, 3235, 1009, 9430, 3121, 1006, 1015, 1255, 16923, 1005, 27003, 2852, 5010, 1134, 7238, 1009, 1128, 1016, 3755, 1803, 12543, 4487, 2790, 1006, 6079, 12543, 4487, 1009, 1201, 3858, 25121, 4650, 1155, 6584, 1009, 15939, 1100, 1134, 1956, 2850, 1005, 24241, 3840, 5936, 6762, 24376, 3377, 57, 1189, 2123, 1340, 2399, 2059, 1011, 4528, 74, 1262, 9329, 1071, 15624, 2059, 4121, 1167, 1422, 1172, 1418, 1074, 1761, 19530, 54, 4826, 42, 1349, 24758, 3073, 95, 1051, 1692, 8130, 3951, 1141, 11124, 2732, 1108, 7385, 95, 1486, 11923, 1903, 1139, 30213, 1047, 2582, 1090, 23722, 1020, 1139, 6076, 75, 1043, 1285, 1286, 1061, 1009, 4825, 2918, 20, 8593, 1096, 1044, 1807, 19617, 28630, 1114, 16442, 1009, 21516, 1009, 3047, 26509, 2654, 3768, 1616, 2301, 1094, 8239, 17527, 1766, 5870, 16089, 1596, 16966, 2301, 1026, 13402, 1766, 5870, 26562, 1596, 16966, 2301, 1026, 13402, 11646, 1067, 1255, 16923, 1208, 9302, 1068, 18792, 30216, 3204, 2859, 4955, 3918, 11327, 1005, 5420, 2754, 6962, 4851, 1009, 13371, 1009, 6022, 2875, 1417, 1318, 2185, 2315, 1044, 3159, 1009, 6550, 1048, 31631, 19578, 1118, 1307, 2250, 1068, 6052, 7895, 2034, 2266, 4496, 1160, 1826, 1620, 5262, 1054, 12217, 20, 17383, 1031, 2872, 1637, 8647, 22904, 7753, 1444, 4096, 3861, 1064, 82, 73, 2604, 12232, 1056, 7547, 1253, 9694, 1006, 1143, 1085, 1015, 7179, 13732, 1816, 23199, 1098, 4370, 1429, 2005, 78, 6138, 1007, 5134, 3812, 16506, 1098, 79, 1395, 1076, 86, 20488, 3158, 2200, 1195, 17796, 1068, 8430, 1024, 1124, 6106, 1049, 29221, 1680, 1159, 17704, 1006, 9183, 1005, 8083, 1890, 2979, 1271, 10900, 20, 4378, 1096, 1006, 3069, 9636, 1009, 1159, 26502, 25772, 22925, 2257, 3295, 27, 2744, 1054, 1963, 2502, 1009, 4209, 20373, 1054, 2992, 1067, 89, 13871, 4210, 1986, 1026, 4465, 1049, 27669, 30506, 6843, 6238, 96, 93, 2649, 2482, 89, 5067, 2186, 10132, 2487, 85, 20171, 1062, 3814, 1087, 22749, 7127, 2093, 1065, 1625, 1014, 9076, 6604, 2905, 6957, 3723, 14820, 13765, 2013, 1094, 5405, 1009, 3099, 16327, 1332, 4065, 1118, 1616, 1298, 13718, 20751, 1006, 1094, 26292, 1054, 1235, 4592, 2212, 3121, 1006, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 1005, 2539, 1734, 3124, 4846, 1766, 3460, 16220, 1009, 3918, 11327, 1766, 15930, 1348, 1090, 1097, 14003, 1175, 1128, 5009, 1230, 1009, 4449, 2800, 14149, 3918, 11327, 1043, 21356, 1348, 1090, 1097, 14003, 7463, 3083, 49, 5394, 44, 18029, 1138, 21356, 1348, 1090, 1097, 14003, 1096, 1044, 17828, 1009, 2180, 1032, 1036, 1048, 22029, 7111, 1164, 1170, 8593, 4383, 75, 6299, 1009, 6022, 9789, 1005, 15438, 22910, 1533, 4612, 11016, 29809, 2774, 1096, 1094, 14852, 1009, 1094, 4612, 11016, 21082, 1067, 4755, 3504, 2077, 1004, 1316, 12738, 84, 3835, 3556, 2595, 2250, 5626, 7430, 75, 2705, 1164, 1080, 1248, 3556, 2591, 1131, 2529, 1146, 5785, 1172, 1662, 1189, 30354, 1046, 1058, 4138, 80, 1241, 1742, 1253, 2680, 15874, 1309, 3691, 1953, 1418, 1056, 1882, 18, 1005, 81, 11943, 79, 3178, 78, 15874, 1953, 15709, 1093, 1034, 11095, 19060, 1311, 1713, 95, 1043, 1026, 1128, 3083, 49, 1025, 74, 2690, 1118, 20671, 4789, 2461, 20, 18486, 1057, 1782, 29, 8071, 88, 88, 1005, 11923, 5812, 23369, 5735, 1843, 1035, 2733, 5411, 10132, 18523, 1102, 4169, 1009, 5606, 20762, 4279, 1048, 1299, 10961, 7215, 2950, 1299, 1325, 1068, 2734, 1930, 2247, 1009, 3291, 7215, 2950, 1299, 1325, 1006, 6388, 5436, 5020, 1048, 4782, 1035, 2733, 8593, 1764, 6656, 2278, 10748, 1058, 1299, 1325, 8857, 1565, 1175, 29789, 2914, 10878, 14607, 28579, 89, 1006, 7256, 3351, 5969, 3669, 95, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 3909, 1197, 3143, 89, 3977, 1064, 2456, 7358, 90, 3095, 76, 5442, 5126, 1318, 2643, 8982, 13266, 1030, 3123, 1858, 1068, 1766, 7841, 1600, 2106, 1048, 6029, 1012, 1046, 1006, 8819, 1009, 4238, 32, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 30748, 31993, 89, 3713, 1298, 3524, 1023, 7854, 1054, 1557, 2733, 1068, 1094, 5286, 1712, 1009, 14512, 1009, 25772, 22925, 32, 16163, 2223, 1134, 6357, 3280, 1005, 28983, 14197, 1972, 13273, 1006, 22741, 1009, 9130, 6865, 1236, 1068, 1752, 3621, 8522, 32, 1570, 2051, 30355, 1896, 2663, 3155, 1009, 12698, 1068, 1026, 1415, 1142, 15866, 15, 1387, 1179, 1662, 1416, 6383, 1081, 1093, 2025, 2262, 4269, 84, 2012, 1080, 22394, 3275, 2174, 90, 1439, 2146, 17855, 2401, 1234, 8244, 1032, 675, 1434, 8982, 2093, 1065, 1625, 2652, 20563, 1668, 20005, 2376, 76, 1027, 6137, 1049, 10132, 1225, 1094, 1751, 9900, 1712, 1294, 1080, 1320, 2223, 19831, 1480, 1009, 8600, 1187, 4620, 2941, 1412, 1048, 1006, 7500, 1957, 1527, 1379, 1043, 1006, 8151, 1009, 6747, 27382, 78, 1803, 6895, 5846, 1157, 29078, 85, 5735, 71, 3361, 1139, 1021, 15517, 1021, 1116, 2798, 4584, 1009, 4062, 5904, 1139, 1021, 1009, 1026, 90, 1209, 1109, 2209, 2184, 4678, 1400, 1866, 95, 1819, 16286, 42, 89, 31623, 3980, 9336, 1234, 27282, 28709, 15, 1106, 8162, 96, 13824, 1230, 1067, 1255, 1019, 1080, 3979, 8905, 1023, 2349, 95, 1297, 2024, 1026, 11351, 1056, 1379, 1315, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 1953, 1081, 81, 1829, 19143, 12260, 1106, 8162, 1016, 1011, 1631, 1139, 1088, 1835, 1176, 96, 1279, 3361, 1139, 2024, 8359, 4077, 7873, 96, 1692, 2963, 1315, 80, 1171, 10317, 11224, 1358, 8359, 4077, 85, 1139, 1088, 1835, 5226, 1008, 1081, 1019, 1009, 81, 1019, 96, 1434, 1317, 5895, 81, 11080, 1434, 80, 2020, 85, 80, 9986, 2752, 8359, 95, 96, 83, 1040, 24326, 1026, 13773, 9957, 6145, 7134, 2020, 3096, 79, 1153, 80, 1197, 2020, 6981, 1015, 2752, 1165, 1035, 2578, 1006, 81, 13941, 3476, 1097, 79, 1026, 1413, 1052, 81, 1363, 3304, 8359, 4077, 7873, 96, 84, 6426, 25392, 5732, 1009, 6714, 25763, 1972, 4305, 1456, 2734, 1229, 1132, 12245, 2643, 1048, 14411, 1044, 8036, 1009, 5975, 1005, 10048, 1094, 12655, 1049, 5974, 4987, 1068, 13339, 20, 1073, 2107, 20, 1211, 1131, 15909, 19268, 1248, 1030, 81, 19, 2144, 19, 25107, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 3320, 26515, 8671, 1603, 1299, 9578, 8307, 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 ]

[ 1178, 6989, 1166, 3960, 10882, 7, 2200, 2257, 1048, 26130, 1184, 1557, 1011, 1412, 2841, 7, 1138, 2666, 1068, 1079, 8134, 4110, 89, 1998, 1118, 3865, 13284, 17020, 7, 2800, 1096, 1048, 1264, 16512, 1006, 5618, 1996, 1049, 1448, 1526, 1047, 37, 28549, 1072, 8407, 1048, 1261, 12562, 1026, 1448, 1526, 1047, 1178, 2736, 1905, 7, 1175, 1084, 5948, 8094, 37, 1138, 1048, 12931, 1251, 3035, 37, 1175, 2188, 13376, 7759, 2188, 13376, 7759, 1424, 1006, 6690, 1048, 1030, 7913, 1026, 25866, 162, 11217, 4108, 4108, 1663, 1044, 2933, 7, 1603, 1026, 2554, 1188, 1160, 1173, 11206, 1117, 7881, 7797, 1126, 3230, 1261, 8587, 3330, 1026, 2933, 7759, 2013, 2122, 29917, 1287, 1713, 1356, 2677, 2390, 7759, 1175, 5260, 88, 1715, 7408, 3947, 1026, 2677, 2390, 1566, 7514, 2979, 1715, 1175, 1063, 10346, 2975, 1096, 9027, 1309, 1195, 1287, 1713, 1118, 4327, 3062, 1049, 2480, 2784, 1998, 1160, 5192, 1118, 2306, 7, 2013, 14726, 1049, 5196, 11792, 11021, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 1984, 27290, 1779, 5812, 32, 13492, 1235, 9518, 84, 1304, 6174, 21924, 1009, 11003, 10369, 2593, 1752, 1472, 1184, 5859, 17670, 14354, 4108, 1026, 8190, 1049, 25823, 86, 11721, 16743, 1184, 19044, 1049, 1048, 28333, 1377, 2034, 25754, 1327, 12818, 1048, 12356, 1048, 1566, 4929, 2383, 18896, 2585, 1998, 4803, 10218, 13520, 28592, 1068, 5184, 1680, 2237, 2360, 23070, 1195, 4661, 1094, 9050, 1009, 17800, 1068, 1026, 2666, 3019, 8733, 1717, 1026, 12424, 4906, 1726, 15433, 2721, 5735, 1367, 1157, 1791, 29858, 1009, 6648, 1160, 13613, 73, 14050, 1026, 21719, 4126, 1118, 2824, 2400, 19694, 8384, 1094, 3616, 11486, 1026, 1156, 94, 1133, 86, 23801, 4480, 1963, 1160, 6054, 7, 2503, 5373, 1208, 10019, 1239, 7, 4419, 4975, 1006, 1178, 1049, 7912, 1027, 7, 675, 140, 20562, 53, 85, 1100, 10019, 1239, 1005, 140, 20562, 53, 85, 7, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 21501, 8037, 10620, 23079, 13492, 1235, 9518, 84, 1304, 11731, 1096, 1048, 2122, 11003, 2155, 1058, 27025, 1024, 37, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 12150, 5963, 1101, 5812, 32, 13492, 1235, 9518, 84, 1304, 12266, 1118, 11069, 2200, 1088, 2297, 1060, 26312, 1726, 8260, 24617, 10620, 23079, 13492, 1235, 9518, 84, 1304, 1467, 162, 1325, 1094, 3597, 1049, 6491, 1009, 7925, 1005, 5556, 1048, 1096, 9653, 71, 1009, 21229, 25639, 20476, 1006, 9050, 6954, 1259, 1105, 1013, 1224, 6461, 2762, 1205, 1316, 2940, 1356, 1134, 1154, 9401, 8, 1071, 12784, 2307, 13747, 9026, 1096, 17751, 1132, 19832, 1006, 8853, 1397, 88, 1005, 4531, 1184, 7383, 1580, 1726, 1564, 1016, 1213, 25823, 86, 24389, 20564, 1044, 7927, 1048, 5500, 1787, 150, 1132, 19832, 1048, 2167, 7142, 1124, 5795, 1184, 1757, 16006, 8245, 1009, 1953, 5828, 1043, 3195, 11093, 1021, 1259, 6420, 1026, 1807, 9291, 2734, 1945, 1094, 7182, 1039, 5780, 1068, 2693, 1006, 2700, 10358, 3782, 1096, 1048, 1096, 18687, 675, 159, 1021, 37, 23721, 1213, 6491, 1009, 7925, 7, 1063, 9050, 1566, 1325, 1581, 1819, 1068, 1026, 2666, 1009, 8067, 1726, 3186, 5564, 2041, 1717, 1026, 5315, 1093, 27422, 1, 5459, 1280, 1487, 4686, 1068, 6631, 1006, 1224, 2612, 1005, 1184, 1487, 4686, 1068, 13527, 1044, 24568, 1009, 9666, 3872, 3143, 4830, 1138, 2143, 2446, 5544, 20124, 1026, 4465, 1049, 4410, 20, 2034, 10539, 1009, 6714, 14707, 1356, 1005, 58, 2678, 5241, 9019, 21662, 18, 5171, 58, 1625, 1870, 3117, 3965, 1067, 1434, 1208, 12709, 2275, 1776, 2017, 6518, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 3143, 83, 10510, 1049, 3099, 1784, 9447, 1006, 1871, 1009, 6550, 4441, 16220, 1693, 1178, 24745, 25371, 1068, 9164, 4883, 1005, 9501, 3909, 2565, 1680, 1159, 1298, 1178, 3778, 1054, 9150, 1100, 1054, 3957, 1043, 1073, 21867, 1009, 13269, 1005, 4241, 1009, 1244, 13323, 1603, 1026, 1048, 1299, 1919, 9207, 1299, 27078, 5047, 1213, 6573, 1048, 1299, 2521, 10948, 7462, 1271, 11189, 1054, 15068, 1124, 11189, 1160, 17671, 2012, 1160, 16878, 10512, 1078, 1135, 1009, 16872, 1377, 1138, 18355, 1009, 9774, 11283, 1009, 5496, 1054, 2579, 5920, 6389, 1005, 1734, 3480, 5036, 17778, 2490, 2376, 152, 1164, 6651, 27629, 1925, 3725, 20, 1172, 96, 16720, 4066, 7315, 1311, 11095, 3782, 8981, 5501, 1094, 4272, 1009, 3275, 1469, 1012, 1439, 1005, 5641, 1072, 1592, 1415, 1009, 14288, 1213, 1592, 1557, 1028, 74, 2690, 1054, 1094, 28292, 6166, 52, 48, 62, 54, 1079, 1068, 1663, 1026, 8982, 24823, 2204, 12994, 20922, 1111, 1013, 10989, 2628, 1703, 2507, 1767, 6014, 10761, 24081, 2933, 74, 10132, 1064, 1835, 1065, 29592, 29976, 1809, 17855, 2401, 22238, 1093, 1274, 1171, 1745, 1792, 4103, 1030, 2703, 1018, 6821, 2193, 13843, 74, 5067, 2186, 1274, 16611, 1669, 1057, 1016, 3020, 2020, 7170, 1015, 1098, 2179, 1140, 8532, 1600, 11476, 1029, 1234, 3147, 21504, 1049, 1692, 8532, 1006, 24081, 9583, 1251, 8874, 2501, 5067, 2279, 90, 1253, 2186, 12621, 1036, 19387, 29155, 1060, 11441, 8593, 1953, 3035, 675, 1523, 3755, 1804, 81, 24610, 1065, 1064, 1056, 80, 1088, 2398, 2077, 8532, 74, 8803, 1009, 1590, 1056, 19999, 1953, 75, 1634, 4340, 1034, 1059, 28, 2102, 18, 4540, 11853, 13463, 1054, 6888, 1068, 3741, 56, 13702, 44, 9327, 1005, 6530, 1068, 1006, 4958, 5741, 1009, 6714, 20, 1175, 2595, 2228, 12150, 3413, 22362, 58, 1063, 14083, 24097, 3275, 1491, 90, 1439, 1313, 12756, 17756, 1063, 2789, 2401, 31615, 1133, 1986, 2808, 3790, 1054, 1559, 1059, 8182, 84, 2012, 13929, 3910, 1005, 4885, 2146, 17855, 11476, 2694, 1054, 1720, 1009, 9961, 1046, 89, 1068, 4845, 1096, 1050, 10563, 92, 1301, 9536, 2796, 6189, 7631, 1839, 1005, 3130, 1106, 22394, 1026, 17820, 6239, 1717, 5257, 89, 15191, 24008, 2278, 10040, 1600, 95, 1006, 1642, 75, 1098, 15602, 1234, 2186, 7788, 2604, 1661, 1041, 2488, 2186, 16327, 6852, 2604, 1006, 3504, 1018, 16499, 7468, 20, 5621, 11973, 7933, 24081, 3229, 10132, 4583, 1021, 3144, 15573, 9520, 1159, 14333, 4331, 1005, 1765, 7128, 1371, 3004, 1068, 5184, 13037, 1235, 10062, 2487, 152, 1027, 1235, 3041, 1009, 1557, 1005, 5020, 11232, 1068, 16327, 1332, 87, 89, 1206, 1068, 4885, 1163, 18849, 1068, 6529, 1235, 21951, 1009, 6573, 1005, 2916, 1009, 5884, 4051, 1068, 1752, 6545, 9291, 1106, 7853, 1157, 1132, 2470, 1010, 1184, 9789, 7109, 1005, 71, 5535, 156, 170, 1476, 1009, 6714, 1184, 3467, 4889, 21599, 1551, 1106, 22394, 4351, 4618, 6539, 168, 1007, 5500, 4747, 1068, 1456, 2500, 26381, 1009, 2612, 1009, 3910, 2161, 7550, 2237, 2242, 1006, 7160, 1009, 1858, 1048, 1298, 13718, 1009, 1023, 7854, 1054, 3235, 1009, 9430, 3121, 1006, 1015, 1255, 16923, 1005, 27003, 2852, 5010, 1134, 7238, 1009, 1128, 1016, 3755, 1803, 12543, 4487, 2790, 1006, 6079, 12543, 4487, 1009, 1201, 3858, 25121, 4650, 1155, 6584, 1009, 15939, 1100, 1134, 1956, 2850, 1005, 24241, 3840, 5936, 6762, 24376, 3377, 57, 1189, 2123, 1340, 2399, 2059, 1011, 4528, 74, 1262, 9329, 1071, 15624, 2059, 4121, 1167, 1422, 1172, 1418, 1074, 1761, 19530, 54, 4826, 42, 1349, 24758, 3073, 95, 1051, 1692, 8130, 3951, 1141, 11124, 2732, 1108, 7385, 95, 1486, 11923, 1903, 1139, 30213, 1047, 2582, 1090, 23722, 1020, 1139, 6076, 75, 1043, 1285, 1286, 1061, 1009, 4825, 2918, 20, 8593, 1096, 1044, 1807, 19617, 28630, 1114, 16442, 1009, 21516, 1009, 3047, 26509, 2654, 3768, 1616, 2301, 1094, 8239, 17527, 1766, 5870, 16089, 1596, 16966, 2301, 1026, 13402, 1766, 5870, 26562, 1596, 16966, 2301, 1026, 13402, 11646, 1067, 1255, 16923, 1208, 9302, 1068, 18792, 30216, 3204, 2859, 4955, 3918, 11327, 1005, 5420, 2754, 6962, 4851, 1009, 13371, 1009, 6022, 2875, 1417, 1318, 2185, 2315, 1044, 3159, 1009, 6550, 1048, 31631, 19578, 1118, 1307, 2250, 1068, 6052, 7895, 2034, 2266, 4496, 1160, 1826, 1620, 5262, 1054, 12217, 20, 17383, 1031, 2872, 1637, 8647, 22904, 7753, 1444, 4096, 3861, 1064, 82, 73, 2604, 12232, 1056, 7547, 1253, 9694, 1006, 1143, 1085, 1015, 7179, 13732, 1816, 23199, 1098, 4370, 1429, 2005, 78, 6138, 1007, 5134, 3812, 16506, 1098, 79, 1395, 1076, 86, 20488, 3158, 2200, 1195, 17796, 1068, 8430, 1024, 1124, 6106, 1049, 29221, 1680, 1159, 17704, 1006, 9183, 1005, 8083, 1890, 2979, 1271, 10900, 20, 4378, 1096, 1006, 3069, 9636, 1009, 1159, 26502, 25772, 22925, 2257, 3295, 27, 2744, 1054, 1963, 2502, 1009, 4209, 20373, 1054, 2992, 1067, 89, 13871, 4210, 1986, 1026, 4465, 1049, 27669, 30506, 6843, 6238, 96, 93, 2649, 2482, 89, 5067, 2186, 10132, 2487, 85, 20171, 1062, 3814, 1087, 22749, 7127, 2093, 1065, 1625, 1014, 9076, 6604, 2905, 6957, 3723, 14820, 13765, 2013, 1094, 5405, 1009, 3099, 16327, 1332, 4065, 1118, 1616, 1298, 13718, 20751, 1006, 1094, 26292, 1054, 1235, 4592, 2212, 3121, 1006, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 1005, 2539, 1734, 3124, 4846, 1766, 3460, 16220, 1009, 3918, 11327, 1766, 15930, 1348, 1090, 1097, 14003, 1175, 1128, 5009, 1230, 1009, 4449, 2800, 14149, 3918, 11327, 1043, 21356, 1348, 1090, 1097, 14003, 7463, 3083, 49, 5394, 44, 18029, 1138, 21356, 1348, 1090, 1097, 14003, 1096, 1044, 17828, 1009, 2180, 1032, 1036, 1048, 22029, 7111, 1164, 1170, 8593, 4383, 75, 6299, 1009, 6022, 9789, 1005, 15438, 22910, 1533, 4612, 11016, 29809, 2774, 1096, 1094, 14852, 1009, 1094, 4612, 11016, 21082, 1067, 4755, 3504, 2077, 1004, 1316, 12738, 84, 3835, 3556, 2595, 2250, 5626, 7430, 75, 2705, 1164, 1080, 1248, 3556, 2591, 1131, 2529, 1146, 5785, 1172, 1662, 1189, 30354, 1046, 1058, 4138, 80, 1241, 1742, 1253, 2680, 15874, 1309, 3691, 1953, 1418, 1056, 1882, 18, 1005, 81, 11943, 79, 3178, 78, 15874, 1953, 15709, 1093, 1034, 11095, 19060, 1311, 1713, 95, 1043, 1026, 1128, 3083, 49, 1025, 74, 2690, 1118, 20671, 4789, 2461, 20, 18486, 1057, 1782, 29, 8071, 88, 88, 1005, 11923, 5812, 23369, 5735, 1843, 1035, 2733, 5411, 10132, 18523, 1102, 4169, 1009, 5606, 20762, 4279, 1048, 1299, 10961, 7215, 2950, 1299, 1325, 1068, 2734, 1930, 2247, 1009, 3291, 7215, 2950, 1299, 1325, 1006, 6388, 5436, 5020, 1048, 4782, 1035, 2733, 8593, 1764, 6656, 2278, 10748, 1058, 1299, 1325, 8857, 1565, 1175, 29789, 2914, 10878, 14607, 28579, 89, 1006, 7256, 3351, 5969, 3669, 95, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 3909, 1197, 3143, 89, 3977, 1064, 2456, 7358, 90, 3095, 76, 5442, 5126, 1318, 2643, 8982, 13266, 1030, 3123, 1858, 1068, 1766, 7841, 1600, 2106, 1048, 6029, 1012, 1046, 1006, 8819, 1009, 4238, 32, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 30748, 31993, 89, 3713, 1298, 3524, 1023, 7854, 1054, 1557, 2733, 1068, 1094, 5286, 1712, 1009, 14512, 1009, 25772, 22925, 32, 16163, 2223, 1134, 6357, 3280, 1005, 28983, 14197, 1972, 13273, 1006, 22741, 1009, 9130, 6865, 1236, 1068, 1752, 3621, 8522, 32, 1570, 2051, 30355, 1896, 2663, 3155, 1009, 12698, 1068, 1026, 1415, 1142, 15866, 15, 1387, 1179, 1662, 1416, 6383, 1081, 1093, 2025, 2262, 4269, 84, 2012, 1080, 22394, 3275, 2174, 90, 1439, 2146, 17855, 2401, 1234, 8244, 1032, 675, 1434, 8982, 2093, 1065, 1625, 2652, 20563, 1668, 20005, 2376, 76, 1027, 6137, 1049, 10132, 1225, 1094, 1751, 9900, 1712, 1294, 1080, 1320, 2223, 19831, 1480, 1009, 8600, 1187, 4620, 2941, 1412, 1048, 1006, 7500, 1957, 1527, 1379, 1043, 1006, 8151, 1009, 6747, 27382, 78, 1803, 6895, 5846, 1157, 29078, 85, 5735, 71, 3361, 1139, 1021, 15517, 1021, 1116, 2798, 4584, 1009, 4062, 5904, 1139, 1021, 1009, 1026, 90, 1209, 1109, 2209, 2184, 4678, 1400, 1866, 95, 1819, 16286, 42, 89, 31623, 3980, 9336, 1234, 27282, 28709, 15, 1106, 8162, 96, 13824, 1230, 1067, 1255, 1019, 1080, 3979, 8905, 1023, 2349, 95, 1297, 2024, 1026, 11351, 1056, 1379, 1315, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 1027, 1953, 1081, 81, 1829, 19143, 12260, 1106, 8162, 1016, 1011, 1631, 1139, 1088, 1835, 1176, 96, 1279, 3361, 1139, 2024, 8359, 4077, 7873, 96, 1692, 2963, 1315, 80, 1171, 10317, 11224, 1358, 8359, 4077, 85, 1139, 1088, 1835, 5226, 1008, 1081, 1019, 1009, 81, 1019, 96, 1434, 1317, 5895, 81, 11080, 1434, 80, 2020, 85, 80, 9986, 2752, 8359, 95, 96, 83, 1040, 24326, 1026, 13773, 9957, 6145, 7134, 2020, 3096, 79, 1153, 80, 1197, 2020, 6981, 1015, 2752, 1165, 1035, 2578, 1006, 81, 13941, 3476, 1097, 79, 1026, 1413, 1052, 81, 1363, 3304, 8359, 4077, 7873, 96, 84, 6426, 25392, 5732, 1009, 6714, 25763, 1972, 4305, 1456, 2734, 1229, 1132, 12245, 2643, 1048, 14411, 1044, 8036, 1009, 5975, 1005, 10048, 1094, 12655, 1049, 5974, 4987, 1068, 13339, 20, 1073, 2107, 20, 1211, 1131, 15909, 19268, 1248, 1030, 81, 19, 2144, 19, 25107, 8071, 1439, 18792, 30216, 8039, 1009, 5292, 2487, 3320, 26515, 8671, 1603, 1299, 9578, 8307, 1009 ]

[ 6442, 11479, 1295, 2404, 1049, 14539, 1691, 1018, 1078, 14764, 1, 14529, 1253, 3306, 1021, 7308, 7551, 1308, 5238, 14529, 1253, 27585, 1009, 28070, 1, 12333, 1060, 6068, 6990, 1298, 1058, 14436, 1006, 32, 1537, 12333, 1060, 6068, 6990, 1060, 8250, 5, 12333, 1060, 6068, 6990, 1049, 2956, 1009, 14582, 5, 12333, 1060, 6068, 6990, 1049, 2956, 1009, 1764, 2434, 5, 12333, 1060, 6068, 6990, 1049, 8921, 5, 12333, 1060, 6068, 6990, 1009, 13704, 30707, 1, 1138, 2430, 2139, 8729, 1932, 85, 1009, 1809, 5999, 1096, 1094, 2236, 1049, 15252, 1009, 8809, 9487, 1038, 17570, 17342, 3027, 1026, 1720, 1054, 7419, 1006, 8628, 1809, 5999, 1054, 1578, 5402, 1511, 27916, 2808, 1026, 3709, 1060, 6725, 2275, 3705, 2430, 2139, 1009, 28136, 1325, 5062, 1006, 8223, 1005, 1026, 2430, 2139, 1009, 1809, 88, 96, 1954, 24900, 1006, 8100, 20, 4116, 3821, 1325, 5062, 1026, 2430, 2139, 1009, 24414, 1092, 3818, 2310, 2555, 12792, 1932, 1009, 8628, 1809, 5999, 11775, 8381, 1060, 8809, 1110, 1131, 32, 3255, 5999, 1, 3753, 27398, 18515, 2807, 27398, 4206, 14611, 18515, 2807, 27398, 28415, 27585, 1009, 16975, 15579, 1, 1138, 8688, 1009, 30287, 1045, 4479, 2057, 1096, 1044, 1187, 14877, 28861, 1049, 2497, 8367, 1009, 4143, 9549, 1063, 4799, 1009, 8210, 1096, 1123, 7067, 1606, 18, 1048, 1096, 1318, 1006, 1224, 1712, 8363, 1138, 8210, 1225, 1094, 2236, 1009, 1422, 5205, 28, 2718, 0, 1071, 2502, 2688, 1782, 0, 8469, 0, 1826, 8142, 1118, 3111, 1349, 1094, 2779, 1009, 1422, 5871, 31, 13409, 1005, 1094, 7984, 9909, 1009, 3519, 31, 13259, 0, 23631, 1077, 1026, 6967, 3267, 1009, 3303, 1565, 1138, 8210, 1195, 11606, 1054, 23035, 1005, 1026, 1235, 1720, 2033, 1191, 1049, 4489, 30287, 1045, 4479, 11045, 1048, 3661, 1118, 1224, 1472, 1026, 1235, 1720, 1114, 27804, 1346, 1009, 17752, 1005, 18534, 1118, 3865, 1060, 4281, 1009, 7879, 2415, 3873, 2789, 1045, 6024, 1463, 1569, 12965, 3242, 2789, 1045, 4479, 2057, 1, 9073, 1358, 83, 177, 78, 2407, 2450, 3936, 79, 2029, 91, 1096, 1044, 3338, 1060, 4149, 5062, 1072, 4657, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 18, 2497, 1060, 31756, 4273, 1029, 1065, 3350, 9505, 4798, 1005, 4799, 1049, 2462, 22801, 89, 2051, 75, 7150, 1009, 9073, 1358, 83, 177, 78, 2407, 2450, 3936, 79, 2029, 91, 3818, 2310, 27204, 1009, 9073, 1358, 83, 177, 78, 2407, 2450, 3936, 79, 2029, 91, 5424, 8726, 1060, 31756, 4273, 1029, 1065, 3350, 1, 16290, 27773, 89, 19465, 1096, 1044, 3338, 1060, 4149, 5062, 1072, 4657, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 18, 2497, 1060, 31756, 4273, 1029, 1065, 3350, 2378, 1396, 3387, 1213, 2462, 22801, 89, 2051, 75, 7150, 1009, 3275, 11804, 19465, 20545, 8889, 72, 1320, 3818, 2310, 27204, 1009, 16290, 27773, 89, 19465, 5424, 8726, 1060, 31756, 4273, 1029, 1065, 3350, 1, 9093, 3669, 1096, 1044, 3338, 1060, 4149, 5062, 1072, 4657, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 18, 2497, 1060, 31756, 4273, 1029, 1065, 3350, 2378, 1396, 3387, 1213, 2462, 22801, 89, 2051, 75, 7150, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 4134, 177, 74, 3818, 2310, 27204, 1009, 9093, 3669, 5424, 8726, 1060, 31756, 4273, 1029, 1065, 3350, 1759, 3969, 3669, 1, 1063, 4397, 7134, 5585, 1060, 2576, 4906, 1716, 5280, 1503, 158, 1206, 1503, 159, 1071, 1444, 9148, 32, 1084, 0, 1259, 3921, 15, 1096, 1094, 1271, 11547, 2153, 2215, 1558, 1140, 1118, 2916, 1009, 7583, 27, 2744, 1009, 1783, 1071, 2905, 2688, 6514, 1910, 16381, 1159, 2750, 4397, 1349, 3587, 1054, 1163, 5221, 1128, 2560, 1005, 1054, 4341, 18373, 20584, 1006, 4397, 2950, 1132, 18445, 1048, 1006, 1558, 2241, 1327, 23179, 8903, 1072, 1561, 1288, 1132, 5169, 1009, 5030, 5585, 1163, 1259, 19182, 1206, 1620, 5030, 2024, 9298, 1165, 169, 20, 1138, 7134, 2024, 1096, 1751, 1009, 1044, 2417, 1009, 11547, 9230, 13863, 3509, 1080, 19182, 31487, 1371, 1060, 1163, 1685, 19866, 1233, 18980, 14559, 3424, 14218, 11547, 1080, 1438, 5241, 13971, 1005, 1750, 1377, 2800, 2089, 11547, 1080, 9041, 7134, 2024, 1096, 1094, 4397, 16403, 1029, 1879, 10447, 1056, 1291, 7719, 4815, 1171, 7861, 4913, 9565, 1313, 7293, 9565, 9415, 2653, 1004, 2187, 1480, 1005, 8861, 4275, 1009, 7134, 2024, 1005, 2754, 2089, 11547, 1080, 1438, 20, 11063, 5141, 1573, 1048, 26168, 1114, 7134, 2024, 5241, 30161, 18549, 1013, 4519, 15323, 15161, 1349, 16133, 84, 81, 8594, 79, 10358, 4611, 1162, 4593, 1081, 10932, 19485, 4405, 1349, 28395, 7619, 12084, 4138, 3873, 16820, 10932, 2468, 1349, 8291, 1073, 9711, 79, 21230, 3380, 10932, 1064, 1774, 1031, 3656, 1349, 7712, 1483, 14538, 25463, 4070, 18100, 4470, 1961, 5141, 4136, 15722, 11150, 1349, 15778, 27479, 1119, 6905, 1434, 18100, 4470, 1961, 19485, 4405, 15, 1005, 12383, 2346, 24149, 3414, 1203, 12142, 15, 9505, 1094, 4397, 29267, 1049, 25804, 1030, 1069, 22102, 1890, 1026, 3009, 19128, 1072, 9826, 1009, 1063, 3431, 1048, 15715, 1072, 2709, 1187, 9227, 1128, 2560, 1005, 4341, 18373, 2013, 7356, 1006, 4599, 1049, 2417, 5141, 6567, 2153, 14901, 1138, 7134, 2024, 1096, 1094, 4397, 1049, 2417, 1144, 162, 3265, 3883, 29572, 1567, 5536, 2404, 1257, 2584, 6704, 1096, 1048, 1026, 1720, 1716, 158, 1195, 6440, 1006, 4440, 1048, 1058, 23837, 1006, 2323, 1060, 11221, 1271, 8879, 1063, 1420, 1005, 1060, 2779, 2386, 1114, 8506, 24263, 11838, 1187, 12864, 9227, 1060, 18980, 18, 4341, 1053, 1005, 1128, 1185, 1667, 4733, 15378, 1049, 7838, 1030, 1130, 7303, 1009, 4561, 19404, 158, 1072, 3009, 11583, 18, 1195, 16288, 6440, 1026, 20589, 9148, 1005, 4502, 5280, 2464, 1114, 14577, 3725, 1393, 1026, 5449, 1206, 12820, 1060, 3161, 6167, 8152, 9826, 2893, 71, 1624, 4952, 1187, 20589, 15579, 29004, 1054, 11547, 28152, 2136, 1412, 2625, 20682, 4065, 8769, 1058, 1006, 10893, 5857, 1206, 1160, 1009, 1734, 15916, 6578, 3662, 5494, 1159, 15088, 19626, 24259, 28090, 7088, 0, 39, 23356, 1132, 16967, 1480, 1060, 18088, 1131, 1088, 15767, 7158, 1129, 27126, 29054, 26111, 2794, 1097, 2590, 7158, 1129, 1896, 1049, 3826, 1060, 4149, 15, 1009, 1106, 1656, 3933, 1048, 1596, 4524, 1054, 1163, 1685, 1054, 10666, 2525, 20682, 1412, 7134, 2024, 6977, 2068, 1114, 19485, 4405, 9755, 15, 1831, 1005, 93, 14270, 1846, 3405, 1208, 1005, 6736, 1005, 5921, 8519, 29550, 1356, 16927, 9893, 1344, 93, 1956, 3645, 1565, 1766, 27406, 1009, 4431, 28743, 1202, 1026, 2020, 1159, 1054, 2020, 1024, 1538, 25283, 2820, 2097, 1006, 7743, 1124, 15959, 1365, 1026, 1050, 1005, 1026, 1005, 6851, 10262, 1006, 21085, 2847, 6814, 1716, 78, 18660, 1482, 15088, 4215, 1096, 4823, 1159, 1005, 5921, 1026, 1720, 1060, 4397, 2893, 25063, 1005, 2490, 4395, 4397, 1096, 1558, 1140, 3587, 1054, 1163, 5221, 1128, 2560, 1005, 1054, 4341, 18373, 22870, 1009, 7583, 27, 2744, 1009, 1783, 1006, 31169, 33, 5856, 7583, 27, 2744, 1009, 6963, 6514, 1910, 1006, 16381, 1159, 2750, 29723, 1377, 2013, 2967, 6336, 1294, 2967, 2972, 24281, 1005, 9190, 11676, 3423, 2668, 3702, 1160, 2374, 1094, 4397, 3092, 1054, 3819, 6402, 1096, 5483, 1054, 25635, 2717, 2565, 27962, 18391, 1004, 2187, 5454, 8861, 4275, 1005, 9800, 33, 1837, 1094, 10893, 1060, 15534, 1054, 7134, 2024, 11920, 1009, 1006, 212, 82, 250, 18, 1048, 1096, 1006, 2068, 1060, 4397, 27196, 1837, 2125, 1734, 12317, 6837, 32, 1026, 5109, 14559, 1672, 8518, 250, 1005, 1009, 5113, 1104, 18660, 21570, 94, 250, 20411, 1006, 6746, 19866, 1049, 3821, 1009, 1128, 2560, 1005, 1026, 1009, 5113, 31318, 1006, 8894, 6814, 1009, 1592, 1720, 3110, 1081, 2404, 12166, 1185, 1102, 3367, 4397, 3134, 5492, 22697, 1102, 1026, 5322, 1005, 3251, 1463, 5048, 1063, 4806, 4331, 16875, 1111, 1102, 22697, 1102, 1072, 27839, 19485, 5361, 4750, 3106, 44, 21981, 2083, 1063, 22697, 1029, 2135, 253, 21, 1096, 12496, 1233, 1944, 22697, 1029, 1060, 5133, 1054, 4894, 1516, 1005, 2135, 250, 21, 1233, 1009, 9295, 1276, 2135, 75, 21, 31796, 1371, 1233, 1944, 22697, 1029, 1009, 1264, 1005, 2135, 85, 21, 1233, 1009, 1026, 1066, 1276, 1124, 22697, 1102, 2135, 79, 21, 18, 2135, 91, 21, 18, 2135, 253, 21, 18, 2135, 250, 21, 1005, 2135, 71, 21, 1693, 1178, 1463, 25718, 2474, 9154, 1708, 3367, 4806, 1006, 4054, 4277, 1026, 11160, 1304, 1376, 1081, 1120, 1029, 1060, 4397, 7134, 2024, 1072, 18839, 47, 2083, 2135, 83, 21, 1005, 2135, 212, 21, 1693, 1178, 5591, 2795, 1391, 2170, 1511, 1026, 19070, 2643, 2468, 3266, 1276, 1132, 11307, 2135, 81, 291, 86, 21, 18, 2135, 254, 291, 72, 21, 18, 2135, 90, 5208, 1005, 2135, 74, 96, 21, 1160, 12489, 16847, 1005, 1327, 18892, 28743, 1077, 1124, 2156, 25021, 1708, 17949, 1276, 2135, 86, 21, 1096, 3778, 29948, 7016, 1054, 19493, 1276, 2135, 0, 21, 1096, 20674, 2408, 1043, 1006, 12124, 1060, 4397, 1717, 1026, 1881, 1458, 14028, 1276, 2135, 0, 21, 1005, 2135, 318, 21, 1327, 20674, 3259, 1511, 1026, 1238, 5103, 1118, 1094, 6222, 1365, 1132, 26407, 3772, 3020, 3367, 19184, 1159, 2089, 11547, 1060, 6442, 1681, 1352, 1024, 8107, 7134, 2024, 1096, 1094, 4397, 16403, 3424, 8886, 1015, 1690, 11235, 1225, 1044, 2468, 18, 1048, 1298, 1178, 3910, 7092, 1298, 1178, 4949, 1159, 3910, 1206, 11184, 15, 1206, 1160, 3910, 7610, 3455, 1206, 6571, 1565, 5030, 2024, 1096, 1044, 2991, 14174, 1009, 1094, 4397, 1054, 1048, 1026, 2468, 1096, 3179, 10951, 1064, 1774, 2867, 20, 28830, 1048, 1755, 83, 1657, 1054, 2468, 2643, 30868, 9450, 14197, 1030, 168, 1538, 1947, 24249, 13, 1005, 1030, 167, 27084, 175, 76, 5072, 2820, 1118, 2991, 1879, 88, 1164, 2847, 22528, 75, 2024, 1096, 4823, 1072, 27839, 10447, 1577, 1009, 5231, 18, 1048, 1096, 1026, 27839, 19314, 1043, 2350, 9099, 8008, 18, 2350, 1271, 2688, 1327, 8613, 1312, 1049, 27839, 19485, 5361, 17072, 6230, 18232, 1068, 11042, 10592, 2776, 1916, 1063, 4806, 4331, 4955, 1006, 10421, 1005, 1026, 1235, 29436, 2058, 2083, 2366, 1030, 1061, 1071, 0, 15, 1096, 10053, 1322, 22697, 1102, 1068, 12742, 1463, 2983, 20, 1138, 2468, 1160, 1096, 4215, 11271, 1114, 27196, 10868, 1054, 2088, 4278, 7274, 1048, 25403, 1006, 1169, 11293, 2094, 1159, 1026, 1109, 9540, 1060, 1944, 3271, 1049, 23959, 1025, 162, 22144, 1417, 2820, 11271, 1043, 1044, 1251, 1147, 5490, 1136, 1071, 0, 15, 1068, 12529, 27544, 1060, 2750, 3271, 1049, 23959, 18341, 1538, 92, 1417, 2820, 1005, 1026, 1109, 9540, 1060, 2750, 3271, 1049, 19681, 2020, 167, 1538, 1410, 13, 1096, 11271, 1043, 1044, 1251, 1147, 11166, 21882, 15, 1068, 12529, 27544, 1049, 1109, 9540, 1060, 5994, 3271, 1049, 23959, 2020, 85, 1538, 3294, 13, 5148, 1202, 2672, 3160, 2440, 16190, 3160, 1275, 1102, 12613, 11439, 16190, 7531, 1755, 83, 1068, 1511, 17901, 1159, 13366, 1206, 1159, 3820, 2170, 1992, 1159, 1132, 26602, 6875, 1160, 2643, 21152, 1118, 4796, 8861, 1065, 2867, 2083, 4878, 19609, 2083, 10887, 1620, 1006, 1871, 17711, 1187, 11439, 16190, 15333, 1054, 1048, 1160, 1837, 21152, 1365, 13366, 1005, 3820, 1005, 1048, 1160, 1298, 1178, 3778, 7573, 1996, 1009, 1044, 27052, 2083, 4878, 19609, 2083, 54, 3281, 1262, 1727, 19986, 11439, 16190, 1510, 1262, 1727, 1009, 1944, 1005, 2750, 3271, 19681, 11138, 31309, 2752, 162, 75, 1005, 675, 237, 175, 1434, 15, 1693, 10181, 1996, 1206, 1846, 1049, 26602, 1343, 2170, 1054, 26602, 1727, 15662, 1048, 1201, 5254, 1403, 8791, 18, 1178, 1765, 8381, 1072, 2191, 1060, 28201, 1159, 1054, 675, 212, 1529, 1814, 1538, 17458, 1563, 13, 1005, 675, 212, 91, 93, 167, 72, 1814, 1538, 1133, 91, 7887, 1563, 13, 33, 1294, 1734, 9677, 1026, 1109, 9540, 1096, 3778, 1996, 1049, 26602, 13292, 1955, 19609, 2083, 31781, 4535, 28075, 75, 2024, 3134, 1026, 1109, 9540, 22649, 16351, 7302, 23959, 1096, 4384, 93, 168, 20, 1603, 1026, 26602, 1343, 1006, 1048, 4384, 1058, 4768, 1325, 1072, 23959, 18, 1160, 1096, 1026, 26602, 1343, 1048, 6706, 1026, 6550, 23959, 18, 1309, 24836, 1505, 2991, 2083, 14864, 8512, 2083, 22267, 1042, 1120, 1727, 3367, 4397, 1160, 3134, 14236, 8861, 7772, 5048, 1138, 23959, 1009, 26602, 1727, 1096, 9110, 2328, 1060, 16723, 1049, 1109, 9540, 4987, 1060, 5994, 3271, 1049, 23959, 2170, 1058, 9959, 1044, 2941, 1526, 20498, 5460, 1109, 9540, 1206, 1403, 1443, 1343, 1349, 1026, 25737, 1096, 17057, 1986, 1264, 2083, 1006, 1871, 23959, 1009, 1173, 162, 1538, 150, 22677, 13, 1096, 1173, 162, 15962, 1538, 150, 3549, 1888, 11507, 2311, 250, 1538, 4753, 71, 2820, 2311, 250, 71, 26606, 2573, 13, 12674, 2311, 250, 11503, 85, 1538, 1016, 7122, 11507, 2311, 250, 84, 1538, 1046, 1477, 2820, 1028, 10397, 1538, 28746, 2820, 2311, 250, 84, 9986, 75, 1538, 28746, 5399, 13, 12674, 2311, 250, 84, 9986, 157, 93, 168, 1538, 1285, 1093, 5410, 13, 25580, 9545 ]

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

[ 6442, 11479, 1295, 2404, 1049, 14539, 1691, 1018, 1078, 14764, 1, 14529, 1253, 3306, 1021, 7308, 7551, 1308, 5238, 14529, 1253, 27585, 1009, 28070, 1, 12333, 1060, 6068, 6990, 1298, 1058, 14436, 1006, 32, 1537, 12333, 1060, 6068, 6990, 1060, 8250, 5, 12333, 1060, 6068, 6990, 1049, 2956, 1009, 14582, 5, 12333, 1060, 6068, 6990, 1049, 2956, 1009, 1764, 2434, 5, 12333, 1060, 6068, 6990, 1049, 8921, 5, 12333, 1060, 6068, 6990, 1009, 13704, 30707, 1, 1138, 2430, 2139, 8729, 1932, 85, 1009, 1809, 5999, 1096, 1094, 2236, 1049, 15252, 1009, 8809, 9487, 1038, 17570, 17342, 3027, 1026, 1720, 1054, 7419, 1006, 8628, 1809, 5999, 1054, 1578, 5402, 1511, 27916, 2808, 1026, 3709, 1060, 6725, 2275, 3705, 2430, 2139, 1009, 28136, 1325, 5062, 1006, 8223, 1005, 1026, 2430, 2139, 1009, 1809, 88, 96, 1954, 24900, 1006, 8100, 20, 4116, 3821, 1325, 5062, 1026, 2430, 2139, 1009, 24414, 1092, 3818, 2310, 2555, 12792, 1932, 1009, 8628, 1809, 5999, 11775, 8381, 1060, 8809, 1110, 1131, 32, 3255, 5999, 1, 3753, 27398, 18515, 2807, 27398, 4206, 14611, 18515, 2807, 27398, 28415, 27585, 1009, 16975, 15579, 1, 1138, 8688, 1009, 30287, 1045, 4479, 2057, 1096, 1044, 1187, 14877, 28861, 1049, 2497, 8367, 1009, 4143, 9549, 1063, 4799, 1009, 8210, 1096, 1123, 7067, 1606, 18, 1048, 1096, 1318, 1006, 1224, 1712, 8363, 1138, 8210, 1225, 1094, 2236, 1009, 1422, 5205, 28, 2718, 0, 1071, 2502, 2688, 1782, 0, 8469, 0, 1826, 8142, 1118, 3111, 1349, 1094, 2779, 1009, 1422, 5871, 31, 13409, 1005, 1094, 7984, 9909, 1009, 3519, 31, 13259, 0, 23631, 1077, 1026, 6967, 3267, 1009, 3303, 1565, 1138, 8210, 1195, 11606, 1054, 23035, 1005, 1026, 1235, 1720, 2033, 1191, 1049, 4489, 30287, 1045, 4479, 11045, 1048, 3661, 1118, 1224, 1472, 1026, 1235, 1720, 1114, 27804, 1346, 1009, 17752, 1005, 18534, 1118, 3865, 1060, 4281, 1009, 7879, 2415, 3873, 2789, 1045, 6024, 1463, 1569, 12965, 3242, 2789, 1045, 4479, 2057, 1, 9073, 1358, 83, 177, 78, 2407, 2450, 3936, 79, 2029, 91, 1096, 1044, 3338, 1060, 4149, 5062, 1072, 4657, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 18, 2497, 1060, 31756, 4273, 1029, 1065, 3350, 9505, 4798, 1005, 4799, 1049, 2462, 22801, 89, 2051, 75, 7150, 1009, 9073, 1358, 83, 177, 78, 2407, 2450, 3936, 79, 2029, 91, 3818, 2310, 27204, 1009, 9073, 1358, 83, 177, 78, 2407, 2450, 3936, 79, 2029, 91, 5424, 8726, 1060, 31756, 4273, 1029, 1065, 3350, 1, 16290, 27773, 89, 19465, 1096, 1044, 3338, 1060, 4149, 5062, 1072, 4657, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 18, 2497, 1060, 31756, 4273, 1029, 1065, 3350, 2378, 1396, 3387, 1213, 2462, 22801, 89, 2051, 75, 7150, 1009, 3275, 11804, 19465, 20545, 8889, 72, 1320, 3818, 2310, 27204, 1009, 16290, 27773, 89, 19465, 5424, 8726, 1060, 31756, 4273, 1029, 1065, 3350, 1, 9093, 3669, 1096, 1044, 3338, 1060, 4149, 5062, 1072, 4657, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 18, 2497, 1060, 31756, 4273, 1029, 1065, 3350, 2378, 1396, 3387, 1213, 2462, 22801, 89, 2051, 75, 7150, 1009, 1344, 1102, 1248, 1226, 1088, 1227, 4134, 177, 74, 3818, 2310, 27204, 1009, 9093, 3669, 5424, 8726, 1060, 31756, 4273, 1029, 1065, 3350, 1759, 3969, 3669, 1, 1063, 4397, 7134, 5585, 1060, 2576, 4906, 1716, 5280, 1503, 158, 1206, 1503, 159, 1071, 1444, 9148, 32, 1084, 0, 1259, 3921, 15, 1096, 1094, 1271, 11547, 2153, 2215, 1558, 1140, 1118, 2916, 1009, 7583, 27, 2744, 1009, 1783, 1071, 2905, 2688, 6514, 1910, 16381, 1159, 2750, 4397, 1349, 3587, 1054, 1163, 5221, 1128, 2560, 1005, 1054, 4341, 18373, 20584, 1006, 4397, 2950, 1132, 18445, 1048, 1006, 1558, 2241, 1327, 23179, 8903, 1072, 1561, 1288, 1132, 5169, 1009, 5030, 5585, 1163, 1259, 19182, 1206, 1620, 5030, 2024, 9298, 1165, 169, 20, 1138, 7134, 2024, 1096, 1751, 1009, 1044, 2417, 1009, 11547, 9230, 13863, 3509, 1080, 19182, 31487, 1371, 1060, 1163, 1685, 19866, 1233, 18980, 14559, 3424, 14218, 11547, 1080, 1438, 5241, 13971, 1005, 1750, 1377, 2800, 2089, 11547, 1080, 9041, 7134, 2024, 1096, 1094, 4397, 16403, 1029, 1879, 10447, 1056, 1291, 7719, 4815, 1171, 7861, 4913, 9565, 1313, 7293, 9565, 9415, 2653, 1004, 2187, 1480, 1005, 8861, 4275, 1009, 7134, 2024, 1005, 2754, 2089, 11547, 1080, 1438, 20, 11063, 5141, 1573, 1048, 26168, 1114, 7134, 2024, 5241, 30161, 18549, 1013, 4519, 15323, 15161, 1349, 16133, 84, 81, 8594, 79, 10358, 4611, 1162, 4593, 1081, 10932, 19485, 4405, 1349, 28395, 7619, 12084, 4138, 3873, 16820, 10932, 2468, 1349, 8291, 1073, 9711, 79, 21230, 3380, 10932, 1064, 1774, 1031, 3656, 1349, 7712, 1483, 14538, 25463, 4070, 18100, 4470, 1961, 5141, 4136, 15722, 11150, 1349, 15778, 27479, 1119, 6905, 1434, 18100, 4470, 1961, 19485, 4405, 15, 1005, 12383, 2346, 24149, 3414, 1203, 12142, 15, 9505, 1094, 4397, 29267, 1049, 25804, 1030, 1069, 22102, 1890, 1026, 3009, 19128, 1072, 9826, 1009, 1063, 3431, 1048, 15715, 1072, 2709, 1187, 9227, 1128, 2560, 1005, 4341, 18373, 2013, 7356, 1006, 4599, 1049, 2417, 5141, 6567, 2153, 14901, 1138, 7134, 2024, 1096, 1094, 4397, 1049, 2417, 1144, 162, 3265, 3883, 29572, 1567, 5536, 2404, 1257, 2584, 6704, 1096, 1048, 1026, 1720, 1716, 158, 1195, 6440, 1006, 4440, 1048, 1058, 23837, 1006, 2323, 1060, 11221, 1271, 8879, 1063, 1420, 1005, 1060, 2779, 2386, 1114, 8506, 24263, 11838, 1187, 12864, 9227, 1060, 18980, 18, 4341, 1053, 1005, 1128, 1185, 1667, 4733, 15378, 1049, 7838, 1030, 1130, 7303, 1009, 4561, 19404, 158, 1072, 3009, 11583, 18, 1195, 16288, 6440, 1026, 20589, 9148, 1005, 4502, 5280, 2464, 1114, 14577, 3725, 1393, 1026, 5449, 1206, 12820, 1060, 3161, 6167, 8152, 9826, 2893, 71, 1624, 4952, 1187, 20589, 15579, 29004, 1054, 11547, 28152, 2136, 1412, 2625, 20682, 4065, 8769, 1058, 1006, 10893, 5857, 1206, 1160, 1009, 1734, 15916, 6578, 3662, 5494, 1159, 15088, 19626, 24259, 28090, 7088, 0, 39, 23356, 1132, 16967, 1480, 1060, 18088, 1131, 1088, 15767, 7158, 1129, 27126, 29054, 26111, 2794, 1097, 2590, 7158, 1129, 1896, 1049, 3826, 1060, 4149, 15, 1009, 1106, 1656, 3933, 1048, 1596, 4524, 1054, 1163, 1685, 1054, 10666, 2525, 20682, 1412, 7134, 2024, 6977, 2068, 1114, 19485, 4405, 9755, 15, 1831, 1005, 93, 14270, 1846, 3405, 1208, 1005, 6736, 1005, 5921, 8519, 29550, 1356, 16927, 9893, 1344, 93, 1956, 3645, 1565, 1766, 27406, 1009, 4431, 28743, 1202, 1026, 2020, 1159, 1054, 2020, 1024, 1538, 25283, 2820, 2097, 1006, 7743, 1124, 15959, 1365, 1026, 1050, 1005, 1026, 1005, 6851, 10262, 1006, 21085, 2847, 6814, 1716, 78, 18660, 1482, 15088, 4215, 1096, 4823, 1159, 1005, 5921, 1026, 1720, 1060, 4397, 2893, 25063, 1005, 2490, 4395, 4397, 1096, 1558, 1140, 3587, 1054, 1163, 5221, 1128, 2560, 1005, 1054, 4341, 18373, 22870, 1009, 7583, 27, 2744, 1009, 1783, 1006, 31169, 33, 5856, 7583, 27, 2744, 1009, 6963, 6514, 1910, 1006, 16381, 1159, 2750, 29723, 1377, 2013, 2967, 6336, 1294, 2967, 2972, 24281, 1005, 9190, 11676, 3423, 2668, 3702, 1160, 2374, 1094, 4397, 3092, 1054, 3819, 6402, 1096, 5483, 1054, 25635, 2717, 2565, 27962, 18391, 1004, 2187, 5454, 8861, 4275, 1005, 9800, 33, 1837, 1094, 10893, 1060, 15534, 1054, 7134, 2024, 11920, 1009, 1006, 212, 82, 250, 18, 1048, 1096, 1006, 2068, 1060, 4397, 27196, 1837, 2125, 1734, 12317, 6837, 32, 1026, 5109, 14559, 1672, 8518, 250, 1005, 1009, 5113, 1104, 18660, 21570, 94, 250, 20411, 1006, 6746, 19866, 1049, 3821, 1009, 1128, 2560, 1005, 1026, 1009, 5113, 31318, 1006, 8894, 6814, 1009, 1592, 1720, 3110, 1081, 2404, 12166, 1185, 1102, 3367, 4397, 3134, 5492, 22697, 1102, 1026, 5322, 1005, 3251, 1463, 5048, 1063, 4806, 4331, 16875, 1111, 1102, 22697, 1102, 1072, 27839, 19485, 5361, 4750, 3106, 44, 21981, 2083, 1063, 22697, 1029, 2135, 253, 21, 1096, 12496, 1233, 1944, 22697, 1029, 1060, 5133, 1054, 4894, 1516, 1005, 2135, 250, 21, 1233, 1009, 9295, 1276, 2135, 75, 21, 31796, 1371, 1233, 1944, 22697, 1029, 1009, 1264, 1005, 2135, 85, 21, 1233, 1009, 1026, 1066, 1276, 1124, 22697, 1102, 2135, 79, 21, 18, 2135, 91, 21, 18, 2135, 253, 21, 18, 2135, 250, 21, 1005, 2135, 71, 21, 1693, 1178, 1463, 25718, 2474, 9154, 1708, 3367, 4806, 1006, 4054, 4277, 1026, 11160, 1304, 1376, 1081, 1120, 1029, 1060, 4397, 7134, 2024, 1072, 18839, 47, 2083, 2135, 83, 21, 1005, 2135, 212, 21, 1693, 1178, 5591, 2795, 1391, 2170, 1511, 1026, 19070, 2643, 2468, 3266, 1276, 1132, 11307, 2135, 81, 291, 86, 21, 18, 2135, 254, 291, 72, 21, 18, 2135, 90, 5208, 1005, 2135, 74, 96, 21, 1160, 12489, 16847, 1005, 1327, 18892, 28743, 1077, 1124, 2156, 25021, 1708, 17949, 1276, 2135, 86, 21, 1096, 3778, 29948, 7016, 1054, 19493, 1276, 2135, 0, 21, 1096, 20674, 2408, 1043, 1006, 12124, 1060, 4397, 1717, 1026, 1881, 1458, 14028, 1276, 2135, 0, 21, 1005, 2135, 318, 21, 1327, 20674, 3259, 1511, 1026, 1238, 5103, 1118, 1094, 6222, 1365, 1132, 26407, 3772, 3020, 3367, 19184, 1159, 2089, 11547, 1060, 6442, 1681, 1352, 1024, 8107, 7134, 2024, 1096, 1094, 4397, 16403, 3424, 8886, 1015, 1690, 11235, 1225, 1044, 2468, 18, 1048, 1298, 1178, 3910, 7092, 1298, 1178, 4949, 1159, 3910, 1206, 11184, 15, 1206, 1160, 3910, 7610, 3455, 1206, 6571, 1565, 5030, 2024, 1096, 1044, 2991, 14174, 1009, 1094, 4397, 1054, 1048, 1026, 2468, 1096, 3179, 10951, 1064, 1774, 2867, 20, 28830, 1048, 1755, 83, 1657, 1054, 2468, 2643, 30868, 9450, 14197, 1030, 168, 1538, 1947, 24249, 13, 1005, 1030, 167, 27084, 175, 76, 5072, 2820, 1118, 2991, 1879, 88, 1164, 2847, 22528, 75, 2024, 1096, 4823, 1072, 27839, 10447, 1577, 1009, 5231, 18, 1048, 1096, 1026, 27839, 19314, 1043, 2350, 9099, 8008, 18, 2350, 1271, 2688, 1327, 8613, 1312, 1049, 27839, 19485, 5361, 17072, 6230, 18232, 1068, 11042, 10592, 2776, 1916, 1063, 4806, 4331, 4955, 1006, 10421, 1005, 1026, 1235, 29436, 2058, 2083, 2366, 1030, 1061, 1071, 0, 15, 1096, 10053, 1322, 22697, 1102, 1068, 12742, 1463, 2983, 20, 1138, 2468, 1160, 1096, 4215, 11271, 1114, 27196, 10868, 1054, 2088, 4278, 7274, 1048, 25403, 1006, 1169, 11293, 2094, 1159, 1026, 1109, 9540, 1060, 1944, 3271, 1049, 23959, 1025, 162, 22144, 1417, 2820, 11271, 1043, 1044, 1251, 1147, 5490, 1136, 1071, 0, 15, 1068, 12529, 27544, 1060, 2750, 3271, 1049, 23959, 18341, 1538, 92, 1417, 2820, 1005, 1026, 1109, 9540, 1060, 2750, 3271, 1049, 19681, 2020, 167, 1538, 1410, 13, 1096, 11271, 1043, 1044, 1251, 1147, 11166, 21882, 15, 1068, 12529, 27544, 1049, 1109, 9540, 1060, 5994, 3271, 1049, 23959, 2020, 85, 1538, 3294, 13, 5148, 1202, 2672, 3160, 2440, 16190, 3160, 1275, 1102, 12613, 11439, 16190, 7531, 1755, 83, 1068, 1511, 17901, 1159, 13366, 1206, 1159, 3820, 2170, 1992, 1159, 1132, 26602, 6875, 1160, 2643, 21152, 1118, 4796, 8861, 1065, 2867, 2083, 4878, 19609, 2083, 10887, 1620, 1006, 1871, 17711, 1187, 11439, 16190, 15333, 1054, 1048, 1160, 1837, 21152, 1365, 13366, 1005, 3820, 1005, 1048, 1160, 1298, 1178, 3778, 7573, 1996, 1009, 1044, 27052, 2083, 4878, 19609, 2083, 54, 3281, 1262, 1727, 19986, 11439, 16190, 1510, 1262, 1727, 1009, 1944, 1005, 2750, 3271, 19681, 11138, 31309, 2752, 162, 75, 1005, 675, 237, 175, 1434, 15, 1693, 10181, 1996, 1206, 1846, 1049, 26602, 1343, 2170, 1054, 26602, 1727, 15662, 1048, 1201, 5254, 1403, 8791, 18, 1178, 1765, 8381, 1072, 2191, 1060, 28201, 1159, 1054, 675, 212, 1529, 1814, 1538, 17458, 1563, 13, 1005, 675, 212, 91, 93, 167, 72, 1814, 1538, 1133, 91, 7887, 1563, 13, 33, 1294, 1734, 9677, 1026, 1109, 9540, 1096, 3778, 1996, 1049, 26602, 13292, 1955, 19609, 2083, 31781, 4535, 28075, 75, 2024, 3134, 1026, 1109, 9540, 22649, 16351, 7302, 23959, 1096, 4384, 93, 168, 20, 1603, 1026, 26602, 1343, 1006, 1048, 4384, 1058, 4768, 1325, 1072, 23959, 18, 1160, 1096, 1026, 26602, 1343, 1048, 6706, 1026, 6550, 23959, 18, 1309, 24836, 1505, 2991, 2083, 14864, 8512, 2083, 22267, 1042, 1120, 1727, 3367, 4397, 1160, 3134, 14236, 8861, 7772, 5048, 1138, 23959, 1009, 26602, 1727, 1096, 9110, 2328, 1060, 16723, 1049, 1109, 9540, 4987, 1060, 5994, 3271, 1049, 23959, 2170, 1058, 9959, 1044, 2941, 1526, 20498, 5460, 1109, 9540, 1206, 1403, 1443, 1343, 1349, 1026, 25737, 1096, 17057, 1986, 1264, 2083, 1006, 1871, 23959, 1009, 1173, 162, 1538, 150, 22677, 13, 1096, 1173, 162, 15962, 1538, 150, 3549, 1888, 11507, 2311, 250, 1538, 4753, 71, 2820, 2311, 250, 71, 26606, 2573, 13, 12674, 2311, 250, 11503, 85, 1538, 1016, 7122, 11507, 2311, 250, 84, 1538, 1046, 1477, 2820, 1028, 10397, 1538, 28746, 2820, 2311, 250, 84, 9986, 75, 1538, 28746, 5399, 13, 12674, 2311, 250, 84, 9986, 157, 93, 168, 1538, 1285, 1093, 5410, 13, 25580, 9545 ]

[ 1318, 2601, 5726, 1538, 1364, 5151, 1010, 2820, 1566, 1048, 17005, 7450, 1048, 7937, 1178, 8728, 1068, 1734, 7910, 1727, 9806, 1079, 2364, 1054, 14162, 79, 3431, 1006, 3861, 1049, 6491, 1009, 1073, 6058, 1114, 4111, 5636, 1411, 27041, 2350, 1216, 1258, 2447, 1533, 17233, 85, 1009, 21776, 1026, 11536, 1060, 7877, 19, 5940, 2525, 1365, 2293, 11666, 1005, 1561, 158, 1411, 1068, 10373, 1024, 1026, 12271, 5822, 4690, 1069, 1060, 25591, 9592, 4927, 1843, 1024, 1114, 2413, 1571, 17401, 14031, 1005, 1132, 1178, 2707, 1689, 26390, 1132, 20696, 1689, 1294, 1646, 6617, 1005, 5884, 1704, 6721, 1060, 14743, 18, 1587, 1407, 3333, 12315, 1056, 1018, 1973, 1213, 3761, 1138, 7764, 1071, 1108, 1034, 4331, 15, 1048, 1026, 2671, 2155, 6467, 1130, 1026, 30561, 1009, 25591, 9592, 4927, 10772, 1114, 17144, 1005, 1072, 16440, 8915, 1704, 6721, 1060, 14743, 18, 1587, 1407, 3333, 12315, 1056, 1400, 1973, 11705, 1048, 1026, 2671, 2155, 6467, 1130, 1026, 30561, 1009, 25591, 9592, 4927, 10772, 1114, 17144, 1005, 1072, 16440, 1056, 3424, 1063, 18184, 1381, 1751, 1049, 2017, 2752, 2578, 1303, 26271, 1126, 1048, 13419, 9763, 1054, 1044, 1901, 1005, 7302, 3489, 1096, 19474, 1024, 1006, 11228, 31860, 1009, 10734, 1066, 9087, 2271, 1026, 21861, 1060, 25591, 1495, 1006, 7442, 1009, 1274, 14102, 3423, 2668, 1096, 1094, 3484, 1049, 2671, 1726, 30188, 1009, 12685, 1005, 3235, 1009, 4320, 5314, 1049, 1784, 1118, 3865, 1060, 3838, 9330, 1049, 3099, 1009, 2725, 1056, 9087, 1048, 1026, 1561, 4282, 6135, 12151, 6467, 1130, 2073, 5579, 1009, 6912, 1112, 1009, 25591, 1114, 5809, 11038, 1072, 16440, 1056, 1672, 1005, 1054, 2089, 5852, 1048, 1620, 4929, 5365, 19748, 5841, 1096, 1094, 4497, 1009, 2671, 1175, 1973, 1026, 6721, 9003, 12315, 1056, 1400, 1026, 22896, 29807, 1318, 28788, 17776, 1679, 10418, 1048, 1009, 1656, 12837, 1213, 30561, 1009, 25591, 1054, 3905, 1009, 7102, 2051, 17155, 1312, 1533, 6467, 5823, 1072, 2268, 1160, 4597, 9197, 23503, 2389, 20, 3782, 3901, 1048, 30791, 1566, 30752, 1114, 17144, 1005, 1072, 16440, 8915, 16061, 1006, 3738, 2652, 1764, 8512, 1094, 26080, 9897, 1072, 27208, 1005, 2125, 1054, 9963, 11268, 26230, 4682, 1132, 15654, 13590, 1261, 8272, 1068, 3524, 1026, 12221, 17183, 1258, 1793, 1672, 8755, 1026, 6721, 1060, 14743, 23190, 4375, 1919, 5085, 1213, 3603, 1009, 2693, 1006, 11228, 31860, 32, 1998, 13419, 1072, 3099, 2306, 5924, 1044, 12221, 17183, 1258, 1793, 1672, 10151, 1157, 1048, 1132, 5870, 1160, 23017, 1026, 2191, 3563, 3048, 1327, 5565, 1166, 1118, 6709, 18445, 1206, 1048, 13303, 11085, 1569, 5502, 1114, 6300, 10376, 1054, 4034, 31776, 1065, 25286, 1138, 6902, 2177, 31294, 1054, 2252, 1124, 6982, 1009, 2935, 1005, 1318, 1114, 17522, 5735, 1814, 2572, 4379, 27466, 1187, 5685, 1060, 10574, 1060, 22886, 1138, 2670, 6891, 21274, 10790, 1060, 5827, 4979, 11705, 1048, 1026, 5409, 19647, 1432, 1519, 2177, 1094, 6386, 14170, 1017, 1629, 1054, 1158, 2864, 1005, 1048, 1026, 1561, 8285, 1114, 8369, 3960, 15346, 4850, 1187, 16131, 1009, 1734, 19879, 5153, 1142, 9642, 1026, 2671, 7412, 10927, 1006, 3568, 1009, 5409, 19647, 1432, 2287, 3552, 4380, 1009, 25457, 11813, 1068, 4379, 1026, 1048, 5687, 1072, 23484, 1060, 10574, 1060, 22886, 18, 1511, 1657, 1006, 16682, 1058, 7071, 2698, 1187, 18044, 6135, 4714, 11729, 1495, 1054, 2997, 1026, 8278, 1009, 25457, 3267, 1233, 4380, 1049, 5409, 19647, 1432, 18210, 2656, 4800, 20708, 1043, 3005, 3048, 6588, 1048, 28203, 15382, 1026, 1048, 5140, 1043, 1006, 22886, 1175, 30904, 1175, 2800, 1160, 2257, 1044, 2743, 24116, 1009, 1028, 2094, 1516, 1657, 1094, 3616, 2180, 1032, 12991, 12527, 1048, 6639, 5587, 3453, 1043, 4805, 24855, 18, 1006, 22886, 1195, 29870, 1005, 1026, 1561, 7035, 4493, 18, 7035, 31771, 23039, 1411, 1005, 25931, 1305, 7386, 10400, 1177, 8152, 2803, 25792, 1704, 2670, 14585, 1048, 1657, 1006, 16682, 1058, 7071, 2698, 1049, 8566, 1060, 22886, 18, 1072, 1852, 1049, 3009, 7745, 20, 1084, 1620, 10611, 2865, 1043, 1006, 4087, 32, 1175, 7669, 1094, 1413, 3434, 2563, 7, 11026, 6082, 4145, 4493, 18, 1309, 1365, 1026, 1852, 1049, 3009, 7745, 1005, 1026, 8368, 1049, 3009, 17450, 1006, 16682, 14762, 1048, 1710, 4624, 1049, 2709, 1068, 5593, 2612, 1060, 22886, 1072, 31549, 4118, 1393, 18003, 1006, 13662, 1054, 27994, 1084, 1202, 4234, 3952, 1068, 1848, 1005, 1068, 6423, 20, 7862, 1021, 1040, 1026, 14810, 3659, 10069, 1094, 2153, 6464, 4234, 10847, 1005, 6789, 1557, 1516, 1011, 1471, 1075, 1627, 1516, 1184, 14274, 1599, 9781, 1040, 1616, 8333, 1058, 1345, 1618, 1231, 1005, 3048, 1323, 7743, 1006, 24765, 1309, 16651, 1094, 6411, 26861, 1236, 1009, 4347, 1044, 2574, 1060, 1834, 12533, 2860, 1049, 1561, 1060, 22844, 7699, 1048, 1566, 1026, 20301, 1043, 6672, 15779, 15620, 1811, 85, 16437, 1043, 24482, 2348, 14998, 2027, 23434, 12710, 1305, 1124, 26451, 1098, 27310, 1213, 9051, 1009, 5867, 3858, 1048, 1299, 9121, 1006, 13435, 18, 1009, 10312, 1043, 3822, 30766, 3812, 1819, 1054, 4350, 1006, 4087, 1098, 1093, 5780, 1060, 7272, 1048, 1299, 1465, 2262, 1005, 7439, 1054, 2612, 1132, 16250, 1294, 2688, 1299, 6627, 1043, 6522, 1005, 22994, 1959, 1914, 18, 1323, 2615, 85, 1058, 1160, 2909, 1026, 2535, 1009, 19782, 1026, 3010, 1048, 1299, 1323, 12860, 3812, 14323, 9210, 1054, 2562, 1060, 1090, 2021, 1526, 1005, 2460, 7869, 6443, 13158, 19144, 1005, 26576, 3241, 19270, 1069, 1060, 4981, 2073, 6083, 1006, 2092, 5085, 3482, 1079, 6185, 10836, 2464, 1996, 1009, 15266, 1026, 1307, 0, 1901, 1009, 30929, 1195, 3354, 2984, 1069, 1049, 10219, 1305, 3282, 1006, 5978, 1005, 3532, 17032, 1043, 12601, 2002, 1005, 11636, 2027, 1118, 1044, 10836, 1049, 23468, 18, 1026, 1235, 1386, 4457, 24105, 22178, 3019, 6449, 9878, 23468, 18, 10757, 2250, 1986, 1124, 6283, 1009, 11401, 2283, 1095, 1792, 6724, 3994, 1213, 1128, 3776, 13930, 1006, 10190, 1112, 1049, 2092, 9051, 1005, 1009, 2348, 4141, 1239, 8214, 15172, 1357, 5554, 1009, 1791, 7533, 1118, 2824, 3727, 1011, 2166, 21929, 1054, 2156, 30104, 3967, 28011, 2358, 1093, 1112, 5903, 1140, 1118, 2156, 9732, 12223, 1048, 1495, 3004, 7135, 1040, 1118, 2612, 3019, 23352, 1138, 3330, 1160, 22709, 1079, 1005, 18657, 4047, 2502, 18959, 1452, 7655, 1026, 23468, 11588, 91, 1213, 1128, 11840, 20, 2614, 1792, 1043, 1044, 6724, 11684, 2373, 1018, 5240, 1230, 626, 1048, 1195, 11506, 1463, 6000, 1049, 2276, 6721, 4243, 1205, 3340, 85, 11207, 1015, 17347, 1159, 9054, 3523, 2212, 1460, 1435, 1184, 1159, 9495, 1009, 20119, 1005, 2444, 1159, 9054, 18, 11594, 2433, 1456, 14512, 1009, 1048, 1503, 1005, 2348, 4141, 1239, 8214, 2509, 1096, 10799, 14082, 2585, 7188, 1157, 1006, 15415, 1049, 1128, 3776, 1049, 27907, 3893, 1109, 4710, 18, 1118, 27261, 1026, 6724, 19443, 1356, 6752, 17379, 7384, 4433, 16485, 5653, 23791, 1488, 1545, 1044, 2803, 14174, 1114, 2042, 1060, 4769, 1048, 1299, 1620, 1465, 2262, 1005, 1233, 1428, 1044, 1531, 4393, 79, 15208, 76, 2060, 6027, 1006, 7513, 1049, 1531, 2971, 1009, 3268, 1009, 17451, 2494, 4033, 4604, 1299, 1801, 13750, 1068, 4384, 1132, 11262, 1060, 6695, 1126, 1049, 21426, 2854, 1100, 1060, 9015, 3517, 1005, 1049, 2861, 1051, 3335, 3748, 11456, 1009, 15169, 1679, 1168, 3340, 1009, 2288, 7364, 1893, 1005, 1791, 25750, 1005, 5867, 7332, 1048, 1058, 30073, 1412, 1114, 5965, 3446, 1373, 1046, 1157, 1068, 1048, 1503, 7211, 3631, 4039, 1026, 3282, 13751, 1009, 30486, 26678, 1495, 1592, 1679, 1048, 9518, 1040, 10522, 1172, 1171, 1047, 6683, 1043, 10719, 4056, 1009, 21507, 2207, 10599, 9905, 1371, 1869, 2163, 1519, 1005, 10190, 1079, 1026, 2092, 30929, 1068, 1054, 4702, 1054, 8393, 7066, 1343, 1005, 13979, 76, 1526, 2997, 8894, 1213, 1235, 2276, 26316, 1009, 17491, 7384, 4433, 11714, 2223, 6215, 2063, 2649, 1396, 1236, 1054, 2444, 1009, 2978, 3229, 1356, 7920, 9472, 1048, 14957, 1224, 4497, 1094, 1744, 3299, 71, 1233, 9015, 3517, 1005, 22378, 2348, 1057, 19280, 7863, 3713, 1251, 1065, 1079, 1006, 23246, 1309, 10914, 1079, 1006, 10763, 3344, 6600, 1006, 2837, 1044, 1686, 1177, 12563, 1304, 1009, 3251, 2250, 1068, 1006, 2348, 30486, 1044, 5633, 14170, 75, 7364, 1519, 1068, 1094, 14120, 8274, 6383, 3982, 2364, 1043, 2289, 14540, 15983, 1054, 5426, 3792, 11596, 4803, 1213, 6976, 1048, 7206, 1009, 8748, 1043, 1299, 8333, 4426, 17876, 1048, 1058, 5632, 1009, 1044, 9151, 1048, 6734, 8374, 1046, 20015, 1930, 15550, 1159, 3100, 7402, 3426, 4451, 1177, 1048, 12280, 1094, 12124, 1009, 1098, 13489, 1213, 13467, 1224, 4087, 1009, 1169, 1265, 3678, 6505, 1043, 1006, 1048, 9470, 1009, 8086, 8333, 5381, 1077, 27244, 1072, 22486, 1187, 1786, 11176, 1558, 2315, 1049, 1048, 1096, 6407, 1068, 12097, 1124, 14644, 1048, 3684, 31837, 1068, 13467, 1043, 1124, 1048, 1323, 26503, 1533, 1755, 7999, 1096, 1048, 1299, 4857, 1026, 3282, 1009, 1178, 4538, 1069, 1356, 5019, 1009, 2013, 90, 1961, 1357, 6068, 3517, 2170, 11132, 1357, 19658, 1377, 2013, 1322, 3530, 8040, 1048, 1160, 3002, 13791, 1048, 3711, 1098, 1167, 2402, 1006, 1224, 18744, 2340, 2289, 1048, 6479, 1516, 1178, 4538, 1069, 4908, 2268, 1160, 1323, 1195, 6440, 1989, 3282, 20, 1138, 4813, 8450, 14591, 1160, 4538, 1079, 1118, 2464, 2277, 5806, 1160, 2284, 27505, 1026, 1128, 3776, 18, 1118, 3005, 9208, 3028, 1098, 29819, 1005, 1006, 8324, 1160, 13029, 6242, 1026, 2930, 5200, 1489, 1100, 1068, 3291, 1058, 1261, 8587, 2318, 1020, 14307, 1068, 6622, 1132, 1791, 23093, 1048, 16147, 1503, 1005, 2348, 4141, 1239, 1287, 10799, 1068, 1294, 26465, 4908, 2930, 6204, 12391, 1079, 1006, 20119, 1049, 6752, 17379, 1049, 23468, 1068, 1294, 10190, 3890, 1132, 4118, 1065, 1554, 2013, 1118, 3005, 1048, 1026, 31737, 1471, 1044, 2792, 1009, 4805, 7061, 18, 2340, 17508, 1054, 24458, 1009, 2289, 10495, 1048, 1299, 1323, 21279, 32, 1132, 8326, 7979, 1068, 15195, 2348, 1098, 29819, 4578, 11901, 1930, 1323, 7455, 1819, 11729, 1054, 4005, 3596, 1175, 1058, 5615, 12527, 16261, 10825, 9518, 1402, 1118, 9210, 1717, 10312, 7211, 1026, 10219, 1460, 1188, 1159, 15283, 1026, 7757, 1049, 1622, 10498, 4906, 10543, 1160, 4537, 8587, 1233, 4087, 1703, 14570, 1049, 3863, 20, 1, 7764, 1886, 1525, 2535, 1009, 20567, 3270, 1182, 1074, 71, 1717, 5714, 5764, 1082, 1524, 1040, 3996, 1036, 1017, 1291, 2521, 14668, 14644, 1717, 1026, 4472, 74, 18314, 7933, 12256, 1054, 1158, 10867, 19310, 11425, 5940, 2503, 8871, 3270, 1182, 1074, 71, 1005, 5714, 5764, 1082, 1524, 1040, 14322, 19468, 16794, 2843, 85, 7199, 7764, 3765, 1044, 3311, 1852, 1072, 2535, 20792, 1221, 9553, 20567, 3270, 1182, 1074, 71, 1005, 5714, 5764, 1082, 1524, 4830, 2034, 14668, 14644, 6626, 1357, 10225, 1291, 1717, 1026, 4472, 74, 18314, 1060, 11010, 2601, 1202, 1094, 1807, 23282, 1114, 7475, 1309, 1195, 9094, 1886, 16058, 3915, 6347, 19970, 1357, 20293, 1009, 8324, 1233, 5987, 1067, 1212, 2690, 18, 1049, 25715, 18, 1026, 5979, 21676, 15027, 1048, 1026, 6976, 18661, 19159, 1054, 3209, 1005, 1160, 1837, 2073, 3124, 2017, 1006, 5085, 1406, 1005, 1048, 7349, 7764, 1160, 21281, 10022, 1009, 2522, 28850, 3048, 1322, 5684, 1054, 4288, 14398, 4497, 1009, 24120, 1303, 1049, 2535, 9553, 20567, 3270, 1182, 1074, 71, 1005, 5714, 5764, 1082, 1524, 1040, 1058, 5632, 1009, 1094, 8274, 2175, 1126, 1048, 2612, 1043, 26359, 2453, 1060, 3486, 8125, 2339, 2328, 1009, 1235, 6491, 1009, 16253, 1212, 28850, 1406, 4898, 5447, 2271, 7123, 1986, 1124, 21724, 14668, 6626, 1294, 24500, 23498, 15199, 1026, 3435, 1060, 8274, 1160, 1919, 1184, 5085, 1233, 4697, 2924, 9320, 1657, 1233, 3486, 4643, 1667, 1505, 1058, 9149, 1009, 1094, 8274, 2175, 1126, 1096, 1044, 11650, 2823, 1485, 4547, 1005, 1160, 1044, 9295, 15424, 1, 1063, 7197, 1144, 7225, 1107, 31777, 1253, 6103, 10661, 1427, 6184, 15404, 2502, 12478, 1114, 16824, 1068, 5242, 1024, 1026, 26349, 9601, 1049, 20741, 4152, 4073, 5242, 1024, 1026, 26349, 9601, 1049, 29616, 7127, 1006, 5958, 2079, 7724, 2850, 2430, 1358, 17725, 7212, 1079, 1054, 1094, 9467, 1029, 2583, 2369, 1013, 2528, 14748, 11890, 1026, 31072, 1028, 3293, 1044, 1044, 1427, 2509, 15830, 1605, 20230, 1034, 31013, 10661, 1026, 29353, 1114, 1883, 2447, 1271, 1821, 12223, 6485, 1044, 15581, 4051, 1068, 1026, 31072, 6548, 1890, 1026, 3178, 3951, 1049, 1082, 4436, 1054, 4119, 1759, 7393, 28139, 1165, 4289, 1006, 7197, 17367, 1138, 1007, 7893, 1379, 2837, 1094, 9467, 1029, 2583, 1184, 8374, 1140, 1043, 1132, 1427, 6184, 15404, 2502, 1068, 19904, 1787, 1026, 3178, 3951, 1049, 1082, 4436, 1054, 4119, 11709, 13318, 1766, 15509, 1692, 1318, 7893, 1379, 10048, 4306, 1427, 6184, 1068, 2837, 1006, 9467, 1029, 2583, 30288, 18225, 5483, 1890, 1026, 20741, 4152, 1759, 7393, 21333, 1961, 20025, 10018, 3309, 10661, 1044, 1427, 2509, 29353, 1068, 19375, 1024, 1124, 23132, 1028, 3293, 1890, 1026, 29616, 4152, 3341, 1262, 1145, 1106, 2732, 1566, 7893, 1379, 1026, 31072 ]

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

[ 1318, 2601, 5726, 1538, 1364, 5151, 1010, 2820, 1566, 1048, 17005, 7450, 1048, 7937, 1178, 8728, 1068, 1734, 7910, 1727, 9806, 1079, 2364, 1054, 14162, 79, 3431, 1006, 3861, 1049, 6491, 1009, 1073, 6058, 1114, 4111, 5636, 1411, 27041, 2350, 1216, 1258, 2447, 1533, 17233, 85, 1009, 21776, 1026, 11536, 1060, 7877, 19, 5940, 2525, 1365, 2293, 11666, 1005, 1561, 158, 1411, 1068, 10373, 1024, 1026, 12271, 5822, 4690, 1069, 1060, 25591, 9592, 4927, 1843, 1024, 1114, 2413, 1571, 17401, 14031, 1005, 1132, 1178, 2707, 1689, 26390, 1132, 20696, 1689, 1294, 1646, 6617, 1005, 5884, 1704, 6721, 1060, 14743, 18, 1587, 1407, 3333, 12315, 1056, 1018, 1973, 1213, 3761, 1138, 7764, 1071, 1108, 1034, 4331, 15, 1048, 1026, 2671, 2155, 6467, 1130, 1026, 30561, 1009, 25591, 9592, 4927, 10772, 1114, 17144, 1005, 1072, 16440, 8915, 1704, 6721, 1060, 14743, 18, 1587, 1407, 3333, 12315, 1056, 1400, 1973, 11705, 1048, 1026, 2671, 2155, 6467, 1130, 1026, 30561, 1009, 25591, 9592, 4927, 10772, 1114, 17144, 1005, 1072, 16440, 1056, 3424, 1063, 18184, 1381, 1751, 1049, 2017, 2752, 2578, 1303, 26271, 1126, 1048, 13419, 9763, 1054, 1044, 1901, 1005, 7302, 3489, 1096, 19474, 1024, 1006, 11228, 31860, 1009, 10734, 1066, 9087, 2271, 1026, 21861, 1060, 25591, 1495, 1006, 7442, 1009, 1274, 14102, 3423, 2668, 1096, 1094, 3484, 1049, 2671, 1726, 30188, 1009, 12685, 1005, 3235, 1009, 4320, 5314, 1049, 1784, 1118, 3865, 1060, 3838, 9330, 1049, 3099, 1009, 2725, 1056, 9087, 1048, 1026, 1561, 4282, 6135, 12151, 6467, 1130, 2073, 5579, 1009, 6912, 1112, 1009, 25591, 1114, 5809, 11038, 1072, 16440, 1056, 1672, 1005, 1054, 2089, 5852, 1048, 1620, 4929, 5365, 19748, 5841, 1096, 1094, 4497, 1009, 2671, 1175, 1973, 1026, 6721, 9003, 12315, 1056, 1400, 1026, 22896, 29807, 1318, 28788, 17776, 1679, 10418, 1048, 1009, 1656, 12837, 1213, 30561, 1009, 25591, 1054, 3905, 1009, 7102, 2051, 17155, 1312, 1533, 6467, 5823, 1072, 2268, 1160, 4597, 9197, 23503, 2389, 20, 3782, 3901, 1048, 30791, 1566, 30752, 1114, 17144, 1005, 1072, 16440, 8915, 16061, 1006, 3738, 2652, 1764, 8512, 1094, 26080, 9897, 1072, 27208, 1005, 2125, 1054, 9963, 11268, 26230, 4682, 1132, 15654, 13590, 1261, 8272, 1068, 3524, 1026, 12221, 17183, 1258, 1793, 1672, 8755, 1026, 6721, 1060, 14743, 23190, 4375, 1919, 5085, 1213, 3603, 1009, 2693, 1006, 11228, 31860, 32, 1998, 13419, 1072, 3099, 2306, 5924, 1044, 12221, 17183, 1258, 1793, 1672, 10151, 1157, 1048, 1132, 5870, 1160, 23017, 1026, 2191, 3563, 3048, 1327, 5565, 1166, 1118, 6709, 18445, 1206, 1048, 13303, 11085, 1569, 5502, 1114, 6300, 10376, 1054, 4034, 31776, 1065, 25286, 1138, 6902, 2177, 31294, 1054, 2252, 1124, 6982, 1009, 2935, 1005, 1318, 1114, 17522, 5735, 1814, 2572, 4379, 27466, 1187, 5685, 1060, 10574, 1060, 22886, 1138, 2670, 6891, 21274, 10790, 1060, 5827, 4979, 11705, 1048, 1026, 5409, 19647, 1432, 1519, 2177, 1094, 6386, 14170, 1017, 1629, 1054, 1158, 2864, 1005, 1048, 1026, 1561, 8285, 1114, 8369, 3960, 15346, 4850, 1187, 16131, 1009, 1734, 19879, 5153, 1142, 9642, 1026, 2671, 7412, 10927, 1006, 3568, 1009, 5409, 19647, 1432, 2287, 3552, 4380, 1009, 25457, 11813, 1068, 4379, 1026, 1048, 5687, 1072, 23484, 1060, 10574, 1060, 22886, 18, 1511, 1657, 1006, 16682, 1058, 7071, 2698, 1187, 18044, 6135, 4714, 11729, 1495, 1054, 2997, 1026, 8278, 1009, 25457, 3267, 1233, 4380, 1049, 5409, 19647, 1432, 18210, 2656, 4800, 20708, 1043, 3005, 3048, 6588, 1048, 28203, 15382, 1026, 1048, 5140, 1043, 1006, 22886, 1175, 30904, 1175, 2800, 1160, 2257, 1044, 2743, 24116, 1009, 1028, 2094, 1516, 1657, 1094, 3616, 2180, 1032, 12991, 12527, 1048, 6639, 5587, 3453, 1043, 4805, 24855, 18, 1006, 22886, 1195, 29870, 1005, 1026, 1561, 7035, 4493, 18, 7035, 31771, 23039, 1411, 1005, 25931, 1305, 7386, 10400, 1177, 8152, 2803, 25792, 1704, 2670, 14585, 1048, 1657, 1006, 16682, 1058, 7071, 2698, 1049, 8566, 1060, 22886, 18, 1072, 1852, 1049, 3009, 7745, 20, 1084, 1620, 10611, 2865, 1043, 1006, 4087, 32, 1175, 7669, 1094, 1413, 3434, 2563, 7, 11026, 6082, 4145, 4493, 18, 1309, 1365, 1026, 1852, 1049, 3009, 7745, 1005, 1026, 8368, 1049, 3009, 17450, 1006, 16682, 14762, 1048, 1710, 4624, 1049, 2709, 1068, 5593, 2612, 1060, 22886, 1072, 31549, 4118, 1393, 18003, 1006, 13662, 1054, 27994, 1084, 1202, 4234, 3952, 1068, 1848, 1005, 1068, 6423, 20, 7862, 1021, 1040, 1026, 14810, 3659, 10069, 1094, 2153, 6464, 4234, 10847, 1005, 6789, 1557, 1516, 1011, 1471, 1075, 1627, 1516, 1184, 14274, 1599, 9781, 1040, 1616, 8333, 1058, 1345, 1618, 1231, 1005, 3048, 1323, 7743, 1006, 24765, 1309, 16651, 1094, 6411, 26861, 1236, 1009, 4347, 1044, 2574, 1060, 1834, 12533, 2860, 1049, 1561, 1060, 22844, 7699, 1048, 1566, 1026, 20301, 1043, 6672, 15779, 15620, 1811, 85, 16437, 1043, 24482, 2348, 14998, 2027, 23434, 12710, 1305, 1124, 26451, 1098, 27310, 1213, 9051, 1009, 5867, 3858, 1048, 1299, 9121, 1006, 13435, 18, 1009, 10312, 1043, 3822, 30766, 3812, 1819, 1054, 4350, 1006, 4087, 1098, 1093, 5780, 1060, 7272, 1048, 1299, 1465, 2262, 1005, 7439, 1054, 2612, 1132, 16250, 1294, 2688, 1299, 6627, 1043, 6522, 1005, 22994, 1959, 1914, 18, 1323, 2615, 85, 1058, 1160, 2909, 1026, 2535, 1009, 19782, 1026, 3010, 1048, 1299, 1323, 12860, 3812, 14323, 9210, 1054, 2562, 1060, 1090, 2021, 1526, 1005, 2460, 7869, 6443, 13158, 19144, 1005, 26576, 3241, 19270, 1069, 1060, 4981, 2073, 6083, 1006, 2092, 5085, 3482, 1079, 6185, 10836, 2464, 1996, 1009, 15266, 1026, 1307, 0, 1901, 1009, 30929, 1195, 3354, 2984, 1069, 1049, 10219, 1305, 3282, 1006, 5978, 1005, 3532, 17032, 1043, 12601, 2002, 1005, 11636, 2027, 1118, 1044, 10836, 1049, 23468, 18, 1026, 1235, 1386, 4457, 24105, 22178, 3019, 6449, 9878, 23468, 18, 10757, 2250, 1986, 1124, 6283, 1009, 11401, 2283, 1095, 1792, 6724, 3994, 1213, 1128, 3776, 13930, 1006, 10190, 1112, 1049, 2092, 9051, 1005, 1009, 2348, 4141, 1239, 8214, 15172, 1357, 5554, 1009, 1791, 7533, 1118, 2824, 3727, 1011, 2166, 21929, 1054, 2156, 30104, 3967, 28011, 2358, 1093, 1112, 5903, 1140, 1118, 2156, 9732, 12223, 1048, 1495, 3004, 7135, 1040, 1118, 2612, 3019, 23352, 1138, 3330, 1160, 22709, 1079, 1005, 18657, 4047, 2502, 18959, 1452, 7655, 1026, 23468, 11588, 91, 1213, 1128, 11840, 20, 2614, 1792, 1043, 1044, 6724, 11684, 2373, 1018, 5240, 1230, 626, 1048, 1195, 11506, 1463, 6000, 1049, 2276, 6721, 4243, 1205, 3340, 85, 11207, 1015, 17347, 1159, 9054, 3523, 2212, 1460, 1435, 1184, 1159, 9495, 1009, 20119, 1005, 2444, 1159, 9054, 18, 11594, 2433, 1456, 14512, 1009, 1048, 1503, 1005, 2348, 4141, 1239, 8214, 2509, 1096, 10799, 14082, 2585, 7188, 1157, 1006, 15415, 1049, 1128, 3776, 1049, 27907, 3893, 1109, 4710, 18, 1118, 27261, 1026, 6724, 19443, 1356, 6752, 17379, 7384, 4433, 16485, 5653, 23791, 1488, 1545, 1044, 2803, 14174, 1114, 2042, 1060, 4769, 1048, 1299, 1620, 1465, 2262, 1005, 1233, 1428, 1044, 1531, 4393, 79, 15208, 76, 2060, 6027, 1006, 7513, 1049, 1531, 2971, 1009, 3268, 1009, 17451, 2494, 4033, 4604, 1299, 1801, 13750, 1068, 4384, 1132, 11262, 1060, 6695, 1126, 1049, 21426, 2854, 1100, 1060, 9015, 3517, 1005, 1049, 2861, 1051, 3335, 3748, 11456, 1009, 15169, 1679, 1168, 3340, 1009, 2288, 7364, 1893, 1005, 1791, 25750, 1005, 5867, 7332, 1048, 1058, 30073, 1412, 1114, 5965, 3446, 1373, 1046, 1157, 1068, 1048, 1503, 7211, 3631, 4039, 1026, 3282, 13751, 1009, 30486, 26678, 1495, 1592, 1679, 1048, 9518, 1040, 10522, 1172, 1171, 1047, 6683, 1043, 10719, 4056, 1009, 21507, 2207, 10599, 9905, 1371, 1869, 2163, 1519, 1005, 10190, 1079, 1026, 2092, 30929, 1068, 1054, 4702, 1054, 8393, 7066, 1343, 1005, 13979, 76, 1526, 2997, 8894, 1213, 1235, 2276, 26316, 1009, 17491, 7384, 4433, 11714, 2223, 6215, 2063, 2649, 1396, 1236, 1054, 2444, 1009, 2978, 3229, 1356, 7920, 9472, 1048, 14957, 1224, 4497, 1094, 1744, 3299, 71, 1233, 9015, 3517, 1005, 22378, 2348, 1057, 19280, 7863, 3713, 1251, 1065, 1079, 1006, 23246, 1309, 10914, 1079, 1006, 10763, 3344, 6600, 1006, 2837, 1044, 1686, 1177, 12563, 1304, 1009, 3251, 2250, 1068, 1006, 2348, 30486, 1044, 5633, 14170, 75, 7364, 1519, 1068, 1094, 14120, 8274, 6383, 3982, 2364, 1043, 2289, 14540, 15983, 1054, 5426, 3792, 11596, 4803, 1213, 6976, 1048, 7206, 1009, 8748, 1043, 1299, 8333, 4426, 17876, 1048, 1058, 5632, 1009, 1044, 9151, 1048, 6734, 8374, 1046, 20015, 1930, 15550, 1159, 3100, 7402, 3426, 4451, 1177, 1048, 12280, 1094, 12124, 1009, 1098, 13489, 1213, 13467, 1224, 4087, 1009, 1169, 1265, 3678, 6505, 1043, 1006, 1048, 9470, 1009, 8086, 8333, 5381, 1077, 27244, 1072, 22486, 1187, 1786, 11176, 1558, 2315, 1049, 1048, 1096, 6407, 1068, 12097, 1124, 14644, 1048, 3684, 31837, 1068, 13467, 1043, 1124, 1048, 1323, 26503, 1533, 1755, 7999, 1096, 1048, 1299, 4857, 1026, 3282, 1009, 1178, 4538, 1069, 1356, 5019, 1009, 2013, 90, 1961, 1357, 6068, 3517, 2170, 11132, 1357, 19658, 1377, 2013, 1322, 3530, 8040, 1048, 1160, 3002, 13791, 1048, 3711, 1098, 1167, 2402, 1006, 1224, 18744, 2340, 2289, 1048, 6479, 1516, 1178, 4538, 1069, 4908, 2268, 1160, 1323, 1195, 6440, 1989, 3282, 20, 1138, 4813, 8450, 14591, 1160, 4538, 1079, 1118, 2464, 2277, 5806, 1160, 2284, 27505, 1026, 1128, 3776, 18, 1118, 3005, 9208, 3028, 1098, 29819, 1005, 1006, 8324, 1160, 13029, 6242, 1026, 2930, 5200, 1489, 1100, 1068, 3291, 1058, 1261, 8587, 2318, 1020, 14307, 1068, 6622, 1132, 1791, 23093, 1048, 16147, 1503, 1005, 2348, 4141, 1239, 1287, 10799, 1068, 1294, 26465, 4908, 2930, 6204, 12391, 1079, 1006, 20119, 1049, 6752, 17379, 1049, 23468, 1068, 1294, 10190, 3890, 1132, 4118, 1065, 1554, 2013, 1118, 3005, 1048, 1026, 31737, 1471, 1044, 2792, 1009, 4805, 7061, 18, 2340, 17508, 1054, 24458, 1009, 2289, 10495, 1048, 1299, 1323, 21279, 32, 1132, 8326, 7979, 1068, 15195, 2348, 1098, 29819, 4578, 11901, 1930, 1323, 7455, 1819, 11729, 1054, 4005, 3596, 1175, 1058, 5615, 12527, 16261, 10825, 9518, 1402, 1118, 9210, 1717, 10312, 7211, 1026, 10219, 1460, 1188, 1159, 15283, 1026, 7757, 1049, 1622, 10498, 4906, 10543, 1160, 4537, 8587, 1233, 4087, 1703, 14570, 1049, 3863, 20, 1, 7764, 1886, 1525, 2535, 1009, 20567, 3270, 1182, 1074, 71, 1717, 5714, 5764, 1082, 1524, 1040, 3996, 1036, 1017, 1291, 2521, 14668, 14644, 1717, 1026, 4472, 74, 18314, 7933, 12256, 1054, 1158, 10867, 19310, 11425, 5940, 2503, 8871, 3270, 1182, 1074, 71, 1005, 5714, 5764, 1082, 1524, 1040, 14322, 19468, 16794, 2843, 85, 7199, 7764, 3765, 1044, 3311, 1852, 1072, 2535, 20792, 1221, 9553, 20567, 3270, 1182, 1074, 71, 1005, 5714, 5764, 1082, 1524, 4830, 2034, 14668, 14644, 6626, 1357, 10225, 1291, 1717, 1026, 4472, 74, 18314, 1060, 11010, 2601, 1202, 1094, 1807, 23282, 1114, 7475, 1309, 1195, 9094, 1886, 16058, 3915, 6347, 19970, 1357, 20293, 1009, 8324, 1233, 5987, 1067, 1212, 2690, 18, 1049, 25715, 18, 1026, 5979, 21676, 15027, 1048, 1026, 6976, 18661, 19159, 1054, 3209, 1005, 1160, 1837, 2073, 3124, 2017, 1006, 5085, 1406, 1005, 1048, 7349, 7764, 1160, 21281, 10022, 1009, 2522, 28850, 3048, 1322, 5684, 1054, 4288, 14398, 4497, 1009, 24120, 1303, 1049, 2535, 9553, 20567, 3270, 1182, 1074, 71, 1005, 5714, 5764, 1082, 1524, 1040, 1058, 5632, 1009, 1094, 8274, 2175, 1126, 1048, 2612, 1043, 26359, 2453, 1060, 3486, 8125, 2339, 2328, 1009, 1235, 6491, 1009, 16253, 1212, 28850, 1406, 4898, 5447, 2271, 7123, 1986, 1124, 21724, 14668, 6626, 1294, 24500, 23498, 15199, 1026, 3435, 1060, 8274, 1160, 1919, 1184, 5085, 1233, 4697, 2924, 9320, 1657, 1233, 3486, 4643, 1667, 1505, 1058, 9149, 1009, 1094, 8274, 2175, 1126, 1096, 1044, 11650, 2823, 1485, 4547, 1005, 1160, 1044, 9295, 15424, 1, 1063, 7197, 1144, 7225, 1107, 31777, 1253, 6103, 10661, 1427, 6184, 15404, 2502, 12478, 1114, 16824, 1068, 5242, 1024, 1026, 26349, 9601, 1049, 20741, 4152, 4073, 5242, 1024, 1026, 26349, 9601, 1049, 29616, 7127, 1006, 5958, 2079, 7724, 2850, 2430, 1358, 17725, 7212, 1079, 1054, 1094, 9467, 1029, 2583, 2369, 1013, 2528, 14748, 11890, 1026, 31072, 1028, 3293, 1044, 1044, 1427, 2509, 15830, 1605, 20230, 1034, 31013, 10661, 1026, 29353, 1114, 1883, 2447, 1271, 1821, 12223, 6485, 1044, 15581, 4051, 1068, 1026, 31072, 6548, 1890, 1026, 3178, 3951, 1049, 1082, 4436, 1054, 4119, 1759, 7393, 28139, 1165, 4289, 1006, 7197, 17367, 1138, 1007, 7893, 1379, 2837, 1094, 9467, 1029, 2583, 1184, 8374, 1140, 1043, 1132, 1427, 6184, 15404, 2502, 1068, 19904, 1787, 1026, 3178, 3951, 1049, 1082, 4436, 1054, 4119, 11709, 13318, 1766, 15509, 1692, 1318, 7893, 1379, 10048, 4306, 1427, 6184, 1068, 2837, 1006, 9467, 1029, 2583, 30288, 18225, 5483, 1890, 1026, 20741, 4152, 1759, 7393, 21333, 1961, 20025, 10018, 3309, 10661, 1044, 1427, 2509, 29353, 1068, 19375, 1024, 1124, 23132, 1028, 3293, 1890, 1026, 29616, 4152, 3341, 1262, 1145, 1106, 2732, 1566, 7893, 1379, 1026, 31072 ]

[ 1026, 5360, 6952, 1060, 8322, 1026, 1048, 15954, 18558, 9788, 13, 2796, 6732, 2020, 2953, 1253, 11104, 1406, 1160, 10961, 1048, 1264, 1096, 1044, 2146, 25198, 2652, 15369, 1264, 1592, 25820, 1048, 1096, 1044, 1429, 1328, 21864, 1005, 23172, 7, 7029, 2021, 4289, 22264, 1383, 12180, 1006, 17927, 1060, 20969, 2656, 5956, 1026, 2058, 21333, 3617, 2013, 6329, 1041, 4547, 2637, 1048, 1160, 2080, 1126, 1048, 2155, 5711, 1962, 1927, 1715, 12427, 1342, 13288, 1043, 1006, 10421, 7655, 1026, 3807, 5478, 10761, 8, 1503, 1620, 1160, 31380, 1089, 2904, 85, 1441, 3874, 2289, 1616, 7, 1542, 3804, 1595, 1668, 4434, 1114, 3757, 20247, 5948, 20975, 1026, 2025, 1223, 4434, 1060, 26878, 1322, 1006, 11315, 1142, 1069, 1006, 1142, 1599, 1048, 20352, 1049, 3807, 5478, 10761, 2100, 1084, 11705, 2569, 1026, 2201, 12507, 9568, 1009, 5215, 5770, 1060, 1180, 1085, 1434, 1134, 21513, 20, 2654, 3048, 3855, 1048, 1687, 9090, 4305, 1044, 6859, 20, 1138, 8484, 1325, 2220, 29320, 1069, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 2944, 9531, 9148, 1973, 13070, 3969, 1048, 1096, 13466, 1629, 1663, 3425, 1043, 5138, 4682, 1491, 1094, 1630, 2165, 1962, 1201, 1930, 3036, 23198, 11957, 1573, 9733, 1020, 1185, 2972, 11798, 10029, 5818, 6818, 1054, 9441, 1616, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 2337, 5, 11300, 79, 1973, 1256, 2875, 9886, 1927, 13777, 2122, 2423, 11553, 1118, 3865, 5816, 9027, 1495, 2257, 3326, 1069, 1043, 2348, 7668, 1048, 1058, 1044, 2519, 4551, 1993, 1616, 1068, 4982, 1503, 22923, 31230, 7, 1006, 18827, 18827, 3385, 1096, 2045, 2689, 2238, 1028, 5280, 1006, 4005, 1049, 1809, 1253, 1096, 1094, 2844, 24436, 3713, 1225, 2693, 6375, 1322, 16735, 1009, 2637, 1309, 1264, 1160, 1178, 9994, 1043, 1026, 1048, 14756, 1508, 1114, 1150, 12079, 2733, 2100, 8713, 1294, 1323, 6289, 1009, 7320, 27255, 5848, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 4994, 9531, 9148, 1973, 25533, 1017, 1092, 1009, 26907, 1043, 2653, 5812, 9175, 1572, 2118, 1043, 2539, 21088, 3735, 1503, 1516, 1184, 2360, 1160, 20629, 6993, 2237, 2423, 1049, 2045, 2689, 12879, 2598, 1064, 1706, 10277, 1309, 31312, 1278, 2449, 11456, 1043, 8692, 1072, 7661, 1005, 1927, 1323, 3904, 3730, 1021, 21972, 13378, 1009, 18106, 8, 1233, 5131, 20, 6836, 1928, 85, 2199, 85, 7464, 1077, 1060, 8322, 8935, 1068, 7726, 1006, 4022, 1060, 4614, 1068, 10592, 17369, 2706, 3150, 12710, 9485, 1054, 8291, 4243, 6762, 1846, 1009, 1261, 1094, 18665, 22723, 1072, 1852, 1049, 1901, 1349, 1160, 1096, 1998, 2951, 4033, 2519, 8, 1048, 1225, 1094, 10421, 3347, 4385, 11281, 29867, 4452, 1142, 1078, 6284, 1357, 5741, 1009, 16757, 2162, 1024, 7, 4115, 1094, 2924, 2423, 1049, 8291, 1048, 1919, 10103, 8185, 3493, 5948, 1048, 4230, 1150, 13533, 17208, 14768, 53, 1222, 1687, 2155, 1503, 4540, 9648, 1687, 1325, 1503, 3074, 1383, 1752, 1531, 1184, 1049, 1188, 1118, 1687, 1503, 3100, 8337, 18870, 2624, 1160, 4647, 29304, 1309, 1503, 1710, 1047, 18698, 1048, 1096, 2092, 1503, 2153, 1188, 1005, 1160, 1323, 29386, 1047, 1467, 6095, 13961, 19216, 20175, 2555, 1040, 1044, 12855, 1962, 3754, 1048, 1687, 1096, 2348, 8, 1383, 1357, 2348, 4953, 1998, 1475, 6037, 24937, 1157, 1096, 1048, 4343, 9459, 3749, 2237, 2423, 1009, 6498, 169, 1049, 1011, 4747, 1147, 6431, 2555, 1040, 8435, 1503, 3100, 11680, 1009, 1106, 9886, 31077, 1309, 1005, 4049, 1328, 21701, 8, 3900, 8, 2066, 1225, 1048, 1323, 1663, 4354, 18608, 4376, 5026, 1998, 1261, 1044, 8299, 1759, 1014, 1998, 2348, 1495, 15986, 15551, 67, 43, 1009, 16942, 1323, 1663, 1493, 15890, 1383, 28261, 1680, 1009, 18780, 1810, 21216, 6082, 3291, 2246, 8, 24994, 4895, 2584, 3897, 1225, 1048, 1261, 2073, 3616, 2247, 1060, 13982, 5, 19946, 3616, 1009, 9468, 1324, 2073, 3616, 1048, 5969, 1007, 2007, 19946, 3616, 1048, 10333, 29120, 8530, 1025, 3841, 2402, 1009, 3445, 25702, 1599, 5161, 3938, 1048, 3904, 1060, 16613, 1009, 1058, 3291, 14650, 1940, 75, 1497, 1657, 1068, 1317, 1930, 1068, 12716, 1356, 1235, 3445, 1383, 1068, 1178, 1998, 29755, 2855, 1467, 1803, 1026, 16102, 31649, 7035, 2739, 7741, 1009, 3659, 2383, 1069, 3226, 3502, 1009, 2992, 1009, 4119, 1726, 1204, 28345, 1576, 18318, 1973, 17908, 8358, 18881, 1231, 8866, 3062, 1043, 4859, 2256, 1210, 3342, 12012, 1006, 5758, 2880, 1054, 6832, 1503, 13777, 1048, 1026, 1503, 1064, 1130, 1221, 3987, 2179, 30625, 2257, 1025, 18325, 7, 1063, 18827, 17488, 6202, 75, 7881, 3616, 1048, 8701, 1222, 2572, 1048, 1033, 1075, 1577, 5553, 1264, 8285, 12805, 1962, 4982, 20138, 17243, 25763, 4438, 4982, 11798, 1516, 1094, 2179, 30625, 1009, 10566, 1309, 1006, 5187, 1009, 1094, 29120, 7297, 1715, 8836, 9234, 1114, 1804, 1129, 30057, 2306, 2598, 3900, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 5003, 24848, 81, 28388, 1973, 3226, 26691, 4982, 1026, 8976, 1927, 1195, 1026, 1538, 1367, 5895, 19224, 11104, 1804, 18056, 1005, 16429, 17105, 3082, 11104, 1030, 6551, 13, 1996, 1049, 2963, 13, 2796, 6732, 2020, 2953, 1253, 3504, 10449, 1927, 1048, 7032, 5645, 1751, 1323, 3865, 1094, 5223, 1009, 21950, 1432, 11374, 1193, 1034, 1715, 1005, 1572, 2118, 29842, 1043, 1006, 19324, 16551, 2246, 1096, 2535, 1009, 2175, 1024, 6185, 2519, 32, 3943, 2519, 1048, 15309, 1054, 1299, 2693, 3907, 2135, 5139, 2612, 1132, 9354, 1058, 1299, 23990, 2135, 5139, 1325, 2220, 1026, 1557, 18363, 1395, 1419, 2135, 14013, 1566, 1160, 4337, 3659, 1305, 1299, 2100, 1096, 4805, 2423, 11553, 1048, 1225, 1118, 21130, 3708, 37, 1124, 2624, 1026, 1853, 1096, 22074, 1006, 10421, 1005, 3659, 1998, 1043, 1026, 8282, 1592, 5848, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 2830, 24848, 81, 28388, 1973, 17908, 2631, 1096, 27834, 1043, 1006, 16126, 6685, 1009, 6723, 1187, 6353, 1072, 1784, 1060, 2423, 1005, 1187, 4533, 1005, 2093, 1014, 1026, 1600, 91, 1072, 29412, 1328, 17486, 1229, 1048, 1318, 1381, 1044, 2446, 1009, 3374, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 2944, 3341, 10478, 1973, 28772, 12690, 6258, 1327, 3711, 8898, 7332, 24755, 7698, 86, 1775, 6463, 32, 3702, 1026, 4575, 12117, 3241, 1841, 2739, 5625, 9665, 1392, 1049, 2146, 1029, 20604, 1264, 1225, 1094, 9013, 1048, 3819, 2146, 1029, 5378, 1225, 32, 1178, 4310, 1009, 3659, 6794, 1356, 1680, 1060, 3271, 1048, 8027, 1324, 1005, 1178, 4310, 1009, 3659, 6794, 1058, 5593, 1044, 5768, 1114, 1080, 26517, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 3430, 2324, 1065, 45, 85, 1973, 3226, 40, 15323, 1142, 3728, 1005, 12876, 9493, 2449, 1607, 1034, 1009, 1663, 14883, 30566, 7835, 3093, 2668, 7835, 3093, 28285, 1005, 2449, 1318, 2092, 7835, 19, 1042, 25198, 2652, 2656, 10689, 1213, 4918, 19894, 6258, 1225, 3057, 1150, 6235, 1406, 1309, 4803, 1124, 3145, 1898, 61, 1029, 15909, 1744, 1363, 3504, 3205, 1049, 3650, 85, 15158, 28903, 1096, 7155, 1006, 10421, 1060, 2888, 1145, 29721, 1072, 31333, 1094, 19345, 1860, 15465, 1704, 1692, 2020, 1730, 1380, 1210, 9714, 1870, 9631, 1037, 1434, 32, 3449, 1048, 1096, 1044, 5317, 27097, 1599, 1206, 1109, 1334, 1897, 1026, 1048, 1058, 1225, 1114, 10421, 2429, 2423, 1833, 1006, 1853, 3226, 18402, 13257, 11104, 2020, 1120, 1323, 18, 1049, 14047, 10785, 17169, 1853, 2429, 2423, 1096, 1048, 1096, 1044, 1761, 2526, 1571, 1006, 29769, 7845, 1109, 2519, 1048, 1160, 1195, 1264, 1048, 19981, 1687, 1060, 5813, 1014, 1196, 1406, 1005, 1841, 1026, 8679, 5493, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 3851, 1797, 8968, 15459, 1809, 15949, 1973, 19007, 3376, 2289, 20995, 1049, 8291, 9129, 1554, 1084, 1026, 1235, 24367, 1324, 2348, 4614, 26357, 14865, 1044, 26965, 1687, 1160, 16266, 1576, 2390, 10201, 1687, 1058, 27360, 1940, 71, 1370, 1284, 75, 1687, 1160, 5662, 3341, 2560, 15581, 1687, 19333, 1797, 1208, 1385, 3994, 1687, 4126, 2979, 3670, 4221, 3420, 1687, 1160, 17079, 11094, 27027, 11094, 12717, 11094, 21701, 1071, 13426, 7199, 27027, 3048, 5948, 1962, 1264, 1005, 1096, 5938, 1046, 9552, 8, 17075, 4501, 6242, 1026, 5762, 1009, 2306, 15954, 1927, 1054, 19102, 1592, 1043, 1006, 3897, 6968, 1184, 1049, 1048, 5573, 1048, 1160, 15954, 1006, 2822, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 5784, 1576, 22735, 1035, 1973, 13070, 3969, 1048, 1006, 2751, 4380, 1096, 1048, 1124, 1783, 1160, 11825, 4431, 13445, 2654, 2832, 1089, 1493, 2122, 2423, 1251, 3899, 4447, 26552, 1996, 1009, 14126, 4022, 1114, 10421, 1833, 2369, 2118, 3987, 1224, 26852, 7349, 21701, 1206, 1141, 1329, 73, 1087, 1140, 1318, 2039, 1324, 1309, 1687, 19244, 2177, 3746, 1893, 1043, 1235, 3820, 1009, 7928, 2100, 11149, 4306, 4278, 1009, 3680, 2967, 1330, 1087, 1580, 1048, 10609, 1202, 3469, 1206, 6231, 1412, 29076, 5023, 15768, 1160, 21786, 2799, 1667, 1063, 3964, 5267, 1096, 1048, 6082, 1919, 1048, 1096, 21333, 2274, 9344, 1048, 1327, 1049, 1580, 13445, 9072, 1026, 6650, 1060, 2348, 18633, 9335, 17449, 1006, 14027, 1005, 8253, 1058, 11410, 1005, 2569, 4614, 6909, 1048, 1516, 21864, 7811, 1091, 1049, 2154, 27532, 20, 31918, 8981, 20125, 1229, 14699, 30274, 6812, 1715, 3773, 1312, 1005, 17957, 1160, 2643, 3819, 4078, 1120, 1876, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 5963, 1576, 22735, 1035, 1973, 13070, 2975, 1005, 3611, 3992, 1213, 6737, 1049, 2434, 4669, 2095, 10568, 1712, 16077, 1009, 1622, 14250, 1096, 1006, 16077, 1009, 6012, 1017, 1602, 1130, 2100, 2656, 5192, 1009, 1571, 3904, 9282, 1551, 1094, 1700, 3213, 1009, 3181, 1930, 6119, 37, 1551, 1044, 12995, 1009, 21502, 1005, 4533, 1043, 4253, 1009, 1048, 8701, 3445, 1096, 1712, 1048, 2289, 8, 13719, 1089, 19219, 21650, 1048, 1096, 1094, 16077, 1009, 14330, 1616, 1096, 10531, 22371, 1049, 7928, 1009, 10264, 1026, 18734, 1084, 1096, 1006, 3616, 1184, 31338, 1048, 4292, 1962, 1094, 3897, 20, 14013, 1381, 1043, 1048, 1687, 1058, 6462, 1043, 2220, 2446, 1009, 21700, 86, 1889, 1114, 6728, 1009, 1048, 1264, 2155, 5525, 1356, 1622, 1049, 3445, 5493, 30385, 4145, 6256, 20294, 1080, 159, 72, 1599, 3746, 2016, 23325, 6896, 1100, 27082, 3478, 1475, 1343, 19, 1165, 2021, 4547, 11929, 3226, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 6259, 24848, 81, 28388, 1973, 17908, 8358, 2423, 1009, 2146, 1029, 5378, 30087, 1208, 26501, 6732, 2579, 16180, 1049, 1570, 85, 1081, 27, 4354, 11536, 1898, 47, 19935, 13257, 1025, 1917, 1015, 2455, 1253, 1005, 16429, 17166, 1605, 1088, 2488, 16371, 1011, 1320, 1014, 1098, 2186, 2009, 2107, 1543, 1021, 3008, 4040, 1234, 2186, 1086, 9405, 8532, 2186, 13732, 11804, 31697, 3951, 1467, 3169, 5000, 4266, 1015, 1208, 2020, 1120, 89, 2604, 16896, 95, 1006, 19994, 29040, 1015, 1208, 26501, 6732, 2579, 16180, 1175, 1422, 62, 21296, 1094, 2423, 1048, 5632, 1009, 2596, 18378, 1145, 1026, 2146, 25198, 2652, 1063, 2423, 2146, 1029, 5378, 1049, 9268, 76, 14258, 1054, 1048, 1026, 8187, 19921, 1156, 2020, 18060, 1449, 2461, 7115, 2146, 1029, 5378, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 1158, 29435, 9531, 9148, 1973, 3226, 44, 1362, 2948, 3097, 6662, 2948, 3097, 6662, 2948, 1342, 1009, 16840, 1160, 5192, 1058, 12931, 1323, 1317, 1273, 1962, 1048, 12931, 1323, 1058, 1815, 9726, 5848, 3502, 1009, 2992, 1009, 4119, 1726, 3186, 24383, 5, 1321, 1685, 1973, 28772, 1225, 2924, 3616, 13311, 9894, 1322, 1159, 1006, 2423, 1381, 1006, 4614, 4877, 20, 3735, 1184, 2360, 1503, 1160, 14046, 1034, 1006, 10421, 1009, 4320, 8804, 1175, 2446, 1983, 20016, 9027, 1048, 1503, 9583, 3877, 1962, 1323, 9728, 1049, 1048, 1836, 9485, 1175, 1005, 11217, 1072, 1048, 1006, 2423, 6042, 2275, 29587, 1323, 1210, 19619, 1034, 6277, 1592, 1048, 1503, 1160, 7211, 1323, 6440, 2612, 1049, 5054, 1833, 1160, 5956, 1048, 1006, 4447, 26552, 3987, 2423, 1049, 4434, 2374, 1992, 23907, 1206, 5450, 1206, 1026, 1048, 1058, 11696, 4247, 9251, 6141, 1054, 4327, 28223, 20, 1084, 1846, 1048, 14046, 79, 1006, 6509, 2339, 5956, 1048, 13834, 1393, 1490, 1041, 1810, 1114, 10091, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 18061, 3612, 1691, 1017, 1665, 8433, 1973, 3226, 44, 2144, 1736, 2146, 1029, 4138, 1157, 28417, 2077, 1114, 3808, 3289, 697, 7759, 14996, 1044, 11273, 1068, 3807, 5478, 2519, 3100, 1503, 1406, 4078, 1120, 2682, 1510, 1262, 5160, 2247, 1009, 1178, 1413, 1889, 4810, 14375, 2863, 1187, 2146, 25198, 1248, 1096, 1048, 1124, 1783, 1998, 14239, 1006, 13020, 1511, 1026, 8976, 5934, 3226, 1366, 1506, 7800, 1819, 1715, 12677, 5956, 1048, 1006, 3897, 19244, 2374, 3746, 1893, 1511, 1096, 1094, 2146, 25198, 2652, 2034, 3680, 8072, 1046, 2073, 1044, 1048, 5553, 4236, 1049, 1235, 3820, 1009, 4626, 1100, 2276, 1111, 5084, 26167, 1206, 5089, 1826, 1475, 2287, 1006, 2073, 2446, 1009, 3746, 8034, 1206, 15477, 15021, 1096, 1184, 3707, 1049, 1048, 1058, 2381, 1377, 8470, 9207, 1043, 4031, 18701, 11116, 1309, 1160, 1096, 14174, 1178, 1006, 3897, 1048 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5360, 6952, 1060, 8322, 1026, 1048, 15954, 18558, 9788, 13, 2796, 6732, 2020, 2953, 1253, 11104, 1406, 1160, 10961, 1048, 1264, 1096, 1044, 2146, 25198, 2652, 15369, 1264, 1592, 25820, 1048, 1096, 1044, 1429, 1328, 21864, 1005, 23172, 7, 7029, 2021, 4289, 22264, 1383, 12180, 1006, 17927, 1060, 20969, 2656, 5956, 1026, 2058, 21333, 3617, 2013, 6329, 1041, 4547, 2637, 1048, 1160, 2080, 1126, 1048, 2155, 5711, 1962, 1927, 1715, 12427, 1342, 13288, 1043, 1006, 10421, 7655, 1026, 3807, 5478, 10761, 8, 1503, 1620, 1160, 31380, 1089, 2904, 85, 1441, 3874, 2289, 1616, 7, 1542, 3804, 1595, 1668, 4434, 1114, 3757, 20247, 5948, 20975, 1026, 2025, 1223, 4434, 1060, 26878, 1322, 1006, 11315, 1142, 1069, 1006, 1142, 1599, 1048, 20352, 1049, 3807, 5478, 10761, 2100, 1084, 11705, 2569, 1026, 2201, 12507, 9568, 1009, 5215, 5770, 1060, 1180, 1085, 1434, 1134, 21513, 20, 2654, 3048, 3855, 1048, 1687, 9090, 4305, 1044, 6859, 20, 1138, 8484, 1325, 2220, 29320, 1069, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 2944, 9531, 9148, 1973, 13070, 3969, 1048, 1096, 13466, 1629, 1663, 3425, 1043, 5138, 4682, 1491, 1094, 1630, 2165, 1962, 1201, 1930, 3036, 23198, 11957, 1573, 9733, 1020, 1185, 2972, 11798, 10029, 5818, 6818, 1054, 9441, 1616, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 2337, 5, 11300, 79, 1973, 1256, 2875, 9886, 1927, 13777, 2122, 2423, 11553, 1118, 3865, 5816, 9027, 1495, 2257, 3326, 1069, 1043, 2348, 7668, 1048, 1058, 1044, 2519, 4551, 1993, 1616, 1068, 4982, 1503, 22923, 31230, 7, 1006, 18827, 18827, 3385, 1096, 2045, 2689, 2238, 1028, 5280, 1006, 4005, 1049, 1809, 1253, 1096, 1094, 2844, 24436, 3713, 1225, 2693, 6375, 1322, 16735, 1009, 2637, 1309, 1264, 1160, 1178, 9994, 1043, 1026, 1048, 14756, 1508, 1114, 1150, 12079, 2733, 2100, 8713, 1294, 1323, 6289, 1009, 7320, 27255, 5848, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 4994, 9531, 9148, 1973, 25533, 1017, 1092, 1009, 26907, 1043, 2653, 5812, 9175, 1572, 2118, 1043, 2539, 21088, 3735, 1503, 1516, 1184, 2360, 1160, 20629, 6993, 2237, 2423, 1049, 2045, 2689, 12879, 2598, 1064, 1706, 10277, 1309, 31312, 1278, 2449, 11456, 1043, 8692, 1072, 7661, 1005, 1927, 1323, 3904, 3730, 1021, 21972, 13378, 1009, 18106, 8, 1233, 5131, 20, 6836, 1928, 85, 2199, 85, 7464, 1077, 1060, 8322, 8935, 1068, 7726, 1006, 4022, 1060, 4614, 1068, 10592, 17369, 2706, 3150, 12710, 9485, 1054, 8291, 4243, 6762, 1846, 1009, 1261, 1094, 18665, 22723, 1072, 1852, 1049, 1901, 1349, 1160, 1096, 1998, 2951, 4033, 2519, 8, 1048, 1225, 1094, 10421, 3347, 4385, 11281, 29867, 4452, 1142, 1078, 6284, 1357, 5741, 1009, 16757, 2162, 1024, 7, 4115, 1094, 2924, 2423, 1049, 8291, 1048, 1919, 10103, 8185, 3493, 5948, 1048, 4230, 1150, 13533, 17208, 14768, 53, 1222, 1687, 2155, 1503, 4540, 9648, 1687, 1325, 1503, 3074, 1383, 1752, 1531, 1184, 1049, 1188, 1118, 1687, 1503, 3100, 8337, 18870, 2624, 1160, 4647, 29304, 1309, 1503, 1710, 1047, 18698, 1048, 1096, 2092, 1503, 2153, 1188, 1005, 1160, 1323, 29386, 1047, 1467, 6095, 13961, 19216, 20175, 2555, 1040, 1044, 12855, 1962, 3754, 1048, 1687, 1096, 2348, 8, 1383, 1357, 2348, 4953, 1998, 1475, 6037, 24937, 1157, 1096, 1048, 4343, 9459, 3749, 2237, 2423, 1009, 6498, 169, 1049, 1011, 4747, 1147, 6431, 2555, 1040, 8435, 1503, 3100, 11680, 1009, 1106, 9886, 31077, 1309, 1005, 4049, 1328, 21701, 8, 3900, 8, 2066, 1225, 1048, 1323, 1663, 4354, 18608, 4376, 5026, 1998, 1261, 1044, 8299, 1759, 1014, 1998, 2348, 1495, 15986, 15551, 67, 43, 1009, 16942, 1323, 1663, 1493, 15890, 1383, 28261, 1680, 1009, 18780, 1810, 21216, 6082, 3291, 2246, 8, 24994, 4895, 2584, 3897, 1225, 1048, 1261, 2073, 3616, 2247, 1060, 13982, 5, 19946, 3616, 1009, 9468, 1324, 2073, 3616, 1048, 5969, 1007, 2007, 19946, 3616, 1048, 10333, 29120, 8530, 1025, 3841, 2402, 1009, 3445, 25702, 1599, 5161, 3938, 1048, 3904, 1060, 16613, 1009, 1058, 3291, 14650, 1940, 75, 1497, 1657, 1068, 1317, 1930, 1068, 12716, 1356, 1235, 3445, 1383, 1068, 1178, 1998, 29755, 2855, 1467, 1803, 1026, 16102, 31649, 7035, 2739, 7741, 1009, 3659, 2383, 1069, 3226, 3502, 1009, 2992, 1009, 4119, 1726, 1204, 28345, 1576, 18318, 1973, 17908, 8358, 18881, 1231, 8866, 3062, 1043, 4859, 2256, 1210, 3342, 12012, 1006, 5758, 2880, 1054, 6832, 1503, 13777, 1048, 1026, 1503, 1064, 1130, 1221, 3987, 2179, 30625, 2257, 1025, 18325, 7, 1063, 18827, 17488, 6202, 75, 7881, 3616, 1048, 8701, 1222, 2572, 1048, 1033, 1075, 1577, 5553, 1264, 8285, 12805, 1962, 4982, 20138, 17243, 25763, 4438, 4982, 11798, 1516, 1094, 2179, 30625, 1009, 10566, 1309, 1006, 5187, 1009, 1094, 29120, 7297, 1715, 8836, 9234, 1114, 1804, 1129, 30057, 2306, 2598, 3900, 3502, 1009, 2992, 1009, 4119, 1726, 16473, 5003, 24848, 81, 28388, 1973, 3226, 26691, 4982, 1026, 8976, 1927, 1195, 1026, 1538, 1367, 5895, 19224, 11104, 1804, 18056, 1005, 16429, 17105, 3082, 11104, 1030, 6551, 13, 1996, 1049, 2963, 13, 2796, 6732, 2020, 2953, 1253, 3504, 10449, 1927, 1048, 7032, 5645, 1751, 1323, 3865, 1094, 5223, 1009, 21950, 1432, 11374, 1193, 1034, 1715, 1005, 1572, 2118, 29842, 1043, 1006, 19324, 16551, 2246, 1096, 2535, 1009, 2175, 1024, 6185, 2519, 32, 3943, 2519, 1048, 15309, 1054, 1299, 2693, 3907, 2135, 5139, 2612, 1132, 9354, 1058, 1299, 23990, 2135, 5139, 1325, 2220, 1026, 1557, 18363, 1395, 1419, 2135, 14013, 1566, 1160, 4337, 3659, 1305, 1299, 2100, 1096, 4805, 2423, 11553, 1048, 1225, 1118, 21130, 3708, 37, 1124, 2624, 1026, 1853, 1096, 22074, 1006, 10421, 1005, 3659, 1998, 1043, 1026, 8282, 1592, 5848, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 2830, 24848, 81, 28388, 1973, 17908, 2631, 1096, 27834, 1043, 1006, 16126, 6685, 1009, 6723, 1187, 6353, 1072, 1784, 1060, 2423, 1005, 1187, 4533, 1005, 2093, 1014, 1026, 1600, 91, 1072, 29412, 1328, 17486, 1229, 1048, 1318, 1381, 1044, 2446, 1009, 3374, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 2944, 3341, 10478, 1973, 28772, 12690, 6258, 1327, 3711, 8898, 7332, 24755, 7698, 86, 1775, 6463, 32, 3702, 1026, 4575, 12117, 3241, 1841, 2739, 5625, 9665, 1392, 1049, 2146, 1029, 20604, 1264, 1225, 1094, 9013, 1048, 3819, 2146, 1029, 5378, 1225, 32, 1178, 4310, 1009, 3659, 6794, 1356, 1680, 1060, 3271, 1048, 8027, 1324, 1005, 1178, 4310, 1009, 3659, 6794, 1058, 5593, 1044, 5768, 1114, 1080, 26517, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 3430, 2324, 1065, 45, 85, 1973, 3226, 40, 15323, 1142, 3728, 1005, 12876, 9493, 2449, 1607, 1034, 1009, 1663, 14883, 30566, 7835, 3093, 2668, 7835, 3093, 28285, 1005, 2449, 1318, 2092, 7835, 19, 1042, 25198, 2652, 2656, 10689, 1213, 4918, 19894, 6258, 1225, 3057, 1150, 6235, 1406, 1309, 4803, 1124, 3145, 1898, 61, 1029, 15909, 1744, 1363, 3504, 3205, 1049, 3650, 85, 15158, 28903, 1096, 7155, 1006, 10421, 1060, 2888, 1145, 29721, 1072, 31333, 1094, 19345, 1860, 15465, 1704, 1692, 2020, 1730, 1380, 1210, 9714, 1870, 9631, 1037, 1434, 32, 3449, 1048, 1096, 1044, 5317, 27097, 1599, 1206, 1109, 1334, 1897, 1026, 1048, 1058, 1225, 1114, 10421, 2429, 2423, 1833, 1006, 1853, 3226, 18402, 13257, 11104, 2020, 1120, 1323, 18, 1049, 14047, 10785, 17169, 1853, 2429, 2423, 1096, 1048, 1096, 1044, 1761, 2526, 1571, 1006, 29769, 7845, 1109, 2519, 1048, 1160, 1195, 1264, 1048, 19981, 1687, 1060, 5813, 1014, 1196, 1406, 1005, 1841, 1026, 8679, 5493, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 3851, 1797, 8968, 15459, 1809, 15949, 1973, 19007, 3376, 2289, 20995, 1049, 8291, 9129, 1554, 1084, 1026, 1235, 24367, 1324, 2348, 4614, 26357, 14865, 1044, 26965, 1687, 1160, 16266, 1576, 2390, 10201, 1687, 1058, 27360, 1940, 71, 1370, 1284, 75, 1687, 1160, 5662, 3341, 2560, 15581, 1687, 19333, 1797, 1208, 1385, 3994, 1687, 4126, 2979, 3670, 4221, 3420, 1687, 1160, 17079, 11094, 27027, 11094, 12717, 11094, 21701, 1071, 13426, 7199, 27027, 3048, 5948, 1962, 1264, 1005, 1096, 5938, 1046, 9552, 8, 17075, 4501, 6242, 1026, 5762, 1009, 2306, 15954, 1927, 1054, 19102, 1592, 1043, 1006, 3897, 6968, 1184, 1049, 1048, 5573, 1048, 1160, 15954, 1006, 2822, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 5784, 1576, 22735, 1035, 1973, 13070, 3969, 1048, 1006, 2751, 4380, 1096, 1048, 1124, 1783, 1160, 11825, 4431, 13445, 2654, 2832, 1089, 1493, 2122, 2423, 1251, 3899, 4447, 26552, 1996, 1009, 14126, 4022, 1114, 10421, 1833, 2369, 2118, 3987, 1224, 26852, 7349, 21701, 1206, 1141, 1329, 73, 1087, 1140, 1318, 2039, 1324, 1309, 1687, 19244, 2177, 3746, 1893, 1043, 1235, 3820, 1009, 7928, 2100, 11149, 4306, 4278, 1009, 3680, 2967, 1330, 1087, 1580, 1048, 10609, 1202, 3469, 1206, 6231, 1412, 29076, 5023, 15768, 1160, 21786, 2799, 1667, 1063, 3964, 5267, 1096, 1048, 6082, 1919, 1048, 1096, 21333, 2274, 9344, 1048, 1327, 1049, 1580, 13445, 9072, 1026, 6650, 1060, 2348, 18633, 9335, 17449, 1006, 14027, 1005, 8253, 1058, 11410, 1005, 2569, 4614, 6909, 1048, 1516, 21864, 7811, 1091, 1049, 2154, 27532, 20, 31918, 8981, 20125, 1229, 14699, 30274, 6812, 1715, 3773, 1312, 1005, 17957, 1160, 2643, 3819, 4078, 1120, 1876, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 5963, 1576, 22735, 1035, 1973, 13070, 2975, 1005, 3611, 3992, 1213, 6737, 1049, 2434, 4669, 2095, 10568, 1712, 16077, 1009, 1622, 14250, 1096, 1006, 16077, 1009, 6012, 1017, 1602, 1130, 2100, 2656, 5192, 1009, 1571, 3904, 9282, 1551, 1094, 1700, 3213, 1009, 3181, 1930, 6119, 37, 1551, 1044, 12995, 1009, 21502, 1005, 4533, 1043, 4253, 1009, 1048, 8701, 3445, 1096, 1712, 1048, 2289, 8, 13719, 1089, 19219, 21650, 1048, 1096, 1094, 16077, 1009, 14330, 1616, 1096, 10531, 22371, 1049, 7928, 1009, 10264, 1026, 18734, 1084, 1096, 1006, 3616, 1184, 31338, 1048, 4292, 1962, 1094, 3897, 20, 14013, 1381, 1043, 1048, 1687, 1058, 6462, 1043, 2220, 2446, 1009, 21700, 86, 1889, 1114, 6728, 1009, 1048, 1264, 2155, 5525, 1356, 1622, 1049, 3445, 5493, 30385, 4145, 6256, 20294, 1080, 159, 72, 1599, 3746, 2016, 23325, 6896, 1100, 27082, 3478, 1475, 1343, 19, 1165, 2021, 4547, 11929, 3226, 3502, 1009, 2992, 1009, 4119, 1726, 16819, 6259, 24848, 81, 28388, 1973, 17908, 8358, 2423, 1009, 2146, 1029, 5378, 30087, 1208, 26501, 6732, 2579, 16180, 1049, 1570, 85, 1081, 27, 4354, 11536, 1898, 47, 19935, 13257, 1025, 1917, 1015, 2455, 1253, 1005, 16429, 17166, 1605, 1088, 2488, 16371, 1011, 1320, 1014, 1098, 2186, 2009, 2107, 1543, 1021, 3008, 4040, 1234, 2186, 1086, 9405, 8532, 2186, 13732, 11804, 31697, 3951, 1467, 3169, 5000, 4266, 1015, 1208, 2020, 1120, 89, 2604, 16896, 95, 1006, 19994, 29040, 1015, 1208, 26501, 6732, 2579, 16180, 1175, 1422, 62, 21296, 1094, 2423, 1048, 5632, 1009, 2596, 18378, 1145, 1026, 2146, 25198, 2652, 1063, 2423, 2146, 1029, 5378, 1049, 9268, 76, 14258, 1054, 1048, 1026, 8187, 19921, 1156, 2020, 18060, 1449, 2461, 7115, 2146, 1029, 5378, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 1158, 29435, 9531, 9148, 1973, 3226, 44, 1362, 2948, 3097, 6662, 2948, 3097, 6662, 2948, 1342, 1009, 16840, 1160, 5192, 1058, 12931, 1323, 1317, 1273, 1962, 1048, 12931, 1323, 1058, 1815, 9726, 5848, 3502, 1009, 2992, 1009, 4119, 1726, 3186, 24383, 5, 1321, 1685, 1973, 28772, 1225, 2924, 3616, 13311, 9894, 1322, 1159, 1006, 2423, 1381, 1006, 4614, 4877, 20, 3735, 1184, 2360, 1503, 1160, 14046, 1034, 1006, 10421, 1009, 4320, 8804, 1175, 2446, 1983, 20016, 9027, 1048, 1503, 9583, 3877, 1962, 1323, 9728, 1049, 1048, 1836, 9485, 1175, 1005, 11217, 1072, 1048, 1006, 2423, 6042, 2275, 29587, 1323, 1210, 19619, 1034, 6277, 1592, 1048, 1503, 1160, 7211, 1323, 6440, 2612, 1049, 5054, 1833, 1160, 5956, 1048, 1006, 4447, 26552, 3987, 2423, 1049, 4434, 2374, 1992, 23907, 1206, 5450, 1206, 1026, 1048, 1058, 11696, 4247, 9251, 6141, 1054, 4327, 28223, 20, 1084, 1846, 1048, 14046, 79, 1006, 6509, 2339, 5956, 1048, 13834, 1393, 1490, 1041, 1810, 1114, 10091, 1059, 3502, 1009, 2992, 1009, 4119, 1726, 18061, 3612, 1691, 1017, 1665, 8433, 1973, 3226, 44, 2144, 1736, 2146, 1029, 4138, 1157, 28417, 2077, 1114, 3808, 3289, 697, 7759, 14996, 1044, 11273, 1068, 3807, 5478, 2519, 3100, 1503, 1406, 4078, 1120, 2682, 1510, 1262, 5160, 2247, 1009, 1178, 1413, 1889, 4810, 14375, 2863, 1187, 2146, 25198, 1248, 1096, 1048, 1124, 1783, 1998, 14239, 1006, 13020, 1511, 1026, 8976, 5934, 3226, 1366, 1506, 7800, 1819, 1715, 12677, 5956, 1048, 1006, 3897, 19244, 2374, 3746, 1893, 1511, 1096, 1094, 2146, 25198, 2652, 2034, 3680, 8072, 1046, 2073, 1044, 1048, 5553, 4236, 1049, 1235, 3820, 1009, 4626, 1100, 2276, 1111, 5084, 26167, 1206, 5089, 1826, 1475, 2287, 1006, 2073, 2446, 1009, 3746, 8034, 1206, 15477, 15021, 1096, 1184, 3707, 1049, 1048, 1058, 2381, 1377, 8470, 9207, 1043, 4031, 18701, 11116, 1309, 1160, 1096, 14174, 1178, 1006, 3897, 1048 ]

[ 1048, 1322, 1668, 6976, 2739, 1783, 1160, 1225, 9822, 10758, 7811, 23841, 1493, 1271, 24625, 1072, 1235, 4449, 1005, 1503, 7206, 1009, 3291, 1058, 2307, 1054, 1764, 4989, 1071, 96, 2801, 8100, 15, 7110, 1225, 3473, 26822, 1060, 4482, 5303, 152, 7168, 1689, 23126, 1293, 1503, 7206, 1009, 3291, 1058, 1006, 4482, 7168, 1689, 1096, 1094, 4482, 23268, 1087, 1401, 1029, 2098, 1085, 7195, 1323, 7340, 2266, 1118, 7793, 18, 1206, 1118, 17226, 675, 3482, 7393, 18760, 5450, 1511, 3675, 85, 1048, 1132, 30890, 1009, 5412, 1826, 7266, 1157, 1068, 1006, 6386, 15748, 1145, 1005, 12921, 1049, 2930, 1557, 2904, 1013, 1047, 1048, 1160, 1195, 4564, 1299, 2464, 21618, 2845, 1006, 14632, 1048, 1006, 4380, 1187, 1004, 27785, 2602, 8174, 73, 1648, 1044, 11577, 1184, 19248, 1213, 1048, 1919, 1124, 2726, 3716, 9303, 3569, 3021, 14869, 1783, 1826, 9824, 11890, 1132, 9800, 15748, 1391, 1005, 2420, 88, 9916, 1118, 4384, 1015, 24753, 1006, 24423, 23721, 5848, 10778, 1213, 28006, 1087, 1401, 1029, 5120, 1058, 1616, 3901, 1048, 1011, 10514, 1294, 1049, 1269, 1049, 8460, 5292, 1005, 1054, 1569, 6744, 4650, 10094, 8677, 28006, 1087, 2770, 2255, 3702, 1160, 1668, 24234, 1234, 13233, 1006, 8494, 1054, 2869, 1006, 9282, 14336, 22195, 1229, 3249, 1508, 1026, 4249, 15748, 1221, 1009, 1752, 15580, 1005, 1808, 1508, 1026, 8330, 1043, 3219, 4908, 8435, 4929, 1233, 1224, 10001, 1068, 7636, 1734, 13706, 2130, 20, 1, 1138, 12987, 4949, 3068, 15628, 13932, 5313, 1379, 1006, 4330, 1112, 1271, 3235, 1124, 10457, 13559, 7332, 1049, 4813, 1049, 8605, 4093, 1044, 4758, 10745, 1114, 1641, 1009, 1156, 4411, 19182, 1026, 4898, 9498, 3661, 3068, 15628, 13932, 1044, 3366, 1048, 1225, 1026, 3489, 1009, 11860, 1068, 1026, 3090, 1049, 10123, 20, 1587, 5156, 1356, 8758, 1007, 1324, 1054, 5966, 1043, 1026, 8737, 5170, 1060, 10839, 1199, 2794, 1018, 10124, 1005, 8955, 1271, 4105, 13634, 1049, 2956, 1060, 8250, 4015, 79, 1375, 1349, 1026, 18126, 1049, 25527, 1009, 1163, 12867, 5313, 1379, 1006, 4330, 1112, 1271, 3235, 1124, 10457, 13559, 7332, 20, 1063, 8515, 1381, 1751, 1049, 8566, 1009, 16847, 25076, 1356, 8758, 1007, 1324, 2271, 4210, 1704, 5317, 7312, 1043, 17410, 1322, 1124, 10457, 13559, 7332, 1049, 4813, 1049, 29523, 1054, 14617, 1132, 5283, 1009, 15139, 23933, 1005, 4300, 28883, 30045, 1009, 12197, 2101, 1009, 1123, 7637, 13659, 1102, 1005, 1009, 27317, 1022, 1112, 1009, 20267, 2227, 1005, 18571, 8424, 2247, 1049, 8658, 1009, 26290, 1006, 6112, 7606, 1047, 1005, 1073, 1948, 3617, 4116, 2220, 2256, 3235, 16240, 6660, 1114, 4751, 4578, 1026, 9989, 7694, 9375, 3478, 6098, 1049, 3366, 1195, 1009, 1015, 2104, 4493, 1068, 17704, 1006, 22208, 1187, 15654, 1049, 4898, 1005, 5574, 1184, 10936, 1124, 10457, 1048, 13559, 1046, 1006, 7689, 1187, 18865, 1086, 2761, 5345, 2373, 25900, 10395, 2593, 1173, 1361, 1726, 6264, 1005, 1318, 3871, 1006, 23968, 1271, 14774, 1043, 1712, 4022, 1068, 1132, 6709, 1005, 1068, 4732, 1184, 30690, 1072, 3099, 4324, 1973, 1533, 8515, 1049, 8758, 1007, 75, 1054, 6825, 16847, 15475, 1225, 1026, 3489, 1009, 13971, 1754, 1006, 12460, 1060, 5110, 1005, 3177, 1006, 2410, 2585, 1043, 1006, 4455, 1187, 15654, 1054, 30571, 7441, 1005, 6842, 1068, 1026, 29221, 2247, 1060, 8083, 1009, 5118, 4838, 10010, 1005, 4726, 15766, 1, 3735, 1132, 10420, 11368, 1447, 2241, 1009, 2017, 3068, 15328, 2166, 1026, 2671, 1060, 5310, 6139, 2924, 4375, 1068, 22399, 1024, 1184, 3453, 1114, 5337, 3021, 29928, 1048, 1908, 1325, 7620, 1006, 12229, 1024, 1006, 2712, 1107, 1009, 7357, 25827, 16683, 1048, 27097, 1599, 1096, 1044, 22562, 1068, 1026, 8330, 1049, 5108, 1048, 8294, 1060, 5310, 1068, 3647, 1006, 18856, 1060, 2935, 9662, 11213, 1077, 18411, 1096, 1094, 6375, 2512, 1068, 1026, 19277, 4054, 2383, 1263, 2307, 1072, 3878, 4850, 1060, 3178, 1103, 2319, 3568, 1005, 1060, 5910, 1091, 14488, 1034, 1114, 3568, 9482, 7655, 1325, 6794, 1009, 1178, 1044, 2318, 1133, 1009, 28542, 1068, 12356, 1048, 3356, 17576, 1240, 7770, 4837, 1233, 1359, 30673, 1060, 3073, 22659, 7760, 13562, 1140, 1006, 31848, 22500, 1072, 2822, 1049, 3009, 1158, 5653, 1178, 7460, 1053, 5408, 1005, 1765, 1038, 14737, 1006, 17614, 1096, 1318, 1026, 2383, 6625, 1184, 21507, 1048, 1044, 23647, 2283, 5892, 1233, 2779, 5613, 6428, 1009, 1184, 6167, 7562, 1327, 1124, 1048, 2533, 1046, 1831, 20, 1084, 1049, 8976, 7134, 2784, 2340, 10621, 1068, 4883, 8738, 1009, 1944, 4716, 1005, 1009, 4885, 2161, 1821, 6434, 6788, 1420, 2246, 1026, 10511, 5554, 16833, 2374, 2246, 1026, 25594, 1009, 26997, 29514, 1094, 1751, 1712, 1187, 15383, 1072, 1498, 1102, 8482, 24911, 1048, 1026, 20366, 1745, 1188, 1114, 4633, 1160, 1195, 30639, 15, 2098, 1631, 1592, 20928, 1026, 3453, 1048, 1124, 1783, 15186, 1580, 16532, 23483, 1325, 1057, 3992, 2444, 17627, 2653, 1646, 1006, 5405, 1009, 10963, 2733, 1160, 1836, 2072, 6167, 1072, 1561, 4441, 8235, 2598, 9777, 1040, 1006, 11298, 23237, 6372, 626, 10677, 1049, 7674, 5960, 20, 1084, 1620, 2533, 1046, 25594, 1009, 26997, 3021, 1326, 4550, 2059, 1026, 3435, 1118, 9930, 6991, 7092, 1195, 1006, 17614, 3092, 1049, 1901, 15, 1005, 31761, 1213, 18586, 1009, 3049, 1009, 4152, 1704, 3225, 1096, 1712, 1049, 1048, 1026, 18586, 12791, 1048, 1299, 5662, 1072, 4051, 1164, 1009, 4984, 1009, 3049, 1009, 4210, 28024, 2564, 1048, 1096, 4230, 5822, 1024, 24819, 22275, 7742, 1213, 2729, 1049, 1901, 15, 8057, 5267, 1096, 1026, 1048, 21054, 1009, 3124, 1026, 1235, 6573, 3482, 3213, 15521, 2464, 1058, 1026, 15385, 1195, 10492, 1054, 7230, 2155, 1178, 4863, 1213, 2822, 1009, 3973, 1704, 7674, 5960, 21380, 1054, 6544, 1060, 1067, 6372, 7092, 1657, 1080, 16260, 1132, 8235, 1187, 26532, 7274, 3377, 57, 168, 1048, 1006, 1015, 1007, 12936, 2521, 1009, 2289, 1005, 1184, 1044, 2574, 1068, 4480, 1006, 17614, 1679, 1791, 23931, 3482, 168, 17614, 1054, 1162, 6148, 8140, 1299, 1114, 11719, 1049, 5370, 1049, 16970, 1599, 1213, 1592, 1557, 1054, 1048, 1006, 8976, 1494, 4607, 1060, 2042, 13981, 1665, 1094, 2486, 1563, 1009, 7178, 11816, 4929, 2533, 6058, 2328, 1060, 3245, 3465, 1112, 1009, 1244, 8554, 1124, 2120, 1029, 1312, 17776, 1060, 1015, 5304, 12936, 21691, 1833, 1616, 1160, 1837, 2671, 14036, 1048, 1376, 11242, 7297, 3232, 1962, 5525, 1026, 6680, 1060, 6068, 3517, 1, 2800, 7005, 1006, 12635, 1009, 2922, 5615, 1271, 8272, 37, 1711, 11185, 16265, 1713, 1797, 1140, 3271, 1225, 1224, 1871, 8828, 1009, 5115, 1058, 1057, 1014, 22647, 1511, 1325, 6718, 1118, 3473, 9120, 4578, 3371, 1235, 9381, 5838, 1224, 7391, 15, 13651, 6390, 11800, 2255, 1200, 30721, 1159, 1264, 15042, 1048, 1299, 1006, 1420, 32, 23719, 1322, 1026, 21354, 6968, 5193, 21618, 3748, 1124, 3638, 1049, 1531, 1006, 1531, 1159, 1058, 3192, 7211, 26567, 3900, 1817, 2268, 3048, 1927, 1264, 2155, 11146, 1048, 1299, 1006, 1420, 1060, 2921, 29382, 7804, 1329, 7773, 3822, 1428, 1096, 1026, 5762, 3615, 1054, 1752, 7507, 1009, 3629, 1224, 1005, 13341, 21573, 1428, 1096, 1006, 1853, 11589, 1068, 2280, 79, 4882, 1005, 7005, 1006, 12635, 3615, 1009, 2922, 1054, 1752, 4087, 9080, 1833, 2307, 1318, 7, 60, 2178, 6098, 1049, 1633, 1127, 1060, 11185, 16265, 1713, 6977, 9888, 15, 7, 1, 11026, 4319, 1006, 12635, 1009, 2997, 1094, 1807, 10617, 1068, 1006, 6386, 1060, 6793, 1072, 23185, 1184, 1044, 29441, 1195, 12516, 1068, 6894, 1356, 7807, 26114, 1009, 14193, 1026, 1063, 1529, 1165, 1047, 1704, 1063, 1529, 1165, 1047, 4139, 1014, 1174, 82, 1146, 1104, 1236, 15, 1195, 12516, 1357, 2376, 4058, 71, 1054, 6747, 1068, 2490, 1072, 6220, 1084, 1054, 2992, 1009, 4161, 3475, 1118, 1094, 6115, 15289, 1060, 1428, 3230, 2067, 1508, 2248, 3240, 1068, 1178, 25398, 1159, 16848, 1072, 22773, 20, 5926, 11887, 2122, 6115, 4345, 22093, 2307, 5721, 1006, 11221, 1009, 3721, 9419, 9305, 1005, 2452, 5783, 9610, 1010, 1048, 3093, 48, 5690, 57, 6613, 14864, 44, 13818, 1005, 1006, 1535, 1041, 1087, 18111, 1006, 16724, 1112, 1060, 4789, 1174, 82, 1146, 1104, 1236, 1356, 22773, 1704, 3093, 39, 2099, 1589, 39, 1529, 1165, 1047, 3765, 14097, 8548, 1006, 11221, 1009, 1664, 3230, 25461, 10199, 1184, 1322, 1989, 19084, 1026, 9464, 1009, 2490, 2129, 3335, 1054, 5426, 9814, 11785, 4323, 1898, 620, 5539, 11224, 1285, 4955, 4618, 1009, 1944, 2618, 1068, 6793, 27892, 1163, 2606, 64, 63, 20471, 4772, 23980, 27952, 7988, 14083, 2428, 5394, 132, 42, 30307, 1067, 26865, 24346, 50, 2393, 2428, 43, 1082, 145, 24936, 7309, 16549, 6793, 9622, 17896, 58, 3831, 6764, 8517, 2980, 4212, 3726, 7558, 2393, 3083, 23497, 2818, 7921, 59, 3831, 50, 9696, 3726, 27892, 1063, 59, 7231, 45, 8638, 116, 23704, 7338, 1123, 4436, 2053, 42, 2053, 1063, 10943, 3831, 44, 3726, 1062, 2393, 43, 12263, 2982, 6793, 1073, 21270, 2545, 6860, 6793, 3528, 29068, 1211, 10514, 1184, 13357, 1322, 1124, 16388, 1009, 2490, 1049, 1063, 1529, 1165, 4475, 1, 14571, 1226, 1809, 4358, 1206, 1641, 11454, 18, 1096, 1006, 1751, 1184, 5530, 1060, 28757, 1263, 1005, 1325, 13288, 5674, 3567, 2013, 1044, 5603, 7003, 1009, 13379, 1605, 1205, 9867, 1195, 1044, 7618, 1009, 3781, 1111, 75, 8280, 4366, 25423, 1371, 1890, 1006, 1224, 5099, 5977, 1615, 1006, 1782, 1009, 3383, 1009, 2182, 24, 2414, 1072, 8313, 1009, 28757, 1263, 20, 1424, 1467, 4671, 6140, 1048, 20063, 1006, 6317, 5530, 1009, 28757, 1263, 1460, 82, 1088, 1342, 1068, 2247, 1049, 10422, 6158, 14941, 6792, 89, 5106, 3933, 2653, 10155, 1005, 4268, 1006, 27980, 3028, 1090, 1140, 1009, 1044, 3872, 1531, 1054, 28757, 3511, 1094, 1271, 14991, 31294, 1516, 1026, 1009, 1224, 17903, 1523, 13909, 1147, 3690, 1451, 1069, 1463, 12965, 1009, 1044, 1187, 1759, 1089, 1048, 1160, 4540, 3754, 3192, 1048, 1566, 1160, 5553, 11684, 1054, 2073, 8553, 1009, 5099, 1206, 1160, 1058, 4172, 5470, 1072, 3266, 2788, 1715, 2605, 3711, 1605, 2696, 1009, 11953, 1009, 28757, 1263, 11214, 2453, 1049, 10721, 18088, 1031, 1603, 1377, 2013, 1094, 1807, 3513, 4659, 1005, 21021, 3473, 3616, 3057, 2696, 10948, 9791, 1357, 4930, 10388, 1412, 1010, 1043, 20740, 1005, 4290, 9653, 1010, 1009, 7510, 4434, 2144, 7, 2320, 1549, 5215, 5336, 4113, 22340, 4631, 7, 2995, 1631, 26512, 1047, 1114, 1641, 1009, 4735, 83, 171, 18, 1114, 27979, 1726, 12965, 1049, 4657, 1009, 22409, 3617, 1553, 1195, 27676, 1068, 1178, 1044, 5603, 12632, 1185, 2682, 5, 142, 1042, 6410, 1029, 9907, 2915, 27391, 2144, 1096, 1044, 21429, 3099, 26247, 11073, 1054, 1044, 15185, 7538, 1009, 20864, 7260, 25473, 6888, 2271, 8931, 3218, 1205, 1444, 1040, 3195, 3670, 29935, 2237, 1962, 73, 6284, 2072, 4671, 1005, 3156, 1085, 3234, 1118, 2252, 1124, 7122, 28327, 1213, 5211, 20, 15444, 73, 1648, 1009, 1044, 1201, 1667, 1063, 3616, 3711, 1311, 2555, 3883, 19377, 1096, 1094, 8666, 1785, 1914, 1068, 5046, 1051, 1030, 8824, 1045, 72, 5221, 1048, 1096, 1006, 6500, 5046, 1009, 19709, 1333, 1005, 24949, 12502, 1114, 4556, 1294, 1176, 1383, 4418, 1988, 1009, 1764, 6916, 1005, 1026, 1004, 14886, 17910, 1160, 1225, 11456, 2598, 2637, 1009, 1764, 6916, 1005, 1026, 1004, 14886, 37, 2013, 1094, 13943, 1048, 1195, 6754, 1054, 6019, 1009, 1044, 21500, 3509, 1009, 8941, 1048, 8112, 1691, 1029, 1263, 5960, 1809, 2325, 1096, 1006, 1712, 6500, 1114, 1982, 1414, 2275, 1063, 1752, 1531, 2916, 1009, 7631, 1910, 1783, 9480, 1456, 20513, 2135, 2093, 88, 7709, 1005, 8880, 20, 25974, 4735, 7985, 10713, 1060, 7022, 21120, 1009, 28757, 1263, 1325, 1668, 17386, 7538, 9601, 20, 15369, 1054, 2073, 2143, 2269, 10030, 4125, 8589, 1619, 1467, 1641, 1096, 2201, 17995, 1005, 1026, 1557, 3300, 14252, 1603, 1299, 7464, 1009, 13576, 2307, 5544, 10066, 18, 3230, 18657, 1233, 6661, 1187, 14661, 1005, 1287, 10799, 2129, 1605, 6872, 1144, 14890, 1221, 1009, 28757, 1263, 1096, 1044, 11043, 1009, 2042, 1005, 18679, 1048, 4955, 16592, 1322, 1026, 18602, 1187, 1111, 1087, 1229, 1569, 30638, 1004, 1605, 26643, 1009, 28757, 1263, 1096, 1044, 1784, 19991, 1043, 1184, 1009, 2595, 6435, 675, 23171, 2350, 21527, 1118, 15107, 2271, 28757, 3511, 1511, 1006, 1028, 1367, 16087, 6661, 1096, 13373, 1024, 5336, 1006, 1853, 1048, 1503, 1566, 3745, 1114, 2348, 8150, 29427, 1026, 7538, 1096, 12479, 1118, 1224, 1359, 13228, 5971, 71, 6174, 20740, 1184, 25028, 73, 3613, 1060, 13071, 1, 2494, 3907, 1009, 10995, 1044, 14549, 1206, 19142, 14617, 1006, 1944, 10417, 1096, 1026, 10430, 1048, 2177, 2492, 4457, 19605, 1043, 1026, 2285, 1009, 14805, 1229, 26101, 1124, 20561, 1233, 7975, 1005, 1318, 1006, 11276, 1048, 5544, 4531, 1224, 15489, 1620, 1184, 12307, 20, 18935, 1294, 3332, 2602, 1068, 17653, 1005, 2837, 6390, 1048, 1761, 1656, 1068, 1927, 1114, 4981, 12527, 1048, 1317, 1508, 7655, 1616, 1160, 3901, 1048, 1299, 3135, 8895, 1493, 1557, 1206, 3453, 1068, 1261, 1094, 7975, 12307, 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 ]

[ 1048, 1322, 1668, 6976, 2739, 1783, 1160, 1225, 9822, 10758, 7811, 23841, 1493, 1271, 24625, 1072, 1235, 4449, 1005, 1503, 7206, 1009, 3291, 1058, 2307, 1054, 1764, 4989, 1071, 96, 2801, 8100, 15, 7110, 1225, 3473, 26822, 1060, 4482, 5303, 152, 7168, 1689, 23126, 1293, 1503, 7206, 1009, 3291, 1058, 1006, 4482, 7168, 1689, 1096, 1094, 4482, 23268, 1087, 1401, 1029, 2098, 1085, 7195, 1323, 7340, 2266, 1118, 7793, 18, 1206, 1118, 17226, 675, 3482, 7393, 18760, 5450, 1511, 3675, 85, 1048, 1132, 30890, 1009, 5412, 1826, 7266, 1157, 1068, 1006, 6386, 15748, 1145, 1005, 12921, 1049, 2930, 1557, 2904, 1013, 1047, 1048, 1160, 1195, 4564, 1299, 2464, 21618, 2845, 1006, 14632, 1048, 1006, 4380, 1187, 1004, 27785, 2602, 8174, 73, 1648, 1044, 11577, 1184, 19248, 1213, 1048, 1919, 1124, 2726, 3716, 9303, 3569, 3021, 14869, 1783, 1826, 9824, 11890, 1132, 9800, 15748, 1391, 1005, 2420, 88, 9916, 1118, 4384, 1015, 24753, 1006, 24423, 23721, 5848, 10778, 1213, 28006, 1087, 1401, 1029, 5120, 1058, 1616, 3901, 1048, 1011, 10514, 1294, 1049, 1269, 1049, 8460, 5292, 1005, 1054, 1569, 6744, 4650, 10094, 8677, 28006, 1087, 2770, 2255, 3702, 1160, 1668, 24234, 1234, 13233, 1006, 8494, 1054, 2869, 1006, 9282, 14336, 22195, 1229, 3249, 1508, 1026, 4249, 15748, 1221, 1009, 1752, 15580, 1005, 1808, 1508, 1026, 8330, 1043, 3219, 4908, 8435, 4929, 1233, 1224, 10001, 1068, 7636, 1734, 13706, 2130, 20, 1, 1138, 12987, 4949, 3068, 15628, 13932, 5313, 1379, 1006, 4330, 1112, 1271, 3235, 1124, 10457, 13559, 7332, 1049, 4813, 1049, 8605, 4093, 1044, 4758, 10745, 1114, 1641, 1009, 1156, 4411, 19182, 1026, 4898, 9498, 3661, 3068, 15628, 13932, 1044, 3366, 1048, 1225, 1026, 3489, 1009, 11860, 1068, 1026, 3090, 1049, 10123, 20, 1587, 5156, 1356, 8758, 1007, 1324, 1054, 5966, 1043, 1026, 8737, 5170, 1060, 10839, 1199, 2794, 1018, 10124, 1005, 8955, 1271, 4105, 13634, 1049, 2956, 1060, 8250, 4015, 79, 1375, 1349, 1026, 18126, 1049, 25527, 1009, 1163, 12867, 5313, 1379, 1006, 4330, 1112, 1271, 3235, 1124, 10457, 13559, 7332, 20, 1063, 8515, 1381, 1751, 1049, 8566, 1009, 16847, 25076, 1356, 8758, 1007, 1324, 2271, 4210, 1704, 5317, 7312, 1043, 17410, 1322, 1124, 10457, 13559, 7332, 1049, 4813, 1049, 29523, 1054, 14617, 1132, 5283, 1009, 15139, 23933, 1005, 4300, 28883, 30045, 1009, 12197, 2101, 1009, 1123, 7637, 13659, 1102, 1005, 1009, 27317, 1022, 1112, 1009, 20267, 2227, 1005, 18571, 8424, 2247, 1049, 8658, 1009, 26290, 1006, 6112, 7606, 1047, 1005, 1073, 1948, 3617, 4116, 2220, 2256, 3235, 16240, 6660, 1114, 4751, 4578, 1026, 9989, 7694, 9375, 3478, 6098, 1049, 3366, 1195, 1009, 1015, 2104, 4493, 1068, 17704, 1006, 22208, 1187, 15654, 1049, 4898, 1005, 5574, 1184, 10936, 1124, 10457, 1048, 13559, 1046, 1006, 7689, 1187, 18865, 1086, 2761, 5345, 2373, 25900, 10395, 2593, 1173, 1361, 1726, 6264, 1005, 1318, 3871, 1006, 23968, 1271, 14774, 1043, 1712, 4022, 1068, 1132, 6709, 1005, 1068, 4732, 1184, 30690, 1072, 3099, 4324, 1973, 1533, 8515, 1049, 8758, 1007, 75, 1054, 6825, 16847, 15475, 1225, 1026, 3489, 1009, 13971, 1754, 1006, 12460, 1060, 5110, 1005, 3177, 1006, 2410, 2585, 1043, 1006, 4455, 1187, 15654, 1054, 30571, 7441, 1005, 6842, 1068, 1026, 29221, 2247, 1060, 8083, 1009, 5118, 4838, 10010, 1005, 4726, 15766, 1, 3735, 1132, 10420, 11368, 1447, 2241, 1009, 2017, 3068, 15328, 2166, 1026, 2671, 1060, 5310, 6139, 2924, 4375, 1068, 22399, 1024, 1184, 3453, 1114, 5337, 3021, 29928, 1048, 1908, 1325, 7620, 1006, 12229, 1024, 1006, 2712, 1107, 1009, 7357, 25827, 16683, 1048, 27097, 1599, 1096, 1044, 22562, 1068, 1026, 8330, 1049, 5108, 1048, 8294, 1060, 5310, 1068, 3647, 1006, 18856, 1060, 2935, 9662, 11213, 1077, 18411, 1096, 1094, 6375, 2512, 1068, 1026, 19277, 4054, 2383, 1263, 2307, 1072, 3878, 4850, 1060, 3178, 1103, 2319, 3568, 1005, 1060, 5910, 1091, 14488, 1034, 1114, 3568, 9482, 7655, 1325, 6794, 1009, 1178, 1044, 2318, 1133, 1009, 28542, 1068, 12356, 1048, 3356, 17576, 1240, 7770, 4837, 1233, 1359, 30673, 1060, 3073, 22659, 7760, 13562, 1140, 1006, 31848, 22500, 1072, 2822, 1049, 3009, 1158, 5653, 1178, 7460, 1053, 5408, 1005, 1765, 1038, 14737, 1006, 17614, 1096, 1318, 1026, 2383, 6625, 1184, 21507, 1048, 1044, 23647, 2283, 5892, 1233, 2779, 5613, 6428, 1009, 1184, 6167, 7562, 1327, 1124, 1048, 2533, 1046, 1831, 20, 1084, 1049, 8976, 7134, 2784, 2340, 10621, 1068, 4883, 8738, 1009, 1944, 4716, 1005, 1009, 4885, 2161, 1821, 6434, 6788, 1420, 2246, 1026, 10511, 5554, 16833, 2374, 2246, 1026, 25594, 1009, 26997, 29514, 1094, 1751, 1712, 1187, 15383, 1072, 1498, 1102, 8482, 24911, 1048, 1026, 20366, 1745, 1188, 1114, 4633, 1160, 1195, 30639, 15, 2098, 1631, 1592, 20928, 1026, 3453, 1048, 1124, 1783, 15186, 1580, 16532, 23483, 1325, 1057, 3992, 2444, 17627, 2653, 1646, 1006, 5405, 1009, 10963, 2733, 1160, 1836, 2072, 6167, 1072, 1561, 4441, 8235, 2598, 9777, 1040, 1006, 11298, 23237, 6372, 626, 10677, 1049, 7674, 5960, 20, 1084, 1620, 2533, 1046, 25594, 1009, 26997, 3021, 1326, 4550, 2059, 1026, 3435, 1118, 9930, 6991, 7092, 1195, 1006, 17614, 3092, 1049, 1901, 15, 1005, 31761, 1213, 18586, 1009, 3049, 1009, 4152, 1704, 3225, 1096, 1712, 1049, 1048, 1026, 18586, 12791, 1048, 1299, 5662, 1072, 4051, 1164, 1009, 4984, 1009, 3049, 1009, 4210, 28024, 2564, 1048, 1096, 4230, 5822, 1024, 24819, 22275, 7742, 1213, 2729, 1049, 1901, 15, 8057, 5267, 1096, 1026, 1048, 21054, 1009, 3124, 1026, 1235, 6573, 3482, 3213, 15521, 2464, 1058, 1026, 15385, 1195, 10492, 1054, 7230, 2155, 1178, 4863, 1213, 2822, 1009, 3973, 1704, 7674, 5960, 21380, 1054, 6544, 1060, 1067, 6372, 7092, 1657, 1080, 16260, 1132, 8235, 1187, 26532, 7274, 3377, 57, 168, 1048, 1006, 1015, 1007, 12936, 2521, 1009, 2289, 1005, 1184, 1044, 2574, 1068, 4480, 1006, 17614, 1679, 1791, 23931, 3482, 168, 17614, 1054, 1162, 6148, 8140, 1299, 1114, 11719, 1049, 5370, 1049, 16970, 1599, 1213, 1592, 1557, 1054, 1048, 1006, 8976, 1494, 4607, 1060, 2042, 13981, 1665, 1094, 2486, 1563, 1009, 7178, 11816, 4929, 2533, 6058, 2328, 1060, 3245, 3465, 1112, 1009, 1244, 8554, 1124, 2120, 1029, 1312, 17776, 1060, 1015, 5304, 12936, 21691, 1833, 1616, 1160, 1837, 2671, 14036, 1048, 1376, 11242, 7297, 3232, 1962, 5525, 1026, 6680, 1060, 6068, 3517, 1, 2800, 7005, 1006, 12635, 1009, 2922, 5615, 1271, 8272, 37, 1711, 11185, 16265, 1713, 1797, 1140, 3271, 1225, 1224, 1871, 8828, 1009, 5115, 1058, 1057, 1014, 22647, 1511, 1325, 6718, 1118, 3473, 9120, 4578, 3371, 1235, 9381, 5838, 1224, 7391, 15, 13651, 6390, 11800, 2255, 1200, 30721, 1159, 1264, 15042, 1048, 1299, 1006, 1420, 32, 23719, 1322, 1026, 21354, 6968, 5193, 21618, 3748, 1124, 3638, 1049, 1531, 1006, 1531, 1159, 1058, 3192, 7211, 26567, 3900, 1817, 2268, 3048, 1927, 1264, 2155, 11146, 1048, 1299, 1006, 1420, 1060, 2921, 29382, 7804, 1329, 7773, 3822, 1428, 1096, 1026, 5762, 3615, 1054, 1752, 7507, 1009, 3629, 1224, 1005, 13341, 21573, 1428, 1096, 1006, 1853, 11589, 1068, 2280, 79, 4882, 1005, 7005, 1006, 12635, 3615, 1009, 2922, 1054, 1752, 4087, 9080, 1833, 2307, 1318, 7, 60, 2178, 6098, 1049, 1633, 1127, 1060, 11185, 16265, 1713, 6977, 9888, 15, 7, 1, 11026, 4319, 1006, 12635, 1009, 2997, 1094, 1807, 10617, 1068, 1006, 6386, 1060, 6793, 1072, 23185, 1184, 1044, 29441, 1195, 12516, 1068, 6894, 1356, 7807, 26114, 1009, 14193, 1026, 1063, 1529, 1165, 1047, 1704, 1063, 1529, 1165, 1047, 4139, 1014, 1174, 82, 1146, 1104, 1236, 15, 1195, 12516, 1357, 2376, 4058, 71, 1054, 6747, 1068, 2490, 1072, 6220, 1084, 1054, 2992, 1009, 4161, 3475, 1118, 1094, 6115, 15289, 1060, 1428, 3230, 2067, 1508, 2248, 3240, 1068, 1178, 25398, 1159, 16848, 1072, 22773, 20, 5926, 11887, 2122, 6115, 4345, 22093, 2307, 5721, 1006, 11221, 1009, 3721, 9419, 9305, 1005, 2452, 5783, 9610, 1010, 1048, 3093, 48, 5690, 57, 6613, 14864, 44, 13818, 1005, 1006, 1535, 1041, 1087, 18111, 1006, 16724, 1112, 1060, 4789, 1174, 82, 1146, 1104, 1236, 1356, 22773, 1704, 3093, 39, 2099, 1589, 39, 1529, 1165, 1047, 3765, 14097, 8548, 1006, 11221, 1009, 1664, 3230, 25461, 10199, 1184, 1322, 1989, 19084, 1026, 9464, 1009, 2490, 2129, 3335, 1054, 5426, 9814, 11785, 4323, 1898, 620, 5539, 11224, 1285, 4955, 4618, 1009, 1944, 2618, 1068, 6793, 27892, 1163, 2606, 64, 63, 20471, 4772, 23980, 27952, 7988, 14083, 2428, 5394, 132, 42, 30307, 1067, 26865, 24346, 50, 2393, 2428, 43, 1082, 145, 24936, 7309, 16549, 6793, 9622, 17896, 58, 3831, 6764, 8517, 2980, 4212, 3726, 7558, 2393, 3083, 23497, 2818, 7921, 59, 3831, 50, 9696, 3726, 27892, 1063, 59, 7231, 45, 8638, 116, 23704, 7338, 1123, 4436, 2053, 42, 2053, 1063, 10943, 3831, 44, 3726, 1062, 2393, 43, 12263, 2982, 6793, 1073, 21270, 2545, 6860, 6793, 3528, 29068, 1211, 10514, 1184, 13357, 1322, 1124, 16388, 1009, 2490, 1049, 1063, 1529, 1165, 4475, 1, 14571, 1226, 1809, 4358, 1206, 1641, 11454, 18, 1096, 1006, 1751, 1184, 5530, 1060, 28757, 1263, 1005, 1325, 13288, 5674, 3567, 2013, 1044, 5603, 7003, 1009, 13379, 1605, 1205, 9867, 1195, 1044, 7618, 1009, 3781, 1111, 75, 8280, 4366, 25423, 1371, 1890, 1006, 1224, 5099, 5977, 1615, 1006, 1782, 1009, 3383, 1009, 2182, 24, 2414, 1072, 8313, 1009, 28757, 1263, 20, 1424, 1467, 4671, 6140, 1048, 20063, 1006, 6317, 5530, 1009, 28757, 1263, 1460, 82, 1088, 1342, 1068, 2247, 1049, 10422, 6158, 14941, 6792, 89, 5106, 3933, 2653, 10155, 1005, 4268, 1006, 27980, 3028, 1090, 1140, 1009, 1044, 3872, 1531, 1054, 28757, 3511, 1094, 1271, 14991, 31294, 1516, 1026, 1009, 1224, 17903, 1523, 13909, 1147, 3690, 1451, 1069, 1463, 12965, 1009, 1044, 1187, 1759, 1089, 1048, 1160, 4540, 3754, 3192, 1048, 1566, 1160, 5553, 11684, 1054, 2073, 8553, 1009, 5099, 1206, 1160, 1058, 4172, 5470, 1072, 3266, 2788, 1715, 2605, 3711, 1605, 2696, 1009, 11953, 1009, 28757, 1263, 11214, 2453, 1049, 10721, 18088, 1031, 1603, 1377, 2013, 1094, 1807, 3513, 4659, 1005, 21021, 3473, 3616, 3057, 2696, 10948, 9791, 1357, 4930, 10388, 1412, 1010, 1043, 20740, 1005, 4290, 9653, 1010, 1009, 7510, 4434, 2144, 7, 2320, 1549, 5215, 5336, 4113, 22340, 4631, 7, 2995, 1631, 26512, 1047, 1114, 1641, 1009, 4735, 83, 171, 18, 1114, 27979, 1726, 12965, 1049, 4657, 1009, 22409, 3617, 1553, 1195, 27676, 1068, 1178, 1044, 5603, 12632, 1185, 2682, 5, 142, 1042, 6410, 1029, 9907, 2915, 27391, 2144, 1096, 1044, 21429, 3099, 26247, 11073, 1054, 1044, 15185, 7538, 1009, 20864, 7260, 25473, 6888, 2271, 8931, 3218, 1205, 1444, 1040, 3195, 3670, 29935, 2237, 1962, 73, 6284, 2072, 4671, 1005, 3156, 1085, 3234, 1118, 2252, 1124, 7122, 28327, 1213, 5211, 20, 15444, 73, 1648, 1009, 1044, 1201, 1667, 1063, 3616, 3711, 1311, 2555, 3883, 19377, 1096, 1094, 8666, 1785, 1914, 1068, 5046, 1051, 1030, 8824, 1045, 72, 5221, 1048, 1096, 1006, 6500, 5046, 1009, 19709, 1333, 1005, 24949, 12502, 1114, 4556, 1294, 1176, 1383, 4418, 1988, 1009, 1764, 6916, 1005, 1026, 1004, 14886, 17910, 1160, 1225, 11456, 2598, 2637, 1009, 1764, 6916, 1005, 1026, 1004, 14886, 37, 2013, 1094, 13943, 1048, 1195, 6754, 1054, 6019, 1009, 1044, 21500, 3509, 1009, 8941, 1048, 8112, 1691, 1029, 1263, 5960, 1809, 2325, 1096, 1006, 1712, 6500, 1114, 1982, 1414, 2275, 1063, 1752, 1531, 2916, 1009, 7631, 1910, 1783, 9480, 1456, 20513, 2135, 2093, 88, 7709, 1005, 8880, 20, 25974, 4735, 7985, 10713, 1060, 7022, 21120, 1009, 28757, 1263, 1325, 1668, 17386, 7538, 9601, 20, 15369, 1054, 2073, 2143, 2269, 10030, 4125, 8589, 1619, 1467, 1641, 1096, 2201, 17995, 1005, 1026, 1557, 3300, 14252, 1603, 1299, 7464, 1009, 13576, 2307, 5544, 10066, 18, 3230, 18657, 1233, 6661, 1187, 14661, 1005, 1287, 10799, 2129, 1605, 6872, 1144, 14890, 1221, 1009, 28757, 1263, 1096, 1044, 11043, 1009, 2042, 1005, 18679, 1048, 4955, 16592, 1322, 1026, 18602, 1187, 1111, 1087, 1229, 1569, 30638, 1004, 1605, 26643, 1009, 28757, 1263, 1096, 1044, 1784, 19991, 1043, 1184, 1009, 2595, 6435, 675, 23171, 2350, 21527, 1118, 15107, 2271, 28757, 3511, 1511, 1006, 1028, 1367, 16087, 6661, 1096, 13373, 1024, 5336, 1006, 1853, 1048, 1503, 1566, 3745, 1114, 2348, 8150, 29427, 1026, 7538, 1096, 12479, 1118, 1224, 1359, 13228, 5971, 71, 6174, 20740, 1184, 25028, 73, 3613, 1060, 13071, 1, 2494, 3907, 1009, 10995, 1044, 14549, 1206, 19142, 14617, 1006, 1944, 10417, 1096, 1026, 10430, 1048, 2177, 2492, 4457, 19605, 1043, 1026, 2285, 1009, 14805, 1229, 26101, 1124, 20561, 1233, 7975, 1005, 1318, 1006, 11276, 1048, 5544, 4531, 1224, 15489, 1620, 1184, 12307, 20, 18935, 1294, 3332, 2602, 1068, 17653, 1005, 2837, 6390, 1048, 1761, 1656, 1068, 1927, 1114, 4981, 12527, 1048, 1317, 1508, 7655, 1616, 1160, 3901, 1048, 1299, 3135, 8895, 1493, 1557, 1206, 3453, 1068, 1261, 1094, 7975, 12307, 1005 ]

[ 1009, 1871, 12308, 1068, 1006, 4447, 2648, 4678, 7512, 1533, 5253, 5898, 1006, 1178, 1026, 3099, 5548, 1463, 25525, 1187, 7471, 5055, 1166, 1054, 5449, 3267, 1479, 1043, 1799, 2525, 27, 1118, 13707, 1479, 1043, 1006, 4149, 2149, 2443, 18231, 1349, 4590, 2149, 2471, 13201, 1349, 6512, 2149, 2394, 23, 9395, 1005, 4573, 2149, 2081, 30, 9395, 1072, 7711, 1049, 13769, 3021, 1500, 1416, 1009, 7471, 17311, 23860, 3141, 1045, 6350, 1233, 13734, 1009, 7471, 17311, 1054, 8258, 1054, 9499, 1009, 4579, 1596, 3510, 1166, 2322, 7471, 1861, 2585, 3027, 17960, 1044, 24653, 1009, 18054, 22, 1118, 13707, 10764, 1006, 5580, 3681, 1049, 1901, 1009, 3209, 3915, 4732, 8436, 1075, 2585, 1294, 2256, 3952, 1009, 8936, 1006, 13734, 1009, 7471, 23860, 7217, 1094, 6841, 1009, 1675, 2534, 27, 1118, 13707, 10764, 5580, 3041, 1049, 1901, 11535, 13083, 21969, 7471, 3510, 1166, 1054, 4579, 13906, 3030, 1005, 9499, 1009, 4579, 1657, 1596, 3510, 1166, 7471, 23860, 1009, 9368, 6889, 3030, 1006, 9499, 1009, 4579, 1596, 17989, 1166, 20946, 28, 1118, 13707, 1187, 7471, 3510, 1166, 1054, 8258, 13083, 11528, 6048, 20, 1063, 4149, 1096, 1026, 3872, 5675, 9147, 7471, 17989, 1166, 5735, 15910, 13768, 3939, 29, 5900, 21534, 2523, 1043, 15292, 20299, 1112, 27697, 2555, 18738, 1009, 1543, 1763, 7591, 22138, 1054, 1807, 1054, 10586, 11666, 14906, 7121, 1549, 7265, 1112, 3008, 91, 1513, 8265, 1623, 31099, 1009, 24106, 1213, 1123, 17494, 24883, 1024, 5, 92, 1247, 1298, 16735, 1318, 4634, 1049, 2566, 4093, 5111, 1005, 16413, 2555, 14018, 7551, 4955, 1026, 2017, 13951, 4829, 4093, 5111, 1005, 16413, 1691, 30724, 18692, 1054, 3032, 1043, 3838, 6841, 1054, 9499, 4093, 5111, 1005, 16413, 1691, 30724, 1009, 23887, 5476, 1164, 2106, 7321, 1097, 4130, 1229, 22108, 1031, 2871, 1005, 16265, 1789, 1031, 2871, 9564, 12505, 23, 4925, 1054, 3032, 4093, 5111, 1005, 16413, 1691, 30724, 18692, 1054, 3032, 5898, 1054, 6841, 1576, 8303, 23910, 28165, 1094, 3484, 1797, 6198, 1024, 3484, 1605, 1235, 7137, 1009, 7793, 1160, 2177, 6342, 3482, 12756, 7115, 6927, 1324, 7793, 18, 2159, 13540, 1098, 9023, 1080, 6351, 3950, 1234, 2186, 1028, 4315, 4478, 1156, 1043, 3365, 1059, 295, 17015, 2530, 9701, 3576, 1045, 1097, 20489, 1722, 5909, 1222, 21448, 1691, 1706, 1045, 7706, 2540, 1178, 27395, 1294, 4620, 1605, 20230, 1239, 1009, 1134, 1625, 1018, 5977, 1007, 1094, 2360, 1516, 1043, 3848, 1009, 3032, 1009, 1128, 7613, 1422, 143, 26, 2555, 11374, 4613, 17942, 45, 1016, 1009, 7344, 1233, 17995, 8565, 1009, 1163, 8474, 1940, 24517, 1060, 6285, 2572, 13182, 1213, 31934, 1668, 2822, 4974, 3498, 1040, 1685, 1054, 8941, 1576, 1529, 22086, 1343, 22086, 1343, 1067, 1954, 3277, 1024, 3681, 8108, 6391, 9670, 9864, 6391, 2322, 30, 10658, 6391, 20799, 3030, 6391, 30230, 9724, 4579, 17246, 9195, 4579, 2224, 26, 9499, 4579, 2322, 23, 8814, 4579, 1158, 30, 9932, 4579, 2475, 25, 9350, 4579, 3067, 9647, 4579, 1158, 30, 8819, 4579, 2978, 30, 8108, 4579, 18977, 9864, 4579, 2475, 23, 10658, 4579, 26500, 3030, 4579, 2523, 26, 9724, 3209, 23129, 9195, 3209, 23658, 9499, 3209, 2971, 23, 8814, 3209, 3939, 30, 9932, 3209, 2128, 25, 9350, 3209, 3186, 27, 9647, 3209, 31434, 8819, 3209, 1782, 24, 8108, 3209, 1782, 29, 9864, 3209, 3186, 29, 10658, 3209, 1158, 25, 3030, 3209, 2226, 9724, 4229, 2523, 26, 9195, 4229, 3186, 26, 9499, 4229, 1307, 5515, 8814, 4229, 27784, 9932, 4229, 2128, 23, 9350, 4229, 3727, 25, 9647, 4229, 1307, 7157, 8819, 4229, 4110, 26, 8108, 4229, 2595, 25, 9864, 4229, 3734, 25, 10658, 4229, 14663, 3030, 4229, 8570, 9724, 4053, 25509, 9195, 4053, 2978, 26, 9499, 4053, 1307, 5003, 8814, 4053, 1307, 6991, 9932, 4053, 31176, 9350, 4053, 1307, 3876, 9647, 4053, 9216, 26, 8819, 4053, 1422, 5940, 8108, 4053, 1422, 4943, 9864, 4053, 1307, 3851, 10658, 4053, 3295, 29, 3030, 4053, 2226, 9724, 4161, 13019, 9195, 4161, 11774, 9499, 4161, 1307, 4829, 8814, 4161, 7631, 23, 9932, 4161, 31434, 9350, 4161, 1422, 5963, 9647, 4161, 1422, 3413, 8819, 4161, 1422, 6795, 8108, 4161, 1422, 8037, 9864, 4161, 1307, 5235, 10658, 4161, 1158, 27, 3030, 4161, 2226, 9724, 3973, 2523, 31, 9195, 3973, 1307, 3612, 9499, 3973, 4110, 30, 8814, 3973, 1422, 6418, 9932, 3973, 2978, 28, 9350, 3973, 9216, 26, 9647, 3973, 1487, 3430, 8819, 3973, 1487, 2337, 8108, 3973, 1422, 5988, 9864, 3973, 1307, 3430, 10658, 3973, 2226, 3030, 3973, 8139, 9724, 4210, 2224, 28, 9195, 4210, 2595, 25, 9499, 4210, 7631, 29, 8814, 4210, 1422, 6101, 9932, 4210, 3404, 26, 9350, 4210, 1307, 4943, 9647, 4210, 1422, 6795, 8819, 4210, 1422, 3949, 8108, 4210, 1422, 8121, 9864, 4210, 1307, 3413, 10658, 4210, 3067, 3030, 4210, 3310, 9724, 4152, 30078, 9195, 4152, 2971, 25, 9499, 4152, 1422, 1404, 8814, 4152, 1422, 5963, 9932, 4152, 1101, 2708, 9350, 4152, 2595, 25, 9647, 4152, 1422, 5205, 8819, 4152, 4110, 23, 8108, 4152, 1422, 6507, 9864, 4152, 1307, 3531, 10658, 4152, 2978, 28, 3030, 4152, 3404, 30, 9724, 4119, 31422, 9195, 4119, 31264, 9499, 4119, 1307, 8053, 8814, 4119, 7631, 28, 9932, 4119, 11774, 9350, 4119, 3939, 28, 9647, 4119, 9328, 23, 8819, 4119, 1307, 7795, 8108, 4119, 1307, 5871, 9864, 4119, 14760, 1, 9622, 45, 2606, 46, 2053, 25571, 5469, 11743, 2982, 1084, 1138, 11426, 125, 52, 3083, 2722, 1063, 2393, 2581, 124, 7270, 9761, 1084, 13767, 4517, 18862, 18, 1134, 2393, 3831, 14705, 29034, 2722, 1063, 7270, 3640, 10279, 4414, 135, 4233, 3083, 2722, 28961, 3071, 56, 140, 52, 3083, 2722, 9622, 45, 2606, 46, 29008, 2818, 11893, 124, 44, 7146, 53, 1084, 1142, 9696, 135, 4233, 9761, 22819, 9622, 45, 2606, 46, 29008, 2818, 5394, 44, 4071, 19, 9355, 56, 7270, 20424, 2818, 11893, 2805, 5763, 2713, 3710, 2536, 1106, 4517, 46, 2053, 4186, 9435, 24629, 42, 2870, 6125, 13561, 2321, 2053, 6793, 1082, 10279, 4414, 11756, 15, 6441, 47, 6767, 20906, 2995, 4517, 46, 2053, 4186, 9435, 24629, 42, 2870, 6125, 13561, 2321, 2053, 6793, 1082, 10279, 4414, 11756, 1605, 15361, 17577, 1069, 6881, 74, 27986, 4045, 21981, 1054, 15393, 1777, 1096, 1044, 4288, 4260, 1009, 2125, 1646, 11499, 1020, 1305, 22585, 1349, 12194, 1068, 9164, 4085, 1168, 2184, 1006, 6537, 3638, 6306, 1463, 3905, 1009, 10482, 9663, 15835, 1005, 1009, 10482, 1009, 20517, 20, 1138, 6752, 3967, 1945, 4792, 23879, 1068, 1006, 2236, 14421, 1009, 21719, 1294, 6543, 1271, 2373, 43, 25878, 13983, 1060, 15393, 1777, 626, 1054, 1048, 3775, 25964, 1360, 7543, 1118, 14299, 20, 11014, 2236, 14421, 1009, 21719, 1664, 1132, 6900, 14629, 1046, 1044, 1831, 8566, 1009, 2848, 1305, 22585, 10948, 1852, 1049, 5512, 14299, 1026, 10031, 7412, 16766, 1118, 1598, 8416, 15361, 17577, 6881, 74, 27986, 1054, 15393, 1777, 18, 1043, 17986, 1054, 10482, 9663, 15835, 1206, 17986, 1054, 10482, 1009, 20517, 20, 31869, 25964, 1305, 1223, 1615, 1250, 9377, 7543, 1068, 1006, 2236, 9663, 15835, 1005, 5251, 7543, 1068, 1006, 1009, 20517, 20, 1063, 4272, 1009, 5342, 1068, 1006, 17986, 23936, 1356, 10031, 2177, 2328, 1049, 1853, 7239, 1009, 25006, 31786, 1704, 10031, 1048, 16766, 1357, 17986, 9663, 15835, 2155, 14629, 1024, 1072, 5064, 1901, 21874, 1068, 4581, 6085, 9580, 5684, 1009, 5055, 2094, 8090, 1009, 28858, 3974, 1009, 4656, 7278, 28312, 5308, 27439, 5061, 2556, 10015, 5041, 13963, 1005, 5308, 27439, 4924, 1961, 2743, 22776, 11282, 6389, 1005, 26298, 18, 1365, 23757, 1063, 4169, 1357, 17986, 1009, 20517, 22110, 1072, 5064, 1901, 12439, 11195, 1463, 21874, 22246, 17524, 1187, 1638, 1229, 5034, 3023, 5972, 28082, 4606, 1568, 1035, 4991, 3784, 11204, 1009, 11082, 22261, 2743, 19849, 22838, 1005, 4008, 1009, 1050, 4065, 2743, 1005, 5980, 1009, 3501, 2565, 26890, 1005, 15142, 1520, 1229, 4240, 14836, 3156, 1229, 1365, 2089, 4441, 4085, 25251, 1072, 15361, 17577, 1069, 6881, 74, 27986, 1054, 15393, 1777, 9870, 6815, 1068, 11034, 1054, 2252, 1124, 3638, 6306, 1049, 3428, 11747, 1206, 1009, 15536, 1048, 10719, 1089, 1202, 26098, 21225, 2274, 3638, 1009, 6100, 1100, 23905, 18589, 30029, 3603, 1009, 15346, 5034, 27273, 1206, 30029, 8700, 6146, 6389, 18, 6440, 1048, 14629, 1412, 2252, 1124, 21874, 3023, 1347, 1060, 4581, 1009, 11204, 20, 6751, 1693, 4524, 1054, 2252, 1124, 3638, 6306, 1305, 18, 16708, 9507, 10906, 3155, 1068, 4571, 3890, 9192, 7854, 1009, 19875, 3343, 18025, 1071, 20761, 89, 1565, 1505, 1178, 1044, 10374, 1069, 1054, 4288, 4260, 1026, 1005, 5005, 4291, 14629, 1024, 8785, 13225, 18730, 7169, 6061, 1164, 7169, 1206, 4845, 1233, 10186, 7844, 1068, 15266, 1006, 4581, 1054, 1044, 1187, 6543, 1009, 11204, 10945, 1233, 17986, 14629, 1140, 1072, 25628, 1069, 18193, 1060, 1224, 6907, 7028, 2094, 1026, 4316, 1009, 8793, 13983, 1060, 15393, 1777, 1566, 30288, 4998, 1043, 4320, 15740, 1009, 3780, 1005, 7614, 20115, 1118, 7748, 1005, 31276, 21612, 2350, 11788, 15740, 15907, 20187, 32, 13468, 1054, 14830, 22090, 1005, 7520, 12815, 33, 1026, 3090, 1049, 2529, 1066, 22055, 33, 4455, 1463, 11688, 12178, 16519, 6854, 28294, 3474, 1420, 16519, 6854, 31992, 7394, 1560, 18, 1084, 15633, 11144, 4405, 1005, 1009, 3314, 169, 1916, 3423, 2668, 1096, 8744, 1026, 7301, 1009, 5673, 1128, 5009, 1230, 1005, 1325, 1847, 3023, 1196, 1094, 15611, 11197, 1068, 17049, 1132, 4988, 1009, 6286, 1009, 3171, 11195, 1049, 3428, 30358, 1009, 9928, 18, 5407, 1005, 4240, 27748, 1, 1063, 4300, 28883, 1832, 9165, 1114, 9050, 1009, 4034, 8778, 1020, 1048, 2728, 1046, 1026, 1184, 12929, 8167, 1009, 3450, 1009, 1834, 1072, 2011, 1059, 613, 5168, 1133, 77, 1819, 1006, 2926, 1187, 29962, 20564, 1026, 15118, 25662, 10712, 1005, 2952, 1005, 15186, 1435, 1005, 4513, 1157, 14508, 1005, 25167, 11821, 1, 10077, 1048, 1323, 14881, 1044, 1005, 1656, 1497, 23843, 3842, 11809, 1668, 3182, 1068, 4347, 1005, 12139, 1044, 21854, 1043, 2532, 1031, 2485, 1322, 1006, 5297, 1043, 1569, 3701, 6852, 1005, 9468, 1279, 1728, 8470, 1178, 1048, 2697, 75, 9485, 12049, 13445, 7509, 6204, 1356, 2444, 15133, 5294, 150, 1006, 2348, 7059, 3812, 6572, 82, 1660, 5, 1851, 1694, 4746, 1083, 1009, 3353, 1009, 4229, 1383, 30211, 3402, 3226, 60, 2148, 1096, 3292, 2530, 85, 12266, 1118, 26002, 22603, 1153, 1726, 15600, 3353, 1559, 2081, 4229, 1559, 5812, 2555, 3640, 22268, 1138, 29652, 9284, 16314, 1371, 1026, 1557, 1009, 5392, 2542, 1157, 3525, 4074, 1049, 1082, 1517, 18690, 1357, 22608, 1776, 8733, 20914, 1349, 1026, 24615, 3525, 1146, 1291, 10973, 4693, 1924, 15988, 1263, 1082, 1517, 18690, 11032, 1026, 2696, 3426, 1679, 23761, 2864, 1054, 24187, 1017, 1609, 1175, 4573, 2875, 11165, 1054, 15009, 26196, 2569, 1048, 5392, 1049, 1235, 1908, 1679, 3404, 2864, 1118, 3171, 2055, 5345, 5153, 1082, 1517, 1875, 1100, 25621, 27864, 2598, 1596, 1680, 2239, 24246, 2100, 7141, 1079, 1356, 14230, 1005, 2138, 2365, 1005, 1054, 10727, 1294, 1646, 26914, 4713, 12395, 5178, 9346, 1009, 1569, 5625, 1516, 1006, 7903, 11143, 1009, 1558, 1728, 9059, 4074, 2080, 1010, 8530, 6035, 6153, 2148, 1096, 3292, 2530, 85, 12266, 1118, 26002, 22603, 1153, 1726, 15600, 3353, 1559, 2081, 4229, 1559, 5812, 1797, 39, 2321, 6766, 13076, 10632, 2982, 20862, 21256, 1049, 7640, 6159, 4763, 8572, 10182, 1048, 8171, 4180, 1114, 4132, 5092, 1159, 1026, 28711, 1175, 3279, 11185, 9806, 1368, 4502, 1511, 1058, 7209, 1068, 8258, 1837, 2848, 1646, 1005, 7643, 1048, 1026, 2017, 1908, 1160, 2516, 2898, 2350, 2317, 4199, 13263, 1118, 2307, 4908, 3878, 1160, 1096, 8787, 1048, 1132, 3140, 26519, 1049, 4774, 4444, 7742, 1118, 1783, 4615, 5010, 5153, 5806, 18227, 1561, 1096, 1044, 1908, 2072, 10092, 1048, 1927, 1225, 4327, 1184, 10092, 1048, 1096, 15872, 1068, 13675, 1006, 10007, 626, 18204, 4537, 1054, 8258, 1026, 6159, 13708, 1048, 1261, 18635, 26519, 1160, 9251, 1493, 5239, 1118, 19219, 2373, 132, 10226, 1250, 1169, 14037, 1526, 14398, 4081, 1195, 10099, 10577, 1026, 19541, 1009, 13465, 1072, 25380, 1005, 3805, 1024, 1006, 4786, 1114, 7617, 1231, 1111, 3431, 18248, 1024, 1006, 1457, 1126, 18003, 1006, 5648, 1377, 7027, 1132, 7872, 20456, 2125, 3229, 1068, 11849, 1060, 10007, 8028, 1616, 1323, 1381, 21161, 1620, 1184, 1124, 23040, 626, 1467, 13976, 22531, 1318, 5443, 1196, 1006, 2869, 1043, 2330, 12282, 27123, 1224, 3897, 20, 2373, 3026, 12816, 1848, 1213, 18280, 1503, 4540, 1054, 1094, 7513, 1005, 1687, 2155, 1054, 20650, 1068, 1048, 4327, 10801, 1043, 1124, 3978, 17740, 6107, 26749, 18927, 2126, 32, 25563, 1112, 16851, 8937, 3576, 2148, 1096, 3292, 2530, 85, 12266, 1118, 26002, 22603, 1153, 1726, 15600, 3353, 1559, 2081, 4229, 1559, 5812, 1759, 4212, 1138, 10943, 2713, 7554, 2321, 6125, 54, 2982, 1467, 7419, 2421, 3165, 1072, 8733, 1233, 3696, 6323, 5207, 3229, 15, 1072, 18251, 2422, 16198, 6146, 14659, 1188, 11247, 1250, 1356, 23838, 85, 15467, 14395 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1871, 12308, 1068, 1006, 4447, 2648, 4678, 7512, 1533, 5253, 5898, 1006, 1178, 1026, 3099, 5548, 1463, 25525, 1187, 7471, 5055, 1166, 1054, 5449, 3267, 1479, 1043, 1799, 2525, 27, 1118, 13707, 1479, 1043, 1006, 4149, 2149, 2443, 18231, 1349, 4590, 2149, 2471, 13201, 1349, 6512, 2149, 2394, 23, 9395, 1005, 4573, 2149, 2081, 30, 9395, 1072, 7711, 1049, 13769, 3021, 1500, 1416, 1009, 7471, 17311, 23860, 3141, 1045, 6350, 1233, 13734, 1009, 7471, 17311, 1054, 8258, 1054, 9499, 1009, 4579, 1596, 3510, 1166, 2322, 7471, 1861, 2585, 3027, 17960, 1044, 24653, 1009, 18054, 22, 1118, 13707, 10764, 1006, 5580, 3681, 1049, 1901, 1009, 3209, 3915, 4732, 8436, 1075, 2585, 1294, 2256, 3952, 1009, 8936, 1006, 13734, 1009, 7471, 23860, 7217, 1094, 6841, 1009, 1675, 2534, 27, 1118, 13707, 10764, 5580, 3041, 1049, 1901, 11535, 13083, 21969, 7471, 3510, 1166, 1054, 4579, 13906, 3030, 1005, 9499, 1009, 4579, 1657, 1596, 3510, 1166, 7471, 23860, 1009, 9368, 6889, 3030, 1006, 9499, 1009, 4579, 1596, 17989, 1166, 20946, 28, 1118, 13707, 1187, 7471, 3510, 1166, 1054, 8258, 13083, 11528, 6048, 20, 1063, 4149, 1096, 1026, 3872, 5675, 9147, 7471, 17989, 1166, 5735, 15910, 13768, 3939, 29, 5900, 21534, 2523, 1043, 15292, 20299, 1112, 27697, 2555, 18738, 1009, 1543, 1763, 7591, 22138, 1054, 1807, 1054, 10586, 11666, 14906, 7121, 1549, 7265, 1112, 3008, 91, 1513, 8265, 1623, 31099, 1009, 24106, 1213, 1123, 17494, 24883, 1024, 5, 92, 1247, 1298, 16735, 1318, 4634, 1049, 2566, 4093, 5111, 1005, 16413, 2555, 14018, 7551, 4955, 1026, 2017, 13951, 4829, 4093, 5111, 1005, 16413, 1691, 30724, 18692, 1054, 3032, 1043, 3838, 6841, 1054, 9499, 4093, 5111, 1005, 16413, 1691, 30724, 1009, 23887, 5476, 1164, 2106, 7321, 1097, 4130, 1229, 22108, 1031, 2871, 1005, 16265, 1789, 1031, 2871, 9564, 12505, 23, 4925, 1054, 3032, 4093, 5111, 1005, 16413, 1691, 30724, 18692, 1054, 3032, 5898, 1054, 6841, 1576, 8303, 23910, 28165, 1094, 3484, 1797, 6198, 1024, 3484, 1605, 1235, 7137, 1009, 7793, 1160, 2177, 6342, 3482, 12756, 7115, 6927, 1324, 7793, 18, 2159, 13540, 1098, 9023, 1080, 6351, 3950, 1234, 2186, 1028, 4315, 4478, 1156, 1043, 3365, 1059, 295, 17015, 2530, 9701, 3576, 1045, 1097, 20489, 1722, 5909, 1222, 21448, 1691, 1706, 1045, 7706, 2540, 1178, 27395, 1294, 4620, 1605, 20230, 1239, 1009, 1134, 1625, 1018, 5977, 1007, 1094, 2360, 1516, 1043, 3848, 1009, 3032, 1009, 1128, 7613, 1422, 143, 26, 2555, 11374, 4613, 17942, 45, 1016, 1009, 7344, 1233, 17995, 8565, 1009, 1163, 8474, 1940, 24517, 1060, 6285, 2572, 13182, 1213, 31934, 1668, 2822, 4974, 3498, 1040, 1685, 1054, 8941, 1576, 1529, 22086, 1343, 22086, 1343, 1067, 1954, 3277, 1024, 3681, 8108, 6391, 9670, 9864, 6391, 2322, 30, 10658, 6391, 20799, 3030, 6391, 30230, 9724, 4579, 17246, 9195, 4579, 2224, 26, 9499, 4579, 2322, 23, 8814, 4579, 1158, 30, 9932, 4579, 2475, 25, 9350, 4579, 3067, 9647, 4579, 1158, 30, 8819, 4579, 2978, 30, 8108, 4579, 18977, 9864, 4579, 2475, 23, 10658, 4579, 26500, 3030, 4579, 2523, 26, 9724, 3209, 23129, 9195, 3209, 23658, 9499, 3209, 2971, 23, 8814, 3209, 3939, 30, 9932, 3209, 2128, 25, 9350, 3209, 3186, 27, 9647, 3209, 31434, 8819, 3209, 1782, 24, 8108, 3209, 1782, 29, 9864, 3209, 3186, 29, 10658, 3209, 1158, 25, 3030, 3209, 2226, 9724, 4229, 2523, 26, 9195, 4229, 3186, 26, 9499, 4229, 1307, 5515, 8814, 4229, 27784, 9932, 4229, 2128, 23, 9350, 4229, 3727, 25, 9647, 4229, 1307, 7157, 8819, 4229, 4110, 26, 8108, 4229, 2595, 25, 9864, 4229, 3734, 25, 10658, 4229, 14663, 3030, 4229, 8570, 9724, 4053, 25509, 9195, 4053, 2978, 26, 9499, 4053, 1307, 5003, 8814, 4053, 1307, 6991, 9932, 4053, 31176, 9350, 4053, 1307, 3876, 9647, 4053, 9216, 26, 8819, 4053, 1422, 5940, 8108, 4053, 1422, 4943, 9864, 4053, 1307, 3851, 10658, 4053, 3295, 29, 3030, 4053, 2226, 9724, 4161, 13019, 9195, 4161, 11774, 9499, 4161, 1307, 4829, 8814, 4161, 7631, 23, 9932, 4161, 31434, 9350, 4161, 1422, 5963, 9647, 4161, 1422, 3413, 8819, 4161, 1422, 6795, 8108, 4161, 1422, 8037, 9864, 4161, 1307, 5235, 10658, 4161, 1158, 27, 3030, 4161, 2226, 9724, 3973, 2523, 31, 9195, 3973, 1307, 3612, 9499, 3973, 4110, 30, 8814, 3973, 1422, 6418, 9932, 3973, 2978, 28, 9350, 3973, 9216, 26, 9647, 3973, 1487, 3430, 8819, 3973, 1487, 2337, 8108, 3973, 1422, 5988, 9864, 3973, 1307, 3430, 10658, 3973, 2226, 3030, 3973, 8139, 9724, 4210, 2224, 28, 9195, 4210, 2595, 25, 9499, 4210, 7631, 29, 8814, 4210, 1422, 6101, 9932, 4210, 3404, 26, 9350, 4210, 1307, 4943, 9647, 4210, 1422, 6795, 8819, 4210, 1422, 3949, 8108, 4210, 1422, 8121, 9864, 4210, 1307, 3413, 10658, 4210, 3067, 3030, 4210, 3310, 9724, 4152, 30078, 9195, 4152, 2971, 25, 9499, 4152, 1422, 1404, 8814, 4152, 1422, 5963, 9932, 4152, 1101, 2708, 9350, 4152, 2595, 25, 9647, 4152, 1422, 5205, 8819, 4152, 4110, 23, 8108, 4152, 1422, 6507, 9864, 4152, 1307, 3531, 10658, 4152, 2978, 28, 3030, 4152, 3404, 30, 9724, 4119, 31422, 9195, 4119, 31264, 9499, 4119, 1307, 8053, 8814, 4119, 7631, 28, 9932, 4119, 11774, 9350, 4119, 3939, 28, 9647, 4119, 9328, 23, 8819, 4119, 1307, 7795, 8108, 4119, 1307, 5871, 9864, 4119, 14760, 1, 9622, 45, 2606, 46, 2053, 25571, 5469, 11743, 2982, 1084, 1138, 11426, 125, 52, 3083, 2722, 1063, 2393, 2581, 124, 7270, 9761, 1084, 13767, 4517, 18862, 18, 1134, 2393, 3831, 14705, 29034, 2722, 1063, 7270, 3640, 10279, 4414, 135, 4233, 3083, 2722, 28961, 3071, 56, 140, 52, 3083, 2722, 9622, 45, 2606, 46, 29008, 2818, 11893, 124, 44, 7146, 53, 1084, 1142, 9696, 135, 4233, 9761, 22819, 9622, 45, 2606, 46, 29008, 2818, 5394, 44, 4071, 19, 9355, 56, 7270, 20424, 2818, 11893, 2805, 5763, 2713, 3710, 2536, 1106, 4517, 46, 2053, 4186, 9435, 24629, 42, 2870, 6125, 13561, 2321, 2053, 6793, 1082, 10279, 4414, 11756, 15, 6441, 47, 6767, 20906, 2995, 4517, 46, 2053, 4186, 9435, 24629, 42, 2870, 6125, 13561, 2321, 2053, 6793, 1082, 10279, 4414, 11756, 1605, 15361, 17577, 1069, 6881, 74, 27986, 4045, 21981, 1054, 15393, 1777, 1096, 1044, 4288, 4260, 1009, 2125, 1646, 11499, 1020, 1305, 22585, 1349, 12194, 1068, 9164, 4085, 1168, 2184, 1006, 6537, 3638, 6306, 1463, 3905, 1009, 10482, 9663, 15835, 1005, 1009, 10482, 1009, 20517, 20, 1138, 6752, 3967, 1945, 4792, 23879, 1068, 1006, 2236, 14421, 1009, 21719, 1294, 6543, 1271, 2373, 43, 25878, 13983, 1060, 15393, 1777, 626, 1054, 1048, 3775, 25964, 1360, 7543, 1118, 14299, 20, 11014, 2236, 14421, 1009, 21719, 1664, 1132, 6900, 14629, 1046, 1044, 1831, 8566, 1009, 2848, 1305, 22585, 10948, 1852, 1049, 5512, 14299, 1026, 10031, 7412, 16766, 1118, 1598, 8416, 15361, 17577, 6881, 74, 27986, 1054, 15393, 1777, 18, 1043, 17986, 1054, 10482, 9663, 15835, 1206, 17986, 1054, 10482, 1009, 20517, 20, 31869, 25964, 1305, 1223, 1615, 1250, 9377, 7543, 1068, 1006, 2236, 9663, 15835, 1005, 5251, 7543, 1068, 1006, 1009, 20517, 20, 1063, 4272, 1009, 5342, 1068, 1006, 17986, 23936, 1356, 10031, 2177, 2328, 1049, 1853, 7239, 1009, 25006, 31786, 1704, 10031, 1048, 16766, 1357, 17986, 9663, 15835, 2155, 14629, 1024, 1072, 5064, 1901, 21874, 1068, 4581, 6085, 9580, 5684, 1009, 5055, 2094, 8090, 1009, 28858, 3974, 1009, 4656, 7278, 28312, 5308, 27439, 5061, 2556, 10015, 5041, 13963, 1005, 5308, 27439, 4924, 1961, 2743, 22776, 11282, 6389, 1005, 26298, 18, 1365, 23757, 1063, 4169, 1357, 17986, 1009, 20517, 22110, 1072, 5064, 1901, 12439, 11195, 1463, 21874, 22246, 17524, 1187, 1638, 1229, 5034, 3023, 5972, 28082, 4606, 1568, 1035, 4991, 3784, 11204, 1009, 11082, 22261, 2743, 19849, 22838, 1005, 4008, 1009, 1050, 4065, 2743, 1005, 5980, 1009, 3501, 2565, 26890, 1005, 15142, 1520, 1229, 4240, 14836, 3156, 1229, 1365, 2089, 4441, 4085, 25251, 1072, 15361, 17577, 1069, 6881, 74, 27986, 1054, 15393, 1777, 9870, 6815, 1068, 11034, 1054, 2252, 1124, 3638, 6306, 1049, 3428, 11747, 1206, 1009, 15536, 1048, 10719, 1089, 1202, 26098, 21225, 2274, 3638, 1009, 6100, 1100, 23905, 18589, 30029, 3603, 1009, 15346, 5034, 27273, 1206, 30029, 8700, 6146, 6389, 18, 6440, 1048, 14629, 1412, 2252, 1124, 21874, 3023, 1347, 1060, 4581, 1009, 11204, 20, 6751, 1693, 4524, 1054, 2252, 1124, 3638, 6306, 1305, 18, 16708, 9507, 10906, 3155, 1068, 4571, 3890, 9192, 7854, 1009, 19875, 3343, 18025, 1071, 20761, 89, 1565, 1505, 1178, 1044, 10374, 1069, 1054, 4288, 4260, 1026, 1005, 5005, 4291, 14629, 1024, 8785, 13225, 18730, 7169, 6061, 1164, 7169, 1206, 4845, 1233, 10186, 7844, 1068, 15266, 1006, 4581, 1054, 1044, 1187, 6543, 1009, 11204, 10945, 1233, 17986, 14629, 1140, 1072, 25628, 1069, 18193, 1060, 1224, 6907, 7028, 2094, 1026, 4316, 1009, 8793, 13983, 1060, 15393, 1777, 1566, 30288, 4998, 1043, 4320, 15740, 1009, 3780, 1005, 7614, 20115, 1118, 7748, 1005, 31276, 21612, 2350, 11788, 15740, 15907, 20187, 32, 13468, 1054, 14830, 22090, 1005, 7520, 12815, 33, 1026, 3090, 1049, 2529, 1066, 22055, 33, 4455, 1463, 11688, 12178, 16519, 6854, 28294, 3474, 1420, 16519, 6854, 31992, 7394, 1560, 18, 1084, 15633, 11144, 4405, 1005, 1009, 3314, 169, 1916, 3423, 2668, 1096, 8744, 1026, 7301, 1009, 5673, 1128, 5009, 1230, 1005, 1325, 1847, 3023, 1196, 1094, 15611, 11197, 1068, 17049, 1132, 4988, 1009, 6286, 1009, 3171, 11195, 1049, 3428, 30358, 1009, 9928, 18, 5407, 1005, 4240, 27748, 1, 1063, 4300, 28883, 1832, 9165, 1114, 9050, 1009, 4034, 8778, 1020, 1048, 2728, 1046, 1026, 1184, 12929, 8167, 1009, 3450, 1009, 1834, 1072, 2011, 1059, 613, 5168, 1133, 77, 1819, 1006, 2926, 1187, 29962, 20564, 1026, 15118, 25662, 10712, 1005, 2952, 1005, 15186, 1435, 1005, 4513, 1157, 14508, 1005, 25167, 11821, 1, 10077, 1048, 1323, 14881, 1044, 1005, 1656, 1497, 23843, 3842, 11809, 1668, 3182, 1068, 4347, 1005, 12139, 1044, 21854, 1043, 2532, 1031, 2485, 1322, 1006, 5297, 1043, 1569, 3701, 6852, 1005, 9468, 1279, 1728, 8470, 1178, 1048, 2697, 75, 9485, 12049, 13445, 7509, 6204, 1356, 2444, 15133, 5294, 150, 1006, 2348, 7059, 3812, 6572, 82, 1660, 5, 1851, 1694, 4746, 1083, 1009, 3353, 1009, 4229, 1383, 30211, 3402, 3226, 60, 2148, 1096, 3292, 2530, 85, 12266, 1118, 26002, 22603, 1153, 1726, 15600, 3353, 1559, 2081, 4229, 1559, 5812, 2555, 3640, 22268, 1138, 29652, 9284, 16314, 1371, 1026, 1557, 1009, 5392, 2542, 1157, 3525, 4074, 1049, 1082, 1517, 18690, 1357, 22608, 1776, 8733, 20914, 1349, 1026, 24615, 3525, 1146, 1291, 10973, 4693, 1924, 15988, 1263, 1082, 1517, 18690, 11032, 1026, 2696, 3426, 1679, 23761, 2864, 1054, 24187, 1017, 1609, 1175, 4573, 2875, 11165, 1054, 15009, 26196, 2569, 1048, 5392, 1049, 1235, 1908, 1679, 3404, 2864, 1118, 3171, 2055, 5345, 5153, 1082, 1517, 1875, 1100, 25621, 27864, 2598, 1596, 1680, 2239, 24246, 2100, 7141, 1079, 1356, 14230, 1005, 2138, 2365, 1005, 1054, 10727, 1294, 1646, 26914, 4713, 12395, 5178, 9346, 1009, 1569, 5625, 1516, 1006, 7903, 11143, 1009, 1558, 1728, 9059, 4074, 2080, 1010, 8530, 6035, 6153, 2148, 1096, 3292, 2530, 85, 12266, 1118, 26002, 22603, 1153, 1726, 15600, 3353, 1559, 2081, 4229, 1559, 5812, 1797, 39, 2321, 6766, 13076, 10632, 2982, 20862, 21256, 1049, 7640, 6159, 4763, 8572, 10182, 1048, 8171, 4180, 1114, 4132, 5092, 1159, 1026, 28711, 1175, 3279, 11185, 9806, 1368, 4502, 1511, 1058, 7209, 1068, 8258, 1837, 2848, 1646, 1005, 7643, 1048, 1026, 2017, 1908, 1160, 2516, 2898, 2350, 2317, 4199, 13263, 1118, 2307, 4908, 3878, 1160, 1096, 8787, 1048, 1132, 3140, 26519, 1049, 4774, 4444, 7742, 1118, 1783, 4615, 5010, 5153, 5806, 18227, 1561, 1096, 1044, 1908, 2072, 10092, 1048, 1927, 1225, 4327, 1184, 10092, 1048, 1096, 15872, 1068, 13675, 1006, 10007, 626, 18204, 4537, 1054, 8258, 1026, 6159, 13708, 1048, 1261, 18635, 26519, 1160, 9251, 1493, 5239, 1118, 19219, 2373, 132, 10226, 1250, 1169, 14037, 1526, 14398, 4081, 1195, 10099, 10577, 1026, 19541, 1009, 13465, 1072, 25380, 1005, 3805, 1024, 1006, 4786, 1114, 7617, 1231, 1111, 3431, 18248, 1024, 1006, 1457, 1126, 18003, 1006, 5648, 1377, 7027, 1132, 7872, 20456, 2125, 3229, 1068, 11849, 1060, 10007, 8028, 1616, 1323, 1381, 21161, 1620, 1184, 1124, 23040, 626, 1467, 13976, 22531, 1318, 5443, 1196, 1006, 2869, 1043, 2330, 12282, 27123, 1224, 3897, 20, 2373, 3026, 12816, 1848, 1213, 18280, 1503, 4540, 1054, 1094, 7513, 1005, 1687, 2155, 1054, 20650, 1068, 1048, 4327, 10801, 1043, 1124, 3978, 17740, 6107, 26749, 18927, 2126, 32, 25563, 1112, 16851, 8937, 3576, 2148, 1096, 3292, 2530, 85, 12266, 1118, 26002, 22603, 1153, 1726, 15600, 3353, 1559, 2081, 4229, 1559, 5812, 1759, 4212, 1138, 10943, 2713, 7554, 2321, 6125, 54, 2982, 1467, 7419, 2421, 3165, 1072, 8733, 1233, 3696, 6323, 5207, 3229, 15, 1072, 18251, 2422, 16198, 6146, 14659, 1188, 11247, 1250, 1356, 23838, 85, 15467, 14395 ]

[ 2855, 23527, 1010, 8938, 1187, 1403, 1041, 6875, 1159, 28630, 1356, 6491, 1009, 13258, 10404, 1009, 3047, 12922, 1327, 20287, 1014, 3817, 4179, 28663, 20080, 2184, 14833, 1537, 30174, 1094, 1807, 10417, 10404, 13246, 1271, 6306, 1009, 17499, 1154, 4376, 25139, 2274, 3121, 1213, 4461, 1009, 26594, 1009, 1639, 13942, 1229, 14289, 1009, 13277, 1452, 1048, 5341, 1040, 1006, 3450, 1049, 14812, 1006, 5579, 1009, 20311, 1068, 1006, 7202, 1009, 18835, 1005, 15623, 5435, 1312, 1072, 15346, 4461, 1009, 5437, 2147, 1206, 14508, 30456, 1060, 2716, 5110, 1009, 14947, 1005, 13862, 6306, 21, 6596, 4743, 18, 1005, 1132, 5726, 1114, 2926, 1060, 2779, 24901, 1072, 1215, 1320, 1100, 9877, 1132, 2688, 1026, 9166, 2652, 2034, 3235, 1048, 9480, 1026, 17499, 1154, 4376, 3701, 1046, 1048, 2289, 5639, 1298, 1178, 26527, 1118, 2191, 1009, 10330, 1009, 3227, 1159, 1026, 2490, 1009, 3835, 1708, 21442, 1005, 28623, 1068, 6659, 1024, 1132, 1639, 16222, 1005, 4618, 1060, 3111, 1068, 1235, 1057, 175, 1135, 2309, 1315, 1872, 1009, 23164, 7542, 4028, 4850, 5856, 4047, 4650, 11810, 1054, 7462, 2643, 1058, 1006, 1462, 1036, 1599, 1006, 23282, 1096, 16137, 1005, 23020, 1371, 1048, 1006, 7140, 1679, 8938, 18177, 1049, 2685, 3084, 1253, 5319, 3893, 1006, 9327, 19394, 1159, 3435, 1060, 15209, 1112, 1187, 1315, 1872, 1048, 5435, 1046, 2237, 6686, 2275, 3423, 2668, 1124, 3235, 1009, 23164, 1268, 4755, 1054, 16235, 2688, 15623, 1327, 2111, 3273, 1005, 2739, 2624, 1837, 2776, 1259, 1112, 1009, 2266, 1322, 1132, 15991, 20373, 1049, 3202, 1118, 1751, 1009, 12685, 1005, 2823, 2765, 22119, 1046, 3263, 1060, 10413, 1238, 1005, 7108, 4395, 10129, 1009, 15785, 17157, 1187, 2138, 2365, 4356, 54, 11515, 1319, 20302, 1044, 6840, 1048, 4100, 1034, 1026, 17499, 1154, 4376, 25139, 1221, 1043, 1006, 26594, 1009, 8918, 1072, 2497, 1009, 23139, 1104, 8905, 4986, 75, 13056, 1048, 3068, 10909, 1006, 4581, 1009, 19200, 2435, 6376, 6837, 11214, 1006, 1307, 8360, 1025, 1009, 4147, 2485, 2097, 1048, 1132, 1639, 16222, 1826, 1006, 2978, 26, 1025, 2286, 7905, 1006, 9705, 16622, 1009, 14623, 1009, 9242, 3888, 5469, 24903, 11515, 4979, 1048, 1160, 19171, 17065, 1009, 3819, 2535, 1009, 26594, 1009, 1639, 13942, 1554, 2858, 4545, 1049, 4632, 1009, 16987, 1060, 2828, 1049, 14676, 1054, 30668, 1049, 4942, 8628, 12593, 14377, 1060, 2828, 1049, 26140, 13180, 1006, 16552, 1060, 1144, 24903, 11945, 10662, 1072, 2822, 1009, 3977, 1195, 7468, 1069, 1118, 8209, 1009, 9200, 1213, 3572, 8416, 1048, 1026, 4868, 19352, 1068, 1094, 2451, 1009, 6056, 8673, 1890, 1006, 13956, 1005, 7922, 1049, 4545, 20, 4733, 18, 1026, 4868, 13898, 14972, 1060, 12048, 8000, 6840, 24850, 1054, 9647, 1009, 4127, 1357, 10562, 1009, 2191, 16664, 2926, 4345, 1005, 3227, 11289, 1049, 13740, 5559, 3022, 24997, 1048, 1043, 1026, 17499, 1154, 4376, 25139, 1221, 1096, 11724, 1094, 22775, 2489, 1009, 13277, 1452, 1068, 1006, 6654, 18, 26594, 1271, 8918, 19644, 1016, 9189, 1140, 1356, 6975, 1009, 4007, 1402, 1005, 7763, 1400, 6801, 1016, 1009, 28895, 1009, 17499, 1154, 4376, 1005, 16419, 1018, 1009, 8918, 7112, 13095, 1992, 1159, 1026, 2490, 1009, 1184, 1009, 12774, 3195, 18177, 1068, 21883, 1026, 9242, 3888, 2855, 12548, 6840, 18, 6342, 1054, 3973, 1357, 4422, 3275, 30125, 15418, 1054, 5966, 1043, 1026, 16546, 3448, 12342, 18, 24892, 1060, 4087, 1294, 2138, 6547, 4979, 1048, 17358, 1131, 1006, 3832, 12824, 1026, 17499, 1154, 4376, 25139, 1221, 1225, 17960, 1044, 1861, 1019, 1631, 1068, 3028, 3111, 3359, 5336, 3794, 8004, 16966, 1005, 2930, 8393, 2100, 7509, 1908, 4564, 1072, 1901, 1009, 4152, 1596, 6163, 2916, 1009, 1984, 6616, 1009, 4558, 1121, 1009, 3111, 1068, 1124, 6056, 1154, 17460, 4378, 3111, 26313, 1298, 1178, 29013, 2166, 2340, 6706, 2754, 15623, 22373, 1392, 1068, 1178, 22443, 1463, 2472, 4650, 2966, 13556, 5065, 1097, 6943, 1794, 20686, 1481, 1061, 1166, 1009, 10236, 20048, 2093, 29252, 1005, 1184, 30414, 1734, 15662, 1048, 1327, 4814, 3628, 17210, 1031, 7106, 1068, 1006, 2926, 17818, 2247, 1009, 2089, 1779, 12445, 15623, 6879, 1312, 1357, 2828, 1009, 1941, 25554, 7329, 24091, 13188, 1096, 6240, 5330, 14312, 1436, 7878, 1060, 27896, 4814, 1412, 1356, 2444, 3727, 22, 4278, 1009, 26594, 1009, 3111, 1356, 17499, 1154, 4376, 2271, 9861, 1005, 6178, 1668, 2285, 5759, 1657, 1094, 31789, 1049, 3225, 12782, 1094, 1472, 1009, 1184, 1009, 4004, 18242, 21724, 1160, 1596, 5365, 5010, 1138, 1807, 7423, 1009, 3111, 31294, 1357, 6056, 8673, 1118, 4384, 1592, 10902, 1026, 1111, 20528, 1009, 3111, 1068, 7357, 6819, 1658, 26594, 1049, 7108, 2309, 3195, 18177, 6163, 12814, 1054, 2916, 1009, 7819, 8259, 11, 1294, 4679, 2256, 2864, 1566, 1048, 1751, 1271, 8918, 22399, 1312, 1072, 1681, 4420, 85, 8089, 1233, 7202, 5917, 4640, 1140, 1009, 1094, 2700, 1009, 15623, 6623, 3589, 1048, 5437, 1046, 1005, 1058, 19387, 1046, 1072, 31910, 1187, 1315, 1872, 1206, 1160, 1327, 3043, 1312, 1159, 12201, 18, 9274, 1318, 8236, 1005, 13277, 1130, 1607, 1662, 1654, 1009, 3111, 2201, 26912, 1159, 13244, 1005, 25004, 30580, 19469, 71, 17360, 1009, 1048, 1006, 20104, 1049, 1238, 1096, 1044, 1681, 2099, 23202, 2512, 1049, 17499, 1154, 4376, 25139, 2274, 11430, 1371, 5058, 2765, 4910, 1312, 1009, 16395, 1009, 9458, 24347, 3947, 2093, 4906, 3821, 76, 1177, 1009, 16176, 25696, 4344, 94, 1188, 1009, 17413, 5555, 25696, 9524, 96, 14986, 12257, 91, 14986, 2725, 1061, 72, 12666, 14986, 2311, 1061, 14986, 1026, 96, 17385, 19200, 2435, 6376, 6837, 1005, 2089, 15623, 22373, 1392, 1463, 18179, 1009, 1315, 1872, 1009, 3935, 2762, 18892, 1356, 15548, 8287, 5435, 1599, 5061, 1009, 1169, 1038, 19127, 1005, 29766, 1112, 1005, 1734, 3163, 1554, 10497, 18177, 1327, 10945, 1213, 4465, 1114, 21205, 15400, 5852, 1009, 1094, 2700, 1009, 7692, 15197, 1139, 1273, 8268, 90, 11596, 3300, 1575, 3589, 31799, 3589, 9821, 3214, 3589, 22131, 1016, 1005, 9802, 23463, 1365, 23757, 1776, 15252, 1049, 2497, 1009, 28399, 2975, 1118, 3018, 1571, 1837, 1807, 11669, 1009, 1315, 8554, 1094, 3780, 9923, 1048, 1026, 3225, 10038, 1009, 18761, 1009, 13277, 1452, 29318, 25035, 1187, 6824, 1009, 10574, 8496, 1034, 1233, 25141, 11724, 1118, 3114, 2744, 1009, 17311, 20, 31784, 1166, 2309, 1050, 10245, 3530, 13277, 1452, 1693, 13584, 5852, 1493, 23789, 1060, 2236, 1009, 14289, 20, 4685, 1096, 23630, 1026, 5802, 15574, 1322, 1006, 2926, 1060, 11899, 9124, 1072, 17499, 1154, 26722, 1048, 1096, 21530, 71, 1356, 9772, 1005, 1298, 7907, 10553, 1005, 3171, 8268, 17560, 5968, 1480, 18835, 7457, 1402, 1356, 2568, 1009, 17499, 1154, 4376, 1327, 18835, 1090, 4536, 1126, 18672, 1157, 1026, 2863, 1049, 16666, 4999, 3424, 7509, 13745, 1005, 3552, 10091, 1184, 3322, 1126, 7468, 5035, 1318, 1006, 10642, 1009, 1058, 5711, 1006, 6537, 3606, 1607, 6657, 1159, 1026, 17499, 1154, 26722, 1009, 8038, 1132, 22849, 21278, 2255, 1511, 1566, 1195, 10035, 4814, 1069, 1048, 1857, 1327, 1006, 1712, 3865, 1271, 5376, 17843, 21018, 1054, 22418, 1048, 1826, 30867, 4975, 2220, 1026, 1784, 1005, 2277, 1124, 3460, 22929, 3634, 1058, 4121, 3386, 1005, 4480, 1026, 10202, 1006, 1094, 6647, 9440, 7989, 10404, 1005, 2952, 1009, 31094, 2542, 1593, 88, 5078, 1392, 1058, 1006, 4263, 12617, 1130, 3057, 3439, 1005, 1160, 10927, 6154, 1026, 1235, 2550, 1009, 21301, 2935, 1005, 7357, 1068, 1044, 1048, 2374, 15744, 1005, 7914, 3894, 6777, 1377, 1138, 7478, 41, 6540, 1006, 1712, 8558, 1054, 16666, 27107, 4295, 15632, 1054, 1235, 3810, 6840, 1048, 1026, 7357, 1005, 1006, 26124, 5423, 1187, 22849, 24301, 4444, 3739, 4595, 1169, 19500, 12172, 1879, 73, 1606, 1112, 1009, 7450, 7177, 8358, 24592, 1060, 23164, 1009, 9242, 1009, 2311, 2575, 1096, 1026, 3910, 7239, 1009, 12015, 1009, 7450, 20, 4378, 18744, 2277, 3235, 1005, 1783, 24203, 1213, 17499, 1154, 4376, 25139, 2274, 1160, 1096, 3865, 1009, 3056, 18072, 6713, 9419, 1566, 1048, 1006, 1712, 1751, 1271, 1548, 2765, 1327, 8364, 1054, 3905, 2574, 3050, 1312, 1005, 1511, 1132, 1315, 1872, 18413, 1054, 29060, 4426, 1114, 7202, 1094, 21750, 5020, 1009, 8024, 2176, 20, 25367, 17071, 1273, 16708, 18543, 1026, 7462, 20, 1972, 1752, 28028, 6888, 23061, 1327, 2282, 1334, 2539, 1251, 1074, 1009, 3548, 1072, 1215, 1320, 1667, 9476, 5521, 3056, 3905, 1009, 6824, 1005, 13573, 2643, 2281, 25549, 1312, 1005, 3532, 6397, 1118, 10539, 1009, 6056, 1154, 2762, 3905, 1009, 18216, 1005, 31838, 1009, 4494, 5247, 9255, 1009, 11283, 1005, 5407, 1009, 1086, 7588, 15809, 1009, 28936, 8024, 1075, 6481, 4453, 1065, 13300, 22275, 1005, 2089, 9255, 9012, 1068, 1006, 3935, 2762, 5263, 1435, 16784, 12441, 7959, 1005, 27489, 1157, 10184, 1996, 1311, 1097, 2585, 7725, 5986, 1009, 2596, 18622, 1230, 1006, 26165, 1149, 5473, 24895, 3316, 3780, 26288, 1048, 1124, 9928, 89, 21803, 1068, 1026, 17499, 1154, 4376, 25139, 1221, 1566, 2261, 1412, 8016, 1006, 1675, 6101, 1910, 1251, 1074, 1009, 7450, 1005, 13573, 4564, 1294, 2138, 11110, 7509, 1908, 1006, 9273, 1271, 3905, 17155, 1312, 2739, 2624, 1325, 20051, 1159, 1094, 17688, 1294, 4615, 1229, 1309, 1114, 6386, 1687, 10486, 2624, 1096, 5197, 1070, 1140, 1005, 1132, 8016, 14833, 1058, 13243, 3045, 1452, 1658, 16606, 1060, 15643, 1009, 8716, 6733, 1132, 21268, 28931, 1318, 1233, 1005, 30673, 1005, 1233, 5943, 1009, 18062, 1777, 18, 19840, 1006, 1044, 18530, 1114, 24458, 1271, 6768, 1009, 3111, 1005, 1298, 7737, 6476, 1072, 8393, 2386, 5856, 5852, 20, 1063, 3548, 1005, 21453, 1236, 1298, 11186, 1847, 20536, 1068, 24772, 4007, 92, 10737, 28314, 1235, 1124, 1135, 1013, 7895, 3423, 2668, 1132, 27605, 7080, 1058, 13243, 9577, 7577, 1118, 1094, 2700, 1009, 18177, 6163, 1072, 23352, 1482, 2653, 4278, 1006, 3548, 1058, 29021, 1196, 1054, 9197, 13074, 1005, 1058, 6293, 2283, 12386, 1199, 1068, 2073, 2143, 2490, 1949, 13292, 16670, 4068, 2072, 17706, 1114, 12435, 5856, 5852, 1693, 23456, 1698, 1620, 8016, 9790, 1005, 1026, 16522, 1009, 10016, 3732, 3242, 1095, 1577, 1537, 2366, 4545, 1049, 4632, 1009, 10482, 1009, 17177, 1678, 1009, 7218, 4748, 11810, 1060, 20311, 1009, 9242, 2093, 1577, 1068, 1639, 16222, 1054, 2350, 27622, 10543, 1118, 14726, 1009, 10330, 14353, 20766, 1159, 2716, 3835, 1416, 1187, 1004, 3639, 1206, 2490, 1009, 28623, 1009, 6167, 21940, 11609, 1049, 7414, 1009, 4300, 9945, 1060, 2828, 1049, 24184, 1005, 1060, 2828, 1119, 20544, 1318, 21273, 1006, 26594, 1118, 2093, 1577, 25629, 1187, 5684, 1009, 2685, 3084, 8905, 1063, 26594, 1009, 1639, 16222, 1118, 2093, 1577, 1225, 5726, 7730, 1010, 1322, 1006, 3450, 1060, 10413, 1005, 1054, 4278, 5533, 1010, 1298, 7907, 10320, 14325, 13187, 1271, 4905, 6481, 8846, 2730, 6840, 1060, 2828, 14277, 11045, 1006, 1428, 8990, 1007, 1048, 1668, 3202, 11009, 1006, 11669, 1009, 18835, 1049, 5654, 1090, 4536, 1126, 2966, 4465, 1009, 15287, 11402, 1037, 2113, 1009, 4751, 1015, 1513, 23461, 29092, 1182, 1451, 1532, 1006, 24048, 1009, 3111, 1072, 1681, 4420, 85, 24330, 6970, 3498, 8647, 1229, 25007, 30104, 1068, 1178, 9819, 1166, 10868, 1118, 7818, 1107, 2051, 1009, 1760, 1627, 1309, 1726, 2624, 13230, 9887, 2559, 1263, 1074, 4029, 1048, 1693, 1178, 17549, 2691, 14164, 24895, 1505, 6236, 5680, 4203, 1327, 5130, 8003, 1068, 3524, 1044, 6083, 16824, 1005, 24244, 1060, 7614, 1060, 17499, 21505, 2858, 6840, 1049, 4037, 5546, 13708, 1048, 1026, 17499, 1154, 4376, 25139, 1221, 23070, 1493, 2033, 22672, 2261, 1348, 1009, 6941, 2559, 1263, 1074, 6958, 3646, 26, 1006, 4662, 25, 1114, 8323, 6899, 1363, 15, 6149, 1402, 1890, 7055, 1009, 2685, 3084, 1253, 1054, 8108, 1005, 8819, 1009, 15502, 11203, 2559, 1263, 1074, 1596, 17549, 1357, 2779, 12277, 14276, 1006, 5680, 22021, 1026, 4465, 1060, 4751, 1015, 1513, 23461, 11214, 1365, 1132, 5726, 1184, 10945, 1213, 17499, 1154, 4376, 25139, 1221, 1357, 7059, 4345, 1072, 4037, 5546, 20660, 1124, 6972, 13205, 9147, 2559, 1263, 1074, 4444, 1054, 2357, 9001, 1273, 7314, 1048, 1026, 8167, 1307, 1114, 8323, 6899, 11768, 1026, 8737, 3477, 7261, 1187, 2138, 2365, 9704, 1048, 1160, 4548, 26493, 1009, 1048, 2559, 1263, 1074, 4029, 1160, 6326, 2755, 5793, 1005, 1009, 3124, 1160, 1657, 1566, 14813, 1159, 2643, 1058, 17397, 1184, 3553, 8473, 1482, 4238, 14813, 3886, 1261, 1656, 6574, 1043, 18201, 4260, 1006, 1307, 1294, 6780, 1049, 24154, 3556, 1005, 4143, 5221, 2097, 1048, 1054, 3837, 14813, 1799, 3162, 1482, 4127, 14813, 2523, 26, 2559, 1263, 1074, 1114, 2921, 14577, 1044, 4465, 1009, 1675, 2624, 1054, 8198, 1679, 6299, 1049, 3009, 31651, 22968, 1261, 1656, 6574, 1054, 4127, 1054, 14227, 1042, 6319, 6424, 78, 1047, 1349, 2966, 1044, 1009, 18201, 6936, 16240, 6178, 8042, 1043, 1006, 24048, 1009, 3111, 1049, 2568, 1009, 2685, 3084, 4566, 1009, 2303, 1043, 1015, 8647, 12741, 1060, 2828, 13893, 2275, 1063, 2413, 1365, 1026, 3184, 1049, 26140, 29629, 1170, 12144, 27624, 1005, 26858, 4852, 30093, 1365, 4238, 1005, 4127, 1184, 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 ]

[ 2855, 23527, 1010, 8938, 1187, 1403, 1041, 6875, 1159, 28630, 1356, 6491, 1009, 13258, 10404, 1009, 3047, 12922, 1327, 20287, 1014, 3817, 4179, 28663, 20080, 2184, 14833, 1537, 30174, 1094, 1807, 10417, 10404, 13246, 1271, 6306, 1009, 17499, 1154, 4376, 25139, 2274, 3121, 1213, 4461, 1009, 26594, 1009, 1639, 13942, 1229, 14289, 1009, 13277, 1452, 1048, 5341, 1040, 1006, 3450, 1049, 14812, 1006, 5579, 1009, 20311, 1068, 1006, 7202, 1009, 18835, 1005, 15623, 5435, 1312, 1072, 15346, 4461, 1009, 5437, 2147, 1206, 14508, 30456, 1060, 2716, 5110, 1009, 14947, 1005, 13862, 6306, 21, 6596, 4743, 18, 1005, 1132, 5726, 1114, 2926, 1060, 2779, 24901, 1072, 1215, 1320, 1100, 9877, 1132, 2688, 1026, 9166, 2652, 2034, 3235, 1048, 9480, 1026, 17499, 1154, 4376, 3701, 1046, 1048, 2289, 5639, 1298, 1178, 26527, 1118, 2191, 1009, 10330, 1009, 3227, 1159, 1026, 2490, 1009, 3835, 1708, 21442, 1005, 28623, 1068, 6659, 1024, 1132, 1639, 16222, 1005, 4618, 1060, 3111, 1068, 1235, 1057, 175, 1135, 2309, 1315, 1872, 1009, 23164, 7542, 4028, 4850, 5856, 4047, 4650, 11810, 1054, 7462, 2643, 1058, 1006, 1462, 1036, 1599, 1006, 23282, 1096, 16137, 1005, 23020, 1371, 1048, 1006, 7140, 1679, 8938, 18177, 1049, 2685, 3084, 1253, 5319, 3893, 1006, 9327, 19394, 1159, 3435, 1060, 15209, 1112, 1187, 1315, 1872, 1048, 5435, 1046, 2237, 6686, 2275, 3423, 2668, 1124, 3235, 1009, 23164, 1268, 4755, 1054, 16235, 2688, 15623, 1327, 2111, 3273, 1005, 2739, 2624, 1837, 2776, 1259, 1112, 1009, 2266, 1322, 1132, 15991, 20373, 1049, 3202, 1118, 1751, 1009, 12685, 1005, 2823, 2765, 22119, 1046, 3263, 1060, 10413, 1238, 1005, 7108, 4395, 10129, 1009, 15785, 17157, 1187, 2138, 2365, 4356, 54, 11515, 1319, 20302, 1044, 6840, 1048, 4100, 1034, 1026, 17499, 1154, 4376, 25139, 1221, 1043, 1006, 26594, 1009, 8918, 1072, 2497, 1009, 23139, 1104, 8905, 4986, 75, 13056, 1048, 3068, 10909, 1006, 4581, 1009, 19200, 2435, 6376, 6837, 11214, 1006, 1307, 8360, 1025, 1009, 4147, 2485, 2097, 1048, 1132, 1639, 16222, 1826, 1006, 2978, 26, 1025, 2286, 7905, 1006, 9705, 16622, 1009, 14623, 1009, 9242, 3888, 5469, 24903, 11515, 4979, 1048, 1160, 19171, 17065, 1009, 3819, 2535, 1009, 26594, 1009, 1639, 13942, 1554, 2858, 4545, 1049, 4632, 1009, 16987, 1060, 2828, 1049, 14676, 1054, 30668, 1049, 4942, 8628, 12593, 14377, 1060, 2828, 1049, 26140, 13180, 1006, 16552, 1060, 1144, 24903, 11945, 10662, 1072, 2822, 1009, 3977, 1195, 7468, 1069, 1118, 8209, 1009, 9200, 1213, 3572, 8416, 1048, 1026, 4868, 19352, 1068, 1094, 2451, 1009, 6056, 8673, 1890, 1006, 13956, 1005, 7922, 1049, 4545, 20, 4733, 18, 1026, 4868, 13898, 14972, 1060, 12048, 8000, 6840, 24850, 1054, 9647, 1009, 4127, 1357, 10562, 1009, 2191, 16664, 2926, 4345, 1005, 3227, 11289, 1049, 13740, 5559, 3022, 24997, 1048, 1043, 1026, 17499, 1154, 4376, 25139, 1221, 1096, 11724, 1094, 22775, 2489, 1009, 13277, 1452, 1068, 1006, 6654, 18, 26594, 1271, 8918, 19644, 1016, 9189, 1140, 1356, 6975, 1009, 4007, 1402, 1005, 7763, 1400, 6801, 1016, 1009, 28895, 1009, 17499, 1154, 4376, 1005, 16419, 1018, 1009, 8918, 7112, 13095, 1992, 1159, 1026, 2490, 1009, 1184, 1009, 12774, 3195, 18177, 1068, 21883, 1026, 9242, 3888, 2855, 12548, 6840, 18, 6342, 1054, 3973, 1357, 4422, 3275, 30125, 15418, 1054, 5966, 1043, 1026, 16546, 3448, 12342, 18, 24892, 1060, 4087, 1294, 2138, 6547, 4979, 1048, 17358, 1131, 1006, 3832, 12824, 1026, 17499, 1154, 4376, 25139, 1221, 1225, 17960, 1044, 1861, 1019, 1631, 1068, 3028, 3111, 3359, 5336, 3794, 8004, 16966, 1005, 2930, 8393, 2100, 7509, 1908, 4564, 1072, 1901, 1009, 4152, 1596, 6163, 2916, 1009, 1984, 6616, 1009, 4558, 1121, 1009, 3111, 1068, 1124, 6056, 1154, 17460, 4378, 3111, 26313, 1298, 1178, 29013, 2166, 2340, 6706, 2754, 15623, 22373, 1392, 1068, 1178, 22443, 1463, 2472, 4650, 2966, 13556, 5065, 1097, 6943, 1794, 20686, 1481, 1061, 1166, 1009, 10236, 20048, 2093, 29252, 1005, 1184, 30414, 1734, 15662, 1048, 1327, 4814, 3628, 17210, 1031, 7106, 1068, 1006, 2926, 17818, 2247, 1009, 2089, 1779, 12445, 15623, 6879, 1312, 1357, 2828, 1009, 1941, 25554, 7329, 24091, 13188, 1096, 6240, 5330, 14312, 1436, 7878, 1060, 27896, 4814, 1412, 1356, 2444, 3727, 22, 4278, 1009, 26594, 1009, 3111, 1356, 17499, 1154, 4376, 2271, 9861, 1005, 6178, 1668, 2285, 5759, 1657, 1094, 31789, 1049, 3225, 12782, 1094, 1472, 1009, 1184, 1009, 4004, 18242, 21724, 1160, 1596, 5365, 5010, 1138, 1807, 7423, 1009, 3111, 31294, 1357, 6056, 8673, 1118, 4384, 1592, 10902, 1026, 1111, 20528, 1009, 3111, 1068, 7357, 6819, 1658, 26594, 1049, 7108, 2309, 3195, 18177, 6163, 12814, 1054, 2916, 1009, 7819, 8259, 11, 1294, 4679, 2256, 2864, 1566, 1048, 1751, 1271, 8918, 22399, 1312, 1072, 1681, 4420, 85, 8089, 1233, 7202, 5917, 4640, 1140, 1009, 1094, 2700, 1009, 15623, 6623, 3589, 1048, 5437, 1046, 1005, 1058, 19387, 1046, 1072, 31910, 1187, 1315, 1872, 1206, 1160, 1327, 3043, 1312, 1159, 12201, 18, 9274, 1318, 8236, 1005, 13277, 1130, 1607, 1662, 1654, 1009, 3111, 2201, 26912, 1159, 13244, 1005, 25004, 30580, 19469, 71, 17360, 1009, 1048, 1006, 20104, 1049, 1238, 1096, 1044, 1681, 2099, 23202, 2512, 1049, 17499, 1154, 4376, 25139, 2274, 11430, 1371, 5058, 2765, 4910, 1312, 1009, 16395, 1009, 9458, 24347, 3947, 2093, 4906, 3821, 76, 1177, 1009, 16176, 25696, 4344, 94, 1188, 1009, 17413, 5555, 25696, 9524, 96, 14986, 12257, 91, 14986, 2725, 1061, 72, 12666, 14986, 2311, 1061, 14986, 1026, 96, 17385, 19200, 2435, 6376, 6837, 1005, 2089, 15623, 22373, 1392, 1463, 18179, 1009, 1315, 1872, 1009, 3935, 2762, 18892, 1356, 15548, 8287, 5435, 1599, 5061, 1009, 1169, 1038, 19127, 1005, 29766, 1112, 1005, 1734, 3163, 1554, 10497, 18177, 1327, 10945, 1213, 4465, 1114, 21205, 15400, 5852, 1009, 1094, 2700, 1009, 7692, 15197, 1139, 1273, 8268, 90, 11596, 3300, 1575, 3589, 31799, 3589, 9821, 3214, 3589, 22131, 1016, 1005, 9802, 23463, 1365, 23757, 1776, 15252, 1049, 2497, 1009, 28399, 2975, 1118, 3018, 1571, 1837, 1807, 11669, 1009, 1315, 8554, 1094, 3780, 9923, 1048, 1026, 3225, 10038, 1009, 18761, 1009, 13277, 1452, 29318, 25035, 1187, 6824, 1009, 10574, 8496, 1034, 1233, 25141, 11724, 1118, 3114, 2744, 1009, 17311, 20, 31784, 1166, 2309, 1050, 10245, 3530, 13277, 1452, 1693, 13584, 5852, 1493, 23789, 1060, 2236, 1009, 14289, 20, 4685, 1096, 23630, 1026, 5802, 15574, 1322, 1006, 2926, 1060, 11899, 9124, 1072, 17499, 1154, 26722, 1048, 1096, 21530, 71, 1356, 9772, 1005, 1298, 7907, 10553, 1005, 3171, 8268, 17560, 5968, 1480, 18835, 7457, 1402, 1356, 2568, 1009, 17499, 1154, 4376, 1327, 18835, 1090, 4536, 1126, 18672, 1157, 1026, 2863, 1049, 16666, 4999, 3424, 7509, 13745, 1005, 3552, 10091, 1184, 3322, 1126, 7468, 5035, 1318, 1006, 10642, 1009, 1058, 5711, 1006, 6537, 3606, 1607, 6657, 1159, 1026, 17499, 1154, 26722, 1009, 8038, 1132, 22849, 21278, 2255, 1511, 1566, 1195, 10035, 4814, 1069, 1048, 1857, 1327, 1006, 1712, 3865, 1271, 5376, 17843, 21018, 1054, 22418, 1048, 1826, 30867, 4975, 2220, 1026, 1784, 1005, 2277, 1124, 3460, 22929, 3634, 1058, 4121, 3386, 1005, 4480, 1026, 10202, 1006, 1094, 6647, 9440, 7989, 10404, 1005, 2952, 1009, 31094, 2542, 1593, 88, 5078, 1392, 1058, 1006, 4263, 12617, 1130, 3057, 3439, 1005, 1160, 10927, 6154, 1026, 1235, 2550, 1009, 21301, 2935, 1005, 7357, 1068, 1044, 1048, 2374, 15744, 1005, 7914, 3894, 6777, 1377, 1138, 7478, 41, 6540, 1006, 1712, 8558, 1054, 16666, 27107, 4295, 15632, 1054, 1235, 3810, 6840, 1048, 1026, 7357, 1005, 1006, 26124, 5423, 1187, 22849, 24301, 4444, 3739, 4595, 1169, 19500, 12172, 1879, 73, 1606, 1112, 1009, 7450, 7177, 8358, 24592, 1060, 23164, 1009, 9242, 1009, 2311, 2575, 1096, 1026, 3910, 7239, 1009, 12015, 1009, 7450, 20, 4378, 18744, 2277, 3235, 1005, 1783, 24203, 1213, 17499, 1154, 4376, 25139, 2274, 1160, 1096, 3865, 1009, 3056, 18072, 6713, 9419, 1566, 1048, 1006, 1712, 1751, 1271, 1548, 2765, 1327, 8364, 1054, 3905, 2574, 3050, 1312, 1005, 1511, 1132, 1315, 1872, 18413, 1054, 29060, 4426, 1114, 7202, 1094, 21750, 5020, 1009, 8024, 2176, 20, 25367, 17071, 1273, 16708, 18543, 1026, 7462, 20, 1972, 1752, 28028, 6888, 23061, 1327, 2282, 1334, 2539, 1251, 1074, 1009, 3548, 1072, 1215, 1320, 1667, 9476, 5521, 3056, 3905, 1009, 6824, 1005, 13573, 2643, 2281, 25549, 1312, 1005, 3532, 6397, 1118, 10539, 1009, 6056, 1154, 2762, 3905, 1009, 18216, 1005, 31838, 1009, 4494, 5247, 9255, 1009, 11283, 1005, 5407, 1009, 1086, 7588, 15809, 1009, 28936, 8024, 1075, 6481, 4453, 1065, 13300, 22275, 1005, 2089, 9255, 9012, 1068, 1006, 3935, 2762, 5263, 1435, 16784, 12441, 7959, 1005, 27489, 1157, 10184, 1996, 1311, 1097, 2585, 7725, 5986, 1009, 2596, 18622, 1230, 1006, 26165, 1149, 5473, 24895, 3316, 3780, 26288, 1048, 1124, 9928, 89, 21803, 1068, 1026, 17499, 1154, 4376, 25139, 1221, 1566, 2261, 1412, 8016, 1006, 1675, 6101, 1910, 1251, 1074, 1009, 7450, 1005, 13573, 4564, 1294, 2138, 11110, 7509, 1908, 1006, 9273, 1271, 3905, 17155, 1312, 2739, 2624, 1325, 20051, 1159, 1094, 17688, 1294, 4615, 1229, 1309, 1114, 6386, 1687, 10486, 2624, 1096, 5197, 1070, 1140, 1005, 1132, 8016, 14833, 1058, 13243, 3045, 1452, 1658, 16606, 1060, 15643, 1009, 8716, 6733, 1132, 21268, 28931, 1318, 1233, 1005, 30673, 1005, 1233, 5943, 1009, 18062, 1777, 18, 19840, 1006, 1044, 18530, 1114, 24458, 1271, 6768, 1009, 3111, 1005, 1298, 7737, 6476, 1072, 8393, 2386, 5856, 5852, 20, 1063, 3548, 1005, 21453, 1236, 1298, 11186, 1847, 20536, 1068, 24772, 4007, 92, 10737, 28314, 1235, 1124, 1135, 1013, 7895, 3423, 2668, 1132, 27605, 7080, 1058, 13243, 9577, 7577, 1118, 1094, 2700, 1009, 18177, 6163, 1072, 23352, 1482, 2653, 4278, 1006, 3548, 1058, 29021, 1196, 1054, 9197, 13074, 1005, 1058, 6293, 2283, 12386, 1199, 1068, 2073, 2143, 2490, 1949, 13292, 16670, 4068, 2072, 17706, 1114, 12435, 5856, 5852, 1693, 23456, 1698, 1620, 8016, 9790, 1005, 1026, 16522, 1009, 10016, 3732, 3242, 1095, 1577, 1537, 2366, 4545, 1049, 4632, 1009, 10482, 1009, 17177, 1678, 1009, 7218, 4748, 11810, 1060, 20311, 1009, 9242, 2093, 1577, 1068, 1639, 16222, 1054, 2350, 27622, 10543, 1118, 14726, 1009, 10330, 14353, 20766, 1159, 2716, 3835, 1416, 1187, 1004, 3639, 1206, 2490, 1009, 28623, 1009, 6167, 21940, 11609, 1049, 7414, 1009, 4300, 9945, 1060, 2828, 1049, 24184, 1005, 1060, 2828, 1119, 20544, 1318, 21273, 1006, 26594, 1118, 2093, 1577, 25629, 1187, 5684, 1009, 2685, 3084, 8905, 1063, 26594, 1009, 1639, 16222, 1118, 2093, 1577, 1225, 5726, 7730, 1010, 1322, 1006, 3450, 1060, 10413, 1005, 1054, 4278, 5533, 1010, 1298, 7907, 10320, 14325, 13187, 1271, 4905, 6481, 8846, 2730, 6840, 1060, 2828, 14277, 11045, 1006, 1428, 8990, 1007, 1048, 1668, 3202, 11009, 1006, 11669, 1009, 18835, 1049, 5654, 1090, 4536, 1126, 2966, 4465, 1009, 15287, 11402, 1037, 2113, 1009, 4751, 1015, 1513, 23461, 29092, 1182, 1451, 1532, 1006, 24048, 1009, 3111, 1072, 1681, 4420, 85, 24330, 6970, 3498, 8647, 1229, 25007, 30104, 1068, 1178, 9819, 1166, 10868, 1118, 7818, 1107, 2051, 1009, 1760, 1627, 1309, 1726, 2624, 13230, 9887, 2559, 1263, 1074, 4029, 1048, 1693, 1178, 17549, 2691, 14164, 24895, 1505, 6236, 5680, 4203, 1327, 5130, 8003, 1068, 3524, 1044, 6083, 16824, 1005, 24244, 1060, 7614, 1060, 17499, 21505, 2858, 6840, 1049, 4037, 5546, 13708, 1048, 1026, 17499, 1154, 4376, 25139, 1221, 23070, 1493, 2033, 22672, 2261, 1348, 1009, 6941, 2559, 1263, 1074, 6958, 3646, 26, 1006, 4662, 25, 1114, 8323, 6899, 1363, 15, 6149, 1402, 1890, 7055, 1009, 2685, 3084, 1253, 1054, 8108, 1005, 8819, 1009, 15502, 11203, 2559, 1263, 1074, 1596, 17549, 1357, 2779, 12277, 14276, 1006, 5680, 22021, 1026, 4465, 1060, 4751, 1015, 1513, 23461, 11214, 1365, 1132, 5726, 1184, 10945, 1213, 17499, 1154, 4376, 25139, 1221, 1357, 7059, 4345, 1072, 4037, 5546, 20660, 1124, 6972, 13205, 9147, 2559, 1263, 1074, 4444, 1054, 2357, 9001, 1273, 7314, 1048, 1026, 8167, 1307, 1114, 8323, 6899, 11768, 1026, 8737, 3477, 7261, 1187, 2138, 2365, 9704, 1048, 1160, 4548, 26493, 1009, 1048, 2559, 1263, 1074, 4029, 1160, 6326, 2755, 5793, 1005, 1009, 3124, 1160, 1657, 1566, 14813, 1159, 2643, 1058, 17397, 1184, 3553, 8473, 1482, 4238, 14813, 3886, 1261, 1656, 6574, 1043, 18201, 4260, 1006, 1307, 1294, 6780, 1049, 24154, 3556, 1005, 4143, 5221, 2097, 1048, 1054, 3837, 14813, 1799, 3162, 1482, 4127, 14813, 2523, 26, 2559, 1263, 1074, 1114, 2921, 14577, 1044, 4465, 1009, 1675, 2624, 1054, 8198, 1679, 6299, 1049, 3009, 31651, 22968, 1261, 1656, 6574, 1054, 4127, 1054, 14227, 1042, 6319, 6424, 78, 1047, 1349, 2966, 1044, 1009, 18201, 6936, 16240, 6178, 8042, 1043, 1006, 24048, 1009, 3111, 1049, 2568, 1009, 2685, 3084, 4566, 1009, 2303, 1043, 1015, 8647, 12741, 1060, 2828, 13893, 2275, 1063, 2413, 1365, 1026, 3184, 1049, 26140, 29629, 1170, 12144, 27624, 1005, 26858, 4852, 30093, 1365, 4238, 1005, 4127, 1184, 1009 ]

[ 1625, 1014, 4564, 15, 2904, 91, 1034, 77, 14901, 26205, 1006, 23434, 2045, 24643, 1014, 1600, 3814, 2186, 7264, 1041, 30839, 14701, 2159, 1744, 1363, 1607, 95, 14533, 89, 1234, 13120, 10227, 2604, 2844, 2509, 2186, 1009, 5555, 4196, 95, 2711, 2325, 9539, 2186, 10004, 2722, 2186, 1013, 1058, 1040, 89, 2604, 6732, 1006, 21265, 1404, 4736, 29156, 10703, 2337, 15191, 26501, 2204, 1155, 3824, 1210, 95, 2578, 1173, 13120, 10227, 2604, 2844, 2509, 1915, 12129, 2711, 2325, 15191, 26501, 6732, 14068, 1171, 5067, 18731, 1030, 1932, 75, 2020, 1137, 14068, 7264, 1041, 1057, 22604, 29211, 2250, 1026, 16964, 5838, 3099, 1009, 18109, 14607, 15, 1225, 7325, 19606, 1273, 1005, 2088, 2250, 1026, 16964, 1096, 3822, 6962, 1377, 3204, 2446, 1009, 2612, 1195, 14453, 1188, 1068, 1132, 13935, 1048, 2643, 1094, 3513, 1009, 6545, 7663, 1005, 3328, 5393, 1483, 72, 150, 4350, 1680, 20318, 1322, 1026, 3099, 1059, 29209, 3951, 1449, 79, 8853, 1251, 1223, 2304, 3550, 4196, 1009, 2095, 1076, 1033, 14915, 1075, 1703, 3472, 4196, 6155, 1111, 1012, 2963, 50, 92, 1013, 1710, 3498, 79, 1124, 3645, 1060, 1922, 6155, 28006, 1237, 1006, 3498, 79, 5928, 6591, 30969, 1018, 1041, 1065, 3951, 4577, 1802, 10070, 2084, 8279, 2677, 3891, 21157, 1009, 2612, 28116, 1068, 10385, 1049, 6783, 1005, 1187, 2138, 11110, 1180, 14939, 1305, 2634, 2020, 1956, 1410, 1624, 1956, 19404, 24, 2020, 1956, 1410, 675, 1451, 1151, 2507, 1126, 1809, 17855, 2401, 1799, 2337, 23, 25159, 1084, 8254, 1488, 95, 2488, 1030, 23765, 2159, 4266, 30435, 2020, 10243, 21010, 89, 6239, 1373, 1010, 1171, 2186, 1013, 26501, 6732, 1072, 1030, 3123, 1916, 30375, 13935, 8436, 21771, 18044, 1043, 1094, 6973, 28756, 2636, 9235, 5786, 1553, 74, 1068, 6394, 1006, 5741, 1068, 3770, 19729, 4908, 2268, 2754, 8533, 13636, 1620, 1826, 1288, 10510, 1356, 1144, 16549, 1206, 1114, 4415, 1009, 13956, 1043, 1026, 17546, 2813, 6633, 1063, 9743, 1096, 1048, 1026, 17445, 1225, 1048, 4379, 1006, 8083, 1009, 3217, 8050, 1118, 1144, 12129, 11698, 2652, 13293, 13016, 10132, 30466, 1624, 1956, 19404, 1261, 1117, 72, 1088, 1063, 1694, 1006, 15874, 6867, 6572, 1527, 5577, 77, 3333, 1953, 75, 1057, 11804, 1253, 17445, 8751, 1063, 1694, 1006, 15874, 1742, 1014, 1549, 6004, 2077, 30354, 1046, 1080, 1032, 3755, 1123, 1606, 1034, 7610, 17861, 1009, 9430, 10943, 51, 2945, 91, 4235, 1009, 9774, 7674, 1277, 3998, 15874, 11944, 5960, 1565, 1138, 1720, 1064, 74, 1022, 85, 8593, 1686, 74, 1022, 85, 3904, 1060, 7565, 1064, 74, 1022, 85, 18109, 1005, 1560, 11884, 1413, 2077, 10990, 1022, 1100, 1175, 2041, 10701, 2525, 1175, 2041, 12599, 2081, 1175, 2394, 3990, 4568, 29843, 96, 3812, 1529, 1010, 1305, 1823, 1010, 1826, 5262, 1114, 3364, 1187, 1143, 75, 1774, 4015, 1122, 89, 2322, 3487, 1349, 1063, 10488, 1187, 22179, 1009, 11818, 1009, 1583, 2359, 89, 1072, 4618, 1009, 12610, 16340, 1009, 5702, 1121, 9993, 13339, 23924, 1060, 2869, 1365, 19958, 8043, 59, 1005, 1622, 1009, 10834, 1049, 1583, 2359, 20, 3782, 10863, 1679, 3764, 1894, 1048, 1044, 4249, 3012, 2593, 1058, 14140, 20, 16462, 1242, 1009, 5641, 1009, 3918, 32, 1044, 25426, 3132, 31408, 1048, 1124, 3918, 1009, 5641, 1542, 13399, 3918, 15494, 1225, 1006, 1125, 85, 2583, 5970, 1009, 10203, 1028, 5624, 9718, 13325, 4559, 1009, 1015, 21512, 1300, 1208, 1049, 1015, 21512, 1300, 1208, 1049, 1953, 1889, 1009, 1344, 1095, 2145, 18, 1015, 21512, 1300, 1208, 1049, 1953, 1889, 1049, 26022, 1056, 1049, 1953, 1095, 2145, 3590, 1069, 1668, 20005, 1026, 6137, 1049, 10132, 5393, 1020, 72, 150, 1094, 1751, 9900, 1712, 1294, 1080, 1320, 2223, 31654, 1348, 10293, 4816, 17756, 1009, 16220, 18998, 1138, 1048, 13293, 13016, 10132, 30466, 4337, 1322, 8238, 1009, 18773, 15042, 1217, 1020, 22317, 1054, 1224, 7633, 1776, 12631, 19567, 1006, 4734, 3068, 3922, 1325, 7605, 1497, 1006, 4872, 24841, 1424, 1124, 20573, 1006, 23118, 2034, 1053, 1220, 2034, 2125, 8533, 1009, 27357, 3314, 27248, 1054, 4272, 32, 13822, 2858, 20202, 1009, 6714, 1160, 1298, 21178, 1094, 2612, 1009, 9130, 18, 15047, 1118, 1098, 2094, 6588, 1048, 1094, 2612, 1009, 9130, 17656, 1006, 21178, 11492, 1857, 4343, 1068, 1006, 16831, 4372, 1006, 2323, 1009, 8184, 1054, 5615, 20, 1138, 3202, 31832, 1072, 6545, 1009, 4336, 20, 4116, 1663, 3005, 1857, 1826, 2282, 3958, 1224, 7140, 1006, 3056, 10791, 1394, 1463, 14872, 1009, 10584, 4355, 31408, 1072, 3284, 1005, 20564, 1026, 13609, 1060, 22343, 1048, 1096, 4458, 10791, 1526, 1005, 13018, 5421, 29598, 1134, 3095, 3851, 1080, 2144, 1593, 27884, 2186, 8511, 3185, 2559, 75, 1688, 2325, 2604, 1319, 1127, 1375, 3930, 1080, 2057, 1006, 1033, 1408, 96, 1718, 1007, 1088, 96, 24900, 1073, 10163, 13134, 2394, 1207, 6089, 88, 2789, 1423, 1971, 18, 1207, 51, 88, 2789, 1423, 1971, 1117, 86, 1005, 23992, 6158, 19060, 16286, 42, 16783, 19794, 1352, 2500, 9264, 4062, 9225, 6788, 1093, 1858, 1058, 23278, 1234, 74, 94, 1094, 19820, 1009, 31633, 25201, 1005, 1009, 1044, 29801, 1009, 24702, 1242, 1054, 1044, 1008, 1153, 81, 1151, 10460, 1009, 23361, 14212, 49, 23297, 1008, 1140, 3764, 1093, 1056, 1624, 1956, 19404, 1795, 93, 2077, 20, 4150, 18742, 3461, 1080, 2586, 1114, 2348, 4782, 1035, 2733, 19060, 16286, 42, 9831, 9464, 3702, 10132, 1096, 1322, 10584, 4271, 3086, 15, 1160, 1298, 5939, 1159, 1159, 1734, 5870, 13724, 2565, 1663, 1616, 2155, 19665, 3276, 3028, 5131, 1054, 1094, 9163, 12581, 1059, 3487, 31, 4483, 9958, 28, 6171, 1017, 21725, 23137, 20, 3782, 3901, 1048, 2088, 9559, 7958, 2643, 1184, 22275, 1054, 10584, 20609, 1049, 1048, 10584, 3267, 1054, 1235, 14583, 3225, 1533, 8432, 1020, 1126, 15808, 9561, 1766, 10420, 22590, 5421, 3259, 2837, 1027, 1094, 3593, 5741, 1068, 13421, 1094, 3593, 5741, 1009, 6714, 1005, 3524, 5818, 12900, 7027, 1132, 1734, 22317, 10067, 1015, 1255, 16923, 1134, 1483, 1171, 19, 13022, 19, 11961, 4593, 1013, 7364, 3046, 18910, 1043, 8186, 15, 1175, 5680, 1327, 1132, 1015, 1255, 16923, 1048, 1693, 5525, 1058, 1026, 3099, 1058, 4531, 8183, 1743, 1653, 7117, 1118, 3018, 1890, 13198, 1009, 4816, 22480, 1159, 1144, 1081, 6898, 5165, 19445, 5727, 18, 1431, 11065, 95, 3365, 1123, 8655, 20222, 1014, 21197, 1009, 2804, 8554, 31426, 1009, 1205, 1301, 11097, 10944, 1016, 1009, 1180, 5214, 4534, 1533, 10191, 1976, 1178, 16808, 3994, 1233, 15071, 1009, 8157, 31408, 13824, 1239, 6070, 11326, 1349, 675, 2145, 1088, 2787, 78, 16521, 4070, 78, 5537, 2077, 4070, 78, 15808, 2145, 1088, 2872, 1052, 15808, 1189, 1088, 11095, 17573, 6236, 1299, 11009, 1493, 1124, 12110, 1009, 1044, 6545, 1680, 10952, 4457, 31336, 2145, 1953, 1889, 10551, 1080, 2787, 1030, 1075, 1020, 1056, 3488, 2940, 1111, 1196, 78, 3078, 1032, 2077, 16486, 1420, 8668, 1138, 3453, 1249, 2139, 1048, 5554, 1006, 6690, 17890, 26872, 1098, 27050, 1006, 6841, 4458, 1005, 1132, 6022, 6132, 1040, 1068, 11853, 1371, 1680, 4109, 1009, 1456, 3328, 2504, 1554, 2786, 1941, 1051, 12363, 29992, 1416, 2786, 1941, 1051, 3741, 56, 13702, 28526, 2079, 1463, 96, 5831, 28062, 1410, 2020, 1038, 18720, 1034, 1114, 80, 1105, 1252, 19143, 9717, 96, 1953, 93, 1223, 79, 1151, 1223, 1176, 3304, 81, 1270, 28684, 1011, 96, 4077, 20709, 2020, 1024, 12109, 93, 1686, 4938, 27254, 20709, 18, 1030, 1956, 1118, 1953, 2903, 22285, 1025, 1185, 2903, 1953, 1081, 3522, 1035, 6145, 4384, 1151, 1171, 4938, 1434, 1114, 1686, 4938, 16553, 2963, 1798, 2456, 1056, 1379, 1015, 15962, 2628, 2146, 17855, 6155, 1098, 93, 1223, 7873, 95, 80, 9986, 1358, 3482, 12841, 24742, 6053, 1065, 57, 1208, 9302, 2322, 1063, 5411, 1009, 1073, 11489, 2404, 19018, 1424, 4242, 5957, 4358, 1044, 2311, 1014, 5526, 2684, 9708, 7646, 1060, 11962, 2166, 12530, 1054, 1235, 1543, 1042, 2586, 1124, 3469, 10369, 20116, 1439, 1511, 1235, 1288, 88, 5489, 1106, 3933, 3250, 1235, 3439, 1054, 1235, 7618, 20, 19774, 4677, 22446, 95, 1632, 30776, 1138, 19774, 4677, 22446, 95, 1632, 30776, 5631, 14288, 9190, 2012, 5421, 5616, 1365, 4384, 1005, 1160, 1717, 1026, 19277, 8367, 4441, 21690, 1693, 1475, 4882, 1068, 1734, 1048, 1058, 7017, 18, 1206, 1808, 4882, 1054, 1044, 9361, 1009, 21913, 1206, 2579, 11696, 1603, 1006, 9130, 3635, 1160, 1234, 6475, 1140, 1071, 1706, 1029, 1006, 1559, 1349, 1123, 45, 3665, 1779, 58, 48, 8228, 2144, 1134, 1842, 23137, 18, 1082, 1353, 8091, 7398, 6103, 16696, 1338, 1126, 1207, 1146, 3265, 5797, 26467, 1009, 11157, 14333, 8593, 1206, 2073, 2143, 10833, 13293, 13016, 10132, 30466, 1299, 1976, 8316, 18615, 1456, 7963, 1009, 2278, 4140, 3319, 1009, 3513, 1005, 22670, 1459, 1009, 4461, 20, 2605, 1068, 5115, 1616, 5735, 1070, 1013, 13016, 10132, 30466, 1472, 1048, 1044, 19935, 76, 1096, 3249, 1599, 1668, 6137, 15615, 1006, 1651, 1321, 1272, 1043, 13293, 13016, 10132, 30466, 2285, 1009, 1734, 8354, 1054, 3550, 11141, 2200, 3135, 9212, 1495, 1048, 1132, 9996, 2971, 49, 1327, 2282, 1334, 8519, 1307, 2250, 13479, 1565, 1063, 25772, 22925, 1096, 1094, 13325, 4559, 1009, 6171, 1348, 1242, 1005, 13325, 4559, 1009, 1062, 12273, 1009, 1205, 31025, 1043, 1006, 1424, 5273, 2498, 1134, 8455, 1074, 27357, 13938, 8687, 1005, 1096, 4798, 1060, 9585, 1134, 8455, 1074, 14116, 2904, 1029, 3085, 1069, 1357, 6517, 13293, 13016, 10132, 30466, 15383, 23686, 1009, 1234, 31408, 2451, 1118, 1456, 10138, 2604, 1076, 2255, 1026, 23428, 39, 1096, 11662, 1159, 1094, 19960, 1533, 2822, 1009, 3823, 6256, 1668, 3159, 13266, 1048, 1825, 2315, 8238, 1009, 14099, 1009, 9443, 2106, 1026, 13293, 13016, 10132, 30466, 1096, 1493, 1992, 10045, 21809, 1309, 1831, 5758, 1006, 5421, 79, 4882, 13827, 6087, 1188, 1118, 9941, 1041, 3418, 1142, 23537, 44, 24165, 27357, 25772, 22925, 2858, 5548, 8593, 3767, 5378, 1138, 1048, 1096, 8593, 8593, 1096, 1026, 3099, 1571, 2252, 1124, 14288, 16514, 6545, 20, 7804, 1503, 25654, 1009, 1484, 2005, 10132, 1005, 1808, 4882, 1868, 85, 3231, 1034, 5600, 1006, 2822, 1009, 5275, 5393, 1034, 1182, 150, 3450, 1187, 3326, 5454, 1118, 3653, 32, 1175, 5522, 1054, 16492, 5838, 5047, 1094, 10893, 15, 1175, 1178, 25008, 1343, 1071, 1367, 1459, 13390, 2987, 32, 1159, 2631, 4592, 2212, 14983, 13806, 4534, 4801, 1160, 5174, 1046, 1505, 1048, 15, 17594, 1048, 1160, 22602, 83, 3592, 17634, 2987, 1160, 1424, 1585, 2580, 1178, 13293, 13016, 10132, 22540, 14901, 1138, 2285, 1049, 7510, 1009, 6939, 1206, 1026, 2285, 1049, 24662, 60, 1160, 1596, 6251, 1402, 6565, 10435, 16996, 82, 1011, 1122, 1108, 1098, 93, 1223, 91, 2024, 2963, 1006, 81, 1410, 1314, 91, 2024, 22861, 13219, 1484, 96, 93, 1127, 25930, 1044, 1151, 5831, 1178, 93, 5895, 2752, 1362, 81, 1314, 2456, 2344, 1015, 2020, 1858, 2195, 1007, 22878, 1030, 20709, 21569, 20709, 18, 2020, 1953, 90, 2461, 1358, 2752, 1362, 81, 1314, 2456, 2344, 1015, 1178, 93, 5895, 1187, 1076, 93, 73, 93, 1008, 4938, 84, 1097, 3158, 1482, 3018, 6509, 30, 27502, 89, 18909, 1044, 17445, 1048, 8666, 1094, 3621, 9636, 1054, 1044, 1415, 1049, 17445, 1049, 5584, 3858, 29917, 1005, 1172, 1171, 77, 8905, 2494, 7443, 2539, 2472, 83, 1054, 1101, 1206, 1044, 14390, 1009, 3099, 22817, 1230, 29917, 3305, 1053, 1990, 1068, 3524, 18044, 1071, 2632, 1007, 1054, 1044, 3099, 1005, 2410, 10971, 1020, 1253, 1054, 2143, 3099, 1206, 1026, 7462, 1068, 14183, 1006, 9013, 1187, 7871, 1005, 18044, 1049, 3066, 3377, 2267, 13527, 1026, 17828, 1063, 93, 1018, 2576, 1766, 73, 1875, 4196, 11735, 7152, 1235, 9498, 1025, 90, 2567, 15201, 1157, 1026, 4818, 1060, 10295, 1049, 10132, 1060, 10295, 1049, 4635, 1007, 1060, 10295, 1060, 1249, 2104, 1049, 29703, 41, 1048, 9301, 1006, 10295, 1049, 6550, 1060, 10295, 3130, 2741, 1004, 1237, 1909, 2146, 1368, 1324, 5465, 1132, 3185, 75, 675, 3755, 11370, 13139, 1060, 1015, 1167, 1080, 3293, 14672, 5328, 1151, 1014, 1058, 6004, 1595, 2024, 81, 1176, 1034, 1026, 4208, 81, 1053, 6927, 1443, 1056, 80, 1549, 1543, 21983, 8293, 1075, 1350, 84, 80, 1040, 1190, 1139, 5216, 1064, 10688, 6056, 1104, 2918, 19, 1549, 3812, 1625, 11516, 2745, 1124, 2266, 1060, 2612, 28921, 1009, 12054, 1005, 21016, 6510, 1178, 2185, 7823, 1033, 1085, 1774, 1118, 1026, 1269, 20, 2649, 2482, 1409, 21136, 18792, 30216, 12384, 1022, 1052, 23877, 6568, 89, 13293, 13016, 10132, 30466, 26501, 19224, 2186, 26070, 4201, 1941, 1051, 2159, 1049, 2796, 5228, 1051, 23538, 1253, 2186, 23335, 6358, 3021, 15390, 1171, 44, 62, 1025, 15390, 1171, 76, 94, 1172, 3755, 1036, 19, 4822, 1131, 2132, 24165, 19, 11022, 1029, 19, 1889, 91, 11566, 1412, 3734, 1009, 3049, 1009, 4119, 1175, 7562, 1710, 5785, 1058, 72, 1165, 1214, 10132, 17445, 4603, 4070, 78, 26856, 1029, 2945, 91, 1172, 24080, 4861, 20705, 1395, 81, 17454, 2132, 24165, 19, 1058, 15920, 1024 ]

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

[ 1625, 1014, 4564, 15, 2904, 91, 1034, 77, 14901, 26205, 1006, 23434, 2045, 24643, 1014, 1600, 3814, 2186, 7264, 1041, 30839, 14701, 2159, 1744, 1363, 1607, 95, 14533, 89, 1234, 13120, 10227, 2604, 2844, 2509, 2186, 1009, 5555, 4196, 95, 2711, 2325, 9539, 2186, 10004, 2722, 2186, 1013, 1058, 1040, 89, 2604, 6732, 1006, 21265, 1404, 4736, 29156, 10703, 2337, 15191, 26501, 2204, 1155, 3824, 1210, 95, 2578, 1173, 13120, 10227, 2604, 2844, 2509, 1915, 12129, 2711, 2325, 15191, 26501, 6732, 14068, 1171, 5067, 18731, 1030, 1932, 75, 2020, 1137, 14068, 7264, 1041, 1057, 22604, 29211, 2250, 1026, 16964, 5838, 3099, 1009, 18109, 14607, 15, 1225, 7325, 19606, 1273, 1005, 2088, 2250, 1026, 16964, 1096, 3822, 6962, 1377, 3204, 2446, 1009, 2612, 1195, 14453, 1188, 1068, 1132, 13935, 1048, 2643, 1094, 3513, 1009, 6545, 7663, 1005, 3328, 5393, 1483, 72, 150, 4350, 1680, 20318, 1322, 1026, 3099, 1059, 29209, 3951, 1449, 79, 8853, 1251, 1223, 2304, 3550, 4196, 1009, 2095, 1076, 1033, 14915, 1075, 1703, 3472, 4196, 6155, 1111, 1012, 2963, 50, 92, 1013, 1710, 3498, 79, 1124, 3645, 1060, 1922, 6155, 28006, 1237, 1006, 3498, 79, 5928, 6591, 30969, 1018, 1041, 1065, 3951, 4577, 1802, 10070, 2084, 8279, 2677, 3891, 21157, 1009, 2612, 28116, 1068, 10385, 1049, 6783, 1005, 1187, 2138, 11110, 1180, 14939, 1305, 2634, 2020, 1956, 1410, 1624, 1956, 19404, 24, 2020, 1956, 1410, 675, 1451, 1151, 2507, 1126, 1809, 17855, 2401, 1799, 2337, 23, 25159, 1084, 8254, 1488, 95, 2488, 1030, 23765, 2159, 4266, 30435, 2020, 10243, 21010, 89, 6239, 1373, 1010, 1171, 2186, 1013, 26501, 6732, 1072, 1030, 3123, 1916, 30375, 13935, 8436, 21771, 18044, 1043, 1094, 6973, 28756, 2636, 9235, 5786, 1553, 74, 1068, 6394, 1006, 5741, 1068, 3770, 19729, 4908, 2268, 2754, 8533, 13636, 1620, 1826, 1288, 10510, 1356, 1144, 16549, 1206, 1114, 4415, 1009, 13956, 1043, 1026, 17546, 2813, 6633, 1063, 9743, 1096, 1048, 1026, 17445, 1225, 1048, 4379, 1006, 8083, 1009, 3217, 8050, 1118, 1144, 12129, 11698, 2652, 13293, 13016, 10132, 30466, 1624, 1956, 19404, 1261, 1117, 72, 1088, 1063, 1694, 1006, 15874, 6867, 6572, 1527, 5577, 77, 3333, 1953, 75, 1057, 11804, 1253, 17445, 8751, 1063, 1694, 1006, 15874, 1742, 1014, 1549, 6004, 2077, 30354, 1046, 1080, 1032, 3755, 1123, 1606, 1034, 7610, 17861, 1009, 9430, 10943, 51, 2945, 91, 4235, 1009, 9774, 7674, 1277, 3998, 15874, 11944, 5960, 1565, 1138, 1720, 1064, 74, 1022, 85, 8593, 1686, 74, 1022, 85, 3904, 1060, 7565, 1064, 74, 1022, 85, 18109, 1005, 1560, 11884, 1413, 2077, 10990, 1022, 1100, 1175, 2041, 10701, 2525, 1175, 2041, 12599, 2081, 1175, 2394, 3990, 4568, 29843, 96, 3812, 1529, 1010, 1305, 1823, 1010, 1826, 5262, 1114, 3364, 1187, 1143, 75, 1774, 4015, 1122, 89, 2322, 3487, 1349, 1063, 10488, 1187, 22179, 1009, 11818, 1009, 1583, 2359, 89, 1072, 4618, 1009, 12610, 16340, 1009, 5702, 1121, 9993, 13339, 23924, 1060, 2869, 1365, 19958, 8043, 59, 1005, 1622, 1009, 10834, 1049, 1583, 2359, 20, 3782, 10863, 1679, 3764, 1894, 1048, 1044, 4249, 3012, 2593, 1058, 14140, 20, 16462, 1242, 1009, 5641, 1009, 3918, 32, 1044, 25426, 3132, 31408, 1048, 1124, 3918, 1009, 5641, 1542, 13399, 3918, 15494, 1225, 1006, 1125, 85, 2583, 5970, 1009, 10203, 1028, 5624, 9718, 13325, 4559, 1009, 1015, 21512, 1300, 1208, 1049, 1015, 21512, 1300, 1208, 1049, 1953, 1889, 1009, 1344, 1095, 2145, 18, 1015, 21512, 1300, 1208, 1049, 1953, 1889, 1049, 26022, 1056, 1049, 1953, 1095, 2145, 3590, 1069, 1668, 20005, 1026, 6137, 1049, 10132, 5393, 1020, 72, 150, 1094, 1751, 9900, 1712, 1294, 1080, 1320, 2223, 31654, 1348, 10293, 4816, 17756, 1009, 16220, 18998, 1138, 1048, 13293, 13016, 10132, 30466, 4337, 1322, 8238, 1009, 18773, 15042, 1217, 1020, 22317, 1054, 1224, 7633, 1776, 12631, 19567, 1006, 4734, 3068, 3922, 1325, 7605, 1497, 1006, 4872, 24841, 1424, 1124, 20573, 1006, 23118, 2034, 1053, 1220, 2034, 2125, 8533, 1009, 27357, 3314, 27248, 1054, 4272, 32, 13822, 2858, 20202, 1009, 6714, 1160, 1298, 21178, 1094, 2612, 1009, 9130, 18, 15047, 1118, 1098, 2094, 6588, 1048, 1094, 2612, 1009, 9130, 17656, 1006, 21178, 11492, 1857, 4343, 1068, 1006, 16831, 4372, 1006, 2323, 1009, 8184, 1054, 5615, 20, 1138, 3202, 31832, 1072, 6545, 1009, 4336, 20, 4116, 1663, 3005, 1857, 1826, 2282, 3958, 1224, 7140, 1006, 3056, 10791, 1394, 1463, 14872, 1009, 10584, 4355, 31408, 1072, 3284, 1005, 20564, 1026, 13609, 1060, 22343, 1048, 1096, 4458, 10791, 1526, 1005, 13018, 5421, 29598, 1134, 3095, 3851, 1080, 2144, 1593, 27884, 2186, 8511, 3185, 2559, 75, 1688, 2325, 2604, 1319, 1127, 1375, 3930, 1080, 2057, 1006, 1033, 1408, 96, 1718, 1007, 1088, 96, 24900, 1073, 10163, 13134, 2394, 1207, 6089, 88, 2789, 1423, 1971, 18, 1207, 51, 88, 2789, 1423, 1971, 1117, 86, 1005, 23992, 6158, 19060, 16286, 42, 16783, 19794, 1352, 2500, 9264, 4062, 9225, 6788, 1093, 1858, 1058, 23278, 1234, 74, 94, 1094, 19820, 1009, 31633, 25201, 1005, 1009, 1044, 29801, 1009, 24702, 1242, 1054, 1044, 1008, 1153, 81, 1151, 10460, 1009, 23361, 14212, 49, 23297, 1008, 1140, 3764, 1093, 1056, 1624, 1956, 19404, 1795, 93, 2077, 20, 4150, 18742, 3461, 1080, 2586, 1114, 2348, 4782, 1035, 2733, 19060, 16286, 42, 9831, 9464, 3702, 10132, 1096, 1322, 10584, 4271, 3086, 15, 1160, 1298, 5939, 1159, 1159, 1734, 5870, 13724, 2565, 1663, 1616, 2155, 19665, 3276, 3028, 5131, 1054, 1094, 9163, 12581, 1059, 3487, 31, 4483, 9958, 28, 6171, 1017, 21725, 23137, 20, 3782, 3901, 1048, 2088, 9559, 7958, 2643, 1184, 22275, 1054, 10584, 20609, 1049, 1048, 10584, 3267, 1054, 1235, 14583, 3225, 1533, 8432, 1020, 1126, 15808, 9561, 1766, 10420, 22590, 5421, 3259, 2837, 1027, 1094, 3593, 5741, 1068, 13421, 1094, 3593, 5741, 1009, 6714, 1005, 3524, 5818, 12900, 7027, 1132, 1734, 22317, 10067, 1015, 1255, 16923, 1134, 1483, 1171, 19, 13022, 19, 11961, 4593, 1013, 7364, 3046, 18910, 1043, 8186, 15, 1175, 5680, 1327, 1132, 1015, 1255, 16923, 1048, 1693, 5525, 1058, 1026, 3099, 1058, 4531, 8183, 1743, 1653, 7117, 1118, 3018, 1890, 13198, 1009, 4816, 22480, 1159, 1144, 1081, 6898, 5165, 19445, 5727, 18, 1431, 11065, 95, 3365, 1123, 8655, 20222, 1014, 21197, 1009, 2804, 8554, 31426, 1009, 1205, 1301, 11097, 10944, 1016, 1009, 1180, 5214, 4534, 1533, 10191, 1976, 1178, 16808, 3994, 1233, 15071, 1009, 8157, 31408, 13824, 1239, 6070, 11326, 1349, 675, 2145, 1088, 2787, 78, 16521, 4070, 78, 5537, 2077, 4070, 78, 15808, 2145, 1088, 2872, 1052, 15808, 1189, 1088, 11095, 17573, 6236, 1299, 11009, 1493, 1124, 12110, 1009, 1044, 6545, 1680, 10952, 4457, 31336, 2145, 1953, 1889, 10551, 1080, 2787, 1030, 1075, 1020, 1056, 3488, 2940, 1111, 1196, 78, 3078, 1032, 2077, 16486, 1420, 8668, 1138, 3453, 1249, 2139, 1048, 5554, 1006, 6690, 17890, 26872, 1098, 27050, 1006, 6841, 4458, 1005, 1132, 6022, 6132, 1040, 1068, 11853, 1371, 1680, 4109, 1009, 1456, 3328, 2504, 1554, 2786, 1941, 1051, 12363, 29992, 1416, 2786, 1941, 1051, 3741, 56, 13702, 28526, 2079, 1463, 96, 5831, 28062, 1410, 2020, 1038, 18720, 1034, 1114, 80, 1105, 1252, 19143, 9717, 96, 1953, 93, 1223, 79, 1151, 1223, 1176, 3304, 81, 1270, 28684, 1011, 96, 4077, 20709, 2020, 1024, 12109, 93, 1686, 4938, 27254, 20709, 18, 1030, 1956, 1118, 1953, 2903, 22285, 1025, 1185, 2903, 1953, 1081, 3522, 1035, 6145, 4384, 1151, 1171, 4938, 1434, 1114, 1686, 4938, 16553, 2963, 1798, 2456, 1056, 1379, 1015, 15962, 2628, 2146, 17855, 6155, 1098, 93, 1223, 7873, 95, 80, 9986, 1358, 3482, 12841, 24742, 6053, 1065, 57, 1208, 9302, 2322, 1063, 5411, 1009, 1073, 11489, 2404, 19018, 1424, 4242, 5957, 4358, 1044, 2311, 1014, 5526, 2684, 9708, 7646, 1060, 11962, 2166, 12530, 1054, 1235, 1543, 1042, 2586, 1124, 3469, 10369, 20116, 1439, 1511, 1235, 1288, 88, 5489, 1106, 3933, 3250, 1235, 3439, 1054, 1235, 7618, 20, 19774, 4677, 22446, 95, 1632, 30776, 1138, 19774, 4677, 22446, 95, 1632, 30776, 5631, 14288, 9190, 2012, 5421, 5616, 1365, 4384, 1005, 1160, 1717, 1026, 19277, 8367, 4441, 21690, 1693, 1475, 4882, 1068, 1734, 1048, 1058, 7017, 18, 1206, 1808, 4882, 1054, 1044, 9361, 1009, 21913, 1206, 2579, 11696, 1603, 1006, 9130, 3635, 1160, 1234, 6475, 1140, 1071, 1706, 1029, 1006, 1559, 1349, 1123, 45, 3665, 1779, 58, 48, 8228, 2144, 1134, 1842, 23137, 18, 1082, 1353, 8091, 7398, 6103, 16696, 1338, 1126, 1207, 1146, 3265, 5797, 26467, 1009, 11157, 14333, 8593, 1206, 2073, 2143, 10833, 13293, 13016, 10132, 30466, 1299, 1976, 8316, 18615, 1456, 7963, 1009, 2278, 4140, 3319, 1009, 3513, 1005, 22670, 1459, 1009, 4461, 20, 2605, 1068, 5115, 1616, 5735, 1070, 1013, 13016, 10132, 30466, 1472, 1048, 1044, 19935, 76, 1096, 3249, 1599, 1668, 6137, 15615, 1006, 1651, 1321, 1272, 1043, 13293, 13016, 10132, 30466, 2285, 1009, 1734, 8354, 1054, 3550, 11141, 2200, 3135, 9212, 1495, 1048, 1132, 9996, 2971, 49, 1327, 2282, 1334, 8519, 1307, 2250, 13479, 1565, 1063, 25772, 22925, 1096, 1094, 13325, 4559, 1009, 6171, 1348, 1242, 1005, 13325, 4559, 1009, 1062, 12273, 1009, 1205, 31025, 1043, 1006, 1424, 5273, 2498, 1134, 8455, 1074, 27357, 13938, 8687, 1005, 1096, 4798, 1060, 9585, 1134, 8455, 1074, 14116, 2904, 1029, 3085, 1069, 1357, 6517, 13293, 13016, 10132, 30466, 15383, 23686, 1009, 1234, 31408, 2451, 1118, 1456, 10138, 2604, 1076, 2255, 1026, 23428, 39, 1096, 11662, 1159, 1094, 19960, 1533, 2822, 1009, 3823, 6256, 1668, 3159, 13266, 1048, 1825, 2315, 8238, 1009, 14099, 1009, 9443, 2106, 1026, 13293, 13016, 10132, 30466, 1096, 1493, 1992, 10045, 21809, 1309, 1831, 5758, 1006, 5421, 79, 4882, 13827, 6087, 1188, 1118, 9941, 1041, 3418, 1142, 23537, 44, 24165, 27357, 25772, 22925, 2858, 5548, 8593, 3767, 5378, 1138, 1048, 1096, 8593, 8593, 1096, 1026, 3099, 1571, 2252, 1124, 14288, 16514, 6545, 20, 7804, 1503, 25654, 1009, 1484, 2005, 10132, 1005, 1808, 4882, 1868, 85, 3231, 1034, 5600, 1006, 2822, 1009, 5275, 5393, 1034, 1182, 150, 3450, 1187, 3326, 5454, 1118, 3653, 32, 1175, 5522, 1054, 16492, 5838, 5047, 1094, 10893, 15, 1175, 1178, 25008, 1343, 1071, 1367, 1459, 13390, 2987, 32, 1159, 2631, 4592, 2212, 14983, 13806, 4534, 4801, 1160, 5174, 1046, 1505, 1048, 15, 17594, 1048, 1160, 22602, 83, 3592, 17634, 2987, 1160, 1424, 1585, 2580, 1178, 13293, 13016, 10132, 22540, 14901, 1138, 2285, 1049, 7510, 1009, 6939, 1206, 1026, 2285, 1049, 24662, 60, 1160, 1596, 6251, 1402, 6565, 10435, 16996, 82, 1011, 1122, 1108, 1098, 93, 1223, 91, 2024, 2963, 1006, 81, 1410, 1314, 91, 2024, 22861, 13219, 1484, 96, 93, 1127, 25930, 1044, 1151, 5831, 1178, 93, 5895, 2752, 1362, 81, 1314, 2456, 2344, 1015, 2020, 1858, 2195, 1007, 22878, 1030, 20709, 21569, 20709, 18, 2020, 1953, 90, 2461, 1358, 2752, 1362, 81, 1314, 2456, 2344, 1015, 1178, 93, 5895, 1187, 1076, 93, 73, 93, 1008, 4938, 84, 1097, 3158, 1482, 3018, 6509, 30, 27502, 89, 18909, 1044, 17445, 1048, 8666, 1094, 3621, 9636, 1054, 1044, 1415, 1049, 17445, 1049, 5584, 3858, 29917, 1005, 1172, 1171, 77, 8905, 2494, 7443, 2539, 2472, 83, 1054, 1101, 1206, 1044, 14390, 1009, 3099, 22817, 1230, 29917, 3305, 1053, 1990, 1068, 3524, 18044, 1071, 2632, 1007, 1054, 1044, 3099, 1005, 2410, 10971, 1020, 1253, 1054, 2143, 3099, 1206, 1026, 7462, 1068, 14183, 1006, 9013, 1187, 7871, 1005, 18044, 1049, 3066, 3377, 2267, 13527, 1026, 17828, 1063, 93, 1018, 2576, 1766, 73, 1875, 4196, 11735, 7152, 1235, 9498, 1025, 90, 2567, 15201, 1157, 1026, 4818, 1060, 10295, 1049, 10132, 1060, 10295, 1049, 4635, 1007, 1060, 10295, 1060, 1249, 2104, 1049, 29703, 41, 1048, 9301, 1006, 10295, 1049, 6550, 1060, 10295, 3130, 2741, 1004, 1237, 1909, 2146, 1368, 1324, 5465, 1132, 3185, 75, 675, 3755, 11370, 13139, 1060, 1015, 1167, 1080, 3293, 14672, 5328, 1151, 1014, 1058, 6004, 1595, 2024, 81, 1176, 1034, 1026, 4208, 81, 1053, 6927, 1443, 1056, 80, 1549, 1543, 21983, 8293, 1075, 1350, 84, 80, 1040, 1190, 1139, 5216, 1064, 10688, 6056, 1104, 2918, 19, 1549, 3812, 1625, 11516, 2745, 1124, 2266, 1060, 2612, 28921, 1009, 12054, 1005, 21016, 6510, 1178, 2185, 7823, 1033, 1085, 1774, 1118, 1026, 1269, 20, 2649, 2482, 1409, 21136, 18792, 30216, 12384, 1022, 1052, 23877, 6568, 89, 13293, 13016, 10132, 30466, 26501, 19224, 2186, 26070, 4201, 1941, 1051, 2159, 1049, 2796, 5228, 1051, 23538, 1253, 2186, 23335, 6358, 3021, 15390, 1171, 44, 62, 1025, 15390, 1171, 76, 94, 1172, 3755, 1036, 19, 4822, 1131, 2132, 24165, 19, 11022, 1029, 19, 1889, 91, 11566, 1412, 3734, 1009, 3049, 1009, 4119, 1175, 7562, 1710, 5785, 1058, 72, 1165, 1214, 10132, 17445, 4603, 4070, 78, 26856, 1029, 2945, 91, 1172, 24080, 4861, 20705, 1395, 81, 17454, 2132, 24165, 19, 1058, 15920, 1024 ]

[ 28816, 1279, 1232, 1403, 2408, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 16793, 1107, 1623, 1106, 3789, 184, 22421, 3247, 91, 1655, 9554, 67, 13268, 675, 6684, 1093, 10240, 1232, 1403, 2408, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1307, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 5644, 9836, 14054, 89, 1655, 3459, 67, 1232, 675, 9685, 1434, 8585, 1056, 1655, 55, 67, 1232, 1675, 620, 2394, 1675, 620, 26, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 23051, 18381, 1021, 1655, 30432, 1232, 675, 1313, 2077, 1842, 22136, 91, 1655, 55, 67, 1232, 1675, 620, 2471, 1675, 21183, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 2494, 21877, 3767, 12224, 1655, 61, 41, 67, 1232, 675, 10810, 17805, 1358, 1021, 1458, 1232, 1675, 620, 2394, 1675, 620, 2471, 1675, 15234, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 10370, 1020, 5798, 1162, 2838, 1220, 1655, 1839, 67, 13268, 675, 8664, 12105, 13446, 12084, 7790, 1013, 23675, 1655, 9554, 67, 1232, 1403, 2408, 1433, 5340, 42, 1034, 1101, 20914, 1009, 3370, 1308, 4986, 5021, 1009, 5773, 5465, 7577, 1898, 22357, 8120, 32, 675, 4627, 1009, 1082, 1342, 1189, 1655, 3452, 4696, 22357, 7926, 32, 675, 10150, 10240, 1655, 28, 7113, 675, 1344, 11101, 15934, 1219, 1655, 3665, 7113, 675, 1387, 9836, 1123, 1020, 4138, 1655, 3989, 67, 1605, 29883, 1187, 3538, 2083, 5, 31840, 6092, 35, 27301, 30784, 7815, 35, 27148, 3498, 4797, 32, 4332, 11, 9538, 1502, 9618, 35, 26, 1152, 16265, 1007, 5960, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2034, 12084, 28414, 14090, 95, 16098, 1232, 675, 26975, 1982, 150, 21780, 9941, 20839, 1655, 9554, 67, 1232, 1675, 620, 2081, 2182, 620, 2525, 1675, 13820, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 17381, 17551, 4432, 1655, 28, 67, 1232, 675, 28104, 25952, 1024, 1468, 1232, 1675, 620, 2471, 8060, 620, 2525, 1307, 620, 2443, 1675, 620, 2084, 21705, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 1387, 1034, 5840, 16572, 31356, 22831, 2628, 1232, 675, 10150, 10240, 1655, 28, 67, 1232, 1307, 620, 2394, 2082, 9538, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1083, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 14819, 2079, 1167, 8303, 1655, 30432, 1232, 675, 1128, 2144, 1081, 1163, 3575, 5840, 1162, 1017, 1655, 55, 67, 1232, 1675, 620, 2394, 1675, 620, 2471, 1675, 13820, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 9768, 2059, 28769, 5209, 1655, 3413, 67, 1232, 675, 1144, 1342, 8805, 11376, 30113, 1232, 1675, 620, 2471, 1675, 29986, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 20567, 1061, 3777, 1167, 16424, 27599, 1232, 675, 8214, 5537, 3889, 1528, 1809, 1237, 2958, 1232, 1675, 620, 2471, 1675, 620, 2081, 1422, 620, 2443, 1779, 620, 9132, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 13309, 18709, 6380, 1333, 13268, 675, 1228, 1385, 23397, 1396, 1655, 2337, 67, 1232, 1675, 620, 2394, 1422, 620, 2443, 1307, 620, 2443, 1675, 620, 2081, 1307, 620, 2394, 18905, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1101, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 7378, 4477, 3297, 1655, 2708, 67, 1232, 675, 25914, 2673, 28816, 1279, 1232, 1779, 620, 28, 2471, 1675, 620, 2084, 1779, 620, 27, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 13470, 4568, 17864, 96, 1736, 1655, 31, 67, 1232, 675, 1106, 2816, 163, 90, 14783, 1013, 1232, 1675, 620, 2394, 1675, 620, 2471, 1675, 15234, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2343, 1066, 1163, 2363, 2958, 1655, 1404, 67, 1232, 675, 3167, 1018, 1609, 14078, 1655, 61, 41, 67, 1232, 1779, 620, 2400, 1675, 620, 26, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 11069, 12780, 5069, 13268, 675, 30539, 5218, 3575, 1655, 4059, 67, 1232, 1779, 620, 28, 2443, 18905, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 1387, 1127, 158, 14277, 1095, 13268, 675, 19323, 25256, 9609, 3247, 91, 1655, 27, 67, 1232, 1403, 2408, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1307, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 6684, 1093, 10240, 1232, 675, 16793, 1107, 1623, 1106, 3789, 184, 22421, 3247, 91, 1655, 9554, 67, 1232, 1779, 620, 2400, 1422, 620, 2443, 1675, 29986, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2529, 4544, 29885, 80, 189, 162, 17780, 150, 1655, 3502, 67, 1232, 675, 17651, 8058, 1093, 1081, 1232, 1675, 620, 2394, 1675, 21183, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 6318, 2462, 2905, 1066, 13268, 675, 1163, 1602, 1017, 14092, 1041, 6474, 1655, 3430, 67, 1232, 1403, 2408, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 25810, 1063, 2507, 1014, 20545, 1242, 89, 2341, 1655, 3487, 67, 13268, 675, 19528, 19460, 1232, 1403, 2408, 1433, 5340, 42, 1034, 1307, 17886, 1009, 3370, 1308, 4986, 5021, 1009, 5773, 5465, 7577, 1898, 22357, 8120, 32, 675, 21637, 1868, 1013, 27006, 1106, 1432, 71, 1655, 2830, 7113, 675, 2968, 1364, 11023, 1302, 1655, 2944, 7113, 675, 2034, 14611, 22902, 90, 21722, 1655, 1404, 7113, 675, 1228, 1385, 23397, 1396, 1655, 1404, 7113, 675, 3753, 3147, 4213, 1655, 3989, 4696, 22357, 7926, 32, 675, 23051, 18381, 1021, 1655, 26, 7113, 675, 19323, 25256, 9609, 3247, 91, 1655, 27, 7113, 675, 5045, 1521, 1106, 1447, 1031, 1655, 31, 7113, 675, 31131, 1073, 1259, 1814, 1655, 2708, 7113, 675, 2376, 3979, 1344, 1500, 12756, 1041, 1655, 3531, 7113, 675, 16888, 4191, 28990, 1655, 3876, 7113, 675, 1084, 81, 5188, 1342, 5799, 1035, 1589, 1655, 5784, 67, 1605, 29883, 1187, 3538, 2083, 31840, 6092, 35, 27301, 30784, 7815, 35, 27148, 3498, 4797, 32, 4332, 11, 9538, 1502, 9618, 35, 26, 1152, 16265, 1007, 5960, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1101, 0, 4415, 1232, 675, 2228, 1956, 21163, 14808, 1031, 16098, 1232, 675, 18050, 9646, 1232, 1675, 620, 2394, 1675, 620, 2394, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1594, 95, 1925, 6202, 1029, 1051, 4070, 27599, 1232, 675, 9685, 1434, 2695, 1326, 1014, 1655, 61, 41, 67, 1232, 1422, 620, 2443, 1675, 620, 2394, 1675, 29986, 6597, 22357, 8120, 1479, 1101, 0, 4415, 1232, 675, 22490, 30081, 1655, 61, 41, 67, 1232, 675, 9504, 9584, 1133, 1655, 55, 67, 1232, 1675, 620, 2394, 1422, 620, 2443, 1422, 620, 2443, 1675, 620, 2471, 1675, 21183, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1083, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2231, 1342, 1067, 92, 1041, 7831, 1655, 23723, 1232, 675, 1387, 9836, 7708, 1228, 13134, 92, 1662, 81, 1232, 1675, 620, 2394, 1101, 620, 2443, 1675, 29986, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 13309, 18709, 6380, 1333, 1232, 675, 1228, 1385, 23397, 1396, 1655, 2337, 67, 1232, 1675, 620, 2394, 1422, 620, 2443, 1307, 620, 2443, 1675, 620, 2081, 1844, 620, 29, 6597, 22357, 8120, 1479, 1101, 0, 4415, 1232, 675, 7378, 4477, 3297, 1655, 2708, 67, 1232, 675, 5059, 225, 1056, 2955, 80, 30113, 1232, 1675, 620, 2394, 1675, 620, 2394, 1675, 620, 26, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1138, 1269, 1180, 15041, 1189, 1655, 2337, 67, 1232, 675, 6684, 1093, 10240, 1232, 1779, 620, 2400, 1675, 15234, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1101, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 1387, 1127, 158, 14277, 1095, 1232, 675, 19323, 25256, 9609, 3247, 91, 1655, 27, 67, 1232, 1675, 620, 2084, 1675, 13820, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 30539, 5218, 3575, 1655, 4059, 67, 1232, 675, 11069, 12780, 5069, 1232, 17246, 620, 2525, 1779, 620, 2400, 1675, 620, 2084, 1779, 620, 27, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 25810, 1063, 2507, 1014, 20545, 1242, 89, 2341, 1655, 3487, 67, 1232, 675, 19528, 19460, 1232, 1675, 620, 2394, 1675, 620, 2394, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1156, 1665, 675, 220, 29494, 185, 1133, 81, 1655, 29, 67, 1232, 675, 17866, 2079, 92, 1081, 1301, 1589, 1232, 1675, 620, 2081, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 5644, 9836, 8629, 1590, 1108, 1232, 675, 23051, 18381, 1021, 1655, 30432, 1232, 1675, 620, 2084, 1675, 620, 26, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1307, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 4285, 26776, 5777, 10163, 5581, 1655, 29, 67, 1232, 675, 1924, 1188, 1073, 8933, 1232, 1675, 620, 2471, 1307, 620, 2443, 1675, 620, 2471, 1675, 15234, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 1163, 1602, 1017, 14092, 1041, 6474, 1655, 3430, 67, 1232, 675, 6318, 2462, 2905, 1066, 1232, 1307, 620, 2443, 1675, 620, 2394, 1675, 620, 2471, 1675, 620, 26, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 6760, 1420, 1180, 3119, 1056, 1232, 675, 5045, 1521, 1106, 1447, 1031, 1655, 31, 67, 1232, 1675, 620, 2394, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 6667, 17088, 166, 75, 1082, 4950, 1237, 2112, 1655, 2830, 67, 1232, 675, 11584, 4190, 24863, 1021, 3556, 28769, 81, 1137, 1167, 1655, 55, 67, 1232, 1675, 620, 2081, 1675, 620, 26, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1067, 1362, 2344, 12315, 1219, 1232, 675, 24309, 1434, 1063, 2807, 1655, 20797, 67, 1232, 1779, 620, 2400, 1675, 29986, 1433, 5340, 2503, 1034, 1422, 2149, 0, 1009, 3353, 1308, 4986, 5021, 1009, 5773, 5465, 7577, 1898, 22357, 8120, 32, 675, 7428, 160, 82, 4862, 2655, 89, 1655, 3612, 7113, 675, 1163, 1602, 1017, 14092, 1041, 6474, 1655, 3430, 4696, 22357, 7926, 32, 675, 2231, 1342 ]

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

[ 28816, 1279, 1232, 1403, 2408, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 16793, 1107, 1623, 1106, 3789, 184, 22421, 3247, 91, 1655, 9554, 67, 13268, 675, 6684, 1093, 10240, 1232, 1403, 2408, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1307, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 5644, 9836, 14054, 89, 1655, 3459, 67, 1232, 675, 9685, 1434, 8585, 1056, 1655, 55, 67, 1232, 1675, 620, 2394, 1675, 620, 26, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 23051, 18381, 1021, 1655, 30432, 1232, 675, 1313, 2077, 1842, 22136, 91, 1655, 55, 67, 1232, 1675, 620, 2471, 1675, 21183, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 2494, 21877, 3767, 12224, 1655, 61, 41, 67, 1232, 675, 10810, 17805, 1358, 1021, 1458, 1232, 1675, 620, 2394, 1675, 620, 2471, 1675, 15234, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 10370, 1020, 5798, 1162, 2838, 1220, 1655, 1839, 67, 13268, 675, 8664, 12105, 13446, 12084, 7790, 1013, 23675, 1655, 9554, 67, 1232, 1403, 2408, 1433, 5340, 42, 1034, 1101, 20914, 1009, 3370, 1308, 4986, 5021, 1009, 5773, 5465, 7577, 1898, 22357, 8120, 32, 675, 4627, 1009, 1082, 1342, 1189, 1655, 3452, 4696, 22357, 7926, 32, 675, 10150, 10240, 1655, 28, 7113, 675, 1344, 11101, 15934, 1219, 1655, 3665, 7113, 675, 1387, 9836, 1123, 1020, 4138, 1655, 3989, 67, 1605, 29883, 1187, 3538, 2083, 5, 31840, 6092, 35, 27301, 30784, 7815, 35, 27148, 3498, 4797, 32, 4332, 11, 9538, 1502, 9618, 35, 26, 1152, 16265, 1007, 5960, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2034, 12084, 28414, 14090, 95, 16098, 1232, 675, 26975, 1982, 150, 21780, 9941, 20839, 1655, 9554, 67, 1232, 1675, 620, 2081, 2182, 620, 2525, 1675, 13820, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 17381, 17551, 4432, 1655, 28, 67, 1232, 675, 28104, 25952, 1024, 1468, 1232, 1675, 620, 2471, 8060, 620, 2525, 1307, 620, 2443, 1675, 620, 2084, 21705, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 1387, 1034, 5840, 16572, 31356, 22831, 2628, 1232, 675, 10150, 10240, 1655, 28, 67, 1232, 1307, 620, 2394, 2082, 9538, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1083, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 14819, 2079, 1167, 8303, 1655, 30432, 1232, 675, 1128, 2144, 1081, 1163, 3575, 5840, 1162, 1017, 1655, 55, 67, 1232, 1675, 620, 2394, 1675, 620, 2471, 1675, 13820, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 9768, 2059, 28769, 5209, 1655, 3413, 67, 1232, 675, 1144, 1342, 8805, 11376, 30113, 1232, 1675, 620, 2471, 1675, 29986, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 20567, 1061, 3777, 1167, 16424, 27599, 1232, 675, 8214, 5537, 3889, 1528, 1809, 1237, 2958, 1232, 1675, 620, 2471, 1675, 620, 2081, 1422, 620, 2443, 1779, 620, 9132, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 13309, 18709, 6380, 1333, 13268, 675, 1228, 1385, 23397, 1396, 1655, 2337, 67, 1232, 1675, 620, 2394, 1422, 620, 2443, 1307, 620, 2443, 1675, 620, 2081, 1307, 620, 2394, 18905, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1101, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 7378, 4477, 3297, 1655, 2708, 67, 1232, 675, 25914, 2673, 28816, 1279, 1232, 1779, 620, 28, 2471, 1675, 620, 2084, 1779, 620, 27, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 13470, 4568, 17864, 96, 1736, 1655, 31, 67, 1232, 675, 1106, 2816, 163, 90, 14783, 1013, 1232, 1675, 620, 2394, 1675, 620, 2471, 1675, 15234, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2343, 1066, 1163, 2363, 2958, 1655, 1404, 67, 1232, 675, 3167, 1018, 1609, 14078, 1655, 61, 41, 67, 1232, 1779, 620, 2400, 1675, 620, 26, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 11069, 12780, 5069, 13268, 675, 30539, 5218, 3575, 1655, 4059, 67, 1232, 1779, 620, 28, 2443, 18905, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 1387, 1127, 158, 14277, 1095, 13268, 675, 19323, 25256, 9609, 3247, 91, 1655, 27, 67, 1232, 1403, 2408, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1307, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 6684, 1093, 10240, 1232, 675, 16793, 1107, 1623, 1106, 3789, 184, 22421, 3247, 91, 1655, 9554, 67, 1232, 1779, 620, 2400, 1422, 620, 2443, 1675, 29986, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2529, 4544, 29885, 80, 189, 162, 17780, 150, 1655, 3502, 67, 1232, 675, 17651, 8058, 1093, 1081, 1232, 1675, 620, 2394, 1675, 21183, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 6318, 2462, 2905, 1066, 13268, 675, 1163, 1602, 1017, 14092, 1041, 6474, 1655, 3430, 67, 1232, 1403, 2408, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 1502, 9618, 35, 24, 1152, 675, 675, 25810, 1063, 2507, 1014, 20545, 1242, 89, 2341, 1655, 3487, 67, 13268, 675, 19528, 19460, 1232, 1403, 2408, 1433, 5340, 42, 1034, 1307, 17886, 1009, 3370, 1308, 4986, 5021, 1009, 5773, 5465, 7577, 1898, 22357, 8120, 32, 675, 21637, 1868, 1013, 27006, 1106, 1432, 71, 1655, 2830, 7113, 675, 2968, 1364, 11023, 1302, 1655, 2944, 7113, 675, 2034, 14611, 22902, 90, 21722, 1655, 1404, 7113, 675, 1228, 1385, 23397, 1396, 1655, 1404, 7113, 675, 3753, 3147, 4213, 1655, 3989, 4696, 22357, 7926, 32, 675, 23051, 18381, 1021, 1655, 26, 7113, 675, 19323, 25256, 9609, 3247, 91, 1655, 27, 7113, 675, 5045, 1521, 1106, 1447, 1031, 1655, 31, 7113, 675, 31131, 1073, 1259, 1814, 1655, 2708, 7113, 675, 2376, 3979, 1344, 1500, 12756, 1041, 1655, 3531, 7113, 675, 16888, 4191, 28990, 1655, 3876, 7113, 675, 1084, 81, 5188, 1342, 5799, 1035, 1589, 1655, 5784, 67, 1605, 29883, 1187, 3538, 2083, 31840, 6092, 35, 27301, 30784, 7815, 35, 27148, 3498, 4797, 32, 4332, 11, 9538, 1502, 9618, 35, 26, 1152, 16265, 1007, 5960, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1101, 0, 4415, 1232, 675, 2228, 1956, 21163, 14808, 1031, 16098, 1232, 675, 18050, 9646, 1232, 1675, 620, 2394, 1675, 620, 2394, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1594, 95, 1925, 6202, 1029, 1051, 4070, 27599, 1232, 675, 9685, 1434, 2695, 1326, 1014, 1655, 61, 41, 67, 1232, 1422, 620, 2443, 1675, 620, 2394, 1675, 29986, 6597, 22357, 8120, 1479, 1101, 0, 4415, 1232, 675, 22490, 30081, 1655, 61, 41, 67, 1232, 675, 9504, 9584, 1133, 1655, 55, 67, 1232, 1675, 620, 2394, 1422, 620, 2443, 1422, 620, 2443, 1675, 620, 2471, 1675, 21183, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1083, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 2231, 1342, 1067, 92, 1041, 7831, 1655, 23723, 1232, 675, 1387, 9836, 7708, 1228, 13134, 92, 1662, 81, 1232, 1675, 620, 2394, 1101, 620, 2443, 1675, 29986, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 13309, 18709, 6380, 1333, 1232, 675, 1228, 1385, 23397, 1396, 1655, 2337, 67, 1232, 1675, 620, 2394, 1422, 620, 2443, 1307, 620, 2443, 1675, 620, 2081, 1844, 620, 29, 6597, 22357, 8120, 1479, 1101, 0, 4415, 1232, 675, 7378, 4477, 3297, 1655, 2708, 67, 1232, 675, 5059, 225, 1056, 2955, 80, 30113, 1232, 1675, 620, 2394, 1675, 620, 2394, 1675, 620, 26, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1138, 1269, 1180, 15041, 1189, 1655, 2337, 67, 1232, 675, 6684, 1093, 10240, 1232, 1779, 620, 2400, 1675, 15234, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1101, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 1387, 1127, 158, 14277, 1095, 1232, 675, 19323, 25256, 9609, 3247, 91, 1655, 27, 67, 1232, 1675, 620, 2084, 1675, 13820, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 30539, 5218, 3575, 1655, 4059, 67, 1232, 675, 11069, 12780, 5069, 1232, 17246, 620, 2525, 1779, 620, 2400, 1675, 620, 2084, 1779, 620, 27, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 25810, 1063, 2507, 1014, 20545, 1242, 89, 2341, 1655, 3487, 67, 1232, 675, 19528, 19460, 1232, 1675, 620, 2394, 1675, 620, 2394, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1156, 1665, 675, 220, 29494, 185, 1133, 81, 1655, 29, 67, 1232, 675, 17866, 2079, 92, 1081, 1301, 1589, 1232, 1675, 620, 2081, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 5644, 9836, 8629, 1590, 1108, 1232, 675, 23051, 18381, 1021, 1655, 30432, 1232, 1675, 620, 2084, 1675, 620, 26, 30987, 1502, 9618, 35, 26, 1152, 16265, 1007, 1144, 0, 1307, 30987, 18214, 35, 24, 1404, 1152, 31102, 9538, 18214, 35, 3531, 22, 1152, 1205, 27392, 19229, 21, 14, 1018, 21, 1016, 1308, 7, 18214, 35, 3531, 22, 1152, 1119, 11398, 6523, 19229, 21, 14, 1010, 21, 1016, 1308, 7, 18214, 35, 24, 1404, 1152, 23992, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 4285, 26776, 5777, 10163, 5581, 1655, 29, 67, 1232, 675, 1924, 1188, 1073, 8933, 1232, 1675, 620, 2471, 1307, 620, 2443, 1675, 620, 2471, 1675, 15234, 6597, 22357, 8120, 1479, 1083, 0, 4415, 1232, 675, 1163, 1602, 1017, 14092, 1041, 6474, 1655, 3430, 67, 1232, 675, 6318, 2462, 2905, 1066, 1232, 1307, 620, 2443, 1675, 620, 2394, 1675, 620, 2471, 1675, 620, 26, 6597, 22357, 7926, 1479, 1083, 0, 4415, 1232, 675, 6760, 1420, 1180, 3119, 1056, 1232, 675, 5045, 1521, 1106, 1447, 1031, 1655, 31, 67, 1232, 1675, 620, 2394, 1675, 29986, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 6667, 17088, 166, 75, 1082, 4950, 1237, 2112, 1655, 2830, 67, 1232, 675, 11584, 4190, 24863, 1021, 3556, 28769, 81, 1137, 1167, 1655, 55, 67, 1232, 1675, 620, 2081, 1675, 620, 26, 6597, 22357, 7926, 1479, 1101, 0, 4415, 1232, 675, 1067, 1362, 2344, 12315, 1219, 1232, 675, 24309, 1434, 1063, 2807, 1655, 20797, 67, 1232, 1779, 620, 2400, 1675, 29986, 1433, 5340, 2503, 1034, 1422, 2149, 0, 1009, 3353, 1308, 4986, 5021, 1009, 5773, 5465, 7577, 1898, 22357, 8120, 32, 675, 7428, 160, 82, 4862, 2655, 89, 1655, 3612, 7113, 675, 1163, 1602, 1017, 14092, 1041, 6474, 1655, 3430, 4696, 22357, 7926, 32, 675, 2231, 1342 ]

[ 16914, 21451, 1605, 24587, 1049, 6724, 1054, 24328, 1009, 12773, 6721, 12376, 1344, 3755, 3097, 4979, 1048, 1026, 2859, 3939, 1060, 1155, 1302, 1236, 15154, 1204, 9457, 7560, 2566, 5604, 1006, 9743, 1009, 1048, 1592, 1132, 2033, 1361, 1566, 5086, 1452, 3634, 1058, 12909, 1213, 2017, 1445, 5457, 8245, 2668, 7756, 1079, 1048, 1026, 7920, 9472, 1054, 7838, 1009, 24592, 5661, 1213, 16831, 5990, 1322, 3282, 21451, 1233, 1871, 1009, 13371, 1009, 25070, 6919, 3569, 1233, 31418, 2762, 6189, 1079, 1006, 16552, 1009, 1048, 1160, 1837, 3282, 21451, 1006, 7838, 6903, 2274, 2271, 1048, 3631, 4039, 1026, 9383, 13751, 1060, 18648, 1805, 3003, 1060, 23338, 1071, 3776, 14877, 2308, 31, 5562, 3377, 1534, 2068, 1054, 1734, 5844, 11826, 1049, 7920, 9472, 1026, 14928, 1905, 13708, 1160, 1837, 3282, 21451, 1006, 2550, 31418, 7376, 18, 1058, 3631, 4039, 1026, 9383, 1060, 24454, 1112, 1060, 6937, 1187, 2033, 1361, 20, 1, 1344, 4307, 1434, 16213, 1014, 1005, 1006, 5380, 1809, 1958, 79, 15587, 1046, 12329, 1009, 10192, 30147, 1051, 1175, 10097, 1163, 2758, 2356, 1152, 29158, 88, 1436, 11709, 4307, 1434, 16213, 1014, 1005, 1006, 5380, 1809, 1958, 79, 15587, 1046, 12329, 1009, 10192, 30147, 1051, 4895, 48, 10139, 1009, 10192, 30147, 1051, 1271, 30968, 1406, 5444, 1006, 10669, 10957, 1114, 24594, 5, 3876, 3422, 4053, 1175, 3404, 78, 5940, 14010, 1054, 3727, 3422, 4053, 1175, 3404, 78, 4368, 6174, 5323, 2765, 1049, 10192, 30147, 1051, 1566, 6884, 3068, 9137, 20008, 1565, 12010, 14960, 5130, 5706, 1006, 19880, 1060, 3164, 1068, 1663, 13525, 1225, 4275, 20, 1344, 4307, 1434, 16213, 1870, 1118, 3018, 4527, 1079, 1044, 14549, 2127, 1068, 1132, 5410, 1059, 17, 1344, 4307, 1434, 16213, 1014, 1096, 4905, 1140, 1009, 20092, 2618, 1009, 17372, 9363, 5, 17, 2804, 5757, 1337, 15152, 1230, 32, 1090, 17980, 1291, 1009, 1344, 4307, 1434, 16213, 1014, 2612, 4972, 1049, 9271, 7572, 31436, 1006, 15833, 1814, 1049, 27978, 1344, 1528, 2690, 1423, 11127, 3889, 1014, 7981, 4792, 1435, 1044, 5648, 1027, 1043, 1090, 22329, 1009, 26917, 2526, 1213, 2790, 1060, 5380, 1809, 1958, 1803, 1009, 1799, 10847, 1048, 4792, 1034, 1026, 1592, 12329, 20, 10855, 10139, 1009, 10192, 30147, 1051, 1271, 30968, 1406, 5444, 1344, 4307, 1434, 1114, 24594, 1533, 1721, 1896, 1620, 27456, 1393, 1094, 1008, 1120, 91, 3039, 1009, 17547, 1803, 1048, 2551, 1012, 1393, 2593, 1043, 1819, 1026, 5768, 21944, 2951, 1136, 3877, 1989, 2383, 7295, 27547, 5444, 1094, 11680, 4441, 10475, 2106, 30605, 1160, 2009, 13845, 1294, 21229, 1233, 7779, 32, 3598, 1027, 1143, 7103, 27547, 1150, 1418, 1160, 6581, 6180, 1406, 14475, 9569, 1016, 1406, 18727, 1975, 2088, 5015, 20, 1796, 1508, 7, 1, 6075, 5992, 28996, 4465, 1009, 3861, 2952, 1152, 14818, 12148, 21979, 1797, 1040, 1122, 12955, 1160, 24817, 1005, 2569, 1224, 4455, 21750, 1054, 2916, 1009, 1101, 3328, 17200, 3622, 1072, 3861, 2835, 21218, 1605, 9937, 1009, 6496, 1060, 6075, 5992, 18111, 1006, 27574, 1112, 7951, 1049, 4465, 1009, 3861, 2952, 1118, 8623, 4952, 10206, 1009, 20878, 2453, 1049, 7166, 1049, 3861, 2566, 20967, 1068, 5197, 9807, 1026, 1150, 24, 0, 15873, 1009, 1063, 19692, 1009, 13120, 1005, 1535, 16016, 1406, 1294, 4732, 1049, 4032, 82, 1577, 1009, 29269, 20578, 8678, 1985, 8, 1060, 6075, 5992, 16987, 1067, 14014, 1005, 1060, 10831, 20565, 1027, 12711, 1394, 1067, 1845, 4437, 1680, 1159, 4810, 18463, 1048, 28926, 1006, 22125, 1063, 1049, 8658, 10831, 20565, 1027, 6297, 1704, 4465, 1009, 3861, 1195, 27574, 1069, 1043, 1026, 2161, 1009, 2824, 1487, 2567, 6418, 2308, 4059, 2400, 29, 2414, 17960, 1118, 11736, 4406, 3162, 9595, 24, 3606, 3540, 1072, 1498, 3795, 1005, 1305, 2161, 14069, 8409, 1847, 6013, 5861, 3006, 4325, 24, 3540, 8774, 1021, 2012, 1005, 6013, 6991, 3211, 28086, 3540, 15042, 1217, 3150, 1535, 4721, 3046, 1026, 3861, 2952, 1060, 6075, 5992, 5103, 1006, 1178, 1009, 2824, 5142, 4990, 3537, 11548, 3006, 12275, 2534, 24, 2443, 13831, 1054, 1782, 3537, 6507, 18243, 6507, 3540, 1072, 1498, 3795, 1005, 1305, 2161, 14069, 8409, 1847, 1487, 2639, 12580, 2023, 4829, 30, 3540, 8774, 1021, 2012, 1005, 1487, 2308, 7777, 3218, 3430, 22, 3540, 15042, 1217, 1020, 4441, 5082, 2650, 1048, 1058, 14857, 1412, 1890, 1006, 1150, 24, 0, 8214, 1623, 1049, 3483, 1188, 1009, 1535, 16016, 8, 6011, 1664, 1132, 1456, 16443, 6043, 19069, 3057, 4465, 1009, 31495, 1084, 1054, 6375, 2429, 6043, 22935, 1006, 12495, 1572, 7545, 1029, 1195, 21750, 1054, 2824, 1487, 2308, 4705, 2639, 3665, 2414, 9742, 1071, 2534, 15795, 1049, 18586, 1060, 12495, 1060, 12400, 6297, 1349, 6485, 14017, 1337, 1233, 1376, 26995, 1187, 8326, 1060, 9273, 11477, 18, 9704, 1006, 6075, 5992, 1054, 14627, 7550, 1566, 2977, 1105, 1100, 1006, 1062, 1040, 1122, 12955, 1160, 2521, 1751, 1049, 2417, 1009, 5082, 2650, 1048, 3839, 22416, 1006, 13853, 1187, 1456, 16443, 1054, 19688, 1992, 1159, 1160, 24817, 1026, 15476, 4465, 1009, 31495, 8974, 2569, 1224, 4455, 11706, 91, 2757, 1009, 21715, 8360, 11, 1068, 20946, 2708, 11, 1072, 3861, 2835, 21218, 1005, 1009, 14545, 13308, 11, 1068, 13932, 3663, 11, 1072, 3861, 3225, 20, 1, 9881, 15148, 2572, 1720, 2017, 1068, 15458, 1006, 8592, 1009, 19503, 72, 1350, 20, 16152, 1026, 1048, 4319, 1160, 2467, 10939, 8, 1175, 15864, 4146, 20807, 3324, 1229, 5609, 1400, 16638, 1005, 1184, 13624, 26166, 9881, 15148, 2572, 1720, 2017, 1068, 15458, 1006, 8592, 1009, 19503, 72, 1350, 20, 16152, 1256, 2875, 2104, 30090, 1114, 5096, 2429, 9137, 10024, 1349, 1072, 2868, 1082, 4171, 1009, 6803, 18, 1060, 3546, 18592, 1411, 1026, 12450, 2025, 1052, 72, 24996, 13335, 9881, 15148, 11055, 23376, 3354, 7709, 1569, 22130, 1394, 2453, 1049, 2417, 5098, 1049, 1086, 11206, 4420, 18, 1049, 1428, 1264, 1381, 1751, 20, 4501, 25420, 2880, 1264, 1973, 1048, 1026, 8393, 10648, 1325, 1098, 2890, 1041, 5336, 1005, 1048, 2088, 15099, 1826, 1847, 1745, 1029, 3259, 1357, 25375, 1049, 24205, 10105, 1118, 1062, 11433, 11396, 1071, 7183, 1049, 6307, 23376, 15244, 23594, 1013, 1723, 1071, 1167, 1013, 1348, 15, 1005, 1106, 2526, 23594, 1013, 1723, 11138, 19, 1167, 1013, 1348, 15, 3021, 3465, 1631, 8669, 71, 1009, 1160, 1178, 5118, 1069, 1054, 2350, 3188, 5247, 1005, 1009, 1160, 1178, 12899, 1068, 12100, 1048, 19895, 1986, 10892, 3229, 1060, 21710, 2200, 5649, 1048, 1132, 5822, 1032, 2147, 17418, 1160, 1058, 16483, 1040, 1998, 1006, 11249, 12010, 1734, 1826, 22167, 1020, 1546, 7010, 1309, 1225, 1040, 2313, 1828, 2275, 9520, 1005, 6521, 1114, 27677, 10568, 4364, 1477, 3388, 21698, 2053, 5881, 47, 4071, 32, 7493, 2650, 18448, 1040, 1357, 10549, 17151, 1049, 19670, 2345, 11119, 28428, 2859, 64, 158, 3147, 1183, 79, 24818, 25583, 13097, 2037, 1919, 1048, 9449, 1009, 12513, 2131, 1046, 27760, 1054, 8134, 1005, 1734, 1160, 1, 2800, 2837, 1094, 3919, 20764, 1009, 19049, 1160, 15671, 22552, 25411, 4797, 24384, 1057, 41, 5071, 9737, 9671, 9583, 32, 4499, 6055, 30748, 4935, 1299, 3134, 2653, 19049, 1054, 1224, 2919, 1009, 1201, 15126, 1096, 3707, 1043, 1026, 4125, 1049, 4248, 2653, 4313, 1068, 1656, 1009, 21211, 1043, 1456, 8408, 1333, 1009, 7793, 7925, 20, 8335, 1026, 1048, 2653, 1160, 11825, 1096, 1048, 2693, 1472, 1048, 1299, 10259, 7220, 1068, 19049, 1048, 1160, 1788, 6177, 1043, 1456, 7793, 1678, 1299, 4082, 3328, 1009, 14298, 1043, 1132, 30582, 1009, 7793, 5721, 3005, 2739, 1271, 7220, 1068, 28184, 1480, 2248, 1229, 8897, 4537, 1072, 14994, 4924, 2274, 3121, 1233, 6167, 14298, 1048, 1235, 3245, 19456, 1298, 1261, 5653, 3005, 5179, 1508, 1048, 1798, 75, 3919, 3365, 1394, 2966, 1054, 1456, 8408, 1333, 4564, 19049, 1048, 1826, 16449, 1435, 1294, 4679, 1675, 16787, 1972, 1132, 4810, 19049, 1096, 2512, 4855, 3540, 1009, 1057, 1051, 1665, 10394, 26560, 3240, 1068, 1048, 5680, 1160, 5341, 1040, 1456, 8408, 1333, 26840, 22517, 3057, 25426, 1159, 4855, 1094, 3919, 20764, 1009, 19049, 1160, 15671, 22552, 1043, 1456, 3881, 1229, 7404, 1435, 1132, 3398, 19049, 1048, 1596, 20235, 1054, 1224, 28292, 1, 19294, 5504, 3847, 19242, 1941, 1146, 1093, 1175, 3316, 3379, 1076, 1072, 15755, 1175, 22738, 1009, 10363, 1009, 3997, 1634, 1122, 16205, 5376, 9440, 1065, 3589, 2191, 3563, 1005, 1493, 1184, 17910, 21908, 17015, 2530, 5168, 9619, 3008, 1328, 1049, 9591, 1940, 4096, 1535, 10733, 1383, 52, 1576, 58, 1383, 57, 12107, 24115, 1094, 9597, 1467, 3554, 1876, 10404, 5102, 5961, 2557, 1442, 66, 39, 6587, 1145, 9892, 10972, 15434, 18512, 3049, 2557, 1442, 66, 39, 6587, 1145, 9892, 10972, 15434, 18512, 3973, 1152, 27593, 3795, 11144, 13093, 1467, 1010, 2182, 2864, 9947, 78, 81, 2690, 1056, 6425, 91, 7917, 1009, 4305, 1026, 16238, 3180, 22026, 2929, 2890, 1073, 2432, 1324, 1049, 16796, 2952, 5504, 3847, 19242, 1941, 1146, 3662, 1118, 1235, 2011, 12632, 2158, 3617, 1063, 5102, 1187, 25128, 2502, 30744, 2365, 15014, 1054, 3977, 1006, 4422, 11279, 4717, 10251, 1048, 3004, 2612, 1043, 1910, 3948, 1068, 6825, 1006, 4946, 12632, 6649, 1005, 1026, 2248, 1876, 10404, 5102, 1833, 1566, 9251, 12462, 4290, 1356, 2191, 3563, 1054, 21049, 1214, 2271, 1132, 1844, 4844, 5139, 1006, 3357, 2862, 6750, 1060, 14565, 3440, 1208, 1784, 1744, 1280, 6153, 12920, 2045, 13397, 1423, 1940, 10747, 16411, 1144, 11969, 1042, 1122, 90, 1759, 10199, 1184, 32, 18946, 19273, 17458, 1423, 4177, 77, 29707, 4974, 24801, 18900, 76, 1262, 1341, 89, 4328, 1095, 7280, 13222, 8334, 1087, 21, 3452, 21, 1133, 1051, 12267, 1066, 18481, 1024, 1092, 1017, 19, 1139, 3554, 1105, 29148, 72, 1214, 19, 1781, 20698, 20422, 9005, 37, 41, 10853, 35, 90, 93, 90, 31561, 23525, 30125, 11757, 6179, 74, 1692, 1066, 1, 24274, 11888, 1660, 1060, 12868, 10426, 18386, 1026, 2403, 1150, 1442, 5205, 1406, 11322, 1049, 3066, 31800, 1009, 7413, 2591, 12880, 1152, 3015, 1388, 2345, 1958, 11576, 1797, 1699, 11888, 1660, 1060, 12868, 10426, 18386, 1026, 2403, 1150, 1442, 5205, 1406, 11322, 1049, 3066, 31800, 1009, 7413, 2591, 12880, 5919, 6891, 1924, 1130, 1007, 2971, 12743, 4119, 1782, 5207, 2503, 1279, 29242, 2397, 1016, 1152, 12517, 2850, 20823, 1358, 1005, 26232, 95, 25428, 1294, 5441, 2701, 1074, 11889, 1478, 1068, 11322, 1049, 7093, 28571, 1559, 1559, 3162, 1131, 96, 2503, 1423, 1925, 2638, 2440, 1005, 3753, 19905, 15187, 85, 1463, 4601, 11889, 1907, 1060, 8907, 16200, 2045, 26713, 1559, 27147, 80, 1146, 1759, 6981, 2132, 79, 11029, 1142, 4326, 22580, 5462, 7558, 2805, 46, 126, 1043, 5122, 21266, 2571, 1005, 10452, 8215, 1012, 6698, 24885, 4414, 2393, 4750, 1559, 27147, 1182, 88, 16199, 12785, 1294, 1249, 2275, 14763, 2315, 2730, 1807, 9550, 31068, 37, 4378, 4380, 2177, 1026, 5054, 1060, 9985, 1049, 3867, 24274, 11888, 1660, 1060, 12868, 10426, 1009, 3584, 26668, 1004, 0, 53, 1553, 1986, 1006, 8568, 1049, 2403, 21114, 1531, 3734, 1009, 12743, 1726, 2322, 8956, 1063, 3583, 1096, 17266, 1704, 10872, 11322, 1049, 3066, 31800, 1009, 7413, 2591, 93, 11045, 20620, 1009, 1094, 10759, 27806, 1043, 4188, 1009, 6873, 8588, 5797, 20, 1063, 2042, 1058, 5103, 1054, 1044, 4037, 5546, 1048, 1325, 1288, 1026, 7838, 2952, 7407, 6126, 1054, 2220, 2269, 20072, 1009, 16909, 1048, 17901, 1159, 1132, 4101, 1049, 2671, 1068, 3291, 1026, 1048, 1132, 10385, 1381, 4830, 1776, 14593, 1009, 4513, 9386, 1327, 3321, 1580, 12530, 4601, 2328, 11788, 10529, 2809, 1273, 3523, 1157, 1124, 16359, 3729, 1312, 1357, 10493, 7316, 1054, 1734, 8641, 1452, 23151, 7370, 1081, 11162, 1071, 11407, 1207, 5999, 15, 8983, 10911, 1005, 6471, 1068, 1044, 1187, 23855, 1049, 12694, 8293, 12311, 2266, 1009, 1871, 1048, 1124, 4816, 4444, 19689, 1068, 1006, 22626, 7766, 2464, 1044, 4604, 1264, 5103, 1006, 1058, 3194, 1024, 1118, 1094, 7998, 1126, 27032, 2794, 3789, 18060, 17723, 1349, 1048, 1026, 5510, 1495, 1132, 18536, 1060, 8363, 5126, 10627, 1006, 1261, 1044, 2852, 3784, 2637, 24379, 1356, 24205, 1048, 5902, 15567, 1006, 2687, 1188, 1114, 2779, 1704, 4868, 1060, 4630, 23078, 1009, 30403, 1005, 10031, 1009, 9099, 1060, 2828, 1009, 1764, 2434, 19593, 11285, 18772, 10556, 1005, 10660, 6519, 4058, 8871, 5377, 1412, 1672, 7744, 2405, 1049, 24274, 11888, 8655, 12004, 28427, 1026, 5054, 1043, 1026, 2999, 3863, 1986, 1006, 8568, 1049, 2403, 3915, 15100, 1006, 12868, 10426, 11683, 1079, 1026, 1235, 2743, 1009, 24274, 11888, 8655, 1054, 2017, 1531, 1005, 7333, 20, 7509, 4183, 1124, 13817, 29258, 19895, 1072, 3810, 8733, 1009, 1752, 12686, 1726, 2322, 8956, 2494, 6406, 2755, 1094, 9985, 1322, 1026, 4680, 3321, 4457, 1138, 2017, 5203, 1049, 2743, 1009, 6450, 12978, 1233, 8568, 1009, 4533, 1048, 2033, 16198, 1040, 1005, 1895, 1040, 1006, 9473, 7799, 1049, 10445, 2247, 1009, 13971, 1754, 1026, 4961, 1357, 22162, 3374, 1833, 29833, 32, 24274, 11888, 1660, 1060, 12868, 10426, 1009, 3584, 26668, 1004 ]

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

[ 16914, 21451, 1605, 24587, 1049, 6724, 1054, 24328, 1009, 12773, 6721, 12376, 1344, 3755, 3097, 4979, 1048, 1026, 2859, 3939, 1060, 1155, 1302, 1236, 15154, 1204, 9457, 7560, 2566, 5604, 1006, 9743, 1009, 1048, 1592, 1132, 2033, 1361, 1566, 5086, 1452, 3634, 1058, 12909, 1213, 2017, 1445, 5457, 8245, 2668, 7756, 1079, 1048, 1026, 7920, 9472, 1054, 7838, 1009, 24592, 5661, 1213, 16831, 5990, 1322, 3282, 21451, 1233, 1871, 1009, 13371, 1009, 25070, 6919, 3569, 1233, 31418, 2762, 6189, 1079, 1006, 16552, 1009, 1048, 1160, 1837, 3282, 21451, 1006, 7838, 6903, 2274, 2271, 1048, 3631, 4039, 1026, 9383, 13751, 1060, 18648, 1805, 3003, 1060, 23338, 1071, 3776, 14877, 2308, 31, 5562, 3377, 1534, 2068, 1054, 1734, 5844, 11826, 1049, 7920, 9472, 1026, 14928, 1905, 13708, 1160, 1837, 3282, 21451, 1006, 2550, 31418, 7376, 18, 1058, 3631, 4039, 1026, 9383, 1060, 24454, 1112, 1060, 6937, 1187, 2033, 1361, 20, 1, 1344, 4307, 1434, 16213, 1014, 1005, 1006, 5380, 1809, 1958, 79, 15587, 1046, 12329, 1009, 10192, 30147, 1051, 1175, 10097, 1163, 2758, 2356, 1152, 29158, 88, 1436, 11709, 4307, 1434, 16213, 1014, 1005, 1006, 5380, 1809, 1958, 79, 15587, 1046, 12329, 1009, 10192, 30147, 1051, 4895, 48, 10139, 1009, 10192, 30147, 1051, 1271, 30968, 1406, 5444, 1006, 10669, 10957, 1114, 24594, 5, 3876, 3422, 4053, 1175, 3404, 78, 5940, 14010, 1054, 3727, 3422, 4053, 1175, 3404, 78, 4368, 6174, 5323, 2765, 1049, 10192, 30147, 1051, 1566, 6884, 3068, 9137, 20008, 1565, 12010, 14960, 5130, 5706, 1006, 19880, 1060, 3164, 1068, 1663, 13525, 1225, 4275, 20, 1344, 4307, 1434, 16213, 1870, 1118, 3018, 4527, 1079, 1044, 14549, 2127, 1068, 1132, 5410, 1059, 17, 1344, 4307, 1434, 16213, 1014, 1096, 4905, 1140, 1009, 20092, 2618, 1009, 17372, 9363, 5, 17, 2804, 5757, 1337, 15152, 1230, 32, 1090, 17980, 1291, 1009, 1344, 4307, 1434, 16213, 1014, 2612, 4972, 1049, 9271, 7572, 31436, 1006, 15833, 1814, 1049, 27978, 1344, 1528, 2690, 1423, 11127, 3889, 1014, 7981, 4792, 1435, 1044, 5648, 1027, 1043, 1090, 22329, 1009, 26917, 2526, 1213, 2790, 1060, 5380, 1809, 1958, 1803, 1009, 1799, 10847, 1048, 4792, 1034, 1026, 1592, 12329, 20, 10855, 10139, 1009, 10192, 30147, 1051, 1271, 30968, 1406, 5444, 1344, 4307, 1434, 1114, 24594, 1533, 1721, 1896, 1620, 27456, 1393, 1094, 1008, 1120, 91, 3039, 1009, 17547, 1803, 1048, 2551, 1012, 1393, 2593, 1043, 1819, 1026, 5768, 21944, 2951, 1136, 3877, 1989, 2383, 7295, 27547, 5444, 1094, 11680, 4441, 10475, 2106, 30605, 1160, 2009, 13845, 1294, 21229, 1233, 7779, 32, 3598, 1027, 1143, 7103, 27547, 1150, 1418, 1160, 6581, 6180, 1406, 14475, 9569, 1016, 1406, 18727, 1975, 2088, 5015, 20, 1796, 1508, 7, 1, 6075, 5992, 28996, 4465, 1009, 3861, 2952, 1152, 14818, 12148, 21979, 1797, 1040, 1122, 12955, 1160, 24817, 1005, 2569, 1224, 4455, 21750, 1054, 2916, 1009, 1101, 3328, 17200, 3622, 1072, 3861, 2835, 21218, 1605, 9937, 1009, 6496, 1060, 6075, 5992, 18111, 1006, 27574, 1112, 7951, 1049, 4465, 1009, 3861, 2952, 1118, 8623, 4952, 10206, 1009, 20878, 2453, 1049, 7166, 1049, 3861, 2566, 20967, 1068, 5197, 9807, 1026, 1150, 24, 0, 15873, 1009, 1063, 19692, 1009, 13120, 1005, 1535, 16016, 1406, 1294, 4732, 1049, 4032, 82, 1577, 1009, 29269, 20578, 8678, 1985, 8, 1060, 6075, 5992, 16987, 1067, 14014, 1005, 1060, 10831, 20565, 1027, 12711, 1394, 1067, 1845, 4437, 1680, 1159, 4810, 18463, 1048, 28926, 1006, 22125, 1063, 1049, 8658, 10831, 20565, 1027, 6297, 1704, 4465, 1009, 3861, 1195, 27574, 1069, 1043, 1026, 2161, 1009, 2824, 1487, 2567, 6418, 2308, 4059, 2400, 29, 2414, 17960, 1118, 11736, 4406, 3162, 9595, 24, 3606, 3540, 1072, 1498, 3795, 1005, 1305, 2161, 14069, 8409, 1847, 6013, 5861, 3006, 4325, 24, 3540, 8774, 1021, 2012, 1005, 6013, 6991, 3211, 28086, 3540, 15042, 1217, 3150, 1535, 4721, 3046, 1026, 3861, 2952, 1060, 6075, 5992, 5103, 1006, 1178, 1009, 2824, 5142, 4990, 3537, 11548, 3006, 12275, 2534, 24, 2443, 13831, 1054, 1782, 3537, 6507, 18243, 6507, 3540, 1072, 1498, 3795, 1005, 1305, 2161, 14069, 8409, 1847, 1487, 2639, 12580, 2023, 4829, 30, 3540, 8774, 1021, 2012, 1005, 1487, 2308, 7777, 3218, 3430, 22, 3540, 15042, 1217, 1020, 4441, 5082, 2650, 1048, 1058, 14857, 1412, 1890, 1006, 1150, 24, 0, 8214, 1623, 1049, 3483, 1188, 1009, 1535, 16016, 8, 6011, 1664, 1132, 1456, 16443, 6043, 19069, 3057, 4465, 1009, 31495, 1084, 1054, 6375, 2429, 6043, 22935, 1006, 12495, 1572, 7545, 1029, 1195, 21750, 1054, 2824, 1487, 2308, 4705, 2639, 3665, 2414, 9742, 1071, 2534, 15795, 1049, 18586, 1060, 12495, 1060, 12400, 6297, 1349, 6485, 14017, 1337, 1233, 1376, 26995, 1187, 8326, 1060, 9273, 11477, 18, 9704, 1006, 6075, 5992, 1054, 14627, 7550, 1566, 2977, 1105, 1100, 1006, 1062, 1040, 1122, 12955, 1160, 2521, 1751, 1049, 2417, 1009, 5082, 2650, 1048, 3839, 22416, 1006, 13853, 1187, 1456, 16443, 1054, 19688, 1992, 1159, 1160, 24817, 1026, 15476, 4465, 1009, 31495, 8974, 2569, 1224, 4455, 11706, 91, 2757, 1009, 21715, 8360, 11, 1068, 20946, 2708, 11, 1072, 3861, 2835, 21218, 1005, 1009, 14545, 13308, 11, 1068, 13932, 3663, 11, 1072, 3861, 3225, 20, 1, 9881, 15148, 2572, 1720, 2017, 1068, 15458, 1006, 8592, 1009, 19503, 72, 1350, 20, 16152, 1026, 1048, 4319, 1160, 2467, 10939, 8, 1175, 15864, 4146, 20807, 3324, 1229, 5609, 1400, 16638, 1005, 1184, 13624, 26166, 9881, 15148, 2572, 1720, 2017, 1068, 15458, 1006, 8592, 1009, 19503, 72, 1350, 20, 16152, 1256, 2875, 2104, 30090, 1114, 5096, 2429, 9137, 10024, 1349, 1072, 2868, 1082, 4171, 1009, 6803, 18, 1060, 3546, 18592, 1411, 1026, 12450, 2025, 1052, 72, 24996, 13335, 9881, 15148, 11055, 23376, 3354, 7709, 1569, 22130, 1394, 2453, 1049, 2417, 5098, 1049, 1086, 11206, 4420, 18, 1049, 1428, 1264, 1381, 1751, 20, 4501, 25420, 2880, 1264, 1973, 1048, 1026, 8393, 10648, 1325, 1098, 2890, 1041, 5336, 1005, 1048, 2088, 15099, 1826, 1847, 1745, 1029, 3259, 1357, 25375, 1049, 24205, 10105, 1118, 1062, 11433, 11396, 1071, 7183, 1049, 6307, 23376, 15244, 23594, 1013, 1723, 1071, 1167, 1013, 1348, 15, 1005, 1106, 2526, 23594, 1013, 1723, 11138, 19, 1167, 1013, 1348, 15, 3021, 3465, 1631, 8669, 71, 1009, 1160, 1178, 5118, 1069, 1054, 2350, 3188, 5247, 1005, 1009, 1160, 1178, 12899, 1068, 12100, 1048, 19895, 1986, 10892, 3229, 1060, 21710, 2200, 5649, 1048, 1132, 5822, 1032, 2147, 17418, 1160, 1058, 16483, 1040, 1998, 1006, 11249, 12010, 1734, 1826, 22167, 1020, 1546, 7010, 1309, 1225, 1040, 2313, 1828, 2275, 9520, 1005, 6521, 1114, 27677, 10568, 4364, 1477, 3388, 21698, 2053, 5881, 47, 4071, 32, 7493, 2650, 18448, 1040, 1357, 10549, 17151, 1049, 19670, 2345, 11119, 28428, 2859, 64, 158, 3147, 1183, 79, 24818, 25583, 13097, 2037, 1919, 1048, 9449, 1009, 12513, 2131, 1046, 27760, 1054, 8134, 1005, 1734, 1160, 1, 2800, 2837, 1094, 3919, 20764, 1009, 19049, 1160, 15671, 22552, 25411, 4797, 24384, 1057, 41, 5071, 9737, 9671, 9583, 32, 4499, 6055, 30748, 4935, 1299, 3134, 2653, 19049, 1054, 1224, 2919, 1009, 1201, 15126, 1096, 3707, 1043, 1026, 4125, 1049, 4248, 2653, 4313, 1068, 1656, 1009, 21211, 1043, 1456, 8408, 1333, 1009, 7793, 7925, 20, 8335, 1026, 1048, 2653, 1160, 11825, 1096, 1048, 2693, 1472, 1048, 1299, 10259, 7220, 1068, 19049, 1048, 1160, 1788, 6177, 1043, 1456, 7793, 1678, 1299, 4082, 3328, 1009, 14298, 1043, 1132, 30582, 1009, 7793, 5721, 3005, 2739, 1271, 7220, 1068, 28184, 1480, 2248, 1229, 8897, 4537, 1072, 14994, 4924, 2274, 3121, 1233, 6167, 14298, 1048, 1235, 3245, 19456, 1298, 1261, 5653, 3005, 5179, 1508, 1048, 1798, 75, 3919, 3365, 1394, 2966, 1054, 1456, 8408, 1333, 4564, 19049, 1048, 1826, 16449, 1435, 1294, 4679, 1675, 16787, 1972, 1132, 4810, 19049, 1096, 2512, 4855, 3540, 1009, 1057, 1051, 1665, 10394, 26560, 3240, 1068, 1048, 5680, 1160, 5341, 1040, 1456, 8408, 1333, 26840, 22517, 3057, 25426, 1159, 4855, 1094, 3919, 20764, 1009, 19049, 1160, 15671, 22552, 1043, 1456, 3881, 1229, 7404, 1435, 1132, 3398, 19049, 1048, 1596, 20235, 1054, 1224, 28292, 1, 19294, 5504, 3847, 19242, 1941, 1146, 1093, 1175, 3316, 3379, 1076, 1072, 15755, 1175, 22738, 1009, 10363, 1009, 3997, 1634, 1122, 16205, 5376, 9440, 1065, 3589, 2191, 3563, 1005, 1493, 1184, 17910, 21908, 17015, 2530, 5168, 9619, 3008, 1328, 1049, 9591, 1940, 4096, 1535, 10733, 1383, 52, 1576, 58, 1383, 57, 12107, 24115, 1094, 9597, 1467, 3554, 1876, 10404, 5102, 5961, 2557, 1442, 66, 39, 6587, 1145, 9892, 10972, 15434, 18512, 3049, 2557, 1442, 66, 39, 6587, 1145, 9892, 10972, 15434, 18512, 3973, 1152, 27593, 3795, 11144, 13093, 1467, 1010, 2182, 2864, 9947, 78, 81, 2690, 1056, 6425, 91, 7917, 1009, 4305, 1026, 16238, 3180, 22026, 2929, 2890, 1073, 2432, 1324, 1049, 16796, 2952, 5504, 3847, 19242, 1941, 1146, 3662, 1118, 1235, 2011, 12632, 2158, 3617, 1063, 5102, 1187, 25128, 2502, 30744, 2365, 15014, 1054, 3977, 1006, 4422, 11279, 4717, 10251, 1048, 3004, 2612, 1043, 1910, 3948, 1068, 6825, 1006, 4946, 12632, 6649, 1005, 1026, 2248, 1876, 10404, 5102, 1833, 1566, 9251, 12462, 4290, 1356, 2191, 3563, 1054, 21049, 1214, 2271, 1132, 1844, 4844, 5139, 1006, 3357, 2862, 6750, 1060, 14565, 3440, 1208, 1784, 1744, 1280, 6153, 12920, 2045, 13397, 1423, 1940, 10747, 16411, 1144, 11969, 1042, 1122, 90, 1759, 10199, 1184, 32, 18946, 19273, 17458, 1423, 4177, 77, 29707, 4974, 24801, 18900, 76, 1262, 1341, 89, 4328, 1095, 7280, 13222, 8334, 1087, 21, 3452, 21, 1133, 1051, 12267, 1066, 18481, 1024, 1092, 1017, 19, 1139, 3554, 1105, 29148, 72, 1214, 19, 1781, 20698, 20422, 9005, 37, 41, 10853, 35, 90, 93, 90, 31561, 23525, 30125, 11757, 6179, 74, 1692, 1066, 1, 24274, 11888, 1660, 1060, 12868, 10426, 18386, 1026, 2403, 1150, 1442, 5205, 1406, 11322, 1049, 3066, 31800, 1009, 7413, 2591, 12880, 1152, 3015, 1388, 2345, 1958, 11576, 1797, 1699, 11888, 1660, 1060, 12868, 10426, 18386, 1026, 2403, 1150, 1442, 5205, 1406, 11322, 1049, 3066, 31800, 1009, 7413, 2591, 12880, 5919, 6891, 1924, 1130, 1007, 2971, 12743, 4119, 1782, 5207, 2503, 1279, 29242, 2397, 1016, 1152, 12517, 2850, 20823, 1358, 1005, 26232, 95, 25428, 1294, 5441, 2701, 1074, 11889, 1478, 1068, 11322, 1049, 7093, 28571, 1559, 1559, 3162, 1131, 96, 2503, 1423, 1925, 2638, 2440, 1005, 3753, 19905, 15187, 85, 1463, 4601, 11889, 1907, 1060, 8907, 16200, 2045, 26713, 1559, 27147, 80, 1146, 1759, 6981, 2132, 79, 11029, 1142, 4326, 22580, 5462, 7558, 2805, 46, 126, 1043, 5122, 21266, 2571, 1005, 10452, 8215, 1012, 6698, 24885, 4414, 2393, 4750, 1559, 27147, 1182, 88, 16199, 12785, 1294, 1249, 2275, 14763, 2315, 2730, 1807, 9550, 31068, 37, 4378, 4380, 2177, 1026, 5054, 1060, 9985, 1049, 3867, 24274, 11888, 1660, 1060, 12868, 10426, 1009, 3584, 26668, 1004, 0, 53, 1553, 1986, 1006, 8568, 1049, 2403, 21114, 1531, 3734, 1009, 12743, 1726, 2322, 8956, 1063, 3583, 1096, 17266, 1704, 10872, 11322, 1049, 3066, 31800, 1009, 7413, 2591, 93, 11045, 20620, 1009, 1094, 10759, 27806, 1043, 4188, 1009, 6873, 8588, 5797, 20, 1063, 2042, 1058, 5103, 1054, 1044, 4037, 5546, 1048, 1325, 1288, 1026, 7838, 2952, 7407, 6126, 1054, 2220, 2269, 20072, 1009, 16909, 1048, 17901, 1159, 1132, 4101, 1049, 2671, 1068, 3291, 1026, 1048, 1132, 10385, 1381, 4830, 1776, 14593, 1009, 4513, 9386, 1327, 3321, 1580, 12530, 4601, 2328, 11788, 10529, 2809, 1273, 3523, 1157, 1124, 16359, 3729, 1312, 1357, 10493, 7316, 1054, 1734, 8641, 1452, 23151, 7370, 1081, 11162, 1071, 11407, 1207, 5999, 15, 8983, 10911, 1005, 6471, 1068, 1044, 1187, 23855, 1049, 12694, 8293, 12311, 2266, 1009, 1871, 1048, 1124, 4816, 4444, 19689, 1068, 1006, 22626, 7766, 2464, 1044, 4604, 1264, 5103, 1006, 1058, 3194, 1024, 1118, 1094, 7998, 1126, 27032, 2794, 3789, 18060, 17723, 1349, 1048, 1026, 5510, 1495, 1132, 18536, 1060, 8363, 5126, 10627, 1006, 1261, 1044, 2852, 3784, 2637, 24379, 1356, 24205, 1048, 5902, 15567, 1006, 2687, 1188, 1114, 2779, 1704, 4868, 1060, 4630, 23078, 1009, 30403, 1005, 10031, 1009, 9099, 1060, 2828, 1009, 1764, 2434, 19593, 11285, 18772, 10556, 1005, 10660, 6519, 4058, 8871, 5377, 1412, 1672, 7744, 2405, 1049, 24274, 11888, 8655, 12004, 28427, 1026, 5054, 1043, 1026, 2999, 3863, 1986, 1006, 8568, 1049, 2403, 3915, 15100, 1006, 12868, 10426, 11683, 1079, 1026, 1235, 2743, 1009, 24274, 11888, 8655, 1054, 2017, 1531, 1005, 7333, 20, 7509, 4183, 1124, 13817, 29258, 19895, 1072, 3810, 8733, 1009, 1752, 12686, 1726, 2322, 8956, 2494, 6406, 2755, 1094, 9985, 1322, 1026, 4680, 3321, 4457, 1138, 2017, 5203, 1049, 2743, 1009, 6450, 12978, 1233, 8568, 1009, 4533, 1048, 2033, 16198, 1040, 1005, 1895, 1040, 1006, 9473, 7799, 1049, 10445, 2247, 1009, 13971, 1754, 1026, 4961, 1357, 22162, 3374, 1833, 29833, 32, 24274, 11888, 1660, 1060, 12868, 10426, 1009, 3584, 26668, 1004 ]

[ 1, 6562, 21454, 1396, 30644, 1014, 3106, 1012, 1081, 5764, 30644, 30095, 17886, 1009, 2436, 1009, 10666, 2041, 1054, 1180, 177, 1763, 78, 2457, 5704, 1049, 31319, 1175, 2595, 1009, 3353, 1009, 7976, 2084, 1054, 16290, 1937, 12789, 6190, 1195, 1044, 18864, 24152, 15678, 1009, 29644, 1005, 18161, 675, 13231, 3367, 1012, 1081, 30644, 1014, 1516, 3419, 1049, 4868, 1009, 4044, 17897, 28273, 8492, 76, 30644, 1014, 1005, 6650, 1049, 8497, 1009, 1180, 177, 1763, 2975, 11155, 30644, 2652, 2200, 1831, 26931, 1006, 4044, 6661, 1009, 1224, 1641, 11763, 1005, 8139, 25, 2541, 4705, 29, 1060, 23348, 11386, 1509, 19800, 1163, 6426, 9709, 4747, 675, 2457, 1054, 2346, 12222, 2124, 2200, 2276, 12081, 2899, 2404, 10708, 1114, 2828, 1009, 20278, 84, 7473, 1005, 1846, 1114, 2828, 1009, 7377, 84, 2124, 1482, 7377, 7076, 18572, 1054, 1578, 4160, 1114, 9705, 8206, 1009, 6900, 16938, 1431, 1907, 1175, 57, 1029, 2275, 4733, 1006, 4581, 4884, 1072, 26264, 1009, 2346, 11038, 1264, 3661, 1054, 1101, 1009, 3042, 1009, 1578, 9132, 1054, 29644, 7814, 1112, 14055, 90, 1672, 7731, 1578, 4655, 7687, 1159, 4868, 1009, 9403, 1054, 6152, 3933, 1571, 1264, 25476, 1424, 1398, 1304, 3680, 16040, 1699, 3217, 1081, 18412, 60, 1195, 17690, 1264, 1578, 4829, 1054, 1128, 177, 72, 23043, 4942, 2045, 23408, 4567, 1048, 1235, 5975, 1009, 1578, 4325, 1068, 1094, 11270, 5134, 1007, 1054, 7377, 84, 1160, 1195, 1680, 10952, 2647, 17803, 5193, 18864, 8664, 12105, 1344, 1656, 1032, 96, 1072, 1592, 1901, 1068, 1026, 6043, 1637, 1060, 27658, 1054, 29644, 8000, 1901, 5738, 1054, 2322, 1009, 3403, 1009, 8931, 2534, 30644, 1014, 1195, 6738, 18334, 13475, 1637, 1009, 1156, 1075, 79, 10484, 1005, 18334, 17906, 4598, 1009, 2346, 21043, 1063, 7814, 1112, 3405, 25303, 3765, 6256, 1054, 1083, 1009, 2436, 1049, 1592, 1901, 1026, 18864, 8664, 12105, 1344, 1656, 1032, 96, 33, 1766, 13007, 13005, 11053, 1596, 3167, 2477, 1093, 2695, 1014, 1736, 89, 2457, 18334, 1009, 3769, 1014, 9725, 2457, 1005, 15547, 2552, 1041, 1051, 2457, 18334, 17906, 4598, 1054, 8940, 1014, 675, 12561, 1009, 5614, 27, 4660, 29149, 21377, 1051, 1195, 4970, 2166, 1048, 27352, 12500, 1060, 27658, 1049, 10629, 10760, 1054, 1675, 1009, 3113, 1009, 4658, 24, 2523, 1009, 1984, 7533, 18864, 1009, 2346, 11038, 1048, 1195, 6738, 1054, 3727, 1009, 9195, 4658, 24, 2800, 6752, 10629, 1048, 2257, 1054, 29325, 1054, 20278, 84, 7473, 2457, 5614, 23, 1054, 1073, 7486, 72, 1320, 1005, 31621, 1054, 1766, 84, 1182, 88, 177, 3084, 1058, 14447, 1005, 1062, 1899, 1692, 1463, 14883, 1049, 29436, 12500, 1060, 2542, 1171, 9464, 1309, 1195, 8234, 1140, 4202, 1356, 2671, 1060, 2677, 5123, 2275, 8985, 13700, 21077, 20, 4715, 5193, 1054, 3404, 1009, 3370, 1009, 4658, 25, 1159, 14809, 18161, 1043, 1006, 6661, 8977, 1009, 2242, 79, 1144, 1281, 85, 1970, 17120, 1061, 4463, 1072, 12333, 1187, 1868, 1131, 1102, 74, 4559, 20, 2200, 6580, 1049, 1572, 27638, 1054, 4658, 25, 2457, 1048, 27352, 18779, 1842, 1213, 15110, 1879, 18864, 26176, 1195, 1026, 1831, 1006, 26179, 1132, 10328, 1009, 1235, 29193, 1017, 1114, 4946, 1009, 14055, 2917, 1005, 6192, 1233, 1090, 6226, 2618, 1009, 4581, 1049, 18161, 1344, 1656, 1032, 14370, 7509, 18861, 1318, 4064, 1006, 1044, 23494, 2024, 2999, 1043, 1026, 15591, 1060, 6661, 1009, 7377, 7076, 15547, 4568, 88, 28974, 1678, 1048, 1998, 3012, 1178, 23566, 1357, 11061, 1049, 4813, 1060, 22389, 1048, 2257, 1026, 18864, 1054, 1235, 15682, 30644, 1014, 16447, 1079, 1009, 1871, 1184, 1884, 1441, 1091, 1114, 6915, 25221, 2457, 1571, 1264, 2521, 4600, 1118, 27890, 1957, 5075, 1104, 1021, 4486, 3110, 11807, 1014, 7600, 1026, 23240, 1468, 1009, 2346, 11038, 30660, 2946, 4041, 1068, 2711, 150, 19, 2579, 1322, 13390, 12128, 80, 2783, 1392, 2453, 1049, 1373, 1471, 1060, 1886, 22338, 1009, 2346, 11038, 1264, 1160, 9090, 12257, 5990, 1616, 1005, 2276, 2468, 1461, 5567, 1717, 11249, 5153, 2946, 4041, 1989, 1195, 1026, 2535, 1054, 2156, 16044, 3110, 11807, 1870, 1048, 5658, 1009, 14171, 21117, 6229, 1054, 2595, 1009, 3353, 1009, 21675, 1054, 12712, 16290, 1937, 12789, 2457, 1571, 1195, 1213, 1015, 2002, 2124, 9049, 16803, 26532, 1596, 6984, 1402, 1068, 29644, 1005, 17407, 3500, 7084, 1072, 29954, 3405, 25303, 1060, 17162, 1009, 29644, 675, 1879, 30209, 6562, 5764, 30644, 1014, 1516, 5399, 1049, 18334, 27054, 16040, 6014, 1909, 21400, 2457, 15501, 1304, 21598, 14895, 1009, 2079, 13048, 1316, 1024, 1114, 6442, 16467, 3816, 20171, 2200, 1318, 1026, 19346, 10629, 1054, 2971, 1009, 3149, 1009, 5614, 29, 1114, 4769, 1060, 27475, 2538, 20617, 1685, 1344, 2150, 1767, 1042, 1171, 1051, 2124, 4567, 1060, 13005, 1582, 3405, 2390, 86, 1672, 1026, 5086, 1304, 7212, 14895, 6139, 1048, 1770, 1461, 1054, 5215, 5770, 1224, 1944, 6500, 16967, 1896, 8752, 27089, 1140, 1150, 7022, 1187, 1073, 3247, 1544, 10811, 1026, 1048, 1264, 2521, 1009, 3124, 20, 22753, 1589, 1114, 6442, 16467, 3816, 152, 2457, 1072, 4657, 1009, 3394, 72, 1100, 1072, 8277, 1344, 1061, 30720, 80, 2564, 675, 6555, 2965, 2877, 1102, 22565, 1356, 15110, 13700, 21077, 1, 24443, 3713, 17107, 2322, 1096, 1026, 17371, 5512, 3077, 1060, 29628, 5092, 24443, 3713, 18, 1060, 14609, 1082, 49, 7411, 18, 3941, 1054, 3370, 1009, 3917, 2286, 7057, 9793, 1079, 1006, 4214, 1009, 3886, 1910, 11925, 1005, 3661, 1026, 12221, 1009, 5804, 1009, 5638, 1060, 1683, 3936, 8762, 6220, 7177, 3077, 6559, 1006, 4455, 1009, 7236, 1423, 13988, 4140, 1106, 2816, 11099, 1930, 20884, 7873, 1126, 8946, 1077, 1006, 5033, 4226, 1236, 1005, 1431, 1055, 2597, 77, 14339, 1114, 23442, 2034, 8804, 3793, 1203, 4852, 1009, 9843, 1406, 18063, 1118, 27138, 1623, 1005, 2951, 20873, 1497, 1054, 1082, 1053, 1406, 1009, 6969, 7996, 18, 16240, 1318, 6660, 1294, 11451, 7339, 1157, 1009, 9843, 13531, 15, 1005, 12868, 1009, 11035, 16484, 1349, 10663, 1658, 6929, 5738, 2350, 11788, 8804, 1318, 16240, 6660, 1072, 2743, 24443, 3713, 1479, 22029, 20499, 10245, 1009, 3973, 22657, 1009, 8696, 675, 1537, 7046, 1009, 2423, 12767, 22912, 10742, 12768, 1357, 1082, 49, 7411, 10742, 1054, 4397, 7512, 10742, 1009, 3917, 10742, 12772, 1118, 1482, 4257, 16668, 10742, 12772, 1118, 20446, 14413, 10742, 12772, 1118, 1106, 2816, 12636, 1, 5393, 1157, 17417, 1374, 1590, 3294, 1064, 17592, 84, 1096, 1026, 5512, 3077, 1009, 7420, 1049, 3957, 5923, 27225, 2878, 3893, 23991, 1054, 2971, 1009, 3149, 1009, 8925, 1357, 14609, 1313, 15861, 7411, 20, 21612, 1132, 7002, 1048, 5036, 1751, 3019, 12930, 1826, 1132, 17521, 4954, 158, 80, 2192, 2614, 1439, 1406, 21918, 5561, 1972, 1136, 1009, 1142, 82, 3570, 1406, 7233, 1425, 1188, 1198, 1431, 1123, 1441, 2681, 1406, 1006, 6116, 5786, 6124, 1005, 3807, 82, 1123, 1631, 80, 1062, 1843, 175, 1406, 12639, 1054, 1044, 3124, 2733, 32, 1511, 1026, 16750, 1134, 2048, 2458, 92, 1153, 7035, 1235, 3372, 1511, 6117, 20, 2013, 1318, 1006, 6559, 1049, 18382, 21381, 26231, 1626, 1159, 16515, 2751, 1072, 3957, 1879, 2417, 2845, 1044, 2729, 3041, 1009, 19153, 1005, 9626, 1412, 3398, 25197, 1048, 18811, 1412, 1072, 1235, 2511, 4711, 1049, 3077, 5393, 1157, 17417, 1374, 1590, 3294, 1064, 17592, 84, 1256, 1138, 2017, 28465, 3941, 2125, 1646, 1846, 1009, 675, 122, 42, 168, 1222, 1151, 18053, 10368, 17417, 1028, 79, 166, 1010, 37, 1195, 8220, 1213, 2999, 17949, 1054, 3186, 19879, 2034, 2518, 2001, 1049, 6612, 6470, 1043, 1048, 1006, 3688, 26078, 2049, 14832, 1009, 5638, 1005, 31678, 1054, 2539, 13705, 20295, 1054, 6019, 1009, 1422, 2744, 1009, 11925, 3133, 6116, 1048, 5510, 1026, 1720, 3019, 3077, 1096, 1094, 7419, 1213, 12632, 1185, 1291, 17401, 31207, 23259, 1054, 1224, 6711, 1114, 1641, 1009, 1842, 1241, 6630, 18, 1072, 1531, 3295, 1009, 3049, 1009, 10434, 18546, 17566, 1009, 8925, 10742, 1009, 2878, 150, 10742, 1009, 1865, 19314, 10742, 1009, 7204, 10742, 1009, 2423, 29599, 10742, 1054, 4397, 6414, 1524, 1685, 10222, 7517, 1394, 9790, 1009, 17401, 14031, 1, 29850, 26352, 1047, 5196, 1226, 4419, 1292, 4228, 1179, 1937, 675, 1175, 14844, 6190, 1195, 1044, 18161, 24152, 10212, 1009, 1094, 2531, 11215, 7587, 1576, 1396, 1447, 1091, 1006, 1094, 2531, 11215, 1009, 2332, 13140, 1233, 1428, 1318, 22265, 1026, 5548, 2410, 12152, 1128, 1019, 1131, 85, 5196, 1226, 4419, 1292, 2149, 5871, 26, 15016, 4990, 1565, 2200, 5810, 1054, 2978, 1009, 3049, 1009, 1578, 5402, 1009, 25313, 1270, 1047, 1005, 1060, 11215, 27724, 1219, 1034, 1082, 9711, 1078, 8871, 1054, 26814, 3889, 1126, 1571, 1006, 2531, 1836, 9245, 1140, 1118, 9511, 1009, 2011, 11499, 91, 3372, 3842, 1393, 1044, 3910, 5333, 1072, 2671, 1043, 1026, 16032, 1069, 21598, 14895, 15, 10774, 1006, 3248, 5500, 1921, 1049, 10109, 1006, 4809, 12883, 1079, 1006, 2332, 3728, 1005, 20779, 15824, 1026, 3419, 1072, 14207, 17531, 12277, 2124, 17287, 1435, 1224, 6607, 2094, 4644, 16469, 1456, 5364, 1072, 26264, 1004, 22944, 1577, 1009, 15934, 1021, 24192, 7728, 2309, 22238, 26353, 1016, 2124, 3735, 1026, 5333, 1009, 10031, 1060, 18483, 1009, 4847, 83, 3728, 1072, 6956, 16372, 19908, 16028, 2793, 3441, 1100, 1054, 9856, 24, 6580, 1049, 1572, 21234, 19817, 5193, 2124, 7731, 6021, 1224, 1834, 5687, 17262, 1114, 3861, 2620, 3424, 3126, 23396, 24759, 1054, 8941, 1054, 2457, 6734, 2250, 1996, 1009, 15266, 3404, 4844, 12304, 1079, 1456, 5364, 1005, 1058, 14070, 1054, 2899, 2404, 1005, 1098, 2015, 1035, 1295, 675, 1379, 9308, 6339, 5196, 1226, 4419, 1292, 1836, 9763, 1068, 4845, 1233, 24660, 1009, 2332, 3728, 1005, 14126, 18608, 26722, 1309, 1026, 8985, 18779, 1156, 16348, 1048, 1996, 1009, 13182, 1213, 1067, 1185, 26734, 2284, 2281, 10629, 1114, 1641, 1009, 3394, 10257, 1126, 19138, 1009, 4236, 1006, 2531, 5196, 1226, 4419, 10251, 16724, 1079, 5193, 1049, 18608, 4376, 1005, 2257, 5193, 20779, 5408, 1114, 7299, 1009, 24095, 23857, 4156, 1391, 1068, 5364, 1009, 24516, 1005, 10374, 6579, 2124, 1482, 10565, 2084, 1026, 8985, 18779, 22674, 1026, 17803, 26106, 5831, 1060, 29677, 1009, 1764, 4763, 20, 1482, 675, 3475, 1006, 1663, 1751, 1060, 7245, 1883, 1174, 13776, 1365, 1132, 6560, 156, 3020, 4781, 1010, 2067, 5157, 1206, 4473, 1132, 2848, 1244, 82, 1166, 1048, 2280, 1648, 1026, 1883, 6637, 75, 1054, 1235, 2011, 10774, 1006, 12447, 1213, 15217, 1049, 8985, 13700, 21077, 24497, 21566, 5196, 1226, 4419, 1292, 1195, 6738, 1831, 1244, 11835, 8640, 2274, 1846, 1082, 1517, 5476, 1009, 4490, 2242, 1149, 21325, 28, 1565, 1505, 9209, 1060, 11710, 1112, 1009, 10039, 6297, 1060, 17273, 5323, 1713, 1054, 2457, 1195, 9966, 1006, 14561, 1159, 1026, 1831, 2345, 1188, 1060, 1482, 21839, 18480, 1517, 8162, 1049, 8842, 1377, 4419, 3506, 1043, 1094, 24174, 1582, 18035, 32, 1195, 24174, 1905, 1043, 1006, 6320, 1009, 3584, 2376, 1377, 1482, 1578, 4325, 5749, 7778, 1060, 28790, 1187, 1123, 29647, 1482, 5614, 23, 9038, 1026, 5333, 1009, 6134, 1060, 4338, 21598, 2954, 3336, 7630, 1224, 1834, 3241, 14691, 17262, 1054, 14844, 1264, 9905, 1026, 3479, 1009, 1587, 2834, 11251, 16680, 1060, 17162, 1009, 4847, 83, 13140, 5333, 1172, 17011, 6434, 13551, 1118, 24638, 1301, 11714, 1034, 1072, 2738, 1049, 3009, 14384, 3942, 2985, 1105, 1939, 23673, 8287, 8450, 1009, 5614, 2534, 1026, 8985, 13700, 21077, 1026, 17803, 18161, 1098, 6886, 1164, 9308, 10179, 1079, 4345, 1224, 17621, 1072, 2985, 1105, 1939, 23673, 8287, 8450, 1009, 4658, 2081, 10275, 1435, 6256, 1026, 3479, 1009, 30209, 5166, 20417, 1469, 85, 675, 1009, 3584, 3512, 1054, 7601, 2060, 675, 8385, 675, 1006, 675, 2124, 28883, 1079, 1026, 5333, 1009, 6134, 1009, 12935, 1049, 4632, 1009, 1683, 19834, 4565, 1134, 16931, 1005, 1846, 5749, 6134, 1187, 19294, 4572, 1010, 1049, 18175, 4906, 5333, 1048, 19033, 1495, 7976, 2081, 1511, 1195, 6738, 6134, 1060, 28790, 1049, 21725, 2286, 2457, 1026, 8985, 18779, 1842, 1026, 7600, 1068, 1026, 5333, 1009, 18161, 1868, 17784, 10753, 1060, 3584, 4482, 3394, 9549, 11014, 13057, 1026, 30209, 5196, 1226, 4419, 1292, 19033, 1006, 4799, 8764, 2271, 1006, 3248, 1009, 1764, 18779, 1842, 1495, 1006, 8151, 1049, 8985, 13401, 5324, 1071, 1006, 675, 1565, 1138, 3810, 7355, 1060, 1834, 4345, 1049, 18161, 1195, 1006, 4188, 1049, 5774, 27638, 1009, 21682, 7053, 6229, 1054, 8941, 1114, 5096, 1009, 2457, 1679, 24766, 4844, 4733, 1026, 31147, 18, 1026, 2823, 1195, 31002, 1114, 16214, 1060, 1683, 19834, 4565, 1134, 2262, 1072, 8308, 2129, 17866, 2095, 3818, 2310, 1257, 8822, 8572, 1453, 89, 1409, 2186, 4760, 95, 23911, 21909, 1797, 3082, 12670, 1207, 79, 5990, 1358, 95, 2965, 2877, 1102, 22565, 1356, 15110, 13700, 21077, 20326, 1014, 82, 4189, 1010, 1060, 4482, 10708, 1797, 2877, 1102, 5702, 1085, 20417, 1469, 1010, 1, 15596, 1362, 2878, 13249, 18, 1184, 3201, 1159, 14178, 8725, 159, 19344, 1009, 6850, 2523, 1009, 3261, 1009, 16538, 1349, 1096 ]

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

[ 1, 6562, 21454, 1396, 30644, 1014, 3106, 1012, 1081, 5764, 30644, 30095, 17886, 1009, 2436, 1009, 10666, 2041, 1054, 1180, 177, 1763, 78, 2457, 5704, 1049, 31319, 1175, 2595, 1009, 3353, 1009, 7976, 2084, 1054, 16290, 1937, 12789, 6190, 1195, 1044, 18864, 24152, 15678, 1009, 29644, 1005, 18161, 675, 13231, 3367, 1012, 1081, 30644, 1014, 1516, 3419, 1049, 4868, 1009, 4044, 17897, 28273, 8492, 76, 30644, 1014, 1005, 6650, 1049, 8497, 1009, 1180, 177, 1763, 2975, 11155, 30644, 2652, 2200, 1831, 26931, 1006, 4044, 6661, 1009, 1224, 1641, 11763, 1005, 8139, 25, 2541, 4705, 29, 1060, 23348, 11386, 1509, 19800, 1163, 6426, 9709, 4747, 675, 2457, 1054, 2346, 12222, 2124, 2200, 2276, 12081, 2899, 2404, 10708, 1114, 2828, 1009, 20278, 84, 7473, 1005, 1846, 1114, 2828, 1009, 7377, 84, 2124, 1482, 7377, 7076, 18572, 1054, 1578, 4160, 1114, 9705, 8206, 1009, 6900, 16938, 1431, 1907, 1175, 57, 1029, 2275, 4733, 1006, 4581, 4884, 1072, 26264, 1009, 2346, 11038, 1264, 3661, 1054, 1101, 1009, 3042, 1009, 1578, 9132, 1054, 29644, 7814, 1112, 14055, 90, 1672, 7731, 1578, 4655, 7687, 1159, 4868, 1009, 9403, 1054, 6152, 3933, 1571, 1264, 25476, 1424, 1398, 1304, 3680, 16040, 1699, 3217, 1081, 18412, 60, 1195, 17690, 1264, 1578, 4829, 1054, 1128, 177, 72, 23043, 4942, 2045, 23408, 4567, 1048, 1235, 5975, 1009, 1578, 4325, 1068, 1094, 11270, 5134, 1007, 1054, 7377, 84, 1160, 1195, 1680, 10952, 2647, 17803, 5193, 18864, 8664, 12105, 1344, 1656, 1032, 96, 1072, 1592, 1901, 1068, 1026, 6043, 1637, 1060, 27658, 1054, 29644, 8000, 1901, 5738, 1054, 2322, 1009, 3403, 1009, 8931, 2534, 30644, 1014, 1195, 6738, 18334, 13475, 1637, 1009, 1156, 1075, 79, 10484, 1005, 18334, 17906, 4598, 1009, 2346, 21043, 1063, 7814, 1112, 3405, 25303, 3765, 6256, 1054, 1083, 1009, 2436, 1049, 1592, 1901, 1026, 18864, 8664, 12105, 1344, 1656, 1032, 96, 33, 1766, 13007, 13005, 11053, 1596, 3167, 2477, 1093, 2695, 1014, 1736, 89, 2457, 18334, 1009, 3769, 1014, 9725, 2457, 1005, 15547, 2552, 1041, 1051, 2457, 18334, 17906, 4598, 1054, 8940, 1014, 675, 12561, 1009, 5614, 27, 4660, 29149, 21377, 1051, 1195, 4970, 2166, 1048, 27352, 12500, 1060, 27658, 1049, 10629, 10760, 1054, 1675, 1009, 3113, 1009, 4658, 24, 2523, 1009, 1984, 7533, 18864, 1009, 2346, 11038, 1048, 1195, 6738, 1054, 3727, 1009, 9195, 4658, 24, 2800, 6752, 10629, 1048, 2257, 1054, 29325, 1054, 20278, 84, 7473, 2457, 5614, 23, 1054, 1073, 7486, 72, 1320, 1005, 31621, 1054, 1766, 84, 1182, 88, 177, 3084, 1058, 14447, 1005, 1062, 1899, 1692, 1463, 14883, 1049, 29436, 12500, 1060, 2542, 1171, 9464, 1309, 1195, 8234, 1140, 4202, 1356, 2671, 1060, 2677, 5123, 2275, 8985, 13700, 21077, 20, 4715, 5193, 1054, 3404, 1009, 3370, 1009, 4658, 25, 1159, 14809, 18161, 1043, 1006, 6661, 8977, 1009, 2242, 79, 1144, 1281, 85, 1970, 17120, 1061, 4463, 1072, 12333, 1187, 1868, 1131, 1102, 74, 4559, 20, 2200, 6580, 1049, 1572, 27638, 1054, 4658, 25, 2457, 1048, 27352, 18779, 1842, 1213, 15110, 1879, 18864, 26176, 1195, 1026, 1831, 1006, 26179, 1132, 10328, 1009, 1235, 29193, 1017, 1114, 4946, 1009, 14055, 2917, 1005, 6192, 1233, 1090, 6226, 2618, 1009, 4581, 1049, 18161, 1344, 1656, 1032, 14370, 7509, 18861, 1318, 4064, 1006, 1044, 23494, 2024, 2999, 1043, 1026, 15591, 1060, 6661, 1009, 7377, 7076, 15547, 4568, 88, 28974, 1678, 1048, 1998, 3012, 1178, 23566, 1357, 11061, 1049, 4813, 1060, 22389, 1048, 2257, 1026, 18864, 1054, 1235, 15682, 30644, 1014, 16447, 1079, 1009, 1871, 1184, 1884, 1441, 1091, 1114, 6915, 25221, 2457, 1571, 1264, 2521, 4600, 1118, 27890, 1957, 5075, 1104, 1021, 4486, 3110, 11807, 1014, 7600, 1026, 23240, 1468, 1009, 2346, 11038, 30660, 2946, 4041, 1068, 2711, 150, 19, 2579, 1322, 13390, 12128, 80, 2783, 1392, 2453, 1049, 1373, 1471, 1060, 1886, 22338, 1009, 2346, 11038, 1264, 1160, 9090, 12257, 5990, 1616, 1005, 2276, 2468, 1461, 5567, 1717, 11249, 5153, 2946, 4041, 1989, 1195, 1026, 2535, 1054, 2156, 16044, 3110, 11807, 1870, 1048, 5658, 1009, 14171, 21117, 6229, 1054, 2595, 1009, 3353, 1009, 21675, 1054, 12712, 16290, 1937, 12789, 2457, 1571, 1195, 1213, 1015, 2002, 2124, 9049, 16803, 26532, 1596, 6984, 1402, 1068, 29644, 1005, 17407, 3500, 7084, 1072, 29954, 3405, 25303, 1060, 17162, 1009, 29644, 675, 1879, 30209, 6562, 5764, 30644, 1014, 1516, 5399, 1049, 18334, 27054, 16040, 6014, 1909, 21400, 2457, 15501, 1304, 21598, 14895, 1009, 2079, 13048, 1316, 1024, 1114, 6442, 16467, 3816, 20171, 2200, 1318, 1026, 19346, 10629, 1054, 2971, 1009, 3149, 1009, 5614, 29, 1114, 4769, 1060, 27475, 2538, 20617, 1685, 1344, 2150, 1767, 1042, 1171, 1051, 2124, 4567, 1060, 13005, 1582, 3405, 2390, 86, 1672, 1026, 5086, 1304, 7212, 14895, 6139, 1048, 1770, 1461, 1054, 5215, 5770, 1224, 1944, 6500, 16967, 1896, 8752, 27089, 1140, 1150, 7022, 1187, 1073, 3247, 1544, 10811, 1026, 1048, 1264, 2521, 1009, 3124, 20, 22753, 1589, 1114, 6442, 16467, 3816, 152, 2457, 1072, 4657, 1009, 3394, 72, 1100, 1072, 8277, 1344, 1061, 30720, 80, 2564, 675, 6555, 2965, 2877, 1102, 22565, 1356, 15110, 13700, 21077, 1, 24443, 3713, 17107, 2322, 1096, 1026, 17371, 5512, 3077, 1060, 29628, 5092, 24443, 3713, 18, 1060, 14609, 1082, 49, 7411, 18, 3941, 1054, 3370, 1009, 3917, 2286, 7057, 9793, 1079, 1006, 4214, 1009, 3886, 1910, 11925, 1005, 3661, 1026, 12221, 1009, 5804, 1009, 5638, 1060, 1683, 3936, 8762, 6220, 7177, 3077, 6559, 1006, 4455, 1009, 7236, 1423, 13988, 4140, 1106, 2816, 11099, 1930, 20884, 7873, 1126, 8946, 1077, 1006, 5033, 4226, 1236, 1005, 1431, 1055, 2597, 77, 14339, 1114, 23442, 2034, 8804, 3793, 1203, 4852, 1009, 9843, 1406, 18063, 1118, 27138, 1623, 1005, 2951, 20873, 1497, 1054, 1082, 1053, 1406, 1009, 6969, 7996, 18, 16240, 1318, 6660, 1294, 11451, 7339, 1157, 1009, 9843, 13531, 15, 1005, 12868, 1009, 11035, 16484, 1349, 10663, 1658, 6929, 5738, 2350, 11788, 8804, 1318, 16240, 6660, 1072, 2743, 24443, 3713, 1479, 22029, 20499, 10245, 1009, 3973, 22657, 1009, 8696, 675, 1537, 7046, 1009, 2423, 12767, 22912, 10742, 12768, 1357, 1082, 49, 7411, 10742, 1054, 4397, 7512, 10742, 1009, 3917, 10742, 12772, 1118, 1482, 4257, 16668, 10742, 12772, 1118, 20446, 14413, 10742, 12772, 1118, 1106, 2816, 12636, 1, 5393, 1157, 17417, 1374, 1590, 3294, 1064, 17592, 84, 1096, 1026, 5512, 3077, 1009, 7420, 1049, 3957, 5923, 27225, 2878, 3893, 23991, 1054, 2971, 1009, 3149, 1009, 8925, 1357, 14609, 1313, 15861, 7411, 20, 21612, 1132, 7002, 1048, 5036, 1751, 3019, 12930, 1826, 1132, 17521, 4954, 158, 80, 2192, 2614, 1439, 1406, 21918, 5561, 1972, 1136, 1009, 1142, 82, 3570, 1406, 7233, 1425, 1188, 1198, 1431, 1123, 1441, 2681, 1406, 1006, 6116, 5786, 6124, 1005, 3807, 82, 1123, 1631, 80, 1062, 1843, 175, 1406, 12639, 1054, 1044, 3124, 2733, 32, 1511, 1026, 16750, 1134, 2048, 2458, 92, 1153, 7035, 1235, 3372, 1511, 6117, 20, 2013, 1318, 1006, 6559, 1049, 18382, 21381, 26231, 1626, 1159, 16515, 2751, 1072, 3957, 1879, 2417, 2845, 1044, 2729, 3041, 1009, 19153, 1005, 9626, 1412, 3398, 25197, 1048, 18811, 1412, 1072, 1235, 2511, 4711, 1049, 3077, 5393, 1157, 17417, 1374, 1590, 3294, 1064, 17592, 84, 1256, 1138, 2017, 28465, 3941, 2125, 1646, 1846, 1009, 675, 122, 42, 168, 1222, 1151, 18053, 10368, 17417, 1028, 79, 166, 1010, 37, 1195, 8220, 1213, 2999, 17949, 1054, 3186, 19879, 2034, 2518, 2001, 1049, 6612, 6470, 1043, 1048, 1006, 3688, 26078, 2049, 14832, 1009, 5638, 1005, 31678, 1054, 2539, 13705, 20295, 1054, 6019, 1009, 1422, 2744, 1009, 11925, 3133, 6116, 1048, 5510, 1026, 1720, 3019, 3077, 1096, 1094, 7419, 1213, 12632, 1185, 1291, 17401, 31207, 23259, 1054, 1224, 6711, 1114, 1641, 1009, 1842, 1241, 6630, 18, 1072, 1531, 3295, 1009, 3049, 1009, 10434, 18546, 17566, 1009, 8925, 10742, 1009, 2878, 150, 10742, 1009, 1865, 19314, 10742, 1009, 7204, 10742, 1009, 2423, 29599, 10742, 1054, 4397, 6414, 1524, 1685, 10222, 7517, 1394, 9790, 1009, 17401, 14031, 1, 29850, 26352, 1047, 5196, 1226, 4419, 1292, 4228, 1179, 1937, 675, 1175, 14844, 6190, 1195, 1044, 18161, 24152, 10212, 1009, 1094, 2531, 11215, 7587, 1576, 1396, 1447, 1091, 1006, 1094, 2531, 11215, 1009, 2332, 13140, 1233, 1428, 1318, 22265, 1026, 5548, 2410, 12152, 1128, 1019, 1131, 85, 5196, 1226, 4419, 1292, 2149, 5871, 26, 15016, 4990, 1565, 2200, 5810, 1054, 2978, 1009, 3049, 1009, 1578, 5402, 1009, 25313, 1270, 1047, 1005, 1060, 11215, 27724, 1219, 1034, 1082, 9711, 1078, 8871, 1054, 26814, 3889, 1126, 1571, 1006, 2531, 1836, 9245, 1140, 1118, 9511, 1009, 2011, 11499, 91, 3372, 3842, 1393, 1044, 3910, 5333, 1072, 2671, 1043, 1026, 16032, 1069, 21598, 14895, 15, 10774, 1006, 3248, 5500, 1921, 1049, 10109, 1006, 4809, 12883, 1079, 1006, 2332, 3728, 1005, 20779, 15824, 1026, 3419, 1072, 14207, 17531, 12277, 2124, 17287, 1435, 1224, 6607, 2094, 4644, 16469, 1456, 5364, 1072, 26264, 1004, 22944, 1577, 1009, 15934, 1021, 24192, 7728, 2309, 22238, 26353, 1016, 2124, 3735, 1026, 5333, 1009, 10031, 1060, 18483, 1009, 4847, 83, 3728, 1072, 6956, 16372, 19908, 16028, 2793, 3441, 1100, 1054, 9856, 24, 6580, 1049, 1572, 21234, 19817, 5193, 2124, 7731, 6021, 1224, 1834, 5687, 17262, 1114, 3861, 2620, 3424, 3126, 23396, 24759, 1054, 8941, 1054, 2457, 6734, 2250, 1996, 1009, 15266, 3404, 4844, 12304, 1079, 1456, 5364, 1005, 1058, 14070, 1054, 2899, 2404, 1005, 1098, 2015, 1035, 1295, 675, 1379, 9308, 6339, 5196, 1226, 4419, 1292, 1836, 9763, 1068, 4845, 1233, 24660, 1009, 2332, 3728, 1005, 14126, 18608, 26722, 1309, 1026, 8985, 18779, 1156, 16348, 1048, 1996, 1009, 13182, 1213, 1067, 1185, 26734, 2284, 2281, 10629, 1114, 1641, 1009, 3394, 10257, 1126, 19138, 1009, 4236, 1006, 2531, 5196, 1226, 4419, 10251, 16724, 1079, 5193, 1049, 18608, 4376, 1005, 2257, 5193, 20779, 5408, 1114, 7299, 1009, 24095, 23857, 4156, 1391, 1068, 5364, 1009, 24516, 1005, 10374, 6579, 2124, 1482, 10565, 2084, 1026, 8985, 18779, 22674, 1026, 17803, 26106, 5831, 1060, 29677, 1009, 1764, 4763, 20, 1482, 675, 3475, 1006, 1663, 1751, 1060, 7245, 1883, 1174, 13776, 1365, 1132, 6560, 156, 3020, 4781, 1010, 2067, 5157, 1206, 4473, 1132, 2848, 1244, 82, 1166, 1048, 2280, 1648, 1026, 1883, 6637, 75, 1054, 1235, 2011, 10774, 1006, 12447, 1213, 15217, 1049, 8985, 13700, 21077, 24497, 21566, 5196, 1226, 4419, 1292, 1195, 6738, 1831, 1244, 11835, 8640, 2274, 1846, 1082, 1517, 5476, 1009, 4490, 2242, 1149, 21325, 28, 1565, 1505, 9209, 1060, 11710, 1112, 1009, 10039, 6297, 1060, 17273, 5323, 1713, 1054, 2457, 1195, 9966, 1006, 14561, 1159, 1026, 1831, 2345, 1188, 1060, 1482, 21839, 18480, 1517, 8162, 1049, 8842, 1377, 4419, 3506, 1043, 1094, 24174, 1582, 18035, 32, 1195, 24174, 1905, 1043, 1006, 6320, 1009, 3584, 2376, 1377, 1482, 1578, 4325, 5749, 7778, 1060, 28790, 1187, 1123, 29647, 1482, 5614, 23, 9038, 1026, 5333, 1009, 6134, 1060, 4338, 21598, 2954, 3336, 7630, 1224, 1834, 3241, 14691, 17262, 1054, 14844, 1264, 9905, 1026, 3479, 1009, 1587, 2834, 11251, 16680, 1060, 17162, 1009, 4847, 83, 13140, 5333, 1172, 17011, 6434, 13551, 1118, 24638, 1301, 11714, 1034, 1072, 2738, 1049, 3009, 14384, 3942, 2985, 1105, 1939, 23673, 8287, 8450, 1009, 5614, 2534, 1026, 8985, 13700, 21077, 1026, 17803, 18161, 1098, 6886, 1164, 9308, 10179, 1079, 4345, 1224, 17621, 1072, 2985, 1105, 1939, 23673, 8287, 8450, 1009, 4658, 2081, 10275, 1435, 6256, 1026, 3479, 1009, 30209, 5166, 20417, 1469, 85, 675, 1009, 3584, 3512, 1054, 7601, 2060, 675, 8385, 675, 1006, 675, 2124, 28883, 1079, 1026, 5333, 1009, 6134, 1009, 12935, 1049, 4632, 1009, 1683, 19834, 4565, 1134, 16931, 1005, 1846, 5749, 6134, 1187, 19294, 4572, 1010, 1049, 18175, 4906, 5333, 1048, 19033, 1495, 7976, 2081, 1511, 1195, 6738, 6134, 1060, 28790, 1049, 21725, 2286, 2457, 1026, 8985, 18779, 1842, 1026, 7600, 1068, 1026, 5333, 1009, 18161, 1868, 17784, 10753, 1060, 3584, 4482, 3394, 9549, 11014, 13057, 1026, 30209, 5196, 1226, 4419, 1292, 19033, 1006, 4799, 8764, 2271, 1006, 3248, 1009, 1764, 18779, 1842, 1495, 1006, 8151, 1049, 8985, 13401, 5324, 1071, 1006, 675, 1565, 1138, 3810, 7355, 1060, 1834, 4345, 1049, 18161, 1195, 1006, 4188, 1049, 5774, 27638, 1009, 21682, 7053, 6229, 1054, 8941, 1114, 5096, 1009, 2457, 1679, 24766, 4844, 4733, 1026, 31147, 18, 1026, 2823, 1195, 31002, 1114, 16214, 1060, 1683, 19834, 4565, 1134, 2262, 1072, 8308, 2129, 17866, 2095, 3818, 2310, 1257, 8822, 8572, 1453, 89, 1409, 2186, 4760, 95, 23911, 21909, 1797, 3082, 12670, 1207, 79, 5990, 1358, 95, 2965, 2877, 1102, 22565, 1356, 15110, 13700, 21077, 20326, 1014, 82, 4189, 1010, 1060, 4482, 10708, 1797, 2877, 1102, 5702, 1085, 20417, 1469, 1010, 1, 15596, 1362, 2878, 13249, 18, 1184, 3201, 1159, 14178, 8725, 159, 19344, 1009, 6850, 2523, 1009, 3261, 1009, 16538, 1349, 1096 ]

[ 7844, 15240, 32, 16144, 1009, 10173, 17427, 12827, 1615, 33, 1084, 18929, 1009, 7442, 1009, 1791, 22503, 2711, 1166, 33, 11063, 22503, 8119, 12172, 1213, 7310, 44, 21, 27486, 48, 25080, 10479, 3929, 7736, 3003, 12350, 1734, 22503, 8119, 12172, 1213, 7310, 44, 2135, 27486, 48, 33, 5236, 2244, 1112, 1049, 7137, 3092, 1068, 1026, 9650, 6806, 1511, 19116, 1114, 6115, 1845, 72, 5854, 1272, 32, 2769, 2904, 31311, 22826, 2545, 2818, 1073, 21270, 39, 1180, 6767, 135, 42, 9761, 11029, 11779, 15240, 32, 1123, 4186, 3071, 139, 13746, 1067, 24932, 132, 16073, 3924, 1144, 4517, 23983, 18, 1123, 4186, 3071, 139, 13746, 7680, 2982, 26225, 13889, 1144, 4517, 23983, 1084, 1123, 4186, 3071, 139, 13746, 24355, 13561, 11326, 3083, 9435, 7988, 2980, 29773, 2904, 31311, 22826, 2545, 2818, 11779, 15240, 21, 18797, 135, 41, 5356, 18029, 1123, 2606, 11743, 3642, 18, 1106, 30117, 7988, 2980, 29773, 18, 1138, 41, 2713, 56, 30925, 6125, 2545, 2818, 1123, 22268, 16045, 1084, 1134, 6767, 3924, 18, 1119, 54, 60, 3071, 18, 1163, 4071, 60, 2805, 6854, 1084, 1067, 2321, 10274, 3831, 1691, 1031, 1035, 2737, 4676, 1063, 22057, 24149, 1096, 1094, 3444, 1009, 7402, 23504, 1009, 6296, 28716, 1314, 5157, 1666, 1526, 1054, 2220, 1026, 6220, 25630, 1197, 1679, 13935, 1005, 15654, 10945, 1026, 10472, 1009, 3233, 1698, 1456, 13248, 20, 25630, 1197, 16554, 6958, 3400, 1177, 1118, 13707, 15, 1009, 11717, 1054, 1664, 1132, 1456, 6543, 1068, 1132, 10945, 1060, 8517, 8371, 54, 25382, 1626, 1145, 1060, 13887, 32, 25630, 1197, 15269, 1009, 11717, 1463, 5118, 1728, 1071, 6991, 19, 4990, 5940, 25799, 6418, 1479, 4942, 7236, 4013, 15, 25382, 1626, 1145, 2591, 14662, 1585, 1145, 1009, 8785, 1436, 32, 1083, 2338, 4364, 1085, 1500, 1034, 1005, 2591, 1164, 14108, 3773, 1230, 33, 24739, 16624, 1016, 1005, 5290, 21977, 1391, 1305, 7686, 1093, 33, 23914, 30767, 1380, 90, 1085, 169, 1012, 1221, 13720, 26241, 1009, 2978, 1006, 8060, 3952, 33, 21611, 1010, 1187, 2193, 11103, 1932, 27724, 1085, 169, 1012, 1391, 1043, 1495, 8934, 1009, 11717, 33, 2878, 1088, 8806, 26892, 3873, 1219, 8747, 15, 1043, 11717, 1009, 6617, 10390, 1101, 3375, 1130, 17444, 5217, 1066, 12214, 1061, 1684, 1139, 6146, 1005, 7746, 17444, 2591, 1164, 4640, 29813, 24739, 16624, 1016, 1005, 5290, 21977, 1391, 1305, 7686, 1093, 1068, 1132, 7213, 1054, 4618, 27724, 1085, 169, 1012, 5345, 23914, 7746, 17444, 1043, 31547, 1361, 1005, 4034, 6880, 1009, 5496, 2964, 1166, 1054, 1495, 2224, 18973, 27549, 20532, 1120, 1085, 1500, 1034, 33, 24739, 7746, 17444, 1043, 1495, 13063, 1009, 11717, 1005, 4034, 6880, 1009, 27716, 2147, 20, 1422, 15, 1134, 1081, 5385, 1302, 1061, 9393, 1005, 7321, 12258, 1138, 1615, 33, 24739, 2985, 3485, 1068, 8590, 11594, 2408, 1043, 1495, 13063, 1009, 5822, 1667, 23914, 7746, 2984, 1242, 1043, 10591, 1005, 4034, 6880, 1009, 5496, 1054, 1495, 2224, 18973, 1422, 15, 2320, 1021, 1145, 5464, 33, 16624, 1016, 1043, 1495, 3886, 4925, 1009, 5822, 1667, 1487, 15, 1084, 1077, 15218, 1034, 33, 58, 1485, 2147, 1043, 18282, 1048, 16129, 1009, 18208, 1006, 3886, 10390, 3072, 4676, 1766, 6022, 1048, 17901, 1159, 2068, 1068, 1132, 22179, 1187, 18282, 1327, 1132, 6475, 1166, 1357, 18857, 1049, 5019, 8516, 1009, 31375, 23917, 1071, 6991, 19, 4990, 25, 2023, 25, 2704, 27, 1479, 3314, 2260, 3377, 42, 5555, 1461, 10437, 32, 2430, 1331, 85, 1009, 15269, 1068, 2451, 18431, 1005, 6044, 20, 1071, 6991, 19, 4990, 25, 2023, 25, 4700, 30, 1479, 3381, 4243, 3377, 42, 5555, 1461, 6158, 32, 2430, 1331, 85, 1009, 26449, 1054, 10880, 1068, 1067, 15160, 1005, 19831, 17334, 1071, 6991, 19, 4990, 25, 2023, 26, 2621, 1479, 9535, 2673, 3377, 50, 2891, 7376, 16783, 1505, 152, 32, 1424, 11717, 1009, 26449, 13825, 1021, 3304, 1118, 13707, 1349, 1068, 2376, 1828, 9872, 18652, 1392, 1054, 16783, 1505, 20171, 1071, 6991, 19, 4990, 25, 2023, 1839, 6101, 1479, 4942, 7626, 3377, 46, 3157, 1897, 23847, 9684, 32, 2430, 1331, 85, 1009, 15269, 1294, 4496, 3140, 32, 16624, 1016, 11716, 33, 19896, 2147, 33, 2854, 1394, 33, 7746, 2984, 1242, 10582, 33, 22225, 1009, 2376, 1828, 9872, 2320, 1021, 1145, 33, 1123, 13646, 1842, 33, 1128, 28595, 2172, 1219, 1525, 1005, 5122, 3656, 6208, 1221, 1038, 3424, 1071, 4406, 6991, 19, 4406, 3663, 1479, 6916, 15, 1, 3032, 1187, 1073, 3434, 1051, 2972, 32, 6307, 6809, 1185, 75, 1159, 1026, 1531, 2005, 1060, 5242, 1009, 2125, 5729, 13636, 8, 1576, 57, 6809, 1185, 75, 1159, 1026, 1531, 2005, 1060, 5242, 1009, 2125, 5729, 13636, 8, 1605, 7778, 13209, 1049, 7822, 54, 9208, 8733, 1048, 1006, 15474, 1049, 6307, 1009, 22439, 1094, 2612, 1009, 1360, 11556, 1068, 1124, 3978, 4274, 1580, 22318, 1159, 1026, 2496, 9464, 1160, 1381, 1680, 3048, 1381, 3010, 8, 1005, 26382, 1492, 6634, 1525, 1132, 22275, 5066, 1480, 22957, 43, 3904, 2364, 1026, 6307, 19013, 1159, 1807, 4375, 11292, 1006, 6222, 1009, 1094, 2612, 1068, 1752, 6117, 22703, 1048, 1298, 1178, 16427, 1511, 3547, 7142, 1578, 4844, 19529, 8356, 2464, 1058, 1026, 2671, 4910, 1993, 1044, 5890, 1118, 3681, 1072, 1345, 9603, 1009, 10465, 1261, 8587, 1213, 2822, 1187, 5494, 1578, 1646, 3179, 1026, 23885, 2429, 1419, 2841, 1048, 5176, 1040, 1406, 4979, 7229, 19944, 1009, 12206, 2098, 1838, 1140, 1118, 3236, 1542, 1255, 83, 1188, 7766, 4116, 1128, 1088, 1577, 24153, 14115, 3413, 2503, 3789, 1361, 11556, 1118, 6117, 22703, 5, 4675, 4839, 1100, 1009, 2317, 4776, 2237, 4375, 25999, 1197, 1006, 6117, 1479, 1026, 2671, 1009, 1334, 1497, 1761, 96, 1361, 11556, 3552, 2612, 1048, 1132, 4090, 1225, 1009, 10012, 2459, 12134, 19217, 4134, 43, 2818, 1119, 27154, 18150, 1073, 30156, 13889, 5640, 4090, 1160, 1693, 2409, 6243, 1026, 3453, 1309, 1026, 4235, 1298, 4441, 4090, 5490, 1032, 1046, 1124, 11189, 1009, 2837, 1006, 18817, 1605, 4235, 17508, 1049, 15068, 4108, 1009, 19241, 0, 1576, 1265, 1166, 31744, 2864, 1026, 5102, 1298, 6530, 1068, 1006, 2612, 1048, 1160, 5662, 3192, 33, 1124, 11189, 1009, 6389, 1009, 2612, 1566, 3684, 11519, 2289, 0, 1, 5139, 13341, 1571, 3306, 15, 1325, 1005, 7181, 1043, 1048, 1264, 1160, 17041, 1117, 2097, 1160, 4347, 12049, 20, 1073, 3340, 11262, 1060, 12739, 1357, 1006, 4281, 1049, 22137, 1357, 7342, 1049, 14812, 2691, 3505, 90, 8864, 1271, 4692, 1273, 1762, 25436, 1124, 2523, 20244, 1106, 1444, 21199, 17630, 3722, 1187, 14675, 9303, 3500, 1005, 1271, 22001, 5, 6741, 1202, 1312, 1118, 10566, 1068, 1048, 1058, 2129, 1092, 1420, 1571, 3306, 15, 5037, 1005, 1048, 1264, 1323, 14199, 1493, 10566, 15890, 1005, 20429, 3659, 6860, 8524, 53, 10473, 20257, 29601, 20, 5139, 3306, 15, 12457, 2766, 2024, 2924, 3271, 1006, 15132, 15500, 3741, 18, 1005, 1048, 1264, 3241, 4101, 1998, 1068, 20280, 1, 2656, 1836, 4445, 5593, 1800, 1094, 4497, 1005, 1616, 1566, 2159, 1393, 1006, 27985, 6027, 1043, 1026, 2380, 23987, 3414, 1182, 1040, 7881, 3616, 1009, 2381, 3890, 2730, 4367, 1009, 5099, 1005, 1841, 1075, 3890, 16499, 1072, 2788, 1060, 7298, 14916, 1005, 1752, 1472, 1048, 27700, 1006, 19641, 1026, 4410, 1566, 1325, 1184, 3910, 37, 1132, 2383, 2162, 4239, 1048, 1616, 1323, 1004, 3893, 15658, 2106, 1132, 2383, 2162, 4239, 7, 1565, 2654, 18502, 1094, 15089, 1005, 1026, 8796, 2092, 20294, 7092, 1836, 1043, 2574, 1557, 1068, 6141, 1114, 3616, 15, 31519, 1009, 11458, 1930, 1309, 1305, 2997, 12265, 12940, 1071, 9231, 88, 88, 88, 3377, 5698, 1009, 1493, 2381, 1930, 3062, 3739, 2602, 6423, 1006, 1044, 1908, 1571, 1566, 18657, 1493, 5450, 1400, 1068, 5574, 2156, 1206, 2125, 4761, 1048, 1620, 1160, 26771, 17689, 1271, 2688, 1837, 1646, 1048, 4647, 1493, 9773, 15, 1005, 12071, 1698, 29565, 4735, 3002, 9212, 7, 6416, 1393, 1006, 6141, 1848, 1006, 28402, 1054, 9195, 20, 2605, 2449, 3970, 4475, 2656, 5192, 1058, 1323, 2155, 13545, 1024, 1715, 5011, 3062, 22877, 1133, 37, 3528, 4732, 1009, 3227, 1160, 9470, 5832, 3819, 4271, 7765, 1202, 8396, 1592, 1048, 1857, 1160, 5036, 3192, 1679, 15315, 2246, 1124, 22500, 1068, 2306, 7181, 2073, 3616, 1717, 15315, 1327, 1493, 1861, 3273, 1327, 1026, 23885, 1009, 30009, 1717, 1044, 2386, 1565, 2605, 1114, 8442, 1327, 1049, 3607, 6255, 1533, 1358, 1089, 1132, 1449, 1035, 1022, 2972, 1175, 12547, 3420, 26807, 27411, 19, 1493, 1493, 25902, 12802, 1927, 1006, 6394, 3629, 31050, 1006, 2208, 1066, 1009, 3453, 7297, 1044, 1908, 12199, 13131, 1309, 19440, 1048, 1261, 1006, 5131, 8522, 1068, 1395, 12415, 1007, 1130, 1009, 11465, 3469, 2246, 1318, 1096, 1493, 20505, 1667, 1084, 2950, 1233, 9272, 1096, 4230, 1261, 7931, 3534, 1417, 1096, 10799, 1422, 1783, 1005, 13054, 1054, 2250, 11707, 1768, 21633, 3010, 1277, 5316, 1554, 1084, 5639, 1305, 14308, 1054, 10420, 3048, 3192, 1049, 9808, 7550, 1973, 1114, 15207, 1160, 29064, 28402, 1309, 1068, 4982, 1006, 3938, 3888, 1005, 6180, 1009, 4236, 1043, 7881, 2706, 6762, 1132, 10420, 1005, 1124, 1569, 1008, 3418, 1021, 8833, 25430, 3882, 6799, 1006, 1751, 2716, 20, 1972, 10312, 5573, 675, 996, 1833, 16457, 1048, 1395, 1863, 1130, 2370, 23982, 3204, 1901, 2449, 1026, 2092, 3152, 13831, 1005, 1620, 1160, 27742, 1026, 1048, 4647, 1663, 1715, 1982, 77, 10594, 37, 17888, 2513, 1157, 1992, 3987, 1871, 1160, 6581, 31938, 1096, 1493, 10854, 6633, 1128, 1219, 1048, 1323, 2997, 2350, 14376, 1322, 1026, 1048, 5381, 2753, 4271, 4065, 18415, 2640, 18, 1048, 2446, 1009, 4761, 21, 1321, 1665, 1074, 19440, 1184, 4961, 15, 1246, 3377, 2959, 1009, 7508, 14684, 1072, 2788, 1060, 7298, 14916, 1005, 1132, 6022, 675, 7142, 9095, 1184, 29635, 1160, 1096, 1998, 9525, 12931, 1126, 5934, 13445, 1063, 4675, 1729, 1006, 1048, 1511, 1039, 2571, 1074, 7508, 1132, 7841, 14684, 1184, 1009, 1094, 5326, 5471, 1026, 1080, 6351, 3950, 1114, 3069, 1455, 2158, 84, 1497, 1068, 1026, 2788, 11886, 3291, 8, 1048, 1096, 1927, 1006, 2921, 3271, 3812, 1219, 2693, 1006, 22056, 1318, 1566, 27079, 1006, 2122, 7018, 3320, 1776, 2535, 2429, 23057, 25901, 1054, 2573, 1006, 1663, 1006, 29793, 5687, 1044, 3481, 1005, 1511, 5039, 21633, 1006, 13595, 1566, 1836, 1184, 1429, 1667, 29653, 1049, 5330, 6215, 1038, 2602, 1048, 1072, 1531, 2511, 1309, 2467, 3706, 2315, 1213, 2011, 3494, 1508, 1663, 1006, 2921, 3780, 1006, 1419, 1026, 1048, 30920, 2275, 1084, 23230, 18, 7981, 1026, 4410, 1184, 18819, 1048, 27131, 4947, 1114, 22515, 20, 1, 2346, 2063, 1365, 2556, 1010, 6733, 22694, 1054, 8308, 1049, 25564, 1152, 2963, 31, 57, 1827, 3390, 23701, 2063, 1365, 2556, 1010, 6733, 22694, 1054, 8308, 1049, 25564, 18597, 5730, 1152, 2978, 10148, 10998, 21881, 8121, 5919, 2922, 1271, 20763, 3019, 12475, 19173, 1044, 7279, 9553, 2156, 22245, 7075, 1195, 13510, 1114, 25742, 3381, 2434, 3801, 2794, 43, 2541, 4700, 16075, 7279, 5687, 3867, 1213, 2559, 3420, 1048, 4145, 3177, 1213, 3338, 1009, 4557, 1258, 1350, 20, 1482, 1094, 1271, 22245, 7075, 3586, 1791, 14950, 1018, 8631, 1049, 3338, 1009, 1764, 11375, 1229, 1566, 1114, 2750, 22245, 16614, 1044, 2792, 1005, 1094, 14650, 5300, 8631, 1009, 8308, 1049, 25564, 20, 1, 1128, 4487, 25505, 1213, 8908, 4009, 5657, 3158, 1529, 3158, 1722, 2555, 4487, 25505, 1213, 8908, 19287, 1226, 1060, 17947, 9469, 3323, 2528, 2224, 1009, 3113, 1009, 4152, 4, 120, 1228, 11040, 1467, 1228, 11040, 1195, 25096, 1072, 4995, 12693, 1049, 26285, 1134, 3071, 44, 19136, 5529, 6682, 5387, 1191, 1221, 1009, 1128, 4487, 10399, 2227, 1060, 2828, 1060, 22860, 18155, 18, 12194, 1357, 1128, 3446, 20577, 3514, 1370, 15609, 8, 2904, 10976, 96, 1049, 1134, 3071, 44, 59, 11040, 1605, 25941, 1271, 1067, 24189, 4153, 1051, 1400, 1072, 23464, 2751, 1060, 1228, 40, 5529, 18712, 1068, 4305, 1006, 2475, 0, 3536, 1049, 1134, 3071, 44, 59, 11040, 20, 3204, 11621, 20892, 13408, 3957, 1009, 1030, 4487, 1048, 3904, 1006, 7927, 1005, 9085, 83, 1068, 2539, 1176, 1191, 4261, 1309, 1096, 1318, 1044, 1884, 15112, 1365, 1030, 4487, 1406, 7845, 19457, 16477, 5972, 3928, 2038, 1014, 1060, 1030, 3446, 3361, 3013, 1704, 11621, 7312, 1043, 1006, 4455, 1271, 1030, 4487, 11288, 3446, 4139, 3446, 30416, 1060, 5411, 8676, 1009, 5673, 1049, 4284, 1349, 1128, 3446, 19905, 43, 3783, 4139, 3446, 30416, 1060, 2828, 1060, 11619, 1349, 23034, 9070, 4139, 3446, 30416, 1060, 5411, 8676, 2638, 22625, 1009, 12237, 1009, 9579, 15, 1005, 23034, 18626, 4139, 3446, 30416, 1049, 4632, 8676, 1009, 2638, 12555, 1565, 1063, 5342, 1271, 1030, 4487, 1006, 7927, 2068, 2923, 1114, 5286, 1009, 1030, 4487, 1271, 4320, 3905, 19480, 12867, 1049, 6402, 1009, 3756, 1006, 17302, 83, 3570, 1005, 14834, 3033, 1026, 4318, 1009, 13274, 1005, 14541, 1406, 2612, 19457, 26055, 5613, 1030, 4487, 7287, 29958, 2309, 1176, 20049 ]

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

[ 7844, 15240, 32, 16144, 1009, 10173, 17427, 12827, 1615, 33, 1084, 18929, 1009, 7442, 1009, 1791, 22503, 2711, 1166, 33, 11063, 22503, 8119, 12172, 1213, 7310, 44, 21, 27486, 48, 25080, 10479, 3929, 7736, 3003, 12350, 1734, 22503, 8119, 12172, 1213, 7310, 44, 2135, 27486, 48, 33, 5236, 2244, 1112, 1049, 7137, 3092, 1068, 1026, 9650, 6806, 1511, 19116, 1114, 6115, 1845, 72, 5854, 1272, 32, 2769, 2904, 31311, 22826, 2545, 2818, 1073, 21270, 39, 1180, 6767, 135, 42, 9761, 11029, 11779, 15240, 32, 1123, 4186, 3071, 139, 13746, 1067, 24932, 132, 16073, 3924, 1144, 4517, 23983, 18, 1123, 4186, 3071, 139, 13746, 7680, 2982, 26225, 13889, 1144, 4517, 23983, 1084, 1123, 4186, 3071, 139, 13746, 24355, 13561, 11326, 3083, 9435, 7988, 2980, 29773, 2904, 31311, 22826, 2545, 2818, 11779, 15240, 21, 18797, 135, 41, 5356, 18029, 1123, 2606, 11743, 3642, 18, 1106, 30117, 7988, 2980, 29773, 18, 1138, 41, 2713, 56, 30925, 6125, 2545, 2818, 1123, 22268, 16045, 1084, 1134, 6767, 3924, 18, 1119, 54, 60, 3071, 18, 1163, 4071, 60, 2805, 6854, 1084, 1067, 2321, 10274, 3831, 1691, 1031, 1035, 2737, 4676, 1063, 22057, 24149, 1096, 1094, 3444, 1009, 7402, 23504, 1009, 6296, 28716, 1314, 5157, 1666, 1526, 1054, 2220, 1026, 6220, 25630, 1197, 1679, 13935, 1005, 15654, 10945, 1026, 10472, 1009, 3233, 1698, 1456, 13248, 20, 25630, 1197, 16554, 6958, 3400, 1177, 1118, 13707, 15, 1009, 11717, 1054, 1664, 1132, 1456, 6543, 1068, 1132, 10945, 1060, 8517, 8371, 54, 25382, 1626, 1145, 1060, 13887, 32, 25630, 1197, 15269, 1009, 11717, 1463, 5118, 1728, 1071, 6991, 19, 4990, 5940, 25799, 6418, 1479, 4942, 7236, 4013, 15, 25382, 1626, 1145, 2591, 14662, 1585, 1145, 1009, 8785, 1436, 32, 1083, 2338, 4364, 1085, 1500, 1034, 1005, 2591, 1164, 14108, 3773, 1230, 33, 24739, 16624, 1016, 1005, 5290, 21977, 1391, 1305, 7686, 1093, 33, 23914, 30767, 1380, 90, 1085, 169, 1012, 1221, 13720, 26241, 1009, 2978, 1006, 8060, 3952, 33, 21611, 1010, 1187, 2193, 11103, 1932, 27724, 1085, 169, 1012, 1391, 1043, 1495, 8934, 1009, 11717, 33, 2878, 1088, 8806, 26892, 3873, 1219, 8747, 15, 1043, 11717, 1009, 6617, 10390, 1101, 3375, 1130, 17444, 5217, 1066, 12214, 1061, 1684, 1139, 6146, 1005, 7746, 17444, 2591, 1164, 4640, 29813, 24739, 16624, 1016, 1005, 5290, 21977, 1391, 1305, 7686, 1093, 1068, 1132, 7213, 1054, 4618, 27724, 1085, 169, 1012, 5345, 23914, 7746, 17444, 1043, 31547, 1361, 1005, 4034, 6880, 1009, 5496, 2964, 1166, 1054, 1495, 2224, 18973, 27549, 20532, 1120, 1085, 1500, 1034, 33, 24739, 7746, 17444, 1043, 1495, 13063, 1009, 11717, 1005, 4034, 6880, 1009, 27716, 2147, 20, 1422, 15, 1134, 1081, 5385, 1302, 1061, 9393, 1005, 7321, 12258, 1138, 1615, 33, 24739, 2985, 3485, 1068, 8590, 11594, 2408, 1043, 1495, 13063, 1009, 5822, 1667, 23914, 7746, 2984, 1242, 1043, 10591, 1005, 4034, 6880, 1009, 5496, 1054, 1495, 2224, 18973, 1422, 15, 2320, 1021, 1145, 5464, 33, 16624, 1016, 1043, 1495, 3886, 4925, 1009, 5822, 1667, 1487, 15, 1084, 1077, 15218, 1034, 33, 58, 1485, 2147, 1043, 18282, 1048, 16129, 1009, 18208, 1006, 3886, 10390, 3072, 4676, 1766, 6022, 1048, 17901, 1159, 2068, 1068, 1132, 22179, 1187, 18282, 1327, 1132, 6475, 1166, 1357, 18857, 1049, 5019, 8516, 1009, 31375, 23917, 1071, 6991, 19, 4990, 25, 2023, 25, 2704, 27, 1479, 3314, 2260, 3377, 42, 5555, 1461, 10437, 32, 2430, 1331, 85, 1009, 15269, 1068, 2451, 18431, 1005, 6044, 20, 1071, 6991, 19, 4990, 25, 2023, 25, 4700, 30, 1479, 3381, 4243, 3377, 42, 5555, 1461, 6158, 32, 2430, 1331, 85, 1009, 26449, 1054, 10880, 1068, 1067, 15160, 1005, 19831, 17334, 1071, 6991, 19, 4990, 25, 2023, 26, 2621, 1479, 9535, 2673, 3377, 50, 2891, 7376, 16783, 1505, 152, 32, 1424, 11717, 1009, 26449, 13825, 1021, 3304, 1118, 13707, 1349, 1068, 2376, 1828, 9872, 18652, 1392, 1054, 16783, 1505, 20171, 1071, 6991, 19, 4990, 25, 2023, 1839, 6101, 1479, 4942, 7626, 3377, 46, 3157, 1897, 23847, 9684, 32, 2430, 1331, 85, 1009, 15269, 1294, 4496, 3140, 32, 16624, 1016, 11716, 33, 19896, 2147, 33, 2854, 1394, 33, 7746, 2984, 1242, 10582, 33, 22225, 1009, 2376, 1828, 9872, 2320, 1021, 1145, 33, 1123, 13646, 1842, 33, 1128, 28595, 2172, 1219, 1525, 1005, 5122, 3656, 6208, 1221, 1038, 3424, 1071, 4406, 6991, 19, 4406, 3663, 1479, 6916, 15, 1, 3032, 1187, 1073, 3434, 1051, 2972, 32, 6307, 6809, 1185, 75, 1159, 1026, 1531, 2005, 1060, 5242, 1009, 2125, 5729, 13636, 8, 1576, 57, 6809, 1185, 75, 1159, 1026, 1531, 2005, 1060, 5242, 1009, 2125, 5729, 13636, 8, 1605, 7778, 13209, 1049, 7822, 54, 9208, 8733, 1048, 1006, 15474, 1049, 6307, 1009, 22439, 1094, 2612, 1009, 1360, 11556, 1068, 1124, 3978, 4274, 1580, 22318, 1159, 1026, 2496, 9464, 1160, 1381, 1680, 3048, 1381, 3010, 8, 1005, 26382, 1492, 6634, 1525, 1132, 22275, 5066, 1480, 22957, 43, 3904, 2364, 1026, 6307, 19013, 1159, 1807, 4375, 11292, 1006, 6222, 1009, 1094, 2612, 1068, 1752, 6117, 22703, 1048, 1298, 1178, 16427, 1511, 3547, 7142, 1578, 4844, 19529, 8356, 2464, 1058, 1026, 2671, 4910, 1993, 1044, 5890, 1118, 3681, 1072, 1345, 9603, 1009, 10465, 1261, 8587, 1213, 2822, 1187, 5494, 1578, 1646, 3179, 1026, 23885, 2429, 1419, 2841, 1048, 5176, 1040, 1406, 4979, 7229, 19944, 1009, 12206, 2098, 1838, 1140, 1118, 3236, 1542, 1255, 83, 1188, 7766, 4116, 1128, 1088, 1577, 24153, 14115, 3413, 2503, 3789, 1361, 11556, 1118, 6117, 22703, 5, 4675, 4839, 1100, 1009, 2317, 4776, 2237, 4375, 25999, 1197, 1006, 6117, 1479, 1026, 2671, 1009, 1334, 1497, 1761, 96, 1361, 11556, 3552, 2612, 1048, 1132, 4090, 1225, 1009, 10012, 2459, 12134, 19217, 4134, 43, 2818, 1119, 27154, 18150, 1073, 30156, 13889, 5640, 4090, 1160, 1693, 2409, 6243, 1026, 3453, 1309, 1026, 4235, 1298, 4441, 4090, 5490, 1032, 1046, 1124, 11189, 1009, 2837, 1006, 18817, 1605, 4235, 17508, 1049, 15068, 4108, 1009, 19241, 0, 1576, 1265, 1166, 31744, 2864, 1026, 5102, 1298, 6530, 1068, 1006, 2612, 1048, 1160, 5662, 3192, 33, 1124, 11189, 1009, 6389, 1009, 2612, 1566, 3684, 11519, 2289, 0, 1, 5139, 13341, 1571, 3306, 15, 1325, 1005, 7181, 1043, 1048, 1264, 1160, 17041, 1117, 2097, 1160, 4347, 12049, 20, 1073, 3340, 11262, 1060, 12739, 1357, 1006, 4281, 1049, 22137, 1357, 7342, 1049, 14812, 2691, 3505, 90, 8864, 1271, 4692, 1273, 1762, 25436, 1124, 2523, 20244, 1106, 1444, 21199, 17630, 3722, 1187, 14675, 9303, 3500, 1005, 1271, 22001, 5, 6741, 1202, 1312, 1118, 10566, 1068, 1048, 1058, 2129, 1092, 1420, 1571, 3306, 15, 5037, 1005, 1048, 1264, 1323, 14199, 1493, 10566, 15890, 1005, 20429, 3659, 6860, 8524, 53, 10473, 20257, 29601, 20, 5139, 3306, 15, 12457, 2766, 2024, 2924, 3271, 1006, 15132, 15500, 3741, 18, 1005, 1048, 1264, 3241, 4101, 1998, 1068, 20280, 1, 2656, 1836, 4445, 5593, 1800, 1094, 4497, 1005, 1616, 1566, 2159, 1393, 1006, 27985, 6027, 1043, 1026, 2380, 23987, 3414, 1182, 1040, 7881, 3616, 1009, 2381, 3890, 2730, 4367, 1009, 5099, 1005, 1841, 1075, 3890, 16499, 1072, 2788, 1060, 7298, 14916, 1005, 1752, 1472, 1048, 27700, 1006, 19641, 1026, 4410, 1566, 1325, 1184, 3910, 37, 1132, 2383, 2162, 4239, 1048, 1616, 1323, 1004, 3893, 15658, 2106, 1132, 2383, 2162, 4239, 7, 1565, 2654, 18502, 1094, 15089, 1005, 1026, 8796, 2092, 20294, 7092, 1836, 1043, 2574, 1557, 1068, 6141, 1114, 3616, 15, 31519, 1009, 11458, 1930, 1309, 1305, 2997, 12265, 12940, 1071, 9231, 88, 88, 88, 3377, 5698, 1009, 1493, 2381, 1930, 3062, 3739, 2602, 6423, 1006, 1044, 1908, 1571, 1566, 18657, 1493, 5450, 1400, 1068, 5574, 2156, 1206, 2125, 4761, 1048, 1620, 1160, 26771, 17689, 1271, 2688, 1837, 1646, 1048, 4647, 1493, 9773, 15, 1005, 12071, 1698, 29565, 4735, 3002, 9212, 7, 6416, 1393, 1006, 6141, 1848, 1006, 28402, 1054, 9195, 20, 2605, 2449, 3970, 4475, 2656, 5192, 1058, 1323, 2155, 13545, 1024, 1715, 5011, 3062, 22877, 1133, 37, 3528, 4732, 1009, 3227, 1160, 9470, 5832, 3819, 4271, 7765, 1202, 8396, 1592, 1048, 1857, 1160, 5036, 3192, 1679, 15315, 2246, 1124, 22500, 1068, 2306, 7181, 2073, 3616, 1717, 15315, 1327, 1493, 1861, 3273, 1327, 1026, 23885, 1009, 30009, 1717, 1044, 2386, 1565, 2605, 1114, 8442, 1327, 1049, 3607, 6255, 1533, 1358, 1089, 1132, 1449, 1035, 1022, 2972, 1175, 12547, 3420, 26807, 27411, 19, 1493, 1493, 25902, 12802, 1927, 1006, 6394, 3629, 31050, 1006, 2208, 1066, 1009, 3453, 7297, 1044, 1908, 12199, 13131, 1309, 19440, 1048, 1261, 1006, 5131, 8522, 1068, 1395, 12415, 1007, 1130, 1009, 11465, 3469, 2246, 1318, 1096, 1493, 20505, 1667, 1084, 2950, 1233, 9272, 1096, 4230, 1261, 7931, 3534, 1417, 1096, 10799, 1422, 1783, 1005, 13054, 1054, 2250, 11707, 1768, 21633, 3010, 1277, 5316, 1554, 1084, 5639, 1305, 14308, 1054, 10420, 3048, 3192, 1049, 9808, 7550, 1973, 1114, 15207, 1160, 29064, 28402, 1309, 1068, 4982, 1006, 3938, 3888, 1005, 6180, 1009, 4236, 1043, 7881, 2706, 6762, 1132, 10420, 1005, 1124, 1569, 1008, 3418, 1021, 8833, 25430, 3882, 6799, 1006, 1751, 2716, 20, 1972, 10312, 5573, 675, 996, 1833, 16457, 1048, 1395, 1863, 1130, 2370, 23982, 3204, 1901, 2449, 1026, 2092, 3152, 13831, 1005, 1620, 1160, 27742, 1026, 1048, 4647, 1663, 1715, 1982, 77, 10594, 37, 17888, 2513, 1157, 1992, 3987, 1871, 1160, 6581, 31938, 1096, 1493, 10854, 6633, 1128, 1219, 1048, 1323, 2997, 2350, 14376, 1322, 1026, 1048, 5381, 2753, 4271, 4065, 18415, 2640, 18, 1048, 2446, 1009, 4761, 21, 1321, 1665, 1074, 19440, 1184, 4961, 15, 1246, 3377, 2959, 1009, 7508, 14684, 1072, 2788, 1060, 7298, 14916, 1005, 1132, 6022, 675, 7142, 9095, 1184, 29635, 1160, 1096, 1998, 9525, 12931, 1126, 5934, 13445, 1063, 4675, 1729, 1006, 1048, 1511, 1039, 2571, 1074, 7508, 1132, 7841, 14684, 1184, 1009, 1094, 5326, 5471, 1026, 1080, 6351, 3950, 1114, 3069, 1455, 2158, 84, 1497, 1068, 1026, 2788, 11886, 3291, 8, 1048, 1096, 1927, 1006, 2921, 3271, 3812, 1219, 2693, 1006, 22056, 1318, 1566, 27079, 1006, 2122, 7018, 3320, 1776, 2535, 2429, 23057, 25901, 1054, 2573, 1006, 1663, 1006, 29793, 5687, 1044, 3481, 1005, 1511, 5039, 21633, 1006, 13595, 1566, 1836, 1184, 1429, 1667, 29653, 1049, 5330, 6215, 1038, 2602, 1048, 1072, 1531, 2511, 1309, 2467, 3706, 2315, 1213, 2011, 3494, 1508, 1663, 1006, 2921, 3780, 1006, 1419, 1026, 1048, 30920, 2275, 1084, 23230, 18, 7981, 1026, 4410, 1184, 18819, 1048, 27131, 4947, 1114, 22515, 20, 1, 2346, 2063, 1365, 2556, 1010, 6733, 22694, 1054, 8308, 1049, 25564, 1152, 2963, 31, 57, 1827, 3390, 23701, 2063, 1365, 2556, 1010, 6733, 22694, 1054, 8308, 1049, 25564, 18597, 5730, 1152, 2978, 10148, 10998, 21881, 8121, 5919, 2922, 1271, 20763, 3019, 12475, 19173, 1044, 7279, 9553, 2156, 22245, 7075, 1195, 13510, 1114, 25742, 3381, 2434, 3801, 2794, 43, 2541, 4700, 16075, 7279, 5687, 3867, 1213, 2559, 3420, 1048, 4145, 3177, 1213, 3338, 1009, 4557, 1258, 1350, 20, 1482, 1094, 1271, 22245, 7075, 3586, 1791, 14950, 1018, 8631, 1049, 3338, 1009, 1764, 11375, 1229, 1566, 1114, 2750, 22245, 16614, 1044, 2792, 1005, 1094, 14650, 5300, 8631, 1009, 8308, 1049, 25564, 20, 1, 1128, 4487, 25505, 1213, 8908, 4009, 5657, 3158, 1529, 3158, 1722, 2555, 4487, 25505, 1213, 8908, 19287, 1226, 1060, 17947, 9469, 3323, 2528, 2224, 1009, 3113, 1009, 4152, 4, 120, 1228, 11040, 1467, 1228, 11040, 1195, 25096, 1072, 4995, 12693, 1049, 26285, 1134, 3071, 44, 19136, 5529, 6682, 5387, 1191, 1221, 1009, 1128, 4487, 10399, 2227, 1060, 2828, 1060, 22860, 18155, 18, 12194, 1357, 1128, 3446, 20577, 3514, 1370, 15609, 8, 2904, 10976, 96, 1049, 1134, 3071, 44, 59, 11040, 1605, 25941, 1271, 1067, 24189, 4153, 1051, 1400, 1072, 23464, 2751, 1060, 1228, 40, 5529, 18712, 1068, 4305, 1006, 2475, 0, 3536, 1049, 1134, 3071, 44, 59, 11040, 20, 3204, 11621, 20892, 13408, 3957, 1009, 1030, 4487, 1048, 3904, 1006, 7927, 1005, 9085, 83, 1068, 2539, 1176, 1191, 4261, 1309, 1096, 1318, 1044, 1884, 15112, 1365, 1030, 4487, 1406, 7845, 19457, 16477, 5972, 3928, 2038, 1014, 1060, 1030, 3446, 3361, 3013, 1704, 11621, 7312, 1043, 1006, 4455, 1271, 1030, 4487, 11288, 3446, 4139, 3446, 30416, 1060, 5411, 8676, 1009, 5673, 1049, 4284, 1349, 1128, 3446, 19905, 43, 3783, 4139, 3446, 30416, 1060, 2828, 1060, 11619, 1349, 23034, 9070, 4139, 3446, 30416, 1060, 5411, 8676, 2638, 22625, 1009, 12237, 1009, 9579, 15, 1005, 23034, 18626, 4139, 3446, 30416, 1049, 4632, 8676, 1009, 2638, 12555, 1565, 1063, 5342, 1271, 1030, 4487, 1006, 7927, 2068, 2923, 1114, 5286, 1009, 1030, 4487, 1271, 4320, 3905, 19480, 12867, 1049, 6402, 1009, 3756, 1006, 17302, 83, 3570, 1005, 14834, 3033, 1026, 4318, 1009, 13274, 1005, 14541, 1406, 2612, 19457, 26055, 5613, 1030, 4487, 7287, 29958, 2309, 1176, 20049 ]

[ 5496, 1187, 29389, 2246, 1160, 1058, 1298, 6622, 1132, 29389, 1305, 1006, 16867, 1060, 10899, 1005, 1305, 1058, 1006, 21474, 1026, 25006, 1049, 12168, 11661, 6922, 1009, 2593, 1800, 1006, 1663, 1026, 5496, 1009, 2088, 26539, 5425, 1620, 2199, 1508, 1006, 7304, 1124, 26704, 1009, 6900, 1048, 9344, 2593, 1043, 1006, 10899, 17073, 1126, 8234, 1140, 1206, 19583, 1406, 13261, 4441, 26539, 1689, 17418, 1009, 23379, 1160, 19321, 26704, 2950, 1213, 5496, 1009, 8623, 8645, 2246, 1096, 18623, 1044, 3790, 10038, 6266, 3763, 1094, 3964, 1472, 15, 1890, 1026, 3041, 1009, 13956, 1060, 7460, 12204, 1009, 19745, 1206, 5978, 1009, 16552, 1009, 1049, 2483, 5457, 20, 1, 1424, 4758, 1009, 5843, 28, 8401, 13362, 1225, 18290, 1007, 8812, 1009, 1422, 2084, 31, 1030, 1009, 25591, 1175, 8020, 18306, 11658, 14743, 1424, 4758, 1009, 5843, 28, 8401, 13362, 1225, 18290, 1007, 8812, 1009, 1422, 2084, 31, 1030, 1009, 3226, 1534, 4758, 1009, 5843, 28, 8401, 13362, 1225, 18290, 1007, 8812, 1009, 1422, 2084, 31, 1030, 1009, 25591, 27943, 1009, 3149, 1009, 4210, 1726, 20925, 7157, 1691, 1458, 11268, 1049, 2709, 13708, 1006, 18290, 1007, 4152, 14290, 1009, 25591, 9592, 4927, 10772, 1043, 1094, 2935, 1009, 1422, 2084, 31, 6795, 2744, 1009, 10338, 3273, 1044, 7423, 5843, 19599, 4260, 1124, 1422, 2081, 5900, 28, 2744, 1009, 12845, 1049, 8566, 4119, 3228, 2471, 2277, 6840, 1009, 13490, 14547, 3068, 9560, 2149, 15640, 1357, 10191, 2769, 1009, 2642, 1593, 5770, 27927, 1182, 13747, 1535, 1182, 13658, 1009, 1044, 3756, 5661, 1048, 1072, 3709, 3498, 1075, 1049, 1908, 1124, 4034, 17843, 7374, 16049, 2445, 17646, 30867, 4975, 1006, 18679, 1992, 1159, 5756, 1094, 6937, 1294, 8235, 1114, 6389, 1187, 2179, 1179, 10737, 1054, 21669, 1060, 6647, 1049, 4898, 2416, 1035, 1051, 1827, 19373, 1026, 1048, 1318, 10507, 3506, 1006, 2935, 3019, 8566, 6889, 2303, 1043, 1026, 6840, 18, 1026, 17828, 1048, 26259, 1006, 3450, 1060, 7401, 25269, 1126, 1026, 24928, 175, 1609, 1074, 5621, 13239, 3015, 10146, 2445, 1071, 3071, 31810, 1060, 18290, 1007, 2793, 2224, 2534, 3876, 29858, 1118, 10338, 1140, 1005, 1026, 15689, 1009, 15103, 1206, 4473, 1006, 5020, 1009, 25591, 19556, 1006, 2935, 1009, 1752, 4168, 1195, 1184, 1155, 10844, 1243, 3068, 3337, 1048, 12007, 1049, 1048, 1114, 12824, 9003, 1006, 1535, 1182, 18, 1072, 8566, 4119, 3228, 2471, 1779, 2084, 7795, 11, 1060, 25591, 11724, 1054, 9963, 11268, 1049, 2709, 1195, 3163, 1140, 1068, 1006, 13304, 1009, 2725, 1056, 9087, 1717, 20946, 5940, 11, 1068, 1026, 9028, 27987, 2097, 1048, 1114, 18290, 1007, 4152, 3228, 2400, 1779, 2471, 8360, 11, 1195, 19556, 1006, 2935, 1049, 5409, 19647, 1432, 1519, 1005, 18669, 3851, 11, 1006, 1049, 17955, 8245, 1009, 5924, 1132, 5891, 1009, 13550, 1060, 18290, 1007, 4152, 3228, 2400, 1006, 1535, 1182, 1318, 16394, 1224, 1944, 20697, 1068, 1026, 8566, 4210, 3228, 3006, 1063, 7298, 23020, 1048, 1026, 2497, 5319, 150, 1054, 7583, 19599, 1224, 2935, 1009, 2179, 1126, 19151, 1124, 1422, 2400, 4943, 26, 2744, 1009, 12845, 1005, 7412, 15140, 1072, 1592, 20366, 1026, 11283, 1009, 9028, 27987, 1048, 1298, 4537, 1006, 3646, 26, 2944, 9557, 1009, 10338, 3273, 1005, 1009, 2725, 1056, 9087, 1048, 1298, 8236, 1132, 4662, 9621, 24, 6616, 1009, 3278, 12900, 1, 14522, 79, 14714, 1054, 2348, 2750, 5099, 1233, 24971, 2800, 1006, 1641, 3134, 1044, 1187, 26001, 1184, 4412, 1049, 5108, 12974, 1044, 10354, 8557, 1049, 6220, 3126, 1992, 1048, 14714, 5404, 1847, 2348, 1944, 10834, 1009, 1094, 5099, 1009, 2595, 2250, 1118, 1782, 3825, 1060, 18104, 9520, 1006, 4054, 2252, 1124, 5220, 6417, 1005, 1132, 6453, 1048, 4793, 1089, 1898, 23, 1175, 1123, 171, 6587, 5656, 1605, 1831, 2269, 1048, 18657, 1195, 1006, 12887, 20156, 7452, 1206, 1641, 11454, 18, 1571, 2947, 1006, 11298, 10713, 1123, 171, 6587, 5656, 20, 1424, 5391, 1096, 1026, 7510, 1284, 3185, 1060, 1641, 1005, 1026, 2386, 1184, 26383, 2309, 2826, 11048, 2013, 2307, 1048, 19895, 1132, 12199, 1010, 6171, 1166, 1009, 7490, 2220, 7313, 2800, 27079, 1114, 1641, 1791, 2250, 1846, 1049, 22356, 1132, 10420, 1566, 7444, 2281, 4435, 3983, 1482, 2089, 4761, 1159, 25514, 1132, 1313, 1089, 2807, 1139, 1767, 89, 4013, 20590, 18729, 1495, 1531, 4984, 1009, 3049, 1533, 1123, 171, 6587, 5656, 1096, 7356, 1006, 12259, 1049, 6545, 1005, 1213, 1235, 5211, 1837, 4306, 25265, 89, 1005, 13379, 1962, 5593, 1094, 3593, 26394, 1005, 14308, 1963, 23861, 1107, 5848, 2267, 4793, 1089, 1072, 29115, 1026, 7322, 1195, 3659, 1680, 1039, 1032, 1328, 2453, 1009, 1044, 25265, 20, 29627, 1092, 1026, 1387, 8328, 25676, 2984, 2170, 1159, 1836, 28535, 1094, 10249, 1328, 1009, 29906, 1043, 1963, 23861, 1107, 9564, 1493, 14515, 1163, 23841, 3360, 1048, 8717, 1791, 2250, 26806, 4908, 8730, 1006, 7901, 75, 1060, 12259, 1318, 1096, 6708, 20365, 1766, 23865, 1005, 13379, 27100, 1124, 22214, 1463, 4268, 1005, 2289, 2947, 1493, 22067, 1068, 10066, 1006, 6500, 5848, 24, 1175, 1138, 1042, 3304, 3951, 5640, 21123, 1502, 1019, 3342, 1060, 4137, 1058, 23060, 1138, 1042, 3304, 1061, 1802, 2494, 3289, 1160, 13136, 13054, 1309, 1327, 4234, 1072, 11100, 1043, 1006, 11298, 1005, 27403, 15111, 7969, 24117, 9755, 20, 3204, 9885, 5668, 6853, 1096, 1493, 5970, 1005, 1381, 1751, 1060, 8564, 1049, 3709, 6191, 1060, 1641, 23333, 1175, 23215, 25151, 1479, 7030, 1009, 14714, 20877, 18536, 1060, 1123, 171, 6587, 5656, 1318, 2947, 1026, 9795, 1060, 8592, 15854, 1123, 171, 83, 1870, 1048, 3901, 15678, 1005, 1381, 5231, 1006, 26416, 19042, 1048, 5140, 1155, 3158, 1063, 8592, 5325, 1072, 1592, 2386, 1837, 1184, 1009, 12774, 1646, 7, 4490, 7969, 1096, 17099, 1005, 29642, 1680, 1006, 1641, 1009, 14714, 25576, 1175, 17162, 1009, 14714, 1175, 4321, 76, 1189, 1363, 4660, 1467, 17162, 1009, 26021, 1318, 16271, 17162, 17348, 1009, 1764, 14090, 26536, 12850, 3134, 1094, 7969, 1086, 14570, 1005, 1240, 1674, 6633, 2654, 9479, 5956, 18505, 1026, 3239, 1086, 15462, 7, 1063, 1751, 9662, 1096, 1620, 1184, 1064, 8135, 3134, 1044, 9295, 7663, 1005, 4601, 22981, 6997, 9805, 30764, 1294, 18536, 1060, 1123, 171, 6587, 5656, 1005, 1006, 3583, 1096, 5372, 9561, 2656, 1298, 3417, 1009, 5574, 28476, 1175, 2976, 3169, 1130, 15767, 1479, 4482, 1009, 1764, 2434, 2995, 1040, 3867, 1006, 1123, 171, 6587, 5656, 1325, 1006, 2976, 3169, 1130, 4418, 14270, 1206, 4482, 1009, 1764, 4989, 1571, 5325, 1026, 21172, 1060, 14418, 9755, 20, 2013, 1044, 2269, 1493, 15185, 1068, 9773, 1005, 1006, 3583, 1096, 5372, 9561, 11026, 19895, 10645, 1005, 16592, 18, 1005, 1026, 2386, 3134, 1094, 7969, 1043, 5203, 24569, 1069, 1009, 20864, 14713, 29447, 1059, 28, 1175, 20481, 1227, 1014, 3183, 77, 10888, 1811, 1157, 5220, 2159, 4068, 1118, 26021, 8717, 1495, 1006, 20481, 1227, 1014, 3183, 15902, 1006, 11298, 11295, 1009, 6102, 1048, 10271, 1026, 2293, 16993, 1005, 8372, 1006, 1123, 171, 6587, 5656, 1495, 1026, 4657, 1009, 1067, 2450, 89, 2178, 1093, 1051, 1533, 11295, 1096, 10567, 1118, 1011, 1430, 1166, 1143, 12506, 20658, 1009, 25754, 1009, 26479, 1063, 4350, 1049, 2293, 16993, 1005, 1132, 23544, 6718, 14360, 1044, 12507, 6490, 5848, 29, 1479, 25906, 1024, 1009, 15107, 1356, 2293, 16993, 22233, 12786, 1503, 4540, 2997, 1094, 12579, 1048, 7206, 1009, 1261, 23233, 1309, 1160, 3768, 20, 2654, 1927, 15733, 5877, 1024, 1009, 15107, 1463, 4761, 1048, 6515, 13244, 1048, 1124, 9775, 5984, 1159, 24188, 86, 7277, 1118, 17216, 4685, 2159, 1089, 2309, 10121, 1009, 25438, 20171, 5236, 1275, 1048, 1160, 19082, 11513, 1493, 1356, 9061, 1048, 1836, 3748, 1294, 2250, 1048, 11830, 1054, 14714, 20, 18028, 1048, 1072, 8730, 1096, 1927, 1184, 7492, 1009, 16663, 1309, 1058, 4219, 3004, 1503, 4834, 3330, 1592, 1072, 1762, 28759, 1424, 5391, 1033, 11809, 1054, 2348, 4958, 1472, 9773, 1006, 1641, 1059, 30, 1175, 2786, 1128, 8714, 4956, 1566, 1976, 1261, 4947, 1054, 1702, 2269, 1094, 12454, 7663, 1043, 1026, 7196, 1049, 2786, 18, 4918, 37, 17243, 1687, 16365, 1054, 26021, 1225, 2322, 4722, 1009, 4464, 1005, 1861, 71, 3886, 10338, 5010, 22753, 1054, 3349, 1213, 9795, 1049, 11666, 5960, 13355, 4045, 11426, 3377, 44, 7060, 13684, 1225, 1318, 1235, 2790, 30424, 7003, 1009, 31257, 3577, 158, 9039, 23870, 2448, 1006, 16993, 1128, 8714, 3134, 1044, 1484, 1684, 6235, 6888, 1233, 1737, 3155, 20, 2654, 25515, 1160, 31388, 18, 1309, 1808, 85, 2307, 1006, 12579, 1962, 2306, 7464, 1009, 18185, 1094, 3593, 4350, 7994, 1017, 7897, 1060, 1641, 1059, 31, 1175, 16740, 1060, 11035, 20180, 1467, 6922, 1049, 10840, 1096, 1026, 1853, 2269, 1068, 1058, 9245, 1024, 1054, 4732, 1009, 2419, 3803, 22753, 1213, 2790, 1060, 5561, 1606, 90, 72, 3539, 76, 14714, 1317, 2613, 3926, 1006, 6500, 5046, 1009, 8994, 18, 1571, 1837, 4874, 1068, 2073, 7632, 1060, 5253, 3590, 1145, 1009, 20958, 29253, 7529, 9245, 1140, 1072, 30614, 1045, 1134, 2448, 2231, 3274, 1916, 17120, 1089, 1026, 6072, 10472, 9889, 1005, 2947, 4564, 1837, 1782, 4686, 1060, 6500, 1006, 5768, 20, 1776, 4449, 1006, 4054, 1503, 2168, 3877, 1054, 4972, 26035, 85, 10233, 1045, 26178, 1006, 1712, 1751, 1049, 3709, 6191, 28223, 1305, 1323, 20808, 1043, 11787, 1043, 5407, 20, 1138, 5603, 3134, 1668, 10840, 2340, 1096, 1094, 6317, 1060, 1641, 8734, 1009, 10190, 2972, 1005, 10610, 4543, 5436, 27353, 1346, 1096, 2486, 10686, 1114, 4149, 1565, 8602, 3696, 1124, 4268, 8619, 10672, 1312, 1271, 1184, 22241, 5281, 2170, 1068, 2306, 7464, 1009, 1094, 7901, 75, 1184, 10189, 1827, 6094, 18, 2653, 25265, 89, 4548, 3068, 2413, 1059, 1839, 1479, 1983, 1407, 1024, 1005, 26595, 1006, 1641, 1383, 1160, 1225, 3192, 1853, 1049, 1048, 22414, 1005, 26595, 1094, 1641, 1048, 1006, 4614, 1620, 1160, 6868, 7, 9663, 2781, 2350, 5795, 1271, 5220, 2159, 4068, 1118, 14714, 20, 9340, 1043, 2250, 9156, 26141, 1006, 1641, 1096, 1680, 7296, 5848, 2267, 21239, 1224, 5099, 17910, 1225, 30833, 1160, 26393, 1305, 7079, 5099, 7, 1073, 6799, 1072, 26813, 1048, 1298, 2997, 1058, 2637, 9207, 37, 4501, 4347, 1463, 11189, 1072, 7809, 1048, 1327, 1141, 1017, 5395, 13104, 1603, 1299, 3833, 5993, 10172, 1159, 1503, 1962, 1622, 4937, 1930, 5615, 1009, 1044, 5917, 92, 2575, 1225, 2289, 1962, 6423, 1558, 1188, 7, 21664, 1009, 2739, 6978, 2318, 1273, 10044, 1089, 5966, 1043, 1006, 2773, 1209, 19202, 20, 2013, 1026, 1853, 2788, 1962, 13365, 1026, 7079, 7322, 1043, 1026, 1853, 6072, 10472, 20, 1603, 1299, 2598, 15317, 1005, 1325, 16369, 2586, 2307, 1225, 1026, 8553, 29983, 1322, 1159, 5325, 1030, 1302, 17833, 4501, 4347, 1048, 1026, 2788, 1225, 2220, 1026, 28528, 1164, 1962, 1299, 4883, 1305, 5832, 1009, 2115, 1439, 20, 1134, 2059, 23029, 6788, 1299, 2900, 1118, 4539, 4650, 13946, 2307, 1005, 3241, 1132, 3460, 6022, 1009, 14843, 11131, 1016, 1005, 24792, 1009, 5099, 1962, 12212, 8934, 18640, 4578, 11901, 1930, 2307, 1299, 1225, 1094, 11011, 1149, 1009, 3918, 1009, 20958, 1068, 9854, 1428, 1058, 30622, 1072, 1235, 7346, 20, 1, 17729, 58, 58, 9225, 1068, 4465, 1294, 5891, 1009, 14508, 1009, 12513, 1175, 1134, 2302, 39, 11370, 1759, 51, 58, 58, 9225, 1068, 4465, 1294, 5891, 1009, 14508, 1009, 12513, 1433, 21062, 3430, 4093, 1026, 12271, 1060, 16221, 1005, 1006, 6937, 1187, 4278, 1009, 18420, 1114, 19688, 1048, 8930, 22416, 1094, 8011, 5893, 1112, 1271, 5567, 31861, 10028, 1096, 2204, 1939, 1026, 4465, 1060, 5020, 1009, 7471, 14888, 1157, 1463, 4268, 1005, 27418, 1580, 1009, 5683, 1609, 80, 8668, 11938, 3904, 17770, 1318, 1026, 2285, 1009, 14508, 1009, 12513, 3590, 1166, 1060, 3845, 18766, 1272, 4708, 1009, 22787, 1005, 27858, 2794, 51, 58, 58, 1349, 18405, 1679, 3952, 1009, 3149, 1006, 3353, 3019, 4183, 9610, 1044, 4465, 10745, 1271, 6149, 15987, 19133, 1213, 1592, 3041, 1049, 1901, 4995, 3915, 3149, 1009, 4579, 1596, 19073, 3734, 22, 1251, 1038, 4837, 1717, 28425, 1049, 1901, 3388, 33, 1054, 2436, 1596, 3771, 26, 6149, 15987, 1717, 10565, 1009, 3209, 33, 1054, 3370, 1596, 2978, 2394, 1717, 1290, 33, 1005, 1054, 3353, 1596, 2971, 2525, 1717, 2971, 2394, 9354, 1858, 3742, 1654, 1060, 17729, 58, 11151, 1049, 4632, 23933, 27013, 1071, 4326, 23245, 1005, 1060, 10191, 1009, 2689, 1031, 6091, 1009, 27858, 1009, 26049, 2663, 22348, 1368, 16075, 2201, 29333, 1060, 17729, 58, 11151, 15244, 1128, 2057, 1400, 24201, 1006, 4493, 1049, 5085, 1726, 8533, 1005, 14534, 1394, 1009, 12513, 1068, 1058, 4379, 14508, 20, 20577, 1783, 1826, 19850, 1006, 4524, 2979, 1009, 6711, 1124, 6296, 11683, 1412, 1124, 7648, 27847, 18, 1118, 3018, 12385, 1006, 20896, 1072, 29515, 9744, 14429, 1184, 7471, 1005, 1783, 14888, 1157, 1005, 1096, 1966, 1012, 13131, 1261, 1176, 1302, 1272, 1072, 12513, 1068, 1048, 14508, 4444, 28585, 3983, 1138, 5085, 1726, 8533, 1005, 14534, 1394, 5898, 1847, 6407, 1005, 2120 ]

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

[ 5496, 1187, 29389, 2246, 1160, 1058, 1298, 6622, 1132, 29389, 1305, 1006, 16867, 1060, 10899, 1005, 1305, 1058, 1006, 21474, 1026, 25006, 1049, 12168, 11661, 6922, 1009, 2593, 1800, 1006, 1663, 1026, 5496, 1009, 2088, 26539, 5425, 1620, 2199, 1508, 1006, 7304, 1124, 26704, 1009, 6900, 1048, 9344, 2593, 1043, 1006, 10899, 17073, 1126, 8234, 1140, 1206, 19583, 1406, 13261, 4441, 26539, 1689, 17418, 1009, 23379, 1160, 19321, 26704, 2950, 1213, 5496, 1009, 8623, 8645, 2246, 1096, 18623, 1044, 3790, 10038, 6266, 3763, 1094, 3964, 1472, 15, 1890, 1026, 3041, 1009, 13956, 1060, 7460, 12204, 1009, 19745, 1206, 5978, 1009, 16552, 1009, 1049, 2483, 5457, 20, 1, 1424, 4758, 1009, 5843, 28, 8401, 13362, 1225, 18290, 1007, 8812, 1009, 1422, 2084, 31, 1030, 1009, 25591, 1175, 8020, 18306, 11658, 14743, 1424, 4758, 1009, 5843, 28, 8401, 13362, 1225, 18290, 1007, 8812, 1009, 1422, 2084, 31, 1030, 1009, 3226, 1534, 4758, 1009, 5843, 28, 8401, 13362, 1225, 18290, 1007, 8812, 1009, 1422, 2084, 31, 1030, 1009, 25591, 27943, 1009, 3149, 1009, 4210, 1726, 20925, 7157, 1691, 1458, 11268, 1049, 2709, 13708, 1006, 18290, 1007, 4152, 14290, 1009, 25591, 9592, 4927, 10772, 1043, 1094, 2935, 1009, 1422, 2084, 31, 6795, 2744, 1009, 10338, 3273, 1044, 7423, 5843, 19599, 4260, 1124, 1422, 2081, 5900, 28, 2744, 1009, 12845, 1049, 8566, 4119, 3228, 2471, 2277, 6840, 1009, 13490, 14547, 3068, 9560, 2149, 15640, 1357, 10191, 2769, 1009, 2642, 1593, 5770, 27927, 1182, 13747, 1535, 1182, 13658, 1009, 1044, 3756, 5661, 1048, 1072, 3709, 3498, 1075, 1049, 1908, 1124, 4034, 17843, 7374, 16049, 2445, 17646, 30867, 4975, 1006, 18679, 1992, 1159, 5756, 1094, 6937, 1294, 8235, 1114, 6389, 1187, 2179, 1179, 10737, 1054, 21669, 1060, 6647, 1049, 4898, 2416, 1035, 1051, 1827, 19373, 1026, 1048, 1318, 10507, 3506, 1006, 2935, 3019, 8566, 6889, 2303, 1043, 1026, 6840, 18, 1026, 17828, 1048, 26259, 1006, 3450, 1060, 7401, 25269, 1126, 1026, 24928, 175, 1609, 1074, 5621, 13239, 3015, 10146, 2445, 1071, 3071, 31810, 1060, 18290, 1007, 2793, 2224, 2534, 3876, 29858, 1118, 10338, 1140, 1005, 1026, 15689, 1009, 15103, 1206, 4473, 1006, 5020, 1009, 25591, 19556, 1006, 2935, 1009, 1752, 4168, 1195, 1184, 1155, 10844, 1243, 3068, 3337, 1048, 12007, 1049, 1048, 1114, 12824, 9003, 1006, 1535, 1182, 18, 1072, 8566, 4119, 3228, 2471, 1779, 2084, 7795, 11, 1060, 25591, 11724, 1054, 9963, 11268, 1049, 2709, 1195, 3163, 1140, 1068, 1006, 13304, 1009, 2725, 1056, 9087, 1717, 20946, 5940, 11, 1068, 1026, 9028, 27987, 2097, 1048, 1114, 18290, 1007, 4152, 3228, 2400, 1779, 2471, 8360, 11, 1195, 19556, 1006, 2935, 1049, 5409, 19647, 1432, 1519, 1005, 18669, 3851, 11, 1006, 1049, 17955, 8245, 1009, 5924, 1132, 5891, 1009, 13550, 1060, 18290, 1007, 4152, 3228, 2400, 1006, 1535, 1182, 1318, 16394, 1224, 1944, 20697, 1068, 1026, 8566, 4210, 3228, 3006, 1063, 7298, 23020, 1048, 1026, 2497, 5319, 150, 1054, 7583, 19599, 1224, 2935, 1009, 2179, 1126, 19151, 1124, 1422, 2400, 4943, 26, 2744, 1009, 12845, 1005, 7412, 15140, 1072, 1592, 20366, 1026, 11283, 1009, 9028, 27987, 1048, 1298, 4537, 1006, 3646, 26, 2944, 9557, 1009, 10338, 3273, 1005, 1009, 2725, 1056, 9087, 1048, 1298, 8236, 1132, 4662, 9621, 24, 6616, 1009, 3278, 12900, 1, 14522, 79, 14714, 1054, 2348, 2750, 5099, 1233, 24971, 2800, 1006, 1641, 3134, 1044, 1187, 26001, 1184, 4412, 1049, 5108, 12974, 1044, 10354, 8557, 1049, 6220, 3126, 1992, 1048, 14714, 5404, 1847, 2348, 1944, 10834, 1009, 1094, 5099, 1009, 2595, 2250, 1118, 1782, 3825, 1060, 18104, 9520, 1006, 4054, 2252, 1124, 5220, 6417, 1005, 1132, 6453, 1048, 4793, 1089, 1898, 23, 1175, 1123, 171, 6587, 5656, 1605, 1831, 2269, 1048, 18657, 1195, 1006, 12887, 20156, 7452, 1206, 1641, 11454, 18, 1571, 2947, 1006, 11298, 10713, 1123, 171, 6587, 5656, 20, 1424, 5391, 1096, 1026, 7510, 1284, 3185, 1060, 1641, 1005, 1026, 2386, 1184, 26383, 2309, 2826, 11048, 2013, 2307, 1048, 19895, 1132, 12199, 1010, 6171, 1166, 1009, 7490, 2220, 7313, 2800, 27079, 1114, 1641, 1791, 2250, 1846, 1049, 22356, 1132, 10420, 1566, 7444, 2281, 4435, 3983, 1482, 2089, 4761, 1159, 25514, 1132, 1313, 1089, 2807, 1139, 1767, 89, 4013, 20590, 18729, 1495, 1531, 4984, 1009, 3049, 1533, 1123, 171, 6587, 5656, 1096, 7356, 1006, 12259, 1049, 6545, 1005, 1213, 1235, 5211, 1837, 4306, 25265, 89, 1005, 13379, 1962, 5593, 1094, 3593, 26394, 1005, 14308, 1963, 23861, 1107, 5848, 2267, 4793, 1089, 1072, 29115, 1026, 7322, 1195, 3659, 1680, 1039, 1032, 1328, 2453, 1009, 1044, 25265, 20, 29627, 1092, 1026, 1387, 8328, 25676, 2984, 2170, 1159, 1836, 28535, 1094, 10249, 1328, 1009, 29906, 1043, 1963, 23861, 1107, 9564, 1493, 14515, 1163, 23841, 3360, 1048, 8717, 1791, 2250, 26806, 4908, 8730, 1006, 7901, 75, 1060, 12259, 1318, 1096, 6708, 20365, 1766, 23865, 1005, 13379, 27100, 1124, 22214, 1463, 4268, 1005, 2289, 2947, 1493, 22067, 1068, 10066, 1006, 6500, 5848, 24, 1175, 1138, 1042, 3304, 3951, 5640, 21123, 1502, 1019, 3342, 1060, 4137, 1058, 23060, 1138, 1042, 3304, 1061, 1802, 2494, 3289, 1160, 13136, 13054, 1309, 1327, 4234, 1072, 11100, 1043, 1006, 11298, 1005, 27403, 15111, 7969, 24117, 9755, 20, 3204, 9885, 5668, 6853, 1096, 1493, 5970, 1005, 1381, 1751, 1060, 8564, 1049, 3709, 6191, 1060, 1641, 23333, 1175, 23215, 25151, 1479, 7030, 1009, 14714, 20877, 18536, 1060, 1123, 171, 6587, 5656, 1318, 2947, 1026, 9795, 1060, 8592, 15854, 1123, 171, 83, 1870, 1048, 3901, 15678, 1005, 1381, 5231, 1006, 26416, 19042, 1048, 5140, 1155, 3158, 1063, 8592, 5325, 1072, 1592, 2386, 1837, 1184, 1009, 12774, 1646, 7, 4490, 7969, 1096, 17099, 1005, 29642, 1680, 1006, 1641, 1009, 14714, 25576, 1175, 17162, 1009, 14714, 1175, 4321, 76, 1189, 1363, 4660, 1467, 17162, 1009, 26021, 1318, 16271, 17162, 17348, 1009, 1764, 14090, 26536, 12850, 3134, 1094, 7969, 1086, 14570, 1005, 1240, 1674, 6633, 2654, 9479, 5956, 18505, 1026, 3239, 1086, 15462, 7, 1063, 1751, 9662, 1096, 1620, 1184, 1064, 8135, 3134, 1044, 9295, 7663, 1005, 4601, 22981, 6997, 9805, 30764, 1294, 18536, 1060, 1123, 171, 6587, 5656, 1005, 1006, 3583, 1096, 5372, 9561, 2656, 1298, 3417, 1009, 5574, 28476, 1175, 2976, 3169, 1130, 15767, 1479, 4482, 1009, 1764, 2434, 2995, 1040, 3867, 1006, 1123, 171, 6587, 5656, 1325, 1006, 2976, 3169, 1130, 4418, 14270, 1206, 4482, 1009, 1764, 4989, 1571, 5325, 1026, 21172, 1060, 14418, 9755, 20, 2013, 1044, 2269, 1493, 15185, 1068, 9773, 1005, 1006, 3583, 1096, 5372, 9561, 11026, 19895, 10645, 1005, 16592, 18, 1005, 1026, 2386, 3134, 1094, 7969, 1043, 5203, 24569, 1069, 1009, 20864, 14713, 29447, 1059, 28, 1175, 20481, 1227, 1014, 3183, 77, 10888, 1811, 1157, 5220, 2159, 4068, 1118, 26021, 8717, 1495, 1006, 20481, 1227, 1014, 3183, 15902, 1006, 11298, 11295, 1009, 6102, 1048, 10271, 1026, 2293, 16993, 1005, 8372, 1006, 1123, 171, 6587, 5656, 1495, 1026, 4657, 1009, 1067, 2450, 89, 2178, 1093, 1051, 1533, 11295, 1096, 10567, 1118, 1011, 1430, 1166, 1143, 12506, 20658, 1009, 25754, 1009, 26479, 1063, 4350, 1049, 2293, 16993, 1005, 1132, 23544, 6718, 14360, 1044, 12507, 6490, 5848, 29, 1479, 25906, 1024, 1009, 15107, 1356, 2293, 16993, 22233, 12786, 1503, 4540, 2997, 1094, 12579, 1048, 7206, 1009, 1261, 23233, 1309, 1160, 3768, 20, 2654, 1927, 15733, 5877, 1024, 1009, 15107, 1463, 4761, 1048, 6515, 13244, 1048, 1124, 9775, 5984, 1159, 24188, 86, 7277, 1118, 17216, 4685, 2159, 1089, 2309, 10121, 1009, 25438, 20171, 5236, 1275, 1048, 1160, 19082, 11513, 1493, 1356, 9061, 1048, 1836, 3748, 1294, 2250, 1048, 11830, 1054, 14714, 20, 18028, 1048, 1072, 8730, 1096, 1927, 1184, 7492, 1009, 16663, 1309, 1058, 4219, 3004, 1503, 4834, 3330, 1592, 1072, 1762, 28759, 1424, 5391, 1033, 11809, 1054, 2348, 4958, 1472, 9773, 1006, 1641, 1059, 30, 1175, 2786, 1128, 8714, 4956, 1566, 1976, 1261, 4947, 1054, 1702, 2269, 1094, 12454, 7663, 1043, 1026, 7196, 1049, 2786, 18, 4918, 37, 17243, 1687, 16365, 1054, 26021, 1225, 2322, 4722, 1009, 4464, 1005, 1861, 71, 3886, 10338, 5010, 22753, 1054, 3349, 1213, 9795, 1049, 11666, 5960, 13355, 4045, 11426, 3377, 44, 7060, 13684, 1225, 1318, 1235, 2790, 30424, 7003, 1009, 31257, 3577, 158, 9039, 23870, 2448, 1006, 16993, 1128, 8714, 3134, 1044, 1484, 1684, 6235, 6888, 1233, 1737, 3155, 20, 2654, 25515, 1160, 31388, 18, 1309, 1808, 85, 2307, 1006, 12579, 1962, 2306, 7464, 1009, 18185, 1094, 3593, 4350, 7994, 1017, 7897, 1060, 1641, 1059, 31, 1175, 16740, 1060, 11035, 20180, 1467, 6922, 1049, 10840, 1096, 1026, 1853, 2269, 1068, 1058, 9245, 1024, 1054, 4732, 1009, 2419, 3803, 22753, 1213, 2790, 1060, 5561, 1606, 90, 72, 3539, 76, 14714, 1317, 2613, 3926, 1006, 6500, 5046, 1009, 8994, 18, 1571, 1837, 4874, 1068, 2073, 7632, 1060, 5253, 3590, 1145, 1009, 20958, 29253, 7529, 9245, 1140, 1072, 30614, 1045, 1134, 2448, 2231, 3274, 1916, 17120, 1089, 1026, 6072, 10472, 9889, 1005, 2947, 4564, 1837, 1782, 4686, 1060, 6500, 1006, 5768, 20, 1776, 4449, 1006, 4054, 1503, 2168, 3877, 1054, 4972, 26035, 85, 10233, 1045, 26178, 1006, 1712, 1751, 1049, 3709, 6191, 28223, 1305, 1323, 20808, 1043, 11787, 1043, 5407, 20, 1138, 5603, 3134, 1668, 10840, 2340, 1096, 1094, 6317, 1060, 1641, 8734, 1009, 10190, 2972, 1005, 10610, 4543, 5436, 27353, 1346, 1096, 2486, 10686, 1114, 4149, 1565, 8602, 3696, 1124, 4268, 8619, 10672, 1312, 1271, 1184, 22241, 5281, 2170, 1068, 2306, 7464, 1009, 1094, 7901, 75, 1184, 10189, 1827, 6094, 18, 2653, 25265, 89, 4548, 3068, 2413, 1059, 1839, 1479, 1983, 1407, 1024, 1005, 26595, 1006, 1641, 1383, 1160, 1225, 3192, 1853, 1049, 1048, 22414, 1005, 26595, 1094, 1641, 1048, 1006, 4614, 1620, 1160, 6868, 7, 9663, 2781, 2350, 5795, 1271, 5220, 2159, 4068, 1118, 14714, 20, 9340, 1043, 2250, 9156, 26141, 1006, 1641, 1096, 1680, 7296, 5848, 2267, 21239, 1224, 5099, 17910, 1225, 30833, 1160, 26393, 1305, 7079, 5099, 7, 1073, 6799, 1072, 26813, 1048, 1298, 2997, 1058, 2637, 9207, 37, 4501, 4347, 1463, 11189, 1072, 7809, 1048, 1327, 1141, 1017, 5395, 13104, 1603, 1299, 3833, 5993, 10172, 1159, 1503, 1962, 1622, 4937, 1930, 5615, 1009, 1044, 5917, 92, 2575, 1225, 2289, 1962, 6423, 1558, 1188, 7, 21664, 1009, 2739, 6978, 2318, 1273, 10044, 1089, 5966, 1043, 1006, 2773, 1209, 19202, 20, 2013, 1026, 1853, 2788, 1962, 13365, 1026, 7079, 7322, 1043, 1026, 1853, 6072, 10472, 20, 1603, 1299, 2598, 15317, 1005, 1325, 16369, 2586, 2307, 1225, 1026, 8553, 29983, 1322, 1159, 5325, 1030, 1302, 17833, 4501, 4347, 1048, 1026, 2788, 1225, 2220, 1026, 28528, 1164, 1962, 1299, 4883, 1305, 5832, 1009, 2115, 1439, 20, 1134, 2059, 23029, 6788, 1299, 2900, 1118, 4539, 4650, 13946, 2307, 1005, 3241, 1132, 3460, 6022, 1009, 14843, 11131, 1016, 1005, 24792, 1009, 5099, 1962, 12212, 8934, 18640, 4578, 11901, 1930, 2307, 1299, 1225, 1094, 11011, 1149, 1009, 3918, 1009, 20958, 1068, 9854, 1428, 1058, 30622, 1072, 1235, 7346, 20, 1, 17729, 58, 58, 9225, 1068, 4465, 1294, 5891, 1009, 14508, 1009, 12513, 1175, 1134, 2302, 39, 11370, 1759, 51, 58, 58, 9225, 1068, 4465, 1294, 5891, 1009, 14508, 1009, 12513, 1433, 21062, 3430, 4093, 1026, 12271, 1060, 16221, 1005, 1006, 6937, 1187, 4278, 1009, 18420, 1114, 19688, 1048, 8930, 22416, 1094, 8011, 5893, 1112, 1271, 5567, 31861, 10028, 1096, 2204, 1939, 1026, 4465, 1060, 5020, 1009, 7471, 14888, 1157, 1463, 4268, 1005, 27418, 1580, 1009, 5683, 1609, 80, 8668, 11938, 3904, 17770, 1318, 1026, 2285, 1009, 14508, 1009, 12513, 3590, 1166, 1060, 3845, 18766, 1272, 4708, 1009, 22787, 1005, 27858, 2794, 51, 58, 58, 1349, 18405, 1679, 3952, 1009, 3149, 1006, 3353, 3019, 4183, 9610, 1044, 4465, 10745, 1271, 6149, 15987, 19133, 1213, 1592, 3041, 1049, 1901, 4995, 3915, 3149, 1009, 4579, 1596, 19073, 3734, 22, 1251, 1038, 4837, 1717, 28425, 1049, 1901, 3388, 33, 1054, 2436, 1596, 3771, 26, 6149, 15987, 1717, 10565, 1009, 3209, 33, 1054, 3370, 1596, 2978, 2394, 1717, 1290, 33, 1005, 1054, 3353, 1596, 2971, 2525, 1717, 2971, 2394, 9354, 1858, 3742, 1654, 1060, 17729, 58, 11151, 1049, 4632, 23933, 27013, 1071, 4326, 23245, 1005, 1060, 10191, 1009, 2689, 1031, 6091, 1009, 27858, 1009, 26049, 2663, 22348, 1368, 16075, 2201, 29333, 1060, 17729, 58, 11151, 15244, 1128, 2057, 1400, 24201, 1006, 4493, 1049, 5085, 1726, 8533, 1005, 14534, 1394, 1009, 12513, 1068, 1058, 4379, 14508, 20, 20577, 1783, 1826, 19850, 1006, 4524, 2979, 1009, 6711, 1124, 6296, 11683, 1412, 1124, 7648, 27847, 18, 1118, 3018, 12385, 1006, 20896, 1072, 29515, 9744, 14429, 1184, 7471, 1005, 1783, 14888, 1157, 1005, 1096, 1966, 1012, 13131, 1261, 1176, 1302, 1272, 1072, 12513, 1068, 1048, 14508, 4444, 28585, 3983, 1138, 5085, 1726, 8533, 1005, 14534, 1394, 5898, 1847, 6407, 1005, 2120 ]

[ 1184, 8690, 1726, 29185, 3739, 2602, 3659, 2691, 14371, 1016, 2132, 19776, 11341, 5133, 5103, 28201, 5399, 3312, 14856, 1837, 2250, 1048, 4319, 1184, 1009, 3886, 1783, 4324, 1201, 1412, 1132, 8639, 1704, 15334, 1160, 1096, 7916, 1005, 1026, 3489, 1096, 1048, 1668, 2374, 2373, 89, 7393, 3630, 4324, 1043, 7530, 1054, 2539, 1572, 6469, 1060, 12873, 2373, 25338, 18657, 1006, 23554, 76, 2732, 18, 5023, 89, 2166, 7712, 1103, 2032, 0, 12151, 1006, 2539, 1015, 1389, 4261, 1048, 1327, 3739, 1402, 1072, 1531, 3388, 1206, 1495, 1592, 1072, 3266, 10987, 1138, 3311, 1009, 8685, 1096, 1927, 3994, 1233, 10740, 26746, 1068, 1048, 2374, 2481, 21021, 1800, 1044, 9869, 1054, 3227, 4324, 7319, 1412, 1132, 19020, 1704, 2373, 56, 19118, 1726, 19436, 1016, 626, 1096, 1044, 2417, 19427, 1118, 2373, 28054, 1219, 1005, 3680, 1048, 18631, 1009, 9791, 1009, 3073, 7043, 1387, 19473, 1026, 7482, 1048, 4319, 1118, 1668, 7867, 1009, 2156, 16641, 1213, 1884, 15112, 20, 9340, 2306, 1160, 7464, 1009, 2556, 1016, 1298, 3505, 2170, 1495, 2306, 19382, 5587, 1026, 1080, 2628, 1810, 626, 1533, 4455, 1114, 19234, 9953, 5934, 1986, 1044, 13133, 3330, 1357, 1584, 8196, 2275, 2373, 23302, 11860, 1043, 1006, 3028, 4281, 1068, 3371, 1006, 1261, 1184, 5802, 20, 8601, 4604, 1026, 11391, 1096, 3330, 2691, 4268, 1049, 1572, 8015, 6718, 2309, 3328, 1033, 28441, 5322, 1005, 2697, 1508, 3994, 1233, 16115, 1187, 1106, 3020, 5568, 2477, 1229, 1072, 7341, 1060, 1062, 3843, 2320, 6995, 4666, 1531, 4803, 22431, 1009, 8006, 4324, 2728, 2644, 6383, 88, 6369, 1005, 15463, 15792, 1620, 1026, 13133, 32, 2373, 19458, 5692, 1870, 1005, 6678, 2156, 5249, 1273, 1298, 2067, 3144, 7672, 5037, 14208, 1005, 16735, 1009, 2556, 1016, 1005, 1009, 8667, 1930, 1048, 2551, 1231, 1072, 11348, 56, 19118, 1726, 19436, 1016, 31053, 1048, 3230, 11270, 4929, 1068, 1132, 4305, 4324, 4745, 6422, 20, 1, 2034, 8186, 1060, 2423, 1058, 13275, 1027, 1068, 1044, 17872, 7071, 1091, 1005, 26578, 1213, 5595, 1068, 1006, 1123, 1137, 1694, 22026, 29580, 18, 1094, 12205, 1048, 10381, 1140, 3453, 1068, 7213, 1043, 10553, 1048, 1160, 1693, 6622, 1118, 4618, 1711, 1114, 15628, 1307, 1009, 12673, 1072, 2045, 2231, 21931, 22453, 3694, 1054, 7365, 11358, 3812, 1208, 21622, 16140, 9688, 89, 1711, 3688, 1048, 4955, 1044, 2417, 4374, 2389, 1009, 13588, 5447, 1118, 23395, 1344, 1093, 2807, 1014, 1711, 5544, 9728, 1072, 3366, 1005, 22341, 1043, 18446, 6880, 1009, 23395, 9941, 1024, 2586, 4510, 5206, 1133, 12917, 2255, 5059, 2958, 24377, 1165, 4358, 7384, 4387, 18534, 1324, 8904, 22073, 1485, 2975, 22681, 4264, 30057, 1005, 1734, 14805, 1229, 2966, 1006, 4455, 1009, 1044, 8187, 11355, 1048, 2177, 10331, 1072, 3681, 1048, 3904, 6843, 1095, 1350, 1136, 22246, 4269, 1182, 5209, 83, 18170, 12256, 16258, 22303, 82, 18639, 1479, 1134, 152, 6120, 8914, 29298, 8556, 5357, 2536, 25537, 28165, 1044, 1424, 19108, 31758, 1024, 21567, 5, 295, 29298, 8556, 9891, 29077, 1084, 4066, 1467, 45, 2606, 7826, 2818, 1067, 10717, 15772, 1605, 22303, 82, 18639, 1175, 1134, 152, 6120, 1096, 1044, 11680, 3498, 1459, 8481, 1118, 7886, 1049, 1163, 4074, 1144, 13, 5143, 1018, 1005, 1456, 30427, 3288, 20, 1138, 2788, 1096, 10215, 14789, 1043, 20807, 2266, 1322, 1006, 3688, 1005, 9918, 2034, 4601, 18503, 2307, 1327, 1009, 1344, 8193, 1342, 4341, 96, 30666, 4137, 1397, 3039, 3092, 1049, 1163, 4074, 1144, 13, 5143, 1018, 1704, 84, 3153, 2271, 32, 9801, 1009, 9724, 1009, 3837, 22086, 1727, 22086, 1727, 1067, 3257, 1024, 1026, 3681, 3049, 6391, 3113, 6391, 3268, 6391, 3042, 6391, 3383, 6391, 3353, 6391, 3370, 6391, 2436, 6391, 3149, 6391, 3261, 6391, 3403, 6391, 2992, 6391, 3049, 4579, 3113, 4579, 3268, 4579, 3042, 4579, 3383, 4579, 3353, 4579, 3370, 4579, 2436, 4579, 3149, 4579, 3261, 4579, 3403, 4579, 2992, 4579, 3049, 3209, 3113, 3209, 3268, 3209, 3042, 3209, 3383, 3209, 3353, 3209, 3370, 3209, 2436, 3209, 3149, 3209, 3261, 3209, 3403, 3209, 2992, 3209, 3049, 4229, 3113, 4229, 3268, 4229, 3042, 4229, 3383, 4229, 3353, 4229, 3370, 4229, 2436, 4229, 3149, 4229, 3261, 4229, 3403, 4229, 2992, 4229, 3049, 4053, 3113, 4053, 3268, 4053, 3042, 4053, 3383, 4053, 3353, 4053, 3370, 4053, 2436, 4053, 3149, 4053, 3261, 4053, 3403, 4053, 2992, 4053, 3049, 4161, 3113, 4161, 3268, 4161, 3042, 4161, 3383, 4161, 3353, 4161, 3370, 4161, 2436, 4161, 3149, 4161, 3261, 4161, 3403, 4161, 2992, 4161, 3049, 3973, 3113, 3973, 3268, 3973, 3042, 3973, 3383, 3973, 3353, 3973, 3370, 3973, 2436, 3973, 3149, 3973, 3261, 3973, 3403, 3973, 2992, 3973, 3049, 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, 2992, 4127, 1, 30132, 151, 18, 1026, 14460, 3797, 1135, 1005, 1030, 2974, 32, 1543, 2731, 9808, 1005, 3161, 1054, 4790, 78, 10287, 8094, 7273, 1009, 12216, 16098, 3130, 8525, 26005, 11889, 1478, 1009, 30132, 14218, 3797, 1122, 1656, 15950, 1532, 1026, 2017, 9808, 22788, 19, 4058, 8468, 1734, 1620, 2768, 1046, 16499, 1043, 1132, 2425, 1209, 1049, 13202, 1042, 18704, 1009, 9808, 1005, 3161, 1175, 1006, 11315, 1159, 3616, 1009, 3680, 1005, 2623, 1095, 22083, 1633, 7451, 5138, 1009, 4106, 1206, 30825, 13589, 7874, 8416, 1992, 1356, 1784, 1005, 8489, 1656, 1026, 1169, 3817, 25356, 1009, 2821, 3890, 17949, 1006, 14405, 14965, 1026, 30913, 5457, 1054, 4790, 78, 10287, 1005, 1006, 4317, 4159, 1026, 22613, 25601, 1009, 1044, 16871, 1009, 10095, 28539, 1416, 37, 1603, 1006, 1224, 4599, 1096, 1026, 19640, 2647, 1026, 1235, 5675, 2939, 7261, 1096, 1006, 1008, 2140, 2112, 32, 1072, 1235, 3129, 1009, 10852, 1060, 6475, 1149, 19711, 1551, 24106, 1006, 8258, 1005, 25455, 2653, 16787, 1067, 5439, 1010, 1009, 1622, 1005, 3967, 3817, 4475, 23665, 2386, 1175, 1060, 1015, 4712, 1074, 75, 2386, 1175, 21945, 1069, 1998, 2481, 8548, 1233, 37, 2013, 18, 15345, 1006, 3486, 6711, 1005, 1006, 1224, 26884, 1154, 14752, 3694, 1048, 5325, 1159, 21708, 1530, 1060, 4281, 1009, 6916, 1796, 1069, 2904, 16397, 4889, 1005, 11211, 1221, 5795, 3378, 3622, 1005, 2799, 95, 8313, 7836, 7842, 1600, 1162, 1026, 1048, 6593, 3763, 2447, 8250, 1101, 1946, 20, 2968, 1140, 3474, 2860, 1067, 11744, 1163, 1401, 3461, 1072, 1796, 1526, 1307, 1946, 20, 1063, 5217, 1197, 1076, 1060, 15074, 3699, 2669, 1009, 27496, 1529, 1016, 3178, 5147, 2251, 23384, 2872, 20, 1134, 3293, 1077, 1163, 1401, 3461, 3939, 2872, 20, 1073, 2770, 4323, 29083, 1312, 25913, 2288, 1022, 1032, 2801, 1009, 4790, 78, 10287, 8250, 3186, 2872, 20, 25913, 23240, 2783, 1004, 26, 24659, 1819, 3699, 3461, 26862, 2872, 20, 25913, 18290, 1140, 6485, 1109, 1335, 1810, 9417, 2872, 20, 1603, 4484, 4790, 78, 10287, 15818, 2447, 8250, 1101, 1946, 18868, 1331, 1209, 1384, 3622, 4790, 22387, 1175, 1796, 1708, 1068, 6812, 26556, 1605, 12800, 3797, 1122, 1656, 15950, 1532, 1026, 2017, 9808, 22788, 4058, 8468, 1734, 1620, 2768, 1046, 16499, 1043, 1132, 2425, 1209, 1049, 13202, 1042, 18704, 1009, 9808, 1005, 17475, 1175, 1006, 11315, 1159, 3616, 1009, 3680, 1005, 2623, 1095, 19320, 2013, 5639, 1048, 6293, 1006, 6627, 2952, 1060, 2316, 1889, 2730, 3428, 19665, 1509, 2270, 3735, 27079, 1006, 4790, 78, 10287, 1175, 1005, 1159, 2909, 1009, 9212, 1175, 5317, 30132, 1054, 2693, 1006, 1751, 20, 4634, 10670, 10171, 30132, 1096, 1026, 1720, 1009, 1094, 1271, 3145, 3235, 1009, 5407, 5657, 10636, 1603, 1006, 1224, 4599, 1096, 1026, 19640, 2647, 1026, 1235, 5675, 2939, 7261, 1096, 1006, 1008, 2140, 2112, 32, 1072, 1235, 3129, 1009, 10852, 1060, 6475, 1149, 19711, 1551, 24106, 1006, 8258, 1005, 25455, 2653, 16787, 1067, 5439, 1010, 1009, 1622, 1005, 3967, 3817, 4475, 23665, 2386, 1175, 1060, 1015, 4712, 1074, 75, 2386, 1175, 21945, 1069, 1357, 1998, 2481, 8548, 1233, 37, 2013, 18, 15345, 1006, 3486, 6711, 1005, 1006, 1224, 26884, 1154, 14752, 3694, 1048, 5325, 1159, 21708, 1530, 1060, 4281, 1009, 6916, 1796, 1069, 7358, 1280, 1194, 13153, 1449, 4457, 31250, 3056, 1058, 1333, 1009, 9670, 1646, 1005, 1503, 4929, 10069, 1118, 14328, 2878, 12149, 10070, 1646, 1175, 10655, 10484, 9629, 1066, 1317, 19105, 1068, 1624, 1016, 9583, 22083, 1542, 31430, 1009, 16124, 31291, 10070, 2864, 1309, 1493, 10472, 18742, 1377, 9627, 9381, 6471, 1493, 1072, 2317, 1802, 4714, 7153, 29076, 7428, 1034, 3727, 1646, 1175, 2293, 1009, 3030, 1134, 1221, 1493, 24195, 1043, 1006, 4840, 1009, 1033, 21038, 1043, 1044, 2792, 19, 2806, 1004, 2784, 1503, 3100, 19267, 8536, 1309, 1006, 1403, 3180, 1029, 1342, 1009, 1044, 7246, 1548, 1202, 1065, 1610, 17469, 1323, 6733, 15065, 18794, 16847, 1294, 1734, 1090, 3983, 1, 18433, 1213, 5211, 1049, 1784, 1826, 19850, 1213, 7658, 18, 1206, 5159, 1157, 1006, 30490, 6202, 2315, 1048, 1026, 7658, 1213, 1428, 2922, 10514, 2177, 3630, 1049, 7658, 1048, 1808, 1508, 20, 1063, 3722, 1009, 2011, 1325, 1752, 1472, 1184, 3956, 16104, 1043, 6044, 7187, 1072, 7658, 18, 1054, 2573, 1206, 1054, 1734, 6453, 1711, 1005, 1006, 4716, 1009, 10638, 1294, 8004, 1009, 6127, 1096, 1184, 14181, 1049, 1048, 2598, 7297, 2512, 1048, 1124, 3088, 1029, 6481, 1026, 30965, 1005, 1006, 8899, 4126, 72, 1046, 1159, 1132, 8004, 1009, 2011, 1327, 9370, 1005, 7843, 1046, 2464, 1233, 4375, 1048, 5039, 1508, 1213, 7658, 18, 1124, 9007, 1009, 3182, 1048, 4319, 3004, 15108, 8307, 1027, 1178, 6645, 1312, 1006, 3606, 5480, 1009, 4524, 4908, 1901, 7755, 1890, 1026, 1062, 2390, 4872, 1324, 9301, 1800, 1006, 12420, 1009, 8004, 1009, 2011, 1072, 17378, 21454, 18, 12323, 1157, 1026, 3756, 1159, 1006, 1128, 5529, 1124, 3088, 1029, 1394, 1005, 1026, 30965, 12793, 8312, 1005, 5700, 1026, 5606, 1213, 7658, 2072, 17797, 1005, 2072, 7079, 2950, 17913, 3423, 1009, 3028, 4008, 1009, 10697, 1155, 6584, 1322, 31587, 2952, 1005, 8654, 1009, 4008, 14787, 1126, 4319, 1006, 12503, 1009, 19013, 6099, 1009, 14980, 21933, 1068, 1664, 1132, 8004, 1009, 2011, 1048, 6583, 1044, 7044, 1062, 2390, 5171, 1774, 16598, 11873, 1291, 1213, 4449, 1068, 1184, 2266, 1322, 1132, 1858, 14211, 5262, 1068, 1132, 8004, 1009, 2011, 1072, 17378, 21454, 26032, 3102, 1132, 8255, 1271, 11253, 5171, 1774, 3769, 15323, 2695, 1528, 1005, 2430, 81, 1327, 27659, 1043, 11690, 1009, 6963, 4281, 1114, 5309, 1005, 20043, 1009, 2296, 1794, 1554, 10662, 1058, 1299, 12251, 1044, 5171, 1774, 3769, 1104, 9941, 1122, 4196, 1006, 1044, 5171, 1774, 2695, 1528, 1206, 1006, 1044, 5171, 1774, 3769, 1104, 6629, 12879, 1299, 3524, 150, 1858, 8008, 1322, 1006, 5789, 1049, 3563, 1005, 1006, 20919, 16633, 1533, 29394, 5171, 1774, 1096, 4310, 1009, 10927, 3530, 1858, 1054, 1765, 22364, 1005, 11504, 13479, 1005, 1176, 1653, 5345, 13044, 3592, 2266, 1826, 5262, 1114, 1881, 1183, 1271, 6000, 1009, 1664, 1132, 4085, 12082, 7, 12427, 1699, 3530, 1858, 1043, 3028, 10626, 1009, 2446, 1009, 3563, 1005, 11948, 1159, 2625, 4267, 3182, 1287, 13047, 1365, 4384, 7, 4956, 1298, 2593, 11729, 1048, 1124, 3168, 1161, 1009, 11769, 1327, 9673, 1009, 21921, 1664, 1132, 3171, 26329, 10662, 1006, 3364, 1271, 3168, 1161, 1009, 11769, 4277, 1657, 1006, 7898, 1009, 2490, 1271, 12297, 1009, 29632, 1160, 1044, 6083, 2317, 5145, 1009, 1159, 4088, 1327, 3711, 1274, 5010, 1424, 1026, 17378, 21454, 1005, 1006, 29394, 5171, 1774, 18, 1299, 2364, 1298, 1419, 1026, 2490, 2733, 1054, 1044, 3041, 1009, 2978, 9566, 1779, 2250, 1206, 2595, 2250, 11492, 1058, 5632, 1049, 2296, 17032, 1060, 5789, 1005, 1060, 20919, 1054, 1044, 16664, 1132, 8654, 1327, 4412, 20, 1776, 17378, 21454, 18, 1299, 1298, 1419, 1132, 3408, 26480, 1005, 14787, 1010, 1048, 3530, 28275, 2683, 1202, 1054, 1044, 3041, 4014, 1599, 2247, 1009, 1419, 1058, 1132, 3408, 1826, 2453, 1009, 1094, 6116, 13466, 8342, 12509, 3530, 8654, 1327, 17517, 1118, 12356, 1009, 2303, 1043, 7676, 1322, 10457, 21768, 1009, 3649, 1704, 21765, 1298, 13584, 18622, 15419, 1006, 3450, 1271, 10142, 4871, 16006, 6626, 1072, 3182, 1009, 10864, 2656, 1837, 3192, 8976, 1049, 1048, 12480, 1345, 2162, 1069, 1005, 11307, 1048, 1026, 29386, 1040, 1060, 6127, 20, 1776, 17378, 21454, 18, 1096, 4445, 7449, 1006, 3865, 1187, 3171, 1009, 12480, 1711, 1726, 6236, 1132, 30908, 4340, 1693, 2593, 1613, 4975, 2296, 29982, 1159, 1132, 1049, 1238, 19, 27988, 1599, 1206, 1693, 2593, 23416, 1054, 6453, 19598, 3983, 12710, 1299, 1298, 9135, 1009, 1579, 1637, 1005, 2990, 1053, 10380, 1026, 2863, 25461, 10199, 1184, 1322, 1026, 1062, 2390, 5171, 1774 ]

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

[ 1184, 8690, 1726, 29185, 3739, 2602, 3659, 2691, 14371, 1016, 2132, 19776, 11341, 5133, 5103, 28201, 5399, 3312, 14856, 1837, 2250, 1048, 4319, 1184, 1009, 3886, 1783, 4324, 1201, 1412, 1132, 8639, 1704, 15334, 1160, 1096, 7916, 1005, 1026, 3489, 1096, 1048, 1668, 2374, 2373, 89, 7393, 3630, 4324, 1043, 7530, 1054, 2539, 1572, 6469, 1060, 12873, 2373, 25338, 18657, 1006, 23554, 76, 2732, 18, 5023, 89, 2166, 7712, 1103, 2032, 0, 12151, 1006, 2539, 1015, 1389, 4261, 1048, 1327, 3739, 1402, 1072, 1531, 3388, 1206, 1495, 1592, 1072, 3266, 10987, 1138, 3311, 1009, 8685, 1096, 1927, 3994, 1233, 10740, 26746, 1068, 1048, 2374, 2481, 21021, 1800, 1044, 9869, 1054, 3227, 4324, 7319, 1412, 1132, 19020, 1704, 2373, 56, 19118, 1726, 19436, 1016, 626, 1096, 1044, 2417, 19427, 1118, 2373, 28054, 1219, 1005, 3680, 1048, 18631, 1009, 9791, 1009, 3073, 7043, 1387, 19473, 1026, 7482, 1048, 4319, 1118, 1668, 7867, 1009, 2156, 16641, 1213, 1884, 15112, 20, 9340, 2306, 1160, 7464, 1009, 2556, 1016, 1298, 3505, 2170, 1495, 2306, 19382, 5587, 1026, 1080, 2628, 1810, 626, 1533, 4455, 1114, 19234, 9953, 5934, 1986, 1044, 13133, 3330, 1357, 1584, 8196, 2275, 2373, 23302, 11860, 1043, 1006, 3028, 4281, 1068, 3371, 1006, 1261, 1184, 5802, 20, 8601, 4604, 1026, 11391, 1096, 3330, 2691, 4268, 1049, 1572, 8015, 6718, 2309, 3328, 1033, 28441, 5322, 1005, 2697, 1508, 3994, 1233, 16115, 1187, 1106, 3020, 5568, 2477, 1229, 1072, 7341, 1060, 1062, 3843, 2320, 6995, 4666, 1531, 4803, 22431, 1009, 8006, 4324, 2728, 2644, 6383, 88, 6369, 1005, 15463, 15792, 1620, 1026, 13133, 32, 2373, 19458, 5692, 1870, 1005, 6678, 2156, 5249, 1273, 1298, 2067, 3144, 7672, 5037, 14208, 1005, 16735, 1009, 2556, 1016, 1005, 1009, 8667, 1930, 1048, 2551, 1231, 1072, 11348, 56, 19118, 1726, 19436, 1016, 31053, 1048, 3230, 11270, 4929, 1068, 1132, 4305, 4324, 4745, 6422, 20, 1, 2034, 8186, 1060, 2423, 1058, 13275, 1027, 1068, 1044, 17872, 7071, 1091, 1005, 26578, 1213, 5595, 1068, 1006, 1123, 1137, 1694, 22026, 29580, 18, 1094, 12205, 1048, 10381, 1140, 3453, 1068, 7213, 1043, 10553, 1048, 1160, 1693, 6622, 1118, 4618, 1711, 1114, 15628, 1307, 1009, 12673, 1072, 2045, 2231, 21931, 22453, 3694, 1054, 7365, 11358, 3812, 1208, 21622, 16140, 9688, 89, 1711, 3688, 1048, 4955, 1044, 2417, 4374, 2389, 1009, 13588, 5447, 1118, 23395, 1344, 1093, 2807, 1014, 1711, 5544, 9728, 1072, 3366, 1005, 22341, 1043, 18446, 6880, 1009, 23395, 9941, 1024, 2586, 4510, 5206, 1133, 12917, 2255, 5059, 2958, 24377, 1165, 4358, 7384, 4387, 18534, 1324, 8904, 22073, 1485, 2975, 22681, 4264, 30057, 1005, 1734, 14805, 1229, 2966, 1006, 4455, 1009, 1044, 8187, 11355, 1048, 2177, 10331, 1072, 3681, 1048, 3904, 6843, 1095, 1350, 1136, 22246, 4269, 1182, 5209, 83, 18170, 12256, 16258, 22303, 82, 18639, 1479, 1134, 152, 6120, 8914, 29298, 8556, 5357, 2536, 25537, 28165, 1044, 1424, 19108, 31758, 1024, 21567, 5, 295, 29298, 8556, 9891, 29077, 1084, 4066, 1467, 45, 2606, 7826, 2818, 1067, 10717, 15772, 1605, 22303, 82, 18639, 1175, 1134, 152, 6120, 1096, 1044, 11680, 3498, 1459, 8481, 1118, 7886, 1049, 1163, 4074, 1144, 13, 5143, 1018, 1005, 1456, 30427, 3288, 20, 1138, 2788, 1096, 10215, 14789, 1043, 20807, 2266, 1322, 1006, 3688, 1005, 9918, 2034, 4601, 18503, 2307, 1327, 1009, 1344, 8193, 1342, 4341, 96, 30666, 4137, 1397, 3039, 3092, 1049, 1163, 4074, 1144, 13, 5143, 1018, 1704, 84, 3153, 2271, 32, 9801, 1009, 9724, 1009, 3837, 22086, 1727, 22086, 1727, 1067, 3257, 1024, 1026, 3681, 3049, 6391, 3113, 6391, 3268, 6391, 3042, 6391, 3383, 6391, 3353, 6391, 3370, 6391, 2436, 6391, 3149, 6391, 3261, 6391, 3403, 6391, 2992, 6391, 3049, 4579, 3113, 4579, 3268, 4579, 3042, 4579, 3383, 4579, 3353, 4579, 3370, 4579, 2436, 4579, 3149, 4579, 3261, 4579, 3403, 4579, 2992, 4579, 3049, 3209, 3113, 3209, 3268, 3209, 3042, 3209, 3383, 3209, 3353, 3209, 3370, 3209, 2436, 3209, 3149, 3209, 3261, 3209, 3403, 3209, 2992, 3209, 3049, 4229, 3113, 4229, 3268, 4229, 3042, 4229, 3383, 4229, 3353, 4229, 3370, 4229, 2436, 4229, 3149, 4229, 3261, 4229, 3403, 4229, 2992, 4229, 3049, 4053, 3113, 4053, 3268, 4053, 3042, 4053, 3383, 4053, 3353, 4053, 3370, 4053, 2436, 4053, 3149, 4053, 3261, 4053, 3403, 4053, 2992, 4053, 3049, 4161, 3113, 4161, 3268, 4161, 3042, 4161, 3383, 4161, 3353, 4161, 3370, 4161, 2436, 4161, 3149, 4161, 3261, 4161, 3403, 4161, 2992, 4161, 3049, 3973, 3113, 3973, 3268, 3973, 3042, 3973, 3383, 3973, 3353, 3973, 3370, 3973, 2436, 3973, 3149, 3973, 3261, 3973, 3403, 3973, 2992, 3973, 3049, 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, 2992, 4127, 1, 30132, 151, 18, 1026, 14460, 3797, 1135, 1005, 1030, 2974, 32, 1543, 2731, 9808, 1005, 3161, 1054, 4790, 78, 10287, 8094, 7273, 1009, 12216, 16098, 3130, 8525, 26005, 11889, 1478, 1009, 30132, 14218, 3797, 1122, 1656, 15950, 1532, 1026, 2017, 9808, 22788, 19, 4058, 8468, 1734, 1620, 2768, 1046, 16499, 1043, 1132, 2425, 1209, 1049, 13202, 1042, 18704, 1009, 9808, 1005, 3161, 1175, 1006, 11315, 1159, 3616, 1009, 3680, 1005, 2623, 1095, 22083, 1633, 7451, 5138, 1009, 4106, 1206, 30825, 13589, 7874, 8416, 1992, 1356, 1784, 1005, 8489, 1656, 1026, 1169, 3817, 25356, 1009, 2821, 3890, 17949, 1006, 14405, 14965, 1026, 30913, 5457, 1054, 4790, 78, 10287, 1005, 1006, 4317, 4159, 1026, 22613, 25601, 1009, 1044, 16871, 1009, 10095, 28539, 1416, 37, 1603, 1006, 1224, 4599, 1096, 1026, 19640, 2647, 1026, 1235, 5675, 2939, 7261, 1096, 1006, 1008, 2140, 2112, 32, 1072, 1235, 3129, 1009, 10852, 1060, 6475, 1149, 19711, 1551, 24106, 1006, 8258, 1005, 25455, 2653, 16787, 1067, 5439, 1010, 1009, 1622, 1005, 3967, 3817, 4475, 23665, 2386, 1175, 1060, 1015, 4712, 1074, 75, 2386, 1175, 21945, 1069, 1998, 2481, 8548, 1233, 37, 2013, 18, 15345, 1006, 3486, 6711, 1005, 1006, 1224, 26884, 1154, 14752, 3694, 1048, 5325, 1159, 21708, 1530, 1060, 4281, 1009, 6916, 1796, 1069, 2904, 16397, 4889, 1005, 11211, 1221, 5795, 3378, 3622, 1005, 2799, 95, 8313, 7836, 7842, 1600, 1162, 1026, 1048, 6593, 3763, 2447, 8250, 1101, 1946, 20, 2968, 1140, 3474, 2860, 1067, 11744, 1163, 1401, 3461, 1072, 1796, 1526, 1307, 1946, 20, 1063, 5217, 1197, 1076, 1060, 15074, 3699, 2669, 1009, 27496, 1529, 1016, 3178, 5147, 2251, 23384, 2872, 20, 1134, 3293, 1077, 1163, 1401, 3461, 3939, 2872, 20, 1073, 2770, 4323, 29083, 1312, 25913, 2288, 1022, 1032, 2801, 1009, 4790, 78, 10287, 8250, 3186, 2872, 20, 25913, 23240, 2783, 1004, 26, 24659, 1819, 3699, 3461, 26862, 2872, 20, 25913, 18290, 1140, 6485, 1109, 1335, 1810, 9417, 2872, 20, 1603, 4484, 4790, 78, 10287, 15818, 2447, 8250, 1101, 1946, 18868, 1331, 1209, 1384, 3622, 4790, 22387, 1175, 1796, 1708, 1068, 6812, 26556, 1605, 12800, 3797, 1122, 1656, 15950, 1532, 1026, 2017, 9808, 22788, 4058, 8468, 1734, 1620, 2768, 1046, 16499, 1043, 1132, 2425, 1209, 1049, 13202, 1042, 18704, 1009, 9808, 1005, 17475, 1175, 1006, 11315, 1159, 3616, 1009, 3680, 1005, 2623, 1095, 19320, 2013, 5639, 1048, 6293, 1006, 6627, 2952, 1060, 2316, 1889, 2730, 3428, 19665, 1509, 2270, 3735, 27079, 1006, 4790, 78, 10287, 1175, 1005, 1159, 2909, 1009, 9212, 1175, 5317, 30132, 1054, 2693, 1006, 1751, 20, 4634, 10670, 10171, 30132, 1096, 1026, 1720, 1009, 1094, 1271, 3145, 3235, 1009, 5407, 5657, 10636, 1603, 1006, 1224, 4599, 1096, 1026, 19640, 2647, 1026, 1235, 5675, 2939, 7261, 1096, 1006, 1008, 2140, 2112, 32, 1072, 1235, 3129, 1009, 10852, 1060, 6475, 1149, 19711, 1551, 24106, 1006, 8258, 1005, 25455, 2653, 16787, 1067, 5439, 1010, 1009, 1622, 1005, 3967, 3817, 4475, 23665, 2386, 1175, 1060, 1015, 4712, 1074, 75, 2386, 1175, 21945, 1069, 1357, 1998, 2481, 8548, 1233, 37, 2013, 18, 15345, 1006, 3486, 6711, 1005, 1006, 1224, 26884, 1154, 14752, 3694, 1048, 5325, 1159, 21708, 1530, 1060, 4281, 1009, 6916, 1796, 1069, 7358, 1280, 1194, 13153, 1449, 4457, 31250, 3056, 1058, 1333, 1009, 9670, 1646, 1005, 1503, 4929, 10069, 1118, 14328, 2878, 12149, 10070, 1646, 1175, 10655, 10484, 9629, 1066, 1317, 19105, 1068, 1624, 1016, 9583, 22083, 1542, 31430, 1009, 16124, 31291, 10070, 2864, 1309, 1493, 10472, 18742, 1377, 9627, 9381, 6471, 1493, 1072, 2317, 1802, 4714, 7153, 29076, 7428, 1034, 3727, 1646, 1175, 2293, 1009, 3030, 1134, 1221, 1493, 24195, 1043, 1006, 4840, 1009, 1033, 21038, 1043, 1044, 2792, 19, 2806, 1004, 2784, 1503, 3100, 19267, 8536, 1309, 1006, 1403, 3180, 1029, 1342, 1009, 1044, 7246, 1548, 1202, 1065, 1610, 17469, 1323, 6733, 15065, 18794, 16847, 1294, 1734, 1090, 3983, 1, 18433, 1213, 5211, 1049, 1784, 1826, 19850, 1213, 7658, 18, 1206, 5159, 1157, 1006, 30490, 6202, 2315, 1048, 1026, 7658, 1213, 1428, 2922, 10514, 2177, 3630, 1049, 7658, 1048, 1808, 1508, 20, 1063, 3722, 1009, 2011, 1325, 1752, 1472, 1184, 3956, 16104, 1043, 6044, 7187, 1072, 7658, 18, 1054, 2573, 1206, 1054, 1734, 6453, 1711, 1005, 1006, 4716, 1009, 10638, 1294, 8004, 1009, 6127, 1096, 1184, 14181, 1049, 1048, 2598, 7297, 2512, 1048, 1124, 3088, 1029, 6481, 1026, 30965, 1005, 1006, 8899, 4126, 72, 1046, 1159, 1132, 8004, 1009, 2011, 1327, 9370, 1005, 7843, 1046, 2464, 1233, 4375, 1048, 5039, 1508, 1213, 7658, 18, 1124, 9007, 1009, 3182, 1048, 4319, 3004, 15108, 8307, 1027, 1178, 6645, 1312, 1006, 3606, 5480, 1009, 4524, 4908, 1901, 7755, 1890, 1026, 1062, 2390, 4872, 1324, 9301, 1800, 1006, 12420, 1009, 8004, 1009, 2011, 1072, 17378, 21454, 18, 12323, 1157, 1026, 3756, 1159, 1006, 1128, 5529, 1124, 3088, 1029, 1394, 1005, 1026, 30965, 12793, 8312, 1005, 5700, 1026, 5606, 1213, 7658, 2072, 17797, 1005, 2072, 7079, 2950, 17913, 3423, 1009, 3028, 4008, 1009, 10697, 1155, 6584, 1322, 31587, 2952, 1005, 8654, 1009, 4008, 14787, 1126, 4319, 1006, 12503, 1009, 19013, 6099, 1009, 14980, 21933, 1068, 1664, 1132, 8004, 1009, 2011, 1048, 6583, 1044, 7044, 1062, 2390, 5171, 1774, 16598, 11873, 1291, 1213, 4449, 1068, 1184, 2266, 1322, 1132, 1858, 14211, 5262, 1068, 1132, 8004, 1009, 2011, 1072, 17378, 21454, 26032, 3102, 1132, 8255, 1271, 11253, 5171, 1774, 3769, 15323, 2695, 1528, 1005, 2430, 81, 1327, 27659, 1043, 11690, 1009, 6963, 4281, 1114, 5309, 1005, 20043, 1009, 2296, 1794, 1554, 10662, 1058, 1299, 12251, 1044, 5171, 1774, 3769, 1104, 9941, 1122, 4196, 1006, 1044, 5171, 1774, 2695, 1528, 1206, 1006, 1044, 5171, 1774, 3769, 1104, 6629, 12879, 1299, 3524, 150, 1858, 8008, 1322, 1006, 5789, 1049, 3563, 1005, 1006, 20919, 16633, 1533, 29394, 5171, 1774, 1096, 4310, 1009, 10927, 3530, 1858, 1054, 1765, 22364, 1005, 11504, 13479, 1005, 1176, 1653, 5345, 13044, 3592, 2266, 1826, 5262, 1114, 1881, 1183, 1271, 6000, 1009, 1664, 1132, 4085, 12082, 7, 12427, 1699, 3530, 1858, 1043, 3028, 10626, 1009, 2446, 1009, 3563, 1005, 11948, 1159, 2625, 4267, 3182, 1287, 13047, 1365, 4384, 7, 4956, 1298, 2593, 11729, 1048, 1124, 3168, 1161, 1009, 11769, 1327, 9673, 1009, 21921, 1664, 1132, 3171, 26329, 10662, 1006, 3364, 1271, 3168, 1161, 1009, 11769, 4277, 1657, 1006, 7898, 1009, 2490, 1271, 12297, 1009, 29632, 1160, 1044, 6083, 2317, 5145, 1009, 1159, 4088, 1327, 3711, 1274, 5010, 1424, 1026, 17378, 21454, 1005, 1006, 29394, 5171, 1774, 18, 1299, 2364, 1298, 1419, 1026, 2490, 2733, 1054, 1044, 3041, 1009, 2978, 9566, 1779, 2250, 1206, 2595, 2250, 11492, 1058, 5632, 1049, 2296, 17032, 1060, 5789, 1005, 1060, 20919, 1054, 1044, 16664, 1132, 8654, 1327, 4412, 20, 1776, 17378, 21454, 18, 1299, 1298, 1419, 1132, 3408, 26480, 1005, 14787, 1010, 1048, 3530, 28275, 2683, 1202, 1054, 1044, 3041, 4014, 1599, 2247, 1009, 1419, 1058, 1132, 3408, 1826, 2453, 1009, 1094, 6116, 13466, 8342, 12509, 3530, 8654, 1327, 17517, 1118, 12356, 1009, 2303, 1043, 7676, 1322, 10457, 21768, 1009, 3649, 1704, 21765, 1298, 13584, 18622, 15419, 1006, 3450, 1271, 10142, 4871, 16006, 6626, 1072, 3182, 1009, 10864, 2656, 1837, 3192, 8976, 1049, 1048, 12480, 1345, 2162, 1069, 1005, 11307, 1048, 1026, 29386, 1040, 1060, 6127, 20, 1776, 17378, 21454, 18, 1096, 4445, 7449, 1006, 3865, 1187, 3171, 1009, 12480, 1711, 1726, 6236, 1132, 30908, 4340, 1693, 2593, 1613, 4975, 2296, 29982, 1159, 1132, 1049, 1238, 19, 27988, 1599, 1206, 1693, 2593, 23416, 1054, 6453, 19598, 3983, 12710, 1299, 1298, 9135, 1009, 1579, 1637, 1005, 2990, 1053, 10380, 1026, 2863, 25461, 10199, 1184, 1322, 1026, 1062, 2390, 5171, 1774 ]

[ 12842, 4199, 3504, 22388, 1447, 1242, 1068, 4677, 88, 1300, 1075, 1036, 1940, 1958, 1112, 1072, 16291, 10814, 76, 1065, 5604, 1456, 5364, 8169, 3368, 5631, 1456, 5364, 2522, 17586, 2106, 1048, 1826, 8042, 1213, 5333, 24211, 1005, 11133, 1046, 2161, 1233, 1224, 10469, 3812, 1258, 4869, 1395, 1008, 3200, 1131, 1788, 1074, 16078, 2955, 6779, 21990, 5387, 17795, 1198, 1821, 4677, 88, 1300, 1075, 1036, 1797, 1189, 1789, 1075, 1036, 1050, 1497, 75, 1305, 8512, 1009, 3513, 25091, 1048, 1299, 4337, 2688, 22113, 7243, 1054, 1235, 16291, 1005, 1159, 13056, 1456, 3328, 8068, 1054, 1224, 7752, 1009, 26123, 1096, 1224, 1472, 1009, 2837, 1235, 16291, 20, 2656, 1058, 2522, 2059, 1005, 2504, 75, 2930, 2550, 1009, 16291, 1305, 3513, 1054, 5203, 27509, 18, 1096, 4445, 1009, 16466, 1005, 1096, 8934, 13266, 3812, 1258, 4869, 1395, 1008, 3200, 1131, 1788, 1074, 16078, 4677, 88, 1300, 1075, 1036, 1050, 1497, 75, 3909, 2292, 79, 8034, 8778, 82, 1578, 1006, 166, 1229, 14297, 2292, 79, 8034, 1015, 1447, 18690, 29182, 1075, 1036, 1050, 1497, 75, 1841, 6055, 18, 14297, 2292, 79, 8034, 29182, 1075, 1036, 1050, 1497, 75, 4933, 3617, 1, 11595, 2156, 9078, 7082, 1503, 20975, 11726, 3616, 1048, 2348, 4809, 1836, 2499, 4975, 1511, 1026, 3525, 1243, 1770, 7052, 1067, 2297, 1138, 69, 53, 1691, 4622, 7132, 1009, 3004, 1962, 3062, 1009, 21221, 1140, 25386, 20659, 1596, 1124, 1613, 2447, 1049, 26825, 17689, 1642, 1034, 1005, 29947, 1233, 5274, 1009, 3978, 1005, 2924, 15404, 1196, 12307, 1479, 1309, 1118, 9511, 11342, 31179, 3074, 2301, 1006, 12737, 1565, 1084, 11281, 1503, 1160, 1030, 15933, 4137, 2246, 10012, 1026, 5610, 5920, 7887, 1089, 1124, 3469, 1005, 1006, 1613, 1328, 12737, 1566, 10558, 1080, 1259, 75, 15017, 4064, 1094, 1287, 23097, 1048, 3768, 1114, 8946, 5160, 2088, 23849, 1009, 26951, 12334, 10373, 10277, 27532, 1349, 14456, 1068, 2348, 1935, 6800, 1048, 1998, 4540, 5172, 1511, 1503, 10551, 1006, 2349, 1017, 1005, 7619, 72, 2253, 3125, 19, 16, 3670, 2449, 2385, 1010, 3171, 1043, 5942, 1009, 3129, 1461, 2246, 1503, 12180, 1005, 4647, 4883, 2289, 1026, 1048, 10029, 1357, 3349, 1005, 1160, 1323, 1240, 5383, 1009, 1261, 3886, 2179, 5268, 28980, 1273, 1206, 1043, 8697, 4474, 1126, 1206, 1043, 14341, 1009, 16626, 1097, 1377, 1603, 1234, 4577, 11305, 23624, 1962, 11270, 1048, 1503, 23334, 2557, 85, 21, 21664, 9686, 1664, 1132, 16843, 1009, 2992, 1005, 3403, 1060, 6969, 1535, 1197, 9744, 1084, 1054, 1044, 20236, 16494, 1132, 4234, 4181, 20566, 1009, 1063, 1184, 11738, 24423, 29653, 1006, 3010, 13617, 1005, 5450, 1043, 3360, 3445, 1054, 1871, 1009, 4106, 1186, 25, 2324, 1627, 1160, 9695, 3192, 10204, 3048, 18001, 1006, 31759, 1309, 1826, 1114, 15842, 6770, 14079, 5956, 1048, 1837, 1307, 2250, 4064, 1138, 11399, 1271, 1067, 4348, 1170, 1043, 3805, 14662, 1005, 25737, 1009, 1138, 1831, 24550, 1530, 1049, 23682, 13474, 1034, 1060, 12948, 5451, 1243, 1186, 25, 1383, 1118, 23791, 2210, 2447, 1068, 1132, 10826, 6762, 1026, 14795, 1060, 7015, 1207, 3123, 9565, 1048, 1503, 7800, 79, 1009, 10373, 1024, 1349, 1048, 1503, 26213, 1072, 2788, 31168, 1114, 5171, 3590, 3198, 1089, 1118, 3810, 2246, 3897, 1096, 1044, 1080, 2628, 1810, 1048, 26909, 3291, 1026, 1048, 1006, 2924, 5471, 1072, 28182, 1068, 1048, 8935, 1005, 1058, 5325, 5613, 2848, 1317, 4736, 1016, 23290, 1327, 1060, 9008, 1241, 13359, 2618, 6152, 24270, 1138, 1061, 1005, 12990, 1009, 3700, 7150, 20, 5011, 17542, 2089, 2624, 1005, 7482, 23982, 9627, 7603, 2947, 1043, 1044, 10474, 1493, 2631, 1511, 1503, 2490, 1687, 1114, 28403, 24488, 11372, 3355, 1077, 16075, 18106, 1096, 1044, 5497, 19, 1974, 1348, 4139, 88, 2789, 5931, 4396, 16334, 5315, 6488, 15, 1043, 1048, 1485, 1342, 2246, 2092, 7603, 12604, 1094, 1028, 1107, 1609, 1009, 5503, 1625, 5781, 20, 2013, 1044, 16060, 1068, 1178, 3778, 1996, 1060, 2617, 22569, 2654, 1160, 2449, 2872, 1348, 1005, 1160, 5192, 1663, 2617, 1589, 1054, 4982, 24366, 2276, 1503, 5628, 1026, 16060, 18, 12720, 1026, 7603, 1058, 2435, 19030, 1005, 1008, 1885, 1137, 21142, 1138, 14341, 1096, 2631, 1005, 17485, 1049, 3435, 1704, 9458, 1009, 24918, 1096, 1049, 7833, 49, 1046, 5484, 1096, 1044, 13712, 2405, 1009, 24918, 1043, 9889, 6072, 5594, 17478, 22559, 14373, 2444, 1009, 2595, 1004, 1407, 5425, 4217, 3822, 18, 4145, 8575, 1072, 7603, 1005, 1044, 3435, 20717, 1043, 1132, 3195, 1009, 8340, 21524, 1704, 12115, 15830, 1096, 1026, 15963, 1070, 1418, 5945, 1262, 1341, 1163, 2758, 2356, 20881, 1188, 2804, 10442, 1667, 2654, 26213, 1251, 3899, 1048, 1516, 1044, 6985, 4602, 1009, 3700, 12438, 1054, 1006, 2989, 1078, 1068, 2997, 6185, 3125, 90, 1358, 1056, 16, 1072, 7603, 1996, 1009, 29304, 1309, 1096, 1044, 12791, 7, 7496, 4473, 1160, 1484, 1226, 1009, 4125, 1846, 1060, 1008, 1885, 1107, 21, 14029, 22569, 4115, 1026, 14341, 18505, 1009, 3396, 84, 1385, 1005, 1503, 2490, 1996, 1060, 1008, 1885, 1107, 1071, 3039, 1370, 1026, 1592, 2568, 1048, 1503, 26949, 1322, 85, 5647, 2789, 5931, 4396, 1565, 20203, 71, 1026, 7603, 14605, 3461, 10094, 1309, 1503, 6479, 2637, 1068, 2071, 1846, 1060, 1008, 1885, 1107, 1206, 1511, 1695, 1385, 1054, 2573, 1060, 11518, 1846, 1060, 9416, 4884, 1005, 1160, 4647, 18003, 1026, 7603, 2246, 1026, 2568, 1009, 6300, 1930, 9212, 1058, 2435, 1005, 1008, 1885, 2705, 1096, 1493, 5278, 1667, 1387, 1385, 1159, 1044, 1015, 3847, 1162, 85, 1006, 1058, 3426, 1309, 1048, 1998, 3960, 14795, 1005, 8575, 0, 7843, 1975, 30264, 1118, 23791, 4371, 1020, 1633, 1153, 90, 1342, 5561, 8607, 2013, 1094, 1048, 1485, 1342, 8133, 1236, 1054, 4863, 11669, 1048, 1298, 1178, 5483, 2129, 23735, 1996, 1206, 1846, 1060, 2617, 1589, 8520, 1885, 4385, 1159, 28403, 18, 1072, 2191, 1060, 10593, 1005, 1054, 2089, 9933, 20, 1063, 25613, 1096, 1680, 8133, 1236, 1005, 26497, 2669, 14278, 2574, 2444, 8133, 1236, 1005, 2444, 26497, 2669, 1048, 9458, 15221, 22026, 1068, 23400, 1349, 1206, 2374, 8935, 1159, 1044, 13712, 2405, 1009, 24918, 30961, 1503, 17542, 1054, 1094, 13425, 1014, 1990, 1384, 1239, 1005, 2092, 7603, 1325, 1680, 5049, 4475, 11735, 26820, 1089, 1043, 1094, 10593, 2536, 5270, 3728, 9008, 1241, 1218, 1005, 1846, 1168, 2903, 14065, 2122, 1048, 1485, 1342, 1005, 1008, 1885, 78, 10277, 1043, 1026, 7603, 1184, 1008, 21, 19091, 1048, 1008, 21, 15454, 4457, 1138, 14341, 1009, 14584, 1325, 18094, 16298, 1060, 2348, 4953, 1833, 1503, 5692, 19532, 2237, 4137, 1005, 13467, 1043, 1006, 4137, 1009, 1664, 1132, 3195, 1048, 1503, 2490, 1294, 4859, 10826, 9493, 1160, 7482, 1009, 4347, 1493, 1322, 3938, 1072, 20410, 1309, 1511, 20975, 1132, 1949, 3342, 1323, 3765, 6411, 1009, 13467, 1005, 6242, 2289, 1026, 1048, 1503, 2490, 9493, 2449, 4805, 14367, 1072, 7603, 1005, 1026, 2751, 2863, 1096, 3647, 1264, 1305, 10572, 1124, 24918, 1005, 3417, 1006, 11353, 1064, 4719, 1026, 1712, 1557, 2481, 1071, 1130, 1072, 14584, 1160, 1096, 18819, 1479, 3048, 1096, 22825, 1745, 6716, 1006, 11353, 1043, 4805, 8692, 1479, 1005, 1663, 2617, 1589, 8520, 1885, 1107, 1068, 19441, 5876, 1006, 11353, 7917, 30491, 1124, 24918, 1565, 8295, 2348, 3961, 1118, 3195, 5497, 19, 1974, 5783, 12128, 1295, 4050, 1005, 1048, 2213, 1040, 1006, 26820, 1024, 1005, 2997, 8575, 1072, 7603, 1096, 29672, 4908, 2803, 3074, 2301, 4270, 3628, 2252, 3592, 3044, 1279, 2447, 4593, 1280, 1132, 1307, 1015, 3847, 1162, 1010, 1005, 11715, 1544, 1005, 10593, 1048, 1160, 28248, 1114, 4137, 6983, 25338, 26949, 1060, 1048, 1485, 3097, 1049, 2790, 3615, 1225, 1026, 31777, 22736, 17378, 4264, 1956, 18, 1060, 1128, 8524, 17264, 2013, 30252, 20203, 71, 1026, 7603, 1680, 24697, 1100, 1309, 1160, 7917, 1043, 1026, 1033, 2432, 14370, 4115, 13396, 1005, 14341, 1009, 8697, 1009, 7603, 4043, 1418, 2863, 1043, 1264, 1096, 1048, 1026, 4168, 6733, 1124, 24918, 1680, 1064, 15686, 1005, 1503, 7482, 8545, 7616, 74, 13235, 1309, 2364, 3074, 4270, 1157, 1043, 1026, 5647, 2789, 5931, 4396, 1704, 13702, 47, 1096, 1044, 12791, 1318, 1068, 1249, 1130, 1439, 1072, 7603, 1996, 1060, 2617, 1589, 8520, 1885, 17488, 2654, 26213, 1264, 3994, 1043, 1044, 9458, 1060, 13702, 5529, 1309, 1160, 17485, 20, 2656, 2204, 1089, 4697, 5267, 12308, 15017, 3904, 2092, 21685, 3445, 9994, 1060, 1128, 8524, 17264, 1063, 7528, 3391, 93, 25198, 1067, 1108, 6358, 27869, 2059, 1096, 6400, 9561, 1138, 4041, 1651, 1275, 1048, 1026, 6985, 4602, 7100, 1049, 2790, 1049, 12791, 1060, 13702, 21981, 1160, 1096, 1992, 2072, 9994, 20, 2013, 1044, 12791, 8536, 1225, 1044, 14341, 18505, 1005, 8935, 1068, 1178, 3778, 1996, 1060, 2617, 22569, 2605, 1264, 1160, 1323, 3765, 3700, 12438, 3048, 19981, 1026, 1033, 2432, 96, 1206, 3192, 24424, 23732, 1026, 1592, 5654, 1048, 2143, 4168, 2073, 1060, 2919, 20, 2605, 4108, 1846, 3904, 1026, 6985, 4602, 1067, 1108, 6358, 27869, 2059, 1005, 1264, 1096, 27553, 2129, 19, 1595, 4328, 1667, 24105, 1007, 1026, 1048, 1503, 1973, 3062, 1054, 6544, 1322, 11146, 1044, 6985, 4602, 1048, 4145, 14341, 1005, 8575, 37, 2200, 1381, 1616, 1005, 6733, 1026, 7603, 1493, 24697, 1667, 4086, 85, 1072, 8167, 3179, 1448, 2641, 2647, 1309, 1680, 11524, 1005, 27142, 1138, 3872, 3311, 15574, 32, 1138, 20840, 59, 8883, 22163, 3924, 7988, 124, 8517, 5881, 19295, 1084, 3741, 15132, 8517, 10717, 10473, 6860, 9554, 2053, 20, 4247, 7152, 1231, 1005, 5969, 1007, 1118, 1989, 1234, 84, 1810, 37, 5919, 23791, 1026, 1853, 13712, 2405, 1009, 24918, 1048, 1503, 1566, 17542, 1054, 1005, 12316, 1063, 7743, 2112, 1068, 1168, 8838, 1026, 12115, 1005, 7386, 1026, 9458, 1566, 1323, 13728, 8298, 1140, 1009, 1944, 18, 1846, 3904, 1026, 1413, 4703, 1810, 31313, 1005, 1846, 1006, 13396, 26497, 2669, 1071, 1418, 3699, 1100, 1309, 1225, 4614, 1048, 15042, 1026, 7603, 1680, 15718, 1810, 1005, 7743, 1565, 2656, 3135, 4125, 6601, 1094, 1086, 1252, 1328, 1998, 1566, 4145, 8575, 1005, 1044, 10474, 11524, 1109, 7603, 1704, 2863, 37, 31965, 1325, 1054, 3971, 1511, 1503, 1556, 1707, 1962, 4883, 1759, 2334, 1327, 1664, 3195, 4085, 1005, 3156, 1046, 1044, 30706, 1006, 1184, 1049, 1048, 1132, 1048, 2518, 1040, 1072, 3099, 1206, 1114, 11856, 26323, 1309, 1068, 4982, 1026, 6072, 5594, 17478, 1874, 1096, 5301, 6633, 8144, 3195, 4217, 83, 3822, 22913, 6985, 1007, 3814, 1072, 2092, 7603, 4217, 83, 1009, 1307, 1006, 1675, 3952, 15, 2246, 1503, 4270, 85, 1132, 2373, 73, 1656, 1018, 626, 7092, 4217, 83, 1009, 1083, 1006, 1101, 3952, 16075, 9458, 1060, 7528, 1067, 1108, 6358, 27869, 2059, 1503, 26213, 1837, 1675, 3952, 7, 3670, 10193, 2060, 6622, 3114, 7284, 1054, 1044, 4168, 1048, 1503, 5192, 1048, 2155, 20615, 2088, 3952, 1005, 16410, 1072, 1963, 1627, 1049, 1048, 17414, 2693, 3757, 10064, 3062, 1663, 28403, 21, 1609, 30213, 1990, 1071, 2836, 1047, 1848, 1006, 14584, 1009, 3938, 15, 1833, 7110, 37, 3882, 2940, 24477, 1619, 1819, 2739, 3469, 37, 1138, 1048, 9480, 1068, 3417, 1124, 6772, 3198, 1016, 1184, 2203, 2445, 37, 2995, 1045, 2563, 40, 1045, 2563, 1114, 5171, 41, 1182, 3340, 20407, 1170, 41, 1997, 8529, 15516, 6018, 5451, 1243, 15516, 6018, 6969, 1535, 30205, 50, 14253, 51, 4622, 7132, 86, 1241, 1045, 1461, 12796, 3363, 1093, 7860, 23910, 7860, 28016, 1318, 8914, 31, 10579, 14318, 11068, 8604, 32, 1128, 1943, 9393, 1049, 1082, 3763, 20636, 27636, 10546, 15828, 1691, 4622, 7132, 32, 3398, 4106, 1060, 6969, 1535, 30205, 5, 2721, 9062, 14290, 3008, 23404, 32, 1063, 13429, 17672, 17594, 3008, 1075, 95, 1973, 1898, 11437, 10579, 14290, 1726, 6773, 2944, 13347, 1605, 4041, 1006, 1804, 1061, 7132, 1009, 3004, 1195, 1695, 1411, 1309, 1998, 6581, 6141, 32, 7619, 72, 2253, 13426, 1067, 2297, 18, 2252, 3592, 5281, 22474, 1005, 1058, 1317, 1157, 1096, 1493, 3445, 13614, 1109, 2092, 3152, 14280, 7, 13030, 95, 1973, 1898, 13290, 10579, 14290, 1726, 6480, 3413, 1317, 3670, 1620, 18398, 1026, 19597, 2402, 3698, 1667, 18192, 1049, 1014, 1026, 2712, 2351, 1309, 2155, 8853, 1397, 88, 1006, 6925, 8633, 28057, 2995, 9717, 3008, 17013, 1973, 1898, 12599, 10579, 14290, 1726, 6480, 7157, 13347, 1940, 7529, 21858, 1043, 1791, 4106, 1054, 2127, 32, 8028, 1048, 1044, 3477, 6358, 21328, 6202, 1014, 1005, 11248, 1009, 1044, 28492, 1091, 2193, 1466, 1081, 1069, 1833, 12690, 1317, 4736, 1016, 1060, 9008, 1241, 1024, 76, 1327, 1026, 14787, 1100, 23777, 25506, 1503, 18701, 83, 1026, 1131, 1047, 1963, 1627, 1005, 93, 14268, 6871, 1370, 2289, 1026, 2481, 1054, 2573, 0, 5, 72, 7957, 1100, 27457, 7, 13030, 95, 1973, 1898, 13290, 10579, 14290, 1726, 6480, 3876, 1317, 1759, 1029, 1027, 4145, 23325, 3916, 16308, 27882, 3670, 4647, 5470, 13054, 1309, 6950, 159, 1026, 1557, 37, 2995, 9717, 13030, 95, 13030, 2196, 1613, 1483, 30331, 5958 ]

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

[ 12842, 4199, 3504, 22388, 1447, 1242, 1068, 4677, 88, 1300, 1075, 1036, 1940, 1958, 1112, 1072, 16291, 10814, 76, 1065, 5604, 1456, 5364, 8169, 3368, 5631, 1456, 5364, 2522, 17586, 2106, 1048, 1826, 8042, 1213, 5333, 24211, 1005, 11133, 1046, 2161, 1233, 1224, 10469, 3812, 1258, 4869, 1395, 1008, 3200, 1131, 1788, 1074, 16078, 2955, 6779, 21990, 5387, 17795, 1198, 1821, 4677, 88, 1300, 1075, 1036, 1797, 1189, 1789, 1075, 1036, 1050, 1497, 75, 1305, 8512, 1009, 3513, 25091, 1048, 1299, 4337, 2688, 22113, 7243, 1054, 1235, 16291, 1005, 1159, 13056, 1456, 3328, 8068, 1054, 1224, 7752, 1009, 26123, 1096, 1224, 1472, 1009, 2837, 1235, 16291, 20, 2656, 1058, 2522, 2059, 1005, 2504, 75, 2930, 2550, 1009, 16291, 1305, 3513, 1054, 5203, 27509, 18, 1096, 4445, 1009, 16466, 1005, 1096, 8934, 13266, 3812, 1258, 4869, 1395, 1008, 3200, 1131, 1788, 1074, 16078, 4677, 88, 1300, 1075, 1036, 1050, 1497, 75, 3909, 2292, 79, 8034, 8778, 82, 1578, 1006, 166, 1229, 14297, 2292, 79, 8034, 1015, 1447, 18690, 29182, 1075, 1036, 1050, 1497, 75, 1841, 6055, 18, 14297, 2292, 79, 8034, 29182, 1075, 1036, 1050, 1497, 75, 4933, 3617, 1, 11595, 2156, 9078, 7082, 1503, 20975, 11726, 3616, 1048, 2348, 4809, 1836, 2499, 4975, 1511, 1026, 3525, 1243, 1770, 7052, 1067, 2297, 1138, 69, 53, 1691, 4622, 7132, 1009, 3004, 1962, 3062, 1009, 21221, 1140, 25386, 20659, 1596, 1124, 1613, 2447, 1049, 26825, 17689, 1642, 1034, 1005, 29947, 1233, 5274, 1009, 3978, 1005, 2924, 15404, 1196, 12307, 1479, 1309, 1118, 9511, 11342, 31179, 3074, 2301, 1006, 12737, 1565, 1084, 11281, 1503, 1160, 1030, 15933, 4137, 2246, 10012, 1026, 5610, 5920, 7887, 1089, 1124, 3469, 1005, 1006, 1613, 1328, 12737, 1566, 10558, 1080, 1259, 75, 15017, 4064, 1094, 1287, 23097, 1048, 3768, 1114, 8946, 5160, 2088, 23849, 1009, 26951, 12334, 10373, 10277, 27532, 1349, 14456, 1068, 2348, 1935, 6800, 1048, 1998, 4540, 5172, 1511, 1503, 10551, 1006, 2349, 1017, 1005, 7619, 72, 2253, 3125, 19, 16, 3670, 2449, 2385, 1010, 3171, 1043, 5942, 1009, 3129, 1461, 2246, 1503, 12180, 1005, 4647, 4883, 2289, 1026, 1048, 10029, 1357, 3349, 1005, 1160, 1323, 1240, 5383, 1009, 1261, 3886, 2179, 5268, 28980, 1273, 1206, 1043, 8697, 4474, 1126, 1206, 1043, 14341, 1009, 16626, 1097, 1377, 1603, 1234, 4577, 11305, 23624, 1962, 11270, 1048, 1503, 23334, 2557, 85, 21, 21664, 9686, 1664, 1132, 16843, 1009, 2992, 1005, 3403, 1060, 6969, 1535, 1197, 9744, 1084, 1054, 1044, 20236, 16494, 1132, 4234, 4181, 20566, 1009, 1063, 1184, 11738, 24423, 29653, 1006, 3010, 13617, 1005, 5450, 1043, 3360, 3445, 1054, 1871, 1009, 4106, 1186, 25, 2324, 1627, 1160, 9695, 3192, 10204, 3048, 18001, 1006, 31759, 1309, 1826, 1114, 15842, 6770, 14079, 5956, 1048, 1837, 1307, 2250, 4064, 1138, 11399, 1271, 1067, 4348, 1170, 1043, 3805, 14662, 1005, 25737, 1009, 1138, 1831, 24550, 1530, 1049, 23682, 13474, 1034, 1060, 12948, 5451, 1243, 1186, 25, 1383, 1118, 23791, 2210, 2447, 1068, 1132, 10826, 6762, 1026, 14795, 1060, 7015, 1207, 3123, 9565, 1048, 1503, 7800, 79, 1009, 10373, 1024, 1349, 1048, 1503, 26213, 1072, 2788, 31168, 1114, 5171, 3590, 3198, 1089, 1118, 3810, 2246, 3897, 1096, 1044, 1080, 2628, 1810, 1048, 26909, 3291, 1026, 1048, 1006, 2924, 5471, 1072, 28182, 1068, 1048, 8935, 1005, 1058, 5325, 5613, 2848, 1317, 4736, 1016, 23290, 1327, 1060, 9008, 1241, 13359, 2618, 6152, 24270, 1138, 1061, 1005, 12990, 1009, 3700, 7150, 20, 5011, 17542, 2089, 2624, 1005, 7482, 23982, 9627, 7603, 2947, 1043, 1044, 10474, 1493, 2631, 1511, 1503, 2490, 1687, 1114, 28403, 24488, 11372, 3355, 1077, 16075, 18106, 1096, 1044, 5497, 19, 1974, 1348, 4139, 88, 2789, 5931, 4396, 16334, 5315, 6488, 15, 1043, 1048, 1485, 1342, 2246, 2092, 7603, 12604, 1094, 1028, 1107, 1609, 1009, 5503, 1625, 5781, 20, 2013, 1044, 16060, 1068, 1178, 3778, 1996, 1060, 2617, 22569, 2654, 1160, 2449, 2872, 1348, 1005, 1160, 5192, 1663, 2617, 1589, 1054, 4982, 24366, 2276, 1503, 5628, 1026, 16060, 18, 12720, 1026, 7603, 1058, 2435, 19030, 1005, 1008, 1885, 1137, 21142, 1138, 14341, 1096, 2631, 1005, 17485, 1049, 3435, 1704, 9458, 1009, 24918, 1096, 1049, 7833, 49, 1046, 5484, 1096, 1044, 13712, 2405, 1009, 24918, 1043, 9889, 6072, 5594, 17478, 22559, 14373, 2444, 1009, 2595, 1004, 1407, 5425, 4217, 3822, 18, 4145, 8575, 1072, 7603, 1005, 1044, 3435, 20717, 1043, 1132, 3195, 1009, 8340, 21524, 1704, 12115, 15830, 1096, 1026, 15963, 1070, 1418, 5945, 1262, 1341, 1163, 2758, 2356, 20881, 1188, 2804, 10442, 1667, 2654, 26213, 1251, 3899, 1048, 1516, 1044, 6985, 4602, 1009, 3700, 12438, 1054, 1006, 2989, 1078, 1068, 2997, 6185, 3125, 90, 1358, 1056, 16, 1072, 7603, 1996, 1009, 29304, 1309, 1096, 1044, 12791, 7, 7496, 4473, 1160, 1484, 1226, 1009, 4125, 1846, 1060, 1008, 1885, 1107, 21, 14029, 22569, 4115, 1026, 14341, 18505, 1009, 3396, 84, 1385, 1005, 1503, 2490, 1996, 1060, 1008, 1885, 1107, 1071, 3039, 1370, 1026, 1592, 2568, 1048, 1503, 26949, 1322, 85, 5647, 2789, 5931, 4396, 1565, 20203, 71, 1026, 7603, 14605, 3461, 10094, 1309, 1503, 6479, 2637, 1068, 2071, 1846, 1060, 1008, 1885, 1107, 1206, 1511, 1695, 1385, 1054, 2573, 1060, 11518, 1846, 1060, 9416, 4884, 1005, 1160, 4647, 18003, 1026, 7603, 2246, 1026, 2568, 1009, 6300, 1930, 9212, 1058, 2435, 1005, 1008, 1885, 2705, 1096, 1493, 5278, 1667, 1387, 1385, 1159, 1044, 1015, 3847, 1162, 85, 1006, 1058, 3426, 1309, 1048, 1998, 3960, 14795, 1005, 8575, 0, 7843, 1975, 30264, 1118, 23791, 4371, 1020, 1633, 1153, 90, 1342, 5561, 8607, 2013, 1094, 1048, 1485, 1342, 8133, 1236, 1054, 4863, 11669, 1048, 1298, 1178, 5483, 2129, 23735, 1996, 1206, 1846, 1060, 2617, 1589, 8520, 1885, 4385, 1159, 28403, 18, 1072, 2191, 1060, 10593, 1005, 1054, 2089, 9933, 20, 1063, 25613, 1096, 1680, 8133, 1236, 1005, 26497, 2669, 14278, 2574, 2444, 8133, 1236, 1005, 2444, 26497, 2669, 1048, 9458, 15221, 22026, 1068, 23400, 1349, 1206, 2374, 8935, 1159, 1044, 13712, 2405, 1009, 24918, 30961, 1503, 17542, 1054, 1094, 13425, 1014, 1990, 1384, 1239, 1005, 2092, 7603, 1325, 1680, 5049, 4475, 11735, 26820, 1089, 1043, 1094, 10593, 2536, 5270, 3728, 9008, 1241, 1218, 1005, 1846, 1168, 2903, 14065, 2122, 1048, 1485, 1342, 1005, 1008, 1885, 78, 10277, 1043, 1026, 7603, 1184, 1008, 21, 19091, 1048, 1008, 21, 15454, 4457, 1138, 14341, 1009, 14584, 1325, 18094, 16298, 1060, 2348, 4953, 1833, 1503, 5692, 19532, 2237, 4137, 1005, 13467, 1043, 1006, 4137, 1009, 1664, 1132, 3195, 1048, 1503, 2490, 1294, 4859, 10826, 9493, 1160, 7482, 1009, 4347, 1493, 1322, 3938, 1072, 20410, 1309, 1511, 20975, 1132, 1949, 3342, 1323, 3765, 6411, 1009, 13467, 1005, 6242, 2289, 1026, 1048, 1503, 2490, 9493, 2449, 4805, 14367, 1072, 7603, 1005, 1026, 2751, 2863, 1096, 3647, 1264, 1305, 10572, 1124, 24918, 1005, 3417, 1006, 11353, 1064, 4719, 1026, 1712, 1557, 2481, 1071, 1130, 1072, 14584, 1160, 1096, 18819, 1479, 3048, 1096, 22825, 1745, 6716, 1006, 11353, 1043, 4805, 8692, 1479, 1005, 1663, 2617, 1589, 8520, 1885, 1107, 1068, 19441, 5876, 1006, 11353, 7917, 30491, 1124, 24918, 1565, 8295, 2348, 3961, 1118, 3195, 5497, 19, 1974, 5783, 12128, 1295, 4050, 1005, 1048, 2213, 1040, 1006, 26820, 1024, 1005, 2997, 8575, 1072, 7603, 1096, 29672, 4908, 2803, 3074, 2301, 4270, 3628, 2252, 3592, 3044, 1279, 2447, 4593, 1280, 1132, 1307, 1015, 3847, 1162, 1010, 1005, 11715, 1544, 1005, 10593, 1048, 1160, 28248, 1114, 4137, 6983, 25338, 26949, 1060, 1048, 1485, 3097, 1049, 2790, 3615, 1225, 1026, 31777, 22736, 17378, 4264, 1956, 18, 1060, 1128, 8524, 17264, 2013, 30252, 20203, 71, 1026, 7603, 1680, 24697, 1100, 1309, 1160, 7917, 1043, 1026, 1033, 2432, 14370, 4115, 13396, 1005, 14341, 1009, 8697, 1009, 7603, 4043, 1418, 2863, 1043, 1264, 1096, 1048, 1026, 4168, 6733, 1124, 24918, 1680, 1064, 15686, 1005, 1503, 7482, 8545, 7616, 74, 13235, 1309, 2364, 3074, 4270, 1157, 1043, 1026, 5647, 2789, 5931, 4396, 1704, 13702, 47, 1096, 1044, 12791, 1318, 1068, 1249, 1130, 1439, 1072, 7603, 1996, 1060, 2617, 1589, 8520, 1885, 17488, 2654, 26213, 1264, 3994, 1043, 1044, 9458, 1060, 13702, 5529, 1309, 1160, 17485, 20, 2656, 2204, 1089, 4697, 5267, 12308, 15017, 3904, 2092, 21685, 3445, 9994, 1060, 1128, 8524, 17264, 1063, 7528, 3391, 93, 25198, 1067, 1108, 6358, 27869, 2059, 1096, 6400, 9561, 1138, 4041, 1651, 1275, 1048, 1026, 6985, 4602, 7100, 1049, 2790, 1049, 12791, 1060, 13702, 21981, 1160, 1096, 1992, 2072, 9994, 20, 2013, 1044, 12791, 8536, 1225, 1044, 14341, 18505, 1005, 8935, 1068, 1178, 3778, 1996, 1060, 2617, 22569, 2605, 1264, 1160, 1323, 3765, 3700, 12438, 3048, 19981, 1026, 1033, 2432, 96, 1206, 3192, 24424, 23732, 1026, 1592, 5654, 1048, 2143, 4168, 2073, 1060, 2919, 20, 2605, 4108, 1846, 3904, 1026, 6985, 4602, 1067, 1108, 6358, 27869, 2059, 1005, 1264, 1096, 27553, 2129, 19, 1595, 4328, 1667, 24105, 1007, 1026, 1048, 1503, 1973, 3062, 1054, 6544, 1322, 11146, 1044, 6985, 4602, 1048, 4145, 14341, 1005, 8575, 37, 2200, 1381, 1616, 1005, 6733, 1026, 7603, 1493, 24697, 1667, 4086, 85, 1072, 8167, 3179, 1448, 2641, 2647, 1309, 1680, 11524, 1005, 27142, 1138, 3872, 3311, 15574, 32, 1138, 20840, 59, 8883, 22163, 3924, 7988, 124, 8517, 5881, 19295, 1084, 3741, 15132, 8517, 10717, 10473, 6860, 9554, 2053, 20, 4247, 7152, 1231, 1005, 5969, 1007, 1118, 1989, 1234, 84, 1810, 37, 5919, 23791, 1026, 1853, 13712, 2405, 1009, 24918, 1048, 1503, 1566, 17542, 1054, 1005, 12316, 1063, 7743, 2112, 1068, 1168, 8838, 1026, 12115, 1005, 7386, 1026, 9458, 1566, 1323, 13728, 8298, 1140, 1009, 1944, 18, 1846, 3904, 1026, 1413, 4703, 1810, 31313, 1005, 1846, 1006, 13396, 26497, 2669, 1071, 1418, 3699, 1100, 1309, 1225, 4614, 1048, 15042, 1026, 7603, 1680, 15718, 1810, 1005, 7743, 1565, 2656, 3135, 4125, 6601, 1094, 1086, 1252, 1328, 1998, 1566, 4145, 8575, 1005, 1044, 10474, 11524, 1109, 7603, 1704, 2863, 37, 31965, 1325, 1054, 3971, 1511, 1503, 1556, 1707, 1962, 4883, 1759, 2334, 1327, 1664, 3195, 4085, 1005, 3156, 1046, 1044, 30706, 1006, 1184, 1049, 1048, 1132, 1048, 2518, 1040, 1072, 3099, 1206, 1114, 11856, 26323, 1309, 1068, 4982, 1026, 6072, 5594, 17478, 1874, 1096, 5301, 6633, 8144, 3195, 4217, 83, 3822, 22913, 6985, 1007, 3814, 1072, 2092, 7603, 4217, 83, 1009, 1307, 1006, 1675, 3952, 15, 2246, 1503, 4270, 85, 1132, 2373, 73, 1656, 1018, 626, 7092, 4217, 83, 1009, 1083, 1006, 1101, 3952, 16075, 9458, 1060, 7528, 1067, 1108, 6358, 27869, 2059, 1503, 26213, 1837, 1675, 3952, 7, 3670, 10193, 2060, 6622, 3114, 7284, 1054, 1044, 4168, 1048, 1503, 5192, 1048, 2155, 20615, 2088, 3952, 1005, 16410, 1072, 1963, 1627, 1049, 1048, 17414, 2693, 3757, 10064, 3062, 1663, 28403, 21, 1609, 30213, 1990, 1071, 2836, 1047, 1848, 1006, 14584, 1009, 3938, 15, 1833, 7110, 37, 3882, 2940, 24477, 1619, 1819, 2739, 3469, 37, 1138, 1048, 9480, 1068, 3417, 1124, 6772, 3198, 1016, 1184, 2203, 2445, 37, 2995, 1045, 2563, 40, 1045, 2563, 1114, 5171, 41, 1182, 3340, 20407, 1170, 41, 1997, 8529, 15516, 6018, 5451, 1243, 15516, 6018, 6969, 1535, 30205, 50, 14253, 51, 4622, 7132, 86, 1241, 1045, 1461, 12796, 3363, 1093, 7860, 23910, 7860, 28016, 1318, 8914, 31, 10579, 14318, 11068, 8604, 32, 1128, 1943, 9393, 1049, 1082, 3763, 20636, 27636, 10546, 15828, 1691, 4622, 7132, 32, 3398, 4106, 1060, 6969, 1535, 30205, 5, 2721, 9062, 14290, 3008, 23404, 32, 1063, 13429, 17672, 17594, 3008, 1075, 95, 1973, 1898, 11437, 10579, 14290, 1726, 6773, 2944, 13347, 1605, 4041, 1006, 1804, 1061, 7132, 1009, 3004, 1195, 1695, 1411, 1309, 1998, 6581, 6141, 32, 7619, 72, 2253, 13426, 1067, 2297, 18, 2252, 3592, 5281, 22474, 1005, 1058, 1317, 1157, 1096, 1493, 3445, 13614, 1109, 2092, 3152, 14280, 7, 13030, 95, 1973, 1898, 13290, 10579, 14290, 1726, 6480, 3413, 1317, 3670, 1620, 18398, 1026, 19597, 2402, 3698, 1667, 18192, 1049, 1014, 1026, 2712, 2351, 1309, 2155, 8853, 1397, 88, 1006, 6925, 8633, 28057, 2995, 9717, 3008, 17013, 1973, 1898, 12599, 10579, 14290, 1726, 6480, 7157, 13347, 1940, 7529, 21858, 1043, 1791, 4106, 1054, 2127, 32, 8028, 1048, 1044, 3477, 6358, 21328, 6202, 1014, 1005, 11248, 1009, 1044, 28492, 1091, 2193, 1466, 1081, 1069, 1833, 12690, 1317, 4736, 1016, 1060, 9008, 1241, 1024, 76, 1327, 1026, 14787, 1100, 23777, 25506, 1503, 18701, 83, 1026, 1131, 1047, 1963, 1627, 1005, 93, 14268, 6871, 1370, 2289, 1026, 2481, 1054, 2573, 0, 5, 72, 7957, 1100, 27457, 7, 13030, 95, 1973, 1898, 13290, 10579, 14290, 1726, 6480, 3876, 1317, 1759, 1029, 1027, 4145, 23325, 3916, 16308, 27882, 3670, 4647, 5470, 13054, 1309, 6950, 159, 1026, 1557, 37, 2995, 9717, 13030, 95, 13030, 2196, 1613, 1483, 30331, 5958 ]

[ 1294, 23170, 13270, 16510, 5042, 3004, 4834, 4957, 1009, 19937, 6013, 4754, 27, 1686, 10287, 15994, 29876, 1596, 16954, 1312, 1986, 4207, 28763, 1054, 2277, 1340, 3022, 1009, 2303, 1043, 1858, 1049, 8123, 48, 2663, 3020, 1729, 2769, 1009, 5829, 1565, 2814, 6747, 1128, 6655, 15524, 2521, 1094, 5576, 12633, 10164, 32, 1006, 1009, 6588, 1006, 6862, 1986, 10600, 1049, 6724, 1072, 7920, 20825, 1063, 9168, 1096, 1058, 18, 2429, 5326, 1264, 3647, 150, 1006, 15089, 20, 1138, 2670, 1060, 7245, 1096, 1026, 3810, 1006, 18465, 1005, 7412, 2258, 1014, 1006, 1264, 3558, 8193, 1026, 7810, 1930, 1048, 4291, 2593, 1054, 1487, 1006, 7819, 1128, 6655, 15524, 1973, 1006, 1957, 7440, 14468, 1048, 1006, 5576, 5612, 2636, 1322, 1006, 1465, 4952, 1096, 19408, 12027, 1049, 3435, 1852, 3960, 10600, 1072, 12684, 10237, 2613, 1411, 1026, 2743, 1009, 3940, 1048, 23508, 1006, 1465, 4952, 1009, 5684, 5018, 1102, 1298, 15567, 2073, 9168, 1322, 1006, 4497, 1048, 1026, 17328, 5593, 1006, 5085, 1060, 6862, 1986, 23115, 1054, 2750, 8627, 2338, 2670, 1060, 21360, 7720, 1160, 3765, 5633, 1068, 1048, 1006, 5576, 21067, 1006, 1178, 5365, 1140, 2309, 4784, 3983, 25338, 1026, 2670, 1049, 10219, 1973, 1048, 1976, 1663, 1094, 6127, 1043, 1132, 25750, 1068, 28427, 1026, 1225, 1377, 42, 1677, 1006, 7513, 1049, 31804, 3068, 1261, 2731, 2088, 17892, 1058, 15650, 1412, 1060, 3597, 1009, 1128, 6655, 22746, 6909, 1048, 1058, 31519, 1009, 1311, 2431, 2489, 1049, 20587, 1072, 21727, 20, 1387, 1399, 3471, 3694, 16708, 1160, 5662, 3987, 1871, 22160, 5085, 1006, 15580, 1009, 1664, 1132, 5867, 5783, 1309, 1054, 3819, 2803, 5756, 1311, 2431, 2489, 1049, 12684, 1072, 25836, 1195, 1094, 5630, 10934, 1084, 19423, 1096, 19423, 29082, 10836, 1542, 1364, 1038, 1563, 1063, 1498, 2645, 54, 4134, 16452, 1973, 1048, 1026, 17328, 6479, 31889, 1006, 29906, 1351, 1157, 1068, 1026, 25836, 2730, 2803, 1054, 1048, 1006, 7245, 2501, 1665, 4278, 1322, 6862, 1986, 23115, 1054, 2750, 8627, 20, 10625, 2564, 10821, 2645, 20272, 4273, 31810, 1973, 1048, 1044, 2743, 1009, 1224, 2566, 1411, 1009, 7230, 1566, 31519, 1322, 1026, 1225, 1377, 1387, 1399, 3471, 1013, 2276, 1973, 1048, 22402, 1026, 3407, 1009, 10821, 1068, 5034, 1187, 8813, 1049, 5611, 2270, 1, 1063, 8116, 1060, 17932, 1187, 7114, 23731, 1114, 4338, 20, 1063, 10562, 1048, 23702, 1026, 5054, 13708, 1006, 9924, 3068, 9710, 20914, 1349, 1288, 1086, 4392, 1717, 1026, 2670, 14900, 9581, 1005, 1141, 13612, 1044, 1543, 3208, 1072, 6307, 50, 2338, 3407, 5594, 1506, 1049, 2743, 1195, 12516, 1114, 3757, 20247, 1309, 1620, 3971, 1589, 1006, 9924, 1187, 2429, 13310, 1048, 1327, 20248, 8745, 1048, 1693, 8383, 1006, 5576, 20, 7027, 1132, 20415, 1596, 9934, 8003, 1845, 8116, 1298, 1848, 8557, 1068, 1026, 25836, 15345, 1213, 1178, 5365, 1069, 1118, 1094, 10562, 14617, 1026, 2743, 1160, 3135, 1049, 3429, 1049, 31804, 1060, 4338, 7585, 13203, 1060, 8797, 1005, 11737, 15969, 6639, 1048, 1006, 8116, 2374, 4427, 1140, 1318, 1072, 31804, 10237, 3005, 1026, 2417, 3135, 13275, 17452, 8300, 1678, 1009, 1044, 3225, 1009, 1487, 3612, 4784, 3983, 7804, 1026, 2743, 4834, 1048, 1178, 12516, 1118, 3364, 1060, 21360, 1996, 1009, 1848, 1068, 1026, 5611, 2270, 11020, 39, 31838, 5857, 1986, 1006, 13064, 1140, 1009, 27258, 1060, 8797, 1068, 15140, 1006, 23338, 1009, 7114, 1009, 3759, 1452, 15291, 1005, 31005, 1711, 73, 23286, 1048, 16878, 4863, 8167, 1009, 11597, 621, 6583, 1026, 1592, 4465, 1009, 11915, 2484, 12573, 1068, 1124, 10892, 3759, 1452, 1845, 7513, 4064, 1006, 1178, 22047, 26395, 1986, 17044, 1043, 6428, 1009, 24738, 1048, 7949, 1006, 16012, 27965, 14151, 5193, 1009, 1211, 3298, 13922, 2427, 5002, 1049, 6387, 1049, 20582, 1026, 6483, 17990, 27908, 1130, 11055, 50, 5523, 30977, 29609, 1079, 1717, 8104, 1024, 1667, 625, 43, 11343, 9935, 1048, 1826, 9175, 1962, 7198, 1015, 3562, 10245, 2258, 1229, 1327, 1006, 2068, 1655, 1731, 8431, 67, 1049, 2670, 1060, 13880, 3336, 2656, 5192, 1159, 1264, 2155, 5115, 4659, 13651, 5634, 4543, 1846, 3987, 3597, 20, 3953, 10775, 1213, 10472, 1679, 7878, 1655, 1295, 1566, 1596, 10517, 1166, 1114, 5576, 7113, 1309, 4343, 7386, 1026, 16194, 5856, 3978, 4324, 1973, 27908, 1130, 2338, 5548, 1049, 2671, 1114, 2968, 1126, 19733, 21849, 15463, 11055, 50, 5523, 53, 1349, 17256, 2464, 2535, 1026, 3407, 3241, 1592, 1048, 4054, 1068, 1026, 16142, 3335, 1006, 9743, 1060, 8116, 1187, 7114, 1298, 1178, 1403, 23136, 2373, 3036, 3028, 7898, 1096, 8900, 4324, 1973, 1026, 5548, 3172, 1160, 9410, 1058, 27908, 1130, 4291, 12716, 3473, 20188, 3843, 5698, 1060, 21360, 1006, 8116, 1060, 17932, 1187, 7114, 1620, 4597, 1048, 4125, 1356, 5611, 2270, 1063, 24093, 1055, 1271, 6264, 1009, 16167, 1005, 2381, 1121, 1068, 1006, 8515, 10206, 1005, 9017, 7546, 1566, 1195, 16134, 1463, 2156, 2968, 29872, 2671, 12491, 1054, 3261, 1213, 7026, 1026, 2743, 1048, 7081, 2140, 1197, 1132, 11278, 1068, 1048, 7114, 1365, 83, 1114, 1098, 1974, 3843, 4733, 6690, 1060, 30171, 2068, 11292, 1049, 20582, 9581, 16471, 1114, 2921, 5576, 1006, 24093, 1055, 1463, 23433, 1271, 15607, 23383, 1845, 20697, 1516, 1048, 2824, 9930, 4368, 6616, 8651, 5993, 6816, 1054, 2256, 1646, 12474, 1124, 3606, 6264, 1009, 16167, 1005, 1124, 9524, 22535, 8078, 1580, 1006, 12469, 1049, 30236, 2784, 10528, 1005, 1063, 15468, 13881, 3336, 5552, 1043, 13647, 1026, 24587, 1060, 7188, 1126, 6483, 16102, 31649, 11369, 15598, 13437, 2314, 4134, 15908, 15168, 2698, 1132, 9088, 1068, 2306, 1620, 2155, 1058, 28594, 2170, 1054, 10045, 1126, 2977, 1379, 1044, 4465, 1184, 6518, 1060, 1030, 29759, 14779, 2309, 7114, 1159, 1871, 1009, 5066, 1024, 1124, 2381, 1121, 4964, 2869, 1233, 3573, 5823, 1026, 6483, 13320, 1048, 1006, 1155, 5624, 7551, 1681, 71, 1187, 9227, 9160, 7089, 1068, 11587, 7089, 18, 1054, 7434, 1005, 1068, 9930, 7089, 18, 1054, 19742, 1063, 5576, 3462, 1244, 1785, 1044, 6778, 1081, 1303, 1068, 4537, 1054, 9930, 7089, 1054, 6391, 1845, 4840, 1049, 2671, 1516, 2464, 1068, 4659, 1114, 4453, 1126, 2909, 3654, 15266, 1132, 2595, 1646, 1009, 12236, 1184, 1044, 2373, 4896, 17016, 626, 1009, 2128, 11, 1322, 1026, 1557, 10711, 4634, 1138, 2017, 3407, 13320, 1044, 2395, 2016, 1009, 2595, 1646, 1068, 6275, 2864, 1072, 1557, 8407, 1009, 3159, 1657, 1068, 2306, 1620, 21641, 1463, 4670, 11821, 39, 6922, 1271, 6476, 18, 1006, 2759, 9482, 13320, 1048, 1026, 5802, 1060, 4375, 1463, 7685, 1060, 4630, 10801, 1680, 4958, 1049, 2161, 3635, 3038, 1024, 2758, 11222, 14739, 1233, 2236, 1009, 3227, 4345, 9065, 1075, 1412, 1006, 13183, 1009, 8419, 7114, 1005, 26431, 1114, 5576, 20, 1138, 2743, 12516, 13320, 1048, 3530, 4085, 4054, 1027, 1124, 10529, 6264, 1271, 15607, 23383, 1005, 6622, 1027, 1124, 10529, 8238, 1009, 12236, 23557, 8862, 6639, 16167, 10677, 1005, 1048, 1026, 10472, 2374, 30639, 1009, 2303, 1043, 1132, 2395, 1361, 1858, 1006, 2306, 1325, 1114, 2248, 1377, 1534, 1124, 5376, 6626, 1118, 22607, 1006, 10937, 1009, 5337, 1009, 6151, 2824, 17074, 6616, 1068, 1132, 1090, 2585, 1043, 1006, 8116, 1068, 8419, 7114, 1005, 7797, 5425, 4291, 12716, 10996, 5369, 7039, 1009, 15929, 1054, 1646, 2960, 1007, 3633, 2595, 52, 5992, 8263, 16, 6275, 7037, 1566, 1325, 1114, 13977, 1463, 15607, 6729, 3273, 1225, 6264, 1184, 30104, 1138, 2120, 17016, 1096, 1009, 2128, 11, 33, 1557, 4051, 1322, 1026, 1048, 3971, 1068, 15266, 1006, 8263, 3633, 43, 1462, 2113, 1060, 1155, 5624, 7551, 29462, 22285, 5954, 1054, 4925, 3209, 11587, 7089, 39, 2323, 4579, 9930, 7089, 40, 1051, 22535, 1068, 7114, 1175, 9649, 1188, 1026, 3282, 1233, 10677, 1149, 16150, 1010, 1032, 10554, 1043, 10511, 10677, 15, 1175, 6782, 1233, 1415, 1149, 1071, 6691, 7761, 1018, 1159, 2306, 1325, 1114, 13977, 15, 1175, 10497, 6641, 5711, 1027, 1592, 1068, 2306, 1620, 2155, 4659, 1114, 3560, 1175, 20020, 13320, 2395, 1361, 1963, 24956, 1005, 1009, 11915, 5775, 1068, 1124, 15607, 23383, 16, 7273, 1068, 2306, 1620, 2155, 4659, 1463, 23433, 44, 11325, 4813, 1060, 5337, 1005, 2743, 1009, 3940, 2182, 4368, 9521, 1, 7906, 1708, 7178, 1048, 10621, 1054, 3584, 4934, 1009, 2955, 12797, 1747, 18, 1114, 4111, 5636, 1411, 30124, 3629, 1049, 2671, 1049, 1561, 1068, 3417, 1026, 1908, 1005, 1160, 4082, 1656, 1026, 14299, 1009, 1006, 26321, 1138, 2417, 1225, 75, 1026, 1494, 1237, 2582, 10408, 1060, 7427, 1118, 3865, 1009, 14766, 9701, 1365, 17228, 1480, 1005, 1026, 17574, 1009, 1084, 3420, 7493, 1723, 3375, 2630, 1009, 3130, 2102, 7178, 2392, 1046, 1114, 1431, 1174, 1368, 5121, 7272, 1009, 4843, 4260, 1043, 19603, 1054, 3584, 21070, 1094, 1271, 3145, 4761, 1049, 7751, 2342, 1436, 2712, 1070, 10581, 24920, 1294, 4679, 1646, 5675, 3707, 1009, 6900, 1009, 13664, 1054, 3902, 1009, 6543, 1184, 27150, 1005, 1043, 4792, 1316, 3613, 2444, 1572, 2641, 1402, 3375, 2630, 1009, 24362, 7178, 2643, 1058, 12194, 1118, 4440, 1009, 17226, 20, 1766, 6900, 9656, 1412, 1114, 9560, 20392, 15, 1094, 6866, 1213, 1376, 5408, 1049, 6220, 1138, 3489, 1096, 1048, 1006, 10068, 10374, 2672, 13177, 5922, 3994, 1233, 12048, 1068, 1048, 1026, 14299, 2374, 2232, 13358, 1043, 25391, 1005, 3638, 6326, 1178, 8364, 20515, 1138, 2822, 1049, 14299, 1325, 12573, 1068, 2475, 1009, 3049, 7366, 14766, 1566, 4217, 83, 2156, 7082, 1072, 6402, 1309, 1006, 7427, 10483, 2271, 1026, 2822, 1009, 3757, 1054, 3584, 4934, 20, 4116, 2444, 6275, 1783, 8097, 25731, 1054, 24773, 1043, 22764, 2271, 8184, 19829, 1349, 2277, 1026, 3761, 2386, 2231, 11888, 2652, 6201, 3865, 1271, 6744, 4650, 1006, 1641, 1225, 4995, 1118, 9607, 1009, 29234, 1005, 1026, 6545, 1998, 5325, 1495, 1124, 2224, 2975, 1026, 1048, 23226, 1495, 1006, 5554, 1009, 6648, 20, 2034, 3145, 14387, 1060, 4930, 1048, 3475, 1118, 1094, 14966, 5661, 1596, 7353, 1312, 1118, 22764, 1005, 1006, 2579, 11424, 1055, 2755, 1657, 1006, 5768, 1206, 1009, 17977, 20, 1063, 12168, 1009, 13664, 28609, 11440, 12033, 2638, 16303, 1803, 31752, 1919, 2464, 2247, 1049, 8393, 1009, 19187, 1225, 2281, 4417, 4305, 3453, 1049, 6220, 60, 1480, 6900, 9577, 1043, 3629, 1187, 10336, 22817, 5430, 1048, 13326, 22275, 1271, 6428, 1009, 7178, 1005, 17871, 1046, 1026, 3453, 1068, 1132, 6900, 1711, 1491, 1132, 1173, 1229, 1160, 1225, 2281, 2481, 2808, 3592, 9913, 8, 27252, 1054, 1011, 5415, 1197, 1013, 9672, 2271, 6282, 20247, 1309, 1006, 7427, 1058, 5177, 12476, 1406, 1919, 9475, 1048, 1096, 1155, 3446, 1009, 13664, 1114, 7272, 20, 15888, 1079, 1043, 19187, 1493, 19187, 1096, 1094, 16369, 2194, 1005, 27203, 1005, 1160, 12950, 1026, 1048, 21932, 1063, 4614, 5662, 8512, 1009, 24183, 1126, 24741, 1005, 1068, 1006, 4614, 1048, 1096, 20034, 1006, 4087, 1096, 1620, 8976, 2855, 46, 1045, 1051, 1096, 3888, 1009, 1128, 2431, 19328, 5583, 30977, 1005, 18572, 1072, 4288, 1054, 14982, 3720, 2612, 2464, 1992, 1159, 1734, 7998, 1273, 1225, 1090, 24499, 6648, 20, 9649, 2130, 5097, 3368, 1159, 3111, 19928, 1005, 9242, 1009, 22045, 2643, 2281, 15651, 1356, 23885, 1049, 4410, 1294, 17105, 4507, 12059, 1054, 1048, 1026, 6545, 2947, 6888, 1845, 12168, 5649, 2464, 4850, 1187, 5040, 7010, 1132, 7178, 1620, 1826, 1289, 6420, 1005, 1132, 10624, 1693, 3659, 16952, 1554, 2951, 1521, 4319, 9272, 1005, 1160, 2569, 3819, 4011, 23662, 1406, 1919, 20, 6771, 1160, 5756, 18627, 10547, 1060, 12048, 1068, 1048, 1132, 4988, 6326, 3417, 1026, 1908, 1305, 6388, 1026, 14299, 20, 1063, 1431, 1174, 1368, 5121, 2277, 1132, 20985, 2540, 15580, 1049, 1376, 5408, 4011, 1068, 1048, 4172, 21883, 1132, 4988, 1305, 1048, 9545, 8209, 1043, 1006, 9834, 2712, 1070, 13864, 27660, 9710, 20914, 1349, 1132, 6900, 1058, 22368, 4202, 1072, 19603, 1060, 12048, 1068, 5348, 1122, 1130, 1005, 17917, 1094, 2360, 6866, 1068, 1026, 24133, 2270, 14176, 5326, 23009, 1318, 1261, 1006, 8300, 1049, 29898, 20, 1138, 2417, 1620, 2540, 1702, 1251, 2816, 1049, 2671, 4011, 1068, 3371, 1132, 1048, 29889, 5392, 1049, 7751, 24417, 5043, 4988, 1160, 2643, 6758, 1009, 5392, 1049, 6402, 1026, 3872, 2191, 1009, 5392, 2364, 1096, 1009, 10424, 1406, 1919, 28609, 1845, 14543, 25919, 2266, 1213, 4813, 1271, 14671, 1955, 1363, 11199, 1048, 1495, 1006, 7922, 3960, 3407, 1160, 2284, 2470, 2270, 1138, 4813, 1060, 5673, 1318, 1195, 7468, 1599, 1309, 9704, 1048, 1026, 5054, 1976, 1178, 12196, 1356, 3614, 1046, 25201, 3965, 1063, 16229, 5543, 1054, 4280, 1043, 1006, 1431, 1174, 1368, 5121, 1309, 1160, 3661, 3484, 11554, 1302, 1708, 1114, 21904, 1318, 27656, 3629, 1213, 17491, 1049, 6483, 19399, 1027, 14413, 2645, 1209, 3936, 23988, 1048, 2521, 4280, 1043, 1026, 28961, 1005, 1043, 1006, 25031, 13209, 1060, 18493, 6301, 10016, 1365, 26020, 1005, 1026, 17574, 1009, 1084, 3420, 6884, 1986, 1006, 25245, 1049, 5548, 8579, 11382, 19446, 1114, 9707, 18369, 1565, 1138, 5995, 12684, 14591, 18, 9295, 4553 ]

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

[ 1294, 23170, 13270, 16510, 5042, 3004, 4834, 4957, 1009, 19937, 6013, 4754, 27, 1686, 10287, 15994, 29876, 1596, 16954, 1312, 1986, 4207, 28763, 1054, 2277, 1340, 3022, 1009, 2303, 1043, 1858, 1049, 8123, 48, 2663, 3020, 1729, 2769, 1009, 5829, 1565, 2814, 6747, 1128, 6655, 15524, 2521, 1094, 5576, 12633, 10164, 32, 1006, 1009, 6588, 1006, 6862, 1986, 10600, 1049, 6724, 1072, 7920, 20825, 1063, 9168, 1096, 1058, 18, 2429, 5326, 1264, 3647, 150, 1006, 15089, 20, 1138, 2670, 1060, 7245, 1096, 1026, 3810, 1006, 18465, 1005, 7412, 2258, 1014, 1006, 1264, 3558, 8193, 1026, 7810, 1930, 1048, 4291, 2593, 1054, 1487, 1006, 7819, 1128, 6655, 15524, 1973, 1006, 1957, 7440, 14468, 1048, 1006, 5576, 5612, 2636, 1322, 1006, 1465, 4952, 1096, 19408, 12027, 1049, 3435, 1852, 3960, 10600, 1072, 12684, 10237, 2613, 1411, 1026, 2743, 1009, 3940, 1048, 23508, 1006, 1465, 4952, 1009, 5684, 5018, 1102, 1298, 15567, 2073, 9168, 1322, 1006, 4497, 1048, 1026, 17328, 5593, 1006, 5085, 1060, 6862, 1986, 23115, 1054, 2750, 8627, 2338, 2670, 1060, 21360, 7720, 1160, 3765, 5633, 1068, 1048, 1006, 5576, 21067, 1006, 1178, 5365, 1140, 2309, 4784, 3983, 25338, 1026, 2670, 1049, 10219, 1973, 1048, 1976, 1663, 1094, 6127, 1043, 1132, 25750, 1068, 28427, 1026, 1225, 1377, 42, 1677, 1006, 7513, 1049, 31804, 3068, 1261, 2731, 2088, 17892, 1058, 15650, 1412, 1060, 3597, 1009, 1128, 6655, 22746, 6909, 1048, 1058, 31519, 1009, 1311, 2431, 2489, 1049, 20587, 1072, 21727, 20, 1387, 1399, 3471, 3694, 16708, 1160, 5662, 3987, 1871, 22160, 5085, 1006, 15580, 1009, 1664, 1132, 5867, 5783, 1309, 1054, 3819, 2803, 5756, 1311, 2431, 2489, 1049, 12684, 1072, 25836, 1195, 1094, 5630, 10934, 1084, 19423, 1096, 19423, 29082, 10836, 1542, 1364, 1038, 1563, 1063, 1498, 2645, 54, 4134, 16452, 1973, 1048, 1026, 17328, 6479, 31889, 1006, 29906, 1351, 1157, 1068, 1026, 25836, 2730, 2803, 1054, 1048, 1006, 7245, 2501, 1665, 4278, 1322, 6862, 1986, 23115, 1054, 2750, 8627, 20, 10625, 2564, 10821, 2645, 20272, 4273, 31810, 1973, 1048, 1044, 2743, 1009, 1224, 2566, 1411, 1009, 7230, 1566, 31519, 1322, 1026, 1225, 1377, 1387, 1399, 3471, 1013, 2276, 1973, 1048, 22402, 1026, 3407, 1009, 10821, 1068, 5034, 1187, 8813, 1049, 5611, 2270, 1, 1063, 8116, 1060, 17932, 1187, 7114, 23731, 1114, 4338, 20, 1063, 10562, 1048, 23702, 1026, 5054, 13708, 1006, 9924, 3068, 9710, 20914, 1349, 1288, 1086, 4392, 1717, 1026, 2670, 14900, 9581, 1005, 1141, 13612, 1044, 1543, 3208, 1072, 6307, 50, 2338, 3407, 5594, 1506, 1049, 2743, 1195, 12516, 1114, 3757, 20247, 1309, 1620, 3971, 1589, 1006, 9924, 1187, 2429, 13310, 1048, 1327, 20248, 8745, 1048, 1693, 8383, 1006, 5576, 20, 7027, 1132, 20415, 1596, 9934, 8003, 1845, 8116, 1298, 1848, 8557, 1068, 1026, 25836, 15345, 1213, 1178, 5365, 1069, 1118, 1094, 10562, 14617, 1026, 2743, 1160, 3135, 1049, 3429, 1049, 31804, 1060, 4338, 7585, 13203, 1060, 8797, 1005, 11737, 15969, 6639, 1048, 1006, 8116, 2374, 4427, 1140, 1318, 1072, 31804, 10237, 3005, 1026, 2417, 3135, 13275, 17452, 8300, 1678, 1009, 1044, 3225, 1009, 1487, 3612, 4784, 3983, 7804, 1026, 2743, 4834, 1048, 1178, 12516, 1118, 3364, 1060, 21360, 1996, 1009, 1848, 1068, 1026, 5611, 2270, 11020, 39, 31838, 5857, 1986, 1006, 13064, 1140, 1009, 27258, 1060, 8797, 1068, 15140, 1006, 23338, 1009, 7114, 1009, 3759, 1452, 15291, 1005, 31005, 1711, 73, 23286, 1048, 16878, 4863, 8167, 1009, 11597, 621, 6583, 1026, 1592, 4465, 1009, 11915, 2484, 12573, 1068, 1124, 10892, 3759, 1452, 1845, 7513, 4064, 1006, 1178, 22047, 26395, 1986, 17044, 1043, 6428, 1009, 24738, 1048, 7949, 1006, 16012, 27965, 14151, 5193, 1009, 1211, 3298, 13922, 2427, 5002, 1049, 6387, 1049, 20582, 1026, 6483, 17990, 27908, 1130, 11055, 50, 5523, 30977, 29609, 1079, 1717, 8104, 1024, 1667, 625, 43, 11343, 9935, 1048, 1826, 9175, 1962, 7198, 1015, 3562, 10245, 2258, 1229, 1327, 1006, 2068, 1655, 1731, 8431, 67, 1049, 2670, 1060, 13880, 3336, 2656, 5192, 1159, 1264, 2155, 5115, 4659, 13651, 5634, 4543, 1846, 3987, 3597, 20, 3953, 10775, 1213, 10472, 1679, 7878, 1655, 1295, 1566, 1596, 10517, 1166, 1114, 5576, 7113, 1309, 4343, 7386, 1026, 16194, 5856, 3978, 4324, 1973, 27908, 1130, 2338, 5548, 1049, 2671, 1114, 2968, 1126, 19733, 21849, 15463, 11055, 50, 5523, 53, 1349, 17256, 2464, 2535, 1026, 3407, 3241, 1592, 1048, 4054, 1068, 1026, 16142, 3335, 1006, 9743, 1060, 8116, 1187, 7114, 1298, 1178, 1403, 23136, 2373, 3036, 3028, 7898, 1096, 8900, 4324, 1973, 1026, 5548, 3172, 1160, 9410, 1058, 27908, 1130, 4291, 12716, 3473, 20188, 3843, 5698, 1060, 21360, 1006, 8116, 1060, 17932, 1187, 7114, 1620, 4597, 1048, 4125, 1356, 5611, 2270, 1063, 24093, 1055, 1271, 6264, 1009, 16167, 1005, 2381, 1121, 1068, 1006, 8515, 10206, 1005, 9017, 7546, 1566, 1195, 16134, 1463, 2156, 2968, 29872, 2671, 12491, 1054, 3261, 1213, 7026, 1026, 2743, 1048, 7081, 2140, 1197, 1132, 11278, 1068, 1048, 7114, 1365, 83, 1114, 1098, 1974, 3843, 4733, 6690, 1060, 30171, 2068, 11292, 1049, 20582, 9581, 16471, 1114, 2921, 5576, 1006, 24093, 1055, 1463, 23433, 1271, 15607, 23383, 1845, 20697, 1516, 1048, 2824, 9930, 4368, 6616, 8651, 5993, 6816, 1054, 2256, 1646, 12474, 1124, 3606, 6264, 1009, 16167, 1005, 1124, 9524, 22535, 8078, 1580, 1006, 12469, 1049, 30236, 2784, 10528, 1005, 1063, 15468, 13881, 3336, 5552, 1043, 13647, 1026, 24587, 1060, 7188, 1126, 6483, 16102, 31649, 11369, 15598, 13437, 2314, 4134, 15908, 15168, 2698, 1132, 9088, 1068, 2306, 1620, 2155, 1058, 28594, 2170, 1054, 10045, 1126, 2977, 1379, 1044, 4465, 1184, 6518, 1060, 1030, 29759, 14779, 2309, 7114, 1159, 1871, 1009, 5066, 1024, 1124, 2381, 1121, 4964, 2869, 1233, 3573, 5823, 1026, 6483, 13320, 1048, 1006, 1155, 5624, 7551, 1681, 71, 1187, 9227, 9160, 7089, 1068, 11587, 7089, 18, 1054, 7434, 1005, 1068, 9930, 7089, 18, 1054, 19742, 1063, 5576, 3462, 1244, 1785, 1044, 6778, 1081, 1303, 1068, 4537, 1054, 9930, 7089, 1054, 6391, 1845, 4840, 1049, 2671, 1516, 2464, 1068, 4659, 1114, 4453, 1126, 2909, 3654, 15266, 1132, 2595, 1646, 1009, 12236, 1184, 1044, 2373, 4896, 17016, 626, 1009, 2128, 11, 1322, 1026, 1557, 10711, 4634, 1138, 2017, 3407, 13320, 1044, 2395, 2016, 1009, 2595, 1646, 1068, 6275, 2864, 1072, 1557, 8407, 1009, 3159, 1657, 1068, 2306, 1620, 21641, 1463, 4670, 11821, 39, 6922, 1271, 6476, 18, 1006, 2759, 9482, 13320, 1048, 1026, 5802, 1060, 4375, 1463, 7685, 1060, 4630, 10801, 1680, 4958, 1049, 2161, 3635, 3038, 1024, 2758, 11222, 14739, 1233, 2236, 1009, 3227, 4345, 9065, 1075, 1412, 1006, 13183, 1009, 8419, 7114, 1005, 26431, 1114, 5576, 20, 1138, 2743, 12516, 13320, 1048, 3530, 4085, 4054, 1027, 1124, 10529, 6264, 1271, 15607, 23383, 1005, 6622, 1027, 1124, 10529, 8238, 1009, 12236, 23557, 8862, 6639, 16167, 10677, 1005, 1048, 1026, 10472, 2374, 30639, 1009, 2303, 1043, 1132, 2395, 1361, 1858, 1006, 2306, 1325, 1114, 2248, 1377, 1534, 1124, 5376, 6626, 1118, 22607, 1006, 10937, 1009, 5337, 1009, 6151, 2824, 17074, 6616, 1068, 1132, 1090, 2585, 1043, 1006, 8116, 1068, 8419, 7114, 1005, 7797, 5425, 4291, 12716, 10996, 5369, 7039, 1009, 15929, 1054, 1646, 2960, 1007, 3633, 2595, 52, 5992, 8263, 16, 6275, 7037, 1566, 1325, 1114, 13977, 1463, 15607, 6729, 3273, 1225, 6264, 1184, 30104, 1138, 2120, 17016, 1096, 1009, 2128, 11, 33, 1557, 4051, 1322, 1026, 1048, 3971, 1068, 15266, 1006, 8263, 3633, 43, 1462, 2113, 1060, 1155, 5624, 7551, 29462, 22285, 5954, 1054, 4925, 3209, 11587, 7089, 39, 2323, 4579, 9930, 7089, 40, 1051, 22535, 1068, 7114, 1175, 9649, 1188, 1026, 3282, 1233, 10677, 1149, 16150, 1010, 1032, 10554, 1043, 10511, 10677, 15, 1175, 6782, 1233, 1415, 1149, 1071, 6691, 7761, 1018, 1159, 2306, 1325, 1114, 13977, 15, 1175, 10497, 6641, 5711, 1027, 1592, 1068, 2306, 1620, 2155, 4659, 1114, 3560, 1175, 20020, 13320, 2395, 1361, 1963, 24956, 1005, 1009, 11915, 5775, 1068, 1124, 15607, 23383, 16, 7273, 1068, 2306, 1620, 2155, 4659, 1463, 23433, 44, 11325, 4813, 1060, 5337, 1005, 2743, 1009, 3940, 2182, 4368, 9521, 1, 7906, 1708, 7178, 1048, 10621, 1054, 3584, 4934, 1009, 2955, 12797, 1747, 18, 1114, 4111, 5636, 1411, 30124, 3629, 1049, 2671, 1049, 1561, 1068, 3417, 1026, 1908, 1005, 1160, 4082, 1656, 1026, 14299, 1009, 1006, 26321, 1138, 2417, 1225, 75, 1026, 1494, 1237, 2582, 10408, 1060, 7427, 1118, 3865, 1009, 14766, 9701, 1365, 17228, 1480, 1005, 1026, 17574, 1009, 1084, 3420, 7493, 1723, 3375, 2630, 1009, 3130, 2102, 7178, 2392, 1046, 1114, 1431, 1174, 1368, 5121, 7272, 1009, 4843, 4260, 1043, 19603, 1054, 3584, 21070, 1094, 1271, 3145, 4761, 1049, 7751, 2342, 1436, 2712, 1070, 10581, 24920, 1294, 4679, 1646, 5675, 3707, 1009, 6900, 1009, 13664, 1054, 3902, 1009, 6543, 1184, 27150, 1005, 1043, 4792, 1316, 3613, 2444, 1572, 2641, 1402, 3375, 2630, 1009, 24362, 7178, 2643, 1058, 12194, 1118, 4440, 1009, 17226, 20, 1766, 6900, 9656, 1412, 1114, 9560, 20392, 15, 1094, 6866, 1213, 1376, 5408, 1049, 6220, 1138, 3489, 1096, 1048, 1006, 10068, 10374, 2672, 13177, 5922, 3994, 1233, 12048, 1068, 1048, 1026, 14299, 2374, 2232, 13358, 1043, 25391, 1005, 3638, 6326, 1178, 8364, 20515, 1138, 2822, 1049, 14299, 1325, 12573, 1068, 2475, 1009, 3049, 7366, 14766, 1566, 4217, 83, 2156, 7082, 1072, 6402, 1309, 1006, 7427, 10483, 2271, 1026, 2822, 1009, 3757, 1054, 3584, 4934, 20, 4116, 2444, 6275, 1783, 8097, 25731, 1054, 24773, 1043, 22764, 2271, 8184, 19829, 1349, 2277, 1026, 3761, 2386, 2231, 11888, 2652, 6201, 3865, 1271, 6744, 4650, 1006, 1641, 1225, 4995, 1118, 9607, 1009, 29234, 1005, 1026, 6545, 1998, 5325, 1495, 1124, 2224, 2975, 1026, 1048, 23226, 1495, 1006, 5554, 1009, 6648, 20, 2034, 3145, 14387, 1060, 4930, 1048, 3475, 1118, 1094, 14966, 5661, 1596, 7353, 1312, 1118, 22764, 1005, 1006, 2579, 11424, 1055, 2755, 1657, 1006, 5768, 1206, 1009, 17977, 20, 1063, 12168, 1009, 13664, 28609, 11440, 12033, 2638, 16303, 1803, 31752, 1919, 2464, 2247, 1049, 8393, 1009, 19187, 1225, 2281, 4417, 4305, 3453, 1049, 6220, 60, 1480, 6900, 9577, 1043, 3629, 1187, 10336, 22817, 5430, 1048, 13326, 22275, 1271, 6428, 1009, 7178, 1005, 17871, 1046, 1026, 3453, 1068, 1132, 6900, 1711, 1491, 1132, 1173, 1229, 1160, 1225, 2281, 2481, 2808, 3592, 9913, 8, 27252, 1054, 1011, 5415, 1197, 1013, 9672, 2271, 6282, 20247, 1309, 1006, 7427, 1058, 5177, 12476, 1406, 1919, 9475, 1048, 1096, 1155, 3446, 1009, 13664, 1114, 7272, 20, 15888, 1079, 1043, 19187, 1493, 19187, 1096, 1094, 16369, 2194, 1005, 27203, 1005, 1160, 12950, 1026, 1048, 21932, 1063, 4614, 5662, 8512, 1009, 24183, 1126, 24741, 1005, 1068, 1006, 4614, 1048, 1096, 20034, 1006, 4087, 1096, 1620, 8976, 2855, 46, 1045, 1051, 1096, 3888, 1009, 1128, 2431, 19328, 5583, 30977, 1005, 18572, 1072, 4288, 1054, 14982, 3720, 2612, 2464, 1992, 1159, 1734, 7998, 1273, 1225, 1090, 24499, 6648, 20, 9649, 2130, 5097, 3368, 1159, 3111, 19928, 1005, 9242, 1009, 22045, 2643, 2281, 15651, 1356, 23885, 1049, 4410, 1294, 17105, 4507, 12059, 1054, 1048, 1026, 6545, 2947, 6888, 1845, 12168, 5649, 2464, 4850, 1187, 5040, 7010, 1132, 7178, 1620, 1826, 1289, 6420, 1005, 1132, 10624, 1693, 3659, 16952, 1554, 2951, 1521, 4319, 9272, 1005, 1160, 2569, 3819, 4011, 23662, 1406, 1919, 20, 6771, 1160, 5756, 18627, 10547, 1060, 12048, 1068, 1048, 1132, 4988, 6326, 3417, 1026, 1908, 1305, 6388, 1026, 14299, 20, 1063, 1431, 1174, 1368, 5121, 2277, 1132, 20985, 2540, 15580, 1049, 1376, 5408, 4011, 1068, 1048, 4172, 21883, 1132, 4988, 1305, 1048, 9545, 8209, 1043, 1006, 9834, 2712, 1070, 13864, 27660, 9710, 20914, 1349, 1132, 6900, 1058, 22368, 4202, 1072, 19603, 1060, 12048, 1068, 5348, 1122, 1130, 1005, 17917, 1094, 2360, 6866, 1068, 1026, 24133, 2270, 14176, 5326, 23009, 1318, 1261, 1006, 8300, 1049, 29898, 20, 1138, 2417, 1620, 2540, 1702, 1251, 2816, 1049, 2671, 4011, 1068, 3371, 1132, 1048, 29889, 5392, 1049, 7751, 24417, 5043, 4988, 1160, 2643, 6758, 1009, 5392, 1049, 6402, 1026, 3872, 2191, 1009, 5392, 2364, 1096, 1009, 10424, 1406, 1919, 28609, 1845, 14543, 25919, 2266, 1213, 4813, 1271, 14671, 1955, 1363, 11199, 1048, 1495, 1006, 7922, 3960, 3407, 1160, 2284, 2470, 2270, 1138, 4813, 1060, 5673, 1318, 1195, 7468, 1599, 1309, 9704, 1048, 1026, 5054, 1976, 1178, 12196, 1356, 3614, 1046, 25201, 3965, 1063, 16229, 5543, 1054, 4280, 1043, 1006, 1431, 1174, 1368, 5121, 1309, 1160, 3661, 3484, 11554, 1302, 1708, 1114, 21904, 1318, 27656, 3629, 1213, 17491, 1049, 6483, 19399, 1027, 14413, 2645, 1209, 3936, 23988, 1048, 2521, 4280, 1043, 1026, 28961, 1005, 1043, 1006, 25031, 13209, 1060, 18493, 6301, 10016, 1365, 26020, 1005, 1026, 17574, 1009, 1084, 3420, 6884, 1986, 1006, 25245, 1049, 5548, 8579, 11382, 19446, 1114, 9707, 18369, 1565, 1138, 5995, 12684, 14591, 18, 9295, 4553 ]

[ 1493, 1009, 11140, 1668, 5610, 5920, 1026, 7044, 2733, 5747, 9889, 1114, 15737, 1006, 3450, 1049, 1050, 14339, 1516, 1009, 1944, 3450, 1005, 1006, 6735, 1009, 22410, 2521, 1043, 1048, 10272, 2049, 1044, 3615, 1459, 4330, 1599, 1082, 2545, 1005, 5956, 1048, 1096, 1044, 9034, 2222, 33, 1026, 30006, 4108, 1058, 4312, 2551, 5328, 2340, 1422, 3095, 1160, 4217, 1493, 4248, 1592, 1043, 2444, 1009, 3939, 93, 3624, 1678, 1503, 14670, 1043, 2444, 1009, 2191, 1531, 1009, 1050, 1241, 1253, 1009, 2490, 1499, 7733, 2170, 1159, 1026, 1190, 1160, 6409, 1178, 1494, 11664, 1599, 1323, 3745, 4619, 1249, 1656, 1014, 1752, 1086, 7551, 1495, 1044, 9624, 19091, 2845, 20, 2654, 3711, 2666, 1668, 22046, 2979, 2364, 37, 17626, 1044, 24000, 22559, 1184, 30006, 1049, 1048, 1124, 24358, 3280, 30722, 20905, 50, 1101, 3095, 1118, 1791, 2556, 6875, 27078, 1837, 1493, 1184, 9138, 2274, 1309, 1006, 16997, 1342, 1325, 6794, 1009, 28947, 88, 1005, 6178, 1298, 20615, 8134, 8811, 1158, 3095, 20, 2013, 1094, 16997, 1342, 12908, 1072, 20727, 1054, 1472, 1009, 1094, 2987, 16997, 1342, 1009, 9636, 9178, 1048, 1299, 3250, 1054, 24358, 3280, 30722, 20905, 13905, 1096, 1044, 30006, 20, 4685, 6293, 1026, 1119, 50, 1050, 1241, 1253, 3987, 2596, 1493, 1184, 15144, 1049, 1048, 16997, 2227, 3532, 2287, 1005, 1005, 2427, 5624, 1402, 1009, 13661, 9327, 4519, 1192, 2682, 29528, 1009, 3886, 30324, 2135, 3114, 30324, 15, 9493, 11879, 1419, 1616, 1847, 7048, 1159, 1044, 7044, 1009, 1086, 1660, 5936, 1068, 1783, 1048, 17420, 11542, 1119, 50, 1050, 1241, 1253, 1305, 16012, 1344, 4503, 89, 29635, 1005, 1006, 10545, 3165, 1009, 6016, 1005, 2427, 5624, 1402, 2349, 4837, 1299, 1298, 18486, 1048, 1124, 29037, 1009, 22410, 1327, 31555, 1005, 2643, 1044, 10278, 24067, 1153, 5328, 1005, 5956, 1048, 1026, 12924, 4612, 1005, 1305, 9007, 1026, 13243, 7322, 1068, 12952, 1006, 1044, 1050, 1241, 1014, 2493, 4559, 1068, 1381, 22302, 8347, 14855, 3988, 1094, 2596, 1184, 15744, 1009, 2071, 1026, 7321, 79, 1842, 28294, 27041, 1026, 1190, 1009, 16997, 1342, 3532, 1519, 1206, 1026, 1344, 4503, 1043, 1044, 1866, 17032, 1006, 29992, 1416, 6762, 1160, 3002, 10218, 1048, 3074, 6909, 1616, 6914, 15, 1096, 1048, 1299, 1160, 4597, 1132, 7841, 22410, 24067, 28095, 1271, 24358, 3280, 7962, 1255, 5757, 7823, 2654, 3711, 12720, 1048, 1006, 7321, 79, 1211, 1665, 3530, 1005, 2427, 5624, 1402, 3959, 74, 3240, 1309, 1761, 13578, 9390, 3993, 22752, 16, 11840, 16, 1503, 10203, 1026, 7321, 79, 1842, 28294, 1005, 1132, 1190, 89, 7962, 1255, 5757, 1402, 1356, 2161, 14069, 8409, 2276, 5417, 1160, 3002, 14082, 5373, 1554, 1138, 1344, 4503, 1096, 2072, 24998, 1068, 25837, 2950, 1068, 1119, 50, 1050, 1241, 4566, 1096, 4724, 8878, 1225, 1044, 5802, 25727, 1005, 1132, 1005, 2427, 5624, 1402, 1327, 1009, 3596, 21940, 10497, 4234, 22410, 29471, 1114, 2348, 5131, 1118, 1702, 1557, 1005, 1160, 6581, 6141, 1054, 1094, 13051, 7155, 1009, 1005, 2427, 5624, 1188, 7655, 3057, 1531, 1005, 5293, 1009, 5802, 10404, 1005, 25681, 1184, 5925, 9419, 1124, 24358, 3280, 7962, 1358, 4407, 1005, 11892, 2445, 3775, 1493, 2574, 4532, 1452, 1005, 1094, 4169, 2519, 20, 4714, 13831, 2246, 1132, 22410, 1005, 1006, 3450, 1049, 1050, 14339, 1327, 13928, 1009, 1160, 5179, 1930, 1309, 1503, 6438, 31230, 1124, 1783, 1068, 1094, 2596, 1184, 15744, 1009, 1050, 1241, 11448, 1005, 4125, 1068, 1026, 1190, 1009, 16997, 1342, 3532, 1519, 1026, 1184, 6518, 12338, 2340, 1026, 7044, 1096, 1044, 7640, 28720, 1009, 23949, 1005, 1094, 3593, 5342, 1094, 1472, 1299, 5090, 1006, 2071, 16997, 2227, 3532, 2287, 1005, 1006, 2071, 1005, 2427, 5624, 1402, 1009, 13661, 1009, 7423, 1712, 2098, 1219, 2147, 9107, 3670, 1323, 1026, 1131, 1047, 1118, 16735, 3360, 1009, 31295, 1132, 1190, 89, 7962, 1255, 5757, 1402, 1005, 3711, 12280, 3971, 4313, 2364, 1048, 17542, 1664, 18180, 14581, 4883, 1184, 37, 1144, 1627, 1160, 3002, 6313, 1043, 2122, 2096, 4385, 1309, 1274, 11809, 1026, 1190, 3532, 1519, 1005, 1026, 7321, 79, 1842, 28294, 1493, 15208, 1019, 8145, 1691, 1171, 1580, 1009, 10337, 1009, 22678, 1035, 13251, 1005, 7593, 7441, 1068, 22678, 1035, 13251, 1005, 2089, 5729, 12082, 12252, 1580, 2228, 15090, 18054, 6391, 20478, 8145, 6398, 1467, 3583, 1060, 7321, 79, 1072, 3099, 1009, 22678, 1209, 8922, 1060, 6442, 1049, 2709, 17005, 1094, 3621, 10775, 5578, 1164, 5209, 14337, 6391, 20478, 8145, 6398, 1691, 2811, 1009, 22474, 1009, 8880, 1009, 17503, 1043, 1082, 8820, 47, 1068, 10181, 1072, 1313, 15164, 1223, 1248, 78, 1336, 2677, 2262, 6391, 1603, 1722, 15090, 21140, 6391, 20478, 8145, 675, 2065, 61, 1045, 3355, 5621, 1082, 8820, 47, 26713, 6153, 14339, 1098, 7815, 2159, 2438, 2807, 1899, 14461, 16890, 4418, 1612, 15732, 63, 1400, 47, 2020, 1120, 2604, 3970, 2448, 7793, 89, 27884, 1109, 11417, 1678, 26768, 25178, 17135, 9539, 1082, 8820, 47, 5962, 1059, 359, 388, 386, 376, 391, 382, 390, 29563, 1132, 3195, 54, 3831, 22163, 3924, 1128, 54, 23577, 21596, 20761, 124, 23272, 57, 2870, 3710, 6089, 2818, 1073, 9753, 60, 7567, 2545, 51, 9753, 1073, 9753, 1691, 8820, 47, 1691, 8820, 47, 29516, 1689, 5, 387, 386, 376, 376, 398, 388, 378, 372, 17888, 2513, 1016, 19949, 5182, 1660, 8396, 4652, 5765, 4983, 1769, 2608, 2484, 1009, 11520, 1149, 1049, 1949, 30405, 1800, 1005, 6196, 1887, 2995, 1362, 2934, 1691, 8820, 47, 31881, 51, 8820, 47, 13795, 5487, 16111, 1034, 1009, 17503, 1990, 18294, 3238, 1060, 5660, 8018, 10819, 8532, 1274, 5, 359, 360, 350, 349, 363, 359, 360, 350, 351, 349, 350, 357, 353, 350, 32, 675, 362, 386, 379, 380, 675, 387, 388, 386, 376, 391, 382, 390, 675, 384, 386, 378, 377, 675, 376, 372, 675, 374, 380, 675, 380, 379, 383, 386, 378, 380, 675, 385, 372, 675, 393, 380, 384, 380, 382, 372, 383, 380, 18, 675, 374, 382, 383, 402, 395, 380, 390, 377, 383, 385, 386, 675, 385, 380, 382, 386, 390, 380, 385, 18, 675, 379, 372, 675, 382, 386, 381, 390, 386, 675, 377, 675, 380, 379, 374, 377, 389, 390, 385, 386, 675, 385, 372, 675, 397, 372, 390, 372, 675, 354, 372, 383, 380, 392, 386, 388, 385, 380, 403, 18, 675, 395, 377, 675, 387, 388, 380, 395, 380, 385, 403, 374, 372, 675, 388, 372, 382, 675, 380, 675, 388, 377, 387, 388, 386, 376, 391, 382, 390, 380, 374, 385, 380, 675, 391, 374, 388, 377, 378, 376, 372, 385, 380, 403, 675, 380, 383, 380, 675, 387, 386, 374, 377, 395, 377, 675, 380, 385, 392, 386, 388, 384, 372, 394, 380, 403, 18, 675, 386, 390, 380, 376, 377, 390, 377, 675, 385, 372, 1008, 5562, 93, 25032, 1916, 73, 1377, 77, 1220, 20, 675, 362, 386, 379, 380, 675, 387, 388, 386, 376, 391, 382, 390, 675, 385, 377, 675, 377, 675, 387, 388, 377, 376, 385, 372, 379, 385, 372, 395, 377, 385, 675, 379, 372, 675, 387, 388, 386, 376, 372, 378, 373, 372, 675, 380, 383, 380, 675, 391, 387, 386, 390, 388, 377, 373, 372, 675, 386, 390, 675, 383, 380, 394, 372, 675, 387, 386, 376, 3186, 675, 375, 386, 376, 380, 385, 380, 20, 675, 362, 386, 379, 380, 675, 387, 388, 386, 376, 391, 382, 390, 675, 389, 398, 376, 398, 388, 378, 372, 675, 385, 380, 382, 386, 390, 380, 385, 20, 675, 357, 380, 382, 386, 390, 380, 385, 398, 390, 675, 377, 675, 387, 388, 380, 389, 390, 388, 372, 389, 390, 403, 374, 372, 397, 675, 393, 380, 384, 380, 382, 372, 383, 20, 1, 1082, 145, 57, 9761, 5462, 1163, 4562, 32, 11884, 3883, 4071, 20964, 27692, 2982, 47, 28197, 11056, 2263, 1398, 67, 10972, 1060, 5286, 1063, 64, 6767, 4071, 675, 1833, 62, 3883, 4071, 20964, 27692, 2982, 47, 28197, 11056, 2263, 1398, 67, 10972, 1060, 5286, 1063, 64, 6767, 4071, 675, 6843, 1193, 2139, 17600, 5398, 1195, 1026, 1853, 1049, 1784, 1054, 9899, 1605, 21988, 7260, 10212, 8291, 17600, 5398, 8413, 21787, 1049, 5333, 1009, 4148, 6304, 1060, 30602, 11084, 1009, 3246, 3068, 14790, 6909, 1048, 1160, 3684, 2908, 1648, 1663, 1026, 2011, 1048, 6479, 6537, 11661, 7517, 1089, 2092, 2743, 1054, 3049, 1009, 7218, 20973, 29055, 1309, 1857, 17692, 1043, 2880, 5437, 9169, 2654, 1160, 7482, 1009, 3659, 1657, 17206, 1054, 1094, 6950, 2469, 1309, 1009, 1663, 14970, 5819, 1057, 1321, 2777, 2160, 18, 27742, 5392, 1406, 1973, 1264, 1233, 4132, 4971, 13864, 1, 6908, 1139, 0, 89, 3775, 15617, 8381, 1006, 2323, 3987, 15381, 8584, 1175, 8384, 26049, 13624, 121, 15516, 2834, 1242, 121, 41, 1436, 121, 41, 75, 1139, 0, 89, 3775, 15617, 8381, 1006, 2323, 3987, 15381, 8584, 1797, 75, 1139, 1049, 2293, 83, 1930, 1992, 1159, 1132, 23180, 2177, 15617, 2139, 13984, 1759, 168, 26049, 2595, 1009, 3042, 1009, 3209, 4, 41, 1436, 5640, 6908, 1139, 3490, 4054, 1027, 22706, 4408, 11263, 1576, 71, 1814, 1973, 1048, 1026, 12409, 1303, 2177, 22836, 2252, 1124, 2799, 2370, 2132, 2032, 1068, 1048, 1026, 14810, 4172, 6811, 1026, 2788, 1005, 5379, 2688, 1132, 2250, 1005, 13682, 1048, 1826, 5262, 1068, 13354, 1026, 1235, 5883, 20, 20577, 6048, 1187, 6908, 1139, 3490, 15829, 1009, 2750, 1006, 2799, 2528, 1043, 7333, 1009, 5883, 8421, 23697, 1138, 2293, 4013, 18261, 1005, 1026, 5683, 1609, 11370, 7341, 18261, 1271, 1779, 78, 1726, 1578, 2975, 1005, 1026, 1060, 23117, 5954, 7334, 1049, 4365, 1291, 1005, 18261, 21456, 15239, 1271, 1779, 78, 1726, 24886, 3812, 19286, 12409, 1069, 12409, 1303, 5883, 23331, 9650, 4517, 12523, 10049, 1923, 1047, 1303, 7166, 18910, 9707, 15617, 2139, 15617, 17572, 1, 4717, 85, 46, 1152, 13498, 1112, 1068, 1026, 1235, 9891, 1467, 4822, 1034, 1783, 3711, 13967, 1072, 1235, 6262, 1005, 2395, 1091, 1569, 6433, 2555, 1769, 1048, 1299, 3135, 1068, 1569, 18879, 23532, 2344, 2024, 1005, 1460, 6885, 1569, 13468, 1072, 9891, 26582, 1009, 19532, 5232, 1049, 1235, 6687, 6762, 1009, 1571, 1184, 1299, 9578, 1349, 1299, 1318, 1298, 12409, 1024, 1124, 13468, 1005, 19351, 1026, 1235, 2011, 5735, 2970, 1294, 1809, 23520, 16, 25238, 1068, 7685, 1009, 9891, 1043, 1184, 1009, 1782, 1910, 13220, 1797, 2520, 1337, 12782, 1783, 7284, 3021, 1729, 1013, 1456, 3770, 1072, 9891, 2324, 9997, 3159, 3629, 1299, 1006, 10596, 1235, 9891, 2328, 1009, 6306, 1009, 7925, 3666, 7303, 3812, 2315, 1006, 1853, 27165, 1009, 9891, 2555, 1769, 1048, 1299, 3135, 1068, 5275, 1456, 3770, 8018, 76, 1706, 1013, 1159, 21653, 1005, 3028, 5732, 10500, 1945, 1009, 2289, 2875, 9886, 3919, 20764, 1118, 4796, 4279, 1048, 1299, 1788, 1007, 1420, 8863, 1043, 1026, 2999, 28366, 8120, 1206, 5300, 3021, 10781, 24001, 1005, 9658, 18, 1068, 6931, 1783, 7284, 1048, 4444, 16182, 1005, 1043, 4957, 1068, 4054, 1299, 1318, 1704, 2380, 1096, 2220, 27676, 1068, 1048, 1299, 28591, 71, 1060, 1853, 9546, 2481, 1009, 6187, 1043, 3227, 10058, 1068, 1224, 2612, 22311, 1162, 1694, 1456, 3344, 5257, 89, 1006, 2323, 1049, 6687, 1005, 13970, 1208, 1557, 1068, 1026, 1048, 1184, 1966, 1605, 9891, 1096, 1094, 4668, 2460, 7869, 1009, 1083, 19842, 1009, 5015, 20, 19163, 1060, 3028, 8790, 1126, 1299, 4291, 3919, 83, 1754, 1060, 1853, 2596, 20, 10253, 3046, 1009, 1299, 1178, 1044, 5038, 1100, 1044, 6262, 1206, 1044, 6438, 79, 3858, 2930, 4758, 10239, 1069, 18450, 1224, 2612, 1009, 9891, 1006, 6931, 1026, 3867, 3319, 3590, 1392, 1005, 2266, 1068, 1299, 19844, 1493, 1680, 1072, 9891, 3008, 1105, 1508, 1124, 9605, 1068, 1124, 9312, 1184, 2229, 1916, 1134, 2059, 1006, 6411, 1068, 4408, 1024, 2252, 1124, 1569, 9312, 2328, 1049, 2930, 5875, 18, 1356, 25902, 1206, 22093, 1072, 5646, 4331, 8333, 7, 1138, 4717, 85, 46, 5325, 8934, 4889, 1005, 1592, 1511, 1299, 5037, 1043, 1026, 6687, 16121, 1069, 1264, 3738, 7195, 11039, 14005, 1124, 8823, 1048, 1299, 5149, 1704, 4717, 85, 46, 1160, 1096, 1044, 2380, 1009, 5554, 1009, 13220, 6762, 5179, 1508, 1048, 1299, 12457, 4360, 13220, 1565, 1424, 1026, 4717, 85, 46, 1299, 1058, 4279, 1178, 9876, 1005, 3201, 1118, 22332, 1009, 2303, 1043, 1456, 9200, 1005, 1048, 1299, 1592, 5149, 150, 1114, 27165, 1704, 2380, 1009, 3603, 1049, 4717, 85, 46, 1096, 5560, 6957, 3723, 1005, 2289, 5325, 1072, 2803, 1048, 1299, 5807, 6631, 1224, 28292, 2605, 2535, 1299, 1160, 3241, 7510, 1009, 6939, 1318, 4291, 4571, 1930, 3283, 4659, 1054, 4280, 15382, 1048, 1109, 16671, 10514, 1043, 1044, 2568, 1009, 6222, 13501, 1704, 4717, 85, 46, 1096, 7079, 23126, 2315, 4209, 1043, 7685, 1048, 4311, 1046, 1184, 1009, 1487, 2621, 13220, 1118, 12686, 1309, 2289, 2155, 13886, 1060, 8692 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1009, 11140, 1668, 5610, 5920, 1026, 7044, 2733, 5747, 9889, 1114, 15737, 1006, 3450, 1049, 1050, 14339, 1516, 1009, 1944, 3450, 1005, 1006, 6735, 1009, 22410, 2521, 1043, 1048, 10272, 2049, 1044, 3615, 1459, 4330, 1599, 1082, 2545, 1005, 5956, 1048, 1096, 1044, 9034, 2222, 33, 1026, 30006, 4108, 1058, 4312, 2551, 5328, 2340, 1422, 3095, 1160, 4217, 1493, 4248, 1592, 1043, 2444, 1009, 3939, 93, 3624, 1678, 1503, 14670, 1043, 2444, 1009, 2191, 1531, 1009, 1050, 1241, 1253, 1009, 2490, 1499, 7733, 2170, 1159, 1026, 1190, 1160, 6409, 1178, 1494, 11664, 1599, 1323, 3745, 4619, 1249, 1656, 1014, 1752, 1086, 7551, 1495, 1044, 9624, 19091, 2845, 20, 2654, 3711, 2666, 1668, 22046, 2979, 2364, 37, 17626, 1044, 24000, 22559, 1184, 30006, 1049, 1048, 1124, 24358, 3280, 30722, 20905, 50, 1101, 3095, 1118, 1791, 2556, 6875, 27078, 1837, 1493, 1184, 9138, 2274, 1309, 1006, 16997, 1342, 1325, 6794, 1009, 28947, 88, 1005, 6178, 1298, 20615, 8134, 8811, 1158, 3095, 20, 2013, 1094, 16997, 1342, 12908, 1072, 20727, 1054, 1472, 1009, 1094, 2987, 16997, 1342, 1009, 9636, 9178, 1048, 1299, 3250, 1054, 24358, 3280, 30722, 20905, 13905, 1096, 1044, 30006, 20, 4685, 6293, 1026, 1119, 50, 1050, 1241, 1253, 3987, 2596, 1493, 1184, 15144, 1049, 1048, 16997, 2227, 3532, 2287, 1005, 1005, 2427, 5624, 1402, 1009, 13661, 9327, 4519, 1192, 2682, 29528, 1009, 3886, 30324, 2135, 3114, 30324, 15, 9493, 11879, 1419, 1616, 1847, 7048, 1159, 1044, 7044, 1009, 1086, 1660, 5936, 1068, 1783, 1048, 17420, 11542, 1119, 50, 1050, 1241, 1253, 1305, 16012, 1344, 4503, 89, 29635, 1005, 1006, 10545, 3165, 1009, 6016, 1005, 2427, 5624, 1402, 2349, 4837, 1299, 1298, 18486, 1048, 1124, 29037, 1009, 22410, 1327, 31555, 1005, 2643, 1044, 10278, 24067, 1153, 5328, 1005, 5956, 1048, 1026, 12924, 4612, 1005, 1305, 9007, 1026, 13243, 7322, 1068, 12952, 1006, 1044, 1050, 1241, 1014, 2493, 4559, 1068, 1381, 22302, 8347, 14855, 3988, 1094, 2596, 1184, 15744, 1009, 2071, 1026, 7321, 79, 1842, 28294, 27041, 1026, 1190, 1009, 16997, 1342, 3532, 1519, 1206, 1026, 1344, 4503, 1043, 1044, 1866, 17032, 1006, 29992, 1416, 6762, 1160, 3002, 10218, 1048, 3074, 6909, 1616, 6914, 15, 1096, 1048, 1299, 1160, 4597, 1132, 7841, 22410, 24067, 28095, 1271, 24358, 3280, 7962, 1255, 5757, 7823, 2654, 3711, 12720, 1048, 1006, 7321, 79, 1211, 1665, 3530, 1005, 2427, 5624, 1402, 3959, 74, 3240, 1309, 1761, 13578, 9390, 3993, 22752, 16, 11840, 16, 1503, 10203, 1026, 7321, 79, 1842, 28294, 1005, 1132, 1190, 89, 7962, 1255, 5757, 1402, 1356, 2161, 14069, 8409, 2276, 5417, 1160, 3002, 14082, 5373, 1554, 1138, 1344, 4503, 1096, 2072, 24998, 1068, 25837, 2950, 1068, 1119, 50, 1050, 1241, 4566, 1096, 4724, 8878, 1225, 1044, 5802, 25727, 1005, 1132, 1005, 2427, 5624, 1402, 1327, 1009, 3596, 21940, 10497, 4234, 22410, 29471, 1114, 2348, 5131, 1118, 1702, 1557, 1005, 1160, 6581, 6141, 1054, 1094, 13051, 7155, 1009, 1005, 2427, 5624, 1188, 7655, 3057, 1531, 1005, 5293, 1009, 5802, 10404, 1005, 25681, 1184, 5925, 9419, 1124, 24358, 3280, 7962, 1358, 4407, 1005, 11892, 2445, 3775, 1493, 2574, 4532, 1452, 1005, 1094, 4169, 2519, 20, 4714, 13831, 2246, 1132, 22410, 1005, 1006, 3450, 1049, 1050, 14339, 1327, 13928, 1009, 1160, 5179, 1930, 1309, 1503, 6438, 31230, 1124, 1783, 1068, 1094, 2596, 1184, 15744, 1009, 1050, 1241, 11448, 1005, 4125, 1068, 1026, 1190, 1009, 16997, 1342, 3532, 1519, 1026, 1184, 6518, 12338, 2340, 1026, 7044, 1096, 1044, 7640, 28720, 1009, 23949, 1005, 1094, 3593, 5342, 1094, 1472, 1299, 5090, 1006, 2071, 16997, 2227, 3532, 2287, 1005, 1006, 2071, 1005, 2427, 5624, 1402, 1009, 13661, 1009, 7423, 1712, 2098, 1219, 2147, 9107, 3670, 1323, 1026, 1131, 1047, 1118, 16735, 3360, 1009, 31295, 1132, 1190, 89, 7962, 1255, 5757, 1402, 1005, 3711, 12280, 3971, 4313, 2364, 1048, 17542, 1664, 18180, 14581, 4883, 1184, 37, 1144, 1627, 1160, 3002, 6313, 1043, 2122, 2096, 4385, 1309, 1274, 11809, 1026, 1190, 3532, 1519, 1005, 1026, 7321, 79, 1842, 28294, 1493, 15208, 1019, 8145, 1691, 1171, 1580, 1009, 10337, 1009, 22678, 1035, 13251, 1005, 7593, 7441, 1068, 22678, 1035, 13251, 1005, 2089, 5729, 12082, 12252, 1580, 2228, 15090, 18054, 6391, 20478, 8145, 6398, 1467, 3583, 1060, 7321, 79, 1072, 3099, 1009, 22678, 1209, 8922, 1060, 6442, 1049, 2709, 17005, 1094, 3621, 10775, 5578, 1164, 5209, 14337, 6391, 20478, 8145, 6398, 1691, 2811, 1009, 22474, 1009, 8880, 1009, 17503, 1043, 1082, 8820, 47, 1068, 10181, 1072, 1313, 15164, 1223, 1248, 78, 1336, 2677, 2262, 6391, 1603, 1722, 15090, 21140, 6391, 20478, 8145, 675, 2065, 61, 1045, 3355, 5621, 1082, 8820, 47, 26713, 6153, 14339, 1098, 7815, 2159, 2438, 2807, 1899, 14461, 16890, 4418, 1612, 15732, 63, 1400, 47, 2020, 1120, 2604, 3970, 2448, 7793, 89, 27884, 1109, 11417, 1678, 26768, 25178, 17135, 9539, 1082, 8820, 47, 5962, 1059, 359, 388, 386, 376, 391, 382, 390, 29563, 1132, 3195, 54, 3831, 22163, 3924, 1128, 54, 23577, 21596, 20761, 124, 23272, 57, 2870, 3710, 6089, 2818, 1073, 9753, 60, 7567, 2545, 51, 9753, 1073, 9753, 1691, 8820, 47, 1691, 8820, 47, 29516, 1689, 5, 387, 386, 376, 376, 398, 388, 378, 372, 17888, 2513, 1016, 19949, 5182, 1660, 8396, 4652, 5765, 4983, 1769, 2608, 2484, 1009, 11520, 1149, 1049, 1949, 30405, 1800, 1005, 6196, 1887, 2995, 1362, 2934, 1691, 8820, 47, 31881, 51, 8820, 47, 13795, 5487, 16111, 1034, 1009, 17503, 1990, 18294, 3238, 1060, 5660, 8018, 10819, 8532, 1274, 5, 359, 360, 350, 349, 363, 359, 360, 350, 351, 349, 350, 357, 353, 350, 32, 675, 362, 386, 379, 380, 675, 387, 388, 386, 376, 391, 382, 390, 675, 384, 386, 378, 377, 675, 376, 372, 675, 374, 380, 675, 380, 379, 383, 386, 378, 380, 675, 385, 372, 675, 393, 380, 384, 380, 382, 372, 383, 380, 18, 675, 374, 382, 383, 402, 395, 380, 390, 377, 383, 385, 386, 675, 385, 380, 382, 386, 390, 380, 385, 18, 675, 379, 372, 675, 382, 386, 381, 390, 386, 675, 377, 675, 380, 379, 374, 377, 389, 390, 385, 386, 675, 385, 372, 675, 397, 372, 390, 372, 675, 354, 372, 383, 380, 392, 386, 388, 385, 380, 403, 18, 675, 395, 377, 675, 387, 388, 380, 395, 380, 385, 403, 374, 372, 675, 388, 372, 382, 675, 380, 675, 388, 377, 387, 388, 386, 376, 391, 382, 390, 380, 374, 385, 380, 675, 391, 374, 388, 377, 378, 376, 372, 385, 380, 403, 675, 380, 383, 380, 675, 387, 386, 374, 377, 395, 377, 675, 380, 385, 392, 386, 388, 384, 372, 394, 380, 403, 18, 675, 386, 390, 380, 376, 377, 390, 377, 675, 385, 372, 1008, 5562, 93, 25032, 1916, 73, 1377, 77, 1220, 20, 675, 362, 386, 379, 380, 675, 387, 388, 386, 376, 391, 382, 390, 675, 385, 377, 675, 377, 675, 387, 388, 377, 376, 385, 372, 379, 385, 372, 395, 377, 385, 675, 379, 372, 675, 387, 388, 386, 376, 372, 378, 373, 372, 675, 380, 383, 380, 675, 391, 387, 386, 390, 388, 377, 373, 372, 675, 386, 390, 675, 383, 380, 394, 372, 675, 387, 386, 376, 3186, 675, 375, 386, 376, 380, 385, 380, 20, 675, 362, 386, 379, 380, 675, 387, 388, 386, 376, 391, 382, 390, 675, 389, 398, 376, 398, 388, 378, 372, 675, 385, 380, 382, 386, 390, 380, 385, 20, 675, 357, 380, 382, 386, 390, 380, 385, 398, 390, 675, 377, 675, 387, 388, 380, 389, 390, 388, 372, 389, 390, 403, 374, 372, 397, 675, 393, 380, 384, 380, 382, 372, 383, 20, 1, 1082, 145, 57, 9761, 5462, 1163, 4562, 32, 11884, 3883, 4071, 20964, 27692, 2982, 47, 28197, 11056, 2263, 1398, 67, 10972, 1060, 5286, 1063, 64, 6767, 4071, 675, 1833, 62, 3883, 4071, 20964, 27692, 2982, 47, 28197, 11056, 2263, 1398, 67, 10972, 1060, 5286, 1063, 64, 6767, 4071, 675, 6843, 1193, 2139, 17600, 5398, 1195, 1026, 1853, 1049, 1784, 1054, 9899, 1605, 21988, 7260, 10212, 8291, 17600, 5398, 8413, 21787, 1049, 5333, 1009, 4148, 6304, 1060, 30602, 11084, 1009, 3246, 3068, 14790, 6909, 1048, 1160, 3684, 2908, 1648, 1663, 1026, 2011, 1048, 6479, 6537, 11661, 7517, 1089, 2092, 2743, 1054, 3049, 1009, 7218, 20973, 29055, 1309, 1857, 17692, 1043, 2880, 5437, 9169, 2654, 1160, 7482, 1009, 3659, 1657, 17206, 1054, 1094, 6950, 2469, 1309, 1009, 1663, 14970, 5819, 1057, 1321, 2777, 2160, 18, 27742, 5392, 1406, 1973, 1264, 1233, 4132, 4971, 13864, 1, 6908, 1139, 0, 89, 3775, 15617, 8381, 1006, 2323, 3987, 15381, 8584, 1175, 8384, 26049, 13624, 121, 15516, 2834, 1242, 121, 41, 1436, 121, 41, 75, 1139, 0, 89, 3775, 15617, 8381, 1006, 2323, 3987, 15381, 8584, 1797, 75, 1139, 1049, 2293, 83, 1930, 1992, 1159, 1132, 23180, 2177, 15617, 2139, 13984, 1759, 168, 26049, 2595, 1009, 3042, 1009, 3209, 4, 41, 1436, 5640, 6908, 1139, 3490, 4054, 1027, 22706, 4408, 11263, 1576, 71, 1814, 1973, 1048, 1026, 12409, 1303, 2177, 22836, 2252, 1124, 2799, 2370, 2132, 2032, 1068, 1048, 1026, 14810, 4172, 6811, 1026, 2788, 1005, 5379, 2688, 1132, 2250, 1005, 13682, 1048, 1826, 5262, 1068, 13354, 1026, 1235, 5883, 20, 20577, 6048, 1187, 6908, 1139, 3490, 15829, 1009, 2750, 1006, 2799, 2528, 1043, 7333, 1009, 5883, 8421, 23697, 1138, 2293, 4013, 18261, 1005, 1026, 5683, 1609, 11370, 7341, 18261, 1271, 1779, 78, 1726, 1578, 2975, 1005, 1026, 1060, 23117, 5954, 7334, 1049, 4365, 1291, 1005, 18261, 21456, 15239, 1271, 1779, 78, 1726, 24886, 3812, 19286, 12409, 1069, 12409, 1303, 5883, 23331, 9650, 4517, 12523, 10049, 1923, 1047, 1303, 7166, 18910, 9707, 15617, 2139, 15617, 17572, 1, 4717, 85, 46, 1152, 13498, 1112, 1068, 1026, 1235, 9891, 1467, 4822, 1034, 1783, 3711, 13967, 1072, 1235, 6262, 1005, 2395, 1091, 1569, 6433, 2555, 1769, 1048, 1299, 3135, 1068, 1569, 18879, 23532, 2344, 2024, 1005, 1460, 6885, 1569, 13468, 1072, 9891, 26582, 1009, 19532, 5232, 1049, 1235, 6687, 6762, 1009, 1571, 1184, 1299, 9578, 1349, 1299, 1318, 1298, 12409, 1024, 1124, 13468, 1005, 19351, 1026, 1235, 2011, 5735, 2970, 1294, 1809, 23520, 16, 25238, 1068, 7685, 1009, 9891, 1043, 1184, 1009, 1782, 1910, 13220, 1797, 2520, 1337, 12782, 1783, 7284, 3021, 1729, 1013, 1456, 3770, 1072, 9891, 2324, 9997, 3159, 3629, 1299, 1006, 10596, 1235, 9891, 2328, 1009, 6306, 1009, 7925, 3666, 7303, 3812, 2315, 1006, 1853, 27165, 1009, 9891, 2555, 1769, 1048, 1299, 3135, 1068, 5275, 1456, 3770, 8018, 76, 1706, 1013, 1159, 21653, 1005, 3028, 5732, 10500, 1945, 1009, 2289, 2875, 9886, 3919, 20764, 1118, 4796, 4279, 1048, 1299, 1788, 1007, 1420, 8863, 1043, 1026, 2999, 28366, 8120, 1206, 5300, 3021, 10781, 24001, 1005, 9658, 18, 1068, 6931, 1783, 7284, 1048, 4444, 16182, 1005, 1043, 4957, 1068, 4054, 1299, 1318, 1704, 2380, 1096, 2220, 27676, 1068, 1048, 1299, 28591, 71, 1060, 1853, 9546, 2481, 1009, 6187, 1043, 3227, 10058, 1068, 1224, 2612, 22311, 1162, 1694, 1456, 3344, 5257, 89, 1006, 2323, 1049, 6687, 1005, 13970, 1208, 1557, 1068, 1026, 1048, 1184, 1966, 1605, 9891, 1096, 1094, 4668, 2460, 7869, 1009, 1083, 19842, 1009, 5015, 20, 19163, 1060, 3028, 8790, 1126, 1299, 4291, 3919, 83, 1754, 1060, 1853, 2596, 20, 10253, 3046, 1009, 1299, 1178, 1044, 5038, 1100, 1044, 6262, 1206, 1044, 6438, 79, 3858, 2930, 4758, 10239, 1069, 18450, 1224, 2612, 1009, 9891, 1006, 6931, 1026, 3867, 3319, 3590, 1392, 1005, 2266, 1068, 1299, 19844, 1493, 1680, 1072, 9891, 3008, 1105, 1508, 1124, 9605, 1068, 1124, 9312, 1184, 2229, 1916, 1134, 2059, 1006, 6411, 1068, 4408, 1024, 2252, 1124, 1569, 9312, 2328, 1049, 2930, 5875, 18, 1356, 25902, 1206, 22093, 1072, 5646, 4331, 8333, 7, 1138, 4717, 85, 46, 5325, 8934, 4889, 1005, 1592, 1511, 1299, 5037, 1043, 1026, 6687, 16121, 1069, 1264, 3738, 7195, 11039, 14005, 1124, 8823, 1048, 1299, 5149, 1704, 4717, 85, 46, 1160, 1096, 1044, 2380, 1009, 5554, 1009, 13220, 6762, 5179, 1508, 1048, 1299, 12457, 4360, 13220, 1565, 1424, 1026, 4717, 85, 46, 1299, 1058, 4279, 1178, 9876, 1005, 3201, 1118, 22332, 1009, 2303, 1043, 1456, 9200, 1005, 1048, 1299, 1592, 5149, 150, 1114, 27165, 1704, 2380, 1009, 3603, 1049, 4717, 85, 46, 1096, 5560, 6957, 3723, 1005, 2289, 5325, 1072, 2803, 1048, 1299, 5807, 6631, 1224, 28292, 2605, 2535, 1299, 1160, 3241, 7510, 1009, 6939, 1318, 4291, 4571, 1930, 3283, 4659, 1054, 4280, 15382, 1048, 1109, 16671, 10514, 1043, 1044, 2568, 1009, 6222, 13501, 1704, 4717, 85, 46, 1096, 7079, 23126, 2315, 4209, 1043, 7685, 1048, 4311, 1046, 1184, 1009, 1487, 2621, 13220, 1118, 12686, 1309, 2289, 2155, 13886, 1060, 8692 ]

[ 3616, 1054, 2666, 1962, 1178, 1657, 1184, 1044, 2666, 1715, 8384, 1962, 13718, 1715, 1496, 26483, 26483, 10346, 71, 1420, 3152, 13426, 1, 2478, 22466, 31139, 1175, 1028, 1507, 4962, 5932, 1131, 2044, 1523, 2592, 1467, 13561, 3083, 3071, 21892, 10473, 1163, 2805, 46, 2053, 1106, 4503, 9284, 2321, 18656, 46, 1067, 3640, 11365, 11434, 3083, 19295, 1175, 13838, 1383, 6713, 23538, 1253, 2186, 26112, 1409, 2952, 18348, 4566, 1211, 1021, 1248, 1467, 5676, 18, 1006, 8230, 6272, 1842, 19, 4602, 1929, 2238, 2159, 2186, 1144, 1577, 94, 3812, 1208, 1144, 1577, 62, 2330, 1297, 1660, 11529, 1409, 20047, 1175, 12521, 1038, 21028, 5228, 12563, 83, 1248, 3969, 1078, 2488, 1759, 1259, 1878, 1010, 1049, 30916, 1101, 20018, 1589, 1009, 5496, 18813, 28541, 89, 1005, 18813, 1033, 3626, 15620, 4921, 2512, 1318, 1096, 1048, 1264, 1058, 14881, 1752, 18204, 2071, 1044, 3159, 1009, 1448, 6351, 25681, 1298, 15567, 1807, 1751, 1049, 4461, 14062, 1043, 16525, 10537, 1066, 3926, 1114, 4375, 1054, 1048, 1298, 1178, 6248, 1188, 1006, 2323, 1060, 4734, 1072, 1901, 14353, 7043, 1632, 14642, 1096, 1005, 1922, 85, 30916, 4288, 3977, 1048, 4279, 2800, 11062, 30916, 1054, 3453, 11016, 20, 3713, 2155, 3659, 1006, 3291, 1322, 1616, 1054, 1044, 8122, 1667, 2034, 1783, 1043, 7685, 4206, 91, 10250, 1318, 1693, 7386, 10400, 1177, 1049, 4465, 1049, 2161, 1009, 1968, 29324, 1097, 18699, 1099, 95, 1054, 4384, 7, 2013, 18666, 2307, 1048, 1325, 1006, 12939, 1566, 4929, 5159, 1157, 13675, 1094, 3593, 7747, 1009, 1429, 29345, 1345, 31091, 2073, 9740, 1009, 5353, 2730, 31957, 20, 1063, 2729, 19394, 1309, 1160, 6931, 3819, 11911, 1533, 20720, 1357, 30090, 1026, 1712, 1613, 1009, 14903, 1138, 1048, 1026, 1968, 95, 8170, 5594, 9836, 1096, 1068, 1026, 5421, 4559, 1009, 14288, 1096, 1026, 4208, 1193, 1035, 5378, 1068, 1026, 11680, 1009, 3540, 1005, 3918, 32, 1006, 26812, 1009, 3583, 6400, 9561, 2858, 14566, 1998, 1096, 18623, 1986, 11577, 1058, 5037, 26678, 1118, 1008, 1771, 1074, 19945, 37, 1138, 10168, 1133, 4292, 1058, 1124, 11253, 1009, 7064, 19288, 1312, 1060, 1751, 1187, 15441, 1009, 9774, 1159, 1006, 3780, 7734, 20, 1424, 1026, 5549, 16960, 8170, 5931, 2918, 18, 1299, 3135, 1009, 1334, 1698, 9996, 1054, 1224, 23819, 1026, 6573, 1072, 23741, 1968, 95, 8170, 1325, 1318, 11419, 1006, 1044, 4461, 3011, 1599, 2247, 1049, 2987, 13806, 1009, 7325, 6785, 27139, 7, 26593, 1616, 1043, 1094, 5732, 1009, 5554, 1005, 5641, 1009, 17998, 1097, 18699, 1099, 95, 1048, 3012, 1178, 7982, 1495, 1026, 1852, 1009, 19742, 3204, 1096, 1318, 1044, 1187, 4181, 4267, 1009, 10197, 1048, 3586, 5262, 9493, 2615, 1089, 1058, 5639, 2257, 5447, 29836, 1009, 5758, 1006, 3450, 1009, 4592, 8508, 1505, 3005, 1058, 10218, 1800, 1294, 4029, 3491, 3368, 1006, 3028, 3621, 1009, 20148, 5922, 1976, 2593, 3587, 3068, 1895, 86, 7043, 4983, 1179, 1024, 1072, 2658, 1009, 2922, 1213, 10858, 11666, 32, 22488, 1046, 5742, 8073, 1318, 1058, 4768, 1726, 6316, 14495, 1009, 9526, 3453, 9672, 1114, 6211, 20, 1063, 10994, 1060, 16208, 6071, 1006, 4380, 12638, 1159, 10773, 1024, 1026, 11911, 1060, 1579, 2176, 1043, 17998, 1097, 1189, 15987, 2381, 1508, 1048, 1668, 1096, 1044, 3311, 1009, 1869, 2163, 1027, 1068, 1026, 3182, 13587, 77, 2761, 3617, 7216, 1826, 1124, 25956, 1571, 1299, 1298, 2071, 19445, 54, 3424, 1972, 16891, 15507, 10021, 5325, 1026, 15338, 17514, 11219, 1066, 3926, 1063, 18897, 89, 1538, 7217, 2739, 8582, 1068, 1006, 4173, 1009, 3606, 6686, 9169, 9805, 5156, 1068, 19291, 72, 4199, 1184, 4781, 1016, 1195, 8220, 11698, 1014, 18813, 1118, 11611, 11201, 20, 9641, 3901, 1048, 1132, 28256, 1009, 2612, 1693, 1261, 3177, 1006, 3629, 4987, 1511, 18785, 1096, 4417, 8290, 1765, 22364, 1043, 2068, 13651, 1858, 4578, 11219, 1066, 2914, 2127, 2745, 7464, 1009, 13467, 1006, 18813, 1043, 1026, 17077, 2966, 1063, 17460, 1776, 2738, 1009, 12535, 1005, 4948, 10376, 79, 2177, 1044, 16802, 1471, 1068, 1132, 13935, 1048, 1998, 6510, 1009, 2637, 4445, 1068, 12866, 1026, 3453, 1213, 5211, 20, 1063, 14099, 1566, 18168, 1048, 1026, 4168, 1976, 1178, 3711, 30252, 1603, 1299, 9578, 5184, 1006, 6714, 18, 1294, 2250, 1060, 5353, 2369, 3567, 31616, 29885, 3789, 84, 29626, 25174, 148, 75, 18054, 1006, 8083, 1049, 7111, 1922, 1015, 1195, 9803, 1006, 6228, 8739, 1104, 2100, 1776, 11257, 30916, 1005, 26660, 26587, 32, 1503, 13122, 1493, 1048, 3825, 1159, 1132, 2138, 2365, 1693, 1005, 3634, 12866, 1371, 1068, 1094, 10584, 18733, 1264, 17212, 1224, 18813, 2088, 4686, 1846, 2444, 1124, 8238, 5195, 4146, 1009, 19820, 1009, 1224, 15224, 18813, 5436, 2612, 4889, 1114, 1428, 1299, 8491, 1569, 11219, 1066, 2914, 1349, 27832, 2445, 1005, 31844, 2328, 1060, 6211, 20, 11026, 4803, 2997, 1094, 19884, 1184, 1009, 4236, 1114, 8172, 1060, 11219, 1066, 3926, 2246, 4929, 2307, 1068, 6679, 1006, 2252, 4088, 1533, 16327, 2918, 1096, 1044, 1187, 30582, 1043, 1026, 1712, 7423, 1009, 6714, 1005, 4351, 1679, 1456, 4209, 1006, 6714, 1043, 22132, 17530, 1163, 18849, 3453, 4889, 30916, 1846, 1048, 1299, 1298, 5184, 1006, 5587, 3453, 7573, 7, 3782, 6293, 1006, 5732, 1009, 6714, 4445, 1009, 2071, 20, 15814, 21538, 32, 1043, 3179, 3819, 18362, 1299, 1298, 13739, 1184, 6518, 1049, 1048, 1043, 11219, 86, 1330, 1377, 3713, 1160, 2155, 2808, 1044, 7176, 1009, 7658, 10548, 3057, 7658, 18, 2276, 1668, 1096, 1657, 1044, 2574, 1009, 18072, 6713, 1979, 5613, 16025, 3732, 1005, 1006, 3513, 1009, 7925, 6272, 1327, 3056, 10405, 20, 1063, 9394, 1009, 14173, 12045, 2725, 12546, 1036, 18464, 7265, 4456, 16391, 21504, 2020, 2144, 1095, 30916, 11973, 30916, 30782, 1068, 6746, 1124, 7943, 12515, 1009, 31444, 16014, 12723, 1206, 1026, 7079, 1009, 4637, 7895, 1128, 2576, 1124, 8406, 11465, 1005, 7914, 1026, 1235, 3653, 2784, 10510, 1005, 6714, 1160, 1755, 1187, 10291, 13033, 13724, 1102, 1049, 3099, 7812, 5953, 3423, 1187, 6641, 3732, 13018, 3098, 17048, 4266, 18813, 1504, 1141, 1358, 20348, 1098, 10168, 12546, 26182, 9340, 1048, 1006, 19410, 2199, 1324, 1044, 22232, 1009, 18813, 13001, 1009, 27363, 1159, 16619, 1009, 1006, 9206, 7297, 5573, 1048, 1132, 7072, 1160, 1327, 7742, 1054, 8344, 1005, 1327, 27328, 1068, 20559, 1603, 2808, 1094, 6866, 1072, 1235, 6455, 18, 2143, 12306, 1234, 81, 1071, 3096, 24598, 6655, 15, 1060, 18813, 1195, 3937, 23697, 25942, 1024, 3453, 1043, 1006, 2232, 13945, 2583, 1060, 30916, 1968, 95, 8170, 1109, 10132, 24081, 29211, 11145, 32, 1495, 8318, 1106, 22394, 1138, 17820, 11566, 6797, 2123, 1267, 1409, 18813, 27357, 8725, 75, 15660, 4041, 1132, 18044, 1060, 5641, 1206, 1060, 7160, 3634, 1178, 2683, 1166, 1159, 26367, 1009, 6444, 7958, 37, 12010, 30582, 8932, 2644, 7889, 1569, 3229, 1009, 6714, 20, 2800, 1663, 3453, 2631, 4960, 2950, 3453, 1132, 3477, 1398, 1219, 3711, 2643, 20, 1063, 3364, 1271, 25956, 1009, 10584, 17998, 1097, 18699, 1099, 95, 1826, 2301, 1132, 10336, 1380, 12028, 1068, 3524, 1456, 1858, 1009, 4410, 20, 1119, 16212, 1187, 3251, 1646, 1495, 1844, 1009, 3042, 1009, 3209, 3590, 1279, 1545, 1072, 6211, 12497, 2448, 2742, 4308, 1049, 20938, 31144, 2078, 4762, 12615, 1005, 9212, 1782, 1646, 1068, 6423, 1006, 17105, 1956, 1367, 1051, 7, 14218, 1968, 29324, 1097, 18699, 1099, 2401, 8124, 5241, 1119, 2690, 18, 1096, 1009, 5472, 1024, 1006, 6973, 1049, 2671, 6007, 1054, 2357, 1005, 1132, 4181, 10328, 2307, 9509, 1054, 4788, 20, 1900, 2934, 1043, 1026, 22808, 2666, 6985, 8099, 2652, 7091, 8532, 6985, 22466, 22808, 1086, 20219, 11693, 10539, 1009, 6714, 18813, 10067, 1006, 5579, 1009, 1009, 1334, 1698, 3453, 5232, 1114, 2612, 28921, 1049, 19055, 1206, 23780, 1063, 2323, 1009, 8318, 1327, 14182, 1072, 15314, 4583, 1049, 7457, 6633, 9476, 5521, 3241, 1054, 5131, 1048, 1299, 2177, 2736, 1905, 3519, 3413, 8238, 1009, 23780, 7766, 2364, 1998, 4292, 1006, 5579, 1009, 4883, 18813, 2290, 19445, 54, 1029, 2328, 1009, 1044, 21826, 37, 2034, 11219, 1066, 2914, 12267, 1124, 12465, 1722, 1097, 18699, 1099, 2401, 1159, 1044, 2220, 3498, 1627, 1132, 12245, 3634, 14632, 1048, 1132, 24983, 1327, 4215, 1044, 1080, 1827, 3933, 1159, 1006, 18813, 1533, 17186, 1060, 21346, 1034, 18813, 10863, 1048, 1026, 10133, 1325, 1058, 21565, 1068, 1094, 2518, 1377, 11063, 7458, 1159, 6119, 12464, 2343, 1021, 23583, 1160, 2643, 5680, 15943, 1063, 2042, 1009, 1968, 95, 8170, 1160, 1325, 4661, 1175, 1298, 2593, 1657, 12012, 20, 1063, 29670, 4878, 1096, 1094, 1141, 23531, 11755, 1009, 31139, 1048, 20998, 1006, 29793, 5641, 1005, 7160, 1009, 31139, 1159, 1026, 11219, 1066, 3926, 10168, 12546, 1036, 1005, 2739, 23757, 1063, 1779, 5395, 25698, 2687, 10792, 5631, 1184, 1009, 12722, 2833, 9680, 1687, 1096, 7353, 1140, 1114, 2612, 1049, 19055, 20, 10497, 13177, 5652, 1333, 2472, 83, 1044, 3066, 1009, 13463, 13251, 1043, 5351, 18110, 1009, 13463, 20, 15278, 1907, 1072, 4409, 1060, 18813, 1704, 2930, 9937, 1096, 3647, 8396, 6774, 1166, 1187, 2797, 1066, 2914, 1005, 16976, 1263, 8396, 1114, 11219, 1066, 8376, 1603, 1299, 1325, 14208, 3057, 12786, 32, 1299, 1298, 2808, 1094, 4123, 2357, 1271, 3114, 17998, 1097, 18699, 1659, 1184, 8124, 1118, 6043, 2983, 1009, 3099, 1071, 12651, 3225, 29841, 1271, 14288, 1054, 12640, 15, 7, 28665, 1371, 1048, 5494, 25003, 1160, 1475, 5984, 2246, 1006, 1184, 6907, 4639, 8666, 11277, 6255, 3606, 1068, 12245, 22094, 1043, 1044, 9112, 4674, 1006, 23326, 4576, 1026, 6545, 1096, 9479, 4445, 1005, 1298, 1178, 4949, 1054, 6734, 18723, 1554, 1603, 1124, 11219, 1066, 2914, 11452, 9270, 1580, 1005, 23880, 6835, 3830, 1890, 1044, 3041, 1009, 1557, 1184, 1920, 6505, 1026, 1048, 6293, 4417, 1053, 18617, 1519, 21807, 1044, 1807, 2285, 1009, 16525, 18566, 9750, 1096, 12145, 1026, 5496, 1009, 1044, 2161, 7112, 2006, 20, 2800, 4883, 1005, 9501, 18813, 12698, 18813, 2800, 1096, 1044, 3099, 1048, 5325, 1890, 2978, 9566, 1026, 4410, 1049, 18813, 1005, 2089, 31139, 1132, 73, 2787, 23982, 1063, 14074, 5395, 1096, 1006, 5548, 5092, 1072, 10123, 1009, 20148, 1171, 1728, 2800, 1096, 1044, 3099, 1048, 5325, 1890, 2978, 9566, 1026, 4410, 1049, 18813, 1005, 2089, 31139, 1132, 73, 2787, 23982, 4685, 18131, 1734, 3195, 1048, 9301, 4433, 1043, 1006, 2921, 4137, 20, 1138, 1086, 14792, 1976, 2276, 1178, 4310, 1009, 15521, 2252, 1124, 1569, 9760, 2408, 1170, 1009, 1614, 1040, 3320, 1972, 3005, 18282, 1206, 18981, 1299, 12598, 26885, 1411, 1026, 1048, 1096, 1050, 3912, 25937, 1068, 25837, 10806, 85, 2729, 1187, 4679, 2864, 1693, 1178, 4359, 1580, 1118, 3805, 1916, 1138, 1853, 4288, 1322, 20148, 1171, 1728, 4333, 1665, 1049, 22808, 4288, 32, 5311, 11411, 1006, 5587, 3453, 2220, 1531, 1043, 18813, 1005, 12465, 1722, 5476, 9939, 1592, 1048, 1299, 2493, 4559, 1049, 22530, 11411, 20, 1138, 1853, 4288, 1043, 1026, 1712, 7534, 1322, 8235, 1043, 31139, 1049, 1561, 1114, 6227, 7714, 20, 1138, 1712, 31409, 1291, 1072, 3099, 1009, 20148, 1171, 1728, 8144, 16892, 1046, 5639, 1159, 1044, 6550, 1009, 1044, 3099, 1009, 1128, 11978, 37, 3126, 15435, 18813, 2152, 1031, 1767, 5260, 81, 82, 13359, 1026, 2161, 2733, 1187, 1791, 13806, 1318, 1298, 1178, 19133, 5301, 10171, 1005, 1846, 1989, 5399, 1298, 4145, 3433, 1213, 1235, 5399, 4355, 82, 2690, 5106, 1009, 11911, 1054, 30916, 5405, 1049, 3099, 30916, 1940, 1017, 1026, 11919, 1274, 1400, 1058, 75, 1842, 1021, 1207, 2634, 1277, 11293, 2325, 3021, 30724, 5554, 1005, 5641, 30916, 6174, 1006, 2123, 7486, 1317, 2902, 1860, 2867, 1929, 2238, 30970, 4046, 1189, 1253, 1287, 8871, 1400, 1026, 1189, 8044, 1093, 1504, 15757, 1253, 13211, 1363, 1286, 1491, 1018, 3286, 22052, 31452, 1009, 24801, 18, 30970, 4046, 1189, 4566, 2159, 1928, 1612, 10011, 1409, 4260, 1109, 11417, 1916, 1551, 86, 15910, 2457, 1123, 4273, 6767, 11443, 18164, 1292, 2123, 1309, 1295, 1614, 1192, 6694, 10011, 2123, 1536, 1093, 3581, 1820, 2890, 16577, 3073, 1222, 1175, 1119, 1732, 1560, 158, 2725, 11443, 18164, 17588, 1198, 21459, 1175, 18377, 1899, 1434, 1009, 1028, 1577, 2655, 90, 7884, 1782, 94, 11092, 1818, 1418, 1013, 1233, 4062, 1536, 1093, 1496, 6076, 1028, 5760, 15004, 158, 1051, 1692, 1134, 44, 54, 25, 1175, 3882, 1065, 14224, 2556, 1100, 1050, 2570, 1100, 1023, 1189, 1117, 1233, 1008, 10838, 18, 6645, 158, 1233, 1030, 9329, 6821, 1030, 95, 5312, 1009, 1384, 1295, 3482, 1259, 1878, 1010, 1049, 18813, 19792, 5827, 1175, 5171, 18119, 95, 19385, 11011, 1459, 11957, 1699, 32, 1670, 93, 1210, 4527, 95, 1409, 1968, 95, 8170, 19, 1107, 3084, 1248, 1504, 29374, 1253, 2186, 1028, 4315, 5353, 8532, 10168, 12546, 1036, 4015, 9380, 15031, 7619, 1672, 1072, 2268, 1299, 1298, 5379, 1456, 1858, 20423, 16989, 1006, 1612, 71, 15224, 11937, 7049, 20190, 1530, 1009, 6778, 3343, 1049, 4288, 1009, 6399, 3669, 1108, 2725, 12546, 1036, 1516, 1503, 1054, 2497 ]

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

[ 3616, 1054, 2666, 1962, 1178, 1657, 1184, 1044, 2666, 1715, 8384, 1962, 13718, 1715, 1496, 26483, 26483, 10346, 71, 1420, 3152, 13426, 1, 2478, 22466, 31139, 1175, 1028, 1507, 4962, 5932, 1131, 2044, 1523, 2592, 1467, 13561, 3083, 3071, 21892, 10473, 1163, 2805, 46, 2053, 1106, 4503, 9284, 2321, 18656, 46, 1067, 3640, 11365, 11434, 3083, 19295, 1175, 13838, 1383, 6713, 23538, 1253, 2186, 26112, 1409, 2952, 18348, 4566, 1211, 1021, 1248, 1467, 5676, 18, 1006, 8230, 6272, 1842, 19, 4602, 1929, 2238, 2159, 2186, 1144, 1577, 94, 3812, 1208, 1144, 1577, 62, 2330, 1297, 1660, 11529, 1409, 20047, 1175, 12521, 1038, 21028, 5228, 12563, 83, 1248, 3969, 1078, 2488, 1759, 1259, 1878, 1010, 1049, 30916, 1101, 20018, 1589, 1009, 5496, 18813, 28541, 89, 1005, 18813, 1033, 3626, 15620, 4921, 2512, 1318, 1096, 1048, 1264, 1058, 14881, 1752, 18204, 2071, 1044, 3159, 1009, 1448, 6351, 25681, 1298, 15567, 1807, 1751, 1049, 4461, 14062, 1043, 16525, 10537, 1066, 3926, 1114, 4375, 1054, 1048, 1298, 1178, 6248, 1188, 1006, 2323, 1060, 4734, 1072, 1901, 14353, 7043, 1632, 14642, 1096, 1005, 1922, 85, 30916, 4288, 3977, 1048, 4279, 2800, 11062, 30916, 1054, 3453, 11016, 20, 3713, 2155, 3659, 1006, 3291, 1322, 1616, 1054, 1044, 8122, 1667, 2034, 1783, 1043, 7685, 4206, 91, 10250, 1318, 1693, 7386, 10400, 1177, 1049, 4465, 1049, 2161, 1009, 1968, 29324, 1097, 18699, 1099, 95, 1054, 4384, 7, 2013, 18666, 2307, 1048, 1325, 1006, 12939, 1566, 4929, 5159, 1157, 13675, 1094, 3593, 7747, 1009, 1429, 29345, 1345, 31091, 2073, 9740, 1009, 5353, 2730, 31957, 20, 1063, 2729, 19394, 1309, 1160, 6931, 3819, 11911, 1533, 20720, 1357, 30090, 1026, 1712, 1613, 1009, 14903, 1138, 1048, 1026, 1968, 95, 8170, 5594, 9836, 1096, 1068, 1026, 5421, 4559, 1009, 14288, 1096, 1026, 4208, 1193, 1035, 5378, 1068, 1026, 11680, 1009, 3540, 1005, 3918, 32, 1006, 26812, 1009, 3583, 6400, 9561, 2858, 14566, 1998, 1096, 18623, 1986, 11577, 1058, 5037, 26678, 1118, 1008, 1771, 1074, 19945, 37, 1138, 10168, 1133, 4292, 1058, 1124, 11253, 1009, 7064, 19288, 1312, 1060, 1751, 1187, 15441, 1009, 9774, 1159, 1006, 3780, 7734, 20, 1424, 1026, 5549, 16960, 8170, 5931, 2918, 18, 1299, 3135, 1009, 1334, 1698, 9996, 1054, 1224, 23819, 1026, 6573, 1072, 23741, 1968, 95, 8170, 1325, 1318, 11419, 1006, 1044, 4461, 3011, 1599, 2247, 1049, 2987, 13806, 1009, 7325, 6785, 27139, 7, 26593, 1616, 1043, 1094, 5732, 1009, 5554, 1005, 5641, 1009, 17998, 1097, 18699, 1099, 95, 1048, 3012, 1178, 7982, 1495, 1026, 1852, 1009, 19742, 3204, 1096, 1318, 1044, 1187, 4181, 4267, 1009, 10197, 1048, 3586, 5262, 9493, 2615, 1089, 1058, 5639, 2257, 5447, 29836, 1009, 5758, 1006, 3450, 1009, 4592, 8508, 1505, 3005, 1058, 10218, 1800, 1294, 4029, 3491, 3368, 1006, 3028, 3621, 1009, 20148, 5922, 1976, 2593, 3587, 3068, 1895, 86, 7043, 4983, 1179, 1024, 1072, 2658, 1009, 2922, 1213, 10858, 11666, 32, 22488, 1046, 5742, 8073, 1318, 1058, 4768, 1726, 6316, 14495, 1009, 9526, 3453, 9672, 1114, 6211, 20, 1063, 10994, 1060, 16208, 6071, 1006, 4380, 12638, 1159, 10773, 1024, 1026, 11911, 1060, 1579, 2176, 1043, 17998, 1097, 1189, 15987, 2381, 1508, 1048, 1668, 1096, 1044, 3311, 1009, 1869, 2163, 1027, 1068, 1026, 3182, 13587, 77, 2761, 3617, 7216, 1826, 1124, 25956, 1571, 1299, 1298, 2071, 19445, 54, 3424, 1972, 16891, 15507, 10021, 5325, 1026, 15338, 17514, 11219, 1066, 3926, 1063, 18897, 89, 1538, 7217, 2739, 8582, 1068, 1006, 4173, 1009, 3606, 6686, 9169, 9805, 5156, 1068, 19291, 72, 4199, 1184, 4781, 1016, 1195, 8220, 11698, 1014, 18813, 1118, 11611, 11201, 20, 9641, 3901, 1048, 1132, 28256, 1009, 2612, 1693, 1261, 3177, 1006, 3629, 4987, 1511, 18785, 1096, 4417, 8290, 1765, 22364, 1043, 2068, 13651, 1858, 4578, 11219, 1066, 2914, 2127, 2745, 7464, 1009, 13467, 1006, 18813, 1043, 1026, 17077, 2966, 1063, 17460, 1776, 2738, 1009, 12535, 1005, 4948, 10376, 79, 2177, 1044, 16802, 1471, 1068, 1132, 13935, 1048, 1998, 6510, 1009, 2637, 4445, 1068, 12866, 1026, 3453, 1213, 5211, 20, 1063, 14099, 1566, 18168, 1048, 1026, 4168, 1976, 1178, 3711, 30252, 1603, 1299, 9578, 5184, 1006, 6714, 18, 1294, 2250, 1060, 5353, 2369, 3567, 31616, 29885, 3789, 84, 29626, 25174, 148, 75, 18054, 1006, 8083, 1049, 7111, 1922, 1015, 1195, 9803, 1006, 6228, 8739, 1104, 2100, 1776, 11257, 30916, 1005, 26660, 26587, 32, 1503, 13122, 1493, 1048, 3825, 1159, 1132, 2138, 2365, 1693, 1005, 3634, 12866, 1371, 1068, 1094, 10584, 18733, 1264, 17212, 1224, 18813, 2088, 4686, 1846, 2444, 1124, 8238, 5195, 4146, 1009, 19820, 1009, 1224, 15224, 18813, 5436, 2612, 4889, 1114, 1428, 1299, 8491, 1569, 11219, 1066, 2914, 1349, 27832, 2445, 1005, 31844, 2328, 1060, 6211, 20, 11026, 4803, 2997, 1094, 19884, 1184, 1009, 4236, 1114, 8172, 1060, 11219, 1066, 3926, 2246, 4929, 2307, 1068, 6679, 1006, 2252, 4088, 1533, 16327, 2918, 1096, 1044, 1187, 30582, 1043, 1026, 1712, 7423, 1009, 6714, 1005, 4351, 1679, 1456, 4209, 1006, 6714, 1043, 22132, 17530, 1163, 18849, 3453, 4889, 30916, 1846, 1048, 1299, 1298, 5184, 1006, 5587, 3453, 7573, 7, 3782, 6293, 1006, 5732, 1009, 6714, 4445, 1009, 2071, 20, 15814, 21538, 32, 1043, 3179, 3819, 18362, 1299, 1298, 13739, 1184, 6518, 1049, 1048, 1043, 11219, 86, 1330, 1377, 3713, 1160, 2155, 2808, 1044, 7176, 1009, 7658, 10548, 3057, 7658, 18, 2276, 1668, 1096, 1657, 1044, 2574, 1009, 18072, 6713, 1979, 5613, 16025, 3732, 1005, 1006, 3513, 1009, 7925, 6272, 1327, 3056, 10405, 20, 1063, 9394, 1009, 14173, 12045, 2725, 12546, 1036, 18464, 7265, 4456, 16391, 21504, 2020, 2144, 1095, 30916, 11973, 30916, 30782, 1068, 6746, 1124, 7943, 12515, 1009, 31444, 16014, 12723, 1206, 1026, 7079, 1009, 4637, 7895, 1128, 2576, 1124, 8406, 11465, 1005, 7914, 1026, 1235, 3653, 2784, 10510, 1005, 6714, 1160, 1755, 1187, 10291, 13033, 13724, 1102, 1049, 3099, 7812, 5953, 3423, 1187, 6641, 3732, 13018, 3098, 17048, 4266, 18813, 1504, 1141, 1358, 20348, 1098, 10168, 12546, 26182, 9340, 1048, 1006, 19410, 2199, 1324, 1044, 22232, 1009, 18813, 13001, 1009, 27363, 1159, 16619, 1009, 1006, 9206, 7297, 5573, 1048, 1132, 7072, 1160, 1327, 7742, 1054, 8344, 1005, 1327, 27328, 1068, 20559, 1603, 2808, 1094, 6866, 1072, 1235, 6455, 18, 2143, 12306, 1234, 81, 1071, 3096, 24598, 6655, 15, 1060, 18813, 1195, 3937, 23697, 25942, 1024, 3453, 1043, 1006, 2232, 13945, 2583, 1060, 30916, 1968, 95, 8170, 1109, 10132, 24081, 29211, 11145, 32, 1495, 8318, 1106, 22394, 1138, 17820, 11566, 6797, 2123, 1267, 1409, 18813, 27357, 8725, 75, 15660, 4041, 1132, 18044, 1060, 5641, 1206, 1060, 7160, 3634, 1178, 2683, 1166, 1159, 26367, 1009, 6444, 7958, 37, 12010, 30582, 8932, 2644, 7889, 1569, 3229, 1009, 6714, 20, 2800, 1663, 3453, 2631, 4960, 2950, 3453, 1132, 3477, 1398, 1219, 3711, 2643, 20, 1063, 3364, 1271, 25956, 1009, 10584, 17998, 1097, 18699, 1099, 95, 1826, 2301, 1132, 10336, 1380, 12028, 1068, 3524, 1456, 1858, 1009, 4410, 20, 1119, 16212, 1187, 3251, 1646, 1495, 1844, 1009, 3042, 1009, 3209, 3590, 1279, 1545, 1072, 6211, 12497, 2448, 2742, 4308, 1049, 20938, 31144, 2078, 4762, 12615, 1005, 9212, 1782, 1646, 1068, 6423, 1006, 17105, 1956, 1367, 1051, 7, 14218, 1968, 29324, 1097, 18699, 1099, 2401, 8124, 5241, 1119, 2690, 18, 1096, 1009, 5472, 1024, 1006, 6973, 1049, 2671, 6007, 1054, 2357, 1005, 1132, 4181, 10328, 2307, 9509, 1054, 4788, 20, 1900, 2934, 1043, 1026, 22808, 2666, 6985, 8099, 2652, 7091, 8532, 6985, 22466, 22808, 1086, 20219, 11693, 10539, 1009, 6714, 18813, 10067, 1006, 5579, 1009, 1009, 1334, 1698, 3453, 5232, 1114, 2612, 28921, 1049, 19055, 1206, 23780, 1063, 2323, 1009, 8318, 1327, 14182, 1072, 15314, 4583, 1049, 7457, 6633, 9476, 5521, 3241, 1054, 5131, 1048, 1299, 2177, 2736, 1905, 3519, 3413, 8238, 1009, 23780, 7766, 2364, 1998, 4292, 1006, 5579, 1009, 4883, 18813, 2290, 19445, 54, 1029, 2328, 1009, 1044, 21826, 37, 2034, 11219, 1066, 2914, 12267, 1124, 12465, 1722, 1097, 18699, 1099, 2401, 1159, 1044, 2220, 3498, 1627, 1132, 12245, 3634, 14632, 1048, 1132, 24983, 1327, 4215, 1044, 1080, 1827, 3933, 1159, 1006, 18813, 1533, 17186, 1060, 21346, 1034, 18813, 10863, 1048, 1026, 10133, 1325, 1058, 21565, 1068, 1094, 2518, 1377, 11063, 7458, 1159, 6119, 12464, 2343, 1021, 23583, 1160, 2643, 5680, 15943, 1063, 2042, 1009, 1968, 95, 8170, 1160, 1325, 4661, 1175, 1298, 2593, 1657, 12012, 20, 1063, 29670, 4878, 1096, 1094, 1141, 23531, 11755, 1009, 31139, 1048, 20998, 1006, 29793, 5641, 1005, 7160, 1009, 31139, 1159, 1026, 11219, 1066, 3926, 10168, 12546, 1036, 1005, 2739, 23757, 1063, 1779, 5395, 25698, 2687, 10792, 5631, 1184, 1009, 12722, 2833, 9680, 1687, 1096, 7353, 1140, 1114, 2612, 1049, 19055, 20, 10497, 13177, 5652, 1333, 2472, 83, 1044, 3066, 1009, 13463, 13251, 1043, 5351, 18110, 1009, 13463, 20, 15278, 1907, 1072, 4409, 1060, 18813, 1704, 2930, 9937, 1096, 3647, 8396, 6774, 1166, 1187, 2797, 1066, 2914, 1005, 16976, 1263, 8396, 1114, 11219, 1066, 8376, 1603, 1299, 1325, 14208, 3057, 12786, 32, 1299, 1298, 2808, 1094, 4123, 2357, 1271, 3114, 17998, 1097, 18699, 1659, 1184, 8124, 1118, 6043, 2983, 1009, 3099, 1071, 12651, 3225, 29841, 1271, 14288, 1054, 12640, 15, 7, 28665, 1371, 1048, 5494, 25003, 1160, 1475, 5984, 2246, 1006, 1184, 6907, 4639, 8666, 11277, 6255, 3606, 1068, 12245, 22094, 1043, 1044, 9112, 4674, 1006, 23326, 4576, 1026, 6545, 1096, 9479, 4445, 1005, 1298, 1178, 4949, 1054, 6734, 18723, 1554, 1603, 1124, 11219, 1066, 2914, 11452, 9270, 1580, 1005, 23880, 6835, 3830, 1890, 1044, 3041, 1009, 1557, 1184, 1920, 6505, 1026, 1048, 6293, 4417, 1053, 18617, 1519, 21807, 1044, 1807, 2285, 1009, 16525, 18566, 9750, 1096, 12145, 1026, 5496, 1009, 1044, 2161, 7112, 2006, 20, 2800, 4883, 1005, 9501, 18813, 12698, 18813, 2800, 1096, 1044, 3099, 1048, 5325, 1890, 2978, 9566, 1026, 4410, 1049, 18813, 1005, 2089, 31139, 1132, 73, 2787, 23982, 1063, 14074, 5395, 1096, 1006, 5548, 5092, 1072, 10123, 1009, 20148, 1171, 1728, 2800, 1096, 1044, 3099, 1048, 5325, 1890, 2978, 9566, 1026, 4410, 1049, 18813, 1005, 2089, 31139, 1132, 73, 2787, 23982, 4685, 18131, 1734, 3195, 1048, 9301, 4433, 1043, 1006, 2921, 4137, 20, 1138, 1086, 14792, 1976, 2276, 1178, 4310, 1009, 15521, 2252, 1124, 1569, 9760, 2408, 1170, 1009, 1614, 1040, 3320, 1972, 3005, 18282, 1206, 18981, 1299, 12598, 26885, 1411, 1026, 1048, 1096, 1050, 3912, 25937, 1068, 25837, 10806, 85, 2729, 1187, 4679, 2864, 1693, 1178, 4359, 1580, 1118, 3805, 1916, 1138, 1853, 4288, 1322, 20148, 1171, 1728, 4333, 1665, 1049, 22808, 4288, 32, 5311, 11411, 1006, 5587, 3453, 2220, 1531, 1043, 18813, 1005, 12465, 1722, 5476, 9939, 1592, 1048, 1299, 2493, 4559, 1049, 22530, 11411, 20, 1138, 1853, 4288, 1043, 1026, 1712, 7534, 1322, 8235, 1043, 31139, 1049, 1561, 1114, 6227, 7714, 20, 1138, 1712, 31409, 1291, 1072, 3099, 1009, 20148, 1171, 1728, 8144, 16892, 1046, 5639, 1159, 1044, 6550, 1009, 1044, 3099, 1009, 1128, 11978, 37, 3126, 15435, 18813, 2152, 1031, 1767, 5260, 81, 82, 13359, 1026, 2161, 2733, 1187, 1791, 13806, 1318, 1298, 1178, 19133, 5301, 10171, 1005, 1846, 1989, 5399, 1298, 4145, 3433, 1213, 1235, 5399, 4355, 82, 2690, 5106, 1009, 11911, 1054, 30916, 5405, 1049, 3099, 30916, 1940, 1017, 1026, 11919, 1274, 1400, 1058, 75, 1842, 1021, 1207, 2634, 1277, 11293, 2325, 3021, 30724, 5554, 1005, 5641, 30916, 6174, 1006, 2123, 7486, 1317, 2902, 1860, 2867, 1929, 2238, 30970, 4046, 1189, 1253, 1287, 8871, 1400, 1026, 1189, 8044, 1093, 1504, 15757, 1253, 13211, 1363, 1286, 1491, 1018, 3286, 22052, 31452, 1009, 24801, 18, 30970, 4046, 1189, 4566, 2159, 1928, 1612, 10011, 1409, 4260, 1109, 11417, 1916, 1551, 86, 15910, 2457, 1123, 4273, 6767, 11443, 18164, 1292, 2123, 1309, 1295, 1614, 1192, 6694, 10011, 2123, 1536, 1093, 3581, 1820, 2890, 16577, 3073, 1222, 1175, 1119, 1732, 1560, 158, 2725, 11443, 18164, 17588, 1198, 21459, 1175, 18377, 1899, 1434, 1009, 1028, 1577, 2655, 90, 7884, 1782, 94, 11092, 1818, 1418, 1013, 1233, 4062, 1536, 1093, 1496, 6076, 1028, 5760, 15004, 158, 1051, 1692, 1134, 44, 54, 25, 1175, 3882, 1065, 14224, 2556, 1100, 1050, 2570, 1100, 1023, 1189, 1117, 1233, 1008, 10838, 18, 6645, 158, 1233, 1030, 9329, 6821, 1030, 95, 5312, 1009, 1384, 1295, 3482, 1259, 1878, 1010, 1049, 18813, 19792, 5827, 1175, 5171, 18119, 95, 19385, 11011, 1459, 11957, 1699, 32, 1670, 93, 1210, 4527, 95, 1409, 1968, 95, 8170, 19, 1107, 3084, 1248, 1504, 29374, 1253, 2186, 1028, 4315, 5353, 8532, 10168, 12546, 1036, 4015, 9380, 15031, 7619, 1672, 1072, 2268, 1299, 1298, 5379, 1456, 1858, 20423, 16989, 1006, 1612, 71, 15224, 11937, 7049, 20190, 1530, 1009, 6778, 3343, 1049, 4288, 1009, 6399, 3669, 1108, 2725, 12546, 1036, 1516, 1503, 1054, 2497 ]

[ 2915, 96, 6093, 1054, 4187, 33, 1054, 7624, 1072, 11621, 26531, 1421, 1093, 1617, 89, 626, 1054, 7083, 1005, 2373, 40, 13773, 1061, 1423, 22026, 20186, 4324, 1114, 1641, 1009, 22652, 7429, 1294, 11333, 1571, 30243, 1079, 1005, 2521, 22148, 33, 1054, 7905, 30243, 1079, 1005, 2521, 22148, 1072, 4632, 1009, 11686, 1009, 12014, 1005, 1114, 2828, 8145, 13521, 14681, 8275, 1054, 27506, 95, 33, 1054, 3977, 3765, 22751, 1054, 10108, 13140, 12163, 14277, 17826, 18, 21587, 3926, 22582, 1005, 1072, 4288, 31612, 1625, 2187, 1018, 1138, 1615, 1018, 1198, 2123, 4421, 2491, 21962, 4324, 1114, 8305, 3726, 1479, 2828, 4594, 1009, 2312, 1029, 3789, 1411, 1114, 4573, 33, 1054, 4152, 13890, 1005, 30243, 1079, 1072, 1344, 1326, 1189, 1953, 88, 153, 11116, 11621, 1009, 20991, 1137, 4875, 4949, 1114, 13071, 2286, 8683, 3917, 1005, 4238, 1195, 17870, 2964, 4631, 1009, 2423, 1072, 12629, 9428, 1009, 5027, 1060, 6338, 1009, 2956, 1060, 5027, 1009, 1764, 2434, 10047, 1934, 2274, 1566, 1058, 7217, 1054, 2653, 3825, 1005, 1043, 4306, 26723, 5255, 8348, 32, 1313, 15976, 1570, 12547, 2255, 7839, 12422, 1163, 1876, 1012, 1803, 0, 27811, 26681, 1570, 7068, 24970, 21512, 17595, 16786, 1810, 13558, 77, 11700, 1803, 2494, 1061, 1017, 1683, 1167, 2528, 8026, 4247, 78, 4013, 1803, 1082, 6720, 2915, 3036, 1100, 2079, 1127, 79, 7736, 1803, 2741, 12235, 1353, 1126, 9877, 1734, 21254, 9899, 14930, 1049, 13427, 7411, 1672, 1288, 1006, 1445, 1272, 1009, 7384, 18651, 2334, 1043, 1359, 1010, 22127, 1005, 22720, 4525, 23986, 1026, 1119, 92, 74, 2373, 50, 1021, 2091, 17788, 4324, 1043, 1006, 22747, 1049, 8825, 2769, 1009, 17145, 2595, 3978, 1009, 30463, 2595, 1009, 8258, 1005, 1184, 5251, 1009, 1009, 8750, 20, 8601, 11797, 10083, 1118, 2653, 1646, 1054, 5966, 1043, 26229, 150, 20537, 29204, 1043, 2306, 1318, 3510, 1079, 1030, 19086, 3994, 1043, 1026, 1011, 2057, 1291, 1142, 2304, 15915, 3772, 13750, 1009, 5855, 1006, 4238, 1043, 1026, 2417, 23426, 11288, 2166, 3027, 4949, 11112, 1009, 10645, 1356, 1908, 1005, 2125, 1004, 92, 28791, 2663, 10401, 1049, 3878, 26531, 19319, 1007, 11288, 1140, 1782, 1646, 626, 1005, 26531, 158, 1043, 26202, 626, 1005, 2125, 1011, 28791, 1071, 625, 54, 19319, 1007, 11288, 1140, 1782, 1646, 4324, 26531, 158, 1043, 26202, 626, 1005, 25123, 5725, 2756, 23426, 11288, 1140, 626, 15, 3313, 1193, 1006, 4188, 1009, 4341, 2781, 1053, 8058, 1529, 81, 3926, 1381, 1751, 1009, 2539, 2000, 1554, 4738, 1079, 1114, 22747, 11939, 1009, 21360, 1072, 2417, 3836, 25830, 1126, 1072, 2743, 25123, 7451, 1049, 17058, 1574, 1027, 4324, 5474, 25123, 1226, 2515, 8226, 12711, 71, 1049, 2743, 1387, 4223, 1120, 9186, 1043, 13588, 7178, 1005, 24906, 1022, 22526, 7027, 5680, 4965, 1596, 19073, 1054, 1062, 74, 1678, 9009, 7242, 1438, 1356, 3878, 3836, 25615, 11229, 3836, 1049, 3826, 1005, 11944, 3110, 1270, 1751, 1318, 1049, 2417, 1063, 2529, 16781, 1044, 7228, 1090, 5361, 1043, 1006, 2423, 1060, 2706, 4114, 14762, 3027, 4949, 7242, 1438, 1118, 2220, 1026, 3878, 3836, 14355, 1005, 18104, 6126, 14219, 1646, 16678, 1043, 1006, 26318, 1291, 1207, 1631, 4719, 10715, 1400, 3027, 1043, 1687, 12985, 1791, 1011, 74, 4676, 1134, 29317, 1005, 18786, 31064, 1128, 2607, 1837, 1487, 1646, 1043, 1026, 9171, 1005, 3746, 31664, 17401, 8946, 5160, 3027, 28196, 1187, 1011, 28791, 31612, 1013, 2091, 4324, 0, 2373, 11603, 28830, 626, 1005, 14949, 57, 1052, 1070, 1140, 626, 1658, 20183, 1079, 1006, 7197, 2079, 1127, 79, 7736, 79, 1114, 9345, 1049, 4299, 1106, 9886, 2286, 7240, 2521, 9345, 1114, 6512, 1043, 1026, 26877, 7384, 8527, 1005, 1006, 22747, 14600, 74, 84, 1009, 4111, 96, 1577, 1005, 30979, 1100, 3027, 1159, 1638, 1291, 1026, 9163, 1041, 1291, 10212, 2397, 1609, 10986, 1133, 2339, 16437, 2423, 5092, 5148, 1753, 1079, 7889, 1005, 2521, 1006, 9345, 5092, 1049, 1011, 74, 3285, 1447, 1411, 1060, 7197, 1005, 30272, 6908, 1036, 1930, 0, 12176, 1318, 28196, 1009, 1456, 11451, 1119, 1917, 1328, 1005, 13287, 23847, 4349, 1473, 1079, 1054, 4127, 1044, 3066, 1068, 4843, 1009, 30114, 1072, 8658, 1924, 11469, 15335, 1054, 19731, 1588, 1010, 1072, 5109, 1049, 2956, 1009, 1764, 2434, 21097, 1257, 1156, 1214, 150, 5, 1119, 19513, 1180, 2902, 1010, 1005, 3217, 1161, 5, 2915, 14403, 1067, 1258, 1126, 12593, 14532, 3160, 1421, 2789, 1129, 1573, 1049, 2497, 1009, 1764, 2434, 14423, 1060, 5411, 1009, 30821, 1005, 9522, 1060, 2828, 1009, 1764, 2434, 6577, 1060, 1641, 1009, 1764, 2434, 1, 5189, 4307, 1097, 1032, 3287, 1881, 1104, 1468, 79, 675, 1096, 1094, 3610, 1009, 26596, 1126, 2531, 19449, 24350, 1324, 1048, 4292, 1114, 22456, 2275, 16056, 1009, 8766, 3405, 2230, 5602, 26808, 1085, 6146, 1043, 1703, 8504, 22675, 1599, 15994, 1869, 1362, 2520, 1758, 1080, 11211, 1046, 1049, 1028, 21215, 1049, 1703, 8504, 22207, 1233, 2068, 1060, 10954, 20, 2034, 6831, 2643, 24136, 86, 11388, 1005, 16171, 1862, 2106, 1005, 1028, 1507, 1304, 1114, 1751, 1009, 6529, 1049, 15152, 1631, 20, 21480, 3387, 1233, 30335, 1009, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 1043, 8794, 6962, 1273, 1869, 1362, 2520, 1758, 1049, 1592, 7456, 1271, 4200, 12223, 1005, 1028, 1507, 1304, 9327, 2378, 1838, 1112, 1005, 6191, 675, 1257, 5189, 4307, 1097, 1032, 3287, 1881, 1104, 1468, 79, 7536, 28943, 1577, 93, 3169, 1126, 31611, 1073, 3870, 96, 1283, 9398, 2422, 2339, 1142, 8064, 7293, 2860, 2224, 14, 23, 3692, 1844, 621, 19476, 4585, 4681, 16500, 9224, 2266, 14707, 1357, 7813, 1582, 1060, 7923, 2429, 2748, 7699, 1006, 2323, 1009, 2748, 2341, 4726, 1069, 1006, 2916, 1009, 30098, 4722, 1009, 11332, 18, 1072, 2882, 1108, 2844, 1062, 2363, 1609, 16168, 1054, 7905, 20620, 1009, 8766, 7329, 21791, 2404, 14012, 2636, 11902, 1026, 5189, 4307, 1097, 1032, 3287, 1080, 3180, 1018, 79, 3158, 1119, 1731, 14301, 1371, 1118, 5924, 15152, 1631, 1009, 14637, 1010, 14088, 2565, 1026, 2838, 1166, 1005, 5137, 1093, 1229, 11143, 1009, 2620, 15609, 1072, 14637, 85, 30654, 1005, 1028, 1507, 1304, 23835, 72, 3461, 1005, 1184, 24010, 1072, 1374, 86, 13854, 1063, 1869, 1362, 2520, 1272, 1096, 6151, 1049, 1592, 7456, 1271, 24716, 1728, 1338, 1273, 1009, 5533, 1436, 15338, 1193, 1075, 3273, 14088, 1102, 1005, 1251, 5531, 1312, 3010, 9454, 1006, 1044, 2195, 21821, 1009, 7456, 20, 16056, 1009, 3610, 3822, 4445, 1009, 12975, 1118, 1569, 8794, 20631, 1005, 8183, 11991, 1273, 1026, 2838, 1312, 3818, 19524, 7849, 2961, 4307, 1097, 1032, 3287, 23532, 3362, 12154, 1054, 4238, 1, 7695, 3728, 1205, 1819, 26721, 3201, 1159, 19911, 79, 1205, 1819, 1226, 4045, 28003, 3771, 1009, 3383, 1009, 17838, 1349, 1096, 1044, 5098, 4971, 14093, 3126, 2670, 1049, 675, 6387, 14297, 1105, 1007, 1084, 23480, 11514, 149, 18, 25804, 1054, 14982, 3818, 9079, 675, 9597, 4987, 3133, 3554, 1573, 1187, 3997, 15543, 1060, 6512, 30805, 1573, 1060, 6512, 6577, 1009, 2529, 79, 3576, 1819, 26721, 19911, 79, 30329, 15543, 1060, 6512, 9538, 14864, 14685, 1060, 6365, 1114, 19329, 4509, 45, 8597, 55, 3726, 17, 15, 1, 7139, 40, 20381, 5488, 18, 21230, 1477, 7139, 40, 20381, 11019, 5488, 15, 1195, 1044, 3159, 1009, 6894, 1009, 7847, 1060, 7139, 40, 20381, 21230, 2327, 1123, 4326, 15, 1068, 1006, 3364, 1187, 8255, 7139, 40, 20381, 20, 1138, 3159, 2516, 2898, 1679, 5015, 1049, 7139, 40, 20381, 1043, 1044, 3563, 1068, 16321, 18, 12058, 1005, 8947, 7847, 1009, 3078, 12111, 1138, 3159, 1195, 1213, 1238, 1054, 1083, 1009, 3149, 1009, 16821, 16324, 2125, 3145, 30582, 1009, 2131, 16230, 1225, 1006, 1712, 8596, 1118, 3609, 1009, 3175, 2052, 11587, 3487, 3006, 6991, 1054, 8198, 1043, 2052, 8856, 6507, 3211, 1254, 1005, 1123, 2052, 3130, 2102, 18, 1254, 1357, 11019, 22283, 1060, 8789, 1005, 1026, 5357, 18455, 2196, 10663, 3942, 2738, 1009, 7218, 2182, 1910, 7847, 3586, 5262, 1072, 7139, 40, 20381, 5488, 20, 2858, 1901, 5738, 1006, 5643, 1009, 7847, 7949, 1675, 16112, 9933, 10156, 2078, 3977, 15, 1005, 1044, 3681, 1846, 6617, 1910, 7847, 4015, 75, 3055, 1009, 3977, 1565, 1776, 7139, 40, 20381, 12619, 1054, 3042, 1009, 7057, 1006, 1123, 4326, 6139, 1048, 11019, 5488, 2569, 1184, 1009, 25509, 1910, 1168, 4875, 7432, 2232, 13358, 1054, 4984, 1009, 3049, 1009, 4229, 3818, 2310, 10559, 4080, 1026, 7139, 40, 20381, 11019, 5488, 2995, 22212, 40, 20381, 11019, 5488, 4932, 4431, 2548, 1534, 5111, 27073, 24887, 1, 5189, 4307, 1097, 1032, 3287, 19901, 19465, 6155, 675, 1096, 1094, 3610, 1009, 26596, 1126, 2531, 19449, 24350, 1324, 1048, 4292, 1072, 7069, 8341, 675, 16056, 1009, 8766, 3405, 2230, 5602, 26808, 1085, 6146, 1043, 1703, 8504, 1005, 8794, 2296, 74, 8499, 2106, 15994, 1869, 1362, 2520, 1758, 1080, 11211, 1046, 5232, 1009, 1044, 1028, 21215, 1114, 2068, 1009, 1569, 14510, 6536, 1728, 2034, 6831, 1327, 25407, 3085, 1273, 6069, 1273, 1009, 24136, 86, 11388, 1005, 16171, 1862, 2106, 1005, 1028, 1507, 1304, 1114, 1751, 1009, 6529, 1049, 15152, 1631, 20, 21480, 3387, 1213, 2417, 1009, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 1048, 1160, 2643, 8794, 3048, 1703, 12758, 2551, 1347, 2378, 1838, 1112, 1005, 6191, 675, 1257, 5189, 4307, 1097, 1032, 3287, 19901, 19465, 6155, 4568, 1812, 2459, 18, 1587, 5505, 20, 12074, 20, 2228, 20, 2960, 14311, 12443, 20, 18878, 8956, 18889, 2128, 24, 1967, 2337, 15, 16574, 1009, 22664, 1024, 1021, 1005, 1073, 1606, 1075, 1021, 18543, 1048, 4548, 1657, 2156, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 13989, 1010, 1043, 14510, 8478, 1065, 3273, 1054, 1224, 26738, 2762, 4568, 82, 3418, 1363, 5649, 1048, 2237, 1318, 1225, 1005, 1048, 1318, 3068, 1693, 1371, 27346, 12941, 1124, 1080, 1470, 73, 1133, 1016, 17138, 3150, 1705, 1806, 1048, 1124, 6831, 1327, 6069, 1273, 1225, 16171, 2574, 7314, 1048, 1124, 24136, 15701, 1273, 15152, 1631, 25254, 1193, 1075, 1599, 1043, 14637, 1010, 19728, 31366, 5624, 1229, 6941, 1005, 5137, 1093, 1229, 1005, 30654, 3080, 5408, 1005, 5490, 1136, 33, 1028, 1507, 1304, 11385, 1091, 15702, 18599, 7646, 19, 1781, 1179, 30912, 1860, 1435, 2125, 21487, 1009, 7456, 33, 1005, 9053, 1304, 2620, 19887, 1667, 22979, 1197, 1054, 3149, 19, 1183, 4475, 11230, 8587, 2594, 8357, 1463, 18179, 1049, 5189, 4307, 1097, 1032, 3287, 9022, 2580, 1226, 3818, 19524, 7849, 2961, 4307, 1097, 1032, 3287, 23532, 3362, 12154, 1054, 24359, 1, 14225, 1108, 8532, 16334, 18, 1096, 1094, 8907, 23122, 9046, 1009, 14157, 1009, 19368, 1118, 22644, 5459, 1285, 1879, 2403, 1381, 1751, 1060, 2919, 1187, 12722, 3460, 4533, 1009, 1664, 1132, 5635, 1049, 2045, 3399, 4516, 14302, 29975, 1009, 8907, 23122, 1187, 2138, 12934, 1043, 8547, 9759, 1009, 6525, 2778, 79, 3545, 15625, 1118, 22644, 5459, 1285, 3545, 1187, 2138, 2365, 1009, 14157, 3545, 1060, 22812, 3384, 19409, 3545, 1054, 4397, 9288, 3141, 25172, 1046, 1348, 1876, 1114, 2706, 4114, 1, 2152, 4396, 1736, 1034, 6532, 96, 18318, 11231, 1096, 1094, 3610, 1009, 8695, 3400, 1304, 15295, 1045, 1069, 1060, 2531, 1128, 2461, 86, 2314, 1104, 1065, 22969, 1063, 3610, 1096, 1026, 10112, 2725, 9767, 1221, 1060, 2123, 4396, 1736, 1333, 75, 1216, 29660, 1088, 12991, 1049, 6969, 4819, 20, 10590, 20227, 1072, 1681, 77, 15578, 1205, 1423, 5897, 1658, 3610, 1195, 10865, 1054, 23035, 1118, 30649, 1205, 1423, 1925, 1159, 2152, 4396, 1736, 1034, 6532, 96, 18318, 11231, 4349, 75, 4396, 1736, 1034, 4073, 89, 1907, 22648, 12154, 1054, 23035, 1, 5189, 4307, 1097, 1032, 3287, 1172, 91, 1375, 4213, 1047, 5820, 675, 1096, 1094, 3610, 1009, 26596, 1126, 2531, 19449, 24350, 1324, 1048, 4292, 1072, 3292, 8668, 16056, 1009, 8766, 3405, 2230, 5602, 26808, 1085, 6146, 1043, 1703, 8504, 22675, 1599, 15994, 1869, 1362, 2520, 1758, 1080, 11211, 1046, 1049, 1028, 21215, 1049, 1703, 8504, 22207, 1233, 2068, 1060, 10954, 20, 2034, 6831, 1327, 25407, 3085, 1273, 1009, 24136, 86, 11388, 1005, 16171, 1862, 2106, 1005, 1028, 1507, 1304, 1114, 1751, 1009, 6529, 1049, 15152, 1631, 20, 21480, 3387, 1233, 30335, 1009, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 1043, 8794, 1536, 5817, 1005, 1028, 1507, 1304, 2729, 2378, 1838, 1112, 1005, 6191, 1257, 5189, 4307, 1097, 1032, 3287, 1172, 91, 1375, 4213, 1047, 5820, 1119, 26419, 3889, 20, 1283, 6504, 1219, 3529, 1156, 1469, 20, 19449, 20, 3292, 3119, 19521, 1030, 20, 4110, 30, 4817, 7375, 23854, 1009, 3610, 7621, 1054, 1574, 10926, 1046, 1730, 1100, 7099, 1626, 18, 1072, 29102, 1006, 3130, 23243, 4722, 1009, 11332, 1054, 1578, 1009, 3149, 1009, 26729, 1118, 31611, 2844, 4091, 18690, 20, 12757, 10840, 29266, 2602, 9149, 1371, 1009, 3610, 1009, 21791, 2404, 7155, 1233, 1049, 5189, 4307, 1097, 1032, 3287, 1172, 91, 1375, 4213, 1803, 1072, 14489, 4697, 4734, 8671, 1195, 20956, 1196, 3818, 19524, 7849, 2961 ]

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

[ 2915, 96, 6093, 1054, 4187, 33, 1054, 7624, 1072, 11621, 26531, 1421, 1093, 1617, 89, 626, 1054, 7083, 1005, 2373, 40, 13773, 1061, 1423, 22026, 20186, 4324, 1114, 1641, 1009, 22652, 7429, 1294, 11333, 1571, 30243, 1079, 1005, 2521, 22148, 33, 1054, 7905, 30243, 1079, 1005, 2521, 22148, 1072, 4632, 1009, 11686, 1009, 12014, 1005, 1114, 2828, 8145, 13521, 14681, 8275, 1054, 27506, 95, 33, 1054, 3977, 3765, 22751, 1054, 10108, 13140, 12163, 14277, 17826, 18, 21587, 3926, 22582, 1005, 1072, 4288, 31612, 1625, 2187, 1018, 1138, 1615, 1018, 1198, 2123, 4421, 2491, 21962, 4324, 1114, 8305, 3726, 1479, 2828, 4594, 1009, 2312, 1029, 3789, 1411, 1114, 4573, 33, 1054, 4152, 13890, 1005, 30243, 1079, 1072, 1344, 1326, 1189, 1953, 88, 153, 11116, 11621, 1009, 20991, 1137, 4875, 4949, 1114, 13071, 2286, 8683, 3917, 1005, 4238, 1195, 17870, 2964, 4631, 1009, 2423, 1072, 12629, 9428, 1009, 5027, 1060, 6338, 1009, 2956, 1060, 5027, 1009, 1764, 2434, 10047, 1934, 2274, 1566, 1058, 7217, 1054, 2653, 3825, 1005, 1043, 4306, 26723, 5255, 8348, 32, 1313, 15976, 1570, 12547, 2255, 7839, 12422, 1163, 1876, 1012, 1803, 0, 27811, 26681, 1570, 7068, 24970, 21512, 17595, 16786, 1810, 13558, 77, 11700, 1803, 2494, 1061, 1017, 1683, 1167, 2528, 8026, 4247, 78, 4013, 1803, 1082, 6720, 2915, 3036, 1100, 2079, 1127, 79, 7736, 1803, 2741, 12235, 1353, 1126, 9877, 1734, 21254, 9899, 14930, 1049, 13427, 7411, 1672, 1288, 1006, 1445, 1272, 1009, 7384, 18651, 2334, 1043, 1359, 1010, 22127, 1005, 22720, 4525, 23986, 1026, 1119, 92, 74, 2373, 50, 1021, 2091, 17788, 4324, 1043, 1006, 22747, 1049, 8825, 2769, 1009, 17145, 2595, 3978, 1009, 30463, 2595, 1009, 8258, 1005, 1184, 5251, 1009, 1009, 8750, 20, 8601, 11797, 10083, 1118, 2653, 1646, 1054, 5966, 1043, 26229, 150, 20537, 29204, 1043, 2306, 1318, 3510, 1079, 1030, 19086, 3994, 1043, 1026, 1011, 2057, 1291, 1142, 2304, 15915, 3772, 13750, 1009, 5855, 1006, 4238, 1043, 1026, 2417, 23426, 11288, 2166, 3027, 4949, 11112, 1009, 10645, 1356, 1908, 1005, 2125, 1004, 92, 28791, 2663, 10401, 1049, 3878, 26531, 19319, 1007, 11288, 1140, 1782, 1646, 626, 1005, 26531, 158, 1043, 26202, 626, 1005, 2125, 1011, 28791, 1071, 625, 54, 19319, 1007, 11288, 1140, 1782, 1646, 4324, 26531, 158, 1043, 26202, 626, 1005, 25123, 5725, 2756, 23426, 11288, 1140, 626, 15, 3313, 1193, 1006, 4188, 1009, 4341, 2781, 1053, 8058, 1529, 81, 3926, 1381, 1751, 1009, 2539, 2000, 1554, 4738, 1079, 1114, 22747, 11939, 1009, 21360, 1072, 2417, 3836, 25830, 1126, 1072, 2743, 25123, 7451, 1049, 17058, 1574, 1027, 4324, 5474, 25123, 1226, 2515, 8226, 12711, 71, 1049, 2743, 1387, 4223, 1120, 9186, 1043, 13588, 7178, 1005, 24906, 1022, 22526, 7027, 5680, 4965, 1596, 19073, 1054, 1062, 74, 1678, 9009, 7242, 1438, 1356, 3878, 3836, 25615, 11229, 3836, 1049, 3826, 1005, 11944, 3110, 1270, 1751, 1318, 1049, 2417, 1063, 2529, 16781, 1044, 7228, 1090, 5361, 1043, 1006, 2423, 1060, 2706, 4114, 14762, 3027, 4949, 7242, 1438, 1118, 2220, 1026, 3878, 3836, 14355, 1005, 18104, 6126, 14219, 1646, 16678, 1043, 1006, 26318, 1291, 1207, 1631, 4719, 10715, 1400, 3027, 1043, 1687, 12985, 1791, 1011, 74, 4676, 1134, 29317, 1005, 18786, 31064, 1128, 2607, 1837, 1487, 1646, 1043, 1026, 9171, 1005, 3746, 31664, 17401, 8946, 5160, 3027, 28196, 1187, 1011, 28791, 31612, 1013, 2091, 4324, 0, 2373, 11603, 28830, 626, 1005, 14949, 57, 1052, 1070, 1140, 626, 1658, 20183, 1079, 1006, 7197, 2079, 1127, 79, 7736, 79, 1114, 9345, 1049, 4299, 1106, 9886, 2286, 7240, 2521, 9345, 1114, 6512, 1043, 1026, 26877, 7384, 8527, 1005, 1006, 22747, 14600, 74, 84, 1009, 4111, 96, 1577, 1005, 30979, 1100, 3027, 1159, 1638, 1291, 1026, 9163, 1041, 1291, 10212, 2397, 1609, 10986, 1133, 2339, 16437, 2423, 5092, 5148, 1753, 1079, 7889, 1005, 2521, 1006, 9345, 5092, 1049, 1011, 74, 3285, 1447, 1411, 1060, 7197, 1005, 30272, 6908, 1036, 1930, 0, 12176, 1318, 28196, 1009, 1456, 11451, 1119, 1917, 1328, 1005, 13287, 23847, 4349, 1473, 1079, 1054, 4127, 1044, 3066, 1068, 4843, 1009, 30114, 1072, 8658, 1924, 11469, 15335, 1054, 19731, 1588, 1010, 1072, 5109, 1049, 2956, 1009, 1764, 2434, 21097, 1257, 1156, 1214, 150, 5, 1119, 19513, 1180, 2902, 1010, 1005, 3217, 1161, 5, 2915, 14403, 1067, 1258, 1126, 12593, 14532, 3160, 1421, 2789, 1129, 1573, 1049, 2497, 1009, 1764, 2434, 14423, 1060, 5411, 1009, 30821, 1005, 9522, 1060, 2828, 1009, 1764, 2434, 6577, 1060, 1641, 1009, 1764, 2434, 1, 5189, 4307, 1097, 1032, 3287, 1881, 1104, 1468, 79, 675, 1096, 1094, 3610, 1009, 26596, 1126, 2531, 19449, 24350, 1324, 1048, 4292, 1114, 22456, 2275, 16056, 1009, 8766, 3405, 2230, 5602, 26808, 1085, 6146, 1043, 1703, 8504, 22675, 1599, 15994, 1869, 1362, 2520, 1758, 1080, 11211, 1046, 1049, 1028, 21215, 1049, 1703, 8504, 22207, 1233, 2068, 1060, 10954, 20, 2034, 6831, 2643, 24136, 86, 11388, 1005, 16171, 1862, 2106, 1005, 1028, 1507, 1304, 1114, 1751, 1009, 6529, 1049, 15152, 1631, 20, 21480, 3387, 1233, 30335, 1009, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 1043, 8794, 6962, 1273, 1869, 1362, 2520, 1758, 1049, 1592, 7456, 1271, 4200, 12223, 1005, 1028, 1507, 1304, 9327, 2378, 1838, 1112, 1005, 6191, 675, 1257, 5189, 4307, 1097, 1032, 3287, 1881, 1104, 1468, 79, 7536, 28943, 1577, 93, 3169, 1126, 31611, 1073, 3870, 96, 1283, 9398, 2422, 2339, 1142, 8064, 7293, 2860, 2224, 14, 23, 3692, 1844, 621, 19476, 4585, 4681, 16500, 9224, 2266, 14707, 1357, 7813, 1582, 1060, 7923, 2429, 2748, 7699, 1006, 2323, 1009, 2748, 2341, 4726, 1069, 1006, 2916, 1009, 30098, 4722, 1009, 11332, 18, 1072, 2882, 1108, 2844, 1062, 2363, 1609, 16168, 1054, 7905, 20620, 1009, 8766, 7329, 21791, 2404, 14012, 2636, 11902, 1026, 5189, 4307, 1097, 1032, 3287, 1080, 3180, 1018, 79, 3158, 1119, 1731, 14301, 1371, 1118, 5924, 15152, 1631, 1009, 14637, 1010, 14088, 2565, 1026, 2838, 1166, 1005, 5137, 1093, 1229, 11143, 1009, 2620, 15609, 1072, 14637, 85, 30654, 1005, 1028, 1507, 1304, 23835, 72, 3461, 1005, 1184, 24010, 1072, 1374, 86, 13854, 1063, 1869, 1362, 2520, 1272, 1096, 6151, 1049, 1592, 7456, 1271, 24716, 1728, 1338, 1273, 1009, 5533, 1436, 15338, 1193, 1075, 3273, 14088, 1102, 1005, 1251, 5531, 1312, 3010, 9454, 1006, 1044, 2195, 21821, 1009, 7456, 20, 16056, 1009, 3610, 3822, 4445, 1009, 12975, 1118, 1569, 8794, 20631, 1005, 8183, 11991, 1273, 1026, 2838, 1312, 3818, 19524, 7849, 2961, 4307, 1097, 1032, 3287, 23532, 3362, 12154, 1054, 4238, 1, 7695, 3728, 1205, 1819, 26721, 3201, 1159, 19911, 79, 1205, 1819, 1226, 4045, 28003, 3771, 1009, 3383, 1009, 17838, 1349, 1096, 1044, 5098, 4971, 14093, 3126, 2670, 1049, 675, 6387, 14297, 1105, 1007, 1084, 23480, 11514, 149, 18, 25804, 1054, 14982, 3818, 9079, 675, 9597, 4987, 3133, 3554, 1573, 1187, 3997, 15543, 1060, 6512, 30805, 1573, 1060, 6512, 6577, 1009, 2529, 79, 3576, 1819, 26721, 19911, 79, 30329, 15543, 1060, 6512, 9538, 14864, 14685, 1060, 6365, 1114, 19329, 4509, 45, 8597, 55, 3726, 17, 15, 1, 7139, 40, 20381, 5488, 18, 21230, 1477, 7139, 40, 20381, 11019, 5488, 15, 1195, 1044, 3159, 1009, 6894, 1009, 7847, 1060, 7139, 40, 20381, 21230, 2327, 1123, 4326, 15, 1068, 1006, 3364, 1187, 8255, 7139, 40, 20381, 20, 1138, 3159, 2516, 2898, 1679, 5015, 1049, 7139, 40, 20381, 1043, 1044, 3563, 1068, 16321, 18, 12058, 1005, 8947, 7847, 1009, 3078, 12111, 1138, 3159, 1195, 1213, 1238, 1054, 1083, 1009, 3149, 1009, 16821, 16324, 2125, 3145, 30582, 1009, 2131, 16230, 1225, 1006, 1712, 8596, 1118, 3609, 1009, 3175, 2052, 11587, 3487, 3006, 6991, 1054, 8198, 1043, 2052, 8856, 6507, 3211, 1254, 1005, 1123, 2052, 3130, 2102, 18, 1254, 1357, 11019, 22283, 1060, 8789, 1005, 1026, 5357, 18455, 2196, 10663, 3942, 2738, 1009, 7218, 2182, 1910, 7847, 3586, 5262, 1072, 7139, 40, 20381, 5488, 20, 2858, 1901, 5738, 1006, 5643, 1009, 7847, 7949, 1675, 16112, 9933, 10156, 2078, 3977, 15, 1005, 1044, 3681, 1846, 6617, 1910, 7847, 4015, 75, 3055, 1009, 3977, 1565, 1776, 7139, 40, 20381, 12619, 1054, 3042, 1009, 7057, 1006, 1123, 4326, 6139, 1048, 11019, 5488, 2569, 1184, 1009, 25509, 1910, 1168, 4875, 7432, 2232, 13358, 1054, 4984, 1009, 3049, 1009, 4229, 3818, 2310, 10559, 4080, 1026, 7139, 40, 20381, 11019, 5488, 2995, 22212, 40, 20381, 11019, 5488, 4932, 4431, 2548, 1534, 5111, 27073, 24887, 1, 5189, 4307, 1097, 1032, 3287, 19901, 19465, 6155, 675, 1096, 1094, 3610, 1009, 26596, 1126, 2531, 19449, 24350, 1324, 1048, 4292, 1072, 7069, 8341, 675, 16056, 1009, 8766, 3405, 2230, 5602, 26808, 1085, 6146, 1043, 1703, 8504, 1005, 8794, 2296, 74, 8499, 2106, 15994, 1869, 1362, 2520, 1758, 1080, 11211, 1046, 5232, 1009, 1044, 1028, 21215, 1114, 2068, 1009, 1569, 14510, 6536, 1728, 2034, 6831, 1327, 25407, 3085, 1273, 6069, 1273, 1009, 24136, 86, 11388, 1005, 16171, 1862, 2106, 1005, 1028, 1507, 1304, 1114, 1751, 1009, 6529, 1049, 15152, 1631, 20, 21480, 3387, 1213, 2417, 1009, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 1048, 1160, 2643, 8794, 3048, 1703, 12758, 2551, 1347, 2378, 1838, 1112, 1005, 6191, 675, 1257, 5189, 4307, 1097, 1032, 3287, 19901, 19465, 6155, 4568, 1812, 2459, 18, 1587, 5505, 20, 12074, 20, 2228, 20, 2960, 14311, 12443, 20, 18878, 8956, 18889, 2128, 24, 1967, 2337, 15, 16574, 1009, 22664, 1024, 1021, 1005, 1073, 1606, 1075, 1021, 18543, 1048, 4548, 1657, 2156, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 13989, 1010, 1043, 14510, 8478, 1065, 3273, 1054, 1224, 26738, 2762, 4568, 82, 3418, 1363, 5649, 1048, 2237, 1318, 1225, 1005, 1048, 1318, 3068, 1693, 1371, 27346, 12941, 1124, 1080, 1470, 73, 1133, 1016, 17138, 3150, 1705, 1806, 1048, 1124, 6831, 1327, 6069, 1273, 1225, 16171, 2574, 7314, 1048, 1124, 24136, 15701, 1273, 15152, 1631, 25254, 1193, 1075, 1599, 1043, 14637, 1010, 19728, 31366, 5624, 1229, 6941, 1005, 5137, 1093, 1229, 1005, 30654, 3080, 5408, 1005, 5490, 1136, 33, 1028, 1507, 1304, 11385, 1091, 15702, 18599, 7646, 19, 1781, 1179, 30912, 1860, 1435, 2125, 21487, 1009, 7456, 33, 1005, 9053, 1304, 2620, 19887, 1667, 22979, 1197, 1054, 3149, 19, 1183, 4475, 11230, 8587, 2594, 8357, 1463, 18179, 1049, 5189, 4307, 1097, 1032, 3287, 9022, 2580, 1226, 3818, 19524, 7849, 2961, 4307, 1097, 1032, 3287, 23532, 3362, 12154, 1054, 24359, 1, 14225, 1108, 8532, 16334, 18, 1096, 1094, 8907, 23122, 9046, 1009, 14157, 1009, 19368, 1118, 22644, 5459, 1285, 1879, 2403, 1381, 1751, 1060, 2919, 1187, 12722, 3460, 4533, 1009, 1664, 1132, 5635, 1049, 2045, 3399, 4516, 14302, 29975, 1009, 8907, 23122, 1187, 2138, 12934, 1043, 8547, 9759, 1009, 6525, 2778, 79, 3545, 15625, 1118, 22644, 5459, 1285, 3545, 1187, 2138, 2365, 1009, 14157, 3545, 1060, 22812, 3384, 19409, 3545, 1054, 4397, 9288, 3141, 25172, 1046, 1348, 1876, 1114, 2706, 4114, 1, 2152, 4396, 1736, 1034, 6532, 96, 18318, 11231, 1096, 1094, 3610, 1009, 8695, 3400, 1304, 15295, 1045, 1069, 1060, 2531, 1128, 2461, 86, 2314, 1104, 1065, 22969, 1063, 3610, 1096, 1026, 10112, 2725, 9767, 1221, 1060, 2123, 4396, 1736, 1333, 75, 1216, 29660, 1088, 12991, 1049, 6969, 4819, 20, 10590, 20227, 1072, 1681, 77, 15578, 1205, 1423, 5897, 1658, 3610, 1195, 10865, 1054, 23035, 1118, 30649, 1205, 1423, 1925, 1159, 2152, 4396, 1736, 1034, 6532, 96, 18318, 11231, 4349, 75, 4396, 1736, 1034, 4073, 89, 1907, 22648, 12154, 1054, 23035, 1, 5189, 4307, 1097, 1032, 3287, 1172, 91, 1375, 4213, 1047, 5820, 675, 1096, 1094, 3610, 1009, 26596, 1126, 2531, 19449, 24350, 1324, 1048, 4292, 1072, 3292, 8668, 16056, 1009, 8766, 3405, 2230, 5602, 26808, 1085, 6146, 1043, 1703, 8504, 22675, 1599, 15994, 1869, 1362, 2520, 1758, 1080, 11211, 1046, 1049, 1028, 21215, 1049, 1703, 8504, 22207, 1233, 2068, 1060, 10954, 20, 2034, 6831, 1327, 25407, 3085, 1273, 1009, 24136, 86, 11388, 1005, 16171, 1862, 2106, 1005, 1028, 1507, 1304, 1114, 1751, 1009, 6529, 1049, 15152, 1631, 20, 21480, 3387, 1233, 30335, 1009, 5715, 1009, 5189, 4307, 1097, 1032, 3287, 1043, 8794, 1536, 5817, 1005, 1028, 1507, 1304, 2729, 2378, 1838, 1112, 1005, 6191, 1257, 5189, 4307, 1097, 1032, 3287, 1172, 91, 1375, 4213, 1047, 5820, 1119, 26419, 3889, 20, 1283, 6504, 1219, 3529, 1156, 1469, 20, 19449, 20, 3292, 3119, 19521, 1030, 20, 4110, 30, 4817, 7375, 23854, 1009, 3610, 7621, 1054, 1574, 10926, 1046, 1730, 1100, 7099, 1626, 18, 1072, 29102, 1006, 3130, 23243, 4722, 1009, 11332, 1054, 1578, 1009, 3149, 1009, 26729, 1118, 31611, 2844, 4091, 18690, 20, 12757, 10840, 29266, 2602, 9149, 1371, 1009, 3610, 1009, 21791, 2404, 7155, 1233, 1049, 5189, 4307, 1097, 1032, 3287, 1172, 91, 1375, 4213, 1803, 1072, 14489, 4697, 4734, 8671, 1195, 20956, 1196, 3818, 19524, 7849, 2961 ]

[ 1359, 10514, 3590, 1214, 1195, 2289, 1211, 16186, 1100, 23029, 2894, 23180, 1846, 1009, 8149, 3229, 17206, 1072, 1006, 1785, 85, 1305, 7474, 4492, 5220, 16423, 24914, 1620, 2237, 85, 1049, 1819, 20, 1128, 4888, 1791, 25195, 1024, 1333, 1048, 1558, 2241, 3116, 2223, 22575, 1508, 1072, 12844, 1009, 23912, 1124, 10923, 32, 3949, 7558, 1060, 15600, 1836, 11687, 18, 1309, 1846, 4108, 7981, 1026, 1638, 20, 1138, 10744, 1009, 23912, 1005, 78, 7663, 18, 16881, 3426, 1030, 1407, 1508, 1048, 2553, 5793, 2340, 1026, 2930, 10354, 5392, 1034, 30712, 1026, 2411, 13849, 1178, 1242, 1124, 26901, 1404, 7558, 20, 21650, 1048, 4386, 1508, 1124, 3010, 1016, 1005, 1294, 29687, 1229, 1846, 1808, 1508, 1124, 3010, 1016, 1114, 1090, 1239, 1068, 1026, 1109, 94, 1714, 2835, 1100, 1846, 1294, 3215, 2315, 14399, 1846, 30221, 1006, 15842, 1068, 1026, 2411, 13849, 1068, 4143, 1013, 3424, 2858, 1289, 1885, 71, 1043, 2519, 1009, 22176, 3994, 1043, 1044, 7818, 4075, 1323, 7600, 1009, 6794, 1114, 1427, 1377, 2200, 1323, 9964, 1048, 1516, 1044, 9271, 1009, 1289, 1885, 1126, 1005, 1048, 2096, 5147, 8853, 25626, 2794, 1089, 1048, 11798, 2449, 2519, 1009, 26676, 3921, 7, 1138, 69, 14628, 1124, 1783, 1068, 5379, 1058, 11798, 1836, 21444, 10320, 6875, 3475, 1054, 5220, 1804, 1010, 1026, 12270, 1005, 1846, 1026, 3435, 1048, 1503, 11798, 2257, 20218, 1138, 2631, 1195, 1048, 1264, 1294, 19396, 4125, 8557, 1305, 15842, 19574, 1175, 1776, 4898, 1009, 2332, 1122, 1007, 19313, 3528, 23912, 16382, 4805, 7061, 1054, 1044, 1187, 2025, 2628, 1018, 1009, 9300, 1007, 1609, 1100, 1006, 1025, 2607, 1511, 3708, 1026, 2930, 3302, 1400, 9285, 1058, 1558, 1179, 1508, 26217, 7460, 2315, 1048, 11798, 1558, 1179, 1508, 26217, 1005, 1687, 29514, 2865, 1006, 4347, 1054, 3116, 1018, 1009, 1118, 14442, 3106, 19184, 2947, 4456, 4810, 1009, 4537, 1072, 3217, 1140, 1565, 3126, 1026, 90, 1714, 2098, 20659, 16382, 1006, 1807, 16542, 19313, 1009, 3794, 13997, 17805, 5287, 1005, 15430, 15904, 1972, 1006, 4614, 1195, 1493, 2512, 1261, 1855, 1040, 10069, 1118, 1028, 1229, 2246, 11798, 26771, 20218, 4567, 1187, 1345, 3980, 1229, 4386, 1508, 1044, 3786, 79, 2894, 1006, 13485, 31230, 1048, 26116, 1508, 1026, 8292, 3784, 4386, 1508, 1124, 3687, 92, 2223, 1084, 1118, 2822, 30221, 1054, 2930, 8292, 7895, 1542, 8610, 2315, 3659, 1054, 1156, 1108, 1169, 7430, 75, 1189, 1678, 1094, 4671, 6140, 1493, 7868, 1800, 71, 1005, 14365, 4142, 3567, 1138, 11655, 1047, 1005, 78, 1493, 16849, 3421, 19887, 15903, 1962, 4062, 1005, 1962, 1011, 1377, 2494, 6140, 11798, 3745, 10609, 5443, 1016, 1005, 3048, 6550, 1009, 1624, 9744, 1482, 1752, 22242, 1206, 7530, 1009, 2120, 26198, 1592, 11798, 3027, 28216, 1040, 9775, 1157, 1132, 7041, 1927, 3758, 1040, 1006, 5181, 3843, 1005, 1058, 1225, 1855, 1040, 1058, 30837, 1132, 7041, 1068, 12390, 2654, 1620, 11798, 6581, 22406, 5560, 16952, 1100, 1503, 18760, 12805, 7345, 7041, 1054, 2535, 1009, 1855, 1040, 4125, 3443, 1100, 13797, 1124, 1783, 17124, 3048, 2022, 3847, 1109, 25098, 13187, 16269, 2894, 2364, 2159, 1089, 1026, 1531, 2220, 1054, 18071, 1068, 5807, 1124, 2884, 1893, 1066, 1400, 1005, 1054, 1094, 3757, 1009, 1641, 5846, 31380, 1089, 10916, 2589, 1021, 3273, 1011, 1412, 2841, 7759, 1063, 1641, 1005, 78, 1493, 14107, 1005, 27671, 25576, 1175, 1063, 31986, 2091, 2555, 1040, 4614, 1009, 1664, 1132, 4267, 1005, 3267, 5129, 30518, 28264, 1124, 1783, 9485, 1054, 2588, 13653, 3302, 1400, 6352, 1400, 1006, 9639, 1324, 22176, 1005, 7088, 9072, 6352, 1018, 1225, 1679, 3073, 5600, 2569, 1094, 3907, 1048, 1090, 1179, 1508, 28223, 1068, 1006, 2573, 1009, 3794, 13997, 1503, 5846, 3745, 6352, 1018, 1114, 18683, 1011, 1412, 2841, 15793, 23409, 1079, 1114, 5310, 7, 2100, 1482, 2930, 1244, 2715, 18131, 1043, 17394, 1264, 1195, 2201, 18923, 3617, 1063, 3364, 1187, 4290, 1048, 18657, 5807, 3473, 16269, 24206, 1043, 15081, 20, 2494, 9300, 1007, 19313, 1195, 1043, 1094, 22640, 1114, 2451, 1009, 31270, 1571, 1287, 10799, 1026, 2492, 1221, 1009, 31270, 24206, 1043, 1044, 21595, 14986, 1072, 4235, 1571, 1345, 31091, 3028, 2612, 1006, 11237, 1009, 3028, 2612, 1005, 78, 23269, 5221, 1072, 2386, 1571, 20398, 2930, 2188, 1154, 5619, 4735, 1019, 1434, 1195, 1043, 1094, 10447, 9549, 9072, 1026, 8751, 1069, 1049, 5503, 6464, 9485, 11798, 16491, 20218, 13187, 3616, 1005, 78, 4805, 4614, 1048, 15309, 1072, 4049, 1418, 3302, 1018, 2237, 1493, 1680, 11142, 1406, 1511, 7032, 2307, 1026, 5421, 1047, 16266, 2092, 1050, 10277, 1011, 70, 1223, 1030, 1074, 2522, 2059, 20, 2654, 5192, 1048, 4805, 4614, 1846, 1009, 4125, 1357, 6521, 1005, 1068, 1009, 2392, 1930, 1251, 3899, 1048, 2237, 2289, 23029, 8292, 1130, 1009, 21643, 1084, 1058, 1234, 24306, 1068, 18071, 21659, 1729, 1006, 9280, 6832, 15517, 3982, 2340, 1114, 3907, 1048, 30518, 1043, 6464, 1006, 4347, 1054, 3302, 1400, 1005, 2535, 1857, 11798, 7843, 5984, 10045, 1046, 1114, 3907, 1068, 1026, 6832, 3812, 1040, 4805, 3616, 1068, 5501, 9175, 1309, 1090, 11809, 14738, 1054, 7835, 1391, 2625, 1890, 1132, 12627, 6771, 11798, 2826, 1105, 14612, 13797, 30221, 1005, 18657, 5807, 1044, 14885, 1009, 23470, 1063, 16841, 1066, 2306, 2237, 23257, 1026, 4861, 1005, 1808, 85, 1044, 3838, 7152, 8280, 2430, 3085, 2002, 1357, 6563, 21457, 1026, 18345, 17124, 1005, 78, 2191, 23536, 1009, 5501, 1132, 1251, 1361, 1005, 14659, 1509, 1728, 1, 6062, 1181, 1769, 12507, 20140, 1026, 25462, 983, 18, 1044, 1011, 983, 2234, 1810, 5102, 1048, 1195, 5413, 30362, 1599, 1043, 1006, 3759, 1328, 5503, 5916, 1309, 2364, 1151, 983, 1090, 983, 6118, 1810, 1068, 1261, 1044, 1064, 3144, 4115, 4805, 6882, 1009, 6313, 1005, 16875, 1616, 1043, 1569, 24722, 1580, 1005, 1235, 3445, 2691, 1783, 7, 2200, 3135, 1009, 1044, 4774, 1005, 1009, 1094, 1904, 983, 82, 1411, 17656, 1601, 983, 3433, 7, 1, 5795, 1049, 1842, 91, 31465, 32, 1062, 28479, 1160, 8666, 4786, 1009, 1178, 6134, 1356, 9214, 1054, 4644, 15783, 1797, 28479, 1160, 8666, 4786, 1009, 1178, 6134, 1356, 9214, 1054, 4644, 15783, 1605, 6752, 1233, 20645, 8779, 1009, 4644, 1067, 3893, 7214, 1076, 18107, 17505, 4576, 1048, 9048, 1487, 10703, 7533, 1566, 1624, 1497, 2691, 4268, 1060, 1641, 22610, 11744, 1006, 2779, 1159, 6134, 4107, 6135, 2656, 1345, 1035, 4786, 1009, 1178, 1026, 3867, 31386, 4107, 28379, 1356, 11273, 1049, 4113, 1479, 3572, 1126, 8218, 1188, 1009, 1048, 1006, 8555, 3647, 150, 1006, 2283, 29087, 1112, 1726, 12005, 89, 1009, 10821, 1005, 19792, 6135, 1128, 2448, 1675, 2081, 5988, 11, 1187, 7533, 27328, 1005, 1989, 20366, 1323, 6293, 3233, 4039, 1068, 1026, 5333, 20, 1063, 8555, 8285, 1049, 2930, 6079, 2246, 4929, 4592, 1010, 1479, 25321, 71, 6383, 18015, 18107, 22835, 32, 19, 12331, 1178, 10374, 1069, 1005, 1054, 18617, 1069, 5219, 1006, 3940, 4073, 5806, 1006, 8555, 1225, 1009, 1663, 19447, 1006, 9425, 3295, 29, 2944, 1049, 1128, 11840, 1479, 17315, 1043, 13528, 1132, 1456, 7896, 9377, 1005, 31481, 6135, 11203, 7896, 1210, 21771, 7533, 1858, 1006, 8082, 1098, 14037, 2287, 1005, 18909, 4107, 2306, 22669, 1006, 3364, 1187, 23093, 1305, 6242, 1132, 7533, 17604, 1005, 1028, 15343, 1084, 1096, 1989, 6980, 1048, 4319, 1054, 4644, 1067, 14901, 10634, 3192, 1294, 5225, 5694, 1009, 9462, 1006, 8592, 1072, 1901, 1048, 3904, 1175, 5649, 4578, 7214, 1076, 18107, 17505, 4576, 1026, 2283, 1993, 1114, 20645, 1054, 4644, 1067, 3893, 4850, 1060, 12162, 1048, 2601, 18, 1298, 18580, 1054, 5376, 27168, 1392, 1213, 2568, 5098, 26746, 4626, 1312, 1118, 5431, 1525, 17860, 1060, 22626, 29516, 1623, 2464, 2277, 5806, 11645, 22167, 1020, 15595, 1043, 1006, 4270, 2027, 1072, 14330, 1294, 4679, 2864, 2691, 2156, 5298, 7191, 1580, 1118, 10821, 1005, 7438, 1081, 6135, 4644, 15783, 3135, 1005, 2572, 11542, 3606, 4282, 84, 11821, 1138, 4113, 1325, 31197, 1009, 1419, 1124, 1783, 1058, 6329, 1435, 1114, 8592, 18, 1305, 1756, 3890, 1026, 3338, 1068, 1026, 30533, 12151, 5501, 4644, 15783, 4202, 1072, 3439, 4918, 1479, 1244, 1665, 1026, 10731, 3382, 9491, 1819, 2464, 1094, 1472, 1114, 1695, 2069, 1049, 2866, 4547, 3043, 1945, 1009, 16505, 5629, 8317, 1048, 3711, 6326, 5275, 1006, 3450, 1009, 1834, 1187, 10385, 6135, 12151, 2997, 7741, 1006, 13054, 23050, 1048, 1006, 2779, 3241, 7176, 1005, 7562, 1175, 9491, 1802, 4356, 8309, 15, 1, 1683, 12494, 1009, 9330, 1060, 5337, 6748, 1357, 25768, 1472, 1005, 2155, 1068, 3646, 13113, 11, 1175, 11248, 1049, 6956, 1029, 7133, 2547, 1887, 13432, 3758, 2644, 1357, 25768, 1472, 9033, 1006, 22190, 1068, 1026, 4758, 1060, 5337, 5092, 1668, 7313, 1063, 20697, 1068, 1006, 9330, 1049, 23665, 31773, 1106, 29317, 2645, 8182, 15, 1479, 1006, 11954, 1009, 1664, 1132, 8738, 1005, 3140, 12772, 1072, 1908, 1479, 2364, 6748, 1715, 1, 1063, 6068, 6990, 12470, 1048, 1026, 3118, 1104, 13846, 2550, 1123, 60, 11625, 1048, 1836, 5791, 6295, 2271, 9560, 20392, 15, 1114, 8128, 1060, 9649, 3434, 2469, 1114, 2413, 1009, 8277, 25918, 4657, 1009, 1983, 1330, 13617, 1034, 3306, 45, 1349, 3867, 1233, 1863, 4719, 1043, 1026, 2956, 1009, 1764, 4989, 1195, 5413, 1114, 5096, 2429, 9137, 2149, 0, 1565, 5153, 1026, 21125, 8877, 14413, 1060, 5774, 20413, 1060, 7727, 1009, 8277, 25918, 1048, 1043, 4565, 1124, 6444, 1054, 12739, 1026, 10424, 1195, 24342, 1069, 1118, 1044, 26886, 85, 1060, 10502, 14324, 6164, 1006, 7780, 4722, 1060, 1863, 4719, 1365, 6130, 8763, 1005, 1764, 4989, 1566, 1072, 4657, 1009, 1764, 4644, 1842, 12504, 1870, 1048, 11512, 1006, 1764, 3236, 1187, 10348, 2794, 54, 1565, 1776, 2268, 1026, 4316, 1009, 11906, 1060, 1063, 15468, 29128, 1620, 1160, 12470, 1006, 4734, 9003, 1026, 21125, 5774, 20413, 1264, 3661, 1094, 8262, 1009, 7114, 1060, 1134, 5881, 4504, 1157, 1006, 7633, 1060, 14119, 20, 1138, 26886, 85, 4064, 1495, 1026, 2386, 1846, 1048, 1094, 4137, 1195, 16808, 1890, 1044, 10354, 7994, 1017, 17739, 1322, 1006, 2413, 4485, 1159, 15332, 169, 20, 2494, 20688, 1195, 4947, 1044, 20639, 1009, 3357, 1049, 1048, 2909, 1006, 18329, 1045, 1416, 1049, 10424, 20, 2494, 5096, 2429, 13790, 1195, 3330, 1044, 10354, 7994, 1017, 17739, 1072, 8500, 1309, 3121, 1213, 14983, 1557, 3192, 1195, 2419, 2270, 29857, 5738, 1026, 26886, 85, 1060, 1134, 5881, 12161, 1213, 2386, 1005, 2429, 1472, 4713, 24342, 1024, 1005, 16675, 1048, 3711, 1058, 5632, 1049, 3118, 1104, 13846, 3590, 19810, 1233, 9120, 1009, 28936, 1124, 5908, 1054, 3548, 22858, 1094, 16362, 1357, 15200, 19787, 1060, 8128, 1060, 9649, 3434, 1239, 1495, 1026, 2386, 1571, 1325, 1006, 14119, 20, 1063, 9383, 1160, 2909, 2481, 1663, 1026, 17662, 6536, 1100, 1566, 1048, 1006, 2413, 1325, 1198, 20451, 1118, 4208, 1245, 5949, 6771, 1160, 1058, 4337, 1428, 1096, 1026, 2497, 1009, 2926, 1187, 1791, 3842, 1708, 1048, 3586, 1006, 14089, 5613, 28008, 1114, 2413, 1365, 1764, 2434, 1005, 6130, 9577, 1043, 1026, 12906, 1009, 1044, 10424, 11779, 9721, 2400, 10635, 1009, 8308, 3279, 3306, 30212, 1005, 1044, 26886, 85, 1207, 19, 4990, 3845, 1073, 1036, 1126, 1049, 2293, 1009, 15457, 1063, 5980, 8981, 1158, 6169, 4846, 2858, 2068, 1195, 3510, 1140, 1054, 1764, 3236, 1187, 10348, 20, 1138, 5030, 3551, 5259, 1009, 8277, 9953, 4871, 1463, 28008, 1118, 3548, 15342, 1094, 4272, 11477, 18, 1094, 26265, 1009, 31270, 2521, 1026, 20665, 1049, 7604, 1009, 1044, 1187, 3842, 1708, 1049, 10424, 20, 2858, 6550, 1195, 9819, 1069, 1118, 2922, 1271, 24560, 1009, 9560, 20392, 1349, 1114, 2413, 1009, 25225, 1009, 1764, 4644, 1842, 12504, 1870, 4657, 1009, 1764, 3236, 1187, 10348, 1533, 14119, 1516, 9713, 1252, 1140, 1356, 17445, 1009, 2293, 18028, 2794, 11285, 13470, 6848, 5121, 1048, 2922, 1589, 1068, 1006, 1641, 1043, 1026, 5399, 1009, 9850, 10974, 16322, 2529, 6420, 3633, 29227, 1009, 14191, 1065, 10478, 2794, 54, 1565, 1, 1083, 1175, 7524, 3430, 22, 3663, 3541, 2639, 17816, 20, 31607, 3218, 1254, 6507, 1175, 1387, 2130, 1175, 3811, 8785, 1144, 0, 7819, 5871, 30, 21, 7795, 10222, 1022, 15945, 32, 1180, 4043, 4752, 3690, 14014, 1005, 1734, 10222, 1022, 15945, 32, 1180, 4043, 4752, 3690, 1845, 3812, 14987, 1009, 14567, 1009, 1387, 2130, 1750, 91, 4917, 1118, 1180, 1082, 2818, 1067, 17954, 4863, 17960, 1118, 1224, 3300, 6018, 1063, 1067, 2818, 1067, 18, 1054, 10764, 1009, 1082, 17954, 1114, 1428, 1026, 2566, 4434, 1814, 1026, 5496, 1009, 27127, 5565, 2942, 1006, 1235, 7855, 2309, 9511, 1009, 3124, 1005, 3282, 28931, 1114, 10731, 1346, 1009, 1033, 4794, 9801, 10546, 1533, 3635, 5857, 5601, 2757, 1043, 1132, 6638, 1009, 1033, 4794, 9842, 27829, 2098, 1074, 1452, 1132, 9088, 2486, 2565, 1294, 4732, 1049, 2859, 22786, 1049, 7453, 1009, 15873, 20510, 1733, 2060, 1233, 1751, 10719, 15945, 1006, 8377, 7058, 1031, 10164, 5372, 5602, 9545, 4350, 1006, 8239, 1009, 5065 ]

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

[ 1359, 10514, 3590, 1214, 1195, 2289, 1211, 16186, 1100, 23029, 2894, 23180, 1846, 1009, 8149, 3229, 17206, 1072, 1006, 1785, 85, 1305, 7474, 4492, 5220, 16423, 24914, 1620, 2237, 85, 1049, 1819, 20, 1128, 4888, 1791, 25195, 1024, 1333, 1048, 1558, 2241, 3116, 2223, 22575, 1508, 1072, 12844, 1009, 23912, 1124, 10923, 32, 3949, 7558, 1060, 15600, 1836, 11687, 18, 1309, 1846, 4108, 7981, 1026, 1638, 20, 1138, 10744, 1009, 23912, 1005, 78, 7663, 18, 16881, 3426, 1030, 1407, 1508, 1048, 2553, 5793, 2340, 1026, 2930, 10354, 5392, 1034, 30712, 1026, 2411, 13849, 1178, 1242, 1124, 26901, 1404, 7558, 20, 21650, 1048, 4386, 1508, 1124, 3010, 1016, 1005, 1294, 29687, 1229, 1846, 1808, 1508, 1124, 3010, 1016, 1114, 1090, 1239, 1068, 1026, 1109, 94, 1714, 2835, 1100, 1846, 1294, 3215, 2315, 14399, 1846, 30221, 1006, 15842, 1068, 1026, 2411, 13849, 1068, 4143, 1013, 3424, 2858, 1289, 1885, 71, 1043, 2519, 1009, 22176, 3994, 1043, 1044, 7818, 4075, 1323, 7600, 1009, 6794, 1114, 1427, 1377, 2200, 1323, 9964, 1048, 1516, 1044, 9271, 1009, 1289, 1885, 1126, 1005, 1048, 2096, 5147, 8853, 25626, 2794, 1089, 1048, 11798, 2449, 2519, 1009, 26676, 3921, 7, 1138, 69, 14628, 1124, 1783, 1068, 5379, 1058, 11798, 1836, 21444, 10320, 6875, 3475, 1054, 5220, 1804, 1010, 1026, 12270, 1005, 1846, 1026, 3435, 1048, 1503, 11798, 2257, 20218, 1138, 2631, 1195, 1048, 1264, 1294, 19396, 4125, 8557, 1305, 15842, 19574, 1175, 1776, 4898, 1009, 2332, 1122, 1007, 19313, 3528, 23912, 16382, 4805, 7061, 1054, 1044, 1187, 2025, 2628, 1018, 1009, 9300, 1007, 1609, 1100, 1006, 1025, 2607, 1511, 3708, 1026, 2930, 3302, 1400, 9285, 1058, 1558, 1179, 1508, 26217, 7460, 2315, 1048, 11798, 1558, 1179, 1508, 26217, 1005, 1687, 29514, 2865, 1006, 4347, 1054, 3116, 1018, 1009, 1118, 14442, 3106, 19184, 2947, 4456, 4810, 1009, 4537, 1072, 3217, 1140, 1565, 3126, 1026, 90, 1714, 2098, 20659, 16382, 1006, 1807, 16542, 19313, 1009, 3794, 13997, 17805, 5287, 1005, 15430, 15904, 1972, 1006, 4614, 1195, 1493, 2512, 1261, 1855, 1040, 10069, 1118, 1028, 1229, 2246, 11798, 26771, 20218, 4567, 1187, 1345, 3980, 1229, 4386, 1508, 1044, 3786, 79, 2894, 1006, 13485, 31230, 1048, 26116, 1508, 1026, 8292, 3784, 4386, 1508, 1124, 3687, 92, 2223, 1084, 1118, 2822, 30221, 1054, 2930, 8292, 7895, 1542, 8610, 2315, 3659, 1054, 1156, 1108, 1169, 7430, 75, 1189, 1678, 1094, 4671, 6140, 1493, 7868, 1800, 71, 1005, 14365, 4142, 3567, 1138, 11655, 1047, 1005, 78, 1493, 16849, 3421, 19887, 15903, 1962, 4062, 1005, 1962, 1011, 1377, 2494, 6140, 11798, 3745, 10609, 5443, 1016, 1005, 3048, 6550, 1009, 1624, 9744, 1482, 1752, 22242, 1206, 7530, 1009, 2120, 26198, 1592, 11798, 3027, 28216, 1040, 9775, 1157, 1132, 7041, 1927, 3758, 1040, 1006, 5181, 3843, 1005, 1058, 1225, 1855, 1040, 1058, 30837, 1132, 7041, 1068, 12390, 2654, 1620, 11798, 6581, 22406, 5560, 16952, 1100, 1503, 18760, 12805, 7345, 7041, 1054, 2535, 1009, 1855, 1040, 4125, 3443, 1100, 13797, 1124, 1783, 17124, 3048, 2022, 3847, 1109, 25098, 13187, 16269, 2894, 2364, 2159, 1089, 1026, 1531, 2220, 1054, 18071, 1068, 5807, 1124, 2884, 1893, 1066, 1400, 1005, 1054, 1094, 3757, 1009, 1641, 5846, 31380, 1089, 10916, 2589, 1021, 3273, 1011, 1412, 2841, 7759, 1063, 1641, 1005, 78, 1493, 14107, 1005, 27671, 25576, 1175, 1063, 31986, 2091, 2555, 1040, 4614, 1009, 1664, 1132, 4267, 1005, 3267, 5129, 30518, 28264, 1124, 1783, 9485, 1054, 2588, 13653, 3302, 1400, 6352, 1400, 1006, 9639, 1324, 22176, 1005, 7088, 9072, 6352, 1018, 1225, 1679, 3073, 5600, 2569, 1094, 3907, 1048, 1090, 1179, 1508, 28223, 1068, 1006, 2573, 1009, 3794, 13997, 1503, 5846, 3745, 6352, 1018, 1114, 18683, 1011, 1412, 2841, 15793, 23409, 1079, 1114, 5310, 7, 2100, 1482, 2930, 1244, 2715, 18131, 1043, 17394, 1264, 1195, 2201, 18923, 3617, 1063, 3364, 1187, 4290, 1048, 18657, 5807, 3473, 16269, 24206, 1043, 15081, 20, 2494, 9300, 1007, 19313, 1195, 1043, 1094, 22640, 1114, 2451, 1009, 31270, 1571, 1287, 10799, 1026, 2492, 1221, 1009, 31270, 24206, 1043, 1044, 21595, 14986, 1072, 4235, 1571, 1345, 31091, 3028, 2612, 1006, 11237, 1009, 3028, 2612, 1005, 78, 23269, 5221, 1072, 2386, 1571, 20398, 2930, 2188, 1154, 5619, 4735, 1019, 1434, 1195, 1043, 1094, 10447, 9549, 9072, 1026, 8751, 1069, 1049, 5503, 6464, 9485, 11798, 16491, 20218, 13187, 3616, 1005, 78, 4805, 4614, 1048, 15309, 1072, 4049, 1418, 3302, 1018, 2237, 1493, 1680, 11142, 1406, 1511, 7032, 2307, 1026, 5421, 1047, 16266, 2092, 1050, 10277, 1011, 70, 1223, 1030, 1074, 2522, 2059, 20, 2654, 5192, 1048, 4805, 4614, 1846, 1009, 4125, 1357, 6521, 1005, 1068, 1009, 2392, 1930, 1251, 3899, 1048, 2237, 2289, 23029, 8292, 1130, 1009, 21643, 1084, 1058, 1234, 24306, 1068, 18071, 21659, 1729, 1006, 9280, 6832, 15517, 3982, 2340, 1114, 3907, 1048, 30518, 1043, 6464, 1006, 4347, 1054, 3302, 1400, 1005, 2535, 1857, 11798, 7843, 5984, 10045, 1046, 1114, 3907, 1068, 1026, 6832, 3812, 1040, 4805, 3616, 1068, 5501, 9175, 1309, 1090, 11809, 14738, 1054, 7835, 1391, 2625, 1890, 1132, 12627, 6771, 11798, 2826, 1105, 14612, 13797, 30221, 1005, 18657, 5807, 1044, 14885, 1009, 23470, 1063, 16841, 1066, 2306, 2237, 23257, 1026, 4861, 1005, 1808, 85, 1044, 3838, 7152, 8280, 2430, 3085, 2002, 1357, 6563, 21457, 1026, 18345, 17124, 1005, 78, 2191, 23536, 1009, 5501, 1132, 1251, 1361, 1005, 14659, 1509, 1728, 1, 6062, 1181, 1769, 12507, 20140, 1026, 25462, 983, 18, 1044, 1011, 983, 2234, 1810, 5102, 1048, 1195, 5413, 30362, 1599, 1043, 1006, 3759, 1328, 5503, 5916, 1309, 2364, 1151, 983, 1090, 983, 6118, 1810, 1068, 1261, 1044, 1064, 3144, 4115, 4805, 6882, 1009, 6313, 1005, 16875, 1616, 1043, 1569, 24722, 1580, 1005, 1235, 3445, 2691, 1783, 7, 2200, 3135, 1009, 1044, 4774, 1005, 1009, 1094, 1904, 983, 82, 1411, 17656, 1601, 983, 3433, 7, 1, 5795, 1049, 1842, 91, 31465, 32, 1062, 28479, 1160, 8666, 4786, 1009, 1178, 6134, 1356, 9214, 1054, 4644, 15783, 1797, 28479, 1160, 8666, 4786, 1009, 1178, 6134, 1356, 9214, 1054, 4644, 15783, 1605, 6752, 1233, 20645, 8779, 1009, 4644, 1067, 3893, 7214, 1076, 18107, 17505, 4576, 1048, 9048, 1487, 10703, 7533, 1566, 1624, 1497, 2691, 4268, 1060, 1641, 22610, 11744, 1006, 2779, 1159, 6134, 4107, 6135, 2656, 1345, 1035, 4786, 1009, 1178, 1026, 3867, 31386, 4107, 28379, 1356, 11273, 1049, 4113, 1479, 3572, 1126, 8218, 1188, 1009, 1048, 1006, 8555, 3647, 150, 1006, 2283, 29087, 1112, 1726, 12005, 89, 1009, 10821, 1005, 19792, 6135, 1128, 2448, 1675, 2081, 5988, 11, 1187, 7533, 27328, 1005, 1989, 20366, 1323, 6293, 3233, 4039, 1068, 1026, 5333, 20, 1063, 8555, 8285, 1049, 2930, 6079, 2246, 4929, 4592, 1010, 1479, 25321, 71, 6383, 18015, 18107, 22835, 32, 19, 12331, 1178, 10374, 1069, 1005, 1054, 18617, 1069, 5219, 1006, 3940, 4073, 5806, 1006, 8555, 1225, 1009, 1663, 19447, 1006, 9425, 3295, 29, 2944, 1049, 1128, 11840, 1479, 17315, 1043, 13528, 1132, 1456, 7896, 9377, 1005, 31481, 6135, 11203, 7896, 1210, 21771, 7533, 1858, 1006, 8082, 1098, 14037, 2287, 1005, 18909, 4107, 2306, 22669, 1006, 3364, 1187, 23093, 1305, 6242, 1132, 7533, 17604, 1005, 1028, 15343, 1084, 1096, 1989, 6980, 1048, 4319, 1054, 4644, 1067, 14901, 10634, 3192, 1294, 5225, 5694, 1009, 9462, 1006, 8592, 1072, 1901, 1048, 3904, 1175, 5649, 4578, 7214, 1076, 18107, 17505, 4576, 1026, 2283, 1993, 1114, 20645, 1054, 4644, 1067, 3893, 4850, 1060, 12162, 1048, 2601, 18, 1298, 18580, 1054, 5376, 27168, 1392, 1213, 2568, 5098, 26746, 4626, 1312, 1118, 5431, 1525, 17860, 1060, 22626, 29516, 1623, 2464, 2277, 5806, 11645, 22167, 1020, 15595, 1043, 1006, 4270, 2027, 1072, 14330, 1294, 4679, 2864, 2691, 2156, 5298, 7191, 1580, 1118, 10821, 1005, 7438, 1081, 6135, 4644, 15783, 3135, 1005, 2572, 11542, 3606, 4282, 84, 11821, 1138, 4113, 1325, 31197, 1009, 1419, 1124, 1783, 1058, 6329, 1435, 1114, 8592, 18, 1305, 1756, 3890, 1026, 3338, 1068, 1026, 30533, 12151, 5501, 4644, 15783, 4202, 1072, 3439, 4918, 1479, 1244, 1665, 1026, 10731, 3382, 9491, 1819, 2464, 1094, 1472, 1114, 1695, 2069, 1049, 2866, 4547, 3043, 1945, 1009, 16505, 5629, 8317, 1048, 3711, 6326, 5275, 1006, 3450, 1009, 1834, 1187, 10385, 6135, 12151, 2997, 7741, 1006, 13054, 23050, 1048, 1006, 2779, 3241, 7176, 1005, 7562, 1175, 9491, 1802, 4356, 8309, 15, 1, 1683, 12494, 1009, 9330, 1060, 5337, 6748, 1357, 25768, 1472, 1005, 2155, 1068, 3646, 13113, 11, 1175, 11248, 1049, 6956, 1029, 7133, 2547, 1887, 13432, 3758, 2644, 1357, 25768, 1472, 9033, 1006, 22190, 1068, 1026, 4758, 1060, 5337, 5092, 1668, 7313, 1063, 20697, 1068, 1006, 9330, 1049, 23665, 31773, 1106, 29317, 2645, 8182, 15, 1479, 1006, 11954, 1009, 1664, 1132, 8738, 1005, 3140, 12772, 1072, 1908, 1479, 2364, 6748, 1715, 1, 1063, 6068, 6990, 12470, 1048, 1026, 3118, 1104, 13846, 2550, 1123, 60, 11625, 1048, 1836, 5791, 6295, 2271, 9560, 20392, 15, 1114, 8128, 1060, 9649, 3434, 2469, 1114, 2413, 1009, 8277, 25918, 4657, 1009, 1983, 1330, 13617, 1034, 3306, 45, 1349, 3867, 1233, 1863, 4719, 1043, 1026, 2956, 1009, 1764, 4989, 1195, 5413, 1114, 5096, 2429, 9137, 2149, 0, 1565, 5153, 1026, 21125, 8877, 14413, 1060, 5774, 20413, 1060, 7727, 1009, 8277, 25918, 1048, 1043, 4565, 1124, 6444, 1054, 12739, 1026, 10424, 1195, 24342, 1069, 1118, 1044, 26886, 85, 1060, 10502, 14324, 6164, 1006, 7780, 4722, 1060, 1863, 4719, 1365, 6130, 8763, 1005, 1764, 4989, 1566, 1072, 4657, 1009, 1764, 4644, 1842, 12504, 1870, 1048, 11512, 1006, 1764, 3236, 1187, 10348, 2794, 54, 1565, 1776, 2268, 1026, 4316, 1009, 11906, 1060, 1063, 15468, 29128, 1620, 1160, 12470, 1006, 4734, 9003, 1026, 21125, 5774, 20413, 1264, 3661, 1094, 8262, 1009, 7114, 1060, 1134, 5881, 4504, 1157, 1006, 7633, 1060, 14119, 20, 1138, 26886, 85, 4064, 1495, 1026, 2386, 1846, 1048, 1094, 4137, 1195, 16808, 1890, 1044, 10354, 7994, 1017, 17739, 1322, 1006, 2413, 4485, 1159, 15332, 169, 20, 2494, 20688, 1195, 4947, 1044, 20639, 1009, 3357, 1049, 1048, 2909, 1006, 18329, 1045, 1416, 1049, 10424, 20, 2494, 5096, 2429, 13790, 1195, 3330, 1044, 10354, 7994, 1017, 17739, 1072, 8500, 1309, 3121, 1213, 14983, 1557, 3192, 1195, 2419, 2270, 29857, 5738, 1026, 26886, 85, 1060, 1134, 5881, 12161, 1213, 2386, 1005, 2429, 1472, 4713, 24342, 1024, 1005, 16675, 1048, 3711, 1058, 5632, 1049, 3118, 1104, 13846, 3590, 19810, 1233, 9120, 1009, 28936, 1124, 5908, 1054, 3548, 22858, 1094, 16362, 1357, 15200, 19787, 1060, 8128, 1060, 9649, 3434, 1239, 1495, 1026, 2386, 1571, 1325, 1006, 14119, 20, 1063, 9383, 1160, 2909, 2481, 1663, 1026, 17662, 6536, 1100, 1566, 1048, 1006, 2413, 1325, 1198, 20451, 1118, 4208, 1245, 5949, 6771, 1160, 1058, 4337, 1428, 1096, 1026, 2497, 1009, 2926, 1187, 1791, 3842, 1708, 1048, 3586, 1006, 14089, 5613, 28008, 1114, 2413, 1365, 1764, 2434, 1005, 6130, 9577, 1043, 1026, 12906, 1009, 1044, 10424, 11779, 9721, 2400, 10635, 1009, 8308, 3279, 3306, 30212, 1005, 1044, 26886, 85, 1207, 19, 4990, 3845, 1073, 1036, 1126, 1049, 2293, 1009, 15457, 1063, 5980, 8981, 1158, 6169, 4846, 2858, 2068, 1195, 3510, 1140, 1054, 1764, 3236, 1187, 10348, 20, 1138, 5030, 3551, 5259, 1009, 8277, 9953, 4871, 1463, 28008, 1118, 3548, 15342, 1094, 4272, 11477, 18, 1094, 26265, 1009, 31270, 2521, 1026, 20665, 1049, 7604, 1009, 1044, 1187, 3842, 1708, 1049, 10424, 20, 2858, 6550, 1195, 9819, 1069, 1118, 2922, 1271, 24560, 1009, 9560, 20392, 1349, 1114, 2413, 1009, 25225, 1009, 1764, 4644, 1842, 12504, 1870, 4657, 1009, 1764, 3236, 1187, 10348, 1533, 14119, 1516, 9713, 1252, 1140, 1356, 17445, 1009, 2293, 18028, 2794, 11285, 13470, 6848, 5121, 1048, 2922, 1589, 1068, 1006, 1641, 1043, 1026, 5399, 1009, 9850, 10974, 16322, 2529, 6420, 3633, 29227, 1009, 14191, 1065, 10478, 2794, 54, 1565, 1, 1083, 1175, 7524, 3430, 22, 3663, 3541, 2639, 17816, 20, 31607, 3218, 1254, 6507, 1175, 1387, 2130, 1175, 3811, 8785, 1144, 0, 7819, 5871, 30, 21, 7795, 10222, 1022, 15945, 32, 1180, 4043, 4752, 3690, 14014, 1005, 1734, 10222, 1022, 15945, 32, 1180, 4043, 4752, 3690, 1845, 3812, 14987, 1009, 14567, 1009, 1387, 2130, 1750, 91, 4917, 1118, 1180, 1082, 2818, 1067, 17954, 4863, 17960, 1118, 1224, 3300, 6018, 1063, 1067, 2818, 1067, 18, 1054, 10764, 1009, 1082, 17954, 1114, 1428, 1026, 2566, 4434, 1814, 1026, 5496, 1009, 27127, 5565, 2942, 1006, 1235, 7855, 2309, 9511, 1009, 3124, 1005, 3282, 28931, 1114, 10731, 1346, 1009, 1033, 4794, 9801, 10546, 1533, 3635, 5857, 5601, 2757, 1043, 1132, 6638, 1009, 1033, 4794, 9842, 27829, 2098, 1074, 1452, 1132, 9088, 2486, 2565, 1294, 4732, 1049, 2859, 22786, 1049, 7453, 1009, 15873, 20510, 1733, 2060, 1233, 1751, 10719, 15945, 1006, 8377, 7058, 1031, 10164, 5372, 5602, 9545, 4350, 1006, 8239, 1009, 5065 ]

[ 1118, 2073, 3271, 32, 2045, 1033, 3387, 1504, 1419, 95, 1011, 1108, 1930, 11104, 24008, 2604, 1311, 1032, 1341, 3351, 19224, 2186, 2020, 20343, 1124, 2262, 2159, 1011, 8803, 82, 3286, 22052, 3143, 5044, 1050, 6223, 15156, 1160, 1596, 4386, 1010, 3800, 1318, 1537, 4717, 1902, 85, 12166, 1330, 31135, 1, 1063, 4769, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1096, 1094, 2531, 11215, 17440, 1148, 29912, 13742, 1043, 1124, 3145, 4939, 1593, 1242, 17440, 1347, 1060, 18104, 1063, 4809, 1060, 15540, 31031, 16931, 7391, 1049, 4026, 11006, 7802, 1049, 4037, 14056, 2033, 1328, 1060, 2573, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 20, 1482, 17747, 2414, 1026, 11399, 24833, 5303, 7068, 18893, 1043, 21766, 1280, 1009, 2152, 28732, 3933, 8486, 31809, 152, 1060, 9056, 8039, 1049, 4037, 26013, 1482, 5614, 2443, 1026, 25132, 1009, 21766, 5696, 1026, 11399, 24833, 11006, 18, 18893, 1043, 1006, 14555, 5799, 1007, 1009, 2611, 1053, 12288, 1028, 3438, 1060, 9056, 8039, 20, 1063, 2573, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1096, 2551, 1012, 1140, 1043, 7122, 7284, 1049, 4037, 14056, 10877, 13638, 1126, 1365, 2089, 2474, 85, 2753, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 14256, 1839, 15084, 4655, 15, 1257, 15413, 24833, 12726, 5205, 16807, 3989, 1349, 5447, 11742, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1054, 2182, 12430, 1516, 3419, 1009, 16774, 1882, 77, 1009, 4717, 10243, 1362, 1208, 11386, 1089, 81, 1248, 13052, 1276, 6656, 1344, 12853, 14256, 3989, 16807, 5784, 1621, 12534, 11123, 14256, 5784, 16807, 2704, 1349, 1318, 11238, 1009, 4717, 10243, 1362, 1208, 15268, 1130, 1358, 5656, 1276, 7980, 18765, 14256, 2704, 16807, 3990, 1621, 23641, 1344, 12853, 14256, 3990, 2541, 4700, 11913, 1318, 11238, 1009, 4717, 10243, 1362, 1208, 20453, 1590, 13509, 23043, 1276, 18765, 1084, 72, 5990, 1136, 14256, 3990, 2541, 4700, 11913, 1318, 11238, 1009, 4717, 10243, 1362, 1208, 15268, 1130, 1358, 5656, 1276, 11123, 16774, 1882, 77, 2149, 4700, 23, 15084, 3452, 23177, 88, 4712, 10843, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 13328, 4655, 19, 20580, 15, 1257, 6656, 13328, 4655, 15084, 5562, 1621, 23641, 11123, 6656, 13328, 5562, 15084, 4754, 1621, 4243, 6656, 13328, 4754, 14976, 3413, 1621, 24833, 23641, 4243, 9108, 3413, 14976, 4160, 1621, 4243, 6656, 3801, 9108, 4160, 1621, 29729, 1577, 24833, 4644, 15397, 9108, 4160, 3406, 3612, 1621, 24833, 11006, 18765, 4243, 23637, 1061, 2673, 1967, 3612, 3406, 2704, 1621, 13009, 1684, 4787, 29729, 1577, 20894, 2434, 23637, 1061, 2673, 28155, 1017, 1967, 2704, 3406, 4160, 1621, 1344, 12853, 10039, 24833, 6656, 6916, 1482, 2628, 1967, 4160, 10536, 26, 1621, 15413, 13009, 1684, 4787, 10039, 25634, 19, 20580, 1308, 8722, 15897, 22031, 24833, 1344, 12853, 4763, 19479, 1054, 4483, 31913, 1318, 1257, 4769, 1009, 4717, 10243, 1362, 1208, 3296, 2310, 7849, 9867, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1, 9523, 8722, 12880, 12183, 4190, 29964, 5315, 4074, 19098, 18, 3047, 1180, 16156, 10277, 6190, 1096, 1044, 3759, 21005, 1005, 1050, 2060, 2126, 1291, 9046, 18, 4868, 1060, 2828, 21943, 13231, 3996, 2456, 4190, 9048, 1054, 14292, 1114, 2828, 1009, 7677, 23862, 1044, 25628, 1069, 1054, 14367, 1005, 1054, 9689, 1114, 2828, 1123, 1088, 28009, 1044, 15895, 1409, 3777, 2867, 18714, 3306, 4043, 3690, 4437, 9743, 1009, 1044, 4545, 1054, 13664, 1565, 1482, 15138, 9048, 1044, 1082, 24142, 1114, 2828, 21943, 20, 1482, 15138, 9457, 8694, 7687, 1159, 6023, 12590, 1114, 3759, 2404, 1049, 26154, 10196, 7590, 1054, 13313, 3529, 1996, 1009, 1178, 12590, 1009, 3780, 1072, 4632, 2769, 1009, 1387, 21979, 1005, 5311, 6032, 5296, 1087, 10442, 1016, 5469, 3726, 3107, 15, 1187, 13368, 3639, 27515, 1060, 4300, 5469, 47, 31499, 1054, 24907, 1018, 5842, 10360, 3309, 20, 1063, 2323, 1009, 13413, 7687, 1159, 3759, 21005, 1072, 9585, 1062, 27266, 20945, 5469, 6125, 15, 1187, 1144, 47, 46, 1054, 24907, 1018, 12996, 1063, 2323, 1009, 13000, 1195, 4148, 1049, 22225, 1009, 4762, 23480, 1205, 1350, 82, 1005, 4623, 2404, 11762, 20181, 1049, 1144, 6125, 20, 1551, 11865, 1006, 9899, 1195, 4148, 1049, 22225, 1009, 6031, 7409, 1009, 4762, 1066, 92, 6002, 1072, 1592, 1700, 1041, 20690, 1996, 1009, 3524, 1094, 11270, 5134, 1007, 1009, 3759, 2404, 1114, 21943, 3777, 2867, 11529, 20, 3126, 1009, 6911, 1006, 5855, 2670, 1060, 8724, 15372, 1234, 1205, 2060, 2126, 95, 26135, 1005, 18152, 3414, 3643, 23260, 11548, 25402, 1060, 7299, 2769, 1009, 7564, 1187, 2138, 2365, 5961, 10997, 6670, 2976, 1084, 12789, 1763, 78, 1005, 28272, 1119, 5165, 4737, 1171, 1363, 5961, 9742, 25402, 1060, 7299, 1009, 9522, 1005, 7564, 1187, 2138, 2365, 3296, 2310, 1576, 3685, 7536, 12183, 12339, 1082, 24142, 1082, 4043, 17153, 10189, 1683, 2655, 6732, 1053, 1119, 1685, 6898, 1024, 5209, 1062, 27266, 20945, 28430, 1024, 12910, 8275, 4271, 76, 78, 10258, 20, 2705, 12910, 20, 26855, 3929, 1345, 3265, 4536, 1051, 1317, 22346, 4510, 79, 4127, 1576, 3685, 12183, 4190, 15180, 2549, 21943, 3777, 2867, 11529, 14503, 83, 1916, 2705, 12910, 20, 26855, 3929, 1345, 3265, 4536, 1051, 1317, 10396, 1134, 1375, 1237, 1024, 3973, 3160, 24784, 2976, 1084, 12789, 1763, 78, 1005, 28272, 1119, 5165, 4737, 1171, 1363, 12287, 1060, 7299, 2769, 1009, 7564, 1187, 2138, 2365, 12287, 1060, 7299, 1009, 9522, 1005, 7564, 1187, 2138, 2365, 18036, 1060, 2828, 21943, 22802, 1899, 1573, 1187, 2138, 2365, 3576, 2060, 2126, 1573, 1187, 2138, 2365, 1691, 1585, 1391, 1049, 3009, 5678, 1691, 1585, 1391, 1049, 3009, 20992, 14423, 1060, 2828, 21943, 1, 4763, 8094, 11369, 3219, 24055, 17483, 1103, 10372, 1175, 8725, 26046, 1675, 1009, 3383, 1009, 8029, 1349, 3201, 1159, 1123, 168, 5705, 12759, 1096, 1044, 4530, 1009, 3246, 1048, 13234, 1072, 1387, 1067, 4699, 11779, 1159, 21525, 5046, 3427, 11165, 1054, 8258, 3888, 3723, 1264, 5759, 1006, 5286, 1049, 6790, 7381, 13642, 11165, 1054, 1387, 1103, 10372, 1479, 8725, 26046, 19882, 2339, 3032, 1009, 14045, 2258, 10828, 1446, 74, 8107, 1123, 168, 5705, 168, 9239, 1054, 2539, 8521, 1511, 3148, 4830, 1138, 1235, 1831, 1807, 3330, 1048, 5857, 8953, 3256, 1006, 1224, 3560, 1195, 3552, 5618, 1365, 1026, 8725, 12089, 1005, 1026, 28908, 4341, 76, 3336, 6836, 1049, 4346, 26983, 1069, 1261, 20206, 1069, 1026, 8725, 12089, 1118, 1094, 5267, 16137, 1123, 168, 5705, 168, 2569, 1094, 8568, 2204, 8342, 1570, 2865, 1026, 3872, 2933, 85, 1049, 8725, 12089, 5645, 20153, 22001, 1009, 10000, 2485, 1006, 2596, 21936, 1159, 25905, 19962, 1026, 2933, 85, 8171, 1132, 7660, 11141, 4501, 9168, 1048, 1072, 2803, 1049, 2933, 1100, 1123, 168, 5705, 168, 4018, 1032, 1379, 1048, 1026, 19630, 17268, 1006, 26223, 1076, 3433, 20, 1776, 28908, 19630, 3475, 3179, 3251, 1557, 22083, 2200, 2521, 1224, 6559, 22922, 1043, 1026, 11779, 1134, 23829, 1114, 4886, 1863, 9969, 18133, 1006, 3337, 2511, 1068, 2924, 2759, 4666, 3319, 18, 1026, 11779, 23713, 1387, 7761, 4404, 2646, 2286, 2992, 1009, 7218, 1123, 168, 5705, 168, 4454, 1026, 1235, 1908, 11763, 1005, 12132, 1356, 1387, 16479, 2903, 11779, 1072, 3391, 3144, 2200, 8171, 1235, 1831, 2933, 1717, 1026, 1387, 15384, 1052, 1041, 12706, 1065, 11779, 1054, 9842, 1009, 2992, 1009, 7057, 1309, 1054, 1094, 9348, 1101, 8741, 1658, 6080, 2433, 1054, 1657, 4234, 9297, 1054, 1224, 1944, 3337, 29262, 1005, 1224, 2759, 1318, 1195, 13836, 1140, 1060, 4223, 8193, 1809, 7011, 8544, 26687, 2200, 1058, 17617, 1006, 2759, 1049, 1387, 1067, 4699, 11779, 1054, 3973, 2170, 1986, 1224, 2467, 2166, 9923, 1235, 4961, 1054, 6534, 1356, 4478, 3267, 1049, 3391, 3144, 2200, 8171, 1357, 1944, 1472, 1072, 7248, 1068, 1006, 2759, 1009, 4653, 2006, 1136, 8201, 1054, 2224, 1009, 3049, 8152, 4183, 21181, 1068, 1094, 18241, 1346, 1009, 1799, 3541, 1054, 2573, 1049, 2858, 83, 2915, 1029, 11779, 5682, 168, 5705, 168, 2521, 1224, 6559, 1357, 6790, 1054, 3939, 1009, 9864, 1009, 6747, 1006, 2323, 1009, 1094, 5943, 26301, 1559, 7045, 1006, 5310, 1068, 1132, 4053, 9716, 5488, 11389, 5465, 21910, 3242, 5268, 6842, 1537, 1063, 2323, 1009, 3404, 1009, 3049, 1009, 4161, 5436, 10685, 1049, 6790, 1096, 6344, 1140, 19198, 1006, 5987, 1009, 10685, 9083, 1006, 10685, 1986, 1752, 2933, 1009, 1123, 168, 5705, 168, 2548, 4742, 3296, 27224, 1537, 22120, 1009, 4223, 57, 50, 1257, 675, 10267, 11550, 1054, 8029, 6577, 1009, 19882, 1007, 5427, 1009, 3032, 5919, 3014, 4901, 1009, 14045, 2258, 10828, 1446, 74, 2860, 5427, 1049, 6790, 5427, 1049, 1387, 4134, 4699, 19079, 29749, 1049, 1387, 3840, 78, 2903, 19079, 29749, 1049, 17764, 6120, 1134, 23829, 9514, 1060, 6974, 6790, 2860, 1009, 4718, 5427, 1060, 3595, 1060, 11944, 1009, 4229, 9514, 1060, 3595, 3836, 1009, 4229, 9514, 1060, 3595, 8219, 1060, 27340, 4517, 11722, 1009, 4579, 9514, 1060, 3595, 1049, 4819, 9716, 1009, 6391, 1, 3474, 28564, 91, 1096, 1044, 3077, 1009, 2042, 1054, 14456, 12194, 2309, 6353, 2955, 11242, 29344, 1005, 9768, 79, 1005, 6342, 1054, 4161, 1357, 12948, 6883, 1179, 2275, 1138, 3066, 1195, 5447, 1006, 2323, 1009, 1094, 3513, 14112, 6043, 2344, 1140, 2309, 1791, 3361, 5783, 1048, 22368, 1118, 2156, 7082, 2256, 6353, 1114, 4769, 1049, 4153, 18, 5530, 9421, 1009, 12731, 1196, 12731, 1042, 20, 5845, 1668, 12381, 1132, 6353, 26168, 8312, 1114, 4173, 1009, 3425, 13670, 1005, 3986, 1273, 16435, 23961, 1090, 9363, 1048, 22368, 10244, 12802, 29918, 26403, 1005, 12337, 5044, 6353, 1048, 12602, 1060, 9421, 1596, 1132, 7178, 9535, 1047, 2079, 9213, 2106, 10143, 1163, 168, 1400, 1924, 9711, 24389, 26878, 12616, 2351, 18913, 1142, 3496, 1400, 18995, 1972, 96, 2037, 4763, 12210, 1005, 12083, 1067, 1961, 1006, 22985, 2860, 12300, 1632, 3728, 1005, 1026, 12984, 4790, 1056, 2878, 1079, 2450, 20, 1063, 3536, 29170, 1009, 3474, 28564, 91, 1620, 7312, 1043, 1006, 10638, 1009, 1734, 16119, 1005, 6353, 32, 8026, 2242, 13792, 84, 12312, 17205, 28644, 17875, 15354, 5315, 3446, 18641, 1870, 7378, 4523, 12433, 13470, 11308, 82, 2450, 18, 21202, 2358, 2839, 1803, 13055, 18217, 1379, 1162, 1005, 2079, 1171, 31016, 79, 5436, 5009, 1060, 1613, 8392, 2286, 6813, 1026, 3077, 4857, 1026, 22281, 1207, 55, 16818, 1114, 4783, 5813, 1739, 7922, 15689, 1406, 11870, 1069, 1043, 1006, 1207, 55, 5714, 3624, 79, 4110, 5682, 1104, 6290, 13269, 1049, 1561, 1605, 9432, 2734, 7332, 1049, 22281, 1207, 55, 16818, 1, 1163, 1648, 72, 3624, 1291, 10056, 5581, 2149, 4655, 24, 1175, 2128, 1009, 3403, 1009, 21969, 7362, 1195, 18161, 1060, 4482, 10708, 1009, 2182, 4332, 1006, 2128, 13690, 17331, 1874, 1060, 1834, 1005, 3560, 20699, 1648, 72, 3624, 1291, 10056, 5581, 5810, 1054, 27873, 1054, 28425, 2084, 1026, 2277, 3419, 1009, 6339, 1458, 10056, 5581, 1005, 16859, 19896, 3158, 4490, 1801, 12759, 16859, 27176, 6376, 1803, 1516, 7668, 1049, 8985, 10039, 20644, 20, 1537, 7281, 1195, 3181, 1069, 1114, 2828, 1009, 29239, 1297, 1126, 12502, 1044, 6023, 1009, 9389, 1124, 8533, 2124, 1537, 7281, 1058, 4312, 1044, 26106, 5831, 1060, 17162, 1009, 29239, 1297, 71, 1054, 1094, 5293, 24036, 20, 4567, 1060, 11518, 1009, 19390, 17307, 1068, 8941, 1068, 1058, 4531, 1587, 5997, 1037, 1304, 1060, 17004, 1921, 21598, 6710, 2124, 4634, 3232, 5749, 6615, 1271, 4761, 1009, 9535, 1199, 2095, 2457, 2478, 1078, 2526, 2457, 1134, 1209, 1021, 2578, 2457, 6539, 1014, 2005, 1005, 4557, 1153, 1076, 2124, 2200, 2276, 3475, 1006, 1178, 1026, 6615, 1060, 19635, 1009, 5189, 1165, 1692, 1005, 1570, 1041, 2341, 2457, 2858, 72, 1199, 1005, 1006, 1570, 3208, 1009, 2376, 1469, 71, 2124, 26953, 1529, 5581, 3661, 1124, 13463, 7314, 1054, 1782, 1009, 3042, 1009, 2182, 8053, 33, 5749, 1044, 1681, 12032, 150, 1469, 85, 1054, 2224, 1009, 3042, 1009, 2182, 8053, 33, 1005, 1195, 3330, 1044, 2129, 150, 1469, 85, 1054, 1204, 1009, 3042, 31176, 2308, 2200, 1195, 23396, 1213, 5418, 10990, 5397, 1054, 3186, 1009, 3042, 1009, 31176, 2308, 7650, 1984, 1009, 2436, 1009, 31176, 2471, 1006, 27658, 1060, 17162, 1009, 5837, 30182, 1026, 27352, 10629, 1009, 5837, 30182, 2124, 2200, 1195, 13005, 1905, 1159, 10629, 1356, 18161, 21832, 10061, 31827, 1051, 12282, 1054, 3186, 1009, 2436, 1009, 2182, 5205, 2474, 1528, 1453, 1458, 3705, 20160, 84, 2526, 1009, 10056, 13305, 1026, 15110, 10039, 20644, 2457, 17803, 5193, 18161, 7778, 1009, 2956, 1054, 3268, 1009, 31176, 3537, 1138, 15110, 2521, 3615, 18161, 24759, 1072, 8244, 1939, 1009, 2523, 1009, 3403, 1009, 31186, 3211, 1482, 1782, 1009, 3149, 1009, 31186, 2041, 3661, 1026, 20082, 9601, 1005, 1006, 6661, 8977, 1009, 4833, 21479, 3400, 1054, 6459, 6569, 7151, 2124, 2200, 1195, 3330, 9594, 2620, 1029, 1006, 10305, 1468, 1054, 3734, 1009, 3042, 1009, 31186, 3211, 4395, 3199, 1006, 3248, 1009, 10039, 14217, 5529, 10056, 5581, 6580, 1049, 1572, 27638, 2620 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2073, 3271, 32, 2045, 1033, 3387, 1504, 1419, 95, 1011, 1108, 1930, 11104, 24008, 2604, 1311, 1032, 1341, 3351, 19224, 2186, 2020, 20343, 1124, 2262, 2159, 1011, 8803, 82, 3286, 22052, 3143, 5044, 1050, 6223, 15156, 1160, 1596, 4386, 1010, 3800, 1318, 1537, 4717, 1902, 85, 12166, 1330, 31135, 1, 1063, 4769, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1096, 1094, 2531, 11215, 17440, 1148, 29912, 13742, 1043, 1124, 3145, 4939, 1593, 1242, 17440, 1347, 1060, 18104, 1063, 4809, 1060, 15540, 31031, 16931, 7391, 1049, 4026, 11006, 7802, 1049, 4037, 14056, 2033, 1328, 1060, 2573, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 20, 1482, 17747, 2414, 1026, 11399, 24833, 5303, 7068, 18893, 1043, 21766, 1280, 1009, 2152, 28732, 3933, 8486, 31809, 152, 1060, 9056, 8039, 1049, 4037, 26013, 1482, 5614, 2443, 1026, 25132, 1009, 21766, 5696, 1026, 11399, 24833, 11006, 18, 18893, 1043, 1006, 14555, 5799, 1007, 1009, 2611, 1053, 12288, 1028, 3438, 1060, 9056, 8039, 20, 1063, 2573, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1096, 2551, 1012, 1140, 1043, 7122, 7284, 1049, 4037, 14056, 10877, 13638, 1126, 1365, 2089, 2474, 85, 2753, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 14256, 1839, 15084, 4655, 15, 1257, 15413, 24833, 12726, 5205, 16807, 3989, 1349, 5447, 11742, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1054, 2182, 12430, 1516, 3419, 1009, 16774, 1882, 77, 1009, 4717, 10243, 1362, 1208, 11386, 1089, 81, 1248, 13052, 1276, 6656, 1344, 12853, 14256, 3989, 16807, 5784, 1621, 12534, 11123, 14256, 5784, 16807, 2704, 1349, 1318, 11238, 1009, 4717, 10243, 1362, 1208, 15268, 1130, 1358, 5656, 1276, 7980, 18765, 14256, 2704, 16807, 3990, 1621, 23641, 1344, 12853, 14256, 3990, 2541, 4700, 11913, 1318, 11238, 1009, 4717, 10243, 1362, 1208, 20453, 1590, 13509, 23043, 1276, 18765, 1084, 72, 5990, 1136, 14256, 3990, 2541, 4700, 11913, 1318, 11238, 1009, 4717, 10243, 1362, 1208, 15268, 1130, 1358, 5656, 1276, 11123, 16774, 1882, 77, 2149, 4700, 23, 15084, 3452, 23177, 88, 4712, 10843, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 13328, 4655, 19, 20580, 15, 1257, 6656, 13328, 4655, 15084, 5562, 1621, 23641, 11123, 6656, 13328, 5562, 15084, 4754, 1621, 4243, 6656, 13328, 4754, 14976, 3413, 1621, 24833, 23641, 4243, 9108, 3413, 14976, 4160, 1621, 4243, 6656, 3801, 9108, 4160, 1621, 29729, 1577, 24833, 4644, 15397, 9108, 4160, 3406, 3612, 1621, 24833, 11006, 18765, 4243, 23637, 1061, 2673, 1967, 3612, 3406, 2704, 1621, 13009, 1684, 4787, 29729, 1577, 20894, 2434, 23637, 1061, 2673, 28155, 1017, 1967, 2704, 3406, 4160, 1621, 1344, 12853, 10039, 24833, 6656, 6916, 1482, 2628, 1967, 4160, 10536, 26, 1621, 15413, 13009, 1684, 4787, 10039, 25634, 19, 20580, 1308, 8722, 15897, 22031, 24833, 1344, 12853, 4763, 19479, 1054, 4483, 31913, 1318, 1257, 4769, 1009, 4717, 10243, 1362, 1208, 3296, 2310, 7849, 9867, 1009, 4717, 10243, 1362, 1208, 5537, 2077, 15813, 1, 9523, 8722, 12880, 12183, 4190, 29964, 5315, 4074, 19098, 18, 3047, 1180, 16156, 10277, 6190, 1096, 1044, 3759, 21005, 1005, 1050, 2060, 2126, 1291, 9046, 18, 4868, 1060, 2828, 21943, 13231, 3996, 2456, 4190, 9048, 1054, 14292, 1114, 2828, 1009, 7677, 23862, 1044, 25628, 1069, 1054, 14367, 1005, 1054, 9689, 1114, 2828, 1123, 1088, 28009, 1044, 15895, 1409, 3777, 2867, 18714, 3306, 4043, 3690, 4437, 9743, 1009, 1044, 4545, 1054, 13664, 1565, 1482, 15138, 9048, 1044, 1082, 24142, 1114, 2828, 21943, 20, 1482, 15138, 9457, 8694, 7687, 1159, 6023, 12590, 1114, 3759, 2404, 1049, 26154, 10196, 7590, 1054, 13313, 3529, 1996, 1009, 1178, 12590, 1009, 3780, 1072, 4632, 2769, 1009, 1387, 21979, 1005, 5311, 6032, 5296, 1087, 10442, 1016, 5469, 3726, 3107, 15, 1187, 13368, 3639, 27515, 1060, 4300, 5469, 47, 31499, 1054, 24907, 1018, 5842, 10360, 3309, 20, 1063, 2323, 1009, 13413, 7687, 1159, 3759, 21005, 1072, 9585, 1062, 27266, 20945, 5469, 6125, 15, 1187, 1144, 47, 46, 1054, 24907, 1018, 12996, 1063, 2323, 1009, 13000, 1195, 4148, 1049, 22225, 1009, 4762, 23480, 1205, 1350, 82, 1005, 4623, 2404, 11762, 20181, 1049, 1144, 6125, 20, 1551, 11865, 1006, 9899, 1195, 4148, 1049, 22225, 1009, 6031, 7409, 1009, 4762, 1066, 92, 6002, 1072, 1592, 1700, 1041, 20690, 1996, 1009, 3524, 1094, 11270, 5134, 1007, 1009, 3759, 2404, 1114, 21943, 3777, 2867, 11529, 20, 3126, 1009, 6911, 1006, 5855, 2670, 1060, 8724, 15372, 1234, 1205, 2060, 2126, 95, 26135, 1005, 18152, 3414, 3643, 23260, 11548, 25402, 1060, 7299, 2769, 1009, 7564, 1187, 2138, 2365, 5961, 10997, 6670, 2976, 1084, 12789, 1763, 78, 1005, 28272, 1119, 5165, 4737, 1171, 1363, 5961, 9742, 25402, 1060, 7299, 1009, 9522, 1005, 7564, 1187, 2138, 2365, 3296, 2310, 1576, 3685, 7536, 12183, 12339, 1082, 24142, 1082, 4043, 17153, 10189, 1683, 2655, 6732, 1053, 1119, 1685, 6898, 1024, 5209, 1062, 27266, 20945, 28430, 1024, 12910, 8275, 4271, 76, 78, 10258, 20, 2705, 12910, 20, 26855, 3929, 1345, 3265, 4536, 1051, 1317, 22346, 4510, 79, 4127, 1576, 3685, 12183, 4190, 15180, 2549, 21943, 3777, 2867, 11529, 14503, 83, 1916, 2705, 12910, 20, 26855, 3929, 1345, 3265, 4536, 1051, 1317, 10396, 1134, 1375, 1237, 1024, 3973, 3160, 24784, 2976, 1084, 12789, 1763, 78, 1005, 28272, 1119, 5165, 4737, 1171, 1363, 12287, 1060, 7299, 2769, 1009, 7564, 1187, 2138, 2365, 12287, 1060, 7299, 1009, 9522, 1005, 7564, 1187, 2138, 2365, 18036, 1060, 2828, 21943, 22802, 1899, 1573, 1187, 2138, 2365, 3576, 2060, 2126, 1573, 1187, 2138, 2365, 1691, 1585, 1391, 1049, 3009, 5678, 1691, 1585, 1391, 1049, 3009, 20992, 14423, 1060, 2828, 21943, 1, 4763, 8094, 11369, 3219, 24055, 17483, 1103, 10372, 1175, 8725, 26046, 1675, 1009, 3383, 1009, 8029, 1349, 3201, 1159, 1123, 168, 5705, 12759, 1096, 1044, 4530, 1009, 3246, 1048, 13234, 1072, 1387, 1067, 4699, 11779, 1159, 21525, 5046, 3427, 11165, 1054, 8258, 3888, 3723, 1264, 5759, 1006, 5286, 1049, 6790, 7381, 13642, 11165, 1054, 1387, 1103, 10372, 1479, 8725, 26046, 19882, 2339, 3032, 1009, 14045, 2258, 10828, 1446, 74, 8107, 1123, 168, 5705, 168, 9239, 1054, 2539, 8521, 1511, 3148, 4830, 1138, 1235, 1831, 1807, 3330, 1048, 5857, 8953, 3256, 1006, 1224, 3560, 1195, 3552, 5618, 1365, 1026, 8725, 12089, 1005, 1026, 28908, 4341, 76, 3336, 6836, 1049, 4346, 26983, 1069, 1261, 20206, 1069, 1026, 8725, 12089, 1118, 1094, 5267, 16137, 1123, 168, 5705, 168, 2569, 1094, 8568, 2204, 8342, 1570, 2865, 1026, 3872, 2933, 85, 1049, 8725, 12089, 5645, 20153, 22001, 1009, 10000, 2485, 1006, 2596, 21936, 1159, 25905, 19962, 1026, 2933, 85, 8171, 1132, 7660, 11141, 4501, 9168, 1048, 1072, 2803, 1049, 2933, 1100, 1123, 168, 5705, 168, 4018, 1032, 1379, 1048, 1026, 19630, 17268, 1006, 26223, 1076, 3433, 20, 1776, 28908, 19630, 3475, 3179, 3251, 1557, 22083, 2200, 2521, 1224, 6559, 22922, 1043, 1026, 11779, 1134, 23829, 1114, 4886, 1863, 9969, 18133, 1006, 3337, 2511, 1068, 2924, 2759, 4666, 3319, 18, 1026, 11779, 23713, 1387, 7761, 4404, 2646, 2286, 2992, 1009, 7218, 1123, 168, 5705, 168, 4454, 1026, 1235, 1908, 11763, 1005, 12132, 1356, 1387, 16479, 2903, 11779, 1072, 3391, 3144, 2200, 8171, 1235, 1831, 2933, 1717, 1026, 1387, 15384, 1052, 1041, 12706, 1065, 11779, 1054, 9842, 1009, 2992, 1009, 7057, 1309, 1054, 1094, 9348, 1101, 8741, 1658, 6080, 2433, 1054, 1657, 4234, 9297, 1054, 1224, 1944, 3337, 29262, 1005, 1224, 2759, 1318, 1195, 13836, 1140, 1060, 4223, 8193, 1809, 7011, 8544, 26687, 2200, 1058, 17617, 1006, 2759, 1049, 1387, 1067, 4699, 11779, 1054, 3973, 2170, 1986, 1224, 2467, 2166, 9923, 1235, 4961, 1054, 6534, 1356, 4478, 3267, 1049, 3391, 3144, 2200, 8171, 1357, 1944, 1472, 1072, 7248, 1068, 1006, 2759, 1009, 4653, 2006, 1136, 8201, 1054, 2224, 1009, 3049, 8152, 4183, 21181, 1068, 1094, 18241, 1346, 1009, 1799, 3541, 1054, 2573, 1049, 2858, 83, 2915, 1029, 11779, 5682, 168, 5705, 168, 2521, 1224, 6559, 1357, 6790, 1054, 3939, 1009, 9864, 1009, 6747, 1006, 2323, 1009, 1094, 5943, 26301, 1559, 7045, 1006, 5310, 1068, 1132, 4053, 9716, 5488, 11389, 5465, 21910, 3242, 5268, 6842, 1537, 1063, 2323, 1009, 3404, 1009, 3049, 1009, 4161, 5436, 10685, 1049, 6790, 1096, 6344, 1140, 19198, 1006, 5987, 1009, 10685, 9083, 1006, 10685, 1986, 1752, 2933, 1009, 1123, 168, 5705, 168, 2548, 4742, 3296, 27224, 1537, 22120, 1009, 4223, 57, 50, 1257, 675, 10267, 11550, 1054, 8029, 6577, 1009, 19882, 1007, 5427, 1009, 3032, 5919, 3014, 4901, 1009, 14045, 2258, 10828, 1446, 74, 2860, 5427, 1049, 6790, 5427, 1049, 1387, 4134, 4699, 19079, 29749, 1049, 1387, 3840, 78, 2903, 19079, 29749, 1049, 17764, 6120, 1134, 23829, 9514, 1060, 6974, 6790, 2860, 1009, 4718, 5427, 1060, 3595, 1060, 11944, 1009, 4229, 9514, 1060, 3595, 3836, 1009, 4229, 9514, 1060, 3595, 8219, 1060, 27340, 4517, 11722, 1009, 4579, 9514, 1060, 3595, 1049, 4819, 9716, 1009, 6391, 1, 3474, 28564, 91, 1096, 1044, 3077, 1009, 2042, 1054, 14456, 12194, 2309, 6353, 2955, 11242, 29344, 1005, 9768, 79, 1005, 6342, 1054, 4161, 1357, 12948, 6883, 1179, 2275, 1138, 3066, 1195, 5447, 1006, 2323, 1009, 1094, 3513, 14112, 6043, 2344, 1140, 2309, 1791, 3361, 5783, 1048, 22368, 1118, 2156, 7082, 2256, 6353, 1114, 4769, 1049, 4153, 18, 5530, 9421, 1009, 12731, 1196, 12731, 1042, 20, 5845, 1668, 12381, 1132, 6353, 26168, 8312, 1114, 4173, 1009, 3425, 13670, 1005, 3986, 1273, 16435, 23961, 1090, 9363, 1048, 22368, 10244, 12802, 29918, 26403, 1005, 12337, 5044, 6353, 1048, 12602, 1060, 9421, 1596, 1132, 7178, 9535, 1047, 2079, 9213, 2106, 10143, 1163, 168, 1400, 1924, 9711, 24389, 26878, 12616, 2351, 18913, 1142, 3496, 1400, 18995, 1972, 96, 2037, 4763, 12210, 1005, 12083, 1067, 1961, 1006, 22985, 2860, 12300, 1632, 3728, 1005, 1026, 12984, 4790, 1056, 2878, 1079, 2450, 20, 1063, 3536, 29170, 1009, 3474, 28564, 91, 1620, 7312, 1043, 1006, 10638, 1009, 1734, 16119, 1005, 6353, 32, 8026, 2242, 13792, 84, 12312, 17205, 28644, 17875, 15354, 5315, 3446, 18641, 1870, 7378, 4523, 12433, 13470, 11308, 82, 2450, 18, 21202, 2358, 2839, 1803, 13055, 18217, 1379, 1162, 1005, 2079, 1171, 31016, 79, 5436, 5009, 1060, 1613, 8392, 2286, 6813, 1026, 3077, 4857, 1026, 22281, 1207, 55, 16818, 1114, 4783, 5813, 1739, 7922, 15689, 1406, 11870, 1069, 1043, 1006, 1207, 55, 5714, 3624, 79, 4110, 5682, 1104, 6290, 13269, 1049, 1561, 1605, 9432, 2734, 7332, 1049, 22281, 1207, 55, 16818, 1, 1163, 1648, 72, 3624, 1291, 10056, 5581, 2149, 4655, 24, 1175, 2128, 1009, 3403, 1009, 21969, 7362, 1195, 18161, 1060, 4482, 10708, 1009, 2182, 4332, 1006, 2128, 13690, 17331, 1874, 1060, 1834, 1005, 3560, 20699, 1648, 72, 3624, 1291, 10056, 5581, 5810, 1054, 27873, 1054, 28425, 2084, 1026, 2277, 3419, 1009, 6339, 1458, 10056, 5581, 1005, 16859, 19896, 3158, 4490, 1801, 12759, 16859, 27176, 6376, 1803, 1516, 7668, 1049, 8985, 10039, 20644, 20, 1537, 7281, 1195, 3181, 1069, 1114, 2828, 1009, 29239, 1297, 1126, 12502, 1044, 6023, 1009, 9389, 1124, 8533, 2124, 1537, 7281, 1058, 4312, 1044, 26106, 5831, 1060, 17162, 1009, 29239, 1297, 71, 1054, 1094, 5293, 24036, 20, 4567, 1060, 11518, 1009, 19390, 17307, 1068, 8941, 1068, 1058, 4531, 1587, 5997, 1037, 1304, 1060, 17004, 1921, 21598, 6710, 2124, 4634, 3232, 5749, 6615, 1271, 4761, 1009, 9535, 1199, 2095, 2457, 2478, 1078, 2526, 2457, 1134, 1209, 1021, 2578, 2457, 6539, 1014, 2005, 1005, 4557, 1153, 1076, 2124, 2200, 2276, 3475, 1006, 1178, 1026, 6615, 1060, 19635, 1009, 5189, 1165, 1692, 1005, 1570, 1041, 2341, 2457, 2858, 72, 1199, 1005, 1006, 1570, 3208, 1009, 2376, 1469, 71, 2124, 26953, 1529, 5581, 3661, 1124, 13463, 7314, 1054, 1782, 1009, 3042, 1009, 2182, 8053, 33, 5749, 1044, 1681, 12032, 150, 1469, 85, 1054, 2224, 1009, 3042, 1009, 2182, 8053, 33, 1005, 1195, 3330, 1044, 2129, 150, 1469, 85, 1054, 1204, 1009, 3042, 31176, 2308, 2200, 1195, 23396, 1213, 5418, 10990, 5397, 1054, 3186, 1009, 3042, 1009, 31176, 2308, 7650, 1984, 1009, 2436, 1009, 31176, 2471, 1006, 27658, 1060, 17162, 1009, 5837, 30182, 1026, 27352, 10629, 1009, 5837, 30182, 2124, 2200, 1195, 13005, 1905, 1159, 10629, 1356, 18161, 21832, 10061, 31827, 1051, 12282, 1054, 3186, 1009, 2436, 1009, 2182, 5205, 2474, 1528, 1453, 1458, 3705, 20160, 84, 2526, 1009, 10056, 13305, 1026, 15110, 10039, 20644, 2457, 17803, 5193, 18161, 7778, 1009, 2956, 1054, 3268, 1009, 31176, 3537, 1138, 15110, 2521, 3615, 18161, 24759, 1072, 8244, 1939, 1009, 2523, 1009, 3403, 1009, 31186, 3211, 1482, 1782, 1009, 3149, 1009, 31186, 2041, 3661, 1026, 20082, 9601, 1005, 1006, 6661, 8977, 1009, 4833, 21479, 3400, 1054, 6459, 6569, 7151, 2124, 2200, 1195, 3330, 9594, 2620, 1029, 1006, 10305, 1468, 1054, 3734, 1009, 3042, 1009, 31186, 3211, 4395, 3199, 1006, 3248, 1009, 10039, 14217, 5529, 10056, 5581, 6580, 1049, 1572, 27638, 2620 ]

[ 18960, 1273, 11132, 1072, 4657, 1009, 1594, 14839, 2402, 1114, 1868, 2570, 2275, 1138, 1807, 3330, 1009, 1142, 9857, 84, 11211, 1195, 5115, 3880, 10577, 2252, 6546, 8804, 8426, 3552, 3964, 12254, 3031, 1145, 1009, 19716, 25613, 20, 1972, 1026, 5654, 10661, 27268, 20248, 1271, 8804, 15293, 1580, 1005, 13236, 2088, 23848, 1060, 1224, 3486, 13460, 28174, 1009, 1101, 11, 1049, 3225, 17598, 1944, 3536, 1060, 3733, 1175, 7001, 20012, 1159, 1006, 9220, 3089, 16921, 1367, 3691, 8, 1175, 1195, 8858, 1054, 14663, 2639, 1063, 2750, 18658, 1048, 11009, 6958, 8111, 18459, 1068, 3886, 15, 1005, 25204, 26755, 1006, 12254, 8399, 3018, 1205, 153, 1021, 153, 83, 171, 1021, 1051, 6733, 1009, 1178, 1044, 9865, 1005, 1006, 8161, 1060, 4173, 1049, 1784, 1096, 2364, 20536, 1006, 11979, 1357, 1224, 12902, 1006, 19935, 96, 1623, 1049, 1238, 4790, 83, 8193, 1349, 1195, 8858, 1054, 1578, 5900, 1879, 7326, 7622, 1124, 18186, 6700, 1009, 2539, 21986, 1025, 12851, 2173, 18960, 13317, 1205, 153, 1021, 153, 83, 171, 1021, 3933, 1026, 1080, 20372, 4790, 4013, 1021, 3933, 1026, 2425, 2767, 1005, 4383, 1498, 81, 153, 1021, 3933, 1044, 1025, 2575, 1009, 16035, 1398, 1018, 1005, 6339, 12127, 2173, 3309, 9041, 1005, 1009, 1344, 4027, 1512, 1100, 1044, 12128, 2048, 7323, 1009, 5675, 22818, 3617, 2858, 5054, 14190, 1526, 1049, 3031, 1221, 1096, 1006, 2869, 1365, 16921, 1367, 3691, 5436, 3548, 1009, 16921, 1367, 8392, 1005, 5226, 78, 80, 3728, 5436, 3548, 1049, 10519, 1118, 2624, 1125, 1252, 1140, 1043, 1006, 24210, 12222, 20192, 7326, 1114, 1224, 1871, 1009, 1578, 5900, 24576, 1009, 3886, 2832, 1554, 4083, 4181, 2971, 2832, 1229, 1846, 1009, 1094, 5360, 1582, 1060, 4173, 1049, 1784, 1005, 1049, 9407, 1009, 1205, 153, 1021, 153, 83, 171, 1021, 3933, 1132, 2125, 21986, 1060, 16921, 1367, 3691, 8126, 153, 1021, 153, 83, 171, 1021, 3933, 4790, 4013, 1021, 1051, 1005, 4383, 1498, 81, 153, 1021, 1051, 15, 4793, 1046, 4270, 3628, 1006, 5226, 78, 80, 13140, 7245, 24459, 1006, 5380, 1009, 5023, 78, 1803, 18526, 1060, 5226, 78, 80, 30344, 4790, 4013, 1021, 1051, 1234, 1420, 1026, 4948, 1162, 14278, 24620, 1329, 12839, 1048, 3312, 31658, 1006, 2306, 1026, 3134, 15, 1159, 1751, 1271, 4034, 1068, 5587, 1006, 4786, 1060, 5380, 1009, 5023, 78, 1803, 1043, 2306, 6736, 1058, 10007, 4083, 9354, 2971, 2832, 1229, 1006, 2869, 1365, 16921, 1367, 3691, 1005, 5226, 78, 80, 3728, 14061, 10233, 1061, 1005, 1132, 21986, 1060, 16921, 1367, 3691, 6989, 1046, 1026, 4948, 1162, 1006, 5226, 78, 80, 13140, 1213, 1048, 1058, 6856, 1094, 3781, 1357, 1224, 8894, 20, 1482, 10882, 1009, 12254, 13177, 1029, 2166, 1006, 2042, 22818, 1145, 1009, 1344, 4027, 15039, 1096, 1201, 3567, 1138, 7326, 7917, 1043, 1026, 1852, 1060, 1516, 1025, 5803, 2173, 18960, 1126, 14937, 4917, 1357, 8685, 1009, 1044, 2017, 9865, 2663, 88, 2575, 15, 1005, 1114, 5618, 1009, 1205, 153, 1021, 153, 83, 171, 1021, 1051, 1658, 11244, 21517, 1044, 3129, 14190, 1526, 1114, 12254, 1005, 1664, 1132, 21986, 2643, 11262, 8117, 1391, 1009, 1702, 2446, 20, 1063, 11244, 1114, 16921, 1367, 3691, 1325, 23061, 2852, 2166, 1592, 1125, 1252, 2166, 1043, 1006, 2179, 2762, 1006, 5133, 1005, 1026, 4318, 32, 1205, 153, 1021, 153, 83, 171, 1021, 3933, 1118, 3018, 6071, 1634, 1105, 1203, 3240, 1080, 20372, 1025, 3763, 1005, 4802, 4475, 2494, 16921, 1367, 3691, 5574, 1094, 3616, 1096, 2832, 8357, 1005, 1261, 11262, 1322, 1687, 2286, 4732, 1598, 2565, 1006, 16921, 1367, 3691, 1160, 4955, 15364, 1009, 1090, 11374, 1400, 3048, 19901, 1377, 1766, 23848, 1327, 1738, 2184, 89, 1690, 1182, 1010, 1005, 15662, 1009, 1094, 6406, 1009, 1015, 1690, 1182, 1016, 14757, 1005, 1015, 1690, 1182, 1016, 20631, 4270, 3273, 12012, 1752, 23559, 1118, 1094, 1015, 1690, 11235, 4680, 1005, 2697, 1157, 3552, 1015, 1690, 11235, 9636, 5044, 23848, 1327, 23061, 3191, 11103, 78, 1166, 1054, 1004, 30475, 1187, 2688, 1026, 2277, 7080, 18013, 1094, 14852, 1049, 7856, 1049, 1831, 1658, 16921, 1367, 3691, 2569, 1044, 2512, 3129, 1072, 3090, 1049, 3267, 1876, 2173, 15202, 1048, 6736, 22402, 1006, 24162, 1233, 11468, 1060, 7500, 1054, 22653, 3242, 14869, 3425, 1049, 9171, 2173, 15202, 8528, 27645, 1045, 5764, 1596, 2862, 2905, 1054, 7002, 1060, 16921, 1367, 3691, 9414, 10893, 10677, 1054, 4894, 1195, 8858, 1054, 4187, 1357, 12948, 4813, 1187, 20804, 4519, 1007, 2035, 1009, 20592, 17187, 25001, 4119, 1195, 8858, 1094, 2750, 10893, 10677, 4661, 1118, 9487, 1420, 1009, 4285, 2184, 4273, 1024, 2515, 1005, 7015, 10653, 11989, 2106, 1043, 26024, 1009, 20446, 6065, 9596, 1063, 3536, 7514, 1357, 12607, 3401, 4660, 1633, 5558, 5920, 1094, 12948, 1049, 5549, 2152, 29933, 1054, 9008, 3668, 16931, 15401, 1063, 3536, 1620, 2612, 1043, 1094, 12420, 1009, 30206, 1162, 12322, 91, 1088, 5386, 1377, 3423, 18, 1006, 3536, 4836, 23104, 7528, 1009, 9496, 5174, 3795, 1213, 2822, 1049, 28739, 10662, 1992, 1159, 2739, 1271, 1211, 9954, 1005, 1592, 2350, 11012, 2173, 18960, 1016, 1060, 16921, 1367, 22792, 2237, 10893, 1160, 2612, 1043, 1132, 10193, 2137, 1333, 1271, 7707, 12951, 1009, 1578, 4673, 1005, 1578, 5900, 12724, 1118, 27652, 1142, 9857, 84, 1035, 7452, 3048, 1043, 1569, 9496, 12951, 3942, 3878, 1837, 1094, 10893, 15338, 1626, 2934, 1049, 5226, 1530, 11735, 4356, 1269, 1053, 83, 153, 1021, 1051, 1686, 6369, 15, 4661, 1118, 3236, 1106, 15290, 1943, 1005, 21941, 7339, 1689, 1054, 4238, 1005, 8858, 1356, 2505, 15403, 159, 28789, 1054, 1764, 10533, 1063, 10893, 9638, 5812, 3110, 16046, 1537, 1106, 9703, 2393, 56, 4414, 18, 3236, 20, 5113, 20541, 1213, 10858, 32, 14755, 2163, 1121, 1322, 1138, 1615, 1149, 1005, 16760, 1072, 10628, 2335, 1060, 5226, 8529, 11698, 11516, 5931, 18960, 1377, 27198, 12204, 3306, 1223, 1905, 1054, 2487, 3380, 2404, 1565, 2828, 1009, 8750, 20, 17145, 8379, 3818, 2310, 1537, 1128, 49, 4517, 18, 11336, 6759, 7515, 4952, 1049, 1178, 25081, 17203, 1036, 32, 3267, 1876, 19857, 1005, 12254, 1060, 13289, 1114, 1005, 1162, 1292, 1034, 2173, 20902, 16921, 1367, 3691, 9108, 3989, 2541, 5205, 31, 1565, 16669, 2971, 30, 1033, 20, 27198, 12204, 3306, 1223, 1905, 1054, 6365, 1565, 2828, 3517, 1049, 8921, 20, 22976, 3209, 1059, 1082, 7567, 2982, 42, 5529, 11440, 10625, 2223, 1972, 14589, 2184, 1271, 1211, 9954, 13574, 1060, 16921, 1367, 3691, 1005, 1049, 6745, 1078, 1205, 27391, 1213, 2729, 1049, 3182, 1005, 1049, 8410, 14601, 3727, 23, 1033, 20, 1128, 4201, 4334, 1079, 31552, 1054, 11609, 28364, 1480, 1565, 2828, 3517, 1009, 19438, 1009, 17615, 20, 19438, 1009, 1134, 5696, 14601, 0, 5, 2804, 76, 5517, 1060, 16921, 1367, 3691, 1054, 1224, 3536, 1009, 1578, 5900, 1072, 15314, 1060, 8699, 1009, 16760, 5931, 20902, 4271, 1020, 14557, 1054, 2173, 15202, 3377, 2804, 76, 5517, 1060, 16921, 1367, 3691, 1054, 1224, 3536, 1009, 1578, 4673, 1072, 15314, 1060, 8699, 1009, 16760, 5931, 20902, 4271, 1020, 14557, 1054, 2173, 15202, 3377, 16921, 1367, 3691, 1114, 8699, 1009, 16760, 5931, 20902, 5, 16921, 1367, 3691, 1114, 1482, 21839, 1060, 24162, 1054, 3032, 2965, 1988, 1060, 24162, 3008, 31842, 1060, 24162, 1691, 1041, 2404, 27455, 11566, 15881, 1052, 1576, 85, 8529, 3031, 1145, 1, 4644, 7493, 96, 10368, 1096, 1044, 6491, 1463, 31350, 3716, 3482, 4514, 3145, 4761, 12021, 2899, 1103, 73, 1122, 1029, 7758, 31797, 1625, 31473, 6232, 26008, 1005, 30429, 1053, 3829, 1658, 20703, 1027, 1005, 1006, 6755, 1049, 6491, 1009, 4644, 7493, 96, 10368, 1327, 1124, 10529, 1060, 1224, 19688, 2899, 1103, 73, 1122, 1029, 2002, 18726, 1110, 1063, 2206, 1024, 4296, 5, 1062, 1171, 1209, 5, 1062, 1154, 3766, 84, 5, 31797, 1625, 4624, 5, 8653, 5960, 3995, 1241, 20, 2899, 1103, 73, 1122, 1029, 2002, 1308, 2231, 1505, 6713, 1130, 5, 30429, 1053, 3829, 5, 2955, 11514, 1019, 5, 2955, 1205, 1893, 5, 2152, 86, 5188, 2059, 5, 11745, 1497, 5, 11745, 1108, 5, 11586, 24486, 6729, 1051, 13035, 1138, 2402, 80, 2801, 5, 2591, 1145, 5, 1587, 1041, 2607, 5, 6202, 1056, 1165, 18162, 5, 4833, 9203, 1009, 13171, 5, 4833, 5217, 1051, 1179, 20282, 5, 4833, 25313, 1139, 1047, 5, 4833, 12127, 1009, 22979, 5, 4833, 8094, 1177, 5, 3584, 7015, 5, 3584, 4782, 4624, 5, 6232, 26008, 5, 18876, 3471, 1226, 5, 2882, 1108, 1009, 2597, 1590, 3294, 5, 26231, 1087, 18690, 5, 16136, 1009, 4833, 4644, 5481, 1885, 2390, 7493, 96, 10368, 28882, 1, 2882, 1108, 1096, 1044, 6491, 1463, 31350, 3716, 3482, 4514, 3145, 4761, 12021, 4833, 21479, 3400, 1005, 1144, 3829, 2576, 1879, 6491, 1009, 2882, 1108, 5631, 1124, 11723, 2231, 16244, 3694, 4247, 12738, 1153, 1005, 2089, 1072, 17292, 1009, 17520, 1087, 1377, 12683, 8726, 5, 1387, 1423, 2112, 5, 27907, 3691, 5, 1063, 1202, 1087, 1342, 5, 1868, 1115, 5, 3379, 2812, 1017, 10368, 5, 18798, 2934, 5, 1144, 3829, 2576, 5, 4833, 4644, 1009, 15919, 14461, 4833, 21479, 3400, 1110, 5285, 1108, 6416, 1166, 1005, 12864, 19435, 1054, 5614, 25, 1, 1138, 11903, 1593, 1017, 1195, 1044, 5242, 1348, 1060, 10528, 10597, 2893, 1095, 21056, 11195, 2965, 15117, 10582, 2965, 3744, 1237, 2876, 1294, 1338, 1029, 1689, 9941, 1102, 1009, 4872, 1320, 1100, 1114, 6512, 1054, 5614, 28, 1005, 3098, 2408, 2691, 12225, 13902, 1021, 1452, 1009, 1094, 8623, 4952, 4345, 14107, 1159, 3484, 7512, 1213, 31312, 1458, 9534, 1009, 5614, 2041, 1026, 1235, 6072, 1114, 4464, 1195, 1009, 10070, 2023, 11605, 3537, 2621, 10, 2621, 1009, 19125, 26657, 31, 1254, 641, 9949, 2916, 1009, 1799, 6435, 6435, 641, 1254, 1009, 11556, 1054, 3408, 11754, 1102, 17598, 15949, 1303, 1257, 24, 2311, 1344, 1237, 3669, 19018, 22, 9211, 83, 2595, 3270, 4978, 20, 3430, 7777, 2663, 1029, 1316, 1013, 32, 9377, 10377, 21, 8541, 73, 2918, 32, 2322, 49, 83, 2548, 26, 2311, 1344, 1237, 3669, 25509, 10377, 13951, 4978, 20, 5614, 27, 2663, 1029, 1316, 1013, 32, 25509, 10377, 21, 8541, 73, 2918, 32, 1844, 49, 83, 2548, 30, 2311, 6227, 1358, 81, 1398, 1283, 3882, 20, 6013, 29, 0, 16306, 21, 5402, 1082, 13891, 47, 4978, 20, 3430, 4829, 2663, 1029, 1316, 1013, 32, 11528, 10377, 21, 8541, 73, 2918, 32, 10723, 24, 49, 83, 2548, 25, 21119, 1010, 1142, 2648, 7234, 1017, 4896, 1010, 1005, 1307, 8228, 1615, 5709, 1170, 12292, 3466, 10303, 3436, 1235, 1831, 11852, 1195, 1026, 16616, 1009, 1570, 12267, 5523, 91, 1747, 8201, 1049, 26055, 1879, 11903, 1593, 1017, 18439, 1044, 3129, 2512, 1072, 9624, 1009, 1487, 1009, 9499, 1009, 1204, 12430, 1048, 4715, 1233, 11765, 1060, 5007, 28098, 1847, 4553, 1356, 20103, 1303, 1049, 10422, 6158, 1271, 30355, 1436, 12432, 1026, 1235, 3041, 1009, 3159, 1026, 11903, 1593, 1017, 31874, 1054, 15025, 1009, 25457, 3179, 1664, 1132, 12864, 5836, 1202, 1024, 2972, 3116, 14127, 2271, 14281, 1006, 5401, 8508, 4685, 2521, 2754, 14991, 7878, 1006, 3825, 5989, 5425, 1159, 1026, 1561, 1206, 1026, 6783, 6439, 8020, 3578, 12126, 1026, 11903, 1593, 1017, 11032, 1751, 1251, 9176, 1463, 6444, 7114, 1717, 1132, 9755, 1400, 1072, 3184, 1009, 15506, 1658, 1675, 1009, 9195, 1009, 22048, 1195, 3330, 1424, 30543, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 7432, 15571, 3554, 1069, 1054, 22363, 1005, 13082, 1233, 1134, 4835, 11336, 6759, 16637, 1283, 675, 1062, 0, 4437, 1356, 4410, 1009, 1675, 3211, 30, 2704, 10, 1254, 17886, 25, 641, 27, 2081, 2916, 1009, 1487, 1999, 2621, 641, 1254, 11556, 1054, 3408, 11754, 1102, 15, 5339, 1330, 1708, 3133, 6347, 27196, 2446, 4434, 1672, 1048, 9083, 1026, 7618, 1060, 4137, 1159, 1847, 1026, 11903, 1593, 2212, 1160, 1325, 2553, 73, 7043, 1063, 4137, 1096, 1049, 4934, 1348, 4808, 4243, 3818, 2310, 6108, 1318, 1257, 6454, 1009, 10065, 1009, 3781, 12945, 2965, 3051, 1544, 1060, 10528, 10597, 4093, 1444, 1544, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 2324, 27879, 1009, 5614, 29, 1, 25555, 1128, 18, 1720, 15794, 1009, 16758, 5619, 1128, 2140, 71, 1302, 19386, 1145, 6505, 3186, 1009, 2436, 1009, 3067, 4681, 1096, 1044, 26826, 17410, 5328, 22360, 1005, 23599, 8367, 20, 2200, 1096, 3201, 1118, 1235, 2684, 9708, 7646, 5222, 1672, 1043, 1026, 23231, 1069, 8229, 1294, 8178, 17894, 13370, 1253, 1016, 1060, 6442, 13406, 1005, 1569, 2754, 7995, 1242, 1009, 17077, 2247, 1060, 1224, 11470, 1009, 8055, 21885, 8, 1005, 1235, 10610, 1027, 9788, 1008, 2498, 2186, 1143, 1078, 11021, 10224, 1569, 8340, 25022, 10613, 1093, 3145, 5278, 1327, 1159, 1106, 14014, 1106, 6876, 1093, 1114, 2700, 19835, 10299, 12400, 1063, 1967, 8053, 9172, 4969, 15, 1005, 1159, 1026, 30572, 1348, 5259, 5209, 16521, 1072 ]

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

[ 18960, 1273, 11132, 1072, 4657, 1009, 1594, 14839, 2402, 1114, 1868, 2570, 2275, 1138, 1807, 3330, 1009, 1142, 9857, 84, 11211, 1195, 5115, 3880, 10577, 2252, 6546, 8804, 8426, 3552, 3964, 12254, 3031, 1145, 1009, 19716, 25613, 20, 1972, 1026, 5654, 10661, 27268, 20248, 1271, 8804, 15293, 1580, 1005, 13236, 2088, 23848, 1060, 1224, 3486, 13460, 28174, 1009, 1101, 11, 1049, 3225, 17598, 1944, 3536, 1060, 3733, 1175, 7001, 20012, 1159, 1006, 9220, 3089, 16921, 1367, 3691, 8, 1175, 1195, 8858, 1054, 14663, 2639, 1063, 2750, 18658, 1048, 11009, 6958, 8111, 18459, 1068, 3886, 15, 1005, 25204, 26755, 1006, 12254, 8399, 3018, 1205, 153, 1021, 153, 83, 171, 1021, 1051, 6733, 1009, 1178, 1044, 9865, 1005, 1006, 8161, 1060, 4173, 1049, 1784, 1096, 2364, 20536, 1006, 11979, 1357, 1224, 12902, 1006, 19935, 96, 1623, 1049, 1238, 4790, 83, 8193, 1349, 1195, 8858, 1054, 1578, 5900, 1879, 7326, 7622, 1124, 18186, 6700, 1009, 2539, 21986, 1025, 12851, 2173, 18960, 13317, 1205, 153, 1021, 153, 83, 171, 1021, 3933, 1026, 1080, 20372, 4790, 4013, 1021, 3933, 1026, 2425, 2767, 1005, 4383, 1498, 81, 153, 1021, 3933, 1044, 1025, 2575, 1009, 16035, 1398, 1018, 1005, 6339, 12127, 2173, 3309, 9041, 1005, 1009, 1344, 4027, 1512, 1100, 1044, 12128, 2048, 7323, 1009, 5675, 22818, 3617, 2858, 5054, 14190, 1526, 1049, 3031, 1221, 1096, 1006, 2869, 1365, 16921, 1367, 3691, 5436, 3548, 1009, 16921, 1367, 8392, 1005, 5226, 78, 80, 3728, 5436, 3548, 1049, 10519, 1118, 2624, 1125, 1252, 1140, 1043, 1006, 24210, 12222, 20192, 7326, 1114, 1224, 1871, 1009, 1578, 5900, 24576, 1009, 3886, 2832, 1554, 4083, 4181, 2971, 2832, 1229, 1846, 1009, 1094, 5360, 1582, 1060, 4173, 1049, 1784, 1005, 1049, 9407, 1009, 1205, 153, 1021, 153, 83, 171, 1021, 3933, 1132, 2125, 21986, 1060, 16921, 1367, 3691, 8126, 153, 1021, 153, 83, 171, 1021, 3933, 4790, 4013, 1021, 1051, 1005, 4383, 1498, 81, 153, 1021, 1051, 15, 4793, 1046, 4270, 3628, 1006, 5226, 78, 80, 13140, 7245, 24459, 1006, 5380, 1009, 5023, 78, 1803, 18526, 1060, 5226, 78, 80, 30344, 4790, 4013, 1021, 1051, 1234, 1420, 1026, 4948, 1162, 14278, 24620, 1329, 12839, 1048, 3312, 31658, 1006, 2306, 1026, 3134, 15, 1159, 1751, 1271, 4034, 1068, 5587, 1006, 4786, 1060, 5380, 1009, 5023, 78, 1803, 1043, 2306, 6736, 1058, 10007, 4083, 9354, 2971, 2832, 1229, 1006, 2869, 1365, 16921, 1367, 3691, 1005, 5226, 78, 80, 3728, 14061, 10233, 1061, 1005, 1132, 21986, 1060, 16921, 1367, 3691, 6989, 1046, 1026, 4948, 1162, 1006, 5226, 78, 80, 13140, 1213, 1048, 1058, 6856, 1094, 3781, 1357, 1224, 8894, 20, 1482, 10882, 1009, 12254, 13177, 1029, 2166, 1006, 2042, 22818, 1145, 1009, 1344, 4027, 15039, 1096, 1201, 3567, 1138, 7326, 7917, 1043, 1026, 1852, 1060, 1516, 1025, 5803, 2173, 18960, 1126, 14937, 4917, 1357, 8685, 1009, 1044, 2017, 9865, 2663, 88, 2575, 15, 1005, 1114, 5618, 1009, 1205, 153, 1021, 153, 83, 171, 1021, 1051, 1658, 11244, 21517, 1044, 3129, 14190, 1526, 1114, 12254, 1005, 1664, 1132, 21986, 2643, 11262, 8117, 1391, 1009, 1702, 2446, 20, 1063, 11244, 1114, 16921, 1367, 3691, 1325, 23061, 2852, 2166, 1592, 1125, 1252, 2166, 1043, 1006, 2179, 2762, 1006, 5133, 1005, 1026, 4318, 32, 1205, 153, 1021, 153, 83, 171, 1021, 3933, 1118, 3018, 6071, 1634, 1105, 1203, 3240, 1080, 20372, 1025, 3763, 1005, 4802, 4475, 2494, 16921, 1367, 3691, 5574, 1094, 3616, 1096, 2832, 8357, 1005, 1261, 11262, 1322, 1687, 2286, 4732, 1598, 2565, 1006, 16921, 1367, 3691, 1160, 4955, 15364, 1009, 1090, 11374, 1400, 3048, 19901, 1377, 1766, 23848, 1327, 1738, 2184, 89, 1690, 1182, 1010, 1005, 15662, 1009, 1094, 6406, 1009, 1015, 1690, 1182, 1016, 14757, 1005, 1015, 1690, 1182, 1016, 20631, 4270, 3273, 12012, 1752, 23559, 1118, 1094, 1015, 1690, 11235, 4680, 1005, 2697, 1157, 3552, 1015, 1690, 11235, 9636, 5044, 23848, 1327, 23061, 3191, 11103, 78, 1166, 1054, 1004, 30475, 1187, 2688, 1026, 2277, 7080, 18013, 1094, 14852, 1049, 7856, 1049, 1831, 1658, 16921, 1367, 3691, 2569, 1044, 2512, 3129, 1072, 3090, 1049, 3267, 1876, 2173, 15202, 1048, 6736, 22402, 1006, 24162, 1233, 11468, 1060, 7500, 1054, 22653, 3242, 14869, 3425, 1049, 9171, 2173, 15202, 8528, 27645, 1045, 5764, 1596, 2862, 2905, 1054, 7002, 1060, 16921, 1367, 3691, 9414, 10893, 10677, 1054, 4894, 1195, 8858, 1054, 4187, 1357, 12948, 4813, 1187, 20804, 4519, 1007, 2035, 1009, 20592, 17187, 25001, 4119, 1195, 8858, 1094, 2750, 10893, 10677, 4661, 1118, 9487, 1420, 1009, 4285, 2184, 4273, 1024, 2515, 1005, 7015, 10653, 11989, 2106, 1043, 26024, 1009, 20446, 6065, 9596, 1063, 3536, 7514, 1357, 12607, 3401, 4660, 1633, 5558, 5920, 1094, 12948, 1049, 5549, 2152, 29933, 1054, 9008, 3668, 16931, 15401, 1063, 3536, 1620, 2612, 1043, 1094, 12420, 1009, 30206, 1162, 12322, 91, 1088, 5386, 1377, 3423, 18, 1006, 3536, 4836, 23104, 7528, 1009, 9496, 5174, 3795, 1213, 2822, 1049, 28739, 10662, 1992, 1159, 2739, 1271, 1211, 9954, 1005, 1592, 2350, 11012, 2173, 18960, 1016, 1060, 16921, 1367, 22792, 2237, 10893, 1160, 2612, 1043, 1132, 10193, 2137, 1333, 1271, 7707, 12951, 1009, 1578, 4673, 1005, 1578, 5900, 12724, 1118, 27652, 1142, 9857, 84, 1035, 7452, 3048, 1043, 1569, 9496, 12951, 3942, 3878, 1837, 1094, 10893, 15338, 1626, 2934, 1049, 5226, 1530, 11735, 4356, 1269, 1053, 83, 153, 1021, 1051, 1686, 6369, 15, 4661, 1118, 3236, 1106, 15290, 1943, 1005, 21941, 7339, 1689, 1054, 4238, 1005, 8858, 1356, 2505, 15403, 159, 28789, 1054, 1764, 10533, 1063, 10893, 9638, 5812, 3110, 16046, 1537, 1106, 9703, 2393, 56, 4414, 18, 3236, 20, 5113, 20541, 1213, 10858, 32, 14755, 2163, 1121, 1322, 1138, 1615, 1149, 1005, 16760, 1072, 10628, 2335, 1060, 5226, 8529, 11698, 11516, 5931, 18960, 1377, 27198, 12204, 3306, 1223, 1905, 1054, 2487, 3380, 2404, 1565, 2828, 1009, 8750, 20, 17145, 8379, 3818, 2310, 1537, 1128, 49, 4517, 18, 11336, 6759, 7515, 4952, 1049, 1178, 25081, 17203, 1036, 32, 3267, 1876, 19857, 1005, 12254, 1060, 13289, 1114, 1005, 1162, 1292, 1034, 2173, 20902, 16921, 1367, 3691, 9108, 3989, 2541, 5205, 31, 1565, 16669, 2971, 30, 1033, 20, 27198, 12204, 3306, 1223, 1905, 1054, 6365, 1565, 2828, 3517, 1049, 8921, 20, 22976, 3209, 1059, 1082, 7567, 2982, 42, 5529, 11440, 10625, 2223, 1972, 14589, 2184, 1271, 1211, 9954, 13574, 1060, 16921, 1367, 3691, 1005, 1049, 6745, 1078, 1205, 27391, 1213, 2729, 1049, 3182, 1005, 1049, 8410, 14601, 3727, 23, 1033, 20, 1128, 4201, 4334, 1079, 31552, 1054, 11609, 28364, 1480, 1565, 2828, 3517, 1009, 19438, 1009, 17615, 20, 19438, 1009, 1134, 5696, 14601, 0, 5, 2804, 76, 5517, 1060, 16921, 1367, 3691, 1054, 1224, 3536, 1009, 1578, 5900, 1072, 15314, 1060, 8699, 1009, 16760, 5931, 20902, 4271, 1020, 14557, 1054, 2173, 15202, 3377, 2804, 76, 5517, 1060, 16921, 1367, 3691, 1054, 1224, 3536, 1009, 1578, 4673, 1072, 15314, 1060, 8699, 1009, 16760, 5931, 20902, 4271, 1020, 14557, 1054, 2173, 15202, 3377, 16921, 1367, 3691, 1114, 8699, 1009, 16760, 5931, 20902, 5, 16921, 1367, 3691, 1114, 1482, 21839, 1060, 24162, 1054, 3032, 2965, 1988, 1060, 24162, 3008, 31842, 1060, 24162, 1691, 1041, 2404, 27455, 11566, 15881, 1052, 1576, 85, 8529, 3031, 1145, 1, 4644, 7493, 96, 10368, 1096, 1044, 6491, 1463, 31350, 3716, 3482, 4514, 3145, 4761, 12021, 2899, 1103, 73, 1122, 1029, 7758, 31797, 1625, 31473, 6232, 26008, 1005, 30429, 1053, 3829, 1658, 20703, 1027, 1005, 1006, 6755, 1049, 6491, 1009, 4644, 7493, 96, 10368, 1327, 1124, 10529, 1060, 1224, 19688, 2899, 1103, 73, 1122, 1029, 2002, 18726, 1110, 1063, 2206, 1024, 4296, 5, 1062, 1171, 1209, 5, 1062, 1154, 3766, 84, 5, 31797, 1625, 4624, 5, 8653, 5960, 3995, 1241, 20, 2899, 1103, 73, 1122, 1029, 2002, 1308, 2231, 1505, 6713, 1130, 5, 30429, 1053, 3829, 5, 2955, 11514, 1019, 5, 2955, 1205, 1893, 5, 2152, 86, 5188, 2059, 5, 11745, 1497, 5, 11745, 1108, 5, 11586, 24486, 6729, 1051, 13035, 1138, 2402, 80, 2801, 5, 2591, 1145, 5, 1587, 1041, 2607, 5, 6202, 1056, 1165, 18162, 5, 4833, 9203, 1009, 13171, 5, 4833, 5217, 1051, 1179, 20282, 5, 4833, 25313, 1139, 1047, 5, 4833, 12127, 1009, 22979, 5, 4833, 8094, 1177, 5, 3584, 7015, 5, 3584, 4782, 4624, 5, 6232, 26008, 5, 18876, 3471, 1226, 5, 2882, 1108, 1009, 2597, 1590, 3294, 5, 26231, 1087, 18690, 5, 16136, 1009, 4833, 4644, 5481, 1885, 2390, 7493, 96, 10368, 28882, 1, 2882, 1108, 1096, 1044, 6491, 1463, 31350, 3716, 3482, 4514, 3145, 4761, 12021, 4833, 21479, 3400, 1005, 1144, 3829, 2576, 1879, 6491, 1009, 2882, 1108, 5631, 1124, 11723, 2231, 16244, 3694, 4247, 12738, 1153, 1005, 2089, 1072, 17292, 1009, 17520, 1087, 1377, 12683, 8726, 5, 1387, 1423, 2112, 5, 27907, 3691, 5, 1063, 1202, 1087, 1342, 5, 1868, 1115, 5, 3379, 2812, 1017, 10368, 5, 18798, 2934, 5, 1144, 3829, 2576, 5, 4833, 4644, 1009, 15919, 14461, 4833, 21479, 3400, 1110, 5285, 1108, 6416, 1166, 1005, 12864, 19435, 1054, 5614, 25, 1, 1138, 11903, 1593, 1017, 1195, 1044, 5242, 1348, 1060, 10528, 10597, 2893, 1095, 21056, 11195, 2965, 15117, 10582, 2965, 3744, 1237, 2876, 1294, 1338, 1029, 1689, 9941, 1102, 1009, 4872, 1320, 1100, 1114, 6512, 1054, 5614, 28, 1005, 3098, 2408, 2691, 12225, 13902, 1021, 1452, 1009, 1094, 8623, 4952, 4345, 14107, 1159, 3484, 7512, 1213, 31312, 1458, 9534, 1009, 5614, 2041, 1026, 1235, 6072, 1114, 4464, 1195, 1009, 10070, 2023, 11605, 3537, 2621, 10, 2621, 1009, 19125, 26657, 31, 1254, 641, 9949, 2916, 1009, 1799, 6435, 6435, 641, 1254, 1009, 11556, 1054, 3408, 11754, 1102, 17598, 15949, 1303, 1257, 24, 2311, 1344, 1237, 3669, 19018, 22, 9211, 83, 2595, 3270, 4978, 20, 3430, 7777, 2663, 1029, 1316, 1013, 32, 9377, 10377, 21, 8541, 73, 2918, 32, 2322, 49, 83, 2548, 26, 2311, 1344, 1237, 3669, 25509, 10377, 13951, 4978, 20, 5614, 27, 2663, 1029, 1316, 1013, 32, 25509, 10377, 21, 8541, 73, 2918, 32, 1844, 49, 83, 2548, 30, 2311, 6227, 1358, 81, 1398, 1283, 3882, 20, 6013, 29, 0, 16306, 21, 5402, 1082, 13891, 47, 4978, 20, 3430, 4829, 2663, 1029, 1316, 1013, 32, 11528, 10377, 21, 8541, 73, 2918, 32, 10723, 24, 49, 83, 2548, 25, 21119, 1010, 1142, 2648, 7234, 1017, 4896, 1010, 1005, 1307, 8228, 1615, 5709, 1170, 12292, 3466, 10303, 3436, 1235, 1831, 11852, 1195, 1026, 16616, 1009, 1570, 12267, 5523, 91, 1747, 8201, 1049, 26055, 1879, 11903, 1593, 1017, 18439, 1044, 3129, 2512, 1072, 9624, 1009, 1487, 1009, 9499, 1009, 1204, 12430, 1048, 4715, 1233, 11765, 1060, 5007, 28098, 1847, 4553, 1356, 20103, 1303, 1049, 10422, 6158, 1271, 30355, 1436, 12432, 1026, 1235, 3041, 1009, 3159, 1026, 11903, 1593, 1017, 31874, 1054, 15025, 1009, 25457, 3179, 1664, 1132, 12864, 5836, 1202, 1024, 2972, 3116, 14127, 2271, 14281, 1006, 5401, 8508, 4685, 2521, 2754, 14991, 7878, 1006, 3825, 5989, 5425, 1159, 1026, 1561, 1206, 1026, 6783, 6439, 8020, 3578, 12126, 1026, 11903, 1593, 1017, 11032, 1751, 1251, 9176, 1463, 6444, 7114, 1717, 1132, 9755, 1400, 1072, 3184, 1009, 15506, 1658, 1675, 1009, 9195, 1009, 22048, 1195, 3330, 1424, 30543, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 7432, 15571, 3554, 1069, 1054, 22363, 1005, 13082, 1233, 1134, 4835, 11336, 6759, 16637, 1283, 675, 1062, 0, 4437, 1356, 4410, 1009, 1675, 3211, 30, 2704, 10, 1254, 17886, 25, 641, 27, 2081, 2916, 1009, 1487, 1999, 2621, 641, 1254, 11556, 1054, 3408, 11754, 1102, 15, 5339, 1330, 1708, 3133, 6347, 27196, 2446, 4434, 1672, 1048, 9083, 1026, 7618, 1060, 4137, 1159, 1847, 1026, 11903, 1593, 2212, 1160, 1325, 2553, 73, 7043, 1063, 4137, 1096, 1049, 4934, 1348, 4808, 4243, 3818, 2310, 6108, 1318, 1257, 6454, 1009, 10065, 1009, 3781, 12945, 2965, 3051, 1544, 1060, 10528, 10597, 4093, 1444, 1544, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 2324, 27879, 1009, 5614, 29, 1, 25555, 1128, 18, 1720, 15794, 1009, 16758, 5619, 1128, 2140, 71, 1302, 19386, 1145, 6505, 3186, 1009, 2436, 1009, 3067, 4681, 1096, 1044, 26826, 17410, 5328, 22360, 1005, 23599, 8367, 20, 2200, 1096, 3201, 1118, 1235, 2684, 9708, 7646, 5222, 1672, 1043, 1026, 23231, 1069, 8229, 1294, 8178, 17894, 13370, 1253, 1016, 1060, 6442, 13406, 1005, 1569, 2754, 7995, 1242, 1009, 17077, 2247, 1060, 1224, 11470, 1009, 8055, 21885, 8, 1005, 1235, 10610, 1027, 9788, 1008, 2498, 2186, 1143, 1078, 11021, 10224, 1569, 8340, 25022, 10613, 1093, 3145, 5278, 1327, 1159, 1106, 14014, 1106, 6876, 1093, 1114, 2700, 19835, 10299, 12400, 1063, 1967, 8053, 9172, 4969, 15, 1005, 1159, 1026, 30572, 1348, 5259, 5209, 16521, 1072 ]

[ 1087, 15, 2711, 3205, 1114, 3232, 2429, 9707, 2149, 0, 1349, 1132, 5891, 18405, 1233, 2779, 3547, 1236, 2691, 17061, 1452, 1048, 13876, 1054, 2350, 5852, 1049, 17523, 7766, 1026, 5847, 1327, 1307, 8121, 16757, 1602, 1166, 1005, 5142, 28, 5205, 1169, 5072, 22552, 1533, 2371, 75, 1759, 21596, 15818, 2447, 6706, 4299, 30277, 7919, 1049, 5549, 8250, 22303, 158, 3057, 1852, 1009, 3757, 8682, 1009, 3049, 1009, 6391, 1726, 1204, 5207, 9998, 6176, 30627, 17594, 11046, 1166, 1054, 1067, 21596, 15818, 2447, 6706, 4299, 30277, 7919, 1049, 5549, 8250, 22303, 158, 3057, 1852, 1009, 3757, 2503, 1780, 1295, 1691, 5911, 18, 23439, 1005, 4630, 1561, 2736, 1202, 4246, 6556, 1068, 14716, 1130, 1233, 2068, 1009, 10790, 8682, 1009, 3049, 1009, 6391, 1726, 26901, 4943, 9998, 6176, 30627, 17594, 11046, 1166, 1054, 1082, 5911, 18, 23439, 1005, 4630, 1561, 2736, 1202, 4246, 6556, 1068, 14716, 1130, 1233, 2068, 1009, 10790, 1, 4438, 1242, 1009, 1387, 80, 1279, 13491, 5306, 76, 20705, 89, 19279, 6413, 10361, 14860, 1087, 3198, 1324, 10361, 4948, 1079, 1022, 2469, 10361, 7273, 1187, 29074, 2457, 10361, 1868, 1199, 14669, 10361, 24443, 2515, 2457, 10361, 8277, 2320, 983, 1602, 1100, 10361, 1594, 11996, 5221, 10361, 3217, 1672, 10361, 7273, 10019, 1239, 2457, 10361, 29001, 2469, 10361, 1796, 1069, 5, 26653, 1576, 11941, 24128, 2689, 29156, 1940, 6253, 8157, 6584, 10888, 4580, 2135, 29010, 1940, 6253, 1009, 5306, 1546, 12556, 1035, 1009, 25296, 19287, 1209, 1009, 22770, 22647, 1467, 1362, 80, 2147, 12852, 1218, 1010, 1009, 1134, 6253, 1467, 2993, 2147, 1009, 1134, 6253, 1797, 1016, 1016, 1009, 1134, 6253, 1797, 1016, 1016, 1009, 1134, 6253, 1083, 1797, 1016, 1016, 1009, 1134, 6253, 1101, 2555, 24667, 18715, 1071, 1366, 1203, 1016, 28766, 1252, 4543, 1797, 2961, 1876, 17698, 1387, 80, 1279, 1189, 6593, 80, 1279, 1189, 1691, 4382, 1009, 1387, 80, 1279, 1189, 1576, 1007, 1242, 1576, 13849, 13486, 1797, 1208, 1645, 1605, 9591, 1576, 6393, 13758, 1097, 20, 3064, 5730, 18597, 3554, 1436, 1576, 1265, 4707, 1009, 1180, 3390, 1576, 1265, 4707, 1006, 5768, 1576, 1265, 4707, 1009, 3514, 1076, 1576, 1265, 4707, 1688, 22585, 1759, 1189, 1546, 1576, 1018, 1609, 2430, 20173, 14996, 2358, 3554, 1436, 6174, 4438, 1242, 1049, 5774, 1729, 1387, 80, 1279, 1189, 1605, 29149, 5712, 4948, 1079, 18498, 7273, 1187, 29074, 1868, 1199, 2051, 24443, 2515, 1691, 2675, 2320, 1818, 1385, 1594, 11996, 1685, 14818, 7273, 10019, 1239, 29001, 1239, 1796, 1069, 7572, 3407, 10475, 1058, 12529, 1040, 1124, 17819, 1184, 23161, 1068, 6564, 27657, 1071, 1926, 51, 1349, 1124, 18654, 1068, 1132, 1796, 1708, 1060, 28396, 1071, 2805, 15, 1005, 1124, 1184, 2900, 2905, 2309, 26891, 1573, 1005, 9626, 1708, 1009, 28750, 2695, 1528, 2794, 6767, 44, 21, 14437, 3377, 64, 85, 1104, 1705, 1152, 12517, 1104, 3422, 1576, 1007, 1034, 1009, 14860, 1087, 5712, 1071, 1926, 51, 1308, 5552, 6167, 21450, 1298, 9791, 12190, 11991, 1016, 13329, 1009, 4722, 1006, 5768, 20, 1972, 2709, 1837, 1094, 2750, 1198, 1117, 2166, 19595, 1278, 14343, 1114, 1449, 158, 27923, 1006, 3806, 10361, 1060, 27317, 29284, 2494, 1449, 158, 19941, 1026, 3872, 3177, 1096, 2328, 1009, 1044, 1746, 9823, 1048, 31286, 1006, 1558, 14331, 20018, 1266, 3277, 71, 19729, 4034, 1068, 1006, 22883, 1416, 1005, 1068, 19973, 1009, 15107, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 1063, 2741, 1236, 1009, 1387, 80, 1279, 1189, 1054, 19341, 3184, 1357, 9622, 23, 1404, 17483, 80, 1279, 1189, 5537, 18925, 71, 1565, 7141, 71, 1006, 9130, 1049, 27070, 1068, 25578, 2402, 4236, 1009, 14860, 1087, 3198, 1802, 10702, 1233, 15053, 1114, 3583, 1060, 14955, 1009, 3474, 1129, 1126, 1118, 1044, 1090, 1625, 1027, 3190, 2105, 2270, 3204, 3439, 9638, 1006, 19804, 1239, 1009, 1067, 3198, 1324, 7439, 5193, 1495, 1233, 1143, 96, 1060, 31161, 1063, 2924, 4169, 6071, 1996, 1060, 11295, 1322, 1006, 19804, 1239, 1009, 1067, 5712, 1620, 1049, 2790, 1155, 1645, 29674, 6423, 1233, 7116, 1005, 4054, 1118, 2122, 1090, 5916, 1048, 1213, 2729, 1009, 1307, 2718, 5510, 5193, 27468, 1278, 1495, 1233, 10361, 1009, 14860, 1087, 5712, 1533, 41, 9283, 18029, 4445, 1071, 1202, 2002, 1005, 31343, 1308, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1313, 41, 33, 9156, 1689, 33, 8703, 1009, 18216, 33, 2696, 33, 8079, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1060, 4948, 1079, 18498, 1071, 2805, 1308, 2584, 9829, 4671, 1005, 2574, 20121, 3567, 1156, 11290, 1068, 1132, 26904, 1060, 5154, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 2773, 1435, 1006, 9622, 10706, 1068, 10519, 18501, 1006, 8565, 9089, 19736, 2597, 1710, 1236, 1060, 24366, 28037, 1374, 15053, 1571, 3250, 9083, 156, 1007, 30878, 10871, 1067, 2327, 1118, 2122, 8442, 1009, 3190, 1065, 7941, 1495, 1213, 1852, 1005, 1289, 4595, 2122, 2921, 8442, 5898, 1054, 3439, 1009, 3548, 2920, 5330, 1067, 2327, 5193, 14249, 7657, 15417, 1124, 1080, 1174, 1189, 73, 1394, 1533, 41, 9283, 18029, 2054, 1236, 4417, 8399, 2191, 1009, 1746, 9823, 1308, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1160, 1576, 1007, 1242, 1009, 2882, 1018, 1187, 29074, 1071, 2805, 11427, 2139, 1049, 9089, 7117, 9829, 2574, 20121, 2166, 18654, 1068, 1132, 26904, 1060, 5154, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 5011, 1072, 9089, 7117, 2129, 1092, 1420, 1371, 1006, 8486, 1060, 8565, 1072, 9622, 10706, 20, 18192, 3250, 27517, 15652, 1006, 10361, 1009, 7273, 1187, 29074, 20, 1138, 3439, 1068, 1006, 10361, 1009, 7273, 1187, 29074, 1381, 1371, 1118, 8442, 1009, 3190, 1065, 7941, 1533, 41, 9283, 18029, 31343, 1005, 1475, 1019, 5781, 1054, 7331, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 11427, 1007, 1034, 1868, 1199, 2051, 1071, 2805, 11427, 2139, 1049, 9089, 7117, 9829, 2574, 20121, 2166, 18654, 1068, 1132, 26904, 1060, 5154, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 5011, 1072, 9089, 7117, 2129, 1092, 1420, 1371, 1006, 8486, 1060, 8565, 1072, 9622, 10706, 20, 18192, 3250, 27517, 15652, 1006, 10361, 1868, 1199, 2051, 20, 1138, 3439, 1068, 1006, 9829, 1060, 1868, 1199, 2051, 1096, 1054, 3548, 16932, 1533, 41, 9283, 18029, 4417, 15590, 7830, 1118, 1746, 9823, 1308, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1160, 1576, 1007, 1034, 1009, 24443, 2515, 1071, 1926, 51, 18927, 1081, 1497, 9829, 11843, 4236, 1060, 8565, 1009, 1387, 80, 1279, 13491, 1318, 2307, 4291, 5593, 7581, 1010, 1009, 1449, 1005, 4489, 20, 8609, 2974, 6239, 1029, 1005, 1004, 1146, 1728, 2899, 1222, 1006, 18833, 1752, 1472, 1184, 20121, 3567, 12463, 73, 1434, 1026, 1118, 8840, 1017, 1060, 18724, 17241, 1072, 7711, 3826, 1060, 9829, 1006, 1663, 8356, 1044, 15483, 1009, 4039, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 1482, 1387, 80, 1279, 13491, 3994, 1213, 16749, 6636, 1163, 1053, 84, 12086, 15288, 23642, 3250, 1044, 21826, 1043, 1006, 11980, 1068, 1006, 10361, 1060, 24443, 2515, 20, 1138, 3439, 1068, 1006, 27934, 1213, 2729, 1009, 1799, 1344, 11116, 1096, 3190, 2105, 1069, 1533, 41, 9283, 18029, 31343, 1005, 1475, 1019, 5781, 1054, 7331, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1080, 1930, 25046, 8703, 1009, 18216, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1009, 8277, 2320, 1818, 1385, 1071, 1926, 51, 11427, 1007, 1034, 1009, 15148, 6511, 10696, 11843, 1006, 2916, 1009, 1782, 1344, 83, 1060, 8565, 1009, 1387, 80, 1279, 13491, 1096, 9829, 7322, 1068, 6428, 4947, 15194, 1044, 6239, 1029, 19716, 1005, 14282, 9928, 89, 1009, 3790, 20, 12463, 6981, 1324, 1114, 2054, 1236, 1068, 1006, 9829, 1006, 17995, 7994, 1017, 7897, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 8602, 4701, 1060, 8565, 1009, 1387, 80, 1279, 1189, 1068, 7247, 3250, 1006, 1448, 1265, 1010, 4722, 1233, 8643, 1044, 1215, 1035, 1099, 1303, 1043, 27517, 15652, 1006, 19341, 1068, 1124, 17819, 1009, 8277, 2320, 1818, 1385, 1005, 1594, 11996, 9549, 1067, 2327, 1006, 14534, 2094, 24228, 1118, 2122, 8442, 1495, 2808, 1044, 5242, 7895, 4419, 1133, 1233, 8643, 1005, 18297, 1118, 2122, 8442, 1048, 1026, 5510, 1233, 10361, 1049, 8277, 2320, 1818, 1385, 1533, 41, 9283, 18029, 4445, 1071, 1202, 2002, 1005, 31343, 1054, 7331, 3929, 9829, 1043, 3177, 4445, 1068, 7950, 2426, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1313, 6540, 9156, 5425, 8703, 1009, 10578, 3784, 23865, 21, 3109, 71, 1154, 5600, 24550, 1400, 9361, 1009, 4181, 1823, 26408, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1060, 1594, 11996, 1685, 1071, 1926, 11077, 1067, 6767, 44, 21, 14437, 7199, 9829, 1009, 15148, 16343, 1060, 1594, 11996, 5221, 1668, 7859, 1118, 1044, 6239, 1029, 1043, 1184, 1009, 2191, 21706, 3070, 1009, 7614, 20, 4670, 1183, 1094, 3610, 1009, 4671, 3178, 31473, 1847, 1118, 1616, 1006, 2444, 16932, 1357, 5200, 1032, 1112, 1271, 19606, 1728, 1776, 7711, 3821, 4292, 1094, 18724, 16824, 1072, 2191, 1049, 16534, 1006, 1663, 8356, 1094, 18588, 16881, 73, 1377, 17615, 1060, 4180, 4447, 1692, 1024, 1096, 1493, 2900, 1196, 2309, 26891, 1573, 1005, 9626, 1708, 1009, 28750, 2695, 1528, 20, 30053, 1213, 1048, 4426, 1271, 18268, 1060, 14305, 1060, 1594, 11996, 5221, 9897, 2309, 27565, 1400, 4291, 20341, 1009, 1094, 1271, 1184, 21191, 7994, 1017, 1877, 1392, 1060, 6285, 5837, 1032, 1342, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 6232, 1159, 1068, 1006, 10361, 1049, 8277, 2320, 158, 1602, 1100, 18297, 1006, 27517, 1048, 3250, 1233, 8643, 1006, 1448, 1265, 1010, 4722, 1986, 1006, 4701, 1060, 8565, 1068, 3821, 20, 1776, 1852, 1060, 1681, 2154, 28037, 1233, 7116, 1068, 1006, 10361, 1060, 1594, 11996, 1685, 1533, 41, 9283, 18029, 4445, 1071, 1202, 2002, 1005, 31343, 1054, 7331, 3929, 9829, 1043, 3177, 4445, 1068, 7950, 2426, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1313, 6540, 9156, 5425, 8703, 1009, 10578, 3784, 2696, 21, 3109, 71, 1677, 1322, 1006, 9829, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 14818, 2794, 6767, 44, 21, 14437, 11427, 1007, 1034, 1009, 14818, 1096, 1094, 9829, 1048, 1160, 1225, 6239, 2275, 8384, 7296, 1068, 26891, 1573, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 12657, 1333, 10429, 1054, 3548, 16932, 1533, 41, 9283, 18029, 20458, 1026, 3439, 1009, 3548, 16932, 2155, 1495, 1006, 9829, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1160, 7133, 2873, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1009, 7273, 10019, 2032, 1071, 29631, 1067, 6767, 44, 21, 14437, 1308, 1534, 1044, 1548, 2974, 6239, 1029, 1005, 1620, 2574, 20121, 2166, 1006, 9829, 1009, 7273, 10019, 2032, 27684, 1006, 3821, 1060, 8565, 1009, 1387, 80, 1279, 13491, 4236, 1271, 9008, 1258, 1170, 1071, 96, 2801, 1009, 4113, 1303, 1277, 1364, 1135, 15, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 20203, 1069, 1006, 8565, 1009, 1387, 80, 1279, 1189, 1072, 5239, 7247, 1357, 8442, 9622, 10706, 1006, 2916, 1009, 1675, 1344, 83, 3250, 1044, 1215, 1035, 1099, 1303, 1233, 8643, 1043, 27517, 15652, 1006, 19341, 1009, 12241, 2106, 5745, 1049, 18334, 1005, 9008, 1258, 12316, 1128, 2576, 2122, 19341, 1005, 2159, 1166, 2916, 1009, 29973, 1344, 83, 3250, 1233, 8643, 1124, 12493, 1009, 4049, 2675, 6969, 8, 1005, 9220, 4096, 10019, 2032, 2100, 1205, 1336, 1005, 18297, 1118, 1989, 1090, 1625, 1627, 1048, 1006, 1044, 1415, 1009, 23083, 1184, 1233, 3349, 17188, 1371, 1054, 3439, 1009, 3548, 2920, 2154, 1048, 1213, 2729, 1009, 2916, 1009, 1487, 1344, 83, 1026, 5510, 1495, 1233, 9829, 1533, 41, 9283, 18029, 4445, 4519, 1943, 1137, 1308, 2321, 44, 4071 ]

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

[ 1087, 15, 2711, 3205, 1114, 3232, 2429, 9707, 2149, 0, 1349, 1132, 5891, 18405, 1233, 2779, 3547, 1236, 2691, 17061, 1452, 1048, 13876, 1054, 2350, 5852, 1049, 17523, 7766, 1026, 5847, 1327, 1307, 8121, 16757, 1602, 1166, 1005, 5142, 28, 5205, 1169, 5072, 22552, 1533, 2371, 75, 1759, 21596, 15818, 2447, 6706, 4299, 30277, 7919, 1049, 5549, 8250, 22303, 158, 3057, 1852, 1009, 3757, 8682, 1009, 3049, 1009, 6391, 1726, 1204, 5207, 9998, 6176, 30627, 17594, 11046, 1166, 1054, 1067, 21596, 15818, 2447, 6706, 4299, 30277, 7919, 1049, 5549, 8250, 22303, 158, 3057, 1852, 1009, 3757, 2503, 1780, 1295, 1691, 5911, 18, 23439, 1005, 4630, 1561, 2736, 1202, 4246, 6556, 1068, 14716, 1130, 1233, 2068, 1009, 10790, 8682, 1009, 3049, 1009, 6391, 1726, 26901, 4943, 9998, 6176, 30627, 17594, 11046, 1166, 1054, 1082, 5911, 18, 23439, 1005, 4630, 1561, 2736, 1202, 4246, 6556, 1068, 14716, 1130, 1233, 2068, 1009, 10790, 1, 4438, 1242, 1009, 1387, 80, 1279, 13491, 5306, 76, 20705, 89, 19279, 6413, 10361, 14860, 1087, 3198, 1324, 10361, 4948, 1079, 1022, 2469, 10361, 7273, 1187, 29074, 2457, 10361, 1868, 1199, 14669, 10361, 24443, 2515, 2457, 10361, 8277, 2320, 983, 1602, 1100, 10361, 1594, 11996, 5221, 10361, 3217, 1672, 10361, 7273, 10019, 1239, 2457, 10361, 29001, 2469, 10361, 1796, 1069, 5, 26653, 1576, 11941, 24128, 2689, 29156, 1940, 6253, 8157, 6584, 10888, 4580, 2135, 29010, 1940, 6253, 1009, 5306, 1546, 12556, 1035, 1009, 25296, 19287, 1209, 1009, 22770, 22647, 1467, 1362, 80, 2147, 12852, 1218, 1010, 1009, 1134, 6253, 1467, 2993, 2147, 1009, 1134, 6253, 1797, 1016, 1016, 1009, 1134, 6253, 1797, 1016, 1016, 1009, 1134, 6253, 1083, 1797, 1016, 1016, 1009, 1134, 6253, 1101, 2555, 24667, 18715, 1071, 1366, 1203, 1016, 28766, 1252, 4543, 1797, 2961, 1876, 17698, 1387, 80, 1279, 1189, 6593, 80, 1279, 1189, 1691, 4382, 1009, 1387, 80, 1279, 1189, 1576, 1007, 1242, 1576, 13849, 13486, 1797, 1208, 1645, 1605, 9591, 1576, 6393, 13758, 1097, 20, 3064, 5730, 18597, 3554, 1436, 1576, 1265, 4707, 1009, 1180, 3390, 1576, 1265, 4707, 1006, 5768, 1576, 1265, 4707, 1009, 3514, 1076, 1576, 1265, 4707, 1688, 22585, 1759, 1189, 1546, 1576, 1018, 1609, 2430, 20173, 14996, 2358, 3554, 1436, 6174, 4438, 1242, 1049, 5774, 1729, 1387, 80, 1279, 1189, 1605, 29149, 5712, 4948, 1079, 18498, 7273, 1187, 29074, 1868, 1199, 2051, 24443, 2515, 1691, 2675, 2320, 1818, 1385, 1594, 11996, 1685, 14818, 7273, 10019, 1239, 29001, 1239, 1796, 1069, 7572, 3407, 10475, 1058, 12529, 1040, 1124, 17819, 1184, 23161, 1068, 6564, 27657, 1071, 1926, 51, 1349, 1124, 18654, 1068, 1132, 1796, 1708, 1060, 28396, 1071, 2805, 15, 1005, 1124, 1184, 2900, 2905, 2309, 26891, 1573, 1005, 9626, 1708, 1009, 28750, 2695, 1528, 2794, 6767, 44, 21, 14437, 3377, 64, 85, 1104, 1705, 1152, 12517, 1104, 3422, 1576, 1007, 1034, 1009, 14860, 1087, 5712, 1071, 1926, 51, 1308, 5552, 6167, 21450, 1298, 9791, 12190, 11991, 1016, 13329, 1009, 4722, 1006, 5768, 20, 1972, 2709, 1837, 1094, 2750, 1198, 1117, 2166, 19595, 1278, 14343, 1114, 1449, 158, 27923, 1006, 3806, 10361, 1060, 27317, 29284, 2494, 1449, 158, 19941, 1026, 3872, 3177, 1096, 2328, 1009, 1044, 1746, 9823, 1048, 31286, 1006, 1558, 14331, 20018, 1266, 3277, 71, 19729, 4034, 1068, 1006, 22883, 1416, 1005, 1068, 19973, 1009, 15107, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 1063, 2741, 1236, 1009, 1387, 80, 1279, 1189, 1054, 19341, 3184, 1357, 9622, 23, 1404, 17483, 80, 1279, 1189, 5537, 18925, 71, 1565, 7141, 71, 1006, 9130, 1049, 27070, 1068, 25578, 2402, 4236, 1009, 14860, 1087, 3198, 1802, 10702, 1233, 15053, 1114, 3583, 1060, 14955, 1009, 3474, 1129, 1126, 1118, 1044, 1090, 1625, 1027, 3190, 2105, 2270, 3204, 3439, 9638, 1006, 19804, 1239, 1009, 1067, 3198, 1324, 7439, 5193, 1495, 1233, 1143, 96, 1060, 31161, 1063, 2924, 4169, 6071, 1996, 1060, 11295, 1322, 1006, 19804, 1239, 1009, 1067, 5712, 1620, 1049, 2790, 1155, 1645, 29674, 6423, 1233, 7116, 1005, 4054, 1118, 2122, 1090, 5916, 1048, 1213, 2729, 1009, 1307, 2718, 5510, 5193, 27468, 1278, 1495, 1233, 10361, 1009, 14860, 1087, 5712, 1533, 41, 9283, 18029, 4445, 1071, 1202, 2002, 1005, 31343, 1308, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1313, 41, 33, 9156, 1689, 33, 8703, 1009, 18216, 33, 2696, 33, 8079, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1060, 4948, 1079, 18498, 1071, 2805, 1308, 2584, 9829, 4671, 1005, 2574, 20121, 3567, 1156, 11290, 1068, 1132, 26904, 1060, 5154, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 2773, 1435, 1006, 9622, 10706, 1068, 10519, 18501, 1006, 8565, 9089, 19736, 2597, 1710, 1236, 1060, 24366, 28037, 1374, 15053, 1571, 3250, 9083, 156, 1007, 30878, 10871, 1067, 2327, 1118, 2122, 8442, 1009, 3190, 1065, 7941, 1495, 1213, 1852, 1005, 1289, 4595, 2122, 2921, 8442, 5898, 1054, 3439, 1009, 3548, 2920, 5330, 1067, 2327, 5193, 14249, 7657, 15417, 1124, 1080, 1174, 1189, 73, 1394, 1533, 41, 9283, 18029, 2054, 1236, 4417, 8399, 2191, 1009, 1746, 9823, 1308, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1160, 1576, 1007, 1242, 1009, 2882, 1018, 1187, 29074, 1071, 2805, 11427, 2139, 1049, 9089, 7117, 9829, 2574, 20121, 2166, 18654, 1068, 1132, 26904, 1060, 5154, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 5011, 1072, 9089, 7117, 2129, 1092, 1420, 1371, 1006, 8486, 1060, 8565, 1072, 9622, 10706, 20, 18192, 3250, 27517, 15652, 1006, 10361, 1009, 7273, 1187, 29074, 20, 1138, 3439, 1068, 1006, 10361, 1009, 7273, 1187, 29074, 1381, 1371, 1118, 8442, 1009, 3190, 1065, 7941, 1533, 41, 9283, 18029, 31343, 1005, 1475, 1019, 5781, 1054, 7331, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 11427, 1007, 1034, 1868, 1199, 2051, 1071, 2805, 11427, 2139, 1049, 9089, 7117, 9829, 2574, 20121, 2166, 18654, 1068, 1132, 26904, 1060, 5154, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 5011, 1072, 9089, 7117, 2129, 1092, 1420, 1371, 1006, 8486, 1060, 8565, 1072, 9622, 10706, 20, 18192, 3250, 27517, 15652, 1006, 10361, 1868, 1199, 2051, 20, 1138, 3439, 1068, 1006, 9829, 1060, 1868, 1199, 2051, 1096, 1054, 3548, 16932, 1533, 41, 9283, 18029, 4417, 15590, 7830, 1118, 1746, 9823, 1308, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1160, 1576, 1007, 1034, 1009, 24443, 2515, 1071, 1926, 51, 18927, 1081, 1497, 9829, 11843, 4236, 1060, 8565, 1009, 1387, 80, 1279, 13491, 1318, 2307, 4291, 5593, 7581, 1010, 1009, 1449, 1005, 4489, 20, 8609, 2974, 6239, 1029, 1005, 1004, 1146, 1728, 2899, 1222, 1006, 18833, 1752, 1472, 1184, 20121, 3567, 12463, 73, 1434, 1026, 1118, 8840, 1017, 1060, 18724, 17241, 1072, 7711, 3826, 1060, 9829, 1006, 1663, 8356, 1044, 15483, 1009, 4039, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 1482, 1387, 80, 1279, 13491, 3994, 1213, 16749, 6636, 1163, 1053, 84, 12086, 15288, 23642, 3250, 1044, 21826, 1043, 1006, 11980, 1068, 1006, 10361, 1060, 24443, 2515, 20, 1138, 3439, 1068, 1006, 27934, 1213, 2729, 1009, 1799, 1344, 11116, 1096, 3190, 2105, 1069, 1533, 41, 9283, 18029, 31343, 1005, 1475, 1019, 5781, 1054, 7331, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1080, 1930, 25046, 8703, 1009, 18216, 1576, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1009, 8277, 2320, 1818, 1385, 1071, 1926, 51, 11427, 1007, 1034, 1009, 15148, 6511, 10696, 11843, 1006, 2916, 1009, 1782, 1344, 83, 1060, 8565, 1009, 1387, 80, 1279, 13491, 1096, 9829, 7322, 1068, 6428, 4947, 15194, 1044, 6239, 1029, 19716, 1005, 14282, 9928, 89, 1009, 3790, 20, 12463, 6981, 1324, 1114, 2054, 1236, 1068, 1006, 9829, 1006, 17995, 7994, 1017, 7897, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 8602, 4701, 1060, 8565, 1009, 1387, 80, 1279, 1189, 1068, 7247, 3250, 1006, 1448, 1265, 1010, 4722, 1233, 8643, 1044, 1215, 1035, 1099, 1303, 1043, 27517, 15652, 1006, 19341, 1068, 1124, 17819, 1009, 8277, 2320, 1818, 1385, 1005, 1594, 11996, 9549, 1067, 2327, 1006, 14534, 2094, 24228, 1118, 2122, 8442, 1495, 2808, 1044, 5242, 7895, 4419, 1133, 1233, 8643, 1005, 18297, 1118, 2122, 8442, 1048, 1026, 5510, 1233, 10361, 1049, 8277, 2320, 1818, 1385, 1533, 41, 9283, 18029, 4445, 1071, 1202, 2002, 1005, 31343, 1054, 7331, 3929, 9829, 1043, 3177, 4445, 1068, 7950, 2426, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1313, 6540, 9156, 5425, 8703, 1009, 10578, 3784, 23865, 21, 3109, 71, 1154, 5600, 24550, 1400, 9361, 1009, 4181, 1823, 26408, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1060, 1594, 11996, 1685, 1071, 1926, 11077, 1067, 6767, 44, 21, 14437, 7199, 9829, 1009, 15148, 16343, 1060, 1594, 11996, 5221, 1668, 7859, 1118, 1044, 6239, 1029, 1043, 1184, 1009, 2191, 21706, 3070, 1009, 7614, 20, 4670, 1183, 1094, 3610, 1009, 4671, 3178, 31473, 1847, 1118, 1616, 1006, 2444, 16932, 1357, 5200, 1032, 1112, 1271, 19606, 1728, 1776, 7711, 3821, 4292, 1094, 18724, 16824, 1072, 2191, 1049, 16534, 1006, 1663, 8356, 1094, 18588, 16881, 73, 1377, 17615, 1060, 4180, 4447, 1692, 1024, 1096, 1493, 2900, 1196, 2309, 26891, 1573, 1005, 9626, 1708, 1009, 28750, 2695, 1528, 20, 30053, 1213, 1048, 4426, 1271, 18268, 1060, 14305, 1060, 1594, 11996, 5221, 9897, 2309, 27565, 1400, 4291, 20341, 1009, 1094, 1271, 1184, 21191, 7994, 1017, 1877, 1392, 1060, 6285, 5837, 1032, 1342, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 6232, 1159, 1068, 1006, 10361, 1049, 8277, 2320, 158, 1602, 1100, 18297, 1006, 27517, 1048, 3250, 1233, 8643, 1006, 1448, 1265, 1010, 4722, 1986, 1006, 4701, 1060, 8565, 1068, 3821, 20, 1776, 1852, 1060, 1681, 2154, 28037, 1233, 7116, 1068, 1006, 10361, 1060, 1594, 11996, 1685, 1533, 41, 9283, 18029, 4445, 1071, 1202, 2002, 1005, 31343, 1054, 7331, 3929, 9829, 1043, 3177, 4445, 1068, 7950, 2426, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1313, 6540, 9156, 5425, 8703, 1009, 10578, 3784, 2696, 21, 3109, 71, 1677, 1322, 1006, 9829, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1841, 4271, 1677, 1006, 4180, 4447, 1692, 1024, 1308, 16555, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 14818, 2794, 6767, 44, 21, 14437, 11427, 1007, 1034, 1009, 14818, 1096, 1094, 9829, 1048, 1160, 1225, 6239, 2275, 8384, 7296, 1068, 26891, 1573, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 12657, 1333, 10429, 1054, 3548, 16932, 1533, 41, 9283, 18029, 20458, 1026, 3439, 1009, 3548, 16932, 2155, 1495, 1006, 9829, 1059, 2321, 44, 4071, 9355, 56, 7270, 6767, 2545, 2818, 4772, 53, 8638, 32, 1160, 1225, 2098, 4071, 3726, 1205, 8524, 47, 13096, 32, 1160, 7133, 2873, 3490, 1068, 26891, 1573, 6136, 1590, 3975, 11427, 1007, 1034, 1009, 7273, 10019, 2032, 1071, 29631, 1067, 6767, 44, 21, 14437, 1308, 1534, 1044, 1548, 2974, 6239, 1029, 1005, 1620, 2574, 20121, 2166, 1006, 9829, 1009, 7273, 10019, 2032, 27684, 1006, 3821, 1060, 8565, 1009, 1387, 80, 1279, 13491, 4236, 1271, 9008, 1258, 1170, 1071, 96, 2801, 1009, 4113, 1303, 1277, 1364, 1135, 15, 2904, 46, 7146, 13096, 2818, 9128, 26910, 64, 6767, 32, 20203, 1069, 1006, 8565, 1009, 1387, 80, 1279, 1189, 1072, 5239, 7247, 1357, 8442, 9622, 10706, 1006, 2916, 1009, 1675, 1344, 83, 3250, 1044, 1215, 1035, 1099, 1303, 1233, 8643, 1043, 27517, 15652, 1006, 19341, 1009, 12241, 2106, 5745, 1049, 18334, 1005, 9008, 1258, 12316, 1128, 2576, 2122, 19341, 1005, 2159, 1166, 2916, 1009, 29973, 1344, 83, 3250, 1233, 8643, 1124, 12493, 1009, 4049, 2675, 6969, 8, 1005, 9220, 4096, 10019, 2032, 2100, 1205, 1336, 1005, 18297, 1118, 1989, 1090, 1625, 1627, 1048, 1006, 1044, 1415, 1009, 23083, 1184, 1233, 3349, 17188, 1371, 1054, 3439, 1009, 3548, 2920, 2154, 1048, 1213, 2729, 1009, 2916, 1009, 1487, 1344, 83, 1026, 5510, 1495, 1233, 9829, 1533, 41, 9283, 18029, 4445, 4519, 1943, 1137, 1308, 2321, 44, 4071 ]

[ 27092, 4913, 6689, 4747, 8532, 1026, 11919, 2204, 1018, 2488, 1344, 1523, 96, 1802, 9871, 2359, 1034, 1307, 2471, 3939, 31, 1059, 64, 1056, 13089, 1128, 39, 4437, 9093, 6103, 1084, 49, 20, 2026, 2023, 27176, 1344, 1523, 22463, 7974, 1056, 1105, 20, 6297, 20, 19301, 25552, 17699, 1409, 1033, 1227, 18, 1086, 6426, 6929, 16024, 2159, 3118, 85, 18422, 4518, 17063, 5405, 9539, 1172, 1020, 4225, 1020, 1047, 5539, 1014, 1036, 2861, 10139, 26182, 9871, 2359, 1411, 1307, 2394, 11774, 27746, 25, 3818, 2310, 1537, 675, 4225, 1020, 1047, 3300, 1014, 1036, 6912, 1024, 9764, 4889, 5, 675, 6031, 2847, 5, 675, 19152, 1252, 13963, 1060, 4149, 6577, 1009, 3811, 30586, 1, 30410, 80, 1078, 1102, 1096, 1044, 2446, 1009, 12896, 19626, 1009, 10370, 1104, 3263, 1009, 11387, 1040, 17378, 2166, 3106, 8192, 15, 21970, 1043, 1006, 6004, 1589, 9365, 14571, 1730, 3772, 12801, 5640, 30410, 80, 1078, 1102, 1693, 1178, 1863, 1402, 1054, 2848, 4267, 1898, 22199, 2363, 80, 1078, 1102, 1072, 91, 1167, 2363, 1175, 12896, 19383, 1305, 26740, 2995, 75, 2363, 80, 1078, 1102, 1175, 2574, 14163, 1188, 2995, 75, 2363, 80, 1078, 1102, 11412, 1875, 2694, 1175, 30321, 1294, 10070, 9388, 1301, 5282, 7264, 1447, 3259, 1049, 1123, 1628, 1577, 2995, 75, 2363, 80, 1078, 1102, 6966, 1175, 1043, 5169, 1187, 22943, 1071, 6575, 2057, 2325, 3692, 1106, 1792, 1875, 2196, 1574, 2060, 1701, 1400, 1062, 169, 1133, 1009, 1106, 1792, 1875, 2196, 28712, 6630, 1324, 4510, 79, 4296, 1273, 7501, 2889, 18, 3514, 1075, 1021, 1233, 1205, 11545, 1123, 2874, 14311, 5280, 1574, 4296, 1273, 9688, 3840, 83, 2356, 20, 11203, 1327, 1132, 3460, 3868, 75, 2363, 80, 1078, 1102, 1072, 91, 1167, 2363, 3436, 30410, 80, 1078, 1102, 1184, 3201, 1096, 1026, 30410, 80, 1078, 1102, 1072, 91, 1167, 14440, 1044, 12896, 5102, 1048, 2947, 9763, 1068, 1026, 7357, 6151, 1791, 3952, 1986, 1006, 19417, 9561, 1063, 8685, 1049, 6732, 2363, 80, 1078, 1102, 1072, 91, 1167, 2363, 1096, 5323, 1713, 2309, 3302, 14127, 1048, 13326, 1026, 12896, 17949, 1927, 1114, 5994, 9707, 1049, 3681, 1009, 29571, 4490, 8685, 1096, 19446, 1043, 1006, 29533, 7565, 2152, 30410, 80, 1078, 1102, 1144, 11525, 19167, 1090, 1238, 11941, 19634, 7759, 1537, 132, 8481, 1006, 2323, 1271, 31384, 1016, 22222, 19828, 1118, 1044, 2568, 3201, 1159, 5049, 4372, 1429, 72, 18828, 1571, 1124, 31384, 1016, 2425, 3365, 1046, 1054, 12232, 1016, 1305, 16935, 7895, 1063, 5913, 1060, 6004, 1589, 1096, 3074, 1713, 1357, 2425, 20764, 1879, 1144, 11525, 2363, 1096, 1044, 12896, 1493, 5686, 1599, 7743, 1005, 14540, 8280, 21328, 9253, 16293, 10716, 20177, 1005, 1976, 1178, 4373, 1188, 1006, 1094, 5789, 1184, 6167, 1048, 1734, 17798, 14197, 6151, 2322, 0, 17388, 21328, 1178, 21559, 1495, 4234, 3952, 1060, 13304, 3868, 75, 2363, 80, 1078, 1102, 10222, 24329, 1006, 1712, 1751, 1060, 15103, 9454, 1006, 17074, 1172, 82, 21, 10636, 2013, 4678, 3723, 1890, 1026, 1901, 1159, 1044, 12896, 1271, 2848, 10900, 20, 2013, 1044, 1187, 6734, 20784, 1048, 1058, 30393, 1006, 4320, 4867, 1021, 15115, 21328, 1178, 21559, 1054, 1044, 1901, 1206, 1791, 1006, 2323, 1060, 19417, 9561, 7177, 1106, 1418, 80, 1078, 1102, 1096, 1044, 12896, 5686, 1069, 1071, 1263, 5854, 1229, 1033, 1202, 2005, 29058, 7088, 1349, 1493, 19430, 13779, 15541, 23179, 1114, 24650, 1064, 95, 20337, 1009, 12234, 1781, 1294, 1080, 11256, 3020, 1009, 12412, 1081, 1005, 1294, 1080, 1105, 88, 7709, 1415, 26427, 9378, 3868, 75, 2363, 80, 1078, 1102, 11412, 1875, 2694, 1797, 2630, 1009, 1083, 11774, 3305, 1031, 13748, 21609, 1026, 30410, 80, 1078, 1102, 6785, 1875, 1165, 1400, 1054, 10070, 9388, 1016, 1049, 1123, 1628, 1577, 1005, 1009, 2741, 1550, 23800, 1095, 5537, 85, 1336, 1005, 1307, 14205, 19480, 12867, 1009, 18258, 3155, 9080, 1879, 30410, 80, 1078, 1102, 11412, 1875, 2694, 1096, 1044, 12896, 5686, 1069, 1005, 2232, 17970, 1599, 1048, 17318, 1124, 5625, 1009, 1235, 1261, 1035, 8607, 7849, 1326, 1070, 1166, 1054, 27605, 1009, 11569, 1177, 1005, 6239, 1411, 1132, 30410, 80, 1078, 1102, 11412, 1875, 2694, 9977, 1094, 1359, 5177, 1126, 1043, 7397, 1010, 10739, 1420, 1005, 1086, 3180, 3893, 1043, 19430, 1016, 1009, 15735, 29447, 1571, 6097, 1046, 1026, 10190, 1020, 1005, 1026, 3396, 84, 15904, 4395, 84, 6144, 1327, 12772, 1054, 6019, 1009, 3886, 12084, 21, 1107, 1009, 30410, 80, 1078, 1102, 11412, 1875, 2694, 1294, 8856, 2621, 1107, 1009, 1050, 2447, 3868, 75, 2363, 80, 1078, 1102, 6966, 2995, 75, 2363, 80, 1078, 1102, 4292, 1054, 1782, 2625, 1968, 1093, 32, 1257, 1574, 2060, 1701, 1400, 1106, 1792, 1875, 2196, 1123, 2874, 14311, 158, 32, 20784, 1756, 1400, 5686, 1166, 1005, 1011, 7518, 5157, 1043, 18076, 1016, 25446, 1005, 26617, 1276, 4510, 79, 4296, 1273, 28712, 6630, 1324, 1062, 169, 1133, 1009, 1106, 1792, 1875, 2196, 1809, 3840, 83, 2356, 2856, 6515, 3023, 28218, 1043, 11552, 2972, 17138, 2255, 19430, 1016, 1009, 24006, 2629, 1273, 3494, 3308, 1005, 1903, 21043, 1257, 1574, 4296, 1273, 3514, 1075, 24598, 149, 11412, 1032, 1005, 7501, 2889, 32, 1686, 3368, 5177, 1229, 20783, 2255, 1043, 9496, 1009, 1317, 3198, 71, 1005, 10739, 11696, 27780, 1178, 5674, 1166, 1184, 1557, 1049, 1048, 1734, 30410, 80, 1078, 1102, 6958, 1487, 1006, 1782, 28330, 1005, 18833, 1853, 1043, 1026, 4125, 1049, 8410, 22616, 3342, 1060, 4590, 1110, 1131, 32, 22199, 2363, 80, 1078, 1102, 9, 8251, 2057, 2325, 1051, 1, 1123, 1127, 19839, 1206, 1380, 1127, 19839, 1096, 1026, 21861, 19675, 1049, 11033, 5121, 1044, 1187, 6648, 1184, 4412, 1060, 10598, 8606, 10583, 150, 3863, 1054, 1664, 1132, 8641, 1452, 6977, 8559, 1060, 23607, 1236, 15, 1005, 1463, 1184, 2625, 14205, 17843, 1049, 3591, 7043, 4634, 1009, 2125, 6616, 1009, 1783, 1376, 14425, 1668, 10739, 1029, 1664, 1132, 2250, 2170, 1054, 4732, 1009, 2285, 1009, 6709, 18635, 1711, 1072, 6912, 2037, 7910, 4547, 19417, 5602, 4637, 3784, 23120, 72, 31971, 6091, 1005, 6894, 1711, 18, 5759, 1006, 1712, 4751, 9482, 1049, 7118, 1063, 2935, 5178, 1009, 16745, 1114, 3832, 1009, 3837, 1049, 3009, 20992, 1516, 4260, 1006, 12774, 2744, 1009, 10338, 3273, 2097, 1006, 2236, 18643, 1140, 9793, 1393, 1132, 9377, 2744, 1009, 24252, 2893, 1016, 6151, 10757, 5715, 1049, 4796, 1138, 2461, 5787, 1657, 2156, 1327, 18643, 1312, 32, 1006, 1184, 20983, 1236, 1138, 2461, 2112, 1015, 8736, 1009, 4599, 16297, 7989, 1463, 24416, 11177, 1634, 1961, 1151, 1179, 1056, 1145, 1005, 7702, 1961, 1005, 1138, 2461, 2112, 6166, 1182, 1014, 1610, 1126, 1009, 4599, 10447, 9549, 6126, 2349, 1312, 1132, 3145, 10418, 16514, 1327, 1006, 5310, 1005, 1006, 17296, 1048, 1318, 1327, 1132, 4029, 10829, 20, 2034, 16090, 1049, 21861, 1009, 11033, 5121, 1005, 1224, 2928, 1223, 20184, 1006, 2323, 1009, 5715, 9600, 18174, 6029, 1012, 1046, 1233, 1516, 4208, 21375, 33, 1072, 2268, 1026, 3090, 1049, 21861, 1009, 16745, 1298, 1178, 3315, 1069, 1043, 6553, 5068, 1495, 1487, 2621, 1063, 24142, 1114, 2236, 1049, 3821, 1060, 12661, 1005, 1890, 1026, 5512, 1910, 7400, 1114, 27891, 1358, 3097, 3184, 1060, 5310, 1005, 6054, 1049, 27891, 3772, 1625, 11516, 1250, 1096, 1094, 2706, 16297, 29813, 11014, 2413, 1049, 5108, 3702, 1849, 1091, 27313, 17981, 3461, 8519, 1096, 1026, 2535, 1049, 14241, 25108, 1672, 13883, 1027, 1005, 15932, 91, 152, 1349, 1006, 2706, 1009, 16745, 1096, 1493, 12898, 1377, 8001, 1392, 1910, 1937, 1074, 1009, 21861, 1596, 20115, 1005, 4548, 1114, 28923, 3124, 1048, 6293, 1006, 2413, 1006, 1712, 17976, 2429, 1043, 1628, 1459, 11402, 1037, 1031, 1544, 1009, 2935, 12613, 4029, 10418, 1009, 16745, 1054, 4483, 2829, 2083, 40, 1405, 16153, 6300, 30642, 1693, 1178, 30034, 1312, 1043, 1006, 3111, 25358, 1118, 2635, 2485, 1006, 2323, 1009, 1044, 3311, 1184, 3011, 1599, 1006, 2323, 1009, 9028, 8864, 1206, 1009, 8821, 1452, 21099, 1206, 1298, 1006, 3111, 2033, 1130, 1009, 13244, 1005, 9254, 1273, 1118, 10121, 1048, 1006, 10898, 1648, 1049, 22418, 1726, 2624, 1043, 1006, 7461, 1009, 2416, 1055, 1118, 22962, 1006, 29803, 1206, 5308, 88, 6997, 14327, 9078, 1327, 1124, 1184, 13592, 1072, 2497, 1049, 2293, 3279, 1049, 2709, 3772, 1819, 21670, 1239, 1049, 2709, 1159, 1006, 3861, 3267, 1049, 11033, 5121, 1054, 20322, 1006, 3005, 1006, 1641, 7522, 1034, 1006, 14179, 2769, 1049, 28580, 96, 4015, 1051, 20839, 96, 1349, 1026, 1712, 3366, 1380, 1127, 162, 4170, 1271, 29888, 1005, 1026, 2277, 1072, 1784, 1879, 1831, 10053, 1072, 13769, 3267, 1096, 1026, 3338, 1009, 10969, 2091, 8107, 1043, 1094, 2935, 1009, 16681, 3211, 25, 4059, 10338, 3273, 12227, 1006, 7583, 13842, 1060, 2935, 1380, 1127, 162, 4170, 1049, 30788, 29936, 1026, 2277, 10053, 6136, 1076, 2527, 15, 1054, 2916, 1009, 2523, 24, 1910, 12845, 7542, 14442, 13175, 6054, 1049, 3514, 1222, 1385, 4548, 1422, 2621, 24252, 3800, 1318, 1257, 28580, 96, 5, 14743, 3133, 77, 7710, 1118, 2127, 1149, 11479, 1035, 96, 1, 12825, 30660, 4045, 1656, 3933, 1307, 1009, 2436, 1009, 1578, 5248, 1479, 25514, 2971, 1131, 3049, 1009, 22871, 15, 1195, 1044, 6273, 8915, 1291, 24259, 1044, 1187, 4181, 30890, 1009, 12231, 10107, 29756, 18, 1043, 2306, 9905, 5630, 10934, 1482, 1094, 9209, 29756, 1058, 4730, 1379, 1006, 1264, 1159, 6040, 28746, 1853, 10031, 121, 7587, 3133, 4050, 23640, 10165, 1054, 1094, 2531, 7058, 1034, 25079, 1518, 1009, 1106, 1656, 3933, 5404, 1456, 5364, 1009, 11827, 1054, 4658, 23, 1005, 5543, 1054, 4280, 1043, 1006, 6273, 1056, 11163, 1054, 2079, 6630, 5052, 2328, 1009, 9129, 30347, 20916, 20, 1482, 29157, 18893, 1043, 1207, 1171, 17438, 1106, 16864, 4640, 1870, 1043, 2306, 2569, 1044, 3419, 1005, 1094, 5380, 33, 2237, 3808, 1318, 1195, 6273, 8915, 1291, 1005, 5444, 1094, 24378, 1009, 1235, 3372, 32, 12825, 11083, 23640, 24378, 1098, 19870, 1140, 2286, 29065, 2962, 2923, 1054, 14520, 1005, 8311, 29756, 18, 1048, 1026, 1455, 1017, 1266, 1079, 1213, 2417, 1009, 1456, 13248, 1184, 4500, 1229, 1132, 1048, 1598, 2241, 1026, 3509, 11844, 1187, 19801, 2376, 4543, 28520, 1069, 1992, 2246, 1752, 1044, 1187, 3948, 3661, 1044, 17093, 1009, 29756, 1159, 7196, 1009, 1224, 6992, 25001, 25665, 15014, 1006, 8699, 14285, 8915, 5803, 1009, 25514, 1048, 7607, 1379, 1495, 1224, 19238, 4490, 8515, 1026, 17283, 1072, 1831, 6273, 8915, 1291, 7719, 1006, 1261, 1044, 5118, 1939, 6273, 8915, 14764, 4788, 3942, 28004, 1009, 19048, 1060, 5744, 4594, 14285, 8915, 5803, 1009, 7976, 2394, 30660, 5589, 1079, 1006, 8797, 1717, 20916, 18, 1511, 1668, 27026, 1233, 11990, 1060, 5744, 1005, 30660, 1195, 6738, 2670, 16279, 1939, 20, 1063, 2323, 1049, 29099, 28004, 7607, 1379, 1006, 7272, 1890, 19166, 4844, 5845, 1006, 8020, 3578, 12126, 7289, 1094, 5681, 4552, 30530, 3087, 1114, 3349, 19866, 1005, 7062, 2848, 1646, 1006, 5333, 1060, 2921, 7432, 25493, 1009, 6088, 28684, 18768, 1021, 1365, 21655, 1005, 7466, 2400, 1005, 29619, 1318, 1734, 6273, 8915, 1573, 6832, 2223, 2494, 10877, 10083, 1159, 6867, 1017, 1009, 1044, 28419, 2417, 1009, 3731, 5430, 1159, 1344, 10216, 1207, 24137, 2196, 6208, 2662, 20823, 7790, 1005, 12210, 14819, 3242, 13442, 1054, 2971, 1009, 3049, 1009, 7466, 2400, 1679, 9417, 2864, 9563, 1009, 1094, 5946, 1009, 19760, 1027, 5339, 1520, 1303, 3133, 1521, 1048, 3241, 2281, 1044, 1187, 30890, 1184, 22326, 1009, 29756, 18, 30660, 31012, 2350, 9312, 1322, 1006, 9026, 1060, 19230, 1027, 1009, 19238, 5024, 5762, 7781, 1291, 3684, 2521, 4305, 1043, 4961, 1006, 8083, 1009, 16086, 9268, 93, 4938, 18, 2464, 1054, 7466, 2471, 5692, 7737, 1044, 2403, 1322, 1006, 6273, 1056, 1828, 12813, 1043, 29756, 1159, 26316, 20, 30660, 3708, 3068, 8083, 1094, 9209, 31199, 1068, 4114, 3033, 1006, 6273, 1056, 1828, 12813, 1309, 1058, 5969, 2865, 1043, 1026, 2476, 22622, 22130, 1069, 1009, 29756, 1005, 1009, 1734, 10309, 22119, 14697, 7222, 20916, 18, 1163, 158, 2112, 1123, 168, 13052, 1005, 27176, 28988, 4041, 30660, 3043, 1079, 1009, 7682, 1006, 6704, 6273, 8915, 5803, 1068, 9202, 1132, 1025, 7010, 21699, 1005, 14541, 8124, 20, 1482, 1224, 30496, 2762, 8701, 21894, 1096, 1044, 23560, 1060, 1834, 4552, 5624, 1145, 8200, 1187, 7912, 1229, 4836, 4932, 1871, 4625, 1140, 15, 1132, 19611, 1060, 9850, 1187, 11872, 8, 3106, 4050, 3847, 3303, 32, 1422, 4681, 2474, 1078, 20302, 1043, 1235, 8349, 1072, 4545, 1187, 30294, 1607, 14918, 4974, 2181, 6875, 1679, 2688, 29756, 26565, 1235, 10176, 1142, 2483, 1005, 24702, 1399, 1034, 1967, 3665, 1565, 4225, 1020, 1079, 1006, 6704, 2019, 1302, 2860, 1322, 1124, 6982, 1049, 3090, 1060, 6117, 1071, 31911, 1005, 3731, 1349, 1109, 13612, 15486, 1752, 1094, 8545, 1054, 2156, 15537, 2286, 1224, 3733, 3911, 1079, 1318, 1734, 1225, 1273, 1159, 1006, 20854, 2485, 1124, 4552, 1391, 1400, 1124, 4208, 5214 ]

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

[ 27092, 4913, 6689, 4747, 8532, 1026, 11919, 2204, 1018, 2488, 1344, 1523, 96, 1802, 9871, 2359, 1034, 1307, 2471, 3939, 31, 1059, 64, 1056, 13089, 1128, 39, 4437, 9093, 6103, 1084, 49, 20, 2026, 2023, 27176, 1344, 1523, 22463, 7974, 1056, 1105, 20, 6297, 20, 19301, 25552, 17699, 1409, 1033, 1227, 18, 1086, 6426, 6929, 16024, 2159, 3118, 85, 18422, 4518, 17063, 5405, 9539, 1172, 1020, 4225, 1020, 1047, 5539, 1014, 1036, 2861, 10139, 26182, 9871, 2359, 1411, 1307, 2394, 11774, 27746, 25, 3818, 2310, 1537, 675, 4225, 1020, 1047, 3300, 1014, 1036, 6912, 1024, 9764, 4889, 5, 675, 6031, 2847, 5, 675, 19152, 1252, 13963, 1060, 4149, 6577, 1009, 3811, 30586, 1, 30410, 80, 1078, 1102, 1096, 1044, 2446, 1009, 12896, 19626, 1009, 10370, 1104, 3263, 1009, 11387, 1040, 17378, 2166, 3106, 8192, 15, 21970, 1043, 1006, 6004, 1589, 9365, 14571, 1730, 3772, 12801, 5640, 30410, 80, 1078, 1102, 1693, 1178, 1863, 1402, 1054, 2848, 4267, 1898, 22199, 2363, 80, 1078, 1102, 1072, 91, 1167, 2363, 1175, 12896, 19383, 1305, 26740, 2995, 75, 2363, 80, 1078, 1102, 1175, 2574, 14163, 1188, 2995, 75, 2363, 80, 1078, 1102, 11412, 1875, 2694, 1175, 30321, 1294, 10070, 9388, 1301, 5282, 7264, 1447, 3259, 1049, 1123, 1628, 1577, 2995, 75, 2363, 80, 1078, 1102, 6966, 1175, 1043, 5169, 1187, 22943, 1071, 6575, 2057, 2325, 3692, 1106, 1792, 1875, 2196, 1574, 2060, 1701, 1400, 1062, 169, 1133, 1009, 1106, 1792, 1875, 2196, 28712, 6630, 1324, 4510, 79, 4296, 1273, 7501, 2889, 18, 3514, 1075, 1021, 1233, 1205, 11545, 1123, 2874, 14311, 5280, 1574, 4296, 1273, 9688, 3840, 83, 2356, 20, 11203, 1327, 1132, 3460, 3868, 75, 2363, 80, 1078, 1102, 1072, 91, 1167, 2363, 3436, 30410, 80, 1078, 1102, 1184, 3201, 1096, 1026, 30410, 80, 1078, 1102, 1072, 91, 1167, 14440, 1044, 12896, 5102, 1048, 2947, 9763, 1068, 1026, 7357, 6151, 1791, 3952, 1986, 1006, 19417, 9561, 1063, 8685, 1049, 6732, 2363, 80, 1078, 1102, 1072, 91, 1167, 2363, 1096, 5323, 1713, 2309, 3302, 14127, 1048, 13326, 1026, 12896, 17949, 1927, 1114, 5994, 9707, 1049, 3681, 1009, 29571, 4490, 8685, 1096, 19446, 1043, 1006, 29533, 7565, 2152, 30410, 80, 1078, 1102, 1144, 11525, 19167, 1090, 1238, 11941, 19634, 7759, 1537, 132, 8481, 1006, 2323, 1271, 31384, 1016, 22222, 19828, 1118, 1044, 2568, 3201, 1159, 5049, 4372, 1429, 72, 18828, 1571, 1124, 31384, 1016, 2425, 3365, 1046, 1054, 12232, 1016, 1305, 16935, 7895, 1063, 5913, 1060, 6004, 1589, 1096, 3074, 1713, 1357, 2425, 20764, 1879, 1144, 11525, 2363, 1096, 1044, 12896, 1493, 5686, 1599, 7743, 1005, 14540, 8280, 21328, 9253, 16293, 10716, 20177, 1005, 1976, 1178, 4373, 1188, 1006, 1094, 5789, 1184, 6167, 1048, 1734, 17798, 14197, 6151, 2322, 0, 17388, 21328, 1178, 21559, 1495, 4234, 3952, 1060, 13304, 3868, 75, 2363, 80, 1078, 1102, 10222, 24329, 1006, 1712, 1751, 1060, 15103, 9454, 1006, 17074, 1172, 82, 21, 10636, 2013, 4678, 3723, 1890, 1026, 1901, 1159, 1044, 12896, 1271, 2848, 10900, 20, 2013, 1044, 1187, 6734, 20784, 1048, 1058, 30393, 1006, 4320, 4867, 1021, 15115, 21328, 1178, 21559, 1054, 1044, 1901, 1206, 1791, 1006, 2323, 1060, 19417, 9561, 7177, 1106, 1418, 80, 1078, 1102, 1096, 1044, 12896, 5686, 1069, 1071, 1263, 5854, 1229, 1033, 1202, 2005, 29058, 7088, 1349, 1493, 19430, 13779, 15541, 23179, 1114, 24650, 1064, 95, 20337, 1009, 12234, 1781, 1294, 1080, 11256, 3020, 1009, 12412, 1081, 1005, 1294, 1080, 1105, 88, 7709, 1415, 26427, 9378, 3868, 75, 2363, 80, 1078, 1102, 11412, 1875, 2694, 1797, 2630, 1009, 1083, 11774, 3305, 1031, 13748, 21609, 1026, 30410, 80, 1078, 1102, 6785, 1875, 1165, 1400, 1054, 10070, 9388, 1016, 1049, 1123, 1628, 1577, 1005, 1009, 2741, 1550, 23800, 1095, 5537, 85, 1336, 1005, 1307, 14205, 19480, 12867, 1009, 18258, 3155, 9080, 1879, 30410, 80, 1078, 1102, 11412, 1875, 2694, 1096, 1044, 12896, 5686, 1069, 1005, 2232, 17970, 1599, 1048, 17318, 1124, 5625, 1009, 1235, 1261, 1035, 8607, 7849, 1326, 1070, 1166, 1054, 27605, 1009, 11569, 1177, 1005, 6239, 1411, 1132, 30410, 80, 1078, 1102, 11412, 1875, 2694, 9977, 1094, 1359, 5177, 1126, 1043, 7397, 1010, 10739, 1420, 1005, 1086, 3180, 3893, 1043, 19430, 1016, 1009, 15735, 29447, 1571, 6097, 1046, 1026, 10190, 1020, 1005, 1026, 3396, 84, 15904, 4395, 84, 6144, 1327, 12772, 1054, 6019, 1009, 3886, 12084, 21, 1107, 1009, 30410, 80, 1078, 1102, 11412, 1875, 2694, 1294, 8856, 2621, 1107, 1009, 1050, 2447, 3868, 75, 2363, 80, 1078, 1102, 6966, 2995, 75, 2363, 80, 1078, 1102, 4292, 1054, 1782, 2625, 1968, 1093, 32, 1257, 1574, 2060, 1701, 1400, 1106, 1792, 1875, 2196, 1123, 2874, 14311, 158, 32, 20784, 1756, 1400, 5686, 1166, 1005, 1011, 7518, 5157, 1043, 18076, 1016, 25446, 1005, 26617, 1276, 4510, 79, 4296, 1273, 28712, 6630, 1324, 1062, 169, 1133, 1009, 1106, 1792, 1875, 2196, 1809, 3840, 83, 2356, 2856, 6515, 3023, 28218, 1043, 11552, 2972, 17138, 2255, 19430, 1016, 1009, 24006, 2629, 1273, 3494, 3308, 1005, 1903, 21043, 1257, 1574, 4296, 1273, 3514, 1075, 24598, 149, 11412, 1032, 1005, 7501, 2889, 32, 1686, 3368, 5177, 1229, 20783, 2255, 1043, 9496, 1009, 1317, 3198, 71, 1005, 10739, 11696, 27780, 1178, 5674, 1166, 1184, 1557, 1049, 1048, 1734, 30410, 80, 1078, 1102, 6958, 1487, 1006, 1782, 28330, 1005, 18833, 1853, 1043, 1026, 4125, 1049, 8410, 22616, 3342, 1060, 4590, 1110, 1131, 32, 22199, 2363, 80, 1078, 1102, 9, 8251, 2057, 2325, 1051, 1, 1123, 1127, 19839, 1206, 1380, 1127, 19839, 1096, 1026, 21861, 19675, 1049, 11033, 5121, 1044, 1187, 6648, 1184, 4412, 1060, 10598, 8606, 10583, 150, 3863, 1054, 1664, 1132, 8641, 1452, 6977, 8559, 1060, 23607, 1236, 15, 1005, 1463, 1184, 2625, 14205, 17843, 1049, 3591, 7043, 4634, 1009, 2125, 6616, 1009, 1783, 1376, 14425, 1668, 10739, 1029, 1664, 1132, 2250, 2170, 1054, 4732, 1009, 2285, 1009, 6709, 18635, 1711, 1072, 6912, 2037, 7910, 4547, 19417, 5602, 4637, 3784, 23120, 72, 31971, 6091, 1005, 6894, 1711, 18, 5759, 1006, 1712, 4751, 9482, 1049, 7118, 1063, 2935, 5178, 1009, 16745, 1114, 3832, 1009, 3837, 1049, 3009, 20992, 1516, 4260, 1006, 12774, 2744, 1009, 10338, 3273, 2097, 1006, 2236, 18643, 1140, 9793, 1393, 1132, 9377, 2744, 1009, 24252, 2893, 1016, 6151, 10757, 5715, 1049, 4796, 1138, 2461, 5787, 1657, 2156, 1327, 18643, 1312, 32, 1006, 1184, 20983, 1236, 1138, 2461, 2112, 1015, 8736, 1009, 4599, 16297, 7989, 1463, 24416, 11177, 1634, 1961, 1151, 1179, 1056, 1145, 1005, 7702, 1961, 1005, 1138, 2461, 2112, 6166, 1182, 1014, 1610, 1126, 1009, 4599, 10447, 9549, 6126, 2349, 1312, 1132, 3145, 10418, 16514, 1327, 1006, 5310, 1005, 1006, 17296, 1048, 1318, 1327, 1132, 4029, 10829, 20, 2034, 16090, 1049, 21861, 1009, 11033, 5121, 1005, 1224, 2928, 1223, 20184, 1006, 2323, 1009, 5715, 9600, 18174, 6029, 1012, 1046, 1233, 1516, 4208, 21375, 33, 1072, 2268, 1026, 3090, 1049, 21861, 1009, 16745, 1298, 1178, 3315, 1069, 1043, 6553, 5068, 1495, 1487, 2621, 1063, 24142, 1114, 2236, 1049, 3821, 1060, 12661, 1005, 1890, 1026, 5512, 1910, 7400, 1114, 27891, 1358, 3097, 3184, 1060, 5310, 1005, 6054, 1049, 27891, 3772, 1625, 11516, 1250, 1096, 1094, 2706, 16297, 29813, 11014, 2413, 1049, 5108, 3702, 1849, 1091, 27313, 17981, 3461, 8519, 1096, 1026, 2535, 1049, 14241, 25108, 1672, 13883, 1027, 1005, 15932, 91, 152, 1349, 1006, 2706, 1009, 16745, 1096, 1493, 12898, 1377, 8001, 1392, 1910, 1937, 1074, 1009, 21861, 1596, 20115, 1005, 4548, 1114, 28923, 3124, 1048, 6293, 1006, 2413, 1006, 1712, 17976, 2429, 1043, 1628, 1459, 11402, 1037, 1031, 1544, 1009, 2935, 12613, 4029, 10418, 1009, 16745, 1054, 4483, 2829, 2083, 40, 1405, 16153, 6300, 30642, 1693, 1178, 30034, 1312, 1043, 1006, 3111, 25358, 1118, 2635, 2485, 1006, 2323, 1009, 1044, 3311, 1184, 3011, 1599, 1006, 2323, 1009, 9028, 8864, 1206, 1009, 8821, 1452, 21099, 1206, 1298, 1006, 3111, 2033, 1130, 1009, 13244, 1005, 9254, 1273, 1118, 10121, 1048, 1006, 10898, 1648, 1049, 22418, 1726, 2624, 1043, 1006, 7461, 1009, 2416, 1055, 1118, 22962, 1006, 29803, 1206, 5308, 88, 6997, 14327, 9078, 1327, 1124, 1184, 13592, 1072, 2497, 1049, 2293, 3279, 1049, 2709, 3772, 1819, 21670, 1239, 1049, 2709, 1159, 1006, 3861, 3267, 1049, 11033, 5121, 1054, 20322, 1006, 3005, 1006, 1641, 7522, 1034, 1006, 14179, 2769, 1049, 28580, 96, 4015, 1051, 20839, 96, 1349, 1026, 1712, 3366, 1380, 1127, 162, 4170, 1271, 29888, 1005, 1026, 2277, 1072, 1784, 1879, 1831, 10053, 1072, 13769, 3267, 1096, 1026, 3338, 1009, 10969, 2091, 8107, 1043, 1094, 2935, 1009, 16681, 3211, 25, 4059, 10338, 3273, 12227, 1006, 7583, 13842, 1060, 2935, 1380, 1127, 162, 4170, 1049, 30788, 29936, 1026, 2277, 10053, 6136, 1076, 2527, 15, 1054, 2916, 1009, 2523, 24, 1910, 12845, 7542, 14442, 13175, 6054, 1049, 3514, 1222, 1385, 4548, 1422, 2621, 24252, 3800, 1318, 1257, 28580, 96, 5, 14743, 3133, 77, 7710, 1118, 2127, 1149, 11479, 1035, 96, 1, 12825, 30660, 4045, 1656, 3933, 1307, 1009, 2436, 1009, 1578, 5248, 1479, 25514, 2971, 1131, 3049, 1009, 22871, 15, 1195, 1044, 6273, 8915, 1291, 24259, 1044, 1187, 4181, 30890, 1009, 12231, 10107, 29756, 18, 1043, 2306, 9905, 5630, 10934, 1482, 1094, 9209, 29756, 1058, 4730, 1379, 1006, 1264, 1159, 6040, 28746, 1853, 10031, 121, 7587, 3133, 4050, 23640, 10165, 1054, 1094, 2531, 7058, 1034, 25079, 1518, 1009, 1106, 1656, 3933, 5404, 1456, 5364, 1009, 11827, 1054, 4658, 23, 1005, 5543, 1054, 4280, 1043, 1006, 6273, 1056, 11163, 1054, 2079, 6630, 5052, 2328, 1009, 9129, 30347, 20916, 20, 1482, 29157, 18893, 1043, 1207, 1171, 17438, 1106, 16864, 4640, 1870, 1043, 2306, 2569, 1044, 3419, 1005, 1094, 5380, 33, 2237, 3808, 1318, 1195, 6273, 8915, 1291, 1005, 5444, 1094, 24378, 1009, 1235, 3372, 32, 12825, 11083, 23640, 24378, 1098, 19870, 1140, 2286, 29065, 2962, 2923, 1054, 14520, 1005, 8311, 29756, 18, 1048, 1026, 1455, 1017, 1266, 1079, 1213, 2417, 1009, 1456, 13248, 1184, 4500, 1229, 1132, 1048, 1598, 2241, 1026, 3509, 11844, 1187, 19801, 2376, 4543, 28520, 1069, 1992, 2246, 1752, 1044, 1187, 3948, 3661, 1044, 17093, 1009, 29756, 1159, 7196, 1009, 1224, 6992, 25001, 25665, 15014, 1006, 8699, 14285, 8915, 5803, 1009, 25514, 1048, 7607, 1379, 1495, 1224, 19238, 4490, 8515, 1026, 17283, 1072, 1831, 6273, 8915, 1291, 7719, 1006, 1261, 1044, 5118, 1939, 6273, 8915, 14764, 4788, 3942, 28004, 1009, 19048, 1060, 5744, 4594, 14285, 8915, 5803, 1009, 7976, 2394, 30660, 5589, 1079, 1006, 8797, 1717, 20916, 18, 1511, 1668, 27026, 1233, 11990, 1060, 5744, 1005, 30660, 1195, 6738, 2670, 16279, 1939, 20, 1063, 2323, 1049, 29099, 28004, 7607, 1379, 1006, 7272, 1890, 19166, 4844, 5845, 1006, 8020, 3578, 12126, 7289, 1094, 5681, 4552, 30530, 3087, 1114, 3349, 19866, 1005, 7062, 2848, 1646, 1006, 5333, 1060, 2921, 7432, 25493, 1009, 6088, 28684, 18768, 1021, 1365, 21655, 1005, 7466, 2400, 1005, 29619, 1318, 1734, 6273, 8915, 1573, 6832, 2223, 2494, 10877, 10083, 1159, 6867, 1017, 1009, 1044, 28419, 2417, 1009, 3731, 5430, 1159, 1344, 10216, 1207, 24137, 2196, 6208, 2662, 20823, 7790, 1005, 12210, 14819, 3242, 13442, 1054, 2971, 1009, 3049, 1009, 7466, 2400, 1679, 9417, 2864, 9563, 1009, 1094, 5946, 1009, 19760, 1027, 5339, 1520, 1303, 3133, 1521, 1048, 3241, 2281, 1044, 1187, 30890, 1184, 22326, 1009, 29756, 18, 30660, 31012, 2350, 9312, 1322, 1006, 9026, 1060, 19230, 1027, 1009, 19238, 5024, 5762, 7781, 1291, 3684, 2521, 4305, 1043, 4961, 1006, 8083, 1009, 16086, 9268, 93, 4938, 18, 2464, 1054, 7466, 2471, 5692, 7737, 1044, 2403, 1322, 1006, 6273, 1056, 1828, 12813, 1043, 29756, 1159, 26316, 20, 30660, 3708, 3068, 8083, 1094, 9209, 31199, 1068, 4114, 3033, 1006, 6273, 1056, 1828, 12813, 1309, 1058, 5969, 2865, 1043, 1026, 2476, 22622, 22130, 1069, 1009, 29756, 1005, 1009, 1734, 10309, 22119, 14697, 7222, 20916, 18, 1163, 158, 2112, 1123, 168, 13052, 1005, 27176, 28988, 4041, 30660, 3043, 1079, 1009, 7682, 1006, 6704, 6273, 8915, 5803, 1068, 9202, 1132, 1025, 7010, 21699, 1005, 14541, 8124, 20, 1482, 1224, 30496, 2762, 8701, 21894, 1096, 1044, 23560, 1060, 1834, 4552, 5624, 1145, 8200, 1187, 7912, 1229, 4836, 4932, 1871, 4625, 1140, 15, 1132, 19611, 1060, 9850, 1187, 11872, 8, 3106, 4050, 3847, 3303, 32, 1422, 4681, 2474, 1078, 20302, 1043, 1235, 8349, 1072, 4545, 1187, 30294, 1607, 14918, 4974, 2181, 6875, 1679, 2688, 29756, 26565, 1235, 10176, 1142, 2483, 1005, 24702, 1399, 1034, 1967, 3665, 1565, 4225, 1020, 1079, 1006, 6704, 2019, 1302, 2860, 1322, 1124, 6982, 1049, 3090, 1060, 6117, 1071, 31911, 1005, 3731, 1349, 1109, 13612, 15486, 1752, 1094, 8545, 1054, 2156, 15537, 2286, 1224, 3733, 3911, 1079, 1318, 1734, 1225, 1273, 1159, 1006, 20854, 2485, 1124, 4552, 1391, 1400, 1124, 4208, 5214 ]

[ 2365, 1467, 1014, 13026, 1060, 21789, 1208, 1171, 18552, 1467, 31812, 3118, 85, 1212, 2314, 1467, 31812, 3118, 1104, 13846, 1, 1063, 1587, 20833, 1009, 19056, 1271, 2955, 22618, 12140, 5740, 1132, 6921, 1009, 1067, 1471, 86, 1585, 1961, 7019, 2091, 162, 1005, 1751, 1049, 3338, 1049, 2293, 1009, 3030, 1043, 3111, 3359, 5336, 1680, 1159, 1381, 8347, 1006, 5527, 4404, 13444, 1009, 30627, 31077, 1006, 3886, 8598, 1060, 3861, 7263, 8988, 1537, 1257, 6365, 1060, 10289, 1937, 5960, 14295, 4404, 13444, 1972, 73, 1258, 79, 10284, 1316, 1239, 85, 2955, 80, 16071, 124, 18966, 6890, 1580, 1049, 2293, 1009, 3030, 3564, 9247, 1009, 2293, 18028, 19344, 1009, 3030, 22687, 9247, 1009, 12384, 162, 1, 1163, 2214, 3755, 78, 2215, 1685, 4271, 159, 9785, 150, 1645, 79, 675, 499, 520, 508, 518, 0, 515, 513, 504, 1156, 27031, 1086, 1104, 3755, 78, 182, 89, 1685, 15, 1096, 1044, 19356, 1685, 1049, 15526, 29284, 2013, 1094, 3621, 1009, 14778, 1048, 1298, 1178, 14051, 1006, 2539, 1734, 19356, 5817, 1005, 8935, 1159, 22675, 1303, 1068, 1132, 14778, 1005, 26809, 2286, 1015, 8216, 73, 1981, 1086, 169, 1096, 1050, 3829, 1005, 1216, 81, 1107, 1096, 2317, 1324, 23821, 2519, 15968, 26995, 1537, 4439, 1013, 1094, 4786, 1006, 2924, 5626, 1271, 3880, 1728, 2858, 1187, 14778, 2155, 1118, 6544, 1005, 1026, 2143, 1118, 4885, 19917, 1371, 1072, 2191, 1271, 3880, 1728, 21328, 1371, 11610, 1930, 3748, 1068, 1132, 1791, 12418, 10716, 31122, 6108, 1318, 1257, 6454, 1271, 9423, 1060, 15526, 1665, 3160, 1010, 1887, 1060, 15526, 1665, 1, 10904, 96, 1179, 1085, 3169, 4932, 12057, 32, 675, 359, 377, 390, 388, 386, 379, 372, 374, 386, 281, 376, 389, 382, 33, 1054, 2333, 30609, 1429, 11433, 1005, 2173, 15202, 32, 1073, 4178, 81, 2109, 15, 1096, 1006, 3861, 1005, 2751, 1641, 1060, 5007, 1060, 1868, 2570, 1411, 1094, 6517, 6007, 1060, 8955, 26724, 4725, 1072, 16509, 1060, 17273, 3867, 1233, 7858, 1043, 1006, 5931, 82, 25584, 4490, 2779, 1096, 9527, 1054, 2457, 1005, 16365, 1726, 12965, 1049, 10308, 4762, 1259, 1377, 6126, 1184, 1009, 1910, 1646, 1006, 2413, 1566, 1516, 3050, 1140, 1118, 11872, 3764, 150, 1763, 1229, 1048, 24381, 1054, 6828, 9388, 1728, 1063, 1641, 1195, 8916, 1054, 2475, 1009, 3042, 1009, 2128, 12594, 1118, 4763, 12877, 1026, 16137, 8394, 1068, 1006, 3649, 1009, 1094, 1015, 4839, 11634, 3336, 3126, 3861, 1060, 5007, 21862, 13092, 5998, 1550, 4852, 1060, 1868, 2570, 1411, 1005, 1890, 1006, 6074, 3578, 3747, 1195, 24327, 1118, 9109, 2173, 18960, 1728, 2013, 5808, 1140, 1006, 1764, 19579, 1005, 9502, 1736, 3169, 1357, 9754, 1785, 1009, 1344, 2060, 22440, 1006, 2089, 4761, 1356, 12844, 1009, 10904, 96, 1179, 1085, 3169, 1005, 4836, 1006, 2828, 7506, 1009, 10904, 96, 1179, 1085, 3169, 25538, 31809, 4706, 5026, 2303, 1043, 1006, 8592, 1060, 1641, 1898, 675, 1106, 3109, 18, 1106, 3109, 18, 1106, 27703, 19990, 1257, 675, 12657, 4070, 3662, 14785, 4391, 1049, 10519, 24162, 1257, 675, 1900, 1219, 91, 3022, 1868, 14214, 1049, 10519, 24162, 1257, 675, 1119, 1075, 1088, 2975, 2819, 1275, 2528, 4620, 5, 675, 16290, 4050, 1037, 1051, 25567, 1082, 4529, 82, 15813, 4273, 1104, 1014, 5213, 28412, 4149, 1257, 675, 21119, 1253, 1126, 30470, 11386, 177, 4364, 90, 26698, 18, 4149, 1257, 675, 2955, 1123, 6844, 1045, 8382, 4006, 25122, 30392, 18985, 1324, 4590, 5, 675, 13184, 3728, 1070, 18, 1138, 1245, 1593, 1009, 13184, 3728, 1070, 18, 15423, 5, 675, 2858, 1126, 1106, 2622, 5897, 28412, 13071, 5, 675, 1123, 5221, 1082, 173, 1013, 1026, 77, 3394, 18307, 1672, 18078, 5, 675, 2882, 7011, 1241, 8655, 6729, 1179, 4492, 6729, 4296, 13035, 675, 1387, 13134, 3662, 1387, 13134, 3662, 25050, 5213, 5, 675, 16347, 6277, 1156, 1196, 11412, 1130, 2104, 1126, 1338, 4391, 27232, 1549, 3367, 19184, 1159, 2089, 4761, 1072, 3184, 1060, 17273, 3134, 1044, 8393, 1681, 4736, 1024, 4334, 76, 73, 1565, 1766, 1762, 15582, 1327, 1493, 1033, 4239, 1005, 1132, 1419, 1121, 26562, 1005, 1317, 4179, 28798, 2901, 1467, 1641, 1009, 10904, 96, 1179, 1085, 3169, 1096, 1006, 4799, 1049, 12060, 2478, 10976, 81, 1005, 1049, 9369, 20243, 1034, 6441, 2390, 16429, 10904, 96, 1179, 1085, 3169, 18, 1048, 6580, 1049, 3848, 27057, 1009, 4718, 20, 1, 30931, 2673, 2422, 1127, 1009, 17086, 1184, 3201, 1159, 30931, 2673, 2422, 1127, 16835, 15066, 3662, 1487, 1009, 3261, 1009, 14524, 1349, 1096, 1044, 18408, 1005, 8795, 15798, 13694, 1325, 1072, 18778, 1009, 5566, 24316, 158, 7381, 11731, 1514, 1393, 16672, 30931, 2673, 3475, 1118, 2539, 8521, 7178, 1309, 1195, 1072, 675, 1048, 9048, 4029, 15389, 29647, 1776, 4346, 3178, 2673, 7918, 2125, 7268, 11027, 1005, 1620, 1195, 29832, 4011, 1054, 9899, 10774, 20493, 1006, 1224, 3560, 1054, 7269, 1072, 1592, 4183, 30931, 2673, 18572, 1114, 3560, 1009, 2740, 2274, 24654, 1566, 3475, 1118, 8521, 1159, 2457, 2457, 675, 1005, 675, 6439, 3337, 1852, 1009, 4238, 1005, 2738, 1009, 6796, 3798, 1079, 1026, 2124, 3126, 16724, 1069, 1054, 3149, 1009, 3837, 17095, 3576, 15887, 28185, 3474, 2673, 1175, 16456, 8925, 1005, 8163, 4276, 22329, 1047, 31568, 28185, 11158, 2646, 1175, 5073, 1005, 5238, 3296, 2310, 4276, 1258, 2162, 19256, 20331, 1009, 1764, 21202, 4356, 3096, 4582, 5292, 15973, 4775, 1049, 8460, 5292, 19183, 1009, 3246, 1049, 8460, 5292, 5427, 1060, 5744, 4911, 4405, 1764, 21202, 19183, 1049, 2293, 11666, 10735, 29336, 1049, 11047, 6120, 8250, 5427, 1049, 11047, 6120, 8039, 5427, 1049, 18778, 1009, 4718, 1005, 2960, 7225, 5427, 1060, 8699, 1542, 20173, 1049, 21871, 5427, 1049, 25866, 162, 4718, 29336, 1049, 13867, 25517, 1694, 4718, 29336, 1049, 25164, 31568, 4718, 29336, 1060, 2430, 20173, 25450, 1896, 1, 1482, 21166, 17818, 5561, 1212, 1185, 4335, 1063, 3306, 31, 5056, 1096, 1044, 25737, 3300, 5361, 1048, 1058, 3250, 1043, 1184, 8692, 1294, 7959, 1114, 1445, 1034, 3821, 1049, 4489, 1144, 2253, 1005, 1072, 3821, 1009, 6442, 20, 1587, 24329, 1026, 31451, 4852, 1184, 5485, 1005, 1043, 1712, 17448, 10934, 17480, 5892, 1371, 1048, 2374, 1026, 31451, 4852, 1184, 3867, 1049, 28550, 3707, 1006, 1664, 1132, 4031, 8385, 2303, 1043, 1006, 3069, 10396, 29, 2400, 1009, 1675, 8814, 1009, 7240, 1060, 8699, 4594, 1009, 30455, 1029, 9393, 5539, 4405, 26328, 9696, 45, 1349, 1006, 675, 6466, 2484, 1048, 3959, 1063, 22, 4273, 2721, 27, 1009, 1063, 7484, 60, 3487, 2081, 1298, 1261, 14691, 1233, 2916, 1009, 19845, 1910, 4844, 1766, 1496, 1212, 1185, 1792, 1334, 1063, 22, 4273, 2721, 2400, 1063, 23, 71, 1082, 5940, 1005, 1063, 23, 72, 23, 71, 3936, 3502, 20610, 1054, 6442, 1005, 1026, 1063, 23, 72, 23, 72, 3936, 5784, 1096, 1184, 23195, 1054, 6442, 20, 1138, 1496, 1212, 1185, 4335, 1048, 2909, 14081, 1159, 1063, 23, 72, 24, 1096, 7662, 2309, 1496, 1212, 1185, 24832, 1009, 1106, 1006, 10532, 1063, 6466, 2484, 9662, 1049, 1496, 1212, 1185, 4335, 1063, 7484, 60, 3487, 23, 1054, 1063, 23, 71, 3936, 25, 2081, 1063, 23, 72, 23, 1005, 1106, 58, 3106, 23, 72, 4681, 1298, 1261, 14691, 1233, 2916, 1009, 16270, 6435, 4844, 1138, 1063, 22, 4273, 2721, 27, 1096, 2574, 23195, 1114, 6442, 5960, 1005, 18141, 3424, 1138, 1063, 23, 71, 3936, 5940, 1096, 1184, 23195, 1072, 16509, 10447, 10636, 1138, 1063, 23, 72, 23, 71, 3936, 3502, 1096, 23195, 1463, 14164, 1048, 16381, 11547, 1953, 1137, 1020, 11095, 1138, 1063, 23, 72, 23, 72, 3936, 5784, 1225, 1094, 6894, 1184, 8962, 33, 675, 2271, 1124, 2779, 1009, 4397, 1344, 1137, 1020, 4358, 1072, 19977, 1006, 14164, 1049, 16278, 14002, 1577, 1680, 1159, 2979, 1049, 16185, 10447, 1577, 1365, 14164, 21530, 1016, 1114, 21083, 18575, 72, 1145, 3818, 2310, 1257, 14002, 1056, 5561, 1212, 1185, 5432, 18975, 1173, 1134, 58, 42, 8950, 5, 1067, 1255, 1019, 1409, 5561, 1212, 1185, 5432, 17954, 9539, 9585, 3477, 20523, 1031, 6108, 1318, 22451, 1051, 4405, 8606, 3996, 71, 1212, 1185, 24832, 1049, 31451, 4852, 1941, 6819, 1, 7341, 5745, 3512, 1096, 1044, 5603, 5062, 1114, 6317, 15252, 1060, 1641, 1009, 1764, 4989, 11073, 1072, 4657, 1009, 5745, 3512, 20, 2013, 22579, 1357, 5495, 1255, 4645, 1060, 5745, 3512, 6555, 12358, 13849, 5745, 3512, 1, 1138, 4316, 27213, 1144, 2564, 1096, 1044, 3182, 5383, 24910, 1577, 1072, 8688, 1009, 3379, 1208, 24185, 1114, 5030, 1078, 1226, 1049, 7247, 24889, 1356, 4632, 1060, 10509, 1049, 2709, 1009, 31787, 31992, 8185, 1139, 6146, 1006, 9394, 12745, 20035, 28362, 1565, 1424, 1006, 3649, 1680, 10952, 1236, 1049, 4316, 27213, 1144, 2564, 1054, 7624, 1006, 10509, 1049, 2709, 5749, 1026, 17371, 5064, 1908, 1049, 1784, 1006, 14282, 1044, 3182, 5383, 20, 12662, 2876, 1054, 6013, 7777, 2744, 1009, 4722, 18105, 1009, 3548, 6698, 1213, 16534, 1026, 4316, 27213, 1144, 2564, 12491, 1043, 3189, 1026, 1144, 2564, 2541, 1068, 1026, 3182, 1006, 2971, 1009, 9932, 1009, 4238, 1879, 3182, 5383, 16365, 1006, 2916, 1009, 1422, 4705, 0, 8469, 1006, 3821, 1009, 1603, 1075, 20, 21980, 79, 1094, 5732, 1009, 22435, 1094, 11129, 1009, 4513, 1100, 13734, 1009, 31444, 1005, 9255, 1068, 3108, 1400, 9255, 1068, 4902, 1009, 20308, 1005, 13734, 1009, 10725, 26273, 1044, 3709, 1009, 24672, 1094, 6500, 1009, 3894, 1319, 1414, 90, 10393, 1044, 6985, 2890, 2292, 12944, 1172, 2144, 1005, 1094, 9418, 1009, 1173, 1747, 2051, 1879, 1831, 22435, 8394, 3591, 1069, 1068, 1204, 1009, 9932, 1009, 7905, 1798, 2923, 1006, 2971, 1009, 9932, 1009, 4238, 2301, 1044, 28720, 12745, 12057, 6487, 1075, 17094, 4906, 1026, 1144, 2564, 29686, 1309, 1026, 14556, 1160, 4064, 1006, 8236, 1006, 19172, 4626, 3567, 12548, 4711, 1009, 1044, 28720, 1006, 2323, 1049, 1144, 2564, 1325, 3591, 1069, 1068, 8819, 1009, 14931, 1063, 7500, 3823, 150, 1006, 4639, 1068, 1044, 5064, 4711, 2535, 1124, 2156, 6316, 14495, 19288, 1040, 3818, 9079, 1257, 7849, 1032, 1209, 28193, 17783, 1237, 1161, 1009, 5030, 1078, 1226, 1049, 2709, 3564, 85, 1208, 4000, 1, 3614, 3490, 1006, 1142, 24731, 20681, 15619, 1096, 1094, 7298, 1009, 2935, 1184, 4485, 1118, 7737, 1178, 3259, 1009, 1862, 23800, 10115, 1048, 4343, 1213, 1238, 1072, 10159, 24826, 1005, 10159, 1842, 30379, 2013, 1094, 31976, 1060, 2045, 20027, 10159, 14412, 1005, 1225, 1159, 2670, 14902, 2819, 81, 3772, 3102, 1132, 5283, 1327, 19749, 1072, 12795, 11383, 9257, 4261, 1043, 1124, 27411, 1009, 27734, 78, 4143, 1685, 1005, 13711, 4782, 81, 4371, 2903, 1324, 1048, 2829, 16315, 1054, 1067, 4074, 1095, 3767, 1269, 1081, 20758, 21230, 12983, 1250, 23951, 75, 20758, 3929, 8222, 9986, 8532, 1006, 1574, 2918, 18, 1048, 1195, 12985, 1114, 24073, 20758, 1071, 1708, 1009, 1848, 1068, 12795, 11383, 20758, 1068, 1224, 2750, 3337, 3929, 1632, 1130, 1409, 9228, 1678, 1048, 1096, 7107, 1140, 1054, 1067, 4074, 1095, 1163, 8714, 9257, 4261, 1005, 5798, 4138, 3614, 1228, 10718, 1048, 1096, 7107, 1140, 1072, 7365, 11358, 11383, 20758, 8519, 1680, 1159, 1006, 2750, 3337, 1009, 13711, 4782, 81, 9102, 1565, 1776, 2268, 1132, 5283, 1620, 1327, 9839, 1006, 1664, 1132, 1734, 5283, 1049, 7420, 20, 29288, 1142, 14014, 1195, 1026, 1831, 15241, 1491, 1009, 30077, 1251, 2679, 1006, 1178, 26009, 1054, 1094, 3964, 9771, 1054, 5203, 1009, 10872, 1054, 8797, 1233, 7107, 2585, 1054, 5203, 3743, 79, 3577, 1877, 1153, 1009, 1734, 1178, 3259, 1049, 10159, 1574, 3496, 9718, 2200, 1318, 1195, 26009, 1072, 2386, 1043, 13798, 26333, 5801, 1257, 7623, 3490, 1006, 1142, 24731, 1195, 3941, 1054, 10131, 18090, 1132, 22400, 14550, 12880, 4765, 52, 1046, 1052, 12669, 20, 1766, 2125, 4181, 10645, 12772, 1357, 3614, 3490, 1006, 1142, 24731, 5588, 1184, 1009, 13065, 8810, 2817, 7425, 25971, 12772, 1357, 3614, 3490, 1006, 1142, 24731, 24669, 1072, 10159, 24826, 1327, 8903, 1159, 10159, 24826, 19725, 15255, 1005, 1072, 10159, 1842, 42, 1159, 10159, 1842, 42, 19725, 4150, 11393, 1063, 1944, 2700, 3462, 10159, 1842, 42, 1178, 11724, 1356, 7420, 1096, 1156, 25396, 1098, 2186, 7388, 3313, 11905, 21462, 21462, 1068, 1026, 6450, 21462, 1068, 1006, 3546, 7650, 12488, 1009, 4132, 2503, 1020, 5202, 24826, 1, 8527, 4333, 4150, 1170, 1096, 1044, 5603, 5062, 1114, 6317, 15252, 1060, 1641, 1009, 1764, 4989, 11073, 1072, 4657, 1009, 22652, 14792, 1595, 20, 2013, 22579, 1357, 5495, 1255, 4645, 1009, 14464, 6555, 28075, 5650, 4333, 4150, 1170, 1, 14567, 6268, 1685, 32, 2858, 16426, 1322, 12935, 4932, 4431, 32, 14047, 17415, 32, 1063, 6519, 1065, 2571, 2488, 16181, 1031, 6024, 1096, 1006, 6972, 1036, 2064, 1093, 1049, 24591, 29685, 14918, 28272, 9614, 17352, 2223, 1144, 7149, 1264, 13180, 1026, 27650, 1064, 1102, 1117, 96, 2132, 15153, 1006, 2323, 1060, 1962, 6289, 10932, 18610, 1048, 3902, 15085, 1026, 2568, 6819, 1009, 10567, 1009, 3188, 3320, 1063 ]

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

[ 2365, 1467, 1014, 13026, 1060, 21789, 1208, 1171, 18552, 1467, 31812, 3118, 85, 1212, 2314, 1467, 31812, 3118, 1104, 13846, 1, 1063, 1587, 20833, 1009, 19056, 1271, 2955, 22618, 12140, 5740, 1132, 6921, 1009, 1067, 1471, 86, 1585, 1961, 7019, 2091, 162, 1005, 1751, 1049, 3338, 1049, 2293, 1009, 3030, 1043, 3111, 3359, 5336, 1680, 1159, 1381, 8347, 1006, 5527, 4404, 13444, 1009, 30627, 31077, 1006, 3886, 8598, 1060, 3861, 7263, 8988, 1537, 1257, 6365, 1060, 10289, 1937, 5960, 14295, 4404, 13444, 1972, 73, 1258, 79, 10284, 1316, 1239, 85, 2955, 80, 16071, 124, 18966, 6890, 1580, 1049, 2293, 1009, 3030, 3564, 9247, 1009, 2293, 18028, 19344, 1009, 3030, 22687, 9247, 1009, 12384, 162, 1, 1163, 2214, 3755, 78, 2215, 1685, 4271, 159, 9785, 150, 1645, 79, 675, 499, 520, 508, 518, 0, 515, 513, 504, 1156, 27031, 1086, 1104, 3755, 78, 182, 89, 1685, 15, 1096, 1044, 19356, 1685, 1049, 15526, 29284, 2013, 1094, 3621, 1009, 14778, 1048, 1298, 1178, 14051, 1006, 2539, 1734, 19356, 5817, 1005, 8935, 1159, 22675, 1303, 1068, 1132, 14778, 1005, 26809, 2286, 1015, 8216, 73, 1981, 1086, 169, 1096, 1050, 3829, 1005, 1216, 81, 1107, 1096, 2317, 1324, 23821, 2519, 15968, 26995, 1537, 4439, 1013, 1094, 4786, 1006, 2924, 5626, 1271, 3880, 1728, 2858, 1187, 14778, 2155, 1118, 6544, 1005, 1026, 2143, 1118, 4885, 19917, 1371, 1072, 2191, 1271, 3880, 1728, 21328, 1371, 11610, 1930, 3748, 1068, 1132, 1791, 12418, 10716, 31122, 6108, 1318, 1257, 6454, 1271, 9423, 1060, 15526, 1665, 3160, 1010, 1887, 1060, 15526, 1665, 1, 10904, 96, 1179, 1085, 3169, 4932, 12057, 32, 675, 359, 377, 390, 388, 386, 379, 372, 374, 386, 281, 376, 389, 382, 33, 1054, 2333, 30609, 1429, 11433, 1005, 2173, 15202, 32, 1073, 4178, 81, 2109, 15, 1096, 1006, 3861, 1005, 2751, 1641, 1060, 5007, 1060, 1868, 2570, 1411, 1094, 6517, 6007, 1060, 8955, 26724, 4725, 1072, 16509, 1060, 17273, 3867, 1233, 7858, 1043, 1006, 5931, 82, 25584, 4490, 2779, 1096, 9527, 1054, 2457, 1005, 16365, 1726, 12965, 1049, 10308, 4762, 1259, 1377, 6126, 1184, 1009, 1910, 1646, 1006, 2413, 1566, 1516, 3050, 1140, 1118, 11872, 3764, 150, 1763, 1229, 1048, 24381, 1054, 6828, 9388, 1728, 1063, 1641, 1195, 8916, 1054, 2475, 1009, 3042, 1009, 2128, 12594, 1118, 4763, 12877, 1026, 16137, 8394, 1068, 1006, 3649, 1009, 1094, 1015, 4839, 11634, 3336, 3126, 3861, 1060, 5007, 21862, 13092, 5998, 1550, 4852, 1060, 1868, 2570, 1411, 1005, 1890, 1006, 6074, 3578, 3747, 1195, 24327, 1118, 9109, 2173, 18960, 1728, 2013, 5808, 1140, 1006, 1764, 19579, 1005, 9502, 1736, 3169, 1357, 9754, 1785, 1009, 1344, 2060, 22440, 1006, 2089, 4761, 1356, 12844, 1009, 10904, 96, 1179, 1085, 3169, 1005, 4836, 1006, 2828, 7506, 1009, 10904, 96, 1179, 1085, 3169, 25538, 31809, 4706, 5026, 2303, 1043, 1006, 8592, 1060, 1641, 1898, 675, 1106, 3109, 18, 1106, 3109, 18, 1106, 27703, 19990, 1257, 675, 12657, 4070, 3662, 14785, 4391, 1049, 10519, 24162, 1257, 675, 1900, 1219, 91, 3022, 1868, 14214, 1049, 10519, 24162, 1257, 675, 1119, 1075, 1088, 2975, 2819, 1275, 2528, 4620, 5, 675, 16290, 4050, 1037, 1051, 25567, 1082, 4529, 82, 15813, 4273, 1104, 1014, 5213, 28412, 4149, 1257, 675, 21119, 1253, 1126, 30470, 11386, 177, 4364, 90, 26698, 18, 4149, 1257, 675, 2955, 1123, 6844, 1045, 8382, 4006, 25122, 30392, 18985, 1324, 4590, 5, 675, 13184, 3728, 1070, 18, 1138, 1245, 1593, 1009, 13184, 3728, 1070, 18, 15423, 5, 675, 2858, 1126, 1106, 2622, 5897, 28412, 13071, 5, 675, 1123, 5221, 1082, 173, 1013, 1026, 77, 3394, 18307, 1672, 18078, 5, 675, 2882, 7011, 1241, 8655, 6729, 1179, 4492, 6729, 4296, 13035, 675, 1387, 13134, 3662, 1387, 13134, 3662, 25050, 5213, 5, 675, 16347, 6277, 1156, 1196, 11412, 1130, 2104, 1126, 1338, 4391, 27232, 1549, 3367, 19184, 1159, 2089, 4761, 1072, 3184, 1060, 17273, 3134, 1044, 8393, 1681, 4736, 1024, 4334, 76, 73, 1565, 1766, 1762, 15582, 1327, 1493, 1033, 4239, 1005, 1132, 1419, 1121, 26562, 1005, 1317, 4179, 28798, 2901, 1467, 1641, 1009, 10904, 96, 1179, 1085, 3169, 1096, 1006, 4799, 1049, 12060, 2478, 10976, 81, 1005, 1049, 9369, 20243, 1034, 6441, 2390, 16429, 10904, 96, 1179, 1085, 3169, 18, 1048, 6580, 1049, 3848, 27057, 1009, 4718, 20, 1, 30931, 2673, 2422, 1127, 1009, 17086, 1184, 3201, 1159, 30931, 2673, 2422, 1127, 16835, 15066, 3662, 1487, 1009, 3261, 1009, 14524, 1349, 1096, 1044, 18408, 1005, 8795, 15798, 13694, 1325, 1072, 18778, 1009, 5566, 24316, 158, 7381, 11731, 1514, 1393, 16672, 30931, 2673, 3475, 1118, 2539, 8521, 7178, 1309, 1195, 1072, 675, 1048, 9048, 4029, 15389, 29647, 1776, 4346, 3178, 2673, 7918, 2125, 7268, 11027, 1005, 1620, 1195, 29832, 4011, 1054, 9899, 10774, 20493, 1006, 1224, 3560, 1054, 7269, 1072, 1592, 4183, 30931, 2673, 18572, 1114, 3560, 1009, 2740, 2274, 24654, 1566, 3475, 1118, 8521, 1159, 2457, 2457, 675, 1005, 675, 6439, 3337, 1852, 1009, 4238, 1005, 2738, 1009, 6796, 3798, 1079, 1026, 2124, 3126, 16724, 1069, 1054, 3149, 1009, 3837, 17095, 3576, 15887, 28185, 3474, 2673, 1175, 16456, 8925, 1005, 8163, 4276, 22329, 1047, 31568, 28185, 11158, 2646, 1175, 5073, 1005, 5238, 3296, 2310, 4276, 1258, 2162, 19256, 20331, 1009, 1764, 21202, 4356, 3096, 4582, 5292, 15973, 4775, 1049, 8460, 5292, 19183, 1009, 3246, 1049, 8460, 5292, 5427, 1060, 5744, 4911, 4405, 1764, 21202, 19183, 1049, 2293, 11666, 10735, 29336, 1049, 11047, 6120, 8250, 5427, 1049, 11047, 6120, 8039, 5427, 1049, 18778, 1009, 4718, 1005, 2960, 7225, 5427, 1060, 8699, 1542, 20173, 1049, 21871, 5427, 1049, 25866, 162, 4718, 29336, 1049, 13867, 25517, 1694, 4718, 29336, 1049, 25164, 31568, 4718, 29336, 1060, 2430, 20173, 25450, 1896, 1, 1482, 21166, 17818, 5561, 1212, 1185, 4335, 1063, 3306, 31, 5056, 1096, 1044, 25737, 3300, 5361, 1048, 1058, 3250, 1043, 1184, 8692, 1294, 7959, 1114, 1445, 1034, 3821, 1049, 4489, 1144, 2253, 1005, 1072, 3821, 1009, 6442, 20, 1587, 24329, 1026, 31451, 4852, 1184, 5485, 1005, 1043, 1712, 17448, 10934, 17480, 5892, 1371, 1048, 2374, 1026, 31451, 4852, 1184, 3867, 1049, 28550, 3707, 1006, 1664, 1132, 4031, 8385, 2303, 1043, 1006, 3069, 10396, 29, 2400, 1009, 1675, 8814, 1009, 7240, 1060, 8699, 4594, 1009, 30455, 1029, 9393, 5539, 4405, 26328, 9696, 45, 1349, 1006, 675, 6466, 2484, 1048, 3959, 1063, 22, 4273, 2721, 27, 1009, 1063, 7484, 60, 3487, 2081, 1298, 1261, 14691, 1233, 2916, 1009, 19845, 1910, 4844, 1766, 1496, 1212, 1185, 1792, 1334, 1063, 22, 4273, 2721, 2400, 1063, 23, 71, 1082, 5940, 1005, 1063, 23, 72, 23, 71, 3936, 3502, 20610, 1054, 6442, 1005, 1026, 1063, 23, 72, 23, 72, 3936, 5784, 1096, 1184, 23195, 1054, 6442, 20, 1138, 1496, 1212, 1185, 4335, 1048, 2909, 14081, 1159, 1063, 23, 72, 24, 1096, 7662, 2309, 1496, 1212, 1185, 24832, 1009, 1106, 1006, 10532, 1063, 6466, 2484, 9662, 1049, 1496, 1212, 1185, 4335, 1063, 7484, 60, 3487, 23, 1054, 1063, 23, 71, 3936, 25, 2081, 1063, 23, 72, 23, 1005, 1106, 58, 3106, 23, 72, 4681, 1298, 1261, 14691, 1233, 2916, 1009, 16270, 6435, 4844, 1138, 1063, 22, 4273, 2721, 27, 1096, 2574, 23195, 1114, 6442, 5960, 1005, 18141, 3424, 1138, 1063, 23, 71, 3936, 5940, 1096, 1184, 23195, 1072, 16509, 10447, 10636, 1138, 1063, 23, 72, 23, 71, 3936, 3502, 1096, 23195, 1463, 14164, 1048, 16381, 11547, 1953, 1137, 1020, 11095, 1138, 1063, 23, 72, 23, 72, 3936, 5784, 1225, 1094, 6894, 1184, 8962, 33, 675, 2271, 1124, 2779, 1009, 4397, 1344, 1137, 1020, 4358, 1072, 19977, 1006, 14164, 1049, 16278, 14002, 1577, 1680, 1159, 2979, 1049, 16185, 10447, 1577, 1365, 14164, 21530, 1016, 1114, 21083, 18575, 72, 1145, 3818, 2310, 1257, 14002, 1056, 5561, 1212, 1185, 5432, 18975, 1173, 1134, 58, 42, 8950, 5, 1067, 1255, 1019, 1409, 5561, 1212, 1185, 5432, 17954, 9539, 9585, 3477, 20523, 1031, 6108, 1318, 22451, 1051, 4405, 8606, 3996, 71, 1212, 1185, 24832, 1049, 31451, 4852, 1941, 6819, 1, 7341, 5745, 3512, 1096, 1044, 5603, 5062, 1114, 6317, 15252, 1060, 1641, 1009, 1764, 4989, 11073, 1072, 4657, 1009, 5745, 3512, 20, 2013, 22579, 1357, 5495, 1255, 4645, 1060, 5745, 3512, 6555, 12358, 13849, 5745, 3512, 1, 1138, 4316, 27213, 1144, 2564, 1096, 1044, 3182, 5383, 24910, 1577, 1072, 8688, 1009, 3379, 1208, 24185, 1114, 5030, 1078, 1226, 1049, 7247, 24889, 1356, 4632, 1060, 10509, 1049, 2709, 1009, 31787, 31992, 8185, 1139, 6146, 1006, 9394, 12745, 20035, 28362, 1565, 1424, 1006, 3649, 1680, 10952, 1236, 1049, 4316, 27213, 1144, 2564, 1054, 7624, 1006, 10509, 1049, 2709, 5749, 1026, 17371, 5064, 1908, 1049, 1784, 1006, 14282, 1044, 3182, 5383, 20, 12662, 2876, 1054, 6013, 7777, 2744, 1009, 4722, 18105, 1009, 3548, 6698, 1213, 16534, 1026, 4316, 27213, 1144, 2564, 12491, 1043, 3189, 1026, 1144, 2564, 2541, 1068, 1026, 3182, 1006, 2971, 1009, 9932, 1009, 4238, 1879, 3182, 5383, 16365, 1006, 2916, 1009, 1422, 4705, 0, 8469, 1006, 3821, 1009, 1603, 1075, 20, 21980, 79, 1094, 5732, 1009, 22435, 1094, 11129, 1009, 4513, 1100, 13734, 1009, 31444, 1005, 9255, 1068, 3108, 1400, 9255, 1068, 4902, 1009, 20308, 1005, 13734, 1009, 10725, 26273, 1044, 3709, 1009, 24672, 1094, 6500, 1009, 3894, 1319, 1414, 90, 10393, 1044, 6985, 2890, 2292, 12944, 1172, 2144, 1005, 1094, 9418, 1009, 1173, 1747, 2051, 1879, 1831, 22435, 8394, 3591, 1069, 1068, 1204, 1009, 9932, 1009, 7905, 1798, 2923, 1006, 2971, 1009, 9932, 1009, 4238, 2301, 1044, 28720, 12745, 12057, 6487, 1075, 17094, 4906, 1026, 1144, 2564, 29686, 1309, 1026, 14556, 1160, 4064, 1006, 8236, 1006, 19172, 4626, 3567, 12548, 4711, 1009, 1044, 28720, 1006, 2323, 1049, 1144, 2564, 1325, 3591, 1069, 1068, 8819, 1009, 14931, 1063, 7500, 3823, 150, 1006, 4639, 1068, 1044, 5064, 4711, 2535, 1124, 2156, 6316, 14495, 19288, 1040, 3818, 9079, 1257, 7849, 1032, 1209, 28193, 17783, 1237, 1161, 1009, 5030, 1078, 1226, 1049, 2709, 3564, 85, 1208, 4000, 1, 3614, 3490, 1006, 1142, 24731, 20681, 15619, 1096, 1094, 7298, 1009, 2935, 1184, 4485, 1118, 7737, 1178, 3259, 1009, 1862, 23800, 10115, 1048, 4343, 1213, 1238, 1072, 10159, 24826, 1005, 10159, 1842, 30379, 2013, 1094, 31976, 1060, 2045, 20027, 10159, 14412, 1005, 1225, 1159, 2670, 14902, 2819, 81, 3772, 3102, 1132, 5283, 1327, 19749, 1072, 12795, 11383, 9257, 4261, 1043, 1124, 27411, 1009, 27734, 78, 4143, 1685, 1005, 13711, 4782, 81, 4371, 2903, 1324, 1048, 2829, 16315, 1054, 1067, 4074, 1095, 3767, 1269, 1081, 20758, 21230, 12983, 1250, 23951, 75, 20758, 3929, 8222, 9986, 8532, 1006, 1574, 2918, 18, 1048, 1195, 12985, 1114, 24073, 20758, 1071, 1708, 1009, 1848, 1068, 12795, 11383, 20758, 1068, 1224, 2750, 3337, 3929, 1632, 1130, 1409, 9228, 1678, 1048, 1096, 7107, 1140, 1054, 1067, 4074, 1095, 1163, 8714, 9257, 4261, 1005, 5798, 4138, 3614, 1228, 10718, 1048, 1096, 7107, 1140, 1072, 7365, 11358, 11383, 20758, 8519, 1680, 1159, 1006, 2750, 3337, 1009, 13711, 4782, 81, 9102, 1565, 1776, 2268, 1132, 5283, 1620, 1327, 9839, 1006, 1664, 1132, 1734, 5283, 1049, 7420, 20, 29288, 1142, 14014, 1195, 1026, 1831, 15241, 1491, 1009, 30077, 1251, 2679, 1006, 1178, 26009, 1054, 1094, 3964, 9771, 1054, 5203, 1009, 10872, 1054, 8797, 1233, 7107, 2585, 1054, 5203, 3743, 79, 3577, 1877, 1153, 1009, 1734, 1178, 3259, 1049, 10159, 1574, 3496, 9718, 2200, 1318, 1195, 26009, 1072, 2386, 1043, 13798, 26333, 5801, 1257, 7623, 3490, 1006, 1142, 24731, 1195, 3941, 1054, 10131, 18090, 1132, 22400, 14550, 12880, 4765, 52, 1046, 1052, 12669, 20, 1766, 2125, 4181, 10645, 12772, 1357, 3614, 3490, 1006, 1142, 24731, 5588, 1184, 1009, 13065, 8810, 2817, 7425, 25971, 12772, 1357, 3614, 3490, 1006, 1142, 24731, 24669, 1072, 10159, 24826, 1327, 8903, 1159, 10159, 24826, 19725, 15255, 1005, 1072, 10159, 1842, 42, 1159, 10159, 1842, 42, 19725, 4150, 11393, 1063, 1944, 2700, 3462, 10159, 1842, 42, 1178, 11724, 1356, 7420, 1096, 1156, 25396, 1098, 2186, 7388, 3313, 11905, 21462, 21462, 1068, 1026, 6450, 21462, 1068, 1006, 3546, 7650, 12488, 1009, 4132, 2503, 1020, 5202, 24826, 1, 8527, 4333, 4150, 1170, 1096, 1044, 5603, 5062, 1114, 6317, 15252, 1060, 1641, 1009, 1764, 4989, 11073, 1072, 4657, 1009, 22652, 14792, 1595, 20, 2013, 22579, 1357, 5495, 1255, 4645, 1009, 14464, 6555, 28075, 5650, 4333, 4150, 1170, 1, 14567, 6268, 1685, 32, 2858, 16426, 1322, 12935, 4932, 4431, 32, 14047, 17415, 32, 1063, 6519, 1065, 2571, 2488, 16181, 1031, 6024, 1096, 1006, 6972, 1036, 2064, 1093, 1049, 24591, 29685, 14918, 28272, 9614, 17352, 2223, 1144, 7149, 1264, 13180, 1026, 27650, 1064, 1102, 1117, 96, 2132, 15153, 1006, 2323, 1060, 1962, 6289, 10932, 18610, 1048, 3902, 15085, 1026, 2568, 6819, 1009, 10567, 1009, 3188, 3320, 1063 ]

[ 10557, 2309, 18445, 1026, 4041, 1309, 5948, 7110, 6639, 10557, 2309, 3997, 1271, 3680, 1318, 2457, 5948, 1566, 1096, 4810, 7, 21216, 7898, 18, 9189, 1508, 1044, 11093, 2678, 1370, 1072, 7751, 1063, 4380, 1271, 3680, 9507, 10592, 3997, 1516, 2360, 1005, 11553, 1005, 21734, 15835, 23814, 8261, 1009, 11600, 1836, 1847, 20723, 1236, 1118, 2220, 1026, 2497, 1009, 11413, 4475, 5126, 1770, 2241, 2348, 7668, 1009, 5290, 3063, 5949, 5723, 28305, 8396, 1009, 2373, 1021, 5299, 79, 2012, 25505, 8226, 1551, 1702, 15199, 27131, 3599, 1037, 1188, 1026, 1090, 1568, 1053, 1704, 3066, 1096, 1094, 5937, 4203, 14211, 1060, 7475, 1159, 1006, 1225, 1236, 13010, 1187, 18445, 1048, 1495, 3004, 2653, 1160, 11825, 1058, 3711, 1195, 5159, 1140, 1005, 1006, 7064, 1060, 2573, 1009, 2011, 1048, 1516, 9124, 1962, 17128, 88, 8061, 1229, 1005, 1783, 1048, 1160, 1657, 2039, 2644, 1159, 23663, 1068, 1048, 2653, 1187, 4203, 9509, 1072, 3066, 1006, 1331, 1813, 4830, 1084, 1006, 11355, 1184, 17047, 1009, 2252, 1213, 2822, 1049, 11725, 1463, 9496, 1060, 7318, 32, 20025, 29420, 81, 158, 3711, 2039, 10748, 1005, 1043, 1687, 2693, 1006, 1224, 16234, 1063, 7318, 6733, 5573, 1048, 2328, 1009, 7676, 1005, 15527, 1049, 13929, 1060, 3486, 20025, 7289, 1006, 4575, 1005, 31399, 11032, 6685, 1009, 2071, 1044, 2574, 1006, 15313, 1059, 13, 42, 1024, 1124, 13436, 1962, 3230, 10529, 1005, 1213, 2930, 3266, 6812, 37, 2656, 12816, 1048, 1026, 4241, 1058, 1863, 2154, 5573, 1048, 15893, 2614, 3101, 7241, 6027, 1213, 6141, 1006, 5085, 20, 2605, 2574, 4800, 1663, 1356, 8061, 85, 2097, 5037, 1800, 1288, 1132, 7360, 1187, 29076, 1134, 4927, 1046, 1026, 1048, 6510, 16663, 12370, 91, 1656, 4328, 1229, 1745, 7142, 1235, 30353, 2199, 10939, 1033, 1130, 2040, 1009, 2073, 2596, 20, 12710, 15658, 2106, 11247, 1250, 1030, 7142, 1456, 7360, 1009, 3794, 15446, 1872, 7, 13, 2794, 1052, 78, 29420, 81, 158, 13312, 1052, 78, 29420, 81, 158, 2569, 1044, 3129, 1493, 2512, 1114, 2042, 1049, 4398, 1876, 1005, 1114, 3961, 1357, 17924, 1346, 1005, 1096, 9940, 1622, 5574, 1044, 2574, 1049, 1048, 1195, 2122, 8211, 1620, 1048, 1043, 1044, 2373, 1164, 1295, 626, 1009, 1768, 7863, 2858, 1009, 1456, 4679, 11442, 1009, 2373, 1013, 21160, 9299, 4324, 1620, 2277, 1124, 9496, 1060, 1584, 5696, 1195, 1094, 16362, 21831, 1009, 14614, 1054, 1578, 4700, 1054, 4188, 1006, 3764, 9709, 16074, 23462, 1571, 1596, 19387, 1312, 1011, 1585, 3280, 4107, 1007, 3150, 3782, 1054, 14727, 4180, 1054, 1048, 3680, 15593, 2829, 1023, 77, 9896, 1006, 2997, 25365, 1459, 1114, 13158, 1096, 1493, 3445, 3592, 21407, 29420, 81, 158, 7, 675, 697, 5, 13792, 31486, 3097, 31737, 1471, 1299, 1094, 6671, 1126, 1271, 1184, 2519, 1678, 1005, 1323, 17128, 1848, 1717, 9210, 1309, 2364, 1096, 1026, 2803, 1009, 1058, 15299, 1356, 8061, 1667, 6053, 1645, 150, 1026, 1557, 1009, 9149, 1800, 1006, 4380, 1060, 14650, 1309, 1160, 1118, 2097, 20, 624, 5, 623, 132, 3907, 1009, 9149, 1026, 3282, 1009, 4327, 1511, 1668, 3684, 1096, 1915, 1069, 7, 13, 31389, 2315, 1318, 2691, 9496, 1060, 7318, 1048, 1207, 17159, 1009, 3124, 2039, 1379, 1005, 1195, 9803, 1009, 3863, 1006, 8946, 2975, 1309, 2693, 1006, 2042, 1048, 1195, 6754, 1068, 1006, 4575, 1195, 15313, 1009, 1982, 75, 4862, 81, 1344, 9374, 18, 1048, 30334, 1114, 4575, 1094, 2596, 1009, 2997, 4005, 1679, 18445, 1060, 4180, 18566, 1044, 3066, 1048, 2793, 1294, 4859, 10261, 1118, 2739, 7082, 6762, 1620, 1325, 15, 1986, 1006, 5655, 20, 10590, 1184, 1049, 1048, 5179, 1599, 1325, 1072, 2832, 1810, 1009, 19353, 1060, 2348, 1090, 1526, 1005, 1503, 12720, 1048, 1365, 1962, 1009, 7110, 1318, 6383, 1089, 5282, 1005, 1495, 1006, 4958, 7, 6174, 8796, 1907, 29420, 81, 158, 5036, 29609, 1229, 18727, 1040, 7994, 76, 2629, 1010, 1005, 3321, 16823, 1054, 7929, 1221, 1009, 7320, 1160, 25505, 1837, 1044, 4248, 1309, 1160, 12093, 1449, 7425, 1505, 1048, 2252, 1124, 15718, 1243, 9709, 1327, 17924, 2187, 1573, 37, 1505, 1160, 4207, 9673, 1009, 18248, 1024, 1044, 20628, 23883, 1048, 1693, 1261, 7788, 1043, 1044, 1915, 2586, 1058, 1213, 2444, 2167, 7142, 5501, 1006, 1025, 2477, 27950, 1112, 1054, 9319, 28772, 14058, 1118, 1431, 81, 28388, 1797, 3640, 54, 20761, 4414, 18517, 26032, 20071, 3093, 10812, 20780, 1623, 3093, 25744, 3093, 4398, 1876, 3093, 21407, 29420, 81, 158, 3093, 16760, 24520, 1239, 3093, 3064, 2178, 3093, 1982, 75, 4862, 81, 1344, 9374, 13492, 1235, 6737, 7, 8448, 23342, 1045, 10823, 7860, 89, 8532, 3286, 3471, 1925, 13226, 1234, 4861, 3265, 11927, 3265, 19649, 89, 19523, 2347, 1582, 3341, 1075, 2860, 1123, 1333, 3564, 1007, 1297, 1140, 1054, 8899, 18, 22758, 1350, 1005, 2225, 3013, 1187, 23198, 1551, 1024, 9942, 1005, 7099, 95, 12757, 4819, 20, 2193, 1466, 1081, 1140, 1118, 31251, 13274, 1005, 1054, 5872, 3606, 11277, 20, 7493, 1054, 1764, 3236, 1187, 10348, 1479, 6203, 2904, 1078, 2891, 2650, 1605, 4861, 1605, 1551, 1024, 9942, 1096, 1044, 4861, 4871, 9064, 13721, 1006, 1268, 17722, 1005, 12493, 18, 2204, 17464, 1049, 1784, 5886, 3335, 1365, 1734, 3812, 6572, 82, 1660, 19552, 1177, 1170, 3742, 2032, 12852, 1014, 1058, 4531, 13512, 1049, 1551, 1024, 9942, 37, 2613, 1222, 1044, 6455, 1068, 1009, 3144, 8475, 38, 14019, 20923, 21108, 68, 15551, 8891, 2059, 2307, 1068, 1419, 1858, 1187, 13161, 4696, 8849, 8041, 20299, 1149, 16893, 1544, 11068, 2178, 1071, 10997, 5056, 16760, 24520, 1239, 13383, 4368, 15, 31918, 20392, 5463, 16760, 2769, 19679, 6456, 4105, 20184, 1967, 6877, 10812, 6969, 1535, 30205, 14256, 7375, 10812, 10191, 1271, 14911, 23216, 5056, 10949, 2149, 4059, 15, 10812, 4523, 1153, 6447, 2149, 1404, 15, 2228, 1436, 10183, 11306, 10812, 2773, 1474, 10183, 6456, 1119, 6688, 10183, 4681, 12269, 86, 2646, 10183, 5056, 10812, 1067, 2104, 1271, 14911, 15150, 7375, 16077, 1071, 4705, 15, 16760, 6164, 1071, 6418, 15, 10812, 30436, 1071, 5515, 15, 1142, 1473, 2147, 1071, 5861, 15, 10812, 2172, 88, 2914, 6464, 1071, 4655, 15, 10812, 20780, 1623, 1071, 6955, 15, 6268, 1017, 10024, 7362, 1067, 11905, 10024, 7224, 12298, 3840, 80, 2783, 1071, 5003, 15, 10812, 2152, 5785, 10024, 4681, 10812, 8729, 1066, 1071, 5900, 15, 4429, 20282, 1071, 6259, 15, 5393, 4239, 1436, 1071, 4368, 15, 1424, 1520, 1303, 10357, 5463, 2656, 15373, 1055, 10357, 5463, 11428, 1071, 3949, 15, 14227, 2345, 1326, 1071, 3949, 15, 5826, 1568, 1034, 1071, 5235, 15, 6031, 2847, 1071, 4994, 15, 10812, 2172, 6605, 1269, 6464, 1071, 4673, 15, 1574, 3123, 10986, 1071, 4406, 15, 16953, 2651, 2897, 8465, 4681, 10812, 14615, 21218, 8465, 5056, 20334, 2297, 8465, 5056, 10812, 6447, 20914, 15, 31930, 1271, 7494, 12316, 19679, 15, 10812, 1180, 2077, 1140, 18999, 15, 10812, 25116, 1525, 18999, 15, 10812, 10407, 1303, 3883, 1326, 15236, 18999, 15, 1207, 55, 18999, 15, 1180, 16523, 17466, 15, 11686, 1967, 15, 10812, 1163, 4372, 28789, 2149, 7375, 5027, 2149, 7362, 30585, 1108, 2149, 7362, 28392, 1047, 2149, 7224, 10812, 9951, 1066, 2149, 7224, 10812, 1603, 18850, 2149, 6877, 10812, 30758, 1017, 1665, 2149, 6456, 6881, 5555, 1112, 2149, 6456, 1123, 4178, 2651, 1525, 2149, 6456, 10812, 2462, 1093, 2149, 5463, 10812, 28738, 1108, 2149, 4681, 10812, 30436, 1561, 25960, 10812, 17007, 95, 10183, 15, 4398, 1876, 10183, 15, 5549, 28789, 10407, 1303, 1071, 11306, 7411, 27662, 1071, 7375, 8527, 1187, 20804, 1071, 7362, 10812, 29938, 28789, 1071, 7224, 2462, 1093, 10812, 1071, 7224, 1, 20319, 2101, 1535, 3522, 1582, 7698, 2949, 29566, 2677, 2558, 1194, 28576, 1062, 30451, 5837, 4756, 28392, 1047, 2430, 7393, 13302, 2430, 7393, 1385, 31820, 2654, 24200, 1477, 4226, 24922, 3650, 1066, 1134, 1036, 1024, 16670, 2648, 21156, 1727, 11752, 3074, 11752, 12331, 2593, 10693, 15912, 27889, 5180, 1346, 1205, 1500, 1430, 1, 1150, 3929, 23485, 1331, 5882, 2652, 5442, 14, 2459, 2402, 1021, 31446, 4985, 3929, 23485, 8840, 1075, 1105, 20, 8844, 1167, 8176, 31446, 8840, 1382, 1019, 1171, 8, 3929, 23485, 2903, 27230, 31446, 8840, 1382, 1019, 1171, 29241, 90, 5183, 4985, 15510, 27480, 28531, 29693, 14, 20918, 97, 1174, 14, 1802, 14264, 8792, 4357, 2895, 11931, 4985, 97, 23485, 78, 2262, 21553, 7486, 14, 3929, 23485, 4699, 8096, 6351, 14, 3929, 23485, 1331, 5882, 2652, 5442, 31446, 1605, 22725, 1715, 2343, 17165, 2204, 1033, 16621, 2186, 4861, 21534, 3301, 15, 10675, 18, 4699, 8096, 6351, 32, 29693, 25692, 97, 23485, 8840, 1075, 1105, 20, 1781, 1010, 1223, 31446, 2903, 8180, 20549, 31446, 9618, 8180, 8844, 1167, 14, 3929, 23485, 8840, 1075, 1105, 20, 8844, 1167, 15353, 31446, 1137, 1446, 3752, 13196, 8, 3929, 23485, 2903, 14953, 15353, 31446, 1137, 1446, 3752, 13196, 8, 3929, 75, 31446, 1406, 97, 8, 6092, 3636, 8, 23784, 19, 10037, 8, 99, 1565, 24946, 14977, 14, 23485, 2903, 20, 1781, 1010, 1223, 31446, 2903, 4985, 15, 15510, 23784, 46, 1045, 1364, 32, 29693, 14, 90, 15, 97, 3386, 1028, 35, 1773, 1020, 33, 90, 23108, 14, 4495, 2903, 8180, 1137, 1446, 14, 29693, 25692, 97, 3386, 1030, 35, 75, 14, 1773, 1020, 3929, 90, 23108, 31446, 12155, 76, 9380, 8180, 4699, 15353, 31446, 1137, 1446, 3752, 13196, 8, 3929, 3386, 1686, 35, 75, 14, 1773, 1020, 1565, 20549, 31446, 1075, 20, 14137, 8840, 1075, 1105, 9695, 8180, 23954, 25692, 16, 75, 14, 1773, 1020, 1565, 20549, 31446, 1075, 20, 14137, 8840, 1075, 1105, 9695, 8180, 13254, 33, 90, 23108, 31446, 1075, 20, 8153, 8840, 1075, 1105, 8180, 73, 1476, 14, 97, 8, 1498, 11566, 7808, 3636, 88, 17, 8, 6309, 8, 99, 3929, 17463, 14463, 44, 9380, 39, 13757, 14, 90, 15, 15510, 29693, 25692, 97, 75, 14, 1773, 1020, 1565, 20549, 31446, 12155, 76, 9380, 8180, 8844, 1167, 15353, 31446, 1137, 1446, 3752, 13196, 4985, 27095, 15510, 83, 6482, 51, 13196, 25545, 3095, 32, 29693, 25692, 97, 23485, 1045, 4830, 20549, 31446, 1075, 26022, 8180, 8844, 1167, 14, 3929, 23485, 1045, 4830, 4699, 15353, 31446, 83, 1259, 1046, 13196, 1038, 8180, 20549, 14, 4495, 2903, 8180, 20549, 31446, 1075, 32, 76, 9380, 8180, 4699, 15353, 31446, 14137, 8840, 1075, 1105, 8180, 14750, 14, 75, 14, 2659, 1406, 97, 8, 6092, 3636, 23485, 89, 21344, 1916, 4425, 15353, 27095, 3929, 75, 31446, 1075, 20, 14137, 8840, 1075, 1105, 8180, 2162, 1363, 14, 75, 14, 2659, 1406, 97, 8, 6092, 3636, 8, 8153, 8840, 1075, 1105, 8, 99, 5885, 15510, 14463, 44, 9380, 39, 13757, 32, 29693, 14, 20918, 97, 75, 35, 1802, 20549, 14, 2100, 14137, 8840, 1075, 1105, 9695, 32, 76, 9380, 20422, 3719, 1006, 8, 3929, 23485, 6348, 35, 1802, 26277, 31446, 78, 3655, 8, 3929, 23485, 1331, 16650, 35, 1802, 1781, 1010, 1223, 31446, 1075, 8180, 89, 2853, 6206, 31446, 1075, 8, 3929, 23485, 2903, 35, 75, 33, 23485, 1137, 1446, 29944, 25692, 10675, 33, 1802, 76, 84, 9068, 6482, 40, 2126, 3265, 51, 13196, 35, 29693, 14, 84, 15, 97, 3386, 1686, 35, 97, 5316, 89, 52, 3471, 9739, 2471, 4425, 15353, 12943, 83, 24914, 1529, 23784, 1406, 5316, 89, 15353, 12943, 8153, 8840, 1075, 1105, 1406, 2095, 11917, 3471, 1925, 1061, 12943, 21, 19982, 16654, 15510, 79, 35, 1802, 1774, 17997, 14, 97, 15510, 5793, 84, 3929, 22721, 7424, 75, 2450, 14, 29693, 25692, 97, 3386, 1028, 35, 8855, 1030, 14, 75, 14, 1773, 1020, 1349, 10124, 27095, 10675, 15, 14, 80, 8563, 3929, 2936, 20912, 2065, 663, 11658, 17698, 1026, 8159, 10888, 1458, 5, 17198, 19061, 5, 663, 21358, 13067, 24848, 3035, 1691, 71, 4076, 2051, 1940, 5742, 2847, 5026, 1066, 1582, 11068, 17722, 28204, 2503, 1392, 23141, 4679, 8578, 7054, 13389, 1009, 25173, 1009, 4152, 3564, 1065, 1328, 30381, 9531, 1053, 2565, 4429, 3529, 1868, 9213, 1100, 3258, 1009, 31970, 5628, 1006, 28259, 1809, 14221, 29554, 5220, 12199, 1273, 3004, 1503, 24306, 2307, 7005, 1044, 2550, 1493, 1143, 2873, 1005, 1033, 20468, 20, 2605, 1996, 1009, 4347, 1322, 1026, 8059, 2784, 4647, 4347, 1187, 9467, 5101, 1400, 1054, 2127, 5462, 14388, 51, 2982, 3710, 1060, 4429, 1081, 4614, 20, 2306, 1323, 9638, 1072, 9891, 4009, 52, 13107, 1685, 40, 2477, 1137, 27379, 1566, 3634, 1261, 4947, 1048, 9686, 2237, 3757, 1132, 4859, 9467, 1029, 2917, 1060, 7528, 2360, 1049, 1801, 1081, 1048, 1096, 1114, 1061, 5921, 1024, 8883, 17, 18, 22011, 1558, 90, 1412, 2848, 18, 1309, 1160, 1225, 10851, 2340, 1503, 11455, 1077, 14399, 1309, 1054, 6781, 1132, 4234, 1048, 9686, 1327, 2129, 19, 1595, 4328, 1229, 4614, 1305, 29581, 5956, 1048, 1009, 2693, 1006, 2348, 17669, 1239, 1327, 8134, 1187, 3460, 1048, 1566, 4360, 1803, 1006, 9178, 1096, 4724, 5216, 1026, 8575, 3615, 1096, 31173, 18, 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 ]

[ 10557, 2309, 18445, 1026, 4041, 1309, 5948, 7110, 6639, 10557, 2309, 3997, 1271, 3680, 1318, 2457, 5948, 1566, 1096, 4810, 7, 21216, 7898, 18, 9189, 1508, 1044, 11093, 2678, 1370, 1072, 7751, 1063, 4380, 1271, 3680, 9507, 10592, 3997, 1516, 2360, 1005, 11553, 1005, 21734, 15835, 23814, 8261, 1009, 11600, 1836, 1847, 20723, 1236, 1118, 2220, 1026, 2497, 1009, 11413, 4475, 5126, 1770, 2241, 2348, 7668, 1009, 5290, 3063, 5949, 5723, 28305, 8396, 1009, 2373, 1021, 5299, 79, 2012, 25505, 8226, 1551, 1702, 15199, 27131, 3599, 1037, 1188, 1026, 1090, 1568, 1053, 1704, 3066, 1096, 1094, 5937, 4203, 14211, 1060, 7475, 1159, 1006, 1225, 1236, 13010, 1187, 18445, 1048, 1495, 3004, 2653, 1160, 11825, 1058, 3711, 1195, 5159, 1140, 1005, 1006, 7064, 1060, 2573, 1009, 2011, 1048, 1516, 9124, 1962, 17128, 88, 8061, 1229, 1005, 1783, 1048, 1160, 1657, 2039, 2644, 1159, 23663, 1068, 1048, 2653, 1187, 4203, 9509, 1072, 3066, 1006, 1331, 1813, 4830, 1084, 1006, 11355, 1184, 17047, 1009, 2252, 1213, 2822, 1049, 11725, 1463, 9496, 1060, 7318, 32, 20025, 29420, 81, 158, 3711, 2039, 10748, 1005, 1043, 1687, 2693, 1006, 1224, 16234, 1063, 7318, 6733, 5573, 1048, 2328, 1009, 7676, 1005, 15527, 1049, 13929, 1060, 3486, 20025, 7289, 1006, 4575, 1005, 31399, 11032, 6685, 1009, 2071, 1044, 2574, 1006, 15313, 1059, 13, 42, 1024, 1124, 13436, 1962, 3230, 10529, 1005, 1213, 2930, 3266, 6812, 37, 2656, 12816, 1048, 1026, 4241, 1058, 1863, 2154, 5573, 1048, 15893, 2614, 3101, 7241, 6027, 1213, 6141, 1006, 5085, 20, 2605, 2574, 4800, 1663, 1356, 8061, 85, 2097, 5037, 1800, 1288, 1132, 7360, 1187, 29076, 1134, 4927, 1046, 1026, 1048, 6510, 16663, 12370, 91, 1656, 4328, 1229, 1745, 7142, 1235, 30353, 2199, 10939, 1033, 1130, 2040, 1009, 2073, 2596, 20, 12710, 15658, 2106, 11247, 1250, 1030, 7142, 1456, 7360, 1009, 3794, 15446, 1872, 7, 13, 2794, 1052, 78, 29420, 81, 158, 13312, 1052, 78, 29420, 81, 158, 2569, 1044, 3129, 1493, 2512, 1114, 2042, 1049, 4398, 1876, 1005, 1114, 3961, 1357, 17924, 1346, 1005, 1096, 9940, 1622, 5574, 1044, 2574, 1049, 1048, 1195, 2122, 8211, 1620, 1048, 1043, 1044, 2373, 1164, 1295, 626, 1009, 1768, 7863, 2858, 1009, 1456, 4679, 11442, 1009, 2373, 1013, 21160, 9299, 4324, 1620, 2277, 1124, 9496, 1060, 1584, 5696, 1195, 1094, 16362, 21831, 1009, 14614, 1054, 1578, 4700, 1054, 4188, 1006, 3764, 9709, 16074, 23462, 1571, 1596, 19387, 1312, 1011, 1585, 3280, 4107, 1007, 3150, 3782, 1054, 14727, 4180, 1054, 1048, 3680, 15593, 2829, 1023, 77, 9896, 1006, 2997, 25365, 1459, 1114, 13158, 1096, 1493, 3445, 3592, 21407, 29420, 81, 158, 7, 675, 697, 5, 13792, 31486, 3097, 31737, 1471, 1299, 1094, 6671, 1126, 1271, 1184, 2519, 1678, 1005, 1323, 17128, 1848, 1717, 9210, 1309, 2364, 1096, 1026, 2803, 1009, 1058, 15299, 1356, 8061, 1667, 6053, 1645, 150, 1026, 1557, 1009, 9149, 1800, 1006, 4380, 1060, 14650, 1309, 1160, 1118, 2097, 20, 624, 5, 623, 132, 3907, 1009, 9149, 1026, 3282, 1009, 4327, 1511, 1668, 3684, 1096, 1915, 1069, 7, 13, 31389, 2315, 1318, 2691, 9496, 1060, 7318, 1048, 1207, 17159, 1009, 3124, 2039, 1379, 1005, 1195, 9803, 1009, 3863, 1006, 8946, 2975, 1309, 2693, 1006, 2042, 1048, 1195, 6754, 1068, 1006, 4575, 1195, 15313, 1009, 1982, 75, 4862, 81, 1344, 9374, 18, 1048, 30334, 1114, 4575, 1094, 2596, 1009, 2997, 4005, 1679, 18445, 1060, 4180, 18566, 1044, 3066, 1048, 2793, 1294, 4859, 10261, 1118, 2739, 7082, 6762, 1620, 1325, 15, 1986, 1006, 5655, 20, 10590, 1184, 1049, 1048, 5179, 1599, 1325, 1072, 2832, 1810, 1009, 19353, 1060, 2348, 1090, 1526, 1005, 1503, 12720, 1048, 1365, 1962, 1009, 7110, 1318, 6383, 1089, 5282, 1005, 1495, 1006, 4958, 7, 6174, 8796, 1907, 29420, 81, 158, 5036, 29609, 1229, 18727, 1040, 7994, 76, 2629, 1010, 1005, 3321, 16823, 1054, 7929, 1221, 1009, 7320, 1160, 25505, 1837, 1044, 4248, 1309, 1160, 12093, 1449, 7425, 1505, 1048, 2252, 1124, 15718, 1243, 9709, 1327, 17924, 2187, 1573, 37, 1505, 1160, 4207, 9673, 1009, 18248, 1024, 1044, 20628, 23883, 1048, 1693, 1261, 7788, 1043, 1044, 1915, 2586, 1058, 1213, 2444, 2167, 7142, 5501, 1006, 1025, 2477, 27950, 1112, 1054, 9319, 28772, 14058, 1118, 1431, 81, 28388, 1797, 3640, 54, 20761, 4414, 18517, 26032, 20071, 3093, 10812, 20780, 1623, 3093, 25744, 3093, 4398, 1876, 3093, 21407, 29420, 81, 158, 3093, 16760, 24520, 1239, 3093, 3064, 2178, 3093, 1982, 75, 4862, 81, 1344, 9374, 13492, 1235, 6737, 7, 8448, 23342, 1045, 10823, 7860, 89, 8532, 3286, 3471, 1925, 13226, 1234, 4861, 3265, 11927, 3265, 19649, 89, 19523, 2347, 1582, 3341, 1075, 2860, 1123, 1333, 3564, 1007, 1297, 1140, 1054, 8899, 18, 22758, 1350, 1005, 2225, 3013, 1187, 23198, 1551, 1024, 9942, 1005, 7099, 95, 12757, 4819, 20, 2193, 1466, 1081, 1140, 1118, 31251, 13274, 1005, 1054, 5872, 3606, 11277, 20, 7493, 1054, 1764, 3236, 1187, 10348, 1479, 6203, 2904, 1078, 2891, 2650, 1605, 4861, 1605, 1551, 1024, 9942, 1096, 1044, 4861, 4871, 9064, 13721, 1006, 1268, 17722, 1005, 12493, 18, 2204, 17464, 1049, 1784, 5886, 3335, 1365, 1734, 3812, 6572, 82, 1660, 19552, 1177, 1170, 3742, 2032, 12852, 1014, 1058, 4531, 13512, 1049, 1551, 1024, 9942, 37, 2613, 1222, 1044, 6455, 1068, 1009, 3144, 8475, 38, 14019, 20923, 21108, 68, 15551, 8891, 2059, 2307, 1068, 1419, 1858, 1187, 13161, 4696, 8849, 8041, 20299, 1149, 16893, 1544, 11068, 2178, 1071, 10997, 5056, 16760, 24520, 1239, 13383, 4368, 15, 31918, 20392, 5463, 16760, 2769, 19679, 6456, 4105, 20184, 1967, 6877, 10812, 6969, 1535, 30205, 14256, 7375, 10812, 10191, 1271, 14911, 23216, 5056, 10949, 2149, 4059, 15, 10812, 4523, 1153, 6447, 2149, 1404, 15, 2228, 1436, 10183, 11306, 10812, 2773, 1474, 10183, 6456, 1119, 6688, 10183, 4681, 12269, 86, 2646, 10183, 5056, 10812, 1067, 2104, 1271, 14911, 15150, 7375, 16077, 1071, 4705, 15, 16760, 6164, 1071, 6418, 15, 10812, 30436, 1071, 5515, 15, 1142, 1473, 2147, 1071, 5861, 15, 10812, 2172, 88, 2914, 6464, 1071, 4655, 15, 10812, 20780, 1623, 1071, 6955, 15, 6268, 1017, 10024, 7362, 1067, 11905, 10024, 7224, 12298, 3840, 80, 2783, 1071, 5003, 15, 10812, 2152, 5785, 10024, 4681, 10812, 8729, 1066, 1071, 5900, 15, 4429, 20282, 1071, 6259, 15, 5393, 4239, 1436, 1071, 4368, 15, 1424, 1520, 1303, 10357, 5463, 2656, 15373, 1055, 10357, 5463, 11428, 1071, 3949, 15, 14227, 2345, 1326, 1071, 3949, 15, 5826, 1568, 1034, 1071, 5235, 15, 6031, 2847, 1071, 4994, 15, 10812, 2172, 6605, 1269, 6464, 1071, 4673, 15, 1574, 3123, 10986, 1071, 4406, 15, 16953, 2651, 2897, 8465, 4681, 10812, 14615, 21218, 8465, 5056, 20334, 2297, 8465, 5056, 10812, 6447, 20914, 15, 31930, 1271, 7494, 12316, 19679, 15, 10812, 1180, 2077, 1140, 18999, 15, 10812, 25116, 1525, 18999, 15, 10812, 10407, 1303, 3883, 1326, 15236, 18999, 15, 1207, 55, 18999, 15, 1180, 16523, 17466, 15, 11686, 1967, 15, 10812, 1163, 4372, 28789, 2149, 7375, 5027, 2149, 7362, 30585, 1108, 2149, 7362, 28392, 1047, 2149, 7224, 10812, 9951, 1066, 2149, 7224, 10812, 1603, 18850, 2149, 6877, 10812, 30758, 1017, 1665, 2149, 6456, 6881, 5555, 1112, 2149, 6456, 1123, 4178, 2651, 1525, 2149, 6456, 10812, 2462, 1093, 2149, 5463, 10812, 28738, 1108, 2149, 4681, 10812, 30436, 1561, 25960, 10812, 17007, 95, 10183, 15, 4398, 1876, 10183, 15, 5549, 28789, 10407, 1303, 1071, 11306, 7411, 27662, 1071, 7375, 8527, 1187, 20804, 1071, 7362, 10812, 29938, 28789, 1071, 7224, 2462, 1093, 10812, 1071, 7224, 1, 20319, 2101, 1535, 3522, 1582, 7698, 2949, 29566, 2677, 2558, 1194, 28576, 1062, 30451, 5837, 4756, 28392, 1047, 2430, 7393, 13302, 2430, 7393, 1385, 31820, 2654, 24200, 1477, 4226, 24922, 3650, 1066, 1134, 1036, 1024, 16670, 2648, 21156, 1727, 11752, 3074, 11752, 12331, 2593, 10693, 15912, 27889, 5180, 1346, 1205, 1500, 1430, 1, 1150, 3929, 23485, 1331, 5882, 2652, 5442, 14, 2459, 2402, 1021, 31446, 4985, 3929, 23485, 8840, 1075, 1105, 20, 8844, 1167, 8176, 31446, 8840, 1382, 1019, 1171, 8, 3929, 23485, 2903, 27230, 31446, 8840, 1382, 1019, 1171, 29241, 90, 5183, 4985, 15510, 27480, 28531, 29693, 14, 20918, 97, 1174, 14, 1802, 14264, 8792, 4357, 2895, 11931, 4985, 97, 23485, 78, 2262, 21553, 7486, 14, 3929, 23485, 4699, 8096, 6351, 14, 3929, 23485, 1331, 5882, 2652, 5442, 31446, 1605, 22725, 1715, 2343, 17165, 2204, 1033, 16621, 2186, 4861, 21534, 3301, 15, 10675, 18, 4699, 8096, 6351, 32, 29693, 25692, 97, 23485, 8840, 1075, 1105, 20, 1781, 1010, 1223, 31446, 2903, 8180, 20549, 31446, 9618, 8180, 8844, 1167, 14, 3929, 23485, 8840, 1075, 1105, 20, 8844, 1167, 15353, 31446, 1137, 1446, 3752, 13196, 8, 3929, 23485, 2903, 14953, 15353, 31446, 1137, 1446, 3752, 13196, 8, 3929, 75, 31446, 1406, 97, 8, 6092, 3636, 8, 23784, 19, 10037, 8, 99, 1565, 24946, 14977, 14, 23485, 2903, 20, 1781, 1010, 1223, 31446, 2903, 4985, 15, 15510, 23784, 46, 1045, 1364, 32, 29693, 14, 90, 15, 97, 3386, 1028, 35, 1773, 1020, 33, 90, 23108, 14, 4495, 2903, 8180, 1137, 1446, 14, 29693, 25692, 97, 3386, 1030, 35, 75, 14, 1773, 1020, 3929, 90, 23108, 31446, 12155, 76, 9380, 8180, 4699, 15353, 31446, 1137, 1446, 3752, 13196, 8, 3929, 3386, 1686, 35, 75, 14, 1773, 1020, 1565, 20549, 31446, 1075, 20, 14137, 8840, 1075, 1105, 9695, 8180, 23954, 25692, 16, 75, 14, 1773, 1020, 1565, 20549, 31446, 1075, 20, 14137, 8840, 1075, 1105, 9695, 8180, 13254, 33, 90, 23108, 31446, 1075, 20, 8153, 8840, 1075, 1105, 8180, 73, 1476, 14, 97, 8, 1498, 11566, 7808, 3636, 88, 17, 8, 6309, 8, 99, 3929, 17463, 14463, 44, 9380, 39, 13757, 14, 90, 15, 15510, 29693, 25692, 97, 75, 14, 1773, 1020, 1565, 20549, 31446, 12155, 76, 9380, 8180, 8844, 1167, 15353, 31446, 1137, 1446, 3752, 13196, 4985, 27095, 15510, 83, 6482, 51, 13196, 25545, 3095, 32, 29693, 25692, 97, 23485, 1045, 4830, 20549, 31446, 1075, 26022, 8180, 8844, 1167, 14, 3929, 23485, 1045, 4830, 4699, 15353, 31446, 83, 1259, 1046, 13196, 1038, 8180, 20549, 14, 4495, 2903, 8180, 20549, 31446, 1075, 32, 76, 9380, 8180, 4699, 15353, 31446, 14137, 8840, 1075, 1105, 8180, 14750, 14, 75, 14, 2659, 1406, 97, 8, 6092, 3636, 23485, 89, 21344, 1916, 4425, 15353, 27095, 3929, 75, 31446, 1075, 20, 14137, 8840, 1075, 1105, 8180, 2162, 1363, 14, 75, 14, 2659, 1406, 97, 8, 6092, 3636, 8, 8153, 8840, 1075, 1105, 8, 99, 5885, 15510, 14463, 44, 9380, 39, 13757, 32, 29693, 14, 20918, 97, 75, 35, 1802, 20549, 14, 2100, 14137, 8840, 1075, 1105, 9695, 32, 76, 9380, 20422, 3719, 1006, 8, 3929, 23485, 6348, 35, 1802, 26277, 31446, 78, 3655, 8, 3929, 23485, 1331, 16650, 35, 1802, 1781, 1010, 1223, 31446, 1075, 8180, 89, 2853, 6206, 31446, 1075, 8, 3929, 23485, 2903, 35, 75, 33, 23485, 1137, 1446, 29944, 25692, 10675, 33, 1802, 76, 84, 9068, 6482, 40, 2126, 3265, 51, 13196, 35, 29693, 14, 84, 15, 97, 3386, 1686, 35, 97, 5316, 89, 52, 3471, 9739, 2471, 4425, 15353, 12943, 83, 24914, 1529, 23784, 1406, 5316, 89, 15353, 12943, 8153, 8840, 1075, 1105, 1406, 2095, 11917, 3471, 1925, 1061, 12943, 21, 19982, 16654, 15510, 79, 35, 1802, 1774, 17997, 14, 97, 15510, 5793, 84, 3929, 22721, 7424, 75, 2450, 14, 29693, 25692, 97, 3386, 1028, 35, 8855, 1030, 14, 75, 14, 1773, 1020, 1349, 10124, 27095, 10675, 15, 14, 80, 8563, 3929, 2936, 20912, 2065, 663, 11658, 17698, 1026, 8159, 10888, 1458, 5, 17198, 19061, 5, 663, 21358, 13067, 24848, 3035, 1691, 71, 4076, 2051, 1940, 5742, 2847, 5026, 1066, 1582, 11068, 17722, 28204, 2503, 1392, 23141, 4679, 8578, 7054, 13389, 1009, 25173, 1009, 4152, 3564, 1065, 1328, 30381, 9531, 1053, 2565, 4429, 3529, 1868, 9213, 1100, 3258, 1009, 31970, 5628, 1006, 28259, 1809, 14221, 29554, 5220, 12199, 1273, 3004, 1503, 24306, 2307, 7005, 1044, 2550, 1493, 1143, 2873, 1005, 1033, 20468, 20, 2605, 1996, 1009, 4347, 1322, 1026, 8059, 2784, 4647, 4347, 1187, 9467, 5101, 1400, 1054, 2127, 5462, 14388, 51, 2982, 3710, 1060, 4429, 1081, 4614, 20, 2306, 1323, 9638, 1072, 9891, 4009, 52, 13107, 1685, 40, 2477, 1137, 27379, 1566, 3634, 1261, 4947, 1048, 9686, 2237, 3757, 1132, 4859, 9467, 1029, 2917, 1060, 7528, 2360, 1049, 1801, 1081, 1048, 1096, 1114, 1061, 5921, 1024, 8883, 17, 18, 22011, 1558, 90, 1412, 2848, 18, 1309, 1160, 1225, 10851, 2340, 1503, 11455, 1077, 14399, 1309, 1054, 6781, 1132, 4234, 1048, 9686, 1327, 2129, 19, 1595, 4328, 1229, 4614, 1305, 29581, 5956, 1048, 1009, 2693, 1006, 2348, 17669, 1239, 1327, 8134, 1187, 3460, 1048, 1566, 4360, 1803, 1006, 9178, 1096, 4724, 5216, 1026, 8575, 3615, 1096, 31173, 18, 1006 ]

[ 377, 72, 386, 82, 675, 377, 1028, 386, 1172, 8243, 377, 3158, 8466, 1268, 17722, 1005, 1268, 17722, 1009, 3480, 2566, 31310, 1495, 2364, 4548, 1657, 14872, 19689, 1049, 2011, 2429, 2573, 1009, 7212, 1728, 1138, 2444, 1096, 19891, 1657, 1006, 2373, 19834, 2147, 1064, 1361, 626, 14131, 5345, 5126, 15082, 1679, 4731, 13806, 1305, 14583, 1043, 1044, 2490, 15801, 1752, 18411, 14852, 25781, 1044, 1807, 2285, 1009, 4209, 1048, 1693, 6016, 2073, 1044, 1048, 10985, 29867, 1533, 6375, 1928, 85, 1096, 1048, 1096, 24379, 25512, 7847, 1043, 1044, 5054, 1009, 2666, 1114, 7091, 22283, 1479, 2237, 1096, 1006, 3568, 1049, 5357, 4441, 4731, 8730, 1026, 2161, 6460, 1060, 13429, 1072, 27846, 2098, 2836, 1371, 1419, 1048, 1857, 21040, 7781, 1127, 1930, 2289, 1325, 18642, 1233, 1025, 3320, 2494, 3364, 1271, 6236, 1015, 1147, 1072, 23680, 8261, 1118, 3865, 1187, 13806, 5372, 7010, 2504, 1089, 1026, 20575, 1160, 1837, 15650, 1728, 1138, 9271, 10548, 1068, 1663, 1044, 14583, 8981, 14246, 1132, 4972, 1049, 5496, 4441, 3538, 1060, 11818, 1049, 19746, 1327, 16567, 2301, 1006, 4639, 10005, 27, 1068, 1048, 2133, 1040, 1305, 3171, 1054, 15250, 9076, 20, 1776, 19746, 1083, 9902, 4351, 1026, 3756, 1213, 16019, 1026, 1048, 1318, 1096, 1094, 1807, 9013, 20, 1766, 11988, 1693, 6534, 1717, 22593, 1011, 5432, 25651, 1054, 3538, 1009, 7975, 1005, 10545, 1014, 4065, 20341, 1009, 27371, 1009, 3596, 3450, 1005, 11542, 1006, 6654, 1009, 1044, 19746, 22800, 19848, 2157, 1049, 23665, 1467, 1347, 1009, 10327, 1026, 3609, 1072, 31157, 13341, 1068, 1006, 8626, 1009, 9007, 1009, 3227, 1009, 1235, 7044, 1005, 14199, 13049, 1068, 10327, 6137, 1009, 14656, 1009, 6768, 6240, 7823, 13037, 1235, 2326, 1009, 11717, 1206, 8083, 29957, 1009, 2303, 1043, 1026, 1048, 1299, 1325, 7153, 18, 1068, 6016, 1006, 4169, 1048, 1853, 1058, 4330, 71, 1213, 1048, 1299, 1325, 7153, 20, 1063, 2924, 4169, 2909, 2328, 1009, 1044, 2326, 1009, 11717, 1048, 1299, 11720, 14246, 1072, 2568, 1009, 1287, 5304, 2561, 2002, 1231, 1054, 2089, 7943, 1009, 14234, 1005, 1992, 1118, 5615, 6788, 3251, 1206, 1184, 3770, 18295, 11464, 1054, 1094, 6681, 2528, 1299, 17212, 1009, 1779, 1006, 26449, 1184, 3453, 1058, 1026, 3435, 1234, 10492, 20, 6805, 3632, 1224, 10584, 7893, 2154, 6455, 18, 2285, 1009, 7604, 1005, 2089, 25057, 1603, 1299, 6678, 1044, 2326, 16877, 17570, 1160, 1058, 19298, 1009, 6251, 27544, 1072, 3428, 1043, 1026, 1592, 22547, 3713, 1298, 22660, 1160, 1657, 1072, 1968, 5624, 2509, 1005, 1072, 1953, 1182, 4699, 1803, 1309, 1318, 1054, 13329, 1009, 1734, 14189, 8124, 1114, 5253, 1005, 1294, 2138, 2365, 2098, 18203, 1161, 1005, 13806, 1049, 7658, 1060, 2573, 1009, 14234, 1766, 7222, 1752, 1044, 5473, 16350, 1009, 11717, 16129, 8134, 1068, 1132, 9734, 1264, 6515, 12156, 11707, 1009, 2303, 1043, 1752, 3444, 23134, 7407, 8886, 1044, 5473, 4540, 1358, 1248, 2612, 1043, 1044, 3041, 7347, 1009, 1581, 2485, 1206, 4473, 1044, 7166, 1009, 1557, 7962, 28051, 1954, 1188, 1068, 1048, 1026, 1592, 2374, 2111, 2270, 6062, 1096, 1044, 2326, 1043, 1026, 1428, 1132, 10829, 13589, 1094, 9050, 1054, 2693, 1006, 11818, 1009, 3195, 1048, 17420, 4883, 1206, 1054, 1094, 1751, 5473, 26051, 5841, 1096, 1094, 1871, 1493, 4114, 1271, 3056, 4928, 23134, 1573, 4532, 29408, 1184, 4209, 1005, 5319, 1026, 1235, 7423, 1009, 2518, 1728, 7273, 13056, 1048, 3530, 16350, 1009, 11717, 15829, 1009, 7320, 18011, 11693, 12181, 10316, 16410, 1114, 13472, 7223, 2097, 2089, 10067, 18282, 1054, 3195, 28087, 5653, 1048, 1026, 1083, 9902, 22197, 1096, 1026, 1853, 2788, 1009, 14234, 3900, 1817, 10190, 4693, 2350, 1271, 9762, 2643, 1044, 3756, 1009, 18796, 1068, 1058, 7479, 3033, 1043, 1026, 13650, 27514, 2315, 1006, 3780, 1068, 5872, 1006, 4556, 1322, 1026, 1083, 9902, 6220, 2494, 10510, 18321, 1004, 1508, 1094, 19884, 1294, 2653, 3140, 1005, 5625, 1271, 10539, 7878, 1083, 93, 8376, 1119, 10939, 1094, 19884, 17254, 1072, 2380, 1009, 13806, 1083, 9902, 1048, 1264, 4351, 1006, 1456, 4209, 7178, 7297, 2481, 7682, 2653, 6335, 1009, 5496, 1054, 2256, 31836, 1273, 1005, 1837, 5875, 1009, 25902, 1213, 5595, 2978, 3229, 1118, 4604, 1779, 2250, 1118, 9269, 2535, 3241, 1702, 2863, 1213, 7682, 1026, 17042, 3423, 1187, 10228, 4328, 5624, 18952, 1026, 1083, 9902, 1225, 1044, 19746, 1043, 1009, 1029, 1014, 1213, 31324, 1063, 8626, 1009, 3538, 1213, 5595, 5631, 2539, 4267, 1009, 29592, 80, 1965, 1005, 1484, 16614, 1680, 1159, 9587, 1945, 20, 1063, 8626, 3546, 72, 1095, 5631, 1953, 14986, 22222, 1627, 5441, 1643, 1005, 14234, 1213, 5595, 1054, 1946, 1061, 30405, 9169, 4634, 22355, 1006, 2451, 1318, 6321, 1094, 5309, 1009, 5441, 1643, 1043, 1006, 4008, 1009, 6534, 1054, 2754, 22214, 1213, 1592, 8410, 2494, 1083, 9902, 1299, 1298, 12058, 1026, 3609, 1072, 4002, 1206, 14148, 1305, 3171, 2904, 1140, 2666, 3684, 6676, 1945, 1094, 3513, 24229, 18210, 2656, 1096, 17605, 13699, 2754, 7685, 1114, 1083, 61, 2321, 3873, 10294, 3783, 7685, 1349, 2071, 1094, 2612, 1068, 3638, 1048, 1160, 4444, 1009, 14234, 1206, 7682, 1044, 6137, 1048, 6957, 5604, 1026, 2568, 1009, 7212, 1728, 4733, 13699, 1094, 2612, 2328, 1009, 1094, 7271, 9226, 1160, 1058, 19298, 1009, 14246, 1026, 2326, 25819, 1005, 12116, 1006, 10584, 1059, 0, 1972, 1825, 1870, 1299, 3135, 1663, 14234, 16323, 1043, 10232, 26134, 1009, 1307, 1206, 10922, 1603, 1299, 2734, 1930, 1751, 1187, 9996, 2177, 27939, 1060, 2612, 13806, 1068, 1006, 2612, 18032, 3316, 1271, 5480, 1184, 25341, 1009, 4305, 17320, 1096, 15993, 1054, 4280, 1043, 1044, 13091, 1009, 5875, 2328, 1049, 25902, 1213, 31324, 3713, 1298, 2808, 1044, 8036, 1009, 5975, 1054, 1752, 3922, 1049, 13540, 20, 1551, 2303, 1043, 1026, 17320, 1187, 7212, 5783, 4215, 5510, 1009, 1791, 1006, 2125, 4686, 1068, 4305, 1094, 3484, 11492, 3074, 1072, 1083, 2020, 1021, 1124, 14234, 4215, 8619, 2486, 5048, 1063, 2573, 1009, 14234, 4351, 14583, 1005, 12249, 22468, 1009, 2225, 1554, 4733, 1668, 9327, 3041, 1009, 4248, 1495, 2364, 2598, 13115, 20135, 13078, 5035, 1048, 1096, 9803, 2127, 4022, 1233, 5286, 1009, 23208, 29653, 8218, 1188, 1118, 2348, 3486, 3513, 1213, 4659, 1054, 4280, 1043, 1026, 3159, 1009, 5875, 1060, 2573, 1009, 14234, 1059, 1021, 2649, 2482, 32, 14234, 1009, 3596, 13851, 1005, 19746, 4889, 1068, 4731, 7178, 5848, 1817, 13407, 1132, 4209, 5036, 7212, 1273, 30421, 1054, 10190, 13148, 19900, 1009, 18981, 1009, 1080, 1550, 3662, 18413, 1054, 4280, 1043, 1026, 5875, 6304, 1005, 23006, 16525, 1043, 1026, 16872, 1377, 3713, 1298, 1663, 1094, 2612, 2307, 1054, 2754, 14288, 18011, 5841, 14852, 25781, 1044, 1807, 2285, 1009, 4209, 1048, 1693, 6016, 2073, 1044, 1048, 10985, 29867, 20, 1138, 2788, 4351, 22275, 1005, 1710, 2925, 1160, 1657, 1068, 1205, 4719, 1005, 15895, 73, 11225, 1309, 1318, 1068, 2754, 3525, 2032, 4924, 1392, 1704, 2161, 8407, 1068, 14583, 1096, 1009, 1782, 2824, 1206, 1026, 12227, 1054, 2073, 1094, 1271, 31836, 1728, 1063, 2573, 1009, 14234, 1160, 22779, 4697, 10562, 1118, 14583, 1005, 12249, 20, 7027, 1132, 2250, 1989, 6724, 19642, 3606, 4539, 4650, 8913, 1048, 1132, 4731, 4290, 2096, 3847, 1365, 1184, 1009, 21695, 22021, 2966, 14234, 1009, 1968, 5624, 29261, 1083, 9902, 1561, 1159, 2573, 1009, 14234, 7492, 1288, 12186, 1009, 2666, 1009, 1062, 1154, 1231, 1667, 4567, 1009, 4855, 1026, 2683, 2586, 1664, 1132, 3398, 4731, 1060, 1083, 9902, 13326, 1044, 13806, 2127, 1009, 7325, 6785, 27139, 1294, 4181, 1422, 22275, 15377, 1166, 1072, 17042, 1138, 2161, 1298, 4537, 1495, 1044, 3225, 1009, 6514, 8401, 3743, 4550, 5986, 1026, 3453, 1060, 2612, 1005, 8913, 1493, 1184, 3229, 1009, 19478, 1005, 12110, 1009, 15383, 7284, 1059, 8197, 1327, 1132, 16350, 16877, 1918, 1206, 12181, 1068, 1083, 61, 1021, 1054, 9195, 6391, 13719, 1162, 1061, 1870, 12413, 2653, 13806, 8042, 1043, 1006, 3595, 1049, 4819, 20, 1766, 3140, 1009, 1083, 61, 1021, 1106, 21344, 1318, 1327, 1493, 8124, 1365, 1132, 4731, 30845, 1063, 2451, 1225, 1094, 12186, 4750, 1060, 6610, 1009, 3945, 1009, 1062, 1154, 1231, 1667, 3423, 2668, 1160, 1837, 19768, 7492, 1009, 6534, 1043, 3453, 2733, 1054, 5203, 12515, 1072, 6220, 24578, 1006, 3005, 1124, 6444, 1060, 1083, 61, 1021, 22197, 1327, 12499, 1005, 1289, 12316, 7791, 1058, 1026, 1235, 11717, 1195, 15335, 6565, 7550, 4659, 1072, 1083, 9902, 1005, 1663, 1094, 13429, 6594, 1136, 2339, 19246, 1026, 2859, 20, 3713, 1298, 13699, 1224, 2612, 2301, 1235, 6455, 18, 2285, 1009, 8079, 1206, 2612, 1009, 7271, 16406, 1138, 2788, 1318, 13320, 1026, 4465, 1049, 2161, 1009, 13720, 1068, 1124, 14234, 6594, 1136, 12316, 1603, 1299, 21751, 1094, 13429, 1043, 1356, 2444, 1487, 22021, 1299, 1298, 5319, 1456, 15383, 1054, 1779, 2541, 7089, 18, 8769, 1009, 18508, 3770, 1826, 20235, 1114, 13429, 20750, 1533, 19584, 10539, 1009, 14234, 1083, 9902, 10067, 1044, 2380, 1009, 13806, 23838, 1100, 10892, 10232, 26134, 1005, 1044, 3609, 11016, 1009, 21940, 1063, 13734, 3633, 1325, 5321, 1114, 8626, 14232, 4205, 4535, 626, 1114, 3922, 2751, 1049, 2788, 3092, 1060, 2573, 1009, 7212, 1728, 3713, 1298, 2504, 4882, 19578, 1054, 8255, 4002, 1005, 14203, 20, 4733, 1006, 7442, 1005, 9478, 18, 1487, 6435, 2296, 1245, 1010, 3775, 7264, 8003, 1114, 2612, 1049, 3142, 1159, 1080, 1550, 9039, 1972, 7212, 1930, 1299, 3135, 22660, 1054, 2987, 1043, 1026, 9536, 89, 1009, 3646, 23, 1206, 4260, 5721, 1255, 12515, 1054, 1083, 61, 1021, 1005, 15006, 75, 1009, 24763, 26486, 2301, 1132, 1184, 19459, 31677, 1009, 11717, 1083, 61, 1021, 1048, 6588, 1027, 1006, 1299, 10048, 22828, 18282, 1054, 1569, 9666, 20, 1063, 2573, 1009, 14234, 1083, 9902, 8944, 1048, 1132, 1249, 6469, 6762, 5116, 1872, 4270, 4535, 1068, 1026, 2788, 15, 4444, 20899, 3600, 1076, 13994, 1006, 1456, 4731, 20, 1972, 1977, 1930, 1235, 2751, 3435, 1054, 1094, 3780, 1049, 5357, 1213, 13595, 2373, 23, 9902, 626, 15437, 71, 1068, 1044, 6724, 1048, 3134, 1026, 20938, 2733, 1479, 1009, 3062, 1096, 4445, 4659, 1072, 17042, 5153, 18, 1837, 1094, 1345, 71, 14232, 4991, 1024, 1026, 2788, 626, 1114, 8790, 1126, 1048, 1325, 4725, 1072, 7632, 4260, 5053, 9780, 9641, 5420, 1044, 5646, 1048, 1299, 1298, 5047, 1213, 1235, 9740, 1068, 12742, 1026, 2788, 1005, 2071, 1068, 4659, 20, 4714, 10069, 1118, 13806, 1118, 17917, 25690, 1005, 1026, 3609, 1837, 1493, 1557, 1533, 7628, 1016, 1124, 7707, 1049, 4168, 11016, 1693, 1178, 2504, 1312, 19578, 1049, 13540, 1083, 61, 8376, 1138, 13806, 1009, 7325, 6785, 27139, 1096, 19387, 1069, 1054, 1094, 2612, 2127, 1005, 1976, 1178, 7212, 1069, 1996, 1048, 1026, 3453, 4172, 1178, 6604, 9780, 1972, 3005, 1299, 3135, 1663, 14234, 4283, 5618, 1206, 1054, 1557, 2733, 1054, 9297, 1043, 10232, 26134, 1365, 5843, 22, 1005, 13270, 20, 11149, 1791, 4267, 1009, 4540, 1358, 7174, 1044, 1096, 1044, 2326, 1048, 1096, 19592, 1069, 1114, 5643, 20515, 1138, 2277, 1096, 1044, 4941, 1043, 1044, 2326, 1009, 13911, 15323, 3283, 12980, 21422, 1324, 1005, 1235, 11717, 2177, 1009, 27432, 8863, 1049, 2161, 3225, 1114, 29277, 1060, 1287, 5304, 1138, 2490, 1009, 3794, 31677, 16877, 1918, 1096, 5560, 5372, 2784, 1305, 1006, 4716, 1009, 9069, 16089, 1206, 5684, 1009, 6083, 1030, 1171, 7106, 1072, 17042, 1, 31978, 1006, 2348, 1323, 52, 1342, 7, 1006, 2348, 1025, 1524, 22060, 1317, 79, 45, 71, 1715, 71, 6095, 1048, 1317, 10277, 1317, 53, 1005, 6722, 56, 1089, 1600, 56, 71, 1305, 19881, 7, 1006, 1295, 31370, 1118, 1048, 51, 24155, 1006, 1050, 47, 1196, 3226, 71, 1295, 31370, 1048, 1323, 1011, 16739, 1437, 75, 1853, 1048, 6082, 3226, 89, 53, 91, 1006, 1008, 1262, 53, 71, 1184, 1015, 22060, 1410, 1196, 1049, 4079, 53, 1118, 1261, 1094, 1025, 1524, 22060, 12717, 1011, 53, 1263, 12931, 7, 1160, 1710, 40, 1018, 1011, 53, 1263, 27018, 53, 11274, 1054, 1710, 40, 1014, 1048, 1395, 27018, 53, 1005, 1026, 1048, 31978, 1068, 4982, 1715, 1, 14530, 1006, 2071, 9983, 1068, 3684, 2997, 1006, 1853, 3513, 1054, 2930, 17042, 4116, 5711, 1006, 7682, 1026, 2930, 13540, 21113, 1043, 1006, 3028, 7461, 1009, 7547, 11393, 1, 13955, 18666, 1026, 1235, 3489, 1009, 5758, 1044, 3373, 7104, 2340, 1616, 15282, 10495, 1048, 1299, 3135, 9280, 7297, 4230, 2373, 12841, 7221, 626, 1026, 4431, 1357, 11480, 32, 1006, 2068, 1071, 2510, 7989, 9783, 1422, 21442, 6299, 1009, 6815, 15, 2536, 1235, 28278, 18630, 7347, 1068, 1044, 3489, 15940, 14313, 6097, 1157, 1124, 1422, 5314, 32, 9822, 5295, 1041, 5160, 29067, 27196, 5879, 15, 1833, 3004, 3230, 1977, 1508, 1006, 5987, 1068, 5224, 1048, 4749, 1040, 4431, 1068, 2116, 3144, 11014, 2700, 1009, 7896, 4803, 3291, 1571, 2808, 1044, 28278, 18630, 1184, 20058, 1063, 1944, 2218, 2094, 3230, 3739, 2602, 21884, 1213, 4431, 6023, 1533, 7461, 1049, 4431, 1114, 13664, 1096 ]

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

[ 377, 72, 386, 82, 675, 377, 1028, 386, 1172, 8243, 377, 3158, 8466, 1268, 17722, 1005, 1268, 17722, 1009, 3480, 2566, 31310, 1495, 2364, 4548, 1657, 14872, 19689, 1049, 2011, 2429, 2573, 1009, 7212, 1728, 1138, 2444, 1096, 19891, 1657, 1006, 2373, 19834, 2147, 1064, 1361, 626, 14131, 5345, 5126, 15082, 1679, 4731, 13806, 1305, 14583, 1043, 1044, 2490, 15801, 1752, 18411, 14852, 25781, 1044, 1807, 2285, 1009, 4209, 1048, 1693, 6016, 2073, 1044, 1048, 10985, 29867, 1533, 6375, 1928, 85, 1096, 1048, 1096, 24379, 25512, 7847, 1043, 1044, 5054, 1009, 2666, 1114, 7091, 22283, 1479, 2237, 1096, 1006, 3568, 1049, 5357, 4441, 4731, 8730, 1026, 2161, 6460, 1060, 13429, 1072, 27846, 2098, 2836, 1371, 1419, 1048, 1857, 21040, 7781, 1127, 1930, 2289, 1325, 18642, 1233, 1025, 3320, 2494, 3364, 1271, 6236, 1015, 1147, 1072, 23680, 8261, 1118, 3865, 1187, 13806, 5372, 7010, 2504, 1089, 1026, 20575, 1160, 1837, 15650, 1728, 1138, 9271, 10548, 1068, 1663, 1044, 14583, 8981, 14246, 1132, 4972, 1049, 5496, 4441, 3538, 1060, 11818, 1049, 19746, 1327, 16567, 2301, 1006, 4639, 10005, 27, 1068, 1048, 2133, 1040, 1305, 3171, 1054, 15250, 9076, 20, 1776, 19746, 1083, 9902, 4351, 1026, 3756, 1213, 16019, 1026, 1048, 1318, 1096, 1094, 1807, 9013, 20, 1766, 11988, 1693, 6534, 1717, 22593, 1011, 5432, 25651, 1054, 3538, 1009, 7975, 1005, 10545, 1014, 4065, 20341, 1009, 27371, 1009, 3596, 3450, 1005, 11542, 1006, 6654, 1009, 1044, 19746, 22800, 19848, 2157, 1049, 23665, 1467, 1347, 1009, 10327, 1026, 3609, 1072, 31157, 13341, 1068, 1006, 8626, 1009, 9007, 1009, 3227, 1009, 1235, 7044, 1005, 14199, 13049, 1068, 10327, 6137, 1009, 14656, 1009, 6768, 6240, 7823, 13037, 1235, 2326, 1009, 11717, 1206, 8083, 29957, 1009, 2303, 1043, 1026, 1048, 1299, 1325, 7153, 18, 1068, 6016, 1006, 4169, 1048, 1853, 1058, 4330, 71, 1213, 1048, 1299, 1325, 7153, 20, 1063, 2924, 4169, 2909, 2328, 1009, 1044, 2326, 1009, 11717, 1048, 1299, 11720, 14246, 1072, 2568, 1009, 1287, 5304, 2561, 2002, 1231, 1054, 2089, 7943, 1009, 14234, 1005, 1992, 1118, 5615, 6788, 3251, 1206, 1184, 3770, 18295, 11464, 1054, 1094, 6681, 2528, 1299, 17212, 1009, 1779, 1006, 26449, 1184, 3453, 1058, 1026, 3435, 1234, 10492, 20, 6805, 3632, 1224, 10584, 7893, 2154, 6455, 18, 2285, 1009, 7604, 1005, 2089, 25057, 1603, 1299, 6678, 1044, 2326, 16877, 17570, 1160, 1058, 19298, 1009, 6251, 27544, 1072, 3428, 1043, 1026, 1592, 22547, 3713, 1298, 22660, 1160, 1657, 1072, 1968, 5624, 2509, 1005, 1072, 1953, 1182, 4699, 1803, 1309, 1318, 1054, 13329, 1009, 1734, 14189, 8124, 1114, 5253, 1005, 1294, 2138, 2365, 2098, 18203, 1161, 1005, 13806, 1049, 7658, 1060, 2573, 1009, 14234, 1766, 7222, 1752, 1044, 5473, 16350, 1009, 11717, 16129, 8134, 1068, 1132, 9734, 1264, 6515, 12156, 11707, 1009, 2303, 1043, 1752, 3444, 23134, 7407, 8886, 1044, 5473, 4540, 1358, 1248, 2612, 1043, 1044, 3041, 7347, 1009, 1581, 2485, 1206, 4473, 1044, 7166, 1009, 1557, 7962, 28051, 1954, 1188, 1068, 1048, 1026, 1592, 2374, 2111, 2270, 6062, 1096, 1044, 2326, 1043, 1026, 1428, 1132, 10829, 13589, 1094, 9050, 1054, 2693, 1006, 11818, 1009, 3195, 1048, 17420, 4883, 1206, 1054, 1094, 1751, 5473, 26051, 5841, 1096, 1094, 1871, 1493, 4114, 1271, 3056, 4928, 23134, 1573, 4532, 29408, 1184, 4209, 1005, 5319, 1026, 1235, 7423, 1009, 2518, 1728, 7273, 13056, 1048, 3530, 16350, 1009, 11717, 15829, 1009, 7320, 18011, 11693, 12181, 10316, 16410, 1114, 13472, 7223, 2097, 2089, 10067, 18282, 1054, 3195, 28087, 5653, 1048, 1026, 1083, 9902, 22197, 1096, 1026, 1853, 2788, 1009, 14234, 3900, 1817, 10190, 4693, 2350, 1271, 9762, 2643, 1044, 3756, 1009, 18796, 1068, 1058, 7479, 3033, 1043, 1026, 13650, 27514, 2315, 1006, 3780, 1068, 5872, 1006, 4556, 1322, 1026, 1083, 9902, 6220, 2494, 10510, 18321, 1004, 1508, 1094, 19884, 1294, 2653, 3140, 1005, 5625, 1271, 10539, 7878, 1083, 93, 8376, 1119, 10939, 1094, 19884, 17254, 1072, 2380, 1009, 13806, 1083, 9902, 1048, 1264, 4351, 1006, 1456, 4209, 7178, 7297, 2481, 7682, 2653, 6335, 1009, 5496, 1054, 2256, 31836, 1273, 1005, 1837, 5875, 1009, 25902, 1213, 5595, 2978, 3229, 1118, 4604, 1779, 2250, 1118, 9269, 2535, 3241, 1702, 2863, 1213, 7682, 1026, 17042, 3423, 1187, 10228, 4328, 5624, 18952, 1026, 1083, 9902, 1225, 1044, 19746, 1043, 1009, 1029, 1014, 1213, 31324, 1063, 8626, 1009, 3538, 1213, 5595, 5631, 2539, 4267, 1009, 29592, 80, 1965, 1005, 1484, 16614, 1680, 1159, 9587, 1945, 20, 1063, 8626, 3546, 72, 1095, 5631, 1953, 14986, 22222, 1627, 5441, 1643, 1005, 14234, 1213, 5595, 1054, 1946, 1061, 30405, 9169, 4634, 22355, 1006, 2451, 1318, 6321, 1094, 5309, 1009, 5441, 1643, 1043, 1006, 4008, 1009, 6534, 1054, 2754, 22214, 1213, 1592, 8410, 2494, 1083, 9902, 1299, 1298, 12058, 1026, 3609, 1072, 4002, 1206, 14148, 1305, 3171, 2904, 1140, 2666, 3684, 6676, 1945, 1094, 3513, 24229, 18210, 2656, 1096, 17605, 13699, 2754, 7685, 1114, 1083, 61, 2321, 3873, 10294, 3783, 7685, 1349, 2071, 1094, 2612, 1068, 3638, 1048, 1160, 4444, 1009, 14234, 1206, 7682, 1044, 6137, 1048, 6957, 5604, 1026, 2568, 1009, 7212, 1728, 4733, 13699, 1094, 2612, 2328, 1009, 1094, 7271, 9226, 1160, 1058, 19298, 1009, 14246, 1026, 2326, 25819, 1005, 12116, 1006, 10584, 1059, 0, 1972, 1825, 1870, 1299, 3135, 1663, 14234, 16323, 1043, 10232, 26134, 1009, 1307, 1206, 10922, 1603, 1299, 2734, 1930, 1751, 1187, 9996, 2177, 27939, 1060, 2612, 13806, 1068, 1006, 2612, 18032, 3316, 1271, 5480, 1184, 25341, 1009, 4305, 17320, 1096, 15993, 1054, 4280, 1043, 1044, 13091, 1009, 5875, 2328, 1049, 25902, 1213, 31324, 3713, 1298, 2808, 1044, 8036, 1009, 5975, 1054, 1752, 3922, 1049, 13540, 20, 1551, 2303, 1043, 1026, 17320, 1187, 7212, 5783, 4215, 5510, 1009, 1791, 1006, 2125, 4686, 1068, 4305, 1094, 3484, 11492, 3074, 1072, 1083, 2020, 1021, 1124, 14234, 4215, 8619, 2486, 5048, 1063, 2573, 1009, 14234, 4351, 14583, 1005, 12249, 22468, 1009, 2225, 1554, 4733, 1668, 9327, 3041, 1009, 4248, 1495, 2364, 2598, 13115, 20135, 13078, 5035, 1048, 1096, 9803, 2127, 4022, 1233, 5286, 1009, 23208, 29653, 8218, 1188, 1118, 2348, 3486, 3513, 1213, 4659, 1054, 4280, 1043, 1026, 3159, 1009, 5875, 1060, 2573, 1009, 14234, 1059, 1021, 2649, 2482, 32, 14234, 1009, 3596, 13851, 1005, 19746, 4889, 1068, 4731, 7178, 5848, 1817, 13407, 1132, 4209, 5036, 7212, 1273, 30421, 1054, 10190, 13148, 19900, 1009, 18981, 1009, 1080, 1550, 3662, 18413, 1054, 4280, 1043, 1026, 5875, 6304, 1005, 23006, 16525, 1043, 1026, 16872, 1377, 3713, 1298, 1663, 1094, 2612, 2307, 1054, 2754, 14288, 18011, 5841, 14852, 25781, 1044, 1807, 2285, 1009, 4209, 1048, 1693, 6016, 2073, 1044, 1048, 10985, 29867, 20, 1138, 2788, 4351, 22275, 1005, 1710, 2925, 1160, 1657, 1068, 1205, 4719, 1005, 15895, 73, 11225, 1309, 1318, 1068, 2754, 3525, 2032, 4924, 1392, 1704, 2161, 8407, 1068, 14583, 1096, 1009, 1782, 2824, 1206, 1026, 12227, 1054, 2073, 1094, 1271, 31836, 1728, 1063, 2573, 1009, 14234, 1160, 22779, 4697, 10562, 1118, 14583, 1005, 12249, 20, 7027, 1132, 2250, 1989, 6724, 19642, 3606, 4539, 4650, 8913, 1048, 1132, 4731, 4290, 2096, 3847, 1365, 1184, 1009, 21695, 22021, 2966, 14234, 1009, 1968, 5624, 29261, 1083, 9902, 1561, 1159, 2573, 1009, 14234, 7492, 1288, 12186, 1009, 2666, 1009, 1062, 1154, 1231, 1667, 4567, 1009, 4855, 1026, 2683, 2586, 1664, 1132, 3398, 4731, 1060, 1083, 9902, 13326, 1044, 13806, 2127, 1009, 7325, 6785, 27139, 1294, 4181, 1422, 22275, 15377, 1166, 1072, 17042, 1138, 2161, 1298, 4537, 1495, 1044, 3225, 1009, 6514, 8401, 3743, 4550, 5986, 1026, 3453, 1060, 2612, 1005, 8913, 1493, 1184, 3229, 1009, 19478, 1005, 12110, 1009, 15383, 7284, 1059, 8197, 1327, 1132, 16350, 16877, 1918, 1206, 12181, 1068, 1083, 61, 1021, 1054, 9195, 6391, 13719, 1162, 1061, 1870, 12413, 2653, 13806, 8042, 1043, 1006, 3595, 1049, 4819, 20, 1766, 3140, 1009, 1083, 61, 1021, 1106, 21344, 1318, 1327, 1493, 8124, 1365, 1132, 4731, 30845, 1063, 2451, 1225, 1094, 12186, 4750, 1060, 6610, 1009, 3945, 1009, 1062, 1154, 1231, 1667, 3423, 2668, 1160, 1837, 19768, 7492, 1009, 6534, 1043, 3453, 2733, 1054, 5203, 12515, 1072, 6220, 24578, 1006, 3005, 1124, 6444, 1060, 1083, 61, 1021, 22197, 1327, 12499, 1005, 1289, 12316, 7791, 1058, 1026, 1235, 11717, 1195, 15335, 6565, 7550, 4659, 1072, 1083, 9902, 1005, 1663, 1094, 13429, 6594, 1136, 2339, 19246, 1026, 2859, 20, 3713, 1298, 13699, 1224, 2612, 2301, 1235, 6455, 18, 2285, 1009, 8079, 1206, 2612, 1009, 7271, 16406, 1138, 2788, 1318, 13320, 1026, 4465, 1049, 2161, 1009, 13720, 1068, 1124, 14234, 6594, 1136, 12316, 1603, 1299, 21751, 1094, 13429, 1043, 1356, 2444, 1487, 22021, 1299, 1298, 5319, 1456, 15383, 1054, 1779, 2541, 7089, 18, 8769, 1009, 18508, 3770, 1826, 20235, 1114, 13429, 20750, 1533, 19584, 10539, 1009, 14234, 1083, 9902, 10067, 1044, 2380, 1009, 13806, 23838, 1100, 10892, 10232, 26134, 1005, 1044, 3609, 11016, 1009, 21940, 1063, 13734, 3633, 1325, 5321, 1114, 8626, 14232, 4205, 4535, 626, 1114, 3922, 2751, 1049, 2788, 3092, 1060, 2573, 1009, 7212, 1728, 3713, 1298, 2504, 4882, 19578, 1054, 8255, 4002, 1005, 14203, 20, 4733, 1006, 7442, 1005, 9478, 18, 1487, 6435, 2296, 1245, 1010, 3775, 7264, 8003, 1114, 2612, 1049, 3142, 1159, 1080, 1550, 9039, 1972, 7212, 1930, 1299, 3135, 22660, 1054, 2987, 1043, 1026, 9536, 89, 1009, 3646, 23, 1206, 4260, 5721, 1255, 12515, 1054, 1083, 61, 1021, 1005, 15006, 75, 1009, 24763, 26486, 2301, 1132, 1184, 19459, 31677, 1009, 11717, 1083, 61, 1021, 1048, 6588, 1027, 1006, 1299, 10048, 22828, 18282, 1054, 1569, 9666, 20, 1063, 2573, 1009, 14234, 1083, 9902, 8944, 1048, 1132, 1249, 6469, 6762, 5116, 1872, 4270, 4535, 1068, 1026, 2788, 15, 4444, 20899, 3600, 1076, 13994, 1006, 1456, 4731, 20, 1972, 1977, 1930, 1235, 2751, 3435, 1054, 1094, 3780, 1049, 5357, 1213, 13595, 2373, 23, 9902, 626, 15437, 71, 1068, 1044, 6724, 1048, 3134, 1026, 20938, 2733, 1479, 1009, 3062, 1096, 4445, 4659, 1072, 17042, 5153, 18, 1837, 1094, 1345, 71, 14232, 4991, 1024, 1026, 2788, 626, 1114, 8790, 1126, 1048, 1325, 4725, 1072, 7632, 4260, 5053, 9780, 9641, 5420, 1044, 5646, 1048, 1299, 1298, 5047, 1213, 1235, 9740, 1068, 12742, 1026, 2788, 1005, 2071, 1068, 4659, 20, 4714, 10069, 1118, 13806, 1118, 17917, 25690, 1005, 1026, 3609, 1837, 1493, 1557, 1533, 7628, 1016, 1124, 7707, 1049, 4168, 11016, 1693, 1178, 2504, 1312, 19578, 1049, 13540, 1083, 61, 8376, 1138, 13806, 1009, 7325, 6785, 27139, 1096, 19387, 1069, 1054, 1094, 2612, 2127, 1005, 1976, 1178, 7212, 1069, 1996, 1048, 1026, 3453, 4172, 1178, 6604, 9780, 1972, 3005, 1299, 3135, 1663, 14234, 4283, 5618, 1206, 1054, 1557, 2733, 1054, 9297, 1043, 10232, 26134, 1365, 5843, 22, 1005, 13270, 20, 11149, 1791, 4267, 1009, 4540, 1358, 7174, 1044, 1096, 1044, 2326, 1048, 1096, 19592, 1069, 1114, 5643, 20515, 1138, 2277, 1096, 1044, 4941, 1043, 1044, 2326, 1009, 13911, 15323, 3283, 12980, 21422, 1324, 1005, 1235, 11717, 2177, 1009, 27432, 8863, 1049, 2161, 3225, 1114, 29277, 1060, 1287, 5304, 1138, 2490, 1009, 3794, 31677, 16877, 1918, 1096, 5560, 5372, 2784, 1305, 1006, 4716, 1009, 9069, 16089, 1206, 5684, 1009, 6083, 1030, 1171, 7106, 1072, 17042, 1, 31978, 1006, 2348, 1323, 52, 1342, 7, 1006, 2348, 1025, 1524, 22060, 1317, 79, 45, 71, 1715, 71, 6095, 1048, 1317, 10277, 1317, 53, 1005, 6722, 56, 1089, 1600, 56, 71, 1305, 19881, 7, 1006, 1295, 31370, 1118, 1048, 51, 24155, 1006, 1050, 47, 1196, 3226, 71, 1295, 31370, 1048, 1323, 1011, 16739, 1437, 75, 1853, 1048, 6082, 3226, 89, 53, 91, 1006, 1008, 1262, 53, 71, 1184, 1015, 22060, 1410, 1196, 1049, 4079, 53, 1118, 1261, 1094, 1025, 1524, 22060, 12717, 1011, 53, 1263, 12931, 7, 1160, 1710, 40, 1018, 1011, 53, 1263, 27018, 53, 11274, 1054, 1710, 40, 1014, 1048, 1395, 27018, 53, 1005, 1026, 1048, 31978, 1068, 4982, 1715, 1, 14530, 1006, 2071, 9983, 1068, 3684, 2997, 1006, 1853, 3513, 1054, 2930, 17042, 4116, 5711, 1006, 7682, 1026, 2930, 13540, 21113, 1043, 1006, 3028, 7461, 1009, 7547, 11393, 1, 13955, 18666, 1026, 1235, 3489, 1009, 5758, 1044, 3373, 7104, 2340, 1616, 15282, 10495, 1048, 1299, 3135, 9280, 7297, 4230, 2373, 12841, 7221, 626, 1026, 4431, 1357, 11480, 32, 1006, 2068, 1071, 2510, 7989, 9783, 1422, 21442, 6299, 1009, 6815, 15, 2536, 1235, 28278, 18630, 7347, 1068, 1044, 3489, 15940, 14313, 6097, 1157, 1124, 1422, 5314, 32, 9822, 5295, 1041, 5160, 29067, 27196, 5879, 15, 1833, 3004, 3230, 1977, 1508, 1006, 5987, 1068, 5224, 1048, 4749, 1040, 4431, 1068, 2116, 3144, 11014, 2700, 1009, 7896, 4803, 3291, 1571, 2808, 1044, 28278, 18630, 1184, 20058, 1063, 1944, 2218, 2094, 3230, 3739, 2602, 21884, 1213, 4431, 6023, 1533, 7461, 1049, 4431, 1114, 13664, 1096 ]

[ 4405, 1049, 2894, 14358, 20035, 1071, 375, 386, 389, 372, 390, 377, 380, 379, 384, 1349, 1668, 2277, 4367, 1318, 20495, 1006, 14159, 9042, 1009, 7122, 1009, 7910, 1100, 1043, 1026, 3489, 1009, 11853, 14319, 1365, 23491, 3406, 4406, 1005, 1006, 18971, 1049, 1373, 1471, 1054, 21922, 3406, 25, 3006, 10662, 1026, 19984, 2224, 26, 1060, 9015, 13092, 1009, 19798, 29190, 9094, 1006, 6685, 1009, 9403, 1114, 4630, 31794, 1072, 2268, 3048, 1463, 6283, 675, 8364, 1054, 21418, 1005, 3048, 1463, 1009, 21819, 1596, 15956, 8082, 1060, 4482, 26470, 11096, 2378, 22053, 7963, 13175, 11583, 7026, 1049, 7822, 4826, 7610, 1349, 1596, 19864, 1124, 4496, 8823, 1049, 2277, 4367, 13964, 1022, 1051, 1029, 1009, 3090, 1060, 5337, 3267, 2083, 1063, 18971, 1187, 3974, 1005, 9694, 3861, 1573, 1054, 5661, 1006, 14159, 9042, 7223, 1043, 2068, 1114, 6477, 3225, 1060, 4726, 1070, 1990, 1271, 30115, 24570, 9070, 1005, 1060, 15204, 1009, 1664, 1132, 6194, 20246, 1006, 4336, 10206, 1187, 8326, 1009, 2935, 33, 1006, 18971, 1060, 5337, 3743, 79, 6288, 1196, 1060, 4630, 13092, 1005, 1026, 11064, 1049, 3756, 1009, 2935, 28485, 1159, 1026, 3872, 3756, 1009, 15103, 1043, 1006, 11174, 1009, 2693, 1006, 2779, 2116, 3013, 1049, 1908, 1054, 8868, 1888, 10138, 1005, 5925, 2426, 1060, 4263, 28485, 1276, 1535, 3993, 1027, 1060, 22321, 6085, 1009, 2693, 1006, 5337, 3267, 1060, 31014, 1322, 1006, 2068, 6754, 1890, 1026, 1831, 4367, 13964, 1022, 1051, 1029, 1005, 9970, 1026, 3439, 1009, 1044, 6518, 4758, 1060, 5660, 1048, 2817, 1132, 8326, 1009, 2935, 1071, 1917, 4916, 24882, 1621, 2858, 4465, 1184, 6518, 1049, 15118, 1187, 6709, 1005, 24570, 4901, 2170, 1213, 1592, 4248, 1094, 12460, 3188, 1525, 1054, 2693, 1006, 27729, 1005, 10022, 2229, 1102, 1114, 31014, 1276, 10329, 5770, 1271, 9423, 17147, 1005, 5629, 1060, 17182, 1049, 1109, 2629, 22510, 1043, 2068, 1054, 1094, 16399, 1365, 1006, 3161, 2116, 3013, 1005, 1026, 3526, 1018, 1021, 1458, 1068, 1006, 18971, 1852, 1187, 3974, 3861, 1573, 1005, 1271, 9694, 1054, 2357, 1276, 13271, 23458, 1060, 4008, 1009, 5978, 1049, 1908, 1658, 8135, 1009, 2303, 1043, 1132, 3770, 1049, 1125, 6292, 1100, 1195, 16134, 1006, 20369, 3793, 4080, 1026, 2277, 4367, 13964, 1022, 1051, 1029, 1009, 3090, 1060, 5337, 3267, 1060, 31014, 1406, 1043, 16220, 1009, 13164, 1068, 1026, 3090, 1060, 5337, 3267, 1060, 31014, 18, 2966, 2083, 1011, 1174, 1170, 1009, 3603, 1009, 7423, 1009, 16545, 29909, 1009, 1033, 1829, 1018, 1068, 1132, 3145, 4267, 1009, 5407, 1276, 8235, 1009, 3861, 29178, 1072, 2161, 1009, 1123, 19136, 2523, 2394, 26, 6616, 20, 4932, 6022, 1009, 3310, 5463, 1717, 23955, 27, 6616, 1294, 4181, 3251, 1646, 1276, 1026, 7423, 1009, 3235, 3606, 1005, 10789, 6397, 1043, 8687, 1312, 1043, 1044, 2161, 3225, 1009, 2523, 24, 6616, 1009, 2296, 1245, 1554, 1717, 1307, 2414, 28, 6616, 1009, 2296, 1245, 1554, 1072, 1831, 4367, 1009, 3251, 1646, 1276, 16127, 1068, 1006, 8087, 1009, 5283, 1009, 22321, 6085, 1060, 5337, 3267, 1005, 1009, 4581, 1276, 1490, 1161, 1009, 6894, 1271, 5298, 1949, 2897, 20350, 1006, 4173, 1009, 3606, 13772, 1009, 3790, 1068, 1006, 14786, 2983, 1463, 5852, 4352, 1102, 1060, 31014, 6070, 16636, 27645, 4588, 13406, 1005, 13625, 1672, 1106, 11450, 1997, 1401, 4358, 8609, 8844, 13171, 1049, 25462, 6267, 27207, 25462, 6267, 9352, 1005, 11944, 5960, 15, 10047, 3435, 1187, 1791, 4181, 7072, 13964, 1022, 1051, 1102, 2083, 1063, 2935, 1009, 12357, 3475, 1009, 1422, 1068, 1578, 2744, 1009, 10338, 3273, 1365, 21264, 1005, 14393, 1276, 1063, 2935, 1009, 19317, 9793, 1079, 1009, 3886, 1068, 17939, 2744, 1009, 10338, 3273, 1072, 1592, 3041, 1276, 1063, 31565, 1070, 1990, 3475, 1009, 1101, 11, 1054, 7466, 2414, 1068, 1675, 14441, 1054, 23491, 5148, 21731, 1006, 11530, 1726, 22515, 89, 1060, 6074, 3578, 12126, 1006, 31014, 1566, 1516, 1006, 1307, 0, 1712, 12924, 5178, 1113, 25, 0, 4367, 13964, 1022, 1051, 1029, 1967, 5963, 3406, 26, 4681, 7177, 1307, 0, 4367, 13964, 1022, 1051, 1029, 3090, 1060, 5337, 3267, 1060, 31014, 1967, 4943, 1175, 2879, 4681, 5687, 1463, 4034, 1054, 1048, 1006, 3279, 3578, 27378, 14570, 2845, 20, 2034, 1049, 7854, 1068, 1006, 5978, 6011, 1009, 1178, 4910, 1312, 1004, 10649, 2682, 32, 1054, 16718, 2821, 2241, 1044, 5512, 1049, 9112, 1049, 18529, 1704, 7051, 2751, 10602, 4180, 1009, 3781, 1160, 1836, 1294, 16220, 28756, 16230, 1309, 1114, 21940, 1063, 17986, 1195, 1072, 4465, 1060, 2935, 1009, 1006, 1872, 2427, 2327, 1005, 1009, 3596, 13057, 24657, 20177, 1005, 1160, 2425, 1209, 1010, 1005, 6486, 1009, 1760, 3320, 5845, 1026, 4367, 13964, 1022, 1051, 1672, 1596, 16319, 5567, 2385, 1016, 1068, 6537, 1006, 5660, 14367, 1005, 1006, 26639, 1031, 2983, 1060, 5337, 11813, 1068, 25590, 1094, 7343, 1990, 10854, 3017, 1005, 1495, 1592, 1124, 6316, 14495, 1009, 6957, 3033, 1006, 2935, 1596, 1798, 5010, 1482, 2125, 1646, 25080, 2879, 11913, 1006, 2935, 12814, 9670, 8401, 2161, 3867, 1726, 13164, 5159, 3273, 3702, 1160, 6583, 2281, 3547, 1580, 25058, 11188, 3020, 1913, 1077, 2464, 1986, 1026, 24613, 1009, 19048, 1009, 31897, 1026, 2738, 1060, 3781, 1114, 5253, 1516, 1657, 1094, 4380, 1009, 4248, 1006, 16508, 1072, 1307, 0, 4367, 13964, 1022, 1051, 1029, 1195, 15674, 9803, 1679, 21863, 1049, 9885, 5051, 12444, 6038, 1092, 3424, 1482, 30488, 1596, 13557, 1132, 1424, 1398, 1024, 3259, 1049, 18145, 1068, 1006, 5660, 6739, 1081, 13881, 1961, 27459, 16446, 1887, 1005, 3649, 20849, 20, 1138, 9112, 1195, 12071, 2270, 1603, 1072, 1831, 1901, 1049, 4367, 13964, 1022, 1051, 1029, 1124, 11189, 1043, 5978, 26503, 15546, 29, 8401, 2276, 1054, 14393, 9686, 1006, 31478, 28, 10390, 8384, 1054, 20540, 3406, 25, 2534, 1006, 2935, 1294, 21863, 1049, 9885, 5051, 12444, 6038, 7613, 12814, 1094, 1472, 1005, 8486, 10357, 2443, 7089, 1565, 11341, 1072, 2268, 1006, 2935, 1054, 2700, 1009, 2653, 4267, 1009, 10359, 5051, 1836, 1657, 1847, 5433, 1140, 2286, 1083, 1009, 3042, 1009, 30488, 1094, 2360, 3940, 2373, 11603, 1026, 3159, 5051, 17928, 626, 1195, 12524, 3567, 1972, 22363, 3406, 25, 2534, 1026, 2285, 1049, 7783, 18629, 1184, 1048, 12262, 1792, 2170, 1054, 2992, 1009, 30338, 1026, 22089, 1009, 2252, 1124, 15607, 23383, 2284, 20467, 1006, 6936, 24, 2744, 1009, 9913, 25773, 1449, 2447, 2645, 1139, 9517, 1005, 3826, 15, 1596, 1598, 5010, 6836, 1060, 4701, 1068, 1026, 18456, 2784, 1026, 2285, 1009, 6709, 1005, 18635, 1114, 5337, 3267, 12814, 1009, 12540, 26, 2744, 1054, 21264, 1068, 26072, 24, 2744, 1054, 2879, 3211, 1138, 23458, 1049, 4957, 17141, 6895, 20, 14276, 1213, 3124, 1009, 1048, 1006, 4946, 1009, 1779, 1646, 1195, 8989, 28452, 1054, 1664, 1132, 23822, 1026, 21719, 1463, 13654, 12814, 15316, 20, 1766, 5364, 1009, 23379, 1054, 13654, 1005, 1700, 29187, 1009, 3780, 1327, 10035, 2368, 7425, 4685, 1195, 5447, 1044, 3872, 2446, 1009, 7272, 1009, 4843, 20058, 2800, 3435, 1271, 22908, 1234, 18522, 1060, 5337, 1054, 21264, 3406, 26, 2041, 1044, 13154, 4957, 11747, 1195, 5447, 1072, 6402, 10328, 21628, 1596, 1858, 1054, 4188, 1006, 1094, 23239, 11747, 1113, 26, 0, 4367, 13964, 1022, 1051, 1029, 1967, 6259, 3406, 2704, 15, 3705, 5512, 4367, 13964, 1022, 1051, 1029, 19361, 1006, 22321, 1005, 1026, 3090, 10293, 1060, 31014, 1986, 1006, 6074, 3578, 19926, 1063, 2751, 8161, 9482, 1005, 3568, 1049, 4367, 1009, 3251, 1646, 1195, 6356, 1140, 1118, 7802, 1809, 25363, 1054, 1844, 1009, 3403, 1009, 21253, 32, 1150, 3109, 71, 10577, 1124, 5852, 29746, 1049, 6402, 22255, 1026, 3319, 7962, 25283, 1060, 5660, 1005, 1060, 11239, 23481, 12292, 3466, 23612, 3555, 12514, 1679, 7072, 1068, 1044, 3041, 1184, 1920, 6505, 1026, 6387, 9606, 12228, 1044, 2017, 28352, 13154, 1114, 5337, 11813, 1048, 1294, 24155, 1006, 5741, 1009, 24279, 1026, 3319, 1060, 3028, 5660, 18, 1118, 3018, 2125, 2624, 1054, 8198, 1043, 1026, 7962, 25283, 3319, 20, 12026, 1508, 3871, 1048, 3028, 5660, 4172, 7737, 17354, 1495, 3886, 2744, 1009, 12845, 1009, 6102, 6179, 1093, 1126, 1495, 5251, 2744, 1009, 12845, 1009, 1006, 4452, 1495, 6514, 2744, 1009, 12845, 1009, 19317, 1005, 1495, 5251, 2744, 1009, 12845, 1009, 10236, 1108, 1667, 20037, 1288, 2237, 6758, 15907, 8316, 1048, 3028, 29354, 1199, 8285, 2728, 1236, 1717, 7636, 14508, 20, 3782, 24089, 18, 6119, 18, 2125, 3398, 7072, 1009, 3251, 2864, 1058, 1160, 10922, 2605, 1989, 2011, 1298, 1178, 3330, 1005, 10894, 19641, 20, 1150, 1110, 17264, 18095, 1809, 1029, 8376, 14942, 3393, 1114, 6127, 7962, 1731, 8431, 1187, 15525, 1049, 15799, 11292, 1009, 1809, 25363, 1114, 1641, 1009, 14561, 1054, 1844, 1009, 3403, 1009, 21253, 3133, 31014, 3068, 4415, 2284, 2281, 21438, 1140, 1357, 23071, 10771, 2745, 1844, 3218, 2621, 30115, 4726, 2897, 1596, 20427, 1312, 1005, 28783, 1021, 3273, 1043, 1006, 5943, 1009, 2523, 3162, 2621, 31090, 2106, 1422, 3537, 2621, 19417, 1041, 1019, 6657, 1779, 2744, 1009, 3815, 1229, 2128, 2744, 1009, 1086, 1599, 1158, 2744, 1009, 1118, 17343, 3734, 2744, 1009, 1026, 1267, 3035, 33, 24608, 1009, 2220, 1026, 10359, 1009, 3861, 1195, 25752, 1054, 1307, 26507, 23714, 1005, 23714, 33, 1675, 2744, 1009, 25209, 4261, 2966, 1422, 16112, 10637, 2565, 1054, 1779, 3211, 5861, 28, 9388, 1016, 1005, 6013, 29, 1839, 4761, 1071, 3949, 11, 3050, 1394, 29517, 15, 1596, 5263, 29982, 6968, 2971, 2744, 1009, 16757, 1602, 1166, 33, 2916, 1009, 21087, 1187, 31075, 1060, 28341, 1596, 5263, 4570, 33, 9094, 9160, 27, 2744, 1009, 7114, 3833, 13015, 1184, 1675, 2744, 1009, 7286, 2255, 1309, 6119, 1158, 2744, 1213, 2220, 16109, 2286, 24751, 1006, 15669, 1005, 1006, 8948, 17444, 3586, 1054, 21087, 1187, 6299, 1009, 24053, 1006, 3894, 11196, 9564, 1068, 15870, 8401, 1026, 6102, 6179, 6362, 3727, 11, 1005, 1026, 12357, 1422, 7089, 33, 1006, 2935, 1009, 6648, 1195, 23681, 1049, 3319, 1009, 2879, 3211, 4567, 1060, 30803, 1006, 31014, 1195, 1006, 1184, 3547, 1236, 1357, 23071, 1063, 22321, 1195, 5225, 1236, 1118, 1094, 25722, 26863, 1009, 4786, 1009, 3733, 3121, 1213, 7663, 2285, 1009, 15291, 11471, 13093, 1114, 3781, 28929, 1158, 1005, 2595, 2744, 1565, 3423, 2668, 21253, 1195, 1026, 1901, 1184, 19091, 2271, 5614, 2081, 1005, 1006, 29126, 1195, 12647, 20, 1776, 1592, 4183, 11587, 31, 2744, 1009, 12845, 1009, 6102, 6179, 6362, 1005, 13932, 25, 2744, 1009, 12845, 1009, 12357, 1596, 2225, 3607, 2182, 2394, 30, 2744, 1009, 12845, 1009, 19317, 1005, 17259, 29, 2744, 1009, 12845, 1009, 12050, 1596, 12772, 8000, 22546, 1271, 11189, 1009, 3861, 1049, 5512, 4367, 1195, 20456, 1114, 12031, 9201, 1048, 1516, 2512, 1049, 3311, 1009, 4350, 19675, 1005, 11747, 1005, 1048, 2284, 2281, 1094, 1271, 3905, 1184, 21438, 1312, 1357, 3781, 11402, 1037, 1031, 1544, 18998, 3367, 2935, 11747, 1114, 31014, 9529, 1026, 3319, 3388, 1233, 3781, 1054, 19332, 1005, 1072, 1852, 1049, 5512, 23606, 1006, 2935, 11747, 12814, 1779, 13201, 1054, 8198, 1043, 1026, 3041, 3388, 1233, 3781, 1009, 2879, 3211, 5845, 1026, 3041, 1009, 3251, 2864, 1596, 25130, 1675, 2102, 3235, 6213, 2905, 1005, 19362, 19660, 1794, 1728, 675, 1138, 4758, 10293, 1195, 26678, 1054, 1807, 1751, 3121, 1213, 23496, 14358, 1060, 2935, 1049, 20383, 1233, 1543, 3277, 2983, 13977, 1060, 15103, 1233, 12420, 1271, 17741, 1060, 6644, 1005, 1060, 4639, 1005, 1213, 7534, 21315, 1009, 24455, 1005, 6709, 20, 1138, 24591, 1163, 47, 17988, 1021, 1054, 1224, 3780, 4064, 1233, 2511, 9743, 32, 5938, 1010, 4679, 1646, 1049, 5512, 4367, 1009, 3251, 2864, 1006, 5337, 11471, 4405, 17207, 2865, 10044, 2160, 1072, 3439, 1049, 3090, 5177, 1343, 8, 15226, 23806, 1009, 11204, 1005, 3894, 3705, 7423, 1009, 2935, 1009, 3195, 1009, 11204, 17524, 1114, 31014, 1054, 11436, 1516, 4662, 25, 2624, 1712, 1049, 1048, 1054, 2879, 3211, 675, 1482, 19714, 1006, 23981, 6451, 25924, 1589, 29973, 2624, 1184, 9368, 1049, 1048, 1054, 2879, 3211, 675, 1482, 2879, 2525, 1596, 12772, 11587, 28, 1910, 17311, 1009, 7392, 5425, 1054, 11436, 1175, 1675, 2471, 28, 1910, 3942, 4367, 1049, 2017, 4367, 13964, 1022, 1051, 1029, 1005, 1009, 20283, 1005, 3090, 1060, 21301, 1325, 30343, 1069, 1044, 2011, 23924, 1005, 1395, 1719, 2274, 1150, 1715, 1295, 7412, 4480, 1213, 2490, 22339, 1060, 3894, 1173, 23011, 1054, 10472, 1009, 3028, 29354, 1199, 1005, 1072, 4961, 1009, 2693, 1006, 12718, 675, 8226, 4509, 1367, 11907, 14440, 21253, 1565, 675, 1063, 2935, 1009, 12050, 1054, 16535, 1195, 1009, 22346, 26, 4994, 1910, 12845, 1005, 1054, 21795, 9529, 9460, 2744, 1009, 12845, 1113, 27, 0, 4367, 13964, 1022, 1051, 1029, 1967, 14392, 3406, 5003, 27917, 12035, 4367, 13964, 1022, 1051, 1029, 1195, 1044, 4367, 1009, 3090, 1060, 5337, 3267, 1060, 31014, 1986, 1026, 2822, 1060, 3279, 3578, 27378, 2622, 3336, 1138, 12035, 4367, 13964, 1022, 1051, 1029, 1009, 2303, 1043, 1124, 17634 ]

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

[ 4405, 1049, 2894, 14358, 20035, 1071, 375, 386, 389, 372, 390, 377, 380, 379, 384, 1349, 1668, 2277, 4367, 1318, 20495, 1006, 14159, 9042, 1009, 7122, 1009, 7910, 1100, 1043, 1026, 3489, 1009, 11853, 14319, 1365, 23491, 3406, 4406, 1005, 1006, 18971, 1049, 1373, 1471, 1054, 21922, 3406, 25, 3006, 10662, 1026, 19984, 2224, 26, 1060, 9015, 13092, 1009, 19798, 29190, 9094, 1006, 6685, 1009, 9403, 1114, 4630, 31794, 1072, 2268, 3048, 1463, 6283, 675, 8364, 1054, 21418, 1005, 3048, 1463, 1009, 21819, 1596, 15956, 8082, 1060, 4482, 26470, 11096, 2378, 22053, 7963, 13175, 11583, 7026, 1049, 7822, 4826, 7610, 1349, 1596, 19864, 1124, 4496, 8823, 1049, 2277, 4367, 13964, 1022, 1051, 1029, 1009, 3090, 1060, 5337, 3267, 2083, 1063, 18971, 1187, 3974, 1005, 9694, 3861, 1573, 1054, 5661, 1006, 14159, 9042, 7223, 1043, 2068, 1114, 6477, 3225, 1060, 4726, 1070, 1990, 1271, 30115, 24570, 9070, 1005, 1060, 15204, 1009, 1664, 1132, 6194, 20246, 1006, 4336, 10206, 1187, 8326, 1009, 2935, 33, 1006, 18971, 1060, 5337, 3743, 79, 6288, 1196, 1060, 4630, 13092, 1005, 1026, 11064, 1049, 3756, 1009, 2935, 28485, 1159, 1026, 3872, 3756, 1009, 15103, 1043, 1006, 11174, 1009, 2693, 1006, 2779, 2116, 3013, 1049, 1908, 1054, 8868, 1888, 10138, 1005, 5925, 2426, 1060, 4263, 28485, 1276, 1535, 3993, 1027, 1060, 22321, 6085, 1009, 2693, 1006, 5337, 3267, 1060, 31014, 1322, 1006, 2068, 6754, 1890, 1026, 1831, 4367, 13964, 1022, 1051, 1029, 1005, 9970, 1026, 3439, 1009, 1044, 6518, 4758, 1060, 5660, 1048, 2817, 1132, 8326, 1009, 2935, 1071, 1917, 4916, 24882, 1621, 2858, 4465, 1184, 6518, 1049, 15118, 1187, 6709, 1005, 24570, 4901, 2170, 1213, 1592, 4248, 1094, 12460, 3188, 1525, 1054, 2693, 1006, 27729, 1005, 10022, 2229, 1102, 1114, 31014, 1276, 10329, 5770, 1271, 9423, 17147, 1005, 5629, 1060, 17182, 1049, 1109, 2629, 22510, 1043, 2068, 1054, 1094, 16399, 1365, 1006, 3161, 2116, 3013, 1005, 1026, 3526, 1018, 1021, 1458, 1068, 1006, 18971, 1852, 1187, 3974, 3861, 1573, 1005, 1271, 9694, 1054, 2357, 1276, 13271, 23458, 1060, 4008, 1009, 5978, 1049, 1908, 1658, 8135, 1009, 2303, 1043, 1132, 3770, 1049, 1125, 6292, 1100, 1195, 16134, 1006, 20369, 3793, 4080, 1026, 2277, 4367, 13964, 1022, 1051, 1029, 1009, 3090, 1060, 5337, 3267, 1060, 31014, 1406, 1043, 16220, 1009, 13164, 1068, 1026, 3090, 1060, 5337, 3267, 1060, 31014, 18, 2966, 2083, 1011, 1174, 1170, 1009, 3603, 1009, 7423, 1009, 16545, 29909, 1009, 1033, 1829, 1018, 1068, 1132, 3145, 4267, 1009, 5407, 1276, 8235, 1009, 3861, 29178, 1072, 2161, 1009, 1123, 19136, 2523, 2394, 26, 6616, 20, 4932, 6022, 1009, 3310, 5463, 1717, 23955, 27, 6616, 1294, 4181, 3251, 1646, 1276, 1026, 7423, 1009, 3235, 3606, 1005, 10789, 6397, 1043, 8687, 1312, 1043, 1044, 2161, 3225, 1009, 2523, 24, 6616, 1009, 2296, 1245, 1554, 1717, 1307, 2414, 28, 6616, 1009, 2296, 1245, 1554, 1072, 1831, 4367, 1009, 3251, 1646, 1276, 16127, 1068, 1006, 8087, 1009, 5283, 1009, 22321, 6085, 1060, 5337, 3267, 1005, 1009, 4581, 1276, 1490, 1161, 1009, 6894, 1271, 5298, 1949, 2897, 20350, 1006, 4173, 1009, 3606, 13772, 1009, 3790, 1068, 1006, 14786, 2983, 1463, 5852, 4352, 1102, 1060, 31014, 6070, 16636, 27645, 4588, 13406, 1005, 13625, 1672, 1106, 11450, 1997, 1401, 4358, 8609, 8844, 13171, 1049, 25462, 6267, 27207, 25462, 6267, 9352, 1005, 11944, 5960, 15, 10047, 3435, 1187, 1791, 4181, 7072, 13964, 1022, 1051, 1102, 2083, 1063, 2935, 1009, 12357, 3475, 1009, 1422, 1068, 1578, 2744, 1009, 10338, 3273, 1365, 21264, 1005, 14393, 1276, 1063, 2935, 1009, 19317, 9793, 1079, 1009, 3886, 1068, 17939, 2744, 1009, 10338, 3273, 1072, 1592, 3041, 1276, 1063, 31565, 1070, 1990, 3475, 1009, 1101, 11, 1054, 7466, 2414, 1068, 1675, 14441, 1054, 23491, 5148, 21731, 1006, 11530, 1726, 22515, 89, 1060, 6074, 3578, 12126, 1006, 31014, 1566, 1516, 1006, 1307, 0, 1712, 12924, 5178, 1113, 25, 0, 4367, 13964, 1022, 1051, 1029, 1967, 5963, 3406, 26, 4681, 7177, 1307, 0, 4367, 13964, 1022, 1051, 1029, 3090, 1060, 5337, 3267, 1060, 31014, 1967, 4943, 1175, 2879, 4681, 5687, 1463, 4034, 1054, 1048, 1006, 3279, 3578, 27378, 14570, 2845, 20, 2034, 1049, 7854, 1068, 1006, 5978, 6011, 1009, 1178, 4910, 1312, 1004, 10649, 2682, 32, 1054, 16718, 2821, 2241, 1044, 5512, 1049, 9112, 1049, 18529, 1704, 7051, 2751, 10602, 4180, 1009, 3781, 1160, 1836, 1294, 16220, 28756, 16230, 1309, 1114, 21940, 1063, 17986, 1195, 1072, 4465, 1060, 2935, 1009, 1006, 1872, 2427, 2327, 1005, 1009, 3596, 13057, 24657, 20177, 1005, 1160, 2425, 1209, 1010, 1005, 6486, 1009, 1760, 3320, 5845, 1026, 4367, 13964, 1022, 1051, 1672, 1596, 16319, 5567, 2385, 1016, 1068, 6537, 1006, 5660, 14367, 1005, 1006, 26639, 1031, 2983, 1060, 5337, 11813, 1068, 25590, 1094, 7343, 1990, 10854, 3017, 1005, 1495, 1592, 1124, 6316, 14495, 1009, 6957, 3033, 1006, 2935, 1596, 1798, 5010, 1482, 2125, 1646, 25080, 2879, 11913, 1006, 2935, 12814, 9670, 8401, 2161, 3867, 1726, 13164, 5159, 3273, 3702, 1160, 6583, 2281, 3547, 1580, 25058, 11188, 3020, 1913, 1077, 2464, 1986, 1026, 24613, 1009, 19048, 1009, 31897, 1026, 2738, 1060, 3781, 1114, 5253, 1516, 1657, 1094, 4380, 1009, 4248, 1006, 16508, 1072, 1307, 0, 4367, 13964, 1022, 1051, 1029, 1195, 15674, 9803, 1679, 21863, 1049, 9885, 5051, 12444, 6038, 1092, 3424, 1482, 30488, 1596, 13557, 1132, 1424, 1398, 1024, 3259, 1049, 18145, 1068, 1006, 5660, 6739, 1081, 13881, 1961, 27459, 16446, 1887, 1005, 3649, 20849, 20, 1138, 9112, 1195, 12071, 2270, 1603, 1072, 1831, 1901, 1049, 4367, 13964, 1022, 1051, 1029, 1124, 11189, 1043, 5978, 26503, 15546, 29, 8401, 2276, 1054, 14393, 9686, 1006, 31478, 28, 10390, 8384, 1054, 20540, 3406, 25, 2534, 1006, 2935, 1294, 21863, 1049, 9885, 5051, 12444, 6038, 7613, 12814, 1094, 1472, 1005, 8486, 10357, 2443, 7089, 1565, 11341, 1072, 2268, 1006, 2935, 1054, 2700, 1009, 2653, 4267, 1009, 10359, 5051, 1836, 1657, 1847, 5433, 1140, 2286, 1083, 1009, 3042, 1009, 30488, 1094, 2360, 3940, 2373, 11603, 1026, 3159, 5051, 17928, 626, 1195, 12524, 3567, 1972, 22363, 3406, 25, 2534, 1026, 2285, 1049, 7783, 18629, 1184, 1048, 12262, 1792, 2170, 1054, 2992, 1009, 30338, 1026, 22089, 1009, 2252, 1124, 15607, 23383, 2284, 20467, 1006, 6936, 24, 2744, 1009, 9913, 25773, 1449, 2447, 2645, 1139, 9517, 1005, 3826, 15, 1596, 1598, 5010, 6836, 1060, 4701, 1068, 1026, 18456, 2784, 1026, 2285, 1009, 6709, 1005, 18635, 1114, 5337, 3267, 12814, 1009, 12540, 26, 2744, 1054, 21264, 1068, 26072, 24, 2744, 1054, 2879, 3211, 1138, 23458, 1049, 4957, 17141, 6895, 20, 14276, 1213, 3124, 1009, 1048, 1006, 4946, 1009, 1779, 1646, 1195, 8989, 28452, 1054, 1664, 1132, 23822, 1026, 21719, 1463, 13654, 12814, 15316, 20, 1766, 5364, 1009, 23379, 1054, 13654, 1005, 1700, 29187, 1009, 3780, 1327, 10035, 2368, 7425, 4685, 1195, 5447, 1044, 3872, 2446, 1009, 7272, 1009, 4843, 20058, 2800, 3435, 1271, 22908, 1234, 18522, 1060, 5337, 1054, 21264, 3406, 26, 2041, 1044, 13154, 4957, 11747, 1195, 5447, 1072, 6402, 10328, 21628, 1596, 1858, 1054, 4188, 1006, 1094, 23239, 11747, 1113, 26, 0, 4367, 13964, 1022, 1051, 1029, 1967, 6259, 3406, 2704, 15, 3705, 5512, 4367, 13964, 1022, 1051, 1029, 19361, 1006, 22321, 1005, 1026, 3090, 10293, 1060, 31014, 1986, 1006, 6074, 3578, 19926, 1063, 2751, 8161, 9482, 1005, 3568, 1049, 4367, 1009, 3251, 1646, 1195, 6356, 1140, 1118, 7802, 1809, 25363, 1054, 1844, 1009, 3403, 1009, 21253, 32, 1150, 3109, 71, 10577, 1124, 5852, 29746, 1049, 6402, 22255, 1026, 3319, 7962, 25283, 1060, 5660, 1005, 1060, 11239, 23481, 12292, 3466, 23612, 3555, 12514, 1679, 7072, 1068, 1044, 3041, 1184, 1920, 6505, 1026, 6387, 9606, 12228, 1044, 2017, 28352, 13154, 1114, 5337, 11813, 1048, 1294, 24155, 1006, 5741, 1009, 24279, 1026, 3319, 1060, 3028, 5660, 18, 1118, 3018, 2125, 2624, 1054, 8198, 1043, 1026, 7962, 25283, 3319, 20, 12026, 1508, 3871, 1048, 3028, 5660, 4172, 7737, 17354, 1495, 3886, 2744, 1009, 12845, 1009, 6102, 6179, 1093, 1126, 1495, 5251, 2744, 1009, 12845, 1009, 1006, 4452, 1495, 6514, 2744, 1009, 12845, 1009, 19317, 1005, 1495, 5251, 2744, 1009, 12845, 1009, 10236, 1108, 1667, 20037, 1288, 2237, 6758, 15907, 8316, 1048, 3028, 29354, 1199, 8285, 2728, 1236, 1717, 7636, 14508, 20, 3782, 24089, 18, 6119, 18, 2125, 3398, 7072, 1009, 3251, 2864, 1058, 1160, 10922, 2605, 1989, 2011, 1298, 1178, 3330, 1005, 10894, 19641, 20, 1150, 1110, 17264, 18095, 1809, 1029, 8376, 14942, 3393, 1114, 6127, 7962, 1731, 8431, 1187, 15525, 1049, 15799, 11292, 1009, 1809, 25363, 1114, 1641, 1009, 14561, 1054, 1844, 1009, 3403, 1009, 21253, 3133, 31014, 3068, 4415, 2284, 2281, 21438, 1140, 1357, 23071, 10771, 2745, 1844, 3218, 2621, 30115, 4726, 2897, 1596, 20427, 1312, 1005, 28783, 1021, 3273, 1043, 1006, 5943, 1009, 2523, 3162, 2621, 31090, 2106, 1422, 3537, 2621, 19417, 1041, 1019, 6657, 1779, 2744, 1009, 3815, 1229, 2128, 2744, 1009, 1086, 1599, 1158, 2744, 1009, 1118, 17343, 3734, 2744, 1009, 1026, 1267, 3035, 33, 24608, 1009, 2220, 1026, 10359, 1009, 3861, 1195, 25752, 1054, 1307, 26507, 23714, 1005, 23714, 33, 1675, 2744, 1009, 25209, 4261, 2966, 1422, 16112, 10637, 2565, 1054, 1779, 3211, 5861, 28, 9388, 1016, 1005, 6013, 29, 1839, 4761, 1071, 3949, 11, 3050, 1394, 29517, 15, 1596, 5263, 29982, 6968, 2971, 2744, 1009, 16757, 1602, 1166, 33, 2916, 1009, 21087, 1187, 31075, 1060, 28341, 1596, 5263, 4570, 33, 9094, 9160, 27, 2744, 1009, 7114, 3833, 13015, 1184, 1675, 2744, 1009, 7286, 2255, 1309, 6119, 1158, 2744, 1213, 2220, 16109, 2286, 24751, 1006, 15669, 1005, 1006, 8948, 17444, 3586, 1054, 21087, 1187, 6299, 1009, 24053, 1006, 3894, 11196, 9564, 1068, 15870, 8401, 1026, 6102, 6179, 6362, 3727, 11, 1005, 1026, 12357, 1422, 7089, 33, 1006, 2935, 1009, 6648, 1195, 23681, 1049, 3319, 1009, 2879, 3211, 4567, 1060, 30803, 1006, 31014, 1195, 1006, 1184, 3547, 1236, 1357, 23071, 1063, 22321, 1195, 5225, 1236, 1118, 1094, 25722, 26863, 1009, 4786, 1009, 3733, 3121, 1213, 7663, 2285, 1009, 15291, 11471, 13093, 1114, 3781, 28929, 1158, 1005, 2595, 2744, 1565, 3423, 2668, 21253, 1195, 1026, 1901, 1184, 19091, 2271, 5614, 2081, 1005, 1006, 29126, 1195, 12647, 20, 1776, 1592, 4183, 11587, 31, 2744, 1009, 12845, 1009, 6102, 6179, 6362, 1005, 13932, 25, 2744, 1009, 12845, 1009, 12357, 1596, 2225, 3607, 2182, 2394, 30, 2744, 1009, 12845, 1009, 19317, 1005, 17259, 29, 2744, 1009, 12845, 1009, 12050, 1596, 12772, 8000, 22546, 1271, 11189, 1009, 3861, 1049, 5512, 4367, 1195, 20456, 1114, 12031, 9201, 1048, 1516, 2512, 1049, 3311, 1009, 4350, 19675, 1005, 11747, 1005, 1048, 2284, 2281, 1094, 1271, 3905, 1184, 21438, 1312, 1357, 3781, 11402, 1037, 1031, 1544, 18998, 3367, 2935, 11747, 1114, 31014, 9529, 1026, 3319, 3388, 1233, 3781, 1054, 19332, 1005, 1072, 1852, 1049, 5512, 23606, 1006, 2935, 11747, 12814, 1779, 13201, 1054, 8198, 1043, 1026, 3041, 3388, 1233, 3781, 1009, 2879, 3211, 5845, 1026, 3041, 1009, 3251, 2864, 1596, 25130, 1675, 2102, 3235, 6213, 2905, 1005, 19362, 19660, 1794, 1728, 675, 1138, 4758, 10293, 1195, 26678, 1054, 1807, 1751, 3121, 1213, 23496, 14358, 1060, 2935, 1049, 20383, 1233, 1543, 3277, 2983, 13977, 1060, 15103, 1233, 12420, 1271, 17741, 1060, 6644, 1005, 1060, 4639, 1005, 1213, 7534, 21315, 1009, 24455, 1005, 6709, 20, 1138, 24591, 1163, 47, 17988, 1021, 1054, 1224, 3780, 4064, 1233, 2511, 9743, 32, 5938, 1010, 4679, 1646, 1049, 5512, 4367, 1009, 3251, 2864, 1006, 5337, 11471, 4405, 17207, 2865, 10044, 2160, 1072, 3439, 1049, 3090, 5177, 1343, 8, 15226, 23806, 1009, 11204, 1005, 3894, 3705, 7423, 1009, 2935, 1009, 3195, 1009, 11204, 17524, 1114, 31014, 1054, 11436, 1516, 4662, 25, 2624, 1712, 1049, 1048, 1054, 2879, 3211, 675, 1482, 19714, 1006, 23981, 6451, 25924, 1589, 29973, 2624, 1184, 9368, 1049, 1048, 1054, 2879, 3211, 675, 1482, 2879, 2525, 1596, 12772, 11587, 28, 1910, 17311, 1009, 7392, 5425, 1054, 11436, 1175, 1675, 2471, 28, 1910, 3942, 4367, 1049, 2017, 4367, 13964, 1022, 1051, 1029, 1005, 1009, 20283, 1005, 3090, 1060, 21301, 1325, 30343, 1069, 1044, 2011, 23924, 1005, 1395, 1719, 2274, 1150, 1715, 1295, 7412, 4480, 1213, 2490, 22339, 1060, 3894, 1173, 23011, 1054, 10472, 1009, 3028, 29354, 1199, 1005, 1072, 4961, 1009, 2693, 1006, 12718, 675, 8226, 4509, 1367, 11907, 14440, 21253, 1565, 675, 1063, 2935, 1009, 12050, 1054, 16535, 1195, 1009, 22346, 26, 4994, 1910, 12845, 1005, 1054, 21795, 9529, 9460, 2744, 1009, 12845, 1113, 27, 0, 4367, 13964, 1022, 1051, 1029, 1967, 14392, 3406, 5003, 27917, 12035, 4367, 13964, 1022, 1051, 1029, 1195, 1044, 4367, 1009, 3090, 1060, 5337, 3267, 1060, 31014, 1986, 1026, 2822, 1060, 3279, 3578, 27378, 2622, 3336, 1138, 12035, 4367, 13964, 1022, 1051, 1029, 1009, 2303, 1043, 1124, 17634 ]

[ 2191, 1009, 25513, 4435, 2585, 6880, 1068, 1006, 5127, 2528, 1043, 2250, 8421, 3259, 1068, 1026, 21016, 1049, 4577, 33, 53, 91, 1118, 2191, 1060, 11765, 1009, 9290, 19, 9530, 1229, 1495, 1592, 1043, 1006, 4455, 1060, 22343, 1049, 19659, 1206, 1060, 9705, 1009, 8631, 3038, 1500, 1010, 6880, 1068, 8922, 11958, 3537, 1307, 1175, 6112, 1032, 1343, 1233, 3235, 1009, 30970, 1921, 1009, 27791, 2814, 12488, 1005, 3140, 1068, 21632, 2649, 26038, 52, 1813, 1149, 1009, 16504, 1068, 1026, 21016, 5473, 26051, 31435, 1271, 5629, 8317, 30927, 6499, 1174, 16004, 1124, 1429, 1758, 1009, 14466, 1544, 1009, 16430, 3195, 33, 73, 19525, 1009, 5283, 1009, 14020, 1271, 10529, 1233, 2413, 33, 4652, 1263, 1055, 1009, 2868, 1068, 1026, 9999, 1303, 1187, 3195, 1068, 1124, 14786, 1273, 1511, 11246, 7005, 1006, 2451, 1495, 1233, 1641, 1059, 24487, 26790, 4436, 39, 5462, 1142, 6077, 53, 22959, 45, 125, 52, 13889, 35, 1026, 14994, 3666, 7303, 1976, 1178, 31314, 1054, 1791, 3714, 1229, 1068, 1026, 2822, 1009, 1094, 13012, 9279, 1005, 11765, 1009, 2743, 1043, 9141, 19393, 1006, 3291, 32, 14994, 3666, 7303, 9577, 3350, 1319, 5558, 3666, 7303, 1160, 9577, 3350, 23333, 2023, 1142, 5558, 25811, 7303, 2656, 2778, 1046, 3350, 2366, 9279, 2868, 1009, 13012, 1009, 14994, 1298, 20581, 1026, 1057, 19979, 1167, 1041, 1303, 1049, 14994, 3666, 7303, 8482, 5558, 5443, 5709, 15, 1160, 9577, 3350, 32, 54, 8303, 2063, 1009, 24723, 1022, 2032, 1068, 1224, 16542, 2762, 1006, 27988, 1303, 1043, 3548, 33, 41, 19525, 1009, 2380, 1009, 2935, 1009, 31144, 2005, 3666, 24343, 1048, 1298, 1178, 4678, 3723, 1206, 1592, 6715, 1054, 4965, 1009, 2217, 31790, 1303, 1206, 25235, 1016, 2229, 1041, 15115, 2099, 5765, 1009, 7948, 2051, 1009, 14947, 18289, 6683, 1009, 1190, 71, 1009, 10588, 1005, 7147, 29517, 1318, 1068, 1026, 2743, 1009, 31144, 2005, 23333, 1999, 1142, 6077, 53, 21957, 3642, 2321, 9435, 1074, 12525, 1048, 1160, 1693, 18, 1054, 14496, 1702, 1126, 1178, 1057, 19979, 1167, 24710, 9361, 1048, 1240, 1014, 1135, 1054, 23412, 27850, 8351, 1273, 11458, 1888, 3759, 10940, 1206, 24657, 1861, 3983, 3064, 12525, 18289, 6683, 1009, 6048, 1009, 2926, 1071, 1932, 86, 1041, 2565, 11856, 2137, 4065, 8608, 3589, 8778, 90, 13300, 28954, 19761, 1021, 2012, 1005, 1734, 1565, 3985, 12525, 4408, 11263, 26519, 14917, 2308, 1142, 6077, 53, 6860, 2393, 30581, 1074, 12525, 9577, 7577, 1043, 19200, 2435, 6376, 6837, 18289, 6683, 1009, 14200, 1009, 21913, 1005, 22751, 5041, 19135, 33, 3985, 12525, 1009, 1460, 11211, 7121, 3368, 9877, 9918, 10497, 14947, 3634, 4305, 4618, 14617, 1005, 1693, 1178, 29013, 1166, 2271, 1048, 31674, 1006, 2380, 1009, 4618, 2127, 13131, 23333, 2567, 23522, 135, 22163, 2428, 6764, 6445, 25337, 59, 4824, 1062, 4812, 4414, 43, 1476, 1400, 1927, 1596, 9370, 1159, 4577, 1009, 1057, 2174, 5518, 1049, 14994, 1294, 17786, 1121, 26842, 1206, 1159, 4577, 1009, 1057, 2174, 5518, 1009, 15809, 17569, 1021, 5048, 1224, 7461, 1298, 1178, 1493, 12653, 1566, 1048, 1132, 14947, 1327, 3179, 1048, 5560, 1057, 19979, 1167, 1041, 2270, 44, 1014, 1209, 1005, 1419, 77, 2044, 1121, 1327, 5560, 1057, 19979, 1167, 8003, 1357, 1015, 4839, 17444, 33, 10408, 1005, 4577, 1009, 1155, 6713, 1461, 1693, 1178, 15374, 1154, 2502, 1005, 29013, 1166, 1114, 3486, 3649, 20519, 1159, 1871, 1009, 11778, 1006, 7461, 1009, 28623, 33, 7331, 5560, 9124, 3375, 2314, 1005, 12798, 1004, 0, 16947, 1175, 1057, 19979, 1167, 1041, 1303, 14917, 2639, 29695, 31590, 47, 4824, 31592, 2982, 2818, 23522, 135, 22163, 2428, 71, 10001, 1852, 1187, 14947, 13695, 3634, 1178, 14692, 1054, 5061, 19915, 25466, 1060, 1871, 13402, 1182, 17572, 1271, 7875, 33, 2174, 17572, 1049, 4249, 1060, 7875, 1043, 2384, 71, 23033, 2980, 33, 9776, 1120, 1112, 1009, 2380, 1009, 31325, 1009, 1413, 1017, 3645, 1213, 4249, 33, 2174, 17572, 1049, 2380, 1009, 31325, 1043, 1080, 6226, 33, 2174, 17572, 1009, 2220, 1026, 4249, 1060, 12406, 1005, 1060, 2384, 71, 23033, 2980, 1043, 9632, 20016, 1009, 1871, 1006, 7904, 1006, 2384, 71, 33, 9776, 1120, 1112, 1009, 2380, 1009, 4618, 1049, 1413, 1017, 3645, 1048, 2177, 4726, 1069, 1356, 2380, 1009, 31325, 1060, 12406, 33, 9776, 1120, 1112, 1009, 2380, 1009, 24924, 1009, 9242, 2093, 1577, 18289, 1077, 1060, 27665, 3131, 1049, 14994, 6977, 1206, 1305, 1057, 19979, 1167, 1041, 1303, 3377, 25, 3006, 1535, 3993, 1027, 12943, 5552, 5154, 1160, 1837, 9888, 3048, 6414, 2530, 32, 1241, 1492, 11335, 2855, 4, 56, 23601, 4211, 1248, 6694, 9108, 4406, 14976, 3990, 1308, 25, 3162, 7680, 39, 9703, 39, 1207, 4186, 2606, 39, 1082, 2982, 46, 2053, 42, 2164, 1082, 9020, 15523, 5071, 2431, 13846, 1009, 5829, 13475, 1637, 1060, 1083, 0, 15727, 1252, 6345, 1430, 5829, 1009, 1128, 1088, 1623, 23354, 1525, 1049, 21004, 21182, 1074, 10484, 1845, 90, 14697, 1118, 12078, 11644, 1479, 10305, 20897, 1005, 54, 1065, 8457, 5027, 5972, 1054, 10655, 17237, 1868, 3511, 57, 1036, 1038, 5701, 1005, 16989, 13617, 1034, 1685, 5604, 38, 83, 4589, 88, 80, 11987, 23380, 1, 10129, 13874, 1013, 5, 4476, 4407, 2486, 2565, 4965, 18787, 1759, 6613, 1094, 9394, 23285, 1048, 1757, 8340, 2328, 1271, 5025, 1048, 4088, 2643, 1006, 1919, 2652, 8965, 158, 1242, 28755, 1005, 12462, 3168, 2905, 20707, 1834, 1043, 1235, 21574, 1192, 1100, 27751, 4541, 14099, 1495, 4928, 3732, 1005, 22788, 27415, 5721, 3513, 4889, 1005, 14701, 3153, 3312, 2315, 1233, 1834, 10027, 28755, 1068, 3871, 1235, 3182, 1072, 11257, 1025, 1660, 1077, 10883, 9227, 2328, 1009, 1094, 2759, 13361, 27986, 3510, 1140, 4807, 1068, 1752, 2743, 3915, 12488, 3634, 5808, 8416, 11864, 1250, 1043, 1456, 21559, 2106, 4207, 1765, 1529, 2547, 2287, 1005, 7910, 9807, 16159, 16844, 11978, 20, 1063, 1871, 1159, 1224, 4214, 1096, 3675, 1236, 2309, 10829, 1298, 3871, 1026, 3189, 1049, 1235, 6262, 33, 2328, 1060, 4884, 1009, 6532, 1037, 1253, 19196, 1211, 5876, 3946, 4065, 3524, 7970, 1005, 27816, 1049, 10776, 1059, 14303, 26543, 62, 1283, 1313, 43, 9045, 22580, 7203, 2451, 3135, 1009, 1044, 2788, 2798, 4547, 7781, 20967, 19537, 10231, 1005, 11975, 3617, 4490, 4281, 12515, 1096, 6407, 1068, 23458, 1006, 1224, 4214, 1005, 10363, 1009, 1456, 3195, 1005, 23344, 7290, 2451, 6471, 1043, 1006, 4173, 1009, 7458, 1005, 5419, 89, 3544, 1005, 7943, 23138, 1005, 31631, 8718, 1068, 1048, 1026, 2743, 1852, 2374, 1044, 3189, 2875, 9886, 2759, 2237, 27137, 1068, 12952, 1044, 2743, 1049, 20533, 1213, 27546, 1142, 1473, 1508, 1224, 20605, 2935, 22788, 27415, 1049, 1235, 3366, 1721, 1024, 6146, 20663, 9914, 2247, 1009, 4137, 27135, 1916, 1, 13740, 1009, 3032, 28996, 3940, 1048, 2566, 5604, 1005, 1088, 1056, 19105, 1043, 2754, 12156, 1175, 3939, 10867, 10280, 1175, 4819, 1175, 14543, 4073, 4659, 1054, 5086, 2212, 3407, 8294, 2364, 1060, 4408, 1055, 1049, 2670, 11958, 3537, 80, 11095, 24064, 1726, 21881, 7157, 14010, 32, 29069, 80, 11095, 24064, 1726, 22291, 5963, 4073, 4659, 1054, 5086, 2212, 1006, 3940, 8294, 2364, 1060, 4408, 1055, 1049, 20582, 9881, 11967, 1631, 1009, 12206, 20, 1138, 3124, 1009, 1026, 6680, 1009, 2956, 1178, 24152, 9626, 1526, 1005, 1009, 1261, 10403, 1188, 5567, 1583, 6785, 1236, 1054, 16044, 7767, 26672, 1579, 13375, 1322, 1044, 2481, 1050, 2526, 14335, 1704, 2670, 1009, 3032, 9881, 11967, 1631, 1009, 12206, 1381, 9568, 1986, 1178, 28014, 1175, 4623, 11834, 1009, 16281, 3514, 1239, 1175, 24812, 80, 11095, 24064, 9057, 44, 54, 1605, 9271, 1998, 2947, 23331, 1068, 7213, 22775, 4087, 1009, 16910, 31017, 1014, 1629, 1406, 1043, 13799, 24135, 11166, 1206, 5946, 1455, 1189, 1629, 1005, 22793, 20, 5311, 6032, 27024, 1160, 1327, 7257, 2287, 1068, 1005, 1088, 1056, 19105, 1054, 3032, 29795, 1044, 9271, 4370, 1100, 7079, 1068, 1048, 1160, 4172, 1178, 3330, 1756, 1423, 3240, 2246, 17222, 23600, 1094, 12650, 1060, 17314, 20, 6126, 2220, 1044, 7931, 1114, 3940, 1068, 1048, 1006, 3271, 30693, 1006, 4497, 1054, 1094, 4087, 1493, 9080, 1406, 1973, 1704, 6483, 8964, 15413, 2645, 1218, 1188, 19554, 12217, 15, 30935, 1068, 7109, 11335, 3732, 1060, 3248, 3356, 2154, 15311, 1048, 1837, 1225, 1017, 1060, 8739, 1056, 2983, 1049, 6724, 1233, 1005, 1088, 1056, 19105, 8, 5735, 5002, 1049, 6387, 26176, 1009, 8643, 6612, 57, 4273, 6806, 1026, 6483, 7098, 1263, 24055, 21345, 1026, 1048, 2265, 1044, 23666, 1187, 1048, 19931, 18, 1005, 4979, 1048, 7349, 1005, 1088, 1056, 19105, 1096, 1094, 9348, 1068, 1664, 22957, 25900, 7843, 2315, 1048, 3592, 16866, 1160, 3634, 1178, 6081, 1009, 4768, 9512, 1327, 16866, 1493, 23432, 1009, 3997, 4508, 5048, 2013, 1044, 5054, 1009, 3568, 16200, 1493, 4370, 1100, 1048, 8981, 1201, 1582, 1009, 9456, 1005, 3997, 4508, 2565, 1160, 1096, 1094, 7401, 2987, 1009, 3484, 1841, 1206, 15893, 2656, 1294, 3449, 1048, 1006, 20292, 1005, 1006, 15109, 1271, 1783, 1009, 1589, 1178, 4768, 1037, 1140, 1406, 18218, 1006, 23545, 28485, 10653, 17187, 11661, 4263, 7512, 1325, 3822, 3721, 7869, 1043, 1006, 4380, 1060, 3248, 1860, 2682, 3356, 5330, 11609, 1009, 7059, 1048, 3230, 4319, 5262, 9610, 1048, 1006, 1807, 3364, 1060, 2779, 7512, 1096, 10775, 1406, 6066, 24572, 9269, 1044, 2417, 1009, 3186, 27241, 12945, 6321, 1044, 27779, 1717, 1006, 3940, 20, 4333, 1132, 2331, 1065, 5454, 1009, 4306, 7660, 1209, 23109, 1826, 2088, 9943, 1009, 1807, 5862, 20011, 1159, 15630, 17187, 2645, 17493, 15, 1005, 4243, 1868, 10463, 2663, 2812, 1102, 3377, 3026, 1132, 4965, 12951, 1596, 2203, 2585, 1026, 8123, 4055, 60, 2663, 3020, 1729, 2769, 1009, 29107, 1068, 1124, 7564, 1060, 9684, 15, 1318, 3765, 8616, 1915, 9086, 30116, 4966, 1048, 1160, 18252, 1094, 3484, 2725, 2682, 13466, 1629, 1068, 1006, 15426, 19872, 1187, 3997, 1009, 1664, 1005, 1271, 8406, 1009, 1752, 1044, 1054, 1852, 1060, 5297, 1160, 12474, 3048, 2161, 10172, 1132, 2625, 1652, 1912, 4261, 3997, 1005, 9200, 1054, 1465, 12013, 1048, 3634, 1178, 6890, 1402, 1005, 29731, 1166, 1406, 29378, 1026, 9295, 1704, 17050, 15513, 1060, 9738, 1711, 1491, 2523, 28, 7533, 1006, 7855, 20261, 1717, 1005, 1422, 12415, 8806, 621, 1096, 12374, 1159, 1044, 18687, 1233, 4408, 1055, 14335, 1533, 1088, 4142, 1046, 1657, 21959, 3356, 1188, 6266, 1139, 1778, 1096, 14296, 1118, 1044, 3467, 1009, 9436, 1309, 2306, 16857, 1006, 3597, 1048, 5510, 1233, 3248, 1479, 11424, 5593, 1044, 1033, 5415, 1183, 1066, 1206, 4848, 11598, 1044, 12270, 620, 1096, 1026, 3266, 22737, 1308, 4665, 18619, 2023, 15300, 17488, 91, 1078, 7796, 9733, 2391, 10280, 10867, 21, 3392, 10398, 9592, 1266, 14442, 19, 19979, 1589, 2427, 1089, 19, 1295, 5291, 1088, 4142, 71, 12267, 1088, 5817, 1034, 17203, 19, 3386, 1242, 19, 3109, 7646, 2223, 89, 5442, 1, 11288, 1810, 2695, 1076, 2873, 1103, 2646, 32, 21908, 4029, 1605, 18778, 3689, 150, 1026, 7970, 1009, 2125, 7268, 16514, 3994, 1233, 9716, 6033, 1600, 21153, 1124, 17741, 1009, 1675, 2525, 18968, 1005, 6617, 1049, 22281, 1128, 1199, 1590, 1637, 1009, 10761, 4753, 2645, 11478, 1937, 12541, 1049, 4819, 15, 3915, 25287, 18087, 1717, 14063, 1005, 2929, 166, 1024, 23408, 1482, 1675, 2414, 1717, 1026, 19630, 1005, 1006, 6974, 6429, 5949, 1505, 6781, 1054, 14727, 5615, 1060, 6974, 13092, 1005, 1026, 2478, 10976, 81, 19176, 31333, 4647, 5574, 1124, 9447, 1187, 5410, 2098, 1218, 15835, 2745, 5956, 10094, 1048, 10894, 1927, 8356, 1005, 1198, 1029, 3223, 1014, 1124, 17741, 1049, 15306, 1185, 1667, 15560, 1026, 1784, 1566, 19138, 1006, 3722, 1049, 21606, 2713, 47, 2428, 53, 20, 30210, 28440, 2745, 31737, 1471, 5943, 1009, 1557, 1005, 2997, 7065, 1068, 24984, 1098, 1167, 5282, 1010, 1558, 3890, 21504, 2032, 2875, 22535, 2125, 2864, 4311, 1508, 10094, 1989, 14881, 2037, 1048, 2257, 4493, 29878, 3144, 1084, 6734, 5588, 1006, 10226, 1068, 4651, 21131, 1138, 15306, 17635, 11418, 1927, 1195, 1044, 5473, 8333, 10395, 1049, 3429, 1060, 9716, 1068, 4732, 5085, 1005, 7970, 1049, 1784, 1049, 3246, 3482, 6613, 1493, 4029, 3021, 3465, 10835, 5714, 5489, 9229, 3448, 1803, 2364, 21240, 10039, 1005, 15529, 91, 1256, 1664, 4731, 1048, 1495, 1044, 1124, 2095, 3246, 6567, 4337, 1026, 2161, 1048, 1225, 1256, 1005, 1664, 1043, 5453, 1495, 9724, 18, 1206, 4473, 17124, 1006, 1101, 3952, 1693, 17917, 7962, 1331, 8888, 1256, 1043, 2684, 4607, 1049, 26823, 2933, 3478, 4327, 8755, 1048, 1702, 5473, 4731, 6311, 1945, 1043, 1026, 18778, 2309, 3408, 19080, 37, 3900, 4416, 24961, 1526, 1006, 23781, 1009, 13681, 1319, 1447, 1010, 1048, 2122, 17963, 1225, 1059, 2944, 19071, 3875, 12150, 3502, 7558, 4935, 1006, 9716, 2155, 12975, 1206, 1160, 1159, 5178, 2863, 1096, 21944, 1138, 4346, 1225, 1006, 17688, 1009, 22294, 1005, 1198, 1029, 3223, 1014, 1569, 17741, 1005, 10461, 10495, 1048, 15309, 1159, 17288, 1005, 4918, 6788, 1026, 8552, 1516, 3822, 26238, 1043, 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 ]

[ 2191, 1009, 25513, 4435, 2585, 6880, 1068, 1006, 5127, 2528, 1043, 2250, 8421, 3259, 1068, 1026, 21016, 1049, 4577, 33, 53, 91, 1118, 2191, 1060, 11765, 1009, 9290, 19, 9530, 1229, 1495, 1592, 1043, 1006, 4455, 1060, 22343, 1049, 19659, 1206, 1060, 9705, 1009, 8631, 3038, 1500, 1010, 6880, 1068, 8922, 11958, 3537, 1307, 1175, 6112, 1032, 1343, 1233, 3235, 1009, 30970, 1921, 1009, 27791, 2814, 12488, 1005, 3140, 1068, 21632, 2649, 26038, 52, 1813, 1149, 1009, 16504, 1068, 1026, 21016, 5473, 26051, 31435, 1271, 5629, 8317, 30927, 6499, 1174, 16004, 1124, 1429, 1758, 1009, 14466, 1544, 1009, 16430, 3195, 33, 73, 19525, 1009, 5283, 1009, 14020, 1271, 10529, 1233, 2413, 33, 4652, 1263, 1055, 1009, 2868, 1068, 1026, 9999, 1303, 1187, 3195, 1068, 1124, 14786, 1273, 1511, 11246, 7005, 1006, 2451, 1495, 1233, 1641, 1059, 24487, 26790, 4436, 39, 5462, 1142, 6077, 53, 22959, 45, 125, 52, 13889, 35, 1026, 14994, 3666, 7303, 1976, 1178, 31314, 1054, 1791, 3714, 1229, 1068, 1026, 2822, 1009, 1094, 13012, 9279, 1005, 11765, 1009, 2743, 1043, 9141, 19393, 1006, 3291, 32, 14994, 3666, 7303, 9577, 3350, 1319, 5558, 3666, 7303, 1160, 9577, 3350, 23333, 2023, 1142, 5558, 25811, 7303, 2656, 2778, 1046, 3350, 2366, 9279, 2868, 1009, 13012, 1009, 14994, 1298, 20581, 1026, 1057, 19979, 1167, 1041, 1303, 1049, 14994, 3666, 7303, 8482, 5558, 5443, 5709, 15, 1160, 9577, 3350, 32, 54, 8303, 2063, 1009, 24723, 1022, 2032, 1068, 1224, 16542, 2762, 1006, 27988, 1303, 1043, 3548, 33, 41, 19525, 1009, 2380, 1009, 2935, 1009, 31144, 2005, 3666, 24343, 1048, 1298, 1178, 4678, 3723, 1206, 1592, 6715, 1054, 4965, 1009, 2217, 31790, 1303, 1206, 25235, 1016, 2229, 1041, 15115, 2099, 5765, 1009, 7948, 2051, 1009, 14947, 18289, 6683, 1009, 1190, 71, 1009, 10588, 1005, 7147, 29517, 1318, 1068, 1026, 2743, 1009, 31144, 2005, 23333, 1999, 1142, 6077, 53, 21957, 3642, 2321, 9435, 1074, 12525, 1048, 1160, 1693, 18, 1054, 14496, 1702, 1126, 1178, 1057, 19979, 1167, 24710, 9361, 1048, 1240, 1014, 1135, 1054, 23412, 27850, 8351, 1273, 11458, 1888, 3759, 10940, 1206, 24657, 1861, 3983, 3064, 12525, 18289, 6683, 1009, 6048, 1009, 2926, 1071, 1932, 86, 1041, 2565, 11856, 2137, 4065, 8608, 3589, 8778, 90, 13300, 28954, 19761, 1021, 2012, 1005, 1734, 1565, 3985, 12525, 4408, 11263, 26519, 14917, 2308, 1142, 6077, 53, 6860, 2393, 30581, 1074, 12525, 9577, 7577, 1043, 19200, 2435, 6376, 6837, 18289, 6683, 1009, 14200, 1009, 21913, 1005, 22751, 5041, 19135, 33, 3985, 12525, 1009, 1460, 11211, 7121, 3368, 9877, 9918, 10497, 14947, 3634, 4305, 4618, 14617, 1005, 1693, 1178, 29013, 1166, 2271, 1048, 31674, 1006, 2380, 1009, 4618, 2127, 13131, 23333, 2567, 23522, 135, 22163, 2428, 6764, 6445, 25337, 59, 4824, 1062, 4812, 4414, 43, 1476, 1400, 1927, 1596, 9370, 1159, 4577, 1009, 1057, 2174, 5518, 1049, 14994, 1294, 17786, 1121, 26842, 1206, 1159, 4577, 1009, 1057, 2174, 5518, 1009, 15809, 17569, 1021, 5048, 1224, 7461, 1298, 1178, 1493, 12653, 1566, 1048, 1132, 14947, 1327, 3179, 1048, 5560, 1057, 19979, 1167, 1041, 2270, 44, 1014, 1209, 1005, 1419, 77, 2044, 1121, 1327, 5560, 1057, 19979, 1167, 8003, 1357, 1015, 4839, 17444, 33, 10408, 1005, 4577, 1009, 1155, 6713, 1461, 1693, 1178, 15374, 1154, 2502, 1005, 29013, 1166, 1114, 3486, 3649, 20519, 1159, 1871, 1009, 11778, 1006, 7461, 1009, 28623, 33, 7331, 5560, 9124, 3375, 2314, 1005, 12798, 1004, 0, 16947, 1175, 1057, 19979, 1167, 1041, 1303, 14917, 2639, 29695, 31590, 47, 4824, 31592, 2982, 2818, 23522, 135, 22163, 2428, 71, 10001, 1852, 1187, 14947, 13695, 3634, 1178, 14692, 1054, 5061, 19915, 25466, 1060, 1871, 13402, 1182, 17572, 1271, 7875, 33, 2174, 17572, 1049, 4249, 1060, 7875, 1043, 2384, 71, 23033, 2980, 33, 9776, 1120, 1112, 1009, 2380, 1009, 31325, 1009, 1413, 1017, 3645, 1213, 4249, 33, 2174, 17572, 1049, 2380, 1009, 31325, 1043, 1080, 6226, 33, 2174, 17572, 1009, 2220, 1026, 4249, 1060, 12406, 1005, 1060, 2384, 71, 23033, 2980, 1043, 9632, 20016, 1009, 1871, 1006, 7904, 1006, 2384, 71, 33, 9776, 1120, 1112, 1009, 2380, 1009, 4618, 1049, 1413, 1017, 3645, 1048, 2177, 4726, 1069, 1356, 2380, 1009, 31325, 1060, 12406, 33, 9776, 1120, 1112, 1009, 2380, 1009, 24924, 1009, 9242, 2093, 1577, 18289, 1077, 1060, 27665, 3131, 1049, 14994, 6977, 1206, 1305, 1057, 19979, 1167, 1041, 1303, 3377, 25, 3006, 1535, 3993, 1027, 12943, 5552, 5154, 1160, 1837, 9888, 3048, 6414, 2530, 32, 1241, 1492, 11335, 2855, 4, 56, 23601, 4211, 1248, 6694, 9108, 4406, 14976, 3990, 1308, 25, 3162, 7680, 39, 9703, 39, 1207, 4186, 2606, 39, 1082, 2982, 46, 2053, 42, 2164, 1082, 9020, 15523, 5071, 2431, 13846, 1009, 5829, 13475, 1637, 1060, 1083, 0, 15727, 1252, 6345, 1430, 5829, 1009, 1128, 1088, 1623, 23354, 1525, 1049, 21004, 21182, 1074, 10484, 1845, 90, 14697, 1118, 12078, 11644, 1479, 10305, 20897, 1005, 54, 1065, 8457, 5027, 5972, 1054, 10655, 17237, 1868, 3511, 57, 1036, 1038, 5701, 1005, 16989, 13617, 1034, 1685, 5604, 38, 83, 4589, 88, 80, 11987, 23380, 1, 10129, 13874, 1013, 5, 4476, 4407, 2486, 2565, 4965, 18787, 1759, 6613, 1094, 9394, 23285, 1048, 1757, 8340, 2328, 1271, 5025, 1048, 4088, 2643, 1006, 1919, 2652, 8965, 158, 1242, 28755, 1005, 12462, 3168, 2905, 20707, 1834, 1043, 1235, 21574, 1192, 1100, 27751, 4541, 14099, 1495, 4928, 3732, 1005, 22788, 27415, 5721, 3513, 4889, 1005, 14701, 3153, 3312, 2315, 1233, 1834, 10027, 28755, 1068, 3871, 1235, 3182, 1072, 11257, 1025, 1660, 1077, 10883, 9227, 2328, 1009, 1094, 2759, 13361, 27986, 3510, 1140, 4807, 1068, 1752, 2743, 3915, 12488, 3634, 5808, 8416, 11864, 1250, 1043, 1456, 21559, 2106, 4207, 1765, 1529, 2547, 2287, 1005, 7910, 9807, 16159, 16844, 11978, 20, 1063, 1871, 1159, 1224, 4214, 1096, 3675, 1236, 2309, 10829, 1298, 3871, 1026, 3189, 1049, 1235, 6262, 33, 2328, 1060, 4884, 1009, 6532, 1037, 1253, 19196, 1211, 5876, 3946, 4065, 3524, 7970, 1005, 27816, 1049, 10776, 1059, 14303, 26543, 62, 1283, 1313, 43, 9045, 22580, 7203, 2451, 3135, 1009, 1044, 2788, 2798, 4547, 7781, 20967, 19537, 10231, 1005, 11975, 3617, 4490, 4281, 12515, 1096, 6407, 1068, 23458, 1006, 1224, 4214, 1005, 10363, 1009, 1456, 3195, 1005, 23344, 7290, 2451, 6471, 1043, 1006, 4173, 1009, 7458, 1005, 5419, 89, 3544, 1005, 7943, 23138, 1005, 31631, 8718, 1068, 1048, 1026, 2743, 1852, 2374, 1044, 3189, 2875, 9886, 2759, 2237, 27137, 1068, 12952, 1044, 2743, 1049, 20533, 1213, 27546, 1142, 1473, 1508, 1224, 20605, 2935, 22788, 27415, 1049, 1235, 3366, 1721, 1024, 6146, 20663, 9914, 2247, 1009, 4137, 27135, 1916, 1, 13740, 1009, 3032, 28996, 3940, 1048, 2566, 5604, 1005, 1088, 1056, 19105, 1043, 2754, 12156, 1175, 3939, 10867, 10280, 1175, 4819, 1175, 14543, 4073, 4659, 1054, 5086, 2212, 3407, 8294, 2364, 1060, 4408, 1055, 1049, 2670, 11958, 3537, 80, 11095, 24064, 1726, 21881, 7157, 14010, 32, 29069, 80, 11095, 24064, 1726, 22291, 5963, 4073, 4659, 1054, 5086, 2212, 1006, 3940, 8294, 2364, 1060, 4408, 1055, 1049, 20582, 9881, 11967, 1631, 1009, 12206, 20, 1138, 3124, 1009, 1026, 6680, 1009, 2956, 1178, 24152, 9626, 1526, 1005, 1009, 1261, 10403, 1188, 5567, 1583, 6785, 1236, 1054, 16044, 7767, 26672, 1579, 13375, 1322, 1044, 2481, 1050, 2526, 14335, 1704, 2670, 1009, 3032, 9881, 11967, 1631, 1009, 12206, 1381, 9568, 1986, 1178, 28014, 1175, 4623, 11834, 1009, 16281, 3514, 1239, 1175, 24812, 80, 11095, 24064, 9057, 44, 54, 1605, 9271, 1998, 2947, 23331, 1068, 7213, 22775, 4087, 1009, 16910, 31017, 1014, 1629, 1406, 1043, 13799, 24135, 11166, 1206, 5946, 1455, 1189, 1629, 1005, 22793, 20, 5311, 6032, 27024, 1160, 1327, 7257, 2287, 1068, 1005, 1088, 1056, 19105, 1054, 3032, 29795, 1044, 9271, 4370, 1100, 7079, 1068, 1048, 1160, 4172, 1178, 3330, 1756, 1423, 3240, 2246, 17222, 23600, 1094, 12650, 1060, 17314, 20, 6126, 2220, 1044, 7931, 1114, 3940, 1068, 1048, 1006, 3271, 30693, 1006, 4497, 1054, 1094, 4087, 1493, 9080, 1406, 1973, 1704, 6483, 8964, 15413, 2645, 1218, 1188, 19554, 12217, 15, 30935, 1068, 7109, 11335, 3732, 1060, 3248, 3356, 2154, 15311, 1048, 1837, 1225, 1017, 1060, 8739, 1056, 2983, 1049, 6724, 1233, 1005, 1088, 1056, 19105, 8, 5735, 5002, 1049, 6387, 26176, 1009, 8643, 6612, 57, 4273, 6806, 1026, 6483, 7098, 1263, 24055, 21345, 1026, 1048, 2265, 1044, 23666, 1187, 1048, 19931, 18, 1005, 4979, 1048, 7349, 1005, 1088, 1056, 19105, 1096, 1094, 9348, 1068, 1664, 22957, 25900, 7843, 2315, 1048, 3592, 16866, 1160, 3634, 1178, 6081, 1009, 4768, 9512, 1327, 16866, 1493, 23432, 1009, 3997, 4508, 5048, 2013, 1044, 5054, 1009, 3568, 16200, 1493, 4370, 1100, 1048, 8981, 1201, 1582, 1009, 9456, 1005, 3997, 4508, 2565, 1160, 1096, 1094, 7401, 2987, 1009, 3484, 1841, 1206, 15893, 2656, 1294, 3449, 1048, 1006, 20292, 1005, 1006, 15109, 1271, 1783, 1009, 1589, 1178, 4768, 1037, 1140, 1406, 18218, 1006, 23545, 28485, 10653, 17187, 11661, 4263, 7512, 1325, 3822, 3721, 7869, 1043, 1006, 4380, 1060, 3248, 1860, 2682, 3356, 5330, 11609, 1009, 7059, 1048, 3230, 4319, 5262, 9610, 1048, 1006, 1807, 3364, 1060, 2779, 7512, 1096, 10775, 1406, 6066, 24572, 9269, 1044, 2417, 1009, 3186, 27241, 12945, 6321, 1044, 27779, 1717, 1006, 3940, 20, 4333, 1132, 2331, 1065, 5454, 1009, 4306, 7660, 1209, 23109, 1826, 2088, 9943, 1009, 1807, 5862, 20011, 1159, 15630, 17187, 2645, 17493, 15, 1005, 4243, 1868, 10463, 2663, 2812, 1102, 3377, 3026, 1132, 4965, 12951, 1596, 2203, 2585, 1026, 8123, 4055, 60, 2663, 3020, 1729, 2769, 1009, 29107, 1068, 1124, 7564, 1060, 9684, 15, 1318, 3765, 8616, 1915, 9086, 30116, 4966, 1048, 1160, 18252, 1094, 3484, 2725, 2682, 13466, 1629, 1068, 1006, 15426, 19872, 1187, 3997, 1009, 1664, 1005, 1271, 8406, 1009, 1752, 1044, 1054, 1852, 1060, 5297, 1160, 12474, 3048, 2161, 10172, 1132, 2625, 1652, 1912, 4261, 3997, 1005, 9200, 1054, 1465, 12013, 1048, 3634, 1178, 6890, 1402, 1005, 29731, 1166, 1406, 29378, 1026, 9295, 1704, 17050, 15513, 1060, 9738, 1711, 1491, 2523, 28, 7533, 1006, 7855, 20261, 1717, 1005, 1422, 12415, 8806, 621, 1096, 12374, 1159, 1044, 18687, 1233, 4408, 1055, 14335, 1533, 1088, 4142, 1046, 1657, 21959, 3356, 1188, 6266, 1139, 1778, 1096, 14296, 1118, 1044, 3467, 1009, 9436, 1309, 2306, 16857, 1006, 3597, 1048, 5510, 1233, 3248, 1479, 11424, 5593, 1044, 1033, 5415, 1183, 1066, 1206, 4848, 11598, 1044, 12270, 620, 1096, 1026, 3266, 22737, 1308, 4665, 18619, 2023, 15300, 17488, 91, 1078, 7796, 9733, 2391, 10280, 10867, 21, 3392, 10398, 9592, 1266, 14442, 19, 19979, 1589, 2427, 1089, 19, 1295, 5291, 1088, 4142, 71, 12267, 1088, 5817, 1034, 17203, 19, 3386, 1242, 19, 3109, 7646, 2223, 89, 5442, 1, 11288, 1810, 2695, 1076, 2873, 1103, 2646, 32, 21908, 4029, 1605, 18778, 3689, 150, 1026, 7970, 1009, 2125, 7268, 16514, 3994, 1233, 9716, 6033, 1600, 21153, 1124, 17741, 1009, 1675, 2525, 18968, 1005, 6617, 1049, 22281, 1128, 1199, 1590, 1637, 1009, 10761, 4753, 2645, 11478, 1937, 12541, 1049, 4819, 15, 3915, 25287, 18087, 1717, 14063, 1005, 2929, 166, 1024, 23408, 1482, 1675, 2414, 1717, 1026, 19630, 1005, 1006, 6974, 6429, 5949, 1505, 6781, 1054, 14727, 5615, 1060, 6974, 13092, 1005, 1026, 2478, 10976, 81, 19176, 31333, 4647, 5574, 1124, 9447, 1187, 5410, 2098, 1218, 15835, 2745, 5956, 10094, 1048, 10894, 1927, 8356, 1005, 1198, 1029, 3223, 1014, 1124, 17741, 1049, 15306, 1185, 1667, 15560, 1026, 1784, 1566, 19138, 1006, 3722, 1049, 21606, 2713, 47, 2428, 53, 20, 30210, 28440, 2745, 31737, 1471, 5943, 1009, 1557, 1005, 2997, 7065, 1068, 24984, 1098, 1167, 5282, 1010, 1558, 3890, 21504, 2032, 2875, 22535, 2125, 2864, 4311, 1508, 10094, 1989, 14881, 2037, 1048, 2257, 4493, 29878, 3144, 1084, 6734, 5588, 1006, 10226, 1068, 4651, 21131, 1138, 15306, 17635, 11418, 1927, 1195, 1044, 5473, 8333, 10395, 1049, 3429, 1060, 9716, 1068, 4732, 5085, 1005, 7970, 1049, 1784, 1049, 3246, 3482, 6613, 1493, 4029, 3021, 3465, 10835, 5714, 5489, 9229, 3448, 1803, 2364, 21240, 10039, 1005, 15529, 91, 1256, 1664, 4731, 1048, 1495, 1044, 1124, 2095, 3246, 6567, 4337, 1026, 2161, 1048, 1225, 1256, 1005, 1664, 1043, 5453, 1495, 9724, 18, 1206, 4473, 17124, 1006, 1101, 3952, 1693, 17917, 7962, 1331, 8888, 1256, 1043, 2684, 4607, 1049, 26823, 2933, 3478, 4327, 8755, 1048, 1702, 5473, 4731, 6311, 1945, 1043, 1026, 18778, 2309, 3408, 19080, 37, 3900, 4416, 24961, 1526, 1006, 23781, 1009, 13681, 1319, 1447, 1010, 1048, 2122, 17963, 1225, 1059, 2944, 19071, 3875, 12150, 3502, 7558, 4935, 1006, 9716, 2155, 12975, 1206, 1160, 1159, 5178, 2863, 1096, 21944, 1138, 4346, 1225, 1006, 17688, 1009, 22294, 1005, 1198, 1029, 3223, 1014, 1569, 17741, 1005, 10461, 10495, 1048, 15309, 1159, 17288, 1005, 4918, 6788, 1026, 8552, 1516, 3822, 26238, 1043, 1006 ]

[ 2265, 1048, 1976, 1178, 5118, 1140, 1996, 1009, 4207, 16319, 7636, 8406, 1048, 3348, 1046, 5085, 1233, 9834, 1005, 1233, 8087, 1009, 5567, 1048, 1143, 19458, 1271, 4034, 1009, 2011, 1187, 4085, 1060, 9752, 8636, 1048, 1006, 9705, 2821, 1377, 16386, 1006, 3319, 1060, 29853, 2572, 1006, 3319, 1060, 19700, 15213, 1596, 2754, 1124, 6286, 6162, 1312, 3057, 1083, 0, 18126, 1043, 4350, 1233, 9425, 1187, 3171, 9819, 3983, 1063, 17314, 1009, 4440, 1009, 2011, 1068, 9149, 1132, 10022, 5313, 3607, 1006, 13956, 1009, 10477, 1005, 1006, 1224, 7350, 1679, 3145, 9134, 1009, 1622, 1005, 1006, 1664, 1132, 4440, 17892, 3775, 5567, 1006, 1178, 20115, 1357, 1123, 5237, 43, 2098, 9074, 2309, 8986, 3259, 1060, 1123, 5237, 43, 4501, 5812, 32, 10814, 14773, 1006, 4253, 1118, 7793, 42, 159, 1006, 1224, 7059, 7, 25215, 7997, 1072, 8556, 25215, 7997, 1072, 6332, 25215, 7997, 1072, 25537, 1691, 1219, 2001, 1184, 9701, 9597, 3635, 24794, 89, 13399, 32, 24623, 2001, 3106, 14662, 1308, 5071, 23980, 27952, 4824, 1467, 1123, 5237, 43, 1096, 1094, 9705, 11092, 1007, 19, 1265, 1097, 3243, 1525, 1048, 5759, 1132, 9200, 1049, 23741, 1060, 9752, 22912, 7512, 1833, 1012, 1149, 2821, 2636, 1049, 23741, 18, 1048, 1225, 2281, 1006, 6723, 16631, 1060, 25277, 1060, 4668, 1060, 9752, 22912, 1054, 8258, 1005, 1026, 1957, 7440, 1088, 2212, 1118, 5301, 4195, 1043, 1026, 4549, 1667, 1, 14135, 71, 1072, 1235, 17226, 4564, 4816, 1322, 3227, 4345, 1060, 2413, 23345, 5730, 1009, 12513, 2457, 3540, 8419, 3692, 1, 1138, 1705, 6265, 1071, 30615, 2769, 1009, 30134, 2404, 15, 9704, 1048, 1026, 2738, 1009, 3113, 2177, 1009, 2373, 76, 1194, 18094, 1005, 1173, 1912, 1221, 626, 1054, 2848, 1271, 3251, 5852, 1049, 1908, 5613, 14922, 1184, 15291, 1826, 21617, 1068, 1026, 7247, 3587, 1054, 3584, 9898, 1198, 85, 2293, 3279, 1049, 2709, 1533, 2373, 1022, 5922, 3700, 31424, 626, 1271, 14922, 1058, 1976, 1233, 7530, 1009, 1094, 3349, 18287, 1048, 3904, 9033, 1009, 1094, 2373, 1296, 1133, 6823, 1009, 1238, 1009, 4599, 23708, 626, 5613, 22929, 18271, 2464, 1006, 2323, 1060, 4958, 9560, 1071, 5940, 1349, 1026, 9061, 4537, 150, 1072, 2293, 3279, 1049, 2709, 1005, 1054, 1751, 1009, 3584, 22396, 4720, 6058, 1114, 29780, 1118, 2220, 1026, 5449, 26773, 1021, 9955, 1068, 2276, 17716, 1356, 19690, 1356, 3709, 3498, 1075, 1049, 9963, 11268, 1049, 2709, 1005, 1054, 1751, 1009, 1764, 2434, 12904, 39, 10937, 1634, 1961, 1072, 2738, 1060, 4958, 9269, 6841, 1054, 6019, 1009, 1984, 30938, 1114, 7569, 2709, 4324, 9704, 1026, 1705, 6265, 13906, 1132, 2250, 4984, 1009, 3268, 1005, 1083, 0, 1009, 3049, 1837, 1094, 4671, 5579, 1009, 14614, 1114, 2413, 14046, 1236, 1365, 1026, 28224, 2709, 26773, 16693, 1005, 1132, 1063, 2018, 2502, 1060, 8128, 18, 1072, 2293, 3279, 1049, 2709, 4578, 82, 1045, 3240, 1006, 6823, 1009, 1238, 9061, 21364, 1058, 9741, 1157, 1068, 1026, 11984, 7277, 4316, 9706, 1553, 1005, 3826, 1049, 1908, 12904, 53, 3821, 1187, 6780, 1009, 6130, 17703, 8460, 18624, 9963, 19794, 2351, 14582, 1005, 16101, 1318, 4343, 13699, 15291, 5789, 1678, 1992, 1159, 2220, 1026, 2293, 1009, 3030, 4324, 2500, 5017, 1026, 1705, 6265, 12904, 39, 6823, 1009, 1238, 9061, 1976, 11034, 1072, 1561, 1495, 1026, 2822, 1060, 4958, 9269, 1043, 5579, 1009, 14922, 26089, 1005, 4606, 1312, 1495, 9707, 8465, 1349, 17087, 1463, 3905, 1184, 10892, 1060, 7569, 2709, 4324, 13236, 20, 1, 1063, 11184, 12447, 1187, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1005, 22156, 2111, 1394, 1152, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 8159, 1759, 1029, 2495, 1068, 1026, 3284, 1576, 20761, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 8159, 1691, 13196, 1576, 124, 45, 19604, 5394, 3083, 18862, 3576, 2870, 22580, 1138, 1313, 43, 9045, 22580, 27735, 3083, 18862, 12256, 1054, 6391, 17309, 14976, 6391, 21158, 19680, 1118, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 1467, 11184, 12447, 1187, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1005, 22156, 2111, 1394, 4093, 1026, 3704, 1147, 1060, 16756, 2058, 1229, 1752, 1472, 8435, 8639, 1118, 2693, 1006, 6396, 1009, 5554, 2170, 1118, 3005, 1026, 6003, 1065, 1444, 1337, 1096, 6407, 1068, 1048, 1132, 4209, 1058, 4635, 1046, 1184, 1584, 2681, 6613, 1005, 5928, 4430, 20, 1138, 19178, 19, 15896, 2703, 2794, 9284, 1349, 3863, 1294, 6611, 2925, 23996, 5258, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 6822, 4351, 29826, 1005, 1096, 1094, 1871, 10021, 1009, 26197, 1006, 3513, 1187, 4209, 1533, 83, 1212, 1278, 3533, 1722, 1166, 2691, 3235, 1005, 3361, 6481, 1132, 6611, 2925, 19178, 19, 21110, 1327, 1184, 6030, 9419, 18846, 1184, 11911, 1005, 12529, 1040, 2073, 8621, 1060, 16375, 1704, 23741, 1049, 1745, 15802, 1680, 1159, 1132, 23096, 1005, 16970, 1166, 1327, 4290, 1571, 1096, 1184, 11390, 2808, 6486, 19178, 19, 15896, 13640, 11203, 16539, 2643, 10635, 1006, 4877, 1371, 1184, 31929, 1043, 1006, 8087, 1009, 6611, 2925, 19178, 19, 15896, 2703, 18, 1094, 1472, 1048, 1807, 1751, 1060, 2779, 1566, 15402, 6180, 1009, 1871, 29032, 1043, 1124, 3606, 9879, 1005, 1043, 1006, 1788, 3980, 8698, 1704, 5883, 19178, 19, 21110, 1096, 3707, 2170, 2572, 1072, 23741, 1049, 1745, 15802, 2572, 1054, 23096, 1005, 16970, 2585, 1132, 25933, 1826, 7479, 6816, 1043, 1006, 6563, 2983, 1005, 13339, 1187, 1456, 16545, 1305, 8377, 28336, 9507, 1048, 9212, 1054, 14757, 1427, 1016, 1005, 1305, 1760, 3890, 1060, 3629, 1009, 1286, 20487, 1132, 4209, 5662, 1040, 2237, 4639, 1159, 1044, 11459, 85, 5457, 1049, 15929, 1048, 1058, 6293, 1184, 6518, 1005, 9279, 5721, 2916, 1009, 21087, 1187, 10829, 1006, 30262, 1026, 19178, 19, 15896, 2703, 2794, 9284, 15, 1005, 1043, 1668, 2285, 1006, 5319, 1009, 1531, 1068, 4604, 1096, 6407, 1048, 2237, 2374, 1094, 13429, 1752, 1472, 1712, 1118, 1751, 1009, 3235, 1005, 8022, 1187, 1184, 19459, 2872, 3052, 1009, 21448, 15251, 1333, 2925, 19178, 19, 21110, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 10316, 15098, 19, 2703, 1054, 10700, 1043, 1026, 30232, 12365, 5640, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 1308, 5445, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1327, 6486, 1048, 15829, 1159, 5370, 1009, 6003, 1065, 1444, 15277, 7496, 4473, 2643, 1006, 4008, 1009, 10264, 1124, 6433, 1005, 1026, 5496, 1271, 9666, 1118, 1751, 1187, 4209, 3590, 1780, 5521, 1006, 4639, 19178, 19, 15896, 2703, 4279, 1048, 1026, 10776, 4172, 21293, 1124, 6444, 1005, 10992, 3033, 1124, 1569, 9666, 1584, 11943, 1278, 4441, 6611, 2925, 19178, 19, 15896, 2703, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 5640, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 2643, 1159, 8208, 5275, 1006, 3513, 1187, 13857, 5700, 2220, 1026, 2568, 1009, 5554, 1184, 20378, 1584, 2681, 26701, 1788, 3980, 9064, 2170, 4109, 1009, 9613, 10021, 5721, 1006, 5579, 1009, 4207, 16567, 1233, 4375, 3027, 1054, 2612, 1124, 6106, 1187, 4209, 1005, 1187, 18975, 1229, 1132, 6611, 2925, 1693, 14368, 2539, 5119, 4837, 1159, 11881, 1009, 3525, 5247, 4583, 73, 5984, 14985, 2339, 31836, 3478, 11881, 1009, 2204, 1273, 18345, 12128, 92, 1330, 150, 1763, 1100, 4534, 5721, 27044, 1006, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 1225, 14453, 1188, 4306, 6611, 2925, 23996, 5258, 1624, 1139, 4743, 1048, 2908, 3982, 1365, 2089, 7395, 5129, 1663, 1026, 19178, 19, 15896, 13640, 1138, 18656, 46, 2053, 19484, 6767, 6957, 5604, 1664, 1132, 5684, 1009, 5110, 1009, 15068, 2532, 8882, 1009, 1871, 8403, 1005, 9279, 1026, 1235, 1607, 8433, 7895, 1138, 1067, 4186, 7635, 2545, 46, 25390, 1118, 1235, 29159, 15757, 8034, 1044, 3159, 7012, 1068, 5496, 1009, 7685, 21, 9287, 22350, 17797, 1043, 1124, 6286, 1009, 6137, 20622, 54, 1005, 13033, 1187, 16539, 20, 2013, 1493, 1050, 3912, 25937, 1054, 16970, 2585, 1118, 17216, 4685, 1026, 23867, 63, 9284, 2321, 1298, 1178, 3778, 1068, 1663, 1026, 15098, 19, 2703, 1054, 5419, 18952, 1118, 2991, 6843, 1270, 1121, 2691, 2688, 1976, 22884, 1213, 19178, 19, 15896, 2703, 5640, 5061, 1009, 19178, 19, 15896, 2703, 1693, 8421, 1787, 2073, 6262, 1060, 1572, 2641, 4195, 1026, 1048, 25781, 1184, 4209, 1005, 20998, 1026, 2568, 1009, 1287, 5304, 1766, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 19070, 4682, 1094, 1184, 1581, 1034, 1068, 1664, 1132, 2872, 3052, 1009, 15777, 2485, 2637, 8273, 4944, 30327, 1294, 6641, 9147, 6486, 14975, 1479, 13271, 15937, 5640, 6611, 2925, 19178, 19, 15896, 2703, 3758, 1040, 7871, 14338, 5257, 1229, 3587, 2246, 1132, 6044, 1058, 13589, 21884, 1006, 8823, 1184, 11946, 4837, 2097, 1132, 4209, 1381, 3982, 1584, 11943, 3240, 1026, 15098, 19, 2703, 3590, 71, 2921, 1871, 1048, 1058, 11009, 1006, 15937, 1463, 16596, 1273, 1118, 3018, 1318, 1058, 3356, 75, 1213, 4465, 1060, 12503, 1187, 4209, 1059, 30615, 17257, 27157, 1009, 22126, 1049, 10586, 5272, 71, 8004, 1043, 7442, 1009, 6611, 2925, 19178, 19, 21110, 11958, 1479, 12078, 1009, 5496, 1184, 9279, 3564, 15124, 1435, 5635, 1009, 2540, 2504, 1229, 1132, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 1349, 1048, 1318, 1327, 8903, 1159, 6611, 2925, 1624, 1139, 4743, 1206, 1009, 2533, 8424, 10316, 1048, 1132, 4209, 1160, 25847, 1233, 2540, 1054, 10184, 26333, 1890, 16089, 12059, 1009, 1557, 8245, 2668, 1356, 12253, 1009, 1026, 2568, 1009, 15098, 19, 2703, 1178, 1184, 28498, 7117, 1132, 4209, 13589, 4883, 1132, 1456, 3195, 1043, 2444, 1788, 3980, 4650, 1026, 8944, 1094, 1712, 3227, 9390, 9426, 1664, 1132, 3794, 6611, 2925, 19178, 19, 21110, 5848, 25, 1479, 6195, 4422, 1049, 3182, 5640, 6611, 2925, 19178, 19, 15896, 2703, 1693, 1178, 24858, 2184, 1005, 1693, 1178, 15627, 3552, 2236, 9900, 26913, 3587, 1511, 4176, 2502, 1043, 1124, 8426, 12798, 1009, 16970, 1599, 1118, 2991, 27281, 91, 1518, 88, 1026, 3182, 1009, 7620, 11064, 1298, 1178, 1026, 19638, 3654, 1068, 1026, 4465, 1271, 12225, 25576, 1479, 13271, 9141, 5161, 1271, 10405, 1184, 17706, 1187, 6611, 2925, 1096, 1006, 24855, 1043, 1048, 1132, 4209, 1693, 1663, 1026, 15098, 19, 2703, 1704, 19178, 19, 15896, 2703, 5759, 1094, 2360, 3513, 1068, 1026, 22682, 15215, 1118, 12522, 1206, 1356, 2987, 12253, 1009, 11146, 3122, 1139, 2485, 1118, 3018, 1026, 4174, 1298, 6016, 1026, 6003, 1065, 1444, 1337, 1114, 3907, 1009, 27175, 1124, 1569, 9666, 28476, 1479, 6195, 1034, 1060, 3513, 1009, 5554, 1049, 4174, 1467, 13752, 1184, 1049, 1048, 28333, 1126, 1132, 4209, 16532, 1094, 3593, 3513, 1511, 5036, 9666, 4441, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1693, 5275, 1026, 6975, 1009, 13857, 8913, 1048, 1124, 7943, 7148, 1046, 1184, 4209, 2730, 3041, 1009, 1557, 1184, 9327, 1533, 6979, 4594, 1049, 10542, 1007, 1021, 1762, 1553, 1054, 6611, 2925, 19178, 19, 21110, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 4093, 1184, 1009, 21087, 1187, 10829, 1006, 7893, 7142, 1026, 19178, 19, 15896, 2703, 18, 1124, 3235, 1005, 8022, 3634, 18953, 5990, 5480, 1009, 6003, 1065, 1444, 15277, 1424, 27044, 1752, 1472, 1184, 4209, 16532, 1118, 6978, 2353, 3589, 1356, 1048, 1132, 6611, 2925, 19178, 19, 15896, 2703, 1327, 1006, 4081, 7322, 1068, 1048, 2374, 2481, 15194, 21404, 1876, 1005, 9141, 20, 1138, 3435, 3019, 6573, 6071, 1305, 17876, 1044, 11064, 1680, 3361, 1599, 1043, 6044, 29416, 7106, 1005, 4209, 1048, 1058, 21660, 31929, 11791, 75, 1680, 7148, 1402, 5721, 1184, 1009, 3186, 1646, 1009, 3513, 1054, 6286, 6563, 2565, 1006, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 4337, 1026, 1048, 1096, 3654, 1068, 3823, 5061, 16013, 1005, 1043, 12929, 4818, 20, 3423, 2668, 1006, 6280, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 1096, 3371, 1132, 1456, 4209, 1006, 10596, 2170, 1118, 3005, 3892, 1508, 2693, 1006, 4022, 1006, 2252, 1124, 24050, 1048, 5036, 1554, 2013, 1043, 2122, 11589, 1005, 9797, 1048, 4311, 1508, 1006, 6992, 1187, 3794, 13161, 3590, 21596, 19136, 4071, 25159, 47, 11136, 23486, 57, 2428, 7463, 47, 2428, 6923, 2164, 1082, 22826, 4326, 132, 42, 3726, 11893, 29498, 4517, 6125, 2581, 18416, 6843, 1045, 10823, 1797, 23286, 22348, 10168, 21638, 41, 2690, 5165, 2356, 18, 19561, 19, 2703, 18, 14306, 6410, 1421, 2585, 1633, 1333, 2925, 1009, 15032, 8424, 1633, 1333, 2925, 19178, 19, 15896, 2703, 18, 1633, 1333, 2925, 19178, 19, 2577, 12879, 6566, 15802, 11779, 7185, 7495, 76, 19, 21110, 31051, 7649, 21678, 1797, 31969, 3388, 39, 1012 ]

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

[ 2265, 1048, 1976, 1178, 5118, 1140, 1996, 1009, 4207, 16319, 7636, 8406, 1048, 3348, 1046, 5085, 1233, 9834, 1005, 1233, 8087, 1009, 5567, 1048, 1143, 19458, 1271, 4034, 1009, 2011, 1187, 4085, 1060, 9752, 8636, 1048, 1006, 9705, 2821, 1377, 16386, 1006, 3319, 1060, 29853, 2572, 1006, 3319, 1060, 19700, 15213, 1596, 2754, 1124, 6286, 6162, 1312, 3057, 1083, 0, 18126, 1043, 4350, 1233, 9425, 1187, 3171, 9819, 3983, 1063, 17314, 1009, 4440, 1009, 2011, 1068, 9149, 1132, 10022, 5313, 3607, 1006, 13956, 1009, 10477, 1005, 1006, 1224, 7350, 1679, 3145, 9134, 1009, 1622, 1005, 1006, 1664, 1132, 4440, 17892, 3775, 5567, 1006, 1178, 20115, 1357, 1123, 5237, 43, 2098, 9074, 2309, 8986, 3259, 1060, 1123, 5237, 43, 4501, 5812, 32, 10814, 14773, 1006, 4253, 1118, 7793, 42, 159, 1006, 1224, 7059, 7, 25215, 7997, 1072, 8556, 25215, 7997, 1072, 6332, 25215, 7997, 1072, 25537, 1691, 1219, 2001, 1184, 9701, 9597, 3635, 24794, 89, 13399, 32, 24623, 2001, 3106, 14662, 1308, 5071, 23980, 27952, 4824, 1467, 1123, 5237, 43, 1096, 1094, 9705, 11092, 1007, 19, 1265, 1097, 3243, 1525, 1048, 5759, 1132, 9200, 1049, 23741, 1060, 9752, 22912, 7512, 1833, 1012, 1149, 2821, 2636, 1049, 23741, 18, 1048, 1225, 2281, 1006, 6723, 16631, 1060, 25277, 1060, 4668, 1060, 9752, 22912, 1054, 8258, 1005, 1026, 1957, 7440, 1088, 2212, 1118, 5301, 4195, 1043, 1026, 4549, 1667, 1, 14135, 71, 1072, 1235, 17226, 4564, 4816, 1322, 3227, 4345, 1060, 2413, 23345, 5730, 1009, 12513, 2457, 3540, 8419, 3692, 1, 1138, 1705, 6265, 1071, 30615, 2769, 1009, 30134, 2404, 15, 9704, 1048, 1026, 2738, 1009, 3113, 2177, 1009, 2373, 76, 1194, 18094, 1005, 1173, 1912, 1221, 626, 1054, 2848, 1271, 3251, 5852, 1049, 1908, 5613, 14922, 1184, 15291, 1826, 21617, 1068, 1026, 7247, 3587, 1054, 3584, 9898, 1198, 85, 2293, 3279, 1049, 2709, 1533, 2373, 1022, 5922, 3700, 31424, 626, 1271, 14922, 1058, 1976, 1233, 7530, 1009, 1094, 3349, 18287, 1048, 3904, 9033, 1009, 1094, 2373, 1296, 1133, 6823, 1009, 1238, 1009, 4599, 23708, 626, 5613, 22929, 18271, 2464, 1006, 2323, 1060, 4958, 9560, 1071, 5940, 1349, 1026, 9061, 4537, 150, 1072, 2293, 3279, 1049, 2709, 1005, 1054, 1751, 1009, 3584, 22396, 4720, 6058, 1114, 29780, 1118, 2220, 1026, 5449, 26773, 1021, 9955, 1068, 2276, 17716, 1356, 19690, 1356, 3709, 3498, 1075, 1049, 9963, 11268, 1049, 2709, 1005, 1054, 1751, 1009, 1764, 2434, 12904, 39, 10937, 1634, 1961, 1072, 2738, 1060, 4958, 9269, 6841, 1054, 6019, 1009, 1984, 30938, 1114, 7569, 2709, 4324, 9704, 1026, 1705, 6265, 13906, 1132, 2250, 4984, 1009, 3268, 1005, 1083, 0, 1009, 3049, 1837, 1094, 4671, 5579, 1009, 14614, 1114, 2413, 14046, 1236, 1365, 1026, 28224, 2709, 26773, 16693, 1005, 1132, 1063, 2018, 2502, 1060, 8128, 18, 1072, 2293, 3279, 1049, 2709, 4578, 82, 1045, 3240, 1006, 6823, 1009, 1238, 9061, 21364, 1058, 9741, 1157, 1068, 1026, 11984, 7277, 4316, 9706, 1553, 1005, 3826, 1049, 1908, 12904, 53, 3821, 1187, 6780, 1009, 6130, 17703, 8460, 18624, 9963, 19794, 2351, 14582, 1005, 16101, 1318, 4343, 13699, 15291, 5789, 1678, 1992, 1159, 2220, 1026, 2293, 1009, 3030, 4324, 2500, 5017, 1026, 1705, 6265, 12904, 39, 6823, 1009, 1238, 9061, 1976, 11034, 1072, 1561, 1495, 1026, 2822, 1060, 4958, 9269, 1043, 5579, 1009, 14922, 26089, 1005, 4606, 1312, 1495, 9707, 8465, 1349, 17087, 1463, 3905, 1184, 10892, 1060, 7569, 2709, 4324, 13236, 20, 1, 1063, 11184, 12447, 1187, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1005, 22156, 2111, 1394, 1152, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 8159, 1759, 1029, 2495, 1068, 1026, 3284, 1576, 20761, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 8159, 1691, 13196, 1576, 124, 45, 19604, 5394, 3083, 18862, 3576, 2870, 22580, 1138, 1313, 43, 9045, 22580, 27735, 3083, 18862, 12256, 1054, 6391, 17309, 14976, 6391, 21158, 19680, 1118, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 1467, 11184, 12447, 1187, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1005, 22156, 2111, 1394, 4093, 1026, 3704, 1147, 1060, 16756, 2058, 1229, 1752, 1472, 8435, 8639, 1118, 2693, 1006, 6396, 1009, 5554, 2170, 1118, 3005, 1026, 6003, 1065, 1444, 1337, 1096, 6407, 1068, 1048, 1132, 4209, 1058, 4635, 1046, 1184, 1584, 2681, 6613, 1005, 5928, 4430, 20, 1138, 19178, 19, 15896, 2703, 2794, 9284, 1349, 3863, 1294, 6611, 2925, 23996, 5258, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 6822, 4351, 29826, 1005, 1096, 1094, 1871, 10021, 1009, 26197, 1006, 3513, 1187, 4209, 1533, 83, 1212, 1278, 3533, 1722, 1166, 2691, 3235, 1005, 3361, 6481, 1132, 6611, 2925, 19178, 19, 21110, 1327, 1184, 6030, 9419, 18846, 1184, 11911, 1005, 12529, 1040, 2073, 8621, 1060, 16375, 1704, 23741, 1049, 1745, 15802, 1680, 1159, 1132, 23096, 1005, 16970, 1166, 1327, 4290, 1571, 1096, 1184, 11390, 2808, 6486, 19178, 19, 15896, 13640, 11203, 16539, 2643, 10635, 1006, 4877, 1371, 1184, 31929, 1043, 1006, 8087, 1009, 6611, 2925, 19178, 19, 15896, 2703, 18, 1094, 1472, 1048, 1807, 1751, 1060, 2779, 1566, 15402, 6180, 1009, 1871, 29032, 1043, 1124, 3606, 9879, 1005, 1043, 1006, 1788, 3980, 8698, 1704, 5883, 19178, 19, 21110, 1096, 3707, 2170, 2572, 1072, 23741, 1049, 1745, 15802, 2572, 1054, 23096, 1005, 16970, 2585, 1132, 25933, 1826, 7479, 6816, 1043, 1006, 6563, 2983, 1005, 13339, 1187, 1456, 16545, 1305, 8377, 28336, 9507, 1048, 9212, 1054, 14757, 1427, 1016, 1005, 1305, 1760, 3890, 1060, 3629, 1009, 1286, 20487, 1132, 4209, 5662, 1040, 2237, 4639, 1159, 1044, 11459, 85, 5457, 1049, 15929, 1048, 1058, 6293, 1184, 6518, 1005, 9279, 5721, 2916, 1009, 21087, 1187, 10829, 1006, 30262, 1026, 19178, 19, 15896, 2703, 2794, 9284, 15, 1005, 1043, 1668, 2285, 1006, 5319, 1009, 1531, 1068, 4604, 1096, 6407, 1048, 2237, 2374, 1094, 13429, 1752, 1472, 1712, 1118, 1751, 1009, 3235, 1005, 8022, 1187, 1184, 19459, 2872, 3052, 1009, 21448, 15251, 1333, 2925, 19178, 19, 21110, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 10316, 15098, 19, 2703, 1054, 10700, 1043, 1026, 30232, 12365, 5640, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 1308, 5445, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1327, 6486, 1048, 15829, 1159, 5370, 1009, 6003, 1065, 1444, 15277, 7496, 4473, 2643, 1006, 4008, 1009, 10264, 1124, 6433, 1005, 1026, 5496, 1271, 9666, 1118, 1751, 1187, 4209, 3590, 1780, 5521, 1006, 4639, 19178, 19, 15896, 2703, 4279, 1048, 1026, 10776, 4172, 21293, 1124, 6444, 1005, 10992, 3033, 1124, 1569, 9666, 1584, 11943, 1278, 4441, 6611, 2925, 19178, 19, 15896, 2703, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 5640, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 2643, 1159, 8208, 5275, 1006, 3513, 1187, 13857, 5700, 2220, 1026, 2568, 1009, 5554, 1184, 20378, 1584, 2681, 26701, 1788, 3980, 9064, 2170, 4109, 1009, 9613, 10021, 5721, 1006, 5579, 1009, 4207, 16567, 1233, 4375, 3027, 1054, 2612, 1124, 6106, 1187, 4209, 1005, 1187, 18975, 1229, 1132, 6611, 2925, 1693, 14368, 2539, 5119, 4837, 1159, 11881, 1009, 3525, 5247, 4583, 73, 5984, 14985, 2339, 31836, 3478, 11881, 1009, 2204, 1273, 18345, 12128, 92, 1330, 150, 1763, 1100, 4534, 5721, 27044, 1006, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 1225, 14453, 1188, 4306, 6611, 2925, 23996, 5258, 1624, 1139, 4743, 1048, 2908, 3982, 1365, 2089, 7395, 5129, 1663, 1026, 19178, 19, 15896, 13640, 1138, 18656, 46, 2053, 19484, 6767, 6957, 5604, 1664, 1132, 5684, 1009, 5110, 1009, 15068, 2532, 8882, 1009, 1871, 8403, 1005, 9279, 1026, 1235, 1607, 8433, 7895, 1138, 1067, 4186, 7635, 2545, 46, 25390, 1118, 1235, 29159, 15757, 8034, 1044, 3159, 7012, 1068, 5496, 1009, 7685, 21, 9287, 22350, 17797, 1043, 1124, 6286, 1009, 6137, 20622, 54, 1005, 13033, 1187, 16539, 20, 2013, 1493, 1050, 3912, 25937, 1054, 16970, 2585, 1118, 17216, 4685, 1026, 23867, 63, 9284, 2321, 1298, 1178, 3778, 1068, 1663, 1026, 15098, 19, 2703, 1054, 5419, 18952, 1118, 2991, 6843, 1270, 1121, 2691, 2688, 1976, 22884, 1213, 19178, 19, 15896, 2703, 5640, 5061, 1009, 19178, 19, 15896, 2703, 1693, 8421, 1787, 2073, 6262, 1060, 1572, 2641, 4195, 1026, 1048, 25781, 1184, 4209, 1005, 20998, 1026, 2568, 1009, 1287, 5304, 1766, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 19070, 4682, 1094, 1184, 1581, 1034, 1068, 1664, 1132, 2872, 3052, 1009, 15777, 2485, 2637, 8273, 4944, 30327, 1294, 6641, 9147, 6486, 14975, 1479, 13271, 15937, 5640, 6611, 2925, 19178, 19, 15896, 2703, 3758, 1040, 7871, 14338, 5257, 1229, 3587, 2246, 1132, 6044, 1058, 13589, 21884, 1006, 8823, 1184, 11946, 4837, 2097, 1132, 4209, 1381, 3982, 1584, 11943, 3240, 1026, 15098, 19, 2703, 3590, 71, 2921, 1871, 1048, 1058, 11009, 1006, 15937, 1463, 16596, 1273, 1118, 3018, 1318, 1058, 3356, 75, 1213, 4465, 1060, 12503, 1187, 4209, 1059, 30615, 17257, 27157, 1009, 22126, 1049, 10586, 5272, 71, 8004, 1043, 7442, 1009, 6611, 2925, 19178, 19, 21110, 11958, 1479, 12078, 1009, 5496, 1184, 9279, 3564, 15124, 1435, 5635, 1009, 2540, 2504, 1229, 1132, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 1349, 1048, 1318, 1327, 8903, 1159, 6611, 2925, 1624, 1139, 4743, 1206, 1009, 2533, 8424, 10316, 1048, 1132, 4209, 1160, 25847, 1233, 2540, 1054, 10184, 26333, 1890, 16089, 12059, 1009, 1557, 8245, 2668, 1356, 12253, 1009, 1026, 2568, 1009, 15098, 19, 2703, 1178, 1184, 28498, 7117, 1132, 4209, 13589, 4883, 1132, 1456, 3195, 1043, 2444, 1788, 3980, 4650, 1026, 8944, 1094, 1712, 3227, 9390, 9426, 1664, 1132, 3794, 6611, 2925, 19178, 19, 21110, 5848, 25, 1479, 6195, 4422, 1049, 3182, 5640, 6611, 2925, 19178, 19, 15896, 2703, 1693, 1178, 24858, 2184, 1005, 1693, 1178, 15627, 3552, 2236, 9900, 26913, 3587, 1511, 4176, 2502, 1043, 1124, 8426, 12798, 1009, 16970, 1599, 1118, 2991, 27281, 91, 1518, 88, 1026, 3182, 1009, 7620, 11064, 1298, 1178, 1026, 19638, 3654, 1068, 1026, 4465, 1271, 12225, 25576, 1479, 13271, 9141, 5161, 1271, 10405, 1184, 17706, 1187, 6611, 2925, 1096, 1006, 24855, 1043, 1048, 1132, 4209, 1693, 1663, 1026, 15098, 19, 2703, 1704, 19178, 19, 15896, 2703, 5759, 1094, 2360, 3513, 1068, 1026, 22682, 15215, 1118, 12522, 1206, 1356, 2987, 12253, 1009, 11146, 3122, 1139, 2485, 1118, 3018, 1026, 4174, 1298, 6016, 1026, 6003, 1065, 1444, 1337, 1114, 3907, 1009, 27175, 1124, 1569, 9666, 28476, 1479, 6195, 1034, 1060, 3513, 1009, 5554, 1049, 4174, 1467, 13752, 1184, 1049, 1048, 28333, 1126, 1132, 4209, 16532, 1094, 3593, 3513, 1511, 5036, 9666, 4441, 6611, 2925, 19178, 19, 15896, 2703, 2794, 9284, 15, 1693, 5275, 1026, 6975, 1009, 13857, 8913, 1048, 1124, 7943, 7148, 1046, 1184, 4209, 2730, 3041, 1009, 1557, 1184, 9327, 1533, 6979, 4594, 1049, 10542, 1007, 1021, 1762, 1553, 1054, 6611, 2925, 19178, 19, 21110, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 4093, 1184, 1009, 21087, 1187, 10829, 1006, 7893, 7142, 1026, 19178, 19, 15896, 2703, 18, 1124, 3235, 1005, 8022, 3634, 18953, 5990, 5480, 1009, 6003, 1065, 1444, 15277, 1424, 27044, 1752, 1472, 1184, 4209, 16532, 1118, 6978, 2353, 3589, 1356, 1048, 1132, 6611, 2925, 19178, 19, 15896, 2703, 1327, 1006, 4081, 7322, 1068, 1048, 2374, 2481, 15194, 21404, 1876, 1005, 9141, 20, 1138, 3435, 3019, 6573, 6071, 1305, 17876, 1044, 11064, 1680, 3361, 1599, 1043, 6044, 29416, 7106, 1005, 4209, 1048, 1058, 21660, 31929, 11791, 75, 1680, 7148, 1402, 5721, 1184, 1009, 3186, 1646, 1009, 3513, 1054, 6286, 6563, 2565, 1006, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 4337, 1026, 1048, 1096, 3654, 1068, 3823, 5061, 16013, 1005, 1043, 12929, 4818, 20, 3423, 2668, 1006, 6280, 1060, 7915, 58, 3710, 3642, 1283, 1138, 4212, 49, 47, 2428, 49, 57, 1096, 3371, 1132, 1456, 4209, 1006, 10596, 2170, 1118, 3005, 3892, 1508, 2693, 1006, 4022, 1006, 2252, 1124, 24050, 1048, 5036, 1554, 2013, 1043, 2122, 11589, 1005, 9797, 1048, 4311, 1508, 1006, 6992, 1187, 3794, 13161, 3590, 21596, 19136, 4071, 25159, 47, 11136, 23486, 57, 2428, 7463, 47, 2428, 6923, 2164, 1082, 22826, 4326, 132, 42, 3726, 11893, 29498, 4517, 6125, 2581, 18416, 6843, 1045, 10823, 1797, 23286, 22348, 10168, 21638, 41, 2690, 5165, 2356, 18, 19561, 19, 2703, 18, 14306, 6410, 1421, 2585, 1633, 1333, 2925, 1009, 15032, 8424, 1633, 1333, 2925, 19178, 19, 15896, 2703, 18, 1633, 1333, 2925, 19178, 19, 2577, 12879, 6566, 15802, 11779, 7185, 7495, 76, 19, 21110, 31051, 7649, 21678, 1797, 31969, 3388, 39, 1012 ]

[ 20820, 19479, 1054, 5614, 2443, 3164, 1060, 3248, 19429, 15, 1195, 1044, 4148, 1009, 6450, 15849, 1005, 1949, 2212, 1048, 18315, 1184, 1009, 10757, 4533, 1365, 23491, 1005, 2879, 1999, 2200, 5810, 1072, 8063, 1054, 5614, 2443, 1309, 17307, 1068, 1006, 17180, 18, 1571, 18315, 1235, 1831, 2403, 2045, 2478, 1301, 3769, 15323, 1054, 3310, 1999, 4899, 74, 7687, 3587, 1054, 12414, 3123, 5254, 20758, 1072, 8223, 1009, 26765, 1482, 3310, 2525, 1264, 18315, 15077, 25249, 3082, 2186, 1594, 1437, 1400, 1235, 2403, 1184, 1680, 20793, 18352, 19385, 2478, 1301, 3769, 1104, 1967, 5784, 27179, 19896, 1699, 2878, 1967, 4406, 1308, 4878, 4991, 17600, 77, 2694, 1967, 4406, 7199, 3169, 1106, 1087, 73, 1723, 1967, 4406, 27179, 13041, 1098, 2186, 3132, 1065, 1967, 4990, 13312, 1730, 3614, 8532, 5290, 9725, 89, 1967, 4673, 10122, 84, 9987, 1409, 2186, 5488, 1967, 4994, 11781, 2144, 1253, 6014, 2613, 3490, 1967, 4943, 1308, 59, 1037, 25249, 3082, 2186, 12497, 1018, 1967, 4943, 7199, 84, 4976, 1253, 2604, 6215, 6225, 37, 1967, 5963, 18103, 2390, 1446, 2401, 1967, 5235, 1308, 11917, 1065, 3490, 2186, 1128, 29503, 1967, 3949, 27179, 7214, 1362, 1081, 3379, 1018, 11226, 1967, 8121, 14618, 2310, 2965, 1699, 14723, 1049, 8063, 5168, 26056, 1009, 6450, 1049, 8063, 1797, 20944, 29902, 1, 27866, 5257, 1221, 1007, 94, 1804, 1189, 1041, 1423, 1093, 1096, 1094, 3610, 22992, 1009, 18407, 1048, 1516, 7081, 13199, 1060, 6140, 20097, 1658, 4507, 12154, 1054, 5614, 25, 11479, 1131, 5524, 21326, 28494, 1, 1562, 98, 26761, 30370, 1011, 2057, 86, 27444, 2895, 17291, 1011, 2057, 3096, 1139, 1253, 2895, 22, 8, 10891, 9119, 32, 11774, 26452, 10610, 9739, 23, 6309, 3093, 10766, 10766, 10766, 16358, 33, 27304, 3498, 4797, 32, 4332, 11, 11050, 30987, 30704, 17291, 1011, 2057, 86, 27444, 2895, 22, 8, 675, 15223, 31076, 32, 1245, 3200, 33, 27304, 3498, 4797, 32, 21937, 3265, 33, 7491, 32, 95, 27495, 33, 6585, 15886, 4698, 11050, 1152, 1138, 2140, 84, 1117, 8991, 1441, 1034, 4789, 18782, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6254, 1232, 675, 6254, 2345, 1087, 1066, 8219, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 5508, 1069, 1054, 1232, 13000, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 9690, 14482, 2526, 9060, 5259, 1106, 10733, 4134, 18854, 6436, 14, 1442, 6101, 3406, 4969, 15, 41, 2206, 1138, 2140, 84, 1117, 7214, 14870, 9439, 14, 1442, 4969, 620, 20580, 10684, 19, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6642, 1197, 2650, 1232, 2082, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 675, 7022, 1232, 675, 1138, 2140, 84, 1117, 5422, 1581, 1560, 2895, 6235, 8, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 675, 13804, 5998, 1550, 4852, 1232, 675, 1163, 16260, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6168, 1232, 6916, 5777, 83, 11164, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 2605, 17119, 1232, 30043, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 1062, 1888, 1232, 16343, 1005, 18188, 1013, 1362, 675, 2082, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 16749, 6636, 1232, 11918, 85, 1009, 17417, 1551, 8189, 1632, 1066, 11918, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 3619, 7317, 1232, 3006, 2621, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6519, 1021, 1348, 1232, 675, 14042, 5072, 19859, 1009, 8039, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 7625, 1346, 4210, 21, 3487, 1232, 1799, 0, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 27152, 22767, 1544, 1232, 2082, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 18571, 1303, 1232, 675, 1144, 6817, 6112, 24123, 19, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 28719, 9060, 57, 10252, 10771, 1433, 99, 3436, 5259, 1138, 2140, 84, 1117, 7214, 14870, 9439, 1096, 1044, 4346, 3467, 1009, 17543, 11073, 1114, 1641, 1009, 1138, 2140, 84, 13335, 1163, 1314, 1126, 4573, 675, 1048, 6915, 5474, 1006, 1142, 14927, 8219, 5801, 3436, 4346, 1195, 11606, 1054, 13000, 1043, 1026, 1720, 1009, 5259, 1106, 10733, 4134, 18854, 6436, 1005, 10602, 3337, 2793, 3201, 1159, 2034, 4736, 1106, 10733, 1118, 3865, 1049, 1235, 21361, 8341, 5024, 3867, 2280, 79, 3858, 1026, 1428, 3765, 11277, 1068, 1048, 1026, 4346, 2467, 1993, 1006, 1101, 0, 4831, 9969, 1195, 1026, 6871, 1420, 2483, 16717, 2431, 1087, 10368, 1145, 1658, 2323, 1060, 20637, 11865, 8221, 2400, 3475, 1006, 1058, 7726, 13774, 1138, 2140, 84, 13335, 5966, 1048, 14704, 1675, 1557, 14636, 1005, 4108, 1114, 20637, 12041, 19, 4829, 11385, 1975, 1068, 1006, 1083, 0, 8740, 1106, 1986, 9303, 1439, 1371, 6635, 1009, 1044, 2417, 7662, 1118, 9941, 1024, 2339, 1924, 1019, 3691, 80, 1052, 1005, 20111, 23423, 1377, 1776, 22242, 1187, 18026, 1187, 25997, 1026, 2312, 10440, 5404, 1118, 8900, 1118, 1422, 20768, 675, 11014, 2921, 4180, 1006, 1641, 1009, 1138, 2140, 84, 1117, 6706, 1006, 7813, 1013, 7344, 1060, 2759, 1049, 6158, 10213, 5339, 1026, 4758, 1049, 27513, 1054, 1138, 2140, 84, 13335, 2225, 1412, 1026, 5259, 1138, 2140, 84, 1117, 7214, 14870, 9439, 9866, 13, 1048, 5857, 1006, 2225, 1130, 1371, 1043, 1026, 1106, 10733, 4134, 18854, 2673, 1054, 1675, 1009, 9647, 1009, 2026, 3162, 8974, 1463, 2898, 1026, 1062, 2338, 8309, 1113, 7851, 30912, 6448, 18738, 1118, 20637, 14526, 5664, 1887, 2786, 17588, 1242, 5, 5073, 620, 12594, 32, 2786, 41, 1606, 23222, 26041, 1479, 25156, 3350, 1114, 2750, 4415, 1009, 4440, 9660, 3193, 30772, 1009, 27513, 1060, 4573, 1, 1207, 2304, 95, 18006, 25355, 18, 1207, 2304, 95, 91, 13048, 10243, 1206, 1344, 16864, 153, 5798, 12789, 4932, 6004, 1706, 88, 15, 675, 1096, 1094, 1641, 1054, 14297, 1022, 21558, 1072, 16509, 1060, 5310, 6439, 4180, 1060, 7824, 11871, 4223, 4566, 1207, 2304, 95, 18006, 25355, 1195, 18936, 1159, 4799, 1049, 5731, 1060, 7569, 1049, 7273, 1049, 2293, 1156, 2903, 20, 2494, 6095, 7475, 1026, 1622, 5046, 1054, 10289, 2334, 1318, 6303, 9526, 1006, 2751, 2068, 1009, 1235, 3603, 1322, 14297, 1022, 1563, 6789, 1581, 1802, 1138, 2751, 11852, 1271, 9109, 1060, 7824, 11871, 4223, 1253, 1054, 2220, 14297, 1022, 1563, 1516, 1026, 17553, 1060, 7569, 1049, 7273, 1049, 2293, 4790, 1803, 5819, 1207, 2304, 95, 18006, 25355, 20200, 1043, 1044, 1807, 11064, 20188, 1005, 1094, 3838, 27964, 24160, 2494, 4180, 1006, 1641, 1195, 3806, 1009, 3047, 26661, 11696, 1138, 6377, 27057, 1005, 1124, 28767, 24714, 7893, 1034, 7726, 1026, 2386, 1009, 4790, 1803, 1068, 12529, 27544, 1009, 26661, 1420, 3942, 2738, 1060, 14619, 1076, 20627, 1882, 18, 1207, 2304, 95, 18006, 25355, 1195, 1026, 3810, 2269, 1049, 7273, 1049, 2293, 1156, 2903, 1006, 1178, 23103, 2309, 9813, 18426, 1072, 1852, 1009, 3113, 1009, 9856, 2567, 1482, 3484, 1233, 7442, 1009, 1044, 31515, 28975, 10602, 10909, 1026, 6377, 27057, 19033, 1026, 7273, 1049, 2293, 1156, 2903, 1054, 10565, 2081, 12015, 1048, 14704, 1495, 8931, 2081, 1511, 1006, 2413, 1195, 8757, 12079, 1233, 5310, 1294, 4732, 1049, 16426, 1009, 1764, 19579, 10774, 1006, 20283, 1060, 25457, 17930, 1322, 1006, 10909, 1195, 9897, 1094, 2360, 1641, 1006, 1799, 2718, 1213, 3184, 1060, 21788, 1048, 3475, 1006, 1058, 7726, 1159, 1982, 1038, 1253, 1206, 3492, 31575, 1253, 675, 675, 675, 25538, 1072, 7273, 1049, 2293, 1156, 2903, 1, 5826, 26342, 5524, 1327, 1094, 4671, 2531, 1009, 16224, 5127, 11677, 3441, 1278, 9839, 1114, 9097, 1679, 1060, 2531, 1062, 1975, 4387, 7830, 1324, 1681, 21629, 2152, 1722, 1189, 24082, 1005, 4796, 1809, 1051, 1097, 1017, 3662, 1309, 1755, 83, 1271, 14757, 1614, 1492, 1005, 2350, 2624, 2691, 5281, 20090, 1392, 2893, 25063, 1467, 2531, 18289, 1694, 1009, 3379, 1037, 93, 5221, 5631, 1184, 1009, 7780, 5715, 7256, 9784, 1054, 2252, 1124, 5852, 1049, 18326, 28927, 13759, 1482, 4788, 1657, 10486, 5715, 1327, 9673, 1009, 2969, 8416, 1233, 3836, 1049, 3826, 1005, 3819, 1325, 3863, 1114, 18104, 1482, 21481, 1324, 28329, 77, 2215, 2435, 1096, 8183, 11997, 1054, 30218, 4807, 1049, 4796, 7081, 1725, 1221, 1144, 3930, 5581, 1093, 3313, 4755, 2672, 5, 6320, 24314, 12692, 5, 5495, 24037, 2689, 11476, 1107, 1665, 5, 21604, 24037, 1062, 1843, 10589, 1174, 1958, 13035, 3845, 21629, 1574, 28347, 1104, 1631, 2262, 13554, 11185, 5826, 26342, 5524, 4139, 28054, 7429, 1578, 4160, 1308, 5495, 21629, 5826, 26342, 24082, 4139, 28054, 7429, 1578, 4160, 2548, 13568, 1046, 27657, 1009, 5127, 11677, 1, 5542, 27384, 1195, 1044, 6159, 4866, 2274, 10165, 1054, 1101, 1009, 3049, 1009, 1578, 5988, 5682, 23601, 27384, 5810, 1054, 1574, 1045, 90, 5254, 18, 7598, 1079, 73, 28093, 13723, 4037, 26013, 2200, 9241, 1114, 6074, 3578, 1187, 1106, 169, 26350, 1005, 1318, 1114, 8020, 3578, 19926, 2200, 18439, 11409, 7114, 1054, 1094, 2700, 1009, 4533, 20, 1482, 26113, 1264, 2845, 1006, 4524, 1054, 4533, 2080, 1010, 17341, 3818, 2310, 3133, 3052, 1049, 4037, 5546, 22728, 1009, 6450, 1797, 20944, 29902, 6577, 1009, 1574, 1045, 90, 5254, 1, 6891, 7980, 8201, 1009, 23031, 1400, 1184, 3201, 1159, 6891, 7980, 1009, 31757, 1206, 1657, 6891, 7980, 19344, 1009, 6850, 1487, 1009, 3042, 1009, 2879, 5463, 1096, 1044, 4472, 90, 12136, 1348, 1005, 18408, 12131, 1048, 21476, 1159, 8486, 1206, 22450, 7381, 17102, 4530, 5481, 82, 5531, 2646, 13958, 7210, 7980, 1666, 3205, 1890, 2693, 1224, 14382, 1072, 2457, 1365, 1132, 1646, 1009, 18653, 1005, 2454, 3006, 1424, 1026, 22108, 1078, 2212, 6368, 1026, 3848, 21443, 1009, 14603, 3313, 3643, 5092, 13958, 7210, 7980, 1318, 10083, 1357, 6974, 6164, 14432, 3336, 1482, 27688, 6891, 7980, 6580, 1187, 3945, 17941, 9628, 1054, 1048, 1026, 1561, 4857, 1006, 9236, 1009, 5638, 20, 10662, 4666, 8552, 1048, 1195, 4949, 1054, 1764, 4989, 6891, 7980, 10083, 1657, 1114, 4744, 1717, 1026, 24741, 1118, 1307, 15234, 10047, 8795, 1257, 5698, 1009, 1058, 28594, 18, 6891, 7980, 3765, 2738, 1006, 3560, 1159, 3798, 8341, 31300, 1006, 2323, 1049, 15097, 1620, 1463, 8862, 1009, 24157, 1005, 4064, 1620, 1006, 11034, 1159, 8795, 1060, 2759, 2751, 1054, 14719, 8301, 1014, 26872, 15, 1005, 11865, 10047, 11237, 1009, 3246, 5868, 15203, 7062, 1213, 2790, 1009, 24655, 14464, 1072, 2457, 1571, 7918, 1026, 3848, 21443, 8152, 1901, 29248, 6849, 1365, 6911, 1005, 5855, 1005, 1054, 11057, 10083, 1159, 11237, 1009, 3246, 1009, 675, 12561, 18, 7687, 1114, 6974, 1561, 2469, 675, 1005, 1054, 3825, 25385, 3942, 2457, 7687, 1365, 4265, 1005, 8683, 1213, 2790, 1049, 2276, 8795, 1205, 12404, 14229, 28130, 17095, 17102, 4530, 10559, 3643, 6164, 14432, 1145, 5, 3125, 16620, 17941, 1577, 32, 18653, 5481, 82, 5531, 2646, 5, 3848, 21443, 32, 14603, 17102, 11237, 1009, 3246, 16883, 7551, 76, 2560, 5, 3848, 21443, 32, 8379, 3296, 2310, 1257, 18982, 1060, 1641, 1049, 2293, 1009, 3030, 5427, 1049, 15097, 13450, 5259, 9514, 1060, 6974, 6164, 1009, 4718, 19183, 1049, 15097, 13450, 5259, 19183, 1009, 3246, 1049, 2293, 1009, 3030, 2503, 79, 1602, 1452, 1049, 6120, 1009, 2960, 7225, 1049, 12938, 616, 2503, 79, 1602, 1452, 1049, 6707, 5259, 13146, 9623, 616, 1, 8831, 8529, 1096, 1044, 4796, 1009, 15565, 1060, 2531, 2422, 1075, 5524, 6603, 4496, 5715, 1327, 30207, 27694, 5607, 8529, 3073, 15211, 6538, 10640, 5607, 8529, 7828, 4544, 73, 11231, 12358, 1024, 1075, 12456, 22499, 1009, 15565, 1, 31546, 1014, 4670, 1042, 17466, 1009, 3049, 1009, 5614, 24, 1175, 1307, 1009, 3403, 1009, 2226, 5056, 1195, 1044, 3092, 7719, 1048, 9241, 1072, 20823, 7790, 1018, 4242, 1014, 1890, 1006, 6074, 3578, 19926, 3126, 24174, 1905, 1043, 1006, 4934, 1009, 22704, 1060, 4934, 1009, 9754, 1043, 8943, 3035, 1009, 11369, 2474, 17915, 1066, 2765, 14526, 1330, 1010, 10991, 1257, 1257, 1257, 1257, 12358, 10106, 1060, 8020, 3578, 3747, 17483, 24519, 11427, 10106, 1060, 6074, 3578, 3747, 17483, 24519, 1308, 14326, 24447, 2650, 1060, 4934, 1009, 22704, 1060, 4934, 1009, 9754, 20624, 24447, 2650, 1060, 4934, 23389, 7537, 1054, 8219, 3564, 1051, 4893, 1060, 6926, 12789, 25624, 1767, 6577, 1009, 4669, 1131, 12708, 1, 1562, 98, 26761, 30370, 1011, 2057, 86, 27444, 2895, 17291, 1011, 2057, 3096, 1139, 1253, 2895, 22, 8, 10891, 9119, 32, 11774, 26452, 10610, 9739, 23, 6309, 5348, 16358, 33, 27304, 3498, 4797, 32, 4332, 11, 11050, 30987, 30704, 17291, 1011, 2057, 86, 27444, 2895, 22, 8, 675, 15223, 31076, 32, 1878, 33, 27304, 3498, 4797, 32, 21937, 3265, 33, 7491, 32, 20759, 1459 ]

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

[ 20820, 19479, 1054, 5614, 2443, 3164, 1060, 3248, 19429, 15, 1195, 1044, 4148, 1009, 6450, 15849, 1005, 1949, 2212, 1048, 18315, 1184, 1009, 10757, 4533, 1365, 23491, 1005, 2879, 1999, 2200, 5810, 1072, 8063, 1054, 5614, 2443, 1309, 17307, 1068, 1006, 17180, 18, 1571, 18315, 1235, 1831, 2403, 2045, 2478, 1301, 3769, 15323, 1054, 3310, 1999, 4899, 74, 7687, 3587, 1054, 12414, 3123, 5254, 20758, 1072, 8223, 1009, 26765, 1482, 3310, 2525, 1264, 18315, 15077, 25249, 3082, 2186, 1594, 1437, 1400, 1235, 2403, 1184, 1680, 20793, 18352, 19385, 2478, 1301, 3769, 1104, 1967, 5784, 27179, 19896, 1699, 2878, 1967, 4406, 1308, 4878, 4991, 17600, 77, 2694, 1967, 4406, 7199, 3169, 1106, 1087, 73, 1723, 1967, 4406, 27179, 13041, 1098, 2186, 3132, 1065, 1967, 4990, 13312, 1730, 3614, 8532, 5290, 9725, 89, 1967, 4673, 10122, 84, 9987, 1409, 2186, 5488, 1967, 4994, 11781, 2144, 1253, 6014, 2613, 3490, 1967, 4943, 1308, 59, 1037, 25249, 3082, 2186, 12497, 1018, 1967, 4943, 7199, 84, 4976, 1253, 2604, 6215, 6225, 37, 1967, 5963, 18103, 2390, 1446, 2401, 1967, 5235, 1308, 11917, 1065, 3490, 2186, 1128, 29503, 1967, 3949, 27179, 7214, 1362, 1081, 3379, 1018, 11226, 1967, 8121, 14618, 2310, 2965, 1699, 14723, 1049, 8063, 5168, 26056, 1009, 6450, 1049, 8063, 1797, 20944, 29902, 1, 27866, 5257, 1221, 1007, 94, 1804, 1189, 1041, 1423, 1093, 1096, 1094, 3610, 22992, 1009, 18407, 1048, 1516, 7081, 13199, 1060, 6140, 20097, 1658, 4507, 12154, 1054, 5614, 25, 11479, 1131, 5524, 21326, 28494, 1, 1562, 98, 26761, 30370, 1011, 2057, 86, 27444, 2895, 17291, 1011, 2057, 3096, 1139, 1253, 2895, 22, 8, 10891, 9119, 32, 11774, 26452, 10610, 9739, 23, 6309, 3093, 10766, 10766, 10766, 16358, 33, 27304, 3498, 4797, 32, 4332, 11, 11050, 30987, 30704, 17291, 1011, 2057, 86, 27444, 2895, 22, 8, 675, 15223, 31076, 32, 1245, 3200, 33, 27304, 3498, 4797, 32, 21937, 3265, 33, 7491, 32, 95, 27495, 33, 6585, 15886, 4698, 11050, 1152, 1138, 2140, 84, 1117, 8991, 1441, 1034, 4789, 18782, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6254, 1232, 675, 6254, 2345, 1087, 1066, 8219, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 5508, 1069, 1054, 1232, 13000, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 9690, 14482, 2526, 9060, 5259, 1106, 10733, 4134, 18854, 6436, 14, 1442, 6101, 3406, 4969, 15, 41, 2206, 1138, 2140, 84, 1117, 7214, 14870, 9439, 14, 1442, 4969, 620, 20580, 10684, 19, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6642, 1197, 2650, 1232, 2082, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 675, 7022, 1232, 675, 1138, 2140, 84, 1117, 5422, 1581, 1560, 2895, 6235, 8, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 675, 13804, 5998, 1550, 4852, 1232, 675, 1163, 16260, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6168, 1232, 6916, 5777, 83, 11164, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 2605, 17119, 1232, 30043, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 1062, 1888, 1232, 16343, 1005, 18188, 1013, 1362, 675, 2082, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 16749, 6636, 1232, 11918, 85, 1009, 17417, 1551, 8189, 1632, 1066, 11918, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 3619, 7317, 1232, 3006, 2621, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 6519, 1021, 1348, 1232, 675, 14042, 5072, 19859, 1009, 8039, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 7625, 1346, 4210, 21, 3487, 1232, 1799, 0, 5422, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 27152, 22767, 1544, 1232, 2082, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 18571, 1303, 1232, 675, 1144, 6817, 6112, 24123, 19, 1581, 1560, 2895, 6235, 8, 1433, 9119, 2895, 27959, 8, 1152, 28719, 9060, 57, 10252, 10771, 1433, 99, 3436, 5259, 1138, 2140, 84, 1117, 7214, 14870, 9439, 1096, 1044, 4346, 3467, 1009, 17543, 11073, 1114, 1641, 1009, 1138, 2140, 84, 13335, 1163, 1314, 1126, 4573, 675, 1048, 6915, 5474, 1006, 1142, 14927, 8219, 5801, 3436, 4346, 1195, 11606, 1054, 13000, 1043, 1026, 1720, 1009, 5259, 1106, 10733, 4134, 18854, 6436, 1005, 10602, 3337, 2793, 3201, 1159, 2034, 4736, 1106, 10733, 1118, 3865, 1049, 1235, 21361, 8341, 5024, 3867, 2280, 79, 3858, 1026, 1428, 3765, 11277, 1068, 1048, 1026, 4346, 2467, 1993, 1006, 1101, 0, 4831, 9969, 1195, 1026, 6871, 1420, 2483, 16717, 2431, 1087, 10368, 1145, 1658, 2323, 1060, 20637, 11865, 8221, 2400, 3475, 1006, 1058, 7726, 13774, 1138, 2140, 84, 13335, 5966, 1048, 14704, 1675, 1557, 14636, 1005, 4108, 1114, 20637, 12041, 19, 4829, 11385, 1975, 1068, 1006, 1083, 0, 8740, 1106, 1986, 9303, 1439, 1371, 6635, 1009, 1044, 2417, 7662, 1118, 9941, 1024, 2339, 1924, 1019, 3691, 80, 1052, 1005, 20111, 23423, 1377, 1776, 22242, 1187, 18026, 1187, 25997, 1026, 2312, 10440, 5404, 1118, 8900, 1118, 1422, 20768, 675, 11014, 2921, 4180, 1006, 1641, 1009, 1138, 2140, 84, 1117, 6706, 1006, 7813, 1013, 7344, 1060, 2759, 1049, 6158, 10213, 5339, 1026, 4758, 1049, 27513, 1054, 1138, 2140, 84, 13335, 2225, 1412, 1026, 5259, 1138, 2140, 84, 1117, 7214, 14870, 9439, 9866, 13, 1048, 5857, 1006, 2225, 1130, 1371, 1043, 1026, 1106, 10733, 4134, 18854, 2673, 1054, 1675, 1009, 9647, 1009, 2026, 3162, 8974, 1463, 2898, 1026, 1062, 2338, 8309, 1113, 7851, 30912, 6448, 18738, 1118, 20637, 14526, 5664, 1887, 2786, 17588, 1242, 5, 5073, 620, 12594, 32, 2786, 41, 1606, 23222, 26041, 1479, 25156, 3350, 1114, 2750, 4415, 1009, 4440, 9660, 3193, 30772, 1009, 27513, 1060, 4573, 1, 1207, 2304, 95, 18006, 25355, 18, 1207, 2304, 95, 91, 13048, 10243, 1206, 1344, 16864, 153, 5798, 12789, 4932, 6004, 1706, 88, 15, 675, 1096, 1094, 1641, 1054, 14297, 1022, 21558, 1072, 16509, 1060, 5310, 6439, 4180, 1060, 7824, 11871, 4223, 4566, 1207, 2304, 95, 18006, 25355, 1195, 18936, 1159, 4799, 1049, 5731, 1060, 7569, 1049, 7273, 1049, 2293, 1156, 2903, 20, 2494, 6095, 7475, 1026, 1622, 5046, 1054, 10289, 2334, 1318, 6303, 9526, 1006, 2751, 2068, 1009, 1235, 3603, 1322, 14297, 1022, 1563, 6789, 1581, 1802, 1138, 2751, 11852, 1271, 9109, 1060, 7824, 11871, 4223, 1253, 1054, 2220, 14297, 1022, 1563, 1516, 1026, 17553, 1060, 7569, 1049, 7273, 1049, 2293, 4790, 1803, 5819, 1207, 2304, 95, 18006, 25355, 20200, 1043, 1044, 1807, 11064, 20188, 1005, 1094, 3838, 27964, 24160, 2494, 4180, 1006, 1641, 1195, 3806, 1009, 3047, 26661, 11696, 1138, 6377, 27057, 1005, 1124, 28767, 24714, 7893, 1034, 7726, 1026, 2386, 1009, 4790, 1803, 1068, 12529, 27544, 1009, 26661, 1420, 3942, 2738, 1060, 14619, 1076, 20627, 1882, 18, 1207, 2304, 95, 18006, 25355, 1195, 1026, 3810, 2269, 1049, 7273, 1049, 2293, 1156, 2903, 1006, 1178, 23103, 2309, 9813, 18426, 1072, 1852, 1009, 3113, 1009, 9856, 2567, 1482, 3484, 1233, 7442, 1009, 1044, 31515, 28975, 10602, 10909, 1026, 6377, 27057, 19033, 1026, 7273, 1049, 2293, 1156, 2903, 1054, 10565, 2081, 12015, 1048, 14704, 1495, 8931, 2081, 1511, 1006, 2413, 1195, 8757, 12079, 1233, 5310, 1294, 4732, 1049, 16426, 1009, 1764, 19579, 10774, 1006, 20283, 1060, 25457, 17930, 1322, 1006, 10909, 1195, 9897, 1094, 2360, 1641, 1006, 1799, 2718, 1213, 3184, 1060, 21788, 1048, 3475, 1006, 1058, 7726, 1159, 1982, 1038, 1253, 1206, 3492, 31575, 1253, 675, 675, 675, 25538, 1072, 7273, 1049, 2293, 1156, 2903, 1, 5826, 26342, 5524, 1327, 1094, 4671, 2531, 1009, 16224, 5127, 11677, 3441, 1278, 9839, 1114, 9097, 1679, 1060, 2531, 1062, 1975, 4387, 7830, 1324, 1681, 21629, 2152, 1722, 1189, 24082, 1005, 4796, 1809, 1051, 1097, 1017, 3662, 1309, 1755, 83, 1271, 14757, 1614, 1492, 1005, 2350, 2624, 2691, 5281, 20090, 1392, 2893, 25063, 1467, 2531, 18289, 1694, 1009, 3379, 1037, 93, 5221, 5631, 1184, 1009, 7780, 5715, 7256, 9784, 1054, 2252, 1124, 5852, 1049, 18326, 28927, 13759, 1482, 4788, 1657, 10486, 5715, 1327, 9673, 1009, 2969, 8416, 1233, 3836, 1049, 3826, 1005, 3819, 1325, 3863, 1114, 18104, 1482, 21481, 1324, 28329, 77, 2215, 2435, 1096, 8183, 11997, 1054, 30218, 4807, 1049, 4796, 7081, 1725, 1221, 1144, 3930, 5581, 1093, 3313, 4755, 2672, 5, 6320, 24314, 12692, 5, 5495, 24037, 2689, 11476, 1107, 1665, 5, 21604, 24037, 1062, 1843, 10589, 1174, 1958, 13035, 3845, 21629, 1574, 28347, 1104, 1631, 2262, 13554, 11185, 5826, 26342, 5524, 4139, 28054, 7429, 1578, 4160, 1308, 5495, 21629, 5826, 26342, 24082, 4139, 28054, 7429, 1578, 4160, 2548, 13568, 1046, 27657, 1009, 5127, 11677, 1, 5542, 27384, 1195, 1044, 6159, 4866, 2274, 10165, 1054, 1101, 1009, 3049, 1009, 1578, 5988, 5682, 23601, 27384, 5810, 1054, 1574, 1045, 90, 5254, 18, 7598, 1079, 73, 28093, 13723, 4037, 26013, 2200, 9241, 1114, 6074, 3578, 1187, 1106, 169, 26350, 1005, 1318, 1114, 8020, 3578, 19926, 2200, 18439, 11409, 7114, 1054, 1094, 2700, 1009, 4533, 20, 1482, 26113, 1264, 2845, 1006, 4524, 1054, 4533, 2080, 1010, 17341, 3818, 2310, 3133, 3052, 1049, 4037, 5546, 22728, 1009, 6450, 1797, 20944, 29902, 6577, 1009, 1574, 1045, 90, 5254, 1, 6891, 7980, 8201, 1009, 23031, 1400, 1184, 3201, 1159, 6891, 7980, 1009, 31757, 1206, 1657, 6891, 7980, 19344, 1009, 6850, 1487, 1009, 3042, 1009, 2879, 5463, 1096, 1044, 4472, 90, 12136, 1348, 1005, 18408, 12131, 1048, 21476, 1159, 8486, 1206, 22450, 7381, 17102, 4530, 5481, 82, 5531, 2646, 13958, 7210, 7980, 1666, 3205, 1890, 2693, 1224, 14382, 1072, 2457, 1365, 1132, 1646, 1009, 18653, 1005, 2454, 3006, 1424, 1026, 22108, 1078, 2212, 6368, 1026, 3848, 21443, 1009, 14603, 3313, 3643, 5092, 13958, 7210, 7980, 1318, 10083, 1357, 6974, 6164, 14432, 3336, 1482, 27688, 6891, 7980, 6580, 1187, 3945, 17941, 9628, 1054, 1048, 1026, 1561, 4857, 1006, 9236, 1009, 5638, 20, 10662, 4666, 8552, 1048, 1195, 4949, 1054, 1764, 4989, 6891, 7980, 10083, 1657, 1114, 4744, 1717, 1026, 24741, 1118, 1307, 15234, 10047, 8795, 1257, 5698, 1009, 1058, 28594, 18, 6891, 7980, 3765, 2738, 1006, 3560, 1159, 3798, 8341, 31300, 1006, 2323, 1049, 15097, 1620, 1463, 8862, 1009, 24157, 1005, 4064, 1620, 1006, 11034, 1159, 8795, 1060, 2759, 2751, 1054, 14719, 8301, 1014, 26872, 15, 1005, 11865, 10047, 11237, 1009, 3246, 5868, 15203, 7062, 1213, 2790, 1009, 24655, 14464, 1072, 2457, 1571, 7918, 1026, 3848, 21443, 8152, 1901, 29248, 6849, 1365, 6911, 1005, 5855, 1005, 1054, 11057, 10083, 1159, 11237, 1009, 3246, 1009, 675, 12561, 18, 7687, 1114, 6974, 1561, 2469, 675, 1005, 1054, 3825, 25385, 3942, 2457, 7687, 1365, 4265, 1005, 8683, 1213, 2790, 1049, 2276, 8795, 1205, 12404, 14229, 28130, 17095, 17102, 4530, 10559, 3643, 6164, 14432, 1145, 5, 3125, 16620, 17941, 1577, 32, 18653, 5481, 82, 5531, 2646, 5, 3848, 21443, 32, 14603, 17102, 11237, 1009, 3246, 16883, 7551, 76, 2560, 5, 3848, 21443, 32, 8379, 3296, 2310, 1257, 18982, 1060, 1641, 1049, 2293, 1009, 3030, 5427, 1049, 15097, 13450, 5259, 9514, 1060, 6974, 6164, 1009, 4718, 19183, 1049, 15097, 13450, 5259, 19183, 1009, 3246, 1049, 2293, 1009, 3030, 2503, 79, 1602, 1452, 1049, 6120, 1009, 2960, 7225, 1049, 12938, 616, 2503, 79, 1602, 1452, 1049, 6707, 5259, 13146, 9623, 616, 1, 8831, 8529, 1096, 1044, 4796, 1009, 15565, 1060, 2531, 2422, 1075, 5524, 6603, 4496, 5715, 1327, 30207, 27694, 5607, 8529, 3073, 15211, 6538, 10640, 5607, 8529, 7828, 4544, 73, 11231, 12358, 1024, 1075, 12456, 22499, 1009, 15565, 1, 31546, 1014, 4670, 1042, 17466, 1009, 3049, 1009, 5614, 24, 1175, 1307, 1009, 3403, 1009, 2226, 5056, 1195, 1044, 3092, 7719, 1048, 9241, 1072, 20823, 7790, 1018, 4242, 1014, 1890, 1006, 6074, 3578, 19926, 3126, 24174, 1905, 1043, 1006, 4934, 1009, 22704, 1060, 4934, 1009, 9754, 1043, 8943, 3035, 1009, 11369, 2474, 17915, 1066, 2765, 14526, 1330, 1010, 10991, 1257, 1257, 1257, 1257, 12358, 10106, 1060, 8020, 3578, 3747, 17483, 24519, 11427, 10106, 1060, 6074, 3578, 3747, 17483, 24519, 1308, 14326, 24447, 2650, 1060, 4934, 1009, 22704, 1060, 4934, 1009, 9754, 20624, 24447, 2650, 1060, 4934, 23389, 7537, 1054, 8219, 3564, 1051, 4893, 1060, 6926, 12789, 25624, 1767, 6577, 1009, 4669, 1131, 12708, 1, 1562, 98, 26761, 30370, 1011, 2057, 86, 27444, 2895, 17291, 1011, 2057, 3096, 1139, 1253, 2895, 22, 8, 10891, 9119, 32, 11774, 26452, 10610, 9739, 23, 6309, 5348, 16358, 33, 27304, 3498, 4797, 32, 4332, 11, 11050, 30987, 30704, 17291, 1011, 2057, 86, 27444, 2895, 22, 8, 675, 15223, 31076, 32, 1878, 33, 27304, 3498, 4797, 32, 21937, 3265, 33, 7491, 32, 20759, 1459 ]

[ 1009, 3882, 1170, 1005, 2778, 1485, 1229, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 1940, 1958, 18630, 1009, 1683, 2442, 1383, 4418, 13087, 1337, 1156, 1383, 4418, 13087, 1337, 3801, 1467, 1076, 1060, 31273, 9945, 12852, 26750, 3064, 4672, 1479, 23992, 1049, 17736, 1303, 8450, 1028, 0, 1307, 9521, 1479, 1062, 1878, 29603, 1005, 26795, 11068, 8604, 8204, 1005, 6913, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 29, 9521, 1479, 3292, 24718, 1009, 2490, 1068, 10574, 4678, 1009, 2236, 19556, 1233, 2832, 1342, 1114, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 3482, 4607, 9945, 32, 1984, 1009, 3353, 1009, 4229, 7358, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 16299, 1782, 1049, 2677, 5367, 6994, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 22692, 1009, 3882, 1170, 1005, 2778, 9962, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 1383, 4418, 13087, 1337, 1083, 1383, 4418, 13087, 1337, 1101, 1467, 1076, 1984, 10993, 9521, 1691, 1040, 1017, 1654, 1009, 3015, 3393, 10888, 1439, 13773, 1121, 1009, 3015, 3393, 10222, 1182, 17572, 1060, 31273, 9945, 1479, 1675, 19735, 9521, 1467, 1076, 1009, 1587, 1182, 17572, 1060, 31273, 9945, 1479, 1675, 19735, 9521, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1422, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1054, 4081, 1009, 10482, 1060, 7527, 2094, 13282, 1233, 14223, 1009, 3140, 1009, 25843, 1005, 5110, 15289, 12552, 1011, 4607, 1009, 3282, 1009, 2490, 1009, 2380, 17797, 1009, 5110, 4345, 1048, 7520, 13194, 1281, 1132, 4496, 18848, 1980, 1725, 1391, 32, 24739, 2380, 1009, 9112, 18900, 2510, 1126, 5351, 24737, 5954, 28144, 4345, 1005, 20680, 8686, 33, 23914, 2380, 1009, 1287, 4525, 5266, 1041, 6481, 5110, 1009, 12211, 1005, 15320, 1027, 33, 31961, 2380, 1009, 11139, 94, 1024, 1174, 1069, 33, 1004, 15, 2380, 1009, 12735, 33, 20746, 2380, 1009, 3603, 10648, 33, 1033, 15, 2380, 1009, 19824, 33, 1005, 1086, 15, 2380, 1009, 26867, 17141, 18, 1068, 1006, 1134, 20917, 5167, 7358, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1799, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1114, 14223, 1009, 3140, 11195, 1009, 11204, 6451, 1759, 4607, 9945, 32, 3295, 1009, 3353, 1009, 4229, 7358, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 16299, 1782, 1049, 2677, 5367, 6994, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 22692, 1009, 3882, 1170, 1005, 2778, 9962, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 3996, 1104, 1899, 1112, 1797, 3847, 1303, 8450, 1028, 0, 1101, 9521, 1479, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1006, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 626, 15208, 1182, 17572, 1060, 31273, 9945, 32, 2475, 1009, 3353, 1009, 4229, 3996, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3229, 15, 1479, 11794, 1304, 1009, 8750, 5735, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 19552, 1897, 1479, 10632, 5881, 2393, 13411, 4071, 1467, 1076, 1060, 31273, 9945, 1479, 1487, 2135, 13690, 21, 4229, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1844, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1054, 8716, 2872, 1189, 8194, 3225, 1068, 1132, 7471, 1048, 18475, 1006, 13978, 3092, 1060, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 3482, 4607, 9945, 32, 2595, 1009, 3383, 1009, 4229, 3996, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3907, 15, 1479, 11794, 1304, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 1028, 0, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 22692, 1009, 3882, 1170, 1005, 2778, 1485, 1229, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 1383, 4418, 13087, 1337, 1156, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1487, 9521, 1479, 24739, 16867, 1009, 1307, 4700, 4519, 21780, 1361, 1005, 2279, 1893, 15, 29709, 1009, 2490, 1049, 1614, 1070, 6002, 1344, 14880, 1248, 10709, 13168, 13666, 3853, 13903, 1234, 18012, 4421, 5362, 6075, 1835, 1029, 7388, 1128, 32, 11774, 8741, 3990, 1187, 13374, 1005, 9017, 1009, 4336, 1060, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 33, 23914, 16867, 1271, 29709, 1009, 7794, 2983, 1043, 5875, 12096, 21134, 1118, 1083, 14278, 15, 1901, 2149, 17689, 15, 12186, 1009, 2490, 1205, 41, 6996, 2393, 13286, 1675, 30313, 1068, 1205, 5763, 28013, 43, 1675, 1118, 8627, 33, 1005, 1675, 11499, 12830, 29709, 1009, 2490, 1205, 51, 61, 2053, 43, 1205, 5763, 28013, 43, 1675, 30313, 1068, 1083, 14278, 15, 22161, 3929, 31961, 16867, 1271, 29709, 1187, 9292, 17826, 89, 1228, 18758, 6949, 79, 52, 9533, 1028, 3352, 20235, 10695, 1005, 5875, 18, 1356, 3041, 1009, 1083, 14278, 15, 1901, 8387, 13046, 12830, 6949, 1122, 1660, 7780, 41, 1228, 18758, 21014, 1108, 15497, 143, 27, 6949, 1145, 1013, 23772, 1144, 3929, 1101, 13046, 12830, 6949, 1122, 1660, 4110, 1062, 1228, 18758, 21014, 1108, 15497, 143, 27, 6949, 1145, 1013, 23772, 1144, 77, 3929, 1083, 14278, 15, 6949, 1423, 1029, 95, 16241, 1360, 42, 15497, 143, 27, 6949, 1145, 1013, 2778, 11691, 2541, 63, 88, 3929, 1004, 15, 11718, 1009, 1083, 17689, 15, 12186, 1062, 2870, 9284, 11018, 39, 11923, 1839, 3853, 13903, 23772, 12486, 2646, 3482, 4607, 9945, 32, 3404, 1009, 2436, 1009, 4229, 3996, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 11794, 1304, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1307, 9521, 1479, 17730, 2583, 1009, 2451, 1206, 8761, 9176, 14853, 1114, 12633, 2189, 1206, 1460, 29603, 1009, 3140, 1009, 5407, 8828, 14240, 7733, 1009, 7392, 5425, 2290, 3609, 24643, 1127, 1629, 4583, 1005, 8130, 3951, 1043, 3790, 10303, 1005, 4618, 1009, 9774, 30582, 1009, 3140, 1009, 6446, 1005, 3140, 1009, 20958, 1060, 15631, 30582, 1009, 3284, 1005, 1734, 3140, 1009, 4734, 1114, 5353, 1068, 1006, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 3482, 4607, 9945, 32, 1578, 1009, 3149, 1009, 4229, 3996, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 11794, 1304, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 1383, 4418, 13087, 1337, 1156, 1383, 4418, 13087, 1337, 3801, 3996, 1104, 1899, 1112, 1797, 3847, 1303, 8450, 1144, 117, 1083, 9521, 1479, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1233, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 4324, 1068, 1132, 4203, 1009, 17765, 1049, 1901, 6509, 1343, 4229, 1797, 3847, 1303, 8450, 1144, 117, 1083, 9521, 1479, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1233, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 4324, 1068, 1132, 4203, 1009, 17765, 1049, 1901, 6509, 1343, 4229, 10491, 5765, 32, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1233, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 4324, 1068, 1132, 4203, 1009, 17765, 1049, 1901, 6509, 1343, 4229, 1759, 4607, 9945, 32, 2475, 1009, 3403, 1009, 4229, 3996, 16680, 1009, 2738, 32, 1844, 11154, 1498, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 16299, 1204, 1049, 2677, 5367, 6994, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 6834, 1060, 22692, 1009, 3882, 1170, 1005, 2778, 9962, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1101, 9521, 1479, 11874, 1009, 2451, 14853, 1054, 3140, 1009, 4941, 1009, 5353, 8690, 1068, 7461, 1009, 5979, 1009, 15631, 27257, 2287, 1726, 3638, 8169, 1392, 1005, 23853, 1060, 1134, 20917, 5167, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1101, 9521, 1479, 11874, 1009, 2451, 14853, 1054, 3140, 1009, 4941, 1009, 5353, 8690, 1068, 7461, 1009, 5979, 1009, 15631, 27257, 2287, 1726, 3638, 8169, 1392, 1005, 23853, 1060, 1134, 20917, 5167, 1759, 4607, 9945, 32, 1799, 1009, 3403, 1009, 4229, 3996, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3229, 15, 1479, 7333, 1009, 8750, 1383, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 1404, 31, 2600, 3876, 30, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1083, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1054, 14223, 1009, 3140, 1009, 25556, 2983, 1009, 3905, 19919, 10491, 5765, 32, 17730, 2583, 1009, 2451, 14853, 1054, 14223, 1009, 3140, 1009, 25556, 2983, 1009, 3905, 19919, 1049, 31032, 1106, 11711, 96, 1005, 18055, 1187, 9996, 1049, 31032, 1180, 7913, 1043, 17700, 1009, 4786, 1009, 17994, 5850, 1005, 6486, 1068, 1006, 6477, 1009, 11992, 1005, 8423, 1009, 12297, 1005, 3905, 28446, 2966, 1935, 18426, 1475, 20065, 8554, 1008, 2787, 2106, 5086, 1016, 1005, 1030, 6837, 1060, 1134, 20917, 5167, 3482, 4607, 9945, 32, 1422, 1009, 3353, 1009, 4229, 7358, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3229, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3882, 1170, 1005, 2778, 1485, 1229, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 1940, 1958, 18630, 1009, 1683, 2442, 1383, 4418, 13087, 1337, 1156, 1383, 4418, 13087, 1337, 3801, 1467, 1076, 1060, 31273, 9945, 12852, 26750, 3064, 4672, 1479, 23992, 1049, 17736, 1303, 8450, 1028, 0, 1307, 9521, 1479, 1062, 1878, 29603, 1005, 26795, 11068, 8604, 8204, 1005, 6913, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 29, 9521, 1479, 3292, 24718, 1009, 2490, 1068, 10574, 4678, 1009, 2236, 19556, 1233, 2832, 1342, 1114, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 3482, 4607, 9945, 32, 1984, 1009, 3353, 1009, 4229, 7358, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 16299, 1782, 1049, 2677, 5367, 6994, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 22692, 1009, 3882, 1170, 1005, 2778, 9962, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 1383, 4418, 13087, 1337, 1083, 1383, 4418, 13087, 1337, 1101, 1467, 1076, 1984, 10993, 9521, 1691, 1040, 1017, 1654, 1009, 3015, 3393, 10888, 1439, 13773, 1121, 1009, 3015, 3393, 10222, 1182, 17572, 1060, 31273, 9945, 1479, 1675, 19735, 9521, 1467, 1076, 1009, 1587, 1182, 17572, 1060, 31273, 9945, 1479, 1675, 19735, 9521, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1422, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1054, 4081, 1009, 10482, 1060, 7527, 2094, 13282, 1233, 14223, 1009, 3140, 1009, 25843, 1005, 5110, 15289, 12552, 1011, 4607, 1009, 3282, 1009, 2490, 1009, 2380, 17797, 1009, 5110, 4345, 1048, 7520, 13194, 1281, 1132, 4496, 18848, 1980, 1725, 1391, 32, 24739, 2380, 1009, 9112, 18900, 2510, 1126, 5351, 24737, 5954, 28144, 4345, 1005, 20680, 8686, 33, 23914, 2380, 1009, 1287, 4525, 5266, 1041, 6481, 5110, 1009, 12211, 1005, 15320, 1027, 33, 31961, 2380, 1009, 11139, 94, 1024, 1174, 1069, 33, 1004, 15, 2380, 1009, 12735, 33, 20746, 2380, 1009, 3603, 10648, 33, 1033, 15, 2380, 1009, 19824, 33, 1005, 1086, 15, 2380, 1009, 26867, 17141, 18, 1068, 1006, 1134, 20917, 5167, 7358, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1799, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1114, 14223, 1009, 3140, 11195, 1009, 11204, 6451, 1759, 4607, 9945, 32, 3295, 1009, 3353, 1009, 4229, 7358, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 16299, 1782, 1049, 2677, 5367, 6994, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 22692, 1009, 3882, 1170, 1005, 2778, 9962, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 3996, 1104, 1899, 1112, 1797, 3847, 1303, 8450, 1028, 0, 1101, 9521, 1479, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1006, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 626, 15208, 1182, 17572, 1060, 31273, 9945, 32, 2475, 1009, 3353, 1009, 4229, 3996, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3229, 15, 1479, 11794, 1304, 1009, 8750, 5735, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 19552, 1897, 1479, 10632, 5881, 2393, 13411, 4071, 1467, 1076, 1060, 31273, 9945, 1479, 1487, 2135, 13690, 21, 4229, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1844, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1054, 8716, 2872, 1189, 8194, 3225, 1068, 1132, 7471, 1048, 18475, 1006, 13978, 3092, 1060, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 3482, 4607, 9945, 32, 2595, 1009, 3383, 1009, 4229, 3996, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3907, 15, 1479, 11794, 1304, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 1028, 0, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 22692, 1009, 3882, 1170, 1005, 2778, 1485, 1229, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 1383, 4418, 13087, 1337, 1156, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1487, 9521, 1479, 24739, 16867, 1009, 1307, 4700, 4519, 21780, 1361, 1005, 2279, 1893, 15, 29709, 1009, 2490, 1049, 1614, 1070, 6002, 1344, 14880, 1248, 10709, 13168, 13666, 3853, 13903, 1234, 18012, 4421, 5362, 6075, 1835, 1029, 7388, 1128, 32, 11774, 8741, 3990, 1187, 13374, 1005, 9017, 1009, 4336, 1060, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 33, 23914, 16867, 1271, 29709, 1009, 7794, 2983, 1043, 5875, 12096, 21134, 1118, 1083, 14278, 15, 1901, 2149, 17689, 15, 12186, 1009, 2490, 1205, 41, 6996, 2393, 13286, 1675, 30313, 1068, 1205, 5763, 28013, 43, 1675, 1118, 8627, 33, 1005, 1675, 11499, 12830, 29709, 1009, 2490, 1205, 51, 61, 2053, 43, 1205, 5763, 28013, 43, 1675, 30313, 1068, 1083, 14278, 15, 22161, 3929, 31961, 16867, 1271, 29709, 1187, 9292, 17826, 89, 1228, 18758, 6949, 79, 52, 9533, 1028, 3352, 20235, 10695, 1005, 5875, 18, 1356, 3041, 1009, 1083, 14278, 15, 1901, 8387, 13046, 12830, 6949, 1122, 1660, 7780, 41, 1228, 18758, 21014, 1108, 15497, 143, 27, 6949, 1145, 1013, 23772, 1144, 3929, 1101, 13046, 12830, 6949, 1122, 1660, 4110, 1062, 1228, 18758, 21014, 1108, 15497, 143, 27, 6949, 1145, 1013, 23772, 1144, 77, 3929, 1083, 14278, 15, 6949, 1423, 1029, 95, 16241, 1360, 42, 15497, 143, 27, 6949, 1145, 1013, 2778, 11691, 2541, 63, 88, 3929, 1004, 15, 11718, 1009, 1083, 17689, 15, 12186, 1062, 2870, 9284, 11018, 39, 11923, 1839, 3853, 13903, 23772, 12486, 2646, 3482, 4607, 9945, 32, 3404, 1009, 2436, 1009, 4229, 3996, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 11794, 1304, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1307, 9521, 1479, 17730, 2583, 1009, 2451, 1206, 8761, 9176, 14853, 1114, 12633, 2189, 1206, 1460, 29603, 1009, 3140, 1009, 5407, 8828, 14240, 7733, 1009, 7392, 5425, 2290, 3609, 24643, 1127, 1629, 4583, 1005, 8130, 3951, 1043, 3790, 10303, 1005, 4618, 1009, 9774, 30582, 1009, 3140, 1009, 6446, 1005, 3140, 1009, 20958, 1060, 15631, 30582, 1009, 3284, 1005, 1734, 3140, 1009, 4734, 1114, 5353, 1068, 1006, 8438, 1009, 6782, 1009, 1764, 15397, 1049, 8308, 3482, 4607, 9945, 32, 1578, 1009, 3149, 1009, 4229, 3996, 16680, 1009, 2738, 32, 1844, 11154, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 11794, 1304, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 11532, 13013, 29923, 9154, 7515, 12149, 7956, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 19552, 1897, 1383, 4418, 13087, 1337, 1156, 1383, 4418, 13087, 1337, 3801, 3996, 1104, 1899, 1112, 1797, 3847, 1303, 8450, 1144, 117, 1083, 9521, 1479, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1233, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 4324, 1068, 1132, 4203, 1009, 17765, 1049, 1901, 6509, 1343, 4229, 1797, 3847, 1303, 8450, 1144, 117, 1083, 9521, 1479, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1233, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 4324, 1068, 1132, 4203, 1009, 17765, 1049, 1901, 6509, 1343, 4229, 10491, 5765, 32, 3422, 1017, 1665, 1009, 3292, 24718, 1009, 22172, 1233, 3479, 5844, 3335, 1305, 9197, 2488, 2989, 1100, 1009, 3182, 2999, 5062, 1072, 24005, 1060, 1134, 20917, 5167, 18, 1233, 3271, 15033, 1009, 3282, 9672, 1043, 2292, 90, 2571, 1072, 17700, 1009, 6648, 1054, 2373, 44, 4996, 19663, 3084, 89, 4324, 1068, 1132, 4203, 1009, 17765, 1049, 1901, 6509, 1343, 4229, 1759, 4607, 9945, 32, 2475, 1009, 3403, 1009, 4229, 3996, 16680, 1009, 2738, 32, 1844, 11154, 1498, 12787, 1167, 3229, 1005, 15787, 4686, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149, 29, 2704, 19, 5562, 2041, 16299, 1204, 1049, 2677, 5367, 6994, 1060, 1134, 20917, 5167, 1833, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 6834, 1060, 22692, 1009, 3882, 1170, 1005, 2778, 9962, 1356, 8079, 25960, 9216, 3851, 3541, 3876, 30, 2600, 3876, 31, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1101, 9521, 1479, 11874, 1009, 2451, 14853, 1054, 3140, 1009, 4941, 1009, 5353, 8690, 1068, 7461, 1009, 5979, 1009, 15631, 27257, 2287, 1726, 3638, 8169, 1392, 1005, 23853, 1060, 1134, 20917, 5167, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1101, 9521, 1479, 11874, 1009, 2451, 14853, 1054, 3140, 1009, 4941, 1009, 5353, 8690, 1068, 7461, 1009, 5979, 1009, 15631, 27257, 2287, 1726, 3638, 8169, 1392, 1005, 23853, 1060, 1134, 20917, 5167, 1759, 4607, 9945, 32, 1799, 1009, 3403, 1009, 4229, 3996, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3229, 15, 1479, 7333, 1009, 8750, 1383, 4418, 13087, 2130, 32, 8737, 1009, 3882, 4525, 30817, 1654, 1005, 12486, 1041, 6481, 1356, 8079, 25960, 9216, 3851, 3541, 1404, 31, 2600, 3876, 30, 1206, 6455, 1655, 14030, 18822, 5134, 7113, 1271, 1799, 11154, 1726, 23159, 1005, 1271, 24886, 1726, 21062, 1833, 74, 1897, 3996, 1104, 1899, 1112, 1576, 2300, 1027, 3682, 2774, 1028, 0, 1083, 9521, 1479, 17730, 2583, 1009, 2451, 14853, 1054, 14223, 1009, 3140, 1009, 25556, 2983, 1009, 3905, 19919, 10491, 5765, 32, 17730, 2583, 1009, 2451, 14853, 1054, 14223, 1009, 3140, 1009, 25556, 2983, 1009, 3905, 19919, 1049, 31032, 1106, 11711, 96, 1005, 18055, 1187, 9996, 1049, 31032, 1180, 7913, 1043, 17700, 1009, 4786, 1009, 17994, 5850, 1005, 6486, 1068, 1006, 6477, 1009, 11992, 1005, 8423, 1009, 12297, 1005, 3905, 28446, 2966, 1935, 18426, 1475, 20065, 8554, 1008, 2787, 2106, 5086, 1016, 1005, 1030, 6837, 1060, 1134, 20917, 5167, 3482, 4607, 9945, 32, 1422, 1009, 3353, 1009, 4229, 7358, 16680, 1009, 2738, 32, 21881, 13825, 4196, 3304, 3229, 15, 1479, 7333, 1009, 8750, 3008, 3369, 32, 7334, 1180, 7913, 12336, 2400, 8527, 1049, 1570, 18, 1764, 15397, 1049, 8308, 21249, 1479, 8149 ]

[ 3538, 1005, 9048, 1094, 4612, 1009, 9930, 31, 12625, 31695, 5200, 15866, 1005, 18020, 27473, 1054, 18054, 27, 17031, 2200, 7023, 1054, 2277, 1114, 17370, 1054, 14495, 1009, 1011, 11842, 1009, 2125, 3328, 1005, 1054, 5512, 1054, 1011, 11842, 1009, 2125, 3328, 18910, 1043, 1578, 3537, 2200, 2521, 1356, 2444, 1094, 1011, 1780, 1009, 2125, 3328, 1054, 1456, 22952, 3538, 9107, 1060, 10946, 1006, 1712, 4951, 8034, 13977, 1060, 17370, 1114, 7475, 1005, 1006, 4886, 1712, 6406, 1060, 2042, 1060, 8372, 3772, 18738, 1009, 4119, 21352, 5868, 2224, 1009, 3353, 1009, 7240, 1344, 1017, 1446, 12132, 4202, 1043, 1132, 14551, 5840, 1054, 1044, 5453, 1009, 2848, 1646, 1005, 3175, 2052, 2978, 2744, 2286, 1675, 1009, 3049, 1009, 7240, 1344, 1017, 1446, 3475, 1026, 8812, 1060, 17370, 1009, 1184, 1187, 3538, 10822, 1727, 1043, 1044, 15511, 1275, 1009, 2125, 3328, 1071, 4332, 15, 8901, 7916, 1118, 1119, 1685, 13755, 1071, 4754, 1565, 1063, 6406, 7023, 1054, 30955, 3538, 1054, 1487, 1009, 3261, 1009, 4152, 15774, 1017, 1446, 7023, 1006, 3337, 1009, 4119, 21352, 1043, 17036, 1009, 12872, 22, 12625, 31695, 5200, 15866, 1005, 4004, 31, 27473, 1054, 1307, 2308, 31, 4686, 1054, 24766, 3538, 3772, 18738, 1009, 4152, 15016, 5868, 1984, 1009, 3049, 1009, 7127, 1344, 1017, 1446, 9793, 1079, 20359, 8461, 1617, 1357, 1984, 0, 13072, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 20, 25516, 2250, 5738, 1114, 4744, 1118, 29007, 8352, 29, 1187, 14551, 5840, 1322, 1026, 28138, 7138, 1095, 1678, 1344, 1017, 1446, 8171, 3295, 3328, 1072, 2666, 1005, 26571, 2252, 1124, 2848, 14495, 1009, 22811, 29310, 3782, 3684, 3765, 9328, 1064, 6290, 13670, 10592, 10822, 1727, 1114, 3337, 1005, 11897, 1044, 2017, 8812, 1060, 7402, 1022, 2275, 1063, 6406, 7023, 1679, 3886, 1072, 3867, 2666, 1187, 14551, 5840, 1717, 1026, 29062, 1082, 1179, 1950, 5840, 2286, 1782, 1009, 3403, 1009, 7230, 1344, 1017, 1446, 3661, 1224, 1944, 5286, 1068, 1026, 17370, 6014, 4134, 2495, 1159, 10832, 1068, 1006, 14213, 16278, 1072, 17370, 6014, 4134, 2495, 12025, 1009, 7230, 18090, 1026, 6821, 16364, 1119, 93, 95, 2344, 1313, 1430, 20, 14351, 9460, 1646, 1005, 2475, 3952, 1009, 10335, 1264, 1058, 4312, 1026, 5512, 4530, 1184, 5485, 1006, 1178, 13294, 1068, 1026, 6014, 4134, 2495, 12025, 1357, 1944, 1472, 2286, 2475, 1009, 12360, 10931, 1068, 1026, 10370, 1446, 1144, 2507, 2640, 1678, 1344, 1017, 1446, 3475, 23971, 75, 17649, 1120, 1072, 2224, 0, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 27488, 2105, 2250, 5738, 1054, 1094, 4744, 1322, 1026, 7365, 11358, 22638, 7174, 1344, 1017, 1446, 4454, 1026, 2666, 1043, 1026, 17123, 25582, 1846, 1009, 4305, 1094, 3971, 1009, 2611, 20820, 1043, 1799, 22947, 13695, 1072, 1831, 8410, 1063, 13799, 7023, 1094, 2700, 1009, 17452, 3538, 10822, 1727, 1043, 1094, 1011, 1780, 1009, 2125, 3328, 1009, 1344, 1017, 1446, 20, 4567, 1009, 6388, 2125, 3538, 1043, 1006, 6821, 1627, 1264, 6192, 1233, 3597, 1054, 3295, 1009, 3261, 1717, 1026, 4833, 9203, 2478, 7545, 1043, 10359, 1009, 6250, 1072, 7939, 1068, 18922, 1026, 17123, 2286, 3939, 1009, 3149, 1009, 7230, 1344, 1017, 1446, 1195, 6738, 9291, 1049, 13098, 22850, 7011, 8487, 11728, 1118, 8900, 1026, 17370, 19079, 1736, 9815, 6904, 1009, 4152, 2541, 2639, 5845, 1132, 31617, 1009, 7230, 1344, 1017, 1446, 9846, 1094, 1215, 1017, 1117, 1072, 31212, 1631, 3282, 12740, 1717, 1026, 25940, 9229, 25651, 1054, 3295, 1009, 2436, 1463, 9107, 1060, 14213, 16278, 20, 1776, 1531, 7715, 1264, 1195, 11892, 1069, 1356, 8330, 1187, 31617, 3772, 18738, 1009, 4210, 16807, 5868, 3727, 1009, 13660, 1054, 1094, 4744, 1322, 1026, 3399, 4516, 12322, 3123, 1678, 1344, 1017, 1446, 26571, 1094, 1011, 1780, 1009, 2125, 3328, 1005, 3475, 1123, 2690, 1528, 17752, 1356, 1844, 0, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 18581, 6841, 1072, 1852, 1009, 3049, 8171, 1044, 1187, 23196, 20248, 1009, 1224, 24102, 1482, 2848, 3538, 1365, 3404, 1005, 3939, 1009, 13660, 1344, 1017, 1446, 26571, 1487, 1009, 9460, 25911, 1010, 1005, 1044, 17810, 1629, 1101, 1009, 3734, 25911, 1010, 1009, 2125, 20768, 1344, 1017, 1446, 6895, 13552, 1054, 14993, 2115, 2940, 2252, 1132, 4234, 25911, 1010, 1054, 4984, 1009, 2992, 1717, 1026, 20412, 4242, 14377, 17772, 1657, 1006, 5994, 1472, 1054, 1224, 3560, 1048, 1264, 2569, 1559, 1009, 1675, 1206, 8976, 1159, 8977, 3427, 2840, 10946, 1264, 9239, 1054, 5884, 3538, 1005, 9048, 1094, 4612, 1009, 11736, 24, 12625, 5142, 25, 5200, 15866, 1005, 4004, 23, 27473, 1054, 25883, 22, 4686, 3772, 18738, 1009, 3973, 15084, 5868, 2182, 1009, 3049, 1009, 6747, 1344, 1017, 1446, 8171, 1204, 3328, 1043, 4234, 1011, 11842, 1009, 2125, 3328, 1054, 1094, 4744, 1009, 23129, 2541, 2337, 1322, 1026, 23912, 10756, 1922, 1916, 1063, 4744, 3765, 1679, 14551, 5840, 1044, 8812, 1009, 2523, 22928, 1986, 3727, 3538, 33, 1857, 6884, 1006, 3337, 1844, 620, 1999, 1482, 2595, 1009, 13660, 1264, 8171, 3295, 3328, 1054, 3939, 4686, 10635, 1049, 3112, 3426, 1054, 1094, 4744, 1118, 25509, 19, 7560, 1322, 1026, 30800, 1073, 1105, 3020, 2286, 1779, 1009, 2992, 1009, 7123, 1344, 1017, 1446, 1195, 5421, 2408, 1043, 1026, 25940, 9229, 25651, 1054, 7160, 1009, 14401, 20627, 1108, 1179, 2196, 3514, 20164, 31156, 1054, 3453, 1005, 1094, 5286, 1009, 1004, 12853, 1060, 1944, 8404, 2286, 1487, 14204, 1294, 14551, 81, 1678, 1264, 9239, 1054, 1307, 5784, 3538, 1005, 13447, 5142, 28, 3452, 12625, 3130, 2708, 30, 5200, 1252, 1400, 1779, 4754, 27473, 1005, 3734, 27, 6989, 1010, 1009, 2712, 1377, 2200, 7023, 1054, 1307, 0, 1054, 1184, 7507, 1009, 1011, 11842, 1009, 1307, 3328, 26657, 30, 2830, 15, 1005, 1054, 1307, 0, 1054, 1184, 1011, 11842, 1009, 1307, 3328, 15497, 3430, 15, 2474, 1108, 23550, 9229, 25651, 4585, 29, 620, 2008, 7375, 1537, 7281, 8731, 1294, 9229, 25651, 1054, 1782, 1009, 6850, 2683, 2940, 1791, 3328, 1005, 2125, 5200, 15866, 1054, 1094, 9348, 1118, 3114, 8352, 24, 1068, 1026, 28399, 78, 26834, 20, 1344, 1017, 1446, 26571, 1101, 9592, 1839, 1011, 11842, 1009, 2125, 3328, 1054, 1456, 1791, 4181, 3538, 2309, 9229, 79, 7174, 1043, 1132, 1791, 3538, 14802, 1054, 26739, 2286, 1799, 1009, 15100, 1264, 8171, 3939, 12625, 1043, 1799, 1009, 1844, 1251, 8381, 1060, 2618, 1009, 2125, 3328, 1054, 1094, 4744, 1009, 2523, 24, 2541, 3665, 1322, 1026, 25388, 8689, 10793, 20324, 1264, 3475, 20359, 1344, 9374, 26657, 31, 4325, 15, 1356, 20030, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 20, 3316, 3757, 5738, 1054, 1984, 1009, 15100, 1318, 1717, 1132, 8689, 7174, 1344, 1017, 1446, 1058, 4312, 1026, 20030, 4530, 1114, 2042, 1060, 17370, 1006, 1663, 30098, 3328, 1054, 1011, 11842, 1009, 2125, 18, 2969, 8348, 1006, 9159, 6014, 3933, 2960, 77, 1434, 9571, 1870, 20359, 4789, 15750, 2976, 12396, 12203, 16102, 1197, 28946, 1005, 12619, 1029, 1062, 8803, 5797, 15774, 1017, 1446, 9121, 1026, 9229, 25651, 1006, 1261, 1094, 4951, 8034, 1009, 2224, 2541, 1463, 2125, 6316, 24874, 1187, 31617, 1068, 4537, 1726, 9107, 1060, 17370, 1009, 15528, 16677, 1857, 26390, 1026, 19951, 14681, 29401, 10040, 1005, 1596, 13685, 1166, 1054, 3251, 3538, 2286, 2224, 1009, 3353, 1009, 7123, 1344, 1017, 1446, 12132, 4202, 1043, 1132, 9229, 79, 10793, 1482, 1675, 1009, 2992, 1009, 6813, 1054, 1094, 4744, 1009, 2523, 23, 2541, 3851, 1322, 1026, 20592, 4669, 13812, 1344, 1017, 1446, 11870, 1079, 1043, 2976, 12396, 1197, 1356, 5512, 2269, 1114, 2919, 1009, 1184, 2125, 3328, 10592, 1060, 3560, 1043, 4004, 3502, 2308, 12539, 2250, 5738, 1264, 26571, 2848, 1011, 11842, 1009, 2125, 3328, 1005, 2569, 1204, 12625, 1054, 1094, 9348, 1118, 30955, 19, 3990, 1068, 1026, 30278, 5401, 5209, 93, 1078, 19157, 9793, 1157, 12396, 1197, 1356, 5512, 2269, 1114, 2919, 1009, 1664, 1132, 5635, 1060, 17370, 1043, 4004, 3502, 29, 2286, 1844, 1009, 3403, 1009, 6813, 1264, 8171, 2595, 3328, 1054, 1094, 4744, 1009, 24977, 9721, 29, 1322, 1026, 28555, 14551, 81, 1916, 3126, 1235, 1831, 2666, 1009, 2595, 3328, 2271, 3186, 1009, 3403, 1009, 18002, 1344, 1017, 1446, 2521, 1779, 10997, 3538, 1365, 1132, 1791, 3538, 1009, 2595, 12625, 17772, 1026, 1712, 22675, 1303, 1365, 3538, 1009, 2595, 3328, 1114, 2042, 1060, 17370, 5044, 9229, 25651, 2470, 1412, 1726, 9107, 1060, 17370, 1054, 6813, 1571, 7035, 1118, 1422, 3541, 1068, 1132, 29401, 10040, 2286, 2595, 1009, 3268, 1009, 6813, 1054, 1094, 4744, 1009, 2523, 28, 2541, 3502, 1322, 1026, 28555, 14551, 81, 1678, 1344, 1017, 1446, 10652, 13227, 2621, 3328, 1114, 3560, 2286, 1307, 14204, 1294, 9229, 79, 7174, 1264, 9239, 1054, 2224, 26, 3538, 1005, 13447, 3130, 3452, 25, 12625, 3939, 23, 5200, 1252, 1400, 19845, 27473, 1005, 7631, 6989, 1010, 1009, 5095, 5682, 1095, 8540, 1006, 28399, 78, 4585, 30, 620, 17816, 15, 5868, 3939, 1009, 3113, 1009, 6813, 1344, 1017, 1446, 1195, 5421, 2408, 1043, 1026, 28399, 78, 26834, 1054, 7160, 1009, 1387, 1087, 9044, 5840, 1005, 2156, 18821, 17781, 1060, 2750, 8404, 1049, 1004, 12853, 20, 1482, 2224, 1009, 2992, 1009, 7267, 1717, 1026, 12014, 16097, 1678, 1344, 1017, 1446, 3475, 20359, 4789, 2461, 1071, 1999, 3989, 4681, 1068, 18051, 1026, 5512, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1060, 17370, 1009, 1664, 1132, 5635, 2286, 1675, 1009, 3353, 1009, 7267, 1026, 8725, 2399, 1020, 1163, 2432, 96, 82, 2401, 17310, 1344, 1017, 1446, 1159, 1751, 1009, 1044, 7387, 1114, 7160, 1009, 14401, 1535, 4190, 13439, 1776, 1531, 7715, 1344, 1017, 1446, 1195, 5421, 2408, 1043, 1026, 25258, 1067, 4074, 3994, 1043, 1180, 1367, 1081, 28946, 1054, 7160, 1009, 22681, 6161, 7429, 1551, 13792, 25766, 5697, 6088, 2359, 1005, 1094, 5342, 1060, 2750, 8404, 1049, 9951, 4828, 1060, 17370, 1009, 16669, 20324, 1264, 1195, 16724, 1069, 2309, 1067, 4074, 3242, 1061, 93, 2363, 4138, 75, 19109, 5840, 24020, 1479, 3682, 1091, 15, 5868, 2971, 1009, 3353, 1009, 7267, 1344, 1017, 1446, 12132, 1044, 5453, 1009, 1044, 1901, 1043, 1026, 3844, 93, 2363, 4138, 75, 19109, 5840, 2286, 1799, 1009, 3261, 1009, 7434, 1054, 1044, 2666, 1054, 1048, 1344, 1017, 1446, 3708, 1026, 4465, 1009, 4686, 3121, 1006, 6821, 5247, 1264, 8171, 3404, 3328, 1005, 26571, 3251, 1011, 11842, 1009, 2125, 12625, 1054, 1094, 9348, 1118, 30230, 19, 7777, 1068, 1026, 10370, 1446, 1144, 2507, 2640, 89, 10583, 1065, 3785, 8102, 7231, 6448, 18738, 5416, 3160, 3451, 21625, 1110, 7851, 1540, 6434, 11381, 2675, 2083, 60, 1236, 4987, 1257, 49, 1017, 1446, 1225, 2125, 28622, 1344, 3451, 16211, 16921, 1375, 1005, 15914, 81, 22393, 620, 2008, 21566, 1664, 1132, 2688, 31753, 17543, 21466, 1114, 1944, 6517, 1060, 1144, 7521, 11945, 1344, 3451, 2359, 9239, 1114, 2828, 9951, 18056, 16921, 1375, 9239, 1114, 2828, 1009, 7698, 3626, 1081, 1005, 15914, 81, 9239, 1114, 2828, 1049, 26775, 18581, 12902, 2955, 9113, 9239, 17543, 1072, 4843, 6571, 1005, 1566, 8171, 21482, 3328, 1054, 1044, 13650, 1138, 3372, 1009, 1344, 1017, 19797, 1344, 1367, 3926, 1096, 18969, 1054, 1073, 27123, 26401, 1377, 1138, 19705, 1009, 1344, 1017, 19797, 1344, 3308, 1344, 1017, 19797, 1096, 1026, 6304, 1009, 17543, 1049, 11631, 93, 1223, 1227, 14231, 1054, 1138, 9786, 20647, 26401, 1377, 5024, 21897, 1344, 7194, 1344, 1017, 1446, 1096, 1094, 24866, 1185, 3013, 1009, 17543, 7926, 1114, 1228, 14732, 39, 15774, 1017, 1446, 1058, 14067, 1043, 4510, 5206, 8461, 1617, 1054, 1782, 1009, 3383, 1009, 15502, 4490, 20711, 18709, 1007, 2231, 95, 13335, 5810, 1054, 1487, 1009, 3049, 1009, 14511, 4490, 7391, 3765, 1233, 3357, 1235, 1831, 12829, 1344, 2095, 94, 13265, 1047, 7452, 1054, 1422, 1009, 3268, 1009, 14793, 5024, 2277, 12829, 13446, 3933, 5810, 1054, 3113, 1779, 1009, 3973, 15774, 1017, 1446, 1225, 1224, 3486, 12205, 1009, 1429, 2485, 3806, 5707, 1425, 1112, 1344, 4518, 1344, 1017, 1446, 1406, 1048, 18954, 1068, 2739, 11855, 31862, 12386, 6997, 2200, 9009, 1094, 3597, 2097, 1836, 1294, 18485, 7174, 1571, 21523, 1079, 1005, 1049, 1079, 1384, 13138, 1068, 3978, 15776, 17670, 1344, 1017, 1446, 31327, 1094, 2360, 2618, 1009, 8637, 3806, 17382, 1014, 3422, 76, 3079, 1248, 1406, 1048, 1096, 5808, 1140, 1233, 1224, 12205, 1344, 49, 44, 1068, 3371, 1124, 3978, 15776, 17670, 1482, 7240, 1264, 7717, 1094, 4600, 10038, 1009, 18394, 1009, 25420, 1054, 12020, 3806, 3793, 2657, 1164, 5209, 29236, 1406, 1114, 1428, 1264, 21523, 71, 25420, 1068, 1049, 1024, 1006, 1783, 1305, 5786, 2526, 1054, 14272, 1377, 1344, 1017, 1446, 1318, 6580, 1049, 2868, 1009, 10363, 1009, 17543, 1305, 15951, 1060, 17370, 1114, 22185, 12661, 1561, 1005, 9259, 3868, 21671, 1187, 2138, 2365, 25978 ]

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

[ 3538, 1005, 9048, 1094, 4612, 1009, 9930, 31, 12625, 31695, 5200, 15866, 1005, 18020, 27473, 1054, 18054, 27, 17031, 2200, 7023, 1054, 2277, 1114, 17370, 1054, 14495, 1009, 1011, 11842, 1009, 2125, 3328, 1005, 1054, 5512, 1054, 1011, 11842, 1009, 2125, 3328, 18910, 1043, 1578, 3537, 2200, 2521, 1356, 2444, 1094, 1011, 1780, 1009, 2125, 3328, 1054, 1456, 22952, 3538, 9107, 1060, 10946, 1006, 1712, 4951, 8034, 13977, 1060, 17370, 1114, 7475, 1005, 1006, 4886, 1712, 6406, 1060, 2042, 1060, 8372, 3772, 18738, 1009, 4119, 21352, 5868, 2224, 1009, 3353, 1009, 7240, 1344, 1017, 1446, 12132, 4202, 1043, 1132, 14551, 5840, 1054, 1044, 5453, 1009, 2848, 1646, 1005, 3175, 2052, 2978, 2744, 2286, 1675, 1009, 3049, 1009, 7240, 1344, 1017, 1446, 3475, 1026, 8812, 1060, 17370, 1009, 1184, 1187, 3538, 10822, 1727, 1043, 1044, 15511, 1275, 1009, 2125, 3328, 1071, 4332, 15, 8901, 7916, 1118, 1119, 1685, 13755, 1071, 4754, 1565, 1063, 6406, 7023, 1054, 30955, 3538, 1054, 1487, 1009, 3261, 1009, 4152, 15774, 1017, 1446, 7023, 1006, 3337, 1009, 4119, 21352, 1043, 17036, 1009, 12872, 22, 12625, 31695, 5200, 15866, 1005, 4004, 31, 27473, 1054, 1307, 2308, 31, 4686, 1054, 24766, 3538, 3772, 18738, 1009, 4152, 15016, 5868, 1984, 1009, 3049, 1009, 7127, 1344, 1017, 1446, 9793, 1079, 20359, 8461, 1617, 1357, 1984, 0, 13072, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 20, 25516, 2250, 5738, 1114, 4744, 1118, 29007, 8352, 29, 1187, 14551, 5840, 1322, 1026, 28138, 7138, 1095, 1678, 1344, 1017, 1446, 8171, 3295, 3328, 1072, 2666, 1005, 26571, 2252, 1124, 2848, 14495, 1009, 22811, 29310, 3782, 3684, 3765, 9328, 1064, 6290, 13670, 10592, 10822, 1727, 1114, 3337, 1005, 11897, 1044, 2017, 8812, 1060, 7402, 1022, 2275, 1063, 6406, 7023, 1679, 3886, 1072, 3867, 2666, 1187, 14551, 5840, 1717, 1026, 29062, 1082, 1179, 1950, 5840, 2286, 1782, 1009, 3403, 1009, 7230, 1344, 1017, 1446, 3661, 1224, 1944, 5286, 1068, 1026, 17370, 6014, 4134, 2495, 1159, 10832, 1068, 1006, 14213, 16278, 1072, 17370, 6014, 4134, 2495, 12025, 1009, 7230, 18090, 1026, 6821, 16364, 1119, 93, 95, 2344, 1313, 1430, 20, 14351, 9460, 1646, 1005, 2475, 3952, 1009, 10335, 1264, 1058, 4312, 1026, 5512, 4530, 1184, 5485, 1006, 1178, 13294, 1068, 1026, 6014, 4134, 2495, 12025, 1357, 1944, 1472, 2286, 2475, 1009, 12360, 10931, 1068, 1026, 10370, 1446, 1144, 2507, 2640, 1678, 1344, 1017, 1446, 3475, 23971, 75, 17649, 1120, 1072, 2224, 0, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 27488, 2105, 2250, 5738, 1054, 1094, 4744, 1322, 1026, 7365, 11358, 22638, 7174, 1344, 1017, 1446, 4454, 1026, 2666, 1043, 1026, 17123, 25582, 1846, 1009, 4305, 1094, 3971, 1009, 2611, 20820, 1043, 1799, 22947, 13695, 1072, 1831, 8410, 1063, 13799, 7023, 1094, 2700, 1009, 17452, 3538, 10822, 1727, 1043, 1094, 1011, 1780, 1009, 2125, 3328, 1009, 1344, 1017, 1446, 20, 4567, 1009, 6388, 2125, 3538, 1043, 1006, 6821, 1627, 1264, 6192, 1233, 3597, 1054, 3295, 1009, 3261, 1717, 1026, 4833, 9203, 2478, 7545, 1043, 10359, 1009, 6250, 1072, 7939, 1068, 18922, 1026, 17123, 2286, 3939, 1009, 3149, 1009, 7230, 1344, 1017, 1446, 1195, 6738, 9291, 1049, 13098, 22850, 7011, 8487, 11728, 1118, 8900, 1026, 17370, 19079, 1736, 9815, 6904, 1009, 4152, 2541, 2639, 5845, 1132, 31617, 1009, 7230, 1344, 1017, 1446, 9846, 1094, 1215, 1017, 1117, 1072, 31212, 1631, 3282, 12740, 1717, 1026, 25940, 9229, 25651, 1054, 3295, 1009, 2436, 1463, 9107, 1060, 14213, 16278, 20, 1776, 1531, 7715, 1264, 1195, 11892, 1069, 1356, 8330, 1187, 31617, 3772, 18738, 1009, 4210, 16807, 5868, 3727, 1009, 13660, 1054, 1094, 4744, 1322, 1026, 3399, 4516, 12322, 3123, 1678, 1344, 1017, 1446, 26571, 1094, 1011, 1780, 1009, 2125, 3328, 1005, 3475, 1123, 2690, 1528, 17752, 1356, 1844, 0, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 18581, 6841, 1072, 1852, 1009, 3049, 8171, 1044, 1187, 23196, 20248, 1009, 1224, 24102, 1482, 2848, 3538, 1365, 3404, 1005, 3939, 1009, 13660, 1344, 1017, 1446, 26571, 1487, 1009, 9460, 25911, 1010, 1005, 1044, 17810, 1629, 1101, 1009, 3734, 25911, 1010, 1009, 2125, 20768, 1344, 1017, 1446, 6895, 13552, 1054, 14993, 2115, 2940, 2252, 1132, 4234, 25911, 1010, 1054, 4984, 1009, 2992, 1717, 1026, 20412, 4242, 14377, 17772, 1657, 1006, 5994, 1472, 1054, 1224, 3560, 1048, 1264, 2569, 1559, 1009, 1675, 1206, 8976, 1159, 8977, 3427, 2840, 10946, 1264, 9239, 1054, 5884, 3538, 1005, 9048, 1094, 4612, 1009, 11736, 24, 12625, 5142, 25, 5200, 15866, 1005, 4004, 23, 27473, 1054, 25883, 22, 4686, 3772, 18738, 1009, 3973, 15084, 5868, 2182, 1009, 3049, 1009, 6747, 1344, 1017, 1446, 8171, 1204, 3328, 1043, 4234, 1011, 11842, 1009, 2125, 3328, 1054, 1094, 4744, 1009, 23129, 2541, 2337, 1322, 1026, 23912, 10756, 1922, 1916, 1063, 4744, 3765, 1679, 14551, 5840, 1044, 8812, 1009, 2523, 22928, 1986, 3727, 3538, 33, 1857, 6884, 1006, 3337, 1844, 620, 1999, 1482, 2595, 1009, 13660, 1264, 8171, 3295, 3328, 1054, 3939, 4686, 10635, 1049, 3112, 3426, 1054, 1094, 4744, 1118, 25509, 19, 7560, 1322, 1026, 30800, 1073, 1105, 3020, 2286, 1779, 1009, 2992, 1009, 7123, 1344, 1017, 1446, 1195, 5421, 2408, 1043, 1026, 25940, 9229, 25651, 1054, 7160, 1009, 14401, 20627, 1108, 1179, 2196, 3514, 20164, 31156, 1054, 3453, 1005, 1094, 5286, 1009, 1004, 12853, 1060, 1944, 8404, 2286, 1487, 14204, 1294, 14551, 81, 1678, 1264, 9239, 1054, 1307, 5784, 3538, 1005, 13447, 5142, 28, 3452, 12625, 3130, 2708, 30, 5200, 1252, 1400, 1779, 4754, 27473, 1005, 3734, 27, 6989, 1010, 1009, 2712, 1377, 2200, 7023, 1054, 1307, 0, 1054, 1184, 7507, 1009, 1011, 11842, 1009, 1307, 3328, 26657, 30, 2830, 15, 1005, 1054, 1307, 0, 1054, 1184, 1011, 11842, 1009, 1307, 3328, 15497, 3430, 15, 2474, 1108, 23550, 9229, 25651, 4585, 29, 620, 2008, 7375, 1537, 7281, 8731, 1294, 9229, 25651, 1054, 1782, 1009, 6850, 2683, 2940, 1791, 3328, 1005, 2125, 5200, 15866, 1054, 1094, 9348, 1118, 3114, 8352, 24, 1068, 1026, 28399, 78, 26834, 20, 1344, 1017, 1446, 26571, 1101, 9592, 1839, 1011, 11842, 1009, 2125, 3328, 1054, 1456, 1791, 4181, 3538, 2309, 9229, 79, 7174, 1043, 1132, 1791, 3538, 14802, 1054, 26739, 2286, 1799, 1009, 15100, 1264, 8171, 3939, 12625, 1043, 1799, 1009, 1844, 1251, 8381, 1060, 2618, 1009, 2125, 3328, 1054, 1094, 4744, 1009, 2523, 24, 2541, 3665, 1322, 1026, 25388, 8689, 10793, 20324, 1264, 3475, 20359, 1344, 9374, 26657, 31, 4325, 15, 1356, 20030, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1114, 2042, 1060, 17370, 20, 3316, 3757, 5738, 1054, 1984, 1009, 15100, 1318, 1717, 1132, 8689, 7174, 1344, 1017, 1446, 1058, 4312, 1026, 20030, 4530, 1114, 2042, 1060, 17370, 1006, 1663, 30098, 3328, 1054, 1011, 11842, 1009, 2125, 18, 2969, 8348, 1006, 9159, 6014, 3933, 2960, 77, 1434, 9571, 1870, 20359, 4789, 15750, 2976, 12396, 12203, 16102, 1197, 28946, 1005, 12619, 1029, 1062, 8803, 5797, 15774, 1017, 1446, 9121, 1026, 9229, 25651, 1006, 1261, 1094, 4951, 8034, 1009, 2224, 2541, 1463, 2125, 6316, 24874, 1187, 31617, 1068, 4537, 1726, 9107, 1060, 17370, 1009, 15528, 16677, 1857, 26390, 1026, 19951, 14681, 29401, 10040, 1005, 1596, 13685, 1166, 1054, 3251, 3538, 2286, 2224, 1009, 3353, 1009, 7123, 1344, 1017, 1446, 12132, 4202, 1043, 1132, 9229, 79, 10793, 1482, 1675, 1009, 2992, 1009, 6813, 1054, 1094, 4744, 1009, 2523, 23, 2541, 3851, 1322, 1026, 20592, 4669, 13812, 1344, 1017, 1446, 11870, 1079, 1043, 2976, 12396, 1197, 1356, 5512, 2269, 1114, 2919, 1009, 1184, 2125, 3328, 10592, 1060, 3560, 1043, 4004, 3502, 2308, 12539, 2250, 5738, 1264, 26571, 2848, 1011, 11842, 1009, 2125, 3328, 1005, 2569, 1204, 12625, 1054, 1094, 9348, 1118, 30955, 19, 3990, 1068, 1026, 30278, 5401, 5209, 93, 1078, 19157, 9793, 1157, 12396, 1197, 1356, 5512, 2269, 1114, 2919, 1009, 1664, 1132, 5635, 1060, 17370, 1043, 4004, 3502, 29, 2286, 1844, 1009, 3403, 1009, 6813, 1264, 8171, 2595, 3328, 1054, 1094, 4744, 1009, 24977, 9721, 29, 1322, 1026, 28555, 14551, 81, 1916, 3126, 1235, 1831, 2666, 1009, 2595, 3328, 2271, 3186, 1009, 3403, 1009, 18002, 1344, 1017, 1446, 2521, 1779, 10997, 3538, 1365, 1132, 1791, 3538, 1009, 2595, 12625, 17772, 1026, 1712, 22675, 1303, 1365, 3538, 1009, 2595, 3328, 1114, 2042, 1060, 17370, 5044, 9229, 25651, 2470, 1412, 1726, 9107, 1060, 17370, 1054, 6813, 1571, 7035, 1118, 1422, 3541, 1068, 1132, 29401, 10040, 2286, 2595, 1009, 3268, 1009, 6813, 1054, 1094, 4744, 1009, 2523, 28, 2541, 3502, 1322, 1026, 28555, 14551, 81, 1678, 1344, 1017, 1446, 10652, 13227, 2621, 3328, 1114, 3560, 2286, 1307, 14204, 1294, 9229, 79, 7174, 1264, 9239, 1054, 2224, 26, 3538, 1005, 13447, 3130, 3452, 25, 12625, 3939, 23, 5200, 1252, 1400, 19845, 27473, 1005, 7631, 6989, 1010, 1009, 5095, 5682, 1095, 8540, 1006, 28399, 78, 4585, 30, 620, 17816, 15, 5868, 3939, 1009, 3113, 1009, 6813, 1344, 1017, 1446, 1195, 5421, 2408, 1043, 1026, 28399, 78, 26834, 1054, 7160, 1009, 1387, 1087, 9044, 5840, 1005, 2156, 18821, 17781, 1060, 2750, 8404, 1049, 1004, 12853, 20, 1482, 2224, 1009, 2992, 1009, 7267, 1717, 1026, 12014, 16097, 1678, 1344, 1017, 1446, 3475, 20359, 4789, 2461, 1071, 1999, 3989, 4681, 1068, 18051, 1026, 5512, 2269, 1114, 2919, 1009, 1184, 1011, 11842, 1009, 2125, 3328, 1060, 17370, 1009, 1664, 1132, 5635, 2286, 1675, 1009, 3353, 1009, 7267, 1026, 8725, 2399, 1020, 1163, 2432, 96, 82, 2401, 17310, 1344, 1017, 1446, 1159, 1751, 1009, 1044, 7387, 1114, 7160, 1009, 14401, 1535, 4190, 13439, 1776, 1531, 7715, 1344, 1017, 1446, 1195, 5421, 2408, 1043, 1026, 25258, 1067, 4074, 3994, 1043, 1180, 1367, 1081, 28946, 1054, 7160, 1009, 22681, 6161, 7429, 1551, 13792, 25766, 5697, 6088, 2359, 1005, 1094, 5342, 1060, 2750, 8404, 1049, 9951, 4828, 1060, 17370, 1009, 16669, 20324, 1264, 1195, 16724, 1069, 2309, 1067, 4074, 3242, 1061, 93, 2363, 4138, 75, 19109, 5840, 24020, 1479, 3682, 1091, 15, 5868, 2971, 1009, 3353, 1009, 7267, 1344, 1017, 1446, 12132, 1044, 5453, 1009, 1044, 1901, 1043, 1026, 3844, 93, 2363, 4138, 75, 19109, 5840, 2286, 1799, 1009, 3261, 1009, 7434, 1054, 1044, 2666, 1054, 1048, 1344, 1017, 1446, 3708, 1026, 4465, 1009, 4686, 3121, 1006, 6821, 5247, 1264, 8171, 3404, 3328, 1005, 26571, 3251, 1011, 11842, 1009, 2125, 12625, 1054, 1094, 9348, 1118, 30230, 19, 7777, 1068, 1026, 10370, 1446, 1144, 2507, 2640, 89, 10583, 1065, 3785, 8102, 7231, 6448, 18738, 5416, 3160, 3451, 21625, 1110, 7851, 1540, 6434, 11381, 2675, 2083, 60, 1236, 4987, 1257, 49, 1017, 1446, 1225, 2125, 28622, 1344, 3451, 16211, 16921, 1375, 1005, 15914, 81, 22393, 620, 2008, 21566, 1664, 1132, 2688, 31753, 17543, 21466, 1114, 1944, 6517, 1060, 1144, 7521, 11945, 1344, 3451, 2359, 9239, 1114, 2828, 9951, 18056, 16921, 1375, 9239, 1114, 2828, 1009, 7698, 3626, 1081, 1005, 15914, 81, 9239, 1114, 2828, 1049, 26775, 18581, 12902, 2955, 9113, 9239, 17543, 1072, 4843, 6571, 1005, 1566, 8171, 21482, 3328, 1054, 1044, 13650, 1138, 3372, 1009, 1344, 1017, 19797, 1344, 1367, 3926, 1096, 18969, 1054, 1073, 27123, 26401, 1377, 1138, 19705, 1009, 1344, 1017, 19797, 1344, 3308, 1344, 1017, 19797, 1096, 1026, 6304, 1009, 17543, 1049, 11631, 93, 1223, 1227, 14231, 1054, 1138, 9786, 20647, 26401, 1377, 5024, 21897, 1344, 7194, 1344, 1017, 1446, 1096, 1094, 24866, 1185, 3013, 1009, 17543, 7926, 1114, 1228, 14732, 39, 15774, 1017, 1446, 1058, 14067, 1043, 4510, 5206, 8461, 1617, 1054, 1782, 1009, 3383, 1009, 15502, 4490, 20711, 18709, 1007, 2231, 95, 13335, 5810, 1054, 1487, 1009, 3049, 1009, 14511, 4490, 7391, 3765, 1233, 3357, 1235, 1831, 12829, 1344, 2095, 94, 13265, 1047, 7452, 1054, 1422, 1009, 3268, 1009, 14793, 5024, 2277, 12829, 13446, 3933, 5810, 1054, 3113, 1779, 1009, 3973, 15774, 1017, 1446, 1225, 1224, 3486, 12205, 1009, 1429, 2485, 3806, 5707, 1425, 1112, 1344, 4518, 1344, 1017, 1446, 1406, 1048, 18954, 1068, 2739, 11855, 31862, 12386, 6997, 2200, 9009, 1094, 3597, 2097, 1836, 1294, 18485, 7174, 1571, 21523, 1079, 1005, 1049, 1079, 1384, 13138, 1068, 3978, 15776, 17670, 1344, 1017, 1446, 31327, 1094, 2360, 2618, 1009, 8637, 3806, 17382, 1014, 3422, 76, 3079, 1248, 1406, 1048, 1096, 5808, 1140, 1233, 1224, 12205, 1344, 49, 44, 1068, 3371, 1124, 3978, 15776, 17670, 1482, 7240, 1264, 7717, 1094, 4600, 10038, 1009, 18394, 1009, 25420, 1054, 12020, 3806, 3793, 2657, 1164, 5209, 29236, 1406, 1114, 1428, 1264, 21523, 71, 25420, 1068, 1049, 1024, 1006, 1783, 1305, 5786, 2526, 1054, 14272, 1377, 1344, 1017, 1446, 1318, 6580, 1049, 2868, 1009, 10363, 1009, 17543, 1305, 15951, 1060, 17370, 1114, 22185, 12661, 1561, 1005, 9259, 3868, 21671, 1187, 2138, 2365, 25978 ]

[ 1060, 3227, 2175, 1126, 2966, 1044, 1712, 3603, 1060, 22626, 1063, 19345, 1049, 3182, 2999, 1118, 18124, 2177, 17028, 1032, 1140, 1005, 1837, 10623, 1068, 20738, 19683, 1043, 31212, 1045, 19776, 24417, 1040, 5305, 1327, 23179, 3970, 8815, 2950, 1006, 3592, 5567, 1009, 19345, 1406, 5649, 8531, 1056, 3304, 1809, 1045, 18720, 83, 177, 2796, 1870, 25493, 1049, 14550, 6206, 13368, 10011, 20, 4049, 1016, 2348, 9525, 1096, 1048, 1826, 1058, 5700, 1184, 3986, 1554, 8, 12992, 28862, 2606, 8562, 3316, 1271, 12675, 1049, 12694, 1511, 3902, 3606, 1860, 5006, 1096, 26030, 1026, 1048, 1096, 3675, 1188, 1072, 1908, 1159, 1094, 2700, 1009, 13862, 1054, 1235, 28528, 1164, 1009, 21053, 2376, 1020, 1796, 11469, 4553, 1356, 6147, 1054, 25514, 1566, 2284, 2281, 19147, 1159, 1094, 10902, 20, 5024, 5975, 1009, 1124, 2253, 2284, 2281, 7983, 1599, 1309, 1264, 8743, 29310, 6062, 12747, 1069, 2425, 10748, 4682, 1006, 22955, 1009, 9487, 81, 9718, 2858, 1187, 3328, 4856, 6602, 6071, 2277, 8492, 76, 1180, 3496, 4566, 1049, 5019, 13355, 1068, 14671, 1955, 1363, 11199, 1006, 6517, 1365, 1124, 4320, 5298, 1009, 3227, 9755, 1916, 6126, 3004, 19486, 13631, 18, 1048, 3634, 1178, 3758, 1580, 1054, 8389, 1009, 1094, 4081, 1009, 1712, 5046, 28608, 1776, 2535, 1009, 1796, 11469, 1837, 9312, 1322, 1006, 17675, 1365, 1132, 23344, 1180, 3496, 1253, 3315, 1126, 1118, 3018, 1048, 9488, 11981, 1202, 1132, 4278, 12190, 1726, 21718, 1305, 9462, 20339, 20, 1063, 3971, 1009, 5556, 23167, 2685, 8864, 2453, 1049, 19546, 9528, 1068, 1026, 3731, 3382, 1096, 1094, 4087, 2481, 1009, 5930, 3144, 1138, 3266, 2671, 1566, 19395, 1006, 4173, 1009, 11511, 1068, 21807, 14720, 5058, 2940, 1026, 3603, 20, 2951, 6935, 1005, 1006, 8600, 1826, 3748, 1044, 2631, 2011, 1406, 5649, 20, 12355, 1096, 1118, 24475, 1048, 1160, 16382, 1044, 1807, 29432, 1159, 1026, 1009, 27994, 1766, 26477, 11825, 1048, 1096, 1184, 4445, 12228, 1044, 12747, 1069, 1054, 1734, 6453, 2855, 1, 1138, 2670, 1049, 25836, 30498, 1062, 2044, 1689, 25126, 19, 2982, 1349, 12491, 1068, 4408, 1055, 14335, 1026, 2743, 1009, 3940, 1048, 1499, 2372, 1124, 6264, 1271, 23884, 1072, 7751, 1063, 4734, 1195, 22544, 1118, 12469, 1049, 18837, 9184, 1026, 2670, 10340, 20296, 24752, 13193, 1026, 2743, 1305, 11458, 1229, 1132, 12211, 1009, 14608, 1060, 31270, 19713, 8897, 1178, 11002, 1402, 1054, 12211, 1009, 9478, 18, 1159, 5325, 1114, 31270, 26145, 1114, 5353, 1005, 1114, 3546, 2533, 1377, 2034, 27307, 4125, 1027, 1006, 9004, 1130, 1006, 31270, 19713, 1060, 2921, 5521, 1043, 6685, 1009, 8235, 20, 1063, 5600, 5588, 6264, 6189, 1016, 1114, 15637, 1112, 1187, 11613, 1554, 7672, 16766, 1357, 20311, 1187, 12211, 4291, 22567, 1006, 1235, 12735, 1132, 8738, 6163, 1114, 14223, 1060, 31270, 19713, 1071, 4104, 1585, 4261, 2195, 16636, 6486, 15, 2271, 1048, 1057, 11286, 1291, 1026, 2161, 11633, 5473, 8738, 1114, 8083, 1009, 5353, 1054, 4290, 1006, 4207, 17517, 1357, 20863, 1045, 3106, 19934, 2769, 1009, 12173, 17437, 1565, 1063, 9394, 1318, 13273, 150, 1026, 2161, 5473, 8738, 20, 1338, 1549, 1371, 1048, 1857, 1581, 3847, 2916, 1009, 2824, 1158, 6616, 20, 7680, 3710, 41, 5237, 30659, 1776, 1852, 1049, 1901, 7755, 25750, 1009, 8797, 18, 29640, 1118, 28211, 2330, 96, 1047, 5331, 1021, 2645, 41, 1136, 40, 21, 3642, 1349, 5588, 31024, 1043, 6724, 1114, 7975, 14501, 1049, 10219, 13930, 1048, 1989, 2743, 4219, 9966, 1213, 16142, 11676, 5126, 3701, 1046, 1048, 1026, 11797, 1048, 2845, 1114, 21360, 2569, 14686, 3155, 8812, 28174, 1009, 4234, 3952, 15, 1005, 6105, 1261, 2281, 5313, 1188, 16015, 20395, 3982, 1118, 3018, 1048, 1132, 8738, 25039, 3429, 3259, 1054, 2824, 3114, 6616, 1005, 1048, 1026, 2671, 1325, 1150, 1136, 1157, 8, 1989, 2161, 1068, 1124, 24889, 12316, 1138, 6721, 1060, 11137, 18, 7480, 10932, 24448, 1005, 30821, 18, 20940, 1344, 1265, 1182, 11055, 42, 21249, 1349, 5649, 1048, 1160, 1837, 1049, 3803, 2034, 27307, 13590, 26179, 1989, 2161, 1054, 6573, 1068, 10829, 20, 1972, 5806, 1006, 31270, 19713, 1325, 1054, 27669, 18530, 1005, 23600, 1026, 4461, 18049, 2535, 1026, 17211, 5904, 5094, 1160, 4219, 2649, 1105, 1100, 1026, 2671, 1998, 4305, 2416, 1889, 1213, 17009, 1187, 12211, 1009, 1572, 1262, 1627, 1054, 4879, 2639, 1, 1063, 20959, 2540, 1048, 1006, 21051, 1271, 12388, 1068, 1006, 5641, 1009, 10138, 29555, 1054, 7189, 5615, 1060, 8859, 1049, 16660, 59, 4139, 4904, 1009, 20081, 1060, 4630, 15, 1322, 1124, 6264, 1048, 1006, 20035, 1976, 4054, 20, 1138, 6976, 1976, 1178, 20723, 1188, 2309, 18452, 1060, 7245, 1114, 7513, 2429, 4886, 2149, 0, 1565, 1587, 1790, 2051, 1060, 14543, 9704, 1048, 1132, 11195, 1049, 9295, 1005, 1006, 17963, 1060, 2451, 9686, 1006, 1044, 2303, 1322, 1132, 3328, 3145, 1009, 17448, 4195, 1159, 1712, 19824, 1213, 2568, 1009, 2518, 1377, 1424, 3005, 1026, 16660, 59, 1976, 21883, 1006, 5641, 1009, 2248, 1554, 4763, 15444, 5328, 2670, 1060, 30681, 2469, 12470, 1048, 1006, 20959, 7217, 12265, 1009, 6476, 1054, 1235, 2868, 1009, 1169, 11286, 1223, 4140, 1159, 1096, 3509, 1026, 2568, 1009, 5641, 1009, 3235, 1060, 20035, 20, 1084, 1048, 1044, 1187, 3328, 1009, 9985, 1195, 14130, 1026, 2550, 1009, 16375, 3778, 1357, 6322, 1672, 1048, 15402, 1884, 3749, 1044, 2285, 7347, 1009, 3235, 1068, 6098, 1060, 6915, 2309, 2248, 1554, 3316, 1271, 16721, 1049, 12609, 1096, 1048, 1006, 20959, 14199, 1712, 14099, 1213, 2568, 1009, 5641, 1068, 1048, 1184, 13967, 6326, 4659, 1072, 23352, 15888, 1508, 1043, 7325, 14448, 1406, 4979, 15444, 1148, 1986, 6098, 1009, 3366, 1049, 4235, 1062, 1878, 1041, 1982, 7765, 3068, 4886, 2149, 0, 15, 1054, 1764, 10533, 6234, 9997, 7928, 1096, 1048, 1616, 4172, 1178, 2649, 1396, 1188, 1026, 1184, 6154, 2481, 2100, 1776, 2822, 1009, 6747, 1026, 6721, 3236, 1082, 5860, 2037, 1049, 16660, 19708, 11561, 1048, 1006, 20035, 30089, 1006, 5641, 1009, 3251, 2248, 1229, 3429, 3259, 1054, 7294, 5843, 25, 6616, 20, 2605, 2089, 12388, 1060, 20035, 6011, 1006, 5641, 7353, 1140, 2097, 1026, 9295, 5365, 1393, 1058, 1132, 10330, 1060, 2451, 3586, 21442, 1233, 3940, 20, 1063, 20959, 2257, 1006, 6462, 1009, 9501, 7294, 14545, 23, 6616, 1054, 10138, 1495, 1026, 1901, 4995, 1711, 2873, 1202, 7294, 13932, 28, 6616, 20, 1142, 4326, 2321, 2053, 2164, 3423, 1060, 9985, 1043, 1026, 16660, 19708, 1006, 20959, 17940, 1026, 15490, 1049, 2568, 1009, 5641, 1009, 4965, 1114, 5829, 20, 15444, 1148, 4979, 1261, 20806, 1055, 1048, 1006, 30681, 1239, 2177, 4310, 1009, 26179, 1054, 8627, 13270, 1124, 2282, 25976, 1048, 3004, 5225, 1040, 1006, 21051, 1271, 12388, 1043, 12245, 20, 1063, 5641, 1009, 1356, 2444, 2848, 2248, 1229, 1365, 6824, 1009, 12050, 1005, 3235, 4513, 1312, 1357, 6322, 1672, 1325, 5225, 1236, 1118, 8406, 2282, 25976, 1009, 23170, 1009, 5829, 20, 1063, 10834, 1463, 16433, 23226, 1132, 7072, 1060, 20035, 1048, 1225, 13164, 28079, 12897, 1009, 6937, 1060, 1224, 12495, 1005, 1225, 1009, 3647, 8235, 1054, 2935, 1005, 3090, 1009, 6824, 1009, 10236, 1108, 1667, 8601, 30922, 4125, 3235, 1233, 13782, 3629, 1006, 30681, 1239, 1006, 15299, 3453, 1005, 21585, 1006, 14968, 1009, 1224, 8339, 5330, 31760, 16364, 1058, 18, 2730, 18943, 6490, 1009, 2444, 3480, 5615, 1049, 15069, 1072, 2568, 1009, 27623, 1006, 20959, 15936, 31230, 6937, 1049, 8408, 1038, 13108, 1303, 1206, 1006, 6389, 1271, 13164, 1009, 2278, 4140, 15444, 1148, 6379, 6363, 1006, 12138, 1060, 25375, 1060, 2451, 1054, 16313, 1006, 8339, 5330, 2951, 3357, 1187, 3171, 1048, 1006, 3596, 22132, 1416, 3312, 1068, 12356, 10395, 10881, 2122, 6462, 1009, 1169, 19319, 1662, 1416, 1406, 4979, 20, 15275, 9284, 26129, 5356, 3071, 139, 13746, 1482, 1224, 1558, 1126, 15444, 1148, 6701, 1060, 4493, 1114, 5042, 1049, 17211, 7492, 1005, 5904, 5094, 1068, 1006, 21051, 1187, 8235, 1072, 4898, 1005, 4758, 1060, 20959, 20, 3598, 2315, 20806, 1055, 1048, 1026, 4898, 1009, 9458, 1005, 9242, 1096, 1026, 1048, 1298, 6679, 1184, 6154, 1233, 5042, 1655, 1925, 28117, 67, 1406, 4979, 20, 5153, 5806, 16220, 1159, 1026, 1009, 6697, 1009, 5370, 1060, 7298, 9610, 1048, 5756, 1807, 12271, 1072, 2568, 1009, 2367, 2544, 1055, 1060, 6322, 1672, 1309, 1620, 1837, 1213, 2444, 1791, 1646, 1009, 1150, 26601, 1137, 18094, 8, 1357, 23957, 12355, 3074, 6909, 1048, 1566, 4800, 11784, 1068, 1026, 18234, 1406, 4979, 15444, 1148, 1890, 7422, 5304, 1138, 10470, 1973, 1048, 1124, 19165, 10044, 1312, 1357, 20959, 1327, 13636, 1005, 1048, 9606, 8932, 79, 28590, 1068, 1026, 4898, 1009, 2217, 4693, 1309, 1048, 1006, 22235, 1990, 1060, 20035, 1160, 1325, 1054, 9985, 1072, 18074, 2951, 4263, 5092, 1206, 1160, 2572, 1616, 1206, 1160, 1325, 27137, 1068, 2122, 6999, 3320, 2800, 2122, 9985, 1160, 1325, 6772, 1154, 1068, 25670, 1998, 18140, 18771, 8587, 1006, 3028, 13976, 1058, 4347, 1800, 5493, 1406, 4979, 20, 1, 5845, 1006, 4600, 1049, 13743, 72, 2477, 1177, 1322, 1006, 4701, 12889, 1060, 4630, 11005, 6070, 26446, 1026, 2276, 5500, 79, 159, 1049, 4037, 14056, 5569, 1983, 1014, 3529, 23930, 6690, 1357, 21787, 1049, 8497, 1009, 1044, 3187, 1362, 2262, 10775, 1213, 1150, 6148, 94, 1041, 1406, 9923, 1006, 11010, 12862, 20, 1983, 20420, 17234, 1006, 4600, 1357, 22114, 1049, 4037, 5546, 1114, 1228, 6854, 4155, 8576, 1054, 3404, 1009, 3370, 1009, 3973, 1054, 1044, 13743, 72, 2477, 1177, 1048, 1264, 1592, 4099, 169, 1916, 2200, 27026, 1986, 1006, 4744, 1049, 2743, 1009, 4701, 1060, 10797, 20, 1551, 2303, 1043, 16229, 1049, 2868, 6234, 1835, 89, 84, 3626, 1406, 1060, 12862, 18, 1026, 2276, 5500, 79, 159, 1058, 13652, 1054, 3403, 1049, 1901, 4995, 1043, 22644, 4206, 9907, 17539, 18, 10133, 1049, 4954, 22095, 24384, 1406, 1068, 9364, 1048, 1026, 8497, 2976, 1119, 1139, 1013, 4219, 22901, 1054, 1224, 5978, 1049, 1150, 6148, 94, 1041, 1406, 1206, 2276, 1048, 4219, 13898, 4457, 2858, 23436, 1009, 30539, 1973, 1233, 12862, 1048, 1026, 4472, 1255, 21648, 159, 27360, 1124, 14644, 1005, 1048, 1264, 1657, 8253, 22933, 1006, 7922, 1009, 1224, 3621, 1583, 26543, 25889, 14076, 8857, 15214, 1048, 5569, 30539, 3503, 1907, 1117, 1622, 7556, 2306, 1970, 1497, 1026, 21961, 22095, 24384, 13, 1406, 4979, 1026, 23436, 20, 2858, 23436, 1049, 4206, 9907, 17539, 1716, 5233, 16675, 1206, 9934, 1698, 1124, 14644, 1060, 12862, 1717, 1983, 1014, 3529, 1309, 4979, 1048, 1026, 10133, 1049, 4954, 22095, 24384, 8, 1566, 1195, 1150, 2181, 16364, 1118, 1184, 1009, 1044, 15763, 8, 1006, 8546, 29192, 1072, 16326, 1119, 1139, 1013, 1318, 1716, 5233, 11971, 1322, 1006, 16229, 1060, 12862, 18, 6909, 1048, 2569, 6685, 1068, 16466, 1026, 3761, 1305, 26324, 1060, 1695, 2069, 20, 1138, 4954, 22095, 24384, 8, 1096, 1026, 3761, 1043, 1006, 2750, 1712, 12640, 1054, 3129, 1072, 4037, 14056, 20295, 17362, 9557, 1009, 11925, 1118, 4604, 1005, 1006, 1712, 9782, 1114, 15631, 8723, 2322, 2744, 1009, 12876, 14789, 20, 1119, 1139, 1013, 1970, 1497, 1026, 3761, 1837, 2971, 4844, 1, 1138, 9054, 27061, 1163, 10040, 10025, 12081, 3282, 1054, 4206, 92, 11225, 1571, 1195, 14742, 1009, 5309, 1009, 26017, 3072, 1046, 1377, 5011, 1195, 12590, 1114, 22668, 10702, 2170, 1890, 1006, 6496, 1009, 7413, 9629, 2975, 7687, 1072, 7414, 1009, 5829, 1187, 23465, 1424, 7346, 26176, 1005, 4798, 1009, 1094, 2531, 1043, 20022, 2480, 1478, 1043, 1026, 5428, 14216, 4906, 1026, 9054, 1195, 10921, 1356, 2670, 14902, 12656, 1068, 18051, 1094, 7182, 1114, 22668, 10702, 1187, 2138, 11110, 1482, 7269, 1264, 1566, 2284, 2281, 6738, 1118, 7413, 21847, 1068, 1006, 7245, 1009, 9459, 1112, 1049, 2956, 1049, 24184, 20, 1603, 1026, 1720, 1009, 1163, 10040, 10025, 1234, 12516, 1356, 25836, 6761, 2412, 2184, 8042, 1006, 7002, 20792, 3368, 1159, 1026, 3282, 1213, 1345, 1997, 1100, 1006, 4087, 1009, 15081, 1005, 1009, 6900, 1624, 25865, 21050, 1693, 1178, 5341, 3983, 12509, 1006, 22668, 10702, 1187, 4620, 1325, 15942, 1365, 2848, 21351, 28669, 1005, 2848, 5674, 11141, 1063, 1072, 1925, 8764, 1325, 8522, 2271, 1026, 2738, 1009, 6747, 1986, 1006, 3248, 1049, 9054, 6562, 1021, 5377, 1029, 1411, 1318, 12374, 1159, 5674, 8341, 1505, 3179, 1044, 4183, 1026, 2276, 2670, 26017, 12785, 8253, 1054, 25062, 1930, 1305, 12788, 1044, 9054, 1009, 7346, 1499, 7733, 20, 2800, 12785, 1160, 4713, 8900, 1006, 8202, 1187, 21958, 1072, 25836, 1048, 7353, 1412, 1224, 3550, 2094, 1006, 8764, 6895, 8522, 20, 13795, 17091, 1048, 12656, 4597, 1184, 10367, 1009, 13279, 1026, 9054, 18, 1094, 1472, 1048, 1026, 7346, 1049, 1235, 10921, 4121, 1196, 1132, 1184, 28172, 1049, 7026, 5414, 20, 1163, 7545, 10025, 1096, 19533, 1009, 1094, 11267, 1184, 2367, 6226, 1005, 26476, 1060, 9015, 20, 1073, 3352, 6264, 30333, 1006, 17621, 1009, 1163, 10040, 10025, 1479, 85, 1184, 5102, 10612, 1054, 2971, 1646, 1068, 1026, 5333, 15262, 1874, 620 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3227, 2175, 1126, 2966, 1044, 1712, 3603, 1060, 22626, 1063, 19345, 1049, 3182, 2999, 1118, 18124, 2177, 17028, 1032, 1140, 1005, 1837, 10623, 1068, 20738, 19683, 1043, 31212, 1045, 19776, 24417, 1040, 5305, 1327, 23179, 3970, 8815, 2950, 1006, 3592, 5567, 1009, 19345, 1406, 5649, 8531, 1056, 3304, 1809, 1045, 18720, 83, 177, 2796, 1870, 25493, 1049, 14550, 6206, 13368, 10011, 20, 4049, 1016, 2348, 9525, 1096, 1048, 1826, 1058, 5700, 1184, 3986, 1554, 8, 12992, 28862, 2606, 8562, 3316, 1271, 12675, 1049, 12694, 1511, 3902, 3606, 1860, 5006, 1096, 26030, 1026, 1048, 1096, 3675, 1188, 1072, 1908, 1159, 1094, 2700, 1009, 13862, 1054, 1235, 28528, 1164, 1009, 21053, 2376, 1020, 1796, 11469, 4553, 1356, 6147, 1054, 25514, 1566, 2284, 2281, 19147, 1159, 1094, 10902, 20, 5024, 5975, 1009, 1124, 2253, 2284, 2281, 7983, 1599, 1309, 1264, 8743, 29310, 6062, 12747, 1069, 2425, 10748, 4682, 1006, 22955, 1009, 9487, 81, 9718, 2858, 1187, 3328, 4856, 6602, 6071, 2277, 8492, 76, 1180, 3496, 4566, 1049, 5019, 13355, 1068, 14671, 1955, 1363, 11199, 1006, 6517, 1365, 1124, 4320, 5298, 1009, 3227, 9755, 1916, 6126, 3004, 19486, 13631, 18, 1048, 3634, 1178, 3758, 1580, 1054, 8389, 1009, 1094, 4081, 1009, 1712, 5046, 28608, 1776, 2535, 1009, 1796, 11469, 1837, 9312, 1322, 1006, 17675, 1365, 1132, 23344, 1180, 3496, 1253, 3315, 1126, 1118, 3018, 1048, 9488, 11981, 1202, 1132, 4278, 12190, 1726, 21718, 1305, 9462, 20339, 20, 1063, 3971, 1009, 5556, 23167, 2685, 8864, 2453, 1049, 19546, 9528, 1068, 1026, 3731, 3382, 1096, 1094, 4087, 2481, 1009, 5930, 3144, 1138, 3266, 2671, 1566, 19395, 1006, 4173, 1009, 11511, 1068, 21807, 14720, 5058, 2940, 1026, 3603, 20, 2951, 6935, 1005, 1006, 8600, 1826, 3748, 1044, 2631, 2011, 1406, 5649, 20, 12355, 1096, 1118, 24475, 1048, 1160, 16382, 1044, 1807, 29432, 1159, 1026, 1009, 27994, 1766, 26477, 11825, 1048, 1096, 1184, 4445, 12228, 1044, 12747, 1069, 1054, 1734, 6453, 2855, 1, 1138, 2670, 1049, 25836, 30498, 1062, 2044, 1689, 25126, 19, 2982, 1349, 12491, 1068, 4408, 1055, 14335, 1026, 2743, 1009, 3940, 1048, 1499, 2372, 1124, 6264, 1271, 23884, 1072, 7751, 1063, 4734, 1195, 22544, 1118, 12469, 1049, 18837, 9184, 1026, 2670, 10340, 20296, 24752, 13193, 1026, 2743, 1305, 11458, 1229, 1132, 12211, 1009, 14608, 1060, 31270, 19713, 8897, 1178, 11002, 1402, 1054, 12211, 1009, 9478, 18, 1159, 5325, 1114, 31270, 26145, 1114, 5353, 1005, 1114, 3546, 2533, 1377, 2034, 27307, 4125, 1027, 1006, 9004, 1130, 1006, 31270, 19713, 1060, 2921, 5521, 1043, 6685, 1009, 8235, 20, 1063, 5600, 5588, 6264, 6189, 1016, 1114, 15637, 1112, 1187, 11613, 1554, 7672, 16766, 1357, 20311, 1187, 12211, 4291, 22567, 1006, 1235, 12735, 1132, 8738, 6163, 1114, 14223, 1060, 31270, 19713, 1071, 4104, 1585, 4261, 2195, 16636, 6486, 15, 2271, 1048, 1057, 11286, 1291, 1026, 2161, 11633, 5473, 8738, 1114, 8083, 1009, 5353, 1054, 4290, 1006, 4207, 17517, 1357, 20863, 1045, 3106, 19934, 2769, 1009, 12173, 17437, 1565, 1063, 9394, 1318, 13273, 150, 1026, 2161, 5473, 8738, 20, 1338, 1549, 1371, 1048, 1857, 1581, 3847, 2916, 1009, 2824, 1158, 6616, 20, 7680, 3710, 41, 5237, 30659, 1776, 1852, 1049, 1901, 7755, 25750, 1009, 8797, 18, 29640, 1118, 28211, 2330, 96, 1047, 5331, 1021, 2645, 41, 1136, 40, 21, 3642, 1349, 5588, 31024, 1043, 6724, 1114, 7975, 14501, 1049, 10219, 13930, 1048, 1989, 2743, 4219, 9966, 1213, 16142, 11676, 5126, 3701, 1046, 1048, 1026, 11797, 1048, 2845, 1114, 21360, 2569, 14686, 3155, 8812, 28174, 1009, 4234, 3952, 15, 1005, 6105, 1261, 2281, 5313, 1188, 16015, 20395, 3982, 1118, 3018, 1048, 1132, 8738, 25039, 3429, 3259, 1054, 2824, 3114, 6616, 1005, 1048, 1026, 2671, 1325, 1150, 1136, 1157, 8, 1989, 2161, 1068, 1124, 24889, 12316, 1138, 6721, 1060, 11137, 18, 7480, 10932, 24448, 1005, 30821, 18, 20940, 1344, 1265, 1182, 11055, 42, 21249, 1349, 5649, 1048, 1160, 1837, 1049, 3803, 2034, 27307, 13590, 26179, 1989, 2161, 1054, 6573, 1068, 10829, 20, 1972, 5806, 1006, 31270, 19713, 1325, 1054, 27669, 18530, 1005, 23600, 1026, 4461, 18049, 2535, 1026, 17211, 5904, 5094, 1160, 4219, 2649, 1105, 1100, 1026, 2671, 1998, 4305, 2416, 1889, 1213, 17009, 1187, 12211, 1009, 1572, 1262, 1627, 1054, 4879, 2639, 1, 1063, 20959, 2540, 1048, 1006, 21051, 1271, 12388, 1068, 1006, 5641, 1009, 10138, 29555, 1054, 7189, 5615, 1060, 8859, 1049, 16660, 59, 4139, 4904, 1009, 20081, 1060, 4630, 15, 1322, 1124, 6264, 1048, 1006, 20035, 1976, 4054, 20, 1138, 6976, 1976, 1178, 20723, 1188, 2309, 18452, 1060, 7245, 1114, 7513, 2429, 4886, 2149, 0, 1565, 1587, 1790, 2051, 1060, 14543, 9704, 1048, 1132, 11195, 1049, 9295, 1005, 1006, 17963, 1060, 2451, 9686, 1006, 1044, 2303, 1322, 1132, 3328, 3145, 1009, 17448, 4195, 1159, 1712, 19824, 1213, 2568, 1009, 2518, 1377, 1424, 3005, 1026, 16660, 59, 1976, 21883, 1006, 5641, 1009, 2248, 1554, 4763, 15444, 5328, 2670, 1060, 30681, 2469, 12470, 1048, 1006, 20959, 7217, 12265, 1009, 6476, 1054, 1235, 2868, 1009, 1169, 11286, 1223, 4140, 1159, 1096, 3509, 1026, 2568, 1009, 5641, 1009, 3235, 1060, 20035, 20, 1084, 1048, 1044, 1187, 3328, 1009, 9985, 1195, 14130, 1026, 2550, 1009, 16375, 3778, 1357, 6322, 1672, 1048, 15402, 1884, 3749, 1044, 2285, 7347, 1009, 3235, 1068, 6098, 1060, 6915, 2309, 2248, 1554, 3316, 1271, 16721, 1049, 12609, 1096, 1048, 1006, 20959, 14199, 1712, 14099, 1213, 2568, 1009, 5641, 1068, 1048, 1184, 13967, 6326, 4659, 1072, 23352, 15888, 1508, 1043, 7325, 14448, 1406, 4979, 15444, 1148, 1986, 6098, 1009, 3366, 1049, 4235, 1062, 1878, 1041, 1982, 7765, 3068, 4886, 2149, 0, 15, 1054, 1764, 10533, 6234, 9997, 7928, 1096, 1048, 1616, 4172, 1178, 2649, 1396, 1188, 1026, 1184, 6154, 2481, 2100, 1776, 2822, 1009, 6747, 1026, 6721, 3236, 1082, 5860, 2037, 1049, 16660, 19708, 11561, 1048, 1006, 20035, 30089, 1006, 5641, 1009, 3251, 2248, 1229, 3429, 3259, 1054, 7294, 5843, 25, 6616, 20, 2605, 2089, 12388, 1060, 20035, 6011, 1006, 5641, 7353, 1140, 2097, 1026, 9295, 5365, 1393, 1058, 1132, 10330, 1060, 2451, 3586, 21442, 1233, 3940, 20, 1063, 20959, 2257, 1006, 6462, 1009, 9501, 7294, 14545, 23, 6616, 1054, 10138, 1495, 1026, 1901, 4995, 1711, 2873, 1202, 7294, 13932, 28, 6616, 20, 1142, 4326, 2321, 2053, 2164, 3423, 1060, 9985, 1043, 1026, 16660, 19708, 1006, 20959, 17940, 1026, 15490, 1049, 2568, 1009, 5641, 1009, 4965, 1114, 5829, 20, 15444, 1148, 4979, 1261, 20806, 1055, 1048, 1006, 30681, 1239, 2177, 4310, 1009, 26179, 1054, 8627, 13270, 1124, 2282, 25976, 1048, 3004, 5225, 1040, 1006, 21051, 1271, 12388, 1043, 12245, 20, 1063, 5641, 1009, 1356, 2444, 2848, 2248, 1229, 1365, 6824, 1009, 12050, 1005, 3235, 4513, 1312, 1357, 6322, 1672, 1325, 5225, 1236, 1118, 8406, 2282, 25976, 1009, 23170, 1009, 5829, 20, 1063, 10834, 1463, 16433, 23226, 1132, 7072, 1060, 20035, 1048, 1225, 13164, 28079, 12897, 1009, 6937, 1060, 1224, 12495, 1005, 1225, 1009, 3647, 8235, 1054, 2935, 1005, 3090, 1009, 6824, 1009, 10236, 1108, 1667, 8601, 30922, 4125, 3235, 1233, 13782, 3629, 1006, 30681, 1239, 1006, 15299, 3453, 1005, 21585, 1006, 14968, 1009, 1224, 8339, 5330, 31760, 16364, 1058, 18, 2730, 18943, 6490, 1009, 2444, 3480, 5615, 1049, 15069, 1072, 2568, 1009, 27623, 1006, 20959, 15936, 31230, 6937, 1049, 8408, 1038, 13108, 1303, 1206, 1006, 6389, 1271, 13164, 1009, 2278, 4140, 15444, 1148, 6379, 6363, 1006, 12138, 1060, 25375, 1060, 2451, 1054, 16313, 1006, 8339, 5330, 2951, 3357, 1187, 3171, 1048, 1006, 3596, 22132, 1416, 3312, 1068, 12356, 10395, 10881, 2122, 6462, 1009, 1169, 19319, 1662, 1416, 1406, 4979, 20, 15275, 9284, 26129, 5356, 3071, 139, 13746, 1482, 1224, 1558, 1126, 15444, 1148, 6701, 1060, 4493, 1114, 5042, 1049, 17211, 7492, 1005, 5904, 5094, 1068, 1006, 21051, 1187, 8235, 1072, 4898, 1005, 4758, 1060, 20959, 20, 3598, 2315, 20806, 1055, 1048, 1026, 4898, 1009, 9458, 1005, 9242, 1096, 1026, 1048, 1298, 6679, 1184, 6154, 1233, 5042, 1655, 1925, 28117, 67, 1406, 4979, 20, 5153, 5806, 16220, 1159, 1026, 1009, 6697, 1009, 5370, 1060, 7298, 9610, 1048, 5756, 1807, 12271, 1072, 2568, 1009, 2367, 2544, 1055, 1060, 6322, 1672, 1309, 1620, 1837, 1213, 2444, 1791, 1646, 1009, 1150, 26601, 1137, 18094, 8, 1357, 23957, 12355, 3074, 6909, 1048, 1566, 4800, 11784, 1068, 1026, 18234, 1406, 4979, 15444, 1148, 1890, 7422, 5304, 1138, 10470, 1973, 1048, 1124, 19165, 10044, 1312, 1357, 20959, 1327, 13636, 1005, 1048, 9606, 8932, 79, 28590, 1068, 1026, 4898, 1009, 2217, 4693, 1309, 1048, 1006, 22235, 1990, 1060, 20035, 1160, 1325, 1054, 9985, 1072, 18074, 2951, 4263, 5092, 1206, 1160, 2572, 1616, 1206, 1160, 1325, 27137, 1068, 2122, 6999, 3320, 2800, 2122, 9985, 1160, 1325, 6772, 1154, 1068, 25670, 1998, 18140, 18771, 8587, 1006, 3028, 13976, 1058, 4347, 1800, 5493, 1406, 4979, 20, 1, 5845, 1006, 4600, 1049, 13743, 72, 2477, 1177, 1322, 1006, 4701, 12889, 1060, 4630, 11005, 6070, 26446, 1026, 2276, 5500, 79, 159, 1049, 4037, 14056, 5569, 1983, 1014, 3529, 23930, 6690, 1357, 21787, 1049, 8497, 1009, 1044, 3187, 1362, 2262, 10775, 1213, 1150, 6148, 94, 1041, 1406, 9923, 1006, 11010, 12862, 20, 1983, 20420, 17234, 1006, 4600, 1357, 22114, 1049, 4037, 5546, 1114, 1228, 6854, 4155, 8576, 1054, 3404, 1009, 3370, 1009, 3973, 1054, 1044, 13743, 72, 2477, 1177, 1048, 1264, 1592, 4099, 169, 1916, 2200, 27026, 1986, 1006, 4744, 1049, 2743, 1009, 4701, 1060, 10797, 20, 1551, 2303, 1043, 16229, 1049, 2868, 6234, 1835, 89, 84, 3626, 1406, 1060, 12862, 18, 1026, 2276, 5500, 79, 159, 1058, 13652, 1054, 3403, 1049, 1901, 4995, 1043, 22644, 4206, 9907, 17539, 18, 10133, 1049, 4954, 22095, 24384, 1406, 1068, 9364, 1048, 1026, 8497, 2976, 1119, 1139, 1013, 4219, 22901, 1054, 1224, 5978, 1049, 1150, 6148, 94, 1041, 1406, 1206, 2276, 1048, 4219, 13898, 4457, 2858, 23436, 1009, 30539, 1973, 1233, 12862, 1048, 1026, 4472, 1255, 21648, 159, 27360, 1124, 14644, 1005, 1048, 1264, 1657, 8253, 22933, 1006, 7922, 1009, 1224, 3621, 1583, 26543, 25889, 14076, 8857, 15214, 1048, 5569, 30539, 3503, 1907, 1117, 1622, 7556, 2306, 1970, 1497, 1026, 21961, 22095, 24384, 13, 1406, 4979, 1026, 23436, 20, 2858, 23436, 1049, 4206, 9907, 17539, 1716, 5233, 16675, 1206, 9934, 1698, 1124, 14644, 1060, 12862, 1717, 1983, 1014, 3529, 1309, 4979, 1048, 1026, 10133, 1049, 4954, 22095, 24384, 8, 1566, 1195, 1150, 2181, 16364, 1118, 1184, 1009, 1044, 15763, 8, 1006, 8546, 29192, 1072, 16326, 1119, 1139, 1013, 1318, 1716, 5233, 11971, 1322, 1006, 16229, 1060, 12862, 18, 6909, 1048, 2569, 6685, 1068, 16466, 1026, 3761, 1305, 26324, 1060, 1695, 2069, 20, 1138, 4954, 22095, 24384, 8, 1096, 1026, 3761, 1043, 1006, 2750, 1712, 12640, 1054, 3129, 1072, 4037, 14056, 20295, 17362, 9557, 1009, 11925, 1118, 4604, 1005, 1006, 1712, 9782, 1114, 15631, 8723, 2322, 2744, 1009, 12876, 14789, 20, 1119, 1139, 1013, 1970, 1497, 1026, 3761, 1837, 2971, 4844, 1, 1138, 9054, 27061, 1163, 10040, 10025, 12081, 3282, 1054, 4206, 92, 11225, 1571, 1195, 14742, 1009, 5309, 1009, 26017, 3072, 1046, 1377, 5011, 1195, 12590, 1114, 22668, 10702, 2170, 1890, 1006, 6496, 1009, 7413, 9629, 2975, 7687, 1072, 7414, 1009, 5829, 1187, 23465, 1424, 7346, 26176, 1005, 4798, 1009, 1094, 2531, 1043, 20022, 2480, 1478, 1043, 1026, 5428, 14216, 4906, 1026, 9054, 1195, 10921, 1356, 2670, 14902, 12656, 1068, 18051, 1094, 7182, 1114, 22668, 10702, 1187, 2138, 11110, 1482, 7269, 1264, 1566, 2284, 2281, 6738, 1118, 7413, 21847, 1068, 1006, 7245, 1009, 9459, 1112, 1049, 2956, 1049, 24184, 20, 1603, 1026, 1720, 1009, 1163, 10040, 10025, 1234, 12516, 1356, 25836, 6761, 2412, 2184, 8042, 1006, 7002, 20792, 3368, 1159, 1026, 3282, 1213, 1345, 1997, 1100, 1006, 4087, 1009, 15081, 1005, 1009, 6900, 1624, 25865, 21050, 1693, 1178, 5341, 3983, 12509, 1006, 22668, 10702, 1187, 4620, 1325, 15942, 1365, 2848, 21351, 28669, 1005, 2848, 5674, 11141, 1063, 1072, 1925, 8764, 1325, 8522, 2271, 1026, 2738, 1009, 6747, 1986, 1006, 3248, 1049, 9054, 6562, 1021, 5377, 1029, 1411, 1318, 12374, 1159, 5674, 8341, 1505, 3179, 1044, 4183, 1026, 2276, 2670, 26017, 12785, 8253, 1054, 25062, 1930, 1305, 12788, 1044, 9054, 1009, 7346, 1499, 7733, 20, 2800, 12785, 1160, 4713, 8900, 1006, 8202, 1187, 21958, 1072, 25836, 1048, 7353, 1412, 1224, 3550, 2094, 1006, 8764, 6895, 8522, 20, 13795, 17091, 1048, 12656, 4597, 1184, 10367, 1009, 13279, 1026, 9054, 18, 1094, 1472, 1048, 1026, 7346, 1049, 1235, 10921, 4121, 1196, 1132, 1184, 28172, 1049, 7026, 5414, 20, 1163, 7545, 10025, 1096, 19533, 1009, 1094, 11267, 1184, 2367, 6226, 1005, 26476, 1060, 9015, 20, 1073, 3352, 6264, 30333, 1006, 17621, 1009, 1163, 10040, 10025, 1479, 85, 1184, 5102, 10612, 1054, 2971, 1646, 1068, 1026, 5333, 15262, 1874, 620 ]

[ 1535, 1087, 2528, 1006, 12106, 1516, 1048, 1857, 5039, 7965, 1125, 29829, 1043, 1006, 25480, 1060, 16343, 1114, 4930, 10064, 1009, 2303, 1048, 1132, 9368, 1049, 5109, 1160, 6639, 1848, 1657, 1068, 1006, 19688, 1309, 1668, 5606, 1160, 5687, 1996, 1118, 2612, 1060, 30758, 3931, 1049, 29932, 6002, 3021, 4382, 1009, 17842, 1049, 5485, 8658, 9084, 75, 51, 2227, 5919, 1191, 2364, 1132, 14684, 4845, 1027, 1009, 2596, 12907, 1043, 1094, 5980, 1184, 26006, 1054, 2350, 4761, 5773, 18, 1005, 1927, 1386, 1435, 1049, 12844, 4594, 1009, 1535, 4402, 1678, 1184, 7768, 1060, 1641, 4441, 14684, 3775, 1068, 14359, 6284, 1073, 2746, 1009, 2819, 1273, 2899, 5078, 2253, 1138, 2359, 1803, 75, 1972, 16140, 3022, 1847, 1048, 1657, 2237, 3808, 1641, 1160, 1516, 7148, 1236, 1072, 2743, 5485, 20, 23870, 2448, 14359, 1328, 1005, 1073, 2746, 1009, 6130, 1201, 2241, 1043, 14684, 15475, 1060, 16343, 1043, 1026, 1080, 1053, 13846, 2826, 2005, 158, 20704, 10943, 56, 1779, 2084, 1309, 5680, 1596, 17073, 1010, 1054, 3209, 1005, 3973, 10663, 23805, 1006, 5980, 2177, 1043, 1132, 17496, 1062, 1262, 1925, 1062, 1404, 30, 1062, 4459, 1056, 1060, 16343, 1535, 1087, 2528, 1068, 1495, 1844, 9368, 20, 1138, 10354, 1068, 14359, 1328, 1005, 2899, 5078, 2253, 1138, 2359, 79, 2177, 3330, 1463, 18723, 1273, 18276, 1005, 1058, 2517, 1273, 1566, 1068, 1972, 73, 7935, 1005, 1073, 2746, 1009, 6130, 1463, 1261, 7198, 14371, 1016, 1005, 12693, 1043, 1006, 14119, 4270, 1157, 1365, 1132, 1791, 14512, 1009, 4761, 1533, 25415, 1416, 1009, 5236, 2914, 1068, 14359, 1328, 2177, 1726, 8260, 78, 12430, 9454, 1114, 1641, 4485, 2309, 4051, 1363, 3109, 1074, 1726, 8149, 78, 26, 3211, 1063, 25415, 1416, 1009, 2922, 1233, 3861, 2177, 1726, 20925, 22, 2400, 18171, 1157, 1726, 2475, 11154, 1054, 5236, 2914, 11816, 1132, 14684, 1068, 2899, 5078, 2253, 1138, 2359, 79, 3775, 1114, 1751, 1060, 6849, 16298, 1009, 5236, 2914, 1726, 24886, 9949, 18171, 1157, 1114, 1641, 1049, 7273, 1049, 5030, 1022, 1041, 1407, 15465, 1726, 21881, 16054, 1043, 25415, 1416, 1009, 2922, 1233, 3861, 1726, 21881, 27, 2400, 18171, 1157, 1054, 1106, 46, 1726, 2182, 11154, 1533, 4701, 1009, 10055, 10334, 1068, 1073, 2746, 1009, 6130, 2177, 1726, 8260, 78, 12430, 9454, 1114, 1641, 1049, 5109, 1726, 8149, 78, 26, 3211, 1063, 25415, 1416, 1009, 1073, 2746, 1009, 2922, 1233, 3861, 2177, 1726, 20925, 22, 2400, 18171, 1157, 1726, 2475, 11154, 1054, 5236, 2914, 5653, 2822, 1132, 14684, 11889, 1478, 1068, 1972, 73, 7935, 25415, 1046, 1726, 2523, 16088, 1009, 1535, 4402, 1678, 9454, 1072, 1144, 12885, 1009, 6130, 1726, 21881, 26, 2639, 1138, 24106, 2177, 3330, 1726, 22291, 22, 2400, 1043, 28800, 1114, 3861, 1726, 21243, 27, 2639, 2034, 14843, 9870, 6433, 2493, 1242, 1054, 10916, 1009, 12020, 1005, 1132, 14684, 11685, 1054, 2224, 1009, 3049, 12904, 25900, 4929, 18659, 1043, 3530, 3398, 18752, 1054, 6130, 30144, 1505, 10218, 1072, 4957, 11788, 4374, 1273, 1992, 1048, 7909, 1800, 1006, 5980, 1009, 10531, 1026, 2930, 3867, 3489, 2177, 5319, 1620, 1184, 1006, 8083, 1009, 14684, 1068, 3530, 6921, 20, 11341, 1058, 2237, 9183, 3412, 1870, 3230, 1190, 9055, 9854, 2089, 3606, 22864, 1273, 1005, 1992, 11289, 1800, 3028, 5808, 5423, 1114, 31495, 19372, 1009, 19782, 1213, 1106, 46, 7398, 1520, 1005, 1026, 5731, 1049, 2956, 1118, 2237, 5966, 626, 21281, 12636, 2330, 1077, 82, 24524, 11237, 1009, 14671, 15279, 4743, 1060, 16343, 12904, 29646, 5204, 1627, 1160, 1837, 3090, 10241, 20, 10407, 1157, 28088, 1026, 5731, 1009, 6130, 13708, 2237, 2512, 6714, 1043, 1006, 6511, 10696, 1006, 2822, 1009, 5319, 1006, 8083, 1009, 14684, 13631, 1054, 2930, 17523, 1063, 8515, 24674, 1013, 1124, 4761, 1072, 8996, 1009, 20042, 25781, 3398, 8235, 1005, 19538, 71, 1132, 1566, 2039, 8473, 3782, 2289, 4871, 1068, 1044, 3563, 3653, 5336, 16629, 1620, 1184, 31658, 1005, 3450, 1009, 1834, 1679, 5693, 152, 1554, 3423, 2668, 1096, 1044, 5628, 2512, 1318, 1068, 1026, 13971, 1147, 1049, 2826, 5120, 1566, 1048, 1026, 2017, 1172, 1529, 26012, 1160, 4564, 1124, 4761, 10517, 1312, 1233, 3861, 1946, 2469, 1309, 1213, 1784, 4324, 27561, 1026, 7778, 1009, 2956, 1009, 7846, 12104, 2274, 6318, 7141, 1029, 1047, 1533, 14345, 1386, 1435, 1049, 12844, 1009, 1535, 4402, 1678, 1006, 16343, 1566, 9392, 1054, 9787, 4761, 20, 1424, 2237, 2360, 29060, 1386, 1435, 1049, 1592, 15142, 1520, 1100, 3775, 15166, 18752, 1043, 15368, 1072, 2497, 1946, 9596, 4685, 1054, 3049, 3019, 4183, 1006, 16343, 13320, 4855, 15368, 1365, 1132, 26001, 1009, 5236, 2914, 1005, 12125, 1060, 4285, 1126, 1005, 1992, 7304, 1679, 6921, 1049, 2709, 1005, 22498, 1009, 6130, 8763, 2098, 1623, 31684, 1009, 19950, 1060, 16343, 1797, 26902, 6944, 3727, 3606, 17842, 1060, 16343, 1054, 1844, 26001, 1048, 2927, 1007, 1356, 1561, 1467, 92, 1563, 1048, 15622, 1213, 1561, 1005, 1638, 3506, 28231, 4753, 1160, 3765, 6550, 1679, 15176, 33, 1857, 3048, 21323, 1026, 1048, 2284, 2555, 19286, 1467, 96, 1075, 1467, 96, 1075, 1535, 10020, 1467, 96, 1075, 1142, 2447, 11131, 1016, 2995, 1631, 10334, 1797, 1404, 30, 1797, 1262, 1925, 1062, 1404, 30, 40, 1797, 52, 44, 8018, 76, 2914, 4073, 73, 7935, 1576, 2746, 1009, 6130, 1576, 53, 48, 30797, 5078, 2253, 1138, 2359, 79, 2555, 11030, 3576, 7567, 3576, 3562, 1328, 29298, 2555, 6699, 10664, 78, 14552, 2555, 14037, 1202, 17015, 1477, 3388, 16569, 1231, 14324, 6164, 7673, 1043, 1006, 27364, 1322, 1132, 17496, 1073, 8221, 1073, 6473, 1038, 1081, 1005, 1128, 11625, 39, 4899, 14551, 81, 28428, 2859, 1534, 10354, 1009, 2475, 6778, 1273, 16343, 6706, 1184, 1791, 3398, 17496, 5055, 1166, 1294, 4620, 19287, 2871, 12089, 1940, 2812, 3350, 1118, 17496, 2271, 13673, 1058, 14070, 1054, 1063, 15468, 29128, 23411, 1114, 3270, 14681, 11839, 15684, 1005, 29483, 25568, 8275, 20, 13694, 1096, 16854, 3883, 16772, 1072, 1063, 2393, 53, 2321, 18, 1073, 8865, 1009, 4429, 21558, 4798, 1060, 1063, 8131, 2722, 1043, 7530, 1357, 1063, 1785, 25256, 6220, 3093, 45, 85, 40, 1035, 1099, 1010, 3093, 45, 85, 22199, 2450, 3093, 24, 39, 1, 1138, 1128, 11324, 2345, 1580, 2345, 1041, 1007, 3084, 2612, 1043, 2693, 1006, 8928, 2345, 1580, 1068, 6394, 1184, 3600, 4776, 3227, 1005, 3239, 1068, 1124, 3680, 19639, 2246, 1264, 4955, 2258, 1171, 1029, 1054, 1028, 4307, 3529, 1043, 4972, 1054, 1457, 1189, 2731, 2247, 1009, 1215, 2021, 3728, 1054, 1084, 17078, 1005, 1638, 1069, 1054, 22886, 1068, 5319, 1006, 14716, 1272, 1213, 30316, 7273, 1006, 5865, 10066, 7, 1, 14452, 1060, 1224, 1944, 3289, 1159, 15213, 1620, 1054, 18157, 1006, 16950, 9623, 1195, 1026, 7732, 1221, 8, 10921, 1118, 12629, 4475, 1387, 1803, 1072, 3709, 23987, 1060, 4930, 4108, 1043, 8344, 7512, 1114, 27456, 2166, 12854, 4614, 2825, 3966, 1026, 16778, 1660, 1114, 4180, 1005, 1094, 1216, 10837, 1009, 10588, 9241, 1009, 15490, 1962, 1094, 31838, 1048, 9090, 8383, 1006, 7064, 1049, 31490, 10636, 1551, 19241, 1124, 1448, 1019, 13983, 1049, 7273, 1049, 2376, 78, 2077, 11235, 175, 2047, 1202, 1009, 6976, 1068, 1006, 7513, 1009, 10866, 9769, 3933, 1026, 1163, 10990, 3424, 13486, 1009, 22976, 7881, 1516, 1094, 11541, 1068, 1048, 1783, 1058, 24374, 1393, 1072, 9180, 20, 1063, 7969, 1060, 10713, 1060, 21376, 1318, 9241, 1009, 3311, 29940, 1629, 1068, 1026, 5102, 2397, 1056, 7706, 24181, 1456, 4181, 1150, 1035, 3975, 8, 1357, 31495, 1138, 2143, 2155, 12116, 1327, 25493, 1009, 13172, 18, 25366, 1009, 2926, 25762, 1672, 12881, 1009, 1015, 2344, 3784, 19485, 5385, 1302, 79, 9465, 33, 17625, 1129, 3382, 7661, 2472, 16608, 6304, 1009, 10809, 6495, 6304, 1054, 6496, 20, 7515, 9037, 32, 1068, 9305, 1495, 31694, 1009, 12364, 1109, 7927, 1048, 2155, 12116, 25493, 1009, 13172, 18, 12219, 2219, 1009, 2926, 25762, 1672, 12881, 1009, 1015, 2344, 3784, 19485, 5385, 1302, 79, 9465, 33, 17625, 1129, 3382, 7661, 2472, 16608, 6304, 1009, 10809, 6495, 6304, 1054, 6496, 18, 1495, 3404, 1009, 3383, 6033, 2348, 3621, 4564, 1044, 3311, 1915, 9086, 6105, 1261, 1044, 22707, 1017, 1072, 7581, 3478, 5754, 3192, 1048, 18140, 12141, 1006, 3718, 2275, 1134, 2304, 1043, 2348, 4809, 1068, 1668, 7659, 1054, 14572, 1005, 25931, 1072, 20030, 16795, 2459, 8028, 6708, 21511, 2858, 2574, 1009, 18532, 1049, 2143, 5512, 1049, 7659, 1005, 1049, 29515, 2784, 17222, 2909, 9994, 20, 20149, 4724, 8878, 9940, 7483, 1060, 5096, 1005, 1043, 3311, 1009, 21277, 79, 1114, 23957, 1633, 17419, 2282, 3058, 27807, 1043, 10121, 1009, 6870, 1229, 9868, 1049, 7659, 8183, 17047, 1005, 5905, 2989, 85, 7483, 1060, 16451, 7633, 22981, 1961, 6044, 29416, 1333, 1554, 1138, 1048, 1160, 11296, 79, 1195, 1044, 2574, 1009, 2696, 22221, 1060, 2296, 1377, 2034, 2685, 8864, 1596, 4538, 1312, 1318, 1006, 5184, 1118, 31000, 9662, 1060, 9125, 1126, 1048, 13898, 1379, 6629, 1056, 1061, 1005, 8781, 1035, 1054, 14982, 1063, 27260, 9704, 1048, 1006, 1587, 15856, 1060, 5411, 29518, 3188, 3830, 1043, 1124, 15249, 20, 5153, 1006, 1073, 9472, 1132, 10898, 1333, 1596, 16259, 1166, 1054, 1664, 1132, 12211, 10044, 1166, 1118, 6629, 1056, 1061, 1005, 8781, 1035, 1072, 1557, 1054, 1048, 3842, 1412, 11620, 3946, 1391, 1072, 1062, 13921, 3662, 1213, 2444, 1118, 1791, 1646, 1005, 2191, 20, 1063, 8274, 8999, 1006, 7689, 1009, 1101, 24538, 1009, 1721, 5454, 1044, 4313, 9251, 2490, 1009, 1783, 30100, 1009, 18055, 1043, 26861, 2445, 1538, 82, 3998, 4251, 2820, 7008, 1456, 7180, 27062, 1048, 13763, 2241, 1456, 5169, 20, 2034, 3235, 4615, 1312, 2829, 3179, 1049, 1592, 11223, 1175, 14223, 1009, 3140, 2601, 2255, 13258, 10741, 1230, 1005, 6777, 18083, 2951, 19434, 1516, 7256, 4917, 1406, 17863, 1026, 17990, 20551, 1060, 27260, 1009, 5400, 88, 3097, 1144, 18066, 2487, 10614, 1060, 5827, 1059, 29, 0, 11234, 4074, 9037, 1175, 1156, 1368, 79, 12553, 1051, 1175, 25393, 11772, 1327, 1132, 3328, 21463, 8567, 74, 2287, 1060, 1641, 37, 3713, 7573, 21486, 1261, 3675, 1188, 1213, 2729, 1049, 3407, 1048, 1327, 2739, 1124, 3918, 8567, 74, 2287, 1009, 12834, 1114, 3861, 30133, 25732, 2800, 1566, 1558, 14612, 1365, 1132, 18865, 1026, 6522, 2947, 1109, 7341, 2529, 1706, 79, 1005, 1026, 8527, 7974, 24343, 1101, 1187, 3145, 13208, 7924, 1020, 1060, 8363, 1603, 1299, 1096, 1060, 20399, 1187, 14189, 1006, 1944, 4169, 1096, 1006, 6708, 21511, 9072, 1068, 1132, 26904, 1271, 7156, 1026, 2277, 4351, 1094, 8298, 3013, 17204, 1187, 20607, 1005, 1060, 3057, 2803, 1274, 2006, 28523, 3039, 3805, 1948, 3336, 4116, 12883, 1024, 1213, 3878, 1054, 7466, 2084, 4365, 1021, 3354, 5892, 1072, 2293, 1009, 3030, 1094, 18588, 1009, 24414, 74, 4837, 3733, 1048, 2866, 1079, 1054, 7083, 1072, 1592, 4183, 1043, 5812, 7568, 7106, 1114, 8324, 3302, 14369, 4365, 1021, 6229, 1054, 17778, 15929, 6968, 3425, 1098, 19870, 3273, 1159, 2034, 18753, 1338, 6481, 2464, 12549, 1580, 1054, 9712, 22463, 1596, 1745, 1097, 1312, 1356, 1448, 21072, 5260, 2005, 1809, 12666, 9718, 11255, 4661, 1356, 4813, 1049, 13926, 19970, 3004, 4519, 1013, 3304, 15, 13658, 1048, 1335, 1893, 1005, 3251, 1118, 13707, 1187, 15315, 14654, 1048, 16240, 1072, 1561, 1054, 3973, 2643, 6411, 1009, 26179, 1213, 17523, 1138, 15693, 31763, 2182, 5942, 1009, 9928, 1005, 3140, 2826, 30475, 11037, 7369, 2485, 17026, 24786, 5511, 23197, 1411, 15142, 1520, 1229, 12773, 6777, 7253, 27517, 2826, 14836, 1365, 9918, 4116, 13877, 2451, 11276, 2823, 4773, 15787, 1005, 5492, 20, 28, 4990, 15315, 1596, 14828, 3983, 4116, 13877, 1487, 2443, 28695, 1118, 13707, 1187, 15315, 1048, 4793, 1412, 1026, 1561, 1054, 3973, 12990, 1060, 3836, 1049, 7247, 1044, 4758, 1009, 31478, 24, 1118, 13707, 1054, 1487, 4844, 1766, 10973, 2972, 15022, 1114, 8369, 1365, 1132, 17430, 1005, 12489, 1307, 2471, 31, 1118, 13707, 1049, 3225, 1009, 9693, 1072, 7751, 7996, 1140, 1726, 18446, 1009, 18220, 13825, 2105, 18, 28695, 4925, 15, 2457, 14125, 1071, 2471, 29, 4925, 15, 1005, 17275, 13825, 2105, 18, 8841, 1438, 4925, 15, 2457, 12252, 1040, 1118, 22174, 1005, 1026, 2784, 16785, 1049, 16617, 3857, 15798, 1063, 2750, 2751, 4599, 1187, 2826, 1291, 1327, 1132, 4620, 2464, 1054, 6747, 12491, 1044, 2574, 1184, 1009, 1487, 4700, 12722, 9693, 20, 4590, 1005, 4149, 13706, 16823, 1365, 1132, 6578, 3662, 26518, 10663, 1006, 1675, 0, 1005, 1779, 0, 3621, 1704, 4472, 2917, 1079, 2767, 1049, 9214, 1195, 1651, 3350, 1072, 1531, 19166, 1009, 3149, 1009, 7230, 1118, 4497, 1049, 9054, 6007, 12376, 7501, 1100, 1114, 2224, 0, 4415, 1060, 12689, 19424, 1180, 20743, 7141, 1166, 3179, 2125, 2864, 3381, 23672, 2435, 79, 16897, 1195, 7013, 13578, 2156, 2624, 1005, 1786, 21431, 1094, 1472, 1054, 2750, 8627, 20, 2494, 1944, 15415, 3653, 5336, 1026, 5995, 8516, 3517, 1060, 1422, 0, 14452, 1149, 1026, 1862, 1792, 1009, 1094, 5865 ]

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

[ 1535, 1087, 2528, 1006, 12106, 1516, 1048, 1857, 5039, 7965, 1125, 29829, 1043, 1006, 25480, 1060, 16343, 1114, 4930, 10064, 1009, 2303, 1048, 1132, 9368, 1049, 5109, 1160, 6639, 1848, 1657, 1068, 1006, 19688, 1309, 1668, 5606, 1160, 5687, 1996, 1118, 2612, 1060, 30758, 3931, 1049, 29932, 6002, 3021, 4382, 1009, 17842, 1049, 5485, 8658, 9084, 75, 51, 2227, 5919, 1191, 2364, 1132, 14684, 4845, 1027, 1009, 2596, 12907, 1043, 1094, 5980, 1184, 26006, 1054, 2350, 4761, 5773, 18, 1005, 1927, 1386, 1435, 1049, 12844, 4594, 1009, 1535, 4402, 1678, 1184, 7768, 1060, 1641, 4441, 14684, 3775, 1068, 14359, 6284, 1073, 2746, 1009, 2819, 1273, 2899, 5078, 2253, 1138, 2359, 1803, 75, 1972, 16140, 3022, 1847, 1048, 1657, 2237, 3808, 1641, 1160, 1516, 7148, 1236, 1072, 2743, 5485, 20, 23870, 2448, 14359, 1328, 1005, 1073, 2746, 1009, 6130, 1201, 2241, 1043, 14684, 15475, 1060, 16343, 1043, 1026, 1080, 1053, 13846, 2826, 2005, 158, 20704, 10943, 56, 1779, 2084, 1309, 5680, 1596, 17073, 1010, 1054, 3209, 1005, 3973, 10663, 23805, 1006, 5980, 2177, 1043, 1132, 17496, 1062, 1262, 1925, 1062, 1404, 30, 1062, 4459, 1056, 1060, 16343, 1535, 1087, 2528, 1068, 1495, 1844, 9368, 20, 1138, 10354, 1068, 14359, 1328, 1005, 2899, 5078, 2253, 1138, 2359, 79, 2177, 3330, 1463, 18723, 1273, 18276, 1005, 1058, 2517, 1273, 1566, 1068, 1972, 73, 7935, 1005, 1073, 2746, 1009, 6130, 1463, 1261, 7198, 14371, 1016, 1005, 12693, 1043, 1006, 14119, 4270, 1157, 1365, 1132, 1791, 14512, 1009, 4761, 1533, 25415, 1416, 1009, 5236, 2914, 1068, 14359, 1328, 2177, 1726, 8260, 78, 12430, 9454, 1114, 1641, 4485, 2309, 4051, 1363, 3109, 1074, 1726, 8149, 78, 26, 3211, 1063, 25415, 1416, 1009, 2922, 1233, 3861, 2177, 1726, 20925, 22, 2400, 18171, 1157, 1726, 2475, 11154, 1054, 5236, 2914, 11816, 1132, 14684, 1068, 2899, 5078, 2253, 1138, 2359, 79, 3775, 1114, 1751, 1060, 6849, 16298, 1009, 5236, 2914, 1726, 24886, 9949, 18171, 1157, 1114, 1641, 1049, 7273, 1049, 5030, 1022, 1041, 1407, 15465, 1726, 21881, 16054, 1043, 25415, 1416, 1009, 2922, 1233, 3861, 1726, 21881, 27, 2400, 18171, 1157, 1054, 1106, 46, 1726, 2182, 11154, 1533, 4701, 1009, 10055, 10334, 1068, 1073, 2746, 1009, 6130, 2177, 1726, 8260, 78, 12430, 9454, 1114, 1641, 1049, 5109, 1726, 8149, 78, 26, 3211, 1063, 25415, 1416, 1009, 1073, 2746, 1009, 2922, 1233, 3861, 2177, 1726, 20925, 22, 2400, 18171, 1157, 1726, 2475, 11154, 1054, 5236, 2914, 5653, 2822, 1132, 14684, 11889, 1478, 1068, 1972, 73, 7935, 25415, 1046, 1726, 2523, 16088, 1009, 1535, 4402, 1678, 9454, 1072, 1144, 12885, 1009, 6130, 1726, 21881, 26, 2639, 1138, 24106, 2177, 3330, 1726, 22291, 22, 2400, 1043, 28800, 1114, 3861, 1726, 21243, 27, 2639, 2034, 14843, 9870, 6433, 2493, 1242, 1054, 10916, 1009, 12020, 1005, 1132, 14684, 11685, 1054, 2224, 1009, 3049, 12904, 25900, 4929, 18659, 1043, 3530, 3398, 18752, 1054, 6130, 30144, 1505, 10218, 1072, 4957, 11788, 4374, 1273, 1992, 1048, 7909, 1800, 1006, 5980, 1009, 10531, 1026, 2930, 3867, 3489, 2177, 5319, 1620, 1184, 1006, 8083, 1009, 14684, 1068, 3530, 6921, 20, 11341, 1058, 2237, 9183, 3412, 1870, 3230, 1190, 9055, 9854, 2089, 3606, 22864, 1273, 1005, 1992, 11289, 1800, 3028, 5808, 5423, 1114, 31495, 19372, 1009, 19782, 1213, 1106, 46, 7398, 1520, 1005, 1026, 5731, 1049, 2956, 1118, 2237, 5966, 626, 21281, 12636, 2330, 1077, 82, 24524, 11237, 1009, 14671, 15279, 4743, 1060, 16343, 12904, 29646, 5204, 1627, 1160, 1837, 3090, 10241, 20, 10407, 1157, 28088, 1026, 5731, 1009, 6130, 13708, 2237, 2512, 6714, 1043, 1006, 6511, 10696, 1006, 2822, 1009, 5319, 1006, 8083, 1009, 14684, 13631, 1054, 2930, 17523, 1063, 8515, 24674, 1013, 1124, 4761, 1072, 8996, 1009, 20042, 25781, 3398, 8235, 1005, 19538, 71, 1132, 1566, 2039, 8473, 3782, 2289, 4871, 1068, 1044, 3563, 3653, 5336, 16629, 1620, 1184, 31658, 1005, 3450, 1009, 1834, 1679, 5693, 152, 1554, 3423, 2668, 1096, 1044, 5628, 2512, 1318, 1068, 1026, 13971, 1147, 1049, 2826, 5120, 1566, 1048, 1026, 2017, 1172, 1529, 26012, 1160, 4564, 1124, 4761, 10517, 1312, 1233, 3861, 1946, 2469, 1309, 1213, 1784, 4324, 27561, 1026, 7778, 1009, 2956, 1009, 7846, 12104, 2274, 6318, 7141, 1029, 1047, 1533, 14345, 1386, 1435, 1049, 12844, 1009, 1535, 4402, 1678, 1006, 16343, 1566, 9392, 1054, 9787, 4761, 20, 1424, 2237, 2360, 29060, 1386, 1435, 1049, 1592, 15142, 1520, 1100, 3775, 15166, 18752, 1043, 15368, 1072, 2497, 1946, 9596, 4685, 1054, 3049, 3019, 4183, 1006, 16343, 13320, 4855, 15368, 1365, 1132, 26001, 1009, 5236, 2914, 1005, 12125, 1060, 4285, 1126, 1005, 1992, 7304, 1679, 6921, 1049, 2709, 1005, 22498, 1009, 6130, 8763, 2098, 1623, 31684, 1009, 19950, 1060, 16343, 1797, 26902, 6944, 3727, 3606, 17842, 1060, 16343, 1054, 1844, 26001, 1048, 2927, 1007, 1356, 1561, 1467, 92, 1563, 1048, 15622, 1213, 1561, 1005, 1638, 3506, 28231, 4753, 1160, 3765, 6550, 1679, 15176, 33, 1857, 3048, 21323, 1026, 1048, 2284, 2555, 19286, 1467, 96, 1075, 1467, 96, 1075, 1535, 10020, 1467, 96, 1075, 1142, 2447, 11131, 1016, 2995, 1631, 10334, 1797, 1404, 30, 1797, 1262, 1925, 1062, 1404, 30, 40, 1797, 52, 44, 8018, 76, 2914, 4073, 73, 7935, 1576, 2746, 1009, 6130, 1576, 53, 48, 30797, 5078, 2253, 1138, 2359, 79, 2555, 11030, 3576, 7567, 3576, 3562, 1328, 29298, 2555, 6699, 10664, 78, 14552, 2555, 14037, 1202, 17015, 1477, 3388, 16569, 1231, 14324, 6164, 7673, 1043, 1006, 27364, 1322, 1132, 17496, 1073, 8221, 1073, 6473, 1038, 1081, 1005, 1128, 11625, 39, 4899, 14551, 81, 28428, 2859, 1534, 10354, 1009, 2475, 6778, 1273, 16343, 6706, 1184, 1791, 3398, 17496, 5055, 1166, 1294, 4620, 19287, 2871, 12089, 1940, 2812, 3350, 1118, 17496, 2271, 13673, 1058, 14070, 1054, 1063, 15468, 29128, 23411, 1114, 3270, 14681, 11839, 15684, 1005, 29483, 25568, 8275, 20, 13694, 1096, 16854, 3883, 16772, 1072, 1063, 2393, 53, 2321, 18, 1073, 8865, 1009, 4429, 21558, 4798, 1060, 1063, 8131, 2722, 1043, 7530, 1357, 1063, 1785, 25256, 6220, 3093, 45, 85, 40, 1035, 1099, 1010, 3093, 45, 85, 22199, 2450, 3093, 24, 39, 1, 1138, 1128, 11324, 2345, 1580, 2345, 1041, 1007, 3084, 2612, 1043, 2693, 1006, 8928, 2345, 1580, 1068, 6394, 1184, 3600, 4776, 3227, 1005, 3239, 1068, 1124, 3680, 19639, 2246, 1264, 4955, 2258, 1171, 1029, 1054, 1028, 4307, 3529, 1043, 4972, 1054, 1457, 1189, 2731, 2247, 1009, 1215, 2021, 3728, 1054, 1084, 17078, 1005, 1638, 1069, 1054, 22886, 1068, 5319, 1006, 14716, 1272, 1213, 30316, 7273, 1006, 5865, 10066, 7, 1, 14452, 1060, 1224, 1944, 3289, 1159, 15213, 1620, 1054, 18157, 1006, 16950, 9623, 1195, 1026, 7732, 1221, 8, 10921, 1118, 12629, 4475, 1387, 1803, 1072, 3709, 23987, 1060, 4930, 4108, 1043, 8344, 7512, 1114, 27456, 2166, 12854, 4614, 2825, 3966, 1026, 16778, 1660, 1114, 4180, 1005, 1094, 1216, 10837, 1009, 10588, 9241, 1009, 15490, 1962, 1094, 31838, 1048, 9090, 8383, 1006, 7064, 1049, 31490, 10636, 1551, 19241, 1124, 1448, 1019, 13983, 1049, 7273, 1049, 2376, 78, 2077, 11235, 175, 2047, 1202, 1009, 6976, 1068, 1006, 7513, 1009, 10866, 9769, 3933, 1026, 1163, 10990, 3424, 13486, 1009, 22976, 7881, 1516, 1094, 11541, 1068, 1048, 1783, 1058, 24374, 1393, 1072, 9180, 20, 1063, 7969, 1060, 10713, 1060, 21376, 1318, 9241, 1009, 3311, 29940, 1629, 1068, 1026, 5102, 2397, 1056, 7706, 24181, 1456, 4181, 1150, 1035, 3975, 8, 1357, 31495, 1138, 2143, 2155, 12116, 1327, 25493, 1009, 13172, 18, 25366, 1009, 2926, 25762, 1672, 12881, 1009, 1015, 2344, 3784, 19485, 5385, 1302, 79, 9465, 33, 17625, 1129, 3382, 7661, 2472, 16608, 6304, 1009, 10809, 6495, 6304, 1054, 6496, 20, 7515, 9037, 32, 1068, 9305, 1495, 31694, 1009, 12364, 1109, 7927, 1048, 2155, 12116, 25493, 1009, 13172, 18, 12219, 2219, 1009, 2926, 25762, 1672, 12881, 1009, 1015, 2344, 3784, 19485, 5385, 1302, 79, 9465, 33, 17625, 1129, 3382, 7661, 2472, 16608, 6304, 1009, 10809, 6495, 6304, 1054, 6496, 18, 1495, 3404, 1009, 3383, 6033, 2348, 3621, 4564, 1044, 3311, 1915, 9086, 6105, 1261, 1044, 22707, 1017, 1072, 7581, 3478, 5754, 3192, 1048, 18140, 12141, 1006, 3718, 2275, 1134, 2304, 1043, 2348, 4809, 1068, 1668, 7659, 1054, 14572, 1005, 25931, 1072, 20030, 16795, 2459, 8028, 6708, 21511, 2858, 2574, 1009, 18532, 1049, 2143, 5512, 1049, 7659, 1005, 1049, 29515, 2784, 17222, 2909, 9994, 20, 20149, 4724, 8878, 9940, 7483, 1060, 5096, 1005, 1043, 3311, 1009, 21277, 79, 1114, 23957, 1633, 17419, 2282, 3058, 27807, 1043, 10121, 1009, 6870, 1229, 9868, 1049, 7659, 8183, 17047, 1005, 5905, 2989, 85, 7483, 1060, 16451, 7633, 22981, 1961, 6044, 29416, 1333, 1554, 1138, 1048, 1160, 11296, 79, 1195, 1044, 2574, 1009, 2696, 22221, 1060, 2296, 1377, 2034, 2685, 8864, 1596, 4538, 1312, 1318, 1006, 5184, 1118, 31000, 9662, 1060, 9125, 1126, 1048, 13898, 1379, 6629, 1056, 1061, 1005, 8781, 1035, 1054, 14982, 1063, 27260, 9704, 1048, 1006, 1587, 15856, 1060, 5411, 29518, 3188, 3830, 1043, 1124, 15249, 20, 5153, 1006, 1073, 9472, 1132, 10898, 1333, 1596, 16259, 1166, 1054, 1664, 1132, 12211, 10044, 1166, 1118, 6629, 1056, 1061, 1005, 8781, 1035, 1072, 1557, 1054, 1048, 3842, 1412, 11620, 3946, 1391, 1072, 1062, 13921, 3662, 1213, 2444, 1118, 1791, 1646, 1005, 2191, 20, 1063, 8274, 8999, 1006, 7689, 1009, 1101, 24538, 1009, 1721, 5454, 1044, 4313, 9251, 2490, 1009, 1783, 30100, 1009, 18055, 1043, 26861, 2445, 1538, 82, 3998, 4251, 2820, 7008, 1456, 7180, 27062, 1048, 13763, 2241, 1456, 5169, 20, 2034, 3235, 4615, 1312, 2829, 3179, 1049, 1592, 11223, 1175, 14223, 1009, 3140, 2601, 2255, 13258, 10741, 1230, 1005, 6777, 18083, 2951, 19434, 1516, 7256, 4917, 1406, 17863, 1026, 17990, 20551, 1060, 27260, 1009, 5400, 88, 3097, 1144, 18066, 2487, 10614, 1060, 5827, 1059, 29, 0, 11234, 4074, 9037, 1175, 1156, 1368, 79, 12553, 1051, 1175, 25393, 11772, 1327, 1132, 3328, 21463, 8567, 74, 2287, 1060, 1641, 37, 3713, 7573, 21486, 1261, 3675, 1188, 1213, 2729, 1049, 3407, 1048, 1327, 2739, 1124, 3918, 8567, 74, 2287, 1009, 12834, 1114, 3861, 30133, 25732, 2800, 1566, 1558, 14612, 1365, 1132, 18865, 1026, 6522, 2947, 1109, 7341, 2529, 1706, 79, 1005, 1026, 8527, 7974, 24343, 1101, 1187, 3145, 13208, 7924, 1020, 1060, 8363, 1603, 1299, 1096, 1060, 20399, 1187, 14189, 1006, 1944, 4169, 1096, 1006, 6708, 21511, 9072, 1068, 1132, 26904, 1271, 7156, 1026, 2277, 4351, 1094, 8298, 3013, 17204, 1187, 20607, 1005, 1060, 3057, 2803, 1274, 2006, 28523, 3039, 3805, 1948, 3336, 4116, 12883, 1024, 1213, 3878, 1054, 7466, 2084, 4365, 1021, 3354, 5892, 1072, 2293, 1009, 3030, 1094, 18588, 1009, 24414, 74, 4837, 3733, 1048, 2866, 1079, 1054, 7083, 1072, 1592, 4183, 1043, 5812, 7568, 7106, 1114, 8324, 3302, 14369, 4365, 1021, 6229, 1054, 17778, 15929, 6968, 3425, 1098, 19870, 3273, 1159, 2034, 18753, 1338, 6481, 2464, 12549, 1580, 1054, 9712, 22463, 1596, 1745, 1097, 1312, 1356, 1448, 21072, 5260, 2005, 1809, 12666, 9718, 11255, 4661, 1356, 4813, 1049, 13926, 19970, 3004, 4519, 1013, 3304, 15, 13658, 1048, 1335, 1893, 1005, 3251, 1118, 13707, 1187, 15315, 14654, 1048, 16240, 1072, 1561, 1054, 3973, 2643, 6411, 1009, 26179, 1213, 17523, 1138, 15693, 31763, 2182, 5942, 1009, 9928, 1005, 3140, 2826, 30475, 11037, 7369, 2485, 17026, 24786, 5511, 23197, 1411, 15142, 1520, 1229, 12773, 6777, 7253, 27517, 2826, 14836, 1365, 9918, 4116, 13877, 2451, 11276, 2823, 4773, 15787, 1005, 5492, 20, 28, 4990, 15315, 1596, 14828, 3983, 4116, 13877, 1487, 2443, 28695, 1118, 13707, 1187, 15315, 1048, 4793, 1412, 1026, 1561, 1054, 3973, 12990, 1060, 3836, 1049, 7247, 1044, 4758, 1009, 31478, 24, 1118, 13707, 1054, 1487, 4844, 1766, 10973, 2972, 15022, 1114, 8369, 1365, 1132, 17430, 1005, 12489, 1307, 2471, 31, 1118, 13707, 1049, 3225, 1009, 9693, 1072, 7751, 7996, 1140, 1726, 18446, 1009, 18220, 13825, 2105, 18, 28695, 4925, 15, 2457, 14125, 1071, 2471, 29, 4925, 15, 1005, 17275, 13825, 2105, 18, 8841, 1438, 4925, 15, 2457, 12252, 1040, 1118, 22174, 1005, 1026, 2784, 16785, 1049, 16617, 3857, 15798, 1063, 2750, 2751, 4599, 1187, 2826, 1291, 1327, 1132, 4620, 2464, 1054, 6747, 12491, 1044, 2574, 1184, 1009, 1487, 4700, 12722, 9693, 20, 4590, 1005, 4149, 13706, 16823, 1365, 1132, 6578, 3662, 26518, 10663, 1006, 1675, 0, 1005, 1779, 0, 3621, 1704, 4472, 2917, 1079, 2767, 1049, 9214, 1195, 1651, 3350, 1072, 1531, 19166, 1009, 3149, 1009, 7230, 1118, 4497, 1049, 9054, 6007, 12376, 7501, 1100, 1114, 2224, 0, 4415, 1060, 12689, 19424, 1180, 20743, 7141, 1166, 3179, 2125, 2864, 3381, 23672, 2435, 79, 16897, 1195, 7013, 13578, 2156, 2624, 1005, 1786, 21431, 1094, 1472, 1054, 2750, 8627, 20, 2494, 1944, 15415, 3653, 5336, 1026, 5995, 8516, 3517, 1060, 1422, 0, 14452, 1149, 1026, 1862, 1792, 1009, 1094, 5865 ]

[ 10428, 2995, 1609, 71, 13168, 1154, 5619, 14449, 89, 1479, 1083, 2102, 1479, 5251, 3882, 1610, 1402, 1576, 3465, 1045, 1303, 1054, 1495, 1101, 94, 1009, 2824, 25, 2308, 10254, 1015, 21, 10963, 2995, 1609, 71, 13168, 1154, 5619, 14449, 89, 1175, 1083, 2102, 1175, 5251, 3882, 1610, 1402, 5020, 5640, 1106, 7521, 39, 13, 1476, 1027, 6154, 9194, 92, 3607, 1114, 6386, 21100, 1187, 1106, 7521, 39, 3490, 7573, 1327, 1150, 2911, 1189, 3500, 8, 1068, 2453, 1049, 11602, 16465, 1571, 2755, 1807, 1751, 1049, 29726, 4441, 1106, 7521, 39, 3490, 1693, 1178, 1318, 1094, 6808, 14995, 1068, 1132, 9551, 1890, 1006, 20786, 7043, 1766, 1106, 7521, 39, 3490, 5087, 1040, 1026, 5654, 2542, 1182, 14895, 1071, 4170, 15952, 15, 1072, 11602, 16465, 18, 1044, 13020, 10472, 1048, 3629, 1493, 1114, 10647, 1187, 24263, 1575, 1016, 1704, 1106, 7521, 39, 1683, 17088, 14570, 158, 1598, 5408, 1043, 1132, 1307, 30789, 1402, 10956, 1142, 29415, 1843, 3097, 1142, 20453, 4420, 1418, 73, 1342, 1005, 1142, 19, 5285, 3097, 1184, 8903, 1159, 30789, 1402, 1009, 11228, 6466, 7869, 4045, 7521, 8254, 1565, 1063, 20730, 1009, 1101, 9016, 2629, 1018, 5420, 4662, 26, 77, 5473, 30789, 1402, 1184, 19083, 1106, 28, 25257, 1036, 1130, 1101, 13046, 12830, 9016, 2629, 1018, 1009, 1106, 7521, 39, 1683, 17088, 14570, 10972, 1531, 1206, 5219, 9081, 1009, 6023, 8826, 17625, 1129, 7407, 1, 26762, 1040, 8817, 2360, 1795, 13602, 1049, 7590, 3584, 11035, 1034, 1175, 4300, 18012, 5919, 26762, 1040, 1175, 1387, 1699, 1134, 1041, 3543, 12032, 1467, 26762, 1040, 1195, 1006, 4553, 1118, 1867, 1024, 1006, 2360, 1795, 13602, 1049, 7590, 3584, 11035, 1411, 1060, 7049, 1119, 0, 22060, 1764, 6891, 18, 1054, 8750, 20, 1063, 21269, 2612, 1043, 1026, 1048, 1837, 1009, 1184, 21315, 1054, 4639, 1068, 1026, 4618, 1009, 8752, 4328, 11550, 1005, 1225, 1118, 3489, 26360, 4544, 88, 1068, 1111, 29130, 1006, 1429, 1272, 1009, 24772, 1009, 28780, 89, 4208, 1081, 1065, 1102, 1072, 8653, 3517, 1005, 5275, 1006, 3450, 1049, 5883, 3967, 1069, 1726, 20142, 1005, 8752, 4328, 2812, 7425, 1, 5139, 4214, 2201, 7296, 1246, 15, 29064, 1048, 25846, 1265, 1400, 1668, 2446, 1009, 20605, 1043, 1044, 6502, 1118, 1009, 1030, 21098, 2013, 2631, 3291, 1048, 6546, 13591, 2643, 1094, 5741, 1009, 2011, 1005, 5036, 5767, 2072, 31594, 7, 1, 1063, 4556, 1322, 1026, 7093, 1009, 26219, 12712, 77, 4190, 1005, 15409, 4138, 4872, 20922, 1175, 31881, 15162, 2001, 1009, 17649, 1056, 31777, 6741, 2135, 1163, 17159, 1551, 12619, 1434, 29922, 2363, 2135, 3487, 1009, 2992, 1009, 3209, 14940, 2721, 14095, 58, 11731, 1134, 1684, 16198, 1239, 8731, 1114, 1062, 61, 1054, 8683, 1195, 1044, 3189, 15000, 23193, 1365, 1132, 13111, 1009, 1664, 1132, 5679, 4846, 30030, 11744, 1006, 14825, 1049, 15695, 4108, 1195, 16691, 1048, 1124, 13007, 4084, 3783, 26219, 12712, 77, 4190, 14313, 3201, 1159, 1142, 6252, 95, 2695, 2196, 1318, 3201, 1159, 4858, 6268, 2399, 11120, 15, 1005, 15409, 4138, 4872, 20922, 14313, 3201, 1159, 1006, 10150, 10325, 2549, 12382, 8889, 15, 3586, 6927, 15417, 1114, 1834, 2733, 1175, 1992, 1159, 1456, 5138, 20, 7339, 1024, 1322, 23778, 8633, 1021, 37, 15844, 6995, 1159, 1132, 7886, 2364, 1718, 3982, 1124, 3469, 6736, 1160, 12080, 4918, 1365, 1132, 22276, 1048, 1058, 3959, 1202, 1054, 14931, 2605, 1006, 2042, 1009, 3445, 4313, 6313, 150, 1068, 1927, 1134, 1684, 16198, 1239, 8211, 4807, 2271, 1175, 9225, 1009, 1015, 1162, 14201, 1493, 17290, 1047, 1175, 4858, 1005, 10150, 15691, 8312, 1072, 1852, 1060, 23442, 7804, 4803, 6530, 1068, 1026, 7093, 1009, 12712, 77, 4190, 1005, 4872, 20922, 1114, 6046, 1005, 1318, 1068, 1026, 1048, 5140, 1846, 1048, 1857, 10446, 2644, 2098, 3889, 12712, 77, 4190, 1005, 15409, 4138, 4872, 20922, 8901, 20228, 3647, 1026, 7093, 1054, 12659, 6702, 15409, 4138, 4872, 20922, 1005, 26219, 12712, 77, 4190, 6884, 1006, 6927, 10324, 1054, 8683, 1857, 6470, 1026, 2481, 1068, 3647, 1026, 7246, 4885, 1175, 1309, 4108, 1006, 4556, 5857, 1233, 16403, 1377, 3735, 2615, 1140, 1322, 1132, 20765, 1049, 7093, 1072, 2738, 1009, 7624, 4872, 20922, 18144, 1379, 1048, 2829, 1657, 13997, 6909, 19814, 2457, 21975, 1902, 1784, 1927, 9047, 8756, 1024, 1224, 1834, 4987, 1206, 2837, 3469, 1048, 1160, 1826, 3062, 3555, 2013, 16997, 17530, 13, 1084, 1054, 7708, 2498, 20733, 2256, 1646, 1134, 1684, 16198, 1239, 5710, 1009, 9914, 2457, 1006, 5093, 5028, 1430, 1271, 3270, 1854, 8836, 80, 1708, 16652, 9964, 2122, 14797, 3635, 1059, 13, 50, 1545, 1048, 2284, 1044, 3311, 1054, 1048, 25901, 1043, 5832, 1009, 1159, 5426, 10034, 7531, 1322, 5084, 1233, 3028, 1834, 3467, 18873, 1178, 3675, 1580, 1118, 3794, 23659, 2820, 1973, 4872, 20922, 1233, 5623, 20, 1538, 65, 7805, 2276, 67, 3230, 2381, 22015, 32, 13, 11413, 11281, 1096, 7215, 1616, 1048, 1857, 6639, 20, 1538, 5126, 20228, 1048, 1664, 3230, 6927, 1017, 3706, 2315, 3555, 2246, 2276, 1616, 5565, 1079, 2693, 1006, 5360, 1485, 8659, 2034, 1783, 7937, 4883, 3057, 7118, 3720, 9964, 1620, 1159, 1132, 1791, 20033, 1058, 5937, 4433, 33, 2246, 1687, 18367, 1124, 10529, 8637, 1072, 2279, 1005, 1409, 9481, 1132, 7886, 3048, 8651, 9673, 1009, 3754, 1058, 1124, 5795, 1187, 2620, 1052, 96, 12282, 1009, 4872, 20922, 1005, 12712, 77, 4190, 22474, 2829, 1049, 4299, 1206, 1009, 1235, 7093, 1114, 1834, 20327, 6771, 4682, 1687, 9131, 2433, 1205, 44, 2457, 1538, 5552, 7475, 1026, 1048, 1195, 28718, 1195, 32, 6004, 14440, 2289, 3449, 7155, 1049, 2790, 1009, 18518, 1309, 1096, 2072, 3630, 1118, 2453, 20, 13, 2656, 1325, 5573, 7215, 1026, 1048, 1516, 25280, 1027, 3630, 2820, 8261, 12474, 1048, 1857, 1160, 1327, 1456, 5138, 1156, 5901, 18, 1381, 5239, 25639, 1318, 26824, 1006, 15364, 1054, 12659, 1318, 2875, 1040, 2252, 1124, 5025, 1009, 3445, 4217, 83, 1068, 14249, 1005, 15409, 4138, 4872, 20922, 1005, 26219, 12712, 77, 4190, 9686, 1213, 2822, 1054, 14931, 1551, 2303, 1043, 1084, 7, 31881, 2457, 1026, 1415, 1298, 1261, 1058, 18348, 2408, 1213, 6825, 4965, 18277, 1175, 12712, 77, 4190, 1836, 7481, 1157, 1213, 2790, 1009, 28829, 19671, 1054, 1084, 25068, 1063, 2097, 4872, 20922, 1836, 1054, 1063, 1641, 1043, 4341, 29923, 82, 4529, 4908, 2268, 1857, 13753, 1412, 1224, 6517, 1049, 1134, 1684, 16198, 1239, 7335, 1005, 2759, 1054, 1831, 15682, 2800, 13007, 2099, 18884, 1005, 6971, 22681, 2634, 16957, 1368, 11302, 1079, 7708, 2498, 20733, 2457, 21165, 1184, 20338, 1526, 1195, 1048, 1503, 11081, 1072, 2279, 1060, 2750, 3337, 1048, 15409, 4138, 1005, 26219, 7444, 30787, 3952, 1996, 3555, 5126, 26824, 1616, 6794, 1009, 13054, 1026, 1048, 1096, 1094, 5274, 1009, 15507, 8811, 1857, 1327, 1159, 11415, 20, 14013, 1857, 1160, 20228, 1048, 1235, 8345, 4987, 1058, 2852, 1993, 1043, 1026, 26000, 5126, 3711, 1160, 13728, 3819, 8345, 4987, 1957, 1527, 4492, 6440, 1048, 1574, 1506, 1062, 8803, 5797, 9290, 1079, 1989, 9151, 1054, 2188, 1291, 1026, 1048, 5934, 1213, 5595, 1054, 3383, 1009, 16202, 1551, 2303, 1043, 2231, 1126, 1062, 8803, 5797, 13860, 1132, 4472, 28054, 1219, 1159, 1538, 1016, 1783, 1184, 6772, 3716, 1049, 1784, 13, 1890, 13953, 29651, 675, 2098, 3889, 12712, 77, 4190, 7600, 15409, 4138, 4872, 20922, 1009, 1235, 22892, 1739, 13, 26965, 1114, 6046, 3555, 1005, 1235, 28992, 1586, 8325, 3026, 26219, 12712, 77, 4190, 7981, 1054, 2188, 1291, 1026, 1048, 5934, 1213, 5595, 1054, 3261, 1009, 7230, 1044, 2318, 1458, 7296, 1322, 1235, 7246, 1043, 15409, 4138, 4872, 20922, 5857, 1233, 16403, 1377, 1551, 2303, 1043, 6244, 20186, 31601, 3126, 5975, 1006, 12712, 77, 4190, 1048, 5665, 1993, 1456, 15180, 5282, 1114, 6046, 2124, 8106, 1026, 1205, 8192, 133, 57, 1063, 8569, 9131, 2433, 1048, 1132, 15180, 5282, 1114, 6046, 1160, 1327, 1538, 1013, 1102, 2820, 12712, 77, 4190, 16600, 4872, 20922, 1068, 1235, 1853, 20125, 1100, 1566, 1048, 1857, 25280, 4888, 1044, 7246, 1114, 4180, 10415, 1776, 2268, 1511, 4064, 1006, 3907, 1009, 6016, 1026, 8976, 18, 1264, 1318, 8583, 21975, 14323, 15409, 4138, 1846, 1048, 3501, 1508, 13, 5653, 6781, 1456, 5812, 1322, 1159, 4524, 8312, 1986, 1026, 17009, 29890, 1026, 1048, 1235, 13007, 4196, 1005, 8271, 10680, 20, 12712, 77, 4190, 9964, 1054, 13953, 29651, 2457, 1538, 25900, 1096, 10799, 3472, 3628, 4085, 20, 1084, 5956, 1048, 3230, 1791, 3244, 8587, 2997, 1044, 11241, 1328, 1463, 13436, 1118, 4125, 1118, 1616, 3555, 10770, 15284, 1508, 1043, 9282, 5113, 2921, 5521, 1264, 8951, 1322, 1006, 6517, 1054, 1094, 6521, 1043, 3720, 1054, 14601, 12712, 77, 4190, 1973, 1233, 5623, 32, 23929, 1031, 1508, 1493, 11464, 1072, 15695, 1048, 1054, 4384, 1516, 1044, 4902, 1009, 8202, 1009, 4234, 4844, 17058, 7246, 9251, 1751, 5816, 1005, 1294, 9121, 1006, 2201, 21131, 12331, 16005, 1159, 2073, 3616, 1581, 18304, 1195, 3593, 1005, 12647, 1005, 1195, 1094, 3513, 1009, 9265, 2270, 1538, 2200, 1318, 9923, 5645, 6521, 1048, 5444, 1094, 2423, 1068, 2252, 1124, 3680, 1048, 6927, 1017, 3205, 1309, 1058, 16069, 1006, 8748, 2073, 10421, 9806, 1018, 4472, 45, 3281, 1192, 13041, 14665, 19175, 13758, 1053, 1159, 1026, 7246, 1009, 15409, 4138, 4872, 20922, 1005, 26219, 12712, 77, 4190, 2845, 1072, 2279, 18, 1687, 1005, 2364, 9381, 18694, 29367, 3333, 89, 8311, 1072, 1142, 1120, 7151, 9953, 3957, 1054, 14931, 5126, 2845, 1006, 6927, 10324, 1054, 3268, 1009, 4127, 2457, 1068, 19814, 2457, 14992, 1094, 4633, 1114, 4180, 1048, 8583, 1538, 15398, 1327, 1493, 1415, 20, 5126, 1327, 3711, 18659, 28236, 4872, 20922, 1005, 29367, 3333, 89, 1058, 1384, 1412, 1054, 3042, 1009, 3977, 1005, 2364, 1327, 4090, 1009, 2125, 5089, 29929, 1053, 1069, 1160, 1096, 1026, 3872, 1048, 9952, 1054, 3349, 1175, 12712, 77, 4190, 1096, 15310, 1043, 4660, 1468, 15914, 4138, 2124, 1063, 7779, 1058, 14067, 28338, 1016, 2624, 15, 1054, 7123, 1005, 1058, 1026, 26589, 5493, 3449, 26576, 6178, 1096, 2246, 1224, 7668, 1180, 1040, 1549, 15914, 4138, 1836, 1114, 31112, 20, 6624, 2227, 2124, 28616, 168, 1160, 1096, 1044, 6159, 33, 1687, 6471, 1159, 1049, 1814, 1005, 13433, 2124, 1482, 1044, 1073, 2770, 2051, 1072, 9891, 1482, 3049, 1009, 7267, 12712, 77, 4190, 6701, 1322, 1224, 16692, 15171, 32, 1538, 8361, 10312, 1096, 1094, 6882, 9732, 78, 4882, 1511, 1299, 1325, 5450, 20, 1972, 9210, 1503, 1927, 12720, 1178, 1094, 4633, 1009, 6882, 20, 4714, 3711, 5450, 1118, 4732, 15310, 22566, 12712, 77, 4190, 1005, 4872, 20922, 3501, 1046, 1043, 2089, 6963, 1160, 3449, 5265, 3819, 8620, 12647, 20087, 6633, 3423, 2668, 1857, 1927, 9870, 1044, 1187, 17495, 1184, 19054, 2445, 11791, 14, 1925, 6046, 15, 1009, 1134, 1684, 16198, 1239, 16234, 1, 25724, 32, 1142, 1102, 26436, 2662, 30110, 1026, 2822, 1187, 1646, 24451, 1006, 8565, 1009, 19090, 1060, 28532, 18, 1054, 4831, 1468, 1009, 1764, 18113, 4452, 2845, 1006, 1178, 3050, 1140, 1118, 4614, 23618, 1009, 2089, 5314, 1049, 5108, 8298, 1140, 1043, 1006, 3938, 1005, 14814, 3888, 1054, 16126, 2413, 1049, 3619, 1052, 168, 20, 2034, 6194, 1005, 1132, 9471, 8298, 1166, 7949, 2276, 1006, 5587, 18019, 1072, 12277, 3316, 6723, 5816, 1096, 1006, 7140, 9016, 7151, 1271, 20130, 1273, 1048, 1325, 11039, 1114, 6586, 2751, 1060, 9388, 1126, 13884, 21403, 1005, 12508, 1048, 12489, 28550, 2485, 11244, 1005, 6273, 8054, 1034, 1533, 2573, 4857, 1094, 11276, 12531, 26935, 1841, 12311, 1094, 3187, 7151, 12870, 3424, 2605, 1213, 7462, 1049, 1048, 1132, 4181, 7363, 1010, 2381, 9334, 1160, 1058, 1211, 1589, 1009, 1044, 1080, 1930, 1309, 1009, 1094, 22118, 1009, 3374, 20, 1073, 3340, 18378, 3102, 1005, 31675, 1060, 2573, 1096, 2481, 2808, 1124, 21403, 1009, 6873, 11647, 84, 1056, 1005, 1124, 12508, 1009, 19323, 1119, 3362, 1704, 2743, 1096, 15673, 1049, 17197, 14285, 8054, 1034, 22308, 1223, 9464, 1043, 26714, 1060, 2451, 2386, 18324, 64, 9276, 2951, 4614, 6471, 1006, 2323, 1060, 14466, 6495, 1006, 4614, 13012, 1026, 14994, 1005, 20892, 4577, 4051, 1048, 1234, 3654, 1068, 14052, 3592, 12454, 21398, 2612, 1006, 1318, 6035, 8629, 1694, 25414, 1048, 14930, 1049, 2568, 1009, 1651, 7078, 3994, 1006, 6873, 20, 20130, 1016, 1005, 5138, 17666, 5322, 1009, 21836, 3215, 5006, 10856, 1273, 16782, 10442, 1005, 1172, 1917, 3662, 18475, 1026, 2011, 1673, 2038, 3617, 4049, 21146, 1127, 1508, 1006, 4253, 28550, 2328, 1060, 29637, 12454, 1005, 5409, 3247, 1988, 1006, 1428, 2111, 1508, 4306, 28082, 29235, 15419, 1026, 1048, 1026, 3266, 3563, 1294, 4351, 1406, 1919, 1006, 6820, 1049, 17197, 3021, 22278, 1096, 27201, 1089, 17744, 1005, 8629, 1694, 1096, 1009, 10348, 4228, 48, 1565, 18245, 13728, 1006, 1641, 3454, 5531, 2646, 1837, 1791, 1646, 1068, 6313, 1114, 17345, 1009, 19090, 1060, 28532, 20, 5011, 12602, 1009, 4203, 1005, 21855, 7439, 1569, 6194, 1309, 1096 ]

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

[ 10428, 2995, 1609, 71, 13168, 1154, 5619, 14449, 89, 1479, 1083, 2102, 1479, 5251, 3882, 1610, 1402, 1576, 3465, 1045, 1303, 1054, 1495, 1101, 94, 1009, 2824, 25, 2308, 10254, 1015, 21, 10963, 2995, 1609, 71, 13168, 1154, 5619, 14449, 89, 1175, 1083, 2102, 1175, 5251, 3882, 1610, 1402, 5020, 5640, 1106, 7521, 39, 13, 1476, 1027, 6154, 9194, 92, 3607, 1114, 6386, 21100, 1187, 1106, 7521, 39, 3490, 7573, 1327, 1150, 2911, 1189, 3500, 8, 1068, 2453, 1049, 11602, 16465, 1571, 2755, 1807, 1751, 1049, 29726, 4441, 1106, 7521, 39, 3490, 1693, 1178, 1318, 1094, 6808, 14995, 1068, 1132, 9551, 1890, 1006, 20786, 7043, 1766, 1106, 7521, 39, 3490, 5087, 1040, 1026, 5654, 2542, 1182, 14895, 1071, 4170, 15952, 15, 1072, 11602, 16465, 18, 1044, 13020, 10472, 1048, 3629, 1493, 1114, 10647, 1187, 24263, 1575, 1016, 1704, 1106, 7521, 39, 1683, 17088, 14570, 158, 1598, 5408, 1043, 1132, 1307, 30789, 1402, 10956, 1142, 29415, 1843, 3097, 1142, 20453, 4420, 1418, 73, 1342, 1005, 1142, 19, 5285, 3097, 1184, 8903, 1159, 30789, 1402, 1009, 11228, 6466, 7869, 4045, 7521, 8254, 1565, 1063, 20730, 1009, 1101, 9016, 2629, 1018, 5420, 4662, 26, 77, 5473, 30789, 1402, 1184, 19083, 1106, 28, 25257, 1036, 1130, 1101, 13046, 12830, 9016, 2629, 1018, 1009, 1106, 7521, 39, 1683, 17088, 14570, 10972, 1531, 1206, 5219, 9081, 1009, 6023, 8826, 17625, 1129, 7407, 1, 26762, 1040, 8817, 2360, 1795, 13602, 1049, 7590, 3584, 11035, 1034, 1175, 4300, 18012, 5919, 26762, 1040, 1175, 1387, 1699, 1134, 1041, 3543, 12032, 1467, 26762, 1040, 1195, 1006, 4553, 1118, 1867, 1024, 1006, 2360, 1795, 13602, 1049, 7590, 3584, 11035, 1411, 1060, 7049, 1119, 0, 22060, 1764, 6891, 18, 1054, 8750, 20, 1063, 21269, 2612, 1043, 1026, 1048, 1837, 1009, 1184, 21315, 1054, 4639, 1068, 1026, 4618, 1009, 8752, 4328, 11550, 1005, 1225, 1118, 3489, 26360, 4544, 88, 1068, 1111, 29130, 1006, 1429, 1272, 1009, 24772, 1009, 28780, 89, 4208, 1081, 1065, 1102, 1072, 8653, 3517, 1005, 5275, 1006, 3450, 1049, 5883, 3967, 1069, 1726, 20142, 1005, 8752, 4328, 2812, 7425, 1, 5139, 4214, 2201, 7296, 1246, 15, 29064, 1048, 25846, 1265, 1400, 1668, 2446, 1009, 20605, 1043, 1044, 6502, 1118, 1009, 1030, 21098, 2013, 2631, 3291, 1048, 6546, 13591, 2643, 1094, 5741, 1009, 2011, 1005, 5036, 5767, 2072, 31594, 7, 1, 1063, 4556, 1322, 1026, 7093, 1009, 26219, 12712, 77, 4190, 1005, 15409, 4138, 4872, 20922, 1175, 31881, 15162, 2001, 1009, 17649, 1056, 31777, 6741, 2135, 1163, 17159, 1551, 12619, 1434, 29922, 2363, 2135, 3487, 1009, 2992, 1009, 3209, 14940, 2721, 14095, 58, 11731, 1134, 1684, 16198, 1239, 8731, 1114, 1062, 61, 1054, 8683, 1195, 1044, 3189, 15000, 23193, 1365, 1132, 13111, 1009, 1664, 1132, 5679, 4846, 30030, 11744, 1006, 14825, 1049, 15695, 4108, 1195, 16691, 1048, 1124, 13007, 4084, 3783, 26219, 12712, 77, 4190, 14313, 3201, 1159, 1142, 6252, 95, 2695, 2196, 1318, 3201, 1159, 4858, 6268, 2399, 11120, 15, 1005, 15409, 4138, 4872, 20922, 14313, 3201, 1159, 1006, 10150, 10325, 2549, 12382, 8889, 15, 3586, 6927, 15417, 1114, 1834, 2733, 1175, 1992, 1159, 1456, 5138, 20, 7339, 1024, 1322, 23778, 8633, 1021, 37, 15844, 6995, 1159, 1132, 7886, 2364, 1718, 3982, 1124, 3469, 6736, 1160, 12080, 4918, 1365, 1132, 22276, 1048, 1058, 3959, 1202, 1054, 14931, 2605, 1006, 2042, 1009, 3445, 4313, 6313, 150, 1068, 1927, 1134, 1684, 16198, 1239, 8211, 4807, 2271, 1175, 9225, 1009, 1015, 1162, 14201, 1493, 17290, 1047, 1175, 4858, 1005, 10150, 15691, 8312, 1072, 1852, 1060, 23442, 7804, 4803, 6530, 1068, 1026, 7093, 1009, 12712, 77, 4190, 1005, 4872, 20922, 1114, 6046, 1005, 1318, 1068, 1026, 1048, 5140, 1846, 1048, 1857, 10446, 2644, 2098, 3889, 12712, 77, 4190, 1005, 15409, 4138, 4872, 20922, 8901, 20228, 3647, 1026, 7093, 1054, 12659, 6702, 15409, 4138, 4872, 20922, 1005, 26219, 12712, 77, 4190, 6884, 1006, 6927, 10324, 1054, 8683, 1857, 6470, 1026, 2481, 1068, 3647, 1026, 7246, 4885, 1175, 1309, 4108, 1006, 4556, 5857, 1233, 16403, 1377, 3735, 2615, 1140, 1322, 1132, 20765, 1049, 7093, 1072, 2738, 1009, 7624, 4872, 20922, 18144, 1379, 1048, 2829, 1657, 13997, 6909, 19814, 2457, 21975, 1902, 1784, 1927, 9047, 8756, 1024, 1224, 1834, 4987, 1206, 2837, 3469, 1048, 1160, 1826, 3062, 3555, 2013, 16997, 17530, 13, 1084, 1054, 7708, 2498, 20733, 2256, 1646, 1134, 1684, 16198, 1239, 5710, 1009, 9914, 2457, 1006, 5093, 5028, 1430, 1271, 3270, 1854, 8836, 80, 1708, 16652, 9964, 2122, 14797, 3635, 1059, 13, 50, 1545, 1048, 2284, 1044, 3311, 1054, 1048, 25901, 1043, 5832, 1009, 1159, 5426, 10034, 7531, 1322, 5084, 1233, 3028, 1834, 3467, 18873, 1178, 3675, 1580, 1118, 3794, 23659, 2820, 1973, 4872, 20922, 1233, 5623, 20, 1538, 65, 7805, 2276, 67, 3230, 2381, 22015, 32, 13, 11413, 11281, 1096, 7215, 1616, 1048, 1857, 6639, 20, 1538, 5126, 20228, 1048, 1664, 3230, 6927, 1017, 3706, 2315, 3555, 2246, 2276, 1616, 5565, 1079, 2693, 1006, 5360, 1485, 8659, 2034, 1783, 7937, 4883, 3057, 7118, 3720, 9964, 1620, 1159, 1132, 1791, 20033, 1058, 5937, 4433, 33, 2246, 1687, 18367, 1124, 10529, 8637, 1072, 2279, 1005, 1409, 9481, 1132, 7886, 3048, 8651, 9673, 1009, 3754, 1058, 1124, 5795, 1187, 2620, 1052, 96, 12282, 1009, 4872, 20922, 1005, 12712, 77, 4190, 22474, 2829, 1049, 4299, 1206, 1009, 1235, 7093, 1114, 1834, 20327, 6771, 4682, 1687, 9131, 2433, 1205, 44, 2457, 1538, 5552, 7475, 1026, 1048, 1195, 28718, 1195, 32, 6004, 14440, 2289, 3449, 7155, 1049, 2790, 1009, 18518, 1309, 1096, 2072, 3630, 1118, 2453, 20, 13, 2656, 1325, 5573, 7215, 1026, 1048, 1516, 25280, 1027, 3630, 2820, 8261, 12474, 1048, 1857, 1160, 1327, 1456, 5138, 1156, 5901, 18, 1381, 5239, 25639, 1318, 26824, 1006, 15364, 1054, 12659, 1318, 2875, 1040, 2252, 1124, 5025, 1009, 3445, 4217, 83, 1068, 14249, 1005, 15409, 4138, 4872, 20922, 1005, 26219, 12712, 77, 4190, 9686, 1213, 2822, 1054, 14931, 1551, 2303, 1043, 1084, 7, 31881, 2457, 1026, 1415, 1298, 1261, 1058, 18348, 2408, 1213, 6825, 4965, 18277, 1175, 12712, 77, 4190, 1836, 7481, 1157, 1213, 2790, 1009, 28829, 19671, 1054, 1084, 25068, 1063, 2097, 4872, 20922, 1836, 1054, 1063, 1641, 1043, 4341, 29923, 82, 4529, 4908, 2268, 1857, 13753, 1412, 1224, 6517, 1049, 1134, 1684, 16198, 1239, 7335, 1005, 2759, 1054, 1831, 15682, 2800, 13007, 2099, 18884, 1005, 6971, 22681, 2634, 16957, 1368, 11302, 1079, 7708, 2498, 20733, 2457, 21165, 1184, 20338, 1526, 1195, 1048, 1503, 11081, 1072, 2279, 1060, 2750, 3337, 1048, 15409, 4138, 1005, 26219, 7444, 30787, 3952, 1996, 3555, 5126, 26824, 1616, 6794, 1009, 13054, 1026, 1048, 1096, 1094, 5274, 1009, 15507, 8811, 1857, 1327, 1159, 11415, 20, 14013, 1857, 1160, 20228, 1048, 1235, 8345, 4987, 1058, 2852, 1993, 1043, 1026, 26000, 5126, 3711, 1160, 13728, 3819, 8345, 4987, 1957, 1527, 4492, 6440, 1048, 1574, 1506, 1062, 8803, 5797, 9290, 1079, 1989, 9151, 1054, 2188, 1291, 1026, 1048, 5934, 1213, 5595, 1054, 3383, 1009, 16202, 1551, 2303, 1043, 2231, 1126, 1062, 8803, 5797, 13860, 1132, 4472, 28054, 1219, 1159, 1538, 1016, 1783, 1184, 6772, 3716, 1049, 1784, 13, 1890, 13953, 29651, 675, 2098, 3889, 12712, 77, 4190, 7600, 15409, 4138, 4872, 20922, 1009, 1235, 22892, 1739, 13, 26965, 1114, 6046, 3555, 1005, 1235, 28992, 1586, 8325, 3026, 26219, 12712, 77, 4190, 7981, 1054, 2188, 1291, 1026, 1048, 5934, 1213, 5595, 1054, 3261, 1009, 7230, 1044, 2318, 1458, 7296, 1322, 1235, 7246, 1043, 15409, 4138, 4872, 20922, 5857, 1233, 16403, 1377, 1551, 2303, 1043, 6244, 20186, 31601, 3126, 5975, 1006, 12712, 77, 4190, 1048, 5665, 1993, 1456, 15180, 5282, 1114, 6046, 2124, 8106, 1026, 1205, 8192, 133, 57, 1063, 8569, 9131, 2433, 1048, 1132, 15180, 5282, 1114, 6046, 1160, 1327, 1538, 1013, 1102, 2820, 12712, 77, 4190, 16600, 4872, 20922, 1068, 1235, 1853, 20125, 1100, 1566, 1048, 1857, 25280, 4888, 1044, 7246, 1114, 4180, 10415, 1776, 2268, 1511, 4064, 1006, 3907, 1009, 6016, 1026, 8976, 18, 1264, 1318, 8583, 21975, 14323, 15409, 4138, 1846, 1048, 3501, 1508, 13, 5653, 6781, 1456, 5812, 1322, 1159, 4524, 8312, 1986, 1026, 17009, 29890, 1026, 1048, 1235, 13007, 4196, 1005, 8271, 10680, 20, 12712, 77, 4190, 9964, 1054, 13953, 29651, 2457, 1538, 25900, 1096, 10799, 3472, 3628, 4085, 20, 1084, 5956, 1048, 3230, 1791, 3244, 8587, 2997, 1044, 11241, 1328, 1463, 13436, 1118, 4125, 1118, 1616, 3555, 10770, 15284, 1508, 1043, 9282, 5113, 2921, 5521, 1264, 8951, 1322, 1006, 6517, 1054, 1094, 6521, 1043, 3720, 1054, 14601, 12712, 77, 4190, 1973, 1233, 5623, 32, 23929, 1031, 1508, 1493, 11464, 1072, 15695, 1048, 1054, 4384, 1516, 1044, 4902, 1009, 8202, 1009, 4234, 4844, 17058, 7246, 9251, 1751, 5816, 1005, 1294, 9121, 1006, 2201, 21131, 12331, 16005, 1159, 2073, 3616, 1581, 18304, 1195, 3593, 1005, 12647, 1005, 1195, 1094, 3513, 1009, 9265, 2270, 1538, 2200, 1318, 9923, 5645, 6521, 1048, 5444, 1094, 2423, 1068, 2252, 1124, 3680, 1048, 6927, 1017, 3205, 1309, 1058, 16069, 1006, 8748, 2073, 10421, 9806, 1018, 4472, 45, 3281, 1192, 13041, 14665, 19175, 13758, 1053, 1159, 1026, 7246, 1009, 15409, 4138, 4872, 20922, 1005, 26219, 12712, 77, 4190, 2845, 1072, 2279, 18, 1687, 1005, 2364, 9381, 18694, 29367, 3333, 89, 8311, 1072, 1142, 1120, 7151, 9953, 3957, 1054, 14931, 5126, 2845, 1006, 6927, 10324, 1054, 3268, 1009, 4127, 2457, 1068, 19814, 2457, 14992, 1094, 4633, 1114, 4180, 1048, 8583, 1538, 15398, 1327, 1493, 1415, 20, 5126, 1327, 3711, 18659, 28236, 4872, 20922, 1005, 29367, 3333, 89, 1058, 1384, 1412, 1054, 3042, 1009, 3977, 1005, 2364, 1327, 4090, 1009, 2125, 5089, 29929, 1053, 1069, 1160, 1096, 1026, 3872, 1048, 9952, 1054, 3349, 1175, 12712, 77, 4190, 1096, 15310, 1043, 4660, 1468, 15914, 4138, 2124, 1063, 7779, 1058, 14067, 28338, 1016, 2624, 15, 1054, 7123, 1005, 1058, 1026, 26589, 5493, 3449, 26576, 6178, 1096, 2246, 1224, 7668, 1180, 1040, 1549, 15914, 4138, 1836, 1114, 31112, 20, 6624, 2227, 2124, 28616, 168, 1160, 1096, 1044, 6159, 33, 1687, 6471, 1159, 1049, 1814, 1005, 13433, 2124, 1482, 1044, 1073, 2770, 2051, 1072, 9891, 1482, 3049, 1009, 7267, 12712, 77, 4190, 6701, 1322, 1224, 16692, 15171, 32, 1538, 8361, 10312, 1096, 1094, 6882, 9732, 78, 4882, 1511, 1299, 1325, 5450, 20, 1972, 9210, 1503, 1927, 12720, 1178, 1094, 4633, 1009, 6882, 20, 4714, 3711, 5450, 1118, 4732, 15310, 22566, 12712, 77, 4190, 1005, 4872, 20922, 3501, 1046, 1043, 2089, 6963, 1160, 3449, 5265, 3819, 8620, 12647, 20087, 6633, 3423, 2668, 1857, 1927, 9870, 1044, 1187, 17495, 1184, 19054, 2445, 11791, 14, 1925, 6046, 15, 1009, 1134, 1684, 16198, 1239, 16234, 1, 25724, 32, 1142, 1102, 26436, 2662, 30110, 1026, 2822, 1187, 1646, 24451, 1006, 8565, 1009, 19090, 1060, 28532, 18, 1054, 4831, 1468, 1009, 1764, 18113, 4452, 2845, 1006, 1178, 3050, 1140, 1118, 4614, 23618, 1009, 2089, 5314, 1049, 5108, 8298, 1140, 1043, 1006, 3938, 1005, 14814, 3888, 1054, 16126, 2413, 1049, 3619, 1052, 168, 20, 2034, 6194, 1005, 1132, 9471, 8298, 1166, 7949, 2276, 1006, 5587, 18019, 1072, 12277, 3316, 6723, 5816, 1096, 1006, 7140, 9016, 7151, 1271, 20130, 1273, 1048, 1325, 11039, 1114, 6586, 2751, 1060, 9388, 1126, 13884, 21403, 1005, 12508, 1048, 12489, 28550, 2485, 11244, 1005, 6273, 8054, 1034, 1533, 2573, 4857, 1094, 11276, 12531, 26935, 1841, 12311, 1094, 3187, 7151, 12870, 3424, 2605, 1213, 7462, 1049, 1048, 1132, 4181, 7363, 1010, 2381, 9334, 1160, 1058, 1211, 1589, 1009, 1044, 1080, 1930, 1309, 1009, 1094, 22118, 1009, 3374, 20, 1073, 3340, 18378, 3102, 1005, 31675, 1060, 2573, 1096, 2481, 2808, 1124, 21403, 1009, 6873, 11647, 84, 1056, 1005, 1124, 12508, 1009, 19323, 1119, 3362, 1704, 2743, 1096, 15673, 1049, 17197, 14285, 8054, 1034, 22308, 1223, 9464, 1043, 26714, 1060, 2451, 2386, 18324, 64, 9276, 2951, 4614, 6471, 1006, 2323, 1060, 14466, 6495, 1006, 4614, 13012, 1026, 14994, 1005, 20892, 4577, 4051, 1048, 1234, 3654, 1068, 14052, 3592, 12454, 21398, 2612, 1006, 1318, 6035, 8629, 1694, 25414, 1048, 14930, 1049, 2568, 1009, 1651, 7078, 3994, 1006, 6873, 20, 20130, 1016, 1005, 5138, 17666, 5322, 1009, 21836, 3215, 5006, 10856, 1273, 16782, 10442, 1005, 1172, 1917, 3662, 18475, 1026, 2011, 1673, 2038, 3617, 4049, 21146, 1127, 1508, 1006, 4253, 28550, 2328, 1060, 29637, 12454, 1005, 5409, 3247, 1988, 1006, 1428, 2111, 1508, 4306, 28082, 29235, 15419, 1026, 1048, 1026, 3266, 3563, 1294, 4351, 1406, 1919, 1006, 6820, 1049, 17197, 3021, 22278, 1096, 27201, 1089, 17744, 1005, 8629, 1694, 1096, 1009, 10348, 4228, 48, 1565, 18245, 13728, 1006, 1641, 3454, 5531, 2646, 1837, 1791, 1646, 1068, 6313, 1114, 17345, 1009, 19090, 1060, 28532, 20, 5011, 12602, 1009, 4203, 1005, 21855, 7439, 1569, 6194, 1309, 1096 ]

[ 1132, 12070, 1060, 1073, 16106, 18, 2277, 2711, 1412, 6768, 1233, 16229, 1986, 1026, 12054, 1060, 1150, 1851, 1694, 2919, 1009, 8214, 1252, 2100, 2656, 14961, 1664, 1132, 26330, 12246, 158, 4392, 29471, 1043, 1026, 6721, 26002, 1134, 2450, 8376, 8144, 1693, 1178, 5348, 1105, 2075, 4570, 1068, 1734, 4246, 6420, 1058, 5077, 1048, 1160, 1837, 6520, 1043, 1006, 19424, 1180, 20743, 3106, 16790, 1, 5348, 1087, 1593, 17970, 27354, 32, 1138, 2822, 1009, 9360, 5, 2337, 25507, 3228, 2471, 1655, 16, 67, 7384, 1019, 2505, 96, 3222, 7572, 9568, 1048, 2521, 1233, 13289, 1026, 15763, 1009, 24701, 10924, 6008, 1056, 5785, 13499, 17256, 11705, 1048, 1006, 3781, 1717, 14655, 71, 1096, 1094, 4095, 1357, 7064, 1049, 2956, 1180, 3293, 8668, 6008, 1056, 5785, 13499, 1325, 26707, 1084, 9360, 1160, 1298, 8900, 2122, 4095, 33, 1160, 1298, 15593, 5149, 1048, 4744, 3012, 3704, 1130, 3987, 4095, 20, 18028, 1048, 1006, 4095, 1160, 1058, 1211, 1589, 1357, 8894, 1187, 1030, 11495, 1020, 1206, 1357, 5980, 19644, 71, 1060, 8202, 32, 1132, 1030, 11495, 1020, 1327, 6786, 1060, 4811, 4195, 1160, 1327, 1006, 8202, 20, 1766, 26255, 1049, 8191, 2215, 1005, 1009, 14655, 71, 4532, 6422, 9360, 1068, 1094, 6317, 1009, 4095, 1114, 1428, 9360, 12457, 3991, 7195, 33, 1005, 1026, 8191, 1016, 2283, 7709, 1124, 4034, 18, 16600, 1026, 3428, 1005, 5444, 1132, 4732, 1048, 11359, 1068, 14052, 1989, 8566, 1009, 7427, 1704, 3319, 1009, 15291, 1072, 7433, 31915, 1005, 1124, 1427, 1016, 1009, 9935, 1060, 16682, 31915, 19850, 1068, 2573, 1054, 16872, 1121, 1096, 4253, 1493, 5864, 1068, 16096, 9378, 1005, 7422, 2972, 32, 1006, 4260, 1149, 5051, 1009, 9360, 1096, 3616, 1049, 16326, 2656, 1837, 4409, 1068, 1026, 2956, 4134, 168, 9592, 48, 3293, 1093, 1114, 16274, 5949, 1603, 5692, 3493, 18, 1048, 2398, 1040, 1072, 6128, 2269, 22054, 16, 67, 7384, 1019, 2505, 96, 3222, 3873, 1775, 1221, 1005, 6971, 15, 5810, 1054, 9360, 1054, 18653, 1005, 12081, 1114, 7299, 10056, 1021, 1009, 29404, 1961, 19588, 24492, 3131, 1005, 26834, 1565, 12521, 4528, 7370, 3287, 1032, 3382, 16678, 17192, 30861, 17045, 11071, 1005, 10291, 1009, 10249, 1035, 15961, 1391, 2124, 22869, 3077, 1955, 3951, 1195, 1026, 3077, 1009, 19544, 12862, 1049, 1901, 1054, 22564, 2200, 1195, 12452, 1118, 3753, 17752, 1072, 2045, 13397, 1423, 1159, 8701, 1184, 12306, 1223, 6179, 1122, 77, 1253, 2792, 1049, 19544, 9534, 2100, 2505, 96, 3222, 26393, 12898, 3830, 1356, 1784, 16437, 1054, 7066, 1070, 2565, 12297, 1009, 22148, 1005, 5962, 2223, 7766, 15391, 1195, 8271, 19, 1024, 1368, 80, 1348, 1009, 2539, 4965, 1009, 9752, 1005, 7204, 16096, 27977, 16435, 1114, 5253, 1005, 1294, 4620, 1006, 10242, 1009, 2423, 15961, 1961, 1680, 1159, 7204, 1005, 19544, 20, 2376, 1549, 1235, 4861, 1043, 2539, 7896, 7769, 3021, 3465, 15086, 9317, 1018, 1009, 3578, 18, 14655, 1126, 5539, 1097, 8645, 1009, 16274, 13148, 7384, 1019, 2505, 96, 3222, 18, 24701, 16274, 3097, 9014, 2005, 1009, 7450, 1187, 7422, 13148, 5745, 1205, 91, 1297, 1, 2899, 4838, 7, 1175, 1138, 11076, 2013, 11076, 11018, 1082, 5356, 28013, 2164, 4139, 56, 24932, 2581, 2545, 15, 7463, 2393, 4212, 37, 3008, 2560, 1986, 1006, 2348, 15364, 19226, 1114, 2348, 4953, 1094, 2700, 1009, 14787, 1728, 3316, 8545, 1195, 1151, 10577, 1006, 4982, 2921, 1048, 2598, 11217, 6423, 1006, 10218, 1048, 4548, 1783, 15376, 158, 3150, 1063, 6704, 1096, 1184, 1206, 2444, 17040, 2693, 1006, 4614, 4145, 1006, 2317, 26552, 1058, 13365, 1048, 1160, 1096, 24993, 1140, 1005, 1511, 1006, 2398, 1112, 1096, 4260, 1006, 1044, 3319, 2427, 1053, 23974, 1603, 1006, 2398, 1112, 1160, 1234, 31480, 16137, 1160, 1026, 10659, 1715, 5011, 1058, 1234, 1256, 21714, 13520, 6027, 3552, 2869, 1837, 1566, 1702, 4248, 1009, 1472, 1054, 1511, 22832, 1715, 2384, 1771, 1006, 2921, 6704, 1206, 14919, 11097, 8009, 4975, 5291, 1233, 2348, 4087, 20139, 37, 6770, 19, 14079, 1160, 1096, 1048, 1837, 3616, 1009, 7082, 1323, 2333, 11097, 1054, 16126, 5099, 1009, 4526, 1043, 1026, 29436, 1006, 2074, 1056, 1024, 1006, 2348, 6704, 8057, 85, 1048, 1264, 1323, 14016, 32, 3730, 82, 2564, 1048, 1026, 1592, 1058, 13567, 1006, 18776, 1715, 2659, 14, 6666, 23694, 1160, 4208, 11513, 1715, 1308, 86, 9074, 1118, 8940, 1012, 2801, 14, 1328, 15, 1726, 21368, 2830, 5919, 24849, 1100, 2449, 1094, 12717, 1048, 15309, 1159, 1030, 8668, 15369, 1118, 2289, 1026, 1048, 1566, 3475, 1005, 1566, 3708, 9207, 1006, 1783, 12411, 28592, 28440, 2745, 5956, 1493, 14969, 10218, 1371, 15698, 1005, 6313, 1094, 2869, 1043, 2122, 4556, 1054, 5131, 9493, 1160, 5192, 1058, 1702, 1531, 1616, 1323, 2155, 25670, 1309, 10193, 2060, 6313, 1006, 2348, 2869, 1006, 13365, 1048, 2598, 1294, 4803, 1211, 1130, 1044, 1213, 2143, 29953, 3562, 1252, 1006, 3939, 1009, 9195, 1009, 4127, 1726, 14248, 5402, 3670, 5595, 1026, 2092, 6276, 1305, 6141, 1048, 4540, 1211, 1130, 1206, 1178, 1211, 2876, 20, 2656, 1096, 6976, 1048, 1323, 27256, 1026, 11808, 1005, 1998, 22832, 15698, 1511, 3904, 1233, 3178, 2787, 3552, 2073, 7673, 6889, 2367, 1100, 1159, 1566, 12950, 1026, 1048, 1026, 2143, 2381, 1126, 1318, 12950, 1026, 1048, 1294, 2540, 28592, 2476, 2784, 1160, 5595, 1173, 1958, 18232, 1043, 1989, 3970, 1047, 3021, 1706, 1045, 1006, 1101, 1009, 9724, 1009, 4127, 1726, 14586, 2830, 30786, 7899, 7536, 1205, 2148, 1173, 1958, 18232, 1043, 1616, 1096, 1493, 1804, 8668, 15278, 5602, 1503, 1566, 18853, 1026, 1048, 1516, 1616, 3812, 17859, 2801, 14, 1328, 15, 1006, 1487, 1009, 9724, 1009, 4127, 1726, 16473, 3612, 22286, 1570, 13481, 8422, 5192, 1048, 5293, 1030, 12754, 1309, 1715, 1511, 1503, 2257, 1158, 2864, 27436, 23114, 16584, 2449, 6275, 1005, 1160, 5595, 1006, 2348, 2869, 1006, 6141, 1048, 2155, 25670, 1309, 1043, 1026, 9151, 1009, 17345, 1048, 3360, 1096, 2481, 1048, 28203, 1060, 2348, 1751, 1159, 3615, 1715, 2656, 5192, 1058, 1323, 6581, 1663, 4966, 1715, 2656, 1096, 4445, 3226, 58, 17859, 2801, 14, 1328, 15, 1006, 1487, 1009, 9724, 1009, 4127, 1726, 16473, 2944, 22286, 7, 2034, 5426, 22263, 1160, 1755, 83, 23982, 2654, 2449, 9670, 1833, 2199, 85, 1006, 13365, 1048, 1058, 1616, 9207, 1114, 2348, 1488, 2094, 6021, 2177, 1026, 2822, 1060, 24366, 2374, 1503, 1006, 1211, 1130, 1206, 11249, 17807, 5115, 1034, 20250, 1024, 1094, 3616, 5856, 1005, 13122, 1048, 1058, 1026, 1211, 4492, 2177, 2246, 7881, 2869, 1566, 1160, 6054, 1006, 5865, 3590, 71, 162, 13365, 1048, 3552, 2869, 1225, 1009, 13217, 19697, 3843, 1603, 1616, 1160, 2039, 4492, 6021, 1068, 10312, 1160, 4292, 2869, 20, 1, 1424, 1754, 1175, 19654, 9696, 27992, 2818, 1067, 132, 56, 45, 8638, 2818, 1134, 3776, 4503, 2545, 1759, 14479, 2428, 9622, 22219, 27952, 26790, 2713, 9435, 1163, 39, 145, 41, 10717, 11029, 1067, 5356, 5462, 21193, 7985, 9560, 18999, 7447, 1349, 1026, 5751, 1836, 1054, 4284, 17435, 25678, 1726, 24560, 9949, 2232, 7776, 1026, 29361, 1072, 22860, 5705, 2037, 1072, 17636, 1060, 2595, 0, 8404, 1049, 3848, 6278, 20, 1776, 9988, 1502, 15931, 1026, 1073, 5712, 1566, 1160, 6594, 1837, 1799, 1646, 1309, 11870, 1079, 1118, 1101, 1006, 1101, 1054, 2666, 11271, 1118, 16690, 1121, 1049, 25686, 8877, 17403, 12033, 7100, 1592, 1048, 7289, 17044, 1072, 2666, 5751, 1559, 2311, 1559, 1764, 2434, 1114, 5745, 5045, 83, 2060, 1531, 2971, 1009, 2436, 15, 75, 1114, 1015, 1822, 9642, 1026, 25686, 18695, 1006, 9985, 1005, 23499, 1026, 1720, 1049, 27757, 3301, 31781, 1458, 1048, 1986, 1026, 17009, 1060, 20153, 1511, 1026, 1058, 2517, 2526, 1009, 29917, 1058, 3580, 1034, 1068, 1026, 4792, 6249, 1005, 6718, 1357, 6317, 1025, 3382, 18657, 3911, 1166, 1356, 8843, 10866, 14599, 24711, 1131, 15781, 4906, 11237, 10470, 1009, 3246, 1049, 29361, 1048, 24799, 10748, 1054, 2468, 9058, 4547, 1124, 4496, 2880, 32, 1538, 2066, 89, 4343, 9135, 1118, 1048, 9726, 3713, 89, 18212, 1026, 7248, 15136, 5260, 9446, 1642, 1047, 15136, 5024, 18290, 1069, 15136, 2642, 13249, 1136, 1026, 1048, 7110, 6470, 2307, 1072, 22860, 5705, 1047, 1406, 18695, 23498, 6021, 1026, 22860, 5705, 1047, 1566, 3661, 1734, 1799, 24773, 1365, 1124, 5908, 15127, 1356, 6278, 1005, 1083, 1357, 11514, 5783, 1054, 3977, 1349, 1048, 6011, 1487, 3191, 5076, 1005, 1307, 11753, 1049, 4478, 1060, 10007, 1776, 1831, 13622, 1009, 6813, 1026, 6881, 22306, 1006, 1807, 2700, 1009, 1762, 1447, 3003, 11898, 1291, 1114, 5745, 5045, 83, 2060, 1213, 8900, 1118, 1083, 1006, 1559, 3482, 7451, 6368, 18748, 10603, 1356, 1163, 8741, 1049, 31542, 4210, 1005, 7023, 1043, 4744, 1118, 1307, 1006, 1083, 1322, 1026, 29361, 1054, 3696, 1009, 20950, 83, 1930, 2566, 1009, 1664, 1132, 7882, 1009, 1224, 15539, 1114, 5745, 5045, 83, 2060, 20, 11232, 2307, 1068, 1419, 1132, 3460, 6390, 20, 1, 1603, 1026, 3453, 1160, 1096, 2863, 1068, 9210, 2276, 1299, 1298, 3524, 1044, 1187, 3460, 1005, 1184, 1760, 1010, 2666, 1009, 1968, 5624, 2509, 1048, 1299, 1298, 9212, 1072, 7044, 30369, 1138, 26588, 4124, 3619, 1076, 1021, 4053, 1096, 1044, 2666, 1009, 6973, 1054, 1557, 2733, 1068, 1132, 12977, 2370, 1049, 1968, 5624, 2509, 1048, 4089, 1046, 1664, 1132, 4972, 1049, 13650, 1063, 2759, 1009, 1968, 5624, 2509, 14250, 1060, 17296, 1318, 4485, 1159, 15210, 1054, 6511, 10696, 5759, 1006, 9259, 1072, 1968, 5624, 2509, 7926, 24962, 3316, 1271, 5878, 5908, 1048, 2813, 1040, 1072, 3848, 15771, 13340, 6540, 1026, 1184, 3910, 3319, 1009, 1968, 5624, 2509, 7926, 24962, 1026, 4478, 1096, 12194, 1356, 5019, 1009, 15139, 1009, 5132, 5624, 2509, 1114, 9259, 25569, 6125, 20, 1205, 1350, 90, 13446, 78, 2903, 2909, 1026, 1831, 22524, 1060, 4214, 1114, 9259, 1054, 15412, 8515, 3964, 1054, 2693, 1006, 2413, 11944, 4273, 1139, 9517, 1406, 4979, 1006, 22098, 1054, 11829, 3068, 9137, 20, 1063, 22098, 2920, 7195, 1009, 3349, 1043, 1006, 12044, 2458, 1126, 1043, 4799, 1054, 15222, 1029, 1947, 18, 1114, 17296, 7329, 2451, 4513, 27447, 18240, 1009, 5132, 5624, 29261, 1138, 2666, 1009, 1968, 5624, 2509, 1096, 1044, 2574, 9885, 1005, 1493, 3630, 1009, 2073, 2143, 9180, 18, 3027, 6264, 1493, 6475, 1016, 1005, 1006, 1224, 1871, 1009, 6534, 8536, 4850, 1009, 2088, 3701, 3890, 1048, 1096, 7155, 1043, 1026, 22840, 6119, 1998, 1054, 2088, 1124, 5664, 1554, 1, 16989, 1035, 2680, 2208, 3039, 1479, 20757, 2447, 6828, 21729, 1759, 19979, 2680, 3032, 3840, 77, 1035, 4273, 1087, 17121, 16519, 4045, 1079, 13302, 16835, 29500, 1005, 14202, 15, 1565, 3953, 1026, 4553, 1060, 12891, 28777, 1044, 6737, 37, 1084, 18929, 1009, 24239, 18807, 88, 2681, 3617, 7027, 1132, 3997, 30528, 1533, 11876, 1551, 4242, 1093, 1096, 1094, 4422, 4750, 1043, 1094, 3621, 1009, 8369, 1114, 5660, 11289, 1068, 5513, 3915, 20833, 1114, 21448, 1741, 39, 77, 7710, 1005, 25950, 17121, 1479, 16273, 8487, 76, 1377, 1138, 1235, 2326, 1009, 4751, 26050, 1096, 8279, 2985, 11831, 1006, 30647, 6066, 1068, 1184, 3751, 2223, 1062, 1281, 1029, 19839, 11138, 1197, 8170, 16745, 1565, 1603, 1160, 1225, 2111, 3858, 1068, 2837, 1044, 13438, 7327, 71, 1044, 7137, 1009, 5577, 1804, 1061, 14133, 2124, 14530, 1054, 8487, 3039, 2457, 4284, 20, 29169, 3831, 45, 2982, 12239, 13411, 45, 2982, 1067, 2722, 8487, 3039, 1059, 7851, 1149, 1009, 8487, 3039, 1015, 1497, 1114, 7334, 4333, 1142, 13235, 13331, 14202, 1009, 22891, 13302, 1005, 12037, 1060, 8487, 3039, 2457, 1068, 1026, 7757, 1060, 2904, 23337, 5745, 1574, 152, 1009, 1138, 6630, 27422, 1776, 3225, 1006, 16989, 1035, 2680, 24986, 7735, 27284, 1271, 2688, 2156, 1054, 3032, 2663, 10976, 4484, 1005, 8487, 3039, 675, 1565, 1063, 12598, 6750, 1195, 1006, 1868, 3351, 8382, 1048, 1006, 2257, 21451, 1054, 2124, 1106, 1018, 5820, 1287, 7067, 12777, 1109, 29044, 9539, 1033, 2356, 1025, 1875, 1678, 1173, 14741, 27793, 4143, 5952, 1100, 8487, 3039, 2159, 2124, 1082, 6374, 6249, 1138, 23741, 1049, 18770, 6249, 1096, 17960, 1114, 8487, 3039, 11132, 1357, 4899, 1803, 1048, 1096, 14853, 1114, 2935, 1009, 18770, 6249, 1009, 7658, 20, 1776, 2269, 1009, 1123, 9916, 1054, 7488, 16188, 1005, 1072, 22242, 1187, 2848, 4494, 1229, 1054, 6015, 1082, 2192, 1131, 1049, 3258, 1081, 1599, 1006, 6841, 1009, 2124, 2034, 6048, 1049, 5549, 8487, 3039, 14193, 7212, 1046, 12248, 1054, 3480, 6826, 15679, 3983, 9184, 5381, 1694, 3582, 8193, 1371, 1006, 4524, 3552, 1271, 5426, 1821, 5129, 20836, 1107, 1026, 8036, 8220, 22449, 1603, 5037, 1043, 8272, 1054, 13342, 3685, 1006, 1224, 12005, 18, 1057, 1285, 1076, 5291, 1118, 3653, 1068, 1026, 2511, 7137, 32, 2124, 15611, 1009, 16920, 7646, 1005, 11174, 1009, 3129, 6843, 1259, 2575, 1009, 1482, 5541, 1005, 5180, 3334, 19753, 12486, 2699, 17157, 2645, 6125, 54, 1565, 8487, 3039, 2856, 9805, 1314, 21990, 8487, 3039, 2856, 6432, 8258, 8653, 1138, 5383, 20, 7527 ]

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

[ 1132, 12070, 1060, 1073, 16106, 18, 2277, 2711, 1412, 6768, 1233, 16229, 1986, 1026, 12054, 1060, 1150, 1851, 1694, 2919, 1009, 8214, 1252, 2100, 2656, 14961, 1664, 1132, 26330, 12246, 158, 4392, 29471, 1043, 1026, 6721, 26002, 1134, 2450, 8376, 8144, 1693, 1178, 5348, 1105, 2075, 4570, 1068, 1734, 4246, 6420, 1058, 5077, 1048, 1160, 1837, 6520, 1043, 1006, 19424, 1180, 20743, 3106, 16790, 1, 5348, 1087, 1593, 17970, 27354, 32, 1138, 2822, 1009, 9360, 5, 2337, 25507, 3228, 2471, 1655, 16, 67, 7384, 1019, 2505, 96, 3222, 7572, 9568, 1048, 2521, 1233, 13289, 1026, 15763, 1009, 24701, 10924, 6008, 1056, 5785, 13499, 17256, 11705, 1048, 1006, 3781, 1717, 14655, 71, 1096, 1094, 4095, 1357, 7064, 1049, 2956, 1180, 3293, 8668, 6008, 1056, 5785, 13499, 1325, 26707, 1084, 9360, 1160, 1298, 8900, 2122, 4095, 33, 1160, 1298, 15593, 5149, 1048, 4744, 3012, 3704, 1130, 3987, 4095, 20, 18028, 1048, 1006, 4095, 1160, 1058, 1211, 1589, 1357, 8894, 1187, 1030, 11495, 1020, 1206, 1357, 5980, 19644, 71, 1060, 8202, 32, 1132, 1030, 11495, 1020, 1327, 6786, 1060, 4811, 4195, 1160, 1327, 1006, 8202, 20, 1766, 26255, 1049, 8191, 2215, 1005, 1009, 14655, 71, 4532, 6422, 9360, 1068, 1094, 6317, 1009, 4095, 1114, 1428, 9360, 12457, 3991, 7195, 33, 1005, 1026, 8191, 1016, 2283, 7709, 1124, 4034, 18, 16600, 1026, 3428, 1005, 5444, 1132, 4732, 1048, 11359, 1068, 14052, 1989, 8566, 1009, 7427, 1704, 3319, 1009, 15291, 1072, 7433, 31915, 1005, 1124, 1427, 1016, 1009, 9935, 1060, 16682, 31915, 19850, 1068, 2573, 1054, 16872, 1121, 1096, 4253, 1493, 5864, 1068, 16096, 9378, 1005, 7422, 2972, 32, 1006, 4260, 1149, 5051, 1009, 9360, 1096, 3616, 1049, 16326, 2656, 1837, 4409, 1068, 1026, 2956, 4134, 168, 9592, 48, 3293, 1093, 1114, 16274, 5949, 1603, 5692, 3493, 18, 1048, 2398, 1040, 1072, 6128, 2269, 22054, 16, 67, 7384, 1019, 2505, 96, 3222, 3873, 1775, 1221, 1005, 6971, 15, 5810, 1054, 9360, 1054, 18653, 1005, 12081, 1114, 7299, 10056, 1021, 1009, 29404, 1961, 19588, 24492, 3131, 1005, 26834, 1565, 12521, 4528, 7370, 3287, 1032, 3382, 16678, 17192, 30861, 17045, 11071, 1005, 10291, 1009, 10249, 1035, 15961, 1391, 2124, 22869, 3077, 1955, 3951, 1195, 1026, 3077, 1009, 19544, 12862, 1049, 1901, 1054, 22564, 2200, 1195, 12452, 1118, 3753, 17752, 1072, 2045, 13397, 1423, 1159, 8701, 1184, 12306, 1223, 6179, 1122, 77, 1253, 2792, 1049, 19544, 9534, 2100, 2505, 96, 3222, 26393, 12898, 3830, 1356, 1784, 16437, 1054, 7066, 1070, 2565, 12297, 1009, 22148, 1005, 5962, 2223, 7766, 15391, 1195, 8271, 19, 1024, 1368, 80, 1348, 1009, 2539, 4965, 1009, 9752, 1005, 7204, 16096, 27977, 16435, 1114, 5253, 1005, 1294, 4620, 1006, 10242, 1009, 2423, 15961, 1961, 1680, 1159, 7204, 1005, 19544, 20, 2376, 1549, 1235, 4861, 1043, 2539, 7896, 7769, 3021, 3465, 15086, 9317, 1018, 1009, 3578, 18, 14655, 1126, 5539, 1097, 8645, 1009, 16274, 13148, 7384, 1019, 2505, 96, 3222, 18, 24701, 16274, 3097, 9014, 2005, 1009, 7450, 1187, 7422, 13148, 5745, 1205, 91, 1297, 1, 2899, 4838, 7, 1175, 1138, 11076, 2013, 11076, 11018, 1082, 5356, 28013, 2164, 4139, 56, 24932, 2581, 2545, 15, 7463, 2393, 4212, 37, 3008, 2560, 1986, 1006, 2348, 15364, 19226, 1114, 2348, 4953, 1094, 2700, 1009, 14787, 1728, 3316, 8545, 1195, 1151, 10577, 1006, 4982, 2921, 1048, 2598, 11217, 6423, 1006, 10218, 1048, 4548, 1783, 15376, 158, 3150, 1063, 6704, 1096, 1184, 1206, 2444, 17040, 2693, 1006, 4614, 4145, 1006, 2317, 26552, 1058, 13365, 1048, 1160, 1096, 24993, 1140, 1005, 1511, 1006, 2398, 1112, 1096, 4260, 1006, 1044, 3319, 2427, 1053, 23974, 1603, 1006, 2398, 1112, 1160, 1234, 31480, 16137, 1160, 1026, 10659, 1715, 5011, 1058, 1234, 1256, 21714, 13520, 6027, 3552, 2869, 1837, 1566, 1702, 4248, 1009, 1472, 1054, 1511, 22832, 1715, 2384, 1771, 1006, 2921, 6704, 1206, 14919, 11097, 8009, 4975, 5291, 1233, 2348, 4087, 20139, 37, 6770, 19, 14079, 1160, 1096, 1048, 1837, 3616, 1009, 7082, 1323, 2333, 11097, 1054, 16126, 5099, 1009, 4526, 1043, 1026, 29436, 1006, 2074, 1056, 1024, 1006, 2348, 6704, 8057, 85, 1048, 1264, 1323, 14016, 32, 3730, 82, 2564, 1048, 1026, 1592, 1058, 13567, 1006, 18776, 1715, 2659, 14, 6666, 23694, 1160, 4208, 11513, 1715, 1308, 86, 9074, 1118, 8940, 1012, 2801, 14, 1328, 15, 1726, 21368, 2830, 5919, 24849, 1100, 2449, 1094, 12717, 1048, 15309, 1159, 1030, 8668, 15369, 1118, 2289, 1026, 1048, 1566, 3475, 1005, 1566, 3708, 9207, 1006, 1783, 12411, 28592, 28440, 2745, 5956, 1493, 14969, 10218, 1371, 15698, 1005, 6313, 1094, 2869, 1043, 2122, 4556, 1054, 5131, 9493, 1160, 5192, 1058, 1702, 1531, 1616, 1323, 2155, 25670, 1309, 10193, 2060, 6313, 1006, 2348, 2869, 1006, 13365, 1048, 2598, 1294, 4803, 1211, 1130, 1044, 1213, 2143, 29953, 3562, 1252, 1006, 3939, 1009, 9195, 1009, 4127, 1726, 14248, 5402, 3670, 5595, 1026, 2092, 6276, 1305, 6141, 1048, 4540, 1211, 1130, 1206, 1178, 1211, 2876, 20, 2656, 1096, 6976, 1048, 1323, 27256, 1026, 11808, 1005, 1998, 22832, 15698, 1511, 3904, 1233, 3178, 2787, 3552, 2073, 7673, 6889, 2367, 1100, 1159, 1566, 12950, 1026, 1048, 1026, 2143, 2381, 1126, 1318, 12950, 1026, 1048, 1294, 2540, 28592, 2476, 2784, 1160, 5595, 1173, 1958, 18232, 1043, 1989, 3970, 1047, 3021, 1706, 1045, 1006, 1101, 1009, 9724, 1009, 4127, 1726, 14586, 2830, 30786, 7899, 7536, 1205, 2148, 1173, 1958, 18232, 1043, 1616, 1096, 1493, 1804, 8668, 15278, 5602, 1503, 1566, 18853, 1026, 1048, 1516, 1616, 3812, 17859, 2801, 14, 1328, 15, 1006, 1487, 1009, 9724, 1009, 4127, 1726, 16473, 3612, 22286, 1570, 13481, 8422, 5192, 1048, 5293, 1030, 12754, 1309, 1715, 1511, 1503, 2257, 1158, 2864, 27436, 23114, 16584, 2449, 6275, 1005, 1160, 5595, 1006, 2348, 2869, 1006, 6141, 1048, 2155, 25670, 1309, 1043, 1026, 9151, 1009, 17345, 1048, 3360, 1096, 2481, 1048, 28203, 1060, 2348, 1751, 1159, 3615, 1715, 2656, 5192, 1058, 1323, 6581, 1663, 4966, 1715, 2656, 1096, 4445, 3226, 58, 17859, 2801, 14, 1328, 15, 1006, 1487, 1009, 9724, 1009, 4127, 1726, 16473, 2944, 22286, 7, 2034, 5426, 22263, 1160, 1755, 83, 23982, 2654, 2449, 9670, 1833, 2199, 85, 1006, 13365, 1048, 1058, 1616, 9207, 1114, 2348, 1488, 2094, 6021, 2177, 1026, 2822, 1060, 24366, 2374, 1503, 1006, 1211, 1130, 1206, 11249, 17807, 5115, 1034, 20250, 1024, 1094, 3616, 5856, 1005, 13122, 1048, 1058, 1026, 1211, 4492, 2177, 2246, 7881, 2869, 1566, 1160, 6054, 1006, 5865, 3590, 71, 162, 13365, 1048, 3552, 2869, 1225, 1009, 13217, 19697, 3843, 1603, 1616, 1160, 2039, 4492, 6021, 1068, 10312, 1160, 4292, 2869, 20, 1, 1424, 1754, 1175, 19654, 9696, 27992, 2818, 1067, 132, 56, 45, 8638, 2818, 1134, 3776, 4503, 2545, 1759, 14479, 2428, 9622, 22219, 27952, 26790, 2713, 9435, 1163, 39, 145, 41, 10717, 11029, 1067, 5356, 5462, 21193, 7985, 9560, 18999, 7447, 1349, 1026, 5751, 1836, 1054, 4284, 17435, 25678, 1726, 24560, 9949, 2232, 7776, 1026, 29361, 1072, 22860, 5705, 2037, 1072, 17636, 1060, 2595, 0, 8404, 1049, 3848, 6278, 20, 1776, 9988, 1502, 15931, 1026, 1073, 5712, 1566, 1160, 6594, 1837, 1799, 1646, 1309, 11870, 1079, 1118, 1101, 1006, 1101, 1054, 2666, 11271, 1118, 16690, 1121, 1049, 25686, 8877, 17403, 12033, 7100, 1592, 1048, 7289, 17044, 1072, 2666, 5751, 1559, 2311, 1559, 1764, 2434, 1114, 5745, 5045, 83, 2060, 1531, 2971, 1009, 2436, 15, 75, 1114, 1015, 1822, 9642, 1026, 25686, 18695, 1006, 9985, 1005, 23499, 1026, 1720, 1049, 27757, 3301, 31781, 1458, 1048, 1986, 1026, 17009, 1060, 20153, 1511, 1026, 1058, 2517, 2526, 1009, 29917, 1058, 3580, 1034, 1068, 1026, 4792, 6249, 1005, 6718, 1357, 6317, 1025, 3382, 18657, 3911, 1166, 1356, 8843, 10866, 14599, 24711, 1131, 15781, 4906, 11237, 10470, 1009, 3246, 1049, 29361, 1048, 24799, 10748, 1054, 2468, 9058, 4547, 1124, 4496, 2880, 32, 1538, 2066, 89, 4343, 9135, 1118, 1048, 9726, 3713, 89, 18212, 1026, 7248, 15136, 5260, 9446, 1642, 1047, 15136, 5024, 18290, 1069, 15136, 2642, 13249, 1136, 1026, 1048, 7110, 6470, 2307, 1072, 22860, 5705, 1047, 1406, 18695, 23498, 6021, 1026, 22860, 5705, 1047, 1566, 3661, 1734, 1799, 24773, 1365, 1124, 5908, 15127, 1356, 6278, 1005, 1083, 1357, 11514, 5783, 1054, 3977, 1349, 1048, 6011, 1487, 3191, 5076, 1005, 1307, 11753, 1049, 4478, 1060, 10007, 1776, 1831, 13622, 1009, 6813, 1026, 6881, 22306, 1006, 1807, 2700, 1009, 1762, 1447, 3003, 11898, 1291, 1114, 5745, 5045, 83, 2060, 1213, 8900, 1118, 1083, 1006, 1559, 3482, 7451, 6368, 18748, 10603, 1356, 1163, 8741, 1049, 31542, 4210, 1005, 7023, 1043, 4744, 1118, 1307, 1006, 1083, 1322, 1026, 29361, 1054, 3696, 1009, 20950, 83, 1930, 2566, 1009, 1664, 1132, 7882, 1009, 1224, 15539, 1114, 5745, 5045, 83, 2060, 20, 11232, 2307, 1068, 1419, 1132, 3460, 6390, 20, 1, 1603, 1026, 3453, 1160, 1096, 2863, 1068, 9210, 2276, 1299, 1298, 3524, 1044, 1187, 3460, 1005, 1184, 1760, 1010, 2666, 1009, 1968, 5624, 2509, 1048, 1299, 1298, 9212, 1072, 7044, 30369, 1138, 26588, 4124, 3619, 1076, 1021, 4053, 1096, 1044, 2666, 1009, 6973, 1054, 1557, 2733, 1068, 1132, 12977, 2370, 1049, 1968, 5624, 2509, 1048, 4089, 1046, 1664, 1132, 4972, 1049, 13650, 1063, 2759, 1009, 1968, 5624, 2509, 14250, 1060, 17296, 1318, 4485, 1159, 15210, 1054, 6511, 10696, 5759, 1006, 9259, 1072, 1968, 5624, 2509, 7926, 24962, 3316, 1271, 5878, 5908, 1048, 2813, 1040, 1072, 3848, 15771, 13340, 6540, 1026, 1184, 3910, 3319, 1009, 1968, 5624, 2509, 7926, 24962, 1026, 4478, 1096, 12194, 1356, 5019, 1009, 15139, 1009, 5132, 5624, 2509, 1114, 9259, 25569, 6125, 20, 1205, 1350, 90, 13446, 78, 2903, 2909, 1026, 1831, 22524, 1060, 4214, 1114, 9259, 1054, 15412, 8515, 3964, 1054, 2693, 1006, 2413, 11944, 4273, 1139, 9517, 1406, 4979, 1006, 22098, 1054, 11829, 3068, 9137, 20, 1063, 22098, 2920, 7195, 1009, 3349, 1043, 1006, 12044, 2458, 1126, 1043, 4799, 1054, 15222, 1029, 1947, 18, 1114, 17296, 7329, 2451, 4513, 27447, 18240, 1009, 5132, 5624, 29261, 1138, 2666, 1009, 1968, 5624, 2509, 1096, 1044, 2574, 9885, 1005, 1493, 3630, 1009, 2073, 2143, 9180, 18, 3027, 6264, 1493, 6475, 1016, 1005, 1006, 1224, 1871, 1009, 6534, 8536, 4850, 1009, 2088, 3701, 3890, 1048, 1096, 7155, 1043, 1026, 22840, 6119, 1998, 1054, 2088, 1124, 5664, 1554, 1, 16989, 1035, 2680, 2208, 3039, 1479, 20757, 2447, 6828, 21729, 1759, 19979, 2680, 3032, 3840, 77, 1035, 4273, 1087, 17121, 16519, 4045, 1079, 13302, 16835, 29500, 1005, 14202, 15, 1565, 3953, 1026, 4553, 1060, 12891, 28777, 1044, 6737, 37, 1084, 18929, 1009, 24239, 18807, 88, 2681, 3617, 7027, 1132, 3997, 30528, 1533, 11876, 1551, 4242, 1093, 1096, 1094, 4422, 4750, 1043, 1094, 3621, 1009, 8369, 1114, 5660, 11289, 1068, 5513, 3915, 20833, 1114, 21448, 1741, 39, 77, 7710, 1005, 25950, 17121, 1479, 16273, 8487, 76, 1377, 1138, 1235, 2326, 1009, 4751, 26050, 1096, 8279, 2985, 11831, 1006, 30647, 6066, 1068, 1184, 3751, 2223, 1062, 1281, 1029, 19839, 11138, 1197, 8170, 16745, 1565, 1603, 1160, 1225, 2111, 3858, 1068, 2837, 1044, 13438, 7327, 71, 1044, 7137, 1009, 5577, 1804, 1061, 14133, 2124, 14530, 1054, 8487, 3039, 2457, 4284, 20, 29169, 3831, 45, 2982, 12239, 13411, 45, 2982, 1067, 2722, 8487, 3039, 1059, 7851, 1149, 1009, 8487, 3039, 1015, 1497, 1114, 7334, 4333, 1142, 13235, 13331, 14202, 1009, 22891, 13302, 1005, 12037, 1060, 8487, 3039, 2457, 1068, 1026, 7757, 1060, 2904, 23337, 5745, 1574, 152, 1009, 1138, 6630, 27422, 1776, 3225, 1006, 16989, 1035, 2680, 24986, 7735, 27284, 1271, 2688, 2156, 1054, 3032, 2663, 10976, 4484, 1005, 8487, 3039, 675, 1565, 1063, 12598, 6750, 1195, 1006, 1868, 3351, 8382, 1048, 1006, 2257, 21451, 1054, 2124, 1106, 1018, 5820, 1287, 7067, 12777, 1109, 29044, 9539, 1033, 2356, 1025, 1875, 1678, 1173, 14741, 27793, 4143, 5952, 1100, 8487, 3039, 2159, 2124, 1082, 6374, 6249, 1138, 23741, 1049, 18770, 6249, 1096, 17960, 1114, 8487, 3039, 11132, 1357, 4899, 1803, 1048, 1096, 14853, 1114, 2935, 1009, 18770, 6249, 1009, 7658, 20, 1776, 2269, 1009, 1123, 9916, 1054, 7488, 16188, 1005, 1072, 22242, 1187, 2848, 4494, 1229, 1054, 6015, 1082, 2192, 1131, 1049, 3258, 1081, 1599, 1006, 6841, 1009, 2124, 2034, 6048, 1049, 5549, 8487, 3039, 14193, 7212, 1046, 12248, 1054, 3480, 6826, 15679, 3983, 9184, 5381, 1694, 3582, 8193, 1371, 1006, 4524, 3552, 1271, 5426, 1821, 5129, 20836, 1107, 1026, 8036, 8220, 22449, 1603, 5037, 1043, 8272, 1054, 13342, 3685, 1006, 1224, 12005, 18, 1057, 1285, 1076, 5291, 1118, 3653, 1068, 1026, 2511, 7137, 32, 2124, 15611, 1009, 16920, 7646, 1005, 11174, 1009, 3129, 6843, 1259, 2575, 1009, 1482, 5541, 1005, 5180, 3334, 19753, 12486, 2699, 17157, 2645, 6125, 54, 1565, 8487, 3039, 2856, 9805, 1314, 21990, 8487, 3039, 2856, 6432, 8258, 8653, 1138, 5383, 20, 7527 ]

[ 1412, 1006, 5131, 1043, 1006, 4840, 1009, 1048, 1006, 2373, 84, 19297, 2112, 8606, 626, 1516, 1094, 21651, 1213, 2952, 5120, 1622, 1800, 19363, 4537, 1233, 9743, 1009, 2464, 1114, 7443, 1096, 1026, 1098, 18255, 1048, 30068, 32, 1006, 5154, 17818, 5219, 1687, 1195, 12473, 1140, 6932, 1250, 1294, 1378, 1719, 9516, 1060, 31824, 1213, 2729, 1009, 13329, 1009, 8471, 1009, 2601, 4650, 1096, 1044, 9669, 9667, 1715, 1213, 27650, 17466, 15, 8333, 4800, 4764, 1237, 5876, 8396, 2307, 1322, 1006, 4380, 1060, 5154, 17818, 17222, 1068, 3754, 1048, 1687, 1160, 26073, 1009, 1871, 1702, 1126, 6940, 22507, 14485, 1006, 4380, 3048, 1006, 3486, 5154, 17818, 1048, 1160, 1096, 1094, 8621, 6189, 1377, 2656, 1096, 1026, 30794, 1009, 17782, 2363, 3048, 1026, 2263, 6325, 1009, 10885, 7092, 1096, 1114, 4556, 1009, 22652, 1794, 5820, 1565, 1063, 1859, 1021, 1990, 1096, 1044, 2568, 1054, 4288, 20, 1063, 5154, 8606, 1096, 1044, 18833, 18999, 1349, 1054, 1048, 1132, 2368, 2130, 9790, 1005, 15420, 1391, 1058, 1596, 6485, 29878, 2526, 17263, 7518, 3240, 1009, 1871, 1023, 1367, 1078, 1088, 8659, 21908, 1992, 1094, 3733, 1054, 6888, 20, 2605, 1160, 1094, 3922, 1054, 18898, 1054, 1048, 1058, 4172, 18855, 10248, 7201, 1026, 1048, 2572, 1048, 1294, 2374, 2952, 1250, 4560, 4776, 1159, 1094, 5655, 30380, 1140, 1060, 5261, 16552, 1322, 1134, 1418, 9547, 2450, 3012, 3417, 1111, 1266, 20, 1063, 3028, 13914, 1072, 4405, 1160, 1096, 11011, 7201, 1319, 4156, 3336, 14763, 25984, 30605, 1044, 1557, 1054, 1048, 1058, 8436, 21771, 1132, 7880, 1009, 1048, 1006, 28806, 1869, 1013, 1692, 1187, 25381, 1009, 18614, 3861, 3382, 1043, 1006, 5910, 1091, 1240, 3131, 1009, 1094, 8403, 28308, 3247, 1272, 1271, 9879, 1005, 1049, 5029, 8287, 2410, 1120, 1724, 1599, 1006, 1169, 28051, 8237, 7903, 1271, 10694, 3023, 1347, 1009, 26123, 10465, 9421, 18, 15722, 1041, 10028, 18333, 1392, 1005, 1009, 7593, 1009, 1823, 1034, 7415, 18, 27337, 2289, 10495, 1006, 1048, 1058, 4100, 1034, 7001, 1026, 1720, 1009, 6110, 3752, 1085, 1227, 2485, 9189, 1412, 1566, 1094, 1484, 1914, 10423, 1463, 21317, 20440, 1009, 11322, 1533, 1807, 16216, 1060, 13010, 2229, 3382, 1159, 1687, 1058, 14453, 75, 1114, 3028, 7475, 1096, 1048, 1687, 1096, 2364, 12632, 6649, 1005, 16975, 1899, 2682, 5674, 27447, 1482, 2269, 1009, 10557, 1357, 4173, 1009, 1044, 2373, 78, 14425, 2017, 4324, 1006, 4840, 1096, 1680, 1996, 1006, 1009, 9153, 1026, 7836, 20, 1972, 3005, 6516, 24141, 150, 17993, 1679, 14936, 1009, 1638, 3749, 20993, 7931, 1005, 12906, 25713, 85, 1048, 1327, 1026, 27136, 1240, 1618, 74, 5701, 1271, 12697, 8124, 1717, 1664, 1132, 25381, 1009, 24264, 22195, 1065, 4136, 1048, 1058, 1596, 30068, 1077, 1213, 2729, 1271, 1005, 1170, 1704, 25601, 29983, 1271, 5298, 1048, 6639, 25253, 1026, 6522, 1005, 1006, 16081, 83, 6579, 2952, 2997, 24141, 150, 1043, 1006, 13207, 1009, 1094, 2360, 3610, 1006, 2323, 1049, 24216, 1049, 1859, 85, 10604, 79, 12754, 16368, 5986, 1992, 1144, 5206, 96, 15767, 20, 1128, 3493, 1229, 27337, 1026, 2201, 11566, 1104, 3982, 2017, 8796, 1049, 8484, 3201, 20, 1603, 1616, 10952, 1870, 1026, 2729, 4474, 1304, 6191, 1009, 10522, 1271, 9694, 6097, 1708, 8285, 4408, 1069, 1745, 1209, 5664, 3830, 20, 7141, 1945, 1006, 1663, 1751, 1060, 2042, 15869, 1571, 1160, 1837, 27505, 3282, 1206, 8555, 20, 1603, 6594, 20487, 1009, 1871, 16844, 1079, 2339, 1124, 5298, 1048, 1058, 2064, 11505, 1233, 15482, 1273, 1008, 29087, 1157, 1357, 5681, 16358, 1896, 1060, 3610, 8606, 1005, 1072, 1058, 1047, 1271, 8879, 1054, 1048, 2237, 1325, 31512, 2154, 1026, 3435, 1160, 1298, 1178, 17222, 1006, 4263, 1305, 2388, 1400, 1026, 2229, 1876, 13906, 3136, 1006, 3964, 5391, 1096, 1006, 3961, 20, 14530, 2307, 1006, 4347, 1009, 1044, 19890, 26456, 1048, 1058, 1298, 2594, 1024, 1006, 2256, 16205, 1006, 2195, 16205, 1006, 1910, 1107, 2106, 15047, 1114, 1944, 10246, 30057, 1289, 5358, 3414, 1029, 3420, 3473, 3644, 1056, 1192, 2176, 21166, 1009, 3770, 30824, 2287, 1349, 1006, 2744, 1009, 1646, 1009, 5514, 20, 2494, 9438, 1992, 2791, 2166, 22832, 1048, 1327, 1124, 5298, 1048, 4730, 79, 1054, 1831, 2269, 1124, 1048, 2643, 1184, 9702, 1068, 4877, 15779, 1704, 1249, 3070, 10902, 1006, 5253, 1605, 2229, 1876, 1160, 1096, 1657, 1044, 1210, 1117, 1047, 1009, 20244, 23838, 1273, 1118, 6360, 1154, 11672, 1016, 1206, 2411, 1199, 77, 1312, 1118, 1044, 10249, 1035, 1210, 1938, 1221, 1009, 1057, 2427, 13197, 8614, 3214, 3336, 1138, 2229, 1876, 1096, 1318, 1044, 1861, 1019, 1631, 1927, 19964, 1159, 13771, 13855, 13687, 8027, 1188, 2339, 1114, 1834, 1009, 4031, 1009, 1622, 1680, 26403, 3368, 1118, 2624, 13517, 1532, 4577, 11048, 3735, 12825, 24979, 4166, 3022, 1006, 6631, 1026, 2878, 1174, 9439, 1049, 5428, 19554, 1898, 625, 39, 1694, 1044, 24681, 1357, 5253, 1479, 1026, 24681, 1049, 6930, 9144, 13044, 1124, 28767, 1060, 11454, 5253, 1058, 1155, 13596, 1068, 1094, 31701, 1703, 9894, 1006, 1668, 7660, 2586, 1026, 15110, 1005, 1026, 29920, 1930, 1082, 3979, 1227, 2628, 1005, 1924, 1127, 23561, 27572, 16815, 1005, 9449, 1060, 6935, 9755, 626, 19679, 3377, 12677, 1090, 7913, 1009, 3756, 1702, 18, 1006, 2071, 1094, 8720, 1009, 1745, 1719, 3336, 2034, 9694, 1510, 5730, 1005, 23399, 21660, 31130, 1668, 2383, 2162, 1194, 1114, 1028, 1843, 1126, 3702, 3179, 2598, 1026, 1808, 1040, 2683, 1069, 1463, 1569, 7397, 14325, 5311, 1235, 3311, 1009, 21410, 1989, 1096, 1044, 23074, 1177, 1048, 1058, 1116, 1469, 80, 5484, 1206, 1058, 5632, 21369, 1159, 1847, 1006, 16081, 1183, 1345, 1014, 1582, 9226, 1309, 1048, 1160, 6733, 1009, 10985, 1178, 1395, 2602, 1278, 3863, 20, 2656, 1096, 1305, 1044, 2499, 1136, 9151, 1009, 14726, 1048, 1058, 8436, 21771, 28087, 9827, 15780, 18892, 1357, 20752, 1063, 19378, 1032, 1112, 1169, 72, 3668, 1140, 1043, 1048, 1058, 2476, 1731, 1989, 1098, 6212, 1262, 1069, 3245, 1017, 1135, 1160, 1096, 19363, 17222, 1094, 17854, 18322, 1054, 13782, 1009, 6697, 1054, 30544, 10764, 1233, 3010, 12526, 4018, 1032, 1236, 1049, 2229, 1876, 5613, 18463, 1009, 9694, 1596, 1371, 30068, 1077, 13848, 9765, 2277, 4306, 7593, 1009, 4422, 1060, 2935, 1005, 1132, 19945, 5834, 1009, 1952, 86, 19525, 1049, 25093, 14763, 2315, 1465, 3046, 1054, 18463, 3861, 5430, 1054, 1048, 1132, 10418, 1596, 18277, 1187, 8326, 1009, 2935, 1005, 1009, 8623, 1105, 4195, 1847, 3750, 2585, 1068, 16703, 1006, 1224, 6389, 1054, 5297, 1006, 9501, 1006, 1224, 3722, 1009, 2011, 1679, 2500, 26381, 1187, 8326, 1009, 2935, 18369, 1565, 1482, 9107, 1049, 3009, 26970, 1114, 5253, 28412, 1026, 2568, 1009, 2935, 2845, 1006, 1178, 14786, 5156, 1005, 29741, 10677, 1250, 1679, 7771, 15906, 2410, 31783, 15883, 16075, 1600, 10146, 1876, 16355, 14350, 1357, 13010, 11747, 3765, 4599, 1213, 4241, 16447, 1304, 2952, 3382, 1048, 5857, 7005, 1094, 31199, 2649, 1070, 3247, 1272, 1213, 7836, 2373, 1018, 2651, 1035, 8226, 2034, 3056, 22014, 15152, 1017, 1333, 1273, 8061, 1016, 1060, 7343, 13225, 7187, 14219, 1206, 2542, 1017, 3304, 3229, 1118, 4604, 16445, 3680, 1005, 14033, 1251, 1120, 1081, 1312, 1054, 12576, 13330, 1153, 13994, 1765, 1029, 1529, 2106, 25342, 1233, 6758, 8606, 1044, 2017, 5239, 1009, 1005, 1162, 1292, 1034, 5348, 1147, 5304, 1766, 1048, 3192, 2643, 18, 1693, 1680, 3505, 1006, 1178, 20984, 1063, 27292, 1064, 1302, 74, 1497, 6300, 1792, 1114, 5507, 24130, 1365, 1578, 2830, 1005, 21195, 3006, 1482, 24959, 1692, 3106, 91, 1446, 77, 1692, 5705, 78, 1550, 75, 20545, 5312, 15, 27540, 1412, 2556, 2914, 16447, 1480, 1054, 1578, 1442, 20, 2034, 3056, 5597, 2370, 1187, 6709, 1060, 1058, 1196, 3995, 1056, 1088, 6024, 1054, 12412, 3529, 1043, 10567, 6066, 1060, 4930, 14813, 1054, 1578, 5940, 1005, 14663, 2567, 7509, 2277, 12987, 1132, 21958, 1009, 7083, 1005, 9688, 19, 132, 90, 4869, 1692, 14696, 1975, 2696, 1789, 1312, 1009, 21652, 20, 1766, 2438, 1045, 1121, 1060, 3285, 14331, 1071, 2300, 1563, 1060, 11454, 2677, 19990, 3004, 20502, 1114, 2689, 12222, 15, 1311, 1032, 1412, 1318, 1044, 22818, 1221, 15693, 1054, 10666, 2471, 2832, 1069, 1118, 15547, 4242, 1699, 1533, 4422, 26050, 1005, 2952, 1049, 4241, 16447, 1304, 2845, 1006, 5593, 5521, 1043, 1006, 17314, 1009, 16420, 15126, 18152, 22762, 2006, 1573, 1005, 1009, 1823, 26408, 25713, 1229, 8761, 3554, 1273, 2717, 2565, 8521, 1009, 11597, 1005, 21544, 2037, 1043, 1041, 1732, 1009, 5630, 10934, 1776, 4367, 5098, 13879, 1026, 4241, 3525, 1291, 2645, 75, 19343, 22026, 19041, 1014, 8463, 3274, 18, 1578, 5963, 7942, 7224, 1054, 5507, 1005, 2730, 1471, 1170, 18463, 4781, 1273, 11132, 1054, 9174, 10877, 16432, 1005, 13391, 20, 7746, 3085, 2241, 1118, 5680, 8326, 1124, 8582, 1009, 7938, 2952, 5430, 1118, 2624, 1004, 1478, 2373, 1088, 2558, 1391, 4324, 1159, 7034, 1207, 1085, 77, 3169, 3926, 5542, 1138, 93, 3933, 4687, 13464, 86, 7429, 8628, 1134, 17813, 1870, 9688, 4134, 1053, 3529, 2013, 90, 4869, 1692, 4986, 9533, 9573, 4269, 1662, 18, 16860, 1142, 20420, 6036, 17214, 1292, 19109, 1208, 5121, 8531, 1120, 1021, 25950, 1295, 13491, 16860, 11127, 6473, 2399, 1683, 1302, 78, 3529, 28273, 6926, 1041, 82, 4566, 4534, 1256, 1776, 4367, 1060, 17578, 16092, 2307, 6522, 1006, 4751, 28433, 18553, 1481, 1040, 1236, 1005, 27272, 1629, 1009, 9573, 3840, 4950, 2701, 4269, 1056, 22027, 1048, 1825, 1153, 1026, 20961, 1009, 12326, 1418, 9481, 2290, 17214, 1292, 5217, 1081, 1024, 11211, 79, 1059, 3430, 6507, 1195, 1044, 1901, 1009, 5597, 4993, 1054, 1807, 1751, 1060, 18104, 1482, 10727, 7720, 1836, 1620, 14540, 1609, 1006, 11765, 1060, 3801, 16727, 1054, 15100, 1511, 1090, 3691, 1026, 15693, 16447, 1304, 1009, 3404, 1009, 30193, 5845, 2125, 2250, 1006, 3861, 6814, 1096, 8908, 1009, 15746, 6238, 16359, 1009, 18683, 1495, 1048, 1048, 1006, 1765, 29584, 1096, 29036, 1140, 1054, 8620, 1118, 10706, 6435, 9935, 5672, 1166, 1356, 7256, 1062, 1393, 1560, 1139, 20, 3126, 1026, 14686, 4736, 1053, 1068, 1006, 8685, 13743, 72, 2477, 8194, 1213, 1622, 18035, 1009, 25200, 6297, 7655, 1578, 6507, 1195, 1044, 1901, 31722, 11132, 1118, 1261, 2281, 1026, 1060, 7922, 1049, 2878, 1174, 9439, 1049, 5428, 19554, 1009, 12825, 24979, 1005, 23348, 5575, 1045, 1916, 16056, 1009, 1094, 3733, 30180, 17711, 1049, 7994, 76, 14897, 20011, 1048, 9126, 1034, 1009, 5231, 1006, 2220, 1026, 4241, 31722, 1890, 12869, 20, 1766, 1791, 7938, 5588, 9256, 1069, 11833, 2848, 1646, 1996, 1005, 1026, 1235, 11350, 1311, 1045, 1095, 2006, 4108, 2845, 1006, 2997, 3770, 1033, 1075, 6893, 5600, 1054, 3425, 2464, 30605, 1114, 4464, 22769, 11889, 21199, 1128, 4901, 1322, 1134, 1418, 9547, 2450, 1009, 12825, 24979, 9108, 4368, 15, 21848, 1231, 3300, 15419, 1094, 2360, 4030, 1055, 1049, 4318, 1005, 1060, 3597, 3895, 3013, 1049, 2792, 1054, 20752, 1424, 1063, 28795, 2404, 3816, 6861, 17796, 1054, 10666, 2443, 1132, 1791, 5410, 30343, 1412, 1094, 2360, 4030, 1055, 1060, 2042, 17818, 1048, 17268, 8073, 1006, 1178, 18633, 9335, 1043, 1026, 17591, 1009, 4577, 1876, 3774, 3617, 19567, 1094, 25753, 13010, 3405, 4755, 24675, 6932, 1005, 23434, 1955, 1061, 1069, 1060, 2677, 19990, 25211, 29787, 1009, 4590, 1005, 1060, 29327, 1168, 1653, 88, 2154, 12825, 24979, 19713, 9421, 1054, 8462, 1054, 2879, 2534, 25678, 15075, 2684, 1237, 2898, 1347, 8272, 15333, 2845, 1006, 1502, 1122, 1130, 5850, 1068, 1006, 6216, 1009, 1138, 13120, 1704, 25465, 1876, 8951, 1006, 6365, 1213, 4318, 15043, 1187, 7180, 1048, 1006, 1381, 4830, 24231, 1096, 6337, 5009, 1271, 14075, 1054, 1048, 5857, 1213, 5108, 1309, 1006, 1664, 2177, 9803, 1006, 5579, 1009, 5574, 13528, 19555, 3592, 14075, 2170, 23874, 1006, 4008, 1009, 13739, 1322, 4088, 1009, 1094, 1871, 13706, 2154, 31315, 1005, 10239, 3567, 1063, 1834, 2952, 1060, 12718, 31704, 1044, 1531, 1009, 1178, 1445, 1236, 1356, 13021, 1326, 91, 3461, 1365, 3969, 1295, 1009, 5298, 20176, 31968, 28753, 1728, 6218, 7195, 1178, 3820, 1009, 1094, 11061, 5925, 17952, 18811, 1157, 1114, 10567, 1054, 6000, 1049, 1235, 3266, 5675, 1357, 4726, 5423, 28487, 2682, 14107, 20008, 15, 2904, 1182, 7195, 1213, 1109, 2629, 22510, 1006, 6280, 11444, 1009, 1345, 1130, 5680, 1172, 4142, 16046, 3398, 1233, 31824, 2340, 1048, 1998, 1264, 1096, 1094, 3161, 1049, 8576, 1009, 12158, 1509, 5268, 10646, 2565, 1094, 3161, 1048, 1160, 4291, 11637, 8416, 1006, 4384, 3486, 1305, 23386, 10988, 2344, 3240, 1005, 1068, 14249, 1006, 1834, 2952, 1060, 23996, 1061, 1051, 1896, 1026, 3679, 1005, 10574, 1049, 2792, 1356, 12960, 1048, 1327, 1132, 6337, 14468, 1009, 2693, 1006, 2064, 1139, 2485, 16564, 1112, 1005, 1762, 11252, 2939, 3214, 3336, 1063, 3593, 2360, 1096, 1992, 19446, 1679, 2987, 6709, 20, 1138, 4241, 16447, 1304, 1976, 2225, 1130, 1371, 1043, 1026, 2952, 1876, 1184, 4720, 1599, 1068, 4682, 1114, 22772, 1058, 5190, 88, 1044, 10833, 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 ]

[ 1412, 1006, 5131, 1043, 1006, 4840, 1009, 1048, 1006, 2373, 84, 19297, 2112, 8606, 626, 1516, 1094, 21651, 1213, 2952, 5120, 1622, 1800, 19363, 4537, 1233, 9743, 1009, 2464, 1114, 7443, 1096, 1026, 1098, 18255, 1048, 30068, 32, 1006, 5154, 17818, 5219, 1687, 1195, 12473, 1140, 6932, 1250, 1294, 1378, 1719, 9516, 1060, 31824, 1213, 2729, 1009, 13329, 1009, 8471, 1009, 2601, 4650, 1096, 1044, 9669, 9667, 1715, 1213, 27650, 17466, 15, 8333, 4800, 4764, 1237, 5876, 8396, 2307, 1322, 1006, 4380, 1060, 5154, 17818, 17222, 1068, 3754, 1048, 1687, 1160, 26073, 1009, 1871, 1702, 1126, 6940, 22507, 14485, 1006, 4380, 3048, 1006, 3486, 5154, 17818, 1048, 1160, 1096, 1094, 8621, 6189, 1377, 2656, 1096, 1026, 30794, 1009, 17782, 2363, 3048, 1026, 2263, 6325, 1009, 10885, 7092, 1096, 1114, 4556, 1009, 22652, 1794, 5820, 1565, 1063, 1859, 1021, 1990, 1096, 1044, 2568, 1054, 4288, 20, 1063, 5154, 8606, 1096, 1044, 18833, 18999, 1349, 1054, 1048, 1132, 2368, 2130, 9790, 1005, 15420, 1391, 1058, 1596, 6485, 29878, 2526, 17263, 7518, 3240, 1009, 1871, 1023, 1367, 1078, 1088, 8659, 21908, 1992, 1094, 3733, 1054, 6888, 20, 2605, 1160, 1094, 3922, 1054, 18898, 1054, 1048, 1058, 4172, 18855, 10248, 7201, 1026, 1048, 2572, 1048, 1294, 2374, 2952, 1250, 4560, 4776, 1159, 1094, 5655, 30380, 1140, 1060, 5261, 16552, 1322, 1134, 1418, 9547, 2450, 3012, 3417, 1111, 1266, 20, 1063, 3028, 13914, 1072, 4405, 1160, 1096, 11011, 7201, 1319, 4156, 3336, 14763, 25984, 30605, 1044, 1557, 1054, 1048, 1058, 8436, 21771, 1132, 7880, 1009, 1048, 1006, 28806, 1869, 1013, 1692, 1187, 25381, 1009, 18614, 3861, 3382, 1043, 1006, 5910, 1091, 1240, 3131, 1009, 1094, 8403, 28308, 3247, 1272, 1271, 9879, 1005, 1049, 5029, 8287, 2410, 1120, 1724, 1599, 1006, 1169, 28051, 8237, 7903, 1271, 10694, 3023, 1347, 1009, 26123, 10465, 9421, 18, 15722, 1041, 10028, 18333, 1392, 1005, 1009, 7593, 1009, 1823, 1034, 7415, 18, 27337, 2289, 10495, 1006, 1048, 1058, 4100, 1034, 7001, 1026, 1720, 1009, 6110, 3752, 1085, 1227, 2485, 9189, 1412, 1566, 1094, 1484, 1914, 10423, 1463, 21317, 20440, 1009, 11322, 1533, 1807, 16216, 1060, 13010, 2229, 3382, 1159, 1687, 1058, 14453, 75, 1114, 3028, 7475, 1096, 1048, 1687, 1096, 2364, 12632, 6649, 1005, 16975, 1899, 2682, 5674, 27447, 1482, 2269, 1009, 10557, 1357, 4173, 1009, 1044, 2373, 78, 14425, 2017, 4324, 1006, 4840, 1096, 1680, 1996, 1006, 1009, 9153, 1026, 7836, 20, 1972, 3005, 6516, 24141, 150, 17993, 1679, 14936, 1009, 1638, 3749, 20993, 7931, 1005, 12906, 25713, 85, 1048, 1327, 1026, 27136, 1240, 1618, 74, 5701, 1271, 12697, 8124, 1717, 1664, 1132, 25381, 1009, 24264, 22195, 1065, 4136, 1048, 1058, 1596, 30068, 1077, 1213, 2729, 1271, 1005, 1170, 1704, 25601, 29983, 1271, 5298, 1048, 6639, 25253, 1026, 6522, 1005, 1006, 16081, 83, 6579, 2952, 2997, 24141, 150, 1043, 1006, 13207, 1009, 1094, 2360, 3610, 1006, 2323, 1049, 24216, 1049, 1859, 85, 10604, 79, 12754, 16368, 5986, 1992, 1144, 5206, 96, 15767, 20, 1128, 3493, 1229, 27337, 1026, 2201, 11566, 1104, 3982, 2017, 8796, 1049, 8484, 3201, 20, 1603, 1616, 10952, 1870, 1026, 2729, 4474, 1304, 6191, 1009, 10522, 1271, 9694, 6097, 1708, 8285, 4408, 1069, 1745, 1209, 5664, 3830, 20, 7141, 1945, 1006, 1663, 1751, 1060, 2042, 15869, 1571, 1160, 1837, 27505, 3282, 1206, 8555, 20, 1603, 6594, 20487, 1009, 1871, 16844, 1079, 2339, 1124, 5298, 1048, 1058, 2064, 11505, 1233, 15482, 1273, 1008, 29087, 1157, 1357, 5681, 16358, 1896, 1060, 3610, 8606, 1005, 1072, 1058, 1047, 1271, 8879, 1054, 1048, 2237, 1325, 31512, 2154, 1026, 3435, 1160, 1298, 1178, 17222, 1006, 4263, 1305, 2388, 1400, 1026, 2229, 1876, 13906, 3136, 1006, 3964, 5391, 1096, 1006, 3961, 20, 14530, 2307, 1006, 4347, 1009, 1044, 19890, 26456, 1048, 1058, 1298, 2594, 1024, 1006, 2256, 16205, 1006, 2195, 16205, 1006, 1910, 1107, 2106, 15047, 1114, 1944, 10246, 30057, 1289, 5358, 3414, 1029, 3420, 3473, 3644, 1056, 1192, 2176, 21166, 1009, 3770, 30824, 2287, 1349, 1006, 2744, 1009, 1646, 1009, 5514, 20, 2494, 9438, 1992, 2791, 2166, 22832, 1048, 1327, 1124, 5298, 1048, 4730, 79, 1054, 1831, 2269, 1124, 1048, 2643, 1184, 9702, 1068, 4877, 15779, 1704, 1249, 3070, 10902, 1006, 5253, 1605, 2229, 1876, 1160, 1096, 1657, 1044, 1210, 1117, 1047, 1009, 20244, 23838, 1273, 1118, 6360, 1154, 11672, 1016, 1206, 2411, 1199, 77, 1312, 1118, 1044, 10249, 1035, 1210, 1938, 1221, 1009, 1057, 2427, 13197, 8614, 3214, 3336, 1138, 2229, 1876, 1096, 1318, 1044, 1861, 1019, 1631, 1927, 19964, 1159, 13771, 13855, 13687, 8027, 1188, 2339, 1114, 1834, 1009, 4031, 1009, 1622, 1680, 26403, 3368, 1118, 2624, 13517, 1532, 4577, 11048, 3735, 12825, 24979, 4166, 3022, 1006, 6631, 1026, 2878, 1174, 9439, 1049, 5428, 19554, 1898, 625, 39, 1694, 1044, 24681, 1357, 5253, 1479, 1026, 24681, 1049, 6930, 9144, 13044, 1124, 28767, 1060, 11454, 5253, 1058, 1155, 13596, 1068, 1094, 31701, 1703, 9894, 1006, 1668, 7660, 2586, 1026, 15110, 1005, 1026, 29920, 1930, 1082, 3979, 1227, 2628, 1005, 1924, 1127, 23561, 27572, 16815, 1005, 9449, 1060, 6935, 9755, 626, 19679, 3377, 12677, 1090, 7913, 1009, 3756, 1702, 18, 1006, 2071, 1094, 8720, 1009, 1745, 1719, 3336, 2034, 9694, 1510, 5730, 1005, 23399, 21660, 31130, 1668, 2383, 2162, 1194, 1114, 1028, 1843, 1126, 3702, 3179, 2598, 1026, 1808, 1040, 2683, 1069, 1463, 1569, 7397, 14325, 5311, 1235, 3311, 1009, 21410, 1989, 1096, 1044, 23074, 1177, 1048, 1058, 1116, 1469, 80, 5484, 1206, 1058, 5632, 21369, 1159, 1847, 1006, 16081, 1183, 1345, 1014, 1582, 9226, 1309, 1048, 1160, 6733, 1009, 10985, 1178, 1395, 2602, 1278, 3863, 20, 2656, 1096, 1305, 1044, 2499, 1136, 9151, 1009, 14726, 1048, 1058, 8436, 21771, 28087, 9827, 15780, 18892, 1357, 20752, 1063, 19378, 1032, 1112, 1169, 72, 3668, 1140, 1043, 1048, 1058, 2476, 1731, 1989, 1098, 6212, 1262, 1069, 3245, 1017, 1135, 1160, 1096, 19363, 17222, 1094, 17854, 18322, 1054, 13782, 1009, 6697, 1054, 30544, 10764, 1233, 3010, 12526, 4018, 1032, 1236, 1049, 2229, 1876, 5613, 18463, 1009, 9694, 1596, 1371, 30068, 1077, 13848, 9765, 2277, 4306, 7593, 1009, 4422, 1060, 2935, 1005, 1132, 19945, 5834, 1009, 1952, 86, 19525, 1049, 25093, 14763, 2315, 1465, 3046, 1054, 18463, 3861, 5430, 1054, 1048, 1132, 10418, 1596, 18277, 1187, 8326, 1009, 2935, 1005, 1009, 8623, 1105, 4195, 1847, 3750, 2585, 1068, 16703, 1006, 1224, 6389, 1054, 5297, 1006, 9501, 1006, 1224, 3722, 1009, 2011, 1679, 2500, 26381, 1187, 8326, 1009, 2935, 18369, 1565, 1482, 9107, 1049, 3009, 26970, 1114, 5253, 28412, 1026, 2568, 1009, 2935, 2845, 1006, 1178, 14786, 5156, 1005, 29741, 10677, 1250, 1679, 7771, 15906, 2410, 31783, 15883, 16075, 1600, 10146, 1876, 16355, 14350, 1357, 13010, 11747, 3765, 4599, 1213, 4241, 16447, 1304, 2952, 3382, 1048, 5857, 7005, 1094, 31199, 2649, 1070, 3247, 1272, 1213, 7836, 2373, 1018, 2651, 1035, 8226, 2034, 3056, 22014, 15152, 1017, 1333, 1273, 8061, 1016, 1060, 7343, 13225, 7187, 14219, 1206, 2542, 1017, 3304, 3229, 1118, 4604, 16445, 3680, 1005, 14033, 1251, 1120, 1081, 1312, 1054, 12576, 13330, 1153, 13994, 1765, 1029, 1529, 2106, 25342, 1233, 6758, 8606, 1044, 2017, 5239, 1009, 1005, 1162, 1292, 1034, 5348, 1147, 5304, 1766, 1048, 3192, 2643, 18, 1693, 1680, 3505, 1006, 1178, 20984, 1063, 27292, 1064, 1302, 74, 1497, 6300, 1792, 1114, 5507, 24130, 1365, 1578, 2830, 1005, 21195, 3006, 1482, 24959, 1692, 3106, 91, 1446, 77, 1692, 5705, 78, 1550, 75, 20545, 5312, 15, 27540, 1412, 2556, 2914, 16447, 1480, 1054, 1578, 1442, 20, 2034, 3056, 5597, 2370, 1187, 6709, 1060, 1058, 1196, 3995, 1056, 1088, 6024, 1054, 12412, 3529, 1043, 10567, 6066, 1060, 4930, 14813, 1054, 1578, 5940, 1005, 14663, 2567, 7509, 2277, 12987, 1132, 21958, 1009, 7083, 1005, 9688, 19, 132, 90, 4869, 1692, 14696, 1975, 2696, 1789, 1312, 1009, 21652, 20, 1766, 2438, 1045, 1121, 1060, 3285, 14331, 1071, 2300, 1563, 1060, 11454, 2677, 19990, 3004, 20502, 1114, 2689, 12222, 15, 1311, 1032, 1412, 1318, 1044, 22818, 1221, 15693, 1054, 10666, 2471, 2832, 1069, 1118, 15547, 4242, 1699, 1533, 4422, 26050, 1005, 2952, 1049, 4241, 16447, 1304, 2845, 1006, 5593, 5521, 1043, 1006, 17314, 1009, 16420, 15126, 18152, 22762, 2006, 1573, 1005, 1009, 1823, 26408, 25713, 1229, 8761, 3554, 1273, 2717, 2565, 8521, 1009, 11597, 1005, 21544, 2037, 1043, 1041, 1732, 1009, 5630, 10934, 1776, 4367, 5098, 13879, 1026, 4241, 3525, 1291, 2645, 75, 19343, 22026, 19041, 1014, 8463, 3274, 18, 1578, 5963, 7942, 7224, 1054, 5507, 1005, 2730, 1471, 1170, 18463, 4781, 1273, 11132, 1054, 9174, 10877, 16432, 1005, 13391, 20, 7746, 3085, 2241, 1118, 5680, 8326, 1124, 8582, 1009, 7938, 2952, 5430, 1118, 2624, 1004, 1478, 2373, 1088, 2558, 1391, 4324, 1159, 7034, 1207, 1085, 77, 3169, 3926, 5542, 1138, 93, 3933, 4687, 13464, 86, 7429, 8628, 1134, 17813, 1870, 9688, 4134, 1053, 3529, 2013, 90, 4869, 1692, 4986, 9533, 9573, 4269, 1662, 18, 16860, 1142, 20420, 6036, 17214, 1292, 19109, 1208, 5121, 8531, 1120, 1021, 25950, 1295, 13491, 16860, 11127, 6473, 2399, 1683, 1302, 78, 3529, 28273, 6926, 1041, 82, 4566, 4534, 1256, 1776, 4367, 1060, 17578, 16092, 2307, 6522, 1006, 4751, 28433, 18553, 1481, 1040, 1236, 1005, 27272, 1629, 1009, 9573, 3840, 4950, 2701, 4269, 1056, 22027, 1048, 1825, 1153, 1026, 20961, 1009, 12326, 1418, 9481, 2290, 17214, 1292, 5217, 1081, 1024, 11211, 79, 1059, 3430, 6507, 1195, 1044, 1901, 1009, 5597, 4993, 1054, 1807, 1751, 1060, 18104, 1482, 10727, 7720, 1836, 1620, 14540, 1609, 1006, 11765, 1060, 3801, 16727, 1054, 15100, 1511, 1090, 3691, 1026, 15693, 16447, 1304, 1009, 3404, 1009, 30193, 5845, 2125, 2250, 1006, 3861, 6814, 1096, 8908, 1009, 15746, 6238, 16359, 1009, 18683, 1495, 1048, 1048, 1006, 1765, 29584, 1096, 29036, 1140, 1054, 8620, 1118, 10706, 6435, 9935, 5672, 1166, 1356, 7256, 1062, 1393, 1560, 1139, 20, 3126, 1026, 14686, 4736, 1053, 1068, 1006, 8685, 13743, 72, 2477, 8194, 1213, 1622, 18035, 1009, 25200, 6297, 7655, 1578, 6507, 1195, 1044, 1901, 31722, 11132, 1118, 1261, 2281, 1026, 1060, 7922, 1049, 2878, 1174, 9439, 1049, 5428, 19554, 1009, 12825, 24979, 1005, 23348, 5575, 1045, 1916, 16056, 1009, 1094, 3733, 30180, 17711, 1049, 7994, 76, 14897, 20011, 1048, 9126, 1034, 1009, 5231, 1006, 2220, 1026, 4241, 31722, 1890, 12869, 20, 1766, 1791, 7938, 5588, 9256, 1069, 11833, 2848, 1646, 1996, 1005, 1026, 1235, 11350, 1311, 1045, 1095, 2006, 4108, 2845, 1006, 2997, 3770, 1033, 1075, 6893, 5600, 1054, 3425, 2464, 30605, 1114, 4464, 22769, 11889, 21199, 1128, 4901, 1322, 1134, 1418, 9547, 2450, 1009, 12825, 24979, 9108, 4368, 15, 21848, 1231, 3300, 15419, 1094, 2360, 4030, 1055, 1049, 4318, 1005, 1060, 3597, 3895, 3013, 1049, 2792, 1054, 20752, 1424, 1063, 28795, 2404, 3816, 6861, 17796, 1054, 10666, 2443, 1132, 1791, 5410, 30343, 1412, 1094, 2360, 4030, 1055, 1060, 2042, 17818, 1048, 17268, 8073, 1006, 1178, 18633, 9335, 1043, 1026, 17591, 1009, 4577, 1876, 3774, 3617, 19567, 1094, 25753, 13010, 3405, 4755, 24675, 6932, 1005, 23434, 1955, 1061, 1069, 1060, 2677, 19990, 25211, 29787, 1009, 4590, 1005, 1060, 29327, 1168, 1653, 88, 2154, 12825, 24979, 19713, 9421, 1054, 8462, 1054, 2879, 2534, 25678, 15075, 2684, 1237, 2898, 1347, 8272, 15333, 2845, 1006, 1502, 1122, 1130, 5850, 1068, 1006, 6216, 1009, 1138, 13120, 1704, 25465, 1876, 8951, 1006, 6365, 1213, 4318, 15043, 1187, 7180, 1048, 1006, 1381, 4830, 24231, 1096, 6337, 5009, 1271, 14075, 1054, 1048, 5857, 1213, 5108, 1309, 1006, 1664, 2177, 9803, 1006, 5579, 1009, 5574, 13528, 19555, 3592, 14075, 2170, 23874, 1006, 4008, 1009, 13739, 1322, 4088, 1009, 1094, 1871, 13706, 2154, 31315, 1005, 10239, 3567, 1063, 1834, 2952, 1060, 12718, 31704, 1044, 1531, 1009, 1178, 1445, 1236, 1356, 13021, 1326, 91, 3461, 1365, 3969, 1295, 1009, 5298, 20176, 31968, 28753, 1728, 6218, 7195, 1178, 3820, 1009, 1094, 11061, 5925, 17952, 18811, 1157, 1114, 10567, 1054, 6000, 1049, 1235, 3266, 5675, 1357, 4726, 5423, 28487, 2682, 14107, 20008, 15, 2904, 1182, 7195, 1213, 1109, 2629, 22510, 1006, 6280, 11444, 1009, 1345, 1130, 5680, 1172, 4142, 16046, 3398, 1233, 31824, 2340, 1048, 1998, 1264, 1096, 1094, 3161, 1049, 8576, 1009, 12158, 1509, 5268, 10646, 2565, 1094, 3161, 1048, 1160, 4291, 11637, 8416, 1006, 4384, 3486, 1305, 23386, 10988, 2344, 3240, 1005, 1068, 14249, 1006, 1834, 2952, 1060, 23996, 1061, 1051, 1896, 1026, 3679, 1005, 10574, 1049, 2792, 1356, 12960, 1048, 1327, 1132, 6337, 14468, 1009, 2693, 1006, 2064, 1139, 2485, 16564, 1112, 1005, 1762, 11252, 2939, 3214, 3336, 1063, 3593, 2360, 1096, 1992, 19446, 1679, 2987, 6709, 20, 1138, 4241, 16447, 1304, 1976, 2225, 1130, 1371, 1043, 1026, 2952, 1876, 1184, 4720, 1599, 1068, 4682, 1114, 22772, 1058, 5190, 88, 1044, 10833, 1009 ]

[ 1094, 21507, 1962, 1665, 1068, 1006, 1428, 1006, 13664, 1620, 1160, 1836, 3913, 12996, 1776, 1531, 1054, 1048, 24863, 79, 4337, 1048, 1325, 28281, 1060, 5380, 31485, 18, 6706, 1006, 10617, 1009, 1048, 5542, 1325, 22737, 1043, 1067, 3107, 11945, 3735, 1184, 3232, 1058, 22368, 1005, 5542, 6303, 10373, 1024, 1006, 10453, 1049, 3077, 1009, 24863, 79, 2373, 7281, 25924, 1589, 1006, 3248, 2453, 1009, 4384, 1005, 1503, 25924, 1589, 1006, 8150, 18245, 25901, 1011, 2426, 2668, 1680, 1026, 1058, 3158, 7669, 1094, 2987, 12337, 20, 1138, 2092, 7603, 1836, 1215, 1368, 7295, 1159, 1026, 1060, 14803, 1236, 6760, 78, 1362, 20, 1138, 1638, 1006, 8147, 6027, 1294, 26246, 1084, 1503, 3074, 1006, 6530, 1068, 1026, 5542, 1005, 1264, 1325, 5595, 30983, 29808, 12575, 1492, 16793, 175, 2502, 626, 1096, 1044, 3066, 1159, 92, 6633, 1138, 19140, 1009, 1094, 7475, 1009, 1094, 6697, 20, 2858, 20961, 1048, 6054, 1006, 5865, 1064, 2652, 1, 2373, 8096, 3036, 1160, 1795, 1046, 9913, 19814, 1795, 1046, 1783, 626, 32, 1594, 3036, 1009, 7120, 1596, 5435, 1312, 1054, 1657, 18485, 11, 1271, 11832, 25179, 1918, 1054, 4579, 1605, 2285, 1009, 11832, 3746, 5074, 25179, 1918, 9564, 8856, 7089, 1072, 1901, 4995, 1054, 2220, 1026, 3878, 9704, 3068, 15628, 1531, 21140, 1026, 2376, 7553, 6278, 1009, 8084, 30022, 1049, 15302, 6278, 1009, 8084, 5651, 3336, 2034, 11832, 3746, 5074, 25179, 1918, 18909, 3360, 1132, 17174, 14505, 1049, 2871, 1010, 2950, 1132, 1064, 2105, 73, 1626, 4261, 1124, 11832, 24084, 1009, 24050, 8419, 1005, 1124, 16383, 2823, 5322, 30607, 1009, 3248, 3915, 5891, 12994, 1229, 1124, 25690, 7949, 1009, 1487, 3211, 5402, 30, 11832, 1054, 3209, 1068, 1422, 3162, 2704, 25, 1072, 1901, 7755, 31141, 1184, 4885, 2271, 7218, 1511, 4088, 26503, 1422, 3162, 2337, 2639, 7731, 6021, 1026, 1712, 31141, 13510, 1195, 1054, 7123, 1043, 1675, 28477, 5988, 4498, 2223, 1594, 3036, 1131, 7120, 1596, 5435, 1312, 1054, 1657, 18485, 11, 1271, 11832, 25179, 1918, 1054, 4579, 3812, 12776, 1124, 5852, 1049, 1908, 19321, 6841, 1072, 3550, 3858, 1043, 8559, 1060, 7569, 10519, 1571, 4088, 7949, 1009, 7819, 5515, 30, 25690, 1054, 3209, 1068, 9884, 4059, 23, 1072, 1901, 7755, 1043, 4465, 1072, 28181, 27907, 3893, 31549, 28807, 1005, 27114, 11930, 4685, 1195, 13510, 4465, 22530, 1054, 1791, 1734, 6780, 7178, 32, 8250, 1005, 15708, 9003, 1026, 1210, 91, 3335, 4850, 1060, 12460, 1072, 3550, 3858, 1026, 1561, 1620, 1884, 2448, 1043, 7427, 5533, 1126, 1847, 4553, 1118, 1044, 1054, 1752, 3251, 17174, 14505, 1048, 13876, 1072, 1784, 6323, 18, 17021, 1049, 3225, 1565, 1063, 1712, 1751, 1271, 10017, 5856, 11832, 3746, 5074, 1005, 25179, 1918, 1072, 1908, 1096, 17241, 15127, 2525, 18231, 1349, 1049, 6812, 8120, 15150, 2081, 25, 9395, 1005, 5102, 1365, 2224, 1005, 3939, 1646, 1071, 2704, 11, 1049, 3225, 15, 2904, 1436, 1184, 3746, 5074, 1605, 1210, 7553, 1318, 2521, 1044, 15693, 1271, 2595, 4761, 1184, 3746, 5074, 1049, 1908, 1365, 1132, 1646, 1009, 4229, 1005, 19742, 1551, 2303, 1043, 1026, 13542, 1100, 2523, 8545, 5036, 1751, 1060, 17144, 5013, 1672, 1571, 1006, 5405, 1009, 7427, 6509, 1029, 1195, 10070, 11, 4260, 1233, 4612, 3267, 32, 1072, 3878, 2122, 5405, 1096, 1009, 18068, 25, 11832, 3746, 5074, 25179, 1918, 1006, 1752, 3114, 1910, 13409, 2097, 1114, 17144, 27013, 6627, 1054, 18054, 31, 11832, 1006, 1752, 3114, 1910, 4231, 1533, 1641, 1184, 3746, 1893, 1049, 1908, 1072, 3041, 1195, 1764, 3381, 1049, 5566, 24316, 14134, 2663, 26446, 9033, 1118, 7503, 1301, 1139, 26008, 2645, 23988, 1063, 2140, 82, 1468, 2152, 1029, 4045, 23988, 3584, 11035, 1034, 1119, 624, 53, 1553, 1071, 3831, 1349, 1764, 12912, 1119, 624, 53, 1553, 1071, 3831, 15, 1005, 24942, 1049, 5683, 30478, 2645, 11515, 2098, 8303, 51, 1065, 4588, 27697, 40, 1405, 1757, 1184, 1009, 1083, 9557, 1009, 13002, 1054, 1487, 3952, 5168, 2198, 1029, 4285, 4588, 8242, 2601, 9884, 4655, 26, 13002, 1598, 1102, 1054, 2436, 52, 4315, 1797, 23286, 5, 1165, 31681, 1168, 4589, 73, 1326, 2140, 3700, 96, 82, 26768, 4678, 1009, 7661, 4678, 1009, 27807, 5027, 1005, 2614, 30552, 1337, 9476, 2925, 12935, 4819, 3127, 1145, 3794, 3140, 4561, 11834, 7059, 6218, 41, 1593, 9598, 5584, 15300, 1047, 4300, 9684, 17697, 1005, 7625, 10641, 1205, 12456, 2555, 1165, 6599, 1182, 6742, 1009, 1622, 10039, 1009, 22534, 6182, 1142, 1350, 17906, 6176, 1561, 9581, 1561, 1062, 29657, 8308, 3279, 6930, 1876, 10049, 6061, 3500, 26002, 1134, 2450, 1021, 7626, 9581, 4620, 1134, 2450, 1021, 1033, 6551, 26768, 21913, 25609, 14900, 9581, 13098, 1106, 18311, 6916, 8492, 1060, 13811, 22803, 1137, 18722, 6459, 10127, 6891, 8291, 13755, 85, 10790, 9963, 11268, 1049, 2709, 19662, 6721, 1060, 10319, 4813, 1060, 12935, 2434, 28676, 25950, 17121, 1005, 2642, 1593, 5770, 20959, 1073, 16106, 6068, 3517, 1587, 20989, 6511, 8370, 1420, 10866, 27559, 1066, 7500, 18586, 10492, 4501, 1165, 1035, 10219, 10219, 3517, 26015, 2146, 76, 12684, 5995, 3517, 21639, 2112, 16859, 15052, 19507, 1021, 1, 18227, 7026, 1160, 1225, 7346, 1068, 3871, 1006, 3548, 21594, 4324, 1919, 2670, 1060, 15352, 1214, 1175, 10129, 9945, 1691, 13196, 1759, 1032, 1021, 1623, 14591, 10222, 1790, 2051, 20862, 92, 1573, 1576, 1085, 10641, 89, 1383, 12377, 1654, 3576, 2262, 1010, 23701, 3446, 14996, 19629, 19051, 2503, 1166, 1797, 7367, 1392, 3996, 55, 1383, 1269, 13646, 17888, 2655, 17910, 8677, 17698, 10888, 1458, 29564, 15925, 10222, 86, 1701, 2059, 1467, 72, 2703, 1274, 1467, 72, 2703, 1274, 10222, 86, 1701, 4396, 1026, 1189, 1015, 1922, 2401, 10222, 1019, 1026, 1189, 1015, 1922, 2401, 29564, 6080, 1099, 14461, 122, 1366, 79, 4296, 1018, 8677, 3900, 122, 1366, 79, 4296, 1018, 8677, 25330, 168, 1263, 14216, 1024, 11479, 1358, 1343, 29564, 6080, 1217, 3008, 4876, 1467, 1162, 1434, 2995, 1093, 2435, 1118, 31428, 1093, 2435, 2555, 2222, 8124, 5, 77, 21477, 9581, 1062, 8131, 3851, 3568, 17144, 16670, 4068, 2320, 1053, 4275, 6970, 3063, 2986, 9581, 2231, 9858, 6391, 5731, 10790, 10790, 25549, 1303, 12050, 14418, 10374, 6579, 13573, 12568, 12568, 6659, 1166, 17183, 1258, 1793, 1029, 14902, 12656, 15352, 1214, 1467, 19934, 1009, 30562, 10250, 1122, 2389, 10222, 1790, 2051, 29808, 53, 7026, 1160, 1225, 7346, 1068, 3871, 1006, 3548, 21594, 4324, 1919, 2670, 1060, 15352, 1214, 4073, 3381, 4763, 15554, 1060, 17595, 1026, 2671, 20296, 5759, 15069, 1114, 21109, 8579, 26644, 2494, 30090, 1264, 17863, 1261, 24323, 30188, 5629, 1890, 1224, 5110, 1005, 20982, 7002, 1159, 1006, 26319, 3186, 27, 1005, 2263, 3465, 1394, 1009, 7450, 12568, 13389, 1009, 2436, 1009, 3973, 8914, 30, 5207, 1797, 2060, 13755, 11933, 3407, 1195, 6342, 1837, 1184, 1009, 1675, 1646, 1833, 25145, 32, 17144, 1054, 6915, 2503, 1061, 1183, 21691, 1940, 1146, 1214, 1691, 2628, 1045, 4115, 13960, 1363, 1170, 12568, 2503, 1061, 1183, 21691, 15352, 1214, 10340, 20296, 7450, 12568, 7572, 31980, 1271, 14376, 1049, 3810, 1531, 12505, 2097, 1124, 1173, 8806, 3586, 24804, 1068, 1026, 9568, 1060, 19362, 2162, 1593, 1140, 2670, 12936, 21691, 18, 1026, 2670, 1060, 8240, 2769, 1049, 7816, 1047, 4015, 1146, 1214, 1349, 3381, 4763, 15554, 1060, 17595, 20379, 2864, 4571, 1393, 1726, 1465, 2986, 1006, 3808, 18258, 3155, 1009, 7450, 12568, 1060, 5110, 10731, 3382, 1006, 18273, 6061, 3500, 3840, 83, 9233, 162, 2929, 28793, 12877, 1114, 2413, 1009, 6061, 13385, 9963, 11268, 1049, 2709, 2904, 1010, 2528, 1048, 9038, 1006, 7102, 1054, 3370, 1049, 1901, 7755, 31704, 1026, 5333, 3027, 18258, 4039, 2224, 7450, 8579, 16205, 7828, 4564, 1294, 4679, 1791, 3952, 1005, 2125, 1072, 1531, 1049, 25608, 1060, 2670, 20, 2373, 44, 1029, 1508, 32, 4803, 11784, 1043, 1616, 4324, 4979, 1890, 6521, 1233, 9945, 1054, 1235, 17491, 1054, 17145, 6178, 1006, 3808, 1233, 3349, 1049, 9295, 4553, 1357, 3568, 1634, 27950, 1291, 3267, 8514, 1919, 4207, 2373, 7761, 1016, 626, 1124, 4741, 1392, 1213, 2671, 1048, 19378, 1893, 1132, 23196, 14385, 1054, 2263, 3465, 1394, 2271, 1006, 1057, 25521, 1485, 28608, 1776, 2268, 18953, 1153, 2464, 5615, 1009, 1094, 16757, 1081, 3013, 9150, 1154, 3568, 1005, 27397, 1096, 10492, 1026, 2373, 23, 9557, 1009, 24252, 27574, 1166, 626, 1118, 12936, 6033, 6521, 1006, 19413, 1026, 4472, 1131, 27184, 24677, 4472, 1167, 1013, 1348, 1005, 31905, 91, 1212, 1091, 1009, 10836, 1356, 9214, 1049, 16101, 1058, 7734, 22591, 1043, 1132, 7109, 23503, 4991, 1010, 1072, 2671, 1957, 1468, 1009, 10340, 4115, 2652, 2373, 43, 5478, 2671, 1160, 1225, 15851, 1068, 1261, 1094, 2869, 28440, 1005, 18675, 1043, 1132, 7328, 8124, 4324, 3429, 2275, 11090, 10039, 1009, 7493, 1400, 1026, 3633, 6721, 1060, 5829, 1005, 31905, 25802, 1009, 8084, 9945, 1009, 1764, 4989, 5649, 32, 2373, 26759, 1094, 1834, 1159, 9495, 12583, 1006, 11855, 1049, 8241, 626, 12904, 3885, 1225, 1159, 1178, 2670, 1060, 15352, 1214, 1072, 2671, 20296, 4324, 5649, 3381, 4763, 15554, 1060, 6285, 14322, 13440, 14599, 1623, 17181, 1146, 1214, 11781, 2770, 6701, 1620, 1049, 9112, 3697, 1021, 2483, 1060, 15352, 1214, 1005, 1060, 4716, 1009, 24093, 88, 1026, 5456, 1627, 1048, 2472, 1043, 1657, 8060, 11, 1060, 1224, 4008, 3225, 1009, 9017, 20, 11063, 1225, 1273, 1159, 1006, 26319, 3186, 2400, 1006, 27883, 1060, 15352, 1214, 1005, 1049, 6112, 1007, 1005, 1006, 11477, 1990, 1271, 5729, 8579, 16205, 1596, 17285, 1114, 3456, 1377, 7766, 1006, 2218, 2094, 6285, 1160, 2284, 2281, 1141, 1081, 7733, 1049, 5333, 1704, 8796, 2155, 3417, 1006, 11990, 1060, 15352, 1214, 1043, 1026, 25608, 1060, 2670, 12936, 37, 22157, 2568, 5098, 28615, 2220, 1026, 18837, 6126, 1094, 30242, 1005, 1503, 4540, 5392, 20, 2656, 1225, 1159, 1178, 2670, 1060, 15352, 1214, 1072, 2671, 20296, 7550, 3634, 3659, 1124, 1600, 10266, 12568, 1072, 2671, 10340, 20296, 26357, 2449, 4805, 4294, 3803, 2741, 1047, 1043, 1044, 1025, 2575, 1009, 12503, 2246, 19196, 15891, 1094, 2759, 1005, 27720, 1680, 1114, 15352, 1214, 20, 1138, 7927, 2999, 1655, 1255, 92, 2575, 1068, 3370, 67, 1195, 1044, 2803, 2512, 1009, 7654, 1060, 2573, 1048, 1620, 3971, 1178, 1798, 1599, 1309, 1325, 1680, 26999, 1005, 1160, 2155, 12716, 4697, 10996, 20, 4685, 18760, 23358, 1114, 2869, 1043, 1132, 11872, 8579, 16205, 1566, 1048, 19196, 29529, 1094, 2869, 1009, 6992, 1005, 24482, 1068, 2116, 3144, 9072, 1837, 1044, 5225, 1337, 15940, 5645, 2869, 1009, 2011, 1005, 9797, 1043, 1006, 21109, 1634, 27950, 3382, 1118, 1616, 3230, 4319, 1048, 5711, 3748, 4811, 4195, 1005, 1503, 4540, 2199, 1930, 2364, 1184, 1049, 1048, 28333, 1377, 2494, 2348, 5879, 1072, 2358, 2961, 1303, 5033, 13293, 1655, 83, 1193, 8237, 10038, 1060, 4158, 1031, 2176, 1187, 1073, 20132, 30014, 1492, 1049, 1561, 7113, 3315, 1089, 1048, 1503, 1566, 2257, 1044, 2535, 1043, 1006, 3865, 21594, 1005, 1048, 2364, 3074, 15310, 1043, 1687, 1846, 5473, 2475, 3952, 1072, 5333, 20, 1138, 1048, 1325, 1058, 3488, 2940, 1096, 1044, 2671, 1048, 1160, 1225, 1044, 15851, 1009, 1261, 1094, 2869, 28440, 1005, 18675, 1043, 1132, 7328, 30765, 1043, 1006, 7116, 20, 2858, 2671, 1068, 10461, 1006, 13976, 1187, 5824, 1104, 3063, 1273, 1187, 1305, 19, 1363, 2339, 1187, 1305, 5786, 17054, 1187, 11872, 8579, 16205, 1989, 2671, 1225, 1048, 1261, 1493, 9797, 20, 1084, 1325, 1058, 1169, 2178, 1077, 1048, 1026, 7778, 1009, 8084, 1009, 1764, 2434, 2177, 1026, 2017, 6721, 1060, 21009, 1044, 7778, 1048, 1225, 1094, 1834, 1159, 9495, 12583, 1006, 11855, 1049, 8241, 9493, 3074, 1493, 22591, 1043, 1989, 6490, 20011, 1309, 1213, 1592, 1557, 13122, 1114, 20851, 2094, 1114, 23111, 1114, 1957, 7440, 2113, 1049, 4241, 21594, 1049, 1561, 1704, 8796, 6701, 1322, 1026, 2671, 10340, 4115, 1870, 1309, 1026, 2671, 12936, 1318, 1195, 3822, 28999, 1054, 2869, 1726, 1600, 10266, 12568, 1533, 3969, 1048, 28999, 1005, 3579, 1100, 22264, 14013, 1159, 1006, 12936, 3904, 1060, 20216, 1837, 1094, 12106, 26564, 2605, 1992, 1687, 2155, 5392, 2170, 1043, 2693, 1006, 31410, 1687, 27574, 1079, 1184, 1009, 1083, 9557, 1009, 24252, 1009, 7450, 12568, 4908, 2268, 1592, 1043, 3530, 11442, 9107, 1049, 12694, 1264, 1058, 16512, 1159, 1026, 2671, 1048, 2444, 27574, 1079, 7450, 12568, 2271, 1006, 17182, 5051, 20, 1138, 1048, 1762, 13618, 1724, 1079, 3592, 2263, 3465, 1394, 37, 5344, 6947, 1049, 2568, 1009, 2263, 3465, 1112, 1096, 1006, 1184, 4856, 2672, 23126, 1040, 1791, 8040, 1048, 6510, 1178, 5365, 3983, 1505, 1048, 5756, 2122, 5223, 1009, 14488, 1112, 37, 11735, 16037, 1114, 21009, 3230, 4319, 1044, 7245, 6191, 2271, 1026, 9032, 1072, 17328, 1060, 2263, 3465, 1112, 1009, 10756, 2669, 8128, 1049, 4153, 1655, 1363, 1007, 21594, 1054, 27114, 1549, 13916, 1551, 10756, 2669, 7514, 1094, 5500, 8141, 1048, 7389, 6705, 1493, 1006, 21009, 1048, 1195, 1026, 17211, 26456, 1655, 2917, 75, 15033, 1048 ]

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

[ 1094, 21507, 1962, 1665, 1068, 1006, 1428, 1006, 13664, 1620, 1160, 1836, 3913, 12996, 1776, 1531, 1054, 1048, 24863, 79, 4337, 1048, 1325, 28281, 1060, 5380, 31485, 18, 6706, 1006, 10617, 1009, 1048, 5542, 1325, 22737, 1043, 1067, 3107, 11945, 3735, 1184, 3232, 1058, 22368, 1005, 5542, 6303, 10373, 1024, 1006, 10453, 1049, 3077, 1009, 24863, 79, 2373, 7281, 25924, 1589, 1006, 3248, 2453, 1009, 4384, 1005, 1503, 25924, 1589, 1006, 8150, 18245, 25901, 1011, 2426, 2668, 1680, 1026, 1058, 3158, 7669, 1094, 2987, 12337, 20, 1138, 2092, 7603, 1836, 1215, 1368, 7295, 1159, 1026, 1060, 14803, 1236, 6760, 78, 1362, 20, 1138, 1638, 1006, 8147, 6027, 1294, 26246, 1084, 1503, 3074, 1006, 6530, 1068, 1026, 5542, 1005, 1264, 1325, 5595, 30983, 29808, 12575, 1492, 16793, 175, 2502, 626, 1096, 1044, 3066, 1159, 92, 6633, 1138, 19140, 1009, 1094, 7475, 1009, 1094, 6697, 20, 2858, 20961, 1048, 6054, 1006, 5865, 1064, 2652, 1, 2373, 8096, 3036, 1160, 1795, 1046, 9913, 19814, 1795, 1046, 1783, 626, 32, 1594, 3036, 1009, 7120, 1596, 5435, 1312, 1054, 1657, 18485, 11, 1271, 11832, 25179, 1918, 1054, 4579, 1605, 2285, 1009, 11832, 3746, 5074, 25179, 1918, 9564, 8856, 7089, 1072, 1901, 4995, 1054, 2220, 1026, 3878, 9704, 3068, 15628, 1531, 21140, 1026, 2376, 7553, 6278, 1009, 8084, 30022, 1049, 15302, 6278, 1009, 8084, 5651, 3336, 2034, 11832, 3746, 5074, 25179, 1918, 18909, 3360, 1132, 17174, 14505, 1049, 2871, 1010, 2950, 1132, 1064, 2105, 73, 1626, 4261, 1124, 11832, 24084, 1009, 24050, 8419, 1005, 1124, 16383, 2823, 5322, 30607, 1009, 3248, 3915, 5891, 12994, 1229, 1124, 25690, 7949, 1009, 1487, 3211, 5402, 30, 11832, 1054, 3209, 1068, 1422, 3162, 2704, 25, 1072, 1901, 7755, 31141, 1184, 4885, 2271, 7218, 1511, 4088, 26503, 1422, 3162, 2337, 2639, 7731, 6021, 1026, 1712, 31141, 13510, 1195, 1054, 7123, 1043, 1675, 28477, 5988, 4498, 2223, 1594, 3036, 1131, 7120, 1596, 5435, 1312, 1054, 1657, 18485, 11, 1271, 11832, 25179, 1918, 1054, 4579, 3812, 12776, 1124, 5852, 1049, 1908, 19321, 6841, 1072, 3550, 3858, 1043, 8559, 1060, 7569, 10519, 1571, 4088, 7949, 1009, 7819, 5515, 30, 25690, 1054, 3209, 1068, 9884, 4059, 23, 1072, 1901, 7755, 1043, 4465, 1072, 28181, 27907, 3893, 31549, 28807, 1005, 27114, 11930, 4685, 1195, 13510, 4465, 22530, 1054, 1791, 1734, 6780, 7178, 32, 8250, 1005, 15708, 9003, 1026, 1210, 91, 3335, 4850, 1060, 12460, 1072, 3550, 3858, 1026, 1561, 1620, 1884, 2448, 1043, 7427, 5533, 1126, 1847, 4553, 1118, 1044, 1054, 1752, 3251, 17174, 14505, 1048, 13876, 1072, 1784, 6323, 18, 17021, 1049, 3225, 1565, 1063, 1712, 1751, 1271, 10017, 5856, 11832, 3746, 5074, 1005, 25179, 1918, 1072, 1908, 1096, 17241, 15127, 2525, 18231, 1349, 1049, 6812, 8120, 15150, 2081, 25, 9395, 1005, 5102, 1365, 2224, 1005, 3939, 1646, 1071, 2704, 11, 1049, 3225, 15, 2904, 1436, 1184, 3746, 5074, 1605, 1210, 7553, 1318, 2521, 1044, 15693, 1271, 2595, 4761, 1184, 3746, 5074, 1049, 1908, 1365, 1132, 1646, 1009, 4229, 1005, 19742, 1551, 2303, 1043, 1026, 13542, 1100, 2523, 8545, 5036, 1751, 1060, 17144, 5013, 1672, 1571, 1006, 5405, 1009, 7427, 6509, 1029, 1195, 10070, 11, 4260, 1233, 4612, 3267, 32, 1072, 3878, 2122, 5405, 1096, 1009, 18068, 25, 11832, 3746, 5074, 25179, 1918, 1006, 1752, 3114, 1910, 13409, 2097, 1114, 17144, 27013, 6627, 1054, 18054, 31, 11832, 1006, 1752, 3114, 1910, 4231, 1533, 1641, 1184, 3746, 1893, 1049, 1908, 1072, 3041, 1195, 1764, 3381, 1049, 5566, 24316, 14134, 2663, 26446, 9033, 1118, 7503, 1301, 1139, 26008, 2645, 23988, 1063, 2140, 82, 1468, 2152, 1029, 4045, 23988, 3584, 11035, 1034, 1119, 624, 53, 1553, 1071, 3831, 1349, 1764, 12912, 1119, 624, 53, 1553, 1071, 3831, 15, 1005, 24942, 1049, 5683, 30478, 2645, 11515, 2098, 8303, 51, 1065, 4588, 27697, 40, 1405, 1757, 1184, 1009, 1083, 9557, 1009, 13002, 1054, 1487, 3952, 5168, 2198, 1029, 4285, 4588, 8242, 2601, 9884, 4655, 26, 13002, 1598, 1102, 1054, 2436, 52, 4315, 1797, 23286, 5, 1165, 31681, 1168, 4589, 73, 1326, 2140, 3700, 96, 82, 26768, 4678, 1009, 7661, 4678, 1009, 27807, 5027, 1005, 2614, 30552, 1337, 9476, 2925, 12935, 4819, 3127, 1145, 3794, 3140, 4561, 11834, 7059, 6218, 41, 1593, 9598, 5584, 15300, 1047, 4300, 9684, 17697, 1005, 7625, 10641, 1205, 12456, 2555, 1165, 6599, 1182, 6742, 1009, 1622, 10039, 1009, 22534, 6182, 1142, 1350, 17906, 6176, 1561, 9581, 1561, 1062, 29657, 8308, 3279, 6930, 1876, 10049, 6061, 3500, 26002, 1134, 2450, 1021, 7626, 9581, 4620, 1134, 2450, 1021, 1033, 6551, 26768, 21913, 25609, 14900, 9581, 13098, 1106, 18311, 6916, 8492, 1060, 13811, 22803, 1137, 18722, 6459, 10127, 6891, 8291, 13755, 85, 10790, 9963, 11268, 1049, 2709, 19662, 6721, 1060, 10319, 4813, 1060, 12935, 2434, 28676, 25950, 17121, 1005, 2642, 1593, 5770, 20959, 1073, 16106, 6068, 3517, 1587, 20989, 6511, 8370, 1420, 10866, 27559, 1066, 7500, 18586, 10492, 4501, 1165, 1035, 10219, 10219, 3517, 26015, 2146, 76, 12684, 5995, 3517, 21639, 2112, 16859, 15052, 19507, 1021, 1, 18227, 7026, 1160, 1225, 7346, 1068, 3871, 1006, 3548, 21594, 4324, 1919, 2670, 1060, 15352, 1214, 1175, 10129, 9945, 1691, 13196, 1759, 1032, 1021, 1623, 14591, 10222, 1790, 2051, 20862, 92, 1573, 1576, 1085, 10641, 89, 1383, 12377, 1654, 3576, 2262, 1010, 23701, 3446, 14996, 19629, 19051, 2503, 1166, 1797, 7367, 1392, 3996, 55, 1383, 1269, 13646, 17888, 2655, 17910, 8677, 17698, 10888, 1458, 29564, 15925, 10222, 86, 1701, 2059, 1467, 72, 2703, 1274, 1467, 72, 2703, 1274, 10222, 86, 1701, 4396, 1026, 1189, 1015, 1922, 2401, 10222, 1019, 1026, 1189, 1015, 1922, 2401, 29564, 6080, 1099, 14461, 122, 1366, 79, 4296, 1018, 8677, 3900, 122, 1366, 79, 4296, 1018, 8677, 25330, 168, 1263, 14216, 1024, 11479, 1358, 1343, 29564, 6080, 1217, 3008, 4876, 1467, 1162, 1434, 2995, 1093, 2435, 1118, 31428, 1093, 2435, 2555, 2222, 8124, 5, 77, 21477, 9581, 1062, 8131, 3851, 3568, 17144, 16670, 4068, 2320, 1053, 4275, 6970, 3063, 2986, 9581, 2231, 9858, 6391, 5731, 10790, 10790, 25549, 1303, 12050, 14418, 10374, 6579, 13573, 12568, 12568, 6659, 1166, 17183, 1258, 1793, 1029, 14902, 12656, 15352, 1214, 1467, 19934, 1009, 30562, 10250, 1122, 2389, 10222, 1790, 2051, 29808, 53, 7026, 1160, 1225, 7346, 1068, 3871, 1006, 3548, 21594, 4324, 1919, 2670, 1060, 15352, 1214, 4073, 3381, 4763, 15554, 1060, 17595, 1026, 2671, 20296, 5759, 15069, 1114, 21109, 8579, 26644, 2494, 30090, 1264, 17863, 1261, 24323, 30188, 5629, 1890, 1224, 5110, 1005, 20982, 7002, 1159, 1006, 26319, 3186, 27, 1005, 2263, 3465, 1394, 1009, 7450, 12568, 13389, 1009, 2436, 1009, 3973, 8914, 30, 5207, 1797, 2060, 13755, 11933, 3407, 1195, 6342, 1837, 1184, 1009, 1675, 1646, 1833, 25145, 32, 17144, 1054, 6915, 2503, 1061, 1183, 21691, 1940, 1146, 1214, 1691, 2628, 1045, 4115, 13960, 1363, 1170, 12568, 2503, 1061, 1183, 21691, 15352, 1214, 10340, 20296, 7450, 12568, 7572, 31980, 1271, 14376, 1049, 3810, 1531, 12505, 2097, 1124, 1173, 8806, 3586, 24804, 1068, 1026, 9568, 1060, 19362, 2162, 1593, 1140, 2670, 12936, 21691, 18, 1026, 2670, 1060, 8240, 2769, 1049, 7816, 1047, 4015, 1146, 1214, 1349, 3381, 4763, 15554, 1060, 17595, 20379, 2864, 4571, 1393, 1726, 1465, 2986, 1006, 3808, 18258, 3155, 1009, 7450, 12568, 1060, 5110, 10731, 3382, 1006, 18273, 6061, 3500, 3840, 83, 9233, 162, 2929, 28793, 12877, 1114, 2413, 1009, 6061, 13385, 9963, 11268, 1049, 2709, 2904, 1010, 2528, 1048, 9038, 1006, 7102, 1054, 3370, 1049, 1901, 7755, 31704, 1026, 5333, 3027, 18258, 4039, 2224, 7450, 8579, 16205, 7828, 4564, 1294, 4679, 1791, 3952, 1005, 2125, 1072, 1531, 1049, 25608, 1060, 2670, 20, 2373, 44, 1029, 1508, 32, 4803, 11784, 1043, 1616, 4324, 4979, 1890, 6521, 1233, 9945, 1054, 1235, 17491, 1054, 17145, 6178, 1006, 3808, 1233, 3349, 1049, 9295, 4553, 1357, 3568, 1634, 27950, 1291, 3267, 8514, 1919, 4207, 2373, 7761, 1016, 626, 1124, 4741, 1392, 1213, 2671, 1048, 19378, 1893, 1132, 23196, 14385, 1054, 2263, 3465, 1394, 2271, 1006, 1057, 25521, 1485, 28608, 1776, 2268, 18953, 1153, 2464, 5615, 1009, 1094, 16757, 1081, 3013, 9150, 1154, 3568, 1005, 27397, 1096, 10492, 1026, 2373, 23, 9557, 1009, 24252, 27574, 1166, 626, 1118, 12936, 6033, 6521, 1006, 19413, 1026, 4472, 1131, 27184, 24677, 4472, 1167, 1013, 1348, 1005, 31905, 91, 1212, 1091, 1009, 10836, 1356, 9214, 1049, 16101, 1058, 7734, 22591, 1043, 1132, 7109, 23503, 4991, 1010, 1072, 2671, 1957, 1468, 1009, 10340, 4115, 2652, 2373, 43, 5478, 2671, 1160, 1225, 15851, 1068, 1261, 1094, 2869, 28440, 1005, 18675, 1043, 1132, 7328, 8124, 4324, 3429, 2275, 11090, 10039, 1009, 7493, 1400, 1026, 3633, 6721, 1060, 5829, 1005, 31905, 25802, 1009, 8084, 9945, 1009, 1764, 4989, 5649, 32, 2373, 26759, 1094, 1834, 1159, 9495, 12583, 1006, 11855, 1049, 8241, 626, 12904, 3885, 1225, 1159, 1178, 2670, 1060, 15352, 1214, 1072, 2671, 20296, 4324, 5649, 3381, 4763, 15554, 1060, 6285, 14322, 13440, 14599, 1623, 17181, 1146, 1214, 11781, 2770, 6701, 1620, 1049, 9112, 3697, 1021, 2483, 1060, 15352, 1214, 1005, 1060, 4716, 1009, 24093, 88, 1026, 5456, 1627, 1048, 2472, 1043, 1657, 8060, 11, 1060, 1224, 4008, 3225, 1009, 9017, 20, 11063, 1225, 1273, 1159, 1006, 26319, 3186, 2400, 1006, 27883, 1060, 15352, 1214, 1005, 1049, 6112, 1007, 1005, 1006, 11477, 1990, 1271, 5729, 8579, 16205, 1596, 17285, 1114, 3456, 1377, 7766, 1006, 2218, 2094, 6285, 1160, 2284, 2281, 1141, 1081, 7733, 1049, 5333, 1704, 8796, 2155, 3417, 1006, 11990, 1060, 15352, 1214, 1043, 1026, 25608, 1060, 2670, 12936, 37, 22157, 2568, 5098, 28615, 2220, 1026, 18837, 6126, 1094, 30242, 1005, 1503, 4540, 5392, 20, 2656, 1225, 1159, 1178, 2670, 1060, 15352, 1214, 1072, 2671, 20296, 7550, 3634, 3659, 1124, 1600, 10266, 12568, 1072, 2671, 10340, 20296, 26357, 2449, 4805, 4294, 3803, 2741, 1047, 1043, 1044, 1025, 2575, 1009, 12503, 2246, 19196, 15891, 1094, 2759, 1005, 27720, 1680, 1114, 15352, 1214, 20, 1138, 7927, 2999, 1655, 1255, 92, 2575, 1068, 3370, 67, 1195, 1044, 2803, 2512, 1009, 7654, 1060, 2573, 1048, 1620, 3971, 1178, 1798, 1599, 1309, 1325, 1680, 26999, 1005, 1160, 2155, 12716, 4697, 10996, 20, 4685, 18760, 23358, 1114, 2869, 1043, 1132, 11872, 8579, 16205, 1566, 1048, 19196, 29529, 1094, 2869, 1009, 6992, 1005, 24482, 1068, 2116, 3144, 9072, 1837, 1044, 5225, 1337, 15940, 5645, 2869, 1009, 2011, 1005, 9797, 1043, 1006, 21109, 1634, 27950, 3382, 1118, 1616, 3230, 4319, 1048, 5711, 3748, 4811, 4195, 1005, 1503, 4540, 2199, 1930, 2364, 1184, 1049, 1048, 28333, 1377, 2494, 2348, 5879, 1072, 2358, 2961, 1303, 5033, 13293, 1655, 83, 1193, 8237, 10038, 1060, 4158, 1031, 2176, 1187, 1073, 20132, 30014, 1492, 1049, 1561, 7113, 3315, 1089, 1048, 1503, 1566, 2257, 1044, 2535, 1043, 1006, 3865, 21594, 1005, 1048, 2364, 3074, 15310, 1043, 1687, 1846, 5473, 2475, 3952, 1072, 5333, 20, 1138, 1048, 1325, 1058, 3488, 2940, 1096, 1044, 2671, 1048, 1160, 1225, 1044, 15851, 1009, 1261, 1094, 2869, 28440, 1005, 18675, 1043, 1132, 7328, 30765, 1043, 1006, 7116, 20, 2858, 2671, 1068, 10461, 1006, 13976, 1187, 5824, 1104, 3063, 1273, 1187, 1305, 19, 1363, 2339, 1187, 1305, 5786, 17054, 1187, 11872, 8579, 16205, 1989, 2671, 1225, 1048, 1261, 1493, 9797, 20, 1084, 1325, 1058, 1169, 2178, 1077, 1048, 1026, 7778, 1009, 8084, 1009, 1764, 2434, 2177, 1026, 2017, 6721, 1060, 21009, 1044, 7778, 1048, 1225, 1094, 1834, 1159, 9495, 12583, 1006, 11855, 1049, 8241, 9493, 3074, 1493, 22591, 1043, 1989, 6490, 20011, 1309, 1213, 1592, 1557, 13122, 1114, 20851, 2094, 1114, 23111, 1114, 1957, 7440, 2113, 1049, 4241, 21594, 1049, 1561, 1704, 8796, 6701, 1322, 1026, 2671, 10340, 4115, 1870, 1309, 1026, 2671, 12936, 1318, 1195, 3822, 28999, 1054, 2869, 1726, 1600, 10266, 12568, 1533, 3969, 1048, 28999, 1005, 3579, 1100, 22264, 14013, 1159, 1006, 12936, 3904, 1060, 20216, 1837, 1094, 12106, 26564, 2605, 1992, 1687, 2155, 5392, 2170, 1043, 2693, 1006, 31410, 1687, 27574, 1079, 1184, 1009, 1083, 9557, 1009, 24252, 1009, 7450, 12568, 4908, 2268, 1592, 1043, 3530, 11442, 9107, 1049, 12694, 1264, 1058, 16512, 1159, 1026, 2671, 1048, 2444, 27574, 1079, 7450, 12568, 2271, 1006, 17182, 5051, 20, 1138, 1048, 1762, 13618, 1724, 1079, 3592, 2263, 3465, 1394, 37, 5344, 6947, 1049, 2568, 1009, 2263, 3465, 1112, 1096, 1006, 1184, 4856, 2672, 23126, 1040, 1791, 8040, 1048, 6510, 1178, 5365, 3983, 1505, 1048, 5756, 2122, 5223, 1009, 14488, 1112, 37, 11735, 16037, 1114, 21009, 3230, 4319, 1044, 7245, 6191, 2271, 1026, 9032, 1072, 17328, 1060, 2263, 3465, 1112, 1009, 10756, 2669, 8128, 1049, 4153, 1655, 1363, 1007, 21594, 1054, 27114, 1549, 13916, 1551, 10756, 2669, 7514, 1094, 5500, 8141, 1048, 7389, 6705, 1493, 1006, 21009, 1048, 1195, 1026, 17211, 26456, 1655, 2917, 75, 15033, 1048 ]

[ 22026, 1238, 1358, 1070, 1400, 9011, 1253, 3286, 1040, 1098, 16014, 1014, 13666, 2604, 21569, 15805, 1409, 1172, 1020, 7929, 31458, 2020, 1408, 1253, 1916, 2045, 1006, 1053, 1409, 9023, 2620, 1014, 1504, 2604, 1746, 95, 2604, 30343, 1660, 1006, 1661, 3951, 1409, 1006, 3944, 1673, 1105, 2020, 1932, 75, 4788, 15776, 1014, 8445, 1018, 9539, 2186, 12658, 4825, 1447, 2401, 1409, 2186, 22197, 1423, 3944, 1105, 2409, 3274, 1059, 11036, 9936, 4676, 6916, 1009, 9579, 33, 1238, 1358, 2448, 33, 8852, 1673, 1678, 21818, 2703, 1678, 1502, 82, 9261, 4441, 4688, 1058, 1815, 1040, 1026, 20238, 1009, 7136, 2246, 25049, 1046, 1043, 1094, 15474, 6801, 1038, 12920, 16235, 1124, 8340, 8152, 30770, 19991, 1054, 1048, 1006, 3374, 1058, 1644, 88, 12029, 4766, 1435, 1009, 24849, 1010, 3112, 1102, 1114, 11309, 1060, 8150, 1505, 1235, 6079, 1026, 10311, 1298, 5172, 1371, 23838, 85, 1206, 3421, 1343, 5615, 1060, 5338, 1060, 4173, 1479, 24991, 1592, 1068, 1235, 7445, 7407, 6126, 1132, 1048, 6910, 1040, 1456, 9198, 1009, 3967, 1038, 1122, 1041, 3858, 11892, 1046, 10515, 73, 1146, 1932, 1005, 11655, 1648, 1322, 1026, 2011, 22558, 1297, 85, 1271, 10873, 2649, 7237, 1049, 29799, 11063, 6508, 1046, 1901, 1076, 4650, 17628, 4392, 10515, 1154, 10825, 8340, 1009, 5655, 1009, 1456, 6175, 11013, 1005, 1620, 24674, 20487, 1114, 17994, 20566, 1009, 1094, 3374, 1315, 4405, 3486, 20, 4501, 6242, 1132, 1048, 1058, 18909, 3056, 19537, 19306, 1005, 1160, 28878, 13611, 14283, 3048, 5674, 1046, 7707, 31776, 1065, 25286, 6916, 1009, 17086, 6035, 17386, 1479, 8977, 1049, 19104, 1009, 1048, 1668, 2859, 1058, 17005, 27019, 3449, 2574, 22591, 1054, 5593, 9496, 1206, 23483, 10724, 20255, 3607, 1309, 1224, 14025, 18, 4661, 1009, 6978, 1043, 4306, 14236, 1005, 23339, 11707, 1765, 3988, 1054, 28870, 1439, 1006, 6216, 1054, 1634, 1165, 1394, 1322, 1026, 6502, 1009, 20077, 2275, 7630, 1160, 3241, 4224, 2647, 30137, 9765, 1006, 4751, 31410, 30334, 18, 2739, 6236, 1663, 1049, 3266, 23559, 10833, 1068, 1094, 9976, 1060, 3374, 1704, 3957, 1009, 6638, 15333, 1068, 5509, 1229, 5912, 9954, 1009, 4601, 1005, 7528, 1009, 1494, 1997, 1400, 5674, 1166, 1072, 11490, 3936, 29411, 1009, 16760, 6164, 1060, 8240, 3883, 9867, 1009, 15630, 30016, 1043, 21349, 1160, 5103, 1009, 1094, 1751, 1187, 11409, 7887, 1166, 1118, 6916, 1009, 8429, 1377, 1063, 18394, 1195, 1847, 4661, 2309, 13102, 1054, 1184, 1009, 1094, 28764, 2653, 1646, 1846, 1060, 3248, 1049, 6971, 20, 30395, 3469, 3634, 1261, 1371, 4051, 26448, 33, 1751, 1060, 6855, 1005, 28657, 1009, 17628, 4392, 1005, 1060, 5386, 17712, 4392, 1620, 1058, 7017, 1114, 8894, 1009, 1734, 3948, 1060, 15899, 1603, 2220, 2658, 6071, 1118, 2355, 5823, 12543, 1146, 1024, 1005, 2283, 5892, 5655, 1048, 1057, 175, 1925, 26098, 1005, 9781, 2094, 3057, 6204, 1096, 4230, 1261, 30162, 1005, 4848, 6716, 10188, 1043, 1493, 1184, 25828, 1100, 1365, 1132, 9069, 11889, 1478, 21527, 1005, 1006, 3733, 8858, 1479, 1054, 14617, 31388, 1224, 3300, 1014, 2669, 13914, 6462, 1162, 4405, 3590, 1171, 7368, 1006, 5574, 1006, 3374, 1054, 1569, 14766, 2460, 1273, 3553, 11744, 1132, 15825, 1005, 1132, 10325, 17458, 5430, 1026, 30472, 2578, 15583, 1005, 1124, 14541, 8124, 10095, 79, 7198, 6916, 1009, 9579, 4538, 3205, 1043, 9632, 5860, 1411, 1132, 3974, 1049, 1663, 1673, 2038, 3617, 7906, 1393, 1026, 9594, 1009, 1456, 26007, 1005, 1235, 3266, 10864, 3292, 1851, 9916, 3552, 3179, 25347, 1262, 1627, 1006, 7401, 1060, 29918, 2598, 5692, 1169, 2014, 1339, 8357, 33, 1213, 9735, 13029, 3647, 1006, 14198, 1049, 3182, 30412, 1571, 1006, 2594, 7052, 1505, 1616, 9027, 1511, 1064, 1034, 21830, 1206, 9638, 1589, 1006, 14025, 10678, 1196, 1009, 10256, 11654, 1803, 21592, 1634, 1165, 8416, 1322, 3592, 10034, 9673, 1009, 7737, 1124, 6207, 1016, 1060, 3374, 20, 1119, 1418, 1026, 3479, 1009, 2373, 40, 6652, 626, 1213, 25094, 7632, 1009, 6026, 2101, 1009, 2591, 76, 1418, 1479, 1026, 3031, 1221, 12926, 2464, 1159, 1373, 162, 12214, 1009, 1224, 3560, 1927, 11385, 3017, 5857, 4504, 1930, 1043, 17559, 7103, 1324, 1026, 21196, 16557, 7039, 1615, 1005, 17197, 1060, 3374, 5886, 14077, 15121, 17386, 6083, 1009, 1235, 22284, 2464, 1356, 1048, 1058, 1009, 1815, 18, 9083, 1026, 1057, 19979, 1167, 1041, 1303, 1009, 1044, 2859, 1566, 2218, 1599, 20610, 16513, 3795, 1322, 1006, 8374, 14939, 3960, 27881, 1311, 2911, 1223, 13292, 16056, 1009, 1494, 13818, 1009, 1044, 5150, 1100, 1502, 1166, 1054, 10954, 1009, 21455, 1043, 2539, 12059, 25272, 1166, 1005, 2350, 3532, 1887, 1005, 1251, 16325, 2602, 17628, 1408, 1554, 2013, 18, 21130, 2464, 18579, 1006, 1944, 3271, 5436, 1093, 1091, 1060, 3069, 3635, 1349, 1026, 2566, 3312, 24625, 1322, 1898, 14, 0, 15, 1026, 1062, 1388, 1067, 1575, 1714, 65, 23, 7113, 2373, 40, 6652, 4324, 1048, 1160, 4646, 79, 1054, 27376, 1159, 3768, 1153, 1043, 1132, 9734, 1309, 28248, 1054, 23848, 1048, 1058, 10952, 1040, 1054, 1807, 2285, 1043, 1132, 3145, 7002, 1009, 6026, 2101, 1009, 2591, 76, 1418, 20, 1138, 1062, 1388, 1096, 3330, 1054, 1058, 2517, 6837, 1005, 1006, 24378, 1160, 1096, 1657, 1006, 1049, 26420, 1309, 1318, 1006, 1009, 1044, 20383, 1009, 1094, 5438, 5823, 1009, 1094, 16401, 13555, 1005, 8606, 4509, 5216, 1008, 1803, 1063, 5951, 40, 3377, 2202, 1026, 2373, 1162, 3438, 626, 5409, 4900, 1069, 1994, 6799, 2220, 1044, 4113, 1005, 1094, 5438, 5823, 9065, 1075, 6058, 1634, 1105, 1203, 3240, 5029, 8287, 6932, 1005, 4981, 15958, 1318, 1006, 3486, 6216, 1049, 7326, 5631, 1371, 1159, 7401, 5409, 4900, 1629, 32, 5640, 18459, 17637, 1038, 1480, 1050, 1412, 1968, 1727, 5, 8074, 3789, 1402, 1118, 26407, 1244, 1774, 1105, 4837, 5, 1408, 83, 1166, 2691, 6000, 29029, 3762, 1093, 16071, 8303, 1070, 3247, 1402, 1373, 1179, 1031, 1719, 9516, 1025, 8472, 4550, 1229, 5, 11300, 1075, 10172, 1132, 4859, 1005, 1132, 30194, 1064, 2147, 17740, 52, 1040, 16613, 7768, 3048, 1050, 20282, 7, 1308, 14, 0, 1308, 5182, 1007, 1026, 1557, 1005, 1054, 11423, 1057, 1491, 9010, 22963, 6613, 1664, 1315, 21276, 1028, 2746, 1315, 21276, 5, 1010, 1048, 2643, 4005, 1693, 13276, 29384, 8101, 7342, 23706, 2154, 5, 1397, 3386, 1371, 5856, 17726, 3759, 11534, 16834, 1998, 1020, 1048, 1596, 11705, 1998, 1020, 25860, 4509, 5216, 29161, 6906, 1799, 16988, 1799, 5900, 16075, 5762, 17386, 1009, 1044, 6971, 3842, 1599, 2464, 1068, 7304, 16721, 1060, 12640, 1009, 1224, 17994, 20739, 71, 1673, 19195, 6251, 1435, 6828, 5376, 1054, 9800, 1566, 5348, 1122, 3607, 1717, 4737, 1043, 1006, 17457, 1009, 1456, 2479, 1229, 10418, 1009, 3938, 23756, 1802, 6751, 1026, 1831, 5802, 1049, 11881, 1009, 1224, 29918, 5615, 1049, 10474, 1030, 10733, 1049, 4577, 5674, 1069, 1072, 22284, 5510, 5193, 1006, 14052, 1048, 1026, 5654, 13635, 2341, 6668, 1009, 7055, 10678, 12919, 1359, 1092, 1022, 19776, 3316, 6216, 9897, 1356, 19072, 1365, 1044, 3838, 3468, 1031, 1876, 26176, 1005, 1006, 1991, 1346, 1009, 5255, 8416, 1060, 1860, 1423, 1034, 1005, 1413, 6716, 1043, 1026, 1098, 1093, 4039, 1009, 1094, 16077, 11637, 1896, 16926, 1006, 4214, 1090, 5361, 5594, 1047, 21406, 1048, 22539, 1006, 8300, 6916, 1009, 8429, 1377, 18809, 1009, 5844, 4756, 1058, 9515, 1054, 1235, 2658, 20, 11752, 1058, 2540, 13365, 6950, 15582, 1009, 4545, 1187, 15825, 26842, 1998, 1058, 1298, 28671, 21601, 1009, 1494, 13818, 1060, 8324, 17202, 32, 2266, 1322, 9888, 5886, 5454, 22148, 1005, 22091, 1054, 2191, 1006, 1094, 1661, 6245, 1009, 4816, 29955, 1790, 1347, 1005, 11892, 9490, 17706, 1005, 1033, 175, 26133, 6329, 1580, 1009, 14267, 1049, 1908, 8447, 15, 18405, 1006, 1752, 5628, 1060, 3560, 1049, 6023, 10311, 18411, 7663, 7528, 1009, 1494, 1997, 1400, 4250, 2528, 1213, 2729, 1009, 3179, 3251, 26245, 1054, 3056, 8794, 2232, 1019, 1227, 1312, 1048, 6056, 1270, 1040, 10757, 1005, 5492, 10441, 1400, 5971, 1126, 6776, 3240, 1026, 20238, 1159, 7239, 1009, 1634, 1020, 10707, 156, 1629, 5360, 1539, 9144, 7731, 1493, 19383, 1072, 8368, 1060, 3560, 1009, 22643, 1511, 5608, 1393, 1318, 1663, 1371, 10311, 21192, 1846, 1009, 2088, 17521, 1009, 15095, 10126, 12203, 6916, 1009, 9579, 5838, 4327, 1006, 1235, 5975, 1349, 5734, 1017, 1199, 14267, 1060, 1641, 1005, 1049, 1908, 1068, 23483, 2693, 1005, 2073, 5231, 1006, 1235, 22547, 6771, 1048, 2979, 1009, 31209, 11785, 4323, 7813, 14636, 9496, 3732, 1005, 17973, 17105, 4507, 1009, 5987, 1009, 24621, 6958, 92, 4595, 14624, 1166, 1005, 4730, 1402, 1213, 30398, 1571, 23533, 15, 10952, 16823, 3552, 1429, 1164, 2847, 28079, 5289, 1005, 12408, 2024, 5780, 1009, 4575, 1114, 3902, 1015, 169, 76, 13214, 1009, 7970, 1704, 1494, 1671, 1048, 8666, 1006, 7528, 1479, 11536, 1060, 25123, 88, 6720, 19759, 626, 1009, 3769, 11593, 30398, 1155, 3763, 1577, 1479, 1225, 3164, 1009, 22653, 1005, 1657, 5631, 1026, 1720, 1009, 6916, 1009, 9579, 1365, 1006, 2373, 84, 5992, 6697, 626, 1009, 1315, 1095, 1728, 28244, 1006, 2237, 26833, 6133, 1026, 2776, 2526, 2373, 14878, 1518, 4324, 1072, 7436, 1009, 25451, 1009, 3186, 1009, 3383, 1009, 7976, 2525, 1173, 1780, 1077, 1006, 14825, 1009, 18116, 1060, 4415, 1415, 9709, 8107, 1048, 4214, 1224, 6559, 5500, 1921, 20, 14176, 4415, 23724, 1026, 2429, 5052, 17397, 1614, 21860, 1096, 18227, 3599, 1037, 3857, 1009, 1064, 2961, 3104, 4324, 7329, 2218, 2094, 1054, 14267, 1060, 8250, 1005, 1049, 15708, 18, 1288, 1026, 10840, 1566, 31167, 1009, 4913, 2040, 3650, 5600, 3865, 16131, 1054, 8794, 1155, 3763, 5817, 1009, 7976, 3006, 2605, 1026, 26420, 1620, 1048, 8690, 1233, 2373, 7986, 1357, 3374, 626, 1187, 2776, 1095, 1573, 1680, 4505, 2585, 3553, 1893, 2653, 1734, 8004, 1060, 15505, 10543, 23069, 5473, 29515, 29647, 6803, 1502, 3273, 4666, 1831, 6950, 14988, 11059, 2612, 1060, 3560, 1680, 1977, 1140, 1049, 6023, 1005, 1271, 16377, 2789, 1121, 1009, 1224, 3583, 1068, 1006, 3568, 7263, 20, 2882, 3982, 1357, 25619, 5897, 22340, 7989, 1124, 2880, 1049, 21033, 1049, 1561, 7436, 1009, 2128, 1009, 3370, 1009, 26113, 1048, 28857, 1040, 1006, 2360, 14025, 13639, 32, 2373, 8361, 11266, 1213, 14364, 10311, 1049, 11348, 39, 5299, 3857, 1009, 1064, 2961, 3104, 624, 20, 4490, 8151, 1096, 1094, 1880, 2485, 1356, 2444, 1068, 4537, 1026, 26358, 30058, 1006, 2653, 1064, 2961, 3104, 19270, 1166, 1048, 4548, 1072, 4862, 26666, 626, 7821, 20, 1587, 1266, 1363, 1168, 1302, 17086, 3015, 13818, 3646, 1063, 5951, 16822, 27956, 9683, 20911, 1511, 1026, 6971, 1566, 8983, 1072, 2293, 1009, 6850, 1680, 18401, 1069, 1114, 4884, 1060, 13664, 1005, 1043, 26174, 26678, 1357, 7799, 3267, 1005, 22640, 2247, 1009, 19765, 1009, 9888, 19314, 4363, 9628, 1006, 5020, 1009, 1494, 13818, 4910, 1126, 1054, 1472, 1009, 6233, 1371, 1233, 5286, 1009, 17973, 15674, 4412, 20, 1482, 3310, 2443, 3056, 14267, 1429, 1047, 4753, 1005, 9218, 5430, 1048, 5036, 1006, 8716, 1060, 7299, 6164, 1009, 7494, 4525, 28743, 83, 1371, 1322, 1026, 16291, 11135, 1362, 1009, 6916, 1009, 17086, 6752, 2156, 18973, 2800, 3018, 1063, 19234, 1009, 3295, 1009, 3049, 5631, 1054, 1235, 7346, 32, 22643, 5485, 4868, 1009, 25635, 1054, 15818, 1273, 4798, 1060, 6610, 1009, 16760, 17325, 1049, 4813, 1060, 17428, 26420, 25409, 3382, 10456, 3858, 2566, 1009, 1030, 4901, 17071, 1273, 1365, 1124, 2688, 14232, 4380, 1271, 24543, 1072, 1561, 4324, 8858, 1054, 3811, 30586, 18, 1054, 7719, 10948, 2729, 1060, 3832, 1009, 4488, 1012, 1126, 6916, 1009, 17086, 1846, 1009, 22406, 1006, 4415, 1009, 23961, 3944, 5430, 1511, 1225, 1065, 1127, 1126, 1043, 10225, 26857, 17369, 1005, 675, 4392, 30765, 19452, 8348, 18, 1054, 4918, 5847, 1463, 14541, 13677, 22939, 6657, 2155, 6189, 8416, 18, 1159, 1224, 1004, 1031, 1055, 3437, 14836, 1072, 23559, 4458, 1005, 3797, 1135, 1060, 11423, 7820, 10686, 1009, 9081, 2542, 21424, 1048, 2569, 19392, 1054, 5966, 1043, 9502, 2253, 31207, 1043, 9591, 1005, 20461, 3843, 5845, 3530, 2864, 1318, 20452, 25409, 1400, 1048, 1770, 1412, 1006, 4022, 1060, 7799, 32, 3270, 1146, 1665, 1005, 1138, 2376, 27270, 4490, 11423, 1060, 1795, 27443, 5766, 1236, 1371, 1054, 1063, 20441, 1145, 16770, 175, 5386, 20, 1138, 1852, 1187, 1646, 15787, 4214, 1006, 4281, 7903, 1049, 1720, 1005, 1060, 8300, 1049, 10311, 1114, 19658, 1377, 3423, 1060, 10367, 1479, 1005, 2481, 7482, 1479, 1009, 1663, 18718, 1569, 8582, 2328, 1009, 7896, 3652, 3607, 15625, 1213, 11881, 30380, 1069, 1049, 2717, 1672, 1026, 10311, 3449, 16617, 1870, 1043, 18923, 1411, 1664, 1132, 15533, 1133, 2106, 1048, 4343, 14828, 21131, 8974, 1096, 2464, 1006, 5623, 12151, 27930, 20452, 4680, 7673, 1049, 10311, 1043, 24655, 1060, 10605, 10871, 1972, 9149, 1060, 4087, 6907, 1009, 1224, 7401, 10741, 3951, 2528, 6916, 1009, 17086, 4108, 1009, 22926, 19067, 1006, 12640, 1009, 1224, 3513, 14112, 2979, 1187, 15093, 1054, 12905, 1967, 4673, 15, 1114, 5411 ]

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

[ 22026, 1238, 1358, 1070, 1400, 9011, 1253, 3286, 1040, 1098, 16014, 1014, 13666, 2604, 21569, 15805, 1409, 1172, 1020, 7929, 31458, 2020, 1408, 1253, 1916, 2045, 1006, 1053, 1409, 9023, 2620, 1014, 1504, 2604, 1746, 95, 2604, 30343, 1660, 1006, 1661, 3951, 1409, 1006, 3944, 1673, 1105, 2020, 1932, 75, 4788, 15776, 1014, 8445, 1018, 9539, 2186, 12658, 4825, 1447, 2401, 1409, 2186, 22197, 1423, 3944, 1105, 2409, 3274, 1059, 11036, 9936, 4676, 6916, 1009, 9579, 33, 1238, 1358, 2448, 33, 8852, 1673, 1678, 21818, 2703, 1678, 1502, 82, 9261, 4441, 4688, 1058, 1815, 1040, 1026, 20238, 1009, 7136, 2246, 25049, 1046, 1043, 1094, 15474, 6801, 1038, 12920, 16235, 1124, 8340, 8152, 30770, 19991, 1054, 1048, 1006, 3374, 1058, 1644, 88, 12029, 4766, 1435, 1009, 24849, 1010, 3112, 1102, 1114, 11309, 1060, 8150, 1505, 1235, 6079, 1026, 10311, 1298, 5172, 1371, 23838, 85, 1206, 3421, 1343, 5615, 1060, 5338, 1060, 4173, 1479, 24991, 1592, 1068, 1235, 7445, 7407, 6126, 1132, 1048, 6910, 1040, 1456, 9198, 1009, 3967, 1038, 1122, 1041, 3858, 11892, 1046, 10515, 73, 1146, 1932, 1005, 11655, 1648, 1322, 1026, 2011, 22558, 1297, 85, 1271, 10873, 2649, 7237, 1049, 29799, 11063, 6508, 1046, 1901, 1076, 4650, 17628, 4392, 10515, 1154, 10825, 8340, 1009, 5655, 1009, 1456, 6175, 11013, 1005, 1620, 24674, 20487, 1114, 17994, 20566, 1009, 1094, 3374, 1315, 4405, 3486, 20, 4501, 6242, 1132, 1048, 1058, 18909, 3056, 19537, 19306, 1005, 1160, 28878, 13611, 14283, 3048, 5674, 1046, 7707, 31776, 1065, 25286, 6916, 1009, 17086, 6035, 17386, 1479, 8977, 1049, 19104, 1009, 1048, 1668, 2859, 1058, 17005, 27019, 3449, 2574, 22591, 1054, 5593, 9496, 1206, 23483, 10724, 20255, 3607, 1309, 1224, 14025, 18, 4661, 1009, 6978, 1043, 4306, 14236, 1005, 23339, 11707, 1765, 3988, 1054, 28870, 1439, 1006, 6216, 1054, 1634, 1165, 1394, 1322, 1026, 6502, 1009, 20077, 2275, 7630, 1160, 3241, 4224, 2647, 30137, 9765, 1006, 4751, 31410, 30334, 18, 2739, 6236, 1663, 1049, 3266, 23559, 10833, 1068, 1094, 9976, 1060, 3374, 1704, 3957, 1009, 6638, 15333, 1068, 5509, 1229, 5912, 9954, 1009, 4601, 1005, 7528, 1009, 1494, 1997, 1400, 5674, 1166, 1072, 11490, 3936, 29411, 1009, 16760, 6164, 1060, 8240, 3883, 9867, 1009, 15630, 30016, 1043, 21349, 1160, 5103, 1009, 1094, 1751, 1187, 11409, 7887, 1166, 1118, 6916, 1009, 8429, 1377, 1063, 18394, 1195, 1847, 4661, 2309, 13102, 1054, 1184, 1009, 1094, 28764, 2653, 1646, 1846, 1060, 3248, 1049, 6971, 20, 30395, 3469, 3634, 1261, 1371, 4051, 26448, 33, 1751, 1060, 6855, 1005, 28657, 1009, 17628, 4392, 1005, 1060, 5386, 17712, 4392, 1620, 1058, 7017, 1114, 8894, 1009, 1734, 3948, 1060, 15899, 1603, 2220, 2658, 6071, 1118, 2355, 5823, 12543, 1146, 1024, 1005, 2283, 5892, 5655, 1048, 1057, 175, 1925, 26098, 1005, 9781, 2094, 3057, 6204, 1096, 4230, 1261, 30162, 1005, 4848, 6716, 10188, 1043, 1493, 1184, 25828, 1100, 1365, 1132, 9069, 11889, 1478, 21527, 1005, 1006, 3733, 8858, 1479, 1054, 14617, 31388, 1224, 3300, 1014, 2669, 13914, 6462, 1162, 4405, 3590, 1171, 7368, 1006, 5574, 1006, 3374, 1054, 1569, 14766, 2460, 1273, 3553, 11744, 1132, 15825, 1005, 1132, 10325, 17458, 5430, 1026, 30472, 2578, 15583, 1005, 1124, 14541, 8124, 10095, 79, 7198, 6916, 1009, 9579, 4538, 3205, 1043, 9632, 5860, 1411, 1132, 3974, 1049, 1663, 1673, 2038, 3617, 7906, 1393, 1026, 9594, 1009, 1456, 26007, 1005, 1235, 3266, 10864, 3292, 1851, 9916, 3552, 3179, 25347, 1262, 1627, 1006, 7401, 1060, 29918, 2598, 5692, 1169, 2014, 1339, 8357, 33, 1213, 9735, 13029, 3647, 1006, 14198, 1049, 3182, 30412, 1571, 1006, 2594, 7052, 1505, 1616, 9027, 1511, 1064, 1034, 21830, 1206, 9638, 1589, 1006, 14025, 10678, 1196, 1009, 10256, 11654, 1803, 21592, 1634, 1165, 8416, 1322, 3592, 10034, 9673, 1009, 7737, 1124, 6207, 1016, 1060, 3374, 20, 1119, 1418, 1026, 3479, 1009, 2373, 40, 6652, 626, 1213, 25094, 7632, 1009, 6026, 2101, 1009, 2591, 76, 1418, 1479, 1026, 3031, 1221, 12926, 2464, 1159, 1373, 162, 12214, 1009, 1224, 3560, 1927, 11385, 3017, 5857, 4504, 1930, 1043, 17559, 7103, 1324, 1026, 21196, 16557, 7039, 1615, 1005, 17197, 1060, 3374, 5886, 14077, 15121, 17386, 6083, 1009, 1235, 22284, 2464, 1356, 1048, 1058, 1009, 1815, 18, 9083, 1026, 1057, 19979, 1167, 1041, 1303, 1009, 1044, 2859, 1566, 2218, 1599, 20610, 16513, 3795, 1322, 1006, 8374, 14939, 3960, 27881, 1311, 2911, 1223, 13292, 16056, 1009, 1494, 13818, 1009, 1044, 5150, 1100, 1502, 1166, 1054, 10954, 1009, 21455, 1043, 2539, 12059, 25272, 1166, 1005, 2350, 3532, 1887, 1005, 1251, 16325, 2602, 17628, 1408, 1554, 2013, 18, 21130, 2464, 18579, 1006, 1944, 3271, 5436, 1093, 1091, 1060, 3069, 3635, 1349, 1026, 2566, 3312, 24625, 1322, 1898, 14, 0, 15, 1026, 1062, 1388, 1067, 1575, 1714, 65, 23, 7113, 2373, 40, 6652, 4324, 1048, 1160, 4646, 79, 1054, 27376, 1159, 3768, 1153, 1043, 1132, 9734, 1309, 28248, 1054, 23848, 1048, 1058, 10952, 1040, 1054, 1807, 2285, 1043, 1132, 3145, 7002, 1009, 6026, 2101, 1009, 2591, 76, 1418, 20, 1138, 1062, 1388, 1096, 3330, 1054, 1058, 2517, 6837, 1005, 1006, 24378, 1160, 1096, 1657, 1006, 1049, 26420, 1309, 1318, 1006, 1009, 1044, 20383, 1009, 1094, 5438, 5823, 1009, 1094, 16401, 13555, 1005, 8606, 4509, 5216, 1008, 1803, 1063, 5951, 40, 3377, 2202, 1026, 2373, 1162, 3438, 626, 5409, 4900, 1069, 1994, 6799, 2220, 1044, 4113, 1005, 1094, 5438, 5823, 9065, 1075, 6058, 1634, 1105, 1203, 3240, 5029, 8287, 6932, 1005, 4981, 15958, 1318, 1006, 3486, 6216, 1049, 7326, 5631, 1371, 1159, 7401, 5409, 4900, 1629, 32, 5640, 18459, 17637, 1038, 1480, 1050, 1412, 1968, 1727, 5, 8074, 3789, 1402, 1118, 26407, 1244, 1774, 1105, 4837, 5, 1408, 83, 1166, 2691, 6000, 29029, 3762, 1093, 16071, 8303, 1070, 3247, 1402, 1373, 1179, 1031, 1719, 9516, 1025, 8472, 4550, 1229, 5, 11300, 1075, 10172, 1132, 4859, 1005, 1132, 30194, 1064, 2147, 17740, 52, 1040, 16613, 7768, 3048, 1050, 20282, 7, 1308, 14, 0, 1308, 5182, 1007, 1026, 1557, 1005, 1054, 11423, 1057, 1491, 9010, 22963, 6613, 1664, 1315, 21276, 1028, 2746, 1315, 21276, 5, 1010, 1048, 2643, 4005, 1693, 13276, 29384, 8101, 7342, 23706, 2154, 5, 1397, 3386, 1371, 5856, 17726, 3759, 11534, 16834, 1998, 1020, 1048, 1596, 11705, 1998, 1020, 25860, 4509, 5216, 29161, 6906, 1799, 16988, 1799, 5900, 16075, 5762, 17386, 1009, 1044, 6971, 3842, 1599, 2464, 1068, 7304, 16721, 1060, 12640, 1009, 1224, 17994, 20739, 71, 1673, 19195, 6251, 1435, 6828, 5376, 1054, 9800, 1566, 5348, 1122, 3607, 1717, 4737, 1043, 1006, 17457, 1009, 1456, 2479, 1229, 10418, 1009, 3938, 23756, 1802, 6751, 1026, 1831, 5802, 1049, 11881, 1009, 1224, 29918, 5615, 1049, 10474, 1030, 10733, 1049, 4577, 5674, 1069, 1072, 22284, 5510, 5193, 1006, 14052, 1048, 1026, 5654, 13635, 2341, 6668, 1009, 7055, 10678, 12919, 1359, 1092, 1022, 19776, 3316, 6216, 9897, 1356, 19072, 1365, 1044, 3838, 3468, 1031, 1876, 26176, 1005, 1006, 1991, 1346, 1009, 5255, 8416, 1060, 1860, 1423, 1034, 1005, 1413, 6716, 1043, 1026, 1098, 1093, 4039, 1009, 1094, 16077, 11637, 1896, 16926, 1006, 4214, 1090, 5361, 5594, 1047, 21406, 1048, 22539, 1006, 8300, 6916, 1009, 8429, 1377, 18809, 1009, 5844, 4756, 1058, 9515, 1054, 1235, 2658, 20, 11752, 1058, 2540, 13365, 6950, 15582, 1009, 4545, 1187, 15825, 26842, 1998, 1058, 1298, 28671, 21601, 1009, 1494, 13818, 1060, 8324, 17202, 32, 2266, 1322, 9888, 5886, 5454, 22148, 1005, 22091, 1054, 2191, 1006, 1094, 1661, 6245, 1009, 4816, 29955, 1790, 1347, 1005, 11892, 9490, 17706, 1005, 1033, 175, 26133, 6329, 1580, 1009, 14267, 1049, 1908, 8447, 15, 18405, 1006, 1752, 5628, 1060, 3560, 1049, 6023, 10311, 18411, 7663, 7528, 1009, 1494, 1997, 1400, 4250, 2528, 1213, 2729, 1009, 3179, 3251, 26245, 1054, 3056, 8794, 2232, 1019, 1227, 1312, 1048, 6056, 1270, 1040, 10757, 1005, 5492, 10441, 1400, 5971, 1126, 6776, 3240, 1026, 20238, 1159, 7239, 1009, 1634, 1020, 10707, 156, 1629, 5360, 1539, 9144, 7731, 1493, 19383, 1072, 8368, 1060, 3560, 1009, 22643, 1511, 5608, 1393, 1318, 1663, 1371, 10311, 21192, 1846, 1009, 2088, 17521, 1009, 15095, 10126, 12203, 6916, 1009, 9579, 5838, 4327, 1006, 1235, 5975, 1349, 5734, 1017, 1199, 14267, 1060, 1641, 1005, 1049, 1908, 1068, 23483, 2693, 1005, 2073, 5231, 1006, 1235, 22547, 6771, 1048, 2979, 1009, 31209, 11785, 4323, 7813, 14636, 9496, 3732, 1005, 17973, 17105, 4507, 1009, 5987, 1009, 24621, 6958, 92, 4595, 14624, 1166, 1005, 4730, 1402, 1213, 30398, 1571, 23533, 15, 10952, 16823, 3552, 1429, 1164, 2847, 28079, 5289, 1005, 12408, 2024, 5780, 1009, 4575, 1114, 3902, 1015, 169, 76, 13214, 1009, 7970, 1704, 1494, 1671, 1048, 8666, 1006, 7528, 1479, 11536, 1060, 25123, 88, 6720, 19759, 626, 1009, 3769, 11593, 30398, 1155, 3763, 1577, 1479, 1225, 3164, 1009, 22653, 1005, 1657, 5631, 1026, 1720, 1009, 6916, 1009, 9579, 1365, 1006, 2373, 84, 5992, 6697, 626, 1009, 1315, 1095, 1728, 28244, 1006, 2237, 26833, 6133, 1026, 2776, 2526, 2373, 14878, 1518, 4324, 1072, 7436, 1009, 25451, 1009, 3186, 1009, 3383, 1009, 7976, 2525, 1173, 1780, 1077, 1006, 14825, 1009, 18116, 1060, 4415, 1415, 9709, 8107, 1048, 4214, 1224, 6559, 5500, 1921, 20, 14176, 4415, 23724, 1026, 2429, 5052, 17397, 1614, 21860, 1096, 18227, 3599, 1037, 3857, 1009, 1064, 2961, 3104, 4324, 7329, 2218, 2094, 1054, 14267, 1060, 8250, 1005, 1049, 15708, 18, 1288, 1026, 10840, 1566, 31167, 1009, 4913, 2040, 3650, 5600, 3865, 16131, 1054, 8794, 1155, 3763, 5817, 1009, 7976, 3006, 2605, 1026, 26420, 1620, 1048, 8690, 1233, 2373, 7986, 1357, 3374, 626, 1187, 2776, 1095, 1573, 1680, 4505, 2585, 3553, 1893, 2653, 1734, 8004, 1060, 15505, 10543, 23069, 5473, 29515, 29647, 6803, 1502, 3273, 4666, 1831, 6950, 14988, 11059, 2612, 1060, 3560, 1680, 1977, 1140, 1049, 6023, 1005, 1271, 16377, 2789, 1121, 1009, 1224, 3583, 1068, 1006, 3568, 7263, 20, 2882, 3982, 1357, 25619, 5897, 22340, 7989, 1124, 2880, 1049, 21033, 1049, 1561, 7436, 1009, 2128, 1009, 3370, 1009, 26113, 1048, 28857, 1040, 1006, 2360, 14025, 13639, 32, 2373, 8361, 11266, 1213, 14364, 10311, 1049, 11348, 39, 5299, 3857, 1009, 1064, 2961, 3104, 624, 20, 4490, 8151, 1096, 1094, 1880, 2485, 1356, 2444, 1068, 4537, 1026, 26358, 30058, 1006, 2653, 1064, 2961, 3104, 19270, 1166, 1048, 4548, 1072, 4862, 26666, 626, 7821, 20, 1587, 1266, 1363, 1168, 1302, 17086, 3015, 13818, 3646, 1063, 5951, 16822, 27956, 9683, 20911, 1511, 1026, 6971, 1566, 8983, 1072, 2293, 1009, 6850, 1680, 18401, 1069, 1114, 4884, 1060, 13664, 1005, 1043, 26174, 26678, 1357, 7799, 3267, 1005, 22640, 2247, 1009, 19765, 1009, 9888, 19314, 4363, 9628, 1006, 5020, 1009, 1494, 13818, 4910, 1126, 1054, 1472, 1009, 6233, 1371, 1233, 5286, 1009, 17973, 15674, 4412, 20, 1482, 3310, 2443, 3056, 14267, 1429, 1047, 4753, 1005, 9218, 5430, 1048, 5036, 1006, 8716, 1060, 7299, 6164, 1009, 7494, 4525, 28743, 83, 1371, 1322, 1026, 16291, 11135, 1362, 1009, 6916, 1009, 17086, 6752, 2156, 18973, 2800, 3018, 1063, 19234, 1009, 3295, 1009, 3049, 5631, 1054, 1235, 7346, 32, 22643, 5485, 4868, 1009, 25635, 1054, 15818, 1273, 4798, 1060, 6610, 1009, 16760, 17325, 1049, 4813, 1060, 17428, 26420, 25409, 3382, 10456, 3858, 2566, 1009, 1030, 4901, 17071, 1273, 1365, 1124, 2688, 14232, 4380, 1271, 24543, 1072, 1561, 4324, 8858, 1054, 3811, 30586, 18, 1054, 7719, 10948, 2729, 1060, 3832, 1009, 4488, 1012, 1126, 6916, 1009, 17086, 1846, 1009, 22406, 1006, 4415, 1009, 23961, 3944, 5430, 1511, 1225, 1065, 1127, 1126, 1043, 10225, 26857, 17369, 1005, 675, 4392, 30765, 19452, 8348, 18, 1054, 4918, 5847, 1463, 14541, 13677, 22939, 6657, 2155, 6189, 8416, 18, 1159, 1224, 1004, 1031, 1055, 3437, 14836, 1072, 23559, 4458, 1005, 3797, 1135, 1060, 11423, 7820, 10686, 1009, 9081, 2542, 21424, 1048, 2569, 19392, 1054, 5966, 1043, 9502, 2253, 31207, 1043, 9591, 1005, 20461, 3843, 5845, 3530, 2864, 1318, 20452, 25409, 1400, 1048, 1770, 1412, 1006, 4022, 1060, 7799, 32, 3270, 1146, 1665, 1005, 1138, 2376, 27270, 4490, 11423, 1060, 1795, 27443, 5766, 1236, 1371, 1054, 1063, 20441, 1145, 16770, 175, 5386, 20, 1138, 1852, 1187, 1646, 15787, 4214, 1006, 4281, 7903, 1049, 1720, 1005, 1060, 8300, 1049, 10311, 1114, 19658, 1377, 3423, 1060, 10367, 1479, 1005, 2481, 7482, 1479, 1009, 1663, 18718, 1569, 8582, 2328, 1009, 7896, 3652, 3607, 15625, 1213, 11881, 30380, 1069, 1049, 2717, 1672, 1026, 10311, 3449, 16617, 1870, 1043, 18923, 1411, 1664, 1132, 15533, 1133, 2106, 1048, 4343, 14828, 21131, 8974, 1096, 2464, 1006, 5623, 12151, 27930, 20452, 4680, 7673, 1049, 10311, 1043, 24655, 1060, 10605, 10871, 1972, 9149, 1060, 4087, 6907, 1009, 1224, 7401, 10741, 3951, 2528, 6916, 1009, 17086, 4108, 1009, 22926, 19067, 1006, 12640, 1009, 1224, 3513, 14112, 2979, 1187, 15093, 1054, 12905, 1967, 4673, 15, 1114, 5411 ]

[ 13728, 15986, 1006, 8928, 4908, 8184, 1009, 1009, 16677, 96, 6995, 8184, 1060, 1073, 1466, 1627, 5090, 1006, 3757, 1187, 12928, 1554, 1063, 2323, 1049, 8184, 1009, 7438, 1229, 1072, 2738, 1060, 3757, 16812, 1068, 1132, 12767, 1229, 1006, 2423, 1049, 1317, 1754, 1271, 18292, 1273, 1054, 1073, 1917, 1631, 1187, 3844, 1165, 2106, 4214, 1006, 3757, 1187, 16711, 162, 4239, 19848, 1636, 1508, 1620, 1048, 1322, 1006, 17735, 1049, 1317, 1754, 1271, 18292, 1273, 1026, 5549, 1009, 1062, 1393, 1022, 3342, 1005, 1062, 3912, 1074, 1233, 1106, 2469, 1009, 1633, 4703, 152, 1005, 1060, 13460, 1049, 22584, 12534, 1060, 5827, 31207, 1970, 5233, 1054, 9864, 1009, 7269, 10965, 1629, 6730, 1043, 22994, 6820, 1086, 25873, 1043, 1026, 3479, 16845, 1062, 7451, 1726, 1387, 3036, 1049, 1073, 2984, 5094, 8, 17441, 1114, 8565, 1009, 6015, 4763, 1049, 7247, 1054, 1734, 20522, 1006, 16283, 3584, 1516, 1557, 1009, 5018, 1041, 10934, 1084, 1202, 1124, 25890, 6032, 2457, 1043, 1006, 1556, 2489, 1049, 1215, 11398, 1005, 1026, 1178, 28875, 1049, 5317, 1533, 21160, 29715, 1072, 2868, 1049, 3867, 12475, 2922, 1006, 8356, 8396, 1159, 2829, 22025, 72, 1074, 1124, 8327, 2681, 1242, 1060, 3757, 11898, 1126, 1054, 6015, 4763, 1049, 2709, 7297, 1992, 1138, 1067, 3640, 6764, 45, 11365, 18, 1114, 10454, 1142, 2162, 5247, 1679, 5550, 1010, 1271, 1844, 1726, 1782, 9566, 1043, 27466, 1726, 14371, 1016, 2132, 2032, 1271, 18869, 1233, 8486, 9342, 1445, 1291, 1077, 1124, 5426, 14541, 1005, 1006, 3028, 2706, 20, 1, 2332, 9152, 1170, 11924, 1312, 32, 1128, 5763, 8259, 19708, 1128, 5763, 8259, 2599, 19708, 1128, 5763, 8259, 7251, 19708, 1128, 5763, 28, 2704, 2599, 19708, 1128, 5763, 28086, 2599, 19708, 1128, 5763, 22257, 2599, 19708, 1025, 73, 4273, 17859, 4662, 1025, 73, 4273, 17859, 1307, 5, 15054, 9287, 1018, 1982, 1520, 1312, 32, 20557, 1533, 7628, 2426, 11924, 24086, 4557, 11136, 7133, 1042, 24575, 1026, 20971, 8549, 29229, 9833, 2904, 7260, 1295, 1026, 2658, 2373, 1042, 3465, 1606, 18307, 3549, 19, 5953, 94, 5953, 94, 13322, 1139, 69, 16481, 95, 6426, 83, 9536, 20, 24652, 626, 1114, 2236, 1009, 2011, 1005, 3354, 4565, 5193, 22093, 2156, 2624, 1072, 2658, 1533, 6046, 4331, 6133, 22093, 2156, 2624, 1072, 14460, 8932, 1188, 11490, 20, 11232, 1114, 7102, 2373, 42, 10466, 626, 1068, 10012, 5792, 1533, 6046, 4331, 1096, 13933, 3590, 91, 5670, 1373, 3123, 1068, 7909, 1006, 7442, 1533, 2511, 8227, 1096, 3321, 5330, 11232, 1054, 1655, 5182, 1811, 1024, 67, 3482, 8143, 1026, 5804, 30679, 1068, 10327, 1043, 1026, 2868, 1005, 7705, 1054, 1655, 5182, 1811, 1024, 67, 25382, 2059, 1054, 1655, 8849, 12592, 67, 1068, 7909, 1006, 7442, 9346, 4253, 1009, 17065, 6133, 15652, 1048, 1299, 3135, 31454, 1026, 6687, 1986, 1006, 2962, 3803, 1603, 1160, 9959, 10851, 7705, 1054, 1655, 5182, 1811, 1024, 7442, 67, 6788, 1006, 8227, 1009, 17065, 2168, 1713, 4331, 1234, 3321, 2154, 28115, 1026, 1720, 1009, 3142, 1005, 1006, 9067, 1043, 3997, 1009, 15558, 1005, 7705, 1054, 1655, 8849, 12592, 6137, 67, 1533, 7442, 12007, 1043, 3189, 11492, 1006, 7442, 1234, 19583, 1043, 12788, 1006, 8227, 2168, 1713, 4331, 2177, 3321, 5330, 1084, 1026, 2788, 1060, 8549, 4151, 2440, 6393, 21677, 10181, 150, 1114, 2360, 8227, 1049, 5016, 8341, 3713, 1298, 13699, 1224, 2612, 8549, 4151, 2440, 6393, 21677, 3068, 3922, 1068, 2071, 3794, 3140, 1054, 16582, 25382, 2059, 1054, 1655, 2377, 9188, 1787, 67, 1005, 19199, 1434, 1026, 6687, 1059, 8849, 24575, 1006, 31914, 20557, 7985, 4214, 8789, 1114, 8494, 1009, 1742, 3022, 7152, 1655, 19881, 3334, 1049, 7807, 67, 1005, 7705, 1072, 14460, 1655, 4416, 9152, 1170, 1005, 5377, 3496, 1248, 67, 9390, 24408, 1006, 31914, 2170, 1054, 4702, 30203, 1026, 1957, 15493, 1017, 1009, 10598, 1060, 31914, 1704, 6724, 1073, 30801, 2159, 7091, 2500, 10020, 1006, 6520, 1049, 16192, 1060, 31914, 1005, 2962, 71, 8863, 1026, 6137, 1049, 20971, 6788, 1026, 1720, 1060, 31914, 6475, 1140, 1234, 17057, 1233, 2919, 1009, 14985, 4525, 1006, 31914, 1195, 3000, 3567, 1, 1766, 1184, 15651, 5926, 1367, 2027, 28664, 1324, 1009, 1063, 1006, 2079, 28664, 1324, 1009, 2079, 1006, 1063, 2804, 4452, 1049, 1184, 4885, 1213, 1184, 3910, 2804, 4452, 1049, 1184, 3910, 1213, 1184, 4885, 24288, 25784, 2978, 8060, 9139, 18731, 1797, 8131, 53, 3576, 3107, 3831, 2818, 1062, 3107, 4071, 1067, 4186, 16549, 3886, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 2534, 7777, 16296, 19922, 1058, 7949, 1184, 1009, 1158, 1646, 2271, 1048, 1006, 2531, 15397, 11694, 1044, 1187, 4181, 1023, 1334, 1009, 1015, 1038, 1007, 1009, 17609, 27455, 1271, 8398, 17346, 1728, 16584, 1026, 9869, 7495, 1226, 1096, 1094, 5231, 1005, 1044, 1187, 3794, 7041, 20551, 1072, 1784, 1060, 1015, 1038, 5304, 3423, 2668, 1006, 1030, 3457, 7495, 1226, 1225, 19992, 21917, 1006, 2706, 1049, 12115, 27455, 1006, 2089, 3905, 1005, 1006, 1734, 4267, 1009, 15635, 13825, 1040, 2598, 22956, 1044, 13070, 17089, 1024, 1213, 24568, 1797, 8131, 53, 1576, 2321, 5250, 1067, 4186, 16549, 21606, 19265, 6275, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 2534, 3663, 16296, 1605, 12115, 7495, 1226, 1096, 1094, 5231, 1005, 1044, 1187, 3794, 10065, 19225, 1072, 1784, 1060, 1015, 1038, 5304, 20584, 1096, 1048, 3004, 1006, 9330, 1060, 1015, 1038, 1007, 1160, 1058, 13780, 1305, 1006, 9330, 1049, 12115, 1033, 12423, 3316, 16399, 20750, 1068, 5711, 19257, 10420, 1068, 2237, 4373, 2154, 2072, 5970, 1072, 3184, 1060, 4573, 1533, 17089, 1024, 1213, 24568, 12107, 13481, 1069, 1797, 8131, 53, 1576, 2321, 5250, 1067, 4186, 16549, 1205, 3107, 3831, 6860, 1106, 2713, 7826, 6275, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 8682, 2084, 4990, 16296, 19922, 1058, 7949, 1184, 1009, 1158, 1646, 2271, 1048, 1006, 2531, 15397, 11694, 1044, 1187, 4181, 1023, 1334, 1009, 1015, 1038, 1007, 1009, 17609, 27455, 1271, 8398, 17346, 1728, 16584, 1026, 12115, 7495, 1226, 1096, 1094, 5231, 1005, 1094, 1271, 5426, 25352, 21314, 1026, 1784, 1060, 1015, 1038, 5304, 3423, 2668, 1006, 1030, 3457, 7495, 1226, 1225, 19992, 21917, 1006, 2706, 1049, 12115, 27455, 1006, 2089, 3905, 1005, 1006, 1734, 4267, 1009, 15635, 13825, 1040, 2598, 3226, 2608, 1797, 8131, 53, 1797, 46, 47, 6923, 27474, 1067, 4186, 16549, 21606, 19265, 2971, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 2534, 5861, 16296, 1605, 12115, 7495, 1226, 3904, 1054, 2125, 21317, 32, 1026, 5970, 3886, 1781, 18, 1044, 5203, 1184, 19891, 1009, 6275, 1781, 1005, 1026, 5064, 1054, 1044, 5203, 1150, 1292, 1022, 2816, 2100, 24450, 7583, 27, 8247, 4815, 14643, 32, 10459, 23, 8247, 6129, 8866, 16239, 12158, 2538, 1262, 1154, 32, 17362, 9599, 1467, 17089, 1024, 1213, 24568, 1797, 8131, 53, 3576, 3107, 3831, 2818, 1062, 3107, 4071, 1106, 3107, 2545, 53, 39, 3886, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 12430, 3487, 16296, 4093, 1026, 4711, 1049, 9869, 1106, 1580, 85, 1126, 1006, 2531, 15397, 12023, 1034, 2143, 1187, 3056, 10418, 1009, 1015, 1038, 1007, 32, 1026, 6432, 6425, 8280, 1084, 1571, 9959, 3593, 1015, 1038, 2339, 1044, 27455, 17609, 2177, 3654, 1068, 2733, 5876, 2252, 1124, 1569, 19722, 20, 24450, 12540, 28, 8247, 4815, 14643, 32, 10459, 27, 16306, 6129, 8866, 26557, 12158, 2538, 1262, 1154, 32, 17362, 9599, 1467, 17089, 1024, 1213, 24568, 1797, 8131, 53, 1576, 2321, 5250, 1106, 3107, 2545, 53, 39, 21606, 19265, 6275, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 12430, 3487, 16296, 1605, 9869, 1080, 1580, 5385, 1225, 2289, 1068, 20341, 29842, 1060, 1011, 1038, 1007, 32, 9852, 1005, 13859, 2173, 1126, 8575, 1005, 19824, 1068, 10541, 1006, 13307, 1009, 5281, 3987, 4373, 2154, 7743, 2112, 1005, 11323, 1009, 2490, 1005, 8202, 1213, 2490, 21555, 1114, 5660, 7659, 1239, 8482, 1393, 2427, 1079, 1854, 20051, 1565, 3713, 1298, 9364, 1184, 37, 24450, 10459, 28, 8247, 4815, 14643, 32, 10459, 25, 8247, 6129, 8866, 13019, 12158, 2538, 1262, 1154, 32, 1083, 10377, 1, 9369, 4284, 3490, 3682, 6499, 6916, 22223, 20904, 1060, 6285, 1173, 17997, 89, 1006, 4018, 23230, 5619, 1173, 2186, 9951, 1665, 85, 2146, 1019, 4747, 1098, 16273, 8258, 14803, 21578, 8503, 11587, 15330, 5998, 78, 6933, 2401, 1057, 2352, 10823, 2695, 1179, 1291, 2159, 1009, 2209, 5134, 1315, 1203, 89, 9539, 9369, 4284, 2159, 3811, 1199, 2488, 14803, 21578, 1234, 1173, 27944, 1722, 1253, 2604, 6189, 2123, 71, 2934, 1795, 23254, 1098, 14379, 75, 1823, 2219, 3490, 23184, 77, 1223, 1005, 1446, 9961, 1330, 3424, 2045, 2123, 71, 2934, 3490, 19474, 5228, 1043, 2014, 1133, 75, 1686, 1075, 1171, 15191, 4284, 4488, 1171, 2604, 1080, 1612, 75, 4768, 1018, 1098, 1030, 15962, 1795, 23254, 1098, 2186, 5238, 21318, 1058, 1016, 3529, 2159, 1009, 2209, 5134, 1015, 1483, 1315, 1203, 89, 9539, 5962, 5869, 10989, 2628, 26501, 2146, 1875, 2872, 2140, 3143, 89, 3286, 13103, 2146, 1007, 3626, 2123, 71, 2934, 22000, 9023, 23335, 6358, 1444, 20, 3614, 1155, 1135, 2173, 1171, 2186, 5962, 5890, 3452, 2041, 2621, 19593, 10, 3459, 2041, 2621, 15, 2159, 2696, 1878, 3687, 1130, 1736, 6916, 20904, 1060, 6285, 9539, 2186, 1080, 5757, 23538, 1253, 1795, 23254, 1234, 1030, 15962, 3504, 11448, 1916, 3106, 54, 27348, 11357, 18512, 18414, 11427, 1218, 3276, 2555, 14037, 1202, 17226, 8556, 6332, 4899, 74, 1041, 7985, 7922, 17202, 1009, 11026, 1049, 1119, 14886, 11248, 1026, 9369, 4284, 6192, 10657, 1024, 1124, 9701, 15612, 1242, 1048, 10810, 8201, 2237, 1006, 27756, 1024, 12904, 24318, 1066, 8201, 5898, 1006, 11344, 2812, 1052, 88, 1463, 4928, 3732, 7055, 2574, 5179, 2445, 1114, 29917, 1048, 1006, 3364, 1187, 30368, 1009, 3246, 6240, 1802, 9476, 5326, 2730, 4434, 1072, 6332, 1048, 1298, 5470, 1114, 27677, 9175, 10920, 1048, 1132, 3249, 1544, 1187, 19123, 6420, 19363, 1132, 1048, 5665, 1046, 1026, 4818, 1187, 21351, 1213, 2729, 1060, 7475, 1327, 11988, 1009, 1871, 1403, 11566, 1097, 18, 1305, 1058, 11916, 3493, 1318, 1857, 1006, 1094, 6621, 1048, 1928, 12293, 1026, 27361, 1049, 7995, 4475, 8974, 1058, 7845, 1159, 19123, 1209, 2072, 20527, 2499, 2781, 1901, 1986, 1901, 2072, 1680, 5665, 3983, 28155, 1017, 7956, 1160, 1298, 5711, 1006, 23596, 1130, 1048, 6546, 7653, 1160, 2039, 3982, 2246, 1006, 1178, 2590, 1160, 1058, 17081, 1126, 22619, 1371, 30983, 1759, 1107, 9308, 7098, 1259, 1202, 17226, 6332, 8556, 4899, 74, 1041, 1759, 1079, 8265, 1291, 29298, 2555, 2315, 1026, 20520, 1009, 3647, 1006, 1415, 2693, 1006, 4668, 8265, 1291, 1009, 2252, 1124, 2204, 17464, 9230, 1043, 1026, 2930, 4346, 1049, 3152, 6843, 1045, 2491, 1166, 11958, 4731, 1049, 9369, 4284, 1826, 1114, 1006, 18571, 71, 1060, 16283, 1060, 6254, 1187, 15243, 27943, 3422, 10777, 6391, 1576, 8371, 43, 1043, 13799, 11166, 1072, 25561, 25789, 3422, 10777, 6391, 1467, 15132, 2204, 11834, 1322, 1026, 24094, 9413, 1356, 9369, 4284, 1009, 8817, 1049, 9192, 5, 2708, 8814, 18, 6391, 1940, 25349, 5751, 5879, 1322, 6147, 1213, 4526, 1060, 2531, 1009, 12376, 18178, 32, 23351, 2391, 1009, 3010, 1843, 1010, 626, 27636, 8814, 18, 6391, 5919, 1164, 14818, 14547, 4601, 1187, 1090, 1007, 1385, 1072, 4526, 1060, 7391, 1009, 18178, 27725, 8814, 18, 6391, 4093, 1647, 1069, 1187, 3845, 27382, 1121, 1322, 23382, 1072, 4526, 1060, 6564, 5287, 18178, 27725, 8814, 18, 6391, 1467, 9536, 1063, 31239, 3008, 7690, 1167, 1063, 1587, 19632, 31758, 1587, 19632, 2555, 1040, 1009, 7909, 1006, 7513, 1068, 16713, 1044, 6737, 6843, 9906, 18147, 29298, 2555, 6699, 7133, 1042, 8041, 5, 17198, 58, 10002, 1797, 1241, 1016, 24843, 1102, 11026, 1797, 1241, 1016, 24843, 1102, 2430, 1520, 1727, 1605, 18240, 2149, 2256, 6391, 11781, 1241, 1016, 24843, 1102, 2430, 1520, 1727, 20624, 1517, 2149, 2256, 6391, 11781, 1241, 1016, 24843, 1102, 2430, 1520, 1727, 1467, 29778, 2149, 2256, 6391, 1308, 21149, 4146, 6803, 4073, 1927, 11302, 1024, 0, 1054, 4981, 1005, 7419, 1213, 1106, 1316, 7551, 6318, 10767, 29953, 1040, 2165, 4284, 1083, 2819, 20478, 1467, 1131, 1093, 10767, 7, 7766, 1927, 2930, 2373, 40, 1316, 7551, 8226, 2013, 89, 1005, 2177, 89, 2725, 5201, 1072, 2092, 8265, 1876, 1005, 1068, 1927, 1072, 9151, 8265, 1291, 5620, 20, 1479, 20511, 1233, 15089, 1009, 8026, 12553, 1016, 4314, 85, 1016, 29953, 1040, 2165, 4284, 1307, 2819, 89, 20478, 1940, 1029, 5770, 1049, 2930, 1106, 1316, 7551, 6318, 10767, 1967, 9621, 8704, 2708, 15, 1479, 1026, 1712, 20206, 1348, 1009, 1927, 1049, 9369, 4284, 1691, 1040, 2165, 4284, 2523, 2819, 89, 20478, 18143, 0, 9914 ]

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

[ 13728, 15986, 1006, 8928, 4908, 8184, 1009, 1009, 16677, 96, 6995, 8184, 1060, 1073, 1466, 1627, 5090, 1006, 3757, 1187, 12928, 1554, 1063, 2323, 1049, 8184, 1009, 7438, 1229, 1072, 2738, 1060, 3757, 16812, 1068, 1132, 12767, 1229, 1006, 2423, 1049, 1317, 1754, 1271, 18292, 1273, 1054, 1073, 1917, 1631, 1187, 3844, 1165, 2106, 4214, 1006, 3757, 1187, 16711, 162, 4239, 19848, 1636, 1508, 1620, 1048, 1322, 1006, 17735, 1049, 1317, 1754, 1271, 18292, 1273, 1026, 5549, 1009, 1062, 1393, 1022, 3342, 1005, 1062, 3912, 1074, 1233, 1106, 2469, 1009, 1633, 4703, 152, 1005, 1060, 13460, 1049, 22584, 12534, 1060, 5827, 31207, 1970, 5233, 1054, 9864, 1009, 7269, 10965, 1629, 6730, 1043, 22994, 6820, 1086, 25873, 1043, 1026, 3479, 16845, 1062, 7451, 1726, 1387, 3036, 1049, 1073, 2984, 5094, 8, 17441, 1114, 8565, 1009, 6015, 4763, 1049, 7247, 1054, 1734, 20522, 1006, 16283, 3584, 1516, 1557, 1009, 5018, 1041, 10934, 1084, 1202, 1124, 25890, 6032, 2457, 1043, 1006, 1556, 2489, 1049, 1215, 11398, 1005, 1026, 1178, 28875, 1049, 5317, 1533, 21160, 29715, 1072, 2868, 1049, 3867, 12475, 2922, 1006, 8356, 8396, 1159, 2829, 22025, 72, 1074, 1124, 8327, 2681, 1242, 1060, 3757, 11898, 1126, 1054, 6015, 4763, 1049, 2709, 7297, 1992, 1138, 1067, 3640, 6764, 45, 11365, 18, 1114, 10454, 1142, 2162, 5247, 1679, 5550, 1010, 1271, 1844, 1726, 1782, 9566, 1043, 27466, 1726, 14371, 1016, 2132, 2032, 1271, 18869, 1233, 8486, 9342, 1445, 1291, 1077, 1124, 5426, 14541, 1005, 1006, 3028, 2706, 20, 1, 2332, 9152, 1170, 11924, 1312, 32, 1128, 5763, 8259, 19708, 1128, 5763, 8259, 2599, 19708, 1128, 5763, 8259, 7251, 19708, 1128, 5763, 28, 2704, 2599, 19708, 1128, 5763, 28086, 2599, 19708, 1128, 5763, 22257, 2599, 19708, 1025, 73, 4273, 17859, 4662, 1025, 73, 4273, 17859, 1307, 5, 15054, 9287, 1018, 1982, 1520, 1312, 32, 20557, 1533, 7628, 2426, 11924, 24086, 4557, 11136, 7133, 1042, 24575, 1026, 20971, 8549, 29229, 9833, 2904, 7260, 1295, 1026, 2658, 2373, 1042, 3465, 1606, 18307, 3549, 19, 5953, 94, 5953, 94, 13322, 1139, 69, 16481, 95, 6426, 83, 9536, 20, 24652, 626, 1114, 2236, 1009, 2011, 1005, 3354, 4565, 5193, 22093, 2156, 2624, 1072, 2658, 1533, 6046, 4331, 6133, 22093, 2156, 2624, 1072, 14460, 8932, 1188, 11490, 20, 11232, 1114, 7102, 2373, 42, 10466, 626, 1068, 10012, 5792, 1533, 6046, 4331, 1096, 13933, 3590, 91, 5670, 1373, 3123, 1068, 7909, 1006, 7442, 1533, 2511, 8227, 1096, 3321, 5330, 11232, 1054, 1655, 5182, 1811, 1024, 67, 3482, 8143, 1026, 5804, 30679, 1068, 10327, 1043, 1026, 2868, 1005, 7705, 1054, 1655, 5182, 1811, 1024, 67, 25382, 2059, 1054, 1655, 8849, 12592, 67, 1068, 7909, 1006, 7442, 9346, 4253, 1009, 17065, 6133, 15652, 1048, 1299, 3135, 31454, 1026, 6687, 1986, 1006, 2962, 3803, 1603, 1160, 9959, 10851, 7705, 1054, 1655, 5182, 1811, 1024, 7442, 67, 6788, 1006, 8227, 1009, 17065, 2168, 1713, 4331, 1234, 3321, 2154, 28115, 1026, 1720, 1009, 3142, 1005, 1006, 9067, 1043, 3997, 1009, 15558, 1005, 7705, 1054, 1655, 8849, 12592, 6137, 67, 1533, 7442, 12007, 1043, 3189, 11492, 1006, 7442, 1234, 19583, 1043, 12788, 1006, 8227, 2168, 1713, 4331, 2177, 3321, 5330, 1084, 1026, 2788, 1060, 8549, 4151, 2440, 6393, 21677, 10181, 150, 1114, 2360, 8227, 1049, 5016, 8341, 3713, 1298, 13699, 1224, 2612, 8549, 4151, 2440, 6393, 21677, 3068, 3922, 1068, 2071, 3794, 3140, 1054, 16582, 25382, 2059, 1054, 1655, 2377, 9188, 1787, 67, 1005, 19199, 1434, 1026, 6687, 1059, 8849, 24575, 1006, 31914, 20557, 7985, 4214, 8789, 1114, 8494, 1009, 1742, 3022, 7152, 1655, 19881, 3334, 1049, 7807, 67, 1005, 7705, 1072, 14460, 1655, 4416, 9152, 1170, 1005, 5377, 3496, 1248, 67, 9390, 24408, 1006, 31914, 2170, 1054, 4702, 30203, 1026, 1957, 15493, 1017, 1009, 10598, 1060, 31914, 1704, 6724, 1073, 30801, 2159, 7091, 2500, 10020, 1006, 6520, 1049, 16192, 1060, 31914, 1005, 2962, 71, 8863, 1026, 6137, 1049, 20971, 6788, 1026, 1720, 1060, 31914, 6475, 1140, 1234, 17057, 1233, 2919, 1009, 14985, 4525, 1006, 31914, 1195, 3000, 3567, 1, 1766, 1184, 15651, 5926, 1367, 2027, 28664, 1324, 1009, 1063, 1006, 2079, 28664, 1324, 1009, 2079, 1006, 1063, 2804, 4452, 1049, 1184, 4885, 1213, 1184, 3910, 2804, 4452, 1049, 1184, 3910, 1213, 1184, 4885, 24288, 25784, 2978, 8060, 9139, 18731, 1797, 8131, 53, 3576, 3107, 3831, 2818, 1062, 3107, 4071, 1067, 4186, 16549, 3886, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 2534, 7777, 16296, 19922, 1058, 7949, 1184, 1009, 1158, 1646, 2271, 1048, 1006, 2531, 15397, 11694, 1044, 1187, 4181, 1023, 1334, 1009, 1015, 1038, 1007, 1009, 17609, 27455, 1271, 8398, 17346, 1728, 16584, 1026, 9869, 7495, 1226, 1096, 1094, 5231, 1005, 1044, 1187, 3794, 7041, 20551, 1072, 1784, 1060, 1015, 1038, 5304, 3423, 2668, 1006, 1030, 3457, 7495, 1226, 1225, 19992, 21917, 1006, 2706, 1049, 12115, 27455, 1006, 2089, 3905, 1005, 1006, 1734, 4267, 1009, 15635, 13825, 1040, 2598, 22956, 1044, 13070, 17089, 1024, 1213, 24568, 1797, 8131, 53, 1576, 2321, 5250, 1067, 4186, 16549, 21606, 19265, 6275, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 2534, 3663, 16296, 1605, 12115, 7495, 1226, 1096, 1094, 5231, 1005, 1044, 1187, 3794, 10065, 19225, 1072, 1784, 1060, 1015, 1038, 5304, 20584, 1096, 1048, 3004, 1006, 9330, 1060, 1015, 1038, 1007, 1160, 1058, 13780, 1305, 1006, 9330, 1049, 12115, 1033, 12423, 3316, 16399, 20750, 1068, 5711, 19257, 10420, 1068, 2237, 4373, 2154, 2072, 5970, 1072, 3184, 1060, 4573, 1533, 17089, 1024, 1213, 24568, 12107, 13481, 1069, 1797, 8131, 53, 1576, 2321, 5250, 1067, 4186, 16549, 1205, 3107, 3831, 6860, 1106, 2713, 7826, 6275, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 8682, 2084, 4990, 16296, 19922, 1058, 7949, 1184, 1009, 1158, 1646, 2271, 1048, 1006, 2531, 15397, 11694, 1044, 1187, 4181, 1023, 1334, 1009, 1015, 1038, 1007, 1009, 17609, 27455, 1271, 8398, 17346, 1728, 16584, 1026, 12115, 7495, 1226, 1096, 1094, 5231, 1005, 1094, 1271, 5426, 25352, 21314, 1026, 1784, 1060, 1015, 1038, 5304, 3423, 2668, 1006, 1030, 3457, 7495, 1226, 1225, 19992, 21917, 1006, 2706, 1049, 12115, 27455, 1006, 2089, 3905, 1005, 1006, 1734, 4267, 1009, 15635, 13825, 1040, 2598, 3226, 2608, 1797, 8131, 53, 1797, 46, 47, 6923, 27474, 1067, 4186, 16549, 21606, 19265, 2971, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 2534, 5861, 16296, 1605, 12115, 7495, 1226, 3904, 1054, 2125, 21317, 32, 1026, 5970, 3886, 1781, 18, 1044, 5203, 1184, 19891, 1009, 6275, 1781, 1005, 1026, 5064, 1054, 1044, 5203, 1150, 1292, 1022, 2816, 2100, 24450, 7583, 27, 8247, 4815, 14643, 32, 10459, 23, 8247, 6129, 8866, 16239, 12158, 2538, 1262, 1154, 32, 17362, 9599, 1467, 17089, 1024, 1213, 24568, 1797, 8131, 53, 3576, 3107, 3831, 2818, 1062, 3107, 4071, 1106, 3107, 2545, 53, 39, 3886, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 12430, 3487, 16296, 4093, 1026, 4711, 1049, 9869, 1106, 1580, 85, 1126, 1006, 2531, 15397, 12023, 1034, 2143, 1187, 3056, 10418, 1009, 1015, 1038, 1007, 32, 1026, 6432, 6425, 8280, 1084, 1571, 9959, 3593, 1015, 1038, 2339, 1044, 27455, 17609, 2177, 3654, 1068, 2733, 5876, 2252, 1124, 1569, 19722, 20, 24450, 12540, 28, 8247, 4815, 14643, 32, 10459, 27, 16306, 6129, 8866, 26557, 12158, 2538, 1262, 1154, 32, 17362, 9599, 1467, 17089, 1024, 1213, 24568, 1797, 8131, 53, 1576, 2321, 5250, 1106, 3107, 2545, 53, 39, 21606, 19265, 6275, 1373, 1152, 15557, 6077, 39, 2818, 1675, 8305, 25488, 2164, 2503, 81, 3101, 1029, 5, 12430, 3487, 16296, 1605, 9869, 1080, 1580, 5385, 1225, 2289, 1068, 20341, 29842, 1060, 1011, 1038, 1007, 32, 9852, 1005, 13859, 2173, 1126, 8575, 1005, 19824, 1068, 10541, 1006, 13307, 1009, 5281, 3987, 4373, 2154, 7743, 2112, 1005, 11323, 1009, 2490, 1005, 8202, 1213, 2490, 21555, 1114, 5660, 7659, 1239, 8482, 1393, 2427, 1079, 1854, 20051, 1565, 3713, 1298, 9364, 1184, 37, 24450, 10459, 28, 8247, 4815, 14643, 32, 10459, 25, 8247, 6129, 8866, 13019, 12158, 2538, 1262, 1154, 32, 1083, 10377, 1, 9369, 4284, 3490, 3682, 6499, 6916, 22223, 20904, 1060, 6285, 1173, 17997, 89, 1006, 4018, 23230, 5619, 1173, 2186, 9951, 1665, 85, 2146, 1019, 4747, 1098, 16273, 8258, 14803, 21578, 8503, 11587, 15330, 5998, 78, 6933, 2401, 1057, 2352, 10823, 2695, 1179, 1291, 2159, 1009, 2209, 5134, 1315, 1203, 89, 9539, 9369, 4284, 2159, 3811, 1199, 2488, 14803, 21578, 1234, 1173, 27944, 1722, 1253, 2604, 6189, 2123, 71, 2934, 1795, 23254, 1098, 14379, 75, 1823, 2219, 3490, 23184, 77, 1223, 1005, 1446, 9961, 1330, 3424, 2045, 2123, 71, 2934, 3490, 19474, 5228, 1043, 2014, 1133, 75, 1686, 1075, 1171, 15191, 4284, 4488, 1171, 2604, 1080, 1612, 75, 4768, 1018, 1098, 1030, 15962, 1795, 23254, 1098, 2186, 5238, 21318, 1058, 1016, 3529, 2159, 1009, 2209, 5134, 1015, 1483, 1315, 1203, 89, 9539, 5962, 5869, 10989, 2628, 26501, 2146, 1875, 2872, 2140, 3143, 89, 3286, 13103, 2146, 1007, 3626, 2123, 71, 2934, 22000, 9023, 23335, 6358, 1444, 20, 3614, 1155, 1135, 2173, 1171, 2186, 5962, 5890, 3452, 2041, 2621, 19593, 10, 3459, 2041, 2621, 15, 2159, 2696, 1878, 3687, 1130, 1736, 6916, 20904, 1060, 6285, 9539, 2186, 1080, 5757, 23538, 1253, 1795, 23254, 1234, 1030, 15962, 3504, 11448, 1916, 3106, 54, 27348, 11357, 18512, 18414, 11427, 1218, 3276, 2555, 14037, 1202, 17226, 8556, 6332, 4899, 74, 1041, 7985, 7922, 17202, 1009, 11026, 1049, 1119, 14886, 11248, 1026, 9369, 4284, 6192, 10657, 1024, 1124, 9701, 15612, 1242, 1048, 10810, 8201, 2237, 1006, 27756, 1024, 12904, 24318, 1066, 8201, 5898, 1006, 11344, 2812, 1052, 88, 1463, 4928, 3732, 7055, 2574, 5179, 2445, 1114, 29917, 1048, 1006, 3364, 1187, 30368, 1009, 3246, 6240, 1802, 9476, 5326, 2730, 4434, 1072, 6332, 1048, 1298, 5470, 1114, 27677, 9175, 10920, 1048, 1132, 3249, 1544, 1187, 19123, 6420, 19363, 1132, 1048, 5665, 1046, 1026, 4818, 1187, 21351, 1213, 2729, 1060, 7475, 1327, 11988, 1009, 1871, 1403, 11566, 1097, 18, 1305, 1058, 11916, 3493, 1318, 1857, 1006, 1094, 6621, 1048, 1928, 12293, 1026, 27361, 1049, 7995, 4475, 8974, 1058, 7845, 1159, 19123, 1209, 2072, 20527, 2499, 2781, 1901, 1986, 1901, 2072, 1680, 5665, 3983, 28155, 1017, 7956, 1160, 1298, 5711, 1006, 23596, 1130, 1048, 6546, 7653, 1160, 2039, 3982, 2246, 1006, 1178, 2590, 1160, 1058, 17081, 1126, 22619, 1371, 30983, 1759, 1107, 9308, 7098, 1259, 1202, 17226, 6332, 8556, 4899, 74, 1041, 1759, 1079, 8265, 1291, 29298, 2555, 2315, 1026, 20520, 1009, 3647, 1006, 1415, 2693, 1006, 4668, 8265, 1291, 1009, 2252, 1124, 2204, 17464, 9230, 1043, 1026, 2930, 4346, 1049, 3152, 6843, 1045, 2491, 1166, 11958, 4731, 1049, 9369, 4284, 1826, 1114, 1006, 18571, 71, 1060, 16283, 1060, 6254, 1187, 15243, 27943, 3422, 10777, 6391, 1576, 8371, 43, 1043, 13799, 11166, 1072, 25561, 25789, 3422, 10777, 6391, 1467, 15132, 2204, 11834, 1322, 1026, 24094, 9413, 1356, 9369, 4284, 1009, 8817, 1049, 9192, 5, 2708, 8814, 18, 6391, 1940, 25349, 5751, 5879, 1322, 6147, 1213, 4526, 1060, 2531, 1009, 12376, 18178, 32, 23351, 2391, 1009, 3010, 1843, 1010, 626, 27636, 8814, 18, 6391, 5919, 1164, 14818, 14547, 4601, 1187, 1090, 1007, 1385, 1072, 4526, 1060, 7391, 1009, 18178, 27725, 8814, 18, 6391, 4093, 1647, 1069, 1187, 3845, 27382, 1121, 1322, 23382, 1072, 4526, 1060, 6564, 5287, 18178, 27725, 8814, 18, 6391, 1467, 9536, 1063, 31239, 3008, 7690, 1167, 1063, 1587, 19632, 31758, 1587, 19632, 2555, 1040, 1009, 7909, 1006, 7513, 1068, 16713, 1044, 6737, 6843, 9906, 18147, 29298, 2555, 6699, 7133, 1042, 8041, 5, 17198, 58, 10002, 1797, 1241, 1016, 24843, 1102, 11026, 1797, 1241, 1016, 24843, 1102, 2430, 1520, 1727, 1605, 18240, 2149, 2256, 6391, 11781, 1241, 1016, 24843, 1102, 2430, 1520, 1727, 20624, 1517, 2149, 2256, 6391, 11781, 1241, 1016, 24843, 1102, 2430, 1520, 1727, 1467, 29778, 2149, 2256, 6391, 1308, 21149, 4146, 6803, 4073, 1927, 11302, 1024, 0, 1054, 4981, 1005, 7419, 1213, 1106, 1316, 7551, 6318, 10767, 29953, 1040, 2165, 4284, 1083, 2819, 20478, 1467, 1131, 1093, 10767, 7, 7766, 1927, 2930, 2373, 40, 1316, 7551, 8226, 2013, 89, 1005, 2177, 89, 2725, 5201, 1072, 2092, 8265, 1876, 1005, 1068, 1927, 1072, 9151, 8265, 1291, 5620, 20, 1479, 20511, 1233, 15089, 1009, 8026, 12553, 1016, 4314, 85, 1016, 29953, 1040, 2165, 4284, 1307, 2819, 89, 20478, 1940, 1029, 5770, 1049, 2930, 1106, 1316, 7551, 6318, 10767, 1967, 9621, 8704, 2708, 15, 1479, 1026, 1712, 20206, 1348, 1009, 1927, 1049, 9369, 4284, 1691, 1040, 2165, 4284, 2523, 2819, 89, 20478, 18143, 0, 9914 ]

[ 1313, 1174, 79, 3492, 4596, 14952, 25, 2621, 14054, 1018, 10664, 1336, 18490, 1005, 1156, 85, 58, 1307, 1009, 3113, 1009, 4210, 3404, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 1467, 7517, 1508, 3057, 4434, 1094, 2360, 4169, 1009, 10145, 4596, 1068, 13949, 1026, 1235, 1594, 1297, 1468, 1114, 3444, 1313, 1174, 79, 5884, 1999, 23, 2081, 1026, 1313, 1174, 79, 3492, 4596, 14952, 25, 2621, 14054, 2223, 1424, 1264, 1299, 1298, 1058, 12251, 1726, 4928, 2020, 1174, 79, 29395, 1184, 5, 3989, 7222, 1663, 1044, 1119, 2298, 1185, 3265, 1043, 1594, 1297, 1468, 11479, 1297, 4693, 24601, 2978, 1009, 3383, 1009, 4210, 1083, 1009, 3049, 1009, 6391, 2345, 18066, 13464, 8889, 7572, 25426, 1009, 3004, 3230, 4803, 5172, 1159, 15891, 1044, 1119, 2298, 2126, 1014, 1043, 1594, 1297, 1468, 2301, 1044, 29488, 14347, 20, 1972, 1663, 1668, 2683, 6952, 1009, 1858, 1299, 2155, 8307, 1009, 1044, 1594, 1297, 1468, 1431, 1100, 8973, 1123, 9737, 24164, 25, 3459, 23, 29395, 1184, 25784, 27, 8018, 24408, 8255, 20557, 1213, 1594, 1297, 1468, 2301, 1026, 20557, 30614, 3492, 4596, 11479, 1297, 1468, 1675, 1009, 3149, 1009, 4210, 3295, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 22233, 2859, 4803, 1419, 1094, 1871, 1009, 16934, 1006, 5556, 1049, 1594, 1297, 1468, 1043, 1026, 1784, 15206, 7575, 1026, 1594, 1297, 1468, 20557, 30614, 3492, 4596, 18, 1094, 10295, 1114, 1428, 1299, 1298, 13949, 20781, 1166, 2007, 26925, 1184, 5, 11748, 7222, 12251, 1026, 1594, 1297, 1468, 1006, 1094, 3444, 24744, 9442, 61, 1336, 18490, 1005, 1156, 85, 58, 1158, 1009, 3268, 1009, 4152, 2128, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 3008, 1316, 11242, 1371, 1187, 14596, 1005, 1125, 24408, 1026, 1235, 1594, 1297, 1468, 1233, 4928, 2020, 1336, 18490, 1043, 1026, 1313, 1174, 79, 3492, 4596, 14952, 25, 2621, 1060, 27012, 76, 1146, 20, 1424, 1989, 8973, 1299, 6787, 1058, 12251, 1726, 4928, 2020, 1336, 18490, 1184, 7274, 29395, 1184, 5, 7560, 10814, 1785, 1077, 30741, 1005, 6472, 1819, 17736, 1312, 1043, 1026, 1594, 1297, 1468, 1163, 57, 51, 3492, 4596, 11479, 1297, 4693, 1313, 1336, 18490, 1005, 1156, 85, 58, 3295, 1009, 3042, 1009, 4152, 1083, 1009, 3049, 1009, 6391, 2345, 18066, 13464, 8889, 10222, 16330, 10142, 4931, 1550, 3589, 12054, 1009, 17729, 6822, 1125, 24408, 1026, 1235, 1594, 1297, 1468, 1233, 5353, 1005, 7181, 1493, 1184, 1043, 1026, 1594, 1297, 1468, 1163, 57, 51, 1163, 9554, 57, 3492, 4596, 20, 1424, 1989, 1594, 1297, 1468, 1163, 57, 51, 3492, 4596, 1299, 1298, 7340, 29395, 1184, 5, 5235, 27, 7222, 15891, 1044, 3314, 169, 2773, 3298, 1009, 9832, 1043, 1594, 1297, 1468, 17104, 3492, 4596, 11479, 1297, 4693, 3314, 14570, 2978, 1009, 3403, 1009, 4152, 1083, 1009, 3049, 1009, 6391, 2345, 18066, 13464, 8889, 11731, 2218, 1508, 1026, 4434, 15139, 5152, 13583, 2224, 60, 1043, 1026, 17104, 3492, 4596, 1594, 1297, 4693, 1825, 2315, 2754, 7220, 1187, 19531, 2106, 1043, 9312, 1322, 1159, 7682, 1124, 8434, 1048, 2373, 18364, 1202, 626, 1072, 10145, 4596, 1068, 29395, 1184, 28972, 24, 7222, 16412, 1043, 1026, 1594, 1297, 1468, 21371, 1227, 1095, 3492, 4596, 1313, 27, 8259, 11479, 1297, 1468, 3734, 1009, 2992, 1009, 4152, 1204, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 10888, 4690, 1024, 28275, 1206, 7340, 2266, 30153, 1278, 1096, 1044, 1187, 3056, 7963, 1009, 2306, 1323, 6289, 1043, 1594, 1297, 12423, 1138, 1594, 1297, 1468, 21371, 1227, 1095, 3492, 4596, 1313, 27, 8259, 1096, 2143, 7044, 3987, 10465, 1048, 2247, 1009, 28386, 1026, 1, 5525, 1009, 4783, 1009, 17183, 1068, 2161, 1184, 3910, 1309, 1305, 6388, 7533, 1175, 30251, 4261, 27317, 25623, 1005, 4623, 13633, 1175, 15302, 7844, 54, 1940, 10458, 7844, 54, 25148, 1302, 1024, 1009, 4783, 1009, 17183, 1068, 2161, 1184, 3910, 1309, 1305, 6388, 7533, 24848, 6765, 17764, 30251, 4261, 27317, 25623, 1005, 4623, 13633, 5, 93, 7254, 1517, 76, 3186, 10658, 2457, 4053, 1578, 23273, 30129, 1605, 26721, 5, 1420, 1323, 2257, 2683, 1069, 1496, 1702, 1557, 1309, 1927, 13115, 3484, 1124, 5220, 1761, 92, 5006, 2364, 11798, 5317, 5, 1040, 4785, 30625, 1006, 6388, 1206, 11798, 7533, 1054, 4785, 30625, 1006, 5525, 1009, 4783, 1009, 17183, 2449, 1094, 1761, 12079, 1048, 1114, 5643, 15517, 1040, 11798, 1323, 22560, 1975, 6679, 1006, 8934, 2340, 6011, 1048, 9364, 3629, 1114, 4099, 1199, 5643, 1005, 1846, 13949, 1068, 2143, 2730, 1471, 1005, 11798, 11830, 5560, 8218, 1188, 1005, 15517, 1040, 11798, 11217, 5525, 1114, 4464, 1005, 4540, 9149, 1928, 85, 2364, 2995, 1016, 2682, 1058, 1044, 17183, 9578, 5525, 1009, 1094, 4783, 8976, 1068, 1094, 1853, 1206, 4473, 1062, 5436, 1521, 2763, 13974, 1068, 2306, 13797, 1516, 1496, 2254, 1333, 28330, 1068, 1106, 1206, 1009, 1106, 1068, 1063, 11798, 1496, 1871, 1009, 11798, 6388, 1132, 7533, 1006, 11798, 1178, 29711, 1006, 5267, 1009, 1023, 1076, 1048, 11798, 26469, 1890, 1132, 1646, 1006, 1048, 3206, 1051, 2433, 1006, 1094, 2542, 1827, 2165, 7511, 37, 1096, 1048, 11798, 1323, 1381, 5239, 1094, 3271, 11146, 6622, 1184, 1309, 1178, 7725, 7368, 1118, 1616, 1006, 11798, 1178, 1048, 1600, 2934, 1006, 5267, 1009, 1664, 1132, 1646, 1054, 1048, 7062, 1114, 4783, 7511, 19176, 2803, 1114, 4600, 1009, 1445, 4019, 2730, 16811, 5879, 1058, 1054, 11717, 1009, 13063, 1511, 1026, 2161, 9793, 71, 1132, 6514, 11556, 1309, 4062, 1090, 1126, 1616, 5846, 1096, 1581, 1188, 1068, 2306, 4454, 1009, 1178, 1823, 2037, 2306, 7209, 1009, 4783, 13797, 11798, 1225, 19390, 1026, 1048, 11798, 1381, 5239, 2246, 2306, 4454, 1592, 2593, 1006, 1178, 7071, 1069, 1006, 2306, 11798, 6409, 5711, 1006, 6622, 1026, 1592, 2161, 1005, 2569, 1048, 5525, 1009, 4783, 6593, 25240, 4337, 1184, 3473, 3616, 13246, 11788, 1101, 1761, 24087, 9878, 72, 6696, 1759, 50, 5, 93, 7254, 1517, 76, 3404, 10658, 2457, 4053, 17968, 3531, 3093, 24, 8682, 2704, 11461, 71, 1370, 1018, 0, 28216, 1040, 8057, 4364, 1189, 69, 16111, 1014, 2767, 3404, 10658, 2457, 4053, 17968, 5963, 3093, 16085, 93, 7254, 1517, 76, 1898, 23, 2704, 11461, 71, 1370, 1018, 0, 28216, 1040, 3900, 65, 83, 15090, 35, 3531, 27, 4368, 67, 93, 7254, 1517, 9481, 1467, 3969, 1048, 6082, 9410, 1118, 1178, 1094, 4087, 25678, 1058, 3048, 1132, 3140, 1049, 17764, 22560, 1975, 2997, 1094, 3484, 7018, 1525, 0, 3385, 3002, 2997, 1006, 2348, 7059, 10568, 1133, 3992, 1006, 1048, 1006, 24855, 1043, 1048, 1058, 1109, 9231, 2262, 1114, 24967, 1049, 13331, 0, 1009, 7533, 1118, 4783, 1009, 1998, 25282, 1178, 3630, 1054, 1752, 1094, 1271, 17657, 4065, 1160, 1381, 2073, 5239, 2464, 1072, 2535, 1009, 1044, 16798, 1009, 1094, 4783, 7511, 14149, 1068, 1094, 4783, 4260, 9545, 1006, 5943, 1049, 13331, 0, 1009, 7533, 1048, 1026, 16798, 1566, 2257, 3282, 1114, 4783, 7511, 20, 1138, 1048, 5544, 5379, 1096, 2464, 1006, 2323, 1049, 2803, 1054, 1048, 9545, 2122, 10996, 1068, 1006, 4783, 19393, 1026, 16798, 8491, 1132, 7533, 1048, 1566, 2257, 1005, 5103, 1006, 30510, 1130, 1009, 2303, 1043, 1006, 2360, 4783, 3590, 1157, 2991, 1898, 2366, 1067, 5397, 1009, 4783, 1106, 15122, 6292, 1027, 1009, 1083, 11273, 1006, 1752, 1782, 1646, 14, 37, 5885, 1096, 11419, 1233, 2224, 2864, 1225, 3282, 1006, 1101, 7533, 8465, 7533, 1006, 2323, 1049, 1158, 0, 1901, 1009, 11419, 1621, 39, 1010, 2523, 1646, 1009, 11419, 7160, 1068, 4783, 1063, 15122, 6292, 1027, 1009, 1083, 11273, 1006, 1752, 1487, 1646, 1071, 20724, 1565, 9649, 1191, 1132, 1101, 7533, 1495, 8236, 1132, 1984, 1646, 1009, 4100, 13996, 4464, 1054, 1048, 1109, 9231, 2262, 1068, 1132, 1307, 23093, 1005, 1213, 1158, 1646, 1009, 11419, 1109, 9231, 2262, 1068, 1422, 7533, 2098, 2974, 1048, 1096, 1616, 3482, 50, 5, 93, 7254, 1517, 76, 3404, 10658, 2457, 4053, 17968, 5003, 3093, 19194, 1193, 18371, 1503, 15517, 1040, 26624, 1616, 1005, 1516, 1006, 4840, 1048, 2257, 1309, 11798, 1195, 1680, 1026, 1048, 3675, 1803, 2257, 6728, 1048, 21711, 4278, 9839, 1005, 1048, 1855, 1040, 7211, 1989, 20961, 5, 1010, 6322, 3639, 10543, 2237, 85, 1028, 1029, 1547, 6079, 4540, 1419, 1058, 1132, 5956, 1005, 1058, 6581, 10541, 1680, 1159, 5639, 29683, 5, 1193, 6696, 25386, 89, 95, 3222, 3404, 10658, 2457, 4053, 11425, 2944, 3093, 27, 8422, 1200, 2582, 1132, 7533, 9493, 1318, 1566, 8717, 4783, 7833, 6126, 8134, 2864, 1511, 18001, 1006, 4524, 1005, 24306, 6313, 1068, 9100, 8717, 8383, 1006, 4783, 1009, 16798, 1068, 4783, 6759, 1084, 6082, 1323, 8413, 1006, 5267, 1365, 1026, 2161, 1009, 9389, 1124, 8862, 2309, 1646, 1048, 8717, 4783, 20736, 1616, 3048, 1381, 5239, 24755, 1026, 24106, 2730, 8122, 1100, 1160, 1395, 5192, 3754, 3192, 2340, 1160, 2257, 1039, 7516, 1054, 15069, 1059, 2608, 16673, 40, 4610, 2971, 10658, 2457, 4053, 31404, 3989, 3093, 28, 4935, 19440, 1094, 4783, 1184, 30840, 1475, 1016, 1068, 1094, 1184, 2519, 1114, 2318, 1377, 1134, 1392, 1043, 1006, 1614, 25550, 1495, 1233, 3164, 1060, 3212, 9745, 1005, 1006, 10085, 1027, 1381, 1371, 1009, 2303, 1043, 1006, 4783, 18936, 1006, 2323, 1060, 79, 5653, 2991, 1058, 19440, 1106, 1837, 2224, 1646, 19440, 1101, 23093, 1058, 10857, 1074, 1068, 1063, 1006, 10085, 1027, 4145, 1371, 1679, 2128, 1646, 1009, 11419, 1005, 1160, 1679, 1984, 4073, 27244, 1009, 4783, 1096, 1048, 1006, 1118, 1609, 16894, 1026, 23240, 1667, 2899, 1017, 2682, 1026, 8542, 2909, 1141, 4046, 1278, 1026, 1592, 1060, 1681, 5330, 2605, 1160, 1096, 1059, 9548, 14015, 1620, 1160, 24890, 1058, 1006, 3010, 1076, 1096, 10105, 1072, 5239, 1009, 2373, 1491, 1014, 626, 1026, 1184, 1510, 13974, 1213, 1998, 25282, 1206, 5417, 1160, 1327, 1096, 25251, 1009, 22489, 5561, 4710, 1006, 1761, 12079, 1058, 1096, 1094, 2373, 30694, 8014, 626, 1251, 9176, 1206, 1475, 1525, 2856, 82, 1078, 17169, 1048, 5934, 1096, 1048, 1114, 7507, 1009, 1160, 6167, 1074, 1009, 30171, 4343, 1395, 3754, 1048, 1200, 2582, 1006, 1614, 25550, 1009, 1998, 25282, 1048, 1200, 2582, 1132, 23093, 7088, 1005, 2697, 1016, 1118, 1848, 1068, 2573, 6141, 1005, 1808, 1016, 2289, 3659, 1114, 2921, 2856, 7150, 17169, 1048, 2533, 14431, 3552, 27298, 4145, 14951, 3530, 7533, 1005, 1614, 1706, 3843, 1138, 1048, 2533, 14431, 1072, 8358, 4145, 14951, 2924, 1598, 1814, 1009, 2383, 6463, 20, 3204, 1096, 3330, 1054, 11200, 2871, 1009, 1487, 1206, 1782, 5219, 1006, 2921, 4783, 13152, 5937, 83, 2539, 4030, 7010, 5042, 1009, 8862, 1005, 2373, 17132, 4237, 1009, 13700, 626, 1005, 2373, 17132, 4237, 2730, 16811, 8226, 7496, 2374, 1307, 3469, 24044, 1048, 2093, 1040, 1080, 1053, 4387, 1005, 6118, 1667, 1063, 4556, 1096, 1048, 1006, 1030, 1065, 1145, 29683, 2246, 1006, 3271, 1365, 5184, 1049, 11411, 1206, 5711, 1006, 6622, 2064, 1076, 1357, 18723, 1377, 15369, 1294, 2373, 17132, 12815, 626, 23639, 1213, 9735, 2246, 8898, 1046, 3360, 1006, 15564, 1048, 2073, 1044, 7917, 1118, 1058, 1198, 1399, 2048, 1511, 5662, 1124, 2317, 1016, 2072, 1744, 79, 1019, 2447, 5, 2402, 71, 10828, 1029, 4507, 3989, 1782, 9350, 2457, 4229, 11425, 3949, 3093, 29, 1940, 2304, 1006, 5643, 1309, 15517, 1040, 11798, 11830, 8218, 1188, 1060, 3484, 20, 3953, 3581, 1507, 1343, 1106, 1837, 1675, 1646, 1005, 2449, 1083, 2835, 6302, 1603, 5525, 1068, 1063, 1998, 14428, 2143, 11273, 1054, 1487, 1646, 37, 1603, 5711, 1159, 1106, 17124, 1006, 1422, 1646, 4857, 11641, 3048, 1381, 1493, 5239, 1059, 4736, 2145, 2224, 9350, 2457, 4229, 12150, 4406, 3093, 30, 5, 2402, 71, 10828, 1029, 4507, 3989, 29253, 2304, 1006, 5643, 1309, 15517, 1040, 11798, 11830, 8218, 1188, 1060, 3484, 20, 3953, 3581, 1507, 1343, 1106, 1837, 1675, 1646, 1005, 2449, 1083, 2835, 6302, 1603, 5525, 1068, 1063, 1998, 14428, 2143, 11273, 1054, 1487, 1646, 37, 1603, 5711, 1159, 1106, 17124, 1006, 1422, 1646, 4857, 11641, 3048, 1381, 1493, 5239, 24755, 1616, 2449, 1006, 3754, 2156, 3469, 1059, 5056, 3953, 1006, 3653, 1009, 1083, 16798, 2135, 1083, 11273, 3482, 1089, 1048, 2177, 1493, 4417, 3062, 4537, 1800, 1043, 1006, 1871, 1159, 1026, 17764, 1325, 20, 2605, 1318, 2909, 1006, 3653, 1009, 1094, 19701, 10085, 1525, 1006, 1083, 16798, 2135, 1083, 4427, 1100, 25482, 1026, 5862, 1009, 7533, 1118, 1614, 25550, 1054, 1101, 1206, 1307, 7086, 1229, 5639, 1927, 1043, 3473, 26146, 1068, 2306, 3215, 1034, 7533, 1059, 4681, 2494, 2348, 1200, 3096, 1095, 1525, 1026, 4465, 1009, 5891, 1009, 7533, 1118, 1614, 25550, 21592, 1178, 5580, 2073, 1048, 4219, 1006, 4783, 1009, 16798, 1059, 1363, 1034, 1516, 1178, 8088, 14641, 1094, 1871, 1009, 26146, 1068, 1132, 23059, 1009, 8862, 13270, 20, 3316, 8545, 1096, 1026, 3177, 1233, 21599, 1140, 1063, 1160, 2593, 5321, 1068, 23059, 1106, 2663, 14870, 2118, 1349, 1058, 1044, 16798, 1048, 1160, 2374, 1063 ]

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

[ 1313, 1174, 79, 3492, 4596, 14952, 25, 2621, 14054, 1018, 10664, 1336, 18490, 1005, 1156, 85, 58, 1307, 1009, 3113, 1009, 4210, 3404, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 1467, 7517, 1508, 3057, 4434, 1094, 2360, 4169, 1009, 10145, 4596, 1068, 13949, 1026, 1235, 1594, 1297, 1468, 1114, 3444, 1313, 1174, 79, 5884, 1999, 23, 2081, 1026, 1313, 1174, 79, 3492, 4596, 14952, 25, 2621, 14054, 2223, 1424, 1264, 1299, 1298, 1058, 12251, 1726, 4928, 2020, 1174, 79, 29395, 1184, 5, 3989, 7222, 1663, 1044, 1119, 2298, 1185, 3265, 1043, 1594, 1297, 1468, 11479, 1297, 4693, 24601, 2978, 1009, 3383, 1009, 4210, 1083, 1009, 3049, 1009, 6391, 2345, 18066, 13464, 8889, 7572, 25426, 1009, 3004, 3230, 4803, 5172, 1159, 15891, 1044, 1119, 2298, 2126, 1014, 1043, 1594, 1297, 1468, 2301, 1044, 29488, 14347, 20, 1972, 1663, 1668, 2683, 6952, 1009, 1858, 1299, 2155, 8307, 1009, 1044, 1594, 1297, 1468, 1431, 1100, 8973, 1123, 9737, 24164, 25, 3459, 23, 29395, 1184, 25784, 27, 8018, 24408, 8255, 20557, 1213, 1594, 1297, 1468, 2301, 1026, 20557, 30614, 3492, 4596, 11479, 1297, 1468, 1675, 1009, 3149, 1009, 4210, 3295, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 22233, 2859, 4803, 1419, 1094, 1871, 1009, 16934, 1006, 5556, 1049, 1594, 1297, 1468, 1043, 1026, 1784, 15206, 7575, 1026, 1594, 1297, 1468, 20557, 30614, 3492, 4596, 18, 1094, 10295, 1114, 1428, 1299, 1298, 13949, 20781, 1166, 2007, 26925, 1184, 5, 11748, 7222, 12251, 1026, 1594, 1297, 1468, 1006, 1094, 3444, 24744, 9442, 61, 1336, 18490, 1005, 1156, 85, 58, 1158, 1009, 3268, 1009, 4152, 2128, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 3008, 1316, 11242, 1371, 1187, 14596, 1005, 1125, 24408, 1026, 1235, 1594, 1297, 1468, 1233, 4928, 2020, 1336, 18490, 1043, 1026, 1313, 1174, 79, 3492, 4596, 14952, 25, 2621, 1060, 27012, 76, 1146, 20, 1424, 1989, 8973, 1299, 6787, 1058, 12251, 1726, 4928, 2020, 1336, 18490, 1184, 7274, 29395, 1184, 5, 7560, 10814, 1785, 1077, 30741, 1005, 6472, 1819, 17736, 1312, 1043, 1026, 1594, 1297, 1468, 1163, 57, 51, 3492, 4596, 11479, 1297, 4693, 1313, 1336, 18490, 1005, 1156, 85, 58, 3295, 1009, 3042, 1009, 4152, 1083, 1009, 3049, 1009, 6391, 2345, 18066, 13464, 8889, 10222, 16330, 10142, 4931, 1550, 3589, 12054, 1009, 17729, 6822, 1125, 24408, 1026, 1235, 1594, 1297, 1468, 1233, 5353, 1005, 7181, 1493, 1184, 1043, 1026, 1594, 1297, 1468, 1163, 57, 51, 1163, 9554, 57, 3492, 4596, 20, 1424, 1989, 1594, 1297, 1468, 1163, 57, 51, 3492, 4596, 1299, 1298, 7340, 29395, 1184, 5, 5235, 27, 7222, 15891, 1044, 3314, 169, 2773, 3298, 1009, 9832, 1043, 1594, 1297, 1468, 17104, 3492, 4596, 11479, 1297, 4693, 3314, 14570, 2978, 1009, 3403, 1009, 4152, 1083, 1009, 3049, 1009, 6391, 2345, 18066, 13464, 8889, 11731, 2218, 1508, 1026, 4434, 15139, 5152, 13583, 2224, 60, 1043, 1026, 17104, 3492, 4596, 1594, 1297, 4693, 1825, 2315, 2754, 7220, 1187, 19531, 2106, 1043, 9312, 1322, 1159, 7682, 1124, 8434, 1048, 2373, 18364, 1202, 626, 1072, 10145, 4596, 1068, 29395, 1184, 28972, 24, 7222, 16412, 1043, 1026, 1594, 1297, 1468, 21371, 1227, 1095, 3492, 4596, 1313, 27, 8259, 11479, 1297, 1468, 3734, 1009, 2992, 1009, 4152, 1204, 1009, 3268, 1009, 4579, 2345, 18066, 13464, 8889, 10888, 4690, 1024, 28275, 1206, 7340, 2266, 30153, 1278, 1096, 1044, 1187, 3056, 7963, 1009, 2306, 1323, 6289, 1043, 1594, 1297, 12423, 1138, 1594, 1297, 1468, 21371, 1227, 1095, 3492, 4596, 1313, 27, 8259, 1096, 2143, 7044, 3987, 10465, 1048, 2247, 1009, 28386, 1026, 1, 5525, 1009, 4783, 1009, 17183, 1068, 2161, 1184, 3910, 1309, 1305, 6388, 7533, 1175, 30251, 4261, 27317, 25623, 1005, 4623, 13633, 1175, 15302, 7844, 54, 1940, 10458, 7844, 54, 25148, 1302, 1024, 1009, 4783, 1009, 17183, 1068, 2161, 1184, 3910, 1309, 1305, 6388, 7533, 24848, 6765, 17764, 30251, 4261, 27317, 25623, 1005, 4623, 13633, 5, 93, 7254, 1517, 76, 3186, 10658, 2457, 4053, 1578, 23273, 30129, 1605, 26721, 5, 1420, 1323, 2257, 2683, 1069, 1496, 1702, 1557, 1309, 1927, 13115, 3484, 1124, 5220, 1761, 92, 5006, 2364, 11798, 5317, 5, 1040, 4785, 30625, 1006, 6388, 1206, 11798, 7533, 1054, 4785, 30625, 1006, 5525, 1009, 4783, 1009, 17183, 2449, 1094, 1761, 12079, 1048, 1114, 5643, 15517, 1040, 11798, 1323, 22560, 1975, 6679, 1006, 8934, 2340, 6011, 1048, 9364, 3629, 1114, 4099, 1199, 5643, 1005, 1846, 13949, 1068, 2143, 2730, 1471, 1005, 11798, 11830, 5560, 8218, 1188, 1005, 15517, 1040, 11798, 11217, 5525, 1114, 4464, 1005, 4540, 9149, 1928, 85, 2364, 2995, 1016, 2682, 1058, 1044, 17183, 9578, 5525, 1009, 1094, 4783, 8976, 1068, 1094, 1853, 1206, 4473, 1062, 5436, 1521, 2763, 13974, 1068, 2306, 13797, 1516, 1496, 2254, 1333, 28330, 1068, 1106, 1206, 1009, 1106, 1068, 1063, 11798, 1496, 1871, 1009, 11798, 6388, 1132, 7533, 1006, 11798, 1178, 29711, 1006, 5267, 1009, 1023, 1076, 1048, 11798, 26469, 1890, 1132, 1646, 1006, 1048, 3206, 1051, 2433, 1006, 1094, 2542, 1827, 2165, 7511, 37, 1096, 1048, 11798, 1323, 1381, 5239, 1094, 3271, 11146, 6622, 1184, 1309, 1178, 7725, 7368, 1118, 1616, 1006, 11798, 1178, 1048, 1600, 2934, 1006, 5267, 1009, 1664, 1132, 1646, 1054, 1048, 7062, 1114, 4783, 7511, 19176, 2803, 1114, 4600, 1009, 1445, 4019, 2730, 16811, 5879, 1058, 1054, 11717, 1009, 13063, 1511, 1026, 2161, 9793, 71, 1132, 6514, 11556, 1309, 4062, 1090, 1126, 1616, 5846, 1096, 1581, 1188, 1068, 2306, 4454, 1009, 1178, 1823, 2037, 2306, 7209, 1009, 4783, 13797, 11798, 1225, 19390, 1026, 1048, 11798, 1381, 5239, 2246, 2306, 4454, 1592, 2593, 1006, 1178, 7071, 1069, 1006, 2306, 11798, 6409, 5711, 1006, 6622, 1026, 1592, 2161, 1005, 2569, 1048, 5525, 1009, 4783, 6593, 25240, 4337, 1184, 3473, 3616, 13246, 11788, 1101, 1761, 24087, 9878, 72, 6696, 1759, 50, 5, 93, 7254, 1517, 76, 3404, 10658, 2457, 4053, 17968, 3531, 3093, 24, 8682, 2704, 11461, 71, 1370, 1018, 0, 28216, 1040, 8057, 4364, 1189, 69, 16111, 1014, 2767, 3404, 10658, 2457, 4053, 17968, 5963, 3093, 16085, 93, 7254, 1517, 76, 1898, 23, 2704, 11461, 71, 1370, 1018, 0, 28216, 1040, 3900, 65, 83, 15090, 35, 3531, 27, 4368, 67, 93, 7254, 1517, 9481, 1467, 3969, 1048, 6082, 9410, 1118, 1178, 1094, 4087, 25678, 1058, 3048, 1132, 3140, 1049, 17764, 22560, 1975, 2997, 1094, 3484, 7018, 1525, 0, 3385, 3002, 2997, 1006, 2348, 7059, 10568, 1133, 3992, 1006, 1048, 1006, 24855, 1043, 1048, 1058, 1109, 9231, 2262, 1114, 24967, 1049, 13331, 0, 1009, 7533, 1118, 4783, 1009, 1998, 25282, 1178, 3630, 1054, 1752, 1094, 1271, 17657, 4065, 1160, 1381, 2073, 5239, 2464, 1072, 2535, 1009, 1044, 16798, 1009, 1094, 4783, 7511, 14149, 1068, 1094, 4783, 4260, 9545, 1006, 5943, 1049, 13331, 0, 1009, 7533, 1048, 1026, 16798, 1566, 2257, 3282, 1114, 4783, 7511, 20, 1138, 1048, 5544, 5379, 1096, 2464, 1006, 2323, 1049, 2803, 1054, 1048, 9545, 2122, 10996, 1068, 1006, 4783, 19393, 1026, 16798, 8491, 1132, 7533, 1048, 1566, 2257, 1005, 5103, 1006, 30510, 1130, 1009, 2303, 1043, 1006, 2360, 4783, 3590, 1157, 2991, 1898, 2366, 1067, 5397, 1009, 4783, 1106, 15122, 6292, 1027, 1009, 1083, 11273, 1006, 1752, 1782, 1646, 14, 37, 5885, 1096, 11419, 1233, 2224, 2864, 1225, 3282, 1006, 1101, 7533, 8465, 7533, 1006, 2323, 1049, 1158, 0, 1901, 1009, 11419, 1621, 39, 1010, 2523, 1646, 1009, 11419, 7160, 1068, 4783, 1063, 15122, 6292, 1027, 1009, 1083, 11273, 1006, 1752, 1487, 1646, 1071, 20724, 1565, 9649, 1191, 1132, 1101, 7533, 1495, 8236, 1132, 1984, 1646, 1009, 4100, 13996, 4464, 1054, 1048, 1109, 9231, 2262, 1068, 1132, 1307, 23093, 1005, 1213, 1158, 1646, 1009, 11419, 1109, 9231, 2262, 1068, 1422, 7533, 2098, 2974, 1048, 1096, 1616, 3482, 50, 5, 93, 7254, 1517, 76, 3404, 10658, 2457, 4053, 17968, 5003, 3093, 19194, 1193, 18371, 1503, 15517, 1040, 26624, 1616, 1005, 1516, 1006, 4840, 1048, 2257, 1309, 11798, 1195, 1680, 1026, 1048, 3675, 1803, 2257, 6728, 1048, 21711, 4278, 9839, 1005, 1048, 1855, 1040, 7211, 1989, 20961, 5, 1010, 6322, 3639, 10543, 2237, 85, 1028, 1029, 1547, 6079, 4540, 1419, 1058, 1132, 5956, 1005, 1058, 6581, 10541, 1680, 1159, 5639, 29683, 5, 1193, 6696, 25386, 89, 95, 3222, 3404, 10658, 2457, 4053, 11425, 2944, 3093, 27, 8422, 1200, 2582, 1132, 7533, 9493, 1318, 1566, 8717, 4783, 7833, 6126, 8134, 2864, 1511, 18001, 1006, 4524, 1005, 24306, 6313, 1068, 9100, 8717, 8383, 1006, 4783, 1009, 16798, 1068, 4783, 6759, 1084, 6082, 1323, 8413, 1006, 5267, 1365, 1026, 2161, 1009, 9389, 1124, 8862, 2309, 1646, 1048, 8717, 4783, 20736, 1616, 3048, 1381, 5239, 24755, 1026, 24106, 2730, 8122, 1100, 1160, 1395, 5192, 3754, 3192, 2340, 1160, 2257, 1039, 7516, 1054, 15069, 1059, 2608, 16673, 40, 4610, 2971, 10658, 2457, 4053, 31404, 3989, 3093, 28, 4935, 19440, 1094, 4783, 1184, 30840, 1475, 1016, 1068, 1094, 1184, 2519, 1114, 2318, 1377, 1134, 1392, 1043, 1006, 1614, 25550, 1495, 1233, 3164, 1060, 3212, 9745, 1005, 1006, 10085, 1027, 1381, 1371, 1009, 2303, 1043, 1006, 4783, 18936, 1006, 2323, 1060, 79, 5653, 2991, 1058, 19440, 1106, 1837, 2224, 1646, 19440, 1101, 23093, 1058, 10857, 1074, 1068, 1063, 1006, 10085, 1027, 4145, 1371, 1679, 2128, 1646, 1009, 11419, 1005, 1160, 1679, 1984, 4073, 27244, 1009, 4783, 1096, 1048, 1006, 1118, 1609, 16894, 1026, 23240, 1667, 2899, 1017, 2682, 1026, 8542, 2909, 1141, 4046, 1278, 1026, 1592, 1060, 1681, 5330, 2605, 1160, 1096, 1059, 9548, 14015, 1620, 1160, 24890, 1058, 1006, 3010, 1076, 1096, 10105, 1072, 5239, 1009, 2373, 1491, 1014, 626, 1026, 1184, 1510, 13974, 1213, 1998, 25282, 1206, 5417, 1160, 1327, 1096, 25251, 1009, 22489, 5561, 4710, 1006, 1761, 12079, 1058, 1096, 1094, 2373, 30694, 8014, 626, 1251, 9176, 1206, 1475, 1525, 2856, 82, 1078, 17169, 1048, 5934, 1096, 1048, 1114, 7507, 1009, 1160, 6167, 1074, 1009, 30171, 4343, 1395, 3754, 1048, 1200, 2582, 1006, 1614, 25550, 1009, 1998, 25282, 1048, 1200, 2582, 1132, 23093, 7088, 1005, 2697, 1016, 1118, 1848, 1068, 2573, 6141, 1005, 1808, 1016, 2289, 3659, 1114, 2921, 2856, 7150, 17169, 1048, 2533, 14431, 3552, 27298, 4145, 14951, 3530, 7533, 1005, 1614, 1706, 3843, 1138, 1048, 2533, 14431, 1072, 8358, 4145, 14951, 2924, 1598, 1814, 1009, 2383, 6463, 20, 3204, 1096, 3330, 1054, 11200, 2871, 1009, 1487, 1206, 1782, 5219, 1006, 2921, 4783, 13152, 5937, 83, 2539, 4030, 7010, 5042, 1009, 8862, 1005, 2373, 17132, 4237, 1009, 13700, 626, 1005, 2373, 17132, 4237, 2730, 16811, 8226, 7496, 2374, 1307, 3469, 24044, 1048, 2093, 1040, 1080, 1053, 4387, 1005, 6118, 1667, 1063, 4556, 1096, 1048, 1006, 1030, 1065, 1145, 29683, 2246, 1006, 3271, 1365, 5184, 1049, 11411, 1206, 5711, 1006, 6622, 2064, 1076, 1357, 18723, 1377, 15369, 1294, 2373, 17132, 12815, 626, 23639, 1213, 9735, 2246, 8898, 1046, 3360, 1006, 15564, 1048, 2073, 1044, 7917, 1118, 1058, 1198, 1399, 2048, 1511, 5662, 1124, 2317, 1016, 2072, 1744, 79, 1019, 2447, 5, 2402, 71, 10828, 1029, 4507, 3989, 1782, 9350, 2457, 4229, 11425, 3949, 3093, 29, 1940, 2304, 1006, 5643, 1309, 15517, 1040, 11798, 11830, 8218, 1188, 1060, 3484, 20, 3953, 3581, 1507, 1343, 1106, 1837, 1675, 1646, 1005, 2449, 1083, 2835, 6302, 1603, 5525, 1068, 1063, 1998, 14428, 2143, 11273, 1054, 1487, 1646, 37, 1603, 5711, 1159, 1106, 17124, 1006, 1422, 1646, 4857, 11641, 3048, 1381, 1493, 5239, 1059, 4736, 2145, 2224, 9350, 2457, 4229, 12150, 4406, 3093, 30, 5, 2402, 71, 10828, 1029, 4507, 3989, 29253, 2304, 1006, 5643, 1309, 15517, 1040, 11798, 11830, 8218, 1188, 1060, 3484, 20, 3953, 3581, 1507, 1343, 1106, 1837, 1675, 1646, 1005, 2449, 1083, 2835, 6302, 1603, 5525, 1068, 1063, 1998, 14428, 2143, 11273, 1054, 1487, 1646, 37, 1603, 5711, 1159, 1106, 17124, 1006, 1422, 1646, 4857, 11641, 3048, 1381, 1493, 5239, 24755, 1616, 2449, 1006, 3754, 2156, 3469, 1059, 5056, 3953, 1006, 3653, 1009, 1083, 16798, 2135, 1083, 11273, 3482, 1089, 1048, 2177, 1493, 4417, 3062, 4537, 1800, 1043, 1006, 1871, 1159, 1026, 17764, 1325, 20, 2605, 1318, 2909, 1006, 3653, 1009, 1094, 19701, 10085, 1525, 1006, 1083, 16798, 2135, 1083, 4427, 1100, 25482, 1026, 5862, 1009, 7533, 1118, 1614, 25550, 1054, 1101, 1206, 1307, 7086, 1229, 5639, 1927, 1043, 3473, 26146, 1068, 2306, 3215, 1034, 7533, 1059, 4681, 2494, 2348, 1200, 3096, 1095, 1525, 1026, 4465, 1009, 5891, 1009, 7533, 1118, 1614, 25550, 21592, 1178, 5580, 2073, 1048, 4219, 1006, 4783, 1009, 16798, 1059, 1363, 1034, 1516, 1178, 8088, 14641, 1094, 1871, 1009, 26146, 1068, 1132, 23059, 1009, 8862, 13270, 20, 3316, 8545, 1096, 1026, 3177, 1233, 21599, 1140, 1063, 1160, 2593, 5321, 1068, 23059, 1106, 2663, 14870, 2118, 1349, 1058, 1044, 16798, 1048, 1160, 2374, 1063 ]

[ 92, 2216, 1403, 1323, 8, 4334, 3198, 1214, 3505, 1006, 4982, 1132, 9001, 2972, 3377, 22869, 2823, 23591, 2111, 1393, 6306, 13469, 25316, 21729, 16368, 1016, 1060, 5253, 1005, 1224, 18492, 1198, 1117, 19962, 1048, 2167, 7765, 1054, 31621, 1178, 1867, 1052, 1136, 1213, 22541, 4763, 11284, 1049, 2293, 1009, 15457, 1138, 22541, 3475, 1006, 22437, 12221, 1009, 15361, 17577, 1054, 7564, 1005, 7494, 4525, 8913, 1318, 1026, 21719, 1054, 2342, 1436, 7441, 1005, 2350, 5989, 19776, 11654, 79, 1068, 1531, 5328, 2754, 1783, 1049, 1908, 8447, 27656, 21533, 11733, 1072, 1502, 2874, 2037, 5255, 8348, 5162, 1048, 1846, 1058, 5255, 6802, 1159, 1026, 6023, 6109, 2881, 1024, 1106, 5990, 19074, 24389, 1026, 6615, 15665, 23873, 1018, 1005, 1026, 10311, 12467, 2673, 8877, 3915, 7976, 2081, 1094, 5042, 17890, 5949, 2013, 16134, 1006, 3940, 6954, 1070, 1019, 20443, 6285, 8, 1048, 3559, 79, 1026, 4792, 23879, 20, 1424, 3005, 1006, 4044, 7035, 1006, 5741, 1009, 2997, 21719, 1213, 4843, 19393, 1044, 1009, 1456, 3145, 1173, 1485, 10433, 4116, 7462, 1060, 2042, 1048, 1058, 9246, 1079, 1495, 12356, 1989, 1195, 1044, 1187, 6863, 1048, 2521, 1026, 22541, 4659, 1054, 24299, 1272, 1005, 11853, 2574, 1557, 1846, 5721, 1026, 13550, 1060, 14595, 15867, 1218, 1699, 5196, 1046, 1301, 7687, 1054, 2539, 13002, 1005, 1318, 1159, 18727, 1091, 7058, 14777, 20, 15957, 5738, 1836, 1072, 2293, 1009, 3030, 9656, 1157, 16291, 1072, 22541, 4763, 3801, 1511, 1044, 4472, 1029, 6369, 1026, 17256, 1005, 1026, 9121, 1006, 15617, 3138, 1026, 1502, 2874, 2037, 3987, 1472, 1114, 1641, 1009, 19503, 90, 2707, 1095, 14901, 1587, 1182, 2139, 1054, 26113, 1026, 22541, 2257, 1118, 17688, 2364, 24181, 1782, 18057, 1009, 4545, 1068, 4988, 1009, 6522, 1049, 4843, 2999, 24281, 5721, 1006, 3248, 1009, 15867, 1218, 1699, 1054, 24053, 1026, 22541, 3475, 1009, 6000, 1005, 11914, 2350, 26118, 13432, 20, 1063, 1224, 3808, 15617, 17572, 3164, 1009, 22289, 2039, 1435, 1495, 8067, 1159, 4843, 24503, 6304, 1005, 11518, 20, 1, 1766, 12070, 1009, 2266, 3634, 1178, 9309, 1463, 9255, 14139, 2429, 4769, 15010, 1206, 2328, 1049, 7793, 1457, 1052, 69, 1029, 86, 1468, 4736, 1020, 38, 5785, 1137, 1667, 16595, 25747, 1996, 1009, 5924, 1044, 5975, 1009, 3177, 1233, 21717, 1096, 2512, 1048, 1299, 8707, 1058, 1006, 4734, 23936, 1566, 1325, 5321, 1114, 8626, 1009, 5180, 15925, 3019, 2788, 1206, 1058, 1687, 1566, 1195, 8858, 1159, 3484, 1006, 1094, 2924, 7752, 1009, 2266, 5191, 8830, 2328, 1049, 6455, 5321, 3057, 13407, 1048, 1096, 24776, 1318, 1159, 1026, 1005, 4134, 3083, 2794, 5996, 22037, 1221, 1009, 16855, 1213, 14625, 30494, 2429, 4769, 8488, 17663, 1, 1505, 2345, 1498, 10535, 9062, 13222, 8260, 10913, 10280, 3528, 3825, 2735, 1153, 92, 2166, 16236, 12301, 9044, 7104, 28237, 1142, 8064, 1126, 9604, 85, 1420, 1005, 2955, 1229, 1026, 9192, 6969, 1096, 29966, 1890, 1307, 2250, 1006, 2323, 1049, 1831, 1531, 1060, 16251, 8734, 1009, 8108, 20, 1482, 3825, 2613, 1107, 95, 1685, 1026, 1901, 2017, 5090, 1072, 1831, 1531, 1060, 16251, 8734, 1009, 15457, 1776, 2268, 1026, 9192, 6969, 18415, 1291, 8294, 1049, 1908, 1009, 4599, 1206, 1060, 4599, 15961, 1145, 1271, 9913, 1505, 3018, 6352, 14127, 11635, 2314, 1005, 3745, 1095, 10958, 1907, 5323, 1202, 1072, 1852, 1009, 3030, 1206, 2738, 1009, 10658, 2277, 1026, 11769, 29574, 1930, 2097, 1048, 1132, 1030, 1316, 1095, 2314, 16944, 17653, 2916, 1009, 1044, 3681, 21142, 1071, 1785, 19684, 74, 5637, 1095, 15, 3316, 1271, 4029, 7066, 18384, 1072, 18415, 1876, 1030, 1316, 1095, 1577, 1096, 1006, 16908, 1049, 1901, 13438, 3806, 1009, 7365, 3144, 1, 1026, 3419, 1009, 14912, 5484, 1067, 2053, 4071, 44, 53, 4356, 1297, 4401, 30140, 1349, 8983, 1006, 6647, 1060, 10335, 13831, 1365, 1124, 31163, 1060, 9850, 1005, 1006, 31123, 27892, 11836, 1009, 1062, 3071, 20380, 18603, 1061, 2673, 30295, 1349, 9223, 1021, 1243, 1009, 1842, 1105, 9039, 3467, 27128, 8491, 1094, 23162, 2869, 1043, 1026, 3759, 88, 1627, 1043, 2306, 21635, 1044, 12659, 1049, 4995, 1898, 71, 3897, 7463, 4503, 132, 20252, 18735, 8933, 20240, 1349, 15723, 1239, 1114, 24891, 1009, 1842, 1105, 9039, 6202, 75, 6180, 1043, 1132, 1481, 1040, 1364, 1010, 1005, 1043, 1006, 26173, 2027, 1049, 3759, 7941, 5, 85, 3419, 1180, 145, 50, 8638, 3106, 1037, 3766, 15554, 1349, 1044, 3360, 9813, 6800, 18072, 1636, 1069, 1043, 1006, 1834, 1048, 1132, 4090, 14239, 1114, 24891, 1009, 1842, 1105, 1093, 1005, 1043, 1006, 15273, 1979, 1679, 1456, 1169, 5028, 1554, 4115, 10110, 1009, 12447, 2952, 1005, 1009, 1848, 3702, 1009, 3047, 28429, 20, 4116, 2729, 1060, 14686, 1126, 1096, 16691, 1048, 15665, 1096, 1026, 3419, 1009, 7494, 2942, 1005, 1842, 1105, 1093, 1048, 1264, 20086, 1006, 3391, 1382, 1005, 1633, 1041, 4588, 1068, 2837, 15562, 11836, 1009, 1106, 5881, 47, 5469, 162, 1167, 71, 1809, 1045, 9565, 1349, 29769, 17995, 27137, 1357, 4809, 1238, 11941, 1291, 1068, 1663, 1044, 6276, 1910, 17514, 1479, 1009, 12837, 1043, 3237, 18660, 2013, 25454, 1356, 14950, 18, 1048, 3010, 1006, 3675, 1802, 1063, 4809, 1765, 3988, 1048, 1006, 5380, 1058, 1765, 1811, 1324, 1309, 1687, 1096, 1494, 1065, 1140, 1898, 1010, 4090, 32, 6210, 20825, 1071, 20866, 4243, 13755, 85, 1349, 24866, 2657, 75, 2196, 3510, 1393, 1026, 5516, 1048, 16068, 1006, 26410, 1009, 18082, 3965, 2800, 11915, 18677, 1992, 1048, 4454, 1009, 3510, 1930, 3661, 1026, 7176, 1009, 8795, 1009, 1235, 1172, 1052, 1678, 1, 1675, 7363, 1436, 1322, 1026, 29777, 1631, 1048, 1298, 4480, 1124, 3680, 1576, 2713, 9535, 2860, 12113, 6793, 11137, 1005, 10482, 3727, 7447, 21, 3452, 1726, 24886, 4406, 19032, 22110, 1656, 1132, 5726, 1049, 29777, 1631, 1060, 2531, 1119, 1031, 13941, 1568, 1137, 2339, 12434, 1187, 4620, 9359, 1975, 1663, 1044, 4902, 1043, 2182, 3680, 1009, 22263, 11707, 1068, 18398, 3386, 1132, 1111, 9010, 7732, 2836, 1074, 8, 1049, 2121, 15904, 1138, 29714, 1048, 1195, 6342, 1072, 9318, 15337, 1409, 19896, 1453, 3127, 78, 1035, 1104, 1678, 7312, 2464, 1675, 3680, 1048, 12602, 1060, 2292, 22783, 1411, 6011, 5726, 2823, 5322, 24332, 1005, 26503, 1026, 1373, 162, 12214, 4564, 1413, 1239, 1077, 1026, 29777, 10835, 2097, 1124, 2089, 9930, 1058, 1786, 2644, 2799, 6144, 29588, 5010, 1138, 1592, 4902, 3330, 1043, 4031, 1005, 1160, 13494, 1054, 15259, 1857, 3701, 1412, 1048, 1657, 1786, 2644, 1044, 23156, 1026, 2405, 10635, 1049, 2121, 1385, 1533, 7779, 1048, 9415, 1026, 2859, 10966, 1006, 3780, 9923, 1048, 1026, 30280, 1547, 1631, 1049, 10720, 8, 3134, 25111, 1042, 5973, 20546, 1006, 16415, 15349, 1048, 2643, 6847, 1009, 26282, 11052, 83, 4255, 1074, 11198, 2502, 1890, 1124, 6298, 18844, 2100, 2034, 1579, 13375, 1048, 1225, 1058, 7874, 1069, 1495, 2276, 1327, 1006, 1009, 2071, 1026, 2121, 1385, 1068, 5055, 1024, 29588, 1708, 18844, 4398, 13148, 1094, 3610, 1009, 1150, 1785, 1397, 8, 1068, 1124, 3680, 28472, 1675, 7363, 1436, 1322, 1026, 30280, 1547, 1631, 1049, 10720, 8, 1898, 28, 1175, 1424, 1223, 1519, 19893, 1175, 4293, 1689, 9069, 17672, 1175, 4366, 21453, 1020, 14918, 1118, 16027, 3900, 23, 1175, 11063, 5169, 1605, 29777, 1631, 1096, 3201, 1318, 1118, 6809, 1146, 1385, 1009, 1080, 8370, 1406, 5083, 6542, 4625, 25631, 1005, 13907, 4613, 1009, 22731, 2100, 5024, 4796, 1096, 1026, 4654, 1056, 2796, 1093, 4105, 1093, 1041, 9039, 1, 1071, 3985, 1078, 13578, 15, 29002, 3435, 1049, 4583, 6041, 93, 3950, 1054, 1094, 1064, 4876, 1206, 6585, 7132, 1071, 3655, 21738, 15, 1175, 15367, 6425, 1031, 1175, 15302, 2963, 51, 1593, 1248, 5919, 23641, 1067, 3434, 2469, 9647, 19389, 4161, 1054, 15367, 6425, 1031, 1797, 3101, 2673, 1067, 3434, 1239, 1559, 6170, 1148, 2021, 13317, 54, 78, 6806, 5171, 2582, 1560, 18, 16546, 13168, 18, 1025, 16497, 19, 1444, 18, 11793, 43, 1037, 18, 12123, 1310, 1678, 5171, 19, 2036, 24801, 2995, 5385, 6849, 9470, 7470, 1418, 15617, 3138, 1026, 7835, 1221, 2340, 3702, 1503, 3241, 19992, 5501, 1026, 3407, 1049, 4583, 6041, 93, 3950, 1114, 1064, 4876, 22011, 1160, 3074, 20608, 8947, 1687, 1006, 1752, 1111, 11732, 1675, 31770, 6856, 4331, 1026, 2326, 1048, 3074, 2301, 1072, 1205, 9484, 29867, 1370, 1006, 3629, 1, 19058, 1358, 4429, 1243, 2817, 1026, 1184, 21315, 3421, 1032, 1348, 1049, 1784, 1467, 5681, 1060, 19058, 1358, 22829, 1252, 20755, 10932, 1054, 4429, 3478, 3765, 2738, 1233, 2935, 1049, 1184, 21315, 3421, 1032, 1348, 1006, 3319, 27949, 1424, 4639, 1009, 29766, 2094, 1026, 2017, 4168, 9459, 5114, 1009, 1128, 2048, 83, 20973, 6668, 1009, 1044, 17908, 30757, 4955, 23900, 1114, 4149, 16087, 9269, 1006, 23605, 47, 4955, 1114, 4149, 2916, 1009, 1158, 5272, 6481, 1114, 4709, 18209, 1006, 1712, 13657, 5178, 1009, 7581, 1100, 3649, 1005, 16899, 1048, 10416, 1054, 26021, 1365, 2322, 1006, 1578, 1009, 3261, 1059, 64, 7309, 54, 63, 15617, 1013, 5643, 1054, 15601, 1043, 2017, 6502, 1467, 2079, 7309, 54, 63, 11186, 1009, 15617, 3138, 1006, 1224, 5643, 1072, 18261, 15601, 7341, 3552, 2360, 7633, 1005, 1043, 1044, 3182, 1184, 12926, 1005, 22237, 1072, 10776, 20, 1063, 5643, 1325, 1049, 8576, 1009, 1044, 26732, 31316, 152, 1030, 2137, 5386, 18733, 1048, 1008, 25533, 23119, 8666, 5643, 3486, 1114, 6167, 1049, 4284, 1467, 4214, 7512, 1009, 7995, 2044, 1461, 8958, 1126, 25707, 1118, 29874, 1029, 1196, 16537, 1029, 16668, 18, 6695, 78, 8666, 5643, 3486, 1054, 17778, 3152, 1060, 1641, 1049, 4284, 20, 1138, 3489, 1096, 19077, 1006, 31146, 2590, 1060, 4214, 1005, 4537, 19007, 1013, 1539, 1027, 1060, 1128, 3690, 6346, 20, 8951, 8434, 1213, 8484, 9122, 1930, 24051, 25938, 1221, 1005, 6739, 1081, 31944, 1467, 10488, 1318, 6224, 1072, 8484, 1060, 8948, 2984, 2275, 2494, 2451, 1128, 3690, 6346, 20, 1009, 5745, 3047, 1009, 6564, 1029, 1031, 1627, 6471, 1371, 1026, 6102, 1213, 2195, 27280, 1009, 1910, 21821, 1068, 16958, 1726, 19517, 1271, 6437, 6852, 15257, 3226, 40, 1029, 4068, 17403, 19482, 1294, 1313, 28414, 1253, 18918, 11563, 4161, 1467, 7214, 4068, 17403, 1096, 1006, 3964, 2451, 7512, 19482, 1294, 1176, 20049, 6842, 9445, 28414, 1253, 18918, 11563, 2100, 19550, 1532, 22565, 1826, 1006, 5097, 30192, 1009, 1861, 1024, 1457, 3104, 7822, 51, 1082, 3452, 9949, 1006, 4447, 2648, 4678, 18412, 27, 6914, 1704, 2903, 17158, 1356, 5064, 1901, 10822, 1343, 1467, 23605, 5529, 1026, 1712, 8271, 1009, 1584, 9978, 7639, 1060, 5253, 1049, 19977, 10483, 1356, 5064, 1901, 10822, 4547, 3027, 2683, 1069, 1054, 3973, 1044, 7423, 1009, 5870, 1009, 1422, 2414, 27, 2744, 1009, 30733, 1026, 1048, 8987, 1044, 4465, 1009, 7583, 13070, 88, 2973, 9429, 17403, 15055, 9977, 2360, 6500, 1043, 3597, 16358, 1896, 5640, 1594, 2973, 9429, 17403, 11989, 2106, 4214, 1009, 5231, 1072, 6545, 1049, 16273, 9977, 1072, 3867, 1531, 2475, 1009, 3261, 1124, 1569, 10623, 1068, 1006, 2360, 1090, 2094, 1043, 3606, 3510, 1170, 1005, 1094, 8515, 1009, 1638, 3749, 79, 3827, 3226, 56, 26, 8792, 1061, 13317, 2293, 86, 1731, 1494, 1031, 1226, 3195, 1460, 1035, 1029, 8499, 1074, 1068, 2837, 15975, 3141, 26, 8792, 1061, 2223, 8974, 1058, 8561, 1026, 2743, 1048, 1006, 2293, 23205, 1324, 2451, 1009, 5745, 3047, 1009, 6564, 1029, 1031, 1627, 1325, 1006, 6537, 18, 14466, 1157, 3195, 1460, 1035, 1029, 8499, 1074, 1068, 7737, 15975, 5272, 1544, 14478, 1026, 2650, 1327, 16460, 3226, 44, 13731, 4046, 32, 22730, 7512, 1762, 1553, 1578, 2744, 1054, 10314, 1072, 8063, 1068, 2997, 12038, 1072, 3099, 8367, 1467, 7512, 1134, 13731, 4046, 18, 14853, 1054, 25466, 1233, 2068, 1009, 22730, 20137, 1233, 5660, 11289, 18, 3591, 1079, 1044, 6573, 1114, 4272, 1187, 1578, 2744, 1009, 11556, 3552, 2360, 10314, 1072, 8063, 20, 1138, 20520, 23232, 58, 58, 1942, 1046, 2017, 3159, 1009, 27915, 19511, 1068, 1132, 4620, 8539, 2181, 24, 51, 1802, 8974, 1058, 8561, 1026, 2017, 3159, 27915, 19511, 1048, 1132, 19958, 58, 20476, 20, 1424, 1026, 2017, 3159, 1566, 1096, 2481, 1663, 11455, 6857, 1054, 7458, 1048, 1160, 24404, 1365, 4369, 2979, 1187, 2138, 2365, 1060, 3432, 3336, 1, 2638, 12666, 1034, 1134, 5820, 1175, 3741, 3831, 14212, 21, 4503, 124, 50, 3726, 1175, 3316, 12905, 1322, 1764, 23637, 1061, 2673, 7536, 28943, 72, 1324, 5844, 22665, 1060, 2360, 29202, 1990, 4, 39, 2632, 18849, 8396, 27692, 2982, 47, 28197, 1383, 59, 3831, 14212, 21, 4503, 124, 50, 3726, 1175, 3316, 12905, 1322, 1764, 23637, 1061, 2673, 7536, 28943, 72, 1324, 5844, 22665, 1060, 2360, 29202, 1990, 12556, 11593, 1799, 9499, 3977, 27692, 124, 50, 3726, 3141, 4852, 3106, 19934, 1134, 5820, 15, 1479, 1551, 1799, 1006, 1782, 1009, 12020, 1132, 3167, 2477, 2314, 1060, 2332, 1139, 8386, 3361, 1046, 1054, 14844, 1072, 12333, 4594, 1060, 5033, 2242, 1126, 1094, 12905, 1009, 5364, 1322, 1764, 23637 ]

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

[ 92, 2216, 1403, 1323, 8, 4334, 3198, 1214, 3505, 1006, 4982, 1132, 9001, 2972, 3377, 22869, 2823, 23591, 2111, 1393, 6306, 13469, 25316, 21729, 16368, 1016, 1060, 5253, 1005, 1224, 18492, 1198, 1117, 19962, 1048, 2167, 7765, 1054, 31621, 1178, 1867, 1052, 1136, 1213, 22541, 4763, 11284, 1049, 2293, 1009, 15457, 1138, 22541, 3475, 1006, 22437, 12221, 1009, 15361, 17577, 1054, 7564, 1005, 7494, 4525, 8913, 1318, 1026, 21719, 1054, 2342, 1436, 7441, 1005, 2350, 5989, 19776, 11654, 79, 1068, 1531, 5328, 2754, 1783, 1049, 1908, 8447, 27656, 21533, 11733, 1072, 1502, 2874, 2037, 5255, 8348, 5162, 1048, 1846, 1058, 5255, 6802, 1159, 1026, 6023, 6109, 2881, 1024, 1106, 5990, 19074, 24389, 1026, 6615, 15665, 23873, 1018, 1005, 1026, 10311, 12467, 2673, 8877, 3915, 7976, 2081, 1094, 5042, 17890, 5949, 2013, 16134, 1006, 3940, 6954, 1070, 1019, 20443, 6285, 8, 1048, 3559, 79, 1026, 4792, 23879, 20, 1424, 3005, 1006, 4044, 7035, 1006, 5741, 1009, 2997, 21719, 1213, 4843, 19393, 1044, 1009, 1456, 3145, 1173, 1485, 10433, 4116, 7462, 1060, 2042, 1048, 1058, 9246, 1079, 1495, 12356, 1989, 1195, 1044, 1187, 6863, 1048, 2521, 1026, 22541, 4659, 1054, 24299, 1272, 1005, 11853, 2574, 1557, 1846, 5721, 1026, 13550, 1060, 14595, 15867, 1218, 1699, 5196, 1046, 1301, 7687, 1054, 2539, 13002, 1005, 1318, 1159, 18727, 1091, 7058, 14777, 20, 15957, 5738, 1836, 1072, 2293, 1009, 3030, 9656, 1157, 16291, 1072, 22541, 4763, 3801, 1511, 1044, 4472, 1029, 6369, 1026, 17256, 1005, 1026, 9121, 1006, 15617, 3138, 1026, 1502, 2874, 2037, 3987, 1472, 1114, 1641, 1009, 19503, 90, 2707, 1095, 14901, 1587, 1182, 2139, 1054, 26113, 1026, 22541, 2257, 1118, 17688, 2364, 24181, 1782, 18057, 1009, 4545, 1068, 4988, 1009, 6522, 1049, 4843, 2999, 24281, 5721, 1006, 3248, 1009, 15867, 1218, 1699, 1054, 24053, 1026, 22541, 3475, 1009, 6000, 1005, 11914, 2350, 26118, 13432, 20, 1063, 1224, 3808, 15617, 17572, 3164, 1009, 22289, 2039, 1435, 1495, 8067, 1159, 4843, 24503, 6304, 1005, 11518, 20, 1, 1766, 12070, 1009, 2266, 3634, 1178, 9309, 1463, 9255, 14139, 2429, 4769, 15010, 1206, 2328, 1049, 7793, 1457, 1052, 69, 1029, 86, 1468, 4736, 1020, 38, 5785, 1137, 1667, 16595, 25747, 1996, 1009, 5924, 1044, 5975, 1009, 3177, 1233, 21717, 1096, 2512, 1048, 1299, 8707, 1058, 1006, 4734, 23936, 1566, 1325, 5321, 1114, 8626, 1009, 5180, 15925, 3019, 2788, 1206, 1058, 1687, 1566, 1195, 8858, 1159, 3484, 1006, 1094, 2924, 7752, 1009, 2266, 5191, 8830, 2328, 1049, 6455, 5321, 3057, 13407, 1048, 1096, 24776, 1318, 1159, 1026, 1005, 4134, 3083, 2794, 5996, 22037, 1221, 1009, 16855, 1213, 14625, 30494, 2429, 4769, 8488, 17663, 1, 1505, 2345, 1498, 10535, 9062, 13222, 8260, 10913, 10280, 3528, 3825, 2735, 1153, 92, 2166, 16236, 12301, 9044, 7104, 28237, 1142, 8064, 1126, 9604, 85, 1420, 1005, 2955, 1229, 1026, 9192, 6969, 1096, 29966, 1890, 1307, 2250, 1006, 2323, 1049, 1831, 1531, 1060, 16251, 8734, 1009, 8108, 20, 1482, 3825, 2613, 1107, 95, 1685, 1026, 1901, 2017, 5090, 1072, 1831, 1531, 1060, 16251, 8734, 1009, 15457, 1776, 2268, 1026, 9192, 6969, 18415, 1291, 8294, 1049, 1908, 1009, 4599, 1206, 1060, 4599, 15961, 1145, 1271, 9913, 1505, 3018, 6352, 14127, 11635, 2314, 1005, 3745, 1095, 10958, 1907, 5323, 1202, 1072, 1852, 1009, 3030, 1206, 2738, 1009, 10658, 2277, 1026, 11769, 29574, 1930, 2097, 1048, 1132, 1030, 1316, 1095, 2314, 16944, 17653, 2916, 1009, 1044, 3681, 21142, 1071, 1785, 19684, 74, 5637, 1095, 15, 3316, 1271, 4029, 7066, 18384, 1072, 18415, 1876, 1030, 1316, 1095, 1577, 1096, 1006, 16908, 1049, 1901, 13438, 3806, 1009, 7365, 3144, 1, 1026, 3419, 1009, 14912, 5484, 1067, 2053, 4071, 44, 53, 4356, 1297, 4401, 30140, 1349, 8983, 1006, 6647, 1060, 10335, 13831, 1365, 1124, 31163, 1060, 9850, 1005, 1006, 31123, 27892, 11836, 1009, 1062, 3071, 20380, 18603, 1061, 2673, 30295, 1349, 9223, 1021, 1243, 1009, 1842, 1105, 9039, 3467, 27128, 8491, 1094, 23162, 2869, 1043, 1026, 3759, 88, 1627, 1043, 2306, 21635, 1044, 12659, 1049, 4995, 1898, 71, 3897, 7463, 4503, 132, 20252, 18735, 8933, 20240, 1349, 15723, 1239, 1114, 24891, 1009, 1842, 1105, 9039, 6202, 75, 6180, 1043, 1132, 1481, 1040, 1364, 1010, 1005, 1043, 1006, 26173, 2027, 1049, 3759, 7941, 5, 85, 3419, 1180, 145, 50, 8638, 3106, 1037, 3766, 15554, 1349, 1044, 3360, 9813, 6800, 18072, 1636, 1069, 1043, 1006, 1834, 1048, 1132, 4090, 14239, 1114, 24891, 1009, 1842, 1105, 1093, 1005, 1043, 1006, 15273, 1979, 1679, 1456, 1169, 5028, 1554, 4115, 10110, 1009, 12447, 2952, 1005, 1009, 1848, 3702, 1009, 3047, 28429, 20, 4116, 2729, 1060, 14686, 1126, 1096, 16691, 1048, 15665, 1096, 1026, 3419, 1009, 7494, 2942, 1005, 1842, 1105, 1093, 1048, 1264, 20086, 1006, 3391, 1382, 1005, 1633, 1041, 4588, 1068, 2837, 15562, 11836, 1009, 1106, 5881, 47, 5469, 162, 1167, 71, 1809, 1045, 9565, 1349, 29769, 17995, 27137, 1357, 4809, 1238, 11941, 1291, 1068, 1663, 1044, 6276, 1910, 17514, 1479, 1009, 12837, 1043, 3237, 18660, 2013, 25454, 1356, 14950, 18, 1048, 3010, 1006, 3675, 1802, 1063, 4809, 1765, 3988, 1048, 1006, 5380, 1058, 1765, 1811, 1324, 1309, 1687, 1096, 1494, 1065, 1140, 1898, 1010, 4090, 32, 6210, 20825, 1071, 20866, 4243, 13755, 85, 1349, 24866, 2657, 75, 2196, 3510, 1393, 1026, 5516, 1048, 16068, 1006, 26410, 1009, 18082, 3965, 2800, 11915, 18677, 1992, 1048, 4454, 1009, 3510, 1930, 3661, 1026, 7176, 1009, 8795, 1009, 1235, 1172, 1052, 1678, 1, 1675, 7363, 1436, 1322, 1026, 29777, 1631, 1048, 1298, 4480, 1124, 3680, 1576, 2713, 9535, 2860, 12113, 6793, 11137, 1005, 10482, 3727, 7447, 21, 3452, 1726, 24886, 4406, 19032, 22110, 1656, 1132, 5726, 1049, 29777, 1631, 1060, 2531, 1119, 1031, 13941, 1568, 1137, 2339, 12434, 1187, 4620, 9359, 1975, 1663, 1044, 4902, 1043, 2182, 3680, 1009, 22263, 11707, 1068, 18398, 3386, 1132, 1111, 9010, 7732, 2836, 1074, 8, 1049, 2121, 15904, 1138, 29714, 1048, 1195, 6342, 1072, 9318, 15337, 1409, 19896, 1453, 3127, 78, 1035, 1104, 1678, 7312, 2464, 1675, 3680, 1048, 12602, 1060, 2292, 22783, 1411, 6011, 5726, 2823, 5322, 24332, 1005, 26503, 1026, 1373, 162, 12214, 4564, 1413, 1239, 1077, 1026, 29777, 10835, 2097, 1124, 2089, 9930, 1058, 1786, 2644, 2799, 6144, 29588, 5010, 1138, 1592, 4902, 3330, 1043, 4031, 1005, 1160, 13494, 1054, 15259, 1857, 3701, 1412, 1048, 1657, 1786, 2644, 1044, 23156, 1026, 2405, 10635, 1049, 2121, 1385, 1533, 7779, 1048, 9415, 1026, 2859, 10966, 1006, 3780, 9923, 1048, 1026, 30280, 1547, 1631, 1049, 10720, 8, 3134, 25111, 1042, 5973, 20546, 1006, 16415, 15349, 1048, 2643, 6847, 1009, 26282, 11052, 83, 4255, 1074, 11198, 2502, 1890, 1124, 6298, 18844, 2100, 2034, 1579, 13375, 1048, 1225, 1058, 7874, 1069, 1495, 2276, 1327, 1006, 1009, 2071, 1026, 2121, 1385, 1068, 5055, 1024, 29588, 1708, 18844, 4398, 13148, 1094, 3610, 1009, 1150, 1785, 1397, 8, 1068, 1124, 3680, 28472, 1675, 7363, 1436, 1322, 1026, 30280, 1547, 1631, 1049, 10720, 8, 1898, 28, 1175, 1424, 1223, 1519, 19893, 1175, 4293, 1689, 9069, 17672, 1175, 4366, 21453, 1020, 14918, 1118, 16027, 3900, 23, 1175, 11063, 5169, 1605, 29777, 1631, 1096, 3201, 1318, 1118, 6809, 1146, 1385, 1009, 1080, 8370, 1406, 5083, 6542, 4625, 25631, 1005, 13907, 4613, 1009, 22731, 2100, 5024, 4796, 1096, 1026, 4654, 1056, 2796, 1093, 4105, 1093, 1041, 9039, 1, 1071, 3985, 1078, 13578, 15, 29002, 3435, 1049, 4583, 6041, 93, 3950, 1054, 1094, 1064, 4876, 1206, 6585, 7132, 1071, 3655, 21738, 15, 1175, 15367, 6425, 1031, 1175, 15302, 2963, 51, 1593, 1248, 5919, 23641, 1067, 3434, 2469, 9647, 19389, 4161, 1054, 15367, 6425, 1031, 1797, 3101, 2673, 1067, 3434, 1239, 1559, 6170, 1148, 2021, 13317, 54, 78, 6806, 5171, 2582, 1560, 18, 16546, 13168, 18, 1025, 16497, 19, 1444, 18, 11793, 43, 1037, 18, 12123, 1310, 1678, 5171, 19, 2036, 24801, 2995, 5385, 6849, 9470, 7470, 1418, 15617, 3138, 1026, 7835, 1221, 2340, 3702, 1503, 3241, 19992, 5501, 1026, 3407, 1049, 4583, 6041, 93, 3950, 1114, 1064, 4876, 22011, 1160, 3074, 20608, 8947, 1687, 1006, 1752, 1111, 11732, 1675, 31770, 6856, 4331, 1026, 2326, 1048, 3074, 2301, 1072, 1205, 9484, 29867, 1370, 1006, 3629, 1, 19058, 1358, 4429, 1243, 2817, 1026, 1184, 21315, 3421, 1032, 1348, 1049, 1784, 1467, 5681, 1060, 19058, 1358, 22829, 1252, 20755, 10932, 1054, 4429, 3478, 3765, 2738, 1233, 2935, 1049, 1184, 21315, 3421, 1032, 1348, 1006, 3319, 27949, 1424, 4639, 1009, 29766, 2094, 1026, 2017, 4168, 9459, 5114, 1009, 1128, 2048, 83, 20973, 6668, 1009, 1044, 17908, 30757, 4955, 23900, 1114, 4149, 16087, 9269, 1006, 23605, 47, 4955, 1114, 4149, 2916, 1009, 1158, 5272, 6481, 1114, 4709, 18209, 1006, 1712, 13657, 5178, 1009, 7581, 1100, 3649, 1005, 16899, 1048, 10416, 1054, 26021, 1365, 2322, 1006, 1578, 1009, 3261, 1059, 64, 7309, 54, 63, 15617, 1013, 5643, 1054, 15601, 1043, 2017, 6502, 1467, 2079, 7309, 54, 63, 11186, 1009, 15617, 3138, 1006, 1224, 5643, 1072, 18261, 15601, 7341, 3552, 2360, 7633, 1005, 1043, 1044, 3182, 1184, 12926, 1005, 22237, 1072, 10776, 20, 1063, 5643, 1325, 1049, 8576, 1009, 1044, 26732, 31316, 152, 1030, 2137, 5386, 18733, 1048, 1008, 25533, 23119, 8666, 5643, 3486, 1114, 6167, 1049, 4284, 1467, 4214, 7512, 1009, 7995, 2044, 1461, 8958, 1126, 25707, 1118, 29874, 1029, 1196, 16537, 1029, 16668, 18, 6695, 78, 8666, 5643, 3486, 1054, 17778, 3152, 1060, 1641, 1049, 4284, 20, 1138, 3489, 1096, 19077, 1006, 31146, 2590, 1060, 4214, 1005, 4537, 19007, 1013, 1539, 1027, 1060, 1128, 3690, 6346, 20, 8951, 8434, 1213, 8484, 9122, 1930, 24051, 25938, 1221, 1005, 6739, 1081, 31944, 1467, 10488, 1318, 6224, 1072, 8484, 1060, 8948, 2984, 2275, 2494, 2451, 1128, 3690, 6346, 20, 1009, 5745, 3047, 1009, 6564, 1029, 1031, 1627, 6471, 1371, 1026, 6102, 1213, 2195, 27280, 1009, 1910, 21821, 1068, 16958, 1726, 19517, 1271, 6437, 6852, 15257, 3226, 40, 1029, 4068, 17403, 19482, 1294, 1313, 28414, 1253, 18918, 11563, 4161, 1467, 7214, 4068, 17403, 1096, 1006, 3964, 2451, 7512, 19482, 1294, 1176, 20049, 6842, 9445, 28414, 1253, 18918, 11563, 2100, 19550, 1532, 22565, 1826, 1006, 5097, 30192, 1009, 1861, 1024, 1457, 3104, 7822, 51, 1082, 3452, 9949, 1006, 4447, 2648, 4678, 18412, 27, 6914, 1704, 2903, 17158, 1356, 5064, 1901, 10822, 1343, 1467, 23605, 5529, 1026, 1712, 8271, 1009, 1584, 9978, 7639, 1060, 5253, 1049, 19977, 10483, 1356, 5064, 1901, 10822, 4547, 3027, 2683, 1069, 1054, 3973, 1044, 7423, 1009, 5870, 1009, 1422, 2414, 27, 2744, 1009, 30733, 1026, 1048, 8987, 1044, 4465, 1009, 7583, 13070, 88, 2973, 9429, 17403, 15055, 9977, 2360, 6500, 1043, 3597, 16358, 1896, 5640, 1594, 2973, 9429, 17403, 11989, 2106, 4214, 1009, 5231, 1072, 6545, 1049, 16273, 9977, 1072, 3867, 1531, 2475, 1009, 3261, 1124, 1569, 10623, 1068, 1006, 2360, 1090, 2094, 1043, 3606, 3510, 1170, 1005, 1094, 8515, 1009, 1638, 3749, 79, 3827, 3226, 56, 26, 8792, 1061, 13317, 2293, 86, 1731, 1494, 1031, 1226, 3195, 1460, 1035, 1029, 8499, 1074, 1068, 2837, 15975, 3141, 26, 8792, 1061, 2223, 8974, 1058, 8561, 1026, 2743, 1048, 1006, 2293, 23205, 1324, 2451, 1009, 5745, 3047, 1009, 6564, 1029, 1031, 1627, 1325, 1006, 6537, 18, 14466, 1157, 3195, 1460, 1035, 1029, 8499, 1074, 1068, 7737, 15975, 5272, 1544, 14478, 1026, 2650, 1327, 16460, 3226, 44, 13731, 4046, 32, 22730, 7512, 1762, 1553, 1578, 2744, 1054, 10314, 1072, 8063, 1068, 2997, 12038, 1072, 3099, 8367, 1467, 7512, 1134, 13731, 4046, 18, 14853, 1054, 25466, 1233, 2068, 1009, 22730, 20137, 1233, 5660, 11289, 18, 3591, 1079, 1044, 6573, 1114, 4272, 1187, 1578, 2744, 1009, 11556, 3552, 2360, 10314, 1072, 8063, 20, 1138, 20520, 23232, 58, 58, 1942, 1046, 2017, 3159, 1009, 27915, 19511, 1068, 1132, 4620, 8539, 2181, 24, 51, 1802, 8974, 1058, 8561, 1026, 2017, 3159, 27915, 19511, 1048, 1132, 19958, 58, 20476, 20, 1424, 1026, 2017, 3159, 1566, 1096, 2481, 1663, 11455, 6857, 1054, 7458, 1048, 1160, 24404, 1365, 4369, 2979, 1187, 2138, 2365, 1060, 3432, 3336, 1, 2638, 12666, 1034, 1134, 5820, 1175, 3741, 3831, 14212, 21, 4503, 124, 50, 3726, 1175, 3316, 12905, 1322, 1764, 23637, 1061, 2673, 7536, 28943, 72, 1324, 5844, 22665, 1060, 2360, 29202, 1990, 4, 39, 2632, 18849, 8396, 27692, 2982, 47, 28197, 1383, 59, 3831, 14212, 21, 4503, 124, 50, 3726, 1175, 3316, 12905, 1322, 1764, 23637, 1061, 2673, 7536, 28943, 72, 1324, 5844, 22665, 1060, 2360, 29202, 1990, 12556, 11593, 1799, 9499, 3977, 27692, 124, 50, 3726, 3141, 4852, 3106, 19934, 1134, 5820, 15, 1479, 1551, 1799, 1006, 1782, 1009, 12020, 1132, 3167, 2477, 2314, 1060, 2332, 1139, 8386, 3361, 1046, 1054, 14844, 1072, 12333, 4594, 1060, 5033, 2242, 1126, 1094, 12905, 1009, 5364, 1322, 1764, 23637 ]

[ 1365, 1132, 28256, 1114, 3595, 1049, 4819, 1009, 7269, 1114, 24971, 4116, 2790, 1009, 19792, 1072, 29432, 14070, 1043, 1344, 1956, 150, 1005, 24557, 1810, 31152, 1026, 3509, 1150, 10561, 1905, 19991, 8, 1049, 3878, 1048, 19190, 1079, 1072, 3747, 5369, 1041, 1637, 1054, 2848, 1187, 3251, 3538, 1060, 16599, 2762, 25340, 8171, 1657, 1791, 7882, 1479, 1331, 1007, 17342, 1114, 4415, 1009, 25997, 1005, 5615, 1009, 1163, 5221, 1463, 31022, 1009, 16610, 8466, 5634, 1273, 7514, 1049, 4235, 1072, 13605, 1043, 1006, 4590, 1009, 2079, 1021, 1171, 1699, 2079, 1038, 1056, 1324, 1309, 1160, 7704, 4379, 1006, 18971, 1060, 2759, 1009, 2422, 2515, 1845, 9348, 1118, 1083, 1006, 1559, 1068, 1132, 16815, 8171, 1026, 3810, 2666, 1060, 3964, 3595, 1049, 4819, 1048, 25340, 14914, 1213, 2729, 1009, 1224, 24102, 1, 1063, 6935, 1009, 14694, 13730, 1244, 3458, 1984, 27713, 3057, 8733, 9108, 1349, 1114, 1712, 26283, 1213, 4241, 1583, 19, 25521, 9181, 1072, 5449, 2271, 1026, 2738, 1187, 16131, 1054, 30998, 1054, 3370, 1049, 1901, 4995, 1611, 6279, 1132, 2500, 1402, 1118, 14644, 1009, 1058, 3332, 7142, 1054, 29198, 4407, 29720, 1826, 1026, 11054, 1049, 5428, 7945, 1007, 2528, 7612, 2152, 1324, 1799, 2081, 1026, 6972, 1889, 1009, 7271, 22397, 1142, 7866, 1779, 2081, 1005, 1006, 4472, 2352, 4012, 3013, 1005, 30632, 28153, 1144, 15902, 1779, 2084, 2277, 6768, 5629, 1005, 1009, 7471, 1009, 19658, 1377, 2366, 13639, 1060, 2248, 1126, 2152, 4000, 1941, 1021, 20422, 24185, 1005, 7828, 4472, 2352, 4012, 1544, 1596, 1465, 1229, 2966, 1132, 27713, 17923, 6929, 10935, 6053, 3755, 19, 20333, 1005, 17652, 4000, 11651, 6301, 16131, 1048, 25322, 1006, 4472, 1399, 4391, 4866, 1961, 7439, 2744, 1726, 4268, 1365, 3370, 1009, 4229, 1005, 2992, 3019, 4183, 5588, 1159, 1026, 9678, 1026, 2364, 11892, 1069, 2743, 1048, 4099, 7594, 1026, 12054, 1009, 19683, 1068, 4207, 6052, 1166, 1114, 5310, 28836, 6301, 23170, 1009, 26150, 1327, 9943, 1184, 25234, 1010, 1005, 1043, 2444, 24697, 1154, 1294, 5684, 1054, 2869, 1679, 1009, 14694, 13730, 18, 1048, 12045, 2112, 1009, 3822, 6685, 1054, 2869, 1213, 5428, 6930, 7407, 1534, 1026, 4248, 1124, 14766, 7949, 1006, 7243, 16721, 1118, 16126, 14418, 1072, 5449, 23120, 11806, 1550, 5476, 1005, 8274, 4345, 1049, 2490, 30079, 1060, 3722, 1357, 1588, 24436, 613, 8254, 29876, 1009, 8733, 13876, 1986, 2539, 3952, 1009, 16633, 17582, 1054, 2191, 1006, 1094, 18430, 1187, 16131, 3121, 1233, 7967, 1009, 12523, 1845, 5612, 3013, 28994, 28644, 1082, 1100, 1048, 1160, 1195, 2500, 2154, 1973, 1048, 1026, 2671, 1009, 14694, 13730, 18, 5672, 1069, 1357, 25679, 20551, 1868, 3575, 1142, 5984, 1325, 4619, 25590, 1094, 9883, 1009, 8359, 1114, 1641, 2855, 15398, 1826, 3748, 1026, 2481, 1068, 3689, 11655, 1787, 1005, 11186, 1043, 1006, 8797, 1406, 4979, 1082, 1100, 11430, 1371, 1318, 1726, 6283, 31717, 1009, 3042, 25711, 1114, 1428, 7769, 1583, 19, 25521, 9181, 23009, 8402, 1026, 1622, 1009, 1050, 2526, 1114, 25706, 2386, 2338, 2201, 29333, 1060, 6935, 1009, 14694, 13730, 18, 15867, 1313, 1253, 19, 4075, 1973, 1233, 8324, 1048, 2322, 1783, 1043, 22263, 1365, 2978, 1005, 26156, 1596, 23343, 1288, 20119, 1009, 12228, 1005, 6098, 1009, 1150, 7965, 1245, 4407, 29720, 8, 1294, 2250, 1578, 1009, 12364, 1083, 0, 1005, 1158, 1009, 3268, 1049, 1901, 16326, 5552, 1022, 3352, 14624, 1273, 1026, 5449, 2569, 16131, 3056, 1005, 3746, 1361, 3375, 17304, 1187, 2322, 1318, 1596, 12478, 1118, 14866, 12100, 8317, 1160, 2566, 9784, 1294, 2250, 2595, 1009, 3042, 1005, 1204, 1009, 12020, 16469, 1006, 5548, 1009, 14694, 13730, 1845, 3164, 1060, 7245, 1325, 13538, 1068, 1578, 1009, 12397, 1309, 15867, 10657, 1079, 1048, 1184, 29876, 1693, 1178, 18247, 1728, 8144, 1187, 2500, 1402, 3057, 8733, 1596, 1054, 9033, 1638, 2184, 1986, 2533, 3890, 1033, 4909, 1845, 3199, 1224, 21289, 1288, 1033, 4909, 1072, 8733, 1233, 3232, 14503, 16680, 2386, 1349, 7612, 10935, 1973, 1048, 1160, 1058, 7555, 1292, 3458, 1009, 1569, 3540, 20, 15888, 1079, 23069, 1009, 1261, 1006, 7788, 1009, 21776, 2930, 3439, 1060, 14418, 1043, 1132, 19729, 5162, 1009, 14694, 13730, 1406, 1973, 11249, 2034, 7129, 1009, 14694, 13730, 28679, 1975, 1184, 1009, 10723, 22257, 1783, 1118, 13609, 1294, 12230, 1229, 2966, 2739, 1118, 14644, 1009, 13021, 1326, 1229, 1026, 1048, 1298, 4480, 1006, 22500, 1009, 6862, 1009, 1495, 2256, 4844, 3885, 1325, 5573, 18508, 4313, 1826, 1288, 3156, 22454, 4964, 1044, 6840, 2127, 6342, 1114, 9710, 2149, 16936, 2125, 1187, 3145, 21351, 1009, 14694, 13730, 10680, 1233, 9394, 1009, 4816, 1587, 23438, 1048, 1006, 11468, 1049, 2380, 11477, 1060, 1641, 1325, 1288, 6147, 1060, 8369, 1049, 5428, 19554, 1054, 26150, 2338, 8678, 16827, 3335, 3698, 1412, 11530, 1325, 13552, 1118, 1224, 18618, 13922, 19, 1399, 4391, 4866, 1961, 14694, 13730, 12161, 1213, 3603, 1009, 26150, 1054, 8379, 1288, 1006, 11480, 13408, 6402, 1791, 5061, 1406, 1048, 8944, 3322, 1016, 5551, 17831, 1160, 27386, 1312, 1357, 5310, 28836, 1005, 1044, 3910, 8167, 1009, 15109, 7366, 7129, 1049, 2671, 1005, 1009, 3227, 1009, 14694, 13730, 23808, 1975, 7889, 2350, 1271, 3540, 1049, 4241, 31556, 1159, 10947, 1213, 8359, 5120, 1068, 3689, 4125, 3606, 8533, 1009, 3227, 18047, 1, 1138, 6483, 6007, 10039, 1134, 9322, 22683, 15, 1919, 1048, 2569, 2824, 9884, 23243, 5822, 1069, 1009, 1235, 1638, 1136, 1118, 4497, 1060, 11304, 2112, 28394, 7111, 71, 22551, 1060, 1844, 0, 20221, 1062, 1519, 1009, 8750, 1845, 14928, 1713, 17687, 1026, 5975, 1060, 5978, 1009, 8528, 23139, 2796, 3814, 1068, 1048, 1751, 1049, 10511, 1009, 1134, 9322, 4219, 1008, 1771, 1905, 1068, 1039, 1698, 22426, 1480, 3704, 1097, 1065, 3411, 1049, 4472, 1131, 27184, 1356, 6307, 4562, 20, 10855, 150, 1195, 5822, 1069, 15273, 25484, 1006, 21009, 2444, 1044, 10999, 12151, 4054, 1006, 1834, 1406, 1973, 1026, 13639, 20, 8528, 28754, 1134, 9322, 1009, 6825, 1717, 1264, 1094, 2700, 1009, 4816, 26081, 1114, 22608, 1482, 1094, 26059, 1026, 6483, 29785, 1577, 4064, 1006, 22439, 1006, 23139, 2796, 3814, 1006, 2511, 26852, 14232, 1903, 1136, 2655, 1034, 1096, 1094, 4884, 8937, 1054, 4320, 5715, 1009, 8574, 3414, 1031, 1349, 1210, 24337, 1096, 1026, 1235, 26067, 626, 1845, 7922, 17384, 3179, 2256, 1910, 4303, 2147, 1005, 1184, 1009, 6013, 2621, 1910, 11296, 5006, 2247, 1009, 2916, 1009, 30098, 5812, 20, 1063, 7565, 18, 2277, 8528, 23139, 2796, 95, 1678, 12457, 1195, 24799, 1236, 1118, 11249, 4634, 1063, 5829, 3765, 14428, 1009, 3865, 1213, 4472, 1131, 2171, 1599, 1005, 1134, 9322, 1195, 14613, 1006, 6622, 1006, 1264, 26622, 1118, 8016, 3396, 3150, 2951, 7565, 1195, 6754, 1043, 1006, 13496, 1009, 1591, 6692, 8528, 23139, 2796, 95, 1678, 10298, 1114, 4668, 31201, 4405, 1026, 9151, 1009, 2476, 22622, 1118, 28577, 11864, 1043, 1124, 10017, 1009, 1903, 1136, 2655, 1034, 1406, 4979, 1006, 11304, 2112, 29338, 4264, 1020, 1108, 15920, 1009, 30299, 3979, 3158, 25338, 1026, 9495, 10859, 5209, 1187, 5751, 13314, 2469, 1048, 5759, 25620, 2528, 4979, 1114, 9209, 1060, 15415, 1048, 8701, 6483, 8528, 23139, 2796, 3814, 1096, 1044, 1026, 16643, 5098, 1005, 17283, 1616, 2730, 3061, 1066, 2100, 3943, 11230, 20587, 1195, 6715, 1068, 1044, 3124, 5098, 2855, 1, 1424, 1044, 4526, 1009, 2058, 1005, 1184, 1009, 18520, 2556, 1010, 1005, 30184, 1006, 1429, 1013, 1889, 1717, 1026, 6615, 1009, 1764, 4989, 3381, 1119, 2165, 22683, 1349, 1005, 1054, 3790, 1213, 2670, 14900, 9581, 18100, 6387, 1349, 3057, 8733, 9108, 1349, 23620, 12522, 1005, 22130, 3803, 26533, 25209, 4261, 8631, 7107, 2241, 1026, 21783, 2097, 1734, 2168, 16309, 1026, 21868, 1049, 2191, 20, 22893, 2306, 1173, 11206, 1117, 15953, 1005, 2468, 13345, 5552, 19874, 11967, 1079, 7198, 15953, 26503, 1026, 20386, 1009, 2058, 20, 28242, 9055, 2116, 3144, 15560, 1784, 1114, 18683, 19257, 1235, 6545, 1406, 9410, 1044, 6744, 31619, 15926, 3622, 7994, 3352, 1054, 2476, 22622, 1213, 20067, 2829, 1345, 2162, 1312, 2691, 1080, 3789, 2227, 1005, 2309, 25226, 1072, 20386, 2338, 20067, 1096, 1717, 1124, 5567, 1009, 14735, 12524, 1312, 1356, 29785, 1577, 1068, 11526, 1006, 7967, 1009, 12523, 20, 2494, 5261, 13328, 1349, 1119, 2165, 6139, 1048, 1006, 25508, 1937, 1195, 17893, 19063, 1495, 1782, 1009, 2436, 2855, 44, 5696, 1119, 2165, 1406, 28844, 1292, 22295, 1119, 2165, 8, 1005, 7311, 2843, 85, 14994, 8, 18818, 2241, 11730, 1727, 1294, 17317, 9680, 2247, 1009, 6809, 5696, 17446, 2100, 2494, 9707, 14256, 1349, 9581, 28754, 1026, 2670, 1060, 21360, 10866, 17446, 4334, 4212, 5705, 28758, 1009, 28433, 88, 1068, 13064, 4882, 19601, 7041, 1005, 13564, 3312, 1648, 12070, 1009, 11061, 5051, 20, 1776, 20386, 1009, 26375, 7720, 1989, 9568, 1160, 1195, 10403, 4457, 46, 11525, 1657, 1094, 3907, 1009, 12663, 1667, 4733, 1808, 3890, 1006, 11669, 1072, 14207, 17531, 1049, 8441, 1350, 18037, 12433, 1726, 21881, 16054, 1005, 1289, 7142, 2309, 18651, 13764, 1132, 6744, 5600, 1009, 8006, 1005, 16604, 1005, 1043, 24236, 1049, 3878, 1068, 1202, 1132, 7041, 1114, 1801, 20, 9623, 1118, 2922, 1271, 1984, 11154, 7366, 1783, 2054, 1975, 1187, 7041, 1005, 2556, 1229, 1005, 1006, 1429, 1013, 1889, 4857, 1006, 1074, 1009, 15580, 1009, 6586, 1356, 8330, 1060, 28496, 22893, 18250, 4372, 1009, 1783, 1054, 6019, 1049, 20386, 1009, 26375, 2739, 1305, 10593, 1711, 1441, 3016, 2448, 9343, 1554, 140, 84, 7656, 1005, 1734, 7471, 8097, 12478, 1114, 1050, 2275, 1766, 7041, 1198, 2655, 1239, 2502, 30017, 2271, 1006, 1134, 2401, 86, 1495, 1026, 2822, 1049, 25544, 14845, 26518, 2156, 1206, 2125, 8696, 1060, 27418, 2154, 7008, 1132, 21154, 1009, 8880, 1054, 2088, 20768, 1534, 2096, 1076, 1060, 6068, 26583, 1006, 1429, 1013, 11824, 1048, 1318, 2569, 1006, 4281, 1009, 1184, 1009, 3886, 25513, 1213, 2729, 1060, 6849, 9952, 26343, 1157, 1006, 1801, 20, 9623, 1294, 1791, 1786, 7425, 1505, 2922, 1009, 20763, 16054, 8419, 6884, 1006, 21883, 1008, 11048, 123, 9342, 1132, 22764, 2054, 1975, 1006, 6586, 1060, 21313, 3803, 22893, 21721, 1370, 1005, 1086, 4392, 1009, 6809, 5696, 9581, 8, 1054, 3484, 4964, 6347, 7457, 1236, 1114, 3232, 3019, 12693, 1026, 2671, 1009, 1764, 2434, 1919, 1048, 15303, 1546, 1222, 1026, 3282, 1233, 4458, 6744, 2762, 1309, 15408, 1893, 1048, 1687, 2374, 1006, 3653, 1009, 1094, 7967, 1048, 1566, 1795, 3205, 1495, 1026, 5847, 1844, 12730, 1783, 1072, 2497, 2100, 5284, 1026, 12694, 7349, 6389, 1060, 25508, 1937, 1096, 6740, 1068, 1048, 1026, 2380, 1009, 2926, 1043, 2901, 1006, 9183, 1009, 7213, 1005, 1160, 21607, 11085, 1620, 1184, 11342, 29647, 1063, 4375, 12978, 15999, 1026, 1680, 1184, 1581, 14737, 1048, 1096, 1006, 8150, 1138, 2671, 1225, 16225, 1026, 7228, 1043, 1006, 2779, 1005, 1043, 1132, 11130, 1949, 4547, 1009, 6545, 1005, 3140, 1005, 2155, 5177, 1339, 4882, 1068, 3023, 88, 1044, 4367, 1009, 3597, 1009, 15617, 17572, 1271, 3638, 1006, 1178, 31745, 1992, 1048, 1234, 2481, 29082, 2671, 7263, 3315, 1126, 10204, 1048, 1150, 6614, 20420, 1184, 1009, 2824, 1675, 2704, 2744, 1054, 19493, 21811, 3259, 1068, 10760, 1124, 3235, 1006, 9775, 3890, 1006, 6647, 1005, 21258, 28788, 1726, 3235, 2064, 28423, 1049, 22357, 14845, 1048, 9870, 5633, 8671, 1009, 6653, 2250, 1068, 6622, 1026, 29600, 3121, 2100, 14864, 6849, 1026, 6615, 3381, 1119, 2165, 18374, 1054, 3444, 9226, 1048, 1150, 1736, 1174, 1780, 1161, 1006, 3653, 1049, 12523, 16884, 1159, 7355, 1009, 1718, 28751, 1026, 2011, 1009, 4085, 1009, 9436, 1048, 11640, 13552, 1068, 9153, 10034, 2100, 52, 1016, 4928, 10349, 11460, 1049, 20067, 3326, 1412, 1026, 3124, 1009, 1006, 1429, 1013, 11824, 1043, 18532, 1005, 1080, 3789, 7278, 1261, 4995, 1118, 14387, 10947, 1006, 10637, 5048, 2494, 1801, 20, 11967, 1079, 7198, 1006, 1429, 1013, 1889, 3475, 1356, 7590, 1271, 18652, 6997, 5011, 1114, 26325, 2793, 4958, 1213, 7590, 3584, 22396, 1683, 4285, 1013, 1005, 1207, 30694, 1845, 4840, 14419, 1009, 21776, 1006, 28418, 1453, 18523, 5425, 1006, 11295, 1338, 1214, 1140, 1005, 1006, 19874, 3404, 1009, 2613, 2037, 1195, 20691, 1657, 1118, 1044, 2417, 4863, 1009, 30184, 1048, 1058, 31406, 1079, 1060, 1429, 1013, 1889, 2751, 21993, 2417, 1318, 3475, 1118, 1213, 2444, 2848, 3056, 17655, 1114, 1801, 20, 3404, 1009, 2613, 4475, 1505, 2922, 1271, 2182, 2975, 1857, 1058, 6919, 9446, 1233, 1801, 20, 2976, 7407, 1138, 20067, 2476, 2509, 1026, 4241, 1049, 3810, 8733, 2149, 11913, 1511, 22764, 1318, 16795, 1202, 3328, 1009, 1764, 2434, 13930, 1006, 4701, 1009, 1119, 2165, 20, 5153, 1132, 2067, 5157, 1124, 1429, 1013, 7225, 16884, 1009, 1871, 20445, 12991, 1005, 4114, 1711, 12677, 1837, 8369, 5864, 20, 4501, 8262, 1043, 7328, 1009, 21898, 1026, 9989, 22887, 1587, 1453, 4576, 1307, 2443, 1096, 1044, 1187, 31401, 1060, 1429, 1013, 10402, 8, 5796, 17152, 2739, 1783, 1005, 8717, 14151, 20, 3953, 23280, 1009, 2451, 1005, 2449, 1048 ]

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

[ 1365, 1132, 28256, 1114, 3595, 1049, 4819, 1009, 7269, 1114, 24971, 4116, 2790, 1009, 19792, 1072, 29432, 14070, 1043, 1344, 1956, 150, 1005, 24557, 1810, 31152, 1026, 3509, 1150, 10561, 1905, 19991, 8, 1049, 3878, 1048, 19190, 1079, 1072, 3747, 5369, 1041, 1637, 1054, 2848, 1187, 3251, 3538, 1060, 16599, 2762, 25340, 8171, 1657, 1791, 7882, 1479, 1331, 1007, 17342, 1114, 4415, 1009, 25997, 1005, 5615, 1009, 1163, 5221, 1463, 31022, 1009, 16610, 8466, 5634, 1273, 7514, 1049, 4235, 1072, 13605, 1043, 1006, 4590, 1009, 2079, 1021, 1171, 1699, 2079, 1038, 1056, 1324, 1309, 1160, 7704, 4379, 1006, 18971, 1060, 2759, 1009, 2422, 2515, 1845, 9348, 1118, 1083, 1006, 1559, 1068, 1132, 16815, 8171, 1026, 3810, 2666, 1060, 3964, 3595, 1049, 4819, 1048, 25340, 14914, 1213, 2729, 1009, 1224, 24102, 1, 1063, 6935, 1009, 14694, 13730, 1244, 3458, 1984, 27713, 3057, 8733, 9108, 1349, 1114, 1712, 26283, 1213, 4241, 1583, 19, 25521, 9181, 1072, 5449, 2271, 1026, 2738, 1187, 16131, 1054, 30998, 1054, 3370, 1049, 1901, 4995, 1611, 6279, 1132, 2500, 1402, 1118, 14644, 1009, 1058, 3332, 7142, 1054, 29198, 4407, 29720, 1826, 1026, 11054, 1049, 5428, 7945, 1007, 2528, 7612, 2152, 1324, 1799, 2081, 1026, 6972, 1889, 1009, 7271, 22397, 1142, 7866, 1779, 2081, 1005, 1006, 4472, 2352, 4012, 3013, 1005, 30632, 28153, 1144, 15902, 1779, 2084, 2277, 6768, 5629, 1005, 1009, 7471, 1009, 19658, 1377, 2366, 13639, 1060, 2248, 1126, 2152, 4000, 1941, 1021, 20422, 24185, 1005, 7828, 4472, 2352, 4012, 1544, 1596, 1465, 1229, 2966, 1132, 27713, 17923, 6929, 10935, 6053, 3755, 19, 20333, 1005, 17652, 4000, 11651, 6301, 16131, 1048, 25322, 1006, 4472, 1399, 4391, 4866, 1961, 7439, 2744, 1726, 4268, 1365, 3370, 1009, 4229, 1005, 2992, 3019, 4183, 5588, 1159, 1026, 9678, 1026, 2364, 11892, 1069, 2743, 1048, 4099, 7594, 1026, 12054, 1009, 19683, 1068, 4207, 6052, 1166, 1114, 5310, 28836, 6301, 23170, 1009, 26150, 1327, 9943, 1184, 25234, 1010, 1005, 1043, 2444, 24697, 1154, 1294, 5684, 1054, 2869, 1679, 1009, 14694, 13730, 18, 1048, 12045, 2112, 1009, 3822, 6685, 1054, 2869, 1213, 5428, 6930, 7407, 1534, 1026, 4248, 1124, 14766, 7949, 1006, 7243, 16721, 1118, 16126, 14418, 1072, 5449, 23120, 11806, 1550, 5476, 1005, 8274, 4345, 1049, 2490, 30079, 1060, 3722, 1357, 1588, 24436, 613, 8254, 29876, 1009, 8733, 13876, 1986, 2539, 3952, 1009, 16633, 17582, 1054, 2191, 1006, 1094, 18430, 1187, 16131, 3121, 1233, 7967, 1009, 12523, 1845, 5612, 3013, 28994, 28644, 1082, 1100, 1048, 1160, 1195, 2500, 2154, 1973, 1048, 1026, 2671, 1009, 14694, 13730, 18, 5672, 1069, 1357, 25679, 20551, 1868, 3575, 1142, 5984, 1325, 4619, 25590, 1094, 9883, 1009, 8359, 1114, 1641, 2855, 15398, 1826, 3748, 1026, 2481, 1068, 3689, 11655, 1787, 1005, 11186, 1043, 1006, 8797, 1406, 4979, 1082, 1100, 11430, 1371, 1318, 1726, 6283, 31717, 1009, 3042, 25711, 1114, 1428, 7769, 1583, 19, 25521, 9181, 23009, 8402, 1026, 1622, 1009, 1050, 2526, 1114, 25706, 2386, 2338, 2201, 29333, 1060, 6935, 1009, 14694, 13730, 18, 15867, 1313, 1253, 19, 4075, 1973, 1233, 8324, 1048, 2322, 1783, 1043, 22263, 1365, 2978, 1005, 26156, 1596, 23343, 1288, 20119, 1009, 12228, 1005, 6098, 1009, 1150, 7965, 1245, 4407, 29720, 8, 1294, 2250, 1578, 1009, 12364, 1083, 0, 1005, 1158, 1009, 3268, 1049, 1901, 16326, 5552, 1022, 3352, 14624, 1273, 1026, 5449, 2569, 16131, 3056, 1005, 3746, 1361, 3375, 17304, 1187, 2322, 1318, 1596, 12478, 1118, 14866, 12100, 8317, 1160, 2566, 9784, 1294, 2250, 2595, 1009, 3042, 1005, 1204, 1009, 12020, 16469, 1006, 5548, 1009, 14694, 13730, 1845, 3164, 1060, 7245, 1325, 13538, 1068, 1578, 1009, 12397, 1309, 15867, 10657, 1079, 1048, 1184, 29876, 1693, 1178, 18247, 1728, 8144, 1187, 2500, 1402, 3057, 8733, 1596, 1054, 9033, 1638, 2184, 1986, 2533, 3890, 1033, 4909, 1845, 3199, 1224, 21289, 1288, 1033, 4909, 1072, 8733, 1233, 3232, 14503, 16680, 2386, 1349, 7612, 10935, 1973, 1048, 1160, 1058, 7555, 1292, 3458, 1009, 1569, 3540, 20, 15888, 1079, 23069, 1009, 1261, 1006, 7788, 1009, 21776, 2930, 3439, 1060, 14418, 1043, 1132, 19729, 5162, 1009, 14694, 13730, 1406, 1973, 11249, 2034, 7129, 1009, 14694, 13730, 28679, 1975, 1184, 1009, 10723, 22257, 1783, 1118, 13609, 1294, 12230, 1229, 2966, 2739, 1118, 14644, 1009, 13021, 1326, 1229, 1026, 1048, 1298, 4480, 1006, 22500, 1009, 6862, 1009, 1495, 2256, 4844, 3885, 1325, 5573, 18508, 4313, 1826, 1288, 3156, 22454, 4964, 1044, 6840, 2127, 6342, 1114, 9710, 2149, 16936, 2125, 1187, 3145, 21351, 1009, 14694, 13730, 10680, 1233, 9394, 1009, 4816, 1587, 23438, 1048, 1006, 11468, 1049, 2380, 11477, 1060, 1641, 1325, 1288, 6147, 1060, 8369, 1049, 5428, 19554, 1054, 26150, 2338, 8678, 16827, 3335, 3698, 1412, 11530, 1325, 13552, 1118, 1224, 18618, 13922, 19, 1399, 4391, 4866, 1961, 14694, 13730, 12161, 1213, 3603, 1009, 26150, 1054, 8379, 1288, 1006, 11480, 13408, 6402, 1791, 5061, 1406, 1048, 8944, 3322, 1016, 5551, 17831, 1160, 27386, 1312, 1357, 5310, 28836, 1005, 1044, 3910, 8167, 1009, 15109, 7366, 7129, 1049, 2671, 1005, 1009, 3227, 1009, 14694, 13730, 23808, 1975, 7889, 2350, 1271, 3540, 1049, 4241, 31556, 1159, 10947, 1213, 8359, 5120, 1068, 3689, 4125, 3606, 8533, 1009, 3227, 18047, 1, 1138, 6483, 6007, 10039, 1134, 9322, 22683, 15, 1919, 1048, 2569, 2824, 9884, 23243, 5822, 1069, 1009, 1235, 1638, 1136, 1118, 4497, 1060, 11304, 2112, 28394, 7111, 71, 22551, 1060, 1844, 0, 20221, 1062, 1519, 1009, 8750, 1845, 14928, 1713, 17687, 1026, 5975, 1060, 5978, 1009, 8528, 23139, 2796, 3814, 1068, 1048, 1751, 1049, 10511, 1009, 1134, 9322, 4219, 1008, 1771, 1905, 1068, 1039, 1698, 22426, 1480, 3704, 1097, 1065, 3411, 1049, 4472, 1131, 27184, 1356, 6307, 4562, 20, 10855, 150, 1195, 5822, 1069, 15273, 25484, 1006, 21009, 2444, 1044, 10999, 12151, 4054, 1006, 1834, 1406, 1973, 1026, 13639, 20, 8528, 28754, 1134, 9322, 1009, 6825, 1717, 1264, 1094, 2700, 1009, 4816, 26081, 1114, 22608, 1482, 1094, 26059, 1026, 6483, 29785, 1577, 4064, 1006, 22439, 1006, 23139, 2796, 3814, 1006, 2511, 26852, 14232, 1903, 1136, 2655, 1034, 1096, 1094, 4884, 8937, 1054, 4320, 5715, 1009, 8574, 3414, 1031, 1349, 1210, 24337, 1096, 1026, 1235, 26067, 626, 1845, 7922, 17384, 3179, 2256, 1910, 4303, 2147, 1005, 1184, 1009, 6013, 2621, 1910, 11296, 5006, 2247, 1009, 2916, 1009, 30098, 5812, 20, 1063, 7565, 18, 2277, 8528, 23139, 2796, 95, 1678, 12457, 1195, 24799, 1236, 1118, 11249, 4634, 1063, 5829, 3765, 14428, 1009, 3865, 1213, 4472, 1131, 2171, 1599, 1005, 1134, 9322, 1195, 14613, 1006, 6622, 1006, 1264, 26622, 1118, 8016, 3396, 3150, 2951, 7565, 1195, 6754, 1043, 1006, 13496, 1009, 1591, 6692, 8528, 23139, 2796, 95, 1678, 10298, 1114, 4668, 31201, 4405, 1026, 9151, 1009, 2476, 22622, 1118, 28577, 11864, 1043, 1124, 10017, 1009, 1903, 1136, 2655, 1034, 1406, 4979, 1006, 11304, 2112, 29338, 4264, 1020, 1108, 15920, 1009, 30299, 3979, 3158, 25338, 1026, 9495, 10859, 5209, 1187, 5751, 13314, 2469, 1048, 5759, 25620, 2528, 4979, 1114, 9209, 1060, 15415, 1048, 8701, 6483, 8528, 23139, 2796, 3814, 1096, 1044, 1026, 16643, 5098, 1005, 17283, 1616, 2730, 3061, 1066, 2100, 3943, 11230, 20587, 1195, 6715, 1068, 1044, 3124, 5098, 2855, 1, 1424, 1044, 4526, 1009, 2058, 1005, 1184, 1009, 18520, 2556, 1010, 1005, 30184, 1006, 1429, 1013, 1889, 1717, 1026, 6615, 1009, 1764, 4989, 3381, 1119, 2165, 22683, 1349, 1005, 1054, 3790, 1213, 2670, 14900, 9581, 18100, 6387, 1349, 3057, 8733, 9108, 1349, 23620, 12522, 1005, 22130, 3803, 26533, 25209, 4261, 8631, 7107, 2241, 1026, 21783, 2097, 1734, 2168, 16309, 1026, 21868, 1049, 2191, 20, 22893, 2306, 1173, 11206, 1117, 15953, 1005, 2468, 13345, 5552, 19874, 11967, 1079, 7198, 15953, 26503, 1026, 20386, 1009, 2058, 20, 28242, 9055, 2116, 3144, 15560, 1784, 1114, 18683, 19257, 1235, 6545, 1406, 9410, 1044, 6744, 31619, 15926, 3622, 7994, 3352, 1054, 2476, 22622, 1213, 20067, 2829, 1345, 2162, 1312, 2691, 1080, 3789, 2227, 1005, 2309, 25226, 1072, 20386, 2338, 20067, 1096, 1717, 1124, 5567, 1009, 14735, 12524, 1312, 1356, 29785, 1577, 1068, 11526, 1006, 7967, 1009, 12523, 20, 2494, 5261, 13328, 1349, 1119, 2165, 6139, 1048, 1006, 25508, 1937, 1195, 17893, 19063, 1495, 1782, 1009, 2436, 2855, 44, 5696, 1119, 2165, 1406, 28844, 1292, 22295, 1119, 2165, 8, 1005, 7311, 2843, 85, 14994, 8, 18818, 2241, 11730, 1727, 1294, 17317, 9680, 2247, 1009, 6809, 5696, 17446, 2100, 2494, 9707, 14256, 1349, 9581, 28754, 1026, 2670, 1060, 21360, 10866, 17446, 4334, 4212, 5705, 28758, 1009, 28433, 88, 1068, 13064, 4882, 19601, 7041, 1005, 13564, 3312, 1648, 12070, 1009, 11061, 5051, 20, 1776, 20386, 1009, 26375, 7720, 1989, 9568, 1160, 1195, 10403, 4457, 46, 11525, 1657, 1094, 3907, 1009, 12663, 1667, 4733, 1808, 3890, 1006, 11669, 1072, 14207, 17531, 1049, 8441, 1350, 18037, 12433, 1726, 21881, 16054, 1005, 1289, 7142, 2309, 18651, 13764, 1132, 6744, 5600, 1009, 8006, 1005, 16604, 1005, 1043, 24236, 1049, 3878, 1068, 1202, 1132, 7041, 1114, 1801, 20, 9623, 1118, 2922, 1271, 1984, 11154, 7366, 1783, 2054, 1975, 1187, 7041, 1005, 2556, 1229, 1005, 1006, 1429, 1013, 1889, 4857, 1006, 1074, 1009, 15580, 1009, 6586, 1356, 8330, 1060, 28496, 22893, 18250, 4372, 1009, 1783, 1054, 6019, 1049, 20386, 1009, 26375, 2739, 1305, 10593, 1711, 1441, 3016, 2448, 9343, 1554, 140, 84, 7656, 1005, 1734, 7471, 8097, 12478, 1114, 1050, 2275, 1766, 7041, 1198, 2655, 1239, 2502, 30017, 2271, 1006, 1134, 2401, 86, 1495, 1026, 2822, 1049, 25544, 14845, 26518, 2156, 1206, 2125, 8696, 1060, 27418, 2154, 7008, 1132, 21154, 1009, 8880, 1054, 2088, 20768, 1534, 2096, 1076, 1060, 6068, 26583, 1006, 1429, 1013, 11824, 1048, 1318, 2569, 1006, 4281, 1009, 1184, 1009, 3886, 25513, 1213, 2729, 1060, 6849, 9952, 26343, 1157, 1006, 1801, 20, 9623, 1294, 1791, 1786, 7425, 1505, 2922, 1009, 20763, 16054, 8419, 6884, 1006, 21883, 1008, 11048, 123, 9342, 1132, 22764, 2054, 1975, 1006, 6586, 1060, 21313, 3803, 22893, 21721, 1370, 1005, 1086, 4392, 1009, 6809, 5696, 9581, 8, 1054, 3484, 4964, 6347, 7457, 1236, 1114, 3232, 3019, 12693, 1026, 2671, 1009, 1764, 2434, 1919, 1048, 15303, 1546, 1222, 1026, 3282, 1233, 4458, 6744, 2762, 1309, 15408, 1893, 1048, 1687, 2374, 1006, 3653, 1009, 1094, 7967, 1048, 1566, 1795, 3205, 1495, 1026, 5847, 1844, 12730, 1783, 1072, 2497, 2100, 5284, 1026, 12694, 7349, 6389, 1060, 25508, 1937, 1096, 6740, 1068, 1048, 1026, 2380, 1009, 2926, 1043, 2901, 1006, 9183, 1009, 7213, 1005, 1160, 21607, 11085, 1620, 1184, 11342, 29647, 1063, 4375, 12978, 15999, 1026, 1680, 1184, 1581, 14737, 1048, 1096, 1006, 8150, 1138, 2671, 1225, 16225, 1026, 7228, 1043, 1006, 2779, 1005, 1043, 1132, 11130, 1949, 4547, 1009, 6545, 1005, 3140, 1005, 2155, 5177, 1339, 4882, 1068, 3023, 88, 1044, 4367, 1009, 3597, 1009, 15617, 17572, 1271, 3638, 1006, 1178, 31745, 1992, 1048, 1234, 2481, 29082, 2671, 7263, 3315, 1126, 10204, 1048, 1150, 6614, 20420, 1184, 1009, 2824, 1675, 2704, 2744, 1054, 19493, 21811, 3259, 1068, 10760, 1124, 3235, 1006, 9775, 3890, 1006, 6647, 1005, 21258, 28788, 1726, 3235, 2064, 28423, 1049, 22357, 14845, 1048, 9870, 5633, 8671, 1009, 6653, 2250, 1068, 6622, 1026, 29600, 3121, 2100, 14864, 6849, 1026, 6615, 3381, 1119, 2165, 18374, 1054, 3444, 9226, 1048, 1150, 1736, 1174, 1780, 1161, 1006, 3653, 1049, 12523, 16884, 1159, 7355, 1009, 1718, 28751, 1026, 2011, 1009, 4085, 1009, 9436, 1048, 11640, 13552, 1068, 9153, 10034, 2100, 52, 1016, 4928, 10349, 11460, 1049, 20067, 3326, 1412, 1026, 3124, 1009, 1006, 1429, 1013, 11824, 1043, 18532, 1005, 1080, 3789, 7278, 1261, 4995, 1118, 14387, 10947, 1006, 10637, 5048, 2494, 1801, 20, 11967, 1079, 7198, 1006, 1429, 1013, 1889, 3475, 1356, 7590, 1271, 18652, 6997, 5011, 1114, 26325, 2793, 4958, 1213, 7590, 3584, 22396, 1683, 4285, 1013, 1005, 1207, 30694, 1845, 4840, 14419, 1009, 21776, 1006, 28418, 1453, 18523, 5425, 1006, 11295, 1338, 1214, 1140, 1005, 1006, 19874, 3404, 1009, 2613, 2037, 1195, 20691, 1657, 1118, 1044, 2417, 4863, 1009, 30184, 1048, 1058, 31406, 1079, 1060, 1429, 1013, 1889, 2751, 21993, 2417, 1318, 3475, 1118, 1213, 2444, 2848, 3056, 17655, 1114, 1801, 20, 3404, 1009, 2613, 4475, 1505, 2922, 1271, 2182, 2975, 1857, 1058, 6919, 9446, 1233, 1801, 20, 2976, 7407, 1138, 20067, 2476, 2509, 1026, 4241, 1049, 3810, 8733, 2149, 11913, 1511, 22764, 1318, 16795, 1202, 3328, 1009, 1764, 2434, 13930, 1006, 4701, 1009, 1119, 2165, 20, 5153, 1132, 2067, 5157, 1124, 1429, 1013, 7225, 16884, 1009, 1871, 20445, 12991, 1005, 4114, 1711, 12677, 1837, 8369, 5864, 20, 4501, 8262, 1043, 7328, 1009, 21898, 1026, 9989, 22887, 1587, 1453, 4576, 1307, 2443, 1096, 1044, 1187, 31401, 1060, 1429, 1013, 10402, 8, 5796, 17152, 2739, 1783, 1005, 8717, 14151, 20, 3953, 23280, 1009, 2451, 1005, 2449, 1048 ]

[ 1060, 1224, 1834, 10303, 18, 2047, 1202, 1114, 7299, 1060, 1134, 5071, 1159, 5200, 1097, 7332, 1009, 6962, 11141, 2358, 14345, 1026, 6872, 1049, 1594, 1060, 1134, 5071, 1225, 2350, 1054, 2497, 1009, 10354, 1048, 1327, 3321, 1580, 1294, 21855, 6536, 1554, 4501, 9168, 1048, 6546, 1801, 1129, 5268, 1327, 1271, 14598, 1048, 3460, 3140, 3967, 1412, 1233, 1134, 5071, 1005, 1233, 1144, 1112, 28098, 5490, 11744, 1026, 5862, 1060, 3578, 1049, 12091, 1202, 1024, 1213, 3311, 1009, 4207, 1026, 1668, 1047, 1049, 3790, 4240, 6567, 3867, 1726, 9109, 27579, 20851, 1312, 1054, 6442, 20, 7038, 1202, 1463, 23196, 4034, 1005, 1294, 12189, 1400, 3552, 4180, 27632, 7016, 19228, 1054, 14096, 1209, 1080, 2570, 1391, 9440, 1653, 2682, 1493, 13528, 8815, 1005, 2247, 1049, 1184, 2072, 23789, 1365, 24836, 14327, 1801, 1129, 5268, 1160, 1693, 2340, 1169, 4023, 1024, 1124, 8098, 14711, 1005, 26805, 12897, 1060, 6365, 1060, 1063, 1785, 7863, 1, 21015, 1152, 9947, 2787, 2642, 75, 1038, 1759, 7393, 18558, 1026, 1048, 1837, 1009, 1853, 1114, 2423, 14762, 9947, 2787, 2642, 75, 14722, 2364, 13404, 2122, 2042, 1072, 4299, 1048, 8666, 1124, 8434, 1068, 1235, 2017, 24727, 11883, 10119, 4438, 96, 2652, 1776, 20345, 26370, 1060, 2360, 6697, 1005, 26370, 1566, 18401, 1166, 1060, 3028, 8322, 13136, 1680, 29767, 1114, 4005, 9948, 1060, 7197, 1005, 1294, 3044, 1010, 25197, 1009, 17175, 2152, 1330, 2586, 16102, 31649, 10767, 1005, 20446, 7974, 1363, 2613, 4475, 3423, 1049, 20345, 1049, 12930, 1006, 7197, 1005, 3688, 12071, 5706, 1124, 8804, 1048, 6470, 1751, 1009, 1224, 8211, 21163, 1179, 4358, 3381, 19058, 3426, 3237, 168, 30492, 1005, 1734, 3056, 5169, 1327, 29767, 1356, 4478, 5721, 5625, 21895, 2565, 1026, 2011, 4277, 1160, 1657, 1124, 6815, 1060, 7197, 1463, 8804, 1159, 1318, 1026, 7794, 1010, 1876, 1187, 13588, 1048, 1006, 4089, 1046, 1704, 2417, 1048, 7505, 3994, 2271, 1026, 1749, 1047, 1049, 6730, 1325, 1215, 1209, 1069, 1005, 12317, 14424, 13288, 1365, 9496, 1005, 15515, 1048, 9491, 1040, 7005, 10119, 4438, 16241, 1006, 2220, 2999, 21549, 1060, 3593, 2423, 5092, 4355, 2795, 1047, 22099, 1898, 52, 11165, 1054, 1764, 2434, 9535, 1047, 22099, 2845, 1006, 3194, 1024, 115, 1117, 1357, 2423, 1679, 1782, 4844, 1482, 8379, 7717, 1456, 5364, 1114, 2828, 13293, 1009, 11686, 5122, 7946, 2334, 1571, 12081, 10544, 1411, 28771, 2042, 1060, 8483, 9484, 4884, 1009, 9150, 1100, 27462, 1005, 22720, 1582, 20, 1587, 22809, 5278, 1043, 4306, 4440, 1005, 6353, 11037, 22747, 5122, 7946, 2334, 1067, 1127, 1027, 30492, 20446, 7974, 1363, 2613, 2037, 8266, 6484, 1106, 1398, 1258, 1226, 96, 5121, 8658, 2343, 4719, 1134, 1342, 1005, 3237, 168, 14563, 3482, 22580, 32, 14796, 19160, 15366, 27737, 8767, 8520, 2673, 5101, 3141, 8179, 15934, 79, 31428, 5188, 1291, 9110, 1356, 7478, 12, 58, 1005, 1357, 1228, 50, 51, 5122, 7946, 1053, 1225, 1159, 2751, 6640, 1026, 26834, 1005, 1006, 11686, 6164, 20, 7906, 1079, 1043, 1132, 4496, 26007, 32, 16779, 1423, 1868, 3222, 1126, 3236, 4243, 10874, 17272, 71, 1134, 24711, 2196, 3968, 1423, 1062, 3998, 18, 6643, 6065, 9596, 31165, 1187, 9562, 1063, 16104, 4611, 1529, 95, 4611, 1529, 95, 1005, 1006, 17068, 7204, 5122, 83, 3965, 13694, 1096, 4868, 1356, 7478, 12, 58, 1005, 9392, 1072, 2417, 4285, 2483, 12926, 3141, 1185, 2297, 7974, 1363, 8819, 28342, 7545, 1079, 1006, 11518, 1009, 2423, 1114, 8305, 3083, 3642, 54, 1005, 24190, 1108, 75, 14231, 1409, 7411, 20, 1482, 12535, 24901, 1054, 14844, 2247, 1009, 15414, 1005, 31743, 1054, 4440, 1009, 26903, 5121, 6580, 1271, 15414, 1009, 1138, 6218, 2989, 85, 6053, 76, 1027, 6297, 5621, 2865, 1043, 13890, 1043, 1632, 1022, 1177, 7056, 56, 1070, 12433, 27265, 1045, 8191, 1722, 3529, 20712, 3854, 1041, 1803, 2878, 76, 4787, 21737, 1005, 23229, 18783, 4247, 1189, 81, 1219, 20, 2800, 9171, 6321, 1456, 14832, 1062, 1074, 8140, 18, 29109, 1005, 4438, 16241, 1060, 13803, 3482, 22580, 32, 10167, 10076, 1252, 1363, 1183, 1047, 2592, 3576, 1021, 31649, 10767, 1898, 60, 2839, 1081, 3382, 7073, 88, 3382, 9171, 1005, 8088, 80, 3858, 16102, 31649, 10767, 3134, 19745, 1054, 2423, 1357, 26685, 1005, 1566, 7217, 1235, 2011, 1072, 3878, 2138, 2365, 1005, 18104, 5621, 2865, 1043, 1924, 1253, 1126, 8291, 6624, 3247, 1672, 24829, 12203, 4243, 12412, 2339, 2045, 85, 1009, 2529, 6420, 16374, 1207, 24599, 10974, 2882, 8382, 14900, 24453, 1766, 23699, 1810, 1049, 2358, 6315, 1081, 1005, 11136, 11805, 6424, 88, 13626, 25736, 6720, 1049, 2956, 1009, 1764, 2434, 1565, 2494, 2423, 30121, 10083, 1213, 2790, 1009, 4510, 2903, 1528, 26834, 4158, 1105, 1119, 4550, 4852, 8266, 6484, 4356, 15642, 1349, 6208, 1047, 5196, 83, 19263, 1207, 1669, 1136, 1049, 8277, 18, 4660, 19193, 3285, 1785, 1163, 168, 1400, 19528, 2538, 1130, 1177, 18624, 16102, 31649, 13698, 3926, 5542, 1810, 5827, 1005, 1144, 1051, 159, 1106, 5188, 3382, 1365, 9918, 11828, 1026, 2417, 1060, 7197, 19323, 1163, 168, 1400, 1049, 24944, 7378, 1551, 2976, 1126, 15143, 1956, 23186, 48, 9711, 9550, 7388, 18, 11006, 12033, 16367, 17054, 10039, 24571, 1047, 19436, 2526, 1005, 1026, 21685, 1049, 1717, 13094, 1291, 20446, 7974, 1363, 2613, 2037, 1043, 2306, 1058, 7217, 1072, 8908, 2751, 1049, 6682, 4594, 1009, 26834, 1009, 15009, 19315, 14601, 2013, 1044, 1187, 8813, 1049, 2417, 1344, 92, 1930, 1571, 7584, 1235, 20345, 7318, 5972, 7302, 5804, 1225, 10937, 1009, 4711, 1068, 1026, 2277, 14299, 1009, 14793, 1, 14251, 3446, 1955, 9152, 1152, 1138, 1048, 1096, 1006, 31771, 1040, 7300, 1049, 19630, 37, 11591, 37, 2013, 1094, 9525, 37, 3316, 4208, 1245, 1342, 37, 2858, 17503, 14280, 1009, 1025, 22353, 1104, 7316, 37, 8399, 10660, 14413, 26055, 1308, 8997, 22, 1999, 20390, 1726, 28309, 13690, 6416, 1393, 1006, 6141, 1114, 31771, 1040, 7300, 1049, 19630, 1005, 3442, 3877, 6027, 13284, 7565, 22509, 1006, 1338, 1029, 9113, 7349, 3248, 1009, 1044, 2792, 1096, 1094, 13615, 21872, 1006, 3248, 1009, 1044, 9557, 1096, 1094, 27273, 2100, 12171, 1221, 1072, 2822, 9390, 76, 4835, 1371, 1026, 9179, 1054, 2252, 1124, 11688, 18, 1233, 8559, 1060, 12541, 1060, 1142, 20692, 1043, 1094, 3080, 1239, 9013, 1049, 19630, 1294, 1176, 20049, 1184, 22670, 1087, 1402, 1005, 1094, 3080, 1239, 9013, 1049, 4284, 1072, 18661, 91, 8, 2208, 76, 27294, 1006, 3845, 1076, 1231, 31445, 1009, 7706, 3590, 1780, 1200, 3096, 1095, 5160, 1006, 1150, 1208, 2051, 7300, 8, 1049, 19630, 3449, 1184, 1094, 9273, 1049, 1048, 1044, 7276, 1801, 1265, 1029, 8341, 1972, 2306, 23976, 1646, 1005, 1646, 1233, 5195, 16597, 2073, 1600, 1162, 1371, 1066, 29340, 1006, 25194, 1005, 2306, 18, 1890, 5224, 2864, 1998, 1043, 1418, 1427, 1095, 1025, 1560, 1081, 1160, 1058, 13724, 71, 8273, 1679, 5635, 1009, 5716, 1016, 3928, 1170, 22311, 1036, 1435, 32, 1026, 19630, 1225, 3412, 1188, 1005, 1026, 4284, 1225, 8630, 9242, 5653, 1616, 8134, 2643, 1006, 5223, 1009, 1033, 1218, 1154, 1005, 1734, 1009, 13971, 1324, 1620, 2464, 1184, 16269, 2444, 16269, 6583, 1043, 1188, 1026, 1592, 22517, 10188, 1118, 3018, 1124, 9107, 32, 1114, 12541, 1009, 8258, 4284, 1005, 19630, 4651, 1412, 1026, 1592, 2285, 1009, 2173, 2565, 2125, 33, 1114, 12541, 1060, 1142, 20692, 1026, 19630, 14914, 3251, 11275, 1489, 1079, 2252, 15, 1005, 1026, 4284, 14914, 2125, 30790, 10116, 2252, 1565, 4378, 1096, 1006, 3964, 5173, 1054, 1048, 1837, 1094, 5864, 31771, 1040, 7300, 1009, 1044, 17926, 8261, 1118, 1058, 9149, 1060, 12541, 1060, 1142, 20692, 1096, 8937, 1048, 1132, 30368, 1071, 22915, 9408, 1132, 1049, 4284, 15, 1556, 91, 1656, 2089, 16647, 1068, 1026, 3558, 1660, 32, 1006, 1187, 24773, 28461, 1005, 1006, 1271, 11688, 26752, 12334, 21027, 18, 3701, 18409, 1094, 3525, 3276, 6658, 1005, 29947, 1096, 1009, 30154, 1024, 1006, 1572, 12204, 1009, 3326, 1544, 1049, 4718, 6120, 1049, 4284, 1072, 5239, 1009, 26465, 1006, 5253, 1159, 1026, 1968, 1343, 1184, 15376, 1629, 1060, 18492, 3246, 4136, 16075, 4284, 1620, 4713, 4537, 1118, 2125, 2624, 1679, 12569, 1179, 1229, 2097, 1026, 19630, 1998, 3475, 1006, 4415, 1009, 4440, 1184, 1094, 16991, 2494, 6254, 11229, 2247, 1271, 2156, 2173, 2565, 1026, 19630, 4064, 1094, 1472, 1726, 25420, 2132, 6493, 1005, 2924, 1679, 12272, 28940, 1453, 3414, 7393, 1846, 1009, 11506, 1060, 9956, 89, 1565, 1138, 16273, 2247, 1060, 27727, 9564, 2156, 2624, 1294, 2256, 1993, 1020, 1801, 1010, 1005, 1094, 1294, 12272, 28940, 1453, 3414, 7393, 1846, 1009, 11506, 1060, 9956, 1678, 1043, 8559, 1049, 25601, 1054, 4127, 15, 28592, 2247, 1060, 29608, 1837, 1044, 2120, 2300, 11780, 32, 1072, 13605, 3443, 1100, 1006, 9013, 1049, 4284, 1225, 2281, 16935, 3013, 1704, 2863, 1068, 1026, 4284, 1096, 1048, 1006, 16081, 83, 6579, 1294, 24773, 28461, 1160, 1058, 1225, 22986, 1054, 2833, 9680, 3048, 1225, 5225, 1188, 1026, 19630, 1009, 1132, 4311, 3144, 1482, 2848, 1271, 9078, 2256, 5713, 1273, 2966, 1006, 4180, 1054, 22418, 1044, 1187, 8521, 4857, 1132, 1791, 3538, 1068, 1026, 7248, 32, 1054, 3837, 8674, 1026, 4284, 1195, 12347, 1627, 1054, 4053, 9457, 1026, 19630, 1195, 12347, 1627, 1309, 1054, 4210, 21, 3487, 1124, 2156, 11753, 1049, 4284, 1160, 9686, 1068, 10889, 1026, 3479, 20, 1084, 1668, 4183, 1846, 1009, 2156, 30024, 1620, 1325, 1006, 2848, 3328, 1049, 19630, 9346, 5655, 2481, 1096, 1006, 1009, 1048, 1132, 3538, 1365, 1132, 1791, 8521, 1160, 1327, 3188, 1727, 1068, 1026, 7374, 22408, 1049, 7248, 20, 1603, 9427, 3982, 1206, 1058, 18965, 1094, 10893, 10603, 1072, 7223, 2909, 1026, 4284, 1006, 1261, 3251, 7268, 6977, 1026, 3019, 4183, 8651, 4234, 1565, 2605, 1026, 1048, 1006, 1598, 1038, 1629, 9013, 1049, 4284, 1294, 24773, 28461, 1318, 16875, 1096, 1048, 1026, 4346, 6658, 1005, 6548, 2598, 15566, 5680, 3538, 1009, 17492, 1714, 7743, 20, 2656, 1096, 1048, 1026, 19630, 1026, 6337, 2731, 1309, 1006, 5939, 1096, 17168, 1766, 4731, 1049, 4284, 18413, 1043, 1006, 20806, 1055, 1009, 1048, 1094, 9348, 1160, 10985, 2177, 20250, 1140, 1005, 1009, 1048, 1094, 4744, 5348, 1053, 5694, 13825, 1506, 15, 1664, 1132, 6886, 1166, 1049, 16326, 5011, 1132, 4731, 1049, 19630, 18413, 1043, 1094, 16582, 1009, 22793, 1149, 1006, 3372, 1439, 16288, 1322, 1124, 26108, 5436, 2921, 16582, 1048, 3372, 1007, 1322, 1132, 30368, 15, 1005, 1043, 1006, 20806, 1055, 12621, 1278, 7760, 1296, 21218, 1009, 1048, 1160, 2177, 1094, 9348, 1006, 1090, 1007, 1645, 16288, 1006, 4180, 1058, 1846, 2167, 7142, 1178, 18026, 20, 2013, 1159, 1058, 1026, 4284, 1756, 1993, 2289, 1068, 2453, 1009, 3428, 1479, 1132, 2125, 12625, 1026, 6330, 4075, 1006, 2042, 1005, 1071, 2758, 2016, 1309, 1096, 1592, 1992, 15, 1006, 2706, 1009, 20994, 1213, 12044, 1479, 1005, 1026, 19630, 1657, 1124, 7685, 1049, 7248, 3482, 168, 2237, 11589, 7845, 1094, 24496, 1149, 2072, 1807, 1365, 24773, 28461, 1005, 3770, 4999, 5048, 1766, 9524, 76, 3434, 1573, 1160, 3417, 1027, 1009, 7208, 3138, 1213, 1419, 1026, 2751, 17882, 1006, 21194, 1439, 1371, 1006, 7363, 1436, 9190, 2012, 1479, 1159, 1044, 7433, 1006, 8147, 1054, 12249, 1048, 2155, 24750, 9423, 1752, 1472, 2444, 4412, 1479, 1068, 5200, 5188, 1006, 17360, 1049, 4758, 1049, 19630, 1294, 4679, 1646, 1005, 1049, 24106, 1006, 1044, 9179, 1009, 11262, 1006, 1048, 1566, 1160, 1836, 13724, 2270, 8335, 2643, 1009, 28915, 1048, 5587, 18207, 1305, 2997, 7349, 8, 11957, 1019, 1140, 1213, 1807, 15058, 6733, 6185, 10278, 9441, 1385, 1009, 1160, 1058, 1261, 3330, 1026, 2011, 1495, 1213, 2822, 18115, 15825, 1717, 1026, 4341, 1820, 1126, 1026, 4284, 1050, 1553, 1026, 1211, 2024, 1009, 1086, 3691, 1071, 5052, 3057, 6204, 1096, 1026, 3124, 3752, 3829, 1066, 15, 1005, 4277, 1006, 1224, 1853, 10764, 22913, 30368, 5584, 1573, 24945, 1027, 1048, 1096, 1006, 7472, 2317, 1324, 1309, 1543, 22924, 1213, 2729, 1060, 7475, 1058, 5662, 1006, 8817, 1006, 6534, 1043, 1006, 2921, 7350, 1005, 13667, 1565, 1424, 1702, 1141, 8217, 1100, 25786, 1048, 1026, 3762, 8170, 5584, 1291, 1160, 1058, 1966, 1009, 6388, 1026, 7248, 2271, 1048, 1160, 22292, 1132, 3538, 1717, 1026, 4341, 76, 3336, 1551, 1044, 4918, 15199, 2289, 5639, 1381, 5239, 1005, 1743, 1164, 2276, 1233, 7565, 1009, 1338, 1029, 22247, 2013, 1048, 1044, 7248, 1096, 6322, 27748, 2561, 77, 5258, 1096, 6388, 1044, 13650, 1063, 4033, 2666, 1, 1142, 5558, 32, 1664, 2817, 3982, 1664, 10500, 1046, 1152, 675, 712, 709, 712, 4032, 1074, 1512, 1024, 1096, 29421, 0, 8, 675, 712, 0, 712, 5, 643, 17223, 1009, 14994, 17158, 4234, 2624, 1184, 1049, 1048, 2779, 23532, 2344, 1076, 1225, 10459, 29, 2744, 1009, 5715, 12411, 12674, 22157, 4434, 1195, 6342, 1054, 3064, 12525, 9779, 3607, 19875, 3343, 17157, 1005, 11271, 1142, 1483, 1100, 3064, 12525, 1067, 2954, 7425, 13397, 1024, 4941, 3045, 6633 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1224, 1834, 10303, 18, 2047, 1202, 1114, 7299, 1060, 1134, 5071, 1159, 5200, 1097, 7332, 1009, 6962, 11141, 2358, 14345, 1026, 6872, 1049, 1594, 1060, 1134, 5071, 1225, 2350, 1054, 2497, 1009, 10354, 1048, 1327, 3321, 1580, 1294, 21855, 6536, 1554, 4501, 9168, 1048, 6546, 1801, 1129, 5268, 1327, 1271, 14598, 1048, 3460, 3140, 3967, 1412, 1233, 1134, 5071, 1005, 1233, 1144, 1112, 28098, 5490, 11744, 1026, 5862, 1060, 3578, 1049, 12091, 1202, 1024, 1213, 3311, 1009, 4207, 1026, 1668, 1047, 1049, 3790, 4240, 6567, 3867, 1726, 9109, 27579, 20851, 1312, 1054, 6442, 20, 7038, 1202, 1463, 23196, 4034, 1005, 1294, 12189, 1400, 3552, 4180, 27632, 7016, 19228, 1054, 14096, 1209, 1080, 2570, 1391, 9440, 1653, 2682, 1493, 13528, 8815, 1005, 2247, 1049, 1184, 2072, 23789, 1365, 24836, 14327, 1801, 1129, 5268, 1160, 1693, 2340, 1169, 4023, 1024, 1124, 8098, 14711, 1005, 26805, 12897, 1060, 6365, 1060, 1063, 1785, 7863, 1, 21015, 1152, 9947, 2787, 2642, 75, 1038, 1759, 7393, 18558, 1026, 1048, 1837, 1009, 1853, 1114, 2423, 14762, 9947, 2787, 2642, 75, 14722, 2364, 13404, 2122, 2042, 1072, 4299, 1048, 8666, 1124, 8434, 1068, 1235, 2017, 24727, 11883, 10119, 4438, 96, 2652, 1776, 20345, 26370, 1060, 2360, 6697, 1005, 26370, 1566, 18401, 1166, 1060, 3028, 8322, 13136, 1680, 29767, 1114, 4005, 9948, 1060, 7197, 1005, 1294, 3044, 1010, 25197, 1009, 17175, 2152, 1330, 2586, 16102, 31649, 10767, 1005, 20446, 7974, 1363, 2613, 4475, 3423, 1049, 20345, 1049, 12930, 1006, 7197, 1005, 3688, 12071, 5706, 1124, 8804, 1048, 6470, 1751, 1009, 1224, 8211, 21163, 1179, 4358, 3381, 19058, 3426, 3237, 168, 30492, 1005, 1734, 3056, 5169, 1327, 29767, 1356, 4478, 5721, 5625, 21895, 2565, 1026, 2011, 4277, 1160, 1657, 1124, 6815, 1060, 7197, 1463, 8804, 1159, 1318, 1026, 7794, 1010, 1876, 1187, 13588, 1048, 1006, 4089, 1046, 1704, 2417, 1048, 7505, 3994, 2271, 1026, 1749, 1047, 1049, 6730, 1325, 1215, 1209, 1069, 1005, 12317, 14424, 13288, 1365, 9496, 1005, 15515, 1048, 9491, 1040, 7005, 10119, 4438, 16241, 1006, 2220, 2999, 21549, 1060, 3593, 2423, 5092, 4355, 2795, 1047, 22099, 1898, 52, 11165, 1054, 1764, 2434, 9535, 1047, 22099, 2845, 1006, 3194, 1024, 115, 1117, 1357, 2423, 1679, 1782, 4844, 1482, 8379, 7717, 1456, 5364, 1114, 2828, 13293, 1009, 11686, 5122, 7946, 2334, 1571, 12081, 10544, 1411, 28771, 2042, 1060, 8483, 9484, 4884, 1009, 9150, 1100, 27462, 1005, 22720, 1582, 20, 1587, 22809, 5278, 1043, 4306, 4440, 1005, 6353, 11037, 22747, 5122, 7946, 2334, 1067, 1127, 1027, 30492, 20446, 7974, 1363, 2613, 2037, 8266, 6484, 1106, 1398, 1258, 1226, 96, 5121, 8658, 2343, 4719, 1134, 1342, 1005, 3237, 168, 14563, 3482, 22580, 32, 14796, 19160, 15366, 27737, 8767, 8520, 2673, 5101, 3141, 8179, 15934, 79, 31428, 5188, 1291, 9110, 1356, 7478, 12, 58, 1005, 1357, 1228, 50, 51, 5122, 7946, 1053, 1225, 1159, 2751, 6640, 1026, 26834, 1005, 1006, 11686, 6164, 20, 7906, 1079, 1043, 1132, 4496, 26007, 32, 16779, 1423, 1868, 3222, 1126, 3236, 4243, 10874, 17272, 71, 1134, 24711, 2196, 3968, 1423, 1062, 3998, 18, 6643, 6065, 9596, 31165, 1187, 9562, 1063, 16104, 4611, 1529, 95, 4611, 1529, 95, 1005, 1006, 17068, 7204, 5122, 83, 3965, 13694, 1096, 4868, 1356, 7478, 12, 58, 1005, 9392, 1072, 2417, 4285, 2483, 12926, 3141, 1185, 2297, 7974, 1363, 8819, 28342, 7545, 1079, 1006, 11518, 1009, 2423, 1114, 8305, 3083, 3642, 54, 1005, 24190, 1108, 75, 14231, 1409, 7411, 20, 1482, 12535, 24901, 1054, 14844, 2247, 1009, 15414, 1005, 31743, 1054, 4440, 1009, 26903, 5121, 6580, 1271, 15414, 1009, 1138, 6218, 2989, 85, 6053, 76, 1027, 6297, 5621, 2865, 1043, 13890, 1043, 1632, 1022, 1177, 7056, 56, 1070, 12433, 27265, 1045, 8191, 1722, 3529, 20712, 3854, 1041, 1803, 2878, 76, 4787, 21737, 1005, 23229, 18783, 4247, 1189, 81, 1219, 20, 2800, 9171, 6321, 1456, 14832, 1062, 1074, 8140, 18, 29109, 1005, 4438, 16241, 1060, 13803, 3482, 22580, 32, 10167, 10076, 1252, 1363, 1183, 1047, 2592, 3576, 1021, 31649, 10767, 1898, 60, 2839, 1081, 3382, 7073, 88, 3382, 9171, 1005, 8088, 80, 3858, 16102, 31649, 10767, 3134, 19745, 1054, 2423, 1357, 26685, 1005, 1566, 7217, 1235, 2011, 1072, 3878, 2138, 2365, 1005, 18104, 5621, 2865, 1043, 1924, 1253, 1126, 8291, 6624, 3247, 1672, 24829, 12203, 4243, 12412, 2339, 2045, 85, 1009, 2529, 6420, 16374, 1207, 24599, 10974, 2882, 8382, 14900, 24453, 1766, 23699, 1810, 1049, 2358, 6315, 1081, 1005, 11136, 11805, 6424, 88, 13626, 25736, 6720, 1049, 2956, 1009, 1764, 2434, 1565, 2494, 2423, 30121, 10083, 1213, 2790, 1009, 4510, 2903, 1528, 26834, 4158, 1105, 1119, 4550, 4852, 8266, 6484, 4356, 15642, 1349, 6208, 1047, 5196, 83, 19263, 1207, 1669, 1136, 1049, 8277, 18, 4660, 19193, 3285, 1785, 1163, 168, 1400, 19528, 2538, 1130, 1177, 18624, 16102, 31649, 13698, 3926, 5542, 1810, 5827, 1005, 1144, 1051, 159, 1106, 5188, 3382, 1365, 9918, 11828, 1026, 2417, 1060, 7197, 19323, 1163, 168, 1400, 1049, 24944, 7378, 1551, 2976, 1126, 15143, 1956, 23186, 48, 9711, 9550, 7388, 18, 11006, 12033, 16367, 17054, 10039, 24571, 1047, 19436, 2526, 1005, 1026, 21685, 1049, 1717, 13094, 1291, 20446, 7974, 1363, 2613, 2037, 1043, 2306, 1058, 7217, 1072, 8908, 2751, 1049, 6682, 4594, 1009, 26834, 1009, 15009, 19315, 14601, 2013, 1044, 1187, 8813, 1049, 2417, 1344, 92, 1930, 1571, 7584, 1235, 20345, 7318, 5972, 7302, 5804, 1225, 10937, 1009, 4711, 1068, 1026, 2277, 14299, 1009, 14793, 1, 14251, 3446, 1955, 9152, 1152, 1138, 1048, 1096, 1006, 31771, 1040, 7300, 1049, 19630, 37, 11591, 37, 2013, 1094, 9525, 37, 3316, 4208, 1245, 1342, 37, 2858, 17503, 14280, 1009, 1025, 22353, 1104, 7316, 37, 8399, 10660, 14413, 26055, 1308, 8997, 22, 1999, 20390, 1726, 28309, 13690, 6416, 1393, 1006, 6141, 1114, 31771, 1040, 7300, 1049, 19630, 1005, 3442, 3877, 6027, 13284, 7565, 22509, 1006, 1338, 1029, 9113, 7349, 3248, 1009, 1044, 2792, 1096, 1094, 13615, 21872, 1006, 3248, 1009, 1044, 9557, 1096, 1094, 27273, 2100, 12171, 1221, 1072, 2822, 9390, 76, 4835, 1371, 1026, 9179, 1054, 2252, 1124, 11688, 18, 1233, 8559, 1060, 12541, 1060, 1142, 20692, 1043, 1094, 3080, 1239, 9013, 1049, 19630, 1294, 1176, 20049, 1184, 22670, 1087, 1402, 1005, 1094, 3080, 1239, 9013, 1049, 4284, 1072, 18661, 91, 8, 2208, 76, 27294, 1006, 3845, 1076, 1231, 31445, 1009, 7706, 3590, 1780, 1200, 3096, 1095, 5160, 1006, 1150, 1208, 2051, 7300, 8, 1049, 19630, 3449, 1184, 1094, 9273, 1049, 1048, 1044, 7276, 1801, 1265, 1029, 8341, 1972, 2306, 23976, 1646, 1005, 1646, 1233, 5195, 16597, 2073, 1600, 1162, 1371, 1066, 29340, 1006, 25194, 1005, 2306, 18, 1890, 5224, 2864, 1998, 1043, 1418, 1427, 1095, 1025, 1560, 1081, 1160, 1058, 13724, 71, 8273, 1679, 5635, 1009, 5716, 1016, 3928, 1170, 22311, 1036, 1435, 32, 1026, 19630, 1225, 3412, 1188, 1005, 1026, 4284, 1225, 8630, 9242, 5653, 1616, 8134, 2643, 1006, 5223, 1009, 1033, 1218, 1154, 1005, 1734, 1009, 13971, 1324, 1620, 2464, 1184, 16269, 2444, 16269, 6583, 1043, 1188, 1026, 1592, 22517, 10188, 1118, 3018, 1124, 9107, 32, 1114, 12541, 1009, 8258, 4284, 1005, 19630, 4651, 1412, 1026, 1592, 2285, 1009, 2173, 2565, 2125, 33, 1114, 12541, 1060, 1142, 20692, 1026, 19630, 14914, 3251, 11275, 1489, 1079, 2252, 15, 1005, 1026, 4284, 14914, 2125, 30790, 10116, 2252, 1565, 4378, 1096, 1006, 3964, 5173, 1054, 1048, 1837, 1094, 5864, 31771, 1040, 7300, 1009, 1044, 17926, 8261, 1118, 1058, 9149, 1060, 12541, 1060, 1142, 20692, 1096, 8937, 1048, 1132, 30368, 1071, 22915, 9408, 1132, 1049, 4284, 15, 1556, 91, 1656, 2089, 16647, 1068, 1026, 3558, 1660, 32, 1006, 1187, 24773, 28461, 1005, 1006, 1271, 11688, 26752, 12334, 21027, 18, 3701, 18409, 1094, 3525, 3276, 6658, 1005, 29947, 1096, 1009, 30154, 1024, 1006, 1572, 12204, 1009, 3326, 1544, 1049, 4718, 6120, 1049, 4284, 1072, 5239, 1009, 26465, 1006, 5253, 1159, 1026, 1968, 1343, 1184, 15376, 1629, 1060, 18492, 3246, 4136, 16075, 4284, 1620, 4713, 4537, 1118, 2125, 2624, 1679, 12569, 1179, 1229, 2097, 1026, 19630, 1998, 3475, 1006, 4415, 1009, 4440, 1184, 1094, 16991, 2494, 6254, 11229, 2247, 1271, 2156, 2173, 2565, 1026, 19630, 4064, 1094, 1472, 1726, 25420, 2132, 6493, 1005, 2924, 1679, 12272, 28940, 1453, 3414, 7393, 1846, 1009, 11506, 1060, 9956, 89, 1565, 1138, 16273, 2247, 1060, 27727, 9564, 2156, 2624, 1294, 2256, 1993, 1020, 1801, 1010, 1005, 1094, 1294, 12272, 28940, 1453, 3414, 7393, 1846, 1009, 11506, 1060, 9956, 1678, 1043, 8559, 1049, 25601, 1054, 4127, 15, 28592, 2247, 1060, 29608, 1837, 1044, 2120, 2300, 11780, 32, 1072, 13605, 3443, 1100, 1006, 9013, 1049, 4284, 1225, 2281, 16935, 3013, 1704, 2863, 1068, 1026, 4284, 1096, 1048, 1006, 16081, 83, 6579, 1294, 24773, 28461, 1160, 1058, 1225, 22986, 1054, 2833, 9680, 3048, 1225, 5225, 1188, 1026, 19630, 1009, 1132, 4311, 3144, 1482, 2848, 1271, 9078, 2256, 5713, 1273, 2966, 1006, 4180, 1054, 22418, 1044, 1187, 8521, 4857, 1132, 1791, 3538, 1068, 1026, 7248, 32, 1054, 3837, 8674, 1026, 4284, 1195, 12347, 1627, 1054, 4053, 9457, 1026, 19630, 1195, 12347, 1627, 1309, 1054, 4210, 21, 3487, 1124, 2156, 11753, 1049, 4284, 1160, 9686, 1068, 10889, 1026, 3479, 20, 1084, 1668, 4183, 1846, 1009, 2156, 30024, 1620, 1325, 1006, 2848, 3328, 1049, 19630, 9346, 5655, 2481, 1096, 1006, 1009, 1048, 1132, 3538, 1365, 1132, 1791, 8521, 1160, 1327, 3188, 1727, 1068, 1026, 7374, 22408, 1049, 7248, 20, 1603, 9427, 3982, 1206, 1058, 18965, 1094, 10893, 10603, 1072, 7223, 2909, 1026, 4284, 1006, 1261, 3251, 7268, 6977, 1026, 3019, 4183, 8651, 4234, 1565, 2605, 1026, 1048, 1006, 1598, 1038, 1629, 9013, 1049, 4284, 1294, 24773, 28461, 1318, 16875, 1096, 1048, 1026, 4346, 6658, 1005, 6548, 2598, 15566, 5680, 3538, 1009, 17492, 1714, 7743, 20, 2656, 1096, 1048, 1026, 19630, 1026, 6337, 2731, 1309, 1006, 5939, 1096, 17168, 1766, 4731, 1049, 4284, 18413, 1043, 1006, 20806, 1055, 1009, 1048, 1094, 9348, 1160, 10985, 2177, 20250, 1140, 1005, 1009, 1048, 1094, 4744, 5348, 1053, 5694, 13825, 1506, 15, 1664, 1132, 6886, 1166, 1049, 16326, 5011, 1132, 4731, 1049, 19630, 18413, 1043, 1094, 16582, 1009, 22793, 1149, 1006, 3372, 1439, 16288, 1322, 1124, 26108, 5436, 2921, 16582, 1048, 3372, 1007, 1322, 1132, 30368, 15, 1005, 1043, 1006, 20806, 1055, 12621, 1278, 7760, 1296, 21218, 1009, 1048, 1160, 2177, 1094, 9348, 1006, 1090, 1007, 1645, 16288, 1006, 4180, 1058, 1846, 2167, 7142, 1178, 18026, 20, 2013, 1159, 1058, 1026, 4284, 1756, 1993, 2289, 1068, 2453, 1009, 3428, 1479, 1132, 2125, 12625, 1026, 6330, 4075, 1006, 2042, 1005, 1071, 2758, 2016, 1309, 1096, 1592, 1992, 15, 1006, 2706, 1009, 20994, 1213, 12044, 1479, 1005, 1026, 19630, 1657, 1124, 7685, 1049, 7248, 3482, 168, 2237, 11589, 7845, 1094, 24496, 1149, 2072, 1807, 1365, 24773, 28461, 1005, 3770, 4999, 5048, 1766, 9524, 76, 3434, 1573, 1160, 3417, 1027, 1009, 7208, 3138, 1213, 1419, 1026, 2751, 17882, 1006, 21194, 1439, 1371, 1006, 7363, 1436, 9190, 2012, 1479, 1159, 1044, 7433, 1006, 8147, 1054, 12249, 1048, 2155, 24750, 9423, 1752, 1472, 2444, 4412, 1479, 1068, 5200, 5188, 1006, 17360, 1049, 4758, 1049, 19630, 1294, 4679, 1646, 1005, 1049, 24106, 1006, 1044, 9179, 1009, 11262, 1006, 1048, 1566, 1160, 1836, 13724, 2270, 8335, 2643, 1009, 28915, 1048, 5587, 18207, 1305, 2997, 7349, 8, 11957, 1019, 1140, 1213, 1807, 15058, 6733, 6185, 10278, 9441, 1385, 1009, 1160, 1058, 1261, 3330, 1026, 2011, 1495, 1213, 2822, 18115, 15825, 1717, 1026, 4341, 1820, 1126, 1026, 4284, 1050, 1553, 1026, 1211, 2024, 1009, 1086, 3691, 1071, 5052, 3057, 6204, 1096, 1026, 3124, 3752, 3829, 1066, 15, 1005, 4277, 1006, 1224, 1853, 10764, 22913, 30368, 5584, 1573, 24945, 1027, 1048, 1096, 1006, 7472, 2317, 1324, 1309, 1543, 22924, 1213, 2729, 1060, 7475, 1058, 5662, 1006, 8817, 1006, 6534, 1043, 1006, 2921, 7350, 1005, 13667, 1565, 1424, 1702, 1141, 8217, 1100, 25786, 1048, 1026, 3762, 8170, 5584, 1291, 1160, 1058, 1966, 1009, 6388, 1026, 7248, 2271, 1048, 1160, 22292, 1132, 3538, 1717, 1026, 4341, 76, 3336, 1551, 1044, 4918, 15199, 2289, 5639, 1381, 5239, 1005, 1743, 1164, 2276, 1233, 7565, 1009, 1338, 1029, 22247, 2013, 1048, 1044, 7248, 1096, 6322, 27748, 2561, 77, 5258, 1096, 6388, 1044, 13650, 1063, 4033, 2666, 1, 1142, 5558, 32, 1664, 2817, 3982, 1664, 10500, 1046, 1152, 675, 712, 709, 712, 4032, 1074, 1512, 1024, 1096, 29421, 0, 8, 675, 712, 0, 712, 5, 643, 17223, 1009, 14994, 17158, 4234, 2624, 1184, 1049, 1048, 2779, 23532, 2344, 1076, 1225, 10459, 29, 2744, 1009, 5715, 12411, 12674, 22157, 4434, 1195, 6342, 1054, 3064, 12525, 9779, 3607, 19875, 3343, 17157, 1005, 11271, 1142, 1483, 1100, 3064, 12525, 1067, 2954, 7425, 13397, 1024, 4941, 3045, 6633 ]

[ 11696, 1063, 7513, 3019, 8270, 1195, 1233, 2373, 45, 3333, 1051, 1207, 2356, 626, 1071, 1363, 1263, 1048, 15011, 1068, 1026, 2803, 1054, 1048, 1006, 3357, 1325, 1903, 1546, 5602, 1592, 1996, 1049, 16714, 1049, 4153, 1565, 1063, 22731, 7209, 1009, 12255, 1068, 1006, 6392, 20, 2013, 1094, 7640, 4840, 1068, 19883, 1184, 13670, 1114, 9418, 1006, 13458, 7, 1138, 8270, 26371, 1094, 3688, 1213, 5595, 1048, 4312, 2289, 2201, 7383, 4457, 13803, 1800, 1048, 3699, 1040, 11788, 18682, 1009, 6276, 1009, 23778, 3360, 2950, 3230, 7, 3576, 1051, 3200, 32, 28532, 21055, 1665, 27982, 1691, 6551, 11226, 4158, 1105, 32, 17866, 17271, 1940, 3824, 28903, 12089, 11396, 5026, 1066, 1283, 1809, 2325, 5895, 32, 1705, 9422, 2995, 1330, 32, 7695, 3841, 24571, 3576, 2262, 8866, 1205, 7309, 1313, 24479, 6206, 2555, 20071, 1797, 1016, 1303, 1009, 23778, 2968, 1303, 1009, 5675, 1054, 8258, 2968, 1303, 2430, 1331, 1007, 17032, 2968, 1303, 1054, 8258, 2968, 1303, 8258, 2968, 1024, 1054, 8258, 13038, 1468, 1049, 6276, 1054, 9100, 8721, 2847, 1551, 2968, 1303, 8258, 28532, 21055, 1665, 1, 1633, 10975, 6179, 3340, 12057, 2197, 17032, 1054, 5614, 2414, 1294, 27540, 1689, 17341, 1060, 1033, 4835, 31718, 21561, 17539, 18, 1009, 22554, 30376, 29964, 10641, 1108, 16732, 1081, 7234, 95, 1692, 1565, 1063, 22699, 1187, 5278, 1049, 7618, 1195, 4661, 1356, 18292, 18279, 15030, 1024, 23391, 1060, 23876, 8567, 14252, 2494, 1224, 1378, 4703, 15111, 5099, 9108, 3990, 1349, 1048, 1026, 29895, 1726, 11723, 2478, 8165, 19129, 1026, 6040, 63, 1014, 1183, 81, 121, 9529, 26156, 0, 3186, 13, 1009, 27750, 3826, 1005, 20552, 1178, 4310, 1009, 10572, 1086, 3340, 1043, 1101, 1025, 1009, 17817, 21505, 1776, 1531, 1675, 1009, 10658, 1009, 1204, 9949, 1511, 4937, 1393, 1006, 14089, 1049, 6040, 63, 1014, 1183, 81, 15242, 1026, 8030, 9757, 12057, 10039, 5226, 1162, 92, 4713, 9526, 1006, 1944, 5556, 2290, 7661, 1365, 1344, 1252, 4070, 1005, 1006, 6140, 30332, 3309, 20, 1138, 7618, 7062, 1702, 1557, 1072, 1106, 25271, 1221, 1996, 1009, 1178, 18023, 1068, 1132, 1804, 1074, 1588, 7498, 1005, 1009, 11754, 1024, 1365, 1132, 26890, 1009, 9502, 1736, 3169, 1005, 1009, 13085, 1727, 1164, 13891, 1063, 1224, 6280, 27696, 1054, 3647, 8522, 1006, 11209, 16030, 1549, 1048, 8372, 1006, 7500, 22201, 1233, 27645, 4588, 19866, 1005, 1213, 16964, 8689, 2230, 3617, 1138, 6040, 63, 1014, 1183, 81, 15242, 1048, 1516, 1044, 7618, 1009, 1844, 2525, 5003, 4722, 1009, 27744, 9741, 1157, 1044, 2574, 1184, 1009, 1799, 17395, 10338, 3273, 1195, 21472, 1049, 3159, 1251, 9064, 1054, 14603, 33, 1511, 1516, 1566, 1026, 1184, 5485, 7618, 1049, 1784, 1049, 1235, 2446, 20, 2034, 7129, 11471, 13093, 12080, 1026, 1235, 1720, 1006, 1094, 6140, 1049, 26643, 18088, 1219, 81, 80, 3333, 20, 1, 4378, 6972, 13855, 1448, 3446, 1009, 2125, 23692, 6420, 9897, 1054, 8931, 24, 1072, 27540, 1243, 1009, 3753, 4365, 4213, 1060, 1641, 1009, 4833, 19384, 1195, 1026, 1831, 7618, 1049, 12114, 4687, 4285, 7429, 11054, 1060, 11298, 7298, 1009, 23852, 16030, 2602, 1048, 5325, 1043, 1026, 1235, 22547, 1535, 1619, 1236, 1068, 1026, 6545, 1049, 13040, 1043, 1124, 11723, 14551, 7866, 1006, 6040, 2814, 1183, 30663, 1342, 121, 1516, 1044, 4625, 1243, 3146, 1038, 6039, 8878, 1048, 4064, 1006, 4855, 1006, 8262, 1365, 1006, 6140, 1009, 1207, 2253, 1005, 1006, 11348, 41, 1149, 1060, 21470, 6061, 1713, 624, 1054, 1657, 1844, 2250, 1005, 1158, 18686, 2656, 4122, 6613, 1009, 4734, 1322, 1124, 13672, 6762, 1734, 4972, 15, 2429, 1448, 1146, 1377, 6202, 25984, 1072, 2268, 1048, 1861, 1393, 2454, 12845, 8876, 1270, 27427, 1005, 1048, 1026, 1235, 1831, 18355, 1068, 1026, 26643, 1496, 1589, 7068, 1118, 2612, 1060, 2573, 4285, 7429, 1516, 19427, 1118, 3195, 15174, 4846, 3204, 4527, 1348, 5674, 1079, 1026, 4625, 1243, 1890, 2125, 2864, 20295, 5193, 6958, 1635, 2710, 21451, 1044, 7618, 1712, 1005, 16851, 3654, 1213, 1235, 6262, 1054, 12447, 1349, 1054, 8931, 2525, 1006, 1044, 3174, 86, 7413, 4006, 1037, 5343, 33, 1048, 1006, 27028, 1072, 5407, 4678, 1009, 6772, 19776, 1063, 1448, 3446, 6040, 2814, 1183, 30663, 1342, 121, 2521, 31073, 27818, 1175, 2095, 1531, 2322, 1009, 9195, 1009, 29157, 19, 1213, 24010, 1009, 2330, 3814, 4206, 15509, 18, 1114, 8506, 1049, 2497, 1009, 7000, 20, 1063, 1224, 18350, 1009, 1799, 4031, 8112, 2923, 18, 1213, 1178, 19592, 1140, 1118, 1044, 2143, 7618, 20, 1063, 7461, 3019, 6191, 4625, 1243, 1195, 1026, 3873, 1085, 9439, 15, 3311, 1009, 5618, 1060, 7298, 4285, 1617, 9633, 1400, 1048, 6071, 11754, 4424, 1044, 1187, 1184, 4412, 21588, 16030, 2602, 3414, 1051, 1027, 1026, 1712, 15, 1009, 2220, 1026, 8689, 2230, 3617, 1, 1063, 2002, 75, 1009, 21670, 1243, 1381, 5966, 1043, 1006, 6338, 1009, 2956, 1009, 29523, 16646, 1005, 7846, 5170, 1175, 1067, 4436, 2980, 2164, 17357, 9580, 2595, 10867, 9521, 1467, 2002, 75, 1009, 21670, 1243, 1381, 5966, 1043, 1006, 6338, 1009, 2956, 1009, 29523, 16646, 1005, 7846, 5170, 1175, 1067, 4436, 2980, 2164, 1533, 5966, 1225, 1118, 3489, 1006, 15204, 6085, 1005, 9466, 1068, 1006, 11718, 1009, 4577, 1009, 7357, 1533, 1481, 3263, 1049, 6724, 1381, 1751, 1271, 26296, 6857, 23150, 11222, 1009, 6813, 9999, 1312, 1356, 24699, 2045, 29656, 1221, 13558, 4452, 1356, 24699, 10974, 2878, 13249, 1005, 1356, 24699, 5113, 27704, 2730, 2161, 3225, 1009, 2824, 1422, 2567, 3990, 2534, 5784, 2098, 1024, 2219, 1242, 10044, 1312, 1043, 1006, 8899, 9945, 7506, 2663, 82, 2059, 2307, 1068, 1419, 30461, 4562, 58, 2053, 5848, 112, 6391, 7054, 5744, 1187, 19938, 1005, 26605, 1187, 1955, 10042, 4743, 1009, 21670, 1243, 1009, 7019, 86, 1040, 29987, 1175, 14388, 7054, 7027, 1132, 3997, 4453, 3983, 1, 31445, 5569, 1060, 5827, 3839, 1497, 12186, 1068, 3649, 1009, 26782, 1068, 10327, 17020, 11196, 1043, 3489, 1009, 20233, 1009, 3111, 1049, 4489, 1142, 21816, 1114, 4336, 6015, 8094, 3038, 7518, 1275, 7662, 16258, 19, 1587, 1643, 1337, 19, 8658, 19, 15444, 2219, 1060, 6610, 18025, 1005, 1009, 1338, 4405, 1, 28596, 75, 3057, 8733, 2149, 6877, 1026, 4299, 1049, 8187, 2373, 52, 1019, 1617, 1138, 4226, 1328, 4324, 5223, 1049, 11033, 3208, 18, 1048, 16743, 1094, 6820, 1201, 1165, 4559, 1054, 19503, 90, 1253, 1126, 1006, 2323, 1271, 3295, 2975, 1072, 3709, 6932, 20, 1138, 3366, 4597, 1620, 6820, 1009, 24671, 4190, 9579, 1005, 19528, 27066, 1048, 9491, 1040, 1044, 20345, 10215, 1005, 4805, 18941, 20, 1138, 1831, 14390, 1009, 17800, 1233, 5641, 1213, 4410, 25819, 1009, 2824, 2595, 5721, 1657, 1158, 2864, 25524, 1617, 1096, 1094, 1271, 4029, 3378, 1394, 1049, 5847, 29784, 8912, 1072, 1128, 2145, 58, 1816, 1005, 7918, 1132, 1413, 1218, 89, 1271, 3145, 10539, 12295, 1043, 1026, 23836, 2373, 5552, 16783, 1049, 26202, 4324, 1048, 1566, 9793, 1079, 1006, 4214, 1009, 1782, 2744, 1009, 13434, 89, 1072, 26466, 1174, 2196, 1005, 1072, 11104, 19061, 8436, 1814, 2916, 1009, 3114, 2744, 1009, 17603, 9003, 1132, 3361, 5783, 1026, 3366, 22341, 1043, 1094, 11092, 1281, 1042, 2544, 1048, 29424, 2693, 3227, 1005, 21404, 1149, 1049, 15424, 1063, 2935, 1096, 1009, 8026, 11069, 1005, 11647, 21446, 8201, 12904, 39, 2900, 1118, 17800, 1325, 16137, 1026, 1048, 2263, 29928, 1006, 17164, 1049, 2999, 1009, 2693, 12873, 5011, 2518, 2315, 2653, 17800, 1005, 4803, 18541, 1026, 14390, 20, 7672, 1620, 1160, 15317, 26619, 2246, 4803, 18541, 1026, 4410, 4324, 9704, 1044, 1187, 3361, 5783, 11647, 1617, 11816, 8026, 11069, 16068, 1048, 1006, 6392, 4597, 3227, 1005, 21404, 1149, 1068, 1026, 2999, 2373, 13372, 1094, 6392, 1043, 12773, 1005, 21404, 2485, 1068, 3871, 1006, 19478, 1009, 1664, 626, 23217, 1079, 1704, 1831, 14390, 1009, 17800, 1068, 1026, 2193, 1466, 2801, 19503, 90, 1253, 1126, 1566, 1325, 1233, 5641, 1294, 4496, 4290, 32, 1594, 2973, 1191, 1049, 1106, 2234, 1100, 4285, 1208, 3662, 26195, 6612, 1678, 1106, 2234, 5489, 1123, 50, 1761, 10702, 18, 11193, 1208, 1205, 7194, 4968, 1005, 3314, 1810, 1071, 1764, 3381, 1049, 2709, 15, 2124, 4634, 2266, 32, 15127, 5463, 1779, 1799, 1442, 26, 15084, 1404, 1, 1063, 1106, 1258, 6362, 19050, 1124, 1783, 1005, 3235, 1271, 4957, 1436, 25964, 1356, 2380, 10268, 19590, 6485, 16288, 4008, 1068, 12746, 1005, 5593, 8406, 1322, 1124, 1569, 20599, 3590, 3247, 15294, 1132, 3794, 7896, 1072, 2930, 4861, 1898, 45, 18849, 20308, 1049, 1235, 3453, 1005, 22571, 1026, 1048, 1264, 1298, 1663, 1118, 4384, 6153, 2393, 9816, 58, 8524, 2428, 5, 1218, 2530, 20817, 1009, 8108, 4229, 2995, 1258, 6362, 1467, 4008, 25166, 1357, 4734, 1005, 4318, 1322, 1044, 5054, 7347, 12807, 8396, 1006, 5872, 3606, 7741, 1054, 6019, 3960, 1592, 1225, 1377, 1063, 1106, 1258, 6362, 5544, 3371, 1006, 17045, 2616, 1044, 1784, 1566, 1118, 4384, 9885, 1309, 1043, 4008, 1068, 2837, 7741, 1233, 5337, 1271, 1783, 1005, 8022, 5735, 2393, 9816, 58, 8524, 53, 27725, 1009, 8108, 4229, 3576, 13213, 1009, 6820, 1060, 1106, 1258, 6362, 28016, 1044, 7189, 4449, 1009, 6820, 1060, 1106, 1258, 6362, 3008, 2393, 9816, 58, 8524, 53, 13389, 1009, 8108, 4229, 1691, 1421, 1166, 9604, 1654, 1175, 8585, 1241, 2503, 3247, 15294, 1132, 10420, 22817, 1654, 1005, 1094, 1871, 1009, 6233, 1026, 4461, 1187, 7841, 5735, 2393, 9816, 58, 8524, 53, 8914, 24, 10993, 9521, 10491, 1602, 6481, 1026, 1048, 1327, 9878, 72, 1602, 1394, 1160, 1327, 1184, 1048, 10291, 13033, 1048, 10316, 1712, 1041, 7016, 1006, 12685, 1005, 3235, 1210, 1645, 1787, 3861, 3994, 1009, 12245, 20, 23509, 1054, 2612, 1026, 2161, 1009, 3099, 3225, 1271, 3750, 6481, 15907, 3754, 1048, 1668, 3202, 1096, 1187, 1184, 9370, 1463, 8022, 1068, 7774, 1461, 1055, 1009, 3861, 5735, 2393, 9816, 58, 8524, 53, 5, 3989, 8674, 9699, 1759, 7195, 1094, 3593, 4464, 1068, 1551, 15087, 1006, 4438, 3400, 8057, 6922, 1187, 22275, 1006, 5633, 5474, 1160, 3449, 1656, 1006, 9438, 1043, 1853, 1173, 3980, 3554, 2485, 1054, 3957, 1043, 1044, 5584, 15300, 1047, 2460, 3151, 1693, 11860, 1068, 1094, 9279, 15637, 1112, 1009, 4461, 20, 2800, 23214, 2177, 1927, 2637, 1006, 1261, 1054, 13250, 1114, 4464, 1009, 1155, 6716, 1124, 1569, 16939, 4068, 5735, 2393, 9816, 58, 8524, 53, 1797, 7260, 1295, 1026, 3453, 1006, 4524, 1068, 4384, 1005, 7009, 1009, 4524, 1068, 1026, 3453, 5613, 7741, 1009, 6573, 1160, 1058, 16483, 1040, 1233, 1224, 8621, 9466, 20, 11591, 1044, 1807, 2123, 1295, 1009, 3918, 1048, 10316, 7682, 1132, 10420, 13033, 1006, 1235, 3653, 1833, 51, 9554, 29916, 1576, 20761, 3083, 5356, 2053, 2164, 3141, 1171, 2113, 1049, 5802, 1060, 14852, 1049, 4410, 1271, 16866, 25269, 1016, 19922, 9781, 1079, 1160, 5192, 20808, 1184, 1043, 1006, 14852, 1049, 4410, 1187, 22849, 1206, 1592, 1043, 1132, 12211, 1009, 2729, 5633, 1043, 4410, 20762, 1009, 16866, 25269, 1016, 37, 3782, 1096, 2481, 7575, 1132, 10420, 13033, 1006, 1235, 3653, 12448, 1179, 1662, 1024, 8235, 5161, 13429, 2730, 2017, 23741, 1298, 1178, 21059, 2624, 1184, 18016, 1629, 1058, 1294, 1155, 1787, 1800, 1213, 1784, 10268, 1005, 1679, 10420, 2904, 1193, 17572, 1009, 4461, 1054, 5870, 6842, 6416, 1024, 1006, 4855, 12211, 1054, 2625, 14288, 1298, 1178, 1044, 1861, 1019, 1631, 1005, 6388, 1006, 1224, 1173, 1485, 5423, 1058, 1160, 1294, 3100, 5209, 1800, 7904, 1294, 10420, 3812, 1014, 1026, 1235, 3266, 4367, 1009, 8116, 1467, 8116, 15757, 1447, 3234, 1356, 2497, 1005, 1357, 1224, 7272, 9466, 1160, 1327, 1124, 1569, 16323, 3918, 20, 8470, 29235, 1787, 1005, 8011, 5893, 1024, 1044, 2017, 4367, 1009, 8116, 2328, 1187, 10420, 13033, 2098, 14611, 31890, 1132, 1456, 8235, 11731, 9515, 3453, 1068, 1044, 1807, 6573, 1159, 1044, 4526, 1206, 1094, 6711, 1989, 3453, 4291, 1160, 2593, 1006, 4524, 1068, 16351, 1160, 14142, 1992, 1006, 10066, 1124, 4008, 1049, 2380, 10268, 5178, 5613, 7741, 1327, 1216, 21199, 2656, 24000, 2238, 1026, 1048, 1132, 10420, 1693, 1663, 1118, 4384, 5640, 3408, 14579, 12489, 16267, 1009, 20878, 3550, 1400, 15265, 1206, 17036, 1009, 8238, 1009, 1151, 1707, 1009, 1009, 1334, 1478, 1006, 25926, 1, 16066, 6740, 1060, 1834, 1054, 4263, 1096, 9462, 25272, 1554, 4501, 10051, 1005, 12138, 1068, 3729, 5373, 1229, 3230, 1160, 1261, 8587, 12918, 2876, 1005, 22472, 3360, 1357, 3028, 3450, 1009, 8150, 8601, 7285, 1100, 1068, 28981, 1132, 8113, 1049, 1784, 2823, 7738, 4319, 1026, 7079, 19144, 4441, 1289, 6420, 1009, 1871, 5661, 17901, 1068, 7904, 1026, 1048, 1837, 1009, 1184, 2512, 1114, 1834, 1271, 9913, 1972, 1026, 1064, 1930, 1068, 1132, 8738, 18, 1068, 1006, 2926, 1005, 1495, 1068, 1006, 3486, 5297, 1132, 16013, 25041, 2464, 1054, 2535, 1009, 1098, 19155, 5708, 4261, 1124, 14260, 1160, 3775, 2072, 8016, 1728, 3782, 29002, 1005, 6601, 1006, 3647, 1006, 10051, 1009, 4054, 12918, 1435, 17627, 1184, 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 ]

[ 11696, 1063, 7513, 3019, 8270, 1195, 1233, 2373, 45, 3333, 1051, 1207, 2356, 626, 1071, 1363, 1263, 1048, 15011, 1068, 1026, 2803, 1054, 1048, 1006, 3357, 1325, 1903, 1546, 5602, 1592, 1996, 1049, 16714, 1049, 4153, 1565, 1063, 22731, 7209, 1009, 12255, 1068, 1006, 6392, 20, 2013, 1094, 7640, 4840, 1068, 19883, 1184, 13670, 1114, 9418, 1006, 13458, 7, 1138, 8270, 26371, 1094, 3688, 1213, 5595, 1048, 4312, 2289, 2201, 7383, 4457, 13803, 1800, 1048, 3699, 1040, 11788, 18682, 1009, 6276, 1009, 23778, 3360, 2950, 3230, 7, 3576, 1051, 3200, 32, 28532, 21055, 1665, 27982, 1691, 6551, 11226, 4158, 1105, 32, 17866, 17271, 1940, 3824, 28903, 12089, 11396, 5026, 1066, 1283, 1809, 2325, 5895, 32, 1705, 9422, 2995, 1330, 32, 7695, 3841, 24571, 3576, 2262, 8866, 1205, 7309, 1313, 24479, 6206, 2555, 20071, 1797, 1016, 1303, 1009, 23778, 2968, 1303, 1009, 5675, 1054, 8258, 2968, 1303, 2430, 1331, 1007, 17032, 2968, 1303, 1054, 8258, 2968, 1303, 8258, 2968, 1024, 1054, 8258, 13038, 1468, 1049, 6276, 1054, 9100, 8721, 2847, 1551, 2968, 1303, 8258, 28532, 21055, 1665, 1, 1633, 10975, 6179, 3340, 12057, 2197, 17032, 1054, 5614, 2414, 1294, 27540, 1689, 17341, 1060, 1033, 4835, 31718, 21561, 17539, 18, 1009, 22554, 30376, 29964, 10641, 1108, 16732, 1081, 7234, 95, 1692, 1565, 1063, 22699, 1187, 5278, 1049, 7618, 1195, 4661, 1356, 18292, 18279, 15030, 1024, 23391, 1060, 23876, 8567, 14252, 2494, 1224, 1378, 4703, 15111, 5099, 9108, 3990, 1349, 1048, 1026, 29895, 1726, 11723, 2478, 8165, 19129, 1026, 6040, 63, 1014, 1183, 81, 121, 9529, 26156, 0, 3186, 13, 1009, 27750, 3826, 1005, 20552, 1178, 4310, 1009, 10572, 1086, 3340, 1043, 1101, 1025, 1009, 17817, 21505, 1776, 1531, 1675, 1009, 10658, 1009, 1204, 9949, 1511, 4937, 1393, 1006, 14089, 1049, 6040, 63, 1014, 1183, 81, 15242, 1026, 8030, 9757, 12057, 10039, 5226, 1162, 92, 4713, 9526, 1006, 1944, 5556, 2290, 7661, 1365, 1344, 1252, 4070, 1005, 1006, 6140, 30332, 3309, 20, 1138, 7618, 7062, 1702, 1557, 1072, 1106, 25271, 1221, 1996, 1009, 1178, 18023, 1068, 1132, 1804, 1074, 1588, 7498, 1005, 1009, 11754, 1024, 1365, 1132, 26890, 1009, 9502, 1736, 3169, 1005, 1009, 13085, 1727, 1164, 13891, 1063, 1224, 6280, 27696, 1054, 3647, 8522, 1006, 11209, 16030, 1549, 1048, 8372, 1006, 7500, 22201, 1233, 27645, 4588, 19866, 1005, 1213, 16964, 8689, 2230, 3617, 1138, 6040, 63, 1014, 1183, 81, 15242, 1048, 1516, 1044, 7618, 1009, 1844, 2525, 5003, 4722, 1009, 27744, 9741, 1157, 1044, 2574, 1184, 1009, 1799, 17395, 10338, 3273, 1195, 21472, 1049, 3159, 1251, 9064, 1054, 14603, 33, 1511, 1516, 1566, 1026, 1184, 5485, 7618, 1049, 1784, 1049, 1235, 2446, 20, 2034, 7129, 11471, 13093, 12080, 1026, 1235, 1720, 1006, 1094, 6140, 1049, 26643, 18088, 1219, 81, 80, 3333, 20, 1, 4378, 6972, 13855, 1448, 3446, 1009, 2125, 23692, 6420, 9897, 1054, 8931, 24, 1072, 27540, 1243, 1009, 3753, 4365, 4213, 1060, 1641, 1009, 4833, 19384, 1195, 1026, 1831, 7618, 1049, 12114, 4687, 4285, 7429, 11054, 1060, 11298, 7298, 1009, 23852, 16030, 2602, 1048, 5325, 1043, 1026, 1235, 22547, 1535, 1619, 1236, 1068, 1026, 6545, 1049, 13040, 1043, 1124, 11723, 14551, 7866, 1006, 6040, 2814, 1183, 30663, 1342, 121, 1516, 1044, 4625, 1243, 3146, 1038, 6039, 8878, 1048, 4064, 1006, 4855, 1006, 8262, 1365, 1006, 6140, 1009, 1207, 2253, 1005, 1006, 11348, 41, 1149, 1060, 21470, 6061, 1713, 624, 1054, 1657, 1844, 2250, 1005, 1158, 18686, 2656, 4122, 6613, 1009, 4734, 1322, 1124, 13672, 6762, 1734, 4972, 15, 2429, 1448, 1146, 1377, 6202, 25984, 1072, 2268, 1048, 1861, 1393, 2454, 12845, 8876, 1270, 27427, 1005, 1048, 1026, 1235, 1831, 18355, 1068, 1026, 26643, 1496, 1589, 7068, 1118, 2612, 1060, 2573, 4285, 7429, 1516, 19427, 1118, 3195, 15174, 4846, 3204, 4527, 1348, 5674, 1079, 1026, 4625, 1243, 1890, 2125, 2864, 20295, 5193, 6958, 1635, 2710, 21451, 1044, 7618, 1712, 1005, 16851, 3654, 1213, 1235, 6262, 1054, 12447, 1349, 1054, 8931, 2525, 1006, 1044, 3174, 86, 7413, 4006, 1037, 5343, 33, 1048, 1006, 27028, 1072, 5407, 4678, 1009, 6772, 19776, 1063, 1448, 3446, 6040, 2814, 1183, 30663, 1342, 121, 2521, 31073, 27818, 1175, 2095, 1531, 2322, 1009, 9195, 1009, 29157, 19, 1213, 24010, 1009, 2330, 3814, 4206, 15509, 18, 1114, 8506, 1049, 2497, 1009, 7000, 20, 1063, 1224, 18350, 1009, 1799, 4031, 8112, 2923, 18, 1213, 1178, 19592, 1140, 1118, 1044, 2143, 7618, 20, 1063, 7461, 3019, 6191, 4625, 1243, 1195, 1026, 3873, 1085, 9439, 15, 3311, 1009, 5618, 1060, 7298, 4285, 1617, 9633, 1400, 1048, 6071, 11754, 4424, 1044, 1187, 1184, 4412, 21588, 16030, 2602, 3414, 1051, 1027, 1026, 1712, 15, 1009, 2220, 1026, 8689, 2230, 3617, 1, 1063, 2002, 75, 1009, 21670, 1243, 1381, 5966, 1043, 1006, 6338, 1009, 2956, 1009, 29523, 16646, 1005, 7846, 5170, 1175, 1067, 4436, 2980, 2164, 17357, 9580, 2595, 10867, 9521, 1467, 2002, 75, 1009, 21670, 1243, 1381, 5966, 1043, 1006, 6338, 1009, 2956, 1009, 29523, 16646, 1005, 7846, 5170, 1175, 1067, 4436, 2980, 2164, 1533, 5966, 1225, 1118, 3489, 1006, 15204, 6085, 1005, 9466, 1068, 1006, 11718, 1009, 4577, 1009, 7357, 1533, 1481, 3263, 1049, 6724, 1381, 1751, 1271, 26296, 6857, 23150, 11222, 1009, 6813, 9999, 1312, 1356, 24699, 2045, 29656, 1221, 13558, 4452, 1356, 24699, 10974, 2878, 13249, 1005, 1356, 24699, 5113, 27704, 2730, 2161, 3225, 1009, 2824, 1422, 2567, 3990, 2534, 5784, 2098, 1024, 2219, 1242, 10044, 1312, 1043, 1006, 8899, 9945, 7506, 2663, 82, 2059, 2307, 1068, 1419, 30461, 4562, 58, 2053, 5848, 112, 6391, 7054, 5744, 1187, 19938, 1005, 26605, 1187, 1955, 10042, 4743, 1009, 21670, 1243, 1009, 7019, 86, 1040, 29987, 1175, 14388, 7054, 7027, 1132, 3997, 4453, 3983, 1, 31445, 5569, 1060, 5827, 3839, 1497, 12186, 1068, 3649, 1009, 26782, 1068, 10327, 17020, 11196, 1043, 3489, 1009, 20233, 1009, 3111, 1049, 4489, 1142, 21816, 1114, 4336, 6015, 8094, 3038, 7518, 1275, 7662, 16258, 19, 1587, 1643, 1337, 19, 8658, 19, 15444, 2219, 1060, 6610, 18025, 1005, 1009, 1338, 4405, 1, 28596, 75, 3057, 8733, 2149, 6877, 1026, 4299, 1049, 8187, 2373, 52, 1019, 1617, 1138, 4226, 1328, 4324, 5223, 1049, 11033, 3208, 18, 1048, 16743, 1094, 6820, 1201, 1165, 4559, 1054, 19503, 90, 1253, 1126, 1006, 2323, 1271, 3295, 2975, 1072, 3709, 6932, 20, 1138, 3366, 4597, 1620, 6820, 1009, 24671, 4190, 9579, 1005, 19528, 27066, 1048, 9491, 1040, 1044, 20345, 10215, 1005, 4805, 18941, 20, 1138, 1831, 14390, 1009, 17800, 1233, 5641, 1213, 4410, 25819, 1009, 2824, 2595, 5721, 1657, 1158, 2864, 25524, 1617, 1096, 1094, 1271, 4029, 3378, 1394, 1049, 5847, 29784, 8912, 1072, 1128, 2145, 58, 1816, 1005, 7918, 1132, 1413, 1218, 89, 1271, 3145, 10539, 12295, 1043, 1026, 23836, 2373, 5552, 16783, 1049, 26202, 4324, 1048, 1566, 9793, 1079, 1006, 4214, 1009, 1782, 2744, 1009, 13434, 89, 1072, 26466, 1174, 2196, 1005, 1072, 11104, 19061, 8436, 1814, 2916, 1009, 3114, 2744, 1009, 17603, 9003, 1132, 3361, 5783, 1026, 3366, 22341, 1043, 1094, 11092, 1281, 1042, 2544, 1048, 29424, 2693, 3227, 1005, 21404, 1149, 1049, 15424, 1063, 2935, 1096, 1009, 8026, 11069, 1005, 11647, 21446, 8201, 12904, 39, 2900, 1118, 17800, 1325, 16137, 1026, 1048, 2263, 29928, 1006, 17164, 1049, 2999, 1009, 2693, 12873, 5011, 2518, 2315, 2653, 17800, 1005, 4803, 18541, 1026, 14390, 20, 7672, 1620, 1160, 15317, 26619, 2246, 4803, 18541, 1026, 4410, 4324, 9704, 1044, 1187, 3361, 5783, 11647, 1617, 11816, 8026, 11069, 16068, 1048, 1006, 6392, 4597, 3227, 1005, 21404, 1149, 1068, 1026, 2999, 2373, 13372, 1094, 6392, 1043, 12773, 1005, 21404, 2485, 1068, 3871, 1006, 19478, 1009, 1664, 626, 23217, 1079, 1704, 1831, 14390, 1009, 17800, 1068, 1026, 2193, 1466, 2801, 19503, 90, 1253, 1126, 1566, 1325, 1233, 5641, 1294, 4496, 4290, 32, 1594, 2973, 1191, 1049, 1106, 2234, 1100, 4285, 1208, 3662, 26195, 6612, 1678, 1106, 2234, 5489, 1123, 50, 1761, 10702, 18, 11193, 1208, 1205, 7194, 4968, 1005, 3314, 1810, 1071, 1764, 3381, 1049, 2709, 15, 2124, 4634, 2266, 32, 15127, 5463, 1779, 1799, 1442, 26, 15084, 1404, 1, 1063, 1106, 1258, 6362, 19050, 1124, 1783, 1005, 3235, 1271, 4957, 1436, 25964, 1356, 2380, 10268, 19590, 6485, 16288, 4008, 1068, 12746, 1005, 5593, 8406, 1322, 1124, 1569, 20599, 3590, 3247, 15294, 1132, 3794, 7896, 1072, 2930, 4861, 1898, 45, 18849, 20308, 1049, 1235, 3453, 1005, 22571, 1026, 1048, 1264, 1298, 1663, 1118, 4384, 6153, 2393, 9816, 58, 8524, 2428, 5, 1218, 2530, 20817, 1009, 8108, 4229, 2995, 1258, 6362, 1467, 4008, 25166, 1357, 4734, 1005, 4318, 1322, 1044, 5054, 7347, 12807, 8396, 1006, 5872, 3606, 7741, 1054, 6019, 3960, 1592, 1225, 1377, 1063, 1106, 1258, 6362, 5544, 3371, 1006, 17045, 2616, 1044, 1784, 1566, 1118, 4384, 9885, 1309, 1043, 4008, 1068, 2837, 7741, 1233, 5337, 1271, 1783, 1005, 8022, 5735, 2393, 9816, 58, 8524, 53, 27725, 1009, 8108, 4229, 3576, 13213, 1009, 6820, 1060, 1106, 1258, 6362, 28016, 1044, 7189, 4449, 1009, 6820, 1060, 1106, 1258, 6362, 3008, 2393, 9816, 58, 8524, 53, 13389, 1009, 8108, 4229, 1691, 1421, 1166, 9604, 1654, 1175, 8585, 1241, 2503, 3247, 15294, 1132, 10420, 22817, 1654, 1005, 1094, 1871, 1009, 6233, 1026, 4461, 1187, 7841, 5735, 2393, 9816, 58, 8524, 53, 8914, 24, 10993, 9521, 10491, 1602, 6481, 1026, 1048, 1327, 9878, 72, 1602, 1394, 1160, 1327, 1184, 1048, 10291, 13033, 1048, 10316, 1712, 1041, 7016, 1006, 12685, 1005, 3235, 1210, 1645, 1787, 3861, 3994, 1009, 12245, 20, 23509, 1054, 2612, 1026, 2161, 1009, 3099, 3225, 1271, 3750, 6481, 15907, 3754, 1048, 1668, 3202, 1096, 1187, 1184, 9370, 1463, 8022, 1068, 7774, 1461, 1055, 1009, 3861, 5735, 2393, 9816, 58, 8524, 53, 5, 3989, 8674, 9699, 1759, 7195, 1094, 3593, 4464, 1068, 1551, 15087, 1006, 4438, 3400, 8057, 6922, 1187, 22275, 1006, 5633, 5474, 1160, 3449, 1656, 1006, 9438, 1043, 1853, 1173, 3980, 3554, 2485, 1054, 3957, 1043, 1044, 5584, 15300, 1047, 2460, 3151, 1693, 11860, 1068, 1094, 9279, 15637, 1112, 1009, 4461, 20, 2800, 23214, 2177, 1927, 2637, 1006, 1261, 1054, 13250, 1114, 4464, 1009, 1155, 6716, 1124, 1569, 16939, 4068, 5735, 2393, 9816, 58, 8524, 53, 1797, 7260, 1295, 1026, 3453, 1006, 4524, 1068, 4384, 1005, 7009, 1009, 4524, 1068, 1026, 3453, 5613, 7741, 1009, 6573, 1160, 1058, 16483, 1040, 1233, 1224, 8621, 9466, 20, 11591, 1044, 1807, 2123, 1295, 1009, 3918, 1048, 10316, 7682, 1132, 10420, 13033, 1006, 1235, 3653, 1833, 51, 9554, 29916, 1576, 20761, 3083, 5356, 2053, 2164, 3141, 1171, 2113, 1049, 5802, 1060, 14852, 1049, 4410, 1271, 16866, 25269, 1016, 19922, 9781, 1079, 1160, 5192, 20808, 1184, 1043, 1006, 14852, 1049, 4410, 1187, 22849, 1206, 1592, 1043, 1132, 12211, 1009, 2729, 5633, 1043, 4410, 20762, 1009, 16866, 25269, 1016, 37, 3782, 1096, 2481, 7575, 1132, 10420, 13033, 1006, 1235, 3653, 12448, 1179, 1662, 1024, 8235, 5161, 13429, 2730, 2017, 23741, 1298, 1178, 21059, 2624, 1184, 18016, 1629, 1058, 1294, 1155, 1787, 1800, 1213, 1784, 10268, 1005, 1679, 10420, 2904, 1193, 17572, 1009, 4461, 1054, 5870, 6842, 6416, 1024, 1006, 4855, 12211, 1054, 2625, 14288, 1298, 1178, 1044, 1861, 1019, 1631, 1005, 6388, 1006, 1224, 1173, 1485, 5423, 1058, 1160, 1294, 3100, 5209, 1800, 7904, 1294, 10420, 3812, 1014, 1026, 1235, 3266, 4367, 1009, 8116, 1467, 8116, 15757, 1447, 3234, 1356, 2497, 1005, 1357, 1224, 7272, 9466, 1160, 1327, 1124, 1569, 16323, 3918, 20, 8470, 29235, 1787, 1005, 8011, 5893, 1024, 1044, 2017, 4367, 1009, 8116, 2328, 1187, 10420, 13033, 2098, 14611, 31890, 1132, 1456, 8235, 11731, 9515, 3453, 1068, 1044, 1807, 6573, 1159, 1044, 4526, 1206, 1094, 6711, 1989, 3453, 4291, 1160, 2593, 1006, 4524, 1068, 16351, 1160, 14142, 1992, 1006, 10066, 1124, 4008, 1049, 2380, 10268, 5178, 5613, 7741, 1327, 1216, 21199, 2656, 24000, 2238, 1026, 1048, 1132, 10420, 1693, 1663, 1118, 4384, 5640, 3408, 14579, 12489, 16267, 1009, 20878, 3550, 1400, 15265, 1206, 17036, 1009, 8238, 1009, 1151, 1707, 1009, 1009, 1334, 1478, 1006, 25926, 1, 16066, 6740, 1060, 1834, 1054, 4263, 1096, 9462, 25272, 1554, 4501, 10051, 1005, 12138, 1068, 3729, 5373, 1229, 3230, 1160, 1261, 8587, 12918, 2876, 1005, 22472, 3360, 1357, 3028, 3450, 1009, 8150, 8601, 7285, 1100, 1068, 28981, 1132, 8113, 1049, 1784, 2823, 7738, 4319, 1026, 7079, 19144, 4441, 1289, 6420, 1009, 1871, 5661, 17901, 1068, 7904, 1026, 1048, 1837, 1009, 1184, 2512, 1114, 1834, 1271, 9913, 1972, 1026, 1064, 1930, 1068, 1132, 8738, 18, 1068, 1006, 2926, 1005, 1495, 1068, 1006, 3486, 5297, 1132, 16013, 25041, 2464, 1054, 2535, 1009, 1098, 19155, 5708, 4261, 1124, 14260, 1160, 3775, 2072, 8016, 1728, 3782, 29002, 1005, 6601, 1006, 3647, 1006, 10051, 1009, 4054, 12918, 1435, 17627, 1184, 1009 ]

[ 6338, 1060, 18812, 3517, 1049, 1561, 4228, 44, 23376, 1068, 18216, 1206, 12513, 1009, 7471, 5144, 1452, 1049, 7809, 1206, 1006, 1264, 1481, 1021, 2585, 17207, 5052, 10512, 13849, 1206, 12513, 1009, 4937, 5157, 5906, 2094, 4637, 1416, 1005, 13342, 2489, 1006, 11368, 9575, 31144, 2078, 1009, 19543, 5144, 1452, 1049, 7809, 1206, 1006, 1264, 24396, 1704, 6483, 18343, 85, 22534, 20448, 16822, 7607, 1379, 1006, 9782, 4345, 1048, 7312, 1043, 1006, 4281, 1009, 9586, 1060, 3845, 18766, 1272, 1009, 7846, 1049, 2956, 2794, 1302, 1014, 1349, 1134, 3448, 1100, 21604, 9356, 2552, 1491, 3908, 2037, 18812, 3517, 1005, 5744, 6164, 1009, 2638, 1758, 1009, 8836, 4323, 2956, 3106, 7231, 60, 3377, 50, 158, 85, 22534, 9847, 1006, 4493, 1049, 9032, 1005, 1973, 1048, 1026, 11230, 8450, 1005, 1124, 6535, 3634, 18, 2328, 1009, 6099, 12499, 1005, 31671, 18, 8290, 1026, 22823, 1222, 77, 1303, 1049, 10744, 1118, 1178, 1044, 1680, 3654, 1068, 1026, 11974, 1009, 20773, 11038, 1026, 1428, 1973, 1178, 1006, 2360, 7858, 1049, 3090, 10293, 1049, 1908, 1704, 2670, 1060, 1134, 3448, 1100, 9881, 13464, 5280, 22215, 1132, 13203, 4653, 91, 29578, 2695, 11235, 1038, 1005, 9998, 1027, 1009, 11369, 1118, 9507, 3599, 4039, 1026, 5975, 1060, 30602, 1068, 6631, 1006, 9985, 1322, 1006, 2175, 2491, 2983, 1049, 10744, 1009, 4284, 18860, 8514, 1973, 1048, 1026, 5054, 1325, 5232, 12583, 1213, 3090, 10293, 1049, 11169, 2328, 1060, 2175, 2491, 2983, 1271, 3235, 1006, 5910, 1091, 17522, 1005, 30756, 2983, 1060, 11228, 31860, 12008, 1005, 11133, 1112, 1009, 2161, 1679, 3195, 3812, 28054, 158, 4979, 1048, 1026, 22823, 1222, 77, 1303, 5544, 7548, 1870, 2247, 1049, 5407, 1271, 1783, 1048, 4343, 12139, 10022, 1721, 24956, 1054, 1734, 13705, 1006, 2869, 1005, 1026, 6545, 22040, 12834, 4750, 1005, 6631, 8434, 1068, 1006, 17522, 1005, 14875, 3812, 28054, 158, 1973, 9212, 1048, 1213, 1852, 1060, 9782, 15289, 1664, 1132, 19933, 11464, 1043, 1026, 6976, 6326, 27093, 1054, 8375, 4547, 2688, 1132, 10328, 7979, 1068, 1048, 1026, 10744, 2374, 1049, 6523, 1009, 2693, 1006, 9928, 21632, 1005, 1160, 21632, 1068, 1005, 10992, 1990, 1049, 22823, 1222, 77, 1303, 1005, 1006, 2175, 2491, 2983, 8514, 9847, 1006, 4493, 1009, 1048, 10801, 8183, 5573, 1049, 1048, 1006, 1134, 3448, 1100, 1006, 6068, 12890, 1006, 2376, 4058, 71, 1005, 1664, 1132, 11464, 6510, 1663, 1068, 1048, 1026, 22823, 1222, 77, 1303, 28203, 3301, 43, 5478, 1096, 1026, 13743, 1177, 1048, 1006, 1134, 79, 1471, 1381, 1006, 7972, 1005, 1124, 9488, 1048, 18475, 1026, 11602, 1048, 5544, 5149, 1026, 10744, 1159, 4750, 1005, 28339, 1159, 2742, 1406, 20930, 9881, 13464, 158, 15208, 7517, 1157, 1006, 2552, 1491, 3908, 2037, 1062, 3951, 2262, 1009, 30240, 7217, 6638, 1043, 1858, 30456, 1009, 7828, 3952, 1009, 15693, 1271, 6106, 1068, 1026, 22823, 1222, 77, 1303, 1005, 16252, 1303, 1114, 18812, 3517, 9003, 9475, 1026, 2568, 2793, 1118, 2125, 3952, 1847, 28735, 1357, 18812, 1054, 5045, 4028, 1005, 1986, 6621, 1049, 9295, 1005, 1060, 2376, 4058, 1126, 2793, 17796, 1048, 1068, 4855, 1026, 22823, 1222, 77, 1303, 1072, 12557, 1009, 9368, 2909, 3654, 1026, 21951, 1009, 2824, 1422, 2744, 17218, 1973, 1048, 1026, 6976, 1005, 3408, 1596, 3456, 1166, 1043, 1006, 22009, 6007, 1005, 1048, 4292, 1807, 4961, 1187, 9586, 1009, 28807, 1054, 8750, 1068, 1048, 1058, 10992, 4797, 1006, 2175, 2491, 2983, 3301, 46, 13219, 3745, 2315, 4694, 1048, 1006, 22009, 7263, 1318, 7152, 1197, 2122, 3865, 1005, 1048, 2333, 2781, 1124, 6106, 30167, 1187, 4810, 26001, 1049, 11169, 2340, 1807, 1751, 1049, 2930, 2999, 3904, 1049, 5109, 1406, 9847, 1006, 10852, 1060, 1134, 79, 1471, 2904, 1024, 2871, 11123, 31757, 1060, 17595, 2201, 29333, 1060, 21604, 9356, 1973, 1048, 1026, 6976, 1566, 1195, 5313, 1188, 1118, 4320, 2624, 1043, 1006, 18812, 12890, 1134, 79, 1471, 1005, 2376, 4058, 1126, 1005, 1048, 1986, 1132, 20723, 1400, 1009, 3124, 1058, 4064, 1006, 9743, 1009, 2464, 1068, 7304, 1664, 1132, 11278, 3866, 1402, 1068, 22866, 11549, 1026, 22823, 1222, 77, 3784, 2824, 1422, 2744, 8651, 14307, 3301, 43, 1068, 1026, 5731, 1616, 1160, 5759, 8989, 3192, 1058, 1234, 11517, 1054, 13250, 1026, 5606, 10268, 1048, 2177, 17017, 1043, 1006, 5579, 1009, 13177, 1258, 1047, 1009, 9368, 1005, 19587, 1406, 25321, 1079, 4243, 11123, 8514, 1973, 1178, 3654, 8290, 1026, 13971, 1147, 1049, 6724, 10268, 1043, 1006, 22009, 6007, 1072, 5239, 1009, 4531, 1026, 10744, 4750, 1009, 2303, 1043, 1006, 1224, 14069, 29671, 3021, 1461, 2462, 6720, 1009, 13324, 11097, 2670, 1060, 1063, 7231, 18030, 1973, 1048, 1006, 7898, 1060, 9705, 1096, 19185, 5298, 1068, 1048, 1664, 1132, 19933, 11464, 6326, 11860, 1043, 1006, 2175, 2491, 2983, 1049, 10744, 20, 4967, 1117, 3291, 1271, 6106, 1049, 2999, 9678, 1005, 3587, 1049, 3090, 1005, 4758, 1049, 4898, 1072, 2956, 14765, 11974, 2155, 4537, 18, 1309, 1998, 1846, 1060, 9743, 1009, 20984, 2656, 4800, 1184, 6588, 1048, 3028, 8596, 8133, 1236, 10801, 1294, 6780, 10157, 1229, 4319, 3233, 2485, 4957, 1005, 1058, 13886, 1049, 2826, 5120, 1033, 10939, 1006, 3028, 1751, 1406, 1973, 1006, 2670, 1060, 1063, 7231, 60, 6846, 17112, 1106, 1423, 3426, 4148, 1009, 23809, 4549, 13796, 1060, 1134, 79, 1471, 1973, 1048, 1006, 9782, 1096, 3435, 1009, 1094, 3597, 1005, 5966, 25233, 10044, 1140, 1365, 1006, 7972, 1005, 1006, 30602, 18, 1571, 1026, 3489, 1096, 7508, 10830, 1132, 10429, 1068, 1026, 11974, 10293, 1005, 2952, 1009, 28807, 6383, 1423, 1066, 1973, 1048, 2350, 3540, 1566, 1596, 8364, 1005, 2089, 1826, 1118, 3505, 20, 2200, 17256, 1026, 2011, 1060, 2552, 1491, 5111, 4666, 5239, 1005, 29731, 1079, 1048, 1006, 5966, 1225, 1026, 1994, 1027, 1009, 7005, 1006, 4455, 1009, 2089, 3361, 6481, 1060, 4263, 6451, 14107, 1005, 1663, 1044, 1770, 1303, 3994, 1124, 6535, 18, 3587, 7972, 15010, 1005, 22009, 6007, 6383, 1423, 1066, 7468, 1079, 1058, 1006, 21604, 1471, 8944, 1048, 1664, 1132, 19933, 3750, 11993, 1068, 1026, 22823, 1222, 77, 1303, 1826, 18359, 23416, 1072, 10744, 1005, 1058, 4292, 4987, 5434, 4895, 6201, 1295, 1160, 26104, 10048, 1132, 2824, 1422, 2744, 1005, 1160, 5807, 1026, 2863, 1118, 3971, 1009, 4987, 1406, 14407, 3236, 1106, 1423, 1066, 3021, 2628, 1045, 13768, 21766, 24192, 17990, 1060, 18812, 3517, 1973, 1048, 1006, 2323, 1049, 2803, 1048, 1026, 10744, 1096, 22823, 1222, 77, 1599, 1072, 1531, 2511, 4597, 2759, 1049, 9295, 7187, 1072, 2386, 15208, 7517, 1157, 1006, 23545, 6007, 10528, 4042, 1606, 86, 25126, 1349, 5256, 28749, 9174, 1973, 1048, 1026, 5054, 1096, 22834, 1233, 13639, 1005, 1048, 1687, 1566, 1225, 20842, 1072, 25683, 5153, 1006, 1351, 1275, 2339, 10528, 2540, 1048, 1026, 12271, 2374, 1184, 15940, 20, 3720, 20086, 6638, 1048, 1006, 23545, 3904, 17814, 18, 19045, 22649, 1124, 6106, 1187, 26001, 1049, 5109, 1049, 2956, 10948, 1852, 1060, 9782, 18, 9881, 13464, 158, 1973, 1048, 1026, 12834, 4279, 6631, 8434, 1068, 1026, 3099, 4750, 2328, 1009, 3974, 9790, 1005, 1048, 1616, 1298, 22132, 1024, 1132, 5870, 1068, 1006, 17522, 1060, 2935, 1049, 18529, 5153, 5806, 2247, 1009, 6825, 1026, 2826, 5120, 1026, 22823, 1222, 77, 1303, 22866, 1724, 71, 1026, 6545, 7809, 1005, 2480, 3958, 1132, 9200, 7958, 1533, 2670, 1060, 1063, 7231, 18030, 3512, 2462, 6720, 1009, 17059, 25919, 1048, 1006, 21604, 1471, 1598, 16330, 2252, 1124, 2266, 18405, 1679, 1858, 1048, 2908, 1046, 1048, 1006, 8621, 1464, 1208, 1463, 6106, 1068, 1026, 22823, 1222, 77, 7895, 2462, 6720, 9847, 1006, 4493, 1009, 12139, 1006, 4380, 1049, 18687, 10773, 1304, 1068, 18655, 14196, 16247, 1006, 6471, 1656, 1054, 28807, 5735, 158, 85, 22534, 1973, 1048, 1009, 3124, 1096, 4230, 1026, 18687, 10773, 1304, 1068, 7190, 4961, 1271, 3235, 16247, 1666, 3890, 1054, 20773, 21043, 1138, 6483, 16791, 1026, 5497, 1009, 9797, 12660, 1118, 1664, 1132, 9586, 1271, 9488, 1005, 6535, 31502, 1571, 2793, 7266, 1069, 1048, 11230, 21727, 2067, 1945, 1009, 2252, 1124, 12100, 1048, 5632, 1656, 1049, 6976, 20723, 1188, 1114, 9782, 1704, 6483, 1318, 4979, 1026, 9797, 1009, 1006, 7972, 13177, 11969, 3994, 1006, 22009, 6007, 1068, 1048, 1006, 2921, 2067, 75, 1060, 22866, 8237, 1049, 8208, 5313, 1188, 2328, 1009, 31648, 17892, 5653, 6781, 18343, 85, 22534, 25919, 1048, 1006, 21604, 9356, 1072, 5633, 1009, 2156, 18070, 1098, 9224, 1006, 4769, 1009, 31687, 1009, 2252, 1124, 8272, 11041, 2950, 1213, 22823, 1222, 77, 1303, 1049, 10744, 1060, 13120, 20, 1, 12467, 1468, 31701, 3504, 84, 1279, 12852, 1014, 16012, 1132, 10190, 2972, 1054, 31082, 1446, 37, 1067, 1671, 1111, 1126, 1299, 18501, 14529, 7138, 20482, 31082, 19797, 16762, 8177, 20482, 1005, 1809, 7254, 3626, 20482, 9175, 1680, 1159, 1493, 1184, 1068, 1419, 1005, 21932, 1766, 15315, 16381, 1493, 1049, 5906, 1069, 31225, 1271, 16804, 1312, 4558, 23548, 1009, 3374, 1005, 1187, 3145, 31493, 9039, 3713, 1298, 11146, 9773, 1124, 3145, 13847, 1159, 12982, 7465, 11963, 1005, 23207, 9582, 3812, 5697, 40, 1095, 3574, 71, 1235, 3609, 1009, 14234, 9076, 1175, 15129, 40, 1095, 10435, 86, 20482, 22173, 1095, 19461, 18, 1484, 3507, 1351, 1291, 1006, 5244, 1053, 1088, 2975, 1779, 3734, 1315, 20604, 7995, 2934, 1132, 4679, 3538, 18262, 169, 11585, 3069, 6066, 2098, 1816, 1014, 1096, 1044, 2666, 1322, 1663, 10110, 1058, 30844, 17265, 2276, 1096, 18693, 1048, 1294, 1501, 10514, 1114, 20753, 8479, 7022, 1187, 8222, 1932, 1054, 2878, 2787, 1068, 1419, 1132, 10110, 1009, 4327, 1058, 30844, 6386, 2307, 1072, 11019, 58, 2878, 2787, 16993, 15926, 20, 2034, 12038, 1596, 25130, 1072, 1238, 1072, 1531, 1083, 0, 1049, 1807, 2904, 1016, 1468, 19215, 12795, 9140, 1236, 1175, 2488, 2737, 1375, 1081, 1093, 4753, 22526, 1066, 2904, 31566, 24552, 8372, 3629, 1068, 1261, 2252, 1124, 26849, 9012, 4108, 4331, 1271, 24918, 1187, 16448, 1005, 19437, 2539, 16627, 10914, 1157, 26849, 3264, 6997, 1106, 1917, 89, 1495, 10316, 19437, 2088, 16627, 1118, 1094, 3964, 5773, 20, 1505, 17879, 1006, 3364, 1187, 16627, 11017, 32, 24552, 1826, 27667, 1006, 2350, 20781, 1728, 6771, 4682, 2653, 4731, 26028, 1663, 6476, 3068, 5933, 20, 25577, 18691, 1261, 3473, 3513, 3635, 1072, 2666, 1005, 1657, 6889, 1334, 1177, 3909, 11915, 1020, 1080, 18741, 1155, 1151, 18053, 1008, 3200, 1131, 1058, 12892, 1198, 22214, 1409, 1013, 2219, 1006, 3892, 1056, 1058, 1048, 12297, 1009, 2832, 1115, 11569, 27401, 2039, 1051, 1531, 1198, 4717, 95, 3410, 1662, 1034, 15262, 1009, 6668, 1048, 2579, 1118, 2733, 1018, 1384, 2972, 17417, 1198, 2813, 8034, 1216, 3208, 1030, 4869, 1051, 1048, 1718, 1051, 4889, 1151, 91, 1259, 1010, 1009, 3235, 12892, 1048, 3504, 71, 18776, 7039, 1090, 1010, 1198, 2229, 1216, 95, 18610, 1116, 18610, 1009, 2446, 1668, 1200, 85, 10952, 1014, 1008, 91, 5922, 19597, 1048, 4560, 1519, 18580, 1009, 3921, 1009, 1493, 1972, 3921, 3008, 1031, 2699, 1009, 2666, 6442, 1049, 2709, 1175, 1953, 1032, 8050, 95, 10190, 2972, 1009, 2666, 1704, 5357, 11963, 8995, 1160, 1325, 5321, 3057, 12277, 4378, 1096, 1094, 9421, 1009, 2531, 3964, 4725, 1054, 1675, 7678, 23, 7139, 80, 1965, 24555, 89, 1123, 10214, 1063, 1529, 1013, 2196, 1128, 62, 20, 1675, 7678, 23, 7139, 80, 1965, 24555, 89, 1123, 74, 1225, 1307, 30322, 18020, 31001, 3698, 1229, 10560, 31001, 3742, 1654, 1005, 6151, 2978, 1404, 4722, 3516, 19320, 1138, 10743, 1225, 1044, 14390, 1009, 1675, 4673, 7560, 4722, 18105, 1005, 1195, 8354, 1054, 3977, 3590, 46, 14676, 13840, 1014, 1175, 14676, 24785, 13, 1040, 1175, 11019, 14326, 89, 2904, 1016, 1468, 11317, 1705, 11078, 2002, 3132, 4608, 20482, 11317, 1705, 11078, 2002, 3132, 1160, 1298, 5822, 1024, 1132, 13002, 1049, 20482, 1054, 11078, 2002, 3132, 2979, 1664, 1132, 1456, 15383, 1009, 1044, 13806, 1305, 14583, 1159, 1026, 25698, 11272, 1044, 7166, 6460, 1322, 1026, 2161, 1049, 20427, 20, 6202, 1014, 2122, 21396, 1096, 31638, 2340, 3684, 1919, 1026, 20482, 11317, 1054, 11078, 2002, 3132, 2950, 1009, 20482, 11317, 1054, 11078, 2002, 3132, 1456, 15383, 1299, 1298, 1756, 3144, 8028, 1680, 14576, 32, 1299, 1225, 1026, 3282, 1009, 14576, 1322, 2073, 3616, 1048, 1299, 1225, 2098, 1105, 3728, 1009, 13471, 3438, 1009, 7214, 1027, 1009, 15743, 1175, 25698, 6749, 13891, 1066, 4355, 1182, 2673, 1344, 1220, 1029, 3169, 3158, 6220, 25155, 2852, 3983, 5561, 6959, 21647, 1313, 2077, 4282, 1006, 1852, 1049, 3366, 2751, 1060, 11543, 58, 10108, 26816, 1101, 1009, 11689, 10916, 32, 8997, 20693, 4729, 1554, 6670, 15926, 30921, 33, 20693, 1009, 19230, 2032, 12515, 1163, 21835, 1816, 1014, 1313, 57, 8131, 3209, 6383, 22212, 80, 1965, 18, 1044, 1187, 3145, 31255, 1049, 5203, 1009, 8552, 1009, 18971, 4889, 29592, 80, 1965, 1096, 5319, 1132, 6299, 1009, 29592, 80, 1965, 1043, 1026, 1428, 1752, 4530, 1976, 6180, 1068, 1132, 1650, 1089, 1554, 1535 ]

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

[ 6338, 1060, 18812, 3517, 1049, 1561, 4228, 44, 23376, 1068, 18216, 1206, 12513, 1009, 7471, 5144, 1452, 1049, 7809, 1206, 1006, 1264, 1481, 1021, 2585, 17207, 5052, 10512, 13849, 1206, 12513, 1009, 4937, 5157, 5906, 2094, 4637, 1416, 1005, 13342, 2489, 1006, 11368, 9575, 31144, 2078, 1009, 19543, 5144, 1452, 1049, 7809, 1206, 1006, 1264, 24396, 1704, 6483, 18343, 85, 22534, 20448, 16822, 7607, 1379, 1006, 9782, 4345, 1048, 7312, 1043, 1006, 4281, 1009, 9586, 1060, 3845, 18766, 1272, 1009, 7846, 1049, 2956, 2794, 1302, 1014, 1349, 1134, 3448, 1100, 21604, 9356, 2552, 1491, 3908, 2037, 18812, 3517, 1005, 5744, 6164, 1009, 2638, 1758, 1009, 8836, 4323, 2956, 3106, 7231, 60, 3377, 50, 158, 85, 22534, 9847, 1006, 4493, 1049, 9032, 1005, 1973, 1048, 1026, 11230, 8450, 1005, 1124, 6535, 3634, 18, 2328, 1009, 6099, 12499, 1005, 31671, 18, 8290, 1026, 22823, 1222, 77, 1303, 1049, 10744, 1118, 1178, 1044, 1680, 3654, 1068, 1026, 11974, 1009, 20773, 11038, 1026, 1428, 1973, 1178, 1006, 2360, 7858, 1049, 3090, 10293, 1049, 1908, 1704, 2670, 1060, 1134, 3448, 1100, 9881, 13464, 5280, 22215, 1132, 13203, 4653, 91, 29578, 2695, 11235, 1038, 1005, 9998, 1027, 1009, 11369, 1118, 9507, 3599, 4039, 1026, 5975, 1060, 30602, 1068, 6631, 1006, 9985, 1322, 1006, 2175, 2491, 2983, 1049, 10744, 1009, 4284, 18860, 8514, 1973, 1048, 1026, 5054, 1325, 5232, 12583, 1213, 3090, 10293, 1049, 11169, 2328, 1060, 2175, 2491, 2983, 1271, 3235, 1006, 5910, 1091, 17522, 1005, 30756, 2983, 1060, 11228, 31860, 12008, 1005, 11133, 1112, 1009, 2161, 1679, 3195, 3812, 28054, 158, 4979, 1048, 1026, 22823, 1222, 77, 1303, 5544, 7548, 1870, 2247, 1049, 5407, 1271, 1783, 1048, 4343, 12139, 10022, 1721, 24956, 1054, 1734, 13705, 1006, 2869, 1005, 1026, 6545, 22040, 12834, 4750, 1005, 6631, 8434, 1068, 1006, 17522, 1005, 14875, 3812, 28054, 158, 1973, 9212, 1048, 1213, 1852, 1060, 9782, 15289, 1664, 1132, 19933, 11464, 1043, 1026, 6976, 6326, 27093, 1054, 8375, 4547, 2688, 1132, 10328, 7979, 1068, 1048, 1026, 10744, 2374, 1049, 6523, 1009, 2693, 1006, 9928, 21632, 1005, 1160, 21632, 1068, 1005, 10992, 1990, 1049, 22823, 1222, 77, 1303, 1005, 1006, 2175, 2491, 2983, 8514, 9847, 1006, 4493, 1009, 1048, 10801, 8183, 5573, 1049, 1048, 1006, 1134, 3448, 1100, 1006, 6068, 12890, 1006, 2376, 4058, 71, 1005, 1664, 1132, 11464, 6510, 1663, 1068, 1048, 1026, 22823, 1222, 77, 1303, 28203, 3301, 43, 5478, 1096, 1026, 13743, 1177, 1048, 1006, 1134, 79, 1471, 1381, 1006, 7972, 1005, 1124, 9488, 1048, 18475, 1026, 11602, 1048, 5544, 5149, 1026, 10744, 1159, 4750, 1005, 28339, 1159, 2742, 1406, 20930, 9881, 13464, 158, 15208, 7517, 1157, 1006, 2552, 1491, 3908, 2037, 1062, 3951, 2262, 1009, 30240, 7217, 6638, 1043, 1858, 30456, 1009, 7828, 3952, 1009, 15693, 1271, 6106, 1068, 1026, 22823, 1222, 77, 1303, 1005, 16252, 1303, 1114, 18812, 3517, 9003, 9475, 1026, 2568, 2793, 1118, 2125, 3952, 1847, 28735, 1357, 18812, 1054, 5045, 4028, 1005, 1986, 6621, 1049, 9295, 1005, 1060, 2376, 4058, 1126, 2793, 17796, 1048, 1068, 4855, 1026, 22823, 1222, 77, 1303, 1072, 12557, 1009, 9368, 2909, 3654, 1026, 21951, 1009, 2824, 1422, 2744, 17218, 1973, 1048, 1026, 6976, 1005, 3408, 1596, 3456, 1166, 1043, 1006, 22009, 6007, 1005, 1048, 4292, 1807, 4961, 1187, 9586, 1009, 28807, 1054, 8750, 1068, 1048, 1058, 10992, 4797, 1006, 2175, 2491, 2983, 3301, 46, 13219, 3745, 2315, 4694, 1048, 1006, 22009, 7263, 1318, 7152, 1197, 2122, 3865, 1005, 1048, 2333, 2781, 1124, 6106, 30167, 1187, 4810, 26001, 1049, 11169, 2340, 1807, 1751, 1049, 2930, 2999, 3904, 1049, 5109, 1406, 9847, 1006, 10852, 1060, 1134, 79, 1471, 2904, 1024, 2871, 11123, 31757, 1060, 17595, 2201, 29333, 1060, 21604, 9356, 1973, 1048, 1026, 6976, 1566, 1195, 5313, 1188, 1118, 4320, 2624, 1043, 1006, 18812, 12890, 1134, 79, 1471, 1005, 2376, 4058, 1126, 1005, 1048, 1986, 1132, 20723, 1400, 1009, 3124, 1058, 4064, 1006, 9743, 1009, 2464, 1068, 7304, 1664, 1132, 11278, 3866, 1402, 1068, 22866, 11549, 1026, 22823, 1222, 77, 3784, 2824, 1422, 2744, 8651, 14307, 3301, 43, 1068, 1026, 5731, 1616, 1160, 5759, 8989, 3192, 1058, 1234, 11517, 1054, 13250, 1026, 5606, 10268, 1048, 2177, 17017, 1043, 1006, 5579, 1009, 13177, 1258, 1047, 1009, 9368, 1005, 19587, 1406, 25321, 1079, 4243, 11123, 8514, 1973, 1178, 3654, 8290, 1026, 13971, 1147, 1049, 6724, 10268, 1043, 1006, 22009, 6007, 1072, 5239, 1009, 4531, 1026, 10744, 4750, 1009, 2303, 1043, 1006, 1224, 14069, 29671, 3021, 1461, 2462, 6720, 1009, 13324, 11097, 2670, 1060, 1063, 7231, 18030, 1973, 1048, 1006, 7898, 1060, 9705, 1096, 19185, 5298, 1068, 1048, 1664, 1132, 19933, 11464, 6326, 11860, 1043, 1006, 2175, 2491, 2983, 1049, 10744, 20, 4967, 1117, 3291, 1271, 6106, 1049, 2999, 9678, 1005, 3587, 1049, 3090, 1005, 4758, 1049, 4898, 1072, 2956, 14765, 11974, 2155, 4537, 18, 1309, 1998, 1846, 1060, 9743, 1009, 20984, 2656, 4800, 1184, 6588, 1048, 3028, 8596, 8133, 1236, 10801, 1294, 6780, 10157, 1229, 4319, 3233, 2485, 4957, 1005, 1058, 13886, 1049, 2826, 5120, 1033, 10939, 1006, 3028, 1751, 1406, 1973, 1006, 2670, 1060, 1063, 7231, 60, 6846, 17112, 1106, 1423, 3426, 4148, 1009, 23809, 4549, 13796, 1060, 1134, 79, 1471, 1973, 1048, 1006, 9782, 1096, 3435, 1009, 1094, 3597, 1005, 5966, 25233, 10044, 1140, 1365, 1006, 7972, 1005, 1006, 30602, 18, 1571, 1026, 3489, 1096, 7508, 10830, 1132, 10429, 1068, 1026, 11974, 10293, 1005, 2952, 1009, 28807, 6383, 1423, 1066, 1973, 1048, 2350, 3540, 1566, 1596, 8364, 1005, 2089, 1826, 1118, 3505, 20, 2200, 17256, 1026, 2011, 1060, 2552, 1491, 5111, 4666, 5239, 1005, 29731, 1079, 1048, 1006, 5966, 1225, 1026, 1994, 1027, 1009, 7005, 1006, 4455, 1009, 2089, 3361, 6481, 1060, 4263, 6451, 14107, 1005, 1663, 1044, 1770, 1303, 3994, 1124, 6535, 18, 3587, 7972, 15010, 1005, 22009, 6007, 6383, 1423, 1066, 7468, 1079, 1058, 1006, 21604, 1471, 8944, 1048, 1664, 1132, 19933, 3750, 11993, 1068, 1026, 22823, 1222, 77, 1303, 1826, 18359, 23416, 1072, 10744, 1005, 1058, 4292, 4987, 5434, 4895, 6201, 1295, 1160, 26104, 10048, 1132, 2824, 1422, 2744, 1005, 1160, 5807, 1026, 2863, 1118, 3971, 1009, 4987, 1406, 14407, 3236, 1106, 1423, 1066, 3021, 2628, 1045, 13768, 21766, 24192, 17990, 1060, 18812, 3517, 1973, 1048, 1006, 2323, 1049, 2803, 1048, 1026, 10744, 1096, 22823, 1222, 77, 1599, 1072, 1531, 2511, 4597, 2759, 1049, 9295, 7187, 1072, 2386, 15208, 7517, 1157, 1006, 23545, 6007, 10528, 4042, 1606, 86, 25126, 1349, 5256, 28749, 9174, 1973, 1048, 1026, 5054, 1096, 22834, 1233, 13639, 1005, 1048, 1687, 1566, 1225, 20842, 1072, 25683, 5153, 1006, 1351, 1275, 2339, 10528, 2540, 1048, 1026, 12271, 2374, 1184, 15940, 20, 3720, 20086, 6638, 1048, 1006, 23545, 3904, 17814, 18, 19045, 22649, 1124, 6106, 1187, 26001, 1049, 5109, 1049, 2956, 10948, 1852, 1060, 9782, 18, 9881, 13464, 158, 1973, 1048, 1026, 12834, 4279, 6631, 8434, 1068, 1026, 3099, 4750, 2328, 1009, 3974, 9790, 1005, 1048, 1616, 1298, 22132, 1024, 1132, 5870, 1068, 1006, 17522, 1060, 2935, 1049, 18529, 5153, 5806, 2247, 1009, 6825, 1026, 2826, 5120, 1026, 22823, 1222, 77, 1303, 22866, 1724, 71, 1026, 6545, 7809, 1005, 2480, 3958, 1132, 9200, 7958, 1533, 2670, 1060, 1063, 7231, 18030, 3512, 2462, 6720, 1009, 17059, 25919, 1048, 1006, 21604, 1471, 1598, 16330, 2252, 1124, 2266, 18405, 1679, 1858, 1048, 2908, 1046, 1048, 1006, 8621, 1464, 1208, 1463, 6106, 1068, 1026, 22823, 1222, 77, 7895, 2462, 6720, 9847, 1006, 4493, 1009, 12139, 1006, 4380, 1049, 18687, 10773, 1304, 1068, 18655, 14196, 16247, 1006, 6471, 1656, 1054, 28807, 5735, 158, 85, 22534, 1973, 1048, 1009, 3124, 1096, 4230, 1026, 18687, 10773, 1304, 1068, 7190, 4961, 1271, 3235, 16247, 1666, 3890, 1054, 20773, 21043, 1138, 6483, 16791, 1026, 5497, 1009, 9797, 12660, 1118, 1664, 1132, 9586, 1271, 9488, 1005, 6535, 31502, 1571, 2793, 7266, 1069, 1048, 11230, 21727, 2067, 1945, 1009, 2252, 1124, 12100, 1048, 5632, 1656, 1049, 6976, 20723, 1188, 1114, 9782, 1704, 6483, 1318, 4979, 1026, 9797, 1009, 1006, 7972, 13177, 11969, 3994, 1006, 22009, 6007, 1068, 1048, 1006, 2921, 2067, 75, 1060, 22866, 8237, 1049, 8208, 5313, 1188, 2328, 1009, 31648, 17892, 5653, 6781, 18343, 85, 22534, 25919, 1048, 1006, 21604, 9356, 1072, 5633, 1009, 2156, 18070, 1098, 9224, 1006, 4769, 1009, 31687, 1009, 2252, 1124, 8272, 11041, 2950, 1213, 22823, 1222, 77, 1303, 1049, 10744, 1060, 13120, 20, 1, 12467, 1468, 31701, 3504, 84, 1279, 12852, 1014, 16012, 1132, 10190, 2972, 1054, 31082, 1446, 37, 1067, 1671, 1111, 1126, 1299, 18501, 14529, 7138, 20482, 31082, 19797, 16762, 8177, 20482, 1005, 1809, 7254, 3626, 20482, 9175, 1680, 1159, 1493, 1184, 1068, 1419, 1005, 21932, 1766, 15315, 16381, 1493, 1049, 5906, 1069, 31225, 1271, 16804, 1312, 4558, 23548, 1009, 3374, 1005, 1187, 3145, 31493, 9039, 3713, 1298, 11146, 9773, 1124, 3145, 13847, 1159, 12982, 7465, 11963, 1005, 23207, 9582, 3812, 5697, 40, 1095, 3574, 71, 1235, 3609, 1009, 14234, 9076, 1175, 15129, 40, 1095, 10435, 86, 20482, 22173, 1095, 19461, 18, 1484, 3507, 1351, 1291, 1006, 5244, 1053, 1088, 2975, 1779, 3734, 1315, 20604, 7995, 2934, 1132, 4679, 3538, 18262, 169, 11585, 3069, 6066, 2098, 1816, 1014, 1096, 1044, 2666, 1322, 1663, 10110, 1058, 30844, 17265, 2276, 1096, 18693, 1048, 1294, 1501, 10514, 1114, 20753, 8479, 7022, 1187, 8222, 1932, 1054, 2878, 2787, 1068, 1419, 1132, 10110, 1009, 4327, 1058, 30844, 6386, 2307, 1072, 11019, 58, 2878, 2787, 16993, 15926, 20, 2034, 12038, 1596, 25130, 1072, 1238, 1072, 1531, 1083, 0, 1049, 1807, 2904, 1016, 1468, 19215, 12795, 9140, 1236, 1175, 2488, 2737, 1375, 1081, 1093, 4753, 22526, 1066, 2904, 31566, 24552, 8372, 3629, 1068, 1261, 2252, 1124, 26849, 9012, 4108, 4331, 1271, 24918, 1187, 16448, 1005, 19437, 2539, 16627, 10914, 1157, 26849, 3264, 6997, 1106, 1917, 89, 1495, 10316, 19437, 2088, 16627, 1118, 1094, 3964, 5773, 20, 1505, 17879, 1006, 3364, 1187, 16627, 11017, 32, 24552, 1826, 27667, 1006, 2350, 20781, 1728, 6771, 4682, 2653, 4731, 26028, 1663, 6476, 3068, 5933, 20, 25577, 18691, 1261, 3473, 3513, 3635, 1072, 2666, 1005, 1657, 6889, 1334, 1177, 3909, 11915, 1020, 1080, 18741, 1155, 1151, 18053, 1008, 3200, 1131, 1058, 12892, 1198, 22214, 1409, 1013, 2219, 1006, 3892, 1056, 1058, 1048, 12297, 1009, 2832, 1115, 11569, 27401, 2039, 1051, 1531, 1198, 4717, 95, 3410, 1662, 1034, 15262, 1009, 6668, 1048, 2579, 1118, 2733, 1018, 1384, 2972, 17417, 1198, 2813, 8034, 1216, 3208, 1030, 4869, 1051, 1048, 1718, 1051, 4889, 1151, 91, 1259, 1010, 1009, 3235, 12892, 1048, 3504, 71, 18776, 7039, 1090, 1010, 1198, 2229, 1216, 95, 18610, 1116, 18610, 1009, 2446, 1668, 1200, 85, 10952, 1014, 1008, 91, 5922, 19597, 1048, 4560, 1519, 18580, 1009, 3921, 1009, 1493, 1972, 3921, 3008, 1031, 2699, 1009, 2666, 6442, 1049, 2709, 1175, 1953, 1032, 8050, 95, 10190, 2972, 1009, 2666, 1704, 5357, 11963, 8995, 1160, 1325, 5321, 3057, 12277, 4378, 1096, 1094, 9421, 1009, 2531, 3964, 4725, 1054, 1675, 7678, 23, 7139, 80, 1965, 24555, 89, 1123, 10214, 1063, 1529, 1013, 2196, 1128, 62, 20, 1675, 7678, 23, 7139, 80, 1965, 24555, 89, 1123, 74, 1225, 1307, 30322, 18020, 31001, 3698, 1229, 10560, 31001, 3742, 1654, 1005, 6151, 2978, 1404, 4722, 3516, 19320, 1138, 10743, 1225, 1044, 14390, 1009, 1675, 4673, 7560, 4722, 18105, 1005, 1195, 8354, 1054, 3977, 3590, 46, 14676, 13840, 1014, 1175, 14676, 24785, 13, 1040, 1175, 11019, 14326, 89, 2904, 1016, 1468, 11317, 1705, 11078, 2002, 3132, 4608, 20482, 11317, 1705, 11078, 2002, 3132, 1160, 1298, 5822, 1024, 1132, 13002, 1049, 20482, 1054, 11078, 2002, 3132, 2979, 1664, 1132, 1456, 15383, 1009, 1044, 13806, 1305, 14583, 1159, 1026, 25698, 11272, 1044, 7166, 6460, 1322, 1026, 2161, 1049, 20427, 20, 6202, 1014, 2122, 21396, 1096, 31638, 2340, 3684, 1919, 1026, 20482, 11317, 1054, 11078, 2002, 3132, 2950, 1009, 20482, 11317, 1054, 11078, 2002, 3132, 1456, 15383, 1299, 1298, 1756, 3144, 8028, 1680, 14576, 32, 1299, 1225, 1026, 3282, 1009, 14576, 1322, 2073, 3616, 1048, 1299, 1225, 2098, 1105, 3728, 1009, 13471, 3438, 1009, 7214, 1027, 1009, 15743, 1175, 25698, 6749, 13891, 1066, 4355, 1182, 2673, 1344, 1220, 1029, 3169, 3158, 6220, 25155, 2852, 3983, 5561, 6959, 21647, 1313, 2077, 4282, 1006, 1852, 1049, 3366, 2751, 1060, 11543, 58, 10108, 26816, 1101, 1009, 11689, 10916, 32, 8997, 20693, 4729, 1554, 6670, 15926, 30921, 33, 20693, 1009, 19230, 2032, 12515, 1163, 21835, 1816, 1014, 1313, 57, 8131, 3209, 6383, 22212, 80, 1965, 18, 1044, 1187, 3145, 31255, 1049, 5203, 1009, 8552, 1009, 18971, 4889, 29592, 80, 1965, 1096, 5319, 1132, 6299, 1009, 29592, 80, 1965, 1043, 1026, 1428, 1752, 4530, 1976, 6180, 1068, 1132, 1650, 1089, 1554, 1535 ]

[ 1049, 29307, 1303, 1533, 73, 2520, 6452, 27834, 1048, 1976, 5265, 11061, 15289, 3725, 3628, 1054, 1791, 6824, 10956, 1898, 89, 1451, 1394, 1009, 17252, 1665, 21060, 1005, 5729, 1006, 10016, 1009, 19659, 1054, 4278, 1009, 1023, 1774, 7165, 1009, 17026, 10394, 5, 24995, 1043, 3050, 3803, 1134, 3308, 1079, 1048, 4548, 6286, 1068, 5680, 17100, 1048, 3634, 1178, 5849, 12087, 1009, 1871, 5, 7440, 1672, 1927, 3027, 1054, 2612, 1048, 1160, 4800, 3746, 1024, 1124, 10457, 2229, 1041, 10158, 3725, 3628, 1072, 1048, 1058, 5, 20543, 1233, 1240, 3131, 1009, 17308, 1233, 14223, 1009, 3140, 2830, 1005, 1048, 1026, 3189, 3019, 7838, 1318, 1058, 1976, 91, 1233, 22963, 2634, 25326, 1005, 3318, 28568, 5653, 6781, 13236, 1898, 976, 1063, 6386, 1096, 31650, 1054, 2220, 1026, 5449, 18, 1356, 1048, 21113, 1048, 1124, 31507, 14380, 2763, 3847, 13546, 83, 1087, 1056, 7639, 1068, 4771, 1130, 1054, 7653, 10992, 1016, 10764, 1006, 16220, 7963, 1009, 17252, 14518, 9225, 9512, 5754, 2007, 2018, 1026, 4461, 1009, 7684, 1446, 1990, 1005, 1009, 19236, 1485, 1990, 1276, 976, 1766, 16220, 1009, 17252, 1665, 3634, 1178, 15675, 29704, 1054, 2562, 1187, 7825, 6294, 4179, 1054, 1465, 12013, 5, 12547, 1793, 1157, 1006, 13674, 1049, 5731, 1068, 2317, 1326, 1024, 16220, 1048, 6326, 9126, 1009, 12906, 1271, 10740, 6599, 83, 1647, 8706, 1068, 2464, 1054, 2562, 1187, 4278, 10992, 1229, 6326, 5149, 12189, 1400, 1927, 15426, 17458, 8348, 1124, 22963, 1451, 1394, 11041, 1009, 2683, 1010, 1642, 7010, 1009, 2303, 1043, 1026, 9383, 1060, 6250, 1060, 3593, 2132, 158, 1276, 976, 2656, 1195, 1026, 9128, 1048, 22378, 1006, 16478, 1027, 1060, 17224, 1356, 7462, 20, 1587, 2626, 75, 1048, 7412, 1178, 9004, 1236, 29384, 8172, 1049, 9128, 18, 3871, 1371, 1048, 1124, 4761, 22229, 1006, 1224, 11520, 1149, 1005, 1132, 10385, 1026, 3282, 1233, 27729, 2007, 85, 1048, 1225, 7697, 1069, 1132, 2539, 10291, 1048, 1058, 2643, 1895, 1599, 1847, 26741, 14531, 1392, 1572, 1396, 1312, 1048, 1058, 5, 18027, 1439, 1027, 1124, 6286, 1276, 976, 1063, 17790, 1049, 9128, 29733, 1233, 28989, 1009, 8084, 1387, 6243, 1005, 6123, 6294, 1145, 1071, 2545, 39, 16790, 1005, 1726, 10740, 6599, 83, 1647, 1192, 2565, 9838, 1435, 1044, 27171, 1303, 1271, 19486, 1009, 17790, 1271, 31507, 14380, 1276, 976, 1766, 10233, 9243, 1206, 6048, 1009, 17026, 10394, 17197, 8897, 4125, 1006, 2593, 18743, 1006, 6264, 1184, 31861, 10028, 5, 2582, 1560, 3628, 1054, 2562, 1060, 1224, 3233, 2485, 1043, 1044, 2568, 1009, 6845, 2484, 1009, 7007, 7010, 5, 2582, 1560, 3628, 1009, 3227, 1206, 1009, 7461, 1276, 2830, 3344, 9176, 4265, 9062, 25, 10178, 43, 1049, 13740, 13355, 1005, 1049, 2985, 8015, 1009, 2224, 1009, 3049, 1009, 7269, 16633, 1679, 3140, 1072, 3099, 10648, 2098, 6945, 2595, 5, 2599, 1067, 132, 5264, 43, 3840, 1711, 1144, 145, 51, 2393, 53, 8111, 5, 2721, 5, 976, 1138, 5731, 1325, 1006, 4524, 3027, 1054, 4350, 1006, 8443, 2532, 2484, 1271, 6264, 1187, 24282, 29824, 1189, 9404, 1276, 976, 1063, 6973, 1049, 5731, 1068, 1026, 12834, 1158, 3851, 1351, 1893, 1114, 16208, 9226, 10404, 1005, 12165, 1961, 16834, 4402, 1435, 1124, 13164, 1068, 1752, 1094, 11788, 8821, 8473, 2915, 1793, 71, 1094, 1271, 13164, 3040, 5006, 1048, 1058, 29630, 1043, 29384, 12503, 1187, 17537, 10764, 1213, 10507, 1133, 1049, 12834, 1463, 1569, 2386, 5129, 3027, 4730, 2647, 3057, 9104, 1044, 5, 2099, 5765, 5077, 7296, 1054, 7401, 1009, 5110, 1009, 1268, 4154, 1229, 8220, 1357, 25749, 1060, 1691, 1020, 1950, 14890, 1411, 1009, 9100, 3027, 3941, 1026, 9459, 1100, 1068, 7461, 1060, 2618, 1009, 10591, 1009, 1782, 2744, 1068, 5, 2099, 9619, 1048, 2213, 1040, 1132, 12864, 1006, 9004, 1130, 1005, 1006, 7386, 1026, 6460, 10400, 1177, 2481, 1049, 12834, 1463, 1569, 4761, 12559, 7625, 1887, 1271, 5298, 5629, 2821, 1312, 1114, 7972, 1060, 5007, 1467, 15, 23439, 1605, 6307, 10282, 1159, 6387, 18072, 1636, 1291, 1005, 7188, 1291, 1556, 1707, 3022, 2097, 23930, 5502, 2866, 2897, 1072, 6432, 2007, 1051, 10561, 1439, 4185, 1038, 2682, 1026, 18504, 10394, 9805, 1672, 1094, 4751, 2460, 7869, 1005, 1054, 11465, 14075, 4224, 1236, 5, 21179, 6490, 1009, 6040, 73, 26597, 26638, 15242, 7327, 1435, 1044, 6980, 22455, 1114, 6406, 1049, 1009, 7624, 1048, 1058, 9923, 1044, 27627, 1506, 30985, 95, 5178, 2098, 1129, 1243, 1356, 1235, 1429, 1127, 3267, 1048, 6676, 1079, 1044, 2380, 2987, 1005, 1009, 4445, 5433, 2094, 1026, 1467, 1362, 10394, 14452, 17282, 1318, 1068, 1006, 13005, 1582, 1049, 6432, 1159, 5675, 25801, 4750, 8333, 9669, 1526, 4966, 1048, 1006, 9834, 5086, 1091, 22602, 1132, 1456, 1109, 3199, 7010, 21355, 1060, 13507, 1271, 5, 25674, 15987, 1026, 23439, 2598, 7404, 1379, 1006, 5579, 18049, 10764, 1233, 3513, 16777, 1060, 1224, 2131, 2094, 1005, 1060, 10996, 5, 1196, 6386, 15125, 10416, 5328, 25590, 6941, 24544, 21714, 3307, 1819, 1124, 3505, 90, 8864, 1049, 9128, 18, 1159, 26871, 1068, 1026, 15585, 11813, 1068, 1026, 2568, 13546, 1013, 19667, 5657, 5221, 25389, 1006, 29228, 1049, 12735, 24126, 1048, 1058, 15622, 8505, 1837, 26245, 1068, 5, 77, 4372, 1009, 5435, 1229, 1068, 2837, 13307, 3994, 1049, 4674, 6545, 1005, 3140, 1005, 1620, 7005, 1068, 1006, 2486, 4159, 25148, 14869, 2594, 6481, 1365, 2089, 10405, 18, 1026, 23439, 25824, 2464, 1160, 3027, 2220, 1026, 6432, 1124, 10529, 3437, 21890, 5, 1774, 4755, 7653, 1048, 1693, 26030, 1094, 11061, 1009, 1712, 19880, 6033, 6406, 1049, 22412, 3957, 1009, 5295, 1887, 1798, 3273, 1026, 23439, 13780, 1048, 1160, 1058, 7412, 1198, 1167, 1878, 1024, 1356, 5, 1774, 24704, 1009, 19236, 1485, 1990, 1049, 15346, 2340, 1195, 18666, 1026, 1098, 18255, 1006, 6375, 1049, 1235, 12788, 1309, 6588, 5, 1295, 1006, 27922, 1849, 1091, 1184, 26493, 1009, 3227, 2572, 1068, 1026, 8977, 1060, 3935, 2762, 2572, 1068, 1026, 2826, 1291, 5, 1643, 1068, 14656, 1048, 6326, 1178, 28029, 1356, 1235, 7757, 3590, 8848, 5920, 5381, 7859, 5319, 1124, 20339, 1049, 8977, 1060, 10574, 1049, 3040, 4140, 23448, 1203, 1035, 30754, 1044, 1712, 3603, 1213, 3319, 1049, 25162, 1005, 14099, 1187, 16539, 1533, 8135, 15426, 17458, 1157, 2252, 1124, 7653, 28379, 2039, 4837, 1054, 4278, 3579, 8444, 1043, 2068, 28363, 6199, 1544, 7963, 1009, 17252, 1665, 1479, 1006, 2355, 4492, 2218, 1698, 1005, 5379, 1356, 13926, 1009, 8258, 7478, 1479, 1026, 23439, 5, 28582, 1006, 5579, 1060, 7064, 1009, 23968, 26746, 1005, 1006, 24967, 2357, 1009, 1184, 19486, 24992, 2477, 5156, 1170, 1726, 31507, 14380, 1072, 9104, 1049, 13565, 1049, 7838, 16914, 5086, 1091, 6383, 15, 6307, 19032, 1026, 3041, 1009, 5295, 1887, 1048, 14704, 2916, 1009, 1422, 10847, 1846, 1009, 3037, 1580, 12234, 9488, 1365, 2127, 5430, 5, 1265, 1097, 5487, 1005, 1215, 5129, 1026, 12766, 9833, 20695, 2464, 1159, 1006, 5020, 1009, 10022, 14739, 1233, 4751, 1009, 1467, 1362, 10394, 9805, 1672, 11217, 2247, 1060, 4380, 16177, 1072, 8658, 1009, 3811, 13331, 0, 1487, 3531, 21, 62, 2599, 5529, 1049, 6307, 18, 1048, 16020, 5085, 1657, 5, 10972, 19659, 1005, 1048, 1734, 4440, 17892, 4970, 1412, 2653, 5473, 10022, 1463, 1569, 10623, 13546, 16042, 9745, 2909, 11265, 1026, 5549, 31765, 5593, 1094, 3621, 1322, 3530, 7841, 10022, 15251, 2105, 3952, 1009, 5295, 1887, 1006, 2754, 1215, 5129, 3765, 1318, 1068, 1261, 1054, 2612, 4306, 3328, 1009, 4350, 1048, 5, 1091, 1037, 2315, 1178, 2512, 8316, 1068, 1006, 3486, 16208, 1049, 4898, 1049, 2826, 5120, 1068, 1026, 9179, 5, 10101, 1026, 7825, 6294, 2816, 25801, 1005, 1006, 27729, 1005, 8536, 1329, 23694, 1068, 1006, 11447, 1009, 24819, 14008, 1394, 5, 1295, 6326, 1178, 27064, 1118, 1668, 2446, 1009, 3638, 1054, 10155, 1009, 27729, 15648, 27956, 5295, 1887, 1048, 1596, 6626, 9011, 21633, 15486, 1026, 5054, 1049, 18504, 10394, 14452, 1054, 1675, 3056, 3905, 27501, 1063, 8859, 1009, 18504, 10394, 14452, 21358, 4984, 20817, 2818, 2818, 64, 4212, 40, 3831, 2818, 4053, 5, 5940, 18143, 1063, 12236, 1049, 9128, 1068, 1006, 11348, 45, 1032, 15473, 1112, 624, 1009, 2350, 5314, 1009, 2350, 4761, 10749, 1063, 11348, 58, 1189, 1105, 2484, 624, 1009, 2350, 3905, 1043, 1026, 4461, 1060, 5943, 1009, 11520, 1149, 1005, 1173, 1485, 5423, 12559, 1138, 14831, 1233, 12842, 3155, 1005, 6389, 1009, 8631, 1294, 6453, 11348, 4757, 15473, 1166, 624, 24267, 1766, 16539, 1009, 9128, 6251, 1402, 1054, 30468, 13749, 29051, 1138, 3129, 1049, 2956, 1005, 1271, 5998, 8196, 1242, 1114, 28117, 3019, 4898, 1009, 4751, 6033, 13956, 1049, 3407, 1009, 13051, 8220, 1356, 12766, 9833, 1596, 1030, 1580, 1054, 2612, 2848, 5500, 1398, 1016, 1898, 976, 1063, 4751, 1009, 10574, 1009, 18504, 10394, 14452, 1096, 1044, 10062, 2512, 1068, 1026, 3189, 1049, 12834, 1072, 2930, 1576, 24501, 1005, 1225, 1044, 5654, 10492, 1114, 21301, 3725, 3628, 1463, 6428, 1206, 6941, 24113, 1048, 2007, 1065, 8869, 1060, 10574, 1009, 1044, 1206, 2574, 1184, 3040, 11176, 2643, 1044, 10507, 1133, 8557, 1114, 5337, 12277, 1505, 5, 2932, 1124, 6476, 1048, 4099, 6613, 29164, 1006, 16425, 3019, 4898, 1005, 1048, 2374, 26678, 1044, 3090, 22963, 15478, 1629, 1049, 5449, 18, 1009, 1871, 1006, 1048, 1026, 12834, 1160, 1008, 15465, 1054, 3865, 1026, 3050, 14377, 17848, 1206, 10382, 18, 1006, 11520, 1149, 5, 2502, 6453, 2170, 23874, 1006, 5943, 1009, 1173, 1485, 5423, 1048, 3004, 3530, 6453, 2643, 1059, 976, 1138, 26991, 1327, 1124, 9488, 1048, 1054, 3460, 4034, 1090, 1627, 1068, 9854, 1026, 10507, 1133, 1060, 4751, 1049, 1467, 1362, 10394, 14452, 1072, 1235, 5449, 20, 1505, 3005, 7843, 2315, 1048, 3244, 8587, 2837, 4034, 1005, 13832, 1068, 5, 1010, 26991, 3040, 3493, 18, 1058, 7596, 1656, 18785, 14205, 1009, 1201, 2101, 18359, 18258, 1041, 3273, 1571, 1327, 5, 28051, 1954, 1402, 5891, 14787, 1010, 1009, 16539, 1206, 6048, 1009, 18504, 10394, 14452, 1059, 976, 1766, 1338, 15880, 2130, 1009, 18504, 10394, 9805, 1672, 3027, 1054, 2612, 1048, 16617, 1040, 15315, 1118, 12059, 1009, 9636, 23678, 8673, 1005, 5680, 1160, 3040, 1040, 1094, 2869, 1009, 12820, 5580, 1233, 1187, 8631, 3045, 4837, 1693, 2007, 12285, 13990, 20957, 14008, 1394, 1114, 1834, 1049, 19659, 1511, 23416, 1054, 10155, 1009, 27729, 5, 1399, 1095, 8659, 8601, 5239, 4099, 1093, 2315, 1048, 1026, 1994, 6294, 1468, 4172, 1026, 1266, 10188, 1118, 4497, 1009, 1184, 1009, 6746, 1060, 5, 16024, 1061, 1416, 1049, 7538, 18, 1213, 7757, 1060, 4751, 1009, 18504, 10394, 14452, 1072, 11064, 2261, 1348, 1009, 7055, 5, 1013, 26240, 2905, 1005, 10151, 1166, 1173, 1229, 1048, 14008, 1040, 1006, 8937, 7461, 1049, 25209, 2037, 1680, 1159, 2261, 1040, 1455, 6294, 1902, 23448, 2162, 1095, 1040, 1026, 22420, 1187, 1994, 168, 1498, 1010, 1059, 976, 4477, 1698, 1006, 19236, 1485, 1990, 1009, 1044, 2380, 1009, 25162, 1048, 8294, 1657, 1009, 1094, 5556, 22116, 1005, 1048, 5, 1331, 2075, 79, 1068, 7005, 1068, 1006, 5337, 15655, 1094, 2700, 1009, 17026, 80, 2147, 1048, 1566, 26875, 5613, 3145, 6476, 1048, 4099, 1093, 2315, 1072, 3407, 1048, 23820, 1026, 8220, 8394, 1072, 1073, 48, 50, 1487, 3531, 21, 62, 7251, 2007, 2873, 1202, 1124, 4496, 1898, 5056, 27989, 1009, 2156, 3606, 19743, 1009, 9128, 32, 16367, 1010, 33, 30614, 1045, 5, 8392, 2494, 13451, 11348, 1366, 1218, 1010, 31053, 18168, 1048, 1006, 10574, 2374, 4661, 1114, 9421, 1009, 2306, 3935, 20, 8384, 1096, 5, 1364, 2014, 1236, 1006, 3935, 2762, 1072, 6460, 1009, 1307, 12272, 1059, 20273, 2494, 3811, 11535, 2284, 1307, 19743, 1009, 18504, 10394, 14452, 32, 7493, 74, 4065, 21295, 8424, 1338, 15880, 2130, 1009, 3996, 3157, 1171, 17530, 1766, 30614, 9243, 3586, 6251, 1402, 1114, 3811, 11535, 1114, 4783, 11348, 6107, 15880, 2130, 1009, 6960, 1171, 1416, 624, 24572, 13451, 14646, 13217, 30614, 9243, 15662, 1657, 1118, 24369, 3737, 3842, 1166, 1072, 8407, 1118, 1422, 1783, 1276, 46, 1401, 1045, 1678, 15662, 1118, 24369, 3737, 1005, 12272, 22094, 33, 1005, 1318, 1338, 15880, 2130, 1998, 15662, 1118, 12272, 5, 23938, 1166, 1495, 1213, 2285, 6460, 1009, 1844, 1059, 10124, 1424, 2237, 10996, 22023, 1371, 19111, 1132, 30614, 1045, 1678, 1187, 1338, 15880, 2130, 1009, 6960, 1171, 1416, 1048, 5, 1241, 1492, 2643, 12272, 3122, 2585, 1048, 1160, 27512, 17252, 1665, 3050, 1832, 1005, 2464, 1072, 20005, 1327, 1132, 11348, 2048, 74, 1689, 624, 5, 2905, 9814, 2381, 1121, 1059, 6155, 15, 8335, 1132, 7533, 1717, 1187, 31220, 23150, 11222, 1049, 7822, 6806, 1049, 23439, 1005, 1049, 6612, 6822, 1717, 1199, 1202, 2007, 6269, 10175, 2237, 10642, 1048, 1294, 5747, 1184, 4330, 3567, 1505, 1616, 8743, 1006, 11348, 16890, 3752, 1085, 4159, 624, 13546, 623, 13441, 9243, 624, 2453, 1060, 13451, 1338, 15880, 1337, 1009, 6960, 1171, 6495, 2742, 1159, 1836, 1114, 3811, 1996, 11788, 5, 16042, 2765, 1059 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29307, 1303, 1533, 73, 2520, 6452, 27834, 1048, 1976, 5265, 11061, 15289, 3725, 3628, 1054, 1791, 6824, 10956, 1898, 89, 1451, 1394, 1009, 17252, 1665, 21060, 1005, 5729, 1006, 10016, 1009, 19659, 1054, 4278, 1009, 1023, 1774, 7165, 1009, 17026, 10394, 5, 24995, 1043, 3050, 3803, 1134, 3308, 1079, 1048, 4548, 6286, 1068, 5680, 17100, 1048, 3634, 1178, 5849, 12087, 1009, 1871, 5, 7440, 1672, 1927, 3027, 1054, 2612, 1048, 1160, 4800, 3746, 1024, 1124, 10457, 2229, 1041, 10158, 3725, 3628, 1072, 1048, 1058, 5, 20543, 1233, 1240, 3131, 1009, 17308, 1233, 14223, 1009, 3140, 2830, 1005, 1048, 1026, 3189, 3019, 7838, 1318, 1058, 1976, 91, 1233, 22963, 2634, 25326, 1005, 3318, 28568, 5653, 6781, 13236, 1898, 976, 1063, 6386, 1096, 31650, 1054, 2220, 1026, 5449, 18, 1356, 1048, 21113, 1048, 1124, 31507, 14380, 2763, 3847, 13546, 83, 1087, 1056, 7639, 1068, 4771, 1130, 1054, 7653, 10992, 1016, 10764, 1006, 16220, 7963, 1009, 17252, 14518, 9225, 9512, 5754, 2007, 2018, 1026, 4461, 1009, 7684, 1446, 1990, 1005, 1009, 19236, 1485, 1990, 1276, 976, 1766, 16220, 1009, 17252, 1665, 3634, 1178, 15675, 29704, 1054, 2562, 1187, 7825, 6294, 4179, 1054, 1465, 12013, 5, 12547, 1793, 1157, 1006, 13674, 1049, 5731, 1068, 2317, 1326, 1024, 16220, 1048, 6326, 9126, 1009, 12906, 1271, 10740, 6599, 83, 1647, 8706, 1068, 2464, 1054, 2562, 1187, 4278, 10992, 1229, 6326, 5149, 12189, 1400, 1927, 15426, 17458, 8348, 1124, 22963, 1451, 1394, 11041, 1009, 2683, 1010, 1642, 7010, 1009, 2303, 1043, 1026, 9383, 1060, 6250, 1060, 3593, 2132, 158, 1276, 976, 2656, 1195, 1026, 9128, 1048, 22378, 1006, 16478, 1027, 1060, 17224, 1356, 7462, 20, 1587, 2626, 75, 1048, 7412, 1178, 9004, 1236, 29384, 8172, 1049, 9128, 18, 3871, 1371, 1048, 1124, 4761, 22229, 1006, 1224, 11520, 1149, 1005, 1132, 10385, 1026, 3282, 1233, 27729, 2007, 85, 1048, 1225, 7697, 1069, 1132, 2539, 10291, 1048, 1058, 2643, 1895, 1599, 1847, 26741, 14531, 1392, 1572, 1396, 1312, 1048, 1058, 5, 18027, 1439, 1027, 1124, 6286, 1276, 976, 1063, 17790, 1049, 9128, 29733, 1233, 28989, 1009, 8084, 1387, 6243, 1005, 6123, 6294, 1145, 1071, 2545, 39, 16790, 1005, 1726, 10740, 6599, 83, 1647, 1192, 2565, 9838, 1435, 1044, 27171, 1303, 1271, 19486, 1009, 17790, 1271, 31507, 14380, 1276, 976, 1766, 10233, 9243, 1206, 6048, 1009, 17026, 10394, 17197, 8897, 4125, 1006, 2593, 18743, 1006, 6264, 1184, 31861, 10028, 5, 2582, 1560, 3628, 1054, 2562, 1060, 1224, 3233, 2485, 1043, 1044, 2568, 1009, 6845, 2484, 1009, 7007, 7010, 5, 2582, 1560, 3628, 1009, 3227, 1206, 1009, 7461, 1276, 2830, 3344, 9176, 4265, 9062, 25, 10178, 43, 1049, 13740, 13355, 1005, 1049, 2985, 8015, 1009, 2224, 1009, 3049, 1009, 7269, 16633, 1679, 3140, 1072, 3099, 10648, 2098, 6945, 2595, 5, 2599, 1067, 132, 5264, 43, 3840, 1711, 1144, 145, 51, 2393, 53, 8111, 5, 2721, 5, 976, 1138, 5731, 1325, 1006, 4524, 3027, 1054, 4350, 1006, 8443, 2532, 2484, 1271, 6264, 1187, 24282, 29824, 1189, 9404, 1276, 976, 1063, 6973, 1049, 5731, 1068, 1026, 12834, 1158, 3851, 1351, 1893, 1114, 16208, 9226, 10404, 1005, 12165, 1961, 16834, 4402, 1435, 1124, 13164, 1068, 1752, 1094, 11788, 8821, 8473, 2915, 1793, 71, 1094, 1271, 13164, 3040, 5006, 1048, 1058, 29630, 1043, 29384, 12503, 1187, 17537, 10764, 1213, 10507, 1133, 1049, 12834, 1463, 1569, 2386, 5129, 3027, 4730, 2647, 3057, 9104, 1044, 5, 2099, 5765, 5077, 7296, 1054, 7401, 1009, 5110, 1009, 1268, 4154, 1229, 8220, 1357, 25749, 1060, 1691, 1020, 1950, 14890, 1411, 1009, 9100, 3027, 3941, 1026, 9459, 1100, 1068, 7461, 1060, 2618, 1009, 10591, 1009, 1782, 2744, 1068, 5, 2099, 9619, 1048, 2213, 1040, 1132, 12864, 1006, 9004, 1130, 1005, 1006, 7386, 1026, 6460, 10400, 1177, 2481, 1049, 12834, 1463, 1569, 4761, 12559, 7625, 1887, 1271, 5298, 5629, 2821, 1312, 1114, 7972, 1060, 5007, 1467, 15, 23439, 1605, 6307, 10282, 1159, 6387, 18072, 1636, 1291, 1005, 7188, 1291, 1556, 1707, 3022, 2097, 23930, 5502, 2866, 2897, 1072, 6432, 2007, 1051, 10561, 1439, 4185, 1038, 2682, 1026, 18504, 10394, 9805, 1672, 1094, 4751, 2460, 7869, 1005, 1054, 11465, 14075, 4224, 1236, 5, 21179, 6490, 1009, 6040, 73, 26597, 26638, 15242, 7327, 1435, 1044, 6980, 22455, 1114, 6406, 1049, 1009, 7624, 1048, 1058, 9923, 1044, 27627, 1506, 30985, 95, 5178, 2098, 1129, 1243, 1356, 1235, 1429, 1127, 3267, 1048, 6676, 1079, 1044, 2380, 2987, 1005, 1009, 4445, 5433, 2094, 1026, 1467, 1362, 10394, 14452, 17282, 1318, 1068, 1006, 13005, 1582, 1049, 6432, 1159, 5675, 25801, 4750, 8333, 9669, 1526, 4966, 1048, 1006, 9834, 5086, 1091, 22602, 1132, 1456, 1109, 3199, 7010, 21355, 1060, 13507, 1271, 5, 25674, 15987, 1026, 23439, 2598, 7404, 1379, 1006, 5579, 18049, 10764, 1233, 3513, 16777, 1060, 1224, 2131, 2094, 1005, 1060, 10996, 5, 1196, 6386, 15125, 10416, 5328, 25590, 6941, 24544, 21714, 3307, 1819, 1124, 3505, 90, 8864, 1049, 9128, 18, 1159, 26871, 1068, 1026, 15585, 11813, 1068, 1026, 2568, 13546, 1013, 19667, 5657, 5221, 25389, 1006, 29228, 1049, 12735, 24126, 1048, 1058, 15622, 8505, 1837, 26245, 1068, 5, 77, 4372, 1009, 5435, 1229, 1068, 2837, 13307, 3994, 1049, 4674, 6545, 1005, 3140, 1005, 1620, 7005, 1068, 1006, 2486, 4159, 25148, 14869, 2594, 6481, 1365, 2089, 10405, 18, 1026, 23439, 25824, 2464, 1160, 3027, 2220, 1026, 6432, 1124, 10529, 3437, 21890, 5, 1774, 4755, 7653, 1048, 1693, 26030, 1094, 11061, 1009, 1712, 19880, 6033, 6406, 1049, 22412, 3957, 1009, 5295, 1887, 1798, 3273, 1026, 23439, 13780, 1048, 1160, 1058, 7412, 1198, 1167, 1878, 1024, 1356, 5, 1774, 24704, 1009, 19236, 1485, 1990, 1049, 15346, 2340, 1195, 18666, 1026, 1098, 18255, 1006, 6375, 1049, 1235, 12788, 1309, 6588, 5, 1295, 1006, 27922, 1849, 1091, 1184, 26493, 1009, 3227, 2572, 1068, 1026, 8977, 1060, 3935, 2762, 2572, 1068, 1026, 2826, 1291, 5, 1643, 1068, 14656, 1048, 6326, 1178, 28029, 1356, 1235, 7757, 3590, 8848, 5920, 5381, 7859, 5319, 1124, 20339, 1049, 8977, 1060, 10574, 1049, 3040, 4140, 23448, 1203, 1035, 30754, 1044, 1712, 3603, 1213, 3319, 1049, 25162, 1005, 14099, 1187, 16539, 1533, 8135, 15426, 17458, 1157, 2252, 1124, 7653, 28379, 2039, 4837, 1054, 4278, 3579, 8444, 1043, 2068, 28363, 6199, 1544, 7963, 1009, 17252, 1665, 1479, 1006, 2355, 4492, 2218, 1698, 1005, 5379, 1356, 13926, 1009, 8258, 7478, 1479, 1026, 23439, 5, 28582, 1006, 5579, 1060, 7064, 1009, 23968, 26746, 1005, 1006, 24967, 2357, 1009, 1184, 19486, 24992, 2477, 5156, 1170, 1726, 31507, 14380, 1072, 9104, 1049, 13565, 1049, 7838, 16914, 5086, 1091, 6383, 15, 6307, 19032, 1026, 3041, 1009, 5295, 1887, 1048, 14704, 2916, 1009, 1422, 10847, 1846, 1009, 3037, 1580, 12234, 9488, 1365, 2127, 5430, 5, 1265, 1097, 5487, 1005, 1215, 5129, 1026, 12766, 9833, 20695, 2464, 1159, 1006, 5020, 1009, 10022, 14739, 1233, 4751, 1009, 1467, 1362, 10394, 9805, 1672, 11217, 2247, 1060, 4380, 16177, 1072, 8658, 1009, 3811, 13331, 0, 1487, 3531, 21, 62, 2599, 5529, 1049, 6307, 18, 1048, 16020, 5085, 1657, 5, 10972, 19659, 1005, 1048, 1734, 4440, 17892, 4970, 1412, 2653, 5473, 10022, 1463, 1569, 10623, 13546, 16042, 9745, 2909, 11265, 1026, 5549, 31765, 5593, 1094, 3621, 1322, 3530, 7841, 10022, 15251, 2105, 3952, 1009, 5295, 1887, 1006, 2754, 1215, 5129, 3765, 1318, 1068, 1261, 1054, 2612, 4306, 3328, 1009, 4350, 1048, 5, 1091, 1037, 2315, 1178, 2512, 8316, 1068, 1006, 3486, 16208, 1049, 4898, 1049, 2826, 5120, 1068, 1026, 9179, 5, 10101, 1026, 7825, 6294, 2816, 25801, 1005, 1006, 27729, 1005, 8536, 1329, 23694, 1068, 1006, 11447, 1009, 24819, 14008, 1394, 5, 1295, 6326, 1178, 27064, 1118, 1668, 2446, 1009, 3638, 1054, 10155, 1009, 27729, 15648, 27956, 5295, 1887, 1048, 1596, 6626, 9011, 21633, 15486, 1026, 5054, 1049, 18504, 10394, 14452, 1054, 1675, 3056, 3905, 27501, 1063, 8859, 1009, 18504, 10394, 14452, 21358, 4984, 20817, 2818, 2818, 64, 4212, 40, 3831, 2818, 4053, 5, 5940, 18143, 1063, 12236, 1049, 9128, 1068, 1006, 11348, 45, 1032, 15473, 1112, 624, 1009, 2350, 5314, 1009, 2350, 4761, 10749, 1063, 11348, 58, 1189, 1105, 2484, 624, 1009, 2350, 3905, 1043, 1026, 4461, 1060, 5943, 1009, 11520, 1149, 1005, 1173, 1485, 5423, 12559, 1138, 14831, 1233, 12842, 3155, 1005, 6389, 1009, 8631, 1294, 6453, 11348, 4757, 15473, 1166, 624, 24267, 1766, 16539, 1009, 9128, 6251, 1402, 1054, 30468, 13749, 29051, 1138, 3129, 1049, 2956, 1005, 1271, 5998, 8196, 1242, 1114, 28117, 3019, 4898, 1009, 4751, 6033, 13956, 1049, 3407, 1009, 13051, 8220, 1356, 12766, 9833, 1596, 1030, 1580, 1054, 2612, 2848, 5500, 1398, 1016, 1898, 976, 1063, 4751, 1009, 10574, 1009, 18504, 10394, 14452, 1096, 1044, 10062, 2512, 1068, 1026, 3189, 1049, 12834, 1072, 2930, 1576, 24501, 1005, 1225, 1044, 5654, 10492, 1114, 21301, 3725, 3628, 1463, 6428, 1206, 6941, 24113, 1048, 2007, 1065, 8869, 1060, 10574, 1009, 1044, 1206, 2574, 1184, 3040, 11176, 2643, 1044, 10507, 1133, 8557, 1114, 5337, 12277, 1505, 5, 2932, 1124, 6476, 1048, 4099, 6613, 29164, 1006, 16425, 3019, 4898, 1005, 1048, 2374, 26678, 1044, 3090, 22963, 15478, 1629, 1049, 5449, 18, 1009, 1871, 1006, 1048, 1026, 12834, 1160, 1008, 15465, 1054, 3865, 1026, 3050, 14377, 17848, 1206, 10382, 18, 1006, 11520, 1149, 5, 2502, 6453, 2170, 23874, 1006, 5943, 1009, 1173, 1485, 5423, 1048, 3004, 3530, 6453, 2643, 1059, 976, 1138, 26991, 1327, 1124, 9488, 1048, 1054, 3460, 4034, 1090, 1627, 1068, 9854, 1026, 10507, 1133, 1060, 4751, 1049, 1467, 1362, 10394, 14452, 1072, 1235, 5449, 20, 1505, 3005, 7843, 2315, 1048, 3244, 8587, 2837, 4034, 1005, 13832, 1068, 5, 1010, 26991, 3040, 3493, 18, 1058, 7596, 1656, 18785, 14205, 1009, 1201, 2101, 18359, 18258, 1041, 3273, 1571, 1327, 5, 28051, 1954, 1402, 5891, 14787, 1010, 1009, 16539, 1206, 6048, 1009, 18504, 10394, 14452, 1059, 976, 1766, 1338, 15880, 2130, 1009, 18504, 10394, 9805, 1672, 3027, 1054, 2612, 1048, 16617, 1040, 15315, 1118, 12059, 1009, 9636, 23678, 8673, 1005, 5680, 1160, 3040, 1040, 1094, 2869, 1009, 12820, 5580, 1233, 1187, 8631, 3045, 4837, 1693, 2007, 12285, 13990, 20957, 14008, 1394, 1114, 1834, 1049, 19659, 1511, 23416, 1054, 10155, 1009, 27729, 5, 1399, 1095, 8659, 8601, 5239, 4099, 1093, 2315, 1048, 1026, 1994, 6294, 1468, 4172, 1026, 1266, 10188, 1118, 4497, 1009, 1184, 1009, 6746, 1060, 5, 16024, 1061, 1416, 1049, 7538, 18, 1213, 7757, 1060, 4751, 1009, 18504, 10394, 14452, 1072, 11064, 2261, 1348, 1009, 7055, 5, 1013, 26240, 2905, 1005, 10151, 1166, 1173, 1229, 1048, 14008, 1040, 1006, 8937, 7461, 1049, 25209, 2037, 1680, 1159, 2261, 1040, 1455, 6294, 1902, 23448, 2162, 1095, 1040, 1026, 22420, 1187, 1994, 168, 1498, 1010, 1059, 976, 4477, 1698, 1006, 19236, 1485, 1990, 1009, 1044, 2380, 1009, 25162, 1048, 8294, 1657, 1009, 1094, 5556, 22116, 1005, 1048, 5, 1331, 2075, 79, 1068, 7005, 1068, 1006, 5337, 15655, 1094, 2700, 1009, 17026, 80, 2147, 1048, 1566, 26875, 5613, 3145, 6476, 1048, 4099, 1093, 2315, 1072, 3407, 1048, 23820, 1026, 8220, 8394, 1072, 1073, 48, 50, 1487, 3531, 21, 62, 7251, 2007, 2873, 1202, 1124, 4496, 1898, 5056, 27989, 1009, 2156, 3606, 19743, 1009, 9128, 32, 16367, 1010, 33, 30614, 1045, 5, 8392, 2494, 13451, 11348, 1366, 1218, 1010, 31053, 18168, 1048, 1006, 10574, 2374, 4661, 1114, 9421, 1009, 2306, 3935, 20, 8384, 1096, 5, 1364, 2014, 1236, 1006, 3935, 2762, 1072, 6460, 1009, 1307, 12272, 1059, 20273, 2494, 3811, 11535, 2284, 1307, 19743, 1009, 18504, 10394, 14452, 32, 7493, 74, 4065, 21295, 8424, 1338, 15880, 2130, 1009, 3996, 3157, 1171, 17530, 1766, 30614, 9243, 3586, 6251, 1402, 1114, 3811, 11535, 1114, 4783, 11348, 6107, 15880, 2130, 1009, 6960, 1171, 1416, 624, 24572, 13451, 14646, 13217, 30614, 9243, 15662, 1657, 1118, 24369, 3737, 3842, 1166, 1072, 8407, 1118, 1422, 1783, 1276, 46, 1401, 1045, 1678, 15662, 1118, 24369, 3737, 1005, 12272, 22094, 33, 1005, 1318, 1338, 15880, 2130, 1998, 15662, 1118, 12272, 5, 23938, 1166, 1495, 1213, 2285, 6460, 1009, 1844, 1059, 10124, 1424, 2237, 10996, 22023, 1371, 19111, 1132, 30614, 1045, 1678, 1187, 1338, 15880, 2130, 1009, 6960, 1171, 1416, 1048, 5, 1241, 1492, 2643, 12272, 3122, 2585, 1048, 1160, 27512, 17252, 1665, 3050, 1832, 1005, 2464, 1072, 20005, 1327, 1132, 11348, 2048, 74, 1689, 624, 5, 2905, 9814, 2381, 1121, 1059, 6155, 15, 8335, 1132, 7533, 1717, 1187, 31220, 23150, 11222, 1049, 7822, 6806, 1049, 23439, 1005, 1049, 6612, 6822, 1717, 1199, 1202, 2007, 6269, 10175, 2237, 10642, 1048, 1294, 5747, 1184, 4330, 3567, 1505, 1616, 8743, 1006, 11348, 16890, 3752, 1085, 4159, 624, 13546, 623, 13441, 9243, 624, 2453, 1060, 13451, 1338, 15880, 1337, 1009, 6960, 1171, 6495, 2742, 1159, 1836, 1114, 3811, 1996, 11788, 5, 16042, 2765, 1059 ]

[ 2106, 8769, 1060, 4581, 1206, 1160, 1049, 5064, 5443, 1024, 1206, 15319, 1015, 1020, 1667, 11203, 5891, 23278, 1371, 1233, 11719, 1049, 12960, 1294, 13695, 4440, 1009, 10669, 13942, 1229, 1132, 5891, 4629, 11116, 3027, 12918, 2876, 1009, 2303, 1043, 1026, 2446, 1009, 10598, 29191, 1322, 1006, 23085, 3253, 8606, 1060, 29535, 1814, 8606, 6347, 1371, 1006, 20001, 1009, 1664, 1132, 20193, 1060, 23692, 1122, 2094, 3027, 1159, 3145, 1026, 4506, 1095, 1870, 1026, 31043, 26456, 1005, 1132, 1008, 1363, 1122, 168, 26169, 1860, 1230, 1005, 10432, 17409, 13544, 86, 26133, 1006, 29535, 1814, 1096, 7948, 1009, 3251, 19772, 2170, 1890, 1026, 2568, 1009, 8172, 18, 1294, 30740, 2848, 9147, 19772, 3758, 2644, 1371, 1054, 4466, 1005, 1596, 6919, 3500, 1072, 11456, 6571, 1005, 1327, 8903, 1159, 16711, 1631, 1005, 23184, 29011, 1048, 24968, 1043, 1026, 1090, 1612, 1100, 1048, 1225, 2924, 29003, 14360, 1132, 1132, 89, 6205, 1049, 3037, 4457, 4378, 11322, 8691, 10405, 1679, 30740, 16037, 1160, 1998, 1094, 29535, 1814, 10105, 1118, 1044, 1998, 29176, 1096, 1184, 14481, 1309, 1318, 2246, 1132, 1132, 89, 6205, 2496, 9446, 1026, 5239, 1060, 5295, 1346, 30428, 1040, 14887, 1014, 1525, 1049, 26917, 2526, 1737, 73, 1669, 1071, 20929, 13204, 15970, 1022, 1230, 15, 1005, 1058, 10752, 1213, 2790, 1060, 3525, 1061, 1416, 4118, 1316, 11282, 1048, 24278, 20, 1063, 2323, 1060, 5261, 3757, 1009, 1834, 1311, 1007, 19, 30213, 3097, 5090, 1006, 1132, 89, 2616, 1371, 1996, 1009, 2073, 2143, 29176, 1049, 2291, 5120, 1043, 8559, 1060, 1373, 1179, 1300, 16242, 1482, 4415, 2411, 88, 1129, 1896, 1837, 1094, 1132, 89, 2484, 15338, 1065, 1669, 1054, 4188, 4128, 1471, 19, 2040, 14252, 3735, 1132, 1791, 5684, 1058, 1821, 1040, 14360, 1044, 3872, 29176, 2474, 2520, 1337, 26423, 675, 4470, 1471, 19, 1334, 3657, 1005, 1054, 15207, 1118, 18007, 31366, 5624, 85, 1049, 2568, 1994, 6217, 3995, 1218, 1061, 1165, 15059, 14628, 1118, 6681, 1887, 1060, 9130, 5547, 1187, 21863, 33, 675, 4470, 1471, 19, 1334, 3657, 1187, 21863, 33, 675, 4470, 1471, 19, 1334, 3657, 18, 1118, 15617, 6270, 1055, 1114, 9130, 3388, 1187, 21863, 33, 1049, 12628, 1118, 20233, 1187, 5684, 1155, 1167, 3728, 1074, 33, 1005, 1054, 4464, 1118, 3090, 1060, 2068, 1049, 2823, 1060, 29535, 1814, 2474, 2440, 2404, 23085, 23011, 11259, 1677, 1026, 1235, 29760, 1006, 29535, 1814, 5658, 1216, 7854, 21791, 12036, 1005, 30167, 1048, 16513, 1046, 675, 1094, 7923, 4788, 2286, 72, 1194, 7409, 3367, 29535, 1814, 21930, 1049, 1831, 13204, 15970, 1022, 1230, 2170, 1006, 2323, 1060, 5261, 3757, 1009, 1834, 1311, 1007, 19, 30213, 3097, 5090, 1006, 1132, 89, 2616, 1371, 1996, 1009, 2073, 2143, 29176, 1049, 2291, 5120, 1043, 8559, 1060, 1373, 1179, 1300, 16242, 6062, 2568, 1225, 2738, 1072, 11602, 9150, 1343, 1048, 2649, 1553, 1006, 1751, 3388, 1060, 10764, 10432, 1060, 3525, 1061, 1416, 4118, 1316, 11282, 2097, 1224, 22287, 5547, 1058, 1132, 89, 2372, 1068, 9164, 1791, 1132, 89, 6205, 1068, 9164, 1791, 1132, 89, 6205, 1060, 5295, 16930, 1006, 23184, 29011, 1005, 1026, 16711, 1631, 20, 2494, 7443, 1006, 3525, 1061, 1416, 4118, 23879, 2909, 8553, 1005, 1160, 1044, 5212, 10062, 1072, 3090, 1060, 29535, 1814, 15520, 1006, 20147, 1944, 1005, 1006, 20147, 4886, 3757, 1009, 1834, 1033, 1095, 1672, 13136, 3525, 1061, 2001, 3447, 3220, 8639, 1357, 4581, 1049, 2568, 1994, 6217, 1005, 1751, 1049, 2568, 1359, 1081, 19492, 1060, 29535, 9642, 1679, 2688, 3634, 1178, 2058, 1166, 1734, 1791, 1028, 1628, 2216, 9190, 1480, 17363, 1020, 17881, 1058, 7200, 1046, 1213, 2823, 2751, 1060, 29535, 9642, 1072, 3319, 1060, 14279, 1109, 1410, 5209, 2027, 6867, 2006, 3242, 1330, 4287, 1814, 1049, 1033, 2526, 20388, 4274, 4140, 1006, 29535, 1814, 1096, 20653, 1118, 2156, 2093, 8177, 4010, 4837, 1821, 1580, 1114, 2618, 1860, 2860, 1118, 1044, 11602, 10296, 28083, 1048, 24278, 1072, 2277, 3681, 1009, 5297, 1511, 5090, 1006, 1178, 12362, 10085, 3830, 1118, 1044, 11602, 24088, 85, 1048, 18800, 1006, 14590, 1271, 2156, 5314, 1378, 26669, 1060, 29535, 1814, 1005, 1006, 4581, 5836, 12983, 1060, 1015, 1626, 76, 2571, 1060, 29535, 16242, 4083, 1484, 75, 2650, 1005, 1054, 2089, 5715, 18725, 1160, 2755, 1026, 14316, 1009, 1132, 89, 2484, 1005, 1638, 2233, 1154, 1271, 2156, 2093, 8177, 1060, 29535, 1814, 1005, 1118, 1616, 5680, 18729, 15969, 1890, 2693, 1006, 1834, 1879, 2823, 1060, 29535, 1814, 1049, 8752, 4328, 11165, 1225, 12854, 15207, 1043, 1044, 17794, 4118, 23879, 5137, 6742, 2149, 2721, 0, 1006, 17939, 0, 3929, 1132, 21863, 1327, 26562, 1005, 11991, 1229, 1159, 1058, 4052, 6039, 1040, 1044, 1109, 2126, 1303, 1049, 2823, 1049, 1132, 2351, 1048, 1058, 29642, 1357, 4281, 1009, 2125, 1963, 3712, 19945, 1679, 9004, 2040, 1187, 13868, 2179, 1468, 1005, 1025, 3728, 1074, 15319, 2349, 4154, 1554, 1063, 14279, 9130, 1155, 1167, 19118, 1762, 1430, 1006, 10764, 1372, 1230, 1049, 6466, 1100, 3249, 8348, 2276, 1048, 1026, 2386, 1049, 5443, 1024, 1009, 1675, 1646, 27684, 1307, 1006, 1487, 0, 10377, 7768, 1049, 21848, 1370, 1060, 1064, 27731, 1814, 1060, 29535, 16242, 8601, 2269, 12007, 1006, 9130, 3388, 1049, 11223, 1005, 1026, 1746, 162, 2889, 85, 1745, 2431, 19118, 1060, 29535, 1814, 1049, 21192, 1620, 1160, 1325, 18258, 1041, 2270, 1138, 2568, 1994, 6217, 1096, 1807, 1054, 17412, 1213, 10711, 1049, 29176, 1005, 1026, 26286, 2238, 1049, 2568, 1359, 1081, 19492, 7032, 1495, 1235, 7166, 4260, 1206, 1298, 9793, 71, 3433, 20, 2494, 22287, 7511, 1049, 3821, 1066, 1048, 3959, 1124, 1054, 1021, 1758, 1155, 1167, 3728, 1074, 1049, 2179, 1468, 1005, 1049, 1831, 5443, 1024, 2349, 4154, 85, 27684, 1026, 1596, 75, 6867, 2006, 20, 1482, 1664, 1132, 4278, 31267, 1648, 1371, 1132, 1596, 1018, 1009, 3583, 1005, 4701, 1049, 5979, 1009, 4150, 1074, 10583, 2544, 89, 13568, 1270, 1040, 1751, 1060, 29535, 1814, 2083, 10625, 158, 7260, 2243, 1304, 1059, 23144, 1382, 1060, 29535, 1814, 1059, 14818, 1060, 29535, 1814, 1059, 14818, 1009, 4150, 1074, 1059, 1062, 169, 1037, 2253, 1059, 7940, 1060, 29535, 1814, 1059, 3650, 9206, 1060, 29535, 1814, 1059, 3650, 9206, 6867, 2006, 1059, 1134, 168, 1167, 71, 1008, 1363, 1122, 19492, 71, 1059, 6112, 1020, 1154, 1060, 29535, 1814, 1059, 1142, 27731, 1814, 1060, 29535, 1814, 1059, 9832, 1910, 10828, 7403, 19492, 71, 1059, 9832, 31366, 5624, 71, 1059, 15873, 1359, 1081, 19492, 1059, 1683, 1410, 5209, 2027, 6867, 2006, 1059, 7438, 85, 1060, 29535, 1814, 1059, 1067, 1626, 76, 2571, 1060, 29535, 1814, 1059, 2709, 1066, 1910, 10828, 7403, 168, 12009, 1059, 5647, 162, 2889, 85, 1745, 2431, 19118, 1059, 21119, 3908, 1382, 3300, 2673, 1059, 21119, 2989, 1149, 4506, 1095, 10960, 1059, 21119, 2989, 1149, 1008, 1363, 1122, 19492, 2378, 1401, 1154, 4118, 23879, 3133, 3334, 1009, 4599, 5046, 1257, 2377, 5997, 1371, 1726, 17724, 1009, 4306, 24538, 1206, 3905, 1049, 27059, 6540, 1048, 1460, 1040, 1490, 2528, 1206, 14338, 90, 3240, 1322, 1132, 675, 319, 3752, 1252, 2578, 1189, 15349, 1049, 23090, 9569, 85, 3242, 1087, 20897, 18329, 1053, 13846, 1548, 3850, 2644, 22042, 11191, 2701, 7343, 5120, 1048, 2684, 1497, 1006, 2888, 3085, 1921, 1311, 20641, 14273, 1049, 21048, 16465, 18, 1798, 5035, 2328, 1060, 3597, 1049, 675, 319, 3752, 1252, 2578, 1189, 17385, 3925, 12311, 2364, 1118, 11511, 9802, 8815, 2797, 1229, 20788, 1213, 2380, 1548, 3850, 2644, 1038, 1672, 9479, 1233, 4581, 1745, 15835, 23221, 4456, 1041, 27447, 3735, 1058, 1717, 79, 1026, 31043, 1311, 20641, 14273, 4593, 1316, 1170, 1156, 71, 1054, 1710, 1066, 15257, 1206, 3801, 1054, 11228, 15257, 1349, 2817, 1371, 1090, 2644, 1147, 1049, 1688, 1348, 1049, 18329, 1100, 1213, 5211, 1049, 1428, 1058, 1198, 24114, 1026, 25324, 17492, 1382, 17801, 2235, 82, 1206, 3501, 1112, 3378, 11150, 1378, 14077, 1138, 1090, 2644, 1147, 1005, 1318, 1006, 1009, 18906, 3019, 25324, 26981, 2283, 29452, 20400, 2464, 1118, 2290, 1049, 11836, 1372, 3387, 76, 1828, 1221, 1049, 1205, 1415, 18, 2684, 1497, 1132, 675, 317, 3752, 1252, 2578, 1189, 15349, 1048, 2941, 1046, 6736, 1006, 1201, 1582, 16465, 1030, 6720, 1187, 20193, 4970, 1544, 1060, 29535, 16242, 1138, 11650, 18329, 1053, 13846, 1548, 3850, 2644, 22042, 4279, 5416, 18, 1118, 1044, 6079, 1006, 18139, 1049, 21048, 16465, 18, 11551, 5193, 3552, 6116, 10775, 1009, 19440, 1627, 1005, 26227, 1992, 1026, 1030, 11438, 16465, 18, 1005, 1118, 2143, 6079, 3647, 1006, 2684, 3155, 1049, 25324, 17492, 1382, 17801, 2235, 5972, 1356, 1090, 1199, 4376, 13594, 1357, 1201, 1582, 1049, 31043, 1311, 20641, 14273, 9505, 18, 1305, 17876, 1044, 1187, 3145, 7343, 8647, 1229, 17222, 1026, 1184, 22480, 1072, 3603, 1060, 3621, 12831, 82, 1060, 29535, 1814, 1658, 3334, 1009, 4599, 18700, 10960, 10284, 1019, 10933, 8023, 1328, 31366, 5624, 71, 3367, 24329, 1371, 1094, 2618, 12610, 20080, 1126, 1054, 14040, 1043, 1026, 14089, 14089, 3388, 1049, 11223, 1060, 29535, 9642, 9274, 1178, 4350, 1463, 12610, 23818, 1200, 1034, 86, 5821, 1009, 1025, 3728, 1074, 21911, 5242, 1157, 1026, 22546, 1011, 1512, 2867, 1271, 14510, 2243, 2012, 4349, 1328, 1910, 10828, 7403, 19492, 71, 11191, 2701, 2476, 2564, 23085, 27141, 1096, 1026, 2386, 1009, 20001, 1049, 31043, 1910, 10828, 7403, 168, 12009, 2170, 1224, 1751, 5547, 18, 1049, 31043, 1644, 1408, 1017, 4260, 1060, 6516, 1253, 1802, 1063, 2618, 1910, 10828, 7403, 19492, 71, 1096, 30604, 1006, 2323, 1049, 2191, 1049, 11223, 1060, 29535, 9642, 6966, 2112, 5193, 1531, 2889, 4424, 16795, 1077, 1026, 12628, 1495, 8236, 1006, 13859, 3388, 1060, 1015, 1626, 76, 2571, 6867, 2006, 20, 14645, 1397, 1820, 1278, 1058, 4955, 1159, 1094, 2618, 12610, 20080, 1126, 4331, 1005, 1680, 2444, 15979, 1906, 1043, 1026, 15713, 1049, 5979, 1060, 29535, 1814, 3110, 1417, 1352, 1681, 5028, 23879, 21310, 29535, 9642, 1357, 10764, 5141, 1672, 1114, 2413, 1187, 1025, 3728, 1074, 6248, 11199, 4292, 1094, 13744, 1114, 1428, 1058, 17026, 1420, 1006, 30886, 1814, 1681, 5028, 23879, 20, 14645, 1397, 1820, 1278, 1058, 20362, 1094, 2236, 2369, 1829, 1278, 12610, 82, 5860, 2154, 1357, 4863, 1009, 3131, 1009, 11602, 24088, 85, 1114, 12873, 5113, 2921, 5521, 1114, 2413, 3388, 1060, 10764, 5141, 1029, 1060, 29535, 1814, 11214, 1006, 1033, 168, 1167, 71, 13635, 2707, 1672, 1006, 1428, 17026, 1420, 1026, 16355, 3388, 1060, 30886, 1814, 13635, 2707, 1029, 2474, 8915, 1060, 29535, 1814, 26423, 12610, 1397, 1820, 1278, 20209, 1114, 2413, 1009, 1025, 3728, 1074, 21911, 1159, 1094, 1249, 2840, 2618, 12610, 82, 5860, 1236, 2457, 18258, 5780, 1015, 175, 7372, 1005, 7511, 1250, 1118, 1094, 2618, 12610, 20080, 1377, 1705, 11834, 1371, 1072, 1596, 75, 1060, 29535, 1814, 1071, 7440, 5156, 1072, 11223, 1060, 29535, 9642, 1048, 1160, 1298, 1178, 20209, 1118, 2191, 1009, 12610, 23818, 1311, 9639, 1843, 1102, 15, 1005, 12007, 1072, 1596, 75, 6867, 8468, 1114, 2413, 1009, 4283, 3752, 3728, 1074, 21911, 20, 5024, 4466, 75, 1224, 31041, 1054, 2869, 1679, 1374, 86, 7644, 2243, 5454, 1327, 8845, 3868, 1506, 1060, 29535, 1814, 3367, 2068, 1060, 29535, 1814, 1298, 2593, 3863, 1054, 2073, 1057, 2715, 2847, 1200, 1034, 86, 2867, 1060, 29535, 1814, 33, 1026, 1235, 26977, 1325, 10041, 5232, 1043, 1006, 3621, 1049, 2403, 1057, 2715, 17632, 1114, 11719, 1071, 1735, 1184, 10423, 1114, 8756, 1149, 25762, 1672, 1712, 1124, 12110, 1009, 10181, 15, 1005, 1060, 6085, 12610, 21406, 7100, 12995, 1009, 7774, 2176, 16824, 28005, 12219, 1197, 1026, 26977, 3987, 3023, 23085, 23011, 1565, 3735, 19964, 1463, 12610, 23818, 6133, 1159, 1094, 2618, 1311, 1018, 1278, 12610, 86, 3829, 3110, 85, 9206, 6867, 2006, 11191, 2701, 7279, 23085, 27141, 1058, 4955, 1159, 1094, 3289, 12610, 82, 5860, 1236, 24569, 1140, 1206, 1026, 2838, 1140, 1365, 1124, 14510, 1206, 1495, 1592, 1322, 2442, 1679, 1374, 86, 7644, 1187, 4283, 3752, 3728, 1074, 6248, 11199, 1026, 1048, 1298, 5563, 6355, 1094, 11267, 2115, 7367, 7690, 1213, 1178, 14378, 1188, 1043, 1094, 13799, 1200, 1034, 86, 2867, 1071, 1007, 3655, 1112, 24088, 71, 1200, 1034, 86, 2867, 4112, 4074, 73, 6226, 1565, 1063, 4281, 1009, 1064, 29688, 4217, 27677, 1072, 12954, 12826, 2238, 1187, 4283, 3752, 3728, 1074, 6248, 11199, 1680, 1159, 1006, 5042, 1114, 7774, 2176, 24244, 1049, 1033, 5712, 12610, 17632, 1114, 19040, 1060, 3289, 1327, 15237, 1074, 1072, 12483, 19113, 1365, 1668, 1596, 75, 1005, 1094, 2481, 13799, 1009, 4599, 25890, 74, 169, 1012, 1145, 1567, 3096, 2447, 3300, 10581, 10559, 1451, 1312, 1114, 10764, 5141, 1672, 1054, 3311, 1005, 7364, 1038, 1291, 1148, 1365, 1124, 23881, 4260, 1005, 7511, 1060, 29535, 9642, 1826, 1277, 5084, 2156, 1006, 1761, 1728, 10497, 2476, 9170, 23085, 2214, 1391, 17901, 1159, 20001, 1679, 20193, 3300, 1047, 79, 168, 1131, 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 ]

[ 2106, 8769, 1060, 4581, 1206, 1160, 1049, 5064, 5443, 1024, 1206, 15319, 1015, 1020, 1667, 11203, 5891, 23278, 1371, 1233, 11719, 1049, 12960, 1294, 13695, 4440, 1009, 10669, 13942, 1229, 1132, 5891, 4629, 11116, 3027, 12918, 2876, 1009, 2303, 1043, 1026, 2446, 1009, 10598, 29191, 1322, 1006, 23085, 3253, 8606, 1060, 29535, 1814, 8606, 6347, 1371, 1006, 20001, 1009, 1664, 1132, 20193, 1060, 23692, 1122, 2094, 3027, 1159, 3145, 1026, 4506, 1095, 1870, 1026, 31043, 26456, 1005, 1132, 1008, 1363, 1122, 168, 26169, 1860, 1230, 1005, 10432, 17409, 13544, 86, 26133, 1006, 29535, 1814, 1096, 7948, 1009, 3251, 19772, 2170, 1890, 1026, 2568, 1009, 8172, 18, 1294, 30740, 2848, 9147, 19772, 3758, 2644, 1371, 1054, 4466, 1005, 1596, 6919, 3500, 1072, 11456, 6571, 1005, 1327, 8903, 1159, 16711, 1631, 1005, 23184, 29011, 1048, 24968, 1043, 1026, 1090, 1612, 1100, 1048, 1225, 2924, 29003, 14360, 1132, 1132, 89, 6205, 1049, 3037, 4457, 4378, 11322, 8691, 10405, 1679, 30740, 16037, 1160, 1998, 1094, 29535, 1814, 10105, 1118, 1044, 1998, 29176, 1096, 1184, 14481, 1309, 1318, 2246, 1132, 1132, 89, 6205, 2496, 9446, 1026, 5239, 1060, 5295, 1346, 30428, 1040, 14887, 1014, 1525, 1049, 26917, 2526, 1737, 73, 1669, 1071, 20929, 13204, 15970, 1022, 1230, 15, 1005, 1058, 10752, 1213, 2790, 1060, 3525, 1061, 1416, 4118, 1316, 11282, 1048, 24278, 20, 1063, 2323, 1060, 5261, 3757, 1009, 1834, 1311, 1007, 19, 30213, 3097, 5090, 1006, 1132, 89, 2616, 1371, 1996, 1009, 2073, 2143, 29176, 1049, 2291, 5120, 1043, 8559, 1060, 1373, 1179, 1300, 16242, 1482, 4415, 2411, 88, 1129, 1896, 1837, 1094, 1132, 89, 2484, 15338, 1065, 1669, 1054, 4188, 4128, 1471, 19, 2040, 14252, 3735, 1132, 1791, 5684, 1058, 1821, 1040, 14360, 1044, 3872, 29176, 2474, 2520, 1337, 26423, 675, 4470, 1471, 19, 1334, 3657, 1005, 1054, 15207, 1118, 18007, 31366, 5624, 85, 1049, 2568, 1994, 6217, 3995, 1218, 1061, 1165, 15059, 14628, 1118, 6681, 1887, 1060, 9130, 5547, 1187, 21863, 33, 675, 4470, 1471, 19, 1334, 3657, 1187, 21863, 33, 675, 4470, 1471, 19, 1334, 3657, 18, 1118, 15617, 6270, 1055, 1114, 9130, 3388, 1187, 21863, 33, 1049, 12628, 1118, 20233, 1187, 5684, 1155, 1167, 3728, 1074, 33, 1005, 1054, 4464, 1118, 3090, 1060, 2068, 1049, 2823, 1060, 29535, 1814, 2474, 2440, 2404, 23085, 23011, 11259, 1677, 1026, 1235, 29760, 1006, 29535, 1814, 5658, 1216, 7854, 21791, 12036, 1005, 30167, 1048, 16513, 1046, 675, 1094, 7923, 4788, 2286, 72, 1194, 7409, 3367, 29535, 1814, 21930, 1049, 1831, 13204, 15970, 1022, 1230, 2170, 1006, 2323, 1060, 5261, 3757, 1009, 1834, 1311, 1007, 19, 30213, 3097, 5090, 1006, 1132, 89, 2616, 1371, 1996, 1009, 2073, 2143, 29176, 1049, 2291, 5120, 1043, 8559, 1060, 1373, 1179, 1300, 16242, 6062, 2568, 1225, 2738, 1072, 11602, 9150, 1343, 1048, 2649, 1553, 1006, 1751, 3388, 1060, 10764, 10432, 1060, 3525, 1061, 1416, 4118, 1316, 11282, 2097, 1224, 22287, 5547, 1058, 1132, 89, 2372, 1068, 9164, 1791, 1132, 89, 6205, 1068, 9164, 1791, 1132, 89, 6205, 1060, 5295, 16930, 1006, 23184, 29011, 1005, 1026, 16711, 1631, 20, 2494, 7443, 1006, 3525, 1061, 1416, 4118, 23879, 2909, 8553, 1005, 1160, 1044, 5212, 10062, 1072, 3090, 1060, 29535, 1814, 15520, 1006, 20147, 1944, 1005, 1006, 20147, 4886, 3757, 1009, 1834, 1033, 1095, 1672, 13136, 3525, 1061, 2001, 3447, 3220, 8639, 1357, 4581, 1049, 2568, 1994, 6217, 1005, 1751, 1049, 2568, 1359, 1081, 19492, 1060, 29535, 9642, 1679, 2688, 3634, 1178, 2058, 1166, 1734, 1791, 1028, 1628, 2216, 9190, 1480, 17363, 1020, 17881, 1058, 7200, 1046, 1213, 2823, 2751, 1060, 29535, 9642, 1072, 3319, 1060, 14279, 1109, 1410, 5209, 2027, 6867, 2006, 3242, 1330, 4287, 1814, 1049, 1033, 2526, 20388, 4274, 4140, 1006, 29535, 1814, 1096, 20653, 1118, 2156, 2093, 8177, 4010, 4837, 1821, 1580, 1114, 2618, 1860, 2860, 1118, 1044, 11602, 10296, 28083, 1048, 24278, 1072, 2277, 3681, 1009, 5297, 1511, 5090, 1006, 1178, 12362, 10085, 3830, 1118, 1044, 11602, 24088, 85, 1048, 18800, 1006, 14590, 1271, 2156, 5314, 1378, 26669, 1060, 29535, 1814, 1005, 1006, 4581, 5836, 12983, 1060, 1015, 1626, 76, 2571, 1060, 29535, 16242, 4083, 1484, 75, 2650, 1005, 1054, 2089, 5715, 18725, 1160, 2755, 1026, 14316, 1009, 1132, 89, 2484, 1005, 1638, 2233, 1154, 1271, 2156, 2093, 8177, 1060, 29535, 1814, 1005, 1118, 1616, 5680, 18729, 15969, 1890, 2693, 1006, 1834, 1879, 2823, 1060, 29535, 1814, 1049, 8752, 4328, 11165, 1225, 12854, 15207, 1043, 1044, 17794, 4118, 23879, 5137, 6742, 2149, 2721, 0, 1006, 17939, 0, 3929, 1132, 21863, 1327, 26562, 1005, 11991, 1229, 1159, 1058, 4052, 6039, 1040, 1044, 1109, 2126, 1303, 1049, 2823, 1049, 1132, 2351, 1048, 1058, 29642, 1357, 4281, 1009, 2125, 1963, 3712, 19945, 1679, 9004, 2040, 1187, 13868, 2179, 1468, 1005, 1025, 3728, 1074, 15319, 2349, 4154, 1554, 1063, 14279, 9130, 1155, 1167, 19118, 1762, 1430, 1006, 10764, 1372, 1230, 1049, 6466, 1100, 3249, 8348, 2276, 1048, 1026, 2386, 1049, 5443, 1024, 1009, 1675, 1646, 27684, 1307, 1006, 1487, 0, 10377, 7768, 1049, 21848, 1370, 1060, 1064, 27731, 1814, 1060, 29535, 16242, 8601, 2269, 12007, 1006, 9130, 3388, 1049, 11223, 1005, 1026, 1746, 162, 2889, 85, 1745, 2431, 19118, 1060, 29535, 1814, 1049, 21192, 1620, 1160, 1325, 18258, 1041, 2270, 1138, 2568, 1994, 6217, 1096, 1807, 1054, 17412, 1213, 10711, 1049, 29176, 1005, 1026, 26286, 2238, 1049, 2568, 1359, 1081, 19492, 7032, 1495, 1235, 7166, 4260, 1206, 1298, 9793, 71, 3433, 20, 2494, 22287, 7511, 1049, 3821, 1066, 1048, 3959, 1124, 1054, 1021, 1758, 1155, 1167, 3728, 1074, 1049, 2179, 1468, 1005, 1049, 1831, 5443, 1024, 2349, 4154, 85, 27684, 1026, 1596, 75, 6867, 2006, 20, 1482, 1664, 1132, 4278, 31267, 1648, 1371, 1132, 1596, 1018, 1009, 3583, 1005, 4701, 1049, 5979, 1009, 4150, 1074, 10583, 2544, 89, 13568, 1270, 1040, 1751, 1060, 29535, 1814, 2083, 10625, 158, 7260, 2243, 1304, 1059, 23144, 1382, 1060, 29535, 1814, 1059, 14818, 1060, 29535, 1814, 1059, 14818, 1009, 4150, 1074, 1059, 1062, 169, 1037, 2253, 1059, 7940, 1060, 29535, 1814, 1059, 3650, 9206, 1060, 29535, 1814, 1059, 3650, 9206, 6867, 2006, 1059, 1134, 168, 1167, 71, 1008, 1363, 1122, 19492, 71, 1059, 6112, 1020, 1154, 1060, 29535, 1814, 1059, 1142, 27731, 1814, 1060, 29535, 1814, 1059, 9832, 1910, 10828, 7403, 19492, 71, 1059, 9832, 31366, 5624, 71, 1059, 15873, 1359, 1081, 19492, 1059, 1683, 1410, 5209, 2027, 6867, 2006, 1059, 7438, 85, 1060, 29535, 1814, 1059, 1067, 1626, 76, 2571, 1060, 29535, 1814, 1059, 2709, 1066, 1910, 10828, 7403, 168, 12009, 1059, 5647, 162, 2889, 85, 1745, 2431, 19118, 1059, 21119, 3908, 1382, 3300, 2673, 1059, 21119, 2989, 1149, 4506, 1095, 10960, 1059, 21119, 2989, 1149, 1008, 1363, 1122, 19492, 2378, 1401, 1154, 4118, 23879, 3133, 3334, 1009, 4599, 5046, 1257, 2377, 5997, 1371, 1726, 17724, 1009, 4306, 24538, 1206, 3905, 1049, 27059, 6540, 1048, 1460, 1040, 1490, 2528, 1206, 14338, 90, 3240, 1322, 1132, 675, 319, 3752, 1252, 2578, 1189, 15349, 1049, 23090, 9569, 85, 3242, 1087, 20897, 18329, 1053, 13846, 1548, 3850, 2644, 22042, 11191, 2701, 7343, 5120, 1048, 2684, 1497, 1006, 2888, 3085, 1921, 1311, 20641, 14273, 1049, 21048, 16465, 18, 1798, 5035, 2328, 1060, 3597, 1049, 675, 319, 3752, 1252, 2578, 1189, 17385, 3925, 12311, 2364, 1118, 11511, 9802, 8815, 2797, 1229, 20788, 1213, 2380, 1548, 3850, 2644, 1038, 1672, 9479, 1233, 4581, 1745, 15835, 23221, 4456, 1041, 27447, 3735, 1058, 1717, 79, 1026, 31043, 1311, 20641, 14273, 4593, 1316, 1170, 1156, 71, 1054, 1710, 1066, 15257, 1206, 3801, 1054, 11228, 15257, 1349, 2817, 1371, 1090, 2644, 1147, 1049, 1688, 1348, 1049, 18329, 1100, 1213, 5211, 1049, 1428, 1058, 1198, 24114, 1026, 25324, 17492, 1382, 17801, 2235, 82, 1206, 3501, 1112, 3378, 11150, 1378, 14077, 1138, 1090, 2644, 1147, 1005, 1318, 1006, 1009, 18906, 3019, 25324, 26981, 2283, 29452, 20400, 2464, 1118, 2290, 1049, 11836, 1372, 3387, 76, 1828, 1221, 1049, 1205, 1415, 18, 2684, 1497, 1132, 675, 317, 3752, 1252, 2578, 1189, 15349, 1048, 2941, 1046, 6736, 1006, 1201, 1582, 16465, 1030, 6720, 1187, 20193, 4970, 1544, 1060, 29535, 16242, 1138, 11650, 18329, 1053, 13846, 1548, 3850, 2644, 22042, 4279, 5416, 18, 1118, 1044, 6079, 1006, 18139, 1049, 21048, 16465, 18, 11551, 5193, 3552, 6116, 10775, 1009, 19440, 1627, 1005, 26227, 1992, 1026, 1030, 11438, 16465, 18, 1005, 1118, 2143, 6079, 3647, 1006, 2684, 3155, 1049, 25324, 17492, 1382, 17801, 2235, 5972, 1356, 1090, 1199, 4376, 13594, 1357, 1201, 1582, 1049, 31043, 1311, 20641, 14273, 9505, 18, 1305, 17876, 1044, 1187, 3145, 7343, 8647, 1229, 17222, 1026, 1184, 22480, 1072, 3603, 1060, 3621, 12831, 82, 1060, 29535, 1814, 1658, 3334, 1009, 4599, 18700, 10960, 10284, 1019, 10933, 8023, 1328, 31366, 5624, 71, 3367, 24329, 1371, 1094, 2618, 12610, 20080, 1126, 1054, 14040, 1043, 1026, 14089, 14089, 3388, 1049, 11223, 1060, 29535, 9642, 9274, 1178, 4350, 1463, 12610, 23818, 1200, 1034, 86, 5821, 1009, 1025, 3728, 1074, 21911, 5242, 1157, 1026, 22546, 1011, 1512, 2867, 1271, 14510, 2243, 2012, 4349, 1328, 1910, 10828, 7403, 19492, 71, 11191, 2701, 2476, 2564, 23085, 27141, 1096, 1026, 2386, 1009, 20001, 1049, 31043, 1910, 10828, 7403, 168, 12009, 2170, 1224, 1751, 5547, 18, 1049, 31043, 1644, 1408, 1017, 4260, 1060, 6516, 1253, 1802, 1063, 2618, 1910, 10828, 7403, 19492, 71, 1096, 30604, 1006, 2323, 1049, 2191, 1049, 11223, 1060, 29535, 9642, 6966, 2112, 5193, 1531, 2889, 4424, 16795, 1077, 1026, 12628, 1495, 8236, 1006, 13859, 3388, 1060, 1015, 1626, 76, 2571, 6867, 2006, 20, 14645, 1397, 1820, 1278, 1058, 4955, 1159, 1094, 2618, 12610, 20080, 1126, 4331, 1005, 1680, 2444, 15979, 1906, 1043, 1026, 15713, 1049, 5979, 1060, 29535, 1814, 3110, 1417, 1352, 1681, 5028, 23879, 21310, 29535, 9642, 1357, 10764, 5141, 1672, 1114, 2413, 1187, 1025, 3728, 1074, 6248, 11199, 4292, 1094, 13744, 1114, 1428, 1058, 17026, 1420, 1006, 30886, 1814, 1681, 5028, 23879, 20, 14645, 1397, 1820, 1278, 1058, 20362, 1094, 2236, 2369, 1829, 1278, 12610, 82, 5860, 2154, 1357, 4863, 1009, 3131, 1009, 11602, 24088, 85, 1114, 12873, 5113, 2921, 5521, 1114, 2413, 3388, 1060, 10764, 5141, 1029, 1060, 29535, 1814, 11214, 1006, 1033, 168, 1167, 71, 13635, 2707, 1672, 1006, 1428, 17026, 1420, 1026, 16355, 3388, 1060, 30886, 1814, 13635, 2707, 1029, 2474, 8915, 1060, 29535, 1814, 26423, 12610, 1397, 1820, 1278, 20209, 1114, 2413, 1009, 1025, 3728, 1074, 21911, 1159, 1094, 1249, 2840, 2618, 12610, 82, 5860, 1236, 2457, 18258, 5780, 1015, 175, 7372, 1005, 7511, 1250, 1118, 1094, 2618, 12610, 20080, 1377, 1705, 11834, 1371, 1072, 1596, 75, 1060, 29535, 1814, 1071, 7440, 5156, 1072, 11223, 1060, 29535, 9642, 1048, 1160, 1298, 1178, 20209, 1118, 2191, 1009, 12610, 23818, 1311, 9639, 1843, 1102, 15, 1005, 12007, 1072, 1596, 75, 6867, 8468, 1114, 2413, 1009, 4283, 3752, 3728, 1074, 21911, 20, 5024, 4466, 75, 1224, 31041, 1054, 2869, 1679, 1374, 86, 7644, 2243, 5454, 1327, 8845, 3868, 1506, 1060, 29535, 1814, 3367, 2068, 1060, 29535, 1814, 1298, 2593, 3863, 1054, 2073, 1057, 2715, 2847, 1200, 1034, 86, 2867, 1060, 29535, 1814, 33, 1026, 1235, 26977, 1325, 10041, 5232, 1043, 1006, 3621, 1049, 2403, 1057, 2715, 17632, 1114, 11719, 1071, 1735, 1184, 10423, 1114, 8756, 1149, 25762, 1672, 1712, 1124, 12110, 1009, 10181, 15, 1005, 1060, 6085, 12610, 21406, 7100, 12995, 1009, 7774, 2176, 16824, 28005, 12219, 1197, 1026, 26977, 3987, 3023, 23085, 23011, 1565, 3735, 19964, 1463, 12610, 23818, 6133, 1159, 1094, 2618, 1311, 1018, 1278, 12610, 86, 3829, 3110, 85, 9206, 6867, 2006, 11191, 2701, 7279, 23085, 27141, 1058, 4955, 1159, 1094, 3289, 12610, 82, 5860, 1236, 24569, 1140, 1206, 1026, 2838, 1140, 1365, 1124, 14510, 1206, 1495, 1592, 1322, 2442, 1679, 1374, 86, 7644, 1187, 4283, 3752, 3728, 1074, 6248, 11199, 1026, 1048, 1298, 5563, 6355, 1094, 11267, 2115, 7367, 7690, 1213, 1178, 14378, 1188, 1043, 1094, 13799, 1200, 1034, 86, 2867, 1071, 1007, 3655, 1112, 24088, 71, 1200, 1034, 86, 2867, 4112, 4074, 73, 6226, 1565, 1063, 4281, 1009, 1064, 29688, 4217, 27677, 1072, 12954, 12826, 2238, 1187, 4283, 3752, 3728, 1074, 6248, 11199, 1680, 1159, 1006, 5042, 1114, 7774, 2176, 24244, 1049, 1033, 5712, 12610, 17632, 1114, 19040, 1060, 3289, 1327, 15237, 1074, 1072, 12483, 19113, 1365, 1668, 1596, 75, 1005, 1094, 2481, 13799, 1009, 4599, 25890, 74, 169, 1012, 1145, 1567, 3096, 2447, 3300, 10581, 10559, 1451, 1312, 1114, 10764, 5141, 1672, 1054, 3311, 1005, 7364, 1038, 1291, 1148, 1365, 1124, 23881, 4260, 1005, 7511, 1060, 29535, 9642, 1826, 1277, 5084, 2156, 1006, 1761, 1728, 10497, 2476, 9170, 23085, 2214, 1391, 17901, 1159, 20001, 1679, 20193, 3300, 1047, 79, 168, 1131, 85 ]

[ 1020, 1054, 9963, 11268, 1049, 13759, 3423, 2668, 2177, 17916, 1006, 15071, 1009, 27276, 7480, 8175, 6070, 56, 13986, 1054, 5061, 5591, 92, 1192, 1593, 1017, 2255, 1048, 2569, 1006, 11765, 18514, 1054, 3049, 1009, 4210, 6889, 2303, 1043, 1006, 2452, 3013, 1060, 31441, 2002, 1163, 1069, 1009, 10702, 1005, 24989, 1049, 1531, 1009, 16361, 9535, 2860, 16136, 27066, 1006, 21467, 58, 2612, 1043, 1094, 2236, 1009, 9417, 24252, 1571, 3775, 8364, 4944, 2765, 1009, 5061, 1184, 21442, 1068, 1006, 2413, 1005, 1318, 2492, 5694, 1009, 2068, 1068, 3780, 1043, 1858, 22910, 1679, 5061, 12904, 1817, 8500, 4319, 3251, 25197, 28193, 1043, 2625, 5715, 1005, 1373, 4340, 1009, 1503, 12841, 1192, 1164, 1048, 1327, 3258, 6426, 8753, 13036, 1194, 1136, 2339, 1030, 1947, 26734, 1136, 2339, 675, 16963, 1046, 1205, 51, 11437, 1005, 675, 1707, 1397, 1037, 1020, 1156, 3502, 2567, 11591, 1620, 1044, 4618, 1043, 7102, 2051, 15718, 10871, 8886, 4618, 3134, 2156, 6329, 21283, 25189, 2224, 1008, 3434, 6184, 4324, 22635, 1026, 20238, 1060, 2236, 1009, 5061, 3168, 2502, 1009, 2935, 8026, 11375, 78, 19150, 8201, 1704, 5549, 28319, 1036, 1096, 13512, 1060, 31441, 2002, 1163, 1069, 1009, 10702, 1837, 2088, 1646, 1005, 1114, 13829, 11841, 10032, 1140, 1566, 1096, 7191, 1236, 1094, 21467, 58, 1868, 1692, 1868, 6376, 85, 5927, 6128, 2663, 30071, 1349, 7302, 5054, 1195, 8220, 1890, 1044, 1531, 1009, 3428, 1054, 6747, 1114, 3486, 1381, 14578, 1072, 1428, 1132, 7287, 31030, 1026, 6502, 14952, 52, 1048, 1225, 1159, 13496, 1173, 8848, 1006, 9373, 24820, 1342, 11724, 1043, 3910, 8167, 1009, 15118, 28129, 1114, 4281, 1049, 8336, 14365, 168, 1013, 1100, 1054, 5061, 1009, 10700, 1049, 2446, 5591, 92, 1192, 1593, 1017, 1061, 1071, 5240, 17121, 2132, 31790, 1126, 7478, 22351, 1206, 1460, 7591, 13107, 1192, 1593, 1017, 1061, 8482, 1179, 10376, 19, 5240, 17121, 2132, 31790, 1126, 25196, 19498, 15, 1005, 2464, 15400, 4034, 18, 1124, 7147, 23816, 15128, 1026, 2093, 1577, 1215, 14024, 1141, 1029, 1069, 2309, 18725, 1044, 1187, 3145, 18835, 8639, 1356, 5654, 28523, 3039, 1048, 24330, 1026, 16666, 7933, 6889, 2303, 1043, 1044, 1187, 14467, 1049, 5549, 28319, 9764, 3514, 1139, 1130, 1587, 2255, 1026, 2380, 5591, 92, 1192, 1593, 1017, 1061, 1195, 7028, 1069, 1114, 16662, 1054, 7269, 1847, 22158, 1054, 9963, 11268, 1049, 2709, 1005, 1006, 4336, 9241, 1009, 2991, 1068, 1734, 10418, 1686, 1154, 2255, 3027, 3004, 1184, 1009, 1791, 1910, 24252, 1009, 11297, 6912, 1140, 4578, 4455, 1072, 1531, 1009, 16361, 1826, 5262, 7780, 7543, 24804, 1068, 4668, 27806, 4988, 1009, 15845, 1005, 17693, 1297, 2094, 11195, 1005, 1548, 12387, 5430, 14467, 1686, 1154, 2255, 15654, 1005, 6970, 1040, 1310, 1480, 1060, 11228, 31860, 1060, 9373, 1005, 1049, 4898, 5717, 3424, 16855, 1693, 1178, 27670, 3994, 1213, 25527, 1009, 5180, 2938, 1009, 10482, 1060, 31441, 2002, 1163, 1069, 1009, 10702, 18, 1356, 8079, 1071, 6991, 15, 1307, 4994, 30, 10536, 22, 5721, 18290, 1007, 1009, 1422, 2400, 28, 2744, 1009, 5418, 1016, 6162, 1140, 1357, 1535, 1182, 18, 8123, 41, 8755, 1048, 1026, 1561, 10968, 19053, 19597, 2925, 1068, 5669, 1439, 17522, 1005, 7357, 1605, 8123, 41, 13780, 1048, 1006, 20697, 1009, 1094, 18290, 1007, 4863, 17318, 1006, 1080, 4869, 4159, 20239, 1271, 6300, 30642, 1009, 1238, 2795, 1145, 3057, 1901, 1005, 3904, 1213, 5317, 1049, 6490, 1048, 4319, 8220, 1009, 1048, 1132, 19597, 2925, 1009, 7530, 1049, 6432, 4494, 1046, 1068, 1456, 7314, 6299, 3774, 3368, 1043, 1006, 14120, 9274, 1178, 16808, 1054, 4053, 4355, 1270, 1371, 18785, 15550, 16529, 1048, 1132, 16439, 1009, 8083, 1071, 11846, 2536, 19597, 2925, 15, 1327, 14307, 1068, 15432, 1656, 1233, 9183, 1009, 7357, 1005, 11060, 2762, 1043, 1026, 1561, 11551, 1224, 27816, 1009, 2751, 18458, 5178, 1009, 7483, 3915, 2191, 1006, 1989, 30922, 1057, 26240, 1800, 1006, 4716, 1049, 8271, 2593, 19248, 1679, 7328, 1049, 11257, 3748, 1006, 10567, 1009, 3480, 1049, 12510, 1009, 10319, 1060, 12935, 4611, 1546, 1239, 4015, 1440, 2162, 158, 15, 25074, 1213, 2729, 1187, 2224, 3952, 1060, 18290, 2339, 10066, 1124, 3460, 7741, 1009, 4410, 1005, 4855, 6433, 1511, 1124, 1023, 7854, 11452, 7519, 20949, 1068, 18922, 1456, 7871, 1005, 7190, 18016, 3343, 2904, 5264, 30684, 5462, 1062, 11722, 132, 13076, 24346, 4562, 39, 1711, 1062, 1778, 1009, 1048, 1026, 1561, 1096, 1026, 1908, 1184, 15744, 1114, 2935, 1009, 7483, 19590, 1847, 29880, 1114, 14814, 1049, 2191, 3563, 1005, 1114, 6697, 1009, 2744, 1009, 5435, 1229, 6006, 16336, 1005, 6942, 1077, 7055, 31017, 1014, 2445, 1009, 6730, 24648, 1043, 4805, 11355, 1005, 1801, 11252, 1006, 8515, 1049, 6872, 1049, 20649, 1054, 4855, 1094, 7140, 1322, 1006, 10091, 11444, 1049, 2011, 8200, 1294, 11395, 5678, 1005, 20992, 3590, 4559, 1271, 16594, 1322, 1006, 20020, 28276, 1072, 3878, 1043, 1026, 14593, 1009, 6931, 1800, 1044, 6490, 1009, 3227, 15033, 1068, 18635, 1005, 5435, 5783, 1305, 16547, 1132, 6641, 1060, 3161, 2116, 3382, 1305, 2488, 5990, 1009, 1871, 25589, 1316, 1713, 1132, 1717, 28423, 2170, 17087, 1305, 6588, 4751, 8778, 82, 1009, 14033, 3865, 2476, 1075, 1352, 1026, 3124, 1009, 1026, 11829, 1060, 4277, 9246, 1024, 1048, 1006, 5813, 1027, 1009, 3733, 8200, 17227, 1620, 1096, 1094, 4884, 1493, 3707, 14398, 11228, 23519, 1118, 2191, 1060, 3909, 21979, 1365, 1456, 3919, 3365, 1229, 6942, 1043, 25293, 1272, 1006, 4884, 1009, 2011, 3935, 7376, 1009, 3978, 1005, 6570, 4837, 3124, 1048, 23167, 1048, 1989, 6490, 8989, 14170, 1291, 1072, 6432, 5474, 20, 1138, 5019, 1187, 1955, 1520, 1544, 1009, 20649, 1049, 1561, 2663, 1087, 2162, 158, 1349, 1118, 3018, 10752, 1026, 2868, 3730, 1199, 2319, 1049, 20649, 1114, 5411, 1406, 1048, 18954, 1043, 1006, 15181, 1060, 3450, 1009, 27478, 4871, 9512, 23874, 1043, 1006, 14968, 1049, 15389, 1902, 10382, 1005, 1006, 26016, 1049, 2792, 1072, 3428, 1704, 8123, 41, 1198, 1029, 3223, 75, 1026, 2011, 1049, 17805, 2162, 158, 4666, 2743, 1005, 13780, 1048, 1026, 3489, 1009, 14246, 6296, 1009, 8879, 28565, 2032, 1072, 1784, 6272, 1096, 6740, 1118, 6588, 1048, 1044, 1807, 2285, 1009, 3978, 1060, 6317, 10382, 3241, 1124, 10529, 7741, 1009, 3177, 1213, 4318, 1271, 3978, 1187, 3056, 11511, 25920, 25478, 11797, 1026, 2999, 7148, 1188, 8981, 5162, 1005, 3978, 1009, 6296, 8317, 1187, 2967, 2972, 25000, 6407, 1005, 6571, 1009, 8879, 28565, 2032, 2170, 1054, 2088, 9677, 1132, 7180, 5031, 4846, 3423, 2668, 2350, 5856, 6296, 1318, 7004, 1046, 1006, 5309, 6272, 1068, 1006, 4668, 1049, 31910, 3021, 2393, 41, 9435, 1711, 1766, 12211, 15265, 1049, 7483, 14686, 1041, 2241, 2453, 1009, 10063, 6907, 1495, 1006, 9707, 1072, 3099, 17072, 1305, 13357, 1072, 2790, 1187, 26276, 1005, 1043, 1132, 8829, 1248, 1173, 1361, 1213, 3090, 1060, 29126, 1005, 1233, 19701, 1049, 13380, 1072, 3878, 1026, 1712, 8271, 5178, 13906, 3136, 1986, 1006, 4515, 2094, 1114, 3696, 1009, 14790, 1049, 3284, 1060, 2844, 1112, 1049, 9989, 1900, 1018, 4190, 5723, 3382, 1048, 1465, 2262, 1006, 1172, 3333, 1253, 1180, 12, 9472, 4513, 3013, 1060, 1180, 40, 6822, 1048, 17384, 3838, 6647, 3568, 1072, 3878, 1026, 19277, 3475, 1006, 1058, 17704, 5177, 1278, 1322, 1026, 12782, 3925, 12311, 1124, 25525, 1005, 10914, 1157, 1124, 1023, 7854, 20, 20037, 23227, 1006, 1863, 4719, 16622, 1277, 12103, 1184, 1009, 1799, 11, 1054, 2869, 1213, 12782, 16512, 1077, 1026, 15320, 1027, 1006, 2824, 5843, 5963, 3537, 1776, 31786, 1060, 9269, 1006, 18917, 1195, 1009, 10459, 7089, 6033, 16442, 1009, 3047, 12922, 1026, 3991, 1337, 3353, 1049, 2778, 8888, 1062, 1195, 10813, 1599, 1114, 15381, 1006, 7294, 3646, 4059, 5562, 1118, 2687, 1007, 19, 5312, 1100, 1043, 6841, 1009, 1487, 2721, 3328, 3349, 1213, 13550, 1060, 3757, 1475, 3567, 1138, 3991, 1337, 3353, 1049, 5453, 4409, 1049, 19469, 1126, 5421, 2408, 1114, 1156, 11426, 1134, 8455, 1074, 5559, 18, 1195, 1023, 6523, 1006, 7294, 3130, 31, 5205, 1118, 10338, 2166, 8436, 12311, 14260, 27319, 1009, 7294, 1782, 30962, 1006, 1067, 4820, 30134, 10932, 1006, 29126, 1009, 7483, 1238, 2795, 1961, 1072, 3878, 1620, 1325, 1054, 1235, 19392, 1043, 11098, 5068, 3121, 1726, 17473, 1048, 18140, 2044, 1412, 1006, 3583, 1009, 9762, 1294, 5918, 1279, 1102, 1463, 3145, 5852, 1049, 29448, 8271, 1294, 4679, 7872, 2247, 1049, 3124, 1009, 1006, 3364, 1271, 3905, 1620, 2593, 1054, 4415, 1009, 1795, 8673, 1206, 1043, 20572, 1419, 74, 2223, 5011, 1006, 1011, 1889, 1009, 1125, 1061, 1081, 3904, 1054, 8282, 22309, 11331, 1140, 2309, 5278, 1054, 28807, 4908, 3099, 2175, 1100, 1054, 2191, 1726, 18288, 10292, 27617, 1837, 3971, 7256, 4917, 1009, 29699, 6751, 5756, 12854, 21356, 1112, 1294, 1244, 8554, 1043, 1132, 16220, 10682, 1166, 1356, 4316, 1009, 11609, 4429, 1473, 1166, 1054, 12935, 20075, 1140, 2663, 75, 1292, 8392, 1068, 1124, 24621, 1238, 2795, 1145, 1005, 1125, 1061, 1081, 1847, 10813, 2585, 23227, 1006, 2824, 7631, 2414, 2337, 6487, 3829, 1005, 1006, 2824, 4110, 2534, 3502, 6487, 27996, 20260, 5300, 1043, 16267, 19689, 1009, 3519, 7089, 1054, 2869, 1213, 13550, 1060, 9137, 18285, 1, 1063, 8135, 2277, 1026, 30109, 1043, 1006, 1745, 4852, 1271, 14964, 16247, 1060, 1128, 3083, 18030, 2252, 1124, 11723, 2258, 10828, 1446, 74, 10581, 1566, 2643, 10354, 15475, 1159, 1072, 3041, 25720, 1233, 21155, 4850, 1060, 6651, 2373, 71, 1521, 3822, 21750, 4324, 10764, 1213, 1048, 1006, 7298, 22023, 12904, 54, 1265, 1508, 1009, 2475, 30, 14684, 3618, 2565, 1996, 1060, 21155, 1068, 9670, 14684, 27319, 2271, 1026, 5606, 1271, 6444, 20, 2804, 1133, 7859, 1068, 3042, 5184, 1006, 17028, 1754, 1006, 8083, 14775, 1068, 1132, 5734, 7094, 1365, 1764, 14395, 1005, 2915, 4324, 9038, 1620, 1026, 10639, 5464, 23190, 1271, 3354, 1095, 3795, 1060, 7298, 12978, 1006, 1745, 4852, 1187, 14684, 6842, 1068, 1026, 26643, 1054, 2638, 10798, 1026, 1048, 4291, 6588, 1026, 17392, 1049, 2285, 1009, 14964, 20, 2373, 7283, 1878, 21104, 1048, 1006, 2900, 1318, 2395, 1091, 1986, 1006, 1745, 4852, 1187, 14684, 6842, 1005, 1048, 2374, 2481, 26130, 18, 1114, 29974, 14684, 1318, 1068, 1124, 2089, 11723, 4324, 9301, 18, 24275, 1048, 1620, 4682, 1006, 6496, 1060, 1128, 3083, 60, 1381, 1044, 19472, 2373, 71, 1521, 3822, 29078, 85, 4324, 10764, 1679, 5891, 1493, 4331, 1049, 1048, 1058, 2265, 1006, 5980, 8937, 1060, 7298, 1533, 1128, 3083, 60, 8944, 1048, 1132, 9368, 1826, 1006, 10881, 2252, 1124, 5567, 1009, 3227, 12524, 1312, 1068, 1124, 8203, 1957, 23171, 6379, 13233, 1026, 17993, 1233, 4716, 1009, 2306, 26393, 1566, 1261, 1026, 8036, 4408, 6434, 6598, 1188, 1996, 1060, 8685, 1213, 15142, 1520, 1100, 1068, 4379, 30426, 12904, 53, 2490, 1009, 10593, 1054, 2252, 1124, 3905, 1187, 15142, 1520, 1229, 1026, 3603, 4408, 6434, 1233, 3583, 1049, 15142, 1520, 1100, 1026, 31587, 2952, 1992, 1159, 22916, 1990, 1005, 21190, 8268, 18553, 2643, 2281, 8580, 1402, 1114, 27677, 1118, 2220, 1026, 16896, 2958, 14062, 1463, 6444, 1060, 1128, 3083, 18030, 1992, 1159, 1118, 1664, 1132, 9368, 2170, 1495, 1213, 5847, 1160, 1058, 2683, 1079, 2073, 1201, 17016, 1048, 3241, 14691, 1114, 6406, 1187, 10330, 8042, 1043, 1132, 14684, 1060, 7298, 4324, 13658, 1006, 3028, 4633, 27281, 6315, 1371, 1048, 1996, 1060, 12849, 1187, 2835, 1229, 1124, 14964, 16247, 1009, 9368, 1068, 1124, 5492, 11723, 1049, 26643, 2829, 2728, 1580, 1357, 1128, 3083, 60, 1043, 7828, 17842, 2472, 2905, 1118, 2125, 10943, 56, 19, 8360, 6514, 18, 1043, 4008, 1068, 18149, 9368, 2904, 22299, 9953, 1566, 1225, 14684, 15475, 1068, 2252, 1124, 11723, 1005, 10396, 9238, 9368, 4937, 1412, 1054, 3227, 1986, 1006, 1745, 4852, 4073, 1511, 1132, 14684, 6842, 37, 2642, 1202, 18559, 1068, 2089, 14196, 1068, 2247, 1060, 1128, 5071, 18, 3283, 6394, 1132, 7593, 1009, 3227, 1141, 1259, 5330, 20037, 1128, 5071, 18, 4929, 30108, 12087, 1043, 1132, 6022, 16802, 7733, 1118, 3971, 1060, 16375, 3482, 24973, 1006, 7298, 16030, 1549, 1071, 6689, 1066, 15, 1068, 5711, 1006, 13949, 1124, 13262, 1043, 5416, 1149, 2246, 10424, 1325, 13947, 1069, 1068, 1132, 1680, 1351, 12592, 3259, 1704, 23741, 16030, 1714, 3135, 4564, 1009, 1044, 1206, 1791, 15107, 1184, 1050, 1631, 96, 1068, 1132, 4986, 3570, 74, 6436, 3421, 3493, 1006, 1080, 10306, 10948, 2822, 1049, 3810, 12686, 1026, 2285, 1009, 1869, 1095, 1166, 1356, 9851, 1359, 2801, 8989, 18275, 10449, 1505, 2283, 10523, 1272, 1187, 2258, 10828, 1446, 74, 19473, 1159, 1058, 2155, 3748, 4044, 37, 1603, 24234, 31084, 1005, 2733, 11048, 2656, 1096, 2481, 1057, 1266, 1026, 8542, 1060, 5337, 1305, 9246, 1024, 1026, 1201, 17016, 1060, 18420, 18, 5639, 6071, 3833, 1800, 1118, 1261, 15405, 1005, 3833, 1800, 1118, 1160, 1026, 1261, 20, 2656, 16491, 9443, 22217, 1068, 1132, 10385, 1026, 675, 2681, 1093, 1060, 24493, 1060, 29045, 5946, 2904, 22299, 9953 ]

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

[ 1020, 1054, 9963, 11268, 1049, 13759, 3423, 2668, 2177, 17916, 1006, 15071, 1009, 27276, 7480, 8175, 6070, 56, 13986, 1054, 5061, 5591, 92, 1192, 1593, 1017, 2255, 1048, 2569, 1006, 11765, 18514, 1054, 3049, 1009, 4210, 6889, 2303, 1043, 1006, 2452, 3013, 1060, 31441, 2002, 1163, 1069, 1009, 10702, 1005, 24989, 1049, 1531, 1009, 16361, 9535, 2860, 16136, 27066, 1006, 21467, 58, 2612, 1043, 1094, 2236, 1009, 9417, 24252, 1571, 3775, 8364, 4944, 2765, 1009, 5061, 1184, 21442, 1068, 1006, 2413, 1005, 1318, 2492, 5694, 1009, 2068, 1068, 3780, 1043, 1858, 22910, 1679, 5061, 12904, 1817, 8500, 4319, 3251, 25197, 28193, 1043, 2625, 5715, 1005, 1373, 4340, 1009, 1503, 12841, 1192, 1164, 1048, 1327, 3258, 6426, 8753, 13036, 1194, 1136, 2339, 1030, 1947, 26734, 1136, 2339, 675, 16963, 1046, 1205, 51, 11437, 1005, 675, 1707, 1397, 1037, 1020, 1156, 3502, 2567, 11591, 1620, 1044, 4618, 1043, 7102, 2051, 15718, 10871, 8886, 4618, 3134, 2156, 6329, 21283, 25189, 2224, 1008, 3434, 6184, 4324, 22635, 1026, 20238, 1060, 2236, 1009, 5061, 3168, 2502, 1009, 2935, 8026, 11375, 78, 19150, 8201, 1704, 5549, 28319, 1036, 1096, 13512, 1060, 31441, 2002, 1163, 1069, 1009, 10702, 1837, 2088, 1646, 1005, 1114, 13829, 11841, 10032, 1140, 1566, 1096, 7191, 1236, 1094, 21467, 58, 1868, 1692, 1868, 6376, 85, 5927, 6128, 2663, 30071, 1349, 7302, 5054, 1195, 8220, 1890, 1044, 1531, 1009, 3428, 1054, 6747, 1114, 3486, 1381, 14578, 1072, 1428, 1132, 7287, 31030, 1026, 6502, 14952, 52, 1048, 1225, 1159, 13496, 1173, 8848, 1006, 9373, 24820, 1342, 11724, 1043, 3910, 8167, 1009, 15118, 28129, 1114, 4281, 1049, 8336, 14365, 168, 1013, 1100, 1054, 5061, 1009, 10700, 1049, 2446, 5591, 92, 1192, 1593, 1017, 1061, 1071, 5240, 17121, 2132, 31790, 1126, 7478, 22351, 1206, 1460, 7591, 13107, 1192, 1593, 1017, 1061, 8482, 1179, 10376, 19, 5240, 17121, 2132, 31790, 1126, 25196, 19498, 15, 1005, 2464, 15400, 4034, 18, 1124, 7147, 23816, 15128, 1026, 2093, 1577, 1215, 14024, 1141, 1029, 1069, 2309, 18725, 1044, 1187, 3145, 18835, 8639, 1356, 5654, 28523, 3039, 1048, 24330, 1026, 16666, 7933, 6889, 2303, 1043, 1044, 1187, 14467, 1049, 5549, 28319, 9764, 3514, 1139, 1130, 1587, 2255, 1026, 2380, 5591, 92, 1192, 1593, 1017, 1061, 1195, 7028, 1069, 1114, 16662, 1054, 7269, 1847, 22158, 1054, 9963, 11268, 1049, 2709, 1005, 1006, 4336, 9241, 1009, 2991, 1068, 1734, 10418, 1686, 1154, 2255, 3027, 3004, 1184, 1009, 1791, 1910, 24252, 1009, 11297, 6912, 1140, 4578, 4455, 1072, 1531, 1009, 16361, 1826, 5262, 7780, 7543, 24804, 1068, 4668, 27806, 4988, 1009, 15845, 1005, 17693, 1297, 2094, 11195, 1005, 1548, 12387, 5430, 14467, 1686, 1154, 2255, 15654, 1005, 6970, 1040, 1310, 1480, 1060, 11228, 31860, 1060, 9373, 1005, 1049, 4898, 5717, 3424, 16855, 1693, 1178, 27670, 3994, 1213, 25527, 1009, 5180, 2938, 1009, 10482, 1060, 31441, 2002, 1163, 1069, 1009, 10702, 18, 1356, 8079, 1071, 6991, 15, 1307, 4994, 30, 10536, 22, 5721, 18290, 1007, 1009, 1422, 2400, 28, 2744, 1009, 5418, 1016, 6162, 1140, 1357, 1535, 1182, 18, 8123, 41, 8755, 1048, 1026, 1561, 10968, 19053, 19597, 2925, 1068, 5669, 1439, 17522, 1005, 7357, 1605, 8123, 41, 13780, 1048, 1006, 20697, 1009, 1094, 18290, 1007, 4863, 17318, 1006, 1080, 4869, 4159, 20239, 1271, 6300, 30642, 1009, 1238, 2795, 1145, 3057, 1901, 1005, 3904, 1213, 5317, 1049, 6490, 1048, 4319, 8220, 1009, 1048, 1132, 19597, 2925, 1009, 7530, 1049, 6432, 4494, 1046, 1068, 1456, 7314, 6299, 3774, 3368, 1043, 1006, 14120, 9274, 1178, 16808, 1054, 4053, 4355, 1270, 1371, 18785, 15550, 16529, 1048, 1132, 16439, 1009, 8083, 1071, 11846, 2536, 19597, 2925, 15, 1327, 14307, 1068, 15432, 1656, 1233, 9183, 1009, 7357, 1005, 11060, 2762, 1043, 1026, 1561, 11551, 1224, 27816, 1009, 2751, 18458, 5178, 1009, 7483, 3915, 2191, 1006, 1989, 30922, 1057, 26240, 1800, 1006, 4716, 1049, 8271, 2593, 19248, 1679, 7328, 1049, 11257, 3748, 1006, 10567, 1009, 3480, 1049, 12510, 1009, 10319, 1060, 12935, 4611, 1546, 1239, 4015, 1440, 2162, 158, 15, 25074, 1213, 2729, 1187, 2224, 3952, 1060, 18290, 2339, 10066, 1124, 3460, 7741, 1009, 4410, 1005, 4855, 6433, 1511, 1124, 1023, 7854, 11452, 7519, 20949, 1068, 18922, 1456, 7871, 1005, 7190, 18016, 3343, 2904, 5264, 30684, 5462, 1062, 11722, 132, 13076, 24346, 4562, 39, 1711, 1062, 1778, 1009, 1048, 1026, 1561, 1096, 1026, 1908, 1184, 15744, 1114, 2935, 1009, 7483, 19590, 1847, 29880, 1114, 14814, 1049, 2191, 3563, 1005, 1114, 6697, 1009, 2744, 1009, 5435, 1229, 6006, 16336, 1005, 6942, 1077, 7055, 31017, 1014, 2445, 1009, 6730, 24648, 1043, 4805, 11355, 1005, 1801, 11252, 1006, 8515, 1049, 6872, 1049, 20649, 1054, 4855, 1094, 7140, 1322, 1006, 10091, 11444, 1049, 2011, 8200, 1294, 11395, 5678, 1005, 20992, 3590, 4559, 1271, 16594, 1322, 1006, 20020, 28276, 1072, 3878, 1043, 1026, 14593, 1009, 6931, 1800, 1044, 6490, 1009, 3227, 15033, 1068, 18635, 1005, 5435, 5783, 1305, 16547, 1132, 6641, 1060, 3161, 2116, 3382, 1305, 2488, 5990, 1009, 1871, 25589, 1316, 1713, 1132, 1717, 28423, 2170, 17087, 1305, 6588, 4751, 8778, 82, 1009, 14033, 3865, 2476, 1075, 1352, 1026, 3124, 1009, 1026, 11829, 1060, 4277, 9246, 1024, 1048, 1006, 5813, 1027, 1009, 3733, 8200, 17227, 1620, 1096, 1094, 4884, 1493, 3707, 14398, 11228, 23519, 1118, 2191, 1060, 3909, 21979, 1365, 1456, 3919, 3365, 1229, 6942, 1043, 25293, 1272, 1006, 4884, 1009, 2011, 3935, 7376, 1009, 3978, 1005, 6570, 4837, 3124, 1048, 23167, 1048, 1989, 6490, 8989, 14170, 1291, 1072, 6432, 5474, 20, 1138, 5019, 1187, 1955, 1520, 1544, 1009, 20649, 1049, 1561, 2663, 1087, 2162, 158, 1349, 1118, 3018, 10752, 1026, 2868, 3730, 1199, 2319, 1049, 20649, 1114, 5411, 1406, 1048, 18954, 1043, 1006, 15181, 1060, 3450, 1009, 27478, 4871, 9512, 23874, 1043, 1006, 14968, 1049, 15389, 1902, 10382, 1005, 1006, 26016, 1049, 2792, 1072, 3428, 1704, 8123, 41, 1198, 1029, 3223, 75, 1026, 2011, 1049, 17805, 2162, 158, 4666, 2743, 1005, 13780, 1048, 1026, 3489, 1009, 14246, 6296, 1009, 8879, 28565, 2032, 1072, 1784, 6272, 1096, 6740, 1118, 6588, 1048, 1044, 1807, 2285, 1009, 3978, 1060, 6317, 10382, 3241, 1124, 10529, 7741, 1009, 3177, 1213, 4318, 1271, 3978, 1187, 3056, 11511, 25920, 25478, 11797, 1026, 2999, 7148, 1188, 8981, 5162, 1005, 3978, 1009, 6296, 8317, 1187, 2967, 2972, 25000, 6407, 1005, 6571, 1009, 8879, 28565, 2032, 2170, 1054, 2088, 9677, 1132, 7180, 5031, 4846, 3423, 2668, 2350, 5856, 6296, 1318, 7004, 1046, 1006, 5309, 6272, 1068, 1006, 4668, 1049, 31910, 3021, 2393, 41, 9435, 1711, 1766, 12211, 15265, 1049, 7483, 14686, 1041, 2241, 2453, 1009, 10063, 6907, 1495, 1006, 9707, 1072, 3099, 17072, 1305, 13357, 1072, 2790, 1187, 26276, 1005, 1043, 1132, 8829, 1248, 1173, 1361, 1213, 3090, 1060, 29126, 1005, 1233, 19701, 1049, 13380, 1072, 3878, 1026, 1712, 8271, 5178, 13906, 3136, 1986, 1006, 4515, 2094, 1114, 3696, 1009, 14790, 1049, 3284, 1060, 2844, 1112, 1049, 9989, 1900, 1018, 4190, 5723, 3382, 1048, 1465, 2262, 1006, 1172, 3333, 1253, 1180, 12, 9472, 4513, 3013, 1060, 1180, 40, 6822, 1048, 17384, 3838, 6647, 3568, 1072, 3878, 1026, 19277, 3475, 1006, 1058, 17704, 5177, 1278, 1322, 1026, 12782, 3925, 12311, 1124, 25525, 1005, 10914, 1157, 1124, 1023, 7854, 20, 20037, 23227, 1006, 1863, 4719, 16622, 1277, 12103, 1184, 1009, 1799, 11, 1054, 2869, 1213, 12782, 16512, 1077, 1026, 15320, 1027, 1006, 2824, 5843, 5963, 3537, 1776, 31786, 1060, 9269, 1006, 18917, 1195, 1009, 10459, 7089, 6033, 16442, 1009, 3047, 12922, 1026, 3991, 1337, 3353, 1049, 2778, 8888, 1062, 1195, 10813, 1599, 1114, 15381, 1006, 7294, 3646, 4059, 5562, 1118, 2687, 1007, 19, 5312, 1100, 1043, 6841, 1009, 1487, 2721, 3328, 3349, 1213, 13550, 1060, 3757, 1475, 3567, 1138, 3991, 1337, 3353, 1049, 5453, 4409, 1049, 19469, 1126, 5421, 2408, 1114, 1156, 11426, 1134, 8455, 1074, 5559, 18, 1195, 1023, 6523, 1006, 7294, 3130, 31, 5205, 1118, 10338, 2166, 8436, 12311, 14260, 27319, 1009, 7294, 1782, 30962, 1006, 1067, 4820, 30134, 10932, 1006, 29126, 1009, 7483, 1238, 2795, 1961, 1072, 3878, 1620, 1325, 1054, 1235, 19392, 1043, 11098, 5068, 3121, 1726, 17473, 1048, 18140, 2044, 1412, 1006, 3583, 1009, 9762, 1294, 5918, 1279, 1102, 1463, 3145, 5852, 1049, 29448, 8271, 1294, 4679, 7872, 2247, 1049, 3124, 1009, 1006, 3364, 1271, 3905, 1620, 2593, 1054, 4415, 1009, 1795, 8673, 1206, 1043, 20572, 1419, 74, 2223, 5011, 1006, 1011, 1889, 1009, 1125, 1061, 1081, 3904, 1054, 8282, 22309, 11331, 1140, 2309, 5278, 1054, 28807, 4908, 3099, 2175, 1100, 1054, 2191, 1726, 18288, 10292, 27617, 1837, 3971, 7256, 4917, 1009, 29699, 6751, 5756, 12854, 21356, 1112, 1294, 1244, 8554, 1043, 1132, 16220, 10682, 1166, 1356, 4316, 1009, 11609, 4429, 1473, 1166, 1054, 12935, 20075, 1140, 2663, 75, 1292, 8392, 1068, 1124, 24621, 1238, 2795, 1145, 1005, 1125, 1061, 1081, 1847, 10813, 2585, 23227, 1006, 2824, 7631, 2414, 2337, 6487, 3829, 1005, 1006, 2824, 4110, 2534, 3502, 6487, 27996, 20260, 5300, 1043, 16267, 19689, 1009, 3519, 7089, 1054, 2869, 1213, 13550, 1060, 9137, 18285, 1, 1063, 8135, 2277, 1026, 30109, 1043, 1006, 1745, 4852, 1271, 14964, 16247, 1060, 1128, 3083, 18030, 2252, 1124, 11723, 2258, 10828, 1446, 74, 10581, 1566, 2643, 10354, 15475, 1159, 1072, 3041, 25720, 1233, 21155, 4850, 1060, 6651, 2373, 71, 1521, 3822, 21750, 4324, 10764, 1213, 1048, 1006, 7298, 22023, 12904, 54, 1265, 1508, 1009, 2475, 30, 14684, 3618, 2565, 1996, 1060, 21155, 1068, 9670, 14684, 27319, 2271, 1026, 5606, 1271, 6444, 20, 2804, 1133, 7859, 1068, 3042, 5184, 1006, 17028, 1754, 1006, 8083, 14775, 1068, 1132, 5734, 7094, 1365, 1764, 14395, 1005, 2915, 4324, 9038, 1620, 1026, 10639, 5464, 23190, 1271, 3354, 1095, 3795, 1060, 7298, 12978, 1006, 1745, 4852, 1187, 14684, 6842, 1068, 1026, 26643, 1054, 2638, 10798, 1026, 1048, 4291, 6588, 1026, 17392, 1049, 2285, 1009, 14964, 20, 2373, 7283, 1878, 21104, 1048, 1006, 2900, 1318, 2395, 1091, 1986, 1006, 1745, 4852, 1187, 14684, 6842, 1005, 1048, 2374, 2481, 26130, 18, 1114, 29974, 14684, 1318, 1068, 1124, 2089, 11723, 4324, 9301, 18, 24275, 1048, 1620, 4682, 1006, 6496, 1060, 1128, 3083, 60, 1381, 1044, 19472, 2373, 71, 1521, 3822, 29078, 85, 4324, 10764, 1679, 5891, 1493, 4331, 1049, 1048, 1058, 2265, 1006, 5980, 8937, 1060, 7298, 1533, 1128, 3083, 60, 8944, 1048, 1132, 9368, 1826, 1006, 10881, 2252, 1124, 5567, 1009, 3227, 12524, 1312, 1068, 1124, 8203, 1957, 23171, 6379, 13233, 1026, 17993, 1233, 4716, 1009, 2306, 26393, 1566, 1261, 1026, 8036, 4408, 6434, 6598, 1188, 1996, 1060, 8685, 1213, 15142, 1520, 1100, 1068, 4379, 30426, 12904, 53, 2490, 1009, 10593, 1054, 2252, 1124, 3905, 1187, 15142, 1520, 1229, 1026, 3603, 4408, 6434, 1233, 3583, 1049, 15142, 1520, 1100, 1026, 31587, 2952, 1992, 1159, 22916, 1990, 1005, 21190, 8268, 18553, 2643, 2281, 8580, 1402, 1114, 27677, 1118, 2220, 1026, 16896, 2958, 14062, 1463, 6444, 1060, 1128, 3083, 18030, 1992, 1159, 1118, 1664, 1132, 9368, 2170, 1495, 1213, 5847, 1160, 1058, 2683, 1079, 2073, 1201, 17016, 1048, 3241, 14691, 1114, 6406, 1187, 10330, 8042, 1043, 1132, 14684, 1060, 7298, 4324, 13658, 1006, 3028, 4633, 27281, 6315, 1371, 1048, 1996, 1060, 12849, 1187, 2835, 1229, 1124, 14964, 16247, 1009, 9368, 1068, 1124, 5492, 11723, 1049, 26643, 2829, 2728, 1580, 1357, 1128, 3083, 60, 1043, 7828, 17842, 2472, 2905, 1118, 2125, 10943, 56, 19, 8360, 6514, 18, 1043, 4008, 1068, 18149, 9368, 2904, 22299, 9953, 1566, 1225, 14684, 15475, 1068, 2252, 1124, 11723, 1005, 10396, 9238, 9368, 4937, 1412, 1054, 3227, 1986, 1006, 1745, 4852, 4073, 1511, 1132, 14684, 6842, 37, 2642, 1202, 18559, 1068, 2089, 14196, 1068, 2247, 1060, 1128, 5071, 18, 3283, 6394, 1132, 7593, 1009, 3227, 1141, 1259, 5330, 20037, 1128, 5071, 18, 4929, 30108, 12087, 1043, 1132, 6022, 16802, 7733, 1118, 3971, 1060, 16375, 3482, 24973, 1006, 7298, 16030, 1549, 1071, 6689, 1066, 15, 1068, 5711, 1006, 13949, 1124, 13262, 1043, 5416, 1149, 2246, 10424, 1325, 13947, 1069, 1068, 1132, 1680, 1351, 12592, 3259, 1704, 23741, 16030, 1714, 3135, 4564, 1009, 1044, 1206, 1791, 15107, 1184, 1050, 1631, 96, 1068, 1132, 4986, 3570, 74, 6436, 3421, 3493, 1006, 1080, 10306, 10948, 2822, 1049, 3810, 12686, 1026, 2285, 1009, 1869, 1095, 1166, 1356, 9851, 1359, 2801, 8989, 18275, 10449, 1505, 2283, 10523, 1272, 1187, 2258, 10828, 1446, 74, 19473, 1159, 1058, 2155, 3748, 4044, 37, 1603, 24234, 31084, 1005, 2733, 11048, 2656, 1096, 2481, 1057, 1266, 1026, 8542, 1060, 5337, 1305, 9246, 1024, 1026, 1201, 17016, 1060, 18420, 18, 5639, 6071, 3833, 1800, 1118, 1261, 15405, 1005, 3833, 1800, 1118, 1160, 1026, 1261, 20, 2656, 16491, 9443, 22217, 1068, 1132, 10385, 1026, 675, 2681, 1093, 1060, 24493, 1060, 29045, 5946, 2904, 22299, 9953 ]

[ 1005, 31775, 1045, 1400, 18328, 150, 1385, 1170, 1160, 1516, 8030, 1357, 11848, 1206, 1357, 6644, 20, 4490, 12395, 1516, 27550, 1213, 3124, 1009, 1178, 4947, 11037, 8018, 1437, 3857, 1187, 18752, 1060, 6925, 1479, 1048, 15731, 1240, 16210, 1005, 23456, 1095, 1519, 1006, 1094, 2700, 1009, 1057, 1447, 5725, 1394, 1276, 43, 25145, 1291, 1054, 27388, 18085, 1276, 8541, 9965, 1798, 1348, 1009, 1109, 74, 23535, 1048, 2257, 1094, 1023, 11096, 1009, 5638, 1005, 1048, 6409, 2593, 1054, 1791, 6453, 1072, 1592, 1557, 1276, 44, 1425, 1348, 1009, 1044, 3756, 1009, 1834, 8263, 1136, 1048, 12305, 1127, 1393, 1124, 12156, 2129, 1095, 1575, 3589, 1026, 25199, 16927, 1005, 1006, 28293, 2477, 4550, 1342, 13528, 2669, 28524, 1736, 5740, 2382, 18255, 1058, 1264, 1058, 15671, 19962, 1114, 17372, 2404, 20672, 24117, 1187, 10953, 12506, 9211, 1793, 1573, 4283, 3498, 1097, 4342, 1391, 1005, 1058, 23070, 1009, 10531, 1044, 7184, 24336, 2034, 11810, 1184, 9814, 18271, 18, 16708, 1048, 18328, 150, 1385, 1170, 21754, 1044, 11108, 1800, 3023, 1136, 2277, 9456, 27407, 1005, 6298, 2730, 25849, 1850, 11072, 1005, 20546, 1679, 10883, 1009, 11108, 1800, 9912, 1054, 28481, 14622, 1550, 3368, 5494, 1159, 5224, 1048, 1644, 1046, 1049, 1852, 1049, 2552, 1136, 1005, 27661, 39, 13880, 3336, 1482, 2742, 17372, 1229, 1132, 24432, 2829, 15675, 1159, 10291, 1060, 25881, 23044, 1071, 625, 1010, 13523, 1009, 16953, 158, 14873, 626, 1349, 1026, 1638, 1005, 1006, 16251, 2829, 1124, 11723, 1187, 18041, 2585, 1068, 1571, 1006, 6925, 9090, 2535, 7211, 12374, 1094, 1834, 26553, 2097, 1132, 2208, 92, 1121, 1317, 1171, 3299, 6802, 1124, 20244, 1048, 2829, 8160, 1580, 1054, 1128, 5415, 2495, 1667, 1766, 11572, 3318, 8993, 1318, 15752, 12866, 1371, 1009, 2303, 1043, 1124, 6298, 7184, 4275, 1048, 1960, 1046, 1132, 24312, 9562, 31893, 1550, 3368, 1006, 2822, 1009, 7737, 1094, 2423, 3318, 1553, 1048, 1463, 14541, 18820, 18833, 19, 1034, 2373, 71, 17377, 1271, 28234, 8226, 2013, 1761, 20801, 85, 1048, 18328, 150, 1385, 1170, 3241, 27676, 1054, 4732, 1271, 13043, 1678, 1005, 1224, 11848, 1187, 7328, 3318, 8993, 1160, 1195, 2116, 1140, 1054, 3751, 2223, 2605, 1837, 11810, 1009, 1048, 1264, 3241, 5365, 1069, 1132, 16159, 1365, 1132, 2050, 21050, 5494, 1159, 5224, 1201, 1402, 1072, 1992, 3509, 31791, 1009, 18328, 150, 1385, 4525, 3702, 1160, 2374, 11390, 1048, 1264, 3241, 8744, 1006, 10151, 1112, 3960, 31791, 1704, 11108, 1800, 1009, 18328, 150, 1385, 1170, 1195, 8744, 1054, 1044, 5239, 1184, 15043, 1005, 1184, 21137, 1118, 3237, 1078, 2363, 1005, 5451, 10260, 1456, 3189, 1074, 1114, 8928, 1008, 1041, 1165, 1719, 3336, 18328, 150, 1385, 1170, 9048, 3189, 1114, 10363, 1009, 1094, 4123, 1184, 7781, 1291, 1049, 5675, 1060, 6925, 1846, 1060, 3248, 1005, 1054, 2225, 1024, 1044, 3756, 1009, 1834, 1048, 1516, 25491, 1118, 1235, 13528, 1005, 13560, 1005, 1048, 3684, 16068, 2653, 13220, 1929, 1252, 1166, 1533, 1633, 2587, 18328, 1165, 13691, 5, 8197, 2829, 1124, 9447, 1005, 1124, 7055, 1049, 18328, 150, 1385, 1170, 6191, 37, 4378, 4380, 12567, 2987, 3895, 2923, 1114, 11408, 1038, 3013, 1633, 2587, 18328, 1165, 13691, 1118, 4320, 9702, 20, 4293, 29220, 1026, 3266, 18328, 150, 1385, 1170, 1160, 5444, 15259, 1009, 1871, 1048, 2930, 4318, 1006, 5085, 1009, 1569, 9447, 1096, 5560, 23037, 1009, 15527, 1009, 3078, 12111, 1482, 2277, 8248, 1160, 1837, 3819, 17597, 28324, 3092, 1009, 18328, 150, 1385, 12316, 24231, 2521, 1118, 18328, 150, 1385, 1170, 1026, 1048, 15332, 1027, 1005, 1842, 1051, 5078, 2578, 6470, 1118, 30251, 1485, 2223, 1482, 5064, 8248, 4564, 23068, 1187, 4181, 15527, 3751, 1166, 1322, 18328, 150, 1385, 4525, 12724, 6151, 9377, 1646, 1986, 1224, 12665, 7135, 1975, 20, 1482, 28061, 1325, 5573, 1048, 5680, 15527, 23355, 1046, 1365, 4384, 1054, 8040, 3927, 23105, 11203, 2848, 12625, 1118, 4384, 26915, 1566, 1650, 6802, 1026, 2863, 1009, 7556, 1124, 14417, 20110, 1392, 1009, 18328, 150, 1385, 1170, 1184, 4417, 1049, 1048, 1026, 2909, 1068, 2073, 2143, 15044, 26082, 1309, 1044, 12035, 9920, 2522, 1145, 1006, 7401, 1184, 1620, 5653, 2922, 1049, 3009, 6297, 27770, 1511, 1596, 12724, 1132, 4181, 15527, 3751, 1166, 1322, 18328, 150, 1385, 1170, 1048, 7135, 1975, 1311, 4046, 1229, 18328, 150, 1385, 1170, 1516, 2265, 4576, 1054, 2088, 11527, 3085, 1229, 1159, 1026, 15044, 10095, 3694, 1049, 1428, 8613, 1079, 2289, 1026, 1048, 1516, 4556, 1114, 8928, 20110, 1145, 11394, 1377, 4116, 1852, 1049, 3009, 1156, 27770, 1094, 23104, 11818, 1009, 4106, 2284, 2281, 1234, 18225, 1054, 1720, 1009, 18328, 150, 1385, 1170, 1005, 1009, 1734, 1008, 1041, 1165, 16919, 17498, 1048, 12401, 1648, 1178, 1132, 9800, 1008, 1041, 1165, 16919, 12951, 1187, 2688, 15332, 1027, 1005, 31775, 3294, 8613, 1412, 1569, 8582, 1184, 4412, 20, 2858, 12196, 1234, 14641, 1072, 1720, 1009, 5401, 1418, 1009, 9805, 1092, 1195, 16147, 1026, 2550, 1068, 1026, 5401, 1418, 1009, 15332, 1627, 1060, 2921, 1871, 1048, 1132, 17285, 1234, 22552, 31323, 1006, 5451, 1907, 1596, 16147, 1026, 2550, 1068, 1124, 17768, 4838, 1009, 31775, 1045, 2223, 1138, 3266, 18328, 150, 1385, 1170, 1195, 8220, 1159, 1847, 1044, 10741, 1813, 1017, 1060, 16571, 76, 12755, 1009, 15332, 1627, 1114, 1428, 1026, 2858, 1005, 1006, 1119, 162, 1140, 1327, 1132, 4181, 9456, 20, 6751, 1160, 4564, 1124, 11810, 1184, 9814, 1322, 1124, 9447, 1009, 18328, 150, 1385, 1170, 1327, 1448, 1265, 1016, 1005, 16268, 1041, 11596, 8261, 2247, 2668, 1596, 1198, 2174, 6584, 1357, 6820, 1496, 5398, 21406, 1009, 18328, 150, 1385, 4525, 1048, 1058, 4312, 22434, 1114, 1614, 1706, 3843, 1119, 1312, 6546, 14075, 18, 1006, 3964, 5939, 17113, 1068, 6679, 1233, 1633, 2587, 18328, 1165, 13691, 1976, 5184, 2691, 11810, 1184, 5896, 1273, 1048, 1327, 15969, 1271, 14495, 18820, 1009, 26805, 2616, 18328, 150, 1385, 4525, 1005, 2071, 1026, 19140, 1048, 6132, 75, 11788, 11810, 9814, 1159, 1026, 4308, 1068, 6621, 1049, 1048, 1298, 1178, 23334, 1005, 1026, 1048, 1976, 1178, 9934, 4039, 1114, 8928, 5547, 20, 2773, 1435, 2742, 5939, 18, 12843, 9044, 81, 28651, 1054, 1235, 3066, 1048, 8171, 4180, 1967, 8360, 31847, 12323, 1079, 3028, 9822, 1322, 1006, 1633, 2587, 18328, 1165, 1719, 1961, 1005, 1664, 1132, 20208, 16304, 1009, 18328, 150, 1385, 4525, 7008, 1668, 19651, 2476, 9329, 1046, 1322, 1687, 4355, 16046, 16149, 3840, 3101, 1252, 2570, 1392, 1322, 18328, 150, 1385, 1170, 5640, 3171, 22910, 1726, 6768, 1322, 1006, 1834, 1005, 1006, 9976, 1009, 18328, 150, 1385, 1170, 1327, 1680, 14274, 2585, 1309, 1096, 11246, 12746, 1006, 4380, 1008, 1041, 1165, 13691, 1305, 18, 1356, 16833, 1094, 20297, 6553, 1126, 1060, 5154, 2357, 9147, 20135, 2013, 1853, 5184, 1043, 1124, 12898, 2897, 1005, 1184, 4856, 4275, 11810, 9814, 1005, 4524, 1054, 4188, 1726, 11810, 1184, 1494, 8473, 1766, 1184, 3751, 1166, 1005, 12898, 1010, 2170, 5819, 1132, 1184, 26220, 15527, 1322, 1006, 1834, 1009, 18328, 150, 1385, 1170, 1005, 1569, 8582, 14624, 1046, 1049, 3009, 6297, 1004, 3375, 4437, 8134, 14558, 1646, 1846, 1048, 1264, 6229, 20, 4815, 2158, 20013, 2955, 5111, 3210, 7045, 2704, 1004, 3375, 15, 1005, 1505, 76, 21560, 19679, 26, 25714, 27, 1004, 8892, 15, 18727, 26514, 1752, 1044, 13216, 1094, 9684, 1009, 18328, 150, 1385, 4525, 2097, 1180, 1877, 1245, 1221, 18369, 27, 7252, 3413, 13619, 15, 5444, 11090, 1006, 9684, 18328, 1165, 1719, 1961, 1048, 5631, 2088, 1858, 5409, 77, 30617, 1309, 1043, 1184, 7051, 1072, 3756, 1009, 1834, 13551, 1118, 18328, 150, 1385, 1170, 1068, 1456, 13220, 20, 7027, 5680, 5278, 1596, 12724, 2730, 2803, 1054, 1048, 1124, 20242, 1009, 18328, 150, 1385, 1170, 1058, 1650, 2241, 26755, 16802, 1153, 21579, 4815, 2158, 20013, 1298, 1178, 4947, 1043, 3473, 18184, 2950, 1233, 1224, 1969, 21616, 1309, 1180, 1877, 1245, 1221, 1005, 1026, 1505, 76, 21560, 2643, 11819, 1048, 2574, 2643, 1006, 1419, 1043, 1006, 6553, 5068, 3774, 3336, 1180, 1877, 1245, 1221, 4955, 18328, 150, 1385, 1170, 1159, 1094, 6925, 17046, 2309, 19488, 1068, 8953, 3256, 1006, 12718, 6424, 624, 30500, 1052, 18157, 6275, 19, 3949, 1565, 1138, 2011, 1009, 1180, 1877, 1245, 1221, 1195, 14130, 1026, 1831, 1009, 1044, 3225, 1009, 2256, 10441, 1400, 1048, 1009, 3124, 2373, 86, 1041, 1165, 4142, 1079, 626, 1026, 29400, 29091, 1081, 5120, 3702, 1026, 1008, 1041, 1165, 1017, 1876, 8220, 4219, 1094, 19100, 3486, 1009, 1180, 1877, 1245, 1221, 1322, 1044, 18328, 150, 1385, 1170, 14062, 9479, 1043, 1006, 30029, 1049, 1048, 1044, 17597, 1049, 1008, 1041, 1165, 1017, 1876, 6934, 1054, 11810, 4500, 1728, 1505, 76, 21560, 1318, 31164, 8040, 1863, 2972, 1009, 18328, 150, 1385, 1170, 1005, 1026, 10013, 3179, 1159, 1044, 12044, 1009, 5412, 7821, 1877, 1245, 1221, 17344, 2322, 1565, 11203, 2125, 15527, 1009, 18328, 150, 1385, 1170, 1049, 3009, 6297, 1596, 18, 1118, 1224, 5326, 11627, 1054, 6768, 1184, 5896, 1273, 1048, 1596, 3215, 1580, 12448, 6897, 5856, 6768, 1184, 9701, 1596, 1493, 9577, 11534, 1357, 7059, 1187, 4208, 1568, 1041, 1165, 16919, 1322, 18328, 150, 1385, 4525, 1048, 1026, 9977, 1159, 1847, 1006, 4633, 1009, 2693, 1006, 9976, 2831, 2469, 15994, 8582, 15332, 1627, 31775, 3294, 1005, 1664, 1132, 10953, 12506, 24705, 1184, 7739, 1536, 1165, 13596, 20, 1180, 1877, 1245, 1221, 23499, 1124, 5409, 23818, 1009, 18328, 150, 1385, 1170, 20214, 1118, 7695, 169, 1183, 1066, 1009, 11354, 1352, 1005, 23255, 3809, 1009, 1128, 2860, 1005, 3449, 1030, 11713, 1016, 3778, 12898, 3830, 1592, 1511, 1160, 1124, 1011, 9561, 7695, 169, 1183, 1066, 28929, 3886, 1005, 9377, 1004, 8892, 15, 25985, 1006, 18328, 150, 1385, 1170, 1094, 6462, 76, 12755, 3759, 3046, 14622, 6720, 1005, 1238, 1105, 1252, 20146, 1005, 1048, 2714, 1665, 1009, 3124, 1006, 3501, 2404, 1048, 12529, 75, 1026, 14622, 1081, 1876, 1005, 1026, 1238, 1105, 25876, 1876, 1071, 5359, 12006, 1233, 1063, 1408, 83, 4405, 19467, 11913, 2097, 23255, 3809, 3414, 1414, 20, 1156, 1004, 8892, 15, 4923, 1153, 1589, 18328, 150, 1385, 1170, 1159, 1026, 2550, 1118, 1224, 1834, 10959, 21887, 1505, 76, 21560, 8126, 54, 9417, 7942, 5463, 23499, 21369, 4978, 1153, 1164, 1009, 1163, 8177, 1159, 1094, 1009, 1569, 6768, 20, 4978, 1153, 1164, 1195, 1044, 4208, 1568, 1041, 1165, 7919, 1666, 1526, 1049, 3009, 1156, 1004, 3375, 4437, 1048, 18695, 1048, 15332, 1627, 31775, 1045, 1400, 1005, 1456, 4988, 1542, 1292, 1093, 1192, 1100, 1594, 2575, 94, 2816, 1005, 1842, 1051, 3499, 26468, 25322, 1068, 4384, 2289, 1026, 1048, 1516, 5686, 2230, 1471, 1072, 1008, 1041, 1165, 1017, 5120, 5176, 1435, 1233, 4044, 4564, 1026, 1048, 1516, 28159, 1005, 1746, 1070, 1230, 4334, 28697, 24665, 1307, 6259, 1565, 4815, 2158, 20013, 2955, 3908, 2037, 1048, 3449, 1261, 2444, 27816, 4987, 1233, 13943, 1008, 1041, 1165, 1719, 1961, 28868, 1235, 17597, 1060, 9976, 1009, 18328, 150, 1385, 1170, 8126, 7251, 20, 2978, 19, 4406, 15, 1463, 8725, 3220, 18328, 1165, 26745, 4726, 1312, 1118, 14819, 27457, 24618, 2212, 1048, 1327, 1094, 17281, 2484, 1060, 8576, 1009, 2916, 1009, 1360, 13619, 1005, 1048, 5176, 1040, 1006, 18328, 150, 1385, 1170, 1160, 1998, 1124, 8582, 14622, 1550, 3589, 1309, 1318, 1124, 19597, 1392, 4045, 1189, 81, 1396, 15138, 1126, 17074, 33, 6760, 2807, 11057, 23384, 8221, 5463, 27956, 8725, 3220, 18328, 1165, 1719, 3589, 18328, 150, 1385, 1170, 1096, 12296, 1069, 1159, 4327, 1048, 21493, 1006, 1025, 1550, 1140, 1005, 1006, 1004, 162, 1140, 16695, 1236, 1159, 9456, 1455, 17970, 168, 1013, 1229, 1187, 2688, 19942, 1831, 1132, 2050, 21050, 1846, 1124, 11699, 1536, 5817, 1005, 9196, 4514, 2170, 19017, 1132, 11572, 1049, 1784, 22834, 4334, 79, 2158, 20013, 2955, 5111, 20644, 20, 2971, 1565, 3204, 1096, 1026, 2380, 20110, 1221, 1048, 1096, 17429, 1184, 13863, 1006, 18328, 150, 1385, 1170, 1357, 8928, 9263, 1024, 1105, 1252, 27523, 1126, 1005, 1096, 5413, 1318, 1054, 15527, 3751, 1166, 1009, 1603, 2335, 18569, 31188, 3414, 14974, 3801, 1004, 8892, 15, 1322, 1026, 1008, 1041, 1165, 1017, 1876, 2170, 1184, 3927, 1974, 3240, 1114, 29628, 1009, 9447, 1009, 10953, 12506, 11394, 1229, 1048, 1195, 8331, 1140, 1118, 1063, 23882, 1072, 3009, 1156, 1004, 8892, 1005, 1048, 2155, 1495, 2899, 1684, 10649, 1100, 19504, 1382, 1009, 31775, 3294, 8399, 3018, 11462, 1119, 2732, 1678, 5311, 94, 20523, 79, 2330, 1087, 79, 19467, 5142, 30, 1565, 1138, 20961, 1009, 31775, 1045, 1400, 1072, 2268, 6733, 6255, 5573, 1048, 1668, 1516, 1026, 2380, 20110, 1221, 1009, 15332, 1027, 1054, 1456, 4181, 1646, 1005, 1160, 1009, 18328, 150, 1385, 1170, 1206, 1592, 1187, 1008, 1041, 1165, 16919, 1184, 5896, 1554, 31775, 3294, 1096, 22909, 1177, 1511, 1919, 1048, 1006, 1004, 162, 1140, 16695, 1236, 1096, 4173, 1009, 15332, 1027, 3306, 3438, 76, 12755 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31775, 1045, 1400, 18328, 150, 1385, 1170, 1160, 1516, 8030, 1357, 11848, 1206, 1357, 6644, 20, 4490, 12395, 1516, 27550, 1213, 3124, 1009, 1178, 4947, 11037, 8018, 1437, 3857, 1187, 18752, 1060, 6925, 1479, 1048, 15731, 1240, 16210, 1005, 23456, 1095, 1519, 1006, 1094, 2700, 1009, 1057, 1447, 5725, 1394, 1276, 43, 25145, 1291, 1054, 27388, 18085, 1276, 8541, 9965, 1798, 1348, 1009, 1109, 74, 23535, 1048, 2257, 1094, 1023, 11096, 1009, 5638, 1005, 1048, 6409, 2593, 1054, 1791, 6453, 1072, 1592, 1557, 1276, 44, 1425, 1348, 1009, 1044, 3756, 1009, 1834, 8263, 1136, 1048, 12305, 1127, 1393, 1124, 12156, 2129, 1095, 1575, 3589, 1026, 25199, 16927, 1005, 1006, 28293, 2477, 4550, 1342, 13528, 2669, 28524, 1736, 5740, 2382, 18255, 1058, 1264, 1058, 15671, 19962, 1114, 17372, 2404, 20672, 24117, 1187, 10953, 12506, 9211, 1793, 1573, 4283, 3498, 1097, 4342, 1391, 1005, 1058, 23070, 1009, 10531, 1044, 7184, 24336, 2034, 11810, 1184, 9814, 18271, 18, 16708, 1048, 18328, 150, 1385, 1170, 21754, 1044, 11108, 1800, 3023, 1136, 2277, 9456, 27407, 1005, 6298, 2730, 25849, 1850, 11072, 1005, 20546, 1679, 10883, 1009, 11108, 1800, 9912, 1054, 28481, 14622, 1550, 3368, 5494, 1159, 5224, 1048, 1644, 1046, 1049, 1852, 1049, 2552, 1136, 1005, 27661, 39, 13880, 3336, 1482, 2742, 17372, 1229, 1132, 24432, 2829, 15675, 1159, 10291, 1060, 25881, 23044, 1071, 625, 1010, 13523, 1009, 16953, 158, 14873, 626, 1349, 1026, 1638, 1005, 1006, 16251, 2829, 1124, 11723, 1187, 18041, 2585, 1068, 1571, 1006, 6925, 9090, 2535, 7211, 12374, 1094, 1834, 26553, 2097, 1132, 2208, 92, 1121, 1317, 1171, 3299, 6802, 1124, 20244, 1048, 2829, 8160, 1580, 1054, 1128, 5415, 2495, 1667, 1766, 11572, 3318, 8993, 1318, 15752, 12866, 1371, 1009, 2303, 1043, 1124, 6298, 7184, 4275, 1048, 1960, 1046, 1132, 24312, 9562, 31893, 1550, 3368, 1006, 2822, 1009, 7737, 1094, 2423, 3318, 1553, 1048, 1463, 14541, 18820, 18833, 19, 1034, 2373, 71, 17377, 1271, 28234, 8226, 2013, 1761, 20801, 85, 1048, 18328, 150, 1385, 1170, 3241, 27676, 1054, 4732, 1271, 13043, 1678, 1005, 1224, 11848, 1187, 7328, 3318, 8993, 1160, 1195, 2116, 1140, 1054, 3751, 2223, 2605, 1837, 11810, 1009, 1048, 1264, 3241, 5365, 1069, 1132, 16159, 1365, 1132, 2050, 21050, 5494, 1159, 5224, 1201, 1402, 1072, 1992, 3509, 31791, 1009, 18328, 150, 1385, 4525, 3702, 1160, 2374, 11390, 1048, 1264, 3241, 8744, 1006, 10151, 1112, 3960, 31791, 1704, 11108, 1800, 1009, 18328, 150, 1385, 1170, 1195, 8744, 1054, 1044, 5239, 1184, 15043, 1005, 1184, 21137, 1118, 3237, 1078, 2363, 1005, 5451, 10260, 1456, 3189, 1074, 1114, 8928, 1008, 1041, 1165, 1719, 3336, 18328, 150, 1385, 1170, 9048, 3189, 1114, 10363, 1009, 1094, 4123, 1184, 7781, 1291, 1049, 5675, 1060, 6925, 1846, 1060, 3248, 1005, 1054, 2225, 1024, 1044, 3756, 1009, 1834, 1048, 1516, 25491, 1118, 1235, 13528, 1005, 13560, 1005, 1048, 3684, 16068, 2653, 13220, 1929, 1252, 1166, 1533, 1633, 2587, 18328, 1165, 13691, 5, 8197, 2829, 1124, 9447, 1005, 1124, 7055, 1049, 18328, 150, 1385, 1170, 6191, 37, 4378, 4380, 12567, 2987, 3895, 2923, 1114, 11408, 1038, 3013, 1633, 2587, 18328, 1165, 13691, 1118, 4320, 9702, 20, 4293, 29220, 1026, 3266, 18328, 150, 1385, 1170, 1160, 5444, 15259, 1009, 1871, 1048, 2930, 4318, 1006, 5085, 1009, 1569, 9447, 1096, 5560, 23037, 1009, 15527, 1009, 3078, 12111, 1482, 2277, 8248, 1160, 1837, 3819, 17597, 28324, 3092, 1009, 18328, 150, 1385, 12316, 24231, 2521, 1118, 18328, 150, 1385, 1170, 1026, 1048, 15332, 1027, 1005, 1842, 1051, 5078, 2578, 6470, 1118, 30251, 1485, 2223, 1482, 5064, 8248, 4564, 23068, 1187, 4181, 15527, 3751, 1166, 1322, 18328, 150, 1385, 4525, 12724, 6151, 9377, 1646, 1986, 1224, 12665, 7135, 1975, 20, 1482, 28061, 1325, 5573, 1048, 5680, 15527, 23355, 1046, 1365, 4384, 1054, 8040, 3927, 23105, 11203, 2848, 12625, 1118, 4384, 26915, 1566, 1650, 6802, 1026, 2863, 1009, 7556, 1124, 14417, 20110, 1392, 1009, 18328, 150, 1385, 1170, 1184, 4417, 1049, 1048, 1026, 2909, 1068, 2073, 2143, 15044, 26082, 1309, 1044, 12035, 9920, 2522, 1145, 1006, 7401, 1184, 1620, 5653, 2922, 1049, 3009, 6297, 27770, 1511, 1596, 12724, 1132, 4181, 15527, 3751, 1166, 1322, 18328, 150, 1385, 1170, 1048, 7135, 1975, 1311, 4046, 1229, 18328, 150, 1385, 1170, 1516, 2265, 4576, 1054, 2088, 11527, 3085, 1229, 1159, 1026, 15044, 10095, 3694, 1049, 1428, 8613, 1079, 2289, 1026, 1048, 1516, 4556, 1114, 8928, 20110, 1145, 11394, 1377, 4116, 1852, 1049, 3009, 1156, 27770, 1094, 23104, 11818, 1009, 4106, 2284, 2281, 1234, 18225, 1054, 1720, 1009, 18328, 150, 1385, 1170, 1005, 1009, 1734, 1008, 1041, 1165, 16919, 17498, 1048, 12401, 1648, 1178, 1132, 9800, 1008, 1041, 1165, 16919, 12951, 1187, 2688, 15332, 1027, 1005, 31775, 3294, 8613, 1412, 1569, 8582, 1184, 4412, 20, 2858, 12196, 1234, 14641, 1072, 1720, 1009, 5401, 1418, 1009, 9805, 1092, 1195, 16147, 1026, 2550, 1068, 1026, 5401, 1418, 1009, 15332, 1627, 1060, 2921, 1871, 1048, 1132, 17285, 1234, 22552, 31323, 1006, 5451, 1907, 1596, 16147, 1026, 2550, 1068, 1124, 17768, 4838, 1009, 31775, 1045, 2223, 1138, 3266, 18328, 150, 1385, 1170, 1195, 8220, 1159, 1847, 1044, 10741, 1813, 1017, 1060, 16571, 76, 12755, 1009, 15332, 1627, 1114, 1428, 1026, 2858, 1005, 1006, 1119, 162, 1140, 1327, 1132, 4181, 9456, 20, 6751, 1160, 4564, 1124, 11810, 1184, 9814, 1322, 1124, 9447, 1009, 18328, 150, 1385, 1170, 1327, 1448, 1265, 1016, 1005, 16268, 1041, 11596, 8261, 2247, 2668, 1596, 1198, 2174, 6584, 1357, 6820, 1496, 5398, 21406, 1009, 18328, 150, 1385, 4525, 1048, 1058, 4312, 22434, 1114, 1614, 1706, 3843, 1119, 1312, 6546, 14075, 18, 1006, 3964, 5939, 17113, 1068, 6679, 1233, 1633, 2587, 18328, 1165, 13691, 1976, 5184, 2691, 11810, 1184, 5896, 1273, 1048, 1327, 15969, 1271, 14495, 18820, 1009, 26805, 2616, 18328, 150, 1385, 4525, 1005, 2071, 1026, 19140, 1048, 6132, 75, 11788, 11810, 9814, 1159, 1026, 4308, 1068, 6621, 1049, 1048, 1298, 1178, 23334, 1005, 1026, 1048, 1976, 1178, 9934, 4039, 1114, 8928, 5547, 20, 2773, 1435, 2742, 5939, 18, 12843, 9044, 81, 28651, 1054, 1235, 3066, 1048, 8171, 4180, 1967, 8360, 31847, 12323, 1079, 3028, 9822, 1322, 1006, 1633, 2587, 18328, 1165, 1719, 1961, 1005, 1664, 1132, 20208, 16304, 1009, 18328, 150, 1385, 4525, 7008, 1668, 19651, 2476, 9329, 1046, 1322, 1687, 4355, 16046, 16149, 3840, 3101, 1252, 2570, 1392, 1322, 18328, 150, 1385, 1170, 5640, 3171, 22910, 1726, 6768, 1322, 1006, 1834, 1005, 1006, 9976, 1009, 18328, 150, 1385, 1170, 1327, 1680, 14274, 2585, 1309, 1096, 11246, 12746, 1006, 4380, 1008, 1041, 1165, 13691, 1305, 18, 1356, 16833, 1094, 20297, 6553, 1126, 1060, 5154, 2357, 9147, 20135, 2013, 1853, 5184, 1043, 1124, 12898, 2897, 1005, 1184, 4856, 4275, 11810, 9814, 1005, 4524, 1054, 4188, 1726, 11810, 1184, 1494, 8473, 1766, 1184, 3751, 1166, 1005, 12898, 1010, 2170, 5819, 1132, 1184, 26220, 15527, 1322, 1006, 1834, 1009, 18328, 150, 1385, 1170, 1005, 1569, 8582, 14624, 1046, 1049, 3009, 6297, 1004, 3375, 4437, 8134, 14558, 1646, 1846, 1048, 1264, 6229, 20, 4815, 2158, 20013, 2955, 5111, 3210, 7045, 2704, 1004, 3375, 15, 1005, 1505, 76, 21560, 19679, 26, 25714, 27, 1004, 8892, 15, 18727, 26514, 1752, 1044, 13216, 1094, 9684, 1009, 18328, 150, 1385, 4525, 2097, 1180, 1877, 1245, 1221, 18369, 27, 7252, 3413, 13619, 15, 5444, 11090, 1006, 9684, 18328, 1165, 1719, 1961, 1048, 5631, 2088, 1858, 5409, 77, 30617, 1309, 1043, 1184, 7051, 1072, 3756, 1009, 1834, 13551, 1118, 18328, 150, 1385, 1170, 1068, 1456, 13220, 20, 7027, 5680, 5278, 1596, 12724, 2730, 2803, 1054, 1048, 1124, 20242, 1009, 18328, 150, 1385, 1170, 1058, 1650, 2241, 26755, 16802, 1153, 21579, 4815, 2158, 20013, 1298, 1178, 4947, 1043, 3473, 18184, 2950, 1233, 1224, 1969, 21616, 1309, 1180, 1877, 1245, 1221, 1005, 1026, 1505, 76, 21560, 2643, 11819, 1048, 2574, 2643, 1006, 1419, 1043, 1006, 6553, 5068, 3774, 3336, 1180, 1877, 1245, 1221, 4955, 18328, 150, 1385, 1170, 1159, 1094, 6925, 17046, 2309, 19488, 1068, 8953, 3256, 1006, 12718, 6424, 624, 30500, 1052, 18157, 6275, 19, 3949, 1565, 1138, 2011, 1009, 1180, 1877, 1245, 1221, 1195, 14130, 1026, 1831, 1009, 1044, 3225, 1009, 2256, 10441, 1400, 1048, 1009, 3124, 2373, 86, 1041, 1165, 4142, 1079, 626, 1026, 29400, 29091, 1081, 5120, 3702, 1026, 1008, 1041, 1165, 1017, 1876, 8220, 4219, 1094, 19100, 3486, 1009, 1180, 1877, 1245, 1221, 1322, 1044, 18328, 150, 1385, 1170, 14062, 9479, 1043, 1006, 30029, 1049, 1048, 1044, 17597, 1049, 1008, 1041, 1165, 1017, 1876, 6934, 1054, 11810, 4500, 1728, 1505, 76, 21560, 1318, 31164, 8040, 1863, 2972, 1009, 18328, 150, 1385, 1170, 1005, 1026, 10013, 3179, 1159, 1044, 12044, 1009, 5412, 7821, 1877, 1245, 1221, 17344, 2322, 1565, 11203, 2125, 15527, 1009, 18328, 150, 1385, 1170, 1049, 3009, 6297, 1596, 18, 1118, 1224, 5326, 11627, 1054, 6768, 1184, 5896, 1273, 1048, 1596, 3215, 1580, 12448, 6897, 5856, 6768, 1184, 9701, 1596, 1493, 9577, 11534, 1357, 7059, 1187, 4208, 1568, 1041, 1165, 16919, 1322, 18328, 150, 1385, 4525, 1048, 1026, 9977, 1159, 1847, 1006, 4633, 1009, 2693, 1006, 9976, 2831, 2469, 15994, 8582, 15332, 1627, 31775, 3294, 1005, 1664, 1132, 10953, 12506, 24705, 1184, 7739, 1536, 1165, 13596, 20, 1180, 1877, 1245, 1221, 23499, 1124, 5409, 23818, 1009, 18328, 150, 1385, 1170, 20214, 1118, 7695, 169, 1183, 1066, 1009, 11354, 1352, 1005, 23255, 3809, 1009, 1128, 2860, 1005, 3449, 1030, 11713, 1016, 3778, 12898, 3830, 1592, 1511, 1160, 1124, 1011, 9561, 7695, 169, 1183, 1066, 28929, 3886, 1005, 9377, 1004, 8892, 15, 25985, 1006, 18328, 150, 1385, 1170, 1094, 6462, 76, 12755, 3759, 3046, 14622, 6720, 1005, 1238, 1105, 1252, 20146, 1005, 1048, 2714, 1665, 1009, 3124, 1006, 3501, 2404, 1048, 12529, 75, 1026, 14622, 1081, 1876, 1005, 1026, 1238, 1105, 25876, 1876, 1071, 5359, 12006, 1233, 1063, 1408, 83, 4405, 19467, 11913, 2097, 23255, 3809, 3414, 1414, 20, 1156, 1004, 8892, 15, 4923, 1153, 1589, 18328, 150, 1385, 1170, 1159, 1026, 2550, 1118, 1224, 1834, 10959, 21887, 1505, 76, 21560, 8126, 54, 9417, 7942, 5463, 23499, 21369, 4978, 1153, 1164, 1009, 1163, 8177, 1159, 1094, 1009, 1569, 6768, 20, 4978, 1153, 1164, 1195, 1044, 4208, 1568, 1041, 1165, 7919, 1666, 1526, 1049, 3009, 1156, 1004, 3375, 4437, 1048, 18695, 1048, 15332, 1627, 31775, 1045, 1400, 1005, 1456, 4988, 1542, 1292, 1093, 1192, 1100, 1594, 2575, 94, 2816, 1005, 1842, 1051, 3499, 26468, 25322, 1068, 4384, 2289, 1026, 1048, 1516, 5686, 2230, 1471, 1072, 1008, 1041, 1165, 1017, 5120, 5176, 1435, 1233, 4044, 4564, 1026, 1048, 1516, 28159, 1005, 1746, 1070, 1230, 4334, 28697, 24665, 1307, 6259, 1565, 4815, 2158, 20013, 2955, 3908, 2037, 1048, 3449, 1261, 2444, 27816, 4987, 1233, 13943, 1008, 1041, 1165, 1719, 1961, 28868, 1235, 17597, 1060, 9976, 1009, 18328, 150, 1385, 1170, 8126, 7251, 20, 2978, 19, 4406, 15, 1463, 8725, 3220, 18328, 1165, 26745, 4726, 1312, 1118, 14819, 27457, 24618, 2212, 1048, 1327, 1094, 17281, 2484, 1060, 8576, 1009, 2916, 1009, 1360, 13619, 1005, 1048, 5176, 1040, 1006, 18328, 150, 1385, 1170, 1160, 1998, 1124, 8582, 14622, 1550, 3589, 1309, 1318, 1124, 19597, 1392, 4045, 1189, 81, 1396, 15138, 1126, 17074, 33, 6760, 2807, 11057, 23384, 8221, 5463, 27956, 8725, 3220, 18328, 1165, 1719, 3589, 18328, 150, 1385, 1170, 1096, 12296, 1069, 1159, 4327, 1048, 21493, 1006, 1025, 1550, 1140, 1005, 1006, 1004, 162, 1140, 16695, 1236, 1159, 9456, 1455, 17970, 168, 1013, 1229, 1187, 2688, 19942, 1831, 1132, 2050, 21050, 1846, 1124, 11699, 1536, 5817, 1005, 9196, 4514, 2170, 19017, 1132, 11572, 1049, 1784, 22834, 4334, 79, 2158, 20013, 2955, 5111, 20644, 20, 2971, 1565, 3204, 1096, 1026, 2380, 20110, 1221, 1048, 1096, 17429, 1184, 13863, 1006, 18328, 150, 1385, 1170, 1357, 8928, 9263, 1024, 1105, 1252, 27523, 1126, 1005, 1096, 5413, 1318, 1054, 15527, 3751, 1166, 1009, 1603, 2335, 18569, 31188, 3414, 14974, 3801, 1004, 8892, 15, 1322, 1026, 1008, 1041, 1165, 1017, 1876, 2170, 1184, 3927, 1974, 3240, 1114, 29628, 1009, 9447, 1009, 10953, 12506, 11394, 1229, 1048, 1195, 8331, 1140, 1118, 1063, 23882, 1072, 3009, 1156, 1004, 8892, 1005, 1048, 2155, 1495, 2899, 1684, 10649, 1100, 19504, 1382, 1009, 31775, 3294, 8399, 3018, 11462, 1119, 2732, 1678, 5311, 94, 20523, 79, 2330, 1087, 79, 19467, 5142, 30, 1565, 1138, 20961, 1009, 31775, 1045, 1400, 1072, 2268, 6733, 6255, 5573, 1048, 1668, 1516, 1026, 2380, 20110, 1221, 1009, 15332, 1027, 1054, 1456, 4181, 1646, 1005, 1160, 1009, 18328, 150, 1385, 1170, 1206, 1592, 1187, 1008, 1041, 1165, 16919, 1184, 5896, 1554, 31775, 3294, 1096, 22909, 1177, 1511, 1919, 1048, 1006, 1004, 162, 1140, 16695, 1236, 1096, 4173, 1009, 15332, 1027, 3306, 3438, 76, 12755 ]

[ 1944, 1472, 1068, 1419, 1026, 2403, 1138, 30643, 1221, 1009, 1138, 5121, 1048, 3684, 2521, 14453, 1014, 1006, 5297, 1026, 3073, 9512, 1159, 1094, 8442, 1009, 1064, 2424, 12353, 17825, 1554, 675, 0, 5481, 2109, 1044, 12168, 1049, 2346, 1259, 1047, 2844, 1073, 6217, 1009, 10213, 20, 3072, 6489, 1006, 1224, 5266, 24554, 1054, 3237, 2404, 3394, 7537, 1967, 6955, 15, 1005, 1142, 28040, 19359, 1273, 2127, 1149, 1054, 10212, 24870, 4681, 1005, 1026, 8167, 1009, 18511, 1054, 14911, 1114, 2828, 1009, 10213, 12432, 1224, 9850, 1005, 6570, 4195, 1657, 18853, 1322, 1006, 3248, 1049, 1235, 3372, 1048, 5140, 1890, 1006, 3781, 6451, 1005, 1927, 11092, 7709, 1048, 2284, 2281, 23259, 2309, 10498, 19201, 9340, 4682, 1511, 7717, 1456, 5364, 30995, 5543, 1072, 6387, 26896, 8218, 1188, 1118, 6916, 1067, 2911, 88, 5708, 18, 1305, 1178, 2229, 3382, 1068, 17302, 73, 10577, 15079, 21556, 18788, 14142, 30556, 1118, 6098, 1294, 16131, 1114, 4317, 2485, 1044, 25195, 1304, 1009, 6935, 9923, 6256, 1345, 15493, 1278, 1048, 1026, 1235, 3372, 2284, 1025, 18325, 1463, 6000, 1187, 3267, 1573, 1681, 5135, 1166, 1717, 1006, 16727, 1026, 1048, 1195, 1044, 17134, 1068, 1264, 17409, 1646, 25579, 8987, 1379, 1184, 1009, 10757, 7268, 1187, 17495, 1049, 1765, 5664, 1017, 1009, 6935, 2613, 1122, 1829, 1005, 1195, 1023, 27089, 1348, 1060, 5623, 1315, 4405, 1387, 20182, 1945, 84, 23828, 6456, 2286, 10321, 5444, 1026, 7093, 2231, 1136, 7169, 1026, 1235, 1831, 11725, 1054, 10757, 1005, 2125, 7872, 1043, 1026, 20520, 1009, 10889, 1094, 14650, 1026, 4713, 1184, 1026, 3066, 1195, 6342, 1054, 11865, 14049, 1167, 7552, 1054, 31432, 17838, 1005, 18653, 1357, 1224, 6216, 1005, 2939, 23917, 1482, 14603, 14142, 1054, 6862, 16124, 4598, 6303, 1848, 1068, 1026, 30899, 675, 1068, 12212, 1005, 12161, 1006, 4573, 1054, 9689, 8000, 1901, 11449, 1054, 14844, 1198, 28432, 2923, 1118, 3391, 1014, 1342, 2529, 1875, 79, 1992, 1048, 1006, 8311, 12432, 1235, 30899, 1195, 1044, 11633, 1009, 8324, 1049, 13929, 2231, 11965, 150, 18107, 3533, 4975, 1026, 1720, 1049, 1235, 3372, 1159, 21752, 9148, 5968, 1020, 3958, 1106, 1937, 1074, 1054, 3261, 1009, 25287, 1094, 5096, 12606, 2572, 10517, 1024, 1026, 23518, 1049, 1638, 2271, 1044, 1187, 1086, 16397, 1678, 29021, 1093, 1048, 2054, 1040, 1495, 1213, 4489, 25088, 1400, 1005, 5662, 8055, 28484, 1026, 1638, 8, 1005, 10333, 1371, 2411, 1199, 13302, 1118, 1094, 16977, 9303, 22507, 5841, 23451, 24937, 5922, 22785, 1145, 1726, 8434, 1009, 10281, 7262, 1406, 7697, 1079, 1006, 13853, 1009, 13408, 17390, 1305, 4344, 3085, 1229, 1309, 1043, 20450, 21994, 1894, 17227, 4286, 1070, 3382, 3191, 1130, 3382, 20672, 1291, 1005, 12393, 1233, 2596, 15583, 8, 1068, 1044, 15149, 14425, 16927, 8, 1567, 1269, 11328, 1054, 13654, 1114, 13117, 1072, 14241, 1072, 5611, 1259, 1672, 1570, 7518, 1229, 1114, 12482, 9201, 1114, 1633, 24821, 1294, 2138, 2365, 1005, 1114, 13127, 1571, 7687, 1159, 4868, 1009, 4397, 15690, 1005, 7136, 1005, 2042, 15690, 1005, 29518, 1043, 2625, 13468, 3772, 12792, 4502, 1114, 4132, 11084, 1071, 4071, 47, 1349, 1049, 6783, 5469, 46, 49, 1349, 1006, 675, 0, 58, 22739, 31341, 4228, 7638, 16790, 1005, 1054, 7098, 1040, 9715, 33, 29518, 1043, 10900, 1009, 7661, 1009, 4573, 2794, 19767, 1138, 1694, 1062, 9356, 1062, 8131, 6854, 1116, 1625, 1047, 15, 1005, 2754, 13468, 1159, 1026, 3761, 2231, 2664, 166, 23408, 5024, 2011, 1159, 4148, 1005, 18574, 1054, 5283, 1009, 4132, 5631, 7729, 91, 1032, 1209, 1125, 12892, 9099, 25800, 3406, 30, 11913, 8058, 1707, 1183, 4076, 25800, 3406, 8053, 1349, 11972, 2769, 1967, 10703, 3406, 8053, 1349, 1535, 1319, 1784, 1118, 14885, 1007, 24325, 3406, 4332, 15, 1005, 20636, 1322, 11414, 17861, 4817, 29, 10536, 16936, 1664, 3437, 6816, 1357, 3450, 17390, 1187, 11988, 1005, 1357, 3154, 7317, 1009, 2088, 1187, 1456, 19855, 3313, 12670, 5233, 1026, 11273, 1006, 3653, 1009, 3236, 22349, 6511, 84, 1024, 1463, 6283, 10582, 1009, 9899, 2286, 9339, 2845, 1006, 13595, 1322, 1006, 3248, 1049, 1235, 3372, 8548, 1213, 20961, 1009, 1044, 4868, 24782, 1048, 7062, 7552, 6892, 1043, 15783, 1099, 1208, 96, 4862, 9590, 1114, 3808, 3696, 1060, 1224, 8150, 4733, 2539, 1646, 1009, 4538, 2094, 4064, 1233, 9743, 1048, 1235, 3372, 1160, 1195, 23259, 1118, 9511, 23109, 1309, 1118, 1094, 26733, 15213, 1026, 8746, 12127, 1073, 10589, 9087, 1048, 2257, 12330, 2216, 2480, 1478, 1043, 1132, 1681, 5135, 2585, 28754, 15783, 1099, 1208, 96, 4862, 9590, 1009, 1178, 1044, 24782, 24631, 33, 1890, 1026, 7838, 1009, 2946, 3426, 1073, 10589, 1078, 1195, 6738, 4148, 1060, 9394, 23763, 6854, 6754, 1986, 1006, 3781, 1118, 1006, 14590, 1060, 9394, 1134, 1375, 1093, 1043, 2156, 1184, 2286, 11210, 26649, 1357, 26436, 22595, 0, 74, 1677, 1006, 16283, 2242, 1126, 1195, 18801, 1188, 1118, 1044, 15405, 1543, 1727, 85, 1054, 22303, 9764, 7704, 10203, 1044, 1150, 1179, 1563, 24620, 8, 13721, 1068, 2345, 1020, 2642, 1375, 71, 1571, 3661, 1006, 1944, 24048, 1060, 14397, 1614, 1130, 1470, 72, 1145, 3552, 17279, 12889, 1005, 3684, 10680, 1048, 1516, 31107, 1048, 1825, 2049, 1094, 15198, 1009, 22222, 1165, 2843, 1075, 3097, 1048, 1114, 26436, 22595, 2284, 1657, 2848, 18, 1114, 1482, 21839, 1187, 2138, 6547, 1309, 1516, 1493, 24965, 1048, 1006, 15757, 1447, 1242, 89, 4830, 4967, 5320, 1006, 6423, 1068, 4573, 9964, 1006, 1224, 4087, 1213, 22524, 26217, 2306, 25919, 1006, 15198, 1233, 2486, 1112, 27973, 1048, 1006, 24616, 8668, 15783, 1099, 1208, 96, 27382, 168, 5176, 1379, 1006, 14608, 1060, 15198, 1048, 8989, 8112, 1079, 1224, 1834, 1233, 16399, 1049, 2671, 1060, 4573, 1043, 1132, 2138, 2365, 1114, 13321, 1049, 15901, 1054, 5238, 9414, 11166, 30054, 1055, 30680, 30670, 91, 1094, 11061, 21219, 1145, 1009, 4488, 12679, 11295, 1006, 17493, 3577, 25246, 1896, 1054, 3403, 1009, 17451, 11659, 2250, 1986, 1006, 29060, 6595, 1393, 1006, 1581, 1352, 1294, 21154, 1049, 7369, 20, 13382, 6279, 5855, 1005, 3973, 1195, 4798, 1049, 23336, 1049, 24094, 7677, 3390, 1271, 8398, 175, 6852, 1271, 9099, 2286, 7624, 9208, 2593, 1009, 2303, 1043, 21542, 1049, 2868, 1049, 6387, 1205, 6959, 21254, 2971, 1009, 3261, 1009, 3209, 9415, 1005, 18315, 1026, 24488, 6272, 2955, 1587, 1076, 17458, 1034, 3242, 13442, 1054, 1782, 1009, 3149, 1009, 19001, 1054, 4091, 1061, 76, 6605, 85, 1009, 4062, 12797, 1747, 18, 1679, 23761, 2864, 3121, 1006, 1044, 1869, 17419, 26135, 10640, 1656, 1047, 2769, 1009, 8266, 1730, 85, 1054, 13000, 1118, 1163, 5415, 77, 1017, 1020, 3504, 12842, 1038, 2255, 10176, 1054, 1048, 6856, 1026, 1543, 3060, 1060, 6925, 22949, 1615, 1060, 4573, 1463, 1569, 15853, 30956, 2271, 1006, 7962, 78, 3466, 1495, 1026, 3009, 7745, 2098, 1656, 1047, 1138, 6857, 1054, 10434, 1118, 1026, 2868, 1009, 4132, 1535, 1319, 1784, 1118, 14885, 1007, 4355, 1453, 1291, 8387, 0, 6859, 15, 1049, 16264, 30436, 1054, 8029, 1118, 1138, 3439, 1049, 3152, 1071, 1035, 1736, 1197, 15, 2098, 88, 10676, 30436, 1054, 9730, 1118, 1063, 5274, 1049, 28199, 13871, 1071, 1035, 1736, 1197, 15, 2098, 24784, 2769, 1068, 1006, 28917, 1060, 26515, 2645, 1656, 1047, 2769, 1155, 1134, 1104, 1147, 1009, 4062, 1142, 1507, 1154, 15, 1054, 3303, 2098, 1656, 1047, 6318, 21342, 1009, 2228, 1623, 1054, 4265, 1118, 5504, 1396, 1018, 6531, 16188, 7093, 1009, 1160, 10759, 6934, 1114, 3780, 13246, 1271, 14075, 1060, 3248, 1049, 1235, 3372, 2378, 1219, 1303, 4276, 4080, 1006, 1834, 13568, 25349, 15783, 1099, 1208, 96, 27382, 168, 16801, 1048, 1072, 3439, 1060, 1834, 1160, 1096, 3654, 1261, 1044, 28518, 1309, 1048, 5417, 2093, 1819, 1044, 5768, 5615, 1049, 11641, 22414, 1043, 1419, 1167, 1005, 6882, 7917, 7439, 1006, 1702, 2269, 1113, 25180, 12476, 1026, 1680, 1043, 1006, 12635, 2474, 14870, 1517, 1079, 1043, 1026, 9383, 1080, 24100, 1221, 1009, 1160, 10218, 1054, 2637, 2246, 1006, 8928, 1026, 2785, 1731, 1231, 1206, 2246, 1132, 4802, 1333, 1206, 2653, 1026, 8990, 20487, 1309, 1048, 1998, 1058, 1976, 10218, 1072, 1048, 1058, 1419, 12476, 1118, 4384, 3266, 2474, 3020, 4839, 2923, 1159, 1044, 5813, 6567, 1305, 9403, 8, 1005, 3128, 1024, 2923, 2533, 1627, 1028, 5206, 96, 15767, 4906, 2311, 1525, 2038, 1126, 1004, 1129, 1020, 4624, 3426, 1168, 3369, 22334, 2274, 675, 6407, 1291, 1071, 1474, 9231, 1291, 15, 1009, 15259, 19533, 1060, 2411, 1199, 16583, 9303, 5916, 11637, 4693, 28139, 1165, 4289, 1184, 3867, 1009, 4660, 1633, 5558, 1133, 1049, 1048, 1009, 1067, 17948, 1073, 2648, 1005, 17882, 1009, 2220, 1026, 1048, 1015, 5385, 1206, 1225, 7482, 1009, 3118, 6625, 14358, 1005, 14494, 1221, 3577, 3101, 16161, 11499, 1680, 1048, 13780, 1006, 6627, 1009, 8464, 1159, 1026, 1886, 1575, 2086, 7993, 1103, 2673, 1049, 15877, 1005, 2161, 5604, 1026, 9594, 2533, 1027, 9143, 1829, 3723, 1072, 2542, 31953, 1054, 19072, 1043, 1026, 26476, 1876, 15748, 1221, 1005, 28397, 9978, 2406, 17440, 1148, 17598, 1224, 3621, 1322, 1006, 1834, 27118, 1213, 2729, 1187, 1646, 1298, 11970, 1130, 1371, 1463, 4496, 2880, 1898, 3885, 1323, 1966, 3192, 1006, 8172, 9226, 3074, 14208, 1657, 1114, 8172, 7820, 1672, 1026, 1048, 1325, 2453, 1009, 3230, 17227, 2654, 5956, 1048, 1026, 1784, 1325, 1054, 7903, 24299, 1272, 2271, 1026, 3009, 11734, 13619, 1084, 17227, 14665, 4064, 1213, 4249, 1054, 22300, 3537, 2656, 3100, 1536, 1189, 19839, 82, 3382, 1309, 11108, 1263, 4736, 5602, 1048, 1096, 1026, 7462, 20, 1138, 1488, 1974, 1876, 1536, 1189, 19839, 82, 1291, 1096, 1044, 3300, 1097, 8645, 6932, 1717, 2252, 1124, 2706, 1678, 2246, 1124, 14165, 1167, 1054, 1044, 7763, 86, 9575, 1009, 13556, 3821, 76, 23453, 3617, 2656, 3074, 14208, 1054, 5525, 1124, 14970, 1309, 1054, 13878, 5373, 1728, 3126, 1026, 1831, 7786, 1303, 1009, 4110, 1646, 5626, 1048, 1006, 9259, 1323, 6042, 1379, 20, 1138, 2792, 2598, 2080, 1126, 1309, 1264, 1298, 1178, 1184, 3322, 1100, 1184, 9278, 18, 1184, 13980, 1184, 18094, 1005, 1184, 1548, 2974, 20, 5841, 1096, 1006, 2348, 25336, 8385, 4402, 1379, 5099, 1159, 7349, 5514, 1184, 4680, 1365, 1791, 3328, 8, 2378, 2440, 1440, 26389, 1006, 3653, 1060, 1005, 1088, 1056, 19105, 1005, 1026, 21959, 3356, 1188, 3313, 4080, 1132, 16119, 1005, 1006, 7136, 1257, 8361, 15783, 1099, 1208, 96, 27382, 168, 1006, 2751, 10994, 1187, 16119, 1096, 1006, 7363, 2485, 10815, 1048, 3436, 5620, 21343, 6185, 1048, 22371, 21343, 1160, 2900, 2924, 3616, 17222, 3647, 1371, 31324, 1972, 10312, 5522, 1096, 1159, 8268, 2459, 2654, 1927, 17769, 33, 1927, 5692, 5522, 20, 17227, 2013, 1026, 1048, 1323, 8491, 5595, 33, 1096, 1026, 1048, 1503, 5192, 21932, 2858, 6971, 4166, 1592, 1048, 1132, 1456, 4106, 1160, 4444, 2218, 3983, 1257, 75, 4047, 31019, 2598, 17769, 1068, 1178, 1317, 2270, 1542, 3804, 3420, 1043, 1044, 7928, 1009, 6056, 20413, 1616, 1096, 26707, 2013, 5816, 1048, 1058, 5632, 1006, 3374, 20, 2013, 1159, 1973, 29903, 9329, 1207, 3409, 4190, 32, 7233, 150, 1783, 1072, 1784, 1048, 21660, 1094, 2398, 1112, 18648, 5155, 1519, 1009, 20708, 1043, 1124, 2880, 20, 14327, 1783, 1327, 16119, 8, 3313, 1529, 4418, 21135, 1006, 7059, 1009, 22349, 2079, 1258, 21465, 19914, 4755, 3469, 1048, 1160, 1693, 3754, 1371, 29806, 1349, 1309, 1026, 1048, 1225, 1009, 1178, 4823, 1096, 1026, 1048, 1160, 1298, 1178, 11684, 8, 1005, 1006, 1009, 12636, 14042, 150, 26837, 11023, 1577, 1009, 1048, 1054, 7136, 2373, 14356, 1026, 1048, 1160, 1096, 29217, 6652, 1096, 1536, 17016, 2100, 5535, 11328, 1048, 1132, 16119, 1998, 2643, 1026, 3244, 31722, 1009, 2837, 13982, 1048, 1006, 1224, 8161, 1096, 5501, 1054, 5556, 1026, 22250, 3025, 1263, 1043, 1026, 6970, 3025, 28901, 4619, 9202, 2271, 4331, 1026, 1048, 1325, 4109, 1005, 1048, 1068, 1857, 1006, 1224, 4397, 1096, 1006, 1224, 7472, 14769, 1199, 1658, 1224, 15905, 1233, 5655, 21026, 2923, 3121, 1006, 3066, 19812, 1018, 3716, 1009, 1924, 15988, 1263, 1009, 6899, 18782, 1062, 2431, 1722, 3529, 1048, 16791, 1043, 2125, 1646, 1009, 10335, 1026, 1235, 3445, 1118, 5470, 4064, 1006, 2742, 3311, 1048, 1235, 6727, 1007, 5455, 3684, 3765, 1026, 21080, 1009, 1150, 22155, 1192, 1279, 1810, 1048, 13756, 2289, 1294, 4106, 15007, 1235, 1419, 4660, 1633, 5558, 1133, 1096, 1026, 1853, 3066, 9877, 1132, 1048, 1160, 1327, 4106, 10879, 1005, 1048, 1467, 1807, 16748, 1009, 4660, 1633, 5558, 1133, 1096, 1048, 17227, 1160, 1966, 1058, 1124, 3469, 4548, 1206, 1160, 2039, 3982, 1026, 3872, 1048, 1966, 1096, 1159, 4548, 1054, 12356, 1048, 1160, 1966, 1058, 1044, 18790, 1096, 1044, 18790, 1206, 1044, 8926, 4289, 1026, 1048, 1966, 1096, 1048, 1068, 4660, 1633, 5558, 1133, 1989, 18790, 1096, 1044, 15483, 1005, 1068, 1067, 17948, 1073, 2648, 1989, 18790, 1096, 1044, 3073, 5489, 1005, 5300, 10621, 1009, 2303, 1043, 7881, 6386, 4552, 5624, 1145, 1048, 1096, 3486, 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 ]

[ 1944, 1472, 1068, 1419, 1026, 2403, 1138, 30643, 1221, 1009, 1138, 5121, 1048, 3684, 2521, 14453, 1014, 1006, 5297, 1026, 3073, 9512, 1159, 1094, 8442, 1009, 1064, 2424, 12353, 17825, 1554, 675, 0, 5481, 2109, 1044, 12168, 1049, 2346, 1259, 1047, 2844, 1073, 6217, 1009, 10213, 20, 3072, 6489, 1006, 1224, 5266, 24554, 1054, 3237, 2404, 3394, 7537, 1967, 6955, 15, 1005, 1142, 28040, 19359, 1273, 2127, 1149, 1054, 10212, 24870, 4681, 1005, 1026, 8167, 1009, 18511, 1054, 14911, 1114, 2828, 1009, 10213, 12432, 1224, 9850, 1005, 6570, 4195, 1657, 18853, 1322, 1006, 3248, 1049, 1235, 3372, 1048, 5140, 1890, 1006, 3781, 6451, 1005, 1927, 11092, 7709, 1048, 2284, 2281, 23259, 2309, 10498, 19201, 9340, 4682, 1511, 7717, 1456, 5364, 30995, 5543, 1072, 6387, 26896, 8218, 1188, 1118, 6916, 1067, 2911, 88, 5708, 18, 1305, 1178, 2229, 3382, 1068, 17302, 73, 10577, 15079, 21556, 18788, 14142, 30556, 1118, 6098, 1294, 16131, 1114, 4317, 2485, 1044, 25195, 1304, 1009, 6935, 9923, 6256, 1345, 15493, 1278, 1048, 1026, 1235, 3372, 2284, 1025, 18325, 1463, 6000, 1187, 3267, 1573, 1681, 5135, 1166, 1717, 1006, 16727, 1026, 1048, 1195, 1044, 17134, 1068, 1264, 17409, 1646, 25579, 8987, 1379, 1184, 1009, 10757, 7268, 1187, 17495, 1049, 1765, 5664, 1017, 1009, 6935, 2613, 1122, 1829, 1005, 1195, 1023, 27089, 1348, 1060, 5623, 1315, 4405, 1387, 20182, 1945, 84, 23828, 6456, 2286, 10321, 5444, 1026, 7093, 2231, 1136, 7169, 1026, 1235, 1831, 11725, 1054, 10757, 1005, 2125, 7872, 1043, 1026, 20520, 1009, 10889, 1094, 14650, 1026, 4713, 1184, 1026, 3066, 1195, 6342, 1054, 11865, 14049, 1167, 7552, 1054, 31432, 17838, 1005, 18653, 1357, 1224, 6216, 1005, 2939, 23917, 1482, 14603, 14142, 1054, 6862, 16124, 4598, 6303, 1848, 1068, 1026, 30899, 675, 1068, 12212, 1005, 12161, 1006, 4573, 1054, 9689, 8000, 1901, 11449, 1054, 14844, 1198, 28432, 2923, 1118, 3391, 1014, 1342, 2529, 1875, 79, 1992, 1048, 1006, 8311, 12432, 1235, 30899, 1195, 1044, 11633, 1009, 8324, 1049, 13929, 2231, 11965, 150, 18107, 3533, 4975, 1026, 1720, 1049, 1235, 3372, 1159, 21752, 9148, 5968, 1020, 3958, 1106, 1937, 1074, 1054, 3261, 1009, 25287, 1094, 5096, 12606, 2572, 10517, 1024, 1026, 23518, 1049, 1638, 2271, 1044, 1187, 1086, 16397, 1678, 29021, 1093, 1048, 2054, 1040, 1495, 1213, 4489, 25088, 1400, 1005, 5662, 8055, 28484, 1026, 1638, 8, 1005, 10333, 1371, 2411, 1199, 13302, 1118, 1094, 16977, 9303, 22507, 5841, 23451, 24937, 5922, 22785, 1145, 1726, 8434, 1009, 10281, 7262, 1406, 7697, 1079, 1006, 13853, 1009, 13408, 17390, 1305, 4344, 3085, 1229, 1309, 1043, 20450, 21994, 1894, 17227, 4286, 1070, 3382, 3191, 1130, 3382, 20672, 1291, 1005, 12393, 1233, 2596, 15583, 8, 1068, 1044, 15149, 14425, 16927, 8, 1567, 1269, 11328, 1054, 13654, 1114, 13117, 1072, 14241, 1072, 5611, 1259, 1672, 1570, 7518, 1229, 1114, 12482, 9201, 1114, 1633, 24821, 1294, 2138, 2365, 1005, 1114, 13127, 1571, 7687, 1159, 4868, 1009, 4397, 15690, 1005, 7136, 1005, 2042, 15690, 1005, 29518, 1043, 2625, 13468, 3772, 12792, 4502, 1114, 4132, 11084, 1071, 4071, 47, 1349, 1049, 6783, 5469, 46, 49, 1349, 1006, 675, 0, 58, 22739, 31341, 4228, 7638, 16790, 1005, 1054, 7098, 1040, 9715, 33, 29518, 1043, 10900, 1009, 7661, 1009, 4573, 2794, 19767, 1138, 1694, 1062, 9356, 1062, 8131, 6854, 1116, 1625, 1047, 15, 1005, 2754, 13468, 1159, 1026, 3761, 2231, 2664, 166, 23408, 5024, 2011, 1159, 4148, 1005, 18574, 1054, 5283, 1009, 4132, 5631, 7729, 91, 1032, 1209, 1125, 12892, 9099, 25800, 3406, 30, 11913, 8058, 1707, 1183, 4076, 25800, 3406, 8053, 1349, 11972, 2769, 1967, 10703, 3406, 8053, 1349, 1535, 1319, 1784, 1118, 14885, 1007, 24325, 3406, 4332, 15, 1005, 20636, 1322, 11414, 17861, 4817, 29, 10536, 16936, 1664, 3437, 6816, 1357, 3450, 17390, 1187, 11988, 1005, 1357, 3154, 7317, 1009, 2088, 1187, 1456, 19855, 3313, 12670, 5233, 1026, 11273, 1006, 3653, 1009, 3236, 22349, 6511, 84, 1024, 1463, 6283, 10582, 1009, 9899, 2286, 9339, 2845, 1006, 13595, 1322, 1006, 3248, 1049, 1235, 3372, 8548, 1213, 20961, 1009, 1044, 4868, 24782, 1048, 7062, 7552, 6892, 1043, 15783, 1099, 1208, 96, 4862, 9590, 1114, 3808, 3696, 1060, 1224, 8150, 4733, 2539, 1646, 1009, 4538, 2094, 4064, 1233, 9743, 1048, 1235, 3372, 1160, 1195, 23259, 1118, 9511, 23109, 1309, 1118, 1094, 26733, 15213, 1026, 8746, 12127, 1073, 10589, 9087, 1048, 2257, 12330, 2216, 2480, 1478, 1043, 1132, 1681, 5135, 2585, 28754, 15783, 1099, 1208, 96, 4862, 9590, 1009, 1178, 1044, 24782, 24631, 33, 1890, 1026, 7838, 1009, 2946, 3426, 1073, 10589, 1078, 1195, 6738, 4148, 1060, 9394, 23763, 6854, 6754, 1986, 1006, 3781, 1118, 1006, 14590, 1060, 9394, 1134, 1375, 1093, 1043, 2156, 1184, 2286, 11210, 26649, 1357, 26436, 22595, 0, 74, 1677, 1006, 16283, 2242, 1126, 1195, 18801, 1188, 1118, 1044, 15405, 1543, 1727, 85, 1054, 22303, 9764, 7704, 10203, 1044, 1150, 1179, 1563, 24620, 8, 13721, 1068, 2345, 1020, 2642, 1375, 71, 1571, 3661, 1006, 1944, 24048, 1060, 14397, 1614, 1130, 1470, 72, 1145, 3552, 17279, 12889, 1005, 3684, 10680, 1048, 1516, 31107, 1048, 1825, 2049, 1094, 15198, 1009, 22222, 1165, 2843, 1075, 3097, 1048, 1114, 26436, 22595, 2284, 1657, 2848, 18, 1114, 1482, 21839, 1187, 2138, 6547, 1309, 1516, 1493, 24965, 1048, 1006, 15757, 1447, 1242, 89, 4830, 4967, 5320, 1006, 6423, 1068, 4573, 9964, 1006, 1224, 4087, 1213, 22524, 26217, 2306, 25919, 1006, 15198, 1233, 2486, 1112, 27973, 1048, 1006, 24616, 8668, 15783, 1099, 1208, 96, 27382, 168, 5176, 1379, 1006, 14608, 1060, 15198, 1048, 8989, 8112, 1079, 1224, 1834, 1233, 16399, 1049, 2671, 1060, 4573, 1043, 1132, 2138, 2365, 1114, 13321, 1049, 15901, 1054, 5238, 9414, 11166, 30054, 1055, 30680, 30670, 91, 1094, 11061, 21219, 1145, 1009, 4488, 12679, 11295, 1006, 17493, 3577, 25246, 1896, 1054, 3403, 1009, 17451, 11659, 2250, 1986, 1006, 29060, 6595, 1393, 1006, 1581, 1352, 1294, 21154, 1049, 7369, 20, 13382, 6279, 5855, 1005, 3973, 1195, 4798, 1049, 23336, 1049, 24094, 7677, 3390, 1271, 8398, 175, 6852, 1271, 9099, 2286, 7624, 9208, 2593, 1009, 2303, 1043, 21542, 1049, 2868, 1049, 6387, 1205, 6959, 21254, 2971, 1009, 3261, 1009, 3209, 9415, 1005, 18315, 1026, 24488, 6272, 2955, 1587, 1076, 17458, 1034, 3242, 13442, 1054, 1782, 1009, 3149, 1009, 19001, 1054, 4091, 1061, 76, 6605, 85, 1009, 4062, 12797, 1747, 18, 1679, 23761, 2864, 3121, 1006, 1044, 1869, 17419, 26135, 10640, 1656, 1047, 2769, 1009, 8266, 1730, 85, 1054, 13000, 1118, 1163, 5415, 77, 1017, 1020, 3504, 12842, 1038, 2255, 10176, 1054, 1048, 6856, 1026, 1543, 3060, 1060, 6925, 22949, 1615, 1060, 4573, 1463, 1569, 15853, 30956, 2271, 1006, 7962, 78, 3466, 1495, 1026, 3009, 7745, 2098, 1656, 1047, 1138, 6857, 1054, 10434, 1118, 1026, 2868, 1009, 4132, 1535, 1319, 1784, 1118, 14885, 1007, 4355, 1453, 1291, 8387, 0, 6859, 15, 1049, 16264, 30436, 1054, 8029, 1118, 1138, 3439, 1049, 3152, 1071, 1035, 1736, 1197, 15, 2098, 88, 10676, 30436, 1054, 9730, 1118, 1063, 5274, 1049, 28199, 13871, 1071, 1035, 1736, 1197, 15, 2098, 24784, 2769, 1068, 1006, 28917, 1060, 26515, 2645, 1656, 1047, 2769, 1155, 1134, 1104, 1147, 1009, 4062, 1142, 1507, 1154, 15, 1054, 3303, 2098, 1656, 1047, 6318, 21342, 1009, 2228, 1623, 1054, 4265, 1118, 5504, 1396, 1018, 6531, 16188, 7093, 1009, 1160, 10759, 6934, 1114, 3780, 13246, 1271, 14075, 1060, 3248, 1049, 1235, 3372, 2378, 1219, 1303, 4276, 4080, 1006, 1834, 13568, 25349, 15783, 1099, 1208, 96, 27382, 168, 16801, 1048, 1072, 3439, 1060, 1834, 1160, 1096, 3654, 1261, 1044, 28518, 1309, 1048, 5417, 2093, 1819, 1044, 5768, 5615, 1049, 11641, 22414, 1043, 1419, 1167, 1005, 6882, 7917, 7439, 1006, 1702, 2269, 1113, 25180, 12476, 1026, 1680, 1043, 1006, 12635, 2474, 14870, 1517, 1079, 1043, 1026, 9383, 1080, 24100, 1221, 1009, 1160, 10218, 1054, 2637, 2246, 1006, 8928, 1026, 2785, 1731, 1231, 1206, 2246, 1132, 4802, 1333, 1206, 2653, 1026, 8990, 20487, 1309, 1048, 1998, 1058, 1976, 10218, 1072, 1048, 1058, 1419, 12476, 1118, 4384, 3266, 2474, 3020, 4839, 2923, 1159, 1044, 5813, 6567, 1305, 9403, 8, 1005, 3128, 1024, 2923, 2533, 1627, 1028, 5206, 96, 15767, 4906, 2311, 1525, 2038, 1126, 1004, 1129, 1020, 4624, 3426, 1168, 3369, 22334, 2274, 675, 6407, 1291, 1071, 1474, 9231, 1291, 15, 1009, 15259, 19533, 1060, 2411, 1199, 16583, 9303, 5916, 11637, 4693, 28139, 1165, 4289, 1184, 3867, 1009, 4660, 1633, 5558, 1133, 1049, 1048, 1009, 1067, 17948, 1073, 2648, 1005, 17882, 1009, 2220, 1026, 1048, 1015, 5385, 1206, 1225, 7482, 1009, 3118, 6625, 14358, 1005, 14494, 1221, 3577, 3101, 16161, 11499, 1680, 1048, 13780, 1006, 6627, 1009, 8464, 1159, 1026, 1886, 1575, 2086, 7993, 1103, 2673, 1049, 15877, 1005, 2161, 5604, 1026, 9594, 2533, 1027, 9143, 1829, 3723, 1072, 2542, 31953, 1054, 19072, 1043, 1026, 26476, 1876, 15748, 1221, 1005, 28397, 9978, 2406, 17440, 1148, 17598, 1224, 3621, 1322, 1006, 1834, 27118, 1213, 2729, 1187, 1646, 1298, 11970, 1130, 1371, 1463, 4496, 2880, 1898, 3885, 1323, 1966, 3192, 1006, 8172, 9226, 3074, 14208, 1657, 1114, 8172, 7820, 1672, 1026, 1048, 1325, 2453, 1009, 3230, 17227, 2654, 5956, 1048, 1026, 1784, 1325, 1054, 7903, 24299, 1272, 2271, 1026, 3009, 11734, 13619, 1084, 17227, 14665, 4064, 1213, 4249, 1054, 22300, 3537, 2656, 3100, 1536, 1189, 19839, 82, 3382, 1309, 11108, 1263, 4736, 5602, 1048, 1096, 1026, 7462, 20, 1138, 1488, 1974, 1876, 1536, 1189, 19839, 82, 1291, 1096, 1044, 3300, 1097, 8645, 6932, 1717, 2252, 1124, 2706, 1678, 2246, 1124, 14165, 1167, 1054, 1044, 7763, 86, 9575, 1009, 13556, 3821, 76, 23453, 3617, 2656, 3074, 14208, 1054, 5525, 1124, 14970, 1309, 1054, 13878, 5373, 1728, 3126, 1026, 1831, 7786, 1303, 1009, 4110, 1646, 5626, 1048, 1006, 9259, 1323, 6042, 1379, 20, 1138, 2792, 2598, 2080, 1126, 1309, 1264, 1298, 1178, 1184, 3322, 1100, 1184, 9278, 18, 1184, 13980, 1184, 18094, 1005, 1184, 1548, 2974, 20, 5841, 1096, 1006, 2348, 25336, 8385, 4402, 1379, 5099, 1159, 7349, 5514, 1184, 4680, 1365, 1791, 3328, 8, 2378, 2440, 1440, 26389, 1006, 3653, 1060, 1005, 1088, 1056, 19105, 1005, 1026, 21959, 3356, 1188, 3313, 4080, 1132, 16119, 1005, 1006, 7136, 1257, 8361, 15783, 1099, 1208, 96, 27382, 168, 1006, 2751, 10994, 1187, 16119, 1096, 1006, 7363, 2485, 10815, 1048, 3436, 5620, 21343, 6185, 1048, 22371, 21343, 1160, 2900, 2924, 3616, 17222, 3647, 1371, 31324, 1972, 10312, 5522, 1096, 1159, 8268, 2459, 2654, 1927, 17769, 33, 1927, 5692, 5522, 20, 17227, 2013, 1026, 1048, 1323, 8491, 5595, 33, 1096, 1026, 1048, 1503, 5192, 21932, 2858, 6971, 4166, 1592, 1048, 1132, 1456, 4106, 1160, 4444, 2218, 3983, 1257, 75, 4047, 31019, 2598, 17769, 1068, 1178, 1317, 2270, 1542, 3804, 3420, 1043, 1044, 7928, 1009, 6056, 20413, 1616, 1096, 26707, 2013, 5816, 1048, 1058, 5632, 1006, 3374, 20, 2013, 1159, 1973, 29903, 9329, 1207, 3409, 4190, 32, 7233, 150, 1783, 1072, 1784, 1048, 21660, 1094, 2398, 1112, 18648, 5155, 1519, 1009, 20708, 1043, 1124, 2880, 20, 14327, 1783, 1327, 16119, 8, 3313, 1529, 4418, 21135, 1006, 7059, 1009, 22349, 2079, 1258, 21465, 19914, 4755, 3469, 1048, 1160, 1693, 3754, 1371, 29806, 1349, 1309, 1026, 1048, 1225, 1009, 1178, 4823, 1096, 1026, 1048, 1160, 1298, 1178, 11684, 8, 1005, 1006, 1009, 12636, 14042, 150, 26837, 11023, 1577, 1009, 1048, 1054, 7136, 2373, 14356, 1026, 1048, 1160, 1096, 29217, 6652, 1096, 1536, 17016, 2100, 5535, 11328, 1048, 1132, 16119, 1998, 2643, 1026, 3244, 31722, 1009, 2837, 13982, 1048, 1006, 1224, 8161, 1096, 5501, 1054, 5556, 1026, 22250, 3025, 1263, 1043, 1026, 6970, 3025, 28901, 4619, 9202, 2271, 4331, 1026, 1048, 1325, 4109, 1005, 1048, 1068, 1857, 1006, 1224, 4397, 1096, 1006, 1224, 7472, 14769, 1199, 1658, 1224, 15905, 1233, 5655, 21026, 2923, 3121, 1006, 3066, 19812, 1018, 3716, 1009, 1924, 15988, 1263, 1009, 6899, 18782, 1062, 2431, 1722, 3529, 1048, 16791, 1043, 2125, 1646, 1009, 10335, 1026, 1235, 3445, 1118, 5470, 4064, 1006, 2742, 3311, 1048, 1235, 6727, 1007, 5455, 3684, 3765, 1026, 21080, 1009, 1150, 22155, 1192, 1279, 1810, 1048, 13756, 2289, 1294, 4106, 15007, 1235, 1419, 4660, 1633, 5558, 1133, 1096, 1026, 1853, 3066, 9877, 1132, 1048, 1160, 1327, 4106, 10879, 1005, 1048, 1467, 1807, 16748, 1009, 4660, 1633, 5558, 1133, 1096, 1048, 17227, 1160, 1966, 1058, 1124, 3469, 4548, 1206, 1160, 2039, 3982, 1026, 3872, 1048, 1966, 1096, 1159, 4548, 1054, 12356, 1048, 1160, 1966, 1058, 1044, 18790, 1096, 1044, 18790, 1206, 1044, 8926, 4289, 1026, 1048, 1966, 1096, 1048, 1068, 4660, 1633, 5558, 1133, 1989, 18790, 1096, 1044, 15483, 1005, 1068, 1067, 17948, 1073, 2648, 1989, 18790, 1096, 1044, 3073, 5489, 1005, 5300, 10621, 1009, 2303, 1043, 7881, 6386, 4552, 5624, 1145, 1048, 1096, 3486, 1005 ]

[ 21391, 2925, 1126, 1060, 21583, 3849, 1126, 1006, 1111, 6464, 33, 1005, 1318, 1043, 1124, 9814, 7122, 7284, 1060, 10877, 1060, 17273, 1060, 3394, 24821, 1060, 30411, 1009, 8258, 1049, 3878, 1005, 1060, 4590, 3110, 1061, 3390, 11734, 1096, 1026, 1831, 24930, 1368, 2526, 1060, 9056, 8039, 1049, 4037, 5546, 1006, 1058, 4531, 1044, 29398, 17235, 1526, 1009, 1094, 2573, 2733, 15004, 158, 1411, 1094, 1472, 1048, 1132, 1734, 13754, 6929, 9227, 1327, 19542, 1060, 9056, 8039, 1005, 1456, 1746, 1021, 28765, 1159, 10653, 3801, 1049, 4037, 14056, 4206, 22031, 1205, 1060, 18078, 1005, 4243, 14384, 15371, 1060, 27979, 1365, 9918, 15413, 1096, 23221, 1009, 8039, 3360, 1118, 2290, 3759, 7151, 2950, 1795, 7151, 33, 1026, 1235, 10109, 1026, 3381, 4243, 1060, 13127, 1096, 20160, 84, 2526, 1060, 14555, 23287, 1049, 4037, 5546, 17607, 1107, 15833, 1814, 1009, 8039, 1349, 1005, 1006, 1224, 12902, 1006, 9056, 23051, 1060, 30411, 2985, 1671, 1060, 13127, 1096, 20160, 1692, 1076, 1060, 14555, 27704, 22103, 6158, 1049, 4037, 5546, 5436, 1944, 5380, 1060, 9056, 8039, 15, 3313, 1193, 11857, 1795, 5201, 1049, 4026, 16001, 3801, 1060, 30411, 15413, 9515, 15898, 1066, 7768, 1043, 1124, 6428, 2733, 7512, 1005, 18035, 5092, 32, 1224, 25252, 6165, 1032, 1179, 23801, 1006, 9056, 21074, 1076, 10768, 1342, 1060, 13127, 1516, 7391, 1049, 4026, 3381, 11734, 1009, 3032, 1005, 4809, 1049, 10332, 4763, 1156, 1049, 1561, 33, 1566, 1224, 25252, 5594, 1020, 1179, 12759, 1006, 14555, 3512, 10818, 1271, 19005, 18902, 1690, 4065, 1096, 1006, 23223, 1049, 3633, 1244, 5134, 1091, 1213, 25804, 15217, 12131, 4660, 15934, 9860, 1009, 16048, 158, 3297, 1005, 25899, 10583, 16103, 3705, 1235, 15334, 11305, 11694, 10188, 7962, 1018, 1399, 1930, 5673, 5464, 27820, 1005, 15361, 17577, 1458, 1431, 3151, 2689, 3216, 1091, 1072, 12333, 3584, 3512, 1187, 5143, 1102, 1009, 26297, 7153, 1072, 2481, 1178, 3181, 1069, 1060, 2921, 2596, 1048, 1026, 8330, 1187, 1456, 4141, 5425, 1305, 4305, 1044, 4618, 2127, 1356, 1235, 5333, 20, 1482, 10213, 3661, 18270, 1009, 4431, 1005, 5976, 1658, 1487, 1009, 3042, 1009, 21114, 1986, 27175, 1132, 1456, 5364, 9190, 1480, 1054, 13127, 1455, 1017, 1266, 2923, 1213, 16879, 6103, 14231, 11529, 1009, 6642, 1500, 1100, 1072, 16704, 1571, 9009, 1026, 12227, 1213, 11670, 1009, 13625, 1112, 2342, 8194, 2663, 22268, 1349, 1094, 3513, 1048, 1318, 3684, 11561, 5275, 1026, 7276, 1049, 31506, 1482, 6642, 1500, 1100, 15413, 1009, 17821, 6376, 9048, 1044, 24094, 2127, 2309, 1456, 2392, 1554, 1063, 1799, 1009, 3370, 1009, 12041, 29979, 7881, 4581, 1005, 4312, 1006, 4573, 7432, 2276, 1663, 4581, 19232, 10064, 1054, 9033, 4855, 1006, 1224, 4581, 5761, 17795, 32, 6782, 1114, 2828, 5998, 19865, 1009, 10213, 4817, 5463, 1005, 1094, 23379, 4817, 6877, 1054, 14671, 27612, 1114, 17167, 6109, 4479, 11529, 1409, 6367, 1560, 17069, 1060, 2828, 1009, 3477, 1017, 2640, 6319, 18, 1054, 7000, 4808, 1062, 5339, 1094, 5266, 24554, 1054, 6782, 1005, 1094, 23379, 1054, 14671, 27612, 18, 15413, 11734, 1096, 1026, 4026, 1009, 4573, 1043, 1712, 4581, 5761, 1191, 1961, 3027, 2281, 1026, 1831, 1114, 2618, 1009, 20645, 1213, 8487, 2095, 1009, 4573, 3110, 1061, 3390, 11734, 1096, 1588, 1122, 1362, 2528, 2340, 5879, 1043, 4007, 6818, 18, 2271, 1006, 1224, 27626, 2848, 11547, 32, 26217, 15088, 5976, 1005, 13692, 1027, 7381, 5051, 1537, 14326, 1375, 1418, 1006, 1224, 11597, 5051, 6835, 3830, 1114, 7299, 5464, 6990, 1009, 8946, 1385, 2731, 1114, 5411, 23041, 6990, 1009, 1570, 1626, 1005, 1114, 7299, 5464, 1049, 1594, 1009, 4833, 1180, 12504, 2652, 7766, 1233, 1224, 17081, 1112, 1159, 22017, 19378, 1032, 1393, 1124, 3759, 1452, 1009, 21125, 3577, 1017, 6252, 1049, 7940, 5464, 1271, 1594, 3036, 1049, 7783, 1009, 5033, 1009, 5296, 10139, 1411, 12114, 1009, 7288, 1889, 1049, 7940, 5464, 1060, 6729, 1140, 1005, 21125, 3577, 1017, 6252, 1049, 7940, 5464, 1049, 7783, 1049, 1594, 20, 14351, 1578, 1646, 1009, 10335, 1054, 20796, 9009, 1006, 1224, 11597, 1159, 9515, 21450, 1328, 1072, 7618, 17801, 4170, 12127, 11167, 79, 10368, 2231, 73, 1577, 1658, 2323, 1009, 1204, 1009, 3370, 1009, 7127, 1213, 1178, 17081, 1069, 22017, 18584, 91, 1371, 1054, 12114, 6179, 21497, 1271, 15607, 23383, 16544, 12011, 5, 621, 4878, 4791, 1009, 16705, 6729, 1140, 1005, 7783, 1049, 1594, 621, 8168, 5383, 7177, 22017, 1009, 3646, 10254, 1025, 1009, 15207, 22619, 13143, 1010, 1159, 1026, 1015, 1022, 2690, 1005, 1026, 28173, 20, 1776, 1048, 3631, 1497, 1213, 30893, 1009, 4625, 1126, 1054, 10285, 1005, 8029, 1006, 1224, 29312, 2793, 1054, 1831, 1072, 7248, 1009, 4573, 1114, 3161, 4153, 4566, 1005, 4857, 1318, 1006, 12541, 1009, 27497, 1482, 8029, 2793, 1054, 12035, 1072, 7248, 1049, 1784, 1009, 4625, 1377, 2034, 1569, 23621, 1072, 3848, 3747, 29544, 6256, 1178, 13294, 1006, 3734, 1009, 2992, 1009, 9730, 1068, 6098, 1294, 3945, 5175, 20, 1063, 1984, 1009, 3261, 1009, 16456, 1006, 1224, 29312, 10652, 1006, 4744, 1114, 12541, 1009, 4573, 1009, 25882, 1009, 9694, 11822, 3589, 8990, 2940, 1992, 1006, 1224, 6228, 1068, 1124, 2022, 7467, 162, 5010, 4083, 3945, 5175, 1009, 14063, 1054, 9730, 1195, 1026, 1345, 1330, 1239, 1136, 1060, 24047, 25502, 15690, 1005, 6580, 1294, 24238, 25354, 1079, 1114, 5261, 3621, 1114, 3161, 1638, 1253, 1009, 4625, 1126, 1356, 1048, 3661, 1044, 19819, 21547, 3242, 1065, 13633, 1005, 24909, 14526, 25044, 4255, 4395, 1083, 1009, 3113, 1009, 5238, 6139, 1026, 1235, 9797, 1795, 1610, 17469, 1043, 1006, 8746, 5389, 1189, 2860, 7494, 2942, 27724, 1127, 8729, 1016, 1078, 1577, 3868, 9809, 3367, 1080, 9809, 5323, 24577, 1006, 3295, 1009, 2436, 1009, 4864, 1114, 17162, 1060, 11695, 1302, 1937, 1009, 10213, 20, 4116, 1198, 82, 2890, 3356, 2644, 23659, 1009, 2956, 1009, 4320, 5314, 1049, 5108, 1992, 1159, 5138, 8317, 1009, 4573, 1005, 1049, 20034, 33, 1365, 1132, 3356, 1452, 1501, 1753, 7651, 1132, 19125, 1009, 13582, 23923, 13071, 1005, 17760, 33, 1026, 11399, 4243, 1009, 4523, 1400, 1006, 9056, 1776, 1017, 1060, 12482, 9201, 1006, 14555, 11440, 1049, 1082, 168, 1925, 3426, 1026, 8187, 1009, 17068, 2861, 2137, 1188, 11375, 1100, 1026, 26235, 2994, 4763, 5059, 5052, 1026, 14698, 1060, 6442, 1049, 2709, 14427, 13370, 1623, 1005, 1026, 24094, 19420, 1060, 7136, 14984, 20968, 1142, 82, 2669, 3110, 4851, 1257, 8485, 1017, 1009, 7027, 1132, 11815, 22703, 1006, 4984, 1009, 3268, 1009, 4483, 5, 23051, 1009, 7027, 1132, 11815, 22703, 1006, 3939, 1009, 3149, 1009, 4187, 26490, 3390, 1096, 3166, 1810, 1009, 2920, 3723, 22246, 1026, 11399, 8531, 1120, 1699, 4627, 1333, 1060, 13221, 1005, 17760, 33, 1026, 11399, 24833, 11377, 1009, 6757, 169, 1446, 33, 15413, 1163, 6294, 1279, 3840, 1619, 85, 1005, 12237, 18, 1026, 3419, 1049, 1235, 21897, 5045, 90, 1470, 84, 8399, 1224, 1472, 3419, 1060, 1869, 3912, 1073, 6217, 3929, 8094, 1228, 14484, 1056, 1645, 1021, 1005, 17821, 72, 3529, 3419, 1060, 1224, 7668, 1006, 1869, 3912, 16859, 33, 1006, 14555, 4211, 4216, 5799, 1007, 1060, 18078, 33, 1026, 11399, 14395, 1060, 17760, 33, 10653, 1009, 21964, 15354, 5380, 1049, 11399, 4243, 15413, 1009, 21964, 5305, 1005, 1006, 14555, 23051, 1060, 20634, 5954, 5380, 1049, 11399, 1344, 3744, 1120, 1021, 3840, 1476, 1051, 1060, 27782, 3772, 1389, 9680, 5669, 1170, 1005, 17081, 1112, 29092, 10990, 1243, 1060, 25913, 2271, 1006, 17081, 1112, 1009, 1235, 3372, 1159, 22017, 2271, 3295, 1009, 3113, 1009, 13912, 1495, 7127, 15413, 3661, 1054, 1083, 1009, 3113, 1009, 14157, 1026, 3479, 1009, 11399, 1271, 8398, 17346, 1273, 3994, 1043, 1132, 7268, 1009, 11399, 1009, 21998, 1925, 1005, 11399, 1009, 22126, 33, 19945, 1679, 9630, 1689, 1187, 29280, 1009, 4091, 7149, 29968, 1005, 9941, 1024, 2339, 7329, 11221, 14070, 1072, 675, 1006, 28252, 7036, 1377, 1138, 1042, 1032, 7913, 1992, 25129, 1132, 7268, 1009, 17824, 1009, 4143, 1245, 1662, 18, 11238, 1009, 1062, 1512, 1153, 1005, 8796, 1009, 1106, 3691, 22647, 1658, 2595, 1009, 2992, 1009, 20100, 1679, 31744, 2864, 1151, 6618, 13416, 1124, 1062, 13818, 8763, 27816, 1233, 17314, 1005, 1213, 22017, 18579, 1006, 16142, 4641, 1049, 1235, 3129, 22272, 1159, 18895, 1060, 25913, 2286, 1101, 1009, 3370, 1009, 7127, 1026, 4026, 3381, 4243, 20086, 1006, 1224, 6866, 1009, 1345, 2412, 3803, 4733, 1006, 9738, 1009, 1094, 3940, 28121, 2742, 1159, 16280, 1026, 2859, 1487, 3162, 27, 1049, 3407, 13751, 26217, 30028, 1054, 2475, 1009, 3370, 1009, 7127, 1124, 1062, 13818, 8763, 4254, 1412, 1006, 1345, 2412, 1112, 1009, 1235, 10109, 1043, 3939, 31, 7533, 1006, 7855, 1204, 1717, 1005, 3404, 12415, 8806, 20, 3126, 17081, 1069, 6954, 1089, 1009, 4573, 8, 2691, 1062, 13818, 8763, 1054, 1204, 1009, 3370, 1009, 4152, 1658, 3554, 1436, 1054, 4573, 1005, 1072, 20034, 1537, 22082, 1006, 9743, 1187, 1456, 5364, 5761, 1191, 1391, 1294, 2138, 6547, 4660, 7712, 19536, 1213, 2729, 1009, 1752, 4183, 15432, 1132, 21823, 31671, 25035, 1060, 1224, 6758, 1009, 4913, 74, 1243, 1060, 17713, 1126, 1465, 2262, 24349, 1251, 2184, 7878, 1054, 4573, 1005, 14930, 1294, 16250, 1184, 12082, 1187, 2625, 2872, 3052, 1005, 8618, 1478, 1060, 1834, 4345, 15690, 1658, 2323, 1009, 3268, 1009, 15440, 7717, 1094, 2700, 1009, 14991, 7878, 1726, 8879, 1584, 2681, 4163, 1043, 1026, 2822, 1009, 29529, 1072, 4318, 1009, 4573, 1005, 10830, 1006, 19701, 1679, 13695, 24233, 3021, 1120, 1191, 26560, 1278, 16847, 1005, 12100, 1043, 1132, 9134, 30778, 1005, 1043, 1124, 3145, 6535, 1049, 2956, 1043, 1026, 20520, 1009, 2593, 1213, 10419, 1271, 1569, 15777, 20489, 6751, 8536, 1006, 12100, 1043, 24875, 19933, 1060, 2951, 74, 2347, 1582, 1049, 2956, 1005, 1271, 6930, 1436, 5998, 2681, 4163, 8, 1511, 1992, 1026, 28543, 1124, 25224, 31671, 1048, 1959, 6413, 3360, 7441, 1159, 6842, 13737, 24447, 1054, 28879, 8317, 1005, 3122, 3273, 1044, 1807, 2285, 1009, 1783, 1043, 1006, 13496, 1009, 2593, 19116, 1060, 6386, 3267, 1005, 24962, 8785, 2745, 8491, 16847, 1043, 1783, 10947, 1060, 1224, 6697, 1005, 1048, 19681, 1250, 27728, 1294, 8618, 1478, 20011, 12165, 2274, 6932, 1005, 1187, 8326, 1009, 5556, 6592, 1160, 3356, 75, 1026, 22017, 1465, 2262, 17354, 1726, 1365, 4369, 1009, 11368, 1139, 1932, 1679, 7878, 1005, 1681, 1684, 4403, 1271, 5298, 4527, 5010, 4685, 14930, 1054, 10724, 7114, 1187, 2125, 30236, 1478, 3942, 1048, 1058, 4768, 1726, 1569, 25224, 1072, 5989, 3478, 9009, 28668, 8203, 7878, 1006, 3825, 15445, 1005, 3252, 9628, 1992, 1159, 1679, 1049, 1784, 27565, 1324, 8609, 8844, 13171, 1005, 10493, 21666, 27781, 1044, 2127, 4961, 1118, 1664, 1132, 10022, 8042, 1043, 1006, 4630, 5559, 1411, 12914, 6219, 3017, 3826, 1009, 6442, 1005, 8441, 1471, 3840, 83, 10960, 6889, 2992, 1009, 14835, 1026, 11399, 1271, 8398, 175, 6852, 9038, 1006, 10068, 1049, 2956, 1463, 16319, 1009, 8894, 1187, 23653, 13781, 1471, 19846, 1658, 19184, 25129, 3904, 17814, 1044, 3129, 1493, 1251, 9064, 1114, 9050, 1187, 9200, 12165, 1391, 1005, 7958, 1009, 4573, 1005, 1072, 13971, 1147, 1049, 4318, 1060, 4397, 1005, 2706, 15690, 1072, 30701, 12842, 1451, 4424, 1465, 2262, 1726, 1955, 8791, 12165, 1392, 1005, 7958, 28846, 1118, 4573, 1072, 20034, 20722, 1162, 28258, 1411, 30509, 4675, 4672, 1005, 30509, 78, 2795, 1041, 1065, 15, 1005, 1325, 4807, 14208, 1054, 6825, 1006, 4173, 1009, 2686, 1209, 1005, 21703, 5134, 1170, 1048, 20983, 1046, 1006, 2042, 1005, 1006, 6386, 3863, 1054, 4573, 1463, 3145, 2342, 1436, 28152, 17126, 4810, 25224, 7878, 18, 12912, 1096, 1026, 2670, 1009, 12213, 1009, 2754, 18152, 1005, 2225, 6481, 1159, 1006, 8240, 1062, 12086, 7758, 1048, 3098, 1034, 25224, 9310, 1009, 3090, 12165, 1221, 1005, 2952, 1054, 13127, 3836, 14355, 1005, 1734, 13705, 1005, 1006, 30335, 15690, 1060, 5744, 1009, 3292, 1047, 74, 1573, 5559, 3662, 1048, 13404, 5255, 1166, 4085, 1060, 3671, 3803, 4333, 2252, 23296, 30406, 4807, 1006, 8240, 2677, 4712, 10843, 1271, 8398, 17346, 1273, 7607, 1435, 17354, 1233, 7350, 1187, 1176, 20049, 1048, 14239, 1026, 1235, 1720, 1006, 1807, 26174, 4750, 3942, 17211, 11788, 6535, 1048, 8027, 1040, 8195, 1009, 4961, 5661, 29963, 15042, 8480, 1006, 1224, 4022, 1726, 25224, 9230, 1043, 31960, 1009, 20042, 9904, 7194, 1599, 2191, 16664, 27976, 7078, 1060, 2342, 2485, 4455, 1060, 15421, 1072, 1784, 1049, 2011, 1005, 1060, 9320, 6298, 1365, 2451, 1005, 4263, 1005, 5556, 2952, 5339, 1026, 7065, 1060, 8239, 2691, 9103, 13100, 1054, 11057, 1159, 9192, 4594, 1049, 31850, 7194, 1599, 1026, 1235, 13488, 5464, 18, 1344, 1684, 79, 11921, 4358, 9208, 1054, 3113, 1009, 3303, 1213, 11399, 12912, 1482, 1021, 1032, 14349, 2441, 54, 21311, 1482, 21037, 4985, 1357, 12236, 1006, 3319, 4750, 1060, 27435, 1060, 4493, 1187, 22006, 15226, 23740, 1112, 11381, 1061, 3390, 11734, 1195, 17081, 1069, 4026, 1118, 12419, 2733, 1009, 1235, 3372, 1048, 5543, 1054, 11767, 1726, 11411 ]

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

[ 21391, 2925, 1126, 1060, 21583, 3849, 1126, 1006, 1111, 6464, 33, 1005, 1318, 1043, 1124, 9814, 7122, 7284, 1060, 10877, 1060, 17273, 1060, 3394, 24821, 1060, 30411, 1009, 8258, 1049, 3878, 1005, 1060, 4590, 3110, 1061, 3390, 11734, 1096, 1026, 1831, 24930, 1368, 2526, 1060, 9056, 8039, 1049, 4037, 5546, 1006, 1058, 4531, 1044, 29398, 17235, 1526, 1009, 1094, 2573, 2733, 15004, 158, 1411, 1094, 1472, 1048, 1132, 1734, 13754, 6929, 9227, 1327, 19542, 1060, 9056, 8039, 1005, 1456, 1746, 1021, 28765, 1159, 10653, 3801, 1049, 4037, 14056, 4206, 22031, 1205, 1060, 18078, 1005, 4243, 14384, 15371, 1060, 27979, 1365, 9918, 15413, 1096, 23221, 1009, 8039, 3360, 1118, 2290, 3759, 7151, 2950, 1795, 7151, 33, 1026, 1235, 10109, 1026, 3381, 4243, 1060, 13127, 1096, 20160, 84, 2526, 1060, 14555, 23287, 1049, 4037, 5546, 17607, 1107, 15833, 1814, 1009, 8039, 1349, 1005, 1006, 1224, 12902, 1006, 9056, 23051, 1060, 30411, 2985, 1671, 1060, 13127, 1096, 20160, 1692, 1076, 1060, 14555, 27704, 22103, 6158, 1049, 4037, 5546, 5436, 1944, 5380, 1060, 9056, 8039, 15, 3313, 1193, 11857, 1795, 5201, 1049, 4026, 16001, 3801, 1060, 30411, 15413, 9515, 15898, 1066, 7768, 1043, 1124, 6428, 2733, 7512, 1005, 18035, 5092, 32, 1224, 25252, 6165, 1032, 1179, 23801, 1006, 9056, 21074, 1076, 10768, 1342, 1060, 13127, 1516, 7391, 1049, 4026, 3381, 11734, 1009, 3032, 1005, 4809, 1049, 10332, 4763, 1156, 1049, 1561, 33, 1566, 1224, 25252, 5594, 1020, 1179, 12759, 1006, 14555, 3512, 10818, 1271, 19005, 18902, 1690, 4065, 1096, 1006, 23223, 1049, 3633, 1244, 5134, 1091, 1213, 25804, 15217, 12131, 4660, 15934, 9860, 1009, 16048, 158, 3297, 1005, 25899, 10583, 16103, 3705, 1235, 15334, 11305, 11694, 10188, 7962, 1018, 1399, 1930, 5673, 5464, 27820, 1005, 15361, 17577, 1458, 1431, 3151, 2689, 3216, 1091, 1072, 12333, 3584, 3512, 1187, 5143, 1102, 1009, 26297, 7153, 1072, 2481, 1178, 3181, 1069, 1060, 2921, 2596, 1048, 1026, 8330, 1187, 1456, 4141, 5425, 1305, 4305, 1044, 4618, 2127, 1356, 1235, 5333, 20, 1482, 10213, 3661, 18270, 1009, 4431, 1005, 5976, 1658, 1487, 1009, 3042, 1009, 21114, 1986, 27175, 1132, 1456, 5364, 9190, 1480, 1054, 13127, 1455, 1017, 1266, 2923, 1213, 16879, 6103, 14231, 11529, 1009, 6642, 1500, 1100, 1072, 16704, 1571, 9009, 1026, 12227, 1213, 11670, 1009, 13625, 1112, 2342, 8194, 2663, 22268, 1349, 1094, 3513, 1048, 1318, 3684, 11561, 5275, 1026, 7276, 1049, 31506, 1482, 6642, 1500, 1100, 15413, 1009, 17821, 6376, 9048, 1044, 24094, 2127, 2309, 1456, 2392, 1554, 1063, 1799, 1009, 3370, 1009, 12041, 29979, 7881, 4581, 1005, 4312, 1006, 4573, 7432, 2276, 1663, 4581, 19232, 10064, 1054, 9033, 4855, 1006, 1224, 4581, 5761, 17795, 32, 6782, 1114, 2828, 5998, 19865, 1009, 10213, 4817, 5463, 1005, 1094, 23379, 4817, 6877, 1054, 14671, 27612, 1114, 17167, 6109, 4479, 11529, 1409, 6367, 1560, 17069, 1060, 2828, 1009, 3477, 1017, 2640, 6319, 18, 1054, 7000, 4808, 1062, 5339, 1094, 5266, 24554, 1054, 6782, 1005, 1094, 23379, 1054, 14671, 27612, 18, 15413, 11734, 1096, 1026, 4026, 1009, 4573, 1043, 1712, 4581, 5761, 1191, 1961, 3027, 2281, 1026, 1831, 1114, 2618, 1009, 20645, 1213, 8487, 2095, 1009, 4573, 3110, 1061, 3390, 11734, 1096, 1588, 1122, 1362, 2528, 2340, 5879, 1043, 4007, 6818, 18, 2271, 1006, 1224, 27626, 2848, 11547, 32, 26217, 15088, 5976, 1005, 13692, 1027, 7381, 5051, 1537, 14326, 1375, 1418, 1006, 1224, 11597, 5051, 6835, 3830, 1114, 7299, 5464, 6990, 1009, 8946, 1385, 2731, 1114, 5411, 23041, 6990, 1009, 1570, 1626, 1005, 1114, 7299, 5464, 1049, 1594, 1009, 4833, 1180, 12504, 2652, 7766, 1233, 1224, 17081, 1112, 1159, 22017, 19378, 1032, 1393, 1124, 3759, 1452, 1009, 21125, 3577, 1017, 6252, 1049, 7940, 5464, 1271, 1594, 3036, 1049, 7783, 1009, 5033, 1009, 5296, 10139, 1411, 12114, 1009, 7288, 1889, 1049, 7940, 5464, 1060, 6729, 1140, 1005, 21125, 3577, 1017, 6252, 1049, 7940, 5464, 1049, 7783, 1049, 1594, 20, 14351, 1578, 1646, 1009, 10335, 1054, 20796, 9009, 1006, 1224, 11597, 1159, 9515, 21450, 1328, 1072, 7618, 17801, 4170, 12127, 11167, 79, 10368, 2231, 73, 1577, 1658, 2323, 1009, 1204, 1009, 3370, 1009, 7127, 1213, 1178, 17081, 1069, 22017, 18584, 91, 1371, 1054, 12114, 6179, 21497, 1271, 15607, 23383, 16544, 12011, 5, 621, 4878, 4791, 1009, 16705, 6729, 1140, 1005, 7783, 1049, 1594, 621, 8168, 5383, 7177, 22017, 1009, 3646, 10254, 1025, 1009, 15207, 22619, 13143, 1010, 1159, 1026, 1015, 1022, 2690, 1005, 1026, 28173, 20, 1776, 1048, 3631, 1497, 1213, 30893, 1009, 4625, 1126, 1054, 10285, 1005, 8029, 1006, 1224, 29312, 2793, 1054, 1831, 1072, 7248, 1009, 4573, 1114, 3161, 4153, 4566, 1005, 4857, 1318, 1006, 12541, 1009, 27497, 1482, 8029, 2793, 1054, 12035, 1072, 7248, 1049, 1784, 1009, 4625, 1377, 2034, 1569, 23621, 1072, 3848, 3747, 29544, 6256, 1178, 13294, 1006, 3734, 1009, 2992, 1009, 9730, 1068, 6098, 1294, 3945, 5175, 20, 1063, 1984, 1009, 3261, 1009, 16456, 1006, 1224, 29312, 10652, 1006, 4744, 1114, 12541, 1009, 4573, 1009, 25882, 1009, 9694, 11822, 3589, 8990, 2940, 1992, 1006, 1224, 6228, 1068, 1124, 2022, 7467, 162, 5010, 4083, 3945, 5175, 1009, 14063, 1054, 9730, 1195, 1026, 1345, 1330, 1239, 1136, 1060, 24047, 25502, 15690, 1005, 6580, 1294, 24238, 25354, 1079, 1114, 5261, 3621, 1114, 3161, 1638, 1253, 1009, 4625, 1126, 1356, 1048, 3661, 1044, 19819, 21547, 3242, 1065, 13633, 1005, 24909, 14526, 25044, 4255, 4395, 1083, 1009, 3113, 1009, 5238, 6139, 1026, 1235, 9797, 1795, 1610, 17469, 1043, 1006, 8746, 5389, 1189, 2860, 7494, 2942, 27724, 1127, 8729, 1016, 1078, 1577, 3868, 9809, 3367, 1080, 9809, 5323, 24577, 1006, 3295, 1009, 2436, 1009, 4864, 1114, 17162, 1060, 11695, 1302, 1937, 1009, 10213, 20, 4116, 1198, 82, 2890, 3356, 2644, 23659, 1009, 2956, 1009, 4320, 5314, 1049, 5108, 1992, 1159, 5138, 8317, 1009, 4573, 1005, 1049, 20034, 33, 1365, 1132, 3356, 1452, 1501, 1753, 7651, 1132, 19125, 1009, 13582, 23923, 13071, 1005, 17760, 33, 1026, 11399, 4243, 1009, 4523, 1400, 1006, 9056, 1776, 1017, 1060, 12482, 9201, 1006, 14555, 11440, 1049, 1082, 168, 1925, 3426, 1026, 8187, 1009, 17068, 2861, 2137, 1188, 11375, 1100, 1026, 26235, 2994, 4763, 5059, 5052, 1026, 14698, 1060, 6442, 1049, 2709, 14427, 13370, 1623, 1005, 1026, 24094, 19420, 1060, 7136, 14984, 20968, 1142, 82, 2669, 3110, 4851, 1257, 8485, 1017, 1009, 7027, 1132, 11815, 22703, 1006, 4984, 1009, 3268, 1009, 4483, 5, 23051, 1009, 7027, 1132, 11815, 22703, 1006, 3939, 1009, 3149, 1009, 4187, 26490, 3390, 1096, 3166, 1810, 1009, 2920, 3723, 22246, 1026, 11399, 8531, 1120, 1699, 4627, 1333, 1060, 13221, 1005, 17760, 33, 1026, 11399, 24833, 11377, 1009, 6757, 169, 1446, 33, 15413, 1163, 6294, 1279, 3840, 1619, 85, 1005, 12237, 18, 1026, 3419, 1049, 1235, 21897, 5045, 90, 1470, 84, 8399, 1224, 1472, 3419, 1060, 1869, 3912, 1073, 6217, 3929, 8094, 1228, 14484, 1056, 1645, 1021, 1005, 17821, 72, 3529, 3419, 1060, 1224, 7668, 1006, 1869, 3912, 16859, 33, 1006, 14555, 4211, 4216, 5799, 1007, 1060, 18078, 33, 1026, 11399, 14395, 1060, 17760, 33, 10653, 1009, 21964, 15354, 5380, 1049, 11399, 4243, 15413, 1009, 21964, 5305, 1005, 1006, 14555, 23051, 1060, 20634, 5954, 5380, 1049, 11399, 1344, 3744, 1120, 1021, 3840, 1476, 1051, 1060, 27782, 3772, 1389, 9680, 5669, 1170, 1005, 17081, 1112, 29092, 10990, 1243, 1060, 25913, 2271, 1006, 17081, 1112, 1009, 1235, 3372, 1159, 22017, 2271, 3295, 1009, 3113, 1009, 13912, 1495, 7127, 15413, 3661, 1054, 1083, 1009, 3113, 1009, 14157, 1026, 3479, 1009, 11399, 1271, 8398, 17346, 1273, 3994, 1043, 1132, 7268, 1009, 11399, 1009, 21998, 1925, 1005, 11399, 1009, 22126, 33, 19945, 1679, 9630, 1689, 1187, 29280, 1009, 4091, 7149, 29968, 1005, 9941, 1024, 2339, 7329, 11221, 14070, 1072, 675, 1006, 28252, 7036, 1377, 1138, 1042, 1032, 7913, 1992, 25129, 1132, 7268, 1009, 17824, 1009, 4143, 1245, 1662, 18, 11238, 1009, 1062, 1512, 1153, 1005, 8796, 1009, 1106, 3691, 22647, 1658, 2595, 1009, 2992, 1009, 20100, 1679, 31744, 2864, 1151, 6618, 13416, 1124, 1062, 13818, 8763, 27816, 1233, 17314, 1005, 1213, 22017, 18579, 1006, 16142, 4641, 1049, 1235, 3129, 22272, 1159, 18895, 1060, 25913, 2286, 1101, 1009, 3370, 1009, 7127, 1026, 4026, 3381, 4243, 20086, 1006, 1224, 6866, 1009, 1345, 2412, 3803, 4733, 1006, 9738, 1009, 1094, 3940, 28121, 2742, 1159, 16280, 1026, 2859, 1487, 3162, 27, 1049, 3407, 13751, 26217, 30028, 1054, 2475, 1009, 3370, 1009, 7127, 1124, 1062, 13818, 8763, 4254, 1412, 1006, 1345, 2412, 1112, 1009, 1235, 10109, 1043, 3939, 31, 7533, 1006, 7855, 1204, 1717, 1005, 3404, 12415, 8806, 20, 3126, 17081, 1069, 6954, 1089, 1009, 4573, 8, 2691, 1062, 13818, 8763, 1054, 1204, 1009, 3370, 1009, 4152, 1658, 3554, 1436, 1054, 4573, 1005, 1072, 20034, 1537, 22082, 1006, 9743, 1187, 1456, 5364, 5761, 1191, 1391, 1294, 2138, 6547, 4660, 7712, 19536, 1213, 2729, 1009, 1752, 4183, 15432, 1132, 21823, 31671, 25035, 1060, 1224, 6758, 1009, 4913, 74, 1243, 1060, 17713, 1126, 1465, 2262, 24349, 1251, 2184, 7878, 1054, 4573, 1005, 14930, 1294, 16250, 1184, 12082, 1187, 2625, 2872, 3052, 1005, 8618, 1478, 1060, 1834, 4345, 15690, 1658, 2323, 1009, 3268, 1009, 15440, 7717, 1094, 2700, 1009, 14991, 7878, 1726, 8879, 1584, 2681, 4163, 1043, 1026, 2822, 1009, 29529, 1072, 4318, 1009, 4573, 1005, 10830, 1006, 19701, 1679, 13695, 24233, 3021, 1120, 1191, 26560, 1278, 16847, 1005, 12100, 1043, 1132, 9134, 30778, 1005, 1043, 1124, 3145, 6535, 1049, 2956, 1043, 1026, 20520, 1009, 2593, 1213, 10419, 1271, 1569, 15777, 20489, 6751, 8536, 1006, 12100, 1043, 24875, 19933, 1060, 2951, 74, 2347, 1582, 1049, 2956, 1005, 1271, 6930, 1436, 5998, 2681, 4163, 8, 1511, 1992, 1026, 28543, 1124, 25224, 31671, 1048, 1959, 6413, 3360, 7441, 1159, 6842, 13737, 24447, 1054, 28879, 8317, 1005, 3122, 3273, 1044, 1807, 2285, 1009, 1783, 1043, 1006, 13496, 1009, 2593, 19116, 1060, 6386, 3267, 1005, 24962, 8785, 2745, 8491, 16847, 1043, 1783, 10947, 1060, 1224, 6697, 1005, 1048, 19681, 1250, 27728, 1294, 8618, 1478, 20011, 12165, 2274, 6932, 1005, 1187, 8326, 1009, 5556, 6592, 1160, 3356, 75, 1026, 22017, 1465, 2262, 17354, 1726, 1365, 4369, 1009, 11368, 1139, 1932, 1679, 7878, 1005, 1681, 1684, 4403, 1271, 5298, 4527, 5010, 4685, 14930, 1054, 10724, 7114, 1187, 2125, 30236, 1478, 3942, 1048, 1058, 4768, 1726, 1569, 25224, 1072, 5989, 3478, 9009, 28668, 8203, 7878, 1006, 3825, 15445, 1005, 3252, 9628, 1992, 1159, 1679, 1049, 1784, 27565, 1324, 8609, 8844, 13171, 1005, 10493, 21666, 27781, 1044, 2127, 4961, 1118, 1664, 1132, 10022, 8042, 1043, 1006, 4630, 5559, 1411, 12914, 6219, 3017, 3826, 1009, 6442, 1005, 8441, 1471, 3840, 83, 10960, 6889, 2992, 1009, 14835, 1026, 11399, 1271, 8398, 175, 6852, 9038, 1006, 10068, 1049, 2956, 1463, 16319, 1009, 8894, 1187, 23653, 13781, 1471, 19846, 1658, 19184, 25129, 3904, 17814, 1044, 3129, 1493, 1251, 9064, 1114, 9050, 1187, 9200, 12165, 1391, 1005, 7958, 1009, 4573, 1005, 1072, 13971, 1147, 1049, 4318, 1060, 4397, 1005, 2706, 15690, 1072, 30701, 12842, 1451, 4424, 1465, 2262, 1726, 1955, 8791, 12165, 1392, 1005, 7958, 28846, 1118, 4573, 1072, 20034, 20722, 1162, 28258, 1411, 30509, 4675, 4672, 1005, 30509, 78, 2795, 1041, 1065, 15, 1005, 1325, 4807, 14208, 1054, 6825, 1006, 4173, 1009, 2686, 1209, 1005, 21703, 5134, 1170, 1048, 20983, 1046, 1006, 2042, 1005, 1006, 6386, 3863, 1054, 4573, 1463, 3145, 2342, 1436, 28152, 17126, 4810, 25224, 7878, 18, 12912, 1096, 1026, 2670, 1009, 12213, 1009, 2754, 18152, 1005, 2225, 6481, 1159, 1006, 8240, 1062, 12086, 7758, 1048, 3098, 1034, 25224, 9310, 1009, 3090, 12165, 1221, 1005, 2952, 1054, 13127, 3836, 14355, 1005, 1734, 13705, 1005, 1006, 30335, 15690, 1060, 5744, 1009, 3292, 1047, 74, 1573, 5559, 3662, 1048, 13404, 5255, 1166, 4085, 1060, 3671, 3803, 4333, 2252, 23296, 30406, 4807, 1006, 8240, 2677, 4712, 10843, 1271, 8398, 17346, 1273, 7607, 1435, 17354, 1233, 7350, 1187, 1176, 20049, 1048, 14239, 1026, 1235, 1720, 1006, 1807, 26174, 4750, 3942, 17211, 11788, 6535, 1048, 8027, 1040, 8195, 1009, 4961, 5661, 29963, 15042, 8480, 1006, 1224, 4022, 1726, 25224, 9230, 1043, 31960, 1009, 20042, 9904, 7194, 1599, 2191, 16664, 27976, 7078, 1060, 2342, 2485, 4455, 1060, 15421, 1072, 1784, 1049, 2011, 1005, 1060, 9320, 6298, 1365, 2451, 1005, 4263, 1005, 5556, 2952, 5339, 1026, 7065, 1060, 8239, 2691, 9103, 13100, 1054, 11057, 1159, 9192, 4594, 1049, 31850, 7194, 1599, 1026, 1235, 13488, 5464, 18, 1344, 1684, 79, 11921, 4358, 9208, 1054, 3113, 1009, 3303, 1213, 11399, 12912, 1482, 1021, 1032, 14349, 2441, 54, 21311, 1482, 21037, 4985, 1357, 12236, 1006, 3319, 4750, 1060, 27435, 1060, 4493, 1187, 22006, 15226, 23740, 1112, 11381, 1061, 3390, 11734, 1195, 17081, 1069, 4026, 1118, 12419, 2733, 1009, 1235, 3372, 1048, 5543, 1054, 11767, 1726, 11411 ]

[ 10688, 1102, 73, 1140, 2838, 30, 5812, 1467, 1063, 3038, 1845, 3375, 1096, 1094, 9705, 7302, 1026, 20520, 1096, 7904, 1005, 3371, 1132, 5513, 6501, 1166, 6485, 6256, 1094, 1834, 9653, 71, 7550, 12818, 2089, 18152, 1566, 2039, 159, 1347, 4319, 1159, 16871, 1006, 3649, 1009, 1044, 2642, 27318, 1571, 9545, 4034, 1068, 1132, 16310, 2048, 0, 71, 162, 1841, 7206, 1800, 1009, 12742, 1006, 1006, 5267, 20, 2430, 18896, 1508, 1044, 3182, 1571, 3592, 4034, 4444, 7284, 1005, 1160, 1657, 1184, 1044, 14583, 1009, 18725, 4850, 1049, 8679, 1009, 2350, 1783, 1068, 4379, 1048, 3530, 27187, 1992, 1026, 4444, 2098, 21038, 1027, 13217, 2739, 18152, 1043, 7325, 1311, 1051, 4650, 2653, 8004, 1068, 1155, 5209, 1645, 1132, 1048, 6011, 1159, 5675, 1026, 23666, 1005, 20527, 3043, 1229, 1309, 1006, 10712, 1149, 1005, 18139, 1271, 6963, 3592, 1841, 2643, 1009, 15922, 1930, 2340, 1009, 2574, 6054, 1026, 8679, 1009, 2088, 13416, 1044, 4113, 1305, 4946, 0, 85, 5085, 2309, 5513, 6788, 29549, 1394, 1160, 2133, 29863, 2276, 1325, 1114, 4464, 1009, 13739, 1800, 1664, 8312, 1068, 5525, 1026, 1048, 5103, 8589, 1619, 1188, 1233, 3940, 1054, 2869, 1374, 26037, 1009, 2306, 1160, 1006, 22602, 1072, 1235, 31090, 1043, 1132, 5513, 3021, 10781, 8897, 3754, 1048, 1837, 17294, 1005, 3781, 1072, 1784, 0, 85, 1048, 22011, 1096, 7443, 2276, 20874, 20808, 8396, 2072, 2909, 1250, 1043, 6546, 5729, 1187, 18725, 1072, 14489, 6546, 5729, 9230, 1043, 1026, 25191, 1177, 1068, 1043, 1132, 1734, 9471, 1048, 25846, 1046, 1049, 1592, 3182, 1048, 3230, 1318, 5036, 1751, 1060, 3028, 17265, 1049, 1784, 1054, 1048, 26818, 1005, 1058, 1294, 8205, 9809, 1160, 1837, 7065, 1702, 1068, 1178, 1800, 28509, 1347, 3812, 2315, 1009, 2997, 1026, 2991, 1679, 3794, 5162, 1068, 1048, 1294, 7024, 1646, 1160, 4444, 31555, 18152, 1068, 1132, 16310, 2048, 1049, 23666, 1309, 1657, 27187, 1068, 11849, 4313, 675, 12448, 1385, 1225, 1009, 5525, 0, 3355, 156, 2315, 2691, 5426, 17584, 0, 75, 21161, 1132, 5513, 2177, 1043, 1006, 5391, 1094, 8545, 0, 14470, 1302, 1024, 1132, 1048, 1160, 1327, 3631, 8003, 0, 75, 8160, 1130, 1132, 1048, 1160, 1132, 11825, 21161, 2904, 1024, 1226, 12089, 1759, 20384, 9023, 27694, 1218, 7997, 29298, 2555, 6699, 3564, 1401, 1024, 1928, 85, 1898, 45, 2361, 31784, 1157, 3226, 42, 1540, 1010, 9796, 1343, 1797, 28102, 3341, 11780, 3917, 1759, 2555, 5, 55, 5, 55, 1759, 1759, 2503, 8682, 1101, 1307, 1422, 1487, 1675, 25789, 1799, 1844, 1782, 2475, 2224, 2523, 27725, 1984, 2182, 2128, 1578, 1204, 1158, 5, 2337, 3295, 3404, 2978, 2971, 3727, 3734, 5, 3989, 3939, 2595, 4984, 1467, 1385, 6186, 1467, 54, 4517, 1072, 6332, 1467, 54, 4517, 1072, 6332, 5640, 3759, 16103, 11933, 17361, 5820, 3094, 21486, 1009, 10816, 1059, 16729, 9217, 20271, 17011, 5067, 21159, 1074, 21030, 2098, 11941, 24128, 1283, 14087, 2401, 32, 18671, 2788, 1274, 1018, 7547, 11393, 14247, 2199, 1253, 2604, 7914, 9023, 27751, 4541, 11104, 1460, 11243, 2604, 26647, 1274, 1802, 1, 2800, 12950, 1048, 1006, 1224, 1834, 1096, 1493, 28537, 22312, 1044, 2417, 1072, 7098, 1259, 1202, 1068, 1048, 1299, 2374, 22991, 17885, 1, 9338, 2841, 32, 3047, 7158, 3878, 2677, 2477, 2787, 30492, 1298, 6388, 1026, 3479, 1118, 1261, 1284, 1069, 1028, 2634, 1068, 24990, 1009, 9319, 1152, 8517, 1175, 11532, 1979, 1009, 14818, 6170, 88, 1068, 1006, 13031, 1576, 1637, 1068, 1026, 3284, 2751, 6170, 88, 1068, 1006, 8494, 10432, 17897, 6170, 88, 1068, 8494, 10432, 26294, 6170, 88, 1068, 31235, 1467, 41, 1479, 11532, 1979, 1009, 14818, 13624, 10888, 1458, 29298, 1123, 3920, 5, 643, 14232, 13829, 626, 11009, 1006, 9782, 1060, 7049, 6447, 2995, 1330, 2572, 2848, 2203, 7332, 1054, 1235, 2017, 2868, 12674, 2995, 31056, 32, 3047, 7158, 3878, 2677, 2477, 2787, 30492, 1298, 6388, 1026, 3479, 1118, 1261, 1284, 1069, 1028, 2634, 1068, 24990, 1009, 9319, 5, 3531, 2501, 12256, 1118, 26803, 5217, 2816, 14906, 2477, 2787, 1071, 1363, 73, 1239, 1060, 1116, 29251, 1068, 1006, 1004, 8607, 3692, 2122, 3616, 1620, 2155, 11186, 1493, 3010, 7572, 7158, 22197, 2488, 2695, 1528, 1006, 4734, 1048, 4112, 1814, 1096, 1006, 2511, 1898, 625, 54, 4186, 39, 26129, 4071, 27735, 3083, 18862, 30211, 3776, 11018, 11434, 39, 4826, 5356, 2545, 2818, 22481, 5237, 19897, 7915, 22523, 1180, 6524, 4212, 7915, 58, 3083, 7309, 2053, 16837, 27340, 6767, 57, 2428, 2818, 1082, 22656, 1467, 1082, 22656, 13076, 53, 23704, 7338, 23361, 27813, 9435, 1144, 15642, 1144, 4212, 23361, 1067, 23769, 24460, 3924, 45, 4071, 1926, 7826, 6860, 1067, 5794, 2428, 16162, 52, 14083, 2428, 1833, 13807, 21402, 1163, 39, 4436, 39, 1205, 23297, 22819, 13076, 53, 1205, 23297, 16162, 14732, 19265, 11326, 3083, 2053, 1063, 1082, 22656, 1123, 45, 4127, 7554, 2870, 41, 4414, 39, 25705, 46, 9435, 11076, 23704, 4826, 22268, 1144, 15642, 1084, 6860, 21305, 53, 1144, 4212, 1073, 9753, 2393, 3726, 7915, 58, 3083, 7309, 2053, 2818, 27340, 29482, 9128, 45, 9835, 3482, 43, 13076, 53, 1138, 7817, 64, 2393, 1205, 23297, 1205, 9020, 2053, 22523, 2079, 2581, 39, 30196, 2545, 1205, 3402, 23704, 4826, 2053, 1144, 59, 2545, 1084, 1138, 1082, 22656, 21193, 1205, 23297, 10473, 1138, 23651, 6766, 5462, 23704, 24290, 1467, 45, 21402, 3741, 7463, 2393, 53, 25206, 9036, 1063, 1163, 39, 4436, 39, 21223, 22819, 13076, 53, 21223, 1073, 5356, 13237, 10473, 22481, 5237, 9020, 1063, 1062, 15523, 3107, 19217, 5462, 1123, 8638, 13951, 2805, 7338, 5462, 1067, 5356, 7915, 58, 3083, 54, 2053, 5462, 1082, 22656, 21193, 4127, 1797, 46, 7146, 22268, 1063, 1207, 21402, 6764, 25206, 42, 9399, 1163, 39, 4436, 39, 22819, 1084, 16549, 16519, 47, 22819, 8517, 5881, 22268, 1138, 1082, 22656, 21193, 1205, 3642, 2428, 28880, 3924, 1063, 22959, 45, 2805, 9703, 8562, 5462, 1082, 22656, 8305, 4812, 2393, 13237, 1084, 8883, 29350, 2606, 6125, 2053, 1063, 11884, 14732, 4826, 3402, 6764, 1163, 39, 4436, 39, 16837, 28880, 30307, 27735, 3083, 3726, 2870, 5462, 1082, 22656, 21193, 11029, 1082, 22656, 8305, 4812, 2393, 13237, 5, 6923, 2393, 4212, 2428, 1084, 16549, 18109, 39, 5462, 1082, 22656, 21193, 21305, 53, 2013, 22523, 25206, 45, 2581, 9671, 1144, 4517, 23983, 1059, 2870, 13237, 8883, 17078, 11076, 27340, 6767, 57, 2428, 2818, 1082, 22656, 7988, 3402, 16162, 31902, 2713, 9703, 15104, 25159, 47, 11029, 23486, 13237, 21193, 3576, 3642, 2428, 25206, 1138, 11076, 1138, 1119, 2581, 2982, 42, 11893, 9835, 54, 1073, 2606, 13603, 29695, 13237, 1833, 4233, 3642, 2428, 9622, 14705, 19295, 1063, 24460, 3924, 6764, 1082, 22656, 25160, 13096, 10473, 1084, 10093, 626, 2098, 3352, 10457, 1060, 7158, 1431, 2148, 1117, 7595, 1127, 16688, 2677, 2477, 2787, 30492, 19362, 1731, 1497, 7158, 2293, 3279, 1049, 2709, 4127, 1160, 1298, 6098, 1060, 6947, 5092, 1049, 7927, 7158, 2342, 1100, 1026, 7158, 6220, 10077, 1049, 1572, 21234, 2677, 2477, 2787, 1284, 1079, 1028, 2634, 1068, 1124, 28809, 1009, 1044, 23112, 1317, 1348, 1068, 1006, 8902, 1009, 1044, 2373, 8475, 626, 1009, 1499, 1377, 6232, 1428, 3768, 1153, 1006, 5958, 1005, 7197, 28211, 10240, 1996, 1009, 1058, 4531, 7158, 3836, 13135, 8221, 2567, 8602, 7475, 1124, 5795, 1009, 28211, 5437, 1412, 1068, 1006, 5623, 23268, 20046, 1005, 1687, 1195, 19370, 1006, 17139, 1787, 1213, 3479, 2156, 7082, 1996, 1009, 1224, 3189, 1007, 1178, 9094, 20041, 5721, 2677, 2477, 2787, 1160, 1096, 3048, 1044, 2574, 3630, 32, 19685, 1357, 5065, 1097, 3308, 1034, 1187, 23399, 1060, 9163, 3438, 14, 16, 1349, 2677, 2477, 2787, 1325, 1847, 20093, 1140, 1357, 7271, 18650, 3208, 1159, 1094, 31701, 1009, 9127, 11696, 3316, 25592, 18470, 1148, 1006, 18470, 1148, 1006, 1156, 5922, 3512, 20968, 1457, 4536, 82, 1140, 1054, 9685, 1434, 1587, 1018, 1068, 1261, 6256, 1026, 3479, 7263, 1651, 2477, 1069, 2309, 3361, 11141, 5841, 4087, 5140, 1511, 1587, 1018, 2521, 5795, 9839, 1114, 7298, 1009, 6671, 1273, 5635, 1996, 1009, 1178, 11710, 1140, 7158, 30624, 24326, 1072, 1852, 1009, 18089, 18324, 91, 1114, 2921, 30108, 1231, 5613, 8093, 6264, 1049, 7158, 1561, 1327, 5864, 1678, 1309, 1160, 1327, 1756, 1312, 1233, 15660, 1609, 32, 1054, 3261, 1009, 7905, 23904, 2156, 7082, 1068, 1026, 7927, 7158, 24339, 29771, 14759, 1060, 6285, 3179, 1195, 1481, 1451, 2757, 1986, 1006, 7922, 1009, 1044, 10176, 1009, 1028, 3293, 96, 1357, 7091, 2005, 3965, 5296, 2107, 1379, 1026, 5904, 3784, 1309, 2521, 1006, 1224, 3189, 5304, 7141, 1079, 1118, 6544, 1060, 8263, 1159, 1044, 1211, 1922, 1679, 4101, 1060, 4422, 1049, 7158, 17240, 1048, 1006, 2289, 24811, 2383, 2166, 1200, 30655, 71, 3021, 2628, 13762, 1836, 19685, 1356, 1025, 1388, 1009, 1261, 2281, 2813, 23690, 1009, 1094, 3536, 1049, 9550, 31068, 1844, 1114, 3546, 4643, 1667, 14485, 1592, 1026, 3124, 1009, 1261, 21773, 1026, 26589, 1009, 10453, 3306, 2628, 13762, 14759, 1068, 29771, 6285, 15, 7209, 1026, 1090, 1007, 15904, 6112, 11941, 1045, 2745, 1006, 12168, 1009, 6782, 7514, 1455, 2954, 1036, 1324, 2623, 2029, 1009, 1044, 9624, 1048, 3684, 3012, 1261, 3156, 1069, 1006, 11710, 1377, 3316, 1345, 1014, 1582, 2098, 88, 2477, 2787, 1284, 1079, 1841, 1028, 2634, 1996, 1009, 1178, 7158, 2293, 3279, 1049, 2709, 15502, 12710, 1048, 1687, 22292, 1026, 3479, 1005, 11501, 1043, 1124, 11335, 1009, 1224, 1848, 27701, 3343, 7962, 1013, 3350, 1533, 26887, 1006, 25592, 4137, 1048, 1298, 1169, 6092, 1339, 8357, 1898, 14, 22691, 1665, 3438, 1096, 1026, 3756, 1159, 1006, 7428, 3438, 19202, 1161, 1005, 20693, 1976, 1178, 1927, 6216, 32, 1054, 25407, 3085, 1273, 1068, 15195, 1026, 2950, 1026, 1561, 1096, 1094, 1681, 11412, 1051, 1279, 12149, 1206, 1044, 4284, 25339, 4466, 2132, 10704, 4519, 2086, 3530, 1015, 21512, 1300, 6009, 23892, 14408, 1049, 23927, 1014, 1344, 4566, 9550, 10255, 18, 9550, 4557, 1005, 1744, 2914, 15, 1054, 4732, 1009, 21416, 1009, 25401, 1018, 2555, 60, 1054, 17756, 5132, 14206, 1467, 2838, 1434, 5639, 1898, 1534, 26331, 24245, 15035, 1383, 21707, 14996, 15162, 14499, 4093, 17000, 1072, 1128, 1036, 1245, 88, 1576, 14945, 1797, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 31781, 2491, 1069, 12256, 1054, 2978, 10993, 3228, 2081, 1054, 11532, 79, 8034, 1009, 14818, 1005, 11271, 1159, 9338, 2841, 32, 3047, 7158, 3878, 6698, 18, 7158, 1561, 7218, 17529, 1126, 1181, 2166, 1298, 3215, 1870, 1298, 6388, 1026, 3479, 1118, 1261, 1284, 1069, 1028, 2634, 1068, 24990, 1009, 24452, 1284, 1079, 1043, 1058, 1047, 13141, 4921, 2677, 2477, 2787, 30492, 1067, 5794, 53, 2818, 18109, 2722, 1128, 4503, 5356, 7185, 6594, 20, 13189, 1026, 4941, 1679, 19353, 20, 13492, 1044, 6737, 1059, 643, 14232, 13829, 626, 11009, 1006, 9782, 1060, 7049, 6447, 2995, 1330, 2572, 2848, 2203, 7332, 1054, 1235, 2017, 2868, 12674, 28165, 1044, 6737, 4093, 13386, 1083, 28165, 1006, 1224, 7059, 7, 31758, 1024, 3484, 2503, 19851, 1235, 6737, 2307, 19007, 1013, 1447, 1107, 1132, 1456, 1858, 4331, 1206, 7705, 1054, 1044, 14460, 1068, 4240, 1098, 13778, 4066, 26703, 1602, 5094, 15, 5469, 2473, 4531, 7137, 2999, 1308, 19568, 26703, 1602, 5094, 13312, 1459, 4956, 1325, 3326, 1157, 7575, 1224, 2612, 21159, 1074, 21030, 20, 1071, 2741, 1130, 2135, 18576, 1439, 17541, 2066, 1325, 3326, 1157, 7575, 1224, 2612, 8556, 20, 1071, 2741, 1130, 2135, 18576, 1439, 17541, 2066, 1325, 3326, 1157, 7575, 1224, 2612, 6332, 20, 1071, 2741, 1130, 2135, 18576, 1439, 675, 11781, 6198, 1024, 8018, 29829, 1006, 4925, 89, 1467, 92, 2571, 6027, 1322, 3398, 5812, 1118, 7793, 1533, 92, 2571, 6027, 1322, 3606, 13468, 1118, 7793, 1059, 295, 28625, 1024, 1118, 10568, 1476, 1105, 1130, 4006, 1292, 1066, 2646, 2311, 10735, 23316, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 13758, 1105, 1130, 3836, 5705, 52, 2311, 15097, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 13758, 1105, 1130, 15656, 2311, 25866, 162, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 13758, 1105, 1130, 3584, 17367, 2311, 3584, 4934, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 2995, 2126, 1072, 21159, 1074, 21030, 2098, 11941, 7317, 1005, 9983, 32, 6062, 2788, 11643, 7547, 11393, 4116, 5711, 1006, 2071, 1668, 13407, 1299, 21113, 1043, 1235, 28315, 1, 3713, 1325, 24268, 9597, 13067, 6398, 11490, 10177, 6398, 11248, 10771, 1049, 2956, 6398, 4483, 6398, 3042, 6398, 1119, 1787, 1047, 10771, 9801, 20963, 10536, 27, 1, 21893, 1846, 1009, 2739, 1564, 1016, 1005, 16368, 1273, 1006, 13774, 22690, 3517, 1251, 1065, 1079, 1006, 4561, 2484, 22105, 1037, 8772, 1049, 4813, 8450, 1049, 8605, 1060, 1782, 0, 7569, 1005, 1210, 15824, 1026, 15873, 1009, 6974, 2854, 71, 1118, 22388, 1272, 11055, 3083, 15, 1068, 4581, 1009, 4235, 1009, 10906, 1041, 3983, 1063, 4497, 1096, 3435, 1009, 9782, 1048, 5687, 3068, 9707, 19829, 1349, 1054, 8750, 4334, 44 ]

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

[ 10688, 1102, 73, 1140, 2838, 30, 5812, 1467, 1063, 3038, 1845, 3375, 1096, 1094, 9705, 7302, 1026, 20520, 1096, 7904, 1005, 3371, 1132, 5513, 6501, 1166, 6485, 6256, 1094, 1834, 9653, 71, 7550, 12818, 2089, 18152, 1566, 2039, 159, 1347, 4319, 1159, 16871, 1006, 3649, 1009, 1044, 2642, 27318, 1571, 9545, 4034, 1068, 1132, 16310, 2048, 0, 71, 162, 1841, 7206, 1800, 1009, 12742, 1006, 1006, 5267, 20, 2430, 18896, 1508, 1044, 3182, 1571, 3592, 4034, 4444, 7284, 1005, 1160, 1657, 1184, 1044, 14583, 1009, 18725, 4850, 1049, 8679, 1009, 2350, 1783, 1068, 4379, 1048, 3530, 27187, 1992, 1026, 4444, 2098, 21038, 1027, 13217, 2739, 18152, 1043, 7325, 1311, 1051, 4650, 2653, 8004, 1068, 1155, 5209, 1645, 1132, 1048, 6011, 1159, 5675, 1026, 23666, 1005, 20527, 3043, 1229, 1309, 1006, 10712, 1149, 1005, 18139, 1271, 6963, 3592, 1841, 2643, 1009, 15922, 1930, 2340, 1009, 2574, 6054, 1026, 8679, 1009, 2088, 13416, 1044, 4113, 1305, 4946, 0, 85, 5085, 2309, 5513, 6788, 29549, 1394, 1160, 2133, 29863, 2276, 1325, 1114, 4464, 1009, 13739, 1800, 1664, 8312, 1068, 5525, 1026, 1048, 5103, 8589, 1619, 1188, 1233, 3940, 1054, 2869, 1374, 26037, 1009, 2306, 1160, 1006, 22602, 1072, 1235, 31090, 1043, 1132, 5513, 3021, 10781, 8897, 3754, 1048, 1837, 17294, 1005, 3781, 1072, 1784, 0, 85, 1048, 22011, 1096, 7443, 2276, 20874, 20808, 8396, 2072, 2909, 1250, 1043, 6546, 5729, 1187, 18725, 1072, 14489, 6546, 5729, 9230, 1043, 1026, 25191, 1177, 1068, 1043, 1132, 1734, 9471, 1048, 25846, 1046, 1049, 1592, 3182, 1048, 3230, 1318, 5036, 1751, 1060, 3028, 17265, 1049, 1784, 1054, 1048, 26818, 1005, 1058, 1294, 8205, 9809, 1160, 1837, 7065, 1702, 1068, 1178, 1800, 28509, 1347, 3812, 2315, 1009, 2997, 1026, 2991, 1679, 3794, 5162, 1068, 1048, 1294, 7024, 1646, 1160, 4444, 31555, 18152, 1068, 1132, 16310, 2048, 1049, 23666, 1309, 1657, 27187, 1068, 11849, 4313, 675, 12448, 1385, 1225, 1009, 5525, 0, 3355, 156, 2315, 2691, 5426, 17584, 0, 75, 21161, 1132, 5513, 2177, 1043, 1006, 5391, 1094, 8545, 0, 14470, 1302, 1024, 1132, 1048, 1160, 1327, 3631, 8003, 0, 75, 8160, 1130, 1132, 1048, 1160, 1132, 11825, 21161, 2904, 1024, 1226, 12089, 1759, 20384, 9023, 27694, 1218, 7997, 29298, 2555, 6699, 3564, 1401, 1024, 1928, 85, 1898, 45, 2361, 31784, 1157, 3226, 42, 1540, 1010, 9796, 1343, 1797, 28102, 3341, 11780, 3917, 1759, 2555, 5, 55, 5, 55, 1759, 1759, 2503, 8682, 1101, 1307, 1422, 1487, 1675, 25789, 1799, 1844, 1782, 2475, 2224, 2523, 27725, 1984, 2182, 2128, 1578, 1204, 1158, 5, 2337, 3295, 3404, 2978, 2971, 3727, 3734, 5, 3989, 3939, 2595, 4984, 1467, 1385, 6186, 1467, 54, 4517, 1072, 6332, 1467, 54, 4517, 1072, 6332, 5640, 3759, 16103, 11933, 17361, 5820, 3094, 21486, 1009, 10816, 1059, 16729, 9217, 20271, 17011, 5067, 21159, 1074, 21030, 2098, 11941, 24128, 1283, 14087, 2401, 32, 18671, 2788, 1274, 1018, 7547, 11393, 14247, 2199, 1253, 2604, 7914, 9023, 27751, 4541, 11104, 1460, 11243, 2604, 26647, 1274, 1802, 1, 2800, 12950, 1048, 1006, 1224, 1834, 1096, 1493, 28537, 22312, 1044, 2417, 1072, 7098, 1259, 1202, 1068, 1048, 1299, 2374, 22991, 17885, 1, 9338, 2841, 32, 3047, 7158, 3878, 2677, 2477, 2787, 30492, 1298, 6388, 1026, 3479, 1118, 1261, 1284, 1069, 1028, 2634, 1068, 24990, 1009, 9319, 1152, 8517, 1175, 11532, 1979, 1009, 14818, 6170, 88, 1068, 1006, 13031, 1576, 1637, 1068, 1026, 3284, 2751, 6170, 88, 1068, 1006, 8494, 10432, 17897, 6170, 88, 1068, 8494, 10432, 26294, 6170, 88, 1068, 31235, 1467, 41, 1479, 11532, 1979, 1009, 14818, 13624, 10888, 1458, 29298, 1123, 3920, 5, 643, 14232, 13829, 626, 11009, 1006, 9782, 1060, 7049, 6447, 2995, 1330, 2572, 2848, 2203, 7332, 1054, 1235, 2017, 2868, 12674, 2995, 31056, 32, 3047, 7158, 3878, 2677, 2477, 2787, 30492, 1298, 6388, 1026, 3479, 1118, 1261, 1284, 1069, 1028, 2634, 1068, 24990, 1009, 9319, 5, 3531, 2501, 12256, 1118, 26803, 5217, 2816, 14906, 2477, 2787, 1071, 1363, 73, 1239, 1060, 1116, 29251, 1068, 1006, 1004, 8607, 3692, 2122, 3616, 1620, 2155, 11186, 1493, 3010, 7572, 7158, 22197, 2488, 2695, 1528, 1006, 4734, 1048, 4112, 1814, 1096, 1006, 2511, 1898, 625, 54, 4186, 39, 26129, 4071, 27735, 3083, 18862, 30211, 3776, 11018, 11434, 39, 4826, 5356, 2545, 2818, 22481, 5237, 19897, 7915, 22523, 1180, 6524, 4212, 7915, 58, 3083, 7309, 2053, 16837, 27340, 6767, 57, 2428, 2818, 1082, 22656, 1467, 1082, 22656, 13076, 53, 23704, 7338, 23361, 27813, 9435, 1144, 15642, 1144, 4212, 23361, 1067, 23769, 24460, 3924, 45, 4071, 1926, 7826, 6860, 1067, 5794, 2428, 16162, 52, 14083, 2428, 1833, 13807, 21402, 1163, 39, 4436, 39, 1205, 23297, 22819, 13076, 53, 1205, 23297, 16162, 14732, 19265, 11326, 3083, 2053, 1063, 1082, 22656, 1123, 45, 4127, 7554, 2870, 41, 4414, 39, 25705, 46, 9435, 11076, 23704, 4826, 22268, 1144, 15642, 1084, 6860, 21305, 53, 1144, 4212, 1073, 9753, 2393, 3726, 7915, 58, 3083, 7309, 2053, 2818, 27340, 29482, 9128, 45, 9835, 3482, 43, 13076, 53, 1138, 7817, 64, 2393, 1205, 23297, 1205, 9020, 2053, 22523, 2079, 2581, 39, 30196, 2545, 1205, 3402, 23704, 4826, 2053, 1144, 59, 2545, 1084, 1138, 1082, 22656, 21193, 1205, 23297, 10473, 1138, 23651, 6766, 5462, 23704, 24290, 1467, 45, 21402, 3741, 7463, 2393, 53, 25206, 9036, 1063, 1163, 39, 4436, 39, 21223, 22819, 13076, 53, 21223, 1073, 5356, 13237, 10473, 22481, 5237, 9020, 1063, 1062, 15523, 3107, 19217, 5462, 1123, 8638, 13951, 2805, 7338, 5462, 1067, 5356, 7915, 58, 3083, 54, 2053, 5462, 1082, 22656, 21193, 4127, 1797, 46, 7146, 22268, 1063, 1207, 21402, 6764, 25206, 42, 9399, 1163, 39, 4436, 39, 22819, 1084, 16549, 16519, 47, 22819, 8517, 5881, 22268, 1138, 1082, 22656, 21193, 1205, 3642, 2428, 28880, 3924, 1063, 22959, 45, 2805, 9703, 8562, 5462, 1082, 22656, 8305, 4812, 2393, 13237, 1084, 8883, 29350, 2606, 6125, 2053, 1063, 11884, 14732, 4826, 3402, 6764, 1163, 39, 4436, 39, 16837, 28880, 30307, 27735, 3083, 3726, 2870, 5462, 1082, 22656, 21193, 11029, 1082, 22656, 8305, 4812, 2393, 13237, 5, 6923, 2393, 4212, 2428, 1084, 16549, 18109, 39, 5462, 1082, 22656, 21193, 21305, 53, 2013, 22523, 25206, 45, 2581, 9671, 1144, 4517, 23983, 1059, 2870, 13237, 8883, 17078, 11076, 27340, 6767, 57, 2428, 2818, 1082, 22656, 7988, 3402, 16162, 31902, 2713, 9703, 15104, 25159, 47, 11029, 23486, 13237, 21193, 3576, 3642, 2428, 25206, 1138, 11076, 1138, 1119, 2581, 2982, 42, 11893, 9835, 54, 1073, 2606, 13603, 29695, 13237, 1833, 4233, 3642, 2428, 9622, 14705, 19295, 1063, 24460, 3924, 6764, 1082, 22656, 25160, 13096, 10473, 1084, 10093, 626, 2098, 3352, 10457, 1060, 7158, 1431, 2148, 1117, 7595, 1127, 16688, 2677, 2477, 2787, 30492, 19362, 1731, 1497, 7158, 2293, 3279, 1049, 2709, 4127, 1160, 1298, 6098, 1060, 6947, 5092, 1049, 7927, 7158, 2342, 1100, 1026, 7158, 6220, 10077, 1049, 1572, 21234, 2677, 2477, 2787, 1284, 1079, 1028, 2634, 1068, 1124, 28809, 1009, 1044, 23112, 1317, 1348, 1068, 1006, 8902, 1009, 1044, 2373, 8475, 626, 1009, 1499, 1377, 6232, 1428, 3768, 1153, 1006, 5958, 1005, 7197, 28211, 10240, 1996, 1009, 1058, 4531, 7158, 3836, 13135, 8221, 2567, 8602, 7475, 1124, 5795, 1009, 28211, 5437, 1412, 1068, 1006, 5623, 23268, 20046, 1005, 1687, 1195, 19370, 1006, 17139, 1787, 1213, 3479, 2156, 7082, 1996, 1009, 1224, 3189, 1007, 1178, 9094, 20041, 5721, 2677, 2477, 2787, 1160, 1096, 3048, 1044, 2574, 3630, 32, 19685, 1357, 5065, 1097, 3308, 1034, 1187, 23399, 1060, 9163, 3438, 14, 16, 1349, 2677, 2477, 2787, 1325, 1847, 20093, 1140, 1357, 7271, 18650, 3208, 1159, 1094, 31701, 1009, 9127, 11696, 3316, 25592, 18470, 1148, 1006, 18470, 1148, 1006, 1156, 5922, 3512, 20968, 1457, 4536, 82, 1140, 1054, 9685, 1434, 1587, 1018, 1068, 1261, 6256, 1026, 3479, 7263, 1651, 2477, 1069, 2309, 3361, 11141, 5841, 4087, 5140, 1511, 1587, 1018, 2521, 5795, 9839, 1114, 7298, 1009, 6671, 1273, 5635, 1996, 1009, 1178, 11710, 1140, 7158, 30624, 24326, 1072, 1852, 1009, 18089, 18324, 91, 1114, 2921, 30108, 1231, 5613, 8093, 6264, 1049, 7158, 1561, 1327, 5864, 1678, 1309, 1160, 1327, 1756, 1312, 1233, 15660, 1609, 32, 1054, 3261, 1009, 7905, 23904, 2156, 7082, 1068, 1026, 7927, 7158, 24339, 29771, 14759, 1060, 6285, 3179, 1195, 1481, 1451, 2757, 1986, 1006, 7922, 1009, 1044, 10176, 1009, 1028, 3293, 96, 1357, 7091, 2005, 3965, 5296, 2107, 1379, 1026, 5904, 3784, 1309, 2521, 1006, 1224, 3189, 5304, 7141, 1079, 1118, 6544, 1060, 8263, 1159, 1044, 1211, 1922, 1679, 4101, 1060, 4422, 1049, 7158, 17240, 1048, 1006, 2289, 24811, 2383, 2166, 1200, 30655, 71, 3021, 2628, 13762, 1836, 19685, 1356, 1025, 1388, 1009, 1261, 2281, 2813, 23690, 1009, 1094, 3536, 1049, 9550, 31068, 1844, 1114, 3546, 4643, 1667, 14485, 1592, 1026, 3124, 1009, 1261, 21773, 1026, 26589, 1009, 10453, 3306, 2628, 13762, 14759, 1068, 29771, 6285, 15, 7209, 1026, 1090, 1007, 15904, 6112, 11941, 1045, 2745, 1006, 12168, 1009, 6782, 7514, 1455, 2954, 1036, 1324, 2623, 2029, 1009, 1044, 9624, 1048, 3684, 3012, 1261, 3156, 1069, 1006, 11710, 1377, 3316, 1345, 1014, 1582, 2098, 88, 2477, 2787, 1284, 1079, 1841, 1028, 2634, 1996, 1009, 1178, 7158, 2293, 3279, 1049, 2709, 15502, 12710, 1048, 1687, 22292, 1026, 3479, 1005, 11501, 1043, 1124, 11335, 1009, 1224, 1848, 27701, 3343, 7962, 1013, 3350, 1533, 26887, 1006, 25592, 4137, 1048, 1298, 1169, 6092, 1339, 8357, 1898, 14, 22691, 1665, 3438, 1096, 1026, 3756, 1159, 1006, 7428, 3438, 19202, 1161, 1005, 20693, 1976, 1178, 1927, 6216, 32, 1054, 25407, 3085, 1273, 1068, 15195, 1026, 2950, 1026, 1561, 1096, 1094, 1681, 11412, 1051, 1279, 12149, 1206, 1044, 4284, 25339, 4466, 2132, 10704, 4519, 2086, 3530, 1015, 21512, 1300, 6009, 23892, 14408, 1049, 23927, 1014, 1344, 4566, 9550, 10255, 18, 9550, 4557, 1005, 1744, 2914, 15, 1054, 4732, 1009, 21416, 1009, 25401, 1018, 2555, 60, 1054, 17756, 5132, 14206, 1467, 2838, 1434, 5639, 1898, 1534, 26331, 24245, 15035, 1383, 21707, 14996, 15162, 14499, 4093, 17000, 1072, 1128, 1036, 1245, 88, 1576, 14945, 1797, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 31781, 2491, 1069, 12256, 1054, 2978, 10993, 3228, 2081, 1054, 11532, 79, 8034, 1009, 14818, 1005, 11271, 1159, 9338, 2841, 32, 3047, 7158, 3878, 6698, 18, 7158, 1561, 7218, 17529, 1126, 1181, 2166, 1298, 3215, 1870, 1298, 6388, 1026, 3479, 1118, 1261, 1284, 1069, 1028, 2634, 1068, 24990, 1009, 24452, 1284, 1079, 1043, 1058, 1047, 13141, 4921, 2677, 2477, 2787, 30492, 1067, 5794, 53, 2818, 18109, 2722, 1128, 4503, 5356, 7185, 6594, 20, 13189, 1026, 4941, 1679, 19353, 20, 13492, 1044, 6737, 1059, 643, 14232, 13829, 626, 11009, 1006, 9782, 1060, 7049, 6447, 2995, 1330, 2572, 2848, 2203, 7332, 1054, 1235, 2017, 2868, 12674, 28165, 1044, 6737, 4093, 13386, 1083, 28165, 1006, 1224, 7059, 7, 31758, 1024, 3484, 2503, 19851, 1235, 6737, 2307, 19007, 1013, 1447, 1107, 1132, 1456, 1858, 4331, 1206, 7705, 1054, 1044, 14460, 1068, 4240, 1098, 13778, 4066, 26703, 1602, 5094, 15, 5469, 2473, 4531, 7137, 2999, 1308, 19568, 26703, 1602, 5094, 13312, 1459, 4956, 1325, 3326, 1157, 7575, 1224, 2612, 21159, 1074, 21030, 20, 1071, 2741, 1130, 2135, 18576, 1439, 17541, 2066, 1325, 3326, 1157, 7575, 1224, 2612, 8556, 20, 1071, 2741, 1130, 2135, 18576, 1439, 17541, 2066, 1325, 3326, 1157, 7575, 1224, 2612, 6332, 20, 1071, 2741, 1130, 2135, 18576, 1439, 675, 11781, 6198, 1024, 8018, 29829, 1006, 4925, 89, 1467, 92, 2571, 6027, 1322, 3398, 5812, 1118, 7793, 1533, 92, 2571, 6027, 1322, 3606, 13468, 1118, 7793, 1059, 295, 28625, 1024, 1118, 10568, 1476, 1105, 1130, 4006, 1292, 1066, 2646, 2311, 10735, 23316, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 13758, 1105, 1130, 3836, 5705, 52, 2311, 15097, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 13758, 1105, 1130, 15656, 2311, 25866, 162, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 13758, 1105, 1130, 3584, 17367, 2311, 3584, 4934, 4116, 18005, 10428, 1479, 10535, 10714, 30719, 2995, 2126, 1072, 21159, 1074, 21030, 2098, 11941, 7317, 1005, 9983, 32, 6062, 2788, 11643, 7547, 11393, 4116, 5711, 1006, 2071, 1668, 13407, 1299, 21113, 1043, 1235, 28315, 1, 3713, 1325, 24268, 9597, 13067, 6398, 11490, 10177, 6398, 11248, 10771, 1049, 2956, 6398, 4483, 6398, 3042, 6398, 1119, 1787, 1047, 10771, 9801, 20963, 10536, 27, 1, 21893, 1846, 1009, 2739, 1564, 1016, 1005, 16368, 1273, 1006, 13774, 22690, 3517, 1251, 1065, 1079, 1006, 4561, 2484, 22105, 1037, 8772, 1049, 4813, 8450, 1049, 8605, 1060, 1782, 0, 7569, 1005, 1210, 15824, 1026, 15873, 1009, 6974, 2854, 71, 1118, 22388, 1272, 11055, 3083, 15, 1068, 4581, 1009, 4235, 1009, 10906, 1041, 3983, 1063, 4497, 1096, 3435, 1009, 9782, 1048, 5687, 3068, 9707, 19829, 1349, 1054, 8750, 4334, 44 ]

[ 1330, 1009, 2741, 2789, 31442, 2997, 17778, 7970, 1213, 9383, 1060, 15308, 1007, 1092, 2117, 1005, 1060, 20809, 1049, 2331, 85, 27888, 18, 5639, 6071, 1233, 16051, 1009, 1048, 1094, 5133, 3901, 1657, 1026, 1048, 1096, 7266, 1069, 1118, 1094, 4668, 1009, 5879, 24196, 1006, 6924, 2747, 1589, 1493, 1184, 1049, 1048, 1026, 28468, 7355, 1009, 1720, 1930, 1096, 1098, 1259, 1629, 1048, 1006, 4008, 1009, 14436, 1124, 3469, 1118, 2191, 1009, 2880, 8691, 1233, 3610, 8606, 1094, 9013, 15722, 11150, 22417, 1189, 1629, 1479, 1620, 1184, 1511, 1365, 3592, 3469, 1826, 12415, 2765, 1159, 1428, 5129, 6780, 1005, 3540, 20, 2013, 1043, 2122, 1030, 1262, 3076, 27888, 1048, 1096, 3330, 1026, 8484, 18404, 1006, 1415, 1049, 8484, 3566, 3617, 2656, 4800, 2997, 2612, 1009, 1752, 3820, 1048, 17005, 1044, 2269, 1072, 17353, 1206, 1009, 1752, 3366, 1048, 1058, 1169, 1136, 4050, 1072, 1557, 33, 8261, 1043, 1124, 9783, 4800, 9065, 1637, 5426, 6978, 1005, 12228, 5426, 3540, 20, 1063, 13914, 27888, 1058, 1957, 86, 5892, 1365, 3794, 17549, 1005, 1006, 14198, 1049, 5108, 10275, 1435, 3023, 1005, 7856, 1006, 2122, 2869, 20, 2656, 1305, 20928, 1026, 15044, 1060, 6924, 6210, 11086, 30668, 15731, 1048, 1094, 13250, 1173, 1893, 1271, 1015, 1088, 1020, 1928, 1021, 1161, 6660, 1072, 9568, 3707, 3012, 4480, 1318, 1233, 14712, 1009, 4412, 14301, 1161, 1072, 1784, 1213, 2930, 31910, 3915, 1235, 2729, 20042, 1026, 4545, 1060, 6924, 1195, 4453, 1157, 1233, 2725, 1053, 2404, 1006, 8161, 1009, 29907, 1006, 2042, 1271, 2880, 20, 5011, 1054, 5635, 1184, 1494, 4837, 11897, 1371, 1006, 8274, 11051, 2672, 1187, 23452, 1009, 1871, 1005, 2331, 2484, 8042, 1213, 28278, 18630, 1009, 1094, 4397, 1479, 1006, 1064, 1774, 1031, 23917, 1424, 1006, 11184, 16475, 1112, 1049, 4318, 6819, 1357, 2290, 1060, 6644, 1005, 1060, 16756, 2880, 1596, 4766, 1435, 1005, 2089, 8723, 3398, 1786, 3607, 1009, 3756, 1006, 28386, 1044, 4618, 1184, 4230, 1187, 7002, 30986, 1452, 1726, 4320, 2127, 1436, 33, 1989, 3957, 1009, 4732, 11195, 16926, 3004, 1026, 7051, 1009, 1044, 11223, 2127, 1009, 8274, 1479, 1006, 3501, 23917, 1138, 3435, 1009, 2693, 2122, 15905, 1213, 1448, 1892, 3779, 1049, 21259, 1183, 9361, 1357, 4008, 10343, 8606, 1009, 2997, 1720, 1726, 3469, 1058, 4351, 1679, 4101, 1184, 3940, 4667, 1288, 1006, 1871, 5970, 1049, 1004, 2187, 3335, 1048, 1096, 1026, 4168, 1852, 1049, 18173, 1060, 1064, 1774, 1031, 3656, 5653, 4028, 2097, 1132, 2392, 28508, 1213, 2729, 1187, 31972, 3892, 1412, 2199, 1140, 4022, 1233, 5521, 1213, 7856, 1005, 1233, 2042, 1271, 9783, 1026, 3142, 3707, 1060, 4397, 1058, 4277, 7080, 1155, 31822, 1233, 13307, 27814, 1072, 28278, 18630, 1009, 1235, 3813, 20, 7630, 18, 1365, 12356, 15853, 1159, 8701, 21843, 11433, 8, 1206, 8701, 16133, 1102, 7723, 4767, 2644, 11408, 1149, 1043, 3592, 3056, 20242, 1064, 1774, 1031, 30258, 28019, 1006, 6115, 1213, 7732, 1214, 1187, 15480, 1209, 1406, 1159, 1006, 5231, 4114, 10863, 18, 3449, 18, 1054, 16351, 1044, 2263, 8672, 1213, 24133, 6633, 1603, 1006, 3028, 4044, 13763, 1126, 1009, 2631, 1206, 14983, 1340, 4576, 3473, 4493, 1213, 30773, 1060, 8861, 7989, 1026, 6724, 1213, 15552, 1160, 1225, 9413, 1006, 4022, 8443, 20, 2013, 4556, 1048, 1006, 4639, 1060, 21717, 1043, 1235, 28498, 1061, 1005, 1927, 22189, 28528, 4776, 3904, 2283, 1253, 1435, 1094, 1004, 1470, 1042, 1145, 11174, 1233, 18610, 1005, 1679, 3195, 1060, 1064, 1774, 1031, 3656, 33, 8261, 1058, 27794, 18302, 1005, 5144, 11176, 1132, 8195, 1005, 1006, 18019, 1049, 18173, 18729, 1132, 7841, 3301, 54, 1051, 4887, 2499, 12919, 1072, 9826, 1271, 2880, 1406, 4295, 15632, 4243, 31629, 9725, 1009, 15884, 1213, 10311, 1054, 3902, 1060, 20077, 2275, 15369, 1026, 9937, 4172, 1005, 1009, 1589, 1178, 10239, 1069, 1318, 1213, 26403, 1221, 24133, 1091, 1009, 1044, 15552, 20, 4116, 26420, 31629, 9725, 16068, 32, 5452, 150, 1826, 1132, 18226, 1048, 23009, 1178, 12724, 2100, 4116, 24133, 3017, 7720, 1160, 6105, 12391, 1024, 1006, 21828, 4081, 1009, 1569, 8272, 1072, 2011, 1009, 5470, 1206, 23188, 1044, 29799, 3730, 1208, 1665, 1184, 4236, 1005, 10517, 71, 1124, 2880, 1406, 18144, 1379, 1620, 31629, 9725, 18, 2340, 4088, 2643, 5813, 1061, 2317, 1018, 4781, 1016, 1288, 1006, 10764, 4208, 8358, 2100, 9184, 3137, 1589, 6993, 1026, 1376, 8015, 6119, 1026, 18943, 3142, 1009, 1044, 15552, 2054, 15294, 2464, 1159, 4979, 1026, 1427, 9465, 1005, 1004, 2187, 1024, 1291, 14819, 3953, 11768, 25621, 1064, 1774, 1031, 22337, 1693, 8853, 1645, 1048, 22002, 2350, 1271, 3701, 6852, 1005, 2684, 6834, 1009, 2220, 29103, 2100, 1084, 2349, 1236, 1479, 2306, 4337, 37, 1479, 5593, 1751, 5645, 8045, 20, 1, 4264, 1045, 27266, 1661, 1018, 1341, 2292, 1164, 1198, 15192, 1154, 7698, 2636, 32, 26878, 11330, 1009, 1561, 1175, 19520, 1685, 3341, 1075, 2860, 11330, 2019, 1045, 27266, 2292, 1164, 1198, 15192, 1154, 7698, 8736, 1084, 2412, 11491, 18, 4899, 1139, 22881, 18025, 1383, 4418, 6226, 16206, 1126, 17223, 1009, 9800, 1005, 7896, 1833, 4418, 1408, 1154, 7698, 2636, 1084, 2412, 11491, 4899, 1139, 22881, 18025, 1467, 17421, 3074, 4745, 1435, 2348, 15845, 1114, 2236, 1271, 13835, 3963, 1273, 2449, 4263, 1054, 1094, 2451, 1049, 11223, 29174, 1072, 1428, 9133, 5966, 2271, 15573, 4685, 3074, 15171, 1044, 3066, 3596, 3629, 1043, 3164, 1009, 29277, 14859, 1068, 1026, 2738, 1009, 4229, 2098, 3281, 11250, 17129, 3513, 1005, 4318, 1463, 6815, 4109, 13036, 3273, 1159, 6216, 16206, 1126, 18099, 26651, 11012, 1009, 14265, 9800, 1005, 3324, 1554, 3953, 1109, 2636, 1005, 3902, 1026, 6460, 10881, 1043, 21324, 1005, 3450, 1009, 3159, 6843, 1171, 1065, 1280, 1005, 17976, 1009, 9800, 1005, 7896, 1276, 10887, 1487, 1646, 15512, 1072, 3099, 2019, 1045, 27266, 1276, 8891, 2426, 1033, 1038, 3588, 1069, 1054, 2220, 1026, 5449, 3267, 1276, 46, 26134, 1005, 1072, 1161, 31136, 1114, 16559, 5141, 14836, 8861, 7772, 1672, 7925, 1005, 16858, 1276, 41, 1199, 3554, 2485, 12068, 1005, 11313, 1294, 1184, 4306, 12439, 1005, 10022, 1276, 2099, 31140, 1341, 1018, 15192, 1154, 7698, 2636, 1198, 1561, 2099, 31140, 1341, 1018, 15192, 1154, 7698, 2636, 4878, 1364, 2184, 1084, 2412, 11491, 4878, 1364, 2184, 4899, 1139, 22881, 18025, 1, 22345, 17215, 1058, 8798, 1068, 2360, 1516, 1114, 1134, 23, 1005, 4955, 4526, 15830, 1005, 6658, 1009, 1809, 5727, 1005, 1073, 3870, 96, 1072, 8063, 1152, 3279, 6670, 1152, 1138, 13271, 9723, 1009, 11047, 1006, 17104, 1049, 1561, 1467, 22345, 17215, 7734, 1213, 1784, 1026, 4526, 1048, 2155, 15458, 1006, 3337, 4229, 1060, 12178, 3130, 11014, 9307, 2149, 15640, 1026, 31855, 1996, 3509, 1009, 30270, 4105, 1411, 3904, 1043, 1006, 3513, 1009, 21381, 1073, 3870, 96, 1005, 1026, 5102, 1142, 2918, 1809, 5727, 1068, 8290, 1026, 9361, 1009, 4886, 3722, 1049, 1181, 27404, 18204, 2444, 1072, 10840, 1006, 22345, 17215, 1096, 1006, 1184, 2360, 2759, 1060, 1134, 2023, 1063, 30270, 4105, 1411, 1048, 1558, 1379, 1072, 1901, 4995, 1005, 8930, 5233, 1006, 11718, 1049, 30259, 18376, 1356, 15338, 17514, 27499, 1809, 5727, 18, 11561, 6389, 1009, 9018, 13002, 1005, 9905, 1072, 24425, 1094, 1271, 3145, 5908, 1049, 1181, 27404, 30654, 1294, 4679, 2864, 1620, 1048, 1043, 2017, 22547, 1063, 22345, 17215, 7217, 1235, 18075, 1026, 1123, 54, 28078, 11551, 1026, 15830, 1159, 1359, 14190, 1526, 1005, 13884, 1318, 1026, 6658, 1068, 1006, 3337, 4229, 1060, 1134, 23, 3068, 3232, 1009, 9307, 2149, 15640, 1072, 1908, 4328, 2298, 1009, 27499, 1005, 1142, 2918, 1809, 5727, 1711, 2017, 15504, 1009, 2759, 1009, 21381, 1073, 3870, 96, 1711, 18, 1026, 8063, 20, 1138, 12987, 1048, 13652, 1184, 1009, 6514, 14805, 1229, 1365, 7886, 1005, 24672, 1195, 4949, 1054, 23912, 1533, 2360, 2759, 2155, 6242, 1043, 1791, 21361, 1544, 3145, 20, 1063, 1106, 61, 11151, 2451, 31672, 3829, 1009, 4618, 28176, 20686, 10968, 1159, 16401, 1187, 5635, 1009, 30270, 4105, 2275, 4116, 1235, 6079, 6133, 1006, 6707, 54, 8712, 5732, 1009, 14234, 13143, 2897, 1043, 7689, 1114, 5253, 1005, 6442, 1005, 1043, 4799, 1054, 2494, 1130, 13097, 1803, 1072, 1633, 2087, 2275, 26481, 1026, 1720, 3092, 1049, 4478, 5103, 1006, 1178, 6707, 54, 2029, 22345, 17215, 1833, 1006, 6640, 1187, 21361, 1544, 3145, 1058, 1381, 3863, 1463, 5281, 1049, 2017, 31449, 1551, 26621, 15830, 1294, 4679, 1646, 1118, 2612, 1060, 1106, 61, 11151, 1026, 2550, 2364, 1318, 6698, 1006, 8564, 1060, 6707, 54, 8712, 1155, 6063, 2276, 1026, 6658, 1005, 13378, 1009, 18106, 1213, 29032, 15830, 1704, 4526, 1060, 22345, 17215, 1068, 1006, 3337, 4229, 1060, 1134, 23, 14322, 22345, 17215, 7199, 89, 9702, 1049, 2017, 1720, 1060, 2759, 1596, 17900, 1118, 9584, 4013, 1067, 2112, 76, 1925, 91, 1870, 6680, 1060, 1448, 1302, 3165, 1711, 1986, 1006, 4701, 1009, 5542, 4204, 4190, 1072, 1901, 16326, 3730, 14169, 1508, 1664, 1233, 9743, 1048, 8677, 1094, 2759, 1009, 4614, 1271, 15253, 1175, 1005, 1160, 1225, 3192, 8857, 1043, 9282, 2013, 18, 1114, 17265, 2637, 1048, 24138, 71, 2306, 8677, 32, 22345, 17215, 2100, 1138, 4478, 8253, 1495, 1058, 2920, 3033, 1159, 1142, 13140, 1309, 5404, 1847, 11782, 1981, 1043, 1006, 3190, 7594, 1043, 1006, 1428, 1195, 3092, 3723, 1357, 1134, 3726, 1704, 11852, 1060, 2360, 2759, 22750, 1026, 1712, 1622, 1047, 10268, 1005, 1318, 1006, 1853, 31266, 1026, 1048, 3312, 1044, 6506, 7781, 1291, 1068, 1006, 3337, 1048, 1325, 1118, 3505, 20, 15888, 1508, 1044, 2574, 3460, 1049, 1048, 1901, 16326, 5459, 7541, 1068, 2808, 1800, 1026, 1720, 2939, 1672, 2271, 3383, 5349, 2315, 23719, 1005, 16831, 2940, 20, 7027, 30221, 1006, 9743, 1009, 1048, 8677, 21154, 1005, 1048, 1118, 1616, 4803, 1009, 22345, 17215, 20, 12151, 1663, 3019, 1720, 2637, 6708, 10182, 1068, 1006, 2042, 22957, 7283, 1878, 1177, 1048, 1096, 1044, 1720, 8625, 1599, 1005, 6707, 54, 2029, 1096, 1026, 10840, 2572, 8587, 8356, 1048, 1160, 8677, 1094, 2759, 1009, 22840, 18, 1005, 1841, 1009, 1134, 2023, 1084, 17332, 1184, 21361, 1544, 1006, 4207, 3937, 29598, 1128, 27878, 8272, 3098, 6657, 1005, 2122, 6690, 1058, 1195, 8548, 1679, 21361, 11141, 9072, 4319, 21718, 1159, 9643, 1853, 1114, 9418, 1043, 1132, 3480, 1048, 1225, 1554, 5126, 4910, 9334, 2276, 4319, 1048, 9643, 1184, 1406, 3315, 3205, 1566, 1054, 2468, 1009, 15838, 1679, 1456, 5672, 1166, 6033, 3808, 10946, 1006, 3421, 1019, 1007, 9288, 2569, 3770, 1068, 3062, 1009, 7519, 11993, 1043, 1224, 7779, 1009, 9713, 1252, 1554, 9340, 10931, 1751, 1271, 17741, 1114, 6746, 1049, 1901, 1357, 5042, 1009, 10840, 21381, 1073, 3870, 96, 1005, 1338, 1375, 1056, 1138, 1469, 17156, 12462, 8244, 1452, 1005, 2791, 1412, 1006, 2759, 1054, 22162, 1072, 3747, 1009, 8531, 1892, 17789, 17847, 1043, 15870, 3328, 2058, 1166, 1533, 13752, 1068, 7267, 1006, 5133, 1068, 1006, 1448, 1302, 3165, 8846, 1054, 24571, 25239, 1096, 6311, 3803, 3782, 1566, 5090, 4108, 1356, 10840, 6968, 30270, 1156, 3966, 1068, 6529, 1005, 6718, 1006, 7304, 1159, 22345, 17215, 18, 1048, 9096, 1114, 18675, 1852, 1049, 3810, 7248, 7655, 1124, 5376, 1160, 15119, 1118, 5948, 20, 6836, 1009, 4054, 1043, 1026, 12558, 4906, 1048, 5090, 1224, 5261, 3337, 1043, 1124, 5281, 1049, 31855, 5662, 1620, 1006, 8685, 1009, 1142, 2918, 1809, 5727, 18, 10635, 1060, 10240, 1005, 3419, 1009, 13116, 22446, 1324, 2017, 12403, 1060, 2759, 5721, 1006, 8685, 1049, 2017, 5041, 16205, 1048, 5879, 1054, 9112, 4488, 4205, 1069, 1068, 1006, 22345, 17215, 18, 2289, 9083, 1048, 1006, 2759, 7505, 1068, 1006, 4188, 6672, 1068, 13534, 1024, 1356, 3479, 1060, 1538, 2031, 1106, 2820, 5474, 1463, 6000, 1060, 27597, 20, 4333, 3973, 1005, 7123, 1026, 3479, 1009, 22892, 1739, 1049, 8330, 13, 2793, 14130, 1043, 1006, 30270, 4105, 1411, 6175, 20354, 1060, 22345, 17215, 2098, 3870, 96, 2155, 2247, 1005, 13429, 13980, 9485, 1495, 1592, 1054, 4744, 1043, 1006, 6311, 1140, 22106, 6234, 9997, 3489, 1096, 1493, 13980, 12816, 1213, 2444, 1026, 5512, 1114, 6228, 3057, 4183, 1005, 1511, 1299, 2265, 1026, 3319, 1187, 2813, 3703, 1049, 1181, 27404, 12633, 30460, 1048, 2612, 1043, 3056, 5908, 1005, 3056, 7735, 27284, 1160, 2155, 1178, 29124, 15373, 1461, 5450, 1054, 5115, 2088, 1008, 1628, 1333, 1318, 1005, 1261, 1094, 10009, 19210, 1084, 2246, 1160, 3028, 1944, 4744, 1406, 1054, 1819, 91, 1059, 3255, 5727, 7032, 1233, 2360, 2759, 1846, 1009, 1044, 1901, 10492, 1043, 1006, 10240, 1005, 2143, 1054, 1048, 23976, 1072, 4249, 1049, 24425, 20, 12710, 1357, 22345, 17215, 18, 1026, 3419, 1049, 12403, 3902, 6423, 1213, 31934, 1005, 12952, 3770, 8068, 2271, 1026, 2738, 1049, 1901, 3301, 54, 9997, 1419, 1026, 2950, 4957, 3230, 4319, 3057, 1901, 1005, 1048, 1837, 1094, 6654, 9940, 1114, 7735, 10393, 2276, 1837, 1493, 24482, 20, 4714, 1927, 10860, 2637, 2247, 18, 2276, 4647, 1048, 1668, 24234, 14842 ]

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

[ 1330, 1009, 2741, 2789, 31442, 2997, 17778, 7970, 1213, 9383, 1060, 15308, 1007, 1092, 2117, 1005, 1060, 20809, 1049, 2331, 85, 27888, 18, 5639, 6071, 1233, 16051, 1009, 1048, 1094, 5133, 3901, 1657, 1026, 1048, 1096, 7266, 1069, 1118, 1094, 4668, 1009, 5879, 24196, 1006, 6924, 2747, 1589, 1493, 1184, 1049, 1048, 1026, 28468, 7355, 1009, 1720, 1930, 1096, 1098, 1259, 1629, 1048, 1006, 4008, 1009, 14436, 1124, 3469, 1118, 2191, 1009, 2880, 8691, 1233, 3610, 8606, 1094, 9013, 15722, 11150, 22417, 1189, 1629, 1479, 1620, 1184, 1511, 1365, 3592, 3469, 1826, 12415, 2765, 1159, 1428, 5129, 6780, 1005, 3540, 20, 2013, 1043, 2122, 1030, 1262, 3076, 27888, 1048, 1096, 3330, 1026, 8484, 18404, 1006, 1415, 1049, 8484, 3566, 3617, 2656, 4800, 2997, 2612, 1009, 1752, 3820, 1048, 17005, 1044, 2269, 1072, 17353, 1206, 1009, 1752, 3366, 1048, 1058, 1169, 1136, 4050, 1072, 1557, 33, 8261, 1043, 1124, 9783, 4800, 9065, 1637, 5426, 6978, 1005, 12228, 5426, 3540, 20, 1063, 13914, 27888, 1058, 1957, 86, 5892, 1365, 3794, 17549, 1005, 1006, 14198, 1049, 5108, 10275, 1435, 3023, 1005, 7856, 1006, 2122, 2869, 20, 2656, 1305, 20928, 1026, 15044, 1060, 6924, 6210, 11086, 30668, 15731, 1048, 1094, 13250, 1173, 1893, 1271, 1015, 1088, 1020, 1928, 1021, 1161, 6660, 1072, 9568, 3707, 3012, 4480, 1318, 1233, 14712, 1009, 4412, 14301, 1161, 1072, 1784, 1213, 2930, 31910, 3915, 1235, 2729, 20042, 1026, 4545, 1060, 6924, 1195, 4453, 1157, 1233, 2725, 1053, 2404, 1006, 8161, 1009, 29907, 1006, 2042, 1271, 2880, 20, 5011, 1054, 5635, 1184, 1494, 4837, 11897, 1371, 1006, 8274, 11051, 2672, 1187, 23452, 1009, 1871, 1005, 2331, 2484, 8042, 1213, 28278, 18630, 1009, 1094, 4397, 1479, 1006, 1064, 1774, 1031, 23917, 1424, 1006, 11184, 16475, 1112, 1049, 4318, 6819, 1357, 2290, 1060, 6644, 1005, 1060, 16756, 2880, 1596, 4766, 1435, 1005, 2089, 8723, 3398, 1786, 3607, 1009, 3756, 1006, 28386, 1044, 4618, 1184, 4230, 1187, 7002, 30986, 1452, 1726, 4320, 2127, 1436, 33, 1989, 3957, 1009, 4732, 11195, 16926, 3004, 1026, 7051, 1009, 1044, 11223, 2127, 1009, 8274, 1479, 1006, 3501, 23917, 1138, 3435, 1009, 2693, 2122, 15905, 1213, 1448, 1892, 3779, 1049, 21259, 1183, 9361, 1357, 4008, 10343, 8606, 1009, 2997, 1720, 1726, 3469, 1058, 4351, 1679, 4101, 1184, 3940, 4667, 1288, 1006, 1871, 5970, 1049, 1004, 2187, 3335, 1048, 1096, 1026, 4168, 1852, 1049, 18173, 1060, 1064, 1774, 1031, 3656, 5653, 4028, 2097, 1132, 2392, 28508, 1213, 2729, 1187, 31972, 3892, 1412, 2199, 1140, 4022, 1233, 5521, 1213, 7856, 1005, 1233, 2042, 1271, 9783, 1026, 3142, 3707, 1060, 4397, 1058, 4277, 7080, 1155, 31822, 1233, 13307, 27814, 1072, 28278, 18630, 1009, 1235, 3813, 20, 7630, 18, 1365, 12356, 15853, 1159, 8701, 21843, 11433, 8, 1206, 8701, 16133, 1102, 7723, 4767, 2644, 11408, 1149, 1043, 3592, 3056, 20242, 1064, 1774, 1031, 30258, 28019, 1006, 6115, 1213, 7732, 1214, 1187, 15480, 1209, 1406, 1159, 1006, 5231, 4114, 10863, 18, 3449, 18, 1054, 16351, 1044, 2263, 8672, 1213, 24133, 6633, 1603, 1006, 3028, 4044, 13763, 1126, 1009, 2631, 1206, 14983, 1340, 4576, 3473, 4493, 1213, 30773, 1060, 8861, 7989, 1026, 6724, 1213, 15552, 1160, 1225, 9413, 1006, 4022, 8443, 20, 2013, 4556, 1048, 1006, 4639, 1060, 21717, 1043, 1235, 28498, 1061, 1005, 1927, 22189, 28528, 4776, 3904, 2283, 1253, 1435, 1094, 1004, 1470, 1042, 1145, 11174, 1233, 18610, 1005, 1679, 3195, 1060, 1064, 1774, 1031, 3656, 33, 8261, 1058, 27794, 18302, 1005, 5144, 11176, 1132, 8195, 1005, 1006, 18019, 1049, 18173, 18729, 1132, 7841, 3301, 54, 1051, 4887, 2499, 12919, 1072, 9826, 1271, 2880, 1406, 4295, 15632, 4243, 31629, 9725, 1009, 15884, 1213, 10311, 1054, 3902, 1060, 20077, 2275, 15369, 1026, 9937, 4172, 1005, 1009, 1589, 1178, 10239, 1069, 1318, 1213, 26403, 1221, 24133, 1091, 1009, 1044, 15552, 20, 4116, 26420, 31629, 9725, 16068, 32, 5452, 150, 1826, 1132, 18226, 1048, 23009, 1178, 12724, 2100, 4116, 24133, 3017, 7720, 1160, 6105, 12391, 1024, 1006, 21828, 4081, 1009, 1569, 8272, 1072, 2011, 1009, 5470, 1206, 23188, 1044, 29799, 3730, 1208, 1665, 1184, 4236, 1005, 10517, 71, 1124, 2880, 1406, 18144, 1379, 1620, 31629, 9725, 18, 2340, 4088, 2643, 5813, 1061, 2317, 1018, 4781, 1016, 1288, 1006, 10764, 4208, 8358, 2100, 9184, 3137, 1589, 6993, 1026, 1376, 8015, 6119, 1026, 18943, 3142, 1009, 1044, 15552, 2054, 15294, 2464, 1159, 4979, 1026, 1427, 9465, 1005, 1004, 2187, 1024, 1291, 14819, 3953, 11768, 25621, 1064, 1774, 1031, 22337, 1693, 8853, 1645, 1048, 22002, 2350, 1271, 3701, 6852, 1005, 2684, 6834, 1009, 2220, 29103, 2100, 1084, 2349, 1236, 1479, 2306, 4337, 37, 1479, 5593, 1751, 5645, 8045, 20, 1, 4264, 1045, 27266, 1661, 1018, 1341, 2292, 1164, 1198, 15192, 1154, 7698, 2636, 32, 26878, 11330, 1009, 1561, 1175, 19520, 1685, 3341, 1075, 2860, 11330, 2019, 1045, 27266, 2292, 1164, 1198, 15192, 1154, 7698, 8736, 1084, 2412, 11491, 18, 4899, 1139, 22881, 18025, 1383, 4418, 6226, 16206, 1126, 17223, 1009, 9800, 1005, 7896, 1833, 4418, 1408, 1154, 7698, 2636, 1084, 2412, 11491, 4899, 1139, 22881, 18025, 1467, 17421, 3074, 4745, 1435, 2348, 15845, 1114, 2236, 1271, 13835, 3963, 1273, 2449, 4263, 1054, 1094, 2451, 1049, 11223, 29174, 1072, 1428, 9133, 5966, 2271, 15573, 4685, 3074, 15171, 1044, 3066, 3596, 3629, 1043, 3164, 1009, 29277, 14859, 1068, 1026, 2738, 1009, 4229, 2098, 3281, 11250, 17129, 3513, 1005, 4318, 1463, 6815, 4109, 13036, 3273, 1159, 6216, 16206, 1126, 18099, 26651, 11012, 1009, 14265, 9800, 1005, 3324, 1554, 3953, 1109, 2636, 1005, 3902, 1026, 6460, 10881, 1043, 21324, 1005, 3450, 1009, 3159, 6843, 1171, 1065, 1280, 1005, 17976, 1009, 9800, 1005, 7896, 1276, 10887, 1487, 1646, 15512, 1072, 3099, 2019, 1045, 27266, 1276, 8891, 2426, 1033, 1038, 3588, 1069, 1054, 2220, 1026, 5449, 3267, 1276, 46, 26134, 1005, 1072, 1161, 31136, 1114, 16559, 5141, 14836, 8861, 7772, 1672, 7925, 1005, 16858, 1276, 41, 1199, 3554, 2485, 12068, 1005, 11313, 1294, 1184, 4306, 12439, 1005, 10022, 1276, 2099, 31140, 1341, 1018, 15192, 1154, 7698, 2636, 1198, 1561, 2099, 31140, 1341, 1018, 15192, 1154, 7698, 2636, 4878, 1364, 2184, 1084, 2412, 11491, 4878, 1364, 2184, 4899, 1139, 22881, 18025, 1, 22345, 17215, 1058, 8798, 1068, 2360, 1516, 1114, 1134, 23, 1005, 4955, 4526, 15830, 1005, 6658, 1009, 1809, 5727, 1005, 1073, 3870, 96, 1072, 8063, 1152, 3279, 6670, 1152, 1138, 13271, 9723, 1009, 11047, 1006, 17104, 1049, 1561, 1467, 22345, 17215, 7734, 1213, 1784, 1026, 4526, 1048, 2155, 15458, 1006, 3337, 4229, 1060, 12178, 3130, 11014, 9307, 2149, 15640, 1026, 31855, 1996, 3509, 1009, 30270, 4105, 1411, 3904, 1043, 1006, 3513, 1009, 21381, 1073, 3870, 96, 1005, 1026, 5102, 1142, 2918, 1809, 5727, 1068, 8290, 1026, 9361, 1009, 4886, 3722, 1049, 1181, 27404, 18204, 2444, 1072, 10840, 1006, 22345, 17215, 1096, 1006, 1184, 2360, 2759, 1060, 1134, 2023, 1063, 30270, 4105, 1411, 1048, 1558, 1379, 1072, 1901, 4995, 1005, 8930, 5233, 1006, 11718, 1049, 30259, 18376, 1356, 15338, 17514, 27499, 1809, 5727, 18, 11561, 6389, 1009, 9018, 13002, 1005, 9905, 1072, 24425, 1094, 1271, 3145, 5908, 1049, 1181, 27404, 30654, 1294, 4679, 2864, 1620, 1048, 1043, 2017, 22547, 1063, 22345, 17215, 7217, 1235, 18075, 1026, 1123, 54, 28078, 11551, 1026, 15830, 1159, 1359, 14190, 1526, 1005, 13884, 1318, 1026, 6658, 1068, 1006, 3337, 4229, 1060, 1134, 23, 3068, 3232, 1009, 9307, 2149, 15640, 1072, 1908, 4328, 2298, 1009, 27499, 1005, 1142, 2918, 1809, 5727, 1711, 2017, 15504, 1009, 2759, 1009, 21381, 1073, 3870, 96, 1711, 18, 1026, 8063, 20, 1138, 12987, 1048, 13652, 1184, 1009, 6514, 14805, 1229, 1365, 7886, 1005, 24672, 1195, 4949, 1054, 23912, 1533, 2360, 2759, 2155, 6242, 1043, 1791, 21361, 1544, 3145, 20, 1063, 1106, 61, 11151, 2451, 31672, 3829, 1009, 4618, 28176, 20686, 10968, 1159, 16401, 1187, 5635, 1009, 30270, 4105, 2275, 4116, 1235, 6079, 6133, 1006, 6707, 54, 8712, 5732, 1009, 14234, 13143, 2897, 1043, 7689, 1114, 5253, 1005, 6442, 1005, 1043, 4799, 1054, 2494, 1130, 13097, 1803, 1072, 1633, 2087, 2275, 26481, 1026, 1720, 3092, 1049, 4478, 5103, 1006, 1178, 6707, 54, 2029, 22345, 17215, 1833, 1006, 6640, 1187, 21361, 1544, 3145, 1058, 1381, 3863, 1463, 5281, 1049, 2017, 31449, 1551, 26621, 15830, 1294, 4679, 1646, 1118, 2612, 1060, 1106, 61, 11151, 1026, 2550, 2364, 1318, 6698, 1006, 8564, 1060, 6707, 54, 8712, 1155, 6063, 2276, 1026, 6658, 1005, 13378, 1009, 18106, 1213, 29032, 15830, 1704, 4526, 1060, 22345, 17215, 1068, 1006, 3337, 4229, 1060, 1134, 23, 14322, 22345, 17215, 7199, 89, 9702, 1049, 2017, 1720, 1060, 2759, 1596, 17900, 1118, 9584, 4013, 1067, 2112, 76, 1925, 91, 1870, 6680, 1060, 1448, 1302, 3165, 1711, 1986, 1006, 4701, 1009, 5542, 4204, 4190, 1072, 1901, 16326, 3730, 14169, 1508, 1664, 1233, 9743, 1048, 8677, 1094, 2759, 1009, 4614, 1271, 15253, 1175, 1005, 1160, 1225, 3192, 8857, 1043, 9282, 2013, 18, 1114, 17265, 2637, 1048, 24138, 71, 2306, 8677, 32, 22345, 17215, 2100, 1138, 4478, 8253, 1495, 1058, 2920, 3033, 1159, 1142, 13140, 1309, 5404, 1847, 11782, 1981, 1043, 1006, 3190, 7594, 1043, 1006, 1428, 1195, 3092, 3723, 1357, 1134, 3726, 1704, 11852, 1060, 2360, 2759, 22750, 1026, 1712, 1622, 1047, 10268, 1005, 1318, 1006, 1853, 31266, 1026, 1048, 3312, 1044, 6506, 7781, 1291, 1068, 1006, 3337, 1048, 1325, 1118, 3505, 20, 15888, 1508, 1044, 2574, 3460, 1049, 1048, 1901, 16326, 5459, 7541, 1068, 2808, 1800, 1026, 1720, 2939, 1672, 2271, 3383, 5349, 2315, 23719, 1005, 16831, 2940, 20, 7027, 30221, 1006, 9743, 1009, 1048, 8677, 21154, 1005, 1048, 1118, 1616, 4803, 1009, 22345, 17215, 20, 12151, 1663, 3019, 1720, 2637, 6708, 10182, 1068, 1006, 2042, 22957, 7283, 1878, 1177, 1048, 1096, 1044, 1720, 8625, 1599, 1005, 6707, 54, 2029, 1096, 1026, 10840, 2572, 8587, 8356, 1048, 1160, 8677, 1094, 2759, 1009, 22840, 18, 1005, 1841, 1009, 1134, 2023, 1084, 17332, 1184, 21361, 1544, 1006, 4207, 3937, 29598, 1128, 27878, 8272, 3098, 6657, 1005, 2122, 6690, 1058, 1195, 8548, 1679, 21361, 11141, 9072, 4319, 21718, 1159, 9643, 1853, 1114, 9418, 1043, 1132, 3480, 1048, 1225, 1554, 5126, 4910, 9334, 2276, 4319, 1048, 9643, 1184, 1406, 3315, 3205, 1566, 1054, 2468, 1009, 15838, 1679, 1456, 5672, 1166, 6033, 3808, 10946, 1006, 3421, 1019, 1007, 9288, 2569, 3770, 1068, 3062, 1009, 7519, 11993, 1043, 1224, 7779, 1009, 9713, 1252, 1554, 9340, 10931, 1751, 1271, 17741, 1114, 6746, 1049, 1901, 1357, 5042, 1009, 10840, 21381, 1073, 3870, 96, 1005, 1338, 1375, 1056, 1138, 1469, 17156, 12462, 8244, 1452, 1005, 2791, 1412, 1006, 2759, 1054, 22162, 1072, 3747, 1009, 8531, 1892, 17789, 17847, 1043, 15870, 3328, 2058, 1166, 1533, 13752, 1068, 7267, 1006, 5133, 1068, 1006, 1448, 1302, 3165, 8846, 1054, 24571, 25239, 1096, 6311, 3803, 3782, 1566, 5090, 4108, 1356, 10840, 6968, 30270, 1156, 3966, 1068, 6529, 1005, 6718, 1006, 7304, 1159, 22345, 17215, 18, 1048, 9096, 1114, 18675, 1852, 1049, 3810, 7248, 7655, 1124, 5376, 1160, 15119, 1118, 5948, 20, 6836, 1009, 4054, 1043, 1026, 12558, 4906, 1048, 5090, 1224, 5261, 3337, 1043, 1124, 5281, 1049, 31855, 5662, 1620, 1006, 8685, 1009, 1142, 2918, 1809, 5727, 18, 10635, 1060, 10240, 1005, 3419, 1009, 13116, 22446, 1324, 2017, 12403, 1060, 2759, 5721, 1006, 8685, 1049, 2017, 5041, 16205, 1048, 5879, 1054, 9112, 4488, 4205, 1069, 1068, 1006, 22345, 17215, 18, 2289, 9083, 1048, 1006, 2759, 7505, 1068, 1006, 4188, 6672, 1068, 13534, 1024, 1356, 3479, 1060, 1538, 2031, 1106, 2820, 5474, 1463, 6000, 1060, 27597, 20, 4333, 3973, 1005, 7123, 1026, 3479, 1009, 22892, 1739, 1049, 8330, 13, 2793, 14130, 1043, 1006, 30270, 4105, 1411, 6175, 20354, 1060, 22345, 17215, 2098, 3870, 96, 2155, 2247, 1005, 13429, 13980, 9485, 1495, 1592, 1054, 4744, 1043, 1006, 6311, 1140, 22106, 6234, 9997, 3489, 1096, 1493, 13980, 12816, 1213, 2444, 1026, 5512, 1114, 6228, 3057, 4183, 1005, 1511, 1299, 2265, 1026, 3319, 1187, 2813, 3703, 1049, 1181, 27404, 12633, 30460, 1048, 2612, 1043, 3056, 5908, 1005, 3056, 7735, 27284, 1160, 2155, 1178, 29124, 15373, 1461, 5450, 1054, 5115, 2088, 1008, 1628, 1333, 1318, 1005, 1261, 1094, 10009, 19210, 1084, 2246, 1160, 3028, 1944, 4744, 1406, 1054, 1819, 91, 1059, 3255, 5727, 7032, 1233, 2360, 2759, 1846, 1009, 1044, 1901, 10492, 1043, 1006, 10240, 1005, 2143, 1054, 1048, 23976, 1072, 4249, 1049, 24425, 20, 12710, 1357, 22345, 17215, 18, 1026, 3419, 1049, 12403, 3902, 6423, 1213, 31934, 1005, 12952, 3770, 8068, 2271, 1026, 2738, 1049, 1901, 3301, 54, 9997, 1419, 1026, 2950, 4957, 3230, 4319, 3057, 1901, 1005, 1048, 1837, 1094, 6654, 9940, 1114, 7735, 10393, 2276, 1837, 1493, 24482, 20, 4714, 1927, 10860, 2637, 2247, 18, 2276, 4647, 1048, 1668, 24234, 14842 ]

[ 2447, 3482, 1079, 1094, 5097, 3336, 1119, 1477, 1927, 2289, 1233, 10421, 1005, 1009, 1871, 5864, 2098, 2836, 1011, 4432, 18, 2340, 20, 5139, 1160, 21013, 2289, 1118, 1160, 1178, 2133, 1896, 4345, 1704, 1222, 1325, 2307, 8701, 2863, 8, 3900, 3430, 10913, 3228, 2471, 14248, 4368, 5207, 25148, 30330, 1973, 28772, 5738, 1616, 1009, 3754, 1048, 1596, 1124, 10325, 17458, 1016, 1048, 1009, 22416, 2289, 1006, 6388, 1620, 1096, 1184, 1155, 1843, 1021, 1526, 30385, 3586, 1233, 2540, 1009, 16027, 18091, 8422, 21323, 1048, 1124, 1150, 9785, 17458, 30434, 26875, 37, 5139, 2284, 4928, 27966, 7278, 3194, 1400, 3542, 15987, 3687, 1012, 2001, 3900, 4801, 2073, 10902, 25208, 1233, 4272, 17750, 11217, 3689, 1178, 1311, 3287, 1032, 10686, 2309, 1026, 17550, 1006, 2122, 4272, 27351, 1992, 16752, 1009, 2317, 4776, 2276, 9825, 1292, 1309, 2829, 8134, 9938, 88, 24512, 2656, 1096, 1173, 13196, 1526, 3819, 1377, 10077, 1356, 7462, 20, 2013, 1184, 6443, 1620, 20, 14744, 88, 3342, 1160, 5036, 23676, 3048, 2643, 3192, 1048, 1663, 8333, 1058, 4451, 23974, 1482, 19289, 1620, 1516, 1159, 1026, 18734, 1482, 1557, 1009, 3781, 1160, 1096, 2481, 1833, 1007, 2631, 1048, 1006, 15279, 1346, 6990, 1058, 5348, 1053, 7765, 2429, 1801, 1461, 2246, 17222, 4597, 1026, 2822, 1048, 16092, 20, 5139, 1096, 1592, 11186, 6892, 1043, 1026, 1908, 2875, 5288, 1225, 2073, 5085, 1357, 15131, 20, 24231, 14094, 1026, 1048, 4343, 1663, 9935, 12945, 1068, 1026, 17538, 27207, 1068, 1026, 11692, 5052, 1068, 1006, 29495, 5897, 1005, 1068, 1026, 9391, 1048, 1132, 1415, 7043, 14013, 1096, 1048, 1160, 1058, 1765, 1529, 1517, 27840, 2364, 37, 5139, 1096, 1048, 3062, 1826, 1006, 1663, 37, 1063, 30280, 6596, 88, 8, 29673, 37, 7496, 1006, 1718, 91, 9234, 2277, 1124, 13463, 1009, 14654, 37, 8295, 1124, 1614, 1706, 5129, 2364, 3900, 2959, 1160, 1096, 13020, 4578, 4982, 2122, 4380, 1195, 5381, 2335, 20, 1084, 9241, 1068, 1311, 3287, 1032, 6160, 9938, 88, 3342, 1048, 1846, 1596, 2620, 1166, 2691, 1150, 9785, 17458, 30434, 13070, 9367, 4929, 1664, 1006, 6622, 1006, 9938, 1789, 1324, 1006, 1372, 1022, 25061, 96, 1005, 1026, 20176, 14358, 1187, 19762, 3226, 3430, 10913, 3228, 2471, 14248, 6259, 5207, 25148, 30330, 1973, 1256, 11207, 6737, 1195, 26025, 1356, 2566, 1059, 3430, 10913, 3228, 2471, 14248, 6259, 5207, 5, 96, 1270, 1434, 1973, 1256, 9493, 7482, 1216, 1041, 13131, 1049, 2011, 1048, 1026, 3236, 1381, 7655, 3048, 1026, 3236, 1225, 2333, 1034, 1009, 14998, 1526, 7297, 1044, 2011, 1009, 4981, 1048, 1264, 1381, 18, 1996, 1009, 8435, 1168, 1007, 1264, 3266, 6889, 2367, 1100, 2742, 1159, 1264, 31604, 1160, 1058, 1884, 3387, 2306, 1566, 4337, 1026, 1048, 2572, 5470, 1005, 5662, 1026, 1048, 2572, 1419, 6889, 3192, 1323, 18454, 1393, 9791, 1006, 1150, 1469, 22927, 1448, 1528, 15803, 2100, 7669, 1663, 6627, 1009, 3764, 1352, 6788, 1323, 1413, 1660, 1648, 1096, 2924, 3616, 19, 14239, 4108, 3484, 1005, 1060, 1807, 1059, 3430, 10913, 3228, 2471, 14248, 5871, 5207, 5, 96, 1270, 1434, 1973, 1256, 7655, 7673, 2383, 7104, 1395, 13691, 1005, 22903, 2166, 1160, 2449, 2246, 3048, 5192, 1043, 2306, 1006, 3012, 1261, 27956, 10486, 14495, 1054, 1048, 1026, 1957, 7440, 5009, 1096, 1048, 11331, 1079, 1006, 30880, 1213, 2277, 10221, 2383, 2923, 1704, 1007, 1503, 3611, 1077, 20559, 2656, 3880, 4672, 18541, 1124, 13436, 1006, 2444, 1048, 9545, 3118, 1103, 2238, 1005, 16742, 1160, 16092, 1006, 5865, 17414, 19490, 1059, 3430, 10913, 3228, 2471, 14248, 2704, 5207, 25148, 30330, 1973, 28772, 86, 150, 4344, 2079, 1270, 7699, 7009, 6027, 3062, 1309, 1096, 1006, 4982, 1005, 1726, 12600, 7, 25906, 1233, 3349, 3897, 6153, 20, 7596, 1048, 16027, 37, 2358, 1517, 1412, 1664, 1044, 14364, 1531, 1005, 18212, 1009, 1698, 1026, 5731, 4331, 18091, 4354, 9624, 1009, 2956, 1096, 1094, 28351, 1118, 8859, 7358, 11525, 1044, 9624, 1009, 12343, 14161, 5756, 28351, 3482, 168, 1058, 5632, 1009, 3291, 2306, 1376, 86, 6606, 1005, 20874, 20, 1084, 2306, 14779, 1026, 3435, 3987, 12019, 16130, 1196, 1225, 2220, 1026, 3282, 1005, 1026, 3244, 1009, 3291, 1833, 1118, 2693, 1006, 4614, 1124, 18364, 1787, 1068, 1026, 2790, 1005, 1160, 16735, 1009, 1150, 1133, 4838, 8, 1096, 1048, 1058, 1011, 18771, 26818, 1620, 1159, 26818, 1059, 3430, 10913, 3228, 2471, 14248, 5003, 5207, 5, 96, 1270, 1434, 1973, 27214, 2334, 1096, 1094, 28351, 1833, 1298, 1261, 1124, 7697, 1394, 1184, 1043, 1279, 2447, 3812, 2315, 8512, 14211, 5816, 6889, 2367, 1100, 5573, 1048, 1026, 1808, 85, 1054, 5545, 4355, 158, 1160, 1058, 24595, 1059, 3430, 10913, 3228, 2471, 14098, 1839, 5207, 5, 96, 1270, 1434, 1973, 23232, 1013, 1047, 1048, 3065, 2682, 3048, 1058, 1298, 7726, 14475, 1078, 1292, 1009, 2956, 8, 1206, 11485, 18566, 1044, 28743, 4376, 5051, 1704, 8330, 5140, 21142, 11354, 1202, 1026, 16679, 41, 1043, 1044, 28743, 4376, 5051, 1005, 7697, 1394, 1048, 14646, 1261, 1044, 19541, 1009, 4249, 18154, 1309, 1043, 9200, 1184, 1043, 1279, 3342, 4578, 1616, 1160, 1096, 4230, 28351, 8293, 8386, 1118, 5298, 28152, 3534, 1040, 5192, 2306, 11217, 8307, 2668, 1094, 1472, 1048, 1026, 23409, 5854, 3478, 26096, 1006, 5042, 15, 1833, 3048, 5192, 1026, 1048, 1096, 1048, 1516, 4230, 1178, 2533, 1667, 5011, 2364, 2098, 1165, 1412, 1026, 16027, 37, 1006, 4701, 1187, 20093, 1166, 1187, 5634, 4543, 8057, 31930, 1005, 31014, 3098, 13596, 4701, 1009, 25177, 3900, 75, 28057, 1208, 78, 23635, 10913, 3228, 2471, 14098, 3452, 5207, 5, 96, 1270, 1434, 1973, 1256, 6033, 2922, 2533, 1412, 1132, 5494, 6627, 1347, 1043, 1011, 1753, 1010, 1114, 4786, 5, 9497, 78, 80, 28057, 3996, 11346, 1094, 6672, 1030, 1010, 1022, 2238, 3121, 1213, 5832, 1048, 2742, 6409, 9207, 1533, 3969, 1048, 1026, 2956, 6969, 19, 1026, 6218, 1870, 2257, 1184, 5832, 1048, 1006, 2779, 2257, 3615, 1059, 3430, 10913, 3228, 2471, 14098, 2708, 5207, 25148, 30330, 1973, 1256, 7655, 2306, 1096, 1048, 6701, 1054, 25231, 37, 2605, 1927, 3684, 2615, 8866, 1009, 1571, 15622, 1026, 3453, 1049, 7822, 1005, 1049, 6307, 37, 7669, 1187, 3861, 1573, 12945, 37, 16314, 1044, 9624, 1009, 18529, 1551, 86, 7709, 1371, 1006, 4272, 12008, 1005, 11897, 1371, 2924, 6889, 2367, 1100, 1160, 21013, 3048, 2598, 1973, 1048, 1006, 31930, 1206, 1344, 77, 72, 1096, 1048, 5588, 3591, 1069, 1124, 3469, 28592, 6492, 1058, 1124, 28767, 5588, 4961, 1072, 12091, 1202, 1024, 1213, 3311, 1009, 12228, 1005, 25231, 3062, 1026, 8359, 5120, 1998, 1058, 10023, 5752, 86, 1402, 1096, 1048, 1160, 2159, 2241, 1054, 6544, 1009, 1664, 18508, 1050, 19815, 1048, 10985, 14646, 1178, 13479, 1114, 2093, 88, 7249, 1802, 1063, 6973, 3373, 1076, 1187, 11345, 1009, 2813, 7142, 1043, 1132, 11471, 9363, 1054, 1472, 1009, 1058, 10985, 1026, 1266, 18, 1657, 18763, 1589, 5639, 6135, 1998, 1044, 1240, 72, 1087, 1061, 14128, 1044, 9624, 1009, 2497, 1305, 10995, 1026, 1531, 20185, 9690, 3628, 2306, 9090, 1068, 1026, 1622, 1005, 16703, 1124, 28767, 1009, 1048, 10592, 21823, 27219, 1178, 8580, 7425, 7029, 2021, 7913, 1118, 3018, 1679, 1791, 4208, 10828, 7467, 6556, 1048, 1026, 12091, 1202, 1024, 4219, 1365, 26687, 4567, 1058, 16710, 6802, 1009, 1026, 4651, 3144, 2605, 1566, 1160, 3194, 1393, 1679, 3252, 9628, 1118, 3018, 1048, 3032, 1710, 16166, 1060, 21520, 4911, 11838, 8333, 1261, 1054, 2612, 5639, 1096, 11784, 1026, 4461, 1009, 1663, 1026, 9624, 1009, 2497, 2730, 1531, 1005, 1072, 2511, 4480, 1043, 18734, 5011, 1160, 25901, 1054, 3727, 6889, 2367, 1100, 1054, 2869, 1679, 1011, 1753, 1229, 18095, 1381, 2574, 7655, 1009, 1837, 2256, 1646, 1068, 11270, 1048, 1058, 1225, 4947, 1048, 1663, 1616, 1005, 1030, 9249, 1054, 2612, 1096, 3616, 1359, 1092, 18498, 1294, 23676, 1009, 2497, 1150, 25521, 4342, 1391, 2100, 2656, 1327, 1011, 1753, 1010, 1309, 1327, 1124, 20907, 1006, 8322, 1026, 3563, 1009, 6392, 20, 3782, 8935, 1068, 13275, 1124, 9913, 3316, 1472, 3332, 5006, 18413, 1054, 25175, 1132, 1460, 1041, 1544, 19639, 1096, 26307, 8287, 2079, 1270, 20165, 6218, 1034, 1160, 1026, 1178, 1114, 15207, 1160, 1058, 3158, 2605, 3004, 25763, 24427, 1118, 9584, 1266, 1206, 3217, 6561, 1005, 2155, 1419, 1059, 3430, 10913, 3228, 2471, 1984, 24987, 5207, 5, 96, 1270, 1434, 1973, 1256, 3915, 6442, 1841, 20, 6202, 21209, 1048, 1006, 31930, 1005, 1006, 1228, 16434, 89, 2159, 1412, 1118, 3062, 1006, 25231, 1704, 9624, 1049, 2971, 1009, 8108, 18, 1160, 5653, 91, 87, 75, 3048, 5756, 15593, 9624, 2453, 1049, 2956, 8333, 5756, 12108, 5597, 2184, 1229, 1160, 2284, 1044, 3872, 5098, 1068, 11146, 8623, 1451, 1130, 1026, 6168, 1060, 16727, 3048, 1026, 5019, 2875, 1140, 1009, 3192, 25747, 5639, 1160, 1195, 1044, 9624, 1009, 2956, 1048, 1760, 1993, 1009, 1738, 18037, 1112, 12531, 1206, 17312, 1439, 12372, 31627, 1068, 1009, 1266, 2306, 4118, 1393, 3812, 1769, 1026, 1048, 30175, 5738, 1841, 7655, 1616, 1195, 1026, 16679, 17388, 2656, 1596, 3062, 1132, 1008, 2812, 2137, 1333, 1049, 1082, 1926, 1704, 2868, 1049, 1082, 1926, 1516, 1094, 1030, 1010, 1022, 13854, 1144, 21175, 26521, 7770, 1272, 11217, 5348, 1122, 1130, 10495, 1833, 2203, 13047, 1159, 3027, 1118, 8551, 2095, 1006, 2921, 3271, 1048, 1026, 15596, 1362, 1058, 11902, 1009, 7726, 1068, 4125, 1008, 11230, 1048, 2257, 8630, 5613, 3469, 1118, 11270, 16061, 1006, 1178, 1927, 1184, 1030, 1010, 4753, 1048, 1294, 1734, 6453, 5653, 1616, 1096, 1048, 3048, 1487, 1910, 2950, 1184, 7780, 1910, 1043, 5472, 1112, 8405, 1291, 2875, 2473, 16382, 9022, 16548, 20, 1128, 27878, 1657, 1094, 3781, 1048, 6409, 9207, 1054, 2073, 1908, 31556, 1059, 3430, 10913, 3228, 2471, 2182, 27778, 5207, 5, 96, 1270, 1434, 1973, 1256, 7655, 1616, 1288, 10006, 1068, 5265, 14735, 1005, 3062, 2979, 5639, 5747, 1992, 1006, 18956, 1048, 2979, 1009, 4180, 7550, 1026, 3236, 1566, 7734, 18, 1118, 2220, 1026, 6079, 1114, 15004, 1126, 1026, 2971, 1009, 11018, 72, 1943, 1195, 4947, 1043, 8811, 4101, 25747, 3048, 5192, 1048, 1210, 1958, 4159, 13001, 1006, 31930, 1005, 1184, 1026, 1344, 18000, 1009, 9507, 15359, 1068, 1006, 5253, 27389, 28057, 28057, 1208, 23635, 10913, 3228, 2471, 2182, 24646, 5207, 5, 96, 1270, 1434, 1973, 3226, 124, 76, 3087, 1841, 20, 1063, 31406, 1081, 1990, 1841, 5653, 5948, 5756, 2289, 1005, 1184, 3473, 3616, 1005, 24576, 1048, 1006, 1184, 3473, 3616, 5543, 27468, 1278, 1294, 2712, 1894, 1049, 5083, 24012, 1348, 1060, 14769, 1199, 8, 8530, 1030, 10733, 1048, 1006, 2779, 1495, 6240, 1034, 22290, 1096, 1048, 19741, 1081, 1437, 1034, 1026, 13440, 15055, 1996, 1009, 1264, 12883, 1024, 1741, 1331, 71, 1049, 16679, 41, 23018, 1485, 2682, 6082, 8333, 1516, 15877, 1009, 3192, 19, 2656, 2521, 2073, 9624, 1009, 2956, 3021, 1500, 2923, 1114, 16269, 1159, 1114, 28773, 2507, 1126, 1068, 12190, 5877, 7225, 1005, 1068, 1058, 4531, 2696, 20368, 1043, 20703, 1027, 1005, 6847, 2533, 1016, 1687, 5007, 1059, 3430, 10913, 3228, 2471, 2182, 24383, 5207, 5, 96, 1270, 1434, 1973, 19007, 20659, 19, 1160, 1058, 10388, 7709, 6320, 17750, 1068, 1073, 170, 88, 2924, 1533, 4380, 1096, 1592, 2122, 2904, 1214, 3022, 2793, 1957, 2300, 2095, 2246, 1026, 1622, 9564, 1114, 2296, 1377, 2007, 47, 5455, 1160, 1096, 1044, 9624, 1009, 2956, 1005, 3048, 15593, 1043, 1989, 1622, 1703, 2876, 1114, 6586, 5756, 13010, 8333, 1058, 4038, 10449, 2656, 5756, 16797, 2223, 2656, 5756, 8797, 8989, 4697, 1833, 1006, 1048, 5756, 1096, 1159, 1026, 3236, 2612, 19, 3661, 12190, 18661, 92, 3238, 8, 1048, 1318, 8097, 27966, 2227, 1833, 17393, 28514, 1059, 3430, 10913, 3228, 2471, 14115, 2830, 5207, 5, 96, 1270, 1434, 1973, 3226, 132, 1008, 3893, 1132, 1011, 1753, 1010, 9133, 2574, 2246, 1160, 3100, 3010, 13617, 1005, 1050, 1803, 30542, 3062, 2904, 1052, 15904, 1205, 3677, 16381, 1118, 5470, 1005, 6993, 1201, 3144, 2654, 3154, 79, 1533, 17233, 1079, 1006, 22192, 9894, 1187, 6627, 1347, 1043, 1011, 1753, 1010, 1114, 15737, 21929, 2309, 6307, 1005, 1356, 7822, 54, 8333, 1155, 1810, 1054, 1210, 1958, 8747, 1059, 3430, 10913, 3228, 2471, 14115, 3487, 5207, 3576, 1070, 1444, 79, 1973, 1256, 7655, 1927, 3684, 2615, 8866, 1009, 1571, 15622, 1026, 3453, 1049, 7822, 1005, 1049, 6307, 37, 3008, 2648, 3174, 1239, 5504, 1420, 78, 1171, 1021, 25382, 2564, 1048, 1195, 1094, 13010, 27137, 2309, 1009, 2979, 9346, 1271, 4029, 18270, 1048, 1006, 1172, 1333, 18553, 1294, 4145, 1096, 1048, 1124, 22903, 1394, 30260, 16823, 1927, 1118, 2453, 1005, 3032, 1159, 1058, 4337, 4513, 1393, 1132, 16250, 1072, 12091, 1202, 3144, 1766, 1211, 3703, 17418, 1043, 1026, 3790, 1187, 14654, 2791, 1412, 1044, 2822, 1233, 23239, 7512, 1059, 3430, 10913, 3228, 2471, 1578, 5207, 5207, 3576, 1070, 1444, 79, 1973, 1256, 11207, 6737, 1195, 26025, 1356, 2566 ]

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

[ 2447, 3482, 1079, 1094, 5097, 3336, 1119, 1477, 1927, 2289, 1233, 10421, 1005, 1009, 1871, 5864, 2098, 2836, 1011, 4432, 18, 2340, 20, 5139, 1160, 21013, 2289, 1118, 1160, 1178, 2133, 1896, 4345, 1704, 1222, 1325, 2307, 8701, 2863, 8, 3900, 3430, 10913, 3228, 2471, 14248, 4368, 5207, 25148, 30330, 1973, 28772, 5738, 1616, 1009, 3754, 1048, 1596, 1124, 10325, 17458, 1016, 1048, 1009, 22416, 2289, 1006, 6388, 1620, 1096, 1184, 1155, 1843, 1021, 1526, 30385, 3586, 1233, 2540, 1009, 16027, 18091, 8422, 21323, 1048, 1124, 1150, 9785, 17458, 30434, 26875, 37, 5139, 2284, 4928, 27966, 7278, 3194, 1400, 3542, 15987, 3687, 1012, 2001, 3900, 4801, 2073, 10902, 25208, 1233, 4272, 17750, 11217, 3689, 1178, 1311, 3287, 1032, 10686, 2309, 1026, 17550, 1006, 2122, 4272, 27351, 1992, 16752, 1009, 2317, 4776, 2276, 9825, 1292, 1309, 2829, 8134, 9938, 88, 24512, 2656, 1096, 1173, 13196, 1526, 3819, 1377, 10077, 1356, 7462, 20, 2013, 1184, 6443, 1620, 20, 14744, 88, 3342, 1160, 5036, 23676, 3048, 2643, 3192, 1048, 1663, 8333, 1058, 4451, 23974, 1482, 19289, 1620, 1516, 1159, 1026, 18734, 1482, 1557, 1009, 3781, 1160, 1096, 2481, 1833, 1007, 2631, 1048, 1006, 15279, 1346, 6990, 1058, 5348, 1053, 7765, 2429, 1801, 1461, 2246, 17222, 4597, 1026, 2822, 1048, 16092, 20, 5139, 1096, 1592, 11186, 6892, 1043, 1026, 1908, 2875, 5288, 1225, 2073, 5085, 1357, 15131, 20, 24231, 14094, 1026, 1048, 4343, 1663, 9935, 12945, 1068, 1026, 17538, 27207, 1068, 1026, 11692, 5052, 1068, 1006, 29495, 5897, 1005, 1068, 1026, 9391, 1048, 1132, 1415, 7043, 14013, 1096, 1048, 1160, 1058, 1765, 1529, 1517, 27840, 2364, 37, 5139, 1096, 1048, 3062, 1826, 1006, 1663, 37, 1063, 30280, 6596, 88, 8, 29673, 37, 7496, 1006, 1718, 91, 9234, 2277, 1124, 13463, 1009, 14654, 37, 8295, 1124, 1614, 1706, 5129, 2364, 3900, 2959, 1160, 1096, 13020, 4578, 4982, 2122, 4380, 1195, 5381, 2335, 20, 1084, 9241, 1068, 1311, 3287, 1032, 6160, 9938, 88, 3342, 1048, 1846, 1596, 2620, 1166, 2691, 1150, 9785, 17458, 30434, 13070, 9367, 4929, 1664, 1006, 6622, 1006, 9938, 1789, 1324, 1006, 1372, 1022, 25061, 96, 1005, 1026, 20176, 14358, 1187, 19762, 3226, 3430, 10913, 3228, 2471, 14248, 6259, 5207, 25148, 30330, 1973, 1256, 11207, 6737, 1195, 26025, 1356, 2566, 1059, 3430, 10913, 3228, 2471, 14248, 6259, 5207, 5, 96, 1270, 1434, 1973, 1256, 9493, 7482, 1216, 1041, 13131, 1049, 2011, 1048, 1026, 3236, 1381, 7655, 3048, 1026, 3236, 1225, 2333, 1034, 1009, 14998, 1526, 7297, 1044, 2011, 1009, 4981, 1048, 1264, 1381, 18, 1996, 1009, 8435, 1168, 1007, 1264, 3266, 6889, 2367, 1100, 2742, 1159, 1264, 31604, 1160, 1058, 1884, 3387, 2306, 1566, 4337, 1026, 1048, 2572, 5470, 1005, 5662, 1026, 1048, 2572, 1419, 6889, 3192, 1323, 18454, 1393, 9791, 1006, 1150, 1469, 22927, 1448, 1528, 15803, 2100, 7669, 1663, 6627, 1009, 3764, 1352, 6788, 1323, 1413, 1660, 1648, 1096, 2924, 3616, 19, 14239, 4108, 3484, 1005, 1060, 1807, 1059, 3430, 10913, 3228, 2471, 14248, 5871, 5207, 5, 96, 1270, 1434, 1973, 1256, 7655, 7673, 2383, 7104, 1395, 13691, 1005, 22903, 2166, 1160, 2449, 2246, 3048, 5192, 1043, 2306, 1006, 3012, 1261, 27956, 10486, 14495, 1054, 1048, 1026, 1957, 7440, 5009, 1096, 1048, 11331, 1079, 1006, 30880, 1213, 2277, 10221, 2383, 2923, 1704, 1007, 1503, 3611, 1077, 20559, 2656, 3880, 4672, 18541, 1124, 13436, 1006, 2444, 1048, 9545, 3118, 1103, 2238, 1005, 16742, 1160, 16092, 1006, 5865, 17414, 19490, 1059, 3430, 10913, 3228, 2471, 14248, 2704, 5207, 25148, 30330, 1973, 28772, 86, 150, 4344, 2079, 1270, 7699, 7009, 6027, 3062, 1309, 1096, 1006, 4982, 1005, 1726, 12600, 7, 25906, 1233, 3349, 3897, 6153, 20, 7596, 1048, 16027, 37, 2358, 1517, 1412, 1664, 1044, 14364, 1531, 1005, 18212, 1009, 1698, 1026, 5731, 4331, 18091, 4354, 9624, 1009, 2956, 1096, 1094, 28351, 1118, 8859, 7358, 11525, 1044, 9624, 1009, 12343, 14161, 5756, 28351, 3482, 168, 1058, 5632, 1009, 3291, 2306, 1376, 86, 6606, 1005, 20874, 20, 1084, 2306, 14779, 1026, 3435, 3987, 12019, 16130, 1196, 1225, 2220, 1026, 3282, 1005, 1026, 3244, 1009, 3291, 1833, 1118, 2693, 1006, 4614, 1124, 18364, 1787, 1068, 1026, 2790, 1005, 1160, 16735, 1009, 1150, 1133, 4838, 8, 1096, 1048, 1058, 1011, 18771, 26818, 1620, 1159, 26818, 1059, 3430, 10913, 3228, 2471, 14248, 5003, 5207, 5, 96, 1270, 1434, 1973, 27214, 2334, 1096, 1094, 28351, 1833, 1298, 1261, 1124, 7697, 1394, 1184, 1043, 1279, 2447, 3812, 2315, 8512, 14211, 5816, 6889, 2367, 1100, 5573, 1048, 1026, 1808, 85, 1054, 5545, 4355, 158, 1160, 1058, 24595, 1059, 3430, 10913, 3228, 2471, 14098, 1839, 5207, 5, 96, 1270, 1434, 1973, 23232, 1013, 1047, 1048, 3065, 2682, 3048, 1058, 1298, 7726, 14475, 1078, 1292, 1009, 2956, 8, 1206, 11485, 18566, 1044, 28743, 4376, 5051, 1704, 8330, 5140, 21142, 11354, 1202, 1026, 16679, 41, 1043, 1044, 28743, 4376, 5051, 1005, 7697, 1394, 1048, 14646, 1261, 1044, 19541, 1009, 4249, 18154, 1309, 1043, 9200, 1184, 1043, 1279, 3342, 4578, 1616, 1160, 1096, 4230, 28351, 8293, 8386, 1118, 5298, 28152, 3534, 1040, 5192, 2306, 11217, 8307, 2668, 1094, 1472, 1048, 1026, 23409, 5854, 3478, 26096, 1006, 5042, 15, 1833, 3048, 5192, 1026, 1048, 1096, 1048, 1516, 4230, 1178, 2533, 1667, 5011, 2364, 2098, 1165, 1412, 1026, 16027, 37, 1006, 4701, 1187, 20093, 1166, 1187, 5634, 4543, 8057, 31930, 1005, 31014, 3098, 13596, 4701, 1009, 25177, 3900, 75, 28057, 1208, 78, 23635, 10913, 3228, 2471, 14098, 3452, 5207, 5, 96, 1270, 1434, 1973, 1256, 6033, 2922, 2533, 1412, 1132, 5494, 6627, 1347, 1043, 1011, 1753, 1010, 1114, 4786, 5, 9497, 78, 80, 28057, 3996, 11346, 1094, 6672, 1030, 1010, 1022, 2238, 3121, 1213, 5832, 1048, 2742, 6409, 9207, 1533, 3969, 1048, 1026, 2956, 6969, 19, 1026, 6218, 1870, 2257, 1184, 5832, 1048, 1006, 2779, 2257, 3615, 1059, 3430, 10913, 3228, 2471, 14098, 2708, 5207, 25148, 30330, 1973, 1256, 7655, 2306, 1096, 1048, 6701, 1054, 25231, 37, 2605, 1927, 3684, 2615, 8866, 1009, 1571, 15622, 1026, 3453, 1049, 7822, 1005, 1049, 6307, 37, 7669, 1187, 3861, 1573, 12945, 37, 16314, 1044, 9624, 1009, 18529, 1551, 86, 7709, 1371, 1006, 4272, 12008, 1005, 11897, 1371, 2924, 6889, 2367, 1100, 1160, 21013, 3048, 2598, 1973, 1048, 1006, 31930, 1206, 1344, 77, 72, 1096, 1048, 5588, 3591, 1069, 1124, 3469, 28592, 6492, 1058, 1124, 28767, 5588, 4961, 1072, 12091, 1202, 1024, 1213, 3311, 1009, 12228, 1005, 25231, 3062, 1026, 8359, 5120, 1998, 1058, 10023, 5752, 86, 1402, 1096, 1048, 1160, 2159, 2241, 1054, 6544, 1009, 1664, 18508, 1050, 19815, 1048, 10985, 14646, 1178, 13479, 1114, 2093, 88, 7249, 1802, 1063, 6973, 3373, 1076, 1187, 11345, 1009, 2813, 7142, 1043, 1132, 11471, 9363, 1054, 1472, 1009, 1058, 10985, 1026, 1266, 18, 1657, 18763, 1589, 5639, 6135, 1998, 1044, 1240, 72, 1087, 1061, 14128, 1044, 9624, 1009, 2497, 1305, 10995, 1026, 1531, 20185, 9690, 3628, 2306, 9090, 1068, 1026, 1622, 1005, 16703, 1124, 28767, 1009, 1048, 10592, 21823, 27219, 1178, 8580, 7425, 7029, 2021, 7913, 1118, 3018, 1679, 1791, 4208, 10828, 7467, 6556, 1048, 1026, 12091, 1202, 1024, 4219, 1365, 26687, 4567, 1058, 16710, 6802, 1009, 1026, 4651, 3144, 2605, 1566, 1160, 3194, 1393, 1679, 3252, 9628, 1118, 3018, 1048, 3032, 1710, 16166, 1060, 21520, 4911, 11838, 8333, 1261, 1054, 2612, 5639, 1096, 11784, 1026, 4461, 1009, 1663, 1026, 9624, 1009, 2497, 2730, 1531, 1005, 1072, 2511, 4480, 1043, 18734, 5011, 1160, 25901, 1054, 3727, 6889, 2367, 1100, 1054, 2869, 1679, 1011, 1753, 1229, 18095, 1381, 2574, 7655, 1009, 1837, 2256, 1646, 1068, 11270, 1048, 1058, 1225, 4947, 1048, 1663, 1616, 1005, 1030, 9249, 1054, 2612, 1096, 3616, 1359, 1092, 18498, 1294, 23676, 1009, 2497, 1150, 25521, 4342, 1391, 2100, 2656, 1327, 1011, 1753, 1010, 1309, 1327, 1124, 20907, 1006, 8322, 1026, 3563, 1009, 6392, 20, 3782, 8935, 1068, 13275, 1124, 9913, 3316, 1472, 3332, 5006, 18413, 1054, 25175, 1132, 1460, 1041, 1544, 19639, 1096, 26307, 8287, 2079, 1270, 20165, 6218, 1034, 1160, 1026, 1178, 1114, 15207, 1160, 1058, 3158, 2605, 3004, 25763, 24427, 1118, 9584, 1266, 1206, 3217, 6561, 1005, 2155, 1419, 1059, 3430, 10913, 3228, 2471, 1984, 24987, 5207, 5, 96, 1270, 1434, 1973, 1256, 3915, 6442, 1841, 20, 6202, 21209, 1048, 1006, 31930, 1005, 1006, 1228, 16434, 89, 2159, 1412, 1118, 3062, 1006, 25231, 1704, 9624, 1049, 2971, 1009, 8108, 18, 1160, 5653, 91, 87, 75, 3048, 5756, 15593, 9624, 2453, 1049, 2956, 8333, 5756, 12108, 5597, 2184, 1229, 1160, 2284, 1044, 3872, 5098, 1068, 11146, 8623, 1451, 1130, 1026, 6168, 1060, 16727, 3048, 1026, 5019, 2875, 1140, 1009, 3192, 25747, 5639, 1160, 1195, 1044, 9624, 1009, 2956, 1048, 1760, 1993, 1009, 1738, 18037, 1112, 12531, 1206, 17312, 1439, 12372, 31627, 1068, 1009, 1266, 2306, 4118, 1393, 3812, 1769, 1026, 1048, 30175, 5738, 1841, 7655, 1616, 1195, 1026, 16679, 17388, 2656, 1596, 3062, 1132, 1008, 2812, 2137, 1333, 1049, 1082, 1926, 1704, 2868, 1049, 1082, 1926, 1516, 1094, 1030, 1010, 1022, 13854, 1144, 21175, 26521, 7770, 1272, 11217, 5348, 1122, 1130, 10495, 1833, 2203, 13047, 1159, 3027, 1118, 8551, 2095, 1006, 2921, 3271, 1048, 1026, 15596, 1362, 1058, 11902, 1009, 7726, 1068, 4125, 1008, 11230, 1048, 2257, 8630, 5613, 3469, 1118, 11270, 16061, 1006, 1178, 1927, 1184, 1030, 1010, 4753, 1048, 1294, 1734, 6453, 5653, 1616, 1096, 1048, 3048, 1487, 1910, 2950, 1184, 7780, 1910, 1043, 5472, 1112, 8405, 1291, 2875, 2473, 16382, 9022, 16548, 20, 1128, 27878, 1657, 1094, 3781, 1048, 6409, 9207, 1054, 2073, 1908, 31556, 1059, 3430, 10913, 3228, 2471, 2182, 27778, 5207, 5, 96, 1270, 1434, 1973, 1256, 7655, 1616, 1288, 10006, 1068, 5265, 14735, 1005, 3062, 2979, 5639, 5747, 1992, 1006, 18956, 1048, 2979, 1009, 4180, 7550, 1026, 3236, 1566, 7734, 18, 1118, 2220, 1026, 6079, 1114, 15004, 1126, 1026, 2971, 1009, 11018, 72, 1943, 1195, 4947, 1043, 8811, 4101, 25747, 3048, 5192, 1048, 1210, 1958, 4159, 13001, 1006, 31930, 1005, 1184, 1026, 1344, 18000, 1009, 9507, 15359, 1068, 1006, 5253, 27389, 28057, 28057, 1208, 23635, 10913, 3228, 2471, 2182, 24646, 5207, 5, 96, 1270, 1434, 1973, 3226, 124, 76, 3087, 1841, 20, 1063, 31406, 1081, 1990, 1841, 5653, 5948, 5756, 2289, 1005, 1184, 3473, 3616, 1005, 24576, 1048, 1006, 1184, 3473, 3616, 5543, 27468, 1278, 1294, 2712, 1894, 1049, 5083, 24012, 1348, 1060, 14769, 1199, 8, 8530, 1030, 10733, 1048, 1006, 2779, 1495, 6240, 1034, 22290, 1096, 1048, 19741, 1081, 1437, 1034, 1026, 13440, 15055, 1996, 1009, 1264, 12883, 1024, 1741, 1331, 71, 1049, 16679, 41, 23018, 1485, 2682, 6082, 8333, 1516, 15877, 1009, 3192, 19, 2656, 2521, 2073, 9624, 1009, 2956, 3021, 1500, 2923, 1114, 16269, 1159, 1114, 28773, 2507, 1126, 1068, 12190, 5877, 7225, 1005, 1068, 1058, 4531, 2696, 20368, 1043, 20703, 1027, 1005, 6847, 2533, 1016, 1687, 5007, 1059, 3430, 10913, 3228, 2471, 2182, 24383, 5207, 5, 96, 1270, 1434, 1973, 19007, 20659, 19, 1160, 1058, 10388, 7709, 6320, 17750, 1068, 1073, 170, 88, 2924, 1533, 4380, 1096, 1592, 2122, 2904, 1214, 3022, 2793, 1957, 2300, 2095, 2246, 1026, 1622, 9564, 1114, 2296, 1377, 2007, 47, 5455, 1160, 1096, 1044, 9624, 1009, 2956, 1005, 3048, 15593, 1043, 1989, 1622, 1703, 2876, 1114, 6586, 5756, 13010, 8333, 1058, 4038, 10449, 2656, 5756, 16797, 2223, 2656, 5756, 8797, 8989, 4697, 1833, 1006, 1048, 5756, 1096, 1159, 1026, 3236, 2612, 19, 3661, 12190, 18661, 92, 3238, 8, 1048, 1318, 8097, 27966, 2227, 1833, 17393, 28514, 1059, 3430, 10913, 3228, 2471, 14115, 2830, 5207, 5, 96, 1270, 1434, 1973, 3226, 132, 1008, 3893, 1132, 1011, 1753, 1010, 9133, 2574, 2246, 1160, 3100, 3010, 13617, 1005, 1050, 1803, 30542, 3062, 2904, 1052, 15904, 1205, 3677, 16381, 1118, 5470, 1005, 6993, 1201, 3144, 2654, 3154, 79, 1533, 17233, 1079, 1006, 22192, 9894, 1187, 6627, 1347, 1043, 1011, 1753, 1010, 1114, 15737, 21929, 2309, 6307, 1005, 1356, 7822, 54, 8333, 1155, 1810, 1054, 1210, 1958, 8747, 1059, 3430, 10913, 3228, 2471, 14115, 3487, 5207, 3576, 1070, 1444, 79, 1973, 1256, 7655, 1927, 3684, 2615, 8866, 1009, 1571, 15622, 1026, 3453, 1049, 7822, 1005, 1049, 6307, 37, 3008, 2648, 3174, 1239, 5504, 1420, 78, 1171, 1021, 25382, 2564, 1048, 1195, 1094, 13010, 27137, 2309, 1009, 2979, 9346, 1271, 4029, 18270, 1048, 1006, 1172, 1333, 18553, 1294, 4145, 1096, 1048, 1124, 22903, 1394, 30260, 16823, 1927, 1118, 2453, 1005, 3032, 1159, 1058, 4337, 4513, 1393, 1132, 16250, 1072, 12091, 1202, 3144, 1766, 1211, 3703, 17418, 1043, 1026, 3790, 1187, 14654, 2791, 1412, 1044, 2822, 1233, 23239, 7512, 1059, 3430, 10913, 3228, 2471, 1578, 5207, 5207, 3576, 1070, 1444, 79, 1973, 1256, 11207, 6737, 1195, 26025, 1356, 2566 ]

[ 675, 4501, 3689, 2837, 1044, 3179, 2733, 1291, 3883, 21906, 1706, 1582, 1049, 17034, 1026, 2403, 5420, 2739, 15660, 1312, 1160, 25179, 1918, 20, 11421, 1006, 5338, 1054, 1048, 4341, 7932, 1026, 11181, 22759, 1009, 4891, 1014, 1009, 1033, 1907, 10190, 2509, 6467, 1580, 17076, 3929, 51, 4459, 17083, 3224, 1043, 1132, 13269, 6809, 1088, 1189, 1573, 8, 6163, 1054, 1286, 1136, 10040, 1009, 14099, 1005, 1072, 2666, 1009, 26266, 1243, 1049, 1123, 23674, 2878, 8519, 20215, 1086, 23228, 13777, 1616, 9479, 20442, 3929, 13249, 1255, 3787, 1371, 1043, 1006, 31650, 3971, 1009, 16992, 3065, 10940, 1884, 1441, 8473, 1072, 17477, 1, 3204, 1096, 1044, 2403, 1009, 30944, 20, 9072, 1048, 1299, 4337, 2668, 1503, 8112, 1089, 2653, 1009, 7110, 1026, 1557, 1048, 2909, 3654, 1068, 5470, 2237, 10510, 20, 1603, 1299, 1160, 7464, 1009, 30944, 18, 2276, 1160, 2155, 16735, 3019, 20053, 1603, 1026, 2535, 1234, 1026, 11641, 1299, 6178, 2155, 3699, 3144, 2013, 2072, 2987, 23114, 675, 675, 12710, 1058, 1299, 1620, 1325, 11509, 3005, 12720, 1048, 1299, 29790, 1133, 1009, 30944, 20, 9338, 1068, 1299, 7, 7281, 1096, 1493, 16849, 1160, 25763, 1138, 2792, 1009, 7087, 1096, 1044, 6724, 1493, 21429, 1049, 30944, 20, 2200, 1225, 1026, 2490, 23503, 1274, 2006, 1048, 26771, 2072, 1680, 2271, 1026, 1106, 4134, 6125, 7817, 1187, 1646, 24451, 1264, 1225, 1044, 14885, 1009, 31986, 1248, 13771, 14050, 4805, 7427, 1005, 10320, 5247, 1005, 1094, 23496, 9452, 1009, 3593, 9097, 1005, 1044, 1852, 5450, 20, 675, 675, 8601, 6204, 1026, 25912, 1049, 3010, 1096, 1026, 2671, 1009, 21114, 1048, 5471, 1006, 4132, 1159, 1044, 3603, 1009, 12498, 10021, 1043, 10645, 1009, 3538, 1049, 2446, 7598, 14939, 1922, 20, 30944, 18, 1096, 11418, 7917, 1054, 1044, 5473, 10645, 1005, 7616, 2289, 1068, 13713, 1043, 1094, 4671, 3629, 1009, 1456, 1791, 24412, 1131, 3500, 1005, 1026, 8618, 1024, 5350, 9744, 675, 675, 2656, 1096, 1044, 1807, 9112, 12701, 24101, 1309, 1620, 4713, 2837, 1094, 6654, 1493, 3593, 1049, 17034, 1043, 2350, 12508, 1005, 18148, 22877, 3025, 1068, 9602, 3527, 20, 1764, 1848, 1656, 14465, 13994, 24451, 1309, 5956, 1616, 8298, 8341, 4738, 1024, 1096, 4629, 9512, 30944, 3748, 1235, 1086, 10846, 78, 1188, 29032, 1005, 12928, 1100, 1043, 1094, 3629, 1009, 1094, 2618, 1009, 2120, 12316, 15692, 1699, 4891, 1014, 6071, 1068, 3754, 24222, 18, 1044, 2574, 25489, 1252, 1192, 1599, 1005, 1026, 30888, 1250, 3509, 10281, 1051, 27106, 1423, 1096, 1044, 21429, 2792, 1009, 3546, 1049, 3010, 20, 675, 675, 6836, 1009, 2252, 1124, 1569, 1558, 12223, 1026, 2403, 4277, 1224, 4253, 1493, 12941, 33, 39, 4132, 1096, 1044, 675, 17911, 1271, 4506, 1273, 1094, 3593, 2596, 1009, 10264, 1124, 9913, 2200, 1318, 4955, 2088, 1114, 4180, 3346, 1189, 1291, 1009, 3536, 1009, 4449, 18733, 8913, 1048, 1132, 31598, 2080, 1040, 1009, 29208, 1054, 1044, 4449, 1068, 12016, 1024, 1235, 15424, 3782, 1160, 3449, 3346, 1189, 1291, 8067, 1026, 1048, 1096, 1044, 2574, 1155, 5165, 8635, 675, 675, 1603, 1299, 1566, 3708, 30944, 4533, 1996, 2668, 4337, 1511, 9035, 1006, 1668, 20, 21458, 1698, 20, 1, 7630, 1668, 2403, 5553, 1044, 2574, 7003, 1009, 19282, 1187, 1646, 12569, 22843, 2449, 1044, 2269, 1068, 1264, 1072, 2092, 1543, 3084, 1009, 10276, 1005, 1160, 5192, 1118, 16027, 20, 2654, 5956, 1048, 7482, 2246, 1006, 10226, 1060, 2042, 1096, 26606, 4132, 1096, 17786, 1100, 2276, 4848, 13299, 15307, 1005, 13341, 8290, 1094, 1834, 10415, 1972, 5224, 1048, 3739, 1040, 14126, 4022, 1233, 4253, 18, 9608, 5470, 1026, 11725, 1160, 1096, 3192, 20717, 1043, 1026, 20053, 1972, 28783, 1021, 150, 3527, 1068, 1299, 1072, 1852, 1060, 8211, 1044, 8461, 89, 9901, 1532, 23662, 7917, 27305, 1435, 1044, 10424, 1072, 9795, 1060, 22930, 1058, 1795, 6058, 1664, 2453, 1005, 7275, 3899, 1006, 3444, 1213, 1592, 8410, 2654, 9695, 1837, 2653, 2864, 1309, 3004, 2909, 4417, 1160, 1287, 1945, 3527, 1213, 2475, 1009, 26573, 1, 2654, 3745, 1026, 2792, 1009, 7087, 2754, 6236, 2340, 3100, 11680, 1009, 17173, 9228, 1005, 2449, 1664, 1132, 1456, 19253, 1309, 2364, 1096, 1620, 1853, 2246, 1495, 1101, 2250, 1503, 1160, 3855, 1322, 1668, 2788, 1005, 1160, 24890, 1048, 1026, 2976, 6873, 45, 3783, 1014, 14062, 1043, 1668, 2403, 1195, 1026, 1592, 2976, 6873, 1163, 3783, 1014, 1048, 1503, 17770, 25015, 1072, 2868, 1009, 4132, 8549, 17482, 1005, 1207, 1088, 1358, 20, 1972, 10312, 1616, 1096, 1094, 11355, 5215, 5336, 2246, 1160, 3002, 3754, 19894, 2624, 1503, 5969, 3877, 1511, 8549, 17482, 1206, 1207, 1088, 1358, 1058, 25702, 24080, 1138, 6449, 1054, 1048, 8549, 17482, 10130, 1875, 8549, 17482, 15, 3179, 3833, 3022, 5969, 3877, 3360, 1048, 2092, 3372, 2569, 1048, 1058, 20405, 1049, 4299, 20, 1138, 1048, 1299, 2540, 1009, 1094, 6117, 1679, 2224, 4844, 12710, 1556, 1707, 31315, 1250, 4533, 1005, 5283, 9553, 2976, 1206, 5569, 26188, 1005, 2073, 3616, 1048, 17173, 9228, 3241, 1124, 20769, 3074, 2072, 3062, 675, 13426, 13426, 57, 168, 2449, 1048, 3754, 5450, 9914, 2976, 22307, 7759, 1, 1138, 2792, 1009, 7087, 1096, 1044, 12527, 4533, 2464, 1058, 21026, 2585, 1058, 22428, 1413, 1458, 1005, 1009, 5155, 6633, 7877, 2135, 36, 675, 1776, 8393, 1009, 8067, 1006, 6097, 1112, 1060, 7271, 1009, 3546, 1005, 1026, 3756, 3861, 1291, 1114, 4263, 3711, 5325, 1159, 1044, 6737, 2952, 2649, 7563, 3382, 6110, 3406, 3663, 28120, 2005, 1104, 20, 1542, 1295, 1231, 1616, 7, 21290, 2089, 9702, 14711, 1005, 3460, 1068, 9035, 1006, 1668, 20053, 2462, 2233, 6314, 5537, 1259, 11386, 1444, 6441, 95, 6977, 1235, 9568, 1745, 7919, 1068, 27106, 1423, 1118, 1094, 9771, 1026, 6522, 2751, 1565, 2457, 1005, 1006, 19740, 14435, 1138, 5497, 23156, 1009, 1106, 23155, 4134, 11503, 5544, 25936, 2073, 7660, 1348, 1068, 1026, 11836, 8519, 1094, 6347, 1009, 25127, 1118, 1048, 1224, 3248, 1058, 9326, 1159, 9479, 14008, 3013, 1072, 1048, 1096, 19378, 1219, 3830, 1044, 6159, 7781, 1291, 1043, 1044, 7549, 1009, 10225, 9441, 1385, 20724, 675, 31485, 1205, 1032, 2140, 88, 1005, 1067, 6713, 1138, 1108, 19432, 8889, 1327, 22828, 1159, 1026, 31043, 1009, 10075, 6762, 1327, 1238, 84, 2401, 13732, 2184, 1114, 1834, 2733, 1349, 1005, 1495, 1225, 24490, 28712, 1095, 7306, 1318, 7, 53, 1048, 1184, 1299, 3012, 9364, 37, 675, 675, 2654, 22700, 1026, 1123, 23674, 2878, 1058, 1299, 5037, 7153, 1094, 10009, 3597, 7383, 2154, 1043, 1044, 18567, 1086, 2871, 1042, 1629, 1005, 22828, 5138, 20, 8384, 1160, 29070, 1094, 4946, 1043, 1264, 6266, 1631, 2444, 1072, 2161, 1060, 7202, 1565, 675, 675, 5344, 2485, 1503, 12180, 1616, 3711, 20, 3713, 8536, 1006, 2444, 1048, 1299, 2374, 23593, 1779, 7447, 1, 12548, 7640, 2403, 1009, 30944, 20, 3204, 2403, 3346, 1189, 1291, 1225, 1094, 1807, 3597, 1005, 1096, 1044, 1187, 3460, 4533, 1009, 1594, 19143, 20, 30944, 1096, 15406, 1905, 1159, 1044, 2554, 1188, 3057, 2403, 1005, 13234, 1044, 2666, 1009, 19238, 3204, 2403, 1096, 7640, 1005, 1044, 9889, 2403, 1009, 10759, 8206, 2135, 3597, 20, 2654, 1927, 17485, 3019, 2403, 1005, 1225, 1048, 1178, 1044, 1187, 3460, 4533, 1009, 8045, 1009, 1664, 1132, 31058, 1782, 1009, 1782, 7, 54, 2393, 44, 5794, 4824, 1, 12548, 2403, 7036, 1322, 1006, 3578, 5947, 1009, 3310, 3006, 9476, 5326, 8677, 1201, 1166, 1322, 1006, 2042, 1009, 14497, 1071, 1348, 1629, 20279, 1356, 19560, 2994, 1148, 17651, 10308, 1349, 1094, 6560, 1252, 1328, 1048, 3904, 17925, 1054, 1094, 4671, 8565, 15690, 1009, 3047, 26509, 2013, 1094, 5099, 2072, 2493, 4559, 18, 1005, 4108, 1687, 18501, 1322, 1124, 14294, 79, 1854, 1060, 12596, 17818, 1569, 13534, 1016, 1005, 10016, 5752, 86, 3607, 1569, 16268, 1887, 20, 675, 675, 1156, 1736, 1078, 1228, 1612, 75, 1381, 1235, 1853, 2403, 2271, 4954, 23393, 2778, 1166, 8, 4817, 6456, 1043, 1044, 31831, 2072, 1998, 72, 19086, 1094, 12019, 12337, 1005, 1044, 2631, 4374, 9596, 2200, 9047, 1160, 6098, 1049, 31351, 1264, 1657, 1294, 4277, 2088, 11145, 1005, 4803, 11157, 1071, 1816, 18, 1132, 11145, 1327, 22909, 1478, 1026, 5434, 1068, 1294, 1663, 11157, 1054, 1428, 3688, 4929, 1054, 15, 1005, 1264, 5130, 1497, 1094, 1807, 9013, 1060, 4281, 1005, 1049, 76, 2520, 1154, 1049, 5102, 8270, 7481, 11922, 17651, 10308, 1005, 12127, 3236, 7214, 1723, 7043, 675, 675, 3316, 2935, 1680, 18742, 1377, 675, 675, 11329, 5405, 32, 1779, 7447, 1, 1868, 9087, 1006, 5102, 14027, 1072, 3709, 1060, 8211, 1096, 26831, 1120, 1140, 1068, 1094, 3548, 5989, 2469, 1114, 13127, 1072, 23484, 1049, 8209, 1060, 3578, 5947, 1072, 1852, 1187, 1646, 25883, 1972, 2122, 8650, 2528, 2289, 1096, 13438, 1054, 1224, 3347, 1208, 11362, 1063, 3781, 1005, 1235, 3372, 1327, 1569, 16558, 4294, 6481, 2097, 1687, 1225, 1048, 30926, 1054, 1094, 2706, 24224, 1230, 1048, 1325, 5626, 1049, 1048, 1687, 1225, 1054, 3047, 26509, 675, 675, 1138, 2963, 8816, 1078, 1228, 1612, 75, 29963, 1668, 2403, 2309, 2050, 1014, 1554, 1063, 2531, 1009, 14497, 1325, 27078, 4646, 2154, 2097, 1006, 4809, 1009, 14497, 1096, 19267, 1043, 4327, 1048, 1096, 1044, 9995, 1060, 10502, 14324, 1043, 1006, 2317, 1055, 5053, 74, 3382, 1026, 10711, 1271, 18923, 1242, 1060, 2531, 1325, 1043, 1026, 16043, 1005, 1132, 8405, 1573, 1048, 23279, 1026, 8209, 20, 675, 1063, 2042, 1160, 22635, 3192, 1213, 1048, 1566, 1195, 1004, 2784, 1493, 12653, 1309, 1096, 1044, 2403, 4445, 1009, 3356, 8607, 1063, 6972, 13855, 12435, 1049, 3184, 1060, 4573, 1096, 2168, 22507, 2656, 29070, 4805, 17578, 2340, 1006, 1712, 1751, 1049, 1048, 5934, 11213, 1054, 6019, 1009, 14497, 1005, 1132, 19762, 1048, 1687, 1381, 11833, 20, 675, 675, 17651, 10308, 16678, 14497, 1043, 9143, 28568, 1005, 1098, 29819, 20, 3512, 2529, 4610, 1096, 1006, 4809, 1009, 1868, 9087, 29369, 2339, 1006, 1048, 1195, 1068, 1006, 3432, 3336, 11134, 3512, 1067, 4962, 1096, 1570, 91, 3431, 1006, 11044, 1048, 1381, 11833, 1043, 14497, 20, 24641, 1631, 7864, 19068, 18881, 9008, 1081, 2351, 1026, 2792, 1048, 29369, 1007, 4454, 1068, 6529, 1511, 7514, 1068, 1006, 3432, 3336, 6062, 26826, 1048, 4215, 1225, 11409, 3145, 1114, 3364, 1187, 4533, 5366, 26346, 1160, 1225, 3192, 1006, 16663, 2340, 5898, 1847, 1044, 21259, 1183, 1213, 2729, 1049, 20053, 1, 16237, 3982, 2348, 7391, 15690, 2135, 13692, 152, 1005, 1503, 24648, 2122, 16748, 11864, 1060, 16234, 1063, 4573, 1325, 15993, 1114, 4188, 1049, 13605, 5098, 20423, 2013, 1118, 1616, 1048, 2122, 3733, 26958, 1976, 1178, 2168, 1713, 1054, 2252, 1124, 6296, 1009, 4843, 6571, 7036, 20, 2013, 1094, 19993, 1694, 16748, 1060, 16200, 1149, 1738, 3485, 1049, 9022, 16548, 20, 1138, 9995, 5414, 1048, 1058, 8981, 1114, 3578, 5947, 31341, 21786, 1068, 1026, 2671, 24782, 4107, 28487, 2682, 20, 1138, 3129, 29750, 1060, 9403, 1096, 10670, 3046, 1680, 12999, 1054, 1094, 1271, 10152, 1184, 11160, 2897, 1048, 1228, 1612, 75, 1566, 2521, 20, 2034, 5281, 1327, 6972, 2230, 6997, 1063, 21507, 2207, 1009, 1094, 3781, 15225, 9965, 3012, 1323, 3754, 1006, 5267, 1365, 2073, 3781, 1005, 1094, 3781, 6451, 20724, 2013, 5483, 1159, 1044, 6490, 1009, 6728, 1511, 2156, 3978, 6828, 5431, 1046, 1456, 11172, 1005, 1058, 6890, 3493, 20, 1766, 1023, 12910, 1018, 1048, 2493, 1648, 1235, 15928, 1009, 14330, 1592, 1068, 3978, 18959, 4837, 2364, 1826, 2248, 1016, 20423, 2858, 2403, 1159, 1538, 7502, 8836, 2024, 1009, 14497, 13, 21, 16116, 1024, 1078, 3490, 12369, 5202, 13, 2612, 1094, 1271, 12818, 5025, 9468, 1018, 1049, 3009, 31651, 2013, 1094, 16748, 1853, 1060, 2042, 1049, 1048, 2073, 3066, 3012, 1201, 2652, 2228, 3240, 9889, 2011, 1060, 27387, 1156, 5209, 1145, 7, 1, 3204, 1096, 1044, 2403, 7036, 1493, 16849, 1309, 3074, 22591, 1048, 2653, 3062, 2979, 1058, 4635, 1046, 3215, 3607, 2246, 2653, 1054, 2220, 1026, 1784, 1160, 2643, 9026, 1049, 1048, 1516, 1006, 3578, 5947, 31341, 1206, 1511, 1195, 9256, 3567, 14935, 1044, 4868, 1009, 8211, 1503, 2257, 1094, 1807, 5955, 6495, 1309, 11879, 1419, 8273, 1159, 1026, 2403, 3012, 1178, 27011, 1495, 1048, 1299, 1151, 24421, 2252, 1124, 17455, 1728, 1119, 3119, 1188, 1048, 1058, 1616, 2909, 1094, 1807, 10417, 1114, 13127, 1571, 1668, 2403, 1195, 23233, 1309, 1068, 1734, 7546, 1857, 1693, 2593, 1044, 2574, 16690, 1010, 1495, 1184, 3232, 1072, 20053, 675, 675, 1138, 2403, 5090, 1043, 1006, 14497, 1009, 2224, 1646, 1009, 5293, 75, 1224, 4809, 19850, 1068, 1006, 1641, 11763, 1009, 1224, 27396, 1766, 1646, 1058, 7949, 1005, 1299, 13708, 1048, 1857, 1826, 10635, 1068, 1006, 4573, 1060, 1641, 1009, 3047, 26509, 6836, 1060, 3347, 1208, 5787, 14497, 5879, 7036, 16175, 5136, 2631, 1005, 1807, 1751, 1049, 2403, 1096, 1322, 1159, 1687, 1058, 8009, 7043, 12514, 1213, 7065, 1356, 1428, 1687, 1005, 1224, 4809, 1826, 6382, 13235, 1503, 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 ]

[ 675, 4501, 3689, 2837, 1044, 3179, 2733, 1291, 3883, 21906, 1706, 1582, 1049, 17034, 1026, 2403, 5420, 2739, 15660, 1312, 1160, 25179, 1918, 20, 11421, 1006, 5338, 1054, 1048, 4341, 7932, 1026, 11181, 22759, 1009, 4891, 1014, 1009, 1033, 1907, 10190, 2509, 6467, 1580, 17076, 3929, 51, 4459, 17083, 3224, 1043, 1132, 13269, 6809, 1088, 1189, 1573, 8, 6163, 1054, 1286, 1136, 10040, 1009, 14099, 1005, 1072, 2666, 1009, 26266, 1243, 1049, 1123, 23674, 2878, 8519, 20215, 1086, 23228, 13777, 1616, 9479, 20442, 3929, 13249, 1255, 3787, 1371, 1043, 1006, 31650, 3971, 1009, 16992, 3065, 10940, 1884, 1441, 8473, 1072, 17477, 1, 3204, 1096, 1044, 2403, 1009, 30944, 20, 9072, 1048, 1299, 4337, 2668, 1503, 8112, 1089, 2653, 1009, 7110, 1026, 1557, 1048, 2909, 3654, 1068, 5470, 2237, 10510, 20, 1603, 1299, 1160, 7464, 1009, 30944, 18, 2276, 1160, 2155, 16735, 3019, 20053, 1603, 1026, 2535, 1234, 1026, 11641, 1299, 6178, 2155, 3699, 3144, 2013, 2072, 2987, 23114, 675, 675, 12710, 1058, 1299, 1620, 1325, 11509, 3005, 12720, 1048, 1299, 29790, 1133, 1009, 30944, 20, 9338, 1068, 1299, 7, 7281, 1096, 1493, 16849, 1160, 25763, 1138, 2792, 1009, 7087, 1096, 1044, 6724, 1493, 21429, 1049, 30944, 20, 2200, 1225, 1026, 2490, 23503, 1274, 2006, 1048, 26771, 2072, 1680, 2271, 1026, 1106, 4134, 6125, 7817, 1187, 1646, 24451, 1264, 1225, 1044, 14885, 1009, 31986, 1248, 13771, 14050, 4805, 7427, 1005, 10320, 5247, 1005, 1094, 23496, 9452, 1009, 3593, 9097, 1005, 1044, 1852, 5450, 20, 675, 675, 8601, 6204, 1026, 25912, 1049, 3010, 1096, 1026, 2671, 1009, 21114, 1048, 5471, 1006, 4132, 1159, 1044, 3603, 1009, 12498, 10021, 1043, 10645, 1009, 3538, 1049, 2446, 7598, 14939, 1922, 20, 30944, 18, 1096, 11418, 7917, 1054, 1044, 5473, 10645, 1005, 7616, 2289, 1068, 13713, 1043, 1094, 4671, 3629, 1009, 1456, 1791, 24412, 1131, 3500, 1005, 1026, 8618, 1024, 5350, 9744, 675, 675, 2656, 1096, 1044, 1807, 9112, 12701, 24101, 1309, 1620, 4713, 2837, 1094, 6654, 1493, 3593, 1049, 17034, 1043, 2350, 12508, 1005, 18148, 22877, 3025, 1068, 9602, 3527, 20, 1764, 1848, 1656, 14465, 13994, 24451, 1309, 5956, 1616, 8298, 8341, 4738, 1024, 1096, 4629, 9512, 30944, 3748, 1235, 1086, 10846, 78, 1188, 29032, 1005, 12928, 1100, 1043, 1094, 3629, 1009, 1094, 2618, 1009, 2120, 12316, 15692, 1699, 4891, 1014, 6071, 1068, 3754, 24222, 18, 1044, 2574, 25489, 1252, 1192, 1599, 1005, 1026, 30888, 1250, 3509, 10281, 1051, 27106, 1423, 1096, 1044, 21429, 2792, 1009, 3546, 1049, 3010, 20, 675, 675, 6836, 1009, 2252, 1124, 1569, 1558, 12223, 1026, 2403, 4277, 1224, 4253, 1493, 12941, 33, 39, 4132, 1096, 1044, 675, 17911, 1271, 4506, 1273, 1094, 3593, 2596, 1009, 10264, 1124, 9913, 2200, 1318, 4955, 2088, 1114, 4180, 3346, 1189, 1291, 1009, 3536, 1009, 4449, 18733, 8913, 1048, 1132, 31598, 2080, 1040, 1009, 29208, 1054, 1044, 4449, 1068, 12016, 1024, 1235, 15424, 3782, 1160, 3449, 3346, 1189, 1291, 8067, 1026, 1048, 1096, 1044, 2574, 1155, 5165, 8635, 675, 675, 1603, 1299, 1566, 3708, 30944, 4533, 1996, 2668, 4337, 1511, 9035, 1006, 1668, 20, 21458, 1698, 20, 1, 7630, 1668, 2403, 5553, 1044, 2574, 7003, 1009, 19282, 1187, 1646, 12569, 22843, 2449, 1044, 2269, 1068, 1264, 1072, 2092, 1543, 3084, 1009, 10276, 1005, 1160, 5192, 1118, 16027, 20, 2654, 5956, 1048, 7482, 2246, 1006, 10226, 1060, 2042, 1096, 26606, 4132, 1096, 17786, 1100, 2276, 4848, 13299, 15307, 1005, 13341, 8290, 1094, 1834, 10415, 1972, 5224, 1048, 3739, 1040, 14126, 4022, 1233, 4253, 18, 9608, 5470, 1026, 11725, 1160, 1096, 3192, 20717, 1043, 1026, 20053, 1972, 28783, 1021, 150, 3527, 1068, 1299, 1072, 1852, 1060, 8211, 1044, 8461, 89, 9901, 1532, 23662, 7917, 27305, 1435, 1044, 10424, 1072, 9795, 1060, 22930, 1058, 1795, 6058, 1664, 2453, 1005, 7275, 3899, 1006, 3444, 1213, 1592, 8410, 2654, 9695, 1837, 2653, 2864, 1309, 3004, 2909, 4417, 1160, 1287, 1945, 3527, 1213, 2475, 1009, 26573, 1, 2654, 3745, 1026, 2792, 1009, 7087, 2754, 6236, 2340, 3100, 11680, 1009, 17173, 9228, 1005, 2449, 1664, 1132, 1456, 19253, 1309, 2364, 1096, 1620, 1853, 2246, 1495, 1101, 2250, 1503, 1160, 3855, 1322, 1668, 2788, 1005, 1160, 24890, 1048, 1026, 2976, 6873, 45, 3783, 1014, 14062, 1043, 1668, 2403, 1195, 1026, 1592, 2976, 6873, 1163, 3783, 1014, 1048, 1503, 17770, 25015, 1072, 2868, 1009, 4132, 8549, 17482, 1005, 1207, 1088, 1358, 20, 1972, 10312, 1616, 1096, 1094, 11355, 5215, 5336, 2246, 1160, 3002, 3754, 19894, 2624, 1503, 5969, 3877, 1511, 8549, 17482, 1206, 1207, 1088, 1358, 1058, 25702, 24080, 1138, 6449, 1054, 1048, 8549, 17482, 10130, 1875, 8549, 17482, 15, 3179, 3833, 3022, 5969, 3877, 3360, 1048, 2092, 3372, 2569, 1048, 1058, 20405, 1049, 4299, 20, 1138, 1048, 1299, 2540, 1009, 1094, 6117, 1679, 2224, 4844, 12710, 1556, 1707, 31315, 1250, 4533, 1005, 5283, 9553, 2976, 1206, 5569, 26188, 1005, 2073, 3616, 1048, 17173, 9228, 3241, 1124, 20769, 3074, 2072, 3062, 675, 13426, 13426, 57, 168, 2449, 1048, 3754, 5450, 9914, 2976, 22307, 7759, 1, 1138, 2792, 1009, 7087, 1096, 1044, 12527, 4533, 2464, 1058, 21026, 2585, 1058, 22428, 1413, 1458, 1005, 1009, 5155, 6633, 7877, 2135, 36, 675, 1776, 8393, 1009, 8067, 1006, 6097, 1112, 1060, 7271, 1009, 3546, 1005, 1026, 3756, 3861, 1291, 1114, 4263, 3711, 5325, 1159, 1044, 6737, 2952, 2649, 7563, 3382, 6110, 3406, 3663, 28120, 2005, 1104, 20, 1542, 1295, 1231, 1616, 7, 21290, 2089, 9702, 14711, 1005, 3460, 1068, 9035, 1006, 1668, 20053, 2462, 2233, 6314, 5537, 1259, 11386, 1444, 6441, 95, 6977, 1235, 9568, 1745, 7919, 1068, 27106, 1423, 1118, 1094, 9771, 1026, 6522, 2751, 1565, 2457, 1005, 1006, 19740, 14435, 1138, 5497, 23156, 1009, 1106, 23155, 4134, 11503, 5544, 25936, 2073, 7660, 1348, 1068, 1026, 11836, 8519, 1094, 6347, 1009, 25127, 1118, 1048, 1224, 3248, 1058, 9326, 1159, 9479, 14008, 3013, 1072, 1048, 1096, 19378, 1219, 3830, 1044, 6159, 7781, 1291, 1043, 1044, 7549, 1009, 10225, 9441, 1385, 20724, 675, 31485, 1205, 1032, 2140, 88, 1005, 1067, 6713, 1138, 1108, 19432, 8889, 1327, 22828, 1159, 1026, 31043, 1009, 10075, 6762, 1327, 1238, 84, 2401, 13732, 2184, 1114, 1834, 2733, 1349, 1005, 1495, 1225, 24490, 28712, 1095, 7306, 1318, 7, 53, 1048, 1184, 1299, 3012, 9364, 37, 675, 675, 2654, 22700, 1026, 1123, 23674, 2878, 1058, 1299, 5037, 7153, 1094, 10009, 3597, 7383, 2154, 1043, 1044, 18567, 1086, 2871, 1042, 1629, 1005, 22828, 5138, 20, 8384, 1160, 29070, 1094, 4946, 1043, 1264, 6266, 1631, 2444, 1072, 2161, 1060, 7202, 1565, 675, 675, 5344, 2485, 1503, 12180, 1616, 3711, 20, 3713, 8536, 1006, 2444, 1048, 1299, 2374, 23593, 1779, 7447, 1, 12548, 7640, 2403, 1009, 30944, 20, 3204, 2403, 3346, 1189, 1291, 1225, 1094, 1807, 3597, 1005, 1096, 1044, 1187, 3460, 4533, 1009, 1594, 19143, 20, 30944, 1096, 15406, 1905, 1159, 1044, 2554, 1188, 3057, 2403, 1005, 13234, 1044, 2666, 1009, 19238, 3204, 2403, 1096, 7640, 1005, 1044, 9889, 2403, 1009, 10759, 8206, 2135, 3597, 20, 2654, 1927, 17485, 3019, 2403, 1005, 1225, 1048, 1178, 1044, 1187, 3460, 4533, 1009, 8045, 1009, 1664, 1132, 31058, 1782, 1009, 1782, 7, 54, 2393, 44, 5794, 4824, 1, 12548, 2403, 7036, 1322, 1006, 3578, 5947, 1009, 3310, 3006, 9476, 5326, 8677, 1201, 1166, 1322, 1006, 2042, 1009, 14497, 1071, 1348, 1629, 20279, 1356, 19560, 2994, 1148, 17651, 10308, 1349, 1094, 6560, 1252, 1328, 1048, 3904, 17925, 1054, 1094, 4671, 8565, 15690, 1009, 3047, 26509, 2013, 1094, 5099, 2072, 2493, 4559, 18, 1005, 4108, 1687, 18501, 1322, 1124, 14294, 79, 1854, 1060, 12596, 17818, 1569, 13534, 1016, 1005, 10016, 5752, 86, 3607, 1569, 16268, 1887, 20, 675, 675, 1156, 1736, 1078, 1228, 1612, 75, 1381, 1235, 1853, 2403, 2271, 4954, 23393, 2778, 1166, 8, 4817, 6456, 1043, 1044, 31831, 2072, 1998, 72, 19086, 1094, 12019, 12337, 1005, 1044, 2631, 4374, 9596, 2200, 9047, 1160, 6098, 1049, 31351, 1264, 1657, 1294, 4277, 2088, 11145, 1005, 4803, 11157, 1071, 1816, 18, 1132, 11145, 1327, 22909, 1478, 1026, 5434, 1068, 1294, 1663, 11157, 1054, 1428, 3688, 4929, 1054, 15, 1005, 1264, 5130, 1497, 1094, 1807, 9013, 1060, 4281, 1005, 1049, 76, 2520, 1154, 1049, 5102, 8270, 7481, 11922, 17651, 10308, 1005, 12127, 3236, 7214, 1723, 7043, 675, 675, 3316, 2935, 1680, 18742, 1377, 675, 675, 11329, 5405, 32, 1779, 7447, 1, 1868, 9087, 1006, 5102, 14027, 1072, 3709, 1060, 8211, 1096, 26831, 1120, 1140, 1068, 1094, 3548, 5989, 2469, 1114, 13127, 1072, 23484, 1049, 8209, 1060, 3578, 5947, 1072, 1852, 1187, 1646, 25883, 1972, 2122, 8650, 2528, 2289, 1096, 13438, 1054, 1224, 3347, 1208, 11362, 1063, 3781, 1005, 1235, 3372, 1327, 1569, 16558, 4294, 6481, 2097, 1687, 1225, 1048, 30926, 1054, 1094, 2706, 24224, 1230, 1048, 1325, 5626, 1049, 1048, 1687, 1225, 1054, 3047, 26509, 675, 675, 1138, 2963, 8816, 1078, 1228, 1612, 75, 29963, 1668, 2403, 2309, 2050, 1014, 1554, 1063, 2531, 1009, 14497, 1325, 27078, 4646, 2154, 2097, 1006, 4809, 1009, 14497, 1096, 19267, 1043, 4327, 1048, 1096, 1044, 9995, 1060, 10502, 14324, 1043, 1006, 2317, 1055, 5053, 74, 3382, 1026, 10711, 1271, 18923, 1242, 1060, 2531, 1325, 1043, 1026, 16043, 1005, 1132, 8405, 1573, 1048, 23279, 1026, 8209, 20, 675, 1063, 2042, 1160, 22635, 3192, 1213, 1048, 1566, 1195, 1004, 2784, 1493, 12653, 1309, 1096, 1044, 2403, 4445, 1009, 3356, 8607, 1063, 6972, 13855, 12435, 1049, 3184, 1060, 4573, 1096, 2168, 22507, 2656, 29070, 4805, 17578, 2340, 1006, 1712, 1751, 1049, 1048, 5934, 11213, 1054, 6019, 1009, 14497, 1005, 1132, 19762, 1048, 1687, 1381, 11833, 20, 675, 675, 17651, 10308, 16678, 14497, 1043, 9143, 28568, 1005, 1098, 29819, 20, 3512, 2529, 4610, 1096, 1006, 4809, 1009, 1868, 9087, 29369, 2339, 1006, 1048, 1195, 1068, 1006, 3432, 3336, 11134, 3512, 1067, 4962, 1096, 1570, 91, 3431, 1006, 11044, 1048, 1381, 11833, 1043, 14497, 20, 24641, 1631, 7864, 19068, 18881, 9008, 1081, 2351, 1026, 2792, 1048, 29369, 1007, 4454, 1068, 6529, 1511, 7514, 1068, 1006, 3432, 3336, 6062, 26826, 1048, 4215, 1225, 11409, 3145, 1114, 3364, 1187, 4533, 5366, 26346, 1160, 1225, 3192, 1006, 16663, 2340, 5898, 1847, 1044, 21259, 1183, 1213, 2729, 1049, 20053, 1, 16237, 3982, 2348, 7391, 15690, 2135, 13692, 152, 1005, 1503, 24648, 2122, 16748, 11864, 1060, 16234, 1063, 4573, 1325, 15993, 1114, 4188, 1049, 13605, 5098, 20423, 2013, 1118, 1616, 1048, 2122, 3733, 26958, 1976, 1178, 2168, 1713, 1054, 2252, 1124, 6296, 1009, 4843, 6571, 7036, 20, 2013, 1094, 19993, 1694, 16748, 1060, 16200, 1149, 1738, 3485, 1049, 9022, 16548, 20, 1138, 9995, 5414, 1048, 1058, 8981, 1114, 3578, 5947, 31341, 21786, 1068, 1026, 2671, 24782, 4107, 28487, 2682, 20, 1138, 3129, 29750, 1060, 9403, 1096, 10670, 3046, 1680, 12999, 1054, 1094, 1271, 10152, 1184, 11160, 2897, 1048, 1228, 1612, 75, 1566, 2521, 20, 2034, 5281, 1327, 6972, 2230, 6997, 1063, 21507, 2207, 1009, 1094, 3781, 15225, 9965, 3012, 1323, 3754, 1006, 5267, 1365, 2073, 3781, 1005, 1094, 3781, 6451, 20724, 2013, 5483, 1159, 1044, 6490, 1009, 6728, 1511, 2156, 3978, 6828, 5431, 1046, 1456, 11172, 1005, 1058, 6890, 3493, 20, 1766, 1023, 12910, 1018, 1048, 2493, 1648, 1235, 15928, 1009, 14330, 1592, 1068, 3978, 18959, 4837, 2364, 1826, 2248, 1016, 20423, 2858, 2403, 1159, 1538, 7502, 8836, 2024, 1009, 14497, 13, 21, 16116, 1024, 1078, 3490, 12369, 5202, 13, 2612, 1094, 1271, 12818, 5025, 9468, 1018, 1049, 3009, 31651, 2013, 1094, 16748, 1853, 1060, 2042, 1049, 1048, 2073, 3066, 3012, 1201, 2652, 2228, 3240, 9889, 2011, 1060, 27387, 1156, 5209, 1145, 7, 1, 3204, 1096, 1044, 2403, 7036, 1493, 16849, 1309, 3074, 22591, 1048, 2653, 3062, 2979, 1058, 4635, 1046, 3215, 3607, 2246, 2653, 1054, 2220, 1026, 1784, 1160, 2643, 9026, 1049, 1048, 1516, 1006, 3578, 5947, 31341, 1206, 1511, 1195, 9256, 3567, 14935, 1044, 4868, 1009, 8211, 1503, 2257, 1094, 1807, 5955, 6495, 1309, 11879, 1419, 8273, 1159, 1026, 2403, 3012, 1178, 27011, 1495, 1048, 1299, 1151, 24421, 2252, 1124, 17455, 1728, 1119, 3119, 1188, 1048, 1058, 1616, 2909, 1094, 1807, 10417, 1114, 13127, 1571, 1668, 2403, 1195, 23233, 1309, 1068, 1734, 7546, 1857, 1693, 2593, 1044, 2574, 16690, 1010, 1495, 1184, 3232, 1072, 20053, 675, 675, 1138, 2403, 5090, 1043, 1006, 14497, 1009, 2224, 1646, 1009, 5293, 75, 1224, 4809, 19850, 1068, 1006, 1641, 11763, 1009, 1224, 27396, 1766, 1646, 1058, 7949, 1005, 1299, 13708, 1048, 1857, 1826, 10635, 1068, 1006, 4573, 1060, 1641, 1009, 3047, 26509, 6836, 1060, 3347, 1208, 5787, 14497, 5879, 7036, 16175, 5136, 2631, 1005, 1807, 1751, 1049, 2403, 1096, 1322, 1159, 1687, 1058, 8009, 7043, 12514, 1213, 7065, 1356, 1428, 1687, 1005, 1224, 4809, 1826, 6382, 13235, 1503, 1026 ]

[ 13367, 1254, 1559, 5940, 29575, 25, 8482, 13197, 17266, 1308, 24293, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 3008, 1302, 1040, 2787, 5827, 1551, 12216, 1084, 1647, 75, 10535, 10913, 13952, 2084, 17573, 21501, 8121, 2995, 1104, 1531, 2116, 1089, 18171, 1140, 1106, 46, 1072, 2803, 2124, 1223, 1079, 3748, 30228, 3075, 17189, 1325, 1493, 4417, 1068, 4982, 1495, 1068, 5115, 1026, 6648, 1028, 25861, 10664, 7567, 52, 2393, 1207, 2606, 5264, 20964, 1123, 2428, 39, 8260, 10913, 13952, 2084, 17573, 3295, 24781, 5, 17915, 2177, 8518, 1069, 1132, 8518, 1010, 1187, 6638, 9726, 1072, 8036, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 3851, 1605, 20367, 1313, 10257, 2652, 1766, 6638, 3634, 1178, 8518, 1166, 1114, 1345, 71, 2373, 2702, 2157, 14482, 23298, 626, 3915, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 1298, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1059, 4439, 2602, 1233, 10001, 22311, 11764, 1467, 1590, 20146, 16287, 1045, 8149, 10913, 13952, 2084, 17573, 3404, 28345, 2995, 5385, 9342, 2572, 8587, 1493, 18855, 2930, 2743, 4634, 1048, 1205, 26461, 5754, 1063, 3980, 3051, 1160, 1325, 1114, 2919, 2007, 9548, 14015, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 4994, 1605, 20367, 3859, 2570, 3336, 1163, 1401, 1024, 8587, 1009, 12097, 1048, 1006, 8240, 6075, 5992, 1096, 1094, 4422, 1305, 8195, 26124, 6875, 1048, 1225, 1118, 3489, 9004, 1130, 1005, 5719, 1124, 3540, 1009, 31857, 8826, 26146, 1009, 8016, 1048, 6583, 2869, 1043, 1026, 25267, 1337, 1060, 25295, 1009, 5508, 1627, 1054, 18995, 3306, 45, 1349, 5219, 7916, 1072, 4789, 1263, 1009, 5180, 1112, 1005, 1009, 1063, 7761, 1303, 1009, 6196, 2994, 4139, 58, 4517, 1565, 1138, 7301, 1009, 20511, 1213, 4365, 5120, 22389, 11047, 1005, 1142, 8076, 15432, 1132, 6921, 21207, 3983, 5153, 1026, 1128, 58, 4517, 18, 1072, 3338, 1009, 1063, 3980, 3051, 18, 1998, 5756, 5802, 1054, 1094, 14405, 3264, 3336, 1505, 2612, 2668, 1026, 3338, 1160, 1325, 12573, 9877, 1124, 10848, 10854, 1580, 1356, 2611, 1897, 11564, 75, 10599, 1298, 9253, 2089, 15740, 1060, 8240, 6075, 30666, 3447, 1157, 32, 18946, 11205, 3829, 1947, 22831, 1377, 23443, 22311, 11764, 5, 93, 6693, 2475, 10913, 13952, 2084, 17573, 14586, 5940, 2995, 5385, 3232, 5653, 1295, 1006, 1641, 1009, 1063, 3980, 3051, 1479, 14388, 1160, 1195, 10517, 1140, 1356, 17982, 37, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 4943, 1605, 20367, 7000, 20, 1163, 1401, 1024, 8587, 1009, 12097, 1048, 1006, 8240, 6075, 5992, 1096, 1094, 4422, 1305, 8195, 26124, 6875, 1048, 1225, 1118, 3489, 9004, 1130, 1005, 5719, 1124, 3540, 1009, 31857, 8826, 26146, 1009, 8016, 1048, 6583, 2869, 1043, 1026, 25267, 1337, 1060, 25295, 1009, 5508, 1627, 1054, 18995, 3306, 45, 1349, 5219, 7916, 1072, 4789, 1263, 1009, 5180, 1112, 1005, 1009, 1063, 7761, 1303, 1009, 6196, 2994, 4139, 58, 4517, 1565, 1138, 7301, 1009, 20511, 1213, 4365, 5120, 22389, 11047, 1005, 1142, 8076, 15432, 1132, 6921, 21207, 3983, 5153, 1026, 1128, 58, 4517, 18, 1072, 3338, 1009, 1063, 3980, 3051, 18, 1998, 5756, 5802, 1054, 1094, 14405, 3264, 3336, 1505, 2612, 2668, 1026, 3338, 1160, 1325, 12573, 9877, 1124, 10848, 10854, 1580, 1356, 2611, 1897, 11564, 75, 10599, 1298, 9253, 2089, 15740, 1060, 8240, 6075, 30666, 3447, 1157, 32, 18946, 11205, 3829, 1947, 22831, 1377, 23443, 22311, 11764, 3341, 1097, 1045, 1468, 3734, 10913, 13952, 2084, 17573, 1578, 28064, 2995, 5385, 9342, 22832, 1048, 1837, 1044, 1688, 5636, 19126, 1072, 1048, 1919, 5085, 1006, 4087, 1187, 5570, 1139, 2184, 19043, 1356, 25267, 1337, 1060, 2529, 6177, 1009, 5508, 1627, 1005, 13122, 1048, 1026, 1128, 58, 4517, 6105, 1178, 2649, 2575, 1072, 1048, 1919, 5085, 1679, 6921, 21207, 2585, 1094, 1472, 1048, 3230, 11872, 12568, 1009, 1063, 3980, 3051, 4319, 1356, 2444, 1422, 5364, 1048, 18398, 4433, 5232, 1132, 15991, 19043, 1072, 2293, 12384, 1295, 19, 4927, 91, 1026, 1712, 1338, 7553, 1049, 2538, 1130, 1177, 20126, 5062, 1072, 13457, 1009, 1063, 3980, 3051, 20, 11938, 3027, 1054, 4350, 6546, 2266, 1048, 1327, 24476, 1005, 1009, 4318, 1060, 8240, 6075, 30666, 22832, 1048, 5553, 21027, 1955, 3993, 1027, 3019, 13457, 3106, 3980, 3051, 15, 1054, 2869, 2869, 1006, 5680, 2964, 1728, 1084, 16735, 8587, 1048, 1026, 13457, 1009, 1063, 3980, 3051, 18, 1680, 1159, 1132, 21207, 1166, 1072, 1592, 10023, 27832, 2585, 3027, 1006, 10695, 1048, 1622, 6098, 3019, 2868, 22311, 11764, 18515, 1027, 11377, 2475, 10913, 13952, 2084, 17573, 2128, 25953, 2995, 5385, 3232, 7, 17359, 11782, 2633, 1077, 1307, 4965, 1072, 2611, 1897, 11564, 1324, 1114, 3922, 1049, 7345, 1728, 4714, 17847, 1006, 10469, 1049, 19198, 1309, 1160, 5317, 1571, 31666, 1006, 10477, 3866, 1236, 1356, 17982, 4271, 6590, 1361, 1060, 9320, 10151, 1526, 1009, 9421, 1005, 31760, 17514, 1009, 5139, 10339, 1122, 3387, 16075, 1222, 26782, 3530, 6638, 37, 27333, 11142, 7, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 3989, 1605, 20367, 3381, 16040, 1667, 1766, 6638, 3634, 1178, 8518, 1166, 1114, 1345, 71, 2373, 2702, 2157, 14482, 23298, 626, 3915, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 1298, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1059, 4439, 2602, 1233, 10001, 22311, 11764, 6170, 2112, 1295, 1429, 9915, 5049, 2732, 2475, 10913, 13952, 2084, 17573, 16819, 3531, 21296, 25295, 8691, 1493, 12177, 28391, 86, 3794, 13244, 1005, 3587, 1043, 1006, 3028, 18555, 8691, 4805, 12947, 1068, 2930, 1641, 22311, 11764, 1940, 1425, 1112, 6075, 5992, 2224, 10913, 13952, 2084, 17573, 14248, 4059, 1605, 20367, 1156, 2112, 27422, 19535, 1037, 2315, 1124, 1569, 20385, 20, 1163, 1401, 1024, 8587, 1009, 12097, 1048, 18657, 1895, 2585, 1054, 6747, 1068, 11074, 1132, 5283, 1009, 31857, 1005, 26146, 1060, 19075, 1049, 2293, 11564, 1324, 20318, 1072, 4789, 1263, 1009, 5180, 1112, 1005, 1063, 7761, 1303, 1009, 6196, 2994, 4139, 58, 4517, 1349, 12660, 1357, 4948, 1024, 3426, 2882, 1324, 1106, 46, 54, 1005, 4549, 1010, 17551, 5322, 1009, 6130, 8763, 1005, 1049, 8460, 5292, 3812, 12792, 18678, 1068, 31348, 1005, 31347, 1132, 8016, 19043, 1356, 25267, 1337, 1060, 25295, 1009, 5508, 1627, 1054, 1570, 13864, 14530, 17814, 4320, 20878, 1118, 2191, 1009, 12336, 2964, 1273, 24804, 1726, 1783, 1005, 8879, 3547, 1580, 1054, 6130, 8763, 1005, 1072, 8460, 5292, 24894, 1026, 5847, 2824, 13888, 11437, 6616, 1596, 20137, 1068, 3540, 1009, 31857, 1005, 11610, 2094, 1005, 2824, 10459, 7678, 6616, 21929, 1054, 17674, 12536, 1005, 5271, 17001, 13033, 1068, 2916, 1009, 8060, 2414, 26, 1910, 1783, 10599, 1298, 9253, 1322, 1124, 3540, 1054, 2930, 2788, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 8334, 1166, 1196, 1013, 2018, 19313, 21, 22311, 11764, 2555, 18854, 1578, 10913, 13952, 2084, 17573, 17968, 4990, 2995, 1104, 4604, 1026, 7468, 1304, 1761, 75, 28356, 1091, 1096, 3872, 1068, 27260, 1005, 1073, 48, 3900, 2582, 1131, 1566, 29867, 1370, 1006, 4022, 22311, 11764, 1940, 1425, 1112, 6075, 5992, 1204, 10913, 13952, 2084, 17573, 2128, 24364, 1605, 20367, 6232, 2223, 1482, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 1298, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1059, 4439, 2602, 1233, 10001, 22311, 11764, 1467, 51, 44, 1158, 10913, 13952, 2084, 17573, 17968, 7157, 22286, 7, 9338, 1531, 3482, 6613, 1094, 4422, 1305, 8195, 25362, 1005, 2930, 5849, 4452, 1118, 1178, 2373, 7393, 1042, 1069, 626, 1356, 9295, 10445, 1160, 1325, 1054, 2930, 22547, 2800, 4800, 7304, 1006, 1668, 6552, 3900, 620, 1062, 22595, 2987, 1009, 10151, 1526, 1009, 7137, 1054, 1720, 1060, 7272, 1109, 13669, 25861, 1940, 1425, 1112, 6075, 5992, 10923, 10137, 13952, 2084, 17573, 14098, 3413, 22286, 20, 21781, 1006, 28450, 1076, 1049, 2611, 1897, 11564, 1324, 1006, 7272, 1976, 5924, 1094, 12655, 2987, 1009, 7137, 1071, 150, 16597, 17051, 25046, 5353, 15, 1206, 2073, 6902, 5066, 3335, 4678, 1206, 2999, 1054, 1720, 1060, 15279, 24160, 1084, 1511, 1234, 1026, 6204, 6840, 1009, 3638, 10966, 1373, 12105, 1253, 1048, 18398, 1167, 1006, 7689, 1009, 1356, 2444, 1307, 1646, 1009, 3513, 1054, 1044, 1187, 6921, 25243, 1072, 21570, 4484, 1156, 3019, 2611, 1897, 33, 1206, 23833, 1009, 26780, 18482, 1785, 29945, 1026, 1557, 1009, 3090, 1009, 3638, 1054, 1044, 1187, 6921, 25243, 1072, 21570, 4484, 1156, 3019, 28361, 1672, 7457, 1236, 1118, 9295, 10445, 6535, 1009, 27478, 5348, 1400, 1138, 7844, 1678, 7328, 10349, 3235, 8317, 1206, 3122, 3273, 4100, 1034, 4650, 12836, 1229, 27003, 1206, 1043, 1041, 1438, 1009, 5629, 8317, 3915, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1206, 1365, 1054, 4280, 1365, 1054, 4280, 1043, 1132, 3217, 1102, 1009, 29083, 1303, 1060, 8240, 6075, 30666, 29697, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 22311, 11764, 5, 62, 2575, 3404, 10913, 13952, 2084, 17573, 12150, 2704, 22286, 6033, 85, 3074, 19917, 1026, 6902, 1060, 1119, 3200, 10339, 1122, 3387, 20, 3275, 1595, 1089, 7793, 1109, 25816, 1016, 1005, 1323, 12252, 1975, 1898, 625, 5384, 3100, 1026, 18554, 82, 1100, 1049, 27889, 1060, 25816, 1728, 8601, 6204, 9608, 4659, 1054, 4280, 1043, 1006, 2759, 4553, 1356, 2611, 1897, 20, 1138, 4280, 1096, 27533, 1114, 3922, 1049, 2611, 1897, 30983, 8422, 3074, 2419, 1157, 1989, 2603, 20, 1205, 73, 3012, 5501, 1026, 4941, 9175, 1266, 11247, 2563, 9878, 8358, 4380, 32, 1068, 4694, 1044, 2743, 1068, 23267, 12391, 1461, 1094, 8239, 1060, 6338, 1009, 5673, 1049, 3338, 30086, 4961, 1054, 4305, 1026, 2743, 1206, 4230, 1009, 6866, 1009, 4961, 1009, 2252, 1124, 6296, 20507, 3900, 3624, 18, 1842, 2575, 25861, 1940, 1425, 1112, 6075, 5992, 10923, 10137, 13952, 2084, 17573, 14098, 5402, 1605, 20367, 1842, 1105, 1667, 1972, 12097, 9312, 1005, 4966, 1184, 1322, 1026, 2611, 1897, 11564, 1324, 1365, 1054, 4280, 2309, 10121, 1009, 5883, 1060, 8240, 6075, 30666, 29697, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 8482, 13197, 17266, 15, 1206, 1054, 2930, 13407, 1072, 1134, 4096, 1535, 10733, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 1605, 1820, 1342, 1060, 5027, 1479, 9832, 1074, 3727, 10913, 13952, 2084, 17573, 12715, 5963, 2555, 2448, 3171, 1213, 7340, 1006, 1944, 1765, 2354, 2762, 1030, 18777, 1048, 7340, 1006, 2921, 10469, 4202, 1030, 18777, 1702, 2863, 37, 25825, 4659, 1054, 4280, 1043, 1702, 2285, 1068, 13435, 2348, 9168, 37, 1138, 7345, 1016, 1973, 1048, 1998, 6581, 2122, 4734, 1043, 1026, 21361, 1348, 4228, 1051, 5992, 3377, 3985, 11764, 1940, 1425, 1112, 6075, 5992, 3734, 10913, 13952, 2084, 17573, 14586, 5402, 22286, 20, 1972, 12097, 9312, 1005, 4966, 1184, 1322, 1026, 2611, 1897, 11564, 1324, 5179, 1508, 1048, 1365, 1054, 4280, 1043, 1044, 1187, 3794, 3217, 1102, 1009, 29083, 1303, 4355, 4096, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 1206, 1054, 2930, 13407, 3447, 1157, 1026, 1134, 4096, 1535, 10733, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 19287, 1226, 18876, 27837, 14031, 16668, 3734, 10913, 13952, 2084, 17573, 17968, 2704, 6170, 3877, 13342, 3685, 1044, 2743, 1068, 6394, 4288, 1009, 4581, 3467, 1054, 9319, 15699, 11930, 1156, 3877, 27958, 5220, 9762, 1009, 29467, 1068, 1048, 1124, 3674, 1016, 6326, 1663, 1026, 4288, 20, 1138, 3124, 1009, 1503, 2593, 7004, 1157, 5220, 9762, 1009, 29467, 1068, 1124, 3674, 1016, 2111, 3890, 1072, 4288, 29642, 1048, 1318, 3100, 3098, 25440, 37, 25861, 1940, 1425, 1112, 6075, 5992, 3734, 10913, 13952, 2084, 17573, 14586, 2704, 1605, 20367, 26975, 20, 1972, 12097, 9312, 1005, 4966, 1184, 1322, 1026, 2611, 1897, 11564, 1324, 5179, 1508, 1048, 1365, 1054, 4280, 1043, 1044, 1187, 3794, 3217, 1102, 1009, 29083, 1303, 4355, 4096, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 1206, 1054, 2930, 13407, 3447, 1157, 1026, 1134, 4096, 1535, 10733, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 3528, 18066, 15913, 3771, 10913, 13952, 2084, 17573, 21501, 2721, 27333, 7296, 2237, 6222, 1048, 1006, 3497, 5992, 2237, 7004, 1157, 1068, 1006, 4263, 1054, 2357, 0, 18, 2449, 1044, 11797, 1184, 1998, 11830, 12875, 2364, 0, 18, 5082, 1047, 1048, 1160, 1060, 1184, 1557, 2340, 2449, 1009, 1663, 4330, 28011, 7206, 1009, 9526, 1044, 4280, 1043, 1006, 4422, 1159, 9133, 37, 25861, 1940, 1425, 1112, 6075, 5992 ]

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

[ 13367, 1254, 1559, 5940, 29575, 25, 8482, 13197, 17266, 1308, 24293, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 3008, 1302, 1040, 2787, 5827, 1551, 12216, 1084, 1647, 75, 10535, 10913, 13952, 2084, 17573, 21501, 8121, 2995, 1104, 1531, 2116, 1089, 18171, 1140, 1106, 46, 1072, 2803, 2124, 1223, 1079, 3748, 30228, 3075, 17189, 1325, 1493, 4417, 1068, 4982, 1495, 1068, 5115, 1026, 6648, 1028, 25861, 10664, 7567, 52, 2393, 1207, 2606, 5264, 20964, 1123, 2428, 39, 8260, 10913, 13952, 2084, 17573, 3295, 24781, 5, 17915, 2177, 8518, 1069, 1132, 8518, 1010, 1187, 6638, 9726, 1072, 8036, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 3851, 1605, 20367, 1313, 10257, 2652, 1766, 6638, 3634, 1178, 8518, 1166, 1114, 1345, 71, 2373, 2702, 2157, 14482, 23298, 626, 3915, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 1298, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1059, 4439, 2602, 1233, 10001, 22311, 11764, 1467, 1590, 20146, 16287, 1045, 8149, 10913, 13952, 2084, 17573, 3404, 28345, 2995, 5385, 9342, 2572, 8587, 1493, 18855, 2930, 2743, 4634, 1048, 1205, 26461, 5754, 1063, 3980, 3051, 1160, 1325, 1114, 2919, 2007, 9548, 14015, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 4994, 1605, 20367, 3859, 2570, 3336, 1163, 1401, 1024, 8587, 1009, 12097, 1048, 1006, 8240, 6075, 5992, 1096, 1094, 4422, 1305, 8195, 26124, 6875, 1048, 1225, 1118, 3489, 9004, 1130, 1005, 5719, 1124, 3540, 1009, 31857, 8826, 26146, 1009, 8016, 1048, 6583, 2869, 1043, 1026, 25267, 1337, 1060, 25295, 1009, 5508, 1627, 1054, 18995, 3306, 45, 1349, 5219, 7916, 1072, 4789, 1263, 1009, 5180, 1112, 1005, 1009, 1063, 7761, 1303, 1009, 6196, 2994, 4139, 58, 4517, 1565, 1138, 7301, 1009, 20511, 1213, 4365, 5120, 22389, 11047, 1005, 1142, 8076, 15432, 1132, 6921, 21207, 3983, 5153, 1026, 1128, 58, 4517, 18, 1072, 3338, 1009, 1063, 3980, 3051, 18, 1998, 5756, 5802, 1054, 1094, 14405, 3264, 3336, 1505, 2612, 2668, 1026, 3338, 1160, 1325, 12573, 9877, 1124, 10848, 10854, 1580, 1356, 2611, 1897, 11564, 75, 10599, 1298, 9253, 2089, 15740, 1060, 8240, 6075, 30666, 3447, 1157, 32, 18946, 11205, 3829, 1947, 22831, 1377, 23443, 22311, 11764, 5, 93, 6693, 2475, 10913, 13952, 2084, 17573, 14586, 5940, 2995, 5385, 3232, 5653, 1295, 1006, 1641, 1009, 1063, 3980, 3051, 1479, 14388, 1160, 1195, 10517, 1140, 1356, 17982, 37, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 4943, 1605, 20367, 7000, 20, 1163, 1401, 1024, 8587, 1009, 12097, 1048, 1006, 8240, 6075, 5992, 1096, 1094, 4422, 1305, 8195, 26124, 6875, 1048, 1225, 1118, 3489, 9004, 1130, 1005, 5719, 1124, 3540, 1009, 31857, 8826, 26146, 1009, 8016, 1048, 6583, 2869, 1043, 1026, 25267, 1337, 1060, 25295, 1009, 5508, 1627, 1054, 18995, 3306, 45, 1349, 5219, 7916, 1072, 4789, 1263, 1009, 5180, 1112, 1005, 1009, 1063, 7761, 1303, 1009, 6196, 2994, 4139, 58, 4517, 1565, 1138, 7301, 1009, 20511, 1213, 4365, 5120, 22389, 11047, 1005, 1142, 8076, 15432, 1132, 6921, 21207, 3983, 5153, 1026, 1128, 58, 4517, 18, 1072, 3338, 1009, 1063, 3980, 3051, 18, 1998, 5756, 5802, 1054, 1094, 14405, 3264, 3336, 1505, 2612, 2668, 1026, 3338, 1160, 1325, 12573, 9877, 1124, 10848, 10854, 1580, 1356, 2611, 1897, 11564, 75, 10599, 1298, 9253, 2089, 15740, 1060, 8240, 6075, 30666, 3447, 1157, 32, 18946, 11205, 3829, 1947, 22831, 1377, 23443, 22311, 11764, 3341, 1097, 1045, 1468, 3734, 10913, 13952, 2084, 17573, 1578, 28064, 2995, 5385, 9342, 22832, 1048, 1837, 1044, 1688, 5636, 19126, 1072, 1048, 1919, 5085, 1006, 4087, 1187, 5570, 1139, 2184, 19043, 1356, 25267, 1337, 1060, 2529, 6177, 1009, 5508, 1627, 1005, 13122, 1048, 1026, 1128, 58, 4517, 6105, 1178, 2649, 2575, 1072, 1048, 1919, 5085, 1679, 6921, 21207, 2585, 1094, 1472, 1048, 3230, 11872, 12568, 1009, 1063, 3980, 3051, 4319, 1356, 2444, 1422, 5364, 1048, 18398, 4433, 5232, 1132, 15991, 19043, 1072, 2293, 12384, 1295, 19, 4927, 91, 1026, 1712, 1338, 7553, 1049, 2538, 1130, 1177, 20126, 5062, 1072, 13457, 1009, 1063, 3980, 3051, 20, 11938, 3027, 1054, 4350, 6546, 2266, 1048, 1327, 24476, 1005, 1009, 4318, 1060, 8240, 6075, 30666, 22832, 1048, 5553, 21027, 1955, 3993, 1027, 3019, 13457, 3106, 3980, 3051, 15, 1054, 2869, 2869, 1006, 5680, 2964, 1728, 1084, 16735, 8587, 1048, 1026, 13457, 1009, 1063, 3980, 3051, 18, 1680, 1159, 1132, 21207, 1166, 1072, 1592, 10023, 27832, 2585, 3027, 1006, 10695, 1048, 1622, 6098, 3019, 2868, 22311, 11764, 18515, 1027, 11377, 2475, 10913, 13952, 2084, 17573, 2128, 25953, 2995, 5385, 3232, 7, 17359, 11782, 2633, 1077, 1307, 4965, 1072, 2611, 1897, 11564, 1324, 1114, 3922, 1049, 7345, 1728, 4714, 17847, 1006, 10469, 1049, 19198, 1309, 1160, 5317, 1571, 31666, 1006, 10477, 3866, 1236, 1356, 17982, 4271, 6590, 1361, 1060, 9320, 10151, 1526, 1009, 9421, 1005, 31760, 17514, 1009, 5139, 10339, 1122, 3387, 16075, 1222, 26782, 3530, 6638, 37, 27333, 11142, 7, 25861, 1940, 1425, 1112, 6075, 5992, 2523, 10913, 13952, 2084, 17573, 14940, 3989, 1605, 20367, 3381, 16040, 1667, 1766, 6638, 3634, 1178, 8518, 1166, 1114, 1345, 71, 2373, 2702, 2157, 14482, 23298, 626, 3915, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 1298, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1059, 4439, 2602, 1233, 10001, 22311, 11764, 6170, 2112, 1295, 1429, 9915, 5049, 2732, 2475, 10913, 13952, 2084, 17573, 16819, 3531, 21296, 25295, 8691, 1493, 12177, 28391, 86, 3794, 13244, 1005, 3587, 1043, 1006, 3028, 18555, 8691, 4805, 12947, 1068, 2930, 1641, 22311, 11764, 1940, 1425, 1112, 6075, 5992, 2224, 10913, 13952, 2084, 17573, 14248, 4059, 1605, 20367, 1156, 2112, 27422, 19535, 1037, 2315, 1124, 1569, 20385, 20, 1163, 1401, 1024, 8587, 1009, 12097, 1048, 18657, 1895, 2585, 1054, 6747, 1068, 11074, 1132, 5283, 1009, 31857, 1005, 26146, 1060, 19075, 1049, 2293, 11564, 1324, 20318, 1072, 4789, 1263, 1009, 5180, 1112, 1005, 1063, 7761, 1303, 1009, 6196, 2994, 4139, 58, 4517, 1349, 12660, 1357, 4948, 1024, 3426, 2882, 1324, 1106, 46, 54, 1005, 4549, 1010, 17551, 5322, 1009, 6130, 8763, 1005, 1049, 8460, 5292, 3812, 12792, 18678, 1068, 31348, 1005, 31347, 1132, 8016, 19043, 1356, 25267, 1337, 1060, 25295, 1009, 5508, 1627, 1054, 1570, 13864, 14530, 17814, 4320, 20878, 1118, 2191, 1009, 12336, 2964, 1273, 24804, 1726, 1783, 1005, 8879, 3547, 1580, 1054, 6130, 8763, 1005, 1072, 8460, 5292, 24894, 1026, 5847, 2824, 13888, 11437, 6616, 1596, 20137, 1068, 3540, 1009, 31857, 1005, 11610, 2094, 1005, 2824, 10459, 7678, 6616, 21929, 1054, 17674, 12536, 1005, 5271, 17001, 13033, 1068, 2916, 1009, 8060, 2414, 26, 1910, 1783, 10599, 1298, 9253, 1322, 1124, 3540, 1054, 2930, 2788, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 8334, 1166, 1196, 1013, 2018, 19313, 21, 22311, 11764, 2555, 18854, 1578, 10913, 13952, 2084, 17573, 17968, 4990, 2995, 1104, 4604, 1026, 7468, 1304, 1761, 75, 28356, 1091, 1096, 3872, 1068, 27260, 1005, 1073, 48, 3900, 2582, 1131, 1566, 29867, 1370, 1006, 4022, 22311, 11764, 1940, 1425, 1112, 6075, 5992, 1204, 10913, 13952, 2084, 17573, 2128, 24364, 1605, 20367, 6232, 2223, 1482, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 1298, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1059, 4439, 2602, 1233, 10001, 22311, 11764, 1467, 51, 44, 1158, 10913, 13952, 2084, 17573, 17968, 7157, 22286, 7, 9338, 1531, 3482, 6613, 1094, 4422, 1305, 8195, 25362, 1005, 2930, 5849, 4452, 1118, 1178, 2373, 7393, 1042, 1069, 626, 1356, 9295, 10445, 1160, 1325, 1054, 2930, 22547, 2800, 4800, 7304, 1006, 1668, 6552, 3900, 620, 1062, 22595, 2987, 1009, 10151, 1526, 1009, 7137, 1054, 1720, 1060, 7272, 1109, 13669, 25861, 1940, 1425, 1112, 6075, 5992, 10923, 10137, 13952, 2084, 17573, 14098, 3413, 22286, 20, 21781, 1006, 28450, 1076, 1049, 2611, 1897, 11564, 1324, 1006, 7272, 1976, 5924, 1094, 12655, 2987, 1009, 7137, 1071, 150, 16597, 17051, 25046, 5353, 15, 1206, 2073, 6902, 5066, 3335, 4678, 1206, 2999, 1054, 1720, 1060, 15279, 24160, 1084, 1511, 1234, 1026, 6204, 6840, 1009, 3638, 10966, 1373, 12105, 1253, 1048, 18398, 1167, 1006, 7689, 1009, 1356, 2444, 1307, 1646, 1009, 3513, 1054, 1044, 1187, 6921, 25243, 1072, 21570, 4484, 1156, 3019, 2611, 1897, 33, 1206, 23833, 1009, 26780, 18482, 1785, 29945, 1026, 1557, 1009, 3090, 1009, 3638, 1054, 1044, 1187, 6921, 25243, 1072, 21570, 4484, 1156, 3019, 28361, 1672, 7457, 1236, 1118, 9295, 10445, 6535, 1009, 27478, 5348, 1400, 1138, 7844, 1678, 7328, 10349, 3235, 8317, 1206, 3122, 3273, 4100, 1034, 4650, 12836, 1229, 27003, 1206, 1043, 1041, 1438, 1009, 5629, 8317, 3915, 2535, 1009, 9312, 1006, 5085, 1060, 7461, 1060, 29394, 1009, 7515, 2354, 2762, 1299, 9999, 15639, 1068, 1026, 6455, 32, 5875, 38, 86, 1209, 1728, 16595, 1206, 1365, 1054, 4280, 1365, 1054, 4280, 1043, 1132, 3217, 1102, 1009, 29083, 1303, 1060, 8240, 6075, 30666, 29697, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 22311, 11764, 5, 62, 2575, 3404, 10913, 13952, 2084, 17573, 12150, 2704, 22286, 6033, 85, 3074, 19917, 1026, 6902, 1060, 1119, 3200, 10339, 1122, 3387, 20, 3275, 1595, 1089, 7793, 1109, 25816, 1016, 1005, 1323, 12252, 1975, 1898, 625, 5384, 3100, 1026, 18554, 82, 1100, 1049, 27889, 1060, 25816, 1728, 8601, 6204, 9608, 4659, 1054, 4280, 1043, 1006, 2759, 4553, 1356, 2611, 1897, 20, 1138, 4280, 1096, 27533, 1114, 3922, 1049, 2611, 1897, 30983, 8422, 3074, 2419, 1157, 1989, 2603, 20, 1205, 73, 3012, 5501, 1026, 4941, 9175, 1266, 11247, 2563, 9878, 8358, 4380, 32, 1068, 4694, 1044, 2743, 1068, 23267, 12391, 1461, 1094, 8239, 1060, 6338, 1009, 5673, 1049, 3338, 30086, 4961, 1054, 4305, 1026, 2743, 1206, 4230, 1009, 6866, 1009, 4961, 1009, 2252, 1124, 6296, 20507, 3900, 3624, 18, 1842, 2575, 25861, 1940, 1425, 1112, 6075, 5992, 10923, 10137, 13952, 2084, 17573, 14098, 5402, 1605, 20367, 1842, 1105, 1667, 1972, 12097, 9312, 1005, 4966, 1184, 1322, 1026, 2611, 1897, 11564, 1324, 1365, 1054, 4280, 2309, 10121, 1009, 5883, 1060, 8240, 6075, 30666, 29697, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 8482, 13197, 17266, 15, 1206, 1054, 2930, 13407, 1072, 1134, 4096, 1535, 10733, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 1605, 1820, 1342, 1060, 5027, 1479, 9832, 1074, 3727, 10913, 13952, 2084, 17573, 12715, 5963, 2555, 2448, 3171, 1213, 7340, 1006, 1944, 1765, 2354, 2762, 1030, 18777, 1048, 7340, 1006, 2921, 10469, 4202, 1030, 18777, 1702, 2863, 37, 25825, 4659, 1054, 4280, 1043, 1702, 2285, 1068, 13435, 2348, 9168, 37, 1138, 7345, 1016, 1973, 1048, 1998, 6581, 2122, 4734, 1043, 1026, 21361, 1348, 4228, 1051, 5992, 3377, 3985, 11764, 1940, 1425, 1112, 6075, 5992, 3734, 10913, 13952, 2084, 17573, 14586, 5402, 22286, 20, 1972, 12097, 9312, 1005, 4966, 1184, 1322, 1026, 2611, 1897, 11564, 1324, 5179, 1508, 1048, 1365, 1054, 4280, 1043, 1044, 1187, 3794, 3217, 1102, 1009, 29083, 1303, 4355, 4096, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 1206, 1054, 2930, 13407, 3447, 1157, 1026, 1134, 4096, 1535, 10733, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 19287, 1226, 18876, 27837, 14031, 16668, 3734, 10913, 13952, 2084, 17573, 17968, 2704, 6170, 3877, 13342, 3685, 1044, 2743, 1068, 6394, 4288, 1009, 4581, 3467, 1054, 9319, 15699, 11930, 1156, 3877, 27958, 5220, 9762, 1009, 29467, 1068, 1048, 1124, 3674, 1016, 6326, 1663, 1026, 4288, 20, 1138, 3124, 1009, 1503, 2593, 7004, 1157, 5220, 9762, 1009, 29467, 1068, 1124, 3674, 1016, 2111, 3890, 1072, 4288, 29642, 1048, 1318, 3100, 3098, 25440, 37, 25861, 1940, 1425, 1112, 6075, 5992, 3734, 10913, 13952, 2084, 17573, 14586, 2704, 1605, 20367, 26975, 20, 1972, 12097, 9312, 1005, 4966, 1184, 1322, 1026, 2611, 1897, 11564, 1324, 5179, 1508, 1048, 1365, 1054, 4280, 1043, 1044, 1187, 3794, 3217, 1102, 1009, 29083, 1303, 4355, 4096, 1356, 8079, 8260, 1254, 1559, 5940, 29575, 25, 1206, 1054, 2930, 13407, 3447, 1157, 1026, 1134, 4096, 1535, 10733, 32, 18946, 11205, 3829, 1947, 22831, 1377, 3395, 15664, 4096, 19, 1469, 10733, 21, 22311, 11764, 3528, 18066, 15913, 3771, 10913, 13952, 2084, 17573, 21501, 2721, 27333, 7296, 2237, 6222, 1048, 1006, 3497, 5992, 2237, 7004, 1157, 1068, 1006, 4263, 1054, 2357, 0, 18, 2449, 1044, 11797, 1184, 1998, 11830, 12875, 2364, 0, 18, 5082, 1047, 1048, 1160, 1060, 1184, 1557, 2340, 2449, 1009, 1663, 4330, 28011, 7206, 1009, 9526, 1044, 4280, 1043, 1006, 4422, 1159, 9133, 37, 25861, 1940, 1425, 1112, 6075, 5992 ]

[ 19617, 1009, 13106, 1976, 11034, 1159, 17870, 1009, 4209, 22326, 1005, 5674, 5783, 10310, 1048, 1006, 2729, 19394, 1026, 6573, 1054, 10743, 1927, 1096, 1094, 3593, 2064, 2762, 1309, 1318, 1693, 6631, 1026, 2123, 1295, 1049, 3099, 1068, 12245, 21079, 1048, 4616, 1046, 13674, 1054, 14288, 8068, 1406, 7845, 30627, 11816, 1026, 10451, 1054, 21301, 3514, 9872, 17600, 1165, 1803, 1919, 1048, 1132, 22317, 6510, 1178, 5399, 1009, 1456, 13857, 6718, 2266, 2831, 6657, 1043, 21810, 1005, 10310, 1048, 4109, 1009, 9613, 1668, 6490, 2177, 2649, 1396, 2647, 2340, 1026, 3129, 1049, 19617, 2177, 6407, 1114, 9273, 1060, 6992, 1049, 29105, 20, 1, 8528, 4314, 14915, 3988, 31817, 86, 9565, 1175, 22968, 1797, 8535, 1051, 1112, 1005, 5351, 1009, 8528, 4314, 14915, 3988, 31817, 86, 9565, 8539, 26995, 1009, 8528, 4314, 14915, 3988, 31817, 9565, 1655, 23861, 67, 3812, 6124, 32, 6196, 1051, 1112, 1005, 5351, 1009, 8528, 4314, 14915, 3988, 31817, 86, 9565, 2503, 1889, 2168, 1713, 32, 1204, 1009, 2992, 1009, 1578, 4700, 2555, 2437, 1145, 1005, 2089, 12493, 32, 1982, 1212, 14363, 7813, 3500, 1049, 5568, 1041, 15337, 2904, 1568, 95, 8153, 1049, 4280, 32, 30091, 5504, 41, 4212, 18, 5826, 20, 25013, 1123, 51, 52, 5523, 9860, 2981, 1102, 2135, 5504, 41, 4212, 10222, 2938, 1060, 3289, 32, 8149, 7942, 4700, 29, 5784, 2135, 1008, 1137, 3406, 10301, 19, 4829, 19, 6507, 3949, 6165, 23, 2555, 6124, 32, 1955, 26995, 1009, 8528, 4314, 14915, 3988, 31817, 9565, 1655, 23861, 67, 15208, 2938, 1060, 3289, 32, 8149, 7942, 4700, 29, 4990, 2135, 1008, 1137, 3406, 10301, 19, 4829, 8741, 5205, 25, 6165, 23, 4354, 2535, 1060, 1387, 89, 8010, 1114, 22515, 1060, 3781, 27669, 19, 4104, 2789, 2860, 7985, 5096, 1009, 1158, 1009, 3042, 1009, 9856, 2534, 1114, 22844, 1434, 1009, 16440, 3926, 1044, 20696, 1243, 1169, 14700, 1792, 4234, 31391, 1167, 1074, 14523, 8961, 1025, 9366, 3983, 2013, 1026, 2738, 1009, 1044, 2568, 20188, 1083, 1048, 2155, 8405, 3256, 1132, 16815, 1005, 2997, 1006, 5574, 1233, 24672, 1048, 1132, 1860, 3243, 1127, 1126, 1094, 5042, 31173, 20, 1063, 4538, 2094, 1048, 2755, 1054, 2191, 1006, 20765, 1009, 3781, 1043, 1006, 2677, 19990, 1005, 1044, 6490, 1009, 7753, 4507, 4506, 10028, 18800, 1048, 1026, 11248, 10289, 2816, 1068, 5242, 1024, 1006, 21651, 1009, 6514, 6435, 7063, 9169, 2494, 7443, 1357, 1944, 5326, 7428, 1075, 1438, 10259, 6776, 3240, 1114, 1387, 89, 26323, 1791, 1009, 1456, 15533, 26053, 1068, 2808, 1132, 7109, 1011, 1822, 4205, 1018, 1049, 5102, 25193, 1009, 2256, 2816, 1167, 2864, 8528, 4314, 14915, 3988, 31817, 86, 9565, 20, 1766, 3145, 26840, 28019, 1048, 1132, 24984, 1049, 6377, 4905, 1046, 1009, 2837, 31315, 1250, 1094, 1928, 9745, 1318, 2813, 1040, 1043, 1026, 5029, 8287, 4114, 5970, 7929, 5986, 1456, 7180, 13381, 1114, 1944, 3922, 32, 6835, 3830, 1006, 22844, 1434, 1009, 16440, 3926, 1132, 11572, 1271, 10017, 1584, 22725, 3259, 1072, 30969, 11211, 2297, 18, 1026, 6786, 1009, 11956, 6731, 2584, 5351, 31173, 1383, 12690, 2156, 1064, 1177, 4900, 4065, 18892, 1357, 7862, 29260, 1073, 17958, 1021, 7056, 132, 86, 8409, 11059, 14040, 2170, 1009, 6672, 5521, 3532, 1040, 1006, 8324, 20726, 1048, 24191, 1118, 1160, 7813, 1439, 1026, 7374, 22408, 3909, 10908, 1049, 8241, 1009, 16440, 1021, 24196, 10403, 1188, 1118, 1044, 1187, 9938, 1888, 1060, 31209, 8628, 15212, 1107, 1302, 18, 31817, 86, 22111, 2259, 8287, 1060, 1387, 89, 8010, 1159, 1006, 2531, 1048, 20728, 1792, 18, 1195, 14613, 1233, 3248, 1054, 4984, 1009, 31928, 23509, 1235, 17993, 1009, 10190, 1112, 1005, 1235, 17993, 1009, 1373, 1040, 1272, 2281, 9934, 24710, 1264, 1195, 2025, 9823, 90, 3350, 1054, 1204, 1009, 2992, 1009, 1578, 4700, 1054, 3349, 1233, 6862, 1009, 3769, 7504, 1133, 1533, 1944, 9525, 4277, 1006, 30921, 1009, 4062, 3769, 7504, 5920, 1566, 24327, 5051, 24056, 1776, 3709, 1060, 4250, 5823, 1026, 1613, 1045, 1027, 10930, 6238, 9047, 10824, 3033, 1132, 4679, 6390, 1049, 6674, 1599, 1006, 2306, 1289, 1792, 1356, 25380, 1005, 1006, 2306, 7350, 1044, 23473, 1174, 1483, 1667, 1766, 1791, 4031, 1327, 30300, 1356, 19292, 1009, 6068, 1009, 8276, 1575, 1092, 1005, 1357, 14501, 1060, 26683, 8729, 1208, 1004, 0, 53, 1020, 2196, 1048, 11755, 1026, 7552, 1118, 1094, 1359, 12996, 1776, 20005, 1233, 20216, 1325, 1006, 2025, 9823, 90, 1342, 1054, 3349, 1060, 1428, 1026, 1429, 1170, 3426, 8528, 6898, 1368, 23288, 4242, 1038, 1950, 2975, 12255, 1159, 1927, 1043, 1094, 1322, 4753, 3829, 18428, 1005, 1094, 2635, 1889, 29947, 1325, 14822, 1006, 1663, 1235, 2011, 6033, 2750, 3289, 1054, 3333, 1154, 1196, 1118, 1044, 1064, 3784, 31817, 86, 22111, 1009, 12159, 16757, 5742, 2166, 24304, 1072, 1752, 10563, 2351, 1620, 14296, 1356, 15467, 10930, 96, 2223, 2200, 1318, 1096, 22323, 1118, 2487, 85, 1699, 6898, 1368, 23288, 30634, 18, 1026, 6680, 1060, 1067, 176, 1829, 5280, 2464, 1495, 1026, 3810, 5847, 11056, 6256, 1048, 14069, 31890, 1456, 1011, 1822, 4205, 2223, 4242, 1038, 1950, 78, 2364, 1096, 29360, 1118, 1119, 1089, 1245, 2652, 1766, 9935, 1009, 29597, 1620, 1826, 31502, 1309, 1132, 26895, 1009, 3233, 2509, 1596, 31148, 1118, 28987, 14380, 1006, 3815, 1667, 2858, 13216, 1054, 1831, 4367, 1233, 21898, 9047, 31889, 1068, 6529, 1044, 8270, 17386, 9806, 1016, 2156, 8794, 1638, 2370, 1494, 14962, 1006, 6654, 31173, 2429, 10647, 1009, 1762, 28759, 1067, 1324, 1072, 19198, 1132, 7363, 1010, 13136, 1657, 1463, 14867, 1271, 29375, 1072, 23476, 1857, 14888, 1046, 1054, 6019, 1049, 12604, 2341, 1005, 11109, 1040, 1132, 17558, 1166, 1187, 10155, 24572, 13361, 1627, 1048, 1006, 6935, 1225, 9120, 1054, 1201, 1870, 1826, 2653, 3761, 5430, 1309, 1318, 4031, 1009, 6509, 4525, 1159, 9316, 4869, 31153, 3205, 4510, 1018, 8972, 1829, 1434, 1206, 17244, 8502, 1103, 1051, 8412, 18, 1048, 26565, 1044, 3066, 1726, 9078, 3229, 1009, 31817, 86, 9565, 20, 675, 6889, 1094, 3289, 1006, 20650, 1044, 16590, 8561, 1006, 4022, 32, 1026, 14613, 1160, 1096, 1026, 13445, 1776, 19198, 1325, 1009, 2303, 1043, 1006, 7923, 4661, 1118, 30634, 18, 1026, 6680, 1060, 1067, 176, 1829, 158, 32, 1264, 1566, 3449, 7836, 1005, 3449, 1413, 1660, 2270, 2494, 31501, 7720, 1264, 1058, 7081, 1336, 5233, 1068, 1058, 4531, 4202, 1026, 14963, 29977, 1005, 15185, 12452, 1357, 7271, 1072, 2803, 1009, 1224, 6862, 20, 9528, 2097, 1072, 2738, 1049, 2204, 14777, 1005, 1060, 6935, 18144, 1034, 1114, 11553, 5937, 1009, 11247, 2563, 1005, 13517, 4159, 1049, 4905, 1599, 1213, 5768, 1049, 1752, 10563, 2351, 31817, 86, 9565, 1160, 1096, 1184, 2191, 30794, 1005, 2191, 1033, 1153, 20, 2800, 1058, 1058, 5348, 1053, 7765, 1114, 12665, 1264, 7035, 2252, 1124, 1569, 1033, 9858, 1915, 15379, 2204, 3628, 1569, 5813, 2811, 25928, 11991, 1273, 3928, 4525, 5592, 2227, 8, 12118, 8969, 12154, 1294, 14267, 1005, 1048, 1026, 3525, 1146, 1291, 1160, 4277, 1184, 4908, 3009, 7745, 75, 2719, 6864, 9970, 1026, 8746, 21299, 1144, 3979, 3274, 18, 1124, 1319, 3544, 4905, 1046, 1132, 8343, 1016, 1054, 2700, 1009, 4207, 1094, 2716, 6640, 1068, 1456, 19531, 4846, 5153, 11530, 1026, 14921, 28293, 1038, 1889, 31817, 86, 9565, 7035, 2693, 16051, 1009, 4918, 1005, 8857, 1213, 6313, 1054, 1044, 1784, 9781, 3335, 3050, 1069, 1118, 8528, 2882, 2024, 4358, 14446, 2115, 7691, 1005, 1734, 6674, 3983, 2605, 1072, 27505, 1989, 21865, 28274, 1058, 4312, 1044, 4575, 1009, 1768, 2762, 23224, 1006, 1752, 2017, 2568, 3724, 8409, 1044, 15877, 22818, 1221, 1187, 1064, 2147, 1005, 1846, 1187, 4533, 1005, 5283, 1009, 4132, 2098, 27200, 27590, 9543, 46, 2053, 42, 2581, 18, 31817, 86, 22111, 10727, 4691, 1021, 7144, 3947, 23491, 2487, 85, 1699, 6898, 1368, 23288, 11434, 39, 14083, 6854, 1082, 1191, 2109, 2106, 10727, 31768, 158, 1126, 5855, 28616, 2059, 1142, 2393, 13901, 18, 30928, 8124, 1114, 1387, 89, 8010, 1005, 1072, 8100, 1060, 9174, 1144, 1662, 2196, 11614, 1018, 2342, 1041, 1214, 1074, 1009, 1144, 1662, 2196, 29718, 51, 2628, 13762, 18814, 3831, 11151, 7426, 31817, 86, 9565, 29923, 18117, 27349, 11306, 1406, 1098, 20908, 46, 2575, 13830, 1028, 12394, 18054, 2992, 1009, 2026, 2023, 12823, 1699, 31439, 3640, 6854, 2045, 31817, 86, 1736, 29923, 71, 8607, 15187, 8241, 1009, 16440, 1021, 27349, 31, 14976, 4700, 1349, 19745, 1054, 2042, 1071, 1060, 5257, 20, 1349, 2342, 18081, 7083, 12877, 31427, 20908, 4416, 8217, 1434, 5724, 15153, 7402, 156, 1102, 1324, 19669, 1271, 21601, 1049, 6872, 2769, 1009, 9522, 1005, 11698, 1887, 6745, 11072, 2468, 85, 3801, 1150, 4416, 2001, 1009, 8525, 1453, 16315, 1054, 7331, 1406, 10727, 1123, 51, 52, 4314, 52, 9472, 22839, 1, 11568, 8899, 5019, 1009, 7846, 1060, 7569, 18547, 1225, 2360, 11990, 12796, 2806, 18414, 24526, 3475, 1026, 12391, 1027, 1068, 3236, 4243, 1868, 1170, 73, 2669, 1187, 5751, 1005, 3236, 11123, 1163, 24931, 19068, 27241, 1009, 1062, 1753, 3342, 1005, 20565, 1027, 96, 5489, 10663, 1605, 6134, 18414, 24526, 3475, 1026, 12391, 1027, 1060, 11990, 1049, 5019, 1009, 7846, 1060, 7569, 18547, 1009, 19056, 14997, 4228, 51, 56, 54, 1565, 1138, 3435, 1060, 8151, 1195, 14547, 1356, 6680, 1049, 14751, 1114, 5096, 2429, 9307, 15883, 1349, 1890, 1006, 2128, 0, 6127, 1049, 2985, 8015, 1048, 5687, 1118, 16389, 1469, 2938, 1704, 6134, 1009, 1062, 1753, 12802, 3236, 4243, 1868, 1170, 73, 2669, 1187, 11815, 9038, 1006, 11990, 18, 1005, 1026, 6134, 1009, 20565, 1027, 96, 5489, 3236, 11123, 1163, 24931, 19068, 9038, 1026, 5333, 1009, 12884, 3301, 17339, 6718, 1026, 12391, 1027, 1068, 7110, 1005, 21013, 1048, 16752, 1068, 10312, 1094, 12213, 11042, 18, 1054, 2220, 1989, 12381, 1026, 5019, 10639, 20, 1063, 28436, 1006, 9822, 1009, 5685, 1048, 1006, 4614, 1043, 2509, 1005, 21013, 1048, 3074, 1493, 28221, 1493, 7079, 1009, 4125, 1026, 12391, 3320, 1587, 1296, 1370, 1048, 1026, 3394, 10257, 15524, 1195, 1044, 1807, 13512, 1114, 8231, 1310, 3874, 1005, 1048, 7110, 1693, 6242, 12049, 1005, 1043, 1006, 2348, 2759, 1406, 4979, 3915, 3261, 1009, 6813, 24526, 1195, 28014, 2670, 1049, 5019, 1009, 7846, 1060, 7569, 12424, 5221, 1992, 1159, 1026, 6134, 1009, 5723, 1065, 2565, 3236, 6656, 3394, 10257, 22746, 1195, 28014, 12884, 18, 1044, 1901, 1986, 1006, 8151, 4313, 1068, 1132, 1429, 31640, 1054, 4161, 7297, 7662, 1356, 20582, 12884, 1005, 1357, 25031, 25679, 3106, 19934, 2135, 1482, 1212, 9867, 1565, 4986, 75, 1213, 9295, 5149, 1124, 5502, 8317, 1009, 4961, 15179, 1365, 1132, 4496, 6824, 29218, 32, 9993, 1005, 2490, 1049, 17650, 5407, 1005, 2380, 3745, 1304, 10241, 18, 3050, 2094, 30105, 28077, 2191, 16664, 3090, 31037, 5883, 9226, 5609, 1400, 17092, 1005, 18679, 9993, 17797, 1060, 3227, 15289, 3480, 28176, 27439, 5978, 6451, 1005, 3140, 7546, 1054, 7838, 1009, 14608, 1206, 27953, 5232, 1356, 11230, 5651, 3617, 1, 1842, 1046, 4706, 1114, 2858, 72, 4565, 32, 11144, 1411, 4007, 3607, 1359, 20298, 1475, 1018, 3141, 1095, 1350, 1136, 1049, 3066, 3943, 25906, 1175, 3064, 5084, 1726, 22502, 1016, 1184, 4264, 7364, 1452, 8, 1175, 15001, 7400, 1142, 3814, 1089, 13050, 2135, 41, 9867, 1049, 21841, 1479, 6202, 1945, 1083, 1377, 17985, 1479, 3030, 1009, 6911, 1, 10878, 15193, 19227, 1057, 11478, 1061, 8199, 1271, 18568, 1187, 6780, 1005, 6921, 1060, 4630, 12256, 1054, 1782, 10913, 14318, 1726, 16473, 4368, 1605, 4632, 6278, 1009, 8346, 1727, 1009, 23182, 30249, 15193, 1349, 1054, 10068, 1726, 1569, 18869, 2872, 4743, 1054, 2256, 6780, 1060, 30602, 18, 19227, 1124, 15740, 1187, 6780, 1005, 6921, 22522, 13282, 1026, 1057, 11478, 1061, 8199, 10268, 1009, 1569, 18568, 1043, 1006, 4630, 20, 2034, 5376, 1294, 26276, 22250, 21275, 2214, 1391, 1294, 4679, 1984, 2864, 2271, 1048, 1596, 10044, 1166, 1132, 17274, 1009, 3497, 1259, 3170, 1271, 18568, 1060, 4630, 1043, 2138, 1005, 3623, 1912, 4261, 29544, 1006, 6717, 19934, 1068, 8238, 1009, 10963, 7284, 24478, 1250, 7314, 2170, 1159, 2349, 2641, 4195, 1187, 7871, 1009, 31547, 1361, 20, 4499, 1326, 2344, 3240, 1006, 25332, 5957, 1112, 30028, 2271, 8925, 11897, 2017, 3759, 1046, 1930, 18622, 15419, 4863, 1005, 1184, 28891, 8523, 1009, 8172, 1294, 6022, 1060, 5993, 2275, 5122, 8348, 5300, 1132, 3974, 1479, 6937, 24478, 1271, 8238, 1009, 10963, 1005, 1060, 17614, 1479, 1837, 26276, 1068, 1048, 1006, 4630, 7548, 1126, 24968, 1043, 1132, 1090, 2585, 1026, 1057, 11478, 1061, 8199, 1271, 18568, 3497, 31263, 5616, 1072, 1852, 1187, 1646, 1844, 3211, 1, 14667, 2856, 1063, 24329, 1094, 1359, 3746, 9347, 1126, 20903, 1009, 8794, 1009, 3187, 13482, 1005, 12623, 2872, 1273, 3994, 1043, 1044, 31313, 9607, 6867, 1078, 2270, 1776, 1881, 31998, 1096, 1686, 2274, 7003, 1009, 22410, 1009, 12623, 1244, 2370, 1043, 2604, 2925, 1009, 2115, 30591, 9496, 1009, 1155, 1609, 156, 3789, 1005, 22663, 4065 ]

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

[ 19617, 1009, 13106, 1976, 11034, 1159, 17870, 1009, 4209, 22326, 1005, 5674, 5783, 10310, 1048, 1006, 2729, 19394, 1026, 6573, 1054, 10743, 1927, 1096, 1094, 3593, 2064, 2762, 1309, 1318, 1693, 6631, 1026, 2123, 1295, 1049, 3099, 1068, 12245, 21079, 1048, 4616, 1046, 13674, 1054, 14288, 8068, 1406, 7845, 30627, 11816, 1026, 10451, 1054, 21301, 3514, 9872, 17600, 1165, 1803, 1919, 1048, 1132, 22317, 6510, 1178, 5399, 1009, 1456, 13857, 6718, 2266, 2831, 6657, 1043, 21810, 1005, 10310, 1048, 4109, 1009, 9613, 1668, 6490, 2177, 2649, 1396, 2647, 2340, 1026, 3129, 1049, 19617, 2177, 6407, 1114, 9273, 1060, 6992, 1049, 29105, 20, 1, 8528, 4314, 14915, 3988, 31817, 86, 9565, 1175, 22968, 1797, 8535, 1051, 1112, 1005, 5351, 1009, 8528, 4314, 14915, 3988, 31817, 86, 9565, 8539, 26995, 1009, 8528, 4314, 14915, 3988, 31817, 9565, 1655, 23861, 67, 3812, 6124, 32, 6196, 1051, 1112, 1005, 5351, 1009, 8528, 4314, 14915, 3988, 31817, 86, 9565, 2503, 1889, 2168, 1713, 32, 1204, 1009, 2992, 1009, 1578, 4700, 2555, 2437, 1145, 1005, 2089, 12493, 32, 1982, 1212, 14363, 7813, 3500, 1049, 5568, 1041, 15337, 2904, 1568, 95, 8153, 1049, 4280, 32, 30091, 5504, 41, 4212, 18, 5826, 20, 25013, 1123, 51, 52, 5523, 9860, 2981, 1102, 2135, 5504, 41, 4212, 10222, 2938, 1060, 3289, 32, 8149, 7942, 4700, 29, 5784, 2135, 1008, 1137, 3406, 10301, 19, 4829, 19, 6507, 3949, 6165, 23, 2555, 6124, 32, 1955, 26995, 1009, 8528, 4314, 14915, 3988, 31817, 9565, 1655, 23861, 67, 15208, 2938, 1060, 3289, 32, 8149, 7942, 4700, 29, 4990, 2135, 1008, 1137, 3406, 10301, 19, 4829, 8741, 5205, 25, 6165, 23, 4354, 2535, 1060, 1387, 89, 8010, 1114, 22515, 1060, 3781, 27669, 19, 4104, 2789, 2860, 7985, 5096, 1009, 1158, 1009, 3042, 1009, 9856, 2534, 1114, 22844, 1434, 1009, 16440, 3926, 1044, 20696, 1243, 1169, 14700, 1792, 4234, 31391, 1167, 1074, 14523, 8961, 1025, 9366, 3983, 2013, 1026, 2738, 1009, 1044, 2568, 20188, 1083, 1048, 2155, 8405, 3256, 1132, 16815, 1005, 2997, 1006, 5574, 1233, 24672, 1048, 1132, 1860, 3243, 1127, 1126, 1094, 5042, 31173, 20, 1063, 4538, 2094, 1048, 2755, 1054, 2191, 1006, 20765, 1009, 3781, 1043, 1006, 2677, 19990, 1005, 1044, 6490, 1009, 7753, 4507, 4506, 10028, 18800, 1048, 1026, 11248, 10289, 2816, 1068, 5242, 1024, 1006, 21651, 1009, 6514, 6435, 7063, 9169, 2494, 7443, 1357, 1944, 5326, 7428, 1075, 1438, 10259, 6776, 3240, 1114, 1387, 89, 26323, 1791, 1009, 1456, 15533, 26053, 1068, 2808, 1132, 7109, 1011, 1822, 4205, 1018, 1049, 5102, 25193, 1009, 2256, 2816, 1167, 2864, 8528, 4314, 14915, 3988, 31817, 86, 9565, 20, 1766, 3145, 26840, 28019, 1048, 1132, 24984, 1049, 6377, 4905, 1046, 1009, 2837, 31315, 1250, 1094, 1928, 9745, 1318, 2813, 1040, 1043, 1026, 5029, 8287, 4114, 5970, 7929, 5986, 1456, 7180, 13381, 1114, 1944, 3922, 32, 6835, 3830, 1006, 22844, 1434, 1009, 16440, 3926, 1132, 11572, 1271, 10017, 1584, 22725, 3259, 1072, 30969, 11211, 2297, 18, 1026, 6786, 1009, 11956, 6731, 2584, 5351, 31173, 1383, 12690, 2156, 1064, 1177, 4900, 4065, 18892, 1357, 7862, 29260, 1073, 17958, 1021, 7056, 132, 86, 8409, 11059, 14040, 2170, 1009, 6672, 5521, 3532, 1040, 1006, 8324, 20726, 1048, 24191, 1118, 1160, 7813, 1439, 1026, 7374, 22408, 3909, 10908, 1049, 8241, 1009, 16440, 1021, 24196, 10403, 1188, 1118, 1044, 1187, 9938, 1888, 1060, 31209, 8628, 15212, 1107, 1302, 18, 31817, 86, 22111, 2259, 8287, 1060, 1387, 89, 8010, 1159, 1006, 2531, 1048, 20728, 1792, 18, 1195, 14613, 1233, 3248, 1054, 4984, 1009, 31928, 23509, 1235, 17993, 1009, 10190, 1112, 1005, 1235, 17993, 1009, 1373, 1040, 1272, 2281, 9934, 24710, 1264, 1195, 2025, 9823, 90, 3350, 1054, 1204, 1009, 2992, 1009, 1578, 4700, 1054, 3349, 1233, 6862, 1009, 3769, 7504, 1133, 1533, 1944, 9525, 4277, 1006, 30921, 1009, 4062, 3769, 7504, 5920, 1566, 24327, 5051, 24056, 1776, 3709, 1060, 4250, 5823, 1026, 1613, 1045, 1027, 10930, 6238, 9047, 10824, 3033, 1132, 4679, 6390, 1049, 6674, 1599, 1006, 2306, 1289, 1792, 1356, 25380, 1005, 1006, 2306, 7350, 1044, 23473, 1174, 1483, 1667, 1766, 1791, 4031, 1327, 30300, 1356, 19292, 1009, 6068, 1009, 8276, 1575, 1092, 1005, 1357, 14501, 1060, 26683, 8729, 1208, 1004, 0, 53, 1020, 2196, 1048, 11755, 1026, 7552, 1118, 1094, 1359, 12996, 1776, 20005, 1233, 20216, 1325, 1006, 2025, 9823, 90, 1342, 1054, 3349, 1060, 1428, 1026, 1429, 1170, 3426, 8528, 6898, 1368, 23288, 4242, 1038, 1950, 2975, 12255, 1159, 1927, 1043, 1094, 1322, 4753, 3829, 18428, 1005, 1094, 2635, 1889, 29947, 1325, 14822, 1006, 1663, 1235, 2011, 6033, 2750, 3289, 1054, 3333, 1154, 1196, 1118, 1044, 1064, 3784, 31817, 86, 22111, 1009, 12159, 16757, 5742, 2166, 24304, 1072, 1752, 10563, 2351, 1620, 14296, 1356, 15467, 10930, 96, 2223, 2200, 1318, 1096, 22323, 1118, 2487, 85, 1699, 6898, 1368, 23288, 30634, 18, 1026, 6680, 1060, 1067, 176, 1829, 5280, 2464, 1495, 1026, 3810, 5847, 11056, 6256, 1048, 14069, 31890, 1456, 1011, 1822, 4205, 2223, 4242, 1038, 1950, 78, 2364, 1096, 29360, 1118, 1119, 1089, 1245, 2652, 1766, 9935, 1009, 29597, 1620, 1826, 31502, 1309, 1132, 26895, 1009, 3233, 2509, 1596, 31148, 1118, 28987, 14380, 1006, 3815, 1667, 2858, 13216, 1054, 1831, 4367, 1233, 21898, 9047, 31889, 1068, 6529, 1044, 8270, 17386, 9806, 1016, 2156, 8794, 1638, 2370, 1494, 14962, 1006, 6654, 31173, 2429, 10647, 1009, 1762, 28759, 1067, 1324, 1072, 19198, 1132, 7363, 1010, 13136, 1657, 1463, 14867, 1271, 29375, 1072, 23476, 1857, 14888, 1046, 1054, 6019, 1049, 12604, 2341, 1005, 11109, 1040, 1132, 17558, 1166, 1187, 10155, 24572, 13361, 1627, 1048, 1006, 6935, 1225, 9120, 1054, 1201, 1870, 1826, 2653, 3761, 5430, 1309, 1318, 4031, 1009, 6509, 4525, 1159, 9316, 4869, 31153, 3205, 4510, 1018, 8972, 1829, 1434, 1206, 17244, 8502, 1103, 1051, 8412, 18, 1048, 26565, 1044, 3066, 1726, 9078, 3229, 1009, 31817, 86, 9565, 20, 675, 6889, 1094, 3289, 1006, 20650, 1044, 16590, 8561, 1006, 4022, 32, 1026, 14613, 1160, 1096, 1026, 13445, 1776, 19198, 1325, 1009, 2303, 1043, 1006, 7923, 4661, 1118, 30634, 18, 1026, 6680, 1060, 1067, 176, 1829, 158, 32, 1264, 1566, 3449, 7836, 1005, 3449, 1413, 1660, 2270, 2494, 31501, 7720, 1264, 1058, 7081, 1336, 5233, 1068, 1058, 4531, 4202, 1026, 14963, 29977, 1005, 15185, 12452, 1357, 7271, 1072, 2803, 1009, 1224, 6862, 20, 9528, 2097, 1072, 2738, 1049, 2204, 14777, 1005, 1060, 6935, 18144, 1034, 1114, 11553, 5937, 1009, 11247, 2563, 1005, 13517, 4159, 1049, 4905, 1599, 1213, 5768, 1049, 1752, 10563, 2351, 31817, 86, 9565, 1160, 1096, 1184, 2191, 30794, 1005, 2191, 1033, 1153, 20, 2800, 1058, 1058, 5348, 1053, 7765, 1114, 12665, 1264, 7035, 2252, 1124, 1569, 1033, 9858, 1915, 15379, 2204, 3628, 1569, 5813, 2811, 25928, 11991, 1273, 3928, 4525, 5592, 2227, 8, 12118, 8969, 12154, 1294, 14267, 1005, 1048, 1026, 3525, 1146, 1291, 1160, 4277, 1184, 4908, 3009, 7745, 75, 2719, 6864, 9970, 1026, 8746, 21299, 1144, 3979, 3274, 18, 1124, 1319, 3544, 4905, 1046, 1132, 8343, 1016, 1054, 2700, 1009, 4207, 1094, 2716, 6640, 1068, 1456, 19531, 4846, 5153, 11530, 1026, 14921, 28293, 1038, 1889, 31817, 86, 9565, 7035, 2693, 16051, 1009, 4918, 1005, 8857, 1213, 6313, 1054, 1044, 1784, 9781, 3335, 3050, 1069, 1118, 8528, 2882, 2024, 4358, 14446, 2115, 7691, 1005, 1734, 6674, 3983, 2605, 1072, 27505, 1989, 21865, 28274, 1058, 4312, 1044, 4575, 1009, 1768, 2762, 23224, 1006, 1752, 2017, 2568, 3724, 8409, 1044, 15877, 22818, 1221, 1187, 1064, 2147, 1005, 1846, 1187, 4533, 1005, 5283, 1009, 4132, 2098, 27200, 27590, 9543, 46, 2053, 42, 2581, 18, 31817, 86, 22111, 10727, 4691, 1021, 7144, 3947, 23491, 2487, 85, 1699, 6898, 1368, 23288, 11434, 39, 14083, 6854, 1082, 1191, 2109, 2106, 10727, 31768, 158, 1126, 5855, 28616, 2059, 1142, 2393, 13901, 18, 30928, 8124, 1114, 1387, 89, 8010, 1005, 1072, 8100, 1060, 9174, 1144, 1662, 2196, 11614, 1018, 2342, 1041, 1214, 1074, 1009, 1144, 1662, 2196, 29718, 51, 2628, 13762, 18814, 3831, 11151, 7426, 31817, 86, 9565, 29923, 18117, 27349, 11306, 1406, 1098, 20908, 46, 2575, 13830, 1028, 12394, 18054, 2992, 1009, 2026, 2023, 12823, 1699, 31439, 3640, 6854, 2045, 31817, 86, 1736, 29923, 71, 8607, 15187, 8241, 1009, 16440, 1021, 27349, 31, 14976, 4700, 1349, 19745, 1054, 2042, 1071, 1060, 5257, 20, 1349, 2342, 18081, 7083, 12877, 31427, 20908, 4416, 8217, 1434, 5724, 15153, 7402, 156, 1102, 1324, 19669, 1271, 21601, 1049, 6872, 2769, 1009, 9522, 1005, 11698, 1887, 6745, 11072, 2468, 85, 3801, 1150, 4416, 2001, 1009, 8525, 1453, 16315, 1054, 7331, 1406, 10727, 1123, 51, 52, 4314, 52, 9472, 22839, 1, 11568, 8899, 5019, 1009, 7846, 1060, 7569, 18547, 1225, 2360, 11990, 12796, 2806, 18414, 24526, 3475, 1026, 12391, 1027, 1068, 3236, 4243, 1868, 1170, 73, 2669, 1187, 5751, 1005, 3236, 11123, 1163, 24931, 19068, 27241, 1009, 1062, 1753, 3342, 1005, 20565, 1027, 96, 5489, 10663, 1605, 6134, 18414, 24526, 3475, 1026, 12391, 1027, 1060, 11990, 1049, 5019, 1009, 7846, 1060, 7569, 18547, 1009, 19056, 14997, 4228, 51, 56, 54, 1565, 1138, 3435, 1060, 8151, 1195, 14547, 1356, 6680, 1049, 14751, 1114, 5096, 2429, 9307, 15883, 1349, 1890, 1006, 2128, 0, 6127, 1049, 2985, 8015, 1048, 5687, 1118, 16389, 1469, 2938, 1704, 6134, 1009, 1062, 1753, 12802, 3236, 4243, 1868, 1170, 73, 2669, 1187, 11815, 9038, 1006, 11990, 18, 1005, 1026, 6134, 1009, 20565, 1027, 96, 5489, 3236, 11123, 1163, 24931, 19068, 9038, 1026, 5333, 1009, 12884, 3301, 17339, 6718, 1026, 12391, 1027, 1068, 7110, 1005, 21013, 1048, 16752, 1068, 10312, 1094, 12213, 11042, 18, 1054, 2220, 1989, 12381, 1026, 5019, 10639, 20, 1063, 28436, 1006, 9822, 1009, 5685, 1048, 1006, 4614, 1043, 2509, 1005, 21013, 1048, 3074, 1493, 28221, 1493, 7079, 1009, 4125, 1026, 12391, 3320, 1587, 1296, 1370, 1048, 1026, 3394, 10257, 15524, 1195, 1044, 1807, 13512, 1114, 8231, 1310, 3874, 1005, 1048, 7110, 1693, 6242, 12049, 1005, 1043, 1006, 2348, 2759, 1406, 4979, 3915, 3261, 1009, 6813, 24526, 1195, 28014, 2670, 1049, 5019, 1009, 7846, 1060, 7569, 12424, 5221, 1992, 1159, 1026, 6134, 1009, 5723, 1065, 2565, 3236, 6656, 3394, 10257, 22746, 1195, 28014, 12884, 18, 1044, 1901, 1986, 1006, 8151, 4313, 1068, 1132, 1429, 31640, 1054, 4161, 7297, 7662, 1356, 20582, 12884, 1005, 1357, 25031, 25679, 3106, 19934, 2135, 1482, 1212, 9867, 1565, 4986, 75, 1213, 9295, 5149, 1124, 5502, 8317, 1009, 4961, 15179, 1365, 1132, 4496, 6824, 29218, 32, 9993, 1005, 2490, 1049, 17650, 5407, 1005, 2380, 3745, 1304, 10241, 18, 3050, 2094, 30105, 28077, 2191, 16664, 3090, 31037, 5883, 9226, 5609, 1400, 17092, 1005, 18679, 9993, 17797, 1060, 3227, 15289, 3480, 28176, 27439, 5978, 6451, 1005, 3140, 7546, 1054, 7838, 1009, 14608, 1206, 27953, 5232, 1356, 11230, 5651, 3617, 1, 1842, 1046, 4706, 1114, 2858, 72, 4565, 32, 11144, 1411, 4007, 3607, 1359, 20298, 1475, 1018, 3141, 1095, 1350, 1136, 1049, 3066, 3943, 25906, 1175, 3064, 5084, 1726, 22502, 1016, 1184, 4264, 7364, 1452, 8, 1175, 15001, 7400, 1142, 3814, 1089, 13050, 2135, 41, 9867, 1049, 21841, 1479, 6202, 1945, 1083, 1377, 17985, 1479, 3030, 1009, 6911, 1, 10878, 15193, 19227, 1057, 11478, 1061, 8199, 1271, 18568, 1187, 6780, 1005, 6921, 1060, 4630, 12256, 1054, 1782, 10913, 14318, 1726, 16473, 4368, 1605, 4632, 6278, 1009, 8346, 1727, 1009, 23182, 30249, 15193, 1349, 1054, 10068, 1726, 1569, 18869, 2872, 4743, 1054, 2256, 6780, 1060, 30602, 18, 19227, 1124, 15740, 1187, 6780, 1005, 6921, 22522, 13282, 1026, 1057, 11478, 1061, 8199, 10268, 1009, 1569, 18568, 1043, 1006, 4630, 20, 2034, 5376, 1294, 26276, 22250, 21275, 2214, 1391, 1294, 4679, 1984, 2864, 2271, 1048, 1596, 10044, 1166, 1132, 17274, 1009, 3497, 1259, 3170, 1271, 18568, 1060, 4630, 1043, 2138, 1005, 3623, 1912, 4261, 29544, 1006, 6717, 19934, 1068, 8238, 1009, 10963, 7284, 24478, 1250, 7314, 2170, 1159, 2349, 2641, 4195, 1187, 7871, 1009, 31547, 1361, 20, 4499, 1326, 2344, 3240, 1006, 25332, 5957, 1112, 30028, 2271, 8925, 11897, 2017, 3759, 1046, 1930, 18622, 15419, 4863, 1005, 1184, 28891, 8523, 1009, 8172, 1294, 6022, 1060, 5993, 2275, 5122, 8348, 5300, 1132, 3974, 1479, 6937, 24478, 1271, 8238, 1009, 10963, 1005, 1060, 17614, 1479, 1837, 26276, 1068, 1048, 1006, 4630, 7548, 1126, 24968, 1043, 1132, 1090, 2585, 1026, 1057, 11478, 1061, 8199, 1271, 18568, 3497, 31263, 5616, 1072, 1852, 1187, 1646, 1844, 3211, 1, 14667, 2856, 1063, 24329, 1094, 1359, 3746, 9347, 1126, 20903, 1009, 8794, 1009, 3187, 13482, 1005, 12623, 2872, 1273, 3994, 1043, 1044, 31313, 9607, 6867, 1078, 2270, 1776, 1881, 31998, 1096, 1686, 2274, 7003, 1009, 22410, 1009, 12623, 1244, 2370, 1043, 2604, 2925, 1009, 2115, 30591, 9496, 1009, 1155, 1609, 156, 3789, 1005, 22663, 4065 ]

[ 1955, 1165, 13934, 1841, 1005, 5065, 1153, 3554, 1377, 20253, 1927, 1009, 2539, 26990, 9133, 14883, 4619, 11655, 1787, 2348, 5131, 20, 2656, 6581, 9135, 1026, 1211, 76, 5831, 1009, 1564, 17806, 1009, 8048, 4065, 1009, 11172, 1715, 3530, 1048, 1160, 1323, 15792, 5758, 1048, 1657, 31818, 1160, 1096, 5434, 1068, 4855, 1006, 3597, 20, 4789, 29282, 21653, 2457, 1160, 3901, 14961, 1663, 1005, 4311, 3144, 1138, 1784, 2733, 1096, 7003, 1009, 19665, 4851, 1068, 2306, 1160, 1008, 4719, 1072, 9616, 1005, 9047, 18829, 1305, 1124, 1728, 1084, 1160, 26104, 6141, 1054, 3469, 2318, 1273, 1160, 4145, 4918, 9175, 1503, 1566, 8476, 2754, 2624, 17357, 1118, 16759, 3961, 14789, 1717, 1132, 13797, 1103, 1019, 1218, 1018, 1726, 18061, 4990, 1422, 5812, 32, 17562, 1068, 2237, 12195, 1, 2358, 1549, 7110, 1064, 1975, 1006, 1015, 12244, 1009, 1044, 3066, 1048, 1294, 1195, 19293, 1118, 1094, 2123, 6018, 21700, 4896, 1165, 14424, 1005, 7998, 1126, 29771, 6285, 15687, 83, 2628, 2057, 1095, 7947, 79, 1019, 1087, 1199, 25256, 1479, 1687, 1225, 1044, 1700, 8041, 7003, 1009, 3638, 7, 1349, 1048, 1096, 1094, 7640, 5231, 1068, 4085, 1048, 15284, 1046, 1043, 3978, 1005, 1318, 1068, 1132, 4090, 1048, 16353, 12219, 2219, 1026, 2568, 1009, 13260, 1187, 5089, 4578, 2306, 1058, 3194, 1079, 1356, 11725, 1264, 1096, 1060, 10812, 13247, 29624, 9837, 1005, 7110, 1693, 22615, 3433, 1054, 3056, 1862, 1007, 1092, 1728, 1246, 27917, 1048, 16005, 1048, 1160, 1058, 3241, 11684, 10204, 1322, 1668, 9151, 2072, 25727, 1005, 9885, 1048, 3100, 17456, 1026, 3445, 3590, 1127, 1040, 1048, 1096, 4445, 1323, 7449, 1511, 1323, 1952, 86, 1194, 1009, 4327, 2457, 1456, 4101, 20707, 2017, 3700, 12438, 1235, 10683, 2947, 1184, 20445, 23193, 2457, 1638, 4776, 20458, 1235, 2823, 4458, 1271, 9441, 4525, 2289, 6698, 2143, 8575, 4752, 16655, 1178, 1493, 13154, 4355, 1029, 1046, 1048, 1323, 1849, 1147, 1288, 2754, 10593, 1678, 1011, 4787, 1054, 5242, 2350, 8898, 1069, 4525, 3048, 5192, 1159, 9202, 27214, 10691, 1202, 1048, 2039, 85, 1159, 29811, 4540, 23355, 1024, 7, 1073, 7282, 1160, 3100, 17456, 1206, 3100, 37, 2013, 1044, 9151, 1801, 1265, 1029, 3858, 1098, 16489, 5336, 1726, 2624, 10608, 3335, 4215, 1098, 2527, 17054, 18072, 18474, 1091, 7, 30385, 17146, 7, 1084, 1511, 1323, 4374, 21771, 1009, 14622, 6853, 37, 1073, 1153, 1006, 1803, 11486, 4614, 7, 6062, 2604, 2979, 7, 4153, 22104, 4781, 1100, 1006, 18348, 1411, 27272, 5136, 24323, 1048, 3865, 1210, 19619, 1034, 1168, 3308, 16364, 1294, 1929, 1056, 1089, 1229, 1114, 8048, 1411, 1072, 11246, 7, 6383, 1104, 2276, 1026, 1048, 3754, 1511, 3100, 7916, 1009, 1510, 1262, 1343, 7, 3735, 4564, 1044, 1187, 12418, 1058, 9656, 1126, 1305, 3603, 1463, 21430, 1758, 1060, 7427, 1054, 2092, 1720, 1005, 1049, 1011, 5415, 1197, 1013, 8152, 1048, 1058, 10333, 8027, 1188, 37, 6062, 1096, 25347, 1262, 4547, 1049, 1032, 2037, 8351, 1100, 9058, 4547, 25193, 2998, 25660, 1160, 1004, 3893, 1096, 4805, 2239, 3276, 1055, 7, 3885, 1323, 2896, 1174, 1221, 1043, 3530, 2125, 4679, 11172, 1009, 10882, 3819, 7, 3275, 1462, 3420, 13032, 11172, 12199, 1010, 1005, 12818, 1365, 4369, 19689, 1048, 2909, 4417, 3754, 1054, 10486, 2880, 2220, 2092, 7856, 3482, 1079, 16690, 1100, 29794, 11058, 14737, 7021, 14737, 1455, 17907, 23987, 1318, 2383, 3511, 3445, 10182, 4141, 3478, 1317, 4289, 1651, 1906, 2457, 1198, 1046, 5695, 1005, 1511, 29871, 1054, 1224, 5131, 3100, 3201, 5417, 1118, 9843, 1715, 53, 2092, 16015, 29953, 1061, 20573, 7, 44, 1221, 1495, 24180, 2647, 1309, 4230, 1395, 15535, 1930, 1726, 2624, 1592, 1305, 11146, 18, 3748, 1009, 1044, 2289, 1068, 1323, 1289, 19276, 12871, 2089, 23541, 10627, 1006, 2348, 3349, 1005, 3100, 1044, 1807, 4244, 1577, 3482, 1079, 1006, 28139, 1165, 2027, 1005, 1026, 30422, 1048, 1294, 4279, 6313, 5177, 1278, 2328, 1009, 2073, 1094, 1271, 5220, 23541, 1879, 13352, 6226, 3048, 1976, 20674, 1787, 2237, 5133, 32, 1004, 27785, 17593, 2013, 2637, 1048, 1058, 7035, 1511, 1026, 4318, 1060, 15534, 1058, 2521, 5595, 1114, 9473, 1049, 2792, 1005, 1132, 4106, 7857, 11952, 1480, 1049, 1249, 20617, 1876, 7930, 1202, 1060, 6925, 1006, 29650, 2027, 1009, 1048, 1124, 2516, 6857, 1963, 4433, 20, 1073, 1154, 29650, 19366, 1026, 1048, 675, 0, 11955, 1184, 1256, 3915, 1097, 16364, 2170, 1068, 1160, 16005, 1318, 10160, 1118, 11726, 1033, 1089, 5484, 1903, 1370, 2239, 3719, 2160, 29755, 1213, 12465, 1348, 1118, 1160, 1178, 14364, 27065, 20, 11938, 4800, 16529, 1048, 1006, 6925, 2900, 1058, 10692, 1024, 1043, 1094, 8459, 25753, 1054, 17058, 7762, 5412, 8464, 1005, 1294, 9372, 1048, 1620, 1327, 22777, 675, 0, 11955, 1184, 1715, 1, 1138, 4288, 1009, 7564, 12104, 1392, 1060, 26625, 48, 1096, 1026, 1184, 5485, 1049, 12343, 5447, 1054, 3310, 3218, 1138, 4288, 29921, 5035, 1118, 1224, 23959, 2485, 1048, 4279, 1006, 29473, 1009, 1094, 6735, 1009, 19766, 1395, 1719, 3589, 1356, 7051, 1072, 3090, 10293, 1005, 2952, 1005, 1114, 12935, 6164, 20, 15560, 2930, 2823, 2603, 3017, 1048, 2612, 1043, 4412, 2381, 1544, 1009, 4320, 6296, 1009, 8299, 1005, 1043, 3838, 7689, 1054, 15411, 25038, 21874, 1114, 7050, 3803, 7290, 16508, 1096, 1006, 1009, 3823, 1094, 4581, 31410, 21565, 3794, 4988, 1068, 30844, 1371, 1132, 8813, 1009, 1048, 1026, 1908, 1880, 9561, 1, 2800, 2177, 1026, 4409, 1060, 11827, 16578, 1005, 1587, 19667, 37, 1175, 18159, 1047, 12572, 2275, 1722, 2503, 21058, 8587, 1482, 26142, 16067, 15021, 7256, 2878, 8217, 1060, 10227, 2320, 1021, 6393, 1006, 6679, 1233, 4960, 32, 1479, 3943, 1048, 15309, 1048, 2155, 1178, 1006, 1834, 1986, 18420, 1068, 1124, 28954, 1005, 1006, 11827, 16578, 1005, 1587, 19667, 1072, 2357, 28634, 1044, 15058, 3707, 1009, 1664, 10770, 1005, 1048, 1318, 8589, 3506, 1006, 4008, 1009, 6419, 1055, 1005, 6506, 1009, 2823, 1068, 8900, 1800, 1160, 1998, 1026, 29932, 20131, 1309, 1318, 1132, 5635, 7730, 1010, 1048, 2237, 5132, 2571, 18728, 3004, 1005, 1048, 1058, 19548, 1945, 1213, 2729, 1009, 2088, 3952, 4441, 5726, 12165, 1391, 1006, 1151, 1093, 1526, 3775, 1044, 13020, 2863, 1005, 1068, 1026, 4898, 1060, 11827, 16578, 1005, 1587, 19667, 1044, 5620, 8967, 1054, 1048, 13122, 1048, 1998, 1132, 1184, 9673, 13900, 1233, 4464, 20, 4378, 2236, 1054, 4788, 1048, 23808, 1100, 1096, 1006, 1060, 11827, 16578, 1005, 1587, 19667, 1054, 7838, 1009, 20220, 31288, 1884, 5194, 1140, 1043, 1026, 8737, 2769, 1009, 14193, 1571, 2733, 1105, 2682, 1006, 1712, 1751, 1060, 2779, 2328, 1009, 22658, 7457, 1580, 1294, 11511, 1009, 2926, 2309, 9305, 1009, 2531, 1058, 3580, 1040, 1006, 11511, 22094, 1068, 1006, 5351, 1187, 1456, 15427, 1005, 15049, 1009, 10313, 3243, 1199, 4441, 3794, 4209, 17680, 83, 1118, 3230, 1664, 1132, 7872, 1309, 1096, 1043, 6443, 1005, 1043, 3408, 13636, 1048, 1006, 10026, 1009, 5621, 1162, 13655, 1026, 1235, 6940, 26869, 2374, 1072, 5549, 10227, 2320, 9188, 1678, 2374, 1318, 1072, 3266, 4898, 20, 1084, 1058, 5756, 4286, 31782, 1048, 1026, 2930, 15058, 30901, 3241, 1895, 1599, 1195, 2237, 4008, 1009, 5501, 1800, 1009, 1871, 21551, 1233, 3028, 3349, 1132, 21516, 1060, 14047, 1990, 1054, 2500, 5518, 1009, 2220, 1005, 2073, 2143, 12651, 4578, 1668, 29221, 4319, 1048, 1261, 1006, 10525, 1009, 1178, 1800, 1006, 2783, 6238, 1068, 5719, 1800, 1043, 12929, 3202, 2637, 1048, 1294, 4172, 9126, 1068, 1048, 1033, 3434, 2315, 1664, 9973, 1166, 1068, 9149, 1800, 1124, 19814, 1060, 1853, 2596, 12338, 2340, 1124, 1783, 1043, 15629, 41, 89, 1160, 5087, 162, 1479, 5087, 1040, 10094, 1124, 1569, 14344, 1463, 11946, 1758, 6266, 1631, 5832, 1009, 1201, 17016, 1049, 29932, 6002, 1349, 1005, 2089, 12818, 11855, 1048, 1026, 5832, 1381, 1043, 1048, 9545, 25608, 1187, 7042, 1009, 2926, 1184, 5500, 1452, 3915, 5635, 1009, 6647, 1096, 2512, 1160, 13739, 12242, 3830, 1847, 1033, 28441, 1615, 15387, 1800, 1006, 7397, 1627, 2340, 1096, 1114, 15096, 8828, 1005, 1318, 25233, 1048, 21802, 1132, 2861, 2314, 27398, 1048, 7191, 1040, 1213, 3189, 1005, 1213, 3439, 1184, 9443, 1068, 1048, 1664, 13984, 17506, 6313, 1006, 1834, 1159, 1006, 12816, 1048, 2374, 3154, 2154, 1005, 1114, 11827, 16578, 1005, 1587, 19667, 1503, 13122, 1048, 1026, 9607, 1005, 1006, 19880, 1365, 1783, 1381, 1006, 5267, 1005, 3054, 10460, 1026, 8679, 1009, 9389, 1124, 5314, 1054, 6019, 1049, 3189, 1009, 2693, 1005, 2073, 27234, 6788, 1837, 3616, 1054, 1048, 1318, 1160, 2449, 9312, 1096, 1114, 4008, 1009, 1752, 1178, 6819, 1261, 1009, 1058, 1057, 11286, 1754, 18, 1009, 11146, 1927, 1663, 1184, 1005, 12653, 1005, 1009, 1058, 8773, 1024, 4109, 1009, 2073, 27326, 20, 8466, 3235, 1096, 3879, 1672, 1309, 1664, 9973, 1166, 1043, 1044, 5944, 1021, 1348, 3707, 32, 4389, 8607, 1084, 1096, 9126, 1009, 2453, 1068, 18518, 1005, 1009, 2979, 1068, 2453, 30961, 4929, 1184, 4764, 1061, 1041, 2585, 1309, 1118, 1702, 7065, 3449, 6027, 1048, 1132, 2250, 1009, 2011, 1327, 3879, 5048, 14530, 1054, 5426, 7122, 1043, 1006, 2921, 22741, 1005, 10029, 5680, 8512, 1664, 1132, 2250, 32, 22630, 2602, 1006, 8817, 1009, 17675, 10303, 18, 1006, 8817, 1009, 31521, 1124, 17737, 1271, 6048, 1009, 9436, 1664, 1132, 7872, 1495, 3449, 1048, 4929, 1006, 8347, 1184, 1048, 1072, 17778, 1060, 3028, 27922, 1309, 1160, 4929, 20, 2013, 2512, 4877, 1263, 8396, 4682, 2340, 1998, 1992, 31114, 1054, 6019, 1060, 3865, 3707, 1096, 1048, 2167, 19000, 25327, 5680, 8113, 1005, 6423, 1800, 1726, 6444, 1043, 1044, 1807, 10683, 1249, 1524, 1069, 1114, 3028, 6925, 6788, 4803, 3659, 3460, 1846, 1009, 2289, 20356, 1058, 4803, 5711, 1006, 4524, 1068, 4389, 4492, 1058, 2155, 2220, 1026, 8208, 1178, 3879, 1672, 1160, 2449, 4697, 9168, 1048, 1992, 1026, 2374, 6843, 1780, 8396, 6141, 1048, 4292, 1927, 1044, 13984, 18, 1005, 1048, 3062, 1090, 10939, 1068, 11860, 1068, 1026, 1048, 1009, 1184, 29540, 4292, 32, 5319, 1006, 3450, 1009, 1834, 1005, 1006, 6728, 1009, 1834, 1009, 13054, 14738, 1006, 3963, 1990, 1072, 3709, 1187, 7042, 1009, 2926, 1048, 3634, 1178, 27953, 22517, 1026, 24981, 1049, 4942, 1482, 26142, 25899, 1072, 4449, 27533, 1072, 5979, 1009, 29077, 1009, 15463, 5045, 1358, 1586, 1833, 27233, 25899, 17008, 21497, 2878, 8217, 5549, 10227, 2320, 1021, 6393, 27627, 1017, 6364, 1130, 1093, 1023, 11441, 1442, 25958, 16340, 25958, 16340, 1072, 4409, 4409, 1060, 13664, 7192, 1005, 1009, 27234, 1025, 76, 88, 1026, 1692, 1373, 1021, 6393, 7967, 2926, 1, 11428, 7796, 32, 39, 2838, 5487, 1009, 4209, 32, 27889, 1068, 29559, 1207, 19786, 1221, 5059, 1212, 1100, 11079, 31442, 1062, 2431, 1069, 5, 2471, 22, 1009, 1487, 8186, 40, 1081, 1177, 1005, 7395, 31947, 1298, 18140, 18771, 20361, 1665, 1308, 6795, 29, 23621, 21768, 1152, 2322, 30, 2649, 7237, 21768, 3996, 75, 1267, 1021, 1063, 3590, 3198, 71, 1026, 16581, 1184, 5350, 2784, 1058, 1160, 6678, 1484, 1362, 1114, 1751, 7511, 1381, 1493, 18532, 1213, 13435, 21455, 2340, 1026, 8948, 2947, 18211, 1114, 7617, 1231, 8422, 19137, 1006, 6347, 10058, 1118, 1048, 1160, 2449, 1159, 9854, 1006, 13057, 1184, 17485, 6601, 1096, 15185, 1005, 22339, 1068, 1026, 1484, 1362, 1009, 21455, 22700, 7, 1, 1106, 1489, 1239, 21956, 1316, 1036, 1068, 18641, 159, 16277, 5217, 1602, 1252, 1164, 1175, 20893, 41, 10478, 2995, 1489, 1239, 21956, 1316, 1036, 1068, 18641, 159, 16277, 5217, 1602, 1252, 1164, 10229, 2742, 15194, 2220, 1026, 11323, 1005, 3227, 1068, 1026, 1235, 10425, 1114, 3907, 1049, 12957, 37, 1063, 1106, 1489, 1239, 21956, 1316, 1036, 1068, 18641, 159, 16277, 5217, 1602, 1252, 1164, 3134, 3725, 2115, 2889, 27141, 1005, 1096, 1493, 24858, 7043, 1134, 4256, 1009, 6631, 18, 12262, 1439, 1005, 7887, 3144, 1424, 3651, 1162, 16320, 1043, 10045, 1348, 16310, 3969, 1599, 1006, 7581, 1239, 4351, 2693, 1006, 9626, 1149, 1068, 1094, 10669, 10957, 1072, 2803, 1009, 2997, 12957, 1072, 10425, 1533, 2618, 1009, 1106, 1489, 2032, 21956, 1316, 1036, 1096, 7322, 1068, 1132, 7581, 1010, 1187, 8752, 4328, 2812, 7425, 1063, 4008, 10058, 1009, 5875, 1096, 1009, 1158, 81, 14594, 14935, 1026, 10425, 1495, 1782, 19912, 2536, 1782, 21739, 1009, 11950, 1138, 4168, 3134, 1718, 1081, 1095, 1239, 6919, 5916, 17828, 1009, 3319, 6460, 1009, 3111, 1005, 1607, 12314, 1068, 2617, 1303, 1009, 11950, 1063, 7581, 1239, 1068, 10425, 21956, 1316, 1036, 1318, 2612, 1043, 12611, 13535, 1068, 6518, 2617, 1303, 1060, 10413, 5993, 10172, 1026, 1557, 1060, 10669, 10957, 1533, 7581, 1239, 1298, 1178, 9124, 1305, 1026, 5875, 20, 10077, 1009, 5501, 1006, 10413, 1745, 1336, 1026, 1008, 1468, 1009, 13834, 75, 1060, 1607, 1103, 2469, 5062, 1072, 4249, 1060, 7581, 10871, 1972, 1184, 10367, 1005, 9741, 3784, 1006, 7581, 1239, 2612, 1043, 5249, 2447, 1463, 17210, 1728, 1134, 4256, 1009, 12262, 1439, 1005, 21367, 1511, 21432, 1063, 7581, 1239, 21956 ]

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

[ 1955, 1165, 13934, 1841, 1005, 5065, 1153, 3554, 1377, 20253, 1927, 1009, 2539, 26990, 9133, 14883, 4619, 11655, 1787, 2348, 5131, 20, 2656, 6581, 9135, 1026, 1211, 76, 5831, 1009, 1564, 17806, 1009, 8048, 4065, 1009, 11172, 1715, 3530, 1048, 1160, 1323, 15792, 5758, 1048, 1657, 31818, 1160, 1096, 5434, 1068, 4855, 1006, 3597, 20, 4789, 29282, 21653, 2457, 1160, 3901, 14961, 1663, 1005, 4311, 3144, 1138, 1784, 2733, 1096, 7003, 1009, 19665, 4851, 1068, 2306, 1160, 1008, 4719, 1072, 9616, 1005, 9047, 18829, 1305, 1124, 1728, 1084, 1160, 26104, 6141, 1054, 3469, 2318, 1273, 1160, 4145, 4918, 9175, 1503, 1566, 8476, 2754, 2624, 17357, 1118, 16759, 3961, 14789, 1717, 1132, 13797, 1103, 1019, 1218, 1018, 1726, 18061, 4990, 1422, 5812, 32, 17562, 1068, 2237, 12195, 1, 2358, 1549, 7110, 1064, 1975, 1006, 1015, 12244, 1009, 1044, 3066, 1048, 1294, 1195, 19293, 1118, 1094, 2123, 6018, 21700, 4896, 1165, 14424, 1005, 7998, 1126, 29771, 6285, 15687, 83, 2628, 2057, 1095, 7947, 79, 1019, 1087, 1199, 25256, 1479, 1687, 1225, 1044, 1700, 8041, 7003, 1009, 3638, 7, 1349, 1048, 1096, 1094, 7640, 5231, 1068, 4085, 1048, 15284, 1046, 1043, 3978, 1005, 1318, 1068, 1132, 4090, 1048, 16353, 12219, 2219, 1026, 2568, 1009, 13260, 1187, 5089, 4578, 2306, 1058, 3194, 1079, 1356, 11725, 1264, 1096, 1060, 10812, 13247, 29624, 9837, 1005, 7110, 1693, 22615, 3433, 1054, 3056, 1862, 1007, 1092, 1728, 1246, 27917, 1048, 16005, 1048, 1160, 1058, 3241, 11684, 10204, 1322, 1668, 9151, 2072, 25727, 1005, 9885, 1048, 3100, 17456, 1026, 3445, 3590, 1127, 1040, 1048, 1096, 4445, 1323, 7449, 1511, 1323, 1952, 86, 1194, 1009, 4327, 2457, 1456, 4101, 20707, 2017, 3700, 12438, 1235, 10683, 2947, 1184, 20445, 23193, 2457, 1638, 4776, 20458, 1235, 2823, 4458, 1271, 9441, 4525, 2289, 6698, 2143, 8575, 4752, 16655, 1178, 1493, 13154, 4355, 1029, 1046, 1048, 1323, 1849, 1147, 1288, 2754, 10593, 1678, 1011, 4787, 1054, 5242, 2350, 8898, 1069, 4525, 3048, 5192, 1159, 9202, 27214, 10691, 1202, 1048, 2039, 85, 1159, 29811, 4540, 23355, 1024, 7, 1073, 7282, 1160, 3100, 17456, 1206, 3100, 37, 2013, 1044, 9151, 1801, 1265, 1029, 3858, 1098, 16489, 5336, 1726, 2624, 10608, 3335, 4215, 1098, 2527, 17054, 18072, 18474, 1091, 7, 30385, 17146, 7, 1084, 1511, 1323, 4374, 21771, 1009, 14622, 6853, 37, 1073, 1153, 1006, 1803, 11486, 4614, 7, 6062, 2604, 2979, 7, 4153, 22104, 4781, 1100, 1006, 18348, 1411, 27272, 5136, 24323, 1048, 3865, 1210, 19619, 1034, 1168, 3308, 16364, 1294, 1929, 1056, 1089, 1229, 1114, 8048, 1411, 1072, 11246, 7, 6383, 1104, 2276, 1026, 1048, 3754, 1511, 3100, 7916, 1009, 1510, 1262, 1343, 7, 3735, 4564, 1044, 1187, 12418, 1058, 9656, 1126, 1305, 3603, 1463, 21430, 1758, 1060, 7427, 1054, 2092, 1720, 1005, 1049, 1011, 5415, 1197, 1013, 8152, 1048, 1058, 10333, 8027, 1188, 37, 6062, 1096, 25347, 1262, 4547, 1049, 1032, 2037, 8351, 1100, 9058, 4547, 25193, 2998, 25660, 1160, 1004, 3893, 1096, 4805, 2239, 3276, 1055, 7, 3885, 1323, 2896, 1174, 1221, 1043, 3530, 2125, 4679, 11172, 1009, 10882, 3819, 7, 3275, 1462, 3420, 13032, 11172, 12199, 1010, 1005, 12818, 1365, 4369, 19689, 1048, 2909, 4417, 3754, 1054, 10486, 2880, 2220, 2092, 7856, 3482, 1079, 16690, 1100, 29794, 11058, 14737, 7021, 14737, 1455, 17907, 23987, 1318, 2383, 3511, 3445, 10182, 4141, 3478, 1317, 4289, 1651, 1906, 2457, 1198, 1046, 5695, 1005, 1511, 29871, 1054, 1224, 5131, 3100, 3201, 5417, 1118, 9843, 1715, 53, 2092, 16015, 29953, 1061, 20573, 7, 44, 1221, 1495, 24180, 2647, 1309, 4230, 1395, 15535, 1930, 1726, 2624, 1592, 1305, 11146, 18, 3748, 1009, 1044, 2289, 1068, 1323, 1289, 19276, 12871, 2089, 23541, 10627, 1006, 2348, 3349, 1005, 3100, 1044, 1807, 4244, 1577, 3482, 1079, 1006, 28139, 1165, 2027, 1005, 1026, 30422, 1048, 1294, 4279, 6313, 5177, 1278, 2328, 1009, 2073, 1094, 1271, 5220, 23541, 1879, 13352, 6226, 3048, 1976, 20674, 1787, 2237, 5133, 32, 1004, 27785, 17593, 2013, 2637, 1048, 1058, 7035, 1511, 1026, 4318, 1060, 15534, 1058, 2521, 5595, 1114, 9473, 1049, 2792, 1005, 1132, 4106, 7857, 11952, 1480, 1049, 1249, 20617, 1876, 7930, 1202, 1060, 6925, 1006, 29650, 2027, 1009, 1048, 1124, 2516, 6857, 1963, 4433, 20, 1073, 1154, 29650, 19366, 1026, 1048, 675, 0, 11955, 1184, 1256, 3915, 1097, 16364, 2170, 1068, 1160, 16005, 1318, 10160, 1118, 11726, 1033, 1089, 5484, 1903, 1370, 2239, 3719, 2160, 29755, 1213, 12465, 1348, 1118, 1160, 1178, 14364, 27065, 20, 11938, 4800, 16529, 1048, 1006, 6925, 2900, 1058, 10692, 1024, 1043, 1094, 8459, 25753, 1054, 17058, 7762, 5412, 8464, 1005, 1294, 9372, 1048, 1620, 1327, 22777, 675, 0, 11955, 1184, 1715, 1, 1138, 4288, 1009, 7564, 12104, 1392, 1060, 26625, 48, 1096, 1026, 1184, 5485, 1049, 12343, 5447, 1054, 3310, 3218, 1138, 4288, 29921, 5035, 1118, 1224, 23959, 2485, 1048, 4279, 1006, 29473, 1009, 1094, 6735, 1009, 19766, 1395, 1719, 3589, 1356, 7051, 1072, 3090, 10293, 1005, 2952, 1005, 1114, 12935, 6164, 20, 15560, 2930, 2823, 2603, 3017, 1048, 2612, 1043, 4412, 2381, 1544, 1009, 4320, 6296, 1009, 8299, 1005, 1043, 3838, 7689, 1054, 15411, 25038, 21874, 1114, 7050, 3803, 7290, 16508, 1096, 1006, 1009, 3823, 1094, 4581, 31410, 21565, 3794, 4988, 1068, 30844, 1371, 1132, 8813, 1009, 1048, 1026, 1908, 1880, 9561, 1, 2800, 2177, 1026, 4409, 1060, 11827, 16578, 1005, 1587, 19667, 37, 1175, 18159, 1047, 12572, 2275, 1722, 2503, 21058, 8587, 1482, 26142, 16067, 15021, 7256, 2878, 8217, 1060, 10227, 2320, 1021, 6393, 1006, 6679, 1233, 4960, 32, 1479, 3943, 1048, 15309, 1048, 2155, 1178, 1006, 1834, 1986, 18420, 1068, 1124, 28954, 1005, 1006, 11827, 16578, 1005, 1587, 19667, 1072, 2357, 28634, 1044, 15058, 3707, 1009, 1664, 10770, 1005, 1048, 1318, 8589, 3506, 1006, 4008, 1009, 6419, 1055, 1005, 6506, 1009, 2823, 1068, 8900, 1800, 1160, 1998, 1026, 29932, 20131, 1309, 1318, 1132, 5635, 7730, 1010, 1048, 2237, 5132, 2571, 18728, 3004, 1005, 1048, 1058, 19548, 1945, 1213, 2729, 1009, 2088, 3952, 4441, 5726, 12165, 1391, 1006, 1151, 1093, 1526, 3775, 1044, 13020, 2863, 1005, 1068, 1026, 4898, 1060, 11827, 16578, 1005, 1587, 19667, 1044, 5620, 8967, 1054, 1048, 13122, 1048, 1998, 1132, 1184, 9673, 13900, 1233, 4464, 20, 4378, 2236, 1054, 4788, 1048, 23808, 1100, 1096, 1006, 1060, 11827, 16578, 1005, 1587, 19667, 1054, 7838, 1009, 20220, 31288, 1884, 5194, 1140, 1043, 1026, 8737, 2769, 1009, 14193, 1571, 2733, 1105, 2682, 1006, 1712, 1751, 1060, 2779, 2328, 1009, 22658, 7457, 1580, 1294, 11511, 1009, 2926, 2309, 9305, 1009, 2531, 1058, 3580, 1040, 1006, 11511, 22094, 1068, 1006, 5351, 1187, 1456, 15427, 1005, 15049, 1009, 10313, 3243, 1199, 4441, 3794, 4209, 17680, 83, 1118, 3230, 1664, 1132, 7872, 1309, 1096, 1043, 6443, 1005, 1043, 3408, 13636, 1048, 1006, 10026, 1009, 5621, 1162, 13655, 1026, 1235, 6940, 26869, 2374, 1072, 5549, 10227, 2320, 9188, 1678, 2374, 1318, 1072, 3266, 4898, 20, 1084, 1058, 5756, 4286, 31782, 1048, 1026, 2930, 15058, 30901, 3241, 1895, 1599, 1195, 2237, 4008, 1009, 5501, 1800, 1009, 1871, 21551, 1233, 3028, 3349, 1132, 21516, 1060, 14047, 1990, 1054, 2500, 5518, 1009, 2220, 1005, 2073, 2143, 12651, 4578, 1668, 29221, 4319, 1048, 1261, 1006, 10525, 1009, 1178, 1800, 1006, 2783, 6238, 1068, 5719, 1800, 1043, 12929, 3202, 2637, 1048, 1294, 4172, 9126, 1068, 1048, 1033, 3434, 2315, 1664, 9973, 1166, 1068, 9149, 1800, 1124, 19814, 1060, 1853, 2596, 12338, 2340, 1124, 1783, 1043, 15629, 41, 89, 1160, 5087, 162, 1479, 5087, 1040, 10094, 1124, 1569, 14344, 1463, 11946, 1758, 6266, 1631, 5832, 1009, 1201, 17016, 1049, 29932, 6002, 1349, 1005, 2089, 12818, 11855, 1048, 1026, 5832, 1381, 1043, 1048, 9545, 25608, 1187, 7042, 1009, 2926, 1184, 5500, 1452, 3915, 5635, 1009, 6647, 1096, 2512, 1160, 13739, 12242, 3830, 1847, 1033, 28441, 1615, 15387, 1800, 1006, 7397, 1627, 2340, 1096, 1114, 15096, 8828, 1005, 1318, 25233, 1048, 21802, 1132, 2861, 2314, 27398, 1048, 7191, 1040, 1213, 3189, 1005, 1213, 3439, 1184, 9443, 1068, 1048, 1664, 13984, 17506, 6313, 1006, 1834, 1159, 1006, 12816, 1048, 2374, 3154, 2154, 1005, 1114, 11827, 16578, 1005, 1587, 19667, 1503, 13122, 1048, 1026, 9607, 1005, 1006, 19880, 1365, 1783, 1381, 1006, 5267, 1005, 3054, 10460, 1026, 8679, 1009, 9389, 1124, 5314, 1054, 6019, 1049, 3189, 1009, 2693, 1005, 2073, 27234, 6788, 1837, 3616, 1054, 1048, 1318, 1160, 2449, 9312, 1096, 1114, 4008, 1009, 1752, 1178, 6819, 1261, 1009, 1058, 1057, 11286, 1754, 18, 1009, 11146, 1927, 1663, 1184, 1005, 12653, 1005, 1009, 1058, 8773, 1024, 4109, 1009, 2073, 27326, 20, 8466, 3235, 1096, 3879, 1672, 1309, 1664, 9973, 1166, 1043, 1044, 5944, 1021, 1348, 3707, 32, 4389, 8607, 1084, 1096, 9126, 1009, 2453, 1068, 18518, 1005, 1009, 2979, 1068, 2453, 30961, 4929, 1184, 4764, 1061, 1041, 2585, 1309, 1118, 1702, 7065, 3449, 6027, 1048, 1132, 2250, 1009, 2011, 1327, 3879, 5048, 14530, 1054, 5426, 7122, 1043, 1006, 2921, 22741, 1005, 10029, 5680, 8512, 1664, 1132, 2250, 32, 22630, 2602, 1006, 8817, 1009, 17675, 10303, 18, 1006, 8817, 1009, 31521, 1124, 17737, 1271, 6048, 1009, 9436, 1664, 1132, 7872, 1495, 3449, 1048, 4929, 1006, 8347, 1184, 1048, 1072, 17778, 1060, 3028, 27922, 1309, 1160, 4929, 20, 2013, 2512, 4877, 1263, 8396, 4682, 2340, 1998, 1992, 31114, 1054, 6019, 1060, 3865, 3707, 1096, 1048, 2167, 19000, 25327, 5680, 8113, 1005, 6423, 1800, 1726, 6444, 1043, 1044, 1807, 10683, 1249, 1524, 1069, 1114, 3028, 6925, 6788, 4803, 3659, 3460, 1846, 1009, 2289, 20356, 1058, 4803, 5711, 1006, 4524, 1068, 4389, 4492, 1058, 2155, 2220, 1026, 8208, 1178, 3879, 1672, 1160, 2449, 4697, 9168, 1048, 1992, 1026, 2374, 6843, 1780, 8396, 6141, 1048, 4292, 1927, 1044, 13984, 18, 1005, 1048, 3062, 1090, 10939, 1068, 11860, 1068, 1026, 1048, 1009, 1184, 29540, 4292, 32, 5319, 1006, 3450, 1009, 1834, 1005, 1006, 6728, 1009, 1834, 1009, 13054, 14738, 1006, 3963, 1990, 1072, 3709, 1187, 7042, 1009, 2926, 1048, 3634, 1178, 27953, 22517, 1026, 24981, 1049, 4942, 1482, 26142, 25899, 1072, 4449, 27533, 1072, 5979, 1009, 29077, 1009, 15463, 5045, 1358, 1586, 1833, 27233, 25899, 17008, 21497, 2878, 8217, 5549, 10227, 2320, 1021, 6393, 27627, 1017, 6364, 1130, 1093, 1023, 11441, 1442, 25958, 16340, 25958, 16340, 1072, 4409, 4409, 1060, 13664, 7192, 1005, 1009, 27234, 1025, 76, 88, 1026, 1692, 1373, 1021, 6393, 7967, 2926, 1, 11428, 7796, 32, 39, 2838, 5487, 1009, 4209, 32, 27889, 1068, 29559, 1207, 19786, 1221, 5059, 1212, 1100, 11079, 31442, 1062, 2431, 1069, 5, 2471, 22, 1009, 1487, 8186, 40, 1081, 1177, 1005, 7395, 31947, 1298, 18140, 18771, 20361, 1665, 1308, 6795, 29, 23621, 21768, 1152, 2322, 30, 2649, 7237, 21768, 3996, 75, 1267, 1021, 1063, 3590, 3198, 71, 1026, 16581, 1184, 5350, 2784, 1058, 1160, 6678, 1484, 1362, 1114, 1751, 7511, 1381, 1493, 18532, 1213, 13435, 21455, 2340, 1026, 8948, 2947, 18211, 1114, 7617, 1231, 8422, 19137, 1006, 6347, 10058, 1118, 1048, 1160, 2449, 1159, 9854, 1006, 13057, 1184, 17485, 6601, 1096, 15185, 1005, 22339, 1068, 1026, 1484, 1362, 1009, 21455, 22700, 7, 1, 1106, 1489, 1239, 21956, 1316, 1036, 1068, 18641, 159, 16277, 5217, 1602, 1252, 1164, 1175, 20893, 41, 10478, 2995, 1489, 1239, 21956, 1316, 1036, 1068, 18641, 159, 16277, 5217, 1602, 1252, 1164, 10229, 2742, 15194, 2220, 1026, 11323, 1005, 3227, 1068, 1026, 1235, 10425, 1114, 3907, 1049, 12957, 37, 1063, 1106, 1489, 1239, 21956, 1316, 1036, 1068, 18641, 159, 16277, 5217, 1602, 1252, 1164, 3134, 3725, 2115, 2889, 27141, 1005, 1096, 1493, 24858, 7043, 1134, 4256, 1009, 6631, 18, 12262, 1439, 1005, 7887, 3144, 1424, 3651, 1162, 16320, 1043, 10045, 1348, 16310, 3969, 1599, 1006, 7581, 1239, 4351, 2693, 1006, 9626, 1149, 1068, 1094, 10669, 10957, 1072, 2803, 1009, 2997, 12957, 1072, 10425, 1533, 2618, 1009, 1106, 1489, 2032, 21956, 1316, 1036, 1096, 7322, 1068, 1132, 7581, 1010, 1187, 8752, 4328, 2812, 7425, 1063, 4008, 10058, 1009, 5875, 1096, 1009, 1158, 81, 14594, 14935, 1026, 10425, 1495, 1782, 19912, 2536, 1782, 21739, 1009, 11950, 1138, 4168, 3134, 1718, 1081, 1095, 1239, 6919, 5916, 17828, 1009, 3319, 6460, 1009, 3111, 1005, 1607, 12314, 1068, 2617, 1303, 1009, 11950, 1063, 7581, 1239, 1068, 10425, 21956, 1316, 1036, 1318, 2612, 1043, 12611, 13535, 1068, 6518, 2617, 1303, 1060, 10413, 5993, 10172, 1026, 1557, 1060, 10669, 10957, 1533, 7581, 1239, 1298, 1178, 9124, 1305, 1026, 5875, 20, 10077, 1009, 5501, 1006, 10413, 1745, 1336, 1026, 1008, 1468, 1009, 13834, 75, 1060, 1607, 1103, 2469, 5062, 1072, 4249, 1060, 7581, 10871, 1972, 1184, 10367, 1005, 9741, 3784, 1006, 7581, 1239, 2612, 1043, 5249, 2447, 1463, 17210, 1728, 1134, 4256, 1009, 12262, 1439, 1005, 21367, 1511, 21432, 1063, 7581, 1239, 21956 ]

[ 16074, 6710, 1187, 24738, 5313, 14972, 1006, 8657, 1149, 1005, 4810, 8040, 1125, 19, 6200, 27405, 13825, 2587, 1009, 1261, 4525, 10574, 5989, 2469, 7799, 1213, 7838, 2055, 4528, 1023, 5086, 3017, 1365, 1734, 15, 18405, 1213, 2803, 6191, 1060, 12487, 15653, 19, 7171, 1371, 1006, 26324, 1060, 6915, 2309, 8654, 30382, 1654, 1365, 1132, 6780, 1049, 8921, 1005, 1009, 3584, 9898, 1114, 29609, 1070, 1990, 1049, 2778, 13232, 2170, 1118, 6781, 13029, 1371, 4966, 1026, 3129, 1049, 19783, 1072, 6083, 1005, 1114, 3649, 1187, 11145, 3774, 5345, 20481, 2350, 10694, 1048, 10272, 1975, 13636, 1068, 6141, 1006, 5556, 1072, 4241, 1060, 2042, 6762, 8231, 5151, 31847, 1043, 2068, 1294, 9800, 1049, 3761, 11248, 1060, 1128, 2877, 18, 24579, 1166, 1043, 3425, 1322, 1026, 6976, 1005, 4642, 11048, 13044, 6546, 1225, 17599, 1048, 1058, 21774, 1046, 1213, 2729, 1060, 3780, 1068, 6394, 1094, 5655, 1049, 3756, 1159, 1026, 11248, 1060, 1128, 2877, 3043, 1079, 1132, 11145, 1005, 5138, 1060, 3578, 1049, 2778, 1223, 1599, 1860, 6063, 20792, 1392, 1005, 20470, 2373, 1223, 3220, 626, 1005, 1786, 3607, 2900, 1202, 2997, 2612, 1271, 23432, 6298, 1141, 1020, 19, 1030, 1452, 1365, 1026, 3428, 1060, 7271, 1005, 1006, 15505, 1006, 2323, 1060, 7689, 9080, 1049, 3761, 30133, 2646, 1114, 29609, 1070, 1990, 1049, 12533, 14093, 1119, 1140, 1006, 16259, 1112, 1009, 1048, 1160, 4292, 1094, 3964, 1005, 16126, 4556, 12908, 2691, 2880, 1009, 4031, 1005, 13591, 1006, 2042, 1479, 1206, 1026, 1048, 2572, 1048, 1058, 26664, 2691, 14980, 1009, 5025, 1479, 1318, 1160, 1298, 14043, 3081, 1044, 5239, 2353, 3617, 1063, 15209, 1149, 1009, 17549, 6698, 3722, 1054, 18881, 19, 675, 1161, 1009, 11145, 1048, 1853, 13589, 5924, 29612, 1068, 4966, 1124, 7320, 1009, 1058, 6242, 1094, 2373, 78, 3466, 8226, 1138, 2717, 1672, 4168, 1005, 2191, 1009, 7737, 1158, 26014, 13745, 6698, 4493, 1068, 4966, 11145, 1005, 6390, 1048, 2739, 2624, 8097, 1054, 14867, 1060, 2042, 3092, 1159, 22061, 1005, 1376, 1219, 3622, 20, 11014, 7330, 5160, 1006, 3780, 2168, 2339, 6531, 1045, 1278, 1679, 1050, 3411, 1009, 28667, 21933, 3092, 9784, 1005, 13425, 1014, 9784, 1072, 5029, 8287, 9226, 1048, 2122, 2921, 2042, 1160, 1657, 1201, 3205, 1309, 1195, 15674, 6216, 1357, 4005, 23195, 1049, 3761, 11248, 1060, 1128, 2877, 18, 1048, 1493, 5313, 1379, 1026, 1125, 19, 5105, 1667, 2656, 1058, 2085, 1167, 1054, 5313, 4492, 1159, 2909, 1009, 9212, 1009, 1044, 2191, 1098, 19, 1598, 9086, 1309, 30334, 2997, 1124, 3443, 2432, 1400, 21018, 27815, 1157, 1132, 12685, 1005, 1124, 5298, 8419, 1356, 12271, 1271, 5298, 1187, 2373, 1420, 20108, 1872, 4324, 21018, 7568, 6063, 5567, 1048, 2398, 2241, 2696, 1439, 1132, 11442, 1187, 30368, 1049, 19636, 1324, 21018, 3797, 1146, 19, 1011, 6063, 5729, 1005, 3171, 10349, 21018, 1026, 2014, 1435, 19, 1554, 2800, 2693, 2900, 1048, 12317, 14424, 1043, 18288, 96, 1273, 1006, 3780, 6676, 1079, 2808, 8718, 29609, 2897, 8728, 1356, 3761, 1072, 2011, 2711, 2389, 1322, 1006, 3578, 1049, 2778, 1223, 1599, 10860, 15299, 2088, 3974, 1068, 1094, 1853, 1043, 19, 1244, 3029, 1049, 3129, 1049, 19783, 1072, 2568, 1009, 6216, 1060, 16234, 1063, 8274, 1005, 1006, 5034, 1187, 25226, 9610, 1006, 3722, 1049, 3754, 21, 1663, 3761, 6567, 13246, 1187, 11145, 1322, 1026, 8209, 20, 2605, 1318, 1096, 4230, 10541, 1048, 1026, 11248, 1060, 1128, 2877, 18, 1511, 15027, 1005, 13658, 1026, 3439, 1068, 5807, 1009, 1472, 1043, 1026, 2373, 2099, 1245, 1530, 2778, 13232, 4324, 13350, 1044, 3129, 3410, 1056, 19, 1395, 1114, 2935, 1009, 1094, 3289, 1048, 3475, 1005, 5543, 1068, 1132, 15093, 19253, 1607, 3622, 25791, 1005, 5025, 1201, 1312, 1322, 1132, 7742, 1005, 21986, 1060, 3578, 1049, 2778, 1223, 2270, 18935, 1026, 1663, 2042, 1356, 3754, 3761, 6567, 3250, 9290, 1005, 28871, 2027, 1463, 8098, 1049, 14131, 3617, 2656, 1096, 3489, 3019, 3066, 12603, 11549, 1026, 19783, 1049, 2738, 1049, 3009, 5678, 1356, 3756, 1159, 1006, 3781, 5543, 1068, 1006, 16234, 2605, 1160, 4145, 1068, 13101, 2464, 1054, 2127, 1054, 1094, 4180, 1005, 1054, 1044, 2269, 1571, 1026, 4885, 2285, 1009, 19531, 2106, 24579, 1069, 1006, 1044, 3910, 7239, 1009, 3731, 11300, 1095, 5120, 23226, 19, 1050, 1046, 1006, 10303, 1149, 1049, 3761, 1159, 1044, 3182, 1005, 3428, 1009, 20723, 1400, 1026, 3754, 3761, 6567, 2373, 74, 16125, 1393, 626, 1043, 1124, 5298, 24738, 1043, 1132, 15950, 2565, 7769, 1005, 8124, 1048, 5588, 4961, 1294, 18752, 1049, 2535, 2343, 1347, 1076, 19, 1049, 18, 1305, 3417, 1009, 5014, 8848, 1006, 1224, 4005, 20, 4685, 1160, 1837, 1009, 1058, 23242, 6443, 18, 1118, 1094, 5655, 7951, 1187, 2421, 11176, 1679, 29192, 1060, 15816, 14485, 2909, 7898, 3987, 1861, 19, 5692, 1377, 6195, 12746, 1048, 1044, 4168, 1025, 14626, 4631, 1998, 1096, 1026, 1048, 1096, 1511, 3250, 17353, 2900, 1006, 4635, 7300, 1043, 1026, 6506, 1049, 2191, 1571, 1096, 8481, 1005, 4678, 20967, 1311, 2431, 2509, 1371, 1072, 3563, 2952, 1213, 1592, 1557, 1054, 1048, 1096, 27149, 1118, 1668, 20, 3126, 1992, 1043, 1026, 11248, 1060, 1128, 2877, 18, 4277, 1668, 4545, 20, 3186, 1156, 6089, 45, 4212, 21957, 9355, 13096, 1152, 1063, 3578, 1049, 2778, 13232, 1357, 6216, 1049, 11248, 1060, 1128, 2877, 1967, 2944, 3406, 3487, 15, 3275, 19337, 1026, 3066, 1160, 1026, 6362, 1201, 8848, 1094, 3289, 9897, 1005, 13538, 1072, 5029, 8287, 2952, 1060, 2413, 1048, 20411, 3004, 1132, 6780, 1049, 8921, 1005, 1009, 3584, 6790, 5949, 1128, 1893, 1371, 1657, 4966, 1159, 2122, 3289, 1195, 1847, 11724, 1005, 1009, 1048, 2596, 1124, 8718, 1049, 3754, 3761, 6567, 1049, 13929, 2043, 8002, 1577, 4771, 79, 1975, 4666, 3330, 20, 8470, 1371, 8430, 1024, 1048, 6546, 8718, 1049, 3754, 1596, 1058, 5700, 18, 1356, 2269, 1048, 1026, 4168, 3761, 3842, 1393, 1114, 7475, 8718, 1009, 1044, 1663, 1060, 2042, 9065, 5408, 1006, 1558, 1273, 7653, 1005, 16250, 20, 3292, 1619, 21209, 1620, 1048, 5574, 1006, 2042, 1049, 2778, 13232, 1096, 1318, 21189, 1439, 1054, 1094, 3961, 1118, 3997, 1048, 7697, 1079, 8471, 1009, 24884, 5282, 1006, 18470, 88, 1118, 1094, 4263, 17168, 2013, 3057, 5239, 1048, 2373, 4416, 1416, 1535, 19, 3108, 1140, 626, 9047, 8402, 6390, 1005, 8773, 2147, 1187, 11415, 3732, 11464, 1072, 31351, 1009, 3756, 1006, 27756, 1024, 1026, 3129, 1049, 19783, 1114, 3649, 1009, 4601, 1060, 17265, 2374, 6485, 17204, 1005, 3748, 9290, 1930, 2374, 1592, 11655, 6063, 11145, 1005, 7707, 20, 8466, 8098, 1048, 1289, 3982, 11214, 1044, 7228, 1365, 1006, 5556, 1005, 1006, 8211, 1114, 7507, 1009, 6029, 1012, 1024, 2088, 23068, 1048, 10316, 1663, 1094, 5655, 11444, 1049, 19783, 1072, 2535, 1060, 3578, 1049, 2778, 1223, 2270, 3295, 30562, 1005, 1098, 14, 1363, 15, 92, 2101, 1060, 2042, 2858, 7228, 2481, 1072, 8484, 1049, 5239, 2373, 52, 1140, 1049, 1048, 1044, 1531, 5140, 1298, 1178, 8630, 1068, 1006, 16234, 626, 8847, 1029, 1363, 10924, 15, 1542, 13399, 1094, 7401, 18, 9253, 1026, 17470, 1024, 1187, 16250, 2309, 8326, 1009, 5556, 1206, 5417, 4200, 1208, 1024, 1044, 3761, 1693, 18874, 12567, 18, 3638, 1481, 1451, 6397, 1009, 2073, 5239, 3774, 3617, 1535, 19, 9613, 1213, 5593, 1800, 1026, 19783, 1054, 1235, 3129, 1009, 3649, 1049, 12533, 7068, 2088, 1479, 3048, 1927, 24332, 1479, 24079, 156, 2147, 1365, 1026, 16074, 14895, 1005, 1026, 2733, 1624, 25158, 1046, 1132, 8654, 1049, 3129, 1068, 5172, 1026, 3756, 1159, 1058, 25985, 5867, 19, 12374, 12533, 1423, 1278, 1679, 16250, 1118, 2191, 1060, 4751, 3761, 27748, 31612, 1902, 3761, 1096, 16977, 4324, 1973, 31629, 9725, 18, 2730, 7326, 3509, 14232, 2573, 1049, 2717, 1672, 5530, 1005, 2360, 626, 2023, 19535, 1037, 1188, 1159, 1094, 2373, 1774, 1212, 1010, 1027, 626, 1009, 1786, 3607, 15907, 3754, 1048, 1026, 3761, 4955, 1094, 2596, 4788, 1009, 2333, 15835, 1044, 2373, 11570, 1040, 2815, 626, 1187, 2421, 11176, 19426, 1992, 1049, 1109, 19, 1011, 1275, 1009, 3649, 1060, 16234, 6062, 9732, 4075, 1213, 25327, 1006, 2562, 1009, 28468, 2373, 2300, 10908, 626, 1009, 1044, 4995, 6958, 31972, 2250, 1206, 3229, 1349, 10920, 1006, 4785, 19, 675, 1055, 1009, 1744, 26638, 1365, 1124, 2880, 1005, 1026, 12782, 1365, 1124, 1558, 1016, 1005, 1124, 5625, 1009, 1044, 18861, 1365, 1026, 3761, 1005, 1124, 22241, 18601, 1048, 18475, 1026, 11602, 16406, 1505, 3005, 1752, 3761, 1096, 4310, 1009, 2373, 11570, 1040, 1146, 2705, 4324, 1054, 1224, 2373, 1774, 1212, 1010, 1027, 626, 11655, 18304, 14970, 7653, 1005, 11415, 2464, 1009, 1094, 2596, 1206, 1009, 20650, 1116, 19, 5082, 92, 1975, 1006, 6365, 1054, 1044, 7620, 1557, 1005, 3182, 16406, 5841, 10091, 4279, 28981, 1026, 2011, 1043, 1124, 4816, 1006, 1415, 19, 1030, 1130, 1009, 1456, 8654, 8497, 10737, 5726, 1009, 7443, 16377, 2789, 1121, 1072, 2952, 2170, 17087, 3649, 1060, 6386, 1356, 2373, 74, 15290, 8226, 1482, 1734, 1261, 19, 1025, 1229, 23167, 10541, 1159, 5680, 3974, 1098, 27310, 1233, 29609, 5423, 3130, 2373, 56, 1252, 2636, 2135, 1049, 2421, 15277, 2135, 9684, 4007, 1435, 2135, 2309, 20416, 6420, 2135, 8667, 1157, 2135, 1054, 1752, 16997, 3097, 2135, 5249, 1157, 2135, 1054, 1752, 2204, 24436, 2135, 1776, 6548, 1060, 3922, 2135, 17422, 1802, 2135, 15560, 3761, 2135, 1096, 10320, 3320, 626, 1156, 6089, 45, 4212, 21957, 9355, 13096, 1152, 1063, 3578, 1049, 2778, 13232, 1357, 6216, 1049, 11248, 1060, 1128, 2877, 1967, 2944, 3406, 3487, 15, 2373, 1469, 3060, 1040, 626, 1044, 2421, 1337, 1006, 2323, 1271, 1558, 1016, 1049, 3761, 1054, 2191, 1006, 1315, 19, 1015, 1887, 1005, 9200, 1054, 13650, 1955, 19609, 1048, 7813, 1202, 1026, 3756, 1376, 1219, 2006, 1005, 7951, 1043, 1048, 1155, 19, 1086, 4074, 8810, 1005, 5138, 1596, 12768, 1114, 6365, 1160, 1558, 21399, 32, 4933, 19, 17146, 8356, 1060, 21115, 1187, 15347, 1005, 1187, 20611, 1114, 2042, 23047, 1187, 1116, 19, 18151, 3036, 10945, 1726, 12697, 21933, 1271, 13591, 1060, 12854, 17204, 1206, 1592, 1049, 19270, 1303, 3488, 3500, 1679, 7328, 3732, 1048, 1125, 19, 1761, 96, 2644, 1005, 3895, 1412, 1054, 6390, 24875, 1006, 2042, 1049, 6432, 1005, 1049, 3756, 1159, 16430, 16169, 1060, 4263, 1005, 18601, 1160, 23065, 19, 1271, 1233, 3568, 5086, 1091, 20707, 5838, 1160, 15, 21945, 1149, 1114, 13043, 16406, 3782, 9613, 1159, 1160, 3012, 3417, 1009, 18874, 8354, 1054, 3593, 4375, 1043, 1026, 3429, 1187, 8326, 1009, 21107, 1054, 1569, 7055, 1009, 16599, 2762, 4422, 1009, 3284, 1005, 2203, 3803, 2013, 1098, 1259, 5336, 3057, 13745, 1048, 3028, 2042, 1325, 31219, 1009, 4278, 1054, 1048, 2755, 1006, 22114, 1187, 5726, 1009, 5239, 12772, 1213, 2729, 1049, 8410, 16056, 1009, 1044, 2446, 1009, 2373, 74, 2477, 3393, 2225, 24320, 5959, 626, 24, 1479, 3559, 3277, 5156, 1005, 6329, 1188, 1054, 4106, 4044, 2106, 1054, 1558, 1016, 7878, 7088, 1479, 1048, 19713, 3360, 1026, 2373, 28094, 626, 2950, 1006, 2373, 78, 3466, 626, 33, 6071, 10204, 1006, 26016, 1060, 5655, 1009, 1044, 2421, 1337, 1159, 6902, 1071, 2713, 50, 15523, 5529, 17640, 6906, 3612, 1349, 1114, 1428, 1006, 8324, 18954, 1114, 4581, 1005, 21945, 1112, 1009, 30868, 1005, 1376, 1219, 1554, 7029, 2021, 1526, 8356, 2464, 1592, 1114, 2042, 1060, 24672, 1026, 1622, 1009, 2373, 86, 21038, 3754, 626, 2637, 1927, 7062, 28235, 5136, 12583, 1006, 1702, 2446, 1009, 3603, 20, 2034, 8533, 1060, 8324, 1479, 2271, 1006, 8482, 1893, 15, 11765, 1060, 2446, 2847, 5092, 1043, 1006, 8685, 1060, 7245, 7512, 1495, 1124, 7055, 10498, 5817, 1005, 17116, 1219, 1278, 22266, 1392, 1005, 1132, 12059, 1009, 24440, 1479, 7949, 1006, 1465, 19, 5082, 19797, 2277, 11278, 1005, 9200, 9450, 1229, 1026, 1048, 1298, 1005, 1026, 1048, 1160, 1298, 1178, 1004, 9744, 1138, 1048, 6224, 6762, 1159, 6224, 15, 1206, 1160, 1068, 1006, 6365, 20, 21781, 23702, 24907, 5213, 1570, 1423, 1803, 1006, 7272, 3761, 4136, 2373, 1018, 19, 1048, 1197, 626, 1048, 1195, 19370, 1006, 2225, 8416, 1043, 1094, 11267, 1049, 1784, 19915, 8990, 22507, 1138, 2373, 1018, 1022, 5294, 4324, 9175, 1096, 14130, 1026, 3435, 1060, 7689, 1060, 4981, 11444, 1060, 4581, 1009, 1044, 2446, 1009, 9568, 3761, 1513, 19, 1030, 3617, 1138, 3435, 3019, 2568, 1096, 1006, 2373, 1061, 6245, 1049, 19783, 19, 1446, 12671, 1206, 4473, 1006, 2623, 6245, 1009, 1048, 1132, 14267, 1327, 1657, 9732, 12223, 8326, 1009, 5556, 4004, 7647, 2184, 9673, 1009, 6825, 1427, 5487, 1009, 17549, 31771, 1040, 13084, 1213, 2729, 1049, 1557, 1327, 2355, 4528, 1187, 1118, 3275, 79, 2591, 3309, 79, 1159, 2373, 74, 2477, 7094, 19020, 626, 1005, 12489, 1094, 13914, 4788, 1049, 2011, 1009, 4981, 3774, 3336, 2978, 30562, 1005, 1098, 14, 1363, 15, 92, 2101, 1060, 2042, 1206, 7471, 2711, 23105, 28942, 15199, 1213, 8853, 1645, 1235, 9797 ]

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

[ 16074, 6710, 1187, 24738, 5313, 14972, 1006, 8657, 1149, 1005, 4810, 8040, 1125, 19, 6200, 27405, 13825, 2587, 1009, 1261, 4525, 10574, 5989, 2469, 7799, 1213, 7838, 2055, 4528, 1023, 5086, 3017, 1365, 1734, 15, 18405, 1213, 2803, 6191, 1060, 12487, 15653, 19, 7171, 1371, 1006, 26324, 1060, 6915, 2309, 8654, 30382, 1654, 1365, 1132, 6780, 1049, 8921, 1005, 1009, 3584, 9898, 1114, 29609, 1070, 1990, 1049, 2778, 13232, 2170, 1118, 6781, 13029, 1371, 4966, 1026, 3129, 1049, 19783, 1072, 6083, 1005, 1114, 3649, 1187, 11145, 3774, 5345, 20481, 2350, 10694, 1048, 10272, 1975, 13636, 1068, 6141, 1006, 5556, 1072, 4241, 1060, 2042, 6762, 8231, 5151, 31847, 1043, 2068, 1294, 9800, 1049, 3761, 11248, 1060, 1128, 2877, 18, 24579, 1166, 1043, 3425, 1322, 1026, 6976, 1005, 4642, 11048, 13044, 6546, 1225, 17599, 1048, 1058, 21774, 1046, 1213, 2729, 1060, 3780, 1068, 6394, 1094, 5655, 1049, 3756, 1159, 1026, 11248, 1060, 1128, 2877, 3043, 1079, 1132, 11145, 1005, 5138, 1060, 3578, 1049, 2778, 1223, 1599, 1860, 6063, 20792, 1392, 1005, 20470, 2373, 1223, 3220, 626, 1005, 1786, 3607, 2900, 1202, 2997, 2612, 1271, 23432, 6298, 1141, 1020, 19, 1030, 1452, 1365, 1026, 3428, 1060, 7271, 1005, 1006, 15505, 1006, 2323, 1060, 7689, 9080, 1049, 3761, 30133, 2646, 1114, 29609, 1070, 1990, 1049, 12533, 14093, 1119, 1140, 1006, 16259, 1112, 1009, 1048, 1160, 4292, 1094, 3964, 1005, 16126, 4556, 12908, 2691, 2880, 1009, 4031, 1005, 13591, 1006, 2042, 1479, 1206, 1026, 1048, 2572, 1048, 1058, 26664, 2691, 14980, 1009, 5025, 1479, 1318, 1160, 1298, 14043, 3081, 1044, 5239, 2353, 3617, 1063, 15209, 1149, 1009, 17549, 6698, 3722, 1054, 18881, 19, 675, 1161, 1009, 11145, 1048, 1853, 13589, 5924, 29612, 1068, 4966, 1124, 7320, 1009, 1058, 6242, 1094, 2373, 78, 3466, 8226, 1138, 2717, 1672, 4168, 1005, 2191, 1009, 7737, 1158, 26014, 13745, 6698, 4493, 1068, 4966, 11145, 1005, 6390, 1048, 2739, 2624, 8097, 1054, 14867, 1060, 2042, 3092, 1159, 22061, 1005, 1376, 1219, 3622, 20, 11014, 7330, 5160, 1006, 3780, 2168, 2339, 6531, 1045, 1278, 1679, 1050, 3411, 1009, 28667, 21933, 3092, 9784, 1005, 13425, 1014, 9784, 1072, 5029, 8287, 9226, 1048, 2122, 2921, 2042, 1160, 1657, 1201, 3205, 1309, 1195, 15674, 6216, 1357, 4005, 23195, 1049, 3761, 11248, 1060, 1128, 2877, 18, 1048, 1493, 5313, 1379, 1026, 1125, 19, 5105, 1667, 2656, 1058, 2085, 1167, 1054, 5313, 4492, 1159, 2909, 1009, 9212, 1009, 1044, 2191, 1098, 19, 1598, 9086, 1309, 30334, 2997, 1124, 3443, 2432, 1400, 21018, 27815, 1157, 1132, 12685, 1005, 1124, 5298, 8419, 1356, 12271, 1271, 5298, 1187, 2373, 1420, 20108, 1872, 4324, 21018, 7568, 6063, 5567, 1048, 2398, 2241, 2696, 1439, 1132, 11442, 1187, 30368, 1049, 19636, 1324, 21018, 3797, 1146, 19, 1011, 6063, 5729, 1005, 3171, 10349, 21018, 1026, 2014, 1435, 19, 1554, 2800, 2693, 2900, 1048, 12317, 14424, 1043, 18288, 96, 1273, 1006, 3780, 6676, 1079, 2808, 8718, 29609, 2897, 8728, 1356, 3761, 1072, 2011, 2711, 2389, 1322, 1006, 3578, 1049, 2778, 1223, 1599, 10860, 15299, 2088, 3974, 1068, 1094, 1853, 1043, 19, 1244, 3029, 1049, 3129, 1049, 19783, 1072, 2568, 1009, 6216, 1060, 16234, 1063, 8274, 1005, 1006, 5034, 1187, 25226, 9610, 1006, 3722, 1049, 3754, 21, 1663, 3761, 6567, 13246, 1187, 11145, 1322, 1026, 8209, 20, 2605, 1318, 1096, 4230, 10541, 1048, 1026, 11248, 1060, 1128, 2877, 18, 1511, 15027, 1005, 13658, 1026, 3439, 1068, 5807, 1009, 1472, 1043, 1026, 2373, 2099, 1245, 1530, 2778, 13232, 4324, 13350, 1044, 3129, 3410, 1056, 19, 1395, 1114, 2935, 1009, 1094, 3289, 1048, 3475, 1005, 5543, 1068, 1132, 15093, 19253, 1607, 3622, 25791, 1005, 5025, 1201, 1312, 1322, 1132, 7742, 1005, 21986, 1060, 3578, 1049, 2778, 1223, 2270, 18935, 1026, 1663, 2042, 1356, 3754, 3761, 6567, 3250, 9290, 1005, 28871, 2027, 1463, 8098, 1049, 14131, 3617, 2656, 1096, 3489, 3019, 3066, 12603, 11549, 1026, 19783, 1049, 2738, 1049, 3009, 5678, 1356, 3756, 1159, 1006, 3781, 5543, 1068, 1006, 16234, 2605, 1160, 4145, 1068, 13101, 2464, 1054, 2127, 1054, 1094, 4180, 1005, 1054, 1044, 2269, 1571, 1026, 4885, 2285, 1009, 19531, 2106, 24579, 1069, 1006, 1044, 3910, 7239, 1009, 3731, 11300, 1095, 5120, 23226, 19, 1050, 1046, 1006, 10303, 1149, 1049, 3761, 1159, 1044, 3182, 1005, 3428, 1009, 20723, 1400, 1026, 3754, 3761, 6567, 2373, 74, 16125, 1393, 626, 1043, 1124, 5298, 24738, 1043, 1132, 15950, 2565, 7769, 1005, 8124, 1048, 5588, 4961, 1294, 18752, 1049, 2535, 2343, 1347, 1076, 19, 1049, 18, 1305, 3417, 1009, 5014, 8848, 1006, 1224, 4005, 20, 4685, 1160, 1837, 1009, 1058, 23242, 6443, 18, 1118, 1094, 5655, 7951, 1187, 2421, 11176, 1679, 29192, 1060, 15816, 14485, 2909, 7898, 3987, 1861, 19, 5692, 1377, 6195, 12746, 1048, 1044, 4168, 1025, 14626, 4631, 1998, 1096, 1026, 1048, 1096, 1511, 3250, 17353, 2900, 1006, 4635, 7300, 1043, 1026, 6506, 1049, 2191, 1571, 1096, 8481, 1005, 4678, 20967, 1311, 2431, 2509, 1371, 1072, 3563, 2952, 1213, 1592, 1557, 1054, 1048, 1096, 27149, 1118, 1668, 20, 3126, 1992, 1043, 1026, 11248, 1060, 1128, 2877, 18, 4277, 1668, 4545, 20, 3186, 1156, 6089, 45, 4212, 21957, 9355, 13096, 1152, 1063, 3578, 1049, 2778, 13232, 1357, 6216, 1049, 11248, 1060, 1128, 2877, 1967, 2944, 3406, 3487, 15, 3275, 19337, 1026, 3066, 1160, 1026, 6362, 1201, 8848, 1094, 3289, 9897, 1005, 13538, 1072, 5029, 8287, 2952, 1060, 2413, 1048, 20411, 3004, 1132, 6780, 1049, 8921, 1005, 1009, 3584, 6790, 5949, 1128, 1893, 1371, 1657, 4966, 1159, 2122, 3289, 1195, 1847, 11724, 1005, 1009, 1048, 2596, 1124, 8718, 1049, 3754, 3761, 6567, 1049, 13929, 2043, 8002, 1577, 4771, 79, 1975, 4666, 3330, 20, 8470, 1371, 8430, 1024, 1048, 6546, 8718, 1049, 3754, 1596, 1058, 5700, 18, 1356, 2269, 1048, 1026, 4168, 3761, 3842, 1393, 1114, 7475, 8718, 1009, 1044, 1663, 1060, 2042, 9065, 5408, 1006, 1558, 1273, 7653, 1005, 16250, 20, 3292, 1619, 21209, 1620, 1048, 5574, 1006, 2042, 1049, 2778, 13232, 1096, 1318, 21189, 1439, 1054, 1094, 3961, 1118, 3997, 1048, 7697, 1079, 8471, 1009, 24884, 5282, 1006, 18470, 88, 1118, 1094, 4263, 17168, 2013, 3057, 5239, 1048, 2373, 4416, 1416, 1535, 19, 3108, 1140, 626, 9047, 8402, 6390, 1005, 8773, 2147, 1187, 11415, 3732, 11464, 1072, 31351, 1009, 3756, 1006, 27756, 1024, 1026, 3129, 1049, 19783, 1114, 3649, 1009, 4601, 1060, 17265, 2374, 6485, 17204, 1005, 3748, 9290, 1930, 2374, 1592, 11655, 6063, 11145, 1005, 7707, 20, 8466, 8098, 1048, 1289, 3982, 11214, 1044, 7228, 1365, 1006, 5556, 1005, 1006, 8211, 1114, 7507, 1009, 6029, 1012, 1024, 2088, 23068, 1048, 10316, 1663, 1094, 5655, 11444, 1049, 19783, 1072, 2535, 1060, 3578, 1049, 2778, 1223, 2270, 3295, 30562, 1005, 1098, 14, 1363, 15, 92, 2101, 1060, 2042, 2858, 7228, 2481, 1072, 8484, 1049, 5239, 2373, 52, 1140, 1049, 1048, 1044, 1531, 5140, 1298, 1178, 8630, 1068, 1006, 16234, 626, 8847, 1029, 1363, 10924, 15, 1542, 13399, 1094, 7401, 18, 9253, 1026, 17470, 1024, 1187, 16250, 2309, 8326, 1009, 5556, 1206, 5417, 4200, 1208, 1024, 1044, 3761, 1693, 18874, 12567, 18, 3638, 1481, 1451, 6397, 1009, 2073, 5239, 3774, 3617, 1535, 19, 9613, 1213, 5593, 1800, 1026, 19783, 1054, 1235, 3129, 1009, 3649, 1049, 12533, 7068, 2088, 1479, 3048, 1927, 24332, 1479, 24079, 156, 2147, 1365, 1026, 16074, 14895, 1005, 1026, 2733, 1624, 25158, 1046, 1132, 8654, 1049, 3129, 1068, 5172, 1026, 3756, 1159, 1058, 25985, 5867, 19, 12374, 12533, 1423, 1278, 1679, 16250, 1118, 2191, 1060, 4751, 3761, 27748, 31612, 1902, 3761, 1096, 16977, 4324, 1973, 31629, 9725, 18, 2730, 7326, 3509, 14232, 2573, 1049, 2717, 1672, 5530, 1005, 2360, 626, 2023, 19535, 1037, 1188, 1159, 1094, 2373, 1774, 1212, 1010, 1027, 626, 1009, 1786, 3607, 15907, 3754, 1048, 1026, 3761, 4955, 1094, 2596, 4788, 1009, 2333, 15835, 1044, 2373, 11570, 1040, 2815, 626, 1187, 2421, 11176, 19426, 1992, 1049, 1109, 19, 1011, 1275, 1009, 3649, 1060, 16234, 6062, 9732, 4075, 1213, 25327, 1006, 2562, 1009, 28468, 2373, 2300, 10908, 626, 1009, 1044, 4995, 6958, 31972, 2250, 1206, 3229, 1349, 10920, 1006, 4785, 19, 675, 1055, 1009, 1744, 26638, 1365, 1124, 2880, 1005, 1026, 12782, 1365, 1124, 1558, 1016, 1005, 1124, 5625, 1009, 1044, 18861, 1365, 1026, 3761, 1005, 1124, 22241, 18601, 1048, 18475, 1026, 11602, 16406, 1505, 3005, 1752, 3761, 1096, 4310, 1009, 2373, 11570, 1040, 1146, 2705, 4324, 1054, 1224, 2373, 1774, 1212, 1010, 1027, 626, 11655, 18304, 14970, 7653, 1005, 11415, 2464, 1009, 1094, 2596, 1206, 1009, 20650, 1116, 19, 5082, 92, 1975, 1006, 6365, 1054, 1044, 7620, 1557, 1005, 3182, 16406, 5841, 10091, 4279, 28981, 1026, 2011, 1043, 1124, 4816, 1006, 1415, 19, 1030, 1130, 1009, 1456, 8654, 8497, 10737, 5726, 1009, 7443, 16377, 2789, 1121, 1072, 2952, 2170, 17087, 3649, 1060, 6386, 1356, 2373, 74, 15290, 8226, 1482, 1734, 1261, 19, 1025, 1229, 23167, 10541, 1159, 5680, 3974, 1098, 27310, 1233, 29609, 5423, 3130, 2373, 56, 1252, 2636, 2135, 1049, 2421, 15277, 2135, 9684, 4007, 1435, 2135, 2309, 20416, 6420, 2135, 8667, 1157, 2135, 1054, 1752, 16997, 3097, 2135, 5249, 1157, 2135, 1054, 1752, 2204, 24436, 2135, 1776, 6548, 1060, 3922, 2135, 17422, 1802, 2135, 15560, 3761, 2135, 1096, 10320, 3320, 626, 1156, 6089, 45, 4212, 21957, 9355, 13096, 1152, 1063, 3578, 1049, 2778, 13232, 1357, 6216, 1049, 11248, 1060, 1128, 2877, 1967, 2944, 3406, 3487, 15, 2373, 1469, 3060, 1040, 626, 1044, 2421, 1337, 1006, 2323, 1271, 1558, 1016, 1049, 3761, 1054, 2191, 1006, 1315, 19, 1015, 1887, 1005, 9200, 1054, 13650, 1955, 19609, 1048, 7813, 1202, 1026, 3756, 1376, 1219, 2006, 1005, 7951, 1043, 1048, 1155, 19, 1086, 4074, 8810, 1005, 5138, 1596, 12768, 1114, 6365, 1160, 1558, 21399, 32, 4933, 19, 17146, 8356, 1060, 21115, 1187, 15347, 1005, 1187, 20611, 1114, 2042, 23047, 1187, 1116, 19, 18151, 3036, 10945, 1726, 12697, 21933, 1271, 13591, 1060, 12854, 17204, 1206, 1592, 1049, 19270, 1303, 3488, 3500, 1679, 7328, 3732, 1048, 1125, 19, 1761, 96, 2644, 1005, 3895, 1412, 1054, 6390, 24875, 1006, 2042, 1049, 6432, 1005, 1049, 3756, 1159, 16430, 16169, 1060, 4263, 1005, 18601, 1160, 23065, 19, 1271, 1233, 3568, 5086, 1091, 20707, 5838, 1160, 15, 21945, 1149, 1114, 13043, 16406, 3782, 9613, 1159, 1160, 3012, 3417, 1009, 18874, 8354, 1054, 3593, 4375, 1043, 1026, 3429, 1187, 8326, 1009, 21107, 1054, 1569, 7055, 1009, 16599, 2762, 4422, 1009, 3284, 1005, 2203, 3803, 2013, 1098, 1259, 5336, 3057, 13745, 1048, 3028, 2042, 1325, 31219, 1009, 4278, 1054, 1048, 2755, 1006, 22114, 1187, 5726, 1009, 5239, 12772, 1213, 2729, 1049, 8410, 16056, 1009, 1044, 2446, 1009, 2373, 74, 2477, 3393, 2225, 24320, 5959, 626, 24, 1479, 3559, 3277, 5156, 1005, 6329, 1188, 1054, 4106, 4044, 2106, 1054, 1558, 1016, 7878, 7088, 1479, 1048, 19713, 3360, 1026, 2373, 28094, 626, 2950, 1006, 2373, 78, 3466, 626, 33, 6071, 10204, 1006, 26016, 1060, 5655, 1009, 1044, 2421, 1337, 1159, 6902, 1071, 2713, 50, 15523, 5529, 17640, 6906, 3612, 1349, 1114, 1428, 1006, 8324, 18954, 1114, 4581, 1005, 21945, 1112, 1009, 30868, 1005, 1376, 1219, 1554, 7029, 2021, 1526, 8356, 2464, 1592, 1114, 2042, 1060, 24672, 1026, 1622, 1009, 2373, 86, 21038, 3754, 626, 2637, 1927, 7062, 28235, 5136, 12583, 1006, 1702, 2446, 1009, 3603, 20, 2034, 8533, 1060, 8324, 1479, 2271, 1006, 8482, 1893, 15, 11765, 1060, 2446, 2847, 5092, 1043, 1006, 8685, 1060, 7245, 7512, 1495, 1124, 7055, 10498, 5817, 1005, 17116, 1219, 1278, 22266, 1392, 1005, 1132, 12059, 1009, 24440, 1479, 7949, 1006, 1465, 19, 5082, 19797, 2277, 11278, 1005, 9200, 9450, 1229, 1026, 1048, 1298, 1005, 1026, 1048, 1160, 1298, 1178, 1004, 9744, 1138, 1048, 6224, 6762, 1159, 6224, 15, 1206, 1160, 1068, 1006, 6365, 20, 21781, 23702, 24907, 5213, 1570, 1423, 1803, 1006, 7272, 3761, 4136, 2373, 1018, 19, 1048, 1197, 626, 1048, 1195, 19370, 1006, 2225, 8416, 1043, 1094, 11267, 1049, 1784, 19915, 8990, 22507, 1138, 2373, 1018, 1022, 5294, 4324, 9175, 1096, 14130, 1026, 3435, 1060, 7689, 1060, 4981, 11444, 1060, 4581, 1009, 1044, 2446, 1009, 9568, 3761, 1513, 19, 1030, 3617, 1138, 3435, 3019, 2568, 1096, 1006, 2373, 1061, 6245, 1049, 19783, 19, 1446, 12671, 1206, 4473, 1006, 2623, 6245, 1009, 1048, 1132, 14267, 1327, 1657, 9732, 12223, 8326, 1009, 5556, 4004, 7647, 2184, 9673, 1009, 6825, 1427, 5487, 1009, 17549, 31771, 1040, 13084, 1213, 2729, 1049, 1557, 1327, 2355, 4528, 1187, 1118, 3275, 79, 2591, 3309, 79, 1159, 2373, 74, 2477, 7094, 19020, 626, 1005, 12489, 1094, 13914, 4788, 1049, 2011, 1009, 4981, 3774, 3336, 2978, 30562, 1005, 1098, 14, 1363, 15, 92, 2101, 1060, 2042, 1206, 7471, 2711, 23105, 28942, 15199, 1213, 8853, 1645, 1235, 9797 ]

[ 26786, 1973, 1657, 1048, 13907, 1040, 5669, 2940, 1569, 19028, 2116, 1573, 8, 1005, 1048, 3902, 1094, 9438, 9482, 1048, 2894, 1694, 1679, 6709, 1309, 1048, 2374, 11924, 1140, 1357, 4141, 1411, 25143, 1160, 25097, 1235, 9179, 10268, 2100, 2494, 3484, 23047, 1026, 26786, 1919, 1620, 9212, 1048, 1026, 24707, 1057, 13489, 1224, 3621, 20, 2858, 7355, 2999, 1717, 1026, 5083, 1843, 1660, 1303, 1049, 3159, 2999, 13594, 1356, 6615, 21242, 1387, 3084, 1498, 22683, 14194, 21233, 1114, 12259, 28586, 7452, 1726, 2128, 2975, 1114, 2413, 5046, 1009, 1764, 10533, 5153, 1026, 16420, 5107, 1026, 7355, 1976, 6242, 1043, 1006, 4455, 1009, 9017, 7546, 11027, 1009, 4320, 17657, 4065, 2966, 1132, 6044, 1049, 20480, 23801, 11574, 5454, 24729, 6709, 1060, 6202, 8185, 1005, 1060, 8240, 2968, 1126, 2247, 1009, 6900, 20, 1, 1138, 2670, 1187, 2138, 6547, 26017, 3072, 13174, 4064, 1114, 3696, 3019, 8184, 1006, 16143, 3861, 1049, 17761, 6861, 1068, 1094, 7344, 1009, 2125, 2250, 1213, 7751, 16056, 1060, 5994, 7344, 1009, 1044, 2670, 5414, 2271, 1026, 1852, 1060, 3578, 1049, 17761, 6861, 1054, 22423, 1986, 1124, 6626, 1118, 6525, 21433, 1005, 7413, 10100, 21847, 20, 1138, 7398, 30270, 4762, 1324, 10424, 14335, 21667, 18171, 1079, 1114, 3861, 3745, 1095, 10958, 1497, 4108, 1986, 1124, 3186, 11154, 4290, 29119, 11154, 1054, 8750, 1349, 6485, 2738, 1233, 7344, 23047, 1890, 1006, 1428, 12785, 1058, 3332, 5694, 1043, 8813, 31092, 3745, 1095, 10958, 1907, 1005, 6379, 156, 1945, 1124, 6298, 1043, 1044, 1908, 24658, 1005, 6132, 6633, 7339, 4975, 1657, 5878, 3952, 1068, 3417, 1006, 4769, 11171, 1126, 12785, 9606, 10066, 2237, 5099, 1068, 13056, 1791, 1187, 25441, 1009, 1224, 3568, 3068, 2413, 1049, 5108, 1159, 1026, 24613, 5180, 20080, 9517, 1009, 13293, 13016, 4139, 54, 11285, 1005, 1026, 23458, 1009, 20022, 1043, 1132, 3825, 1060, 10909, 13511, 1094, 12831, 1752, 1472, 1184, 24280, 1009, 26150, 1294, 10016, 30382, 23489, 5845, 2237, 4793, 1126, 1026, 2670, 5414, 1058, 3332, 5694, 1043, 1132, 3145, 23399, 3019, 1908, 1009, 1184, 1009, 6653, 2744, 1009, 13409, 17785, 1044, 9568, 1054, 24146, 2170, 19017, 4054, 150, 1068, 7022, 1009, 4717, 1574, 79, 2819, 18, 5530, 2741, 1122, 3529, 1048, 1058, 4312, 1026, 5620, 19760, 1027, 10293, 1049, 17761, 6861, 1571, 1058, 18501, 1043, 5162, 3745, 1095, 10958, 21199, 2951, 1521, 4292, 6672, 22923, 4909, 1071, 22915, 7000, 15, 1072, 1058, 1047, 1060, 16682, 3745, 1095, 10958, 5602, 1309, 1006, 11184, 18607, 1009, 26150, 1072, 1449, 1060, 5310, 16130, 1038, 1341, 2521, 31138, 1006, 10712, 1149, 1005, 29895, 1006, 1094, 19701, 1184, 8403, 1043, 1132, 2138, 2365, 1406, 9847, 30081, 1207, 79, 1375, 28651, 25493, 1049, 11383, 1234, 1809, 17855, 1031, 2159, 9318, 9257, 11393, 1084, 6923, 4414, 135, 40, 13746, 5310, 1005, 23875, 4651, 1046, 25457, 1271, 13262, 1972, 4390, 1135, 1005, 1271, 11723, 2478, 1485, 31601, 1791, 1886, 15274, 10144, 1072, 2191, 1271, 8918, 16030, 4146, 31337, 1138, 17761, 6861, 7153, 7340, 1044, 6550, 1006, 10289, 2334, 1309, 1318, 1043, 1006, 7898, 1009, 3944, 3033, 1569, 5298, 23766, 1005, 11778, 1006, 12345, 1271, 6786, 19989, 1273, 28217, 1043, 13425, 7149, 1309, 1043, 3227, 1043, 7000, 20, 1138, 1908, 16297, 4631, 2540, 1094, 12849, 1049, 17207, 1385, 1060, 5641, 1009, 6786, 3252, 1056, 1728, 2800, 28518, 1826, 1132, 6486, 1009, 19345, 1009, 19953, 1005, 1009, 7970, 16030, 17593, 3943, 23875, 10752, 1094, 3568, 1009, 1538, 9306, 2484, 13, 1009, 1456, 5870, 17880, 1406, 5365, 1079, 1868, 3351, 1108, 22392, 95, 1870, 1060, 2828, 1009, 3047, 21568, 1049, 13759, 1138, 1908, 17358, 5538, 2808, 1044, 9179, 1054, 1569, 6298, 1043, 1124, 3056, 3359, 15987, 1305, 1058, 9973, 1024, 1043, 4697, 8545, 2100, 1138, 10470, 21667, 1048, 1927, 11715, 1079, 1006, 12849, 1049, 17207, 1385, 1213, 12271, 1072, 3428, 1187, 3997, 16495, 1160, 9923, 1569, 23398, 1006, 5085, 1996, 1060, 5099, 20, 4083, 2138, 6547, 2350, 18601, 8181, 15535, 1412, 1717, 1094, 4497, 17540, 5780, 1322, 1026, 21354, 1213, 1160, 5265, 1572, 24189, 7284, 1118, 1751, 1049, 7838, 2229, 7407, 1119, 30684, 1119, 7309, 50, 3640, 28955, 9761, 2494, 3349, 27397, 1132, 1791, 3825, 23009, 1419, 13979, 10707, 6154, 1026, 16426, 28898, 20080, 9517, 1009, 13293, 13016, 4139, 54, 15908, 3835, 1069, 1365, 2224, 3825, 1060, 10909, 1309, 7329, 16163, 2484, 1356, 7026, 5414, 1096, 1455, 2260, 20, 1138, 3489, 1049, 2671, 12785, 9165, 1054, 1160, 3417, 1006, 5310, 1150, 3247, 12061, 1124, 6264, 8, 1187, 13177, 5652, 1333, 7958, 1114, 12873, 26114, 1908, 26896, 1048, 1325, 1365, 1132, 2331, 1065, 5454, 23875, 3012, 1178, 1044, 1187, 3056, 7071, 10915, 1049, 29799, 1063, 3161, 4612, 15303, 1446, 1034, 5319, 1365, 4152, 1005, 3209, 1406, 14585, 1026, 10852, 2127, 5414, 1068, 1026, 1424, 3908, 2037, 6873, 25620, 9332, 8218, 1188, 1009, 1048, 1006, 1111, 3679, 1206, 1006, 6937, 1271, 28604, 22823, 1222, 77, 2012, 6394, 150, 24476, 7741, 1726, 3235, 3252, 1056, 1728, 4333, 1006, 6411, 1009, 17704, 1132, 20022, 1043, 1044, 6159, 2512, 1049, 15453, 16297, 4631, 1005, 1006, 4716, 1009, 15999, 1006, 2869, 1479, 2632, 2163, 1126, 1309, 6740, 620, 1043, 1006, 12661, 12785, 4597, 1048, 2808, 1026, 2191, 5497, 20, 3943, 24482, 1043, 1026, 1428, 1026, 23875, 4145, 1124, 7325, 6785, 27139, 1006, 1094, 4281, 9692, 1184, 3838, 3012, 1178, 5077, 1538, 6665, 23608, 13, 1114, 5310, 1406, 5444, 8781, 95, 1073, 4075, 1049, 23562, 13923, 2686, 1870, 1068, 2306, 12785, 7412, 1058, 21884, 1006, 1094, 8055, 6372, 1140, 9752, 10374, 2672, 2100, 4567, 1049, 17761, 6861, 12785, 4054, 150, 1068, 1026, 14241, 1571, 2067, 1945, 1060, 1062, 11208, 1814, 1049, 1163, 2525, 1996, 1009, 1058, 1650, 1930, 1054, 3734, 1009, 12397, 1026, 1831, 2670, 5414, 1054, 7757, 1006, 9773, 1026, 7341, 21172, 1060, 11918, 18, 1054, 1207, 7259, 78, 11930, 1, 4733, 1006, 23496, 1145, 6228, 1068, 1124, 26281, 1060, 11514, 5783, 1026, 1764, 2434, 1160, 1195, 1680, 1072, 1235, 1831, 2666, 1072, 7501, 3471, 79, 1356, 3848, 6278, 1005, 1195, 17379, 1356, 4594, 1118, 1101, 1006, 1083, 1114, 3232, 3019, 8184, 18999, 1349, 1357, 2750, 8404, 1060, 26412, 4567, 1009, 1419, 1026, 4594, 4125, 1006, 1712, 1751, 1049, 1557, 1054, 9013, 1072, 8939, 8548, 1213, 2933, 1009, 7626, 31356, 1107, 1620, 1072, 1831, 4248, 1026, 4478, 1327, 19, 2002, 1075, 1468, 1195, 8290, 1026, 12634, 1043, 2933, 1049, 21525, 2397, 77, 1577, 1679, 15166, 1498, 1060, 6947, 16610, 9528, 1006, 2759, 17248, 5716, 1061, 1079, 1114, 23670, 4108, 1054, 9033, 1005, 9846, 1184, 1044, 2933, 1009, 7626, 31356, 4385, 1048, 16954, 1079, 1006, 4744, 18650, 3208, 1679, 12085, 1498, 20, 1424, 1006, 4155, 2528, 4478, 1049, 6304, 23493, 1136, 1106, 2363, 2112, 6895, 1043, 1132, 2125, 3328, 4311, 1166, 1114, 4744, 1322, 1026, 18778, 1114, 29063, 1114, 2475, 0, 2791, 3803, 5011, 1006, 2759, 1009, 4284, 10980, 4064, 1679, 2848, 18, 1072, 5512, 15682, 2494, 4958, 31646, 13538, 1068, 1026, 2191, 1009, 9269, 1026, 1764, 2434, 2155, 8290, 1006, 27234, 1213, 9773, 1026, 3258, 8002, 71, 1114, 4886, 15883, 1349, 1726, 27159, 26, 2639, 5011, 1026, 4594, 17212, 1026, 6707, 1072, 1531, 20185, 1, 1138, 10374, 1889, 10974, 4523, 9975, 2177, 1026, 2017, 7778, 13209, 1049, 3614, 1046, 25201, 2196, 2277, 5333, 1114, 24199, 1049, 17546, 20, 1138, 3633, 3842, 1526, 1049, 4434, 1100, 12376, 4858, 30057, 2177, 1026, 3867, 22524, 1049, 1561, 1114, 6429, 5949, 1138, 1413, 29506, 3236, 8128, 22403, 1124, 5376, 3057, 8184, 18999, 1565, 13803, 1371, 1048, 4523, 29345, 10852, 1049, 1561, 1114, 10870, 3747, 1009, 1424, 3908, 2037, 14199, 1213, 5333, 1044, 3745, 1732, 1184, 12583, 1006, 5729, 7958, 20, 1138, 3633, 22524, 1054, 15009, 26196, 4477, 23859, 14413, 14359, 1273, 5544, 1068, 1006, 10068, 5092, 3994, 1233, 4630, 5559, 2275, 27802, 1006, 5579, 1009, 4523, 9975, 3659, 1043, 1044, 5333, 12227, 1213, 1009, 4858, 30057, 1309, 1006, 4081, 2909, 28547, 1902, 11096, 4810, 1068, 1026, 4308, 1060, 7102, 20, 8128, 26393, 3057, 8184, 1233, 17140, 1908, 7302, 2671, 1096, 4947, 1159, 22340, 4631, 1233, 5110, 10340, 4115, 2652, 1, 1424, 26922, 1549, 7689, 15461, 5160, 1026, 13146, 7035, 1118, 1307, 1006, 4662, 1009, 7616, 5842, 1068, 1026, 8039, 1072, 9988, 2529, 1625, 1627, 1054, 19193, 1357, 2750, 8404, 1049, 3848, 6278, 20, 1424, 1026, 14097, 1026, 4478, 17248, 7035, 1006, 1762, 1447, 3003, 1009, 5878, 24238, 1972, 20116, 19276, 16469, 3251, 9297, 1305, 3991, 2652, 1766, 1791, 7882, 1049, 4346, 1009, 7341, 1764, 6916, 1596, 18910, 1118, 4128, 1153, 3150, 1228, 1444, 1045, 8951, 1026, 17050, 1679, 3734, 1498, 18, 1309, 22099, 4660, 2707, 1018, 11870, 1079, 2125, 4686, 21142, 1134, 17887, 1057, 11178, 2865, 1026, 11093, 1021, 17856, 1054, 5955, 6495, 1679, 1307, 3218, 2494, 6947, 7223, 1570, 5489, 1679, 12540, 1005, 1344, 79, 7253, 1679, 15876, 2355, 2644, 1026, 17050, 1006, 3653, 1187, 3178, 31180, 1063, 9348, 4454, 1026, 13146, 1114, 1984, 0, 23707, 1043, 1657, 1044, 1883, 1667, 5011, 1026, 2296, 6041, 4328, 17856, 1225, 2125, 1005, 17005, 1026, 2523, 0, 15682, 2494, 4958, 31646, 1026, 8039, 26393, 1495, 10055, 22058, 1571, 1114, 9307, 15883, 15, 15566, 1026, 3836, 3936, 11880, 1072, 9988, 10253, 10934, 17573, 23632, 1049, 1531, 7715, 1026, 11093, 1021, 17856, 17940, 1006, 12237, 30041, 1072, 7019, 1643, 3320, 1138, 1180, 9696, 53, 1424, 2125, 5376, 1054, 2869, 1213, 2666, 1009, 6559, 1711, 85, 15545, 12843, 1005, 1132, 31241, 2961, 1573, 11006, 1005, 21927, 11377, 1294, 6453, 1009, 1062, 3706, 2037, 5800, 1103, 1810, 1005, 3394, 9356, 10663, 1711, 18, 1026, 13146, 2845, 1006, 5618, 1251, 91, 1069, 1357, 6973, 24280, 1049, 8039, 20, 1766, 3178, 6436, 15362, 1412, 1026, 9256, 4607, 1054, 7101, 1140, 1009, 7438, 1081, 1679, 1422, 1498, 20, 8335, 1006, 8374, 14939, 1072, 6147, 2569, 1159, 4410, 1006, 7288, 1777, 1114, 1733, 14369, 4083, 3454, 1662, 1229, 1026, 13146, 18477, 2664, 8554, 4807, 1054, 22936, 1889, 30072, 3126, 3987, 1871, 1048, 1228, 1444, 1045, 8951, 1026, 7810, 1930, 1986, 30949, 1006, 2236, 1305, 23670, 1005, 1413, 19191, 5242, 1069, 1679, 3734, 1498, 20, 1138, 12634, 5857, 1054, 4702, 1054, 22811, 1009, 4783, 1049, 31241, 2961, 1291, 22099, 4660, 2707, 2223, 1482, 23149, 31297, 1264, 8445, 1079, 1060, 23670, 1009, 10660, 7980, 1005, 12912, 1005, 10845, 2979, 1049, 10008, 1009, 12843, 20, 14351, 10070, 1498, 18, 21927, 11377, 3661, 1114, 7116, 2170, 1043, 1557, 1005, 17353, 1160, 2569, 19305, 1068, 9126, 1134, 10257, 1870, 8757, 4710, 1006, 9013, 1213, 13146, 20, 4733, 1026, 4771, 26250, 1132, 11409, 1058, 1098, 27050, 1202, 20, 1063, 2759, 17248, 3475, 1006, 2115, 1439, 4810, 15461, 3830, 20, 14351, 2475, 1498, 18, 1228, 1444, 1045, 8253, 20405, 5095, 5242, 1140, 1060, 8643, 1005, 1429, 9213, 1079, 1570, 17833, 2494, 1288, 2339, 1026, 8486, 2296, 6041, 4328, 17856, 24017, 1068, 3191, 8193, 1026, 13650, 1138, 1177, 4686, 5738, 1006, 2752, 6719, 1359, 1203, 2860, 1998, 24811, 1511, 22099, 4660, 2707, 1018, 3708, 1344, 79, 2563, 4659, 1054, 5181, 3843, 1138, 13099, 2569, 1557, 1009, 1288, 1007, 1068, 24536, 1005, 27175, 1114, 4701, 1009, 12843, 1068, 16954, 1024, 1026, 1831, 25601, 1049, 8039, 1322, 1026, 13146, 18, 1054, 1561, 5425, 2271, 22839, 1, 3316, 2759, 1060, 10502, 2769, 1009, 8084, 9945, 5544, 10512, 1024, 2435, 3068, 9560, 19679, 15, 1054, 1764, 6656, 3306, 11515, 1068, 10075, 1006, 6935, 1072, 6942, 1233, 30677, 1986, 1094, 2700, 1009, 8332, 1006, 8880, 1114, 3861, 1025, 9106, 25732, 1138, 12054, 1271, 9109, 13167, 1195, 10331, 3057, 8184, 18999, 15, 1356, 6615, 18996, 1119, 1468, 2645, 41, 1136, 23376, 1054, 4253, 1463, 4928, 18014, 4116, 13877, 24925, 9449, 4343, 6098, 1060, 5980, 20, 7731, 1006, 3808, 9707, 1967, 1349, 2322, 8880, 1596, 31154, 3259, 1054, 8332, 1114, 3861, 1049, 2956, 1005, 1054, 2089, 2125, 4761, 10157, 1728, 1766, 8332, 1596, 5672, 1166, 1118, 12478, 1049, 25445, 6257, 28584, 6249, 1009, 3483, 88, 13235, 1054, 1764, 6656, 20, 1482, 7127, 1006, 4087, 1049, 1465, 8645, 1155, 5165, 1079, 1026, 1908, 1511, 1006, 14543, 9923, 1094, 2700, 1009, 2349, 1241, 6834, 5672, 1312, 1118, 2317, 1161, 1009, 2453, 1009, 1456, 1025, 17654, 1048, 2829, 7107, 1312, 2309, 1465, 1554, 1482, 1664, 1132, 4278, 1187, 25666, 3987, 9269, 2277, 1006, 6068, 6990, 1005, 28874, 1009, 9732, 12223, 1132, 21875, 9686, 2232, 1241, 3789, 2585, 31753, 21913, 1005, 2894, 1412, 7120, 1294, 4726, 6875, 1048, 8097, 16233, 5263, 1794, 1554, 1144, 21175, 3271, 2793, 2425, 5330, 1766, 8332, 2261, 1412, 5832, 1114, 17224, 1048, 1716, 5233, 18718, 1357, 8363, 2494, 9137, 6323, 15, 1005, 1072, 8733, 17466, 1349, 1026, 17201, 1187, 23117, 1480, 1049, 15889, 22378, 1026, 15293, 1337, 1009, 1664 ]

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

[ 26786, 1973, 1657, 1048, 13907, 1040, 5669, 2940, 1569, 19028, 2116, 1573, 8, 1005, 1048, 3902, 1094, 9438, 9482, 1048, 2894, 1694, 1679, 6709, 1309, 1048, 2374, 11924, 1140, 1357, 4141, 1411, 25143, 1160, 25097, 1235, 9179, 10268, 2100, 2494, 3484, 23047, 1026, 26786, 1919, 1620, 9212, 1048, 1026, 24707, 1057, 13489, 1224, 3621, 20, 2858, 7355, 2999, 1717, 1026, 5083, 1843, 1660, 1303, 1049, 3159, 2999, 13594, 1356, 6615, 21242, 1387, 3084, 1498, 22683, 14194, 21233, 1114, 12259, 28586, 7452, 1726, 2128, 2975, 1114, 2413, 5046, 1009, 1764, 10533, 5153, 1026, 16420, 5107, 1026, 7355, 1976, 6242, 1043, 1006, 4455, 1009, 9017, 7546, 11027, 1009, 4320, 17657, 4065, 2966, 1132, 6044, 1049, 20480, 23801, 11574, 5454, 24729, 6709, 1060, 6202, 8185, 1005, 1060, 8240, 2968, 1126, 2247, 1009, 6900, 20, 1, 1138, 2670, 1187, 2138, 6547, 26017, 3072, 13174, 4064, 1114, 3696, 3019, 8184, 1006, 16143, 3861, 1049, 17761, 6861, 1068, 1094, 7344, 1009, 2125, 2250, 1213, 7751, 16056, 1060, 5994, 7344, 1009, 1044, 2670, 5414, 2271, 1026, 1852, 1060, 3578, 1049, 17761, 6861, 1054, 22423, 1986, 1124, 6626, 1118, 6525, 21433, 1005, 7413, 10100, 21847, 20, 1138, 7398, 30270, 4762, 1324, 10424, 14335, 21667, 18171, 1079, 1114, 3861, 3745, 1095, 10958, 1497, 4108, 1986, 1124, 3186, 11154, 4290, 29119, 11154, 1054, 8750, 1349, 6485, 2738, 1233, 7344, 23047, 1890, 1006, 1428, 12785, 1058, 3332, 5694, 1043, 8813, 31092, 3745, 1095, 10958, 1907, 1005, 6379, 156, 1945, 1124, 6298, 1043, 1044, 1908, 24658, 1005, 6132, 6633, 7339, 4975, 1657, 5878, 3952, 1068, 3417, 1006, 4769, 11171, 1126, 12785, 9606, 10066, 2237, 5099, 1068, 13056, 1791, 1187, 25441, 1009, 1224, 3568, 3068, 2413, 1049, 5108, 1159, 1026, 24613, 5180, 20080, 9517, 1009, 13293, 13016, 4139, 54, 11285, 1005, 1026, 23458, 1009, 20022, 1043, 1132, 3825, 1060, 10909, 13511, 1094, 12831, 1752, 1472, 1184, 24280, 1009, 26150, 1294, 10016, 30382, 23489, 5845, 2237, 4793, 1126, 1026, 2670, 5414, 1058, 3332, 5694, 1043, 1132, 3145, 23399, 3019, 1908, 1009, 1184, 1009, 6653, 2744, 1009, 13409, 17785, 1044, 9568, 1054, 24146, 2170, 19017, 4054, 150, 1068, 7022, 1009, 4717, 1574, 79, 2819, 18, 5530, 2741, 1122, 3529, 1048, 1058, 4312, 1026, 5620, 19760, 1027, 10293, 1049, 17761, 6861, 1571, 1058, 18501, 1043, 5162, 3745, 1095, 10958, 21199, 2951, 1521, 4292, 6672, 22923, 4909, 1071, 22915, 7000, 15, 1072, 1058, 1047, 1060, 16682, 3745, 1095, 10958, 5602, 1309, 1006, 11184, 18607, 1009, 26150, 1072, 1449, 1060, 5310, 16130, 1038, 1341, 2521, 31138, 1006, 10712, 1149, 1005, 29895, 1006, 1094, 19701, 1184, 8403, 1043, 1132, 2138, 2365, 1406, 9847, 30081, 1207, 79, 1375, 28651, 25493, 1049, 11383, 1234, 1809, 17855, 1031, 2159, 9318, 9257, 11393, 1084, 6923, 4414, 135, 40, 13746, 5310, 1005, 23875, 4651, 1046, 25457, 1271, 13262, 1972, 4390, 1135, 1005, 1271, 11723, 2478, 1485, 31601, 1791, 1886, 15274, 10144, 1072, 2191, 1271, 8918, 16030, 4146, 31337, 1138, 17761, 6861, 7153, 7340, 1044, 6550, 1006, 10289, 2334, 1309, 1318, 1043, 1006, 7898, 1009, 3944, 3033, 1569, 5298, 23766, 1005, 11778, 1006, 12345, 1271, 6786, 19989, 1273, 28217, 1043, 13425, 7149, 1309, 1043, 3227, 1043, 7000, 20, 1138, 1908, 16297, 4631, 2540, 1094, 12849, 1049, 17207, 1385, 1060, 5641, 1009, 6786, 3252, 1056, 1728, 2800, 28518, 1826, 1132, 6486, 1009, 19345, 1009, 19953, 1005, 1009, 7970, 16030, 17593, 3943, 23875, 10752, 1094, 3568, 1009, 1538, 9306, 2484, 13, 1009, 1456, 5870, 17880, 1406, 5365, 1079, 1868, 3351, 1108, 22392, 95, 1870, 1060, 2828, 1009, 3047, 21568, 1049, 13759, 1138, 1908, 17358, 5538, 2808, 1044, 9179, 1054, 1569, 6298, 1043, 1124, 3056, 3359, 15987, 1305, 1058, 9973, 1024, 1043, 4697, 8545, 2100, 1138, 10470, 21667, 1048, 1927, 11715, 1079, 1006, 12849, 1049, 17207, 1385, 1213, 12271, 1072, 3428, 1187, 3997, 16495, 1160, 9923, 1569, 23398, 1006, 5085, 1996, 1060, 5099, 20, 4083, 2138, 6547, 2350, 18601, 8181, 15535, 1412, 1717, 1094, 4497, 17540, 5780, 1322, 1026, 21354, 1213, 1160, 5265, 1572, 24189, 7284, 1118, 1751, 1049, 7838, 2229, 7407, 1119, 30684, 1119, 7309, 50, 3640, 28955, 9761, 2494, 3349, 27397, 1132, 1791, 3825, 23009, 1419, 13979, 10707, 6154, 1026, 16426, 28898, 20080, 9517, 1009, 13293, 13016, 4139, 54, 15908, 3835, 1069, 1365, 2224, 3825, 1060, 10909, 1309, 7329, 16163, 2484, 1356, 7026, 5414, 1096, 1455, 2260, 20, 1138, 3489, 1049, 2671, 12785, 9165, 1054, 1160, 3417, 1006, 5310, 1150, 3247, 12061, 1124, 6264, 8, 1187, 13177, 5652, 1333, 7958, 1114, 12873, 26114, 1908, 26896, 1048, 1325, 1365, 1132, 2331, 1065, 5454, 23875, 3012, 1178, 1044, 1187, 3056, 7071, 10915, 1049, 29799, 1063, 3161, 4612, 15303, 1446, 1034, 5319, 1365, 4152, 1005, 3209, 1406, 14585, 1026, 10852, 2127, 5414, 1068, 1026, 1424, 3908, 2037, 6873, 25620, 9332, 8218, 1188, 1009, 1048, 1006, 1111, 3679, 1206, 1006, 6937, 1271, 28604, 22823, 1222, 77, 2012, 6394, 150, 24476, 7741, 1726, 3235, 3252, 1056, 1728, 4333, 1006, 6411, 1009, 17704, 1132, 20022, 1043, 1044, 6159, 2512, 1049, 15453, 16297, 4631, 1005, 1006, 4716, 1009, 15999, 1006, 2869, 1479, 2632, 2163, 1126, 1309, 6740, 620, 1043, 1006, 12661, 12785, 4597, 1048, 2808, 1026, 2191, 5497, 20, 3943, 24482, 1043, 1026, 1428, 1026, 23875, 4145, 1124, 7325, 6785, 27139, 1006, 1094, 4281, 9692, 1184, 3838, 3012, 1178, 5077, 1538, 6665, 23608, 13, 1114, 5310, 1406, 5444, 8781, 95, 1073, 4075, 1049, 23562, 13923, 2686, 1870, 1068, 2306, 12785, 7412, 1058, 21884, 1006, 1094, 8055, 6372, 1140, 9752, 10374, 2672, 2100, 4567, 1049, 17761, 6861, 12785, 4054, 150, 1068, 1026, 14241, 1571, 2067, 1945, 1060, 1062, 11208, 1814, 1049, 1163, 2525, 1996, 1009, 1058, 1650, 1930, 1054, 3734, 1009, 12397, 1026, 1831, 2670, 5414, 1054, 7757, 1006, 9773, 1026, 7341, 21172, 1060, 11918, 18, 1054, 1207, 7259, 78, 11930, 1, 4733, 1006, 23496, 1145, 6228, 1068, 1124, 26281, 1060, 11514, 5783, 1026, 1764, 2434, 1160, 1195, 1680, 1072, 1235, 1831, 2666, 1072, 7501, 3471, 79, 1356, 3848, 6278, 1005, 1195, 17379, 1356, 4594, 1118, 1101, 1006, 1083, 1114, 3232, 3019, 8184, 18999, 1349, 1357, 2750, 8404, 1060, 26412, 4567, 1009, 1419, 1026, 4594, 4125, 1006, 1712, 1751, 1049, 1557, 1054, 9013, 1072, 8939, 8548, 1213, 2933, 1009, 7626, 31356, 1107, 1620, 1072, 1831, 4248, 1026, 4478, 1327, 19, 2002, 1075, 1468, 1195, 8290, 1026, 12634, 1043, 2933, 1049, 21525, 2397, 77, 1577, 1679, 15166, 1498, 1060, 6947, 16610, 9528, 1006, 2759, 17248, 5716, 1061, 1079, 1114, 23670, 4108, 1054, 9033, 1005, 9846, 1184, 1044, 2933, 1009, 7626, 31356, 4385, 1048, 16954, 1079, 1006, 4744, 18650, 3208, 1679, 12085, 1498, 20, 1424, 1006, 4155, 2528, 4478, 1049, 6304, 23493, 1136, 1106, 2363, 2112, 6895, 1043, 1132, 2125, 3328, 4311, 1166, 1114, 4744, 1322, 1026, 18778, 1114, 29063, 1114, 2475, 0, 2791, 3803, 5011, 1006, 2759, 1009, 4284, 10980, 4064, 1679, 2848, 18, 1072, 5512, 15682, 2494, 4958, 31646, 13538, 1068, 1026, 2191, 1009, 9269, 1026, 1764, 2434, 2155, 8290, 1006, 27234, 1213, 9773, 1026, 3258, 8002, 71, 1114, 4886, 15883, 1349, 1726, 27159, 26, 2639, 5011, 1026, 4594, 17212, 1026, 6707, 1072, 1531, 20185, 1, 1138, 10374, 1889, 10974, 4523, 9975, 2177, 1026, 2017, 7778, 13209, 1049, 3614, 1046, 25201, 2196, 2277, 5333, 1114, 24199, 1049, 17546, 20, 1138, 3633, 3842, 1526, 1049, 4434, 1100, 12376, 4858, 30057, 2177, 1026, 3867, 22524, 1049, 1561, 1114, 6429, 5949, 1138, 1413, 29506, 3236, 8128, 22403, 1124, 5376, 3057, 8184, 18999, 1565, 13803, 1371, 1048, 4523, 29345, 10852, 1049, 1561, 1114, 10870, 3747, 1009, 1424, 3908, 2037, 14199, 1213, 5333, 1044, 3745, 1732, 1184, 12583, 1006, 5729, 7958, 20, 1138, 3633, 22524, 1054, 15009, 26196, 4477, 23859, 14413, 14359, 1273, 5544, 1068, 1006, 10068, 5092, 3994, 1233, 4630, 5559, 2275, 27802, 1006, 5579, 1009, 4523, 9975, 3659, 1043, 1044, 5333, 12227, 1213, 1009, 4858, 30057, 1309, 1006, 4081, 2909, 28547, 1902, 11096, 4810, 1068, 1026, 4308, 1060, 7102, 20, 8128, 26393, 3057, 8184, 1233, 17140, 1908, 7302, 2671, 1096, 4947, 1159, 22340, 4631, 1233, 5110, 10340, 4115, 2652, 1, 1424, 26922, 1549, 7689, 15461, 5160, 1026, 13146, 7035, 1118, 1307, 1006, 4662, 1009, 7616, 5842, 1068, 1026, 8039, 1072, 9988, 2529, 1625, 1627, 1054, 19193, 1357, 2750, 8404, 1049, 3848, 6278, 20, 1424, 1026, 14097, 1026, 4478, 17248, 7035, 1006, 1762, 1447, 3003, 1009, 5878, 24238, 1972, 20116, 19276, 16469, 3251, 9297, 1305, 3991, 2652, 1766, 1791, 7882, 1049, 4346, 1009, 7341, 1764, 6916, 1596, 18910, 1118, 4128, 1153, 3150, 1228, 1444, 1045, 8951, 1026, 17050, 1679, 3734, 1498, 18, 1309, 22099, 4660, 2707, 1018, 11870, 1079, 2125, 4686, 21142, 1134, 17887, 1057, 11178, 2865, 1026, 11093, 1021, 17856, 1054, 5955, 6495, 1679, 1307, 3218, 2494, 6947, 7223, 1570, 5489, 1679, 12540, 1005, 1344, 79, 7253, 1679, 15876, 2355, 2644, 1026, 17050, 1006, 3653, 1187, 3178, 31180, 1063, 9348, 4454, 1026, 13146, 1114, 1984, 0, 23707, 1043, 1657, 1044, 1883, 1667, 5011, 1026, 2296, 6041, 4328, 17856, 1225, 2125, 1005, 17005, 1026, 2523, 0, 15682, 2494, 4958, 31646, 1026, 8039, 26393, 1495, 10055, 22058, 1571, 1114, 9307, 15883, 15, 15566, 1026, 3836, 3936, 11880, 1072, 9988, 10253, 10934, 17573, 23632, 1049, 1531, 7715, 1026, 11093, 1021, 17856, 17940, 1006, 12237, 30041, 1072, 7019, 1643, 3320, 1138, 1180, 9696, 53, 1424, 2125, 5376, 1054, 2869, 1213, 2666, 1009, 6559, 1711, 85, 15545, 12843, 1005, 1132, 31241, 2961, 1573, 11006, 1005, 21927, 11377, 1294, 6453, 1009, 1062, 3706, 2037, 5800, 1103, 1810, 1005, 3394, 9356, 10663, 1711, 18, 1026, 13146, 2845, 1006, 5618, 1251, 91, 1069, 1357, 6973, 24280, 1049, 8039, 20, 1766, 3178, 6436, 15362, 1412, 1026, 9256, 4607, 1054, 7101, 1140, 1009, 7438, 1081, 1679, 1422, 1498, 20, 8335, 1006, 8374, 14939, 1072, 6147, 2569, 1159, 4410, 1006, 7288, 1777, 1114, 1733, 14369, 4083, 3454, 1662, 1229, 1026, 13146, 18477, 2664, 8554, 4807, 1054, 22936, 1889, 30072, 3126, 3987, 1871, 1048, 1228, 1444, 1045, 8951, 1026, 7810, 1930, 1986, 30949, 1006, 2236, 1305, 23670, 1005, 1413, 19191, 5242, 1069, 1679, 3734, 1498, 20, 1138, 12634, 5857, 1054, 4702, 1054, 22811, 1009, 4783, 1049, 31241, 2961, 1291, 22099, 4660, 2707, 2223, 1482, 23149, 31297, 1264, 8445, 1079, 1060, 23670, 1009, 10660, 7980, 1005, 12912, 1005, 10845, 2979, 1049, 10008, 1009, 12843, 20, 14351, 10070, 1498, 18, 21927, 11377, 3661, 1114, 7116, 2170, 1043, 1557, 1005, 17353, 1160, 2569, 19305, 1068, 9126, 1134, 10257, 1870, 8757, 4710, 1006, 9013, 1213, 13146, 20, 4733, 1026, 4771, 26250, 1132, 11409, 1058, 1098, 27050, 1202, 20, 1063, 2759, 17248, 3475, 1006, 2115, 1439, 4810, 15461, 3830, 20, 14351, 2475, 1498, 18, 1228, 1444, 1045, 8253, 20405, 5095, 5242, 1140, 1060, 8643, 1005, 1429, 9213, 1079, 1570, 17833, 2494, 1288, 2339, 1026, 8486, 2296, 6041, 4328, 17856, 24017, 1068, 3191, 8193, 1026, 13650, 1138, 1177, 4686, 5738, 1006, 2752, 6719, 1359, 1203, 2860, 1998, 24811, 1511, 22099, 4660, 2707, 1018, 3708, 1344, 79, 2563, 4659, 1054, 5181, 3843, 1138, 13099, 2569, 1557, 1009, 1288, 1007, 1068, 24536, 1005, 27175, 1114, 4701, 1009, 12843, 1068, 16954, 1024, 1026, 1831, 25601, 1049, 8039, 1322, 1026, 13146, 18, 1054, 1561, 5425, 2271, 22839, 1, 3316, 2759, 1060, 10502, 2769, 1009, 8084, 9945, 5544, 10512, 1024, 2435, 3068, 9560, 19679, 15, 1054, 1764, 6656, 3306, 11515, 1068, 10075, 1006, 6935, 1072, 6942, 1233, 30677, 1986, 1094, 2700, 1009, 8332, 1006, 8880, 1114, 3861, 1025, 9106, 25732, 1138, 12054, 1271, 9109, 13167, 1195, 10331, 3057, 8184, 18999, 15, 1356, 6615, 18996, 1119, 1468, 2645, 41, 1136, 23376, 1054, 4253, 1463, 4928, 18014, 4116, 13877, 24925, 9449, 4343, 6098, 1060, 5980, 20, 7731, 1006, 3808, 9707, 1967, 1349, 2322, 8880, 1596, 31154, 3259, 1054, 8332, 1114, 3861, 1049, 2956, 1005, 1054, 2089, 2125, 4761, 10157, 1728, 1766, 8332, 1596, 5672, 1166, 1118, 12478, 1049, 25445, 6257, 28584, 6249, 1009, 3483, 88, 13235, 1054, 1764, 6656, 20, 1482, 7127, 1006, 4087, 1049, 1465, 8645, 1155, 5165, 1079, 1026, 1908, 1511, 1006, 14543, 9923, 1094, 2700, 1009, 2349, 1241, 6834, 5672, 1312, 1118, 2317, 1161, 1009, 2453, 1009, 1456, 1025, 17654, 1048, 2829, 7107, 1312, 2309, 1465, 1554, 1482, 1664, 1132, 4278, 1187, 25666, 3987, 9269, 2277, 1006, 6068, 6990, 1005, 28874, 1009, 9732, 12223, 1132, 21875, 9686, 2232, 1241, 3789, 2585, 31753, 21913, 1005, 2894, 1412, 7120, 1294, 4726, 6875, 1048, 8097, 16233, 5263, 1794, 1554, 1144, 21175, 3271, 2793, 2425, 5330, 1766, 8332, 2261, 1412, 5832, 1114, 17224, 1048, 1716, 5233, 18718, 1357, 8363, 2494, 9137, 6323, 15, 1005, 1072, 8733, 17466, 1349, 1026, 17201, 1187, 23117, 1480, 1049, 15889, 22378, 1026, 15293, 1337, 1009, 1664 ]

[ 1009, 1058, 85, 16358, 2372, 85, 1072, 1490, 2299, 14, 9530, 85, 8837, 15, 1175, 1268, 18437, 1544, 2555, 9091, 30044, 1063, 3865, 1090, 1463, 1030, 9378, 11347, 2897, 1048, 1058, 29569, 1890, 1026, 5, 1074, 76, 1199, 4376, 1009, 1094, 1903, 71, 2225, 5330, 1482, 1094, 2921, 1903, 71, 1009, 28462, 4370, 1126, 3121, 1015, 4320, 17817, 3716, 1009, 1935, 6800, 1124, 8238, 1009, 1268, 76, 1199, 4376, 5846, 2625, 1005, 2136, 1046, 1054, 6970, 6288, 89, 1072, 1859, 1185, 1692, 1728, 14327, 6970, 6288, 1678, 1043, 2625, 26599, 27831, 1009, 3354, 1056, 1135, 1746, 83, 1961, 9189, 1046, 1030, 9378, 1048, 1693, 4480, 1006, 30242, 1060, 1903, 1377, 28983, 8866, 1903, 1016, 1048, 9977, 9136, 2173, 1016, 5771, 2447, 1009, 9136, 21994, 2986, 1693, 5924, 1746, 1441, 1016, 1114, 5, 10306, 9287, 1802, 2034, 1746, 1441, 1016, 3249, 3273, 1475, 1708, 1206, 1072, 18, 5846, 13263, 1054, 1445, 2401, 9406, 1030, 12387, 1312, 8826, 1048, 2203, 1040, 7077, 7010, 2340, 5680, 4456, 5706, 1006, 9122, 10972, 1271, 1746, 1441, 1728, 15460, 1693, 10505, 1006, 8837, 23345, 1549, 1009, 11774, 16452, 1206, 1006, 9061, 22043, 3455, 1009, 11774, 41, 1565, 6020, 6144, 15907, 8421, 1787, 1094, 1060, 2924, 32, 1124, 1746, 1441, 1016, 1048, 13876, 1054, 10892, 14922, 9977, 10474, 1026, 2002, 1066, 3121, 1006, 10450, 1236, 85, 2097, 1048, 12871, 1048, 19942, 1054, 14922, 1184, 15291, 2203, 7651, 14711, 1059, 85, 1746, 1441, 1016, 1006, 8837, 4109, 1009, 11774, 1062, 1175, 6167, 12164, 4875, 3003, 1009, 27380, 1005, 5443, 2582, 1175, 5789, 1009, 28761, 31522, 1175, 2080, 1685, 1345, 6830, 1076, 1009, 1058, 85, 1175, 4420, 1038, 2372, 85, 1072, 10239, 1140, 5, 85, 1746, 1441, 1016, 1006, 9061, 4331, 1009, 11774, 1062, 1175, 18292, 1187, 4109, 29719, 1175, 23779, 2283, 88, 86, 1194, 1049, 2225, 1188, 1996, 1049, 1128, 58, 1175, 17134, 1746, 83, 1221, 1175, 1445, 2401, 1009, 22474, 1033, 6852, 2555, 9091, 71, 1009, 1717, 85, 1114, 2080, 1685, 1009, 28462, 1009, 1094, 1903, 71, 1009, 11803, 2225, 1236, 1054, 11899, 1759, 1078, 91, 8866, 7042, 1043, 1132, 5942, 26320, 1797, 28848, 1016, 1271, 1746, 1441, 1016, 1006, 26040, 4109, 1009, 11774, 85, 41, 2856, 6167, 12164, 4875, 3003, 1009, 27380, 1005, 5443, 2582, 5789, 1009, 28761, 31522, 2080, 1685, 1345, 6830, 1076, 1009, 1058, 85, 16358, 2372, 85, 1072, 10239, 1140, 4611, 1093, 1016, 1271, 1746, 1441, 1016, 1006, 28535, 4331, 1009, 11774, 85, 41, 18292, 1187, 4109, 29719, 23779, 2283, 88, 86, 1194, 1049, 2225, 1188, 1996, 1049, 1128, 58, 17134, 1746, 83, 1221, 5, 2300, 2401, 1009, 22474, 1033, 6852, 1691, 28986, 15442, 4001, 32, 3735, 1006, 1903, 71, 11344, 3333, 1140, 15615, 1371, 2464, 1159, 1026, 7423, 16834, 8948, 1072, 1195, 5434, 1068, 30386, 2220, 1026, 2712, 1100, 1687, 1072, 1090, 4606, 11615, 1789, 1278, 6066, 8826, 4955, 1057, 1358, 1606, 1400, 2340, 1132, 4506, 1029, 15866, 1072, 1596, 6598, 1402, 3021, 28986, 7515, 91, 4001, 1576, 22053, 11855, 32, 5443, 1131, 15073, 9741, 1069, 10298, 9852, 1184, 23716, 1054, 7620, 8500, 1373, 6463, 1688, 1070, 24499, 1049, 7423, 1006, 1178, 6598, 2647, 10121, 30054, 10825, 1493, 2480, 1478, 1206, 3010, 17643, 33, 5789, 1009, 28761, 6167, 1759, 1078, 91, 8866, 7042, 1072, 13550, 1049, 5443, 6800, 1413, 1087, 1024, 2743, 1009, 10121, 1005, 5789, 1009, 28761, 1576, 7690, 13373, 3507, 1064, 1458, 2225, 1188, 1797, 28848, 1016, 1373, 6463, 8857, 1049, 7423, 1060, 8756, 1149, 30054, 85, 10121, 1009, 28761, 1175, 1128, 6167, 10121, 1493, 2480, 1478, 19003, 8857, 1187, 10121, 3141, 1375, 22600, 14504, 3735, 1124, 5200, 1024, 19328, 5846, 13263, 5687, 1044, 1187, 1691, 1078, 2582, 3191, 1051, 1166, 20881, 6818, 31522, 1205, 5922, 1018, 19598, 1312, 29224, 15442, 4001, 13291, 1435, 5443, 1131, 3682, 1135, 31522, 1009, 28761, 8682, 1175, 1138, 11076, 23651, 42, 8638, 3900, 24, 1175, 7463, 18416, 11136, 7554, 2321, 6125, 14212, 2870, 30799, 9283, 2428, 2818, 23651, 42, 8638, 3900, 25, 1175, 1063, 1138, 8597, 2606, 53, 2818, 1142, 13086, 8820, 2164, 16282, 30799, 21270, 2818, 23651, 42, 8638, 37, 7463, 18416, 11018, 1134, 2545, 2164, 16162, 3710, 30799, 21270, 6793, 22523, 3175, 19604, 5394, 3710, 16106, 13096, 3900, 26, 1175, 1138, 11076, 23651, 42, 8638, 12239, 1163, 4071, 60, 11756, 1084, 1067, 10279, 1175, 7554, 21270, 37, 1487, 7463, 18416, 11136, 1128, 7309, 2428, 2818, 1082, 4562, 42, 2164, 11884, 10274, 30659, 37, 16162, 41, 3776, 17078, 1062, 13096, 16282, 2818, 50, 2164, 20, 1675, 1138, 11076, 1082, 9753, 4186, 53, 1084, 1082, 4562, 7338, 3900, 29, 1175, 1138, 11076, 11555, 28197, 2818, 4772, 2053, 5250, 53, 37, 1799, 1138, 11076, 1063, 1067, 13096, 5462, 1082, 9753, 4186, 53, 37, 10473, 11076, 15500, 18797, 3900, 31, 1175, 12239, 20964, 9036, 1228, 58, 4414, 9703, 39, 1082, 9753, 4186, 2428, 1082, 4436, 50, 30168, 3900, 1839, 1175, 1138, 11076, 15275, 7521, 53, 2818, 25705, 10717, 3900, 2830, 1175, 16162, 41, 3776, 17078, 16282, 30799, 21270, 2818, 1082, 4562, 42, 28041, 6860, 1063, 3776, 3726, 25206, 7338, 32, 24739, 25965, 29773, 33, 23914, 28961, 2805, 9703, 13096, 4139, 3776, 54, 20127, 53, 22819, 23428, 5250, 53, 22819, 6860, 9554, 21270, 15, 2224, 1138, 11076, 1067, 26865, 1175, 1082, 4436, 2982, 37, 2523, 1138, 11076, 21957, 4071, 53, 37, 7463, 18416, 11136, 1128, 7309, 2428, 11884, 10274, 30659, 37, 1, 13370, 3691, 1009, 7846, 19300, 1629, 15237, 1106, 9804, 1103, 79, 1072, 9993, 1009, 3540, 1467, 2323, 3987, 1991, 5823, 6127, 1311, 1248, 7870, 1230, 5687, 1072, 3810, 1531, 2523, 1009, 12673, 1043, 1006, 4455, 1271, 5908, 17183, 1265, 1105, 4992, 1005, 7595, 12536, 1160, 6179, 1748, 13796, 1071, 2581, 45, 6024, 9230, 1213, 1622, 15424, 1138, 3435, 3960, 5317, 1479, 1006, 2323, 1060, 5576, 1060, 6610, 8346, 1525, 1187, 1138, 20917, 2386, 1048, 5632, 7002, 8042, 1679, 25116, 1727, 1005, 13164, 1060, 2638, 3787, 1158, 2721, 1479, 1195, 28427, 1006, 20001, 1187, 1138, 20917, 1463, 5629, 8317, 14459, 5048, 1, 10810, 1128, 1265, 3256, 79, 9832, 1074, 32, 1119, 11326, 135, 41, 4414, 2818, 41, 2870, 3402, 1940, 11325, 4601, 1049, 5357, 3735, 1006, 4361, 1060, 3349, 10012, 3022, 24465, 4876, 9766, 1026, 12551, 4475, 25516, 3229, 1060, 5096, 20, 23916, 5543, 22817, 4096, 1526, 1005, 1455, 17907, 5833, 13233, 1114, 7975, 1009, 3709, 20, 20203, 1079, 5626, 1009, 4384, 1543, 3060, 1009, 2696, 2586, 14341, 1009, 17389, 1005, 14983, 2239, 8508, 2430, 1182, 1079, 1072, 2661, 14901, 1063, 3897, 4749, 1153, 1006, 7449, 1026, 2803, 26922, 1714, 1068, 6999, 14325, 3673, 1095, 1034, 1026, 7333, 1009, 8685, 1357, 5994, 1472, 1114, 15235, 1084, 10543, 1160, 2909, 1006, 2046, 11930, 1063, 12159, 1054, 1169, 1029, 5489, 1006, 30997, 9441, 11211, 2166, 1006, 2635, 1889, 4481, 2528, 1160, 1808, 2241, 4759, 7823, 1119, 1958, 1350, 14296, 1054, 1702, 15682, 1776, 28061, 16859, 1005, 1082, 6720, 7474, 1648, 18959, 8473, 24465, 4876, 3260, 2923, 1429, 3342, 3240, 20125, 1079, 16520, 1005, 7514, 7275, 3899, 1006, 4361, 20, 12072, 12538, 1124, 20619, 1009, 1050, 3493, 1026, 3372, 6789, 17523, 2494, 5309, 26047, 1792, 1026, 9381, 2411, 15164, 1069, 1072, 2661, 3893, 1043, 1094, 1080, 11235, 1048, 1026, 1821, 1034, 1006, 1094, 1315, 1231, 1009, 1050, 2214, 1177, 1072, 11241, 29261, 3316, 675, 8216, 1034, 1114, 11719, 1049, 22646, 27902, 1006, 2521, 18541, 1026, 4474, 6302, 6827, 6618, 1114, 13976, 1006, 3922, 1060, 6057, 3567, 6126, 1791, 1646, 1026, 8270, 2208, 7911, 1006, 14143, 1118, 2156, 1009, 15718, 9596, 13887, 1143, 4667, 1126, 16126, 1009, 16899, 1072, 2738, 1049, 6276, 1786, 17091, 6598, 5330, 2605, 1006, 1834, 1132, 18348, 1034, 5304, 2034, 20619, 26570, 21341, 1132, 21823, 1009, 6730, 1026, 5822, 10125, 1060, 17389, 1005, 1118, 2822, 1026, 5620, 7065, 1049, 14740, 2361, 20, 8602, 4375, 1048, 1058, 18348, 1034, 31528, 2791, 1393, 1006, 14726, 1060, 1098, 1241, 1095, 1272, 1114, 1033, 1092, 2563, 1060, 3897, 20, 6836, 1009, 2239, 1509, 1140, 1463, 16641, 1009, 5410, 1005, 1054, 12100, 1009, 10465, 2598, 1026, 1169, 3365, 1350, 20, 13803, 1589, 1048, 1030, 11206, 21111, 1124, 7018, 14325, 1138, 2383, 1136, 1215, 1320, 1079, 1213, 5872, 1026, 2535, 3445, 3461, 1043, 1094, 14742, 1009, 10864, 16422, 91, 5114, 1213, 4373, 1870, 1808, 1052, 11506, 1044, 11340, 2509, 23172, 1009, 1067, 21043, 1424, 1124, 4373, 1171, 2032, 24465, 4876, 1836, 1495, 17822, 2166, 1309, 1211, 1346, 1516, 15442, 1520, 8342, 12026, 7913, 1072, 14489, 1261, 4842, 11362, 1062, 2139, 1531, 24817, 5193, 1006, 1044, 2666, 1049, 12938, 1114, 2573, 1049, 28988, 1075, 24524, 14742, 1009, 2011, 1049, 1449, 4457, 16677, 2204, 1052, 23916, 1005, 1094, 3897, 10045, 1157, 2022, 7701, 1011, 1822, 4205, 1018, 1005, 23719, 1213, 5768, 1049, 3037, 4457, 18245, 4373, 1648, 1005, 3700, 1917, 2241, 1006, 2220, 1700, 8635, 24465, 4876, 13029, 1006, 20059, 1060, 2573, 1005, 19441, 156, 3628, 2711, 2923, 1322, 7881, 3897, 20, 14076, 1006, 1067, 11038, 7668, 1049, 28988, 1075, 2873, 1005, 6471, 1114, 2451, 1072, 4898, 1009, 7168, 20661, 1424, 1006, 4497, 2468, 2166, 29619, 1026, 7483, 1060, 5096, 1068, 1132, 5089, 1005, 4454, 1026, 2269, 1049, 9381, 5437, 4475, 1955, 4205, 1079, 1233, 28005, 1048, 1026, 19142, 1318, 1026, 14731, 2275, 19547, 1497, 20695, 20, 3126, 1233, 2236, 1009, 15929, 11435, 4447, 6800, 10413, 25429, 1005, 19541, 1005, 7717, 1006, 9756, 1049, 11241, 29261, 1776, 2661, 3893, 23916, 1484, 1099, 1393, 1277, 4205, 6633, 1134, 5101, 1461, 1213, 6730, 2340, 24465, 4876, 1160, 1026, 7266, 1461, 1159, 1271, 2089, 18973, 1776, 2191, 1060, 16451, 13029, 1026, 7658, 1009, 31118, 1068, 13354, 1026, 9999, 1303, 1187, 11409, 1060, 3959, 7863, 1570, 2865, 1094, 6115, 1213, 20133, 2126, 7407, 2614, 8686, 1043, 1173, 13232, 1009, 25608, 1049, 2011, 1068, 8086, 1006, 1030, 1958, 1032, 1377, 2034, 1427, 12223, 1592, 12875, 1049, 3372, 21437, 2954, 22934, 1005, 1060, 7621, 1060, 20650, 1160, 9838, 1648, 1006, 3959, 7863, 14485, 1006, 10902, 1009, 23916, 7404, 162, 5792, 1049, 4367, 1009, 2926, 2521, 24465, 4876, 10446, 8607, 1603, 2018, 28514, 1054, 2191, 1006, 1044, 28775, 1201, 8049, 1599, 17778, 1009, 14644, 20, 24465, 4876, 5543, 1054, 10423, 21537, 3320, 2656, 1048, 1786, 7765, 3971, 1049, 20628, 1309, 2691, 2736, 15563, 1271, 1427, 30522, 3292, 1619, 1153, 1048, 1834, 1009, 3897, 2054, 1016, 1140, 1516, 8734, 1009, 8113, 1005, 1006, 6685, 4311, 1140, 2364, 1006, 13801, 1097, 7052, 7669, 20059, 1009, 1235, 17123, 18, 1309, 14417, 9270, 1580, 1213, 2729, 1060, 5297, 1006, 14488, 2241, 20, 1766, 4090, 13728, 8340, 4147, 1728, 17788, 1268, 1560, 1140, 1005, 3372, 26464, 1596, 1132, 3145, 11304, 96, 2223, 15278, 1041, 2241, 1048, 1118, 8976, 1048, 2374, 1044, 20663, 1976, 1178, 11517, 1159, 1429, 7104, 1495, 1026, 2822, 1060, 8150, 4116, 1663, 21700, 16340, 5376, 1596, 28235, 14858, 2656, 4564, 1357, 7621, 1009, 4384, 24366, 1309, 2246, 3552, 1271, 1564, 1016, 1213, 5118, 23523, 2208, 2865, 2022, 7701, 1043, 25899, 20, 2200, 20121, 1393, 1026, 1592, 5118, 1939, 1068, 23300, 10016, 24579, 5048, 5714, 1412, 1044, 14549, 2170, 1233, 1710, 16104, 1596, 1213, 12751, 12481, 1571, 6011, 6390, 1009, 1030, 1227, 1154, 1005, 11408, 20489, 1063, 1752, 26488, 29376, 1357, 4087, 1009, 16067, 15021, 4910, 2241, 1124, 2420, 1396, 1728, 24465, 4876, 7085, 1393, 6390, 2353, 5345, 23916, 1195, 1026, 1831, 20294, 3552, 4180, 1009, 6467, 1887, 1068, 1026, 1784, 7926, 20, 12710, 8548, 1006, 21700, 12572, 1411, 1786, 17091, 4458, 1068, 11542, 3398, 1172, 4142, 16046, 20, 1138, 3124, 1009, 1026, 13512, 1178, 1384, 1599, 1160, 1006, 20079, 7052, 1063, 2869, 14704, 4234, 3952, 1005, 1006, 3897, 7514, 7389, 1087, 1236, 1005, 5450, 20, 1424, 25731, 31103, 1312, 1005, 8522, 1006, 3606, 4785, 4650, 2323, 1034, 1006, 2900, 1009, 4327, 1048, 4303, 1993, 1006, 1834, 1043, 1006, 2360, 24465, 4876, 20, 7141, 1079, 1006, 4966, 1048, 1026, 4995, 1160, 1298, 1178, 20375, 1005, 1026, 4409, 8294, 1049, 13630, 14935, 1992, 6313, 1034, 1026, 19964, 1305, 14448, 1005, 13351, 31020, 26006, 1054, 6912, 1024, 16159, 6772, 17654, 4458, 1187, 3010, 1018, 1049, 5746, 1032, 1337, 1005, 1060, 14726, 1, 2013, 1043, 1989, 2468, 1009, 18448, 4140, 2072, 3437, 6567, 1049, 4954, 1034, 1009, 14567, 1009, 24578, 8, 5571, 4906, 1048, 1006, 5621, 1089, 13176, 2325, 2920, 8912, 1026, 3366, 5560, 8690, 1006, 6664, 27826, 3960, 7313, 2200, 1058, 1770, 1945, 6664, 27826, 2735, 1056, 5840, 77, 1070, 1253, 4053, 4334, 1034, 1009, 14567, 1009, 24578, 6664, 1053, 3529, 1058, 1598, 1010, 31719, 15, 1005, 3532, 5694, 1026, 6664, 27826, 20394, 2140, 1134, 1400, 1048, 22497, 1199, 2271, 4210, 4908, 1531, 1083 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1058, 85, 16358, 2372, 85, 1072, 1490, 2299, 14, 9530, 85, 8837, 15, 1175, 1268, 18437, 1544, 2555, 9091, 30044, 1063, 3865, 1090, 1463, 1030, 9378, 11347, 2897, 1048, 1058, 29569, 1890, 1026, 5, 1074, 76, 1199, 4376, 1009, 1094, 1903, 71, 2225, 5330, 1482, 1094, 2921, 1903, 71, 1009, 28462, 4370, 1126, 3121, 1015, 4320, 17817, 3716, 1009, 1935, 6800, 1124, 8238, 1009, 1268, 76, 1199, 4376, 5846, 2625, 1005, 2136, 1046, 1054, 6970, 6288, 89, 1072, 1859, 1185, 1692, 1728, 14327, 6970, 6288, 1678, 1043, 2625, 26599, 27831, 1009, 3354, 1056, 1135, 1746, 83, 1961, 9189, 1046, 1030, 9378, 1048, 1693, 4480, 1006, 30242, 1060, 1903, 1377, 28983, 8866, 1903, 1016, 1048, 9977, 9136, 2173, 1016, 5771, 2447, 1009, 9136, 21994, 2986, 1693, 5924, 1746, 1441, 1016, 1114, 5, 10306, 9287, 1802, 2034, 1746, 1441, 1016, 3249, 3273, 1475, 1708, 1206, 1072, 18, 5846, 13263, 1054, 1445, 2401, 9406, 1030, 12387, 1312, 8826, 1048, 2203, 1040, 7077, 7010, 2340, 5680, 4456, 5706, 1006, 9122, 10972, 1271, 1746, 1441, 1728, 15460, 1693, 10505, 1006, 8837, 23345, 1549, 1009, 11774, 16452, 1206, 1006, 9061, 22043, 3455, 1009, 11774, 41, 1565, 6020, 6144, 15907, 8421, 1787, 1094, 1060, 2924, 32, 1124, 1746, 1441, 1016, 1048, 13876, 1054, 10892, 14922, 9977, 10474, 1026, 2002, 1066, 3121, 1006, 10450, 1236, 85, 2097, 1048, 12871, 1048, 19942, 1054, 14922, 1184, 15291, 2203, 7651, 14711, 1059, 85, 1746, 1441, 1016, 1006, 8837, 4109, 1009, 11774, 1062, 1175, 6167, 12164, 4875, 3003, 1009, 27380, 1005, 5443, 2582, 1175, 5789, 1009, 28761, 31522, 1175, 2080, 1685, 1345, 6830, 1076, 1009, 1058, 85, 1175, 4420, 1038, 2372, 85, 1072, 10239, 1140, 5, 85, 1746, 1441, 1016, 1006, 9061, 4331, 1009, 11774, 1062, 1175, 18292, 1187, 4109, 29719, 1175, 23779, 2283, 88, 86, 1194, 1049, 2225, 1188, 1996, 1049, 1128, 58, 1175, 17134, 1746, 83, 1221, 1175, 1445, 2401, 1009, 22474, 1033, 6852, 2555, 9091, 71, 1009, 1717, 85, 1114, 2080, 1685, 1009, 28462, 1009, 1094, 1903, 71, 1009, 11803, 2225, 1236, 1054, 11899, 1759, 1078, 91, 8866, 7042, 1043, 1132, 5942, 26320, 1797, 28848, 1016, 1271, 1746, 1441, 1016, 1006, 26040, 4109, 1009, 11774, 85, 41, 2856, 6167, 12164, 4875, 3003, 1009, 27380, 1005, 5443, 2582, 5789, 1009, 28761, 31522, 2080, 1685, 1345, 6830, 1076, 1009, 1058, 85, 16358, 2372, 85, 1072, 10239, 1140, 4611, 1093, 1016, 1271, 1746, 1441, 1016, 1006, 28535, 4331, 1009, 11774, 85, 41, 18292, 1187, 4109, 29719, 23779, 2283, 88, 86, 1194, 1049, 2225, 1188, 1996, 1049, 1128, 58, 17134, 1746, 83, 1221, 5, 2300, 2401, 1009, 22474, 1033, 6852, 1691, 28986, 15442, 4001, 32, 3735, 1006, 1903, 71, 11344, 3333, 1140, 15615, 1371, 2464, 1159, 1026, 7423, 16834, 8948, 1072, 1195, 5434, 1068, 30386, 2220, 1026, 2712, 1100, 1687, 1072, 1090, 4606, 11615, 1789, 1278, 6066, 8826, 4955, 1057, 1358, 1606, 1400, 2340, 1132, 4506, 1029, 15866, 1072, 1596, 6598, 1402, 3021, 28986, 7515, 91, 4001, 1576, 22053, 11855, 32, 5443, 1131, 15073, 9741, 1069, 10298, 9852, 1184, 23716, 1054, 7620, 8500, 1373, 6463, 1688, 1070, 24499, 1049, 7423, 1006, 1178, 6598, 2647, 10121, 30054, 10825, 1493, 2480, 1478, 1206, 3010, 17643, 33, 5789, 1009, 28761, 6167, 1759, 1078, 91, 8866, 7042, 1072, 13550, 1049, 5443, 6800, 1413, 1087, 1024, 2743, 1009, 10121, 1005, 5789, 1009, 28761, 1576, 7690, 13373, 3507, 1064, 1458, 2225, 1188, 1797, 28848, 1016, 1373, 6463, 8857, 1049, 7423, 1060, 8756, 1149, 30054, 85, 10121, 1009, 28761, 1175, 1128, 6167, 10121, 1493, 2480, 1478, 19003, 8857, 1187, 10121, 3141, 1375, 22600, 14504, 3735, 1124, 5200, 1024, 19328, 5846, 13263, 5687, 1044, 1187, 1691, 1078, 2582, 3191, 1051, 1166, 20881, 6818, 31522, 1205, 5922, 1018, 19598, 1312, 29224, 15442, 4001, 13291, 1435, 5443, 1131, 3682, 1135, 31522, 1009, 28761, 8682, 1175, 1138, 11076, 23651, 42, 8638, 3900, 24, 1175, 7463, 18416, 11136, 7554, 2321, 6125, 14212, 2870, 30799, 9283, 2428, 2818, 23651, 42, 8638, 3900, 25, 1175, 1063, 1138, 8597, 2606, 53, 2818, 1142, 13086, 8820, 2164, 16282, 30799, 21270, 2818, 23651, 42, 8638, 37, 7463, 18416, 11018, 1134, 2545, 2164, 16162, 3710, 30799, 21270, 6793, 22523, 3175, 19604, 5394, 3710, 16106, 13096, 3900, 26, 1175, 1138, 11076, 23651, 42, 8638, 12239, 1163, 4071, 60, 11756, 1084, 1067, 10279, 1175, 7554, 21270, 37, 1487, 7463, 18416, 11136, 1128, 7309, 2428, 2818, 1082, 4562, 42, 2164, 11884, 10274, 30659, 37, 16162, 41, 3776, 17078, 1062, 13096, 16282, 2818, 50, 2164, 20, 1675, 1138, 11076, 1082, 9753, 4186, 53, 1084, 1082, 4562, 7338, 3900, 29, 1175, 1138, 11076, 11555, 28197, 2818, 4772, 2053, 5250, 53, 37, 1799, 1138, 11076, 1063, 1067, 13096, 5462, 1082, 9753, 4186, 53, 37, 10473, 11076, 15500, 18797, 3900, 31, 1175, 12239, 20964, 9036, 1228, 58, 4414, 9703, 39, 1082, 9753, 4186, 2428, 1082, 4436, 50, 30168, 3900, 1839, 1175, 1138, 11076, 15275, 7521, 53, 2818, 25705, 10717, 3900, 2830, 1175, 16162, 41, 3776, 17078, 16282, 30799, 21270, 2818, 1082, 4562, 42, 28041, 6860, 1063, 3776, 3726, 25206, 7338, 32, 24739, 25965, 29773, 33, 23914, 28961, 2805, 9703, 13096, 4139, 3776, 54, 20127, 53, 22819, 23428, 5250, 53, 22819, 6860, 9554, 21270, 15, 2224, 1138, 11076, 1067, 26865, 1175, 1082, 4436, 2982, 37, 2523, 1138, 11076, 21957, 4071, 53, 37, 7463, 18416, 11136, 1128, 7309, 2428, 11884, 10274, 30659, 37, 1, 13370, 3691, 1009, 7846, 19300, 1629, 15237, 1106, 9804, 1103, 79, 1072, 9993, 1009, 3540, 1467, 2323, 3987, 1991, 5823, 6127, 1311, 1248, 7870, 1230, 5687, 1072, 3810, 1531, 2523, 1009, 12673, 1043, 1006, 4455, 1271, 5908, 17183, 1265, 1105, 4992, 1005, 7595, 12536, 1160, 6179, 1748, 13796, 1071, 2581, 45, 6024, 9230, 1213, 1622, 15424, 1138, 3435, 3960, 5317, 1479, 1006, 2323, 1060, 5576, 1060, 6610, 8346, 1525, 1187, 1138, 20917, 2386, 1048, 5632, 7002, 8042, 1679, 25116, 1727, 1005, 13164, 1060, 2638, 3787, 1158, 2721, 1479, 1195, 28427, 1006, 20001, 1187, 1138, 20917, 1463, 5629, 8317, 14459, 5048, 1, 10810, 1128, 1265, 3256, 79, 9832, 1074, 32, 1119, 11326, 135, 41, 4414, 2818, 41, 2870, 3402, 1940, 11325, 4601, 1049, 5357, 3735, 1006, 4361, 1060, 3349, 10012, 3022, 24465, 4876, 9766, 1026, 12551, 4475, 25516, 3229, 1060, 5096, 20, 23916, 5543, 22817, 4096, 1526, 1005, 1455, 17907, 5833, 13233, 1114, 7975, 1009, 3709, 20, 20203, 1079, 5626, 1009, 4384, 1543, 3060, 1009, 2696, 2586, 14341, 1009, 17389, 1005, 14983, 2239, 8508, 2430, 1182, 1079, 1072, 2661, 14901, 1063, 3897, 4749, 1153, 1006, 7449, 1026, 2803, 26922, 1714, 1068, 6999, 14325, 3673, 1095, 1034, 1026, 7333, 1009, 8685, 1357, 5994, 1472, 1114, 15235, 1084, 10543, 1160, 2909, 1006, 2046, 11930, 1063, 12159, 1054, 1169, 1029, 5489, 1006, 30997, 9441, 11211, 2166, 1006, 2635, 1889, 4481, 2528, 1160, 1808, 2241, 4759, 7823, 1119, 1958, 1350, 14296, 1054, 1702, 15682, 1776, 28061, 16859, 1005, 1082, 6720, 7474, 1648, 18959, 8473, 24465, 4876, 3260, 2923, 1429, 3342, 3240, 20125, 1079, 16520, 1005, 7514, 7275, 3899, 1006, 4361, 20, 12072, 12538, 1124, 20619, 1009, 1050, 3493, 1026, 3372, 6789, 17523, 2494, 5309, 26047, 1792, 1026, 9381, 2411, 15164, 1069, 1072, 2661, 3893, 1043, 1094, 1080, 11235, 1048, 1026, 1821, 1034, 1006, 1094, 1315, 1231, 1009, 1050, 2214, 1177, 1072, 11241, 29261, 3316, 675, 8216, 1034, 1114, 11719, 1049, 22646, 27902, 1006, 2521, 18541, 1026, 4474, 6302, 6827, 6618, 1114, 13976, 1006, 3922, 1060, 6057, 3567, 6126, 1791, 1646, 1026, 8270, 2208, 7911, 1006, 14143, 1118, 2156, 1009, 15718, 9596, 13887, 1143, 4667, 1126, 16126, 1009, 16899, 1072, 2738, 1049, 6276, 1786, 17091, 6598, 5330, 2605, 1006, 1834, 1132, 18348, 1034, 5304, 2034, 20619, 26570, 21341, 1132, 21823, 1009, 6730, 1026, 5822, 10125, 1060, 17389, 1005, 1118, 2822, 1026, 5620, 7065, 1049, 14740, 2361, 20, 8602, 4375, 1048, 1058, 18348, 1034, 31528, 2791, 1393, 1006, 14726, 1060, 1098, 1241, 1095, 1272, 1114, 1033, 1092, 2563, 1060, 3897, 20, 6836, 1009, 2239, 1509, 1140, 1463, 16641, 1009, 5410, 1005, 1054, 12100, 1009, 10465, 2598, 1026, 1169, 3365, 1350, 20, 13803, 1589, 1048, 1030, 11206, 21111, 1124, 7018, 14325, 1138, 2383, 1136, 1215, 1320, 1079, 1213, 5872, 1026, 2535, 3445, 3461, 1043, 1094, 14742, 1009, 10864, 16422, 91, 5114, 1213, 4373, 1870, 1808, 1052, 11506, 1044, 11340, 2509, 23172, 1009, 1067, 21043, 1424, 1124, 4373, 1171, 2032, 24465, 4876, 1836, 1495, 17822, 2166, 1309, 1211, 1346, 1516, 15442, 1520, 8342, 12026, 7913, 1072, 14489, 1261, 4842, 11362, 1062, 2139, 1531, 24817, 5193, 1006, 1044, 2666, 1049, 12938, 1114, 2573, 1049, 28988, 1075, 24524, 14742, 1009, 2011, 1049, 1449, 4457, 16677, 2204, 1052, 23916, 1005, 1094, 3897, 10045, 1157, 2022, 7701, 1011, 1822, 4205, 1018, 1005, 23719, 1213, 5768, 1049, 3037, 4457, 18245, 4373, 1648, 1005, 3700, 1917, 2241, 1006, 2220, 1700, 8635, 24465, 4876, 13029, 1006, 20059, 1060, 2573, 1005, 19441, 156, 3628, 2711, 2923, 1322, 7881, 3897, 20, 14076, 1006, 1067, 11038, 7668, 1049, 28988, 1075, 2873, 1005, 6471, 1114, 2451, 1072, 4898, 1009, 7168, 20661, 1424, 1006, 4497, 2468, 2166, 29619, 1026, 7483, 1060, 5096, 1068, 1132, 5089, 1005, 4454, 1026, 2269, 1049, 9381, 5437, 4475, 1955, 4205, 1079, 1233, 28005, 1048, 1026, 19142, 1318, 1026, 14731, 2275, 19547, 1497, 20695, 20, 3126, 1233, 2236, 1009, 15929, 11435, 4447, 6800, 10413, 25429, 1005, 19541, 1005, 7717, 1006, 9756, 1049, 11241, 29261, 1776, 2661, 3893, 23916, 1484, 1099, 1393, 1277, 4205, 6633, 1134, 5101, 1461, 1213, 6730, 2340, 24465, 4876, 1160, 1026, 7266, 1461, 1159, 1271, 2089, 18973, 1776, 2191, 1060, 16451, 13029, 1026, 7658, 1009, 31118, 1068, 13354, 1026, 9999, 1303, 1187, 11409, 1060, 3959, 7863, 1570, 2865, 1094, 6115, 1213, 20133, 2126, 7407, 2614, 8686, 1043, 1173, 13232, 1009, 25608, 1049, 2011, 1068, 8086, 1006, 1030, 1958, 1032, 1377, 2034, 1427, 12223, 1592, 12875, 1049, 3372, 21437, 2954, 22934, 1005, 1060, 7621, 1060, 20650, 1160, 9838, 1648, 1006, 3959, 7863, 14485, 1006, 10902, 1009, 23916, 7404, 162, 5792, 1049, 4367, 1009, 2926, 2521, 24465, 4876, 10446, 8607, 1603, 2018, 28514, 1054, 2191, 1006, 1044, 28775, 1201, 8049, 1599, 17778, 1009, 14644, 20, 24465, 4876, 5543, 1054, 10423, 21537, 3320, 2656, 1048, 1786, 7765, 3971, 1049, 20628, 1309, 2691, 2736, 15563, 1271, 1427, 30522, 3292, 1619, 1153, 1048, 1834, 1009, 3897, 2054, 1016, 1140, 1516, 8734, 1009, 8113, 1005, 1006, 6685, 4311, 1140, 2364, 1006, 13801, 1097, 7052, 7669, 20059, 1009, 1235, 17123, 18, 1309, 14417, 9270, 1580, 1213, 2729, 1060, 5297, 1006, 14488, 2241, 20, 1766, 4090, 13728, 8340, 4147, 1728, 17788, 1268, 1560, 1140, 1005, 3372, 26464, 1596, 1132, 3145, 11304, 96, 2223, 15278, 1041, 2241, 1048, 1118, 8976, 1048, 2374, 1044, 20663, 1976, 1178, 11517, 1159, 1429, 7104, 1495, 1026, 2822, 1060, 8150, 4116, 1663, 21700, 16340, 5376, 1596, 28235, 14858, 2656, 4564, 1357, 7621, 1009, 4384, 24366, 1309, 2246, 3552, 1271, 1564, 1016, 1213, 5118, 23523, 2208, 2865, 2022, 7701, 1043, 25899, 20, 2200, 20121, 1393, 1026, 1592, 5118, 1939, 1068, 23300, 10016, 24579, 5048, 5714, 1412, 1044, 14549, 2170, 1233, 1710, 16104, 1596, 1213, 12751, 12481, 1571, 6011, 6390, 1009, 1030, 1227, 1154, 1005, 11408, 20489, 1063, 1752, 26488, 29376, 1357, 4087, 1009, 16067, 15021, 4910, 2241, 1124, 2420, 1396, 1728, 24465, 4876, 7085, 1393, 6390, 2353, 5345, 23916, 1195, 1026, 1831, 20294, 3552, 4180, 1009, 6467, 1887, 1068, 1026, 1784, 7926, 20, 12710, 8548, 1006, 21700, 12572, 1411, 1786, 17091, 4458, 1068, 11542, 3398, 1172, 4142, 16046, 20, 1138, 3124, 1009, 1026, 13512, 1178, 1384, 1599, 1160, 1006, 20079, 7052, 1063, 2869, 14704, 4234, 3952, 1005, 1006, 3897, 7514, 7389, 1087, 1236, 1005, 5450, 20, 1424, 25731, 31103, 1312, 1005, 8522, 1006, 3606, 4785, 4650, 2323, 1034, 1006, 2900, 1009, 4327, 1048, 4303, 1993, 1006, 1834, 1043, 1006, 2360, 24465, 4876, 20, 7141, 1079, 1006, 4966, 1048, 1026, 4995, 1160, 1298, 1178, 20375, 1005, 1026, 4409, 8294, 1049, 13630, 14935, 1992, 6313, 1034, 1026, 19964, 1305, 14448, 1005, 13351, 31020, 26006, 1054, 6912, 1024, 16159, 6772, 17654, 4458, 1187, 3010, 1018, 1049, 5746, 1032, 1337, 1005, 1060, 14726, 1, 2013, 1043, 1989, 2468, 1009, 18448, 4140, 2072, 3437, 6567, 1049, 4954, 1034, 1009, 14567, 1009, 24578, 8, 5571, 4906, 1048, 1006, 5621, 1089, 13176, 2325, 2920, 8912, 1026, 3366, 5560, 8690, 1006, 6664, 27826, 3960, 7313, 2200, 1058, 1770, 1945, 6664, 27826, 2735, 1056, 5840, 77, 1070, 1253, 4053, 4334, 1034, 1009, 14567, 1009, 24578, 6664, 1053, 3529, 1058, 1598, 1010, 31719, 15, 1005, 3532, 5694, 1026, 6664, 27826, 20394, 2140, 1134, 1400, 1048, 22497, 1199, 2271, 4210, 4908, 1531, 1083 ]

[ 4952, 32, 6610, 1049, 7802, 2686, 12152, 1060, 8240, 1009, 1764, 4989, 9100, 3067, 2567, 1705, 8741, 0, 1009, 1422, 5861, 3075, 1916, 40, 88, 20700, 2577, 1394, 32, 1084, 6090, 1047, 1009, 21849, 1468, 1009, 14485, 28124, 1322, 1006, 4493, 1048, 6011, 1132, 22238, 26353, 1016, 1114, 4581, 1049, 1561, 9806, 1508, 13416, 1094, 1271, 1455, 7545, 1121, 1009, 21849, 1468, 14485, 28124, 1357, 6365, 1005, 7881, 1058, 4291, 8316, 1159, 1006, 1048, 1058, 2649, 1553, 1009, 1712, 4147, 3843, 14, 12664, 1021, 3015, 3029, 1322, 1026, 3066, 12796, 1370, 32, 21715, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 5235, 27, 1467, 5009, 32, 1144, 9696, 59, 19564, 2722, 10866, 1009, 15783, 2555, 6124, 32, 1119, 3083, 10273, 19088, 1123, 2581, 20713, 4273, 2713, 13411, 21698, 133, 57, 31007, 1898, 48, 1523, 71, 1009, 10250, 2183, 1049, 12091, 1202, 1024, 3883, 8560, 1009, 11609, 2689, 12851, 1005, 2387, 10737, 9100, 2454, 3211, 1705, 8221, 0, 1009, 1675, 7157, 3075, 1916, 7729, 1019, 1227, 1112, 24990, 20700, 2577, 1394, 1898, 50, 1021, 2091, 8887, 1665, 1175, 1842, 79, 56, 2902, 1126, 1318, 15476, 1159, 1123, 2902, 1126, 3492, 79, 56, 1081, 1665, 1206, 19920, 56, 2902, 1126, 1096, 1094, 1271, 11547, 14647, 2012, 1060, 5704, 1005, 1641, 1009, 13186, 20690, 1054, 15506, 20, 6472, 1751, 1049, 11223, 15196, 6145, 5705, 1081, 1665, 1271, 11547, 1080, 1120, 8668, 4115, 2916, 1009, 1675, 2704, 1910, 27406, 1054, 15506, 1005, 6653, 1910, 1114, 6442, 1049, 13759, 8144, 5141, 1573, 18909, 1048, 2237, 4397, 1096, 1094, 1871, 1206, 12317, 9950, 1060, 4397, 2311, 79, 58, 1617, 29284, 2494, 11754, 4159, 1006, 3660, 16597, 1048, 1566, 1195, 1006, 1184, 1558, 1140, 1114, 3861, 1049, 6402, 1325, 28815, 1357, 1244, 11764, 2027, 1049, 4894, 1005, 1049, 2311, 1056, 1882, 1377, 2034, 7129, 4290, 2643, 10635, 1006, 5593, 5567, 1068, 4379, 1006, 24299, 1272, 3019, 3373, 7104, 5700, 5291, 4397, 1009, 4843, 1005, 1009, 10864, 4378, 4397, 1318, 1096, 4485, 1159, 1064, 1330, 1053, 2309, 27406, 1009, 14152, 1094, 1472, 1048, 1132, 1456, 27406, 1058, 23278, 1233, 1224, 4397, 1159, 2311, 1061, 1330, 79, 20290, 1370, 32, 1422, 12687, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2475, 24, 1467, 5009, 32, 1144, 28862, 2581, 9671, 7626, 2555, 6124, 32, 14095, 59, 2053, 6766, 1062, 2428, 5250, 1072, 17491, 1005, 1072, 26815, 1138, 3913, 2405, 1060, 4744, 20, 1138, 8553, 1060, 26416, 20, 1138, 1030, 4580, 1009, 15558, 13827, 4952, 32, 2611, 1887, 9162, 28901, 9100, 6015, 1004, 20, 1705, 1479, 10396, 0, 1009, 3939, 12672, 3075, 1916, 5315, 20700, 2577, 1394, 32, 3619, 71, 1009, 13732, 1358, 1154, 7813, 22507, 6074, 3536, 20, 15963, 15582, 2346, 1081, 1654, 17974, 0, 1422, 20290, 1370, 32, 9930, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2475, 25, 4325, 1467, 5009, 32, 1144, 2713, 2581, 46, 2722, 7626, 1009, 2555, 6124, 32, 1138, 1207, 2393, 53, 43, 2818, 1062, 9671, 4326, 22580, 19502, 14280, 1009, 28839, 31007, 32, 11581, 2112, 1009, 3943, 11735, 1009, 3030, 1406, 16273, 4658, 3006, 1705, 8221, 0, 1009, 1422, 3663, 3075, 1916, 7729, 1019, 1227, 1112, 1499, 1780, 20, 1156, 14111, 1905, 1054, 4051, 14951, 2335, 1043, 20241, 4137, 26085, 3716, 20700, 2577, 1394, 32, 3072, 1007, 1043, 10193, 5517, 1009, 17903, 1074, 1009, 2591, 84, 3352, 1005, 7980, 1009, 1632, 1525, 8052, 73, 3478, 1048, 1829, 6045, 1006, 25175, 1009, 12534, 11377, 19502, 14280, 1009, 28839, 27610, 27, 3406, 12599, 1349, 5051, 1048, 4857, 1807, 12395, 1054, 3032, 1118, 1261, 7445, 3723, 1006, 5627, 1049, 10332, 1144, 1103, 14311, 1163, 1146, 20108, 78, 1685, 1054, 4006, 1053, 4541, 1072, 1901, 1009, 5614, 27, 20290, 1370, 32, 18669, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 6991, 26, 1467, 5009, 32, 1144, 2713, 3710, 18, 1796, 11119, 1009, 1683, 2699, 2555, 6124, 32, 24663, 15769, 1084, 11102, 8950, 31007, 13778, 74, 2834, 1230, 6377, 18, 9100, 3067, 2308, 1705, 8221, 0, 1009, 1307, 3612, 19, 14, 1839, 15, 3075, 1916, 1106, 2459, 5945, 1093, 1278, 7813, 1905, 1213, 2729, 1049, 3407, 1005, 1054, 4051, 14951, 2335, 20, 3619, 71, 1009, 13732, 1358, 1154, 1043, 3080, 1239, 1005, 28359, 26459, 10270, 1009, 3129, 2098, 56, 4326, 17552, 14095, 47, 4824, 1059, 2321, 60, 5356, 45, 2053, 20700, 2577, 1394, 28342, 6630, 3461, 3066, 1009, 1968, 2681, 1392, 1005, 25033, 1009, 13058, 9246, 1330, 1291, 1322, 1006, 4493, 1060, 1123, 3457, 17727, 1377, 2642, 6378, 8040, 1160, 1998, 14211, 1159, 1318, 18014, 1063, 2750, 1751, 1049, 3066, 1141, 18015, 1132, 7742, 12945, 1054, 14281, 1005, 15506, 11661, 12596, 1175, 1006, 12596, 1064, 6362, 1048, 1620, 3004, 1464, 4385, 23604, 1005, 5658, 1114, 3548, 3116, 14369, 8, 12796, 1370, 32, 13888, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 24977, 3949, 1467, 5009, 32, 1144, 16331, 2581, 18, 6656, 2555, 6124, 32, 1063, 1119, 2321, 27031, 3726, 16837, 1067, 124, 57, 11029, 21193, 31007, 10568, 19934, 5464, 1271, 2346, 2681, 4065, 9100, 2879, 2308, 1705, 8741, 0, 1009, 6275, 31, 3075, 1916, 1106, 2459, 10119, 7813, 1905, 1043, 2317, 3498, 1053, 19613, 28870, 1470, 1608, 1009, 19755, 1060, 8506, 1049, 3878, 2635, 3716, 1009, 16359, 7649, 1102, 33, 2317, 3498, 1053, 3951, 1009, 12038, 17628, 9185, 1005, 1044, 19140, 1009, 10256, 24055, 1009, 15783, 1005, 4341, 1367, 5820, 20700, 2577, 1394, 13778, 12526, 1424, 1040, 1280, 9176, 1049, 1422, 0, 2686, 12152, 1060, 8240, 1060, 7022, 1009, 6015, 15584, 1049, 2293, 1009, 3030, 3590, 71, 24333, 2804, 1258, 1637, 14768, 5445, 1067, 7588, 1960, 5783, 3718, 1573, 1005, 8178, 1013, 25593, 23837, 1072, 1561, 1094, 7472, 17330, 1009, 2254, 1121, 7813, 4846, 1063, 2042, 1060, 1224, 1834, 1096, 16748, 1009, 5000, 26346, 1005, 1162, 1292, 1034, 31200, 11185, 4052, 1236, 1118, 4031, 24360, 1009, 1114, 4650, 1329, 17894, 1196, 4581, 1005, 1057, 19280, 1055, 12767, 1049, 2930, 6377, 23481, 12796, 1370, 32, 1422, 12687, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 14558, 26, 1467, 5009, 32, 1144, 5703, 14257, 8964, 1063, 1267, 4706, 2555, 6124, 32, 1138, 4049, 4414, 7567, 3776, 21193, 18150, 8, 22819, 1138, 21896, 4503, 2982, 2870, 19484, 6793, 7463, 9355, 3402, 31007, 32, 25289, 2026, 2023, 1705, 19, 3218, 0, 1307, 5861, 3075, 1916, 5315, 3590, 1171, 1031, 8772, 1584, 168, 1397, 3039, 10491, 2577, 1394, 32, 12796, 1370, 32, 13932, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 26, 3531, 1467, 5009, 32, 23605, 4812, 19564, 2722, 6759, 2597, 2934, 1136, 1009, 2555, 6124, 32, 1138, 1142, 8182, 4186, 53, 2818, 1119, 8638, 24552, 5462, 12992, 30074, 21957, 4071, 11136, 21957, 2428, 2818, 25778, 39, 13827, 4952, 26032, 4904, 1009, 2778, 1273, 9100, 2454, 3211, 1705, 8221, 0, 1009, 29007, 19, 14, 4681, 86, 2211, 1916, 1106, 2459, 3619, 1016, 20751, 27897, 21579, 29209, 3723, 1357, 3892, 8772, 1049, 2566, 20700, 2577, 1394, 32, 6416, 1769, 1493, 7296, 1005, 26732, 1322, 1026, 4954, 79, 5691, 1049, 28618, 1069, 1073, 11812, 1406, 3733, 1009, 21330, 1009, 8052, 1164, 1048, 4836, 1094, 7799, 3221, 1713, 1213, 7395, 1876, 1060, 17296, 1315, 1077, 1006, 17529, 1006, 1991, 1346, 1060, 9827, 7253, 1026, 3445, 1213, 15608, 1100, 1006, 1026, 3679, 1187, 11622, 2106, 1006, 3971, 1009, 20292, 1005, 1006, 1169, 1108, 12811, 1463, 2266, 1213, 4026, 20290, 1370, 32, 18669, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 1083, 26300, 1467, 5009, 32, 23605, 4812, 19564, 2722, 3236, 1766, 1939, 2555, 6124, 32, 21957, 5264, 40, 14303, 4824, 12239, 13411, 21698, 29916, 10473, 1138, 6445, 46, 4055, 19897, 6764, 9128, 6089, 1144, 7146, 4071, 31007, 32, 17985, 1049, 21388, 9100, 3067, 1999, 1705, 8741, 0, 1009, 9787, 19, 14, 3430, 15, 86, 2211, 1916, 1106, 2459, 5945, 1093, 1278, 7813, 1905, 1043, 23, 8996, 1009, 14281, 1005, 2322, 5912, 9954, 1009, 5795, 1054, 4051, 14951, 2335, 20700, 2577, 1394, 32, 7029, 2021, 1526, 12905, 1060, 27475, 10426, 10597, 1072, 3878, 24799, 1236, 1072, 2293, 1009, 3030, 1072, 1531, 1083, 1009, 8108, 1009, 21395, 1048, 20982, 1006, 1095, 84, 3656, 1005, 1026, 4200, 30256, 1009, 14281, 20290, 1370, 32, 21140, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2475, 4994, 24, 1467, 5009, 32, 23605, 4812, 19564, 2722, 20097, 2555, 6124, 32, 18839, 56, 9761, 2818, 1067, 2581, 10717, 31007, 32, 31667, 2330, 1820, 1126, 9100, 3310, 1999, 1705, 8221, 0, 1009, 3186, 28, 3075, 1916, 1106, 2459, 1156, 14111, 1905, 1043, 18682, 1213, 2729, 1049, 29799, 1424, 1094, 4671, 8300, 1009, 8894, 20, 3619, 71, 1043, 30286, 1009, 1251, 6818, 20700, 2577, 1394, 32, 5311, 10193, 5517, 14768, 2656, 1058, 10659, 14531, 1145, 26741, 2533, 14102, 7672, 1124, 4166, 1096, 24782, 12257, 9158, 17227, 28482, 1058, 10659, 8555, 1006, 21958, 1005, 1006, 3118, 8196, 3368, 1006, 2542, 1078, 1391, 1005, 1006, 4458, 6165, 1219, 5783, 2246, 1664, 1225, 1006, 1224, 1039, 7551, 1751, 1072, 1048, 1325, 3330, 1054, 14281, 1533, 6280, 1048, 1323, 4715, 7084, 1479, 9966, 2127, 1049, 2373, 42, 1787, 1047, 1009, 6458, 4324, 23257, 1026, 6721, 1271, 2346, 1081, 1242, 4942, 6729, 1435, 19460, 1479, 1516, 1044, 5333, 1048, 3866, 1034, 1006, 26143, 1005, 1026, 1249, 1130, 1177, 1009, 8555, 1048, 1927, 18643, 1089, 1005, 1556, 1707, 21161, 1054, 1664, 1132, 1251, 2184, 1060, 2348, 1834, 5721, 1668, 11725, 1213, 1428, 9126, 1027, 1009, 2068, 2350, 1271, 10074, 1392, 1048, 1009, 14281, 3881, 10277, 5381, 1077, 1657, 2997, 14099, 1374, 30964, 1048, 1118, 15858, 10356, 1076, 20217, 79, 1322, 1026, 8679, 7792, 1020, 1348, 1187, 12945, 1118, 7881, 3028, 11997, 24224, 1034, 5836, 1202, 1024, 5949, 8233, 8, 12796, 1370, 32, 14545, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 1844, 4673, 25, 1467, 5009, 32, 23605, 4812, 19564, 2722, 18417, 1009, 2555, 6124, 32, 10710, 51, 2321, 10274, 4071, 4824, 1084, 27862, 26225, 9761, 14799, 30581, 6793, 27637, 130, 3642, 11040, 20964, 31007, 32, 2375, 77, 1828, 1411, 9100, 6015, 1004, 20, 1705, 1479, 10396, 0, 1009, 11560, 3075, 1916, 5315, 20700, 2577, 1394, 32, 23992, 1009, 1094, 12905, 5191, 1054, 3727, 1009, 8819, 1009, 22319, 1114, 8699, 1009, 20745, 1009, 26036, 3619, 71, 1043, 3080, 1689, 30286, 1009, 1251, 6818, 20290, 1370, 32, 11587, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 4110, 14392, 1467, 5009, 32, 23605, 4812, 19564, 2722, 18417, 1009, 2555, 6124, 32, 21920, 15500, 14705, 24290, 5462, 1228, 50, 12134, 3642, 2053, 31007, 32, 10129, 5464, 1049, 12091, 1202, 1930, 9100, 3067, 2308, 1705, 19, 3218, 0, 1009, 2971, 28, 3075, 1916, 5315, 20700, 2577, 1394, 32, 12796, 1370, 32, 13932, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2523, 4829, 24, 1467, 5009, 32, 11136, 2713, 47, 7185, 8964, 11794, 1076, 2555, 6124, 32, 1123, 4186, 3071, 2713, 8638, 1067, 26865, 11018, 1123, 11805, 31311, 5881, 4414, 25488, 2164, 2818, 15275, 2805, 45, 31007, 32, 6416, 2961, 1461, 1049, 7674, 1009, 8258, 9100, 7466, 3162, 1705, 8221, 0, 1009, 5251, 5537, 18836, 60, 2599, 3075, 1916, 7729, 1019, 1227, 1112, 11845, 1054, 4635, 5361, 24219, 5674, 1157, 1124, 30933, 1009, 13732, 1358, 21505, 1063, 30894, 1005, 1043, 31830, 3087, 1009, 8894, 1072, 5105, 3096, 1874, 20, 1082, 1047, 1362, 29940, 5136, 1680, 5674, 1069, 1005, 1493, 19044, 20700, 2577, 1394, 26032, 25858, 10677, 1060, 15415, 1994, 1040, 84, 8772, 1009, 11745, 1590, 24799, 1236, 1072, 5995, 1009, 14600, 71, 1054, 1782, 1009, 9195, 1009, 23064, 3301, 3026, 18, 1072, 1210, 2095, 1033, 9916, 1064, 1803, 1357, 1944, 5326, 1026, 2568, 1049, 14281, 1005, 9199, 4736, 1324, 1039, 1127, 6027, 8616, 1048, 23600, 9013, 1054, 1663, 1094, 31633, 25766, 4201, 1009, 10592, 3974, 1049, 15346, 1048, 1184, 27468, 1278, 1058, 2852, 2241, 1043, 1006, 11061, 1009, 11745, 1590, 1114, 1598, 1038, 12976, 1080, 6348, 1126, 1744, 1053, 1009, 1006, 7340, 1213, 9495, 1049, 7674, 1009, 3032, 1114, 4760, 3309, 1126, 1048, 1028, 13, 8933, 3012, 6119, 2808, 1094, 4633, 1009, 1319, 1843, 9042, 7048, 20, 19905, 71, 7403, 13494, 1026, 24587, 1047, 1048, 1050, 5279, 5470, 1371, 1005, 1048, 1195, 1448, 1092, 8170, 8901, 1054, 3302, 1279, 3027, 2281, 2364, 22986, 1305, 1026, 4863, 25268, 1303, 1206, 11678, 2489, 23481, 12796, 1370, 32, 15876, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 26, 3430, 1467, 5009, 32, 7915, 3776, 9020, 2722, 4243 ]

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

[ 4952, 32, 6610, 1049, 7802, 2686, 12152, 1060, 8240, 1009, 1764, 4989, 9100, 3067, 2567, 1705, 8741, 0, 1009, 1422, 5861, 3075, 1916, 40, 88, 20700, 2577, 1394, 32, 1084, 6090, 1047, 1009, 21849, 1468, 1009, 14485, 28124, 1322, 1006, 4493, 1048, 6011, 1132, 22238, 26353, 1016, 1114, 4581, 1049, 1561, 9806, 1508, 13416, 1094, 1271, 1455, 7545, 1121, 1009, 21849, 1468, 14485, 28124, 1357, 6365, 1005, 7881, 1058, 4291, 8316, 1159, 1006, 1048, 1058, 2649, 1553, 1009, 1712, 4147, 3843, 14, 12664, 1021, 3015, 3029, 1322, 1026, 3066, 12796, 1370, 32, 21715, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 5235, 27, 1467, 5009, 32, 1144, 9696, 59, 19564, 2722, 10866, 1009, 15783, 2555, 6124, 32, 1119, 3083, 10273, 19088, 1123, 2581, 20713, 4273, 2713, 13411, 21698, 133, 57, 31007, 1898, 48, 1523, 71, 1009, 10250, 2183, 1049, 12091, 1202, 1024, 3883, 8560, 1009, 11609, 2689, 12851, 1005, 2387, 10737, 9100, 2454, 3211, 1705, 8221, 0, 1009, 1675, 7157, 3075, 1916, 7729, 1019, 1227, 1112, 24990, 20700, 2577, 1394, 1898, 50, 1021, 2091, 8887, 1665, 1175, 1842, 79, 56, 2902, 1126, 1318, 15476, 1159, 1123, 2902, 1126, 3492, 79, 56, 1081, 1665, 1206, 19920, 56, 2902, 1126, 1096, 1094, 1271, 11547, 14647, 2012, 1060, 5704, 1005, 1641, 1009, 13186, 20690, 1054, 15506, 20, 6472, 1751, 1049, 11223, 15196, 6145, 5705, 1081, 1665, 1271, 11547, 1080, 1120, 8668, 4115, 2916, 1009, 1675, 2704, 1910, 27406, 1054, 15506, 1005, 6653, 1910, 1114, 6442, 1049, 13759, 8144, 5141, 1573, 18909, 1048, 2237, 4397, 1096, 1094, 1871, 1206, 12317, 9950, 1060, 4397, 2311, 79, 58, 1617, 29284, 2494, 11754, 4159, 1006, 3660, 16597, 1048, 1566, 1195, 1006, 1184, 1558, 1140, 1114, 3861, 1049, 6402, 1325, 28815, 1357, 1244, 11764, 2027, 1049, 4894, 1005, 1049, 2311, 1056, 1882, 1377, 2034, 7129, 4290, 2643, 10635, 1006, 5593, 5567, 1068, 4379, 1006, 24299, 1272, 3019, 3373, 7104, 5700, 5291, 4397, 1009, 4843, 1005, 1009, 10864, 4378, 4397, 1318, 1096, 4485, 1159, 1064, 1330, 1053, 2309, 27406, 1009, 14152, 1094, 1472, 1048, 1132, 1456, 27406, 1058, 23278, 1233, 1224, 4397, 1159, 2311, 1061, 1330, 79, 20290, 1370, 32, 1422, 12687, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2475, 24, 1467, 5009, 32, 1144, 28862, 2581, 9671, 7626, 2555, 6124, 32, 14095, 59, 2053, 6766, 1062, 2428, 5250, 1072, 17491, 1005, 1072, 26815, 1138, 3913, 2405, 1060, 4744, 20, 1138, 8553, 1060, 26416, 20, 1138, 1030, 4580, 1009, 15558, 13827, 4952, 32, 2611, 1887, 9162, 28901, 9100, 6015, 1004, 20, 1705, 1479, 10396, 0, 1009, 3939, 12672, 3075, 1916, 5315, 20700, 2577, 1394, 32, 3619, 71, 1009, 13732, 1358, 1154, 7813, 22507, 6074, 3536, 20, 15963, 15582, 2346, 1081, 1654, 17974, 0, 1422, 20290, 1370, 32, 9930, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2475, 25, 4325, 1467, 5009, 32, 1144, 2713, 2581, 46, 2722, 7626, 1009, 2555, 6124, 32, 1138, 1207, 2393, 53, 43, 2818, 1062, 9671, 4326, 22580, 19502, 14280, 1009, 28839, 31007, 32, 11581, 2112, 1009, 3943, 11735, 1009, 3030, 1406, 16273, 4658, 3006, 1705, 8221, 0, 1009, 1422, 3663, 3075, 1916, 7729, 1019, 1227, 1112, 1499, 1780, 20, 1156, 14111, 1905, 1054, 4051, 14951, 2335, 1043, 20241, 4137, 26085, 3716, 20700, 2577, 1394, 32, 3072, 1007, 1043, 10193, 5517, 1009, 17903, 1074, 1009, 2591, 84, 3352, 1005, 7980, 1009, 1632, 1525, 8052, 73, 3478, 1048, 1829, 6045, 1006, 25175, 1009, 12534, 11377, 19502, 14280, 1009, 28839, 27610, 27, 3406, 12599, 1349, 5051, 1048, 4857, 1807, 12395, 1054, 3032, 1118, 1261, 7445, 3723, 1006, 5627, 1049, 10332, 1144, 1103, 14311, 1163, 1146, 20108, 78, 1685, 1054, 4006, 1053, 4541, 1072, 1901, 1009, 5614, 27, 20290, 1370, 32, 18669, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 6991, 26, 1467, 5009, 32, 1144, 2713, 3710, 18, 1796, 11119, 1009, 1683, 2699, 2555, 6124, 32, 24663, 15769, 1084, 11102, 8950, 31007, 13778, 74, 2834, 1230, 6377, 18, 9100, 3067, 2308, 1705, 8221, 0, 1009, 1307, 3612, 19, 14, 1839, 15, 3075, 1916, 1106, 2459, 5945, 1093, 1278, 7813, 1905, 1213, 2729, 1049, 3407, 1005, 1054, 4051, 14951, 2335, 20, 3619, 71, 1009, 13732, 1358, 1154, 1043, 3080, 1239, 1005, 28359, 26459, 10270, 1009, 3129, 2098, 56, 4326, 17552, 14095, 47, 4824, 1059, 2321, 60, 5356, 45, 2053, 20700, 2577, 1394, 28342, 6630, 3461, 3066, 1009, 1968, 2681, 1392, 1005, 25033, 1009, 13058, 9246, 1330, 1291, 1322, 1006, 4493, 1060, 1123, 3457, 17727, 1377, 2642, 6378, 8040, 1160, 1998, 14211, 1159, 1318, 18014, 1063, 2750, 1751, 1049, 3066, 1141, 18015, 1132, 7742, 12945, 1054, 14281, 1005, 15506, 11661, 12596, 1175, 1006, 12596, 1064, 6362, 1048, 1620, 3004, 1464, 4385, 23604, 1005, 5658, 1114, 3548, 3116, 14369, 8, 12796, 1370, 32, 13888, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 24977, 3949, 1467, 5009, 32, 1144, 16331, 2581, 18, 6656, 2555, 6124, 32, 1063, 1119, 2321, 27031, 3726, 16837, 1067, 124, 57, 11029, 21193, 31007, 10568, 19934, 5464, 1271, 2346, 2681, 4065, 9100, 2879, 2308, 1705, 8741, 0, 1009, 6275, 31, 3075, 1916, 1106, 2459, 10119, 7813, 1905, 1043, 2317, 3498, 1053, 19613, 28870, 1470, 1608, 1009, 19755, 1060, 8506, 1049, 3878, 2635, 3716, 1009, 16359, 7649, 1102, 33, 2317, 3498, 1053, 3951, 1009, 12038, 17628, 9185, 1005, 1044, 19140, 1009, 10256, 24055, 1009, 15783, 1005, 4341, 1367, 5820, 20700, 2577, 1394, 13778, 12526, 1424, 1040, 1280, 9176, 1049, 1422, 0, 2686, 12152, 1060, 8240, 1060, 7022, 1009, 6015, 15584, 1049, 2293, 1009, 3030, 3590, 71, 24333, 2804, 1258, 1637, 14768, 5445, 1067, 7588, 1960, 5783, 3718, 1573, 1005, 8178, 1013, 25593, 23837, 1072, 1561, 1094, 7472, 17330, 1009, 2254, 1121, 7813, 4846, 1063, 2042, 1060, 1224, 1834, 1096, 16748, 1009, 5000, 26346, 1005, 1162, 1292, 1034, 31200, 11185, 4052, 1236, 1118, 4031, 24360, 1009, 1114, 4650, 1329, 17894, 1196, 4581, 1005, 1057, 19280, 1055, 12767, 1049, 2930, 6377, 23481, 12796, 1370, 32, 1422, 12687, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 14558, 26, 1467, 5009, 32, 1144, 5703, 14257, 8964, 1063, 1267, 4706, 2555, 6124, 32, 1138, 4049, 4414, 7567, 3776, 21193, 18150, 8, 22819, 1138, 21896, 4503, 2982, 2870, 19484, 6793, 7463, 9355, 3402, 31007, 32, 25289, 2026, 2023, 1705, 19, 3218, 0, 1307, 5861, 3075, 1916, 5315, 3590, 1171, 1031, 8772, 1584, 168, 1397, 3039, 10491, 2577, 1394, 32, 12796, 1370, 32, 13932, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 26, 3531, 1467, 5009, 32, 23605, 4812, 19564, 2722, 6759, 2597, 2934, 1136, 1009, 2555, 6124, 32, 1138, 1142, 8182, 4186, 53, 2818, 1119, 8638, 24552, 5462, 12992, 30074, 21957, 4071, 11136, 21957, 2428, 2818, 25778, 39, 13827, 4952, 26032, 4904, 1009, 2778, 1273, 9100, 2454, 3211, 1705, 8221, 0, 1009, 29007, 19, 14, 4681, 86, 2211, 1916, 1106, 2459, 3619, 1016, 20751, 27897, 21579, 29209, 3723, 1357, 3892, 8772, 1049, 2566, 20700, 2577, 1394, 32, 6416, 1769, 1493, 7296, 1005, 26732, 1322, 1026, 4954, 79, 5691, 1049, 28618, 1069, 1073, 11812, 1406, 3733, 1009, 21330, 1009, 8052, 1164, 1048, 4836, 1094, 7799, 3221, 1713, 1213, 7395, 1876, 1060, 17296, 1315, 1077, 1006, 17529, 1006, 1991, 1346, 1060, 9827, 7253, 1026, 3445, 1213, 15608, 1100, 1006, 1026, 3679, 1187, 11622, 2106, 1006, 3971, 1009, 20292, 1005, 1006, 1169, 1108, 12811, 1463, 2266, 1213, 4026, 20290, 1370, 32, 18669, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 1083, 26300, 1467, 5009, 32, 23605, 4812, 19564, 2722, 3236, 1766, 1939, 2555, 6124, 32, 21957, 5264, 40, 14303, 4824, 12239, 13411, 21698, 29916, 10473, 1138, 6445, 46, 4055, 19897, 6764, 9128, 6089, 1144, 7146, 4071, 31007, 32, 17985, 1049, 21388, 9100, 3067, 1999, 1705, 8741, 0, 1009, 9787, 19, 14, 3430, 15, 86, 2211, 1916, 1106, 2459, 5945, 1093, 1278, 7813, 1905, 1043, 23, 8996, 1009, 14281, 1005, 2322, 5912, 9954, 1009, 5795, 1054, 4051, 14951, 2335, 20700, 2577, 1394, 32, 7029, 2021, 1526, 12905, 1060, 27475, 10426, 10597, 1072, 3878, 24799, 1236, 1072, 2293, 1009, 3030, 1072, 1531, 1083, 1009, 8108, 1009, 21395, 1048, 20982, 1006, 1095, 84, 3656, 1005, 1026, 4200, 30256, 1009, 14281, 20290, 1370, 32, 21140, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2475, 4994, 24, 1467, 5009, 32, 23605, 4812, 19564, 2722, 20097, 2555, 6124, 32, 18839, 56, 9761, 2818, 1067, 2581, 10717, 31007, 32, 31667, 2330, 1820, 1126, 9100, 3310, 1999, 1705, 8221, 0, 1009, 3186, 28, 3075, 1916, 1106, 2459, 1156, 14111, 1905, 1043, 18682, 1213, 2729, 1049, 29799, 1424, 1094, 4671, 8300, 1009, 8894, 20, 3619, 71, 1043, 30286, 1009, 1251, 6818, 20700, 2577, 1394, 32, 5311, 10193, 5517, 14768, 2656, 1058, 10659, 14531, 1145, 26741, 2533, 14102, 7672, 1124, 4166, 1096, 24782, 12257, 9158, 17227, 28482, 1058, 10659, 8555, 1006, 21958, 1005, 1006, 3118, 8196, 3368, 1006, 2542, 1078, 1391, 1005, 1006, 4458, 6165, 1219, 5783, 2246, 1664, 1225, 1006, 1224, 1039, 7551, 1751, 1072, 1048, 1325, 3330, 1054, 14281, 1533, 6280, 1048, 1323, 4715, 7084, 1479, 9966, 2127, 1049, 2373, 42, 1787, 1047, 1009, 6458, 4324, 23257, 1026, 6721, 1271, 2346, 1081, 1242, 4942, 6729, 1435, 19460, 1479, 1516, 1044, 5333, 1048, 3866, 1034, 1006, 26143, 1005, 1026, 1249, 1130, 1177, 1009, 8555, 1048, 1927, 18643, 1089, 1005, 1556, 1707, 21161, 1054, 1664, 1132, 1251, 2184, 1060, 2348, 1834, 5721, 1668, 11725, 1213, 1428, 9126, 1027, 1009, 2068, 2350, 1271, 10074, 1392, 1048, 1009, 14281, 3881, 10277, 5381, 1077, 1657, 2997, 14099, 1374, 30964, 1048, 1118, 15858, 10356, 1076, 20217, 79, 1322, 1026, 8679, 7792, 1020, 1348, 1187, 12945, 1118, 7881, 3028, 11997, 24224, 1034, 5836, 1202, 1024, 5949, 8233, 8, 12796, 1370, 32, 14545, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 1844, 4673, 25, 1467, 5009, 32, 23605, 4812, 19564, 2722, 18417, 1009, 2555, 6124, 32, 10710, 51, 2321, 10274, 4071, 4824, 1084, 27862, 26225, 9761, 14799, 30581, 6793, 27637, 130, 3642, 11040, 20964, 31007, 32, 2375, 77, 1828, 1411, 9100, 6015, 1004, 20, 1705, 1479, 10396, 0, 1009, 11560, 3075, 1916, 5315, 20700, 2577, 1394, 32, 23992, 1009, 1094, 12905, 5191, 1054, 3727, 1009, 8819, 1009, 22319, 1114, 8699, 1009, 20745, 1009, 26036, 3619, 71, 1043, 3080, 1689, 30286, 1009, 1251, 6818, 20290, 1370, 32, 11587, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 4110, 14392, 1467, 5009, 32, 23605, 4812, 19564, 2722, 18417, 1009, 2555, 6124, 32, 21920, 15500, 14705, 24290, 5462, 1228, 50, 12134, 3642, 2053, 31007, 32, 10129, 5464, 1049, 12091, 1202, 1930, 9100, 3067, 2308, 1705, 19, 3218, 0, 1009, 2971, 28, 3075, 1916, 5315, 20700, 2577, 1394, 32, 12796, 1370, 32, 13932, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2523, 4829, 24, 1467, 5009, 32, 11136, 2713, 47, 7185, 8964, 11794, 1076, 2555, 6124, 32, 1123, 4186, 3071, 2713, 8638, 1067, 26865, 11018, 1123, 11805, 31311, 5881, 4414, 25488, 2164, 2818, 15275, 2805, 45, 31007, 32, 6416, 2961, 1461, 1049, 7674, 1009, 8258, 9100, 7466, 3162, 1705, 8221, 0, 1009, 5251, 5537, 18836, 60, 2599, 3075, 1916, 7729, 1019, 1227, 1112, 11845, 1054, 4635, 5361, 24219, 5674, 1157, 1124, 30933, 1009, 13732, 1358, 21505, 1063, 30894, 1005, 1043, 31830, 3087, 1009, 8894, 1072, 5105, 3096, 1874, 20, 1082, 1047, 1362, 29940, 5136, 1680, 5674, 1069, 1005, 1493, 19044, 20700, 2577, 1394, 26032, 25858, 10677, 1060, 15415, 1994, 1040, 84, 8772, 1009, 11745, 1590, 24799, 1236, 1072, 5995, 1009, 14600, 71, 1054, 1782, 1009, 9195, 1009, 23064, 3301, 3026, 18, 1072, 1210, 2095, 1033, 9916, 1064, 1803, 1357, 1944, 5326, 1026, 2568, 1049, 14281, 1005, 9199, 4736, 1324, 1039, 1127, 6027, 8616, 1048, 23600, 9013, 1054, 1663, 1094, 31633, 25766, 4201, 1009, 10592, 3974, 1049, 15346, 1048, 1184, 27468, 1278, 1058, 2852, 2241, 1043, 1006, 11061, 1009, 11745, 1590, 1114, 1598, 1038, 12976, 1080, 6348, 1126, 1744, 1053, 1009, 1006, 7340, 1213, 9495, 1049, 7674, 1009, 3032, 1114, 4760, 3309, 1126, 1048, 1028, 13, 8933, 3012, 6119, 2808, 1094, 4633, 1009, 1319, 1843, 9042, 7048, 20, 19905, 71, 7403, 13494, 1026, 24587, 1047, 1048, 1050, 5279, 5470, 1371, 1005, 1048, 1195, 1448, 1092, 8170, 8901, 1054, 3302, 1279, 3027, 2281, 2364, 22986, 1305, 1026, 4863, 25268, 1303, 1206, 11678, 2489, 23481, 12796, 1370, 32, 15876, 1254, 641, 1467, 17089, 1024, 1982, 3265, 1130, 10222, 2938, 32, 2224, 26, 3430, 1467, 5009, 32, 7915, 3776, 9020, 2722, 4243 ]

[ 3681, 4734, 1009, 3398, 6585, 1229, 4642, 5430, 15093, 4534, 4521, 3550, 5076, 10719, 23851, 1605, 1235, 7137, 1009, 7793, 26703, 1602, 5094, 15, 3125, 1605, 1235, 1720, 1467, 1088, 4142, 71, 1006, 1048, 3684, 3881, 2315, 1118, 7793, 1006, 26768, 29792, 1049, 1344, 51, 4562, 1043, 4734, 1187, 4679, 9800, 14182, 37, 1, 1972, 27175, 1026, 8566, 1043, 1124, 13468, 1322, 1124, 5220, 5958, 1018, 12558, 5817, 3653, 1907, 1071, 13924, 7588, 1044, 8566, 2191, 1098, 1462, 1523, 3335, 1048, 2845, 1305, 1503, 10541, 1349, 4540, 4347, 1322, 1006, 6619, 13974, 22349, 1067, 1997, 18660, 1063, 5600, 1998, 1068, 2594, 1930, 5534, 1089, 20567, 1623, 3394, 1100, 7503, 15482, 1699, 1063, 1222, 3694, 17648, 3769, 2402, 1005, 27718, 4648, 3969, 20, 1063, 1944, 11315, 1048, 3356, 79, 1043, 1067, 1997, 158, 1195, 18227, 2677, 3891, 8164, 1009, 29421, 4324, 1571, 1687, 12307, 1005, 2296, 1070, 6039, 5216, 18881, 1589, 14763, 17064, 1094, 3897, 1622, 8225, 1048, 1160, 1998, 10403, 1034, 16859, 5436, 1025, 1097, 1328, 15, 1159, 1318, 30889, 1094, 10902, 1213, 15588, 8354, 1357, 4782, 2860, 5059, 2838, 20, 12548, 1531, 1503, 1836, 13520, 1044, 4449, 1072, 4608, 15366, 1324, 1571, 1687, 4932, 1044, 20961, 16927, 15, 20200, 1044, 2574, 1322, 1224, 1834, 1005, 1211, 2640, 1486, 20, 1138, 23237, 1997, 158, 626, 1195, 1044, 21080, 1048, 3661, 1511, 8731, 1294, 1881, 73, 1554, 2858, 4604, 4108, 1114, 1235, 1831, 8501, 2037, 3512, 7092, 1225, 1159, 26589, 1009, 2920, 30703, 4206, 76, 10025, 14295, 30208, 15, 1786, 2923, 1054, 1094, 7182, 5503, 1713, 1005, 6748, 8668, 1766, 18058, 10680, 32, 2373, 2959, 1096, 6550, 1009, 7061, 4324, 1005, 6884, 1006, 1770, 8357, 4682, 3512, 1067, 1671, 1479, 1043, 1026, 4248, 1006, 7271, 2521, 1026, 1235, 6730, 14487, 1044, 1251, 1147, 1072, 1005, 1005, 18133, 1006, 11439, 9882, 3482, 1997, 158, 5810, 1054, 1094, 2531, 10092, 1009, 1574, 12325, 2634, 78, 2634, 1005, 1195, 6754, 1118, 4809, 15718, 10871, 14354, 1846, 1009, 1598, 8416, 18, 2845, 1006, 4246, 1439, 7648, 1054, 6828, 6296, 14380, 1043, 1026, 14593, 1009, 3371, 1463, 10169, 1728, 5024, 3372, 14519, 1511, 1687, 2257, 1657, 1422, 2864, 1516, 21437, 2954, 1065, 5304, 2858, 1009, 1456, 9372, 1195, 23259, 1005, 1026, 2143, 13025, 1038, 10449, 4490, 4809, 14519, 1511, 1687, 1836, 23250, 1006, 3560, 1005, 1195, 1992, 1048, 1687, 3475, 1006, 11849, 1049, 6650, 1184, 24640, 1776, 6870, 1100, 3512, 7312, 1048, 4064, 1006, 4125, 17294, 1005, 1118, 7653, 1009, 29527, 20, 4567, 1058, 7209, 1068, 1006, 3861, 2170, 15606, 1663, 1044, 4902, 1043, 1094, 12717, 9390, 1437, 1418, 1094, 7298, 1009, 22091, 1571, 2845, 1006, 1663, 6828, 18446, 1054, 5767, 28137, 1005, 1043, 6734, 11613, 1554, 14354, 1195, 24344, 1006, 1663, 4533, 2170, 19871, 8230, 1728, 5024, 9381, 14519, 1511, 18881, 1589, 14763, 1423, 1054, 1138, 2677, 3891, 8164, 1009, 1796, 1930, 1044, 1009, 1456, 11409, 1184, 3307, 7425, 3720, 2612, 1048, 4064, 1006, 11575, 1326, 1024, 1026, 9381, 1005, 6734, 2250, 5738, 2569, 1048, 6423, 1006, 4524, 32, 2373, 3885, 4800, 13101, 1124, 1049, 2106, 2246, 1664, 2661, 10514, 14260, 1493, 29132, 1309, 1009, 3473, 2596, 4319, 1048, 5711, 2930, 2011, 1005, 1026, 1048, 19412, 1114, 1834, 626, 1797, 9281, 1342, 25800, 15, 1005, 2231, 1082, 4096, 76, 1874, 19906, 5463, 1596, 3056, 6835, 1229, 1309, 1195, 1043, 23351, 79, 2750, 5644, 1013, 24325, 15, 1048, 22349, 1067, 1997, 158, 1090, 7541, 20, 27556, 1030, 1627, 2072, 4485, 1048, 4064, 1006, 7445, 3033, 1006, 11315, 2511, 2373, 2036, 3349, 1155, 1638, 8226, 11341, 1551, 3349, 1155, 4153, 1195, 2072, 4114, 1048, 2569, 1094, 22084, 2373, 7805, 1155, 8968, 2844, 1008, 91, 1091, 626, 4817, 14537, 1571, 1687, 2649, 2448, 1006, 2921, 4575, 32, 1387, 11834, 1067, 1157, 2838, 20, 2494, 8230, 1126, 4320, 10152, 18398, 4433, 1006, 14825, 1049, 4575, 20, 8466, 16319, 2070, 1273, 22349, 1067, 1997, 158, 1516, 3179, 31457, 1236, 1356, 10445, 1048, 1198, 28017, 10230, 18717, 1006, 12928, 1393, 10948, 2729, 1187, 2864, 1067, 1997, 158, 7918, 1044, 7929, 1221, 16003, 18, 6580, 1009, 3056, 30825, 8519, 9843, 6158, 1005, 4333, 1319, 9843, 3504, 1319, 20994, 15, 1005, 1006, 17621, 1009, 2373, 5155, 1153, 1251, 16209, 8226, 9338, 18, 1159, 1160, 3012, 1178, 3630, 1071, 6080, 1197, 9319, 3062, 1072, 8114, 15, 22349, 1067, 1997, 158, 1318, 1096, 7197, 7, 1142, 1545, 1048, 27079, 1006, 12058, 4320, 6258, 5493, 1005, 1048, 4292, 2125, 1048, 1160, 21802, 1060, 2348, 8829, 6005, 32, 2373, 7805, 1155, 8968, 2844, 1008, 91, 1091, 4324, 2373, 14878, 1518, 1285, 27401, 1072, 8998, 626, 1005, 2373, 2036, 3349, 1155, 1638, 8226, 3782, 9027, 1687, 1096, 1006, 7318, 1271, 6258, 1048, 4551, 2241, 1114, 6222, 1271, 8230, 1728, 3106, 2423, 23237, 3728, 626, 1318, 1096, 10009, 7, 11427, 19932, 5192, 1322, 1224, 1834, 23208, 22349, 1067, 1997, 158, 1195, 19267, 1890, 10757, 1005, 1791, 1646, 1043, 1026, 14531, 1221, 1180, 16195, 17271, 6459, 1034, 16597, 1043, 2306, 2569, 1791, 19189, 4567, 1048, 2793, 3745, 4511, 1126, 3765, 1094, 6521, 6909, 1048, 1160, 1225, 4961, 1054, 1058, 2852, 1024, 1043, 1184, 1028, 1706, 1191, 32, 26531, 3655, 79, 1471, 1048, 74, 1024, 1285, 3909, 1935, 11696, 2231, 1058, 166, 1017, 19859, 6459, 1034, 2091, 1033, 3200, 1319, 11348, 28432, 1009, 18341, 1834, 31053, 1125, 1216, 13126, 17100, 1200, 85, 2579, 1317, 158, 3504, 1006, 17474, 1119, 1333, 1496, 1064, 18468, 1069, 18341, 1834, 626, 9390, 76, 1262, 1079, 2464, 1072, 23484, 1060, 14382, 9846, 1094, 11166, 6647, 1009, 13744, 1048, 1006, 26751, 1187, 1881, 3025, 1005, 1187, 7180, 19189, 4967, 1117, 1048, 1114, 14565, 2257, 1094, 7663, 1086, 1685, 1118, 12395, 1005, 3453, 1005, 2464, 1592, 1043, 3189, 1005, 3307, 4140, 2467, 1393, 1054, 2573, 1679, 1962, 1012, 1554, 13287, 6479, 1184, 1005, 3192, 1516, 5434, 20, 1482, 4918, 2803, 1009, 1224, 5297, 2845, 1006, 1261, 5832, 1009, 9613, 1160, 6479, 3417, 1048, 1132, 5089, 1710, 6039, 1040, 1206, 1058, 20405, 1049, 1449, 4457, 1482, 1094, 30090, 1571, 1687, 6706, 1026, 2868, 2430, 16080, 2260, 3836, 1054, 1224, 18780, 1627, 1067, 1997, 158, 2612, 1048, 1998, 4713, 1058, 8402, 1846, 1048, 7209, 1009, 9403, 16893, 1526, 1118, 1456, 22431, 1009, 5281, 8068, 5838, 14711, 1349, 1118, 1569, 23132, 23178, 1005, 1357, 12837, 1356, 25473, 1067, 1997, 158, 5404, 8264, 1044, 3239, 3266, 2170, 1884, 5254, 1229, 1680, 12558, 10636, 20189, 1148, 1060, 27718, 4648, 3969, 1005, 1060, 20567, 1623, 3394, 1100, 1687, 1096, 1094, 3762, 86, 1076, 1005, 1733, 2974, 1007, 1271, 8770, 1242, 9138, 1392, 1005, 5649, 1048, 1160, 1225, 3489, 1009, 9135, 1009, 27985, 1072, 1235, 23821, 1160, 2097, 2373, 1255, 1539, 1024, 626, 3021, 1024, 4624, 1067, 1997, 158, 1005, 20567, 1623, 3394, 85, 1054, 2373, 31370, 18438, 1223, 1019, 626, 1691, 1461, 1067, 1997, 5280, 1992, 1159, 17648, 3769, 2402, 1096, 1094, 26524, 6353, 1048, 2598, 4126, 1049, 1238, 1479, 1048, 2922, 1005, 8486, 1325, 1054, 1094, 2935, 1335, 1377, 1063, 3808, 1195, 2373, 31370, 18438, 1223, 1019, 626, 1571, 1717, 73, 1051, 1393, 1213, 2790, 1009, 6082, 8435, 6082, 2444, 1048, 20567, 1623, 3394, 85, 7, 2494, 14686, 1126, 1067, 1997, 158, 1516, 23287, 18, 1006, 4809, 3533, 9176, 1009, 1570, 5949, 5226, 2255, 19324, 1225, 1094, 7668, 20484, 71, 1005, 1124, 2156, 1327, 20619, 1009, 22781, 4228, 5476, 1349, 1048, 2569, 1569, 3978, 6989, 5010, 2858, 9889, 8343, 2044, 1627, 1160, 37, 3720, 1318, 4064, 1006, 1717, 73, 1051, 1024, 1043, 27718, 4648, 3969, 1054, 21065, 5831, 1054, 4062, 26766, 3694, 9175, 4648, 3969, 1516, 1006, 9388, 152, 1005, 1067, 1997, 158, 6890, 1034, 1124, 2373, 83, 1097, 2447, 626, 13906, 1319, 3445, 3504, 1319, 20994, 1195, 1094, 1271, 5220, 30825, 7893, 5006, 26524, 1048, 1503, 3356, 1034, 1511, 20882, 15903, 1060, 4044, 1068, 1160, 6388, 3819, 12500, 7, 12636, 4477, 1280, 1005, 12269, 1685, 14042, 150, 26837, 2829, 1132, 5138, 3145, 1479, 2170, 1159, 19244, 2421, 1324, 1160, 1998, 5588, 14367, 1159, 1318, 1598, 2241, 1044, 8270, 2201, 7296, 20, 14458, 2464, 1357, 1944, 5326, 1323, 8749, 1089, 3360, 1357, 1025, 1097, 6284, 2950, 1356, 1025, 1097, 1810, 28592, 1026, 26121, 3987, 8230, 1126, 1006, 78, 7, 2656, 2257, 3879, 3424, 23351, 1139, 2732, 4324, 1044, 2792, 1305, 1448, 88, 11208, 9680, 2257, 1094, 9304, 1049, 1032, 1034, 1118, 3512, 4669, 29978, 1937, 2794, 1997, 158, 15, 1005, 9251, 1009, 2289, 1068, 7386, 2073, 1044, 1048, 1215, 21332, 1072, 1235, 27228, 1776, 2738, 1060, 14168, 1264, 1058, 23596, 1034, 1009, 2631, 1043, 1026, 14593, 1009, 4311, 31378, 4064, 1006, 10327, 18124, 6910, 1580, 1072, 1235, 28061, 1068, 5086, 1787, 1456, 7328, 1005, 11418, 1043, 1289, 6857, 23398, 20, 21893, 1846, 1009, 2712, 1024, 4306, 6962, 1229, 1009, 5592, 3256, 2539, 5138, 1071, 1441, 3016, 13448, 1009, 3647, 1044, 31391, 1446, 1072, 1235, 5512, 1349, 4557, 2732, 7092, 1516, 1044, 11680, 1098, 8074, 11516, 1009, 25200, 15, 3722, 1044, 6276, 1043, 3512, 4669, 29978, 11382, 1571, 23596, 75, 7904, 1456, 13102, 1006, 2928, 1342, 3098, 6314, 1005, 27065, 20, 2013, 1044, 1187, 5138, 1184, 7617, 3025, 1005, 3300, 1654, 1048, 1566, 1050, 1803, 1005, 1067, 1997, 158, 1225, 1807, 6522, 1114, 14686, 1126, 1847, 1044, 3311, 17731, 1114, 9743, 1060, 2042, 3021, 12075, 1073, 3247, 1019, 1153, 32, 2494, 2750, 3337, 1009, 5504, 2024, 1074, 2034, 1018, 7278, 1067, 1997, 158, 7445, 5604, 1044, 1187, 8810, 1184, 2486, 5048, 1776, 6449, 1687, 18881, 1094, 3897, 8183, 11622, 3694, 1048, 3135, 4524, 20295, 14661, 1068, 5711, 1006, 5066, 1024, 1132, 15427, 1033, 1177, 1363, 12826, 1391, 1060, 5380, 7950, 1778, 20, 1138, 2863, 1096, 1048, 1235, 6680, 1096, 1044, 2519, 4200, 77, 1599, 1048, 8983, 1006, 1124, 26482, 6063, 2799, 6144, 1005, 1048, 1006, 14779, 1493, 2574, 20, 3512, 5090, 1006, 1261, 8068, 15518, 1463, 6000, 1005, 3135, 1009, 1094, 12186, 2169, 1961, 1309, 1068, 1616, 3135, 4125, 1357, 9738, 1009, 1094, 12881, 7092, 1225, 1044, 2535, 1043, 1026, 6680, 1005, 3833, 1009, 23970, 1822, 1018, 5493, 1565, 2013, 5573, 1048, 1687, 1160, 6787, 1005, 1068, 20116, 19276, 1096, 4905, 1140, 14294, 1278, 1009, 6989, 1667, 1424, 12818, 2373, 1331, 1170, 4324, 3512, 7917, 3027, 1044, 6147, 23987, 1005, 1795, 1126, 1305, 11146, 18, 1006, 12881, 1060, 5643, 1833, 82, 3853, 4907, 1009, 14059, 80, 16572, 32, 3316, 11315, 22796, 71, 1005, 20792, 3336, 1128, 1027, 23282, 1048, 1195, 8989, 1359, 8576, 1996, 1060, 6746, 11499, 1160, 1323, 12016, 1100, 1006, 11315, 1184, 24440, 1196, 1357, 13663, 4719, 15, 1005, 5404, 1043, 1657, 2971, 30579, 15343, 1063, 14168, 20352, 1322, 18394, 1009, 5456, 20246, 1005, 1067, 1997, 158, 18881, 1589, 2156, 5138, 32, 14059, 80, 16572, 1005, 1570, 31473, 1048, 2829, 17767, 3589, 1309, 1048, 1160, 5588, 15898, 1066, 1071, 1285, 1047, 2591, 2399, 1056, 7139, 18, 1160, 37, 1565, 3512, 1516, 1094, 5958, 1305, 12788, 1048, 18904, 1213, 2790, 1009, 1044, 9381, 3746, 1147, 20, 14059, 80, 1330, 2339, 1118, 2143, 6079, 1516, 1094, 1910, 1129, 1896, 1048, 1836, 1054, 3902, 1009, 1044, 1049, 1348, 1009, 9134, 1068, 3419, 1533, 1108, 80, 16572, 1160, 6409, 1663, 2122, 3129, 2246, 1836, 1043, 10553, 12557, 1005, 6021, 11056, 1068, 14149, 1009, 2269, 1043, 1570, 162, 1377, 2494, 4180, 1006, 25995, 10279, 17689, 25031, 1049, 2671, 27225, 15, 12491, 1094, 6866, 1233, 11010, 7814, 1157, 1048, 1006, 11315, 4219, 12249, 7573, 1049, 31226, 1424, 1006, 2553, 1199, 1068, 2697, 1930, 1132, 10418, 18212, 14451, 1094, 6347, 1072, 2822, 1049, 3810, 12500, 1571, 1919, 1648, 32, 18227, 80, 3691, 1048, 1125, 1319, 3853, 4907, 1009, 14059, 80, 16572, 1496, 95, 1508, 4240, 1905, 23595, 27401, 1098, 2527, 1095, 1302, 1009, 1429, 1115, 1198, 17417, 1023, 13773, 4340, 1009, 4062, 4614, 20, 12797, 17529, 1223, 1170, 1572, 22783, 1242, 7474, 1580, 21026, 3998, 18, 2205, 10514, 4301, 1212, 1188, 1319, 2751, 3489, 1009, 2237, 21502, 32, 2955, 19935, 2491, 1009, 17529, 1223, 1209, 2291, 1554, 1535, 17529, 27702, 1216, 1014, 5920, 8112, 2315, 1026, 90, 1170, 10034, 7, 4093, 1124, 2725, 21638, 27811, 4477, 5696, 20567, 1623, 3394, 1100, 1551, 3349, 1155, 19918, 27718, 4648, 1358, 1100, 4333, 1319, 3445, 3504, 1319, 1026, 12429, 17648, 3769, 11097, 7503, 15482, 1699, 1063, 1222, 3694, 2955, 18438, 1223, 10788, 3512, 1067, 1997, 5280, 2605, 1155, 1226, 2844, 1008, 91, 3017, 16793, 6074, 5644, 1013, 26, 5812, 28625, 1024, 28625, 1024, 1118, 1898, 22063, 1907, 5, 5402, 2639, 4705, 30, 1783, 4793, 1412, 1989, 4861, 22086, 1727, 22086, 1727, 1067, 3257, 1024, 1082, 1438, 8108, 4229, 9864, 4229 ]

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

[ 3681, 4734, 1009, 3398, 6585, 1229, 4642, 5430, 15093, 4534, 4521, 3550, 5076, 10719, 23851, 1605, 1235, 7137, 1009, 7793, 26703, 1602, 5094, 15, 3125, 1605, 1235, 1720, 1467, 1088, 4142, 71, 1006, 1048, 3684, 3881, 2315, 1118, 7793, 1006, 26768, 29792, 1049, 1344, 51, 4562, 1043, 4734, 1187, 4679, 9800, 14182, 37, 1, 1972, 27175, 1026, 8566, 1043, 1124, 13468, 1322, 1124, 5220, 5958, 1018, 12558, 5817, 3653, 1907, 1071, 13924, 7588, 1044, 8566, 2191, 1098, 1462, 1523, 3335, 1048, 2845, 1305, 1503, 10541, 1349, 4540, 4347, 1322, 1006, 6619, 13974, 22349, 1067, 1997, 18660, 1063, 5600, 1998, 1068, 2594, 1930, 5534, 1089, 20567, 1623, 3394, 1100, 7503, 15482, 1699, 1063, 1222, 3694, 17648, 3769, 2402, 1005, 27718, 4648, 3969, 20, 1063, 1944, 11315, 1048, 3356, 79, 1043, 1067, 1997, 158, 1195, 18227, 2677, 3891, 8164, 1009, 29421, 4324, 1571, 1687, 12307, 1005, 2296, 1070, 6039, 5216, 18881, 1589, 14763, 17064, 1094, 3897, 1622, 8225, 1048, 1160, 1998, 10403, 1034, 16859, 5436, 1025, 1097, 1328, 15, 1159, 1318, 30889, 1094, 10902, 1213, 15588, 8354, 1357, 4782, 2860, 5059, 2838, 20, 12548, 1531, 1503, 1836, 13520, 1044, 4449, 1072, 4608, 15366, 1324, 1571, 1687, 4932, 1044, 20961, 16927, 15, 20200, 1044, 2574, 1322, 1224, 1834, 1005, 1211, 2640, 1486, 20, 1138, 23237, 1997, 158, 626, 1195, 1044, 21080, 1048, 3661, 1511, 8731, 1294, 1881, 73, 1554, 2858, 4604, 4108, 1114, 1235, 1831, 8501, 2037, 3512, 7092, 1225, 1159, 26589, 1009, 2920, 30703, 4206, 76, 10025, 14295, 30208, 15, 1786, 2923, 1054, 1094, 7182, 5503, 1713, 1005, 6748, 8668, 1766, 18058, 10680, 32, 2373, 2959, 1096, 6550, 1009, 7061, 4324, 1005, 6884, 1006, 1770, 8357, 4682, 3512, 1067, 1671, 1479, 1043, 1026, 4248, 1006, 7271, 2521, 1026, 1235, 6730, 14487, 1044, 1251, 1147, 1072, 1005, 1005, 18133, 1006, 11439, 9882, 3482, 1997, 158, 5810, 1054, 1094, 2531, 10092, 1009, 1574, 12325, 2634, 78, 2634, 1005, 1195, 6754, 1118, 4809, 15718, 10871, 14354, 1846, 1009, 1598, 8416, 18, 2845, 1006, 4246, 1439, 7648, 1054, 6828, 6296, 14380, 1043, 1026, 14593, 1009, 3371, 1463, 10169, 1728, 5024, 3372, 14519, 1511, 1687, 2257, 1657, 1422, 2864, 1516, 21437, 2954, 1065, 5304, 2858, 1009, 1456, 9372, 1195, 23259, 1005, 1026, 2143, 13025, 1038, 10449, 4490, 4809, 14519, 1511, 1687, 1836, 23250, 1006, 3560, 1005, 1195, 1992, 1048, 1687, 3475, 1006, 11849, 1049, 6650, 1184, 24640, 1776, 6870, 1100, 3512, 7312, 1048, 4064, 1006, 4125, 17294, 1005, 1118, 7653, 1009, 29527, 20, 4567, 1058, 7209, 1068, 1006, 3861, 2170, 15606, 1663, 1044, 4902, 1043, 1094, 12717, 9390, 1437, 1418, 1094, 7298, 1009, 22091, 1571, 2845, 1006, 1663, 6828, 18446, 1054, 5767, 28137, 1005, 1043, 6734, 11613, 1554, 14354, 1195, 24344, 1006, 1663, 4533, 2170, 19871, 8230, 1728, 5024, 9381, 14519, 1511, 18881, 1589, 14763, 1423, 1054, 1138, 2677, 3891, 8164, 1009, 1796, 1930, 1044, 1009, 1456, 11409, 1184, 3307, 7425, 3720, 2612, 1048, 4064, 1006, 11575, 1326, 1024, 1026, 9381, 1005, 6734, 2250, 5738, 2569, 1048, 6423, 1006, 4524, 32, 2373, 3885, 4800, 13101, 1124, 1049, 2106, 2246, 1664, 2661, 10514, 14260, 1493, 29132, 1309, 1009, 3473, 2596, 4319, 1048, 5711, 2930, 2011, 1005, 1026, 1048, 19412, 1114, 1834, 626, 1797, 9281, 1342, 25800, 15, 1005, 2231, 1082, 4096, 76, 1874, 19906, 5463, 1596, 3056, 6835, 1229, 1309, 1195, 1043, 23351, 79, 2750, 5644, 1013, 24325, 15, 1048, 22349, 1067, 1997, 158, 1090, 7541, 20, 27556, 1030, 1627, 2072, 4485, 1048, 4064, 1006, 7445, 3033, 1006, 11315, 2511, 2373, 2036, 3349, 1155, 1638, 8226, 11341, 1551, 3349, 1155, 4153, 1195, 2072, 4114, 1048, 2569, 1094, 22084, 2373, 7805, 1155, 8968, 2844, 1008, 91, 1091, 626, 4817, 14537, 1571, 1687, 2649, 2448, 1006, 2921, 4575, 32, 1387, 11834, 1067, 1157, 2838, 20, 2494, 8230, 1126, 4320, 10152, 18398, 4433, 1006, 14825, 1049, 4575, 20, 8466, 16319, 2070, 1273, 22349, 1067, 1997, 158, 1516, 3179, 31457, 1236, 1356, 10445, 1048, 1198, 28017, 10230, 18717, 1006, 12928, 1393, 10948, 2729, 1187, 2864, 1067, 1997, 158, 7918, 1044, 7929, 1221, 16003, 18, 6580, 1009, 3056, 30825, 8519, 9843, 6158, 1005, 4333, 1319, 9843, 3504, 1319, 20994, 15, 1005, 1006, 17621, 1009, 2373, 5155, 1153, 1251, 16209, 8226, 9338, 18, 1159, 1160, 3012, 1178, 3630, 1071, 6080, 1197, 9319, 3062, 1072, 8114, 15, 22349, 1067, 1997, 158, 1318, 1096, 7197, 7, 1142, 1545, 1048, 27079, 1006, 12058, 4320, 6258, 5493, 1005, 1048, 4292, 2125, 1048, 1160, 21802, 1060, 2348, 8829, 6005, 32, 2373, 7805, 1155, 8968, 2844, 1008, 91, 1091, 4324, 2373, 14878, 1518, 1285, 27401, 1072, 8998, 626, 1005, 2373, 2036, 3349, 1155, 1638, 8226, 3782, 9027, 1687, 1096, 1006, 7318, 1271, 6258, 1048, 4551, 2241, 1114, 6222, 1271, 8230, 1728, 3106, 2423, 23237, 3728, 626, 1318, 1096, 10009, 7, 11427, 19932, 5192, 1322, 1224, 1834, 23208, 22349, 1067, 1997, 158, 1195, 19267, 1890, 10757, 1005, 1791, 1646, 1043, 1026, 14531, 1221, 1180, 16195, 17271, 6459, 1034, 16597, 1043, 2306, 2569, 1791, 19189, 4567, 1048, 2793, 3745, 4511, 1126, 3765, 1094, 6521, 6909, 1048, 1160, 1225, 4961, 1054, 1058, 2852, 1024, 1043, 1184, 1028, 1706, 1191, 32, 26531, 3655, 79, 1471, 1048, 74, 1024, 1285, 3909, 1935, 11696, 2231, 1058, 166, 1017, 19859, 6459, 1034, 2091, 1033, 3200, 1319, 11348, 28432, 1009, 18341, 1834, 31053, 1125, 1216, 13126, 17100, 1200, 85, 2579, 1317, 158, 3504, 1006, 17474, 1119, 1333, 1496, 1064, 18468, 1069, 18341, 1834, 626, 9390, 76, 1262, 1079, 2464, 1072, 23484, 1060, 14382, 9846, 1094, 11166, 6647, 1009, 13744, 1048, 1006, 26751, 1187, 1881, 3025, 1005, 1187, 7180, 19189, 4967, 1117, 1048, 1114, 14565, 2257, 1094, 7663, 1086, 1685, 1118, 12395, 1005, 3453, 1005, 2464, 1592, 1043, 3189, 1005, 3307, 4140, 2467, 1393, 1054, 2573, 1679, 1962, 1012, 1554, 13287, 6479, 1184, 1005, 3192, 1516, 5434, 20, 1482, 4918, 2803, 1009, 1224, 5297, 2845, 1006, 1261, 5832, 1009, 9613, 1160, 6479, 3417, 1048, 1132, 5089, 1710, 6039, 1040, 1206, 1058, 20405, 1049, 1449, 4457, 1482, 1094, 30090, 1571, 1687, 6706, 1026, 2868, 2430, 16080, 2260, 3836, 1054, 1224, 18780, 1627, 1067, 1997, 158, 2612, 1048, 1998, 4713, 1058, 8402, 1846, 1048, 7209, 1009, 9403, 16893, 1526, 1118, 1456, 22431, 1009, 5281, 8068, 5838, 14711, 1349, 1118, 1569, 23132, 23178, 1005, 1357, 12837, 1356, 25473, 1067, 1997, 158, 5404, 8264, 1044, 3239, 3266, 2170, 1884, 5254, 1229, 1680, 12558, 10636, 20189, 1148, 1060, 27718, 4648, 3969, 1005, 1060, 20567, 1623, 3394, 1100, 1687, 1096, 1094, 3762, 86, 1076, 1005, 1733, 2974, 1007, 1271, 8770, 1242, 9138, 1392, 1005, 5649, 1048, 1160, 1225, 3489, 1009, 9135, 1009, 27985, 1072, 1235, 23821, 1160, 2097, 2373, 1255, 1539, 1024, 626, 3021, 1024, 4624, 1067, 1997, 158, 1005, 20567, 1623, 3394, 85, 1054, 2373, 31370, 18438, 1223, 1019, 626, 1691, 1461, 1067, 1997, 5280, 1992, 1159, 17648, 3769, 2402, 1096, 1094, 26524, 6353, 1048, 2598, 4126, 1049, 1238, 1479, 1048, 2922, 1005, 8486, 1325, 1054, 1094, 2935, 1335, 1377, 1063, 3808, 1195, 2373, 31370, 18438, 1223, 1019, 626, 1571, 1717, 73, 1051, 1393, 1213, 2790, 1009, 6082, 8435, 6082, 2444, 1048, 20567, 1623, 3394, 85, 7, 2494, 14686, 1126, 1067, 1997, 158, 1516, 23287, 18, 1006, 4809, 3533, 9176, 1009, 1570, 5949, 5226, 2255, 19324, 1225, 1094, 7668, 20484, 71, 1005, 1124, 2156, 1327, 20619, 1009, 22781, 4228, 5476, 1349, 1048, 2569, 1569, 3978, 6989, 5010, 2858, 9889, 8343, 2044, 1627, 1160, 37, 3720, 1318, 4064, 1006, 1717, 73, 1051, 1024, 1043, 27718, 4648, 3969, 1054, 21065, 5831, 1054, 4062, 26766, 3694, 9175, 4648, 3969, 1516, 1006, 9388, 152, 1005, 1067, 1997, 158, 6890, 1034, 1124, 2373, 83, 1097, 2447, 626, 13906, 1319, 3445, 3504, 1319, 20994, 1195, 1094, 1271, 5220, 30825, 7893, 5006, 26524, 1048, 1503, 3356, 1034, 1511, 20882, 15903, 1060, 4044, 1068, 1160, 6388, 3819, 12500, 7, 12636, 4477, 1280, 1005, 12269, 1685, 14042, 150, 26837, 2829, 1132, 5138, 3145, 1479, 2170, 1159, 19244, 2421, 1324, 1160, 1998, 5588, 14367, 1159, 1318, 1598, 2241, 1044, 8270, 2201, 7296, 20, 14458, 2464, 1357, 1944, 5326, 1323, 8749, 1089, 3360, 1357, 1025, 1097, 6284, 2950, 1356, 1025, 1097, 1810, 28592, 1026, 26121, 3987, 8230, 1126, 1006, 78, 7, 2656, 2257, 3879, 3424, 23351, 1139, 2732, 4324, 1044, 2792, 1305, 1448, 88, 11208, 9680, 2257, 1094, 9304, 1049, 1032, 1034, 1118, 3512, 4669, 29978, 1937, 2794, 1997, 158, 15, 1005, 9251, 1009, 2289, 1068, 7386, 2073, 1044, 1048, 1215, 21332, 1072, 1235, 27228, 1776, 2738, 1060, 14168, 1264, 1058, 23596, 1034, 1009, 2631, 1043, 1026, 14593, 1009, 4311, 31378, 4064, 1006, 10327, 18124, 6910, 1580, 1072, 1235, 28061, 1068, 5086, 1787, 1456, 7328, 1005, 11418, 1043, 1289, 6857, 23398, 20, 21893, 1846, 1009, 2712, 1024, 4306, 6962, 1229, 1009, 5592, 3256, 2539, 5138, 1071, 1441, 3016, 13448, 1009, 3647, 1044, 31391, 1446, 1072, 1235, 5512, 1349, 4557, 2732, 7092, 1516, 1044, 11680, 1098, 8074, 11516, 1009, 25200, 15, 3722, 1044, 6276, 1043, 3512, 4669, 29978, 11382, 1571, 23596, 75, 7904, 1456, 13102, 1006, 2928, 1342, 3098, 6314, 1005, 27065, 20, 2013, 1044, 1187, 5138, 1184, 7617, 3025, 1005, 3300, 1654, 1048, 1566, 1050, 1803, 1005, 1067, 1997, 158, 1225, 1807, 6522, 1114, 14686, 1126, 1847, 1044, 3311, 17731, 1114, 9743, 1060, 2042, 3021, 12075, 1073, 3247, 1019, 1153, 32, 2494, 2750, 3337, 1009, 5504, 2024, 1074, 2034, 1018, 7278, 1067, 1997, 158, 7445, 5604, 1044, 1187, 8810, 1184, 2486, 5048, 1776, 6449, 1687, 18881, 1094, 3897, 8183, 11622, 3694, 1048, 3135, 4524, 20295, 14661, 1068, 5711, 1006, 5066, 1024, 1132, 15427, 1033, 1177, 1363, 12826, 1391, 1060, 5380, 7950, 1778, 20, 1138, 2863, 1096, 1048, 1235, 6680, 1096, 1044, 2519, 4200, 77, 1599, 1048, 8983, 1006, 1124, 26482, 6063, 2799, 6144, 1005, 1048, 1006, 14779, 1493, 2574, 20, 3512, 5090, 1006, 1261, 8068, 15518, 1463, 6000, 1005, 3135, 1009, 1094, 12186, 2169, 1961, 1309, 1068, 1616, 3135, 4125, 1357, 9738, 1009, 1094, 12881, 7092, 1225, 1044, 2535, 1043, 1026, 6680, 1005, 3833, 1009, 23970, 1822, 1018, 5493, 1565, 2013, 5573, 1048, 1687, 1160, 6787, 1005, 1068, 20116, 19276, 1096, 4905, 1140, 14294, 1278, 1009, 6989, 1667, 1424, 12818, 2373, 1331, 1170, 4324, 3512, 7917, 3027, 1044, 6147, 23987, 1005, 1795, 1126, 1305, 11146, 18, 1006, 12881, 1060, 5643, 1833, 82, 3853, 4907, 1009, 14059, 80, 16572, 32, 3316, 11315, 22796, 71, 1005, 20792, 3336, 1128, 1027, 23282, 1048, 1195, 8989, 1359, 8576, 1996, 1060, 6746, 11499, 1160, 1323, 12016, 1100, 1006, 11315, 1184, 24440, 1196, 1357, 13663, 4719, 15, 1005, 5404, 1043, 1657, 2971, 30579, 15343, 1063, 14168, 20352, 1322, 18394, 1009, 5456, 20246, 1005, 1067, 1997, 158, 18881, 1589, 2156, 5138, 32, 14059, 80, 16572, 1005, 1570, 31473, 1048, 2829, 17767, 3589, 1309, 1048, 1160, 5588, 15898, 1066, 1071, 1285, 1047, 2591, 2399, 1056, 7139, 18, 1160, 37, 1565, 3512, 1516, 1094, 5958, 1305, 12788, 1048, 18904, 1213, 2790, 1009, 1044, 9381, 3746, 1147, 20, 14059, 80, 1330, 2339, 1118, 2143, 6079, 1516, 1094, 1910, 1129, 1896, 1048, 1836, 1054, 3902, 1009, 1044, 1049, 1348, 1009, 9134, 1068, 3419, 1533, 1108, 80, 16572, 1160, 6409, 1663, 2122, 3129, 2246, 1836, 1043, 10553, 12557, 1005, 6021, 11056, 1068, 14149, 1009, 2269, 1043, 1570, 162, 1377, 2494, 4180, 1006, 25995, 10279, 17689, 25031, 1049, 2671, 27225, 15, 12491, 1094, 6866, 1233, 11010, 7814, 1157, 1048, 1006, 11315, 4219, 12249, 7573, 1049, 31226, 1424, 1006, 2553, 1199, 1068, 2697, 1930, 1132, 10418, 18212, 14451, 1094, 6347, 1072, 2822, 1049, 3810, 12500, 1571, 1919, 1648, 32, 18227, 80, 3691, 1048, 1125, 1319, 3853, 4907, 1009, 14059, 80, 16572, 1496, 95, 1508, 4240, 1905, 23595, 27401, 1098, 2527, 1095, 1302, 1009, 1429, 1115, 1198, 17417, 1023, 13773, 4340, 1009, 4062, 4614, 20, 12797, 17529, 1223, 1170, 1572, 22783, 1242, 7474, 1580, 21026, 3998, 18, 2205, 10514, 4301, 1212, 1188, 1319, 2751, 3489, 1009, 2237, 21502, 32, 2955, 19935, 2491, 1009, 17529, 1223, 1209, 2291, 1554, 1535, 17529, 27702, 1216, 1014, 5920, 8112, 2315, 1026, 90, 1170, 10034, 7, 4093, 1124, 2725, 21638, 27811, 4477, 5696, 20567, 1623, 3394, 1100, 1551, 3349, 1155, 19918, 27718, 4648, 1358, 1100, 4333, 1319, 3445, 3504, 1319, 1026, 12429, 17648, 3769, 11097, 7503, 15482, 1699, 1063, 1222, 3694, 2955, 18438, 1223, 10788, 3512, 1067, 1997, 5280, 2605, 1155, 1226, 2844, 1008, 91, 3017, 16793, 6074, 5644, 1013, 26, 5812, 28625, 1024, 28625, 1024, 1118, 1898, 22063, 1907, 5, 5402, 2639, 4705, 30, 1783, 4793, 1412, 1989, 4861, 22086, 1727, 22086, 1727, 1067, 3257, 1024, 1082, 1438, 8108, 4229, 9864, 4229 ]

[ 1006, 5530, 6285, 1049, 8219, 6592, 1132, 17341, 11109, 2644, 1006, 1924, 2860, 1005, 1124, 4810, 11723, 1429, 1316, 1604, 1273, 6718, 1006, 1178, 1132, 3398, 15658, 2106, 11637, 1412, 1132, 15347, 1060, 25744, 1005, 25342, 11872, 1009, 8258, 5310, 1005, 3587, 1060, 9259, 1068, 6471, 1656, 3068, 3606, 1502, 1550, 4065, 3587, 1114, 1924, 2860, 1005, 1054, 30570, 1115, 1005, 20195, 1165, 1667, 6751, 1006, 2779, 1060, 1924, 2860, 1096, 4052, 16104, 26621, 1009, 11872, 19542, 1009, 1634, 6436, 1005, 29004, 22937, 11976, 10781, 10064, 19, 1103, 1423, 9378, 15022, 1026, 1172, 28131, 14358, 1005, 1026, 1504, 2758, 9144, 1505, 20356, 1096, 3707, 2808, 24365, 1172, 1917, 1093, 1005, 1372, 1022, 1907, 15967, 1728, 1766, 2025, 1423, 9378, 1048, 15022, 6546, 20263, 18643, 1046, 1132, 14936, 1187, 4810, 1172, 1917, 1093, 1005, 22743, 1049, 7118, 8144, 13677, 19, 1103, 1423, 27977, 3121, 1006, 6640, 1151, 3556, 1031, 1685, 1072, 1784, 1072, 1048, 1058, 5632, 1049, 3239, 1543, 1042, 2162, 1332, 18, 9480, 10826, 1004, 4892, 6049, 89, 1005, 18631, 1009, 6993, 2423, 1445, 1665, 1802, 17845, 31160, 1096, 1094, 3688, 1009, 3189, 1072, 1908, 5474, 20, 2611, 16673, 23771, 18, 1096, 1044, 8187, 1009, 1445, 1665, 75, 3201, 28873, 2691, 2179, 4650, 1156, 19935, 13257, 2020, 18060, 1004, 2918, 18, 1163, 1053, 1285, 1670, 10251, 1900, 3496, 1126, 2247, 1009, 2739, 21718, 5810, 1114, 1924, 13864, 30570, 1115, 1005, 20195, 3763, 28489, 6640, 1072, 1908, 2328, 1049, 2383, 1192, 20661, 1138, 13689, 2025, 1423, 2646, 1096, 27825, 1009, 21416, 1009, 25860, 1009, 2383, 1192, 1135, 1005, 1235, 1184, 2017, 26897, 1823, 1377, 1766, 13677, 19, 1103, 1423, 27977, 1054, 1224, 28892, 1327, 9626, 1708, 1049, 4865, 1423, 5120, 1847, 3948, 1009, 2754, 5944, 1342, 4650, 2271, 1006, 21842, 1495, 1006, 17440, 1148, 2893, 10681, 1148, 1049, 10711, 1060, 3836, 1049, 2709, 1571, 1026, 9180, 14190, 1526, 1096, 1026, 16672, 1006, 3364, 1187, 2025, 1423, 9378, 15042, 1026, 1968, 5624, 15172, 9180, 1493, 4114, 1072, 30802, 1802, 1063, 1924, 2860, 1005, 1132, 4810, 3825, 1429, 1316, 1604, 1010, 1009, 4397, 9288, 14360, 1094, 1271, 1184, 4412, 24121, 1009, 1968, 5624, 15172, 1006, 6974, 1271, 7816, 1242, 18141, 5048, 1, 2878, 81, 1153, 1096, 1094, 1641, 1049, 22135, 4725, 1114, 5704, 1009, 1073, 1146, 80, 1182, 25538, 1049, 22135, 1, 28417, 2162, 1182, 1019, 1096, 1094, 1641, 1049, 22135, 4725, 1114, 5704, 1009, 1073, 1146, 80, 1182, 25538, 1049, 22135, 1, 4006, 8355, 1358, 3998, 1096, 1094, 1641, 1049, 17538, 27207, 3861, 1060, 5704, 1009, 1163, 3094, 2459, 10590, 4725, 1114, 9130, 3821, 1049, 4489, 4206, 79, 25538, 1049, 23403, 1, 17873, 83, 1302, 12267, 4042, 87, 79, 1096, 1094, 1641, 1049, 23403, 4725, 1114, 5704, 1009, 1344, 1241, 4719, 25538, 1049, 23403, 1, 4223, 1029, 13, 24764, 19, 10397, 24072, 1206, 4223, 3691, 19, 79, 2494, 93, 4932, 1008, 2450, 1164, 32, 675, 478, 480, 475, 483, 675, 482, 484, 15, 1096, 1094, 1641, 1049, 23403, 4725, 1114, 5704, 1009, 12712, 8355, 3150, 4490, 2779, 1516, 9527, 1054, 1487, 3006, 4829, 29, 13409, 1054, 4265, 25538, 1049, 23403, 1, 675, 129, 84, 1549, 1096, 1026, 2277, 3077, 1009, 7420, 1060, 3688, 1009, 8948, 22689, 9692, 5621, 23408, 3126, 3941, 1054, 5203, 1009, 12042, 1061, 1054, 2128, 1009, 3042, 1009, 8163, 1005, 1054, 5203, 1009, 5804, 1287, 4580, 1054, 1083, 1009, 3268, 1009, 8163, 1357, 2079, 7724, 12669, 20, 1138, 3077, 1195, 12985, 1294, 22400, 31573, 12425, 18, 1054, 12795, 18, 1005, 2045, 1207, 4040, 18, 1054, 11631, 12795, 18, 1009, 8925, 1006, 22839, 1138, 5804, 1195, 8481, 1118, 5569, 1106, 6792, 22475, 1879, 3077, 8731, 1054, 1101, 117, 1114, 12398, 1360, 1986, 1235, 4711, 23724, 20295, 2322, 30, 1910, 11925, 1054, 1224, 1944, 15235, 3126, 12221, 1043, 4488, 12679, 31678, 1357, 1123, 3726, 39, 1054, 1422, 1009, 3261, 1009, 22564, 1138, 3077, 7981, 1054, 2754, 14883, 1187, 3460, 11451, 1009, 14835, 2966, 1124, 14830, 28769, 5854, 7, 1005, 4789, 88, 4142, 2652, 1063, 6116, 1150, 129, 84, 1530, 8, 3661, 1026, 6859, 20741, 1009, 6195, 27998, 1009, 17969, 1054, 24468, 1482, 11210, 675, 129, 84, 1549, 1195, 14081, 1159, 1026, 16925, 3077, 1184, 28419, 1009, 1664, 1132, 5635, 1357, 28769, 5854, 7, 20, 1063, 24851, 19671, 6344, 1079, 1026, 3077, 1072, 1578, 0, 2269, 1114, 2919, 1187, 3114, 3460, 11451, 1009, 8948, 1009, 1664, 1132, 5635, 2474, 2675, 2335, 1257, 129, 84, 1549, 1195, 1026, 1831, 3077, 1009, 7420, 1049, 5621, 1078, 1043, 1026, 4472, 13094, 1291, 1060, 3688, 2929, 2450, 18, 20150, 1574, 1662, 2057, 1017, 1879, 3479, 675, 129, 84, 1549, 1096, 1094, 9546, 1271, 2880, 1150, 1056, 1549, 1406, 11419, 1726, 10027, 1009, 1150, 1296, 1231, 15262, 8, 1005, 1044, 5497, 7080, 3778, 1356, 28227, 1007, 9129, 20916, 33, 1005, 30911, 1530, 1406, 1026, 9271, 6023, 1048, 8981, 1006, 24048, 1009, 4007, 1402, 1072, 1057, 1164, 3313, 12949, 16877, 1918, 1596, 1942, 2585, 1054, 4272, 1009, 22435, 1068, 22088, 2970, 76, 1105, 1406, 7233, 20, 1406, 1150, 129, 84, 1530, 8, 1005, 5707, 1997, 95, 1067, 1483, 1283, 1101, 1406, 1043, 1657, 1026, 1831, 1005, 5064, 8723, 8578, 10795, 5048, 30395, 1271, 6258, 1327, 30607, 1009, 1957, 82, 175, 9516, 1048, 1058, 5808, 1046, 1006, 6258, 1184, 7033, 1273, 12385, 1006, 9178, 3225, 1049, 6612, 1072, 6460, 1009, 5884, 17031, 10497, 1957, 82, 175, 9516, 1327, 1150, 16165, 13185, 1156, 2715, 90, 1406, 4049, 8850, 2604, 13508, 2878, 5106, 1406, 1150, 5359, 6410, 8687, 1406, 4954, 1434, 1084, 3448, 9614, 10890, 1056, 1406, 3730, 1018, 2564, 11651, 83, 8391, 2498, 8, 1005, 29470, 19, 15, 1156, 3020, 8, 18546, 13497, 12776, 1124, 9099, 20214, 1118, 8503, 84, 1528, 6669, 9947, 1051, 11095, 13044, 1124, 6258, 21646, 1118, 11903, 9982, 1400, 30584, 16334, 2196, 1005, 20150, 1574, 1662, 2057, 2212, 10868, 1571, 21392, 1069, 3482, 1046, 15805, 1898, 3125, 6525, 1207, 23765, 0, 19, 12480, 3778, 1054, 3598, 78, 13103, 1084, 10397, 8, 1567, 22220, 5424, 23720, 1537, 8503, 84, 1528, 6669, 9947, 1051, 1056, 1175, 13944, 5, 11903, 14078, 1175, 12182, 5, 20150, 1574, 1662, 2057, 1017, 1175, 4885, 5, 30584, 16334, 95, 1175, 30633, 5734, 2789, 1627, 21569, 15805, 5424, 23720, 8008, 1257, 8904, 85, 14074, 0, 620, 13944, 1054, 4954, 1434, 1084, 3448, 9614, 10890, 1056, 2659, 1084, 17098, 4568, 29792, 0, 620, 3666, 1027, 1054, 1150, 5359, 6410, 8687, 2659, 12383, 18328, 1736, 0, 620, 20514, 16634, 1054, 3598, 78, 13103, 1084, 10397, 2659, 5569, 1106, 6792, 22475, 0, 620, 11639, 1005, 18345, 1054, 4049, 8850, 2604, 13508, 2878, 5106, 8, 3160, 12006, 1257, 5569, 1106, 6792, 22475, 0, 620, 20781, 2585, 15103, 5779, 3478, 15689, 1416, 5, 1387, 1685, 4611, 1021, 0, 620, 2550, 19347, 1017, 3277, 1291, 1308, 1983, 1009, 8485, 0, 620, 12939, 7813, 1582, 1009, 6687, 5, 9535, 7646, 4815, 57, 1388, 0, 620, 10373, 1411, 12590, 1009, 12337, 5, 1163, 1302, 10846, 14074, 0, 620, 10893, 1009, 4954, 1434, 1084, 3448, 9614, 10890, 1056, 2659, 11903, 14078, 0, 620, 15103, 4188, 1009, 3374, 5, 26232, 95, 1163, 3783, 1385, 93, 0, 620, 12590, 1009, 30114, 5, 5774, 22147, 10192, 2701, 1019, 0, 620, 1949, 2212, 3725, 5, 23671, 1207, 8714, 31997, 0, 620, 6304, 1009, 7073, 2339, 6304, 1009, 1538, 2099, 2604, 12092, 8325, 12187, 2228, 1965, 0, 620, 12337, 5, 8904, 1123, 6575, 1241, 1997, 0, 620, 17870, 1009, 5726, 5, 9947, 3664, 3968, 1020, 0, 620, 3374, 5, 18050, 3968, 1020, 0, 620, 1949, 2212, 4188, 1009, 12939, 12508, 5, 24655, 8719, 1617, 5, 1344, 10216, 2605, 1081, 8652, 2905, 1110, 6804, 1036, 30750, 2965, 1396, 5775, 1537, 7046, 1009, 5621, 1078, 10742, 1009, 8163, 10742, 15542, 1049, 20741, 11563, 1, 17367, 10935, 16052, 4116, 18005, 1096, 1026, 12035, 3077, 1213, 5595, 1060, 7197, 1009, 7204, 5092, 17367, 2152, 1802, 3126, 12985, 1072, 10721, 1431, 2059, 1054, 1764, 4989, 1294, 2250, 3727, 1005, 3734, 1009, 3383, 1009, 10131, 1005, 8481, 1068, 1006, 2700, 1009, 1592, 1720, 25479, 1357, 16052, 6220, 1138, 2743, 1096, 19427, 1009, 1044, 6612, 18, 1044, 10276, 1005, 1044, 2127, 11662, 1357, 16052, 1054, 2523, 1009, 3049, 1049, 1592, 7313, 6062, 2127, 1195, 6934, 1294, 22148, 1060, 9345, 1009, 1106, 3691, 2174, 71, 3426, 1048, 17367, 15622, 3748, 1114, 4180, 14592, 19416, 3705, 20345, 1049, 2127, 21548, 1393, 17521, 7739, 1043, 17521, 1494, 4837, 1309, 3312, 1034, 1318, 2350, 8804, 1048, 1160, 5588, 9069, 9701, 1009, 1123, 5602, 1159, 14193, 6062, 2742, 1009, 3769, 1295, 3275, 6351, 1005, 6459, 1020, 2725, 11234, 1219, 2223, 30854, 6660, 1318, 2156, 8804, 11889, 1907, 1048, 1160, 7444, 2281, 17900, 1114, 9345, 32, 12078, 1134, 2037, 1048, 10558, 1006, 5187, 1009, 6730, 1005, 19154, 12326, 1627, 1094, 7419, 1233, 18722, 13397, 1126, 1005, 1048, 1998, 1596, 4551, 1312, 1213, 5595, 1072, 1531, 1060, 2635, 3803, 1705, 1585, 1907, 1054, 6612, 18, 5754, 1566, 17900, 1054, 22148, 22465, 2829, 1124, 7707, 2654, 12331, 4150, 27182, 1599, 3069, 1054, 4894, 1009, 9788, 1313, 18060, 3788, 27182, 10823, 1406, 1187, 7438, 30861, 1005, 3735, 2654, 2899, 9663, 2402, 21307, 8145, 1156, 1603, 75, 4608, 15, 18546, 4276, 1193, 1170, 16153, 6258, 2034, 1082, 1342, 1009, 18791, 1005, 2878, 1034, 1009, 3713, 1318, 1596, 4551, 1312, 1072, 1531, 1049, 28561, 5754, 1160, 1596, 25130, 3048, 1054, 6612, 1005, 3048, 1054, 10276, 11402, 16996, 1347, 1257, 17367, 10935, 12674, 22667, 27945, 2994, 1005, 12182, 5, 8291, 1009, 11369, 12674, 4188, 22260, 12182, 1005, 8808, 5, 1106, 2526, 10935, 12674, 12182, 1005, 8808, 5, 1119, 20065, 11369, 12674, 4885, 1005, 8808, 5, 1594, 95, 10821, 12674, 30114, 5, 20712, 5296, 1526, 12674, 9371, 5, 12083, 4091, 1509, 1078, 12674, 18345, 1005, 8808, 5, 22458, 28676, 12674, 1710, 6036, 27945, 21153, 9163, 1497, 1005, 8808, 5, 29273, 4544, 15056, 12674, 8808, 17566, 1009, 17367, 10935, 10742, 1213, 5595, 1009, 4864, 10742, 1054, 4397, 7512, 10742, 1049, 16052, 1213, 18005, 1, 6916, 29344, 19344, 1009, 6850, 1675, 1009, 3042, 1009, 3310, 6456, 1096, 1044, 26826, 31888, 3382, 4148, 18, 8271, 1005, 23614, 4011, 1427, 2408, 1213, 5428, 24732, 1060, 6320, 5170, 19903, 2428, 1565, 0, 30818, 1379, 1026, 0, 17201, 1187, 4158, 1573, 1005, 8001, 1391, 1054, 2538, 1095, 12028, 1009, 23527, 1121, 1049, 2956, 1049, 2293, 1009, 3030, 2794, 10823, 12565, 22473, 1118, 2848, 4118, 1065, 1554, 4738, 71, 1072, 4241, 14871, 1837, 9683, 1005, 1225, 4680, 3513, 1114, 2236, 1009, 2706, 13231, 4987, 11381, 9823, 15833, 1814, 1060, 20059, 1009, 2573, 22781, 2487, 4391, 19575, 5489, 3888, 1009, 1205, 1265, 1079, 4525, 1005, 1049, 1449, 22216, 1291, 18616, 19575, 5489, 6916, 29344, 5857, 1213, 1784, 2691, 6000, 1009, 1224, 1801, 12759, 1006, 1386, 1239, 26547, 13811, 20, 7141, 1079, 1006, 9850, 1294, 12576, 1009, 1764, 24726, 9975, 1005, 1062, 2118, 92, 7117, 16366, 2739, 8272, 32, 1118, 3971, 1009, 4034, 1060, 10465, 2392, 1393, 1288, 3357, 1009, 1064, 2961, 1024, 1342, 1005, 5227, 1393, 4128, 1016, 27661, 16947, 1114, 30504, 27824, 6570, 4195, 7687, 1159, 17786, 1348, 1054, 1094, 10314, 1009, 21210, 1072, 5603, 1128, 1199, 2051, 20, 3126, 1318, 5645, 4180, 1048, 2845, 1006, 31196, 1026, 1784, 1049, 25625, 1126, 2691, 6000, 1009, 1224, 23223, 3759, 24474, 1207, 1421, 11790, 16515, 1060, 5411, 1009, 25748, 2365, 1060, 3619, 7149, 1009, 1972, 1196, 1009, 4782, 1728, 1424, 1006, 15364, 1009, 1456, 4090, 1005, 1006, 3248, 1009, 1224, 23223, 3759, 24474, 10857, 1371, 0, 1068, 1026, 7341, 1683, 2629, 1304, 1060, 1163, 150, 1167, 1126, 1571, 5103, 1006, 6313, 1043, 1224, 27396, 14351, 1578, 2864, 1155, 1291, 1371, 1213, 7783, 2170, 1072, 13565, 1049, 3159, 19232, 22722, 1026, 18173, 1009, 7797, 1243, 30049, 1291, 8385, 2922, 1233, 1834, 6451, 20, 6916, 29344, 5090, 1006, 4524, 1072, 3117, 19870, 1685, 2981, 30489, 1159, 7797, 1243, 25139, 3617, 2858, 7176, 1048, 2080, 1461, 1006, 1224, 1834, 32, 1213, 9035, 1679, 19153, 1009, 3056, 14196, 1673, 21890, 1026, 14950, 1058, 2232, 3912, 1356, 7154, 1005, 1058, 20779, 1814, 1072, 9016, 82, 2270, 1482, 17838, 6559, 1043, 1006, 5710, 2373, 29772, 1784, 3192, 1058, 5510, 4324, 1043, 4188, 1009, 3512, 17651, 8319, 2270, 12539, 1646, 5738, 14930, 1049, 4316, 11939, 1009, 5027, 1060, 4630, 2769, 1187, 7906, 1708, 2663, 15240, 21, 5703, 26446, 23250, 1224, 6280, 1009, 4480, 1006, 2706, 1726, 9694, 2444, 12219, 73, 7823, 3126, 1318, 1118, 1989, 20928, 1048, 1264, 1058, 2521, 3863, 1114, 4173, 1049, 10949, 6969, 1005, 1049, 5549, 31150, 1563, 12432, 1026, 7838, 19232, 6916, 19575, 5489, 1054, 5966, 1043, 8485 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5530, 6285, 1049, 8219, 6592, 1132, 17341, 11109, 2644, 1006, 1924, 2860, 1005, 1124, 4810, 11723, 1429, 1316, 1604, 1273, 6718, 1006, 1178, 1132, 3398, 15658, 2106, 11637, 1412, 1132, 15347, 1060, 25744, 1005, 25342, 11872, 1009, 8258, 5310, 1005, 3587, 1060, 9259, 1068, 6471, 1656, 3068, 3606, 1502, 1550, 4065, 3587, 1114, 1924, 2860, 1005, 1054, 30570, 1115, 1005, 20195, 1165, 1667, 6751, 1006, 2779, 1060, 1924, 2860, 1096, 4052, 16104, 26621, 1009, 11872, 19542, 1009, 1634, 6436, 1005, 29004, 22937, 11976, 10781, 10064, 19, 1103, 1423, 9378, 15022, 1026, 1172, 28131, 14358, 1005, 1026, 1504, 2758, 9144, 1505, 20356, 1096, 3707, 2808, 24365, 1172, 1917, 1093, 1005, 1372, 1022, 1907, 15967, 1728, 1766, 2025, 1423, 9378, 1048, 15022, 6546, 20263, 18643, 1046, 1132, 14936, 1187, 4810, 1172, 1917, 1093, 1005, 22743, 1049, 7118, 8144, 13677, 19, 1103, 1423, 27977, 3121, 1006, 6640, 1151, 3556, 1031, 1685, 1072, 1784, 1072, 1048, 1058, 5632, 1049, 3239, 1543, 1042, 2162, 1332, 18, 9480, 10826, 1004, 4892, 6049, 89, 1005, 18631, 1009, 6993, 2423, 1445, 1665, 1802, 17845, 31160, 1096, 1094, 3688, 1009, 3189, 1072, 1908, 5474, 20, 2611, 16673, 23771, 18, 1096, 1044, 8187, 1009, 1445, 1665, 75, 3201, 28873, 2691, 2179, 4650, 1156, 19935, 13257, 2020, 18060, 1004, 2918, 18, 1163, 1053, 1285, 1670, 10251, 1900, 3496, 1126, 2247, 1009, 2739, 21718, 5810, 1114, 1924, 13864, 30570, 1115, 1005, 20195, 3763, 28489, 6640, 1072, 1908, 2328, 1049, 2383, 1192, 20661, 1138, 13689, 2025, 1423, 2646, 1096, 27825, 1009, 21416, 1009, 25860, 1009, 2383, 1192, 1135, 1005, 1235, 1184, 2017, 26897, 1823, 1377, 1766, 13677, 19, 1103, 1423, 27977, 1054, 1224, 28892, 1327, 9626, 1708, 1049, 4865, 1423, 5120, 1847, 3948, 1009, 2754, 5944, 1342, 4650, 2271, 1006, 21842, 1495, 1006, 17440, 1148, 2893, 10681, 1148, 1049, 10711, 1060, 3836, 1049, 2709, 1571, 1026, 9180, 14190, 1526, 1096, 1026, 16672, 1006, 3364, 1187, 2025, 1423, 9378, 15042, 1026, 1968, 5624, 15172, 9180, 1493, 4114, 1072, 30802, 1802, 1063, 1924, 2860, 1005, 1132, 4810, 3825, 1429, 1316, 1604, 1010, 1009, 4397, 9288, 14360, 1094, 1271, 1184, 4412, 24121, 1009, 1968, 5624, 15172, 1006, 6974, 1271, 7816, 1242, 18141, 5048, 1, 2878, 81, 1153, 1096, 1094, 1641, 1049, 22135, 4725, 1114, 5704, 1009, 1073, 1146, 80, 1182, 25538, 1049, 22135, 1, 28417, 2162, 1182, 1019, 1096, 1094, 1641, 1049, 22135, 4725, 1114, 5704, 1009, 1073, 1146, 80, 1182, 25538, 1049, 22135, 1, 4006, 8355, 1358, 3998, 1096, 1094, 1641, 1049, 17538, 27207, 3861, 1060, 5704, 1009, 1163, 3094, 2459, 10590, 4725, 1114, 9130, 3821, 1049, 4489, 4206, 79, 25538, 1049, 23403, 1, 17873, 83, 1302, 12267, 4042, 87, 79, 1096, 1094, 1641, 1049, 23403, 4725, 1114, 5704, 1009, 1344, 1241, 4719, 25538, 1049, 23403, 1, 4223, 1029, 13, 24764, 19, 10397, 24072, 1206, 4223, 3691, 19, 79, 2494, 93, 4932, 1008, 2450, 1164, 32, 675, 478, 480, 475, 483, 675, 482, 484, 15, 1096, 1094, 1641, 1049, 23403, 4725, 1114, 5704, 1009, 12712, 8355, 3150, 4490, 2779, 1516, 9527, 1054, 1487, 3006, 4829, 29, 13409, 1054, 4265, 25538, 1049, 23403, 1, 675, 129, 84, 1549, 1096, 1026, 2277, 3077, 1009, 7420, 1060, 3688, 1009, 8948, 22689, 9692, 5621, 23408, 3126, 3941, 1054, 5203, 1009, 12042, 1061, 1054, 2128, 1009, 3042, 1009, 8163, 1005, 1054, 5203, 1009, 5804, 1287, 4580, 1054, 1083, 1009, 3268, 1009, 8163, 1357, 2079, 7724, 12669, 20, 1138, 3077, 1195, 12985, 1294, 22400, 31573, 12425, 18, 1054, 12795, 18, 1005, 2045, 1207, 4040, 18, 1054, 11631, 12795, 18, 1009, 8925, 1006, 22839, 1138, 5804, 1195, 8481, 1118, 5569, 1106, 6792, 22475, 1879, 3077, 8731, 1054, 1101, 117, 1114, 12398, 1360, 1986, 1235, 4711, 23724, 20295, 2322, 30, 1910, 11925, 1054, 1224, 1944, 15235, 3126, 12221, 1043, 4488, 12679, 31678, 1357, 1123, 3726, 39, 1054, 1422, 1009, 3261, 1009, 22564, 1138, 3077, 7981, 1054, 2754, 14883, 1187, 3460, 11451, 1009, 14835, 2966, 1124, 14830, 28769, 5854, 7, 1005, 4789, 88, 4142, 2652, 1063, 6116, 1150, 129, 84, 1530, 8, 3661, 1026, 6859, 20741, 1009, 6195, 27998, 1009, 17969, 1054, 24468, 1482, 11210, 675, 129, 84, 1549, 1195, 14081, 1159, 1026, 16925, 3077, 1184, 28419, 1009, 1664, 1132, 5635, 1357, 28769, 5854, 7, 20, 1063, 24851, 19671, 6344, 1079, 1026, 3077, 1072, 1578, 0, 2269, 1114, 2919, 1187, 3114, 3460, 11451, 1009, 8948, 1009, 1664, 1132, 5635, 2474, 2675, 2335, 1257, 129, 84, 1549, 1195, 1026, 1831, 3077, 1009, 7420, 1049, 5621, 1078, 1043, 1026, 4472, 13094, 1291, 1060, 3688, 2929, 2450, 18, 20150, 1574, 1662, 2057, 1017, 1879, 3479, 675, 129, 84, 1549, 1096, 1094, 9546, 1271, 2880, 1150, 1056, 1549, 1406, 11419, 1726, 10027, 1009, 1150, 1296, 1231, 15262, 8, 1005, 1044, 5497, 7080, 3778, 1356, 28227, 1007, 9129, 20916, 33, 1005, 30911, 1530, 1406, 1026, 9271, 6023, 1048, 8981, 1006, 24048, 1009, 4007, 1402, 1072, 1057, 1164, 3313, 12949, 16877, 1918, 1596, 1942, 2585, 1054, 4272, 1009, 22435, 1068, 22088, 2970, 76, 1105, 1406, 7233, 20, 1406, 1150, 129, 84, 1530, 8, 1005, 5707, 1997, 95, 1067, 1483, 1283, 1101, 1406, 1043, 1657, 1026, 1831, 1005, 5064, 8723, 8578, 10795, 5048, 30395, 1271, 6258, 1327, 30607, 1009, 1957, 82, 175, 9516, 1048, 1058, 5808, 1046, 1006, 6258, 1184, 7033, 1273, 12385, 1006, 9178, 3225, 1049, 6612, 1072, 6460, 1009, 5884, 17031, 10497, 1957, 82, 175, 9516, 1327, 1150, 16165, 13185, 1156, 2715, 90, 1406, 4049, 8850, 2604, 13508, 2878, 5106, 1406, 1150, 5359, 6410, 8687, 1406, 4954, 1434, 1084, 3448, 9614, 10890, 1056, 1406, 3730, 1018, 2564, 11651, 83, 8391, 2498, 8, 1005, 29470, 19, 15, 1156, 3020, 8, 18546, 13497, 12776, 1124, 9099, 20214, 1118, 8503, 84, 1528, 6669, 9947, 1051, 11095, 13044, 1124, 6258, 21646, 1118, 11903, 9982, 1400, 30584, 16334, 2196, 1005, 20150, 1574, 1662, 2057, 2212, 10868, 1571, 21392, 1069, 3482, 1046, 15805, 1898, 3125, 6525, 1207, 23765, 0, 19, 12480, 3778, 1054, 3598, 78, 13103, 1084, 10397, 8, 1567, 22220, 5424, 23720, 1537, 8503, 84, 1528, 6669, 9947, 1051, 1056, 1175, 13944, 5, 11903, 14078, 1175, 12182, 5, 20150, 1574, 1662, 2057, 1017, 1175, 4885, 5, 30584, 16334, 95, 1175, 30633, 5734, 2789, 1627, 21569, 15805, 5424, 23720, 8008, 1257, 8904, 85, 14074, 0, 620, 13944, 1054, 4954, 1434, 1084, 3448, 9614, 10890, 1056, 2659, 1084, 17098, 4568, 29792, 0, 620, 3666, 1027, 1054, 1150, 5359, 6410, 8687, 2659, 12383, 18328, 1736, 0, 620, 20514, 16634, 1054, 3598, 78, 13103, 1084, 10397, 2659, 5569, 1106, 6792, 22475, 0, 620, 11639, 1005, 18345, 1054, 4049, 8850, 2604, 13508, 2878, 5106, 8, 3160, 12006, 1257, 5569, 1106, 6792, 22475, 0, 620, 20781, 2585, 15103, 5779, 3478, 15689, 1416, 5, 1387, 1685, 4611, 1021, 0, 620, 2550, 19347, 1017, 3277, 1291, 1308, 1983, 1009, 8485, 0, 620, 12939, 7813, 1582, 1009, 6687, 5, 9535, 7646, 4815, 57, 1388, 0, 620, 10373, 1411, 12590, 1009, 12337, 5, 1163, 1302, 10846, 14074, 0, 620, 10893, 1009, 4954, 1434, 1084, 3448, 9614, 10890, 1056, 2659, 11903, 14078, 0, 620, 15103, 4188, 1009, 3374, 5, 26232, 95, 1163, 3783, 1385, 93, 0, 620, 12590, 1009, 30114, 5, 5774, 22147, 10192, 2701, 1019, 0, 620, 1949, 2212, 3725, 5, 23671, 1207, 8714, 31997, 0, 620, 6304, 1009, 7073, 2339, 6304, 1009, 1538, 2099, 2604, 12092, 8325, 12187, 2228, 1965, 0, 620, 12337, 5, 8904, 1123, 6575, 1241, 1997, 0, 620, 17870, 1009, 5726, 5, 9947, 3664, 3968, 1020, 0, 620, 3374, 5, 18050, 3968, 1020, 0, 620, 1949, 2212, 4188, 1009, 12939, 12508, 5, 24655, 8719, 1617, 5, 1344, 10216, 2605, 1081, 8652, 2905, 1110, 6804, 1036, 30750, 2965, 1396, 5775, 1537, 7046, 1009, 5621, 1078, 10742, 1009, 8163, 10742, 15542, 1049, 20741, 11563, 1, 17367, 10935, 16052, 4116, 18005, 1096, 1026, 12035, 3077, 1213, 5595, 1060, 7197, 1009, 7204, 5092, 17367, 2152, 1802, 3126, 12985, 1072, 10721, 1431, 2059, 1054, 1764, 4989, 1294, 2250, 3727, 1005, 3734, 1009, 3383, 1009, 10131, 1005, 8481, 1068, 1006, 2700, 1009, 1592, 1720, 25479, 1357, 16052, 6220, 1138, 2743, 1096, 19427, 1009, 1044, 6612, 18, 1044, 10276, 1005, 1044, 2127, 11662, 1357, 16052, 1054, 2523, 1009, 3049, 1049, 1592, 7313, 6062, 2127, 1195, 6934, 1294, 22148, 1060, 9345, 1009, 1106, 3691, 2174, 71, 3426, 1048, 17367, 15622, 3748, 1114, 4180, 14592, 19416, 3705, 20345, 1049, 2127, 21548, 1393, 17521, 7739, 1043, 17521, 1494, 4837, 1309, 3312, 1034, 1318, 2350, 8804, 1048, 1160, 5588, 9069, 9701, 1009, 1123, 5602, 1159, 14193, 6062, 2742, 1009, 3769, 1295, 3275, 6351, 1005, 6459, 1020, 2725, 11234, 1219, 2223, 30854, 6660, 1318, 2156, 8804, 11889, 1907, 1048, 1160, 7444, 2281, 17900, 1114, 9345, 32, 12078, 1134, 2037, 1048, 10558, 1006, 5187, 1009, 6730, 1005, 19154, 12326, 1627, 1094, 7419, 1233, 18722, 13397, 1126, 1005, 1048, 1998, 1596, 4551, 1312, 1213, 5595, 1072, 1531, 1060, 2635, 3803, 1705, 1585, 1907, 1054, 6612, 18, 5754, 1566, 17900, 1054, 22148, 22465, 2829, 1124, 7707, 2654, 12331, 4150, 27182, 1599, 3069, 1054, 4894, 1009, 9788, 1313, 18060, 3788, 27182, 10823, 1406, 1187, 7438, 30861, 1005, 3735, 2654, 2899, 9663, 2402, 21307, 8145, 1156, 1603, 75, 4608, 15, 18546, 4276, 1193, 1170, 16153, 6258, 2034, 1082, 1342, 1009, 18791, 1005, 2878, 1034, 1009, 3713, 1318, 1596, 4551, 1312, 1072, 1531, 1049, 28561, 5754, 1160, 1596, 25130, 3048, 1054, 6612, 1005, 3048, 1054, 10276, 11402, 16996, 1347, 1257, 17367, 10935, 12674, 22667, 27945, 2994, 1005, 12182, 5, 8291, 1009, 11369, 12674, 4188, 22260, 12182, 1005, 8808, 5, 1106, 2526, 10935, 12674, 12182, 1005, 8808, 5, 1119, 20065, 11369, 12674, 4885, 1005, 8808, 5, 1594, 95, 10821, 12674, 30114, 5, 20712, 5296, 1526, 12674, 9371, 5, 12083, 4091, 1509, 1078, 12674, 18345, 1005, 8808, 5, 22458, 28676, 12674, 1710, 6036, 27945, 21153, 9163, 1497, 1005, 8808, 5, 29273, 4544, 15056, 12674, 8808, 17566, 1009, 17367, 10935, 10742, 1213, 5595, 1009, 4864, 10742, 1054, 4397, 7512, 10742, 1049, 16052, 1213, 18005, 1, 6916, 29344, 19344, 1009, 6850, 1675, 1009, 3042, 1009, 3310, 6456, 1096, 1044, 26826, 31888, 3382, 4148, 18, 8271, 1005, 23614, 4011, 1427, 2408, 1213, 5428, 24732, 1060, 6320, 5170, 19903, 2428, 1565, 0, 30818, 1379, 1026, 0, 17201, 1187, 4158, 1573, 1005, 8001, 1391, 1054, 2538, 1095, 12028, 1009, 23527, 1121, 1049, 2956, 1049, 2293, 1009, 3030, 2794, 10823, 12565, 22473, 1118, 2848, 4118, 1065, 1554, 4738, 71, 1072, 4241, 14871, 1837, 9683, 1005, 1225, 4680, 3513, 1114, 2236, 1009, 2706, 13231, 4987, 11381, 9823, 15833, 1814, 1060, 20059, 1009, 2573, 22781, 2487, 4391, 19575, 5489, 3888, 1009, 1205, 1265, 1079, 4525, 1005, 1049, 1449, 22216, 1291, 18616, 19575, 5489, 6916, 29344, 5857, 1213, 1784, 2691, 6000, 1009, 1224, 1801, 12759, 1006, 1386, 1239, 26547, 13811, 20, 7141, 1079, 1006, 9850, 1294, 12576, 1009, 1764, 24726, 9975, 1005, 1062, 2118, 92, 7117, 16366, 2739, 8272, 32, 1118, 3971, 1009, 4034, 1060, 10465, 2392, 1393, 1288, 3357, 1009, 1064, 2961, 1024, 1342, 1005, 5227, 1393, 4128, 1016, 27661, 16947, 1114, 30504, 27824, 6570, 4195, 7687, 1159, 17786, 1348, 1054, 1094, 10314, 1009, 21210, 1072, 5603, 1128, 1199, 2051, 20, 3126, 1318, 5645, 4180, 1048, 2845, 1006, 31196, 1026, 1784, 1049, 25625, 1126, 2691, 6000, 1009, 1224, 23223, 3759, 24474, 1207, 1421, 11790, 16515, 1060, 5411, 1009, 25748, 2365, 1060, 3619, 7149, 1009, 1972, 1196, 1009, 4782, 1728, 1424, 1006, 15364, 1009, 1456, 4090, 1005, 1006, 3248, 1009, 1224, 23223, 3759, 24474, 10857, 1371, 0, 1068, 1026, 7341, 1683, 2629, 1304, 1060, 1163, 150, 1167, 1126, 1571, 5103, 1006, 6313, 1043, 1224, 27396, 14351, 1578, 2864, 1155, 1291, 1371, 1213, 7783, 2170, 1072, 13565, 1049, 3159, 19232, 22722, 1026, 18173, 1009, 7797, 1243, 30049, 1291, 8385, 2922, 1233, 1834, 6451, 20, 6916, 29344, 5090, 1006, 4524, 1072, 3117, 19870, 1685, 2981, 30489, 1159, 7797, 1243, 25139, 3617, 2858, 7176, 1048, 2080, 1461, 1006, 1224, 1834, 32, 1213, 9035, 1679, 19153, 1009, 3056, 14196, 1673, 21890, 1026, 14950, 1058, 2232, 3912, 1356, 7154, 1005, 1058, 20779, 1814, 1072, 9016, 82, 2270, 1482, 17838, 6559, 1043, 1006, 5710, 2373, 29772, 1784, 3192, 1058, 5510, 4324, 1043, 4188, 1009, 3512, 17651, 8319, 2270, 12539, 1646, 5738, 14930, 1049, 4316, 11939, 1009, 5027, 1060, 4630, 2769, 1187, 7906, 1708, 2663, 15240, 21, 5703, 26446, 23250, 1224, 6280, 1009, 4480, 1006, 2706, 1726, 9694, 2444, 12219, 73, 7823, 3126, 1318, 1118, 1989, 20928, 1048, 1264, 1058, 2521, 3863, 1114, 4173, 1049, 10949, 6969, 1005, 1049, 5549, 31150, 1563, 12432, 1026, 7838, 19232, 6916, 19575, 5489, 1054, 5966, 1043, 8485 ]