Datasets:
manu
/
tok_dataset_1_newtok

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
37
2.05k
attention_mask
sequencelengths
37
2.05k
labels
sequencelengths
37
2.05k
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 6171, 3225, 1109, 17574, 1706, 1175, 124, 132, 124, 126, 120, 125, 123, 123, 125, 116, 1463, 1151, 4950, 6517, 1146, 13808, 15441, 1852, 1224, 4834, 1171, 9544, 14105, 1171, 1135, 11080, 1121, 1161, 1110, 8717, 4676, 2935, 1226, 1135, 1125, 2564, 5388, 1296, 1135, 12047, 2708, 1105, 1320, 1146, 10053, 106, 106, 141, 180, 11114, 106, 157, 31326, 3225, 1109, 17574, 1706, 1463, 9204, 1147, 1539, 4782, 1347, 1965, 1350, 29682, 1137, 1810, 1110, 8046, 6289, 1135, 28634, 11126, 8452, 1147, 2068, 177, 4937, 172, 21705, 1238, 7286, 488, 125, 123, 119, 488, 124, 132, 124, 126, 121, 2133, 18850, 1110, 10882, 6687, 1147, 7546, 23652, 3750, 1446, 1135, 4017, 1161, 1350, 29682, 10778, 1147, 488, 124, 132, 126, 127, 119, 11179, 1449, 1151, 3341, 6687, 1446, 1135, 4017, 1161, 1350, 29682, 10778, 1147, 488, 124, 132, 126, 130, 121, 1459, 488, 124, 132, 127, 123, 119, 17574, 1706, 18850, 1110, 2708, 25426, 1147, 6517, 3674, 1171, 12097, 2406, 23652, 3750, 1446, 1135, 4017, 1161, 12988, 1355, 1192, 1502, 2982, 1324, 1765, 1181, 11323, 24170, 6679, 3743, 13401, 10935, 2443, 1321, 1791, 2758, 7752, 488, 124, 132, 126, 128, 1163, 488, 124, 132, 127, 128, 119, 9595, 17574, 1706, 20160, 6517, 17354, 2406, 1122, 9092, 1285, 1171, 12370, 3674, 1355, 5922, 193, 4748, 21159, 1269, 9591, 4741, 1171, 30211, 11631, 10585, 106, 106, 1428, 488, 124, 132, 128, 132, 119, 17574, 1706, 7905, 1135, 12384, 1161, 1135, 6815, 1107, 11942, 13897, 1355, 1135, 4909, 6716, 9968, 1161, 20123, 2392, 9068, 1147, 1413, 25772, 2470, 5664, 7534, 1135, 14637, 1161, 19382, 3595, 1130, 9168, 4419, 1246, 19382, 3595, 1130, 4017, 1496, 1386, 1463, 20108, 1242, 1156, 1163, 9686, 1302, 2481, 1125, 2564, 12315, 2055, 8895, 11753, 5734, 8767, 3875, 28280, 1459, 488, 124, 132, 129, 128, 119, 17574, 1706, 16571, 1110, 3620, 1296, 19195, 6654, 1161, 8281, 5445, 1678, 31475, 1355, 19382, 3595, 4746, 3730, 119, 1386, 8794, 1110, 1747, 1105, 1320, 1146, 2935, 8113, 8271, 1135, 6938, 6401, 1904, 31521, 7181, 2095, 24778, 1310, 5653, 1163, 2661, 1324, 1135, 8717, 4676, 1161, 1125, 2564, 5429, 1297, 2133, 4494, 1413, 2935, 1135, 12047, 2708, 1105, 1320, 1146, 10053, 106, 106, 142, 2589, 1706, 1361, 24177, 1147, 488, 124, 132, 129, 129, 13032, 1806, 1110, 1624, 4812, 1226, 1135, 9247, 1161, 1135, 1125, 2564, 121, 7013, 12047, 2708, 1105, 1320, 1146, 5286, 1239, 4558, 1238, 1135, 13286, 1552, 1302, 1411, 1543, 17830, 1161, 1499, 3890, 6401, 1526, 1280, 13468, 29979, 1589, 2884, 3425, 2267, 1446, 1135, 29616, 1361, 22174, 1285, 1135, 4348, 1161, 17057, 2098, 3971, 1110, 6401, 3120, 1147, 1135, 2994, 2659, 1296, 1110, 17057, 30316, 1663, 3068, 1789, 8343, 7181, 2095, 24778, 22075, 14303, 1135, 16462, 17574, 1706, 16787, 133, 6679, 2935, 8436, 1135, 11685, 9000, 1161, 14356, 1163, 1191, 11162, 1151, 10957, 1161, 1135, 1499, 3890, 6401, 1296, 1411, 1341, 2025, 3101, 1156, 2488, 2179, 1161, 1135, 1184, 2289, 4095, 106, 106, 2103, 2364, 1261, 1765, 3660, 1659, 17574, 1706, 10919, 1171, 8226, 18724, 1161, 3760, 1296, 2632, 1296, 5057, 10127, 1238, 2406, 1122, 9092, 1285, 6517, 17354, 7843, 26521, 1125, 2564, 26521, 1171, 2017, 6558, 1297, 2133, 1959, 11462, 1296, 11886, 1161, 5057, 1721, 5422, 3813, 1135, 5424, 1149, 7118, 121, 488, 106, 106, 142, 2589, 1706, 8576, 5064, 1238, 7262, 488, 125, 124, 119, 488, 125, 123, 123, 125, 1147, 1643, 1278, 11216, 10016, 2621, 1355, 1135, 7227, 1161, 488, 131, 132, 121, 7013, 14032, 1161, 488, 129, 123, 8937, 15814, 1108, 1965, 8576, 5064, 1238, 1135, 2994, 2954, 1161, 1135, 2994, 11764, 106, 106, 6090, 4769, 1702, 106, 13772, 1510, 1135, 25533, 3284, 24196, 7412, 17574, 1706, 2025, 3337, 12886, 1626, 11622, 2026, 133, 1704, 1446, 19382, 3595, 1130, 4017, 1147, 488, 124, 132, 129, 126, 119, 4129, 1446, 19382, 3595, 1130, 4017, 1147, 488, 124, 132, 131, 131, 119, 1171, 1704, 1446, 1135, 4017, 1161, 27543, 1105, 1147, 488, 124, 132, 132, 125, 121, 32001, 488, 106, 32000, 20036, 106, 6171, 3225, 1109, 17574, 1706, 1175, 124, 132, 124, 126, 120, 125, 123, 123, 125, 116, 3031, 1189, 6517, 10558, 5263, 5485, 13787, 2335, 5359, 1167, 9503, 119, 1167, 5444, 1672, 1929, 2335, 4367, 1304, 17485, 1219, 244, 27116, 1256, 1207, 10331, 175, 1285, 9918, 2290, 1170, 1874, 1125, 7808, 1747, 1105, 1320, 1146, 16395, 106, 106, 141, 11741, 488, 106, 157, 31326, 3225, 1109, 17574, 1706, 1299, 5252, 1188, 1539, 4782, 1347, 1965, 1350, 29682, 1137, 1810, 1318, 3837, 5639, 1125, 1158, 23139, 1227, 28634, 10019, 1313, 1170, 21836, 16003, 177, 4937, 1810, 1170, 488, 125, 123, 2578, 488, 124, 132, 124, 126, 121, 1768, 1110, 15363, 1189, 10882, 6687, 1186, 8287, 11490, 1125, 15714, 1125, 14097, 29682, 10778, 1186, 488, 124, 132, 126, 127, 119, 7508, 2335, 3341, 6687, 1188, 21455, 1125, 14097, 29682, 10778, 1186, 488, 124, 132, 126, 130, 121, 1653, 488, 124, 132, 127, 123, 119, 17574, 1706, 1110, 15363, 1189, 11622, 1128, 1186, 9261, 1167, 1186, 8287, 11490, 5225, 14627, 1188, 21455, 1227, 12988, 1188, 1192, 1502, 2982, 1469, 1561, 21203, 16475, 16147, 1939, 1867, 488, 124, 132, 126, 128, 1188, 488, 124, 132, 127, 128, 119, 1170, 9595, 17574, 1706, 1110, 4208, 8694, 1158, 5934, 5161, 1207, 8287, 11490, 1167, 5753, 4492, 1460, 1571, 5116, 1837, 1125, 5922, 193, 4748, 1125, 21159, 14179, 7778, 1167, 13076, 1124, 193, 16639, 106, 106, 1686, 488, 124, 132, 128, 132, 119, 17574, 1706, 1299, 12749, 1170, 8328, 1125, 1158, 13897, 1125, 26138, 8595, 1317, 4909, 6716, 9968, 1161, 20123, 2392, 11151, 3365, 7723, 1370, 1440, 1601, 3212, 2750, 2782, 5664, 3356, 1170, 10342, 1227, 19382, 3595, 1130, 9168, 22282, 17277, 21455, 19382, 3595, 1130, 1496, 1527, 1110, 1913, 1458, 1847, 244, 1125, 6469, 1309, 1158, 7759, 1197, 3403, 10331, 3436, 9442, 1197, 9418, 1186, 7150, 3529, 2974, 1842, 1317, 4041, 13980, 3200, 4414, 1653, 488, 124, 132, 129, 128, 119, 17574, 1706, 7988, 1189, 8536, 1125, 28262, 21467, 1125, 1158, 30536, 1188, 2102, 6706, 3523, 19382, 3595, 4746, 1768, 1251, 1110, 16098, 1189, 4367, 1747, 1105, 16738, 8113, 8985, 1158, 7577, 30831, 1904, 29582, 6617, 1980, 1183, 1212, 1960, 2121, 3143, 21253, 2282, 1188, 1282, 17485, 1219, 244, 27116, 1197, 3403, 10331, 175, 1457, 1768, 1110, 13348, 1440, 4367, 7808, 1747, 1105, 1320, 1146, 16395, 106, 106, 6880, 1109, 3054, 1125, 17574, 1706, 1186, 488, 124, 132, 129, 129, 1110, 10193, 1189, 10424, 9709, 1256, 23699, 1197, 10331, 175, 1297, 6218, 4367, 7808, 1747, 1105, 1320, 1146, 1299, 20031, 1300, 4428, 2124, 25374, 1309, 1995, 2183, 1207, 23928, 1125, 1158, 7577, 10110, 1303, 2830, 1823, 16307, 5931, 1153, 5542, 1207, 7900, 1197, 2905, 1667, 1186, 14719, 1197, 1115, 23791, 1227, 2032, 192, 11682, 1207, 2680, 29096, 1701, 5179, 8516, 1888, 1318, 7577, 1188, 1996, 5639, 1125, 1158, 2076, 4418, 11471, 3888, 15925, 12372, 1186, 4083, 1980, 1129, 7225, 1723, 1215, 9689, 1125, 1964, 8343, 6617, 1309, 1215, 10721, 1212, 17285, 4511, 2176, 1227, 4367, 119, 17574, 1706, 1110, 12683, 1257, 1939, 488, 106, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 131, 127, 119, 1527, 1299, 12749, 13787, 1125, 3370, 1167, 8328, 1197, 10911, 1939, 1867, 488, 124, 132, 131, 124, 1188, 488, 124, 132, 131, 126, 119, 1527, 1110, 2445, 1913, 4637, 1227, 1939, 19321, 1594, 13838, 1125, 17574, 1706, 119, 1527, 1110, 14317, 1594, 4367, 7808, 1747, 1105, 1320, 1146, 1188, 488, 1167, 2172, 1366, 1397, 1104, 3189, 4542, 1667, 1186, 12049, 7662, 1167, 1186, 2976, 1199, 1197, 1170, 13869, 1300, 10485, 4314, 12026, 1313, 488, 126, 127, 1125, 2008, 15532, 1167, 2172, 1366, 1397, 1457, 4511, 1561, 11521, 1186, 488, 124, 132, 131, 127, 119, 21455, 19382, 3595, 1130, 2435, 1110, 1805, 1608, 244, 1170, 8774, 1125, 13787, 8324, 1356, 1286, 1939, 1768, 1110, 4222, 244, 1188, 9963, 1469, 1158, 9287, 10903, 488, 2757, 1561, 4685, 1227, 10016, 2621, 2750, 1561, 11521, 121, 488, 488, 106, 106, 17971, 3285, 1125, 1561, 9245, 119, 17574, 1706, 1110, 5617, 1167, 9053, 1197, 20935, 11734, 2753, 2442, 1309, 3171, 9337, 1300, 1207, 8287, 2035, 23480, 1158, 5934, 5161, 26138, 8595, 119, 23699, 1197, 10331, 175, 1285, 488, 1167, 5610, 3499, 1297, 1768, 1110, 2445, 1913, 5367, 21339, 1186, 6513, 1125, 3171, 1721, 5422, 2487, 1170, 7118, 5424, 1132, 488, 1939, 488, 106, 106, 142, 2589, 1706, 1299, 19956, 1170, 488, 125, 124, 2584, 488, 125, 123, 123, 125, 1188, 1643, 1278, 11216, 10016, 12906, 1188, 19910, 1125, 488, 131, 132, 8793, 6218, 16722, 1125, 488, 129, 123, 5305, 15814, 1108, 1965, 1299, 29372, 1170, 2076, 2574, 1125, 1158, 2076, 1894, 3798, 106, 106, 6090, 1396, 3400, 488, 106, 155, 30550, 1207, 17836, 5702, 1805, 1608, 1473, 1188, 17574, 1706, 119, 3203, 11622, 1889, 12886, 1221, 2097, 1257, 1170, 1186, 488, 124, 132, 129, 126, 119, 1170, 1186, 488, 124, 132, 131, 131, 1167, 1170, 1186, 488, 124, 132, 132, 125, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 6171, 3225, 1109, 17574, 1706, 1175, 124, 132, 124, 126, 120, 125, 123, 123, 125, 116, 3031, 1189, 6517, 10558, 5263, 5485, 13787, 2335, 5359, 1167, 9503, 119, 1167, 5444, 1672, 1929, 2335, 4367, 1304, 17485, 1219, 244, 27116, 1256, 1207, 10331, 175, 1285, 9918, 2290, 1170, 1874, 1125, 7808, 1747, 1105, 1320, 1146, 16395, 106, 106, 141, 11741, 488, 106, 157, 31326, 3225, 1109, 17574, 1706, 1299, 5252, 1188, 1539, 4782, 1347, 1965, 1350, 29682, 1137, 1810, 1318, 3837, 5639, 1125, 1158, 23139, 1227, 28634, 10019, 1313, 1170, 21836, 16003, 177, 4937, 1810, 1170, 488, 125, 123, 2578, 488, 124, 132, 124, 126, 121, 1768, 1110, 15363, 1189, 10882, 6687, 1186, 8287, 11490, 1125, 15714, 1125, 14097, 29682, 10778, 1186, 488, 124, 132, 126, 127, 119, 7508, 2335, 3341, 6687, 1188, 21455, 1125, 14097, 29682, 10778, 1186, 488, 124, 132, 126, 130, 121, 1653, 488, 124, 132, 127, 123, 119, 17574, 1706, 1110, 15363, 1189, 11622, 1128, 1186, 9261, 1167, 1186, 8287, 11490, 5225, 14627, 1188, 21455, 1227, 12988, 1188, 1192, 1502, 2982, 1469, 1561, 21203, 16475, 16147, 1939, 1867, 488, 124, 132, 126, 128, 1188, 488, 124, 132, 127, 128, 119, 1170, 9595, 17574, 1706, 1110, 4208, 8694, 1158, 5934, 5161, 1207, 8287, 11490, 1167, 5753, 4492, 1460, 1571, 5116, 1837, 1125, 5922, 193, 4748, 1125, 21159, 14179, 7778, 1167, 13076, 1124, 193, 16639, 106, 106, 1686, 488, 124, 132, 128, 132, 119, 17574, 1706, 1299, 12749, 1170, 8328, 1125, 1158, 13897, 1125, 26138, 8595, 1317, 4909, 6716, 9968, 1161, 20123, 2392, 11151, 3365, 7723, 1370, 1440, 1601, 3212, 2750, 2782, 5664, 3356, 1170, 10342, 1227, 19382, 3595, 1130, 9168, 22282, 17277, 21455, 19382, 3595, 1130, 1496, 1527, 1110, 1913, 1458, 1847, 244, 1125, 6469, 1309, 1158, 7759, 1197, 3403, 10331, 3436, 9442, 1197, 9418, 1186, 7150, 3529, 2974, 1842, 1317, 4041, 13980, 3200, 4414, 1653, 488, 124, 132, 129, 128, 119, 17574, 1706, 7988, 1189, 8536, 1125, 28262, 21467, 1125, 1158, 30536, 1188, 2102, 6706, 3523, 19382, 3595, 4746, 1768, 1251, 1110, 16098, 1189, 4367, 1747, 1105, 16738, 8113, 8985, 1158, 7577, 30831, 1904, 29582, 6617, 1980, 1183, 1212, 1960, 2121, 3143, 21253, 2282, 1188, 1282, 17485, 1219, 244, 27116, 1197, 3403, 10331, 175, 1457, 1768, 1110, 13348, 1440, 4367, 7808, 1747, 1105, 1320, 1146, 16395, 106, 106, 6880, 1109, 3054, 1125, 17574, 1706, 1186, 488, 124, 132, 129, 129, 1110, 10193, 1189, 10424, 9709, 1256, 23699, 1197, 10331, 175, 1297, 6218, 4367, 7808, 1747, 1105, 1320, 1146, 1299, 20031, 1300, 4428, 2124, 25374, 1309, 1995, 2183, 1207, 23928, 1125, 1158, 7577, 10110, 1303, 2830, 1823, 16307, 5931, 1153, 5542, 1207, 7900, 1197, 2905, 1667, 1186, 14719, 1197, 1115, 23791, 1227, 2032, 192, 11682, 1207, 2680, 29096, 1701, 5179, 8516, 1888, 1318, 7577, 1188, 1996, 5639, 1125, 1158, 2076, 4418, 11471, 3888, 15925, 12372, 1186, 4083, 1980, 1129, 7225, 1723, 1215, 9689, 1125, 1964, 8343, 6617, 1309, 1215, 10721, 1212, 17285, 4511, 2176, 1227, 4367, 119, 17574, 1706, 1110, 12683, 1257, 1939, 488, 106, 106, 2524, 488, 124, 132, 130, 128, 1188, 488, 124, 132, 131, 127, 119, 1527, 1299, 12749, 13787, 1125, 3370, 1167, 8328, 1197, 10911, 1939, 1867, 488, 124, 132, 131, 124, 1188, 488, 124, 132, 131, 126, 119, 1527, 1110, 2445, 1913, 4637, 1227, 1939, 19321, 1594, 13838, 1125, 17574, 1706, 119, 1527, 1110, 14317, 1594, 4367, 7808, 1747, 1105, 1320, 1146, 1188, 488, 1167, 2172, 1366, 1397, 1104, 3189, 4542, 1667, 1186, 12049, 7662, 1167, 1186, 2976, 1199, 1197, 1170, 13869, 1300, 10485, 4314, 12026, 1313, 488, 126, 127, 1125, 2008, 15532, 1167, 2172, 1366, 1397, 1457, 4511, 1561, 11521, 1186, 488, 124, 132, 131, 127, 119, 21455, 19382, 3595, 1130, 2435, 1110, 1805, 1608, 244, 1170, 8774, 1125, 13787, 8324, 1356, 1286, 1939, 1768, 1110, 4222, 244, 1188, 9963, 1469, 1158, 9287, 10903, 488, 2757, 1561, 4685, 1227, 10016, 2621, 2750, 1561, 11521, 121, 488, 488, 106, 106, 17971, 3285, 1125, 1561, 9245, 119, 17574, 1706, 1110, 5617, 1167, 9053, 1197, 20935, 11734, 2753, 2442, 1309, 3171, 9337, 1300, 1207, 8287, 2035, 23480, 1158, 5934, 5161, 26138, 8595, 119, 23699, 1197, 10331, 175, 1285, 488, 1167, 5610, 3499, 1297, 1768, 1110, 2445, 1913, 5367, 21339, 1186, 6513, 1125, 3171, 1721, 5422, 2487, 1170, 7118, 5424, 1132, 488, 1939, 488, 106, 106, 142, 2589, 1706, 1299, 19956, 1170, 488, 125, 124, 2584, 488, 125, 123, 123, 125, 1188, 1643, 1278, 11216, 10016, 12906, 1188, 19910, 1125, 488, 131, 132, 8793, 6218, 16722, 1125, 488, 129, 123, 5305, 15814, 1108, 1965, 1299, 29372, 1170, 2076, 2574, 1125, 1158, 2076, 1894, 3798, 106, 106, 6090, 1396, 3400, 488, 106, 155, 30550, 1207, 17836, 5702, 1805, 1608, 1473, 1188, 17574, 1706, 119, 3203, 11622, 1889, 12886, 1221, 2097, 1257, 1170, 1186, 488, 124, 132, 129, 126, 119, 1170, 1186, 488, 124, 132, 131, 131, 1167, 1170, 1186, 488, 124, 132, 132, 125, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 114, 1428, 6180, 2430, 1762, 1135, 12961, 4592, 1176, 2323, 1239, 1135, 4592, 1176, 2323, 28414, 4153, 1238, 13220, 1361, 6300, 1324, 1110, 2102, 11104, 1161, 488, 127, 128, 210, 12961, 121, 106, 106, 13543, 11114, 106, 106, 28267, 6272, 106, 151, 4962, 1543, 2017, 4592, 9071, 6963, 1135, 4577, 1161, 1135, 12961, 4592, 1176, 2323, 27156, 1163, 6681, 1161, 1135, 13220, 1361, 14592, 3823, 119, 1758, 1239, 488, 125, 123, 119, 123, 123, 126, 121, 132, 126, 1498, 5784, 3743, 1135, 3252, 14105, 1341, 1239, 488, 124, 123, 119, 123, 123, 130, 121, 132, 129, 7275, 5064, 1446, 1135, 9615, 18664, 4592, 1176, 2323, 121, 106, 106, 159, 1307, 13909, 1324, 1135, 19718, 4592, 1176, 20101, 1341, 14205, 1110, 3386, 18950, 18907, 2488, 1135, 13220, 1361, 6180, 28988, 1881, 1457, 106, 106, 6246, 1764, 7634, 1156, 106, 7930, 1149, 1446, 1135, 5584, 1202, 1731, 1171, 8466, 4258, 10553, 1163, 1135, 5343, 1202, 12057, 1135, 12961, 4592, 1176, 2323, 24266, 2488, 133, 106, 198, 199, 4508, 194, 2461, 5227, 12585, 1831, 7117, 109, 106, 108, 12965, 1695, 3623, 109, 21134, 124, 125, 128, 109, 1547, 4553, 31739, 106, 108, 12965, 1695, 3623, 109, 1547, 4252, 1216, 1762, 29837, 1329, 14695, 106, 108, 12965, 1695, 3623, 109, 1547, 19784, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 5584, 1202, 1731, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 18246, 1310, 25173, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 131, 123, 210, 153, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 28340, 20461, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 127, 128, 210, 153, 106, 108, 12965, 1695, 1831, 109, 1547, 24907, 106, 199, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 5343, 24907, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 128, 128, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 1266, 5953, 9378, 9641, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 129, 130, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 130, 128, 210, 158, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 24907, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 124, 123, 123, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 24907, 106, 199, 1918, 1119, 179, 7587, 1323, 26508, 1109, 197, 1132, 9641, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 24907, 25173, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 124, 129, 123, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 1918, 1119, 179, 238, 2086, 16867, 1334, 248, 1323, 9328, 1446, 20251, 4741, 3870, 1141, 16839, 7655, 1173, 7587, 5612, 186, 1323, 9328, 1446, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 18827, 25173, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 132, 123, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 5343, 3225, 182, 4530, 31812, 106, 199, 25450, 1488, 9641, 1323, 4836, 1161, 4039, 3194, 3251, 1449, 1175, 7604, 2588, 1161, 1198, 29794, 3981, 1252, 1277, 3166, 116, 1171, 5867, 1164, 7474, 20313, 4691, 1310, 20916, 1696, 116, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 18827, 25173, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 123, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 20313, 4691, 22162, 106, 199, 4836, 1161, 4039, 3194, 3251, 1449, 1175, 6016, 25707, 20313, 4691, 1310, 7972, 1171, 5867, 1164, 7474, 20313, 4691, 1310, 20916, 1696, 116, 106, 199, 120, 106, 199, 200, 106, 106, 20634, 1171, 22874, 106, 106, 21320, 1959, 106, 106, 17791, 14520, 106, 152, 1107, 1176, 2323, 106, 144, 1573, 8580, 1176, 2323, 106, 162, 1182, 8580, 1176, 2323, 106, 106, 26722, 14520, 106, 106, 15891, 11104, 114, 32001, 488, 106, 32000, 20036, 106, 1686, 6431, 2430, 2620, 1170, 1127, 1550, 1331, 1108, 1362, 1182, 1299, 1170, 1127, 1550, 1331, 1108, 1225, 8489, 1199, 1207, 4153, 1125, 1158, 6300, 1125, 1158, 14070, 2487, 1158, 2102, 11104, 1299, 22367, 1188, 488, 127, 128, 210, 1362, 17778, 106, 106, 146, 22857, 106, 106, 28267, 6272, 488, 106, 2700, 1232, 2183, 1207, 2905, 1127, 1550, 1331, 12581, 1158, 16618, 1227, 1127, 1550, 1331, 1108, 1362, 1182, 4113, 1188, 1318, 11028, 2308, 1187, 1636, 4811, 22418, 2944, 2666, 488, 125, 123, 488, 123, 123, 126, 119, 132, 126, 1498, 5784, 3767, 4041, 1125, 1282, 2603, 13619, 1527, 1299, 2328, 1199, 1227, 1127, 1550, 1331, 1108, 1125, 9615, 18664, 1125, 488, 124, 123, 123, 123, 130, 119, 132, 129, 1498, 5784, 106, 106, 140, 6854, 1170, 1127, 1550, 1331, 1108, 18001, 1527, 4438, 1189, 2511, 28674, 14722, 1215, 1207, 1113, 18659, 6431, 20678, 22418, 14279, 106, 106, 157, 1603, 1764, 4759, 1473, 488, 106, 1686, 24889, 13503, 1215, 1170, 29473, 6973, 1167, 8466, 2388, 2079, 1170, 7758, 1317, 29473, 30469, 1548, 1127, 1550, 1331, 1108, 1362, 1182, 4212, 1215, 133, 106, 198, 199, 4508, 194, 2461, 5227, 12585, 1831, 7117, 109, 106, 108, 12965, 1695, 3623, 109, 21134, 124, 125, 128, 109, 1547, 4553, 1404, 7717, 106, 108, 12965, 1695, 3623, 109, 1547, 11259, 1285, 7019, 1362, 4592, 106, 108, 12965, 1695, 3623, 109, 1547, 19784, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 30565, 6973, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 18246, 1960, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 131, 123, 210, 153, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 8580, 1125, 28340, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 127, 128, 210, 153, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 18293, 1960, 106, 199, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 18293, 1960, 6455, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 128, 128, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 16617, 1126, 1125, 1266, 5953, 9378, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 129, 130, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 130, 128, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 18293, 1960, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 124, 123, 123, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 18293, 1960, 488, 106, 199, 1918, 1119, 179, 7587, 2353, 16617, 1126, 26508, 1109, 197, 1132, 488, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 18293, 1960, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 124, 129, 123, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 1918, 1119, 179, 7587, 16867, 1334, 248, 2353, 1188, 3862, 1125, 488, 20251, 1575, 2353, 1188, 3862, 1125, 488, 3870, 1141, 1293, 15971, 2353, 1188, 3862, 1125, 488, 1173, 7587, 5612, 186, 2353, 1188, 3862, 1125, 488, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 6801, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 132, 123, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 28836, 3225, 174, 5493, 1227, 6455, 106, 199, 16617, 1126, 25450, 1488, 2353, 12253, 1197, 14197, 1188, 1158, 2768, 1215, 1282, 1175, 7604, 2588, 1125, 14070, 1125, 4390, 192, 2986, 1167, 488, 6713, 1107, 1687, 1941, 1151, 191, 4691, 1960, 14898, 116, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 6801, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 123, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 20313, 4691, 1960, 106, 199, 12253, 1197, 14197, 1188, 1158, 2768, 1215, 1282, 30971, 191, 4691, 1960, 17323, 1314, 116, 1167, 1170, 488, 6713, 1107, 1687, 1941, 1151, 191, 4691, 1960, 14898, 116, 106, 199, 120, 106, 199, 200, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 22260, 488, 106, 1204, 1550, 1331, 1108, 106, 1204, 1550, 1331, 1108, 1299, 106, 1204, 1550, 1331, 1108, 1362, 1182, 106, 106, 28870, 5825, 488, 106, 106, 15891, 11104, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1686, 6431, 2430, 2620, 1170, 1127, 1550, 1331, 1108, 1362, 1182, 1299, 1170, 1127, 1550, 1331, 1108, 1225, 8489, 1199, 1207, 4153, 1125, 1158, 6300, 1125, 1158, 14070, 2487, 1158, 2102, 11104, 1299, 22367, 1188, 488, 127, 128, 210, 1362, 17778, 106, 106, 146, 22857, 106, 106, 28267, 6272, 488, 106, 2700, 1232, 2183, 1207, 2905, 1127, 1550, 1331, 12581, 1158, 16618, 1227, 1127, 1550, 1331, 1108, 1362, 1182, 4113, 1188, 1318, 11028, 2308, 1187, 1636, 4811, 22418, 2944, 2666, 488, 125, 123, 488, 123, 123, 126, 119, 132, 126, 1498, 5784, 3767, 4041, 1125, 1282, 2603, 13619, 1527, 1299, 2328, 1199, 1227, 1127, 1550, 1331, 1108, 1125, 9615, 18664, 1125, 488, 124, 123, 123, 123, 130, 119, 132, 129, 1498, 5784, 106, 106, 140, 6854, 1170, 1127, 1550, 1331, 1108, 18001, 1527, 4438, 1189, 2511, 28674, 14722, 1215, 1207, 1113, 18659, 6431, 20678, 22418, 14279, 106, 106, 157, 1603, 1764, 4759, 1473, 488, 106, 1686, 24889, 13503, 1215, 1170, 29473, 6973, 1167, 8466, 2388, 2079, 1170, 7758, 1317, 29473, 30469, 1548, 1127, 1550, 1331, 1108, 1362, 1182, 4212, 1215, 133, 106, 198, 199, 4508, 194, 2461, 5227, 12585, 1831, 7117, 109, 106, 108, 12965, 1695, 3623, 109, 21134, 124, 125, 128, 109, 1547, 4553, 1404, 7717, 106, 108, 12965, 1695, 3623, 109, 1547, 11259, 1285, 7019, 1362, 4592, 106, 108, 12965, 1695, 3623, 109, 1547, 19784, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 30565, 6973, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 18246, 1960, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 131, 123, 210, 153, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 8580, 1125, 28340, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 127, 128, 210, 153, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 18293, 1960, 106, 199, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 18293, 1960, 6455, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 128, 128, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 16617, 1126, 1125, 1266, 5953, 9378, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 129, 130, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 130, 128, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 18293, 1960, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 106, 199, 488, 124, 123, 123, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 18293, 1960, 488, 106, 199, 1918, 1119, 179, 7587, 2353, 16617, 1126, 26508, 1109, 197, 1132, 488, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 18293, 1960, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 124, 129, 123, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 488, 106, 199, 1918, 1119, 179, 7587, 16867, 1334, 248, 2353, 1188, 3862, 1125, 488, 20251, 1575, 2353, 1188, 3862, 1125, 488, 3870, 1141, 1293, 15971, 2353, 1188, 3862, 1125, 488, 1173, 7587, 5612, 186, 2353, 1188, 3862, 1125, 488, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 6801, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 132, 123, 210, 158, 488, 106, 108, 12965, 1695, 1831, 109, 1547, 28836, 3225, 174, 5493, 1227, 6455, 106, 199, 16617, 1126, 25450, 1488, 2353, 12253, 1197, 14197, 1188, 1158, 2768, 1215, 1282, 1175, 7604, 2588, 1125, 14070, 1125, 4390, 192, 2986, 1167, 488, 6713, 1107, 1687, 1941, 1151, 191, 4691, 1960, 14898, 116, 106, 199, 120, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 488, 106, 108, 12965, 1695, 1831, 109, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 1350, 174, 11547, 6801, 106, 199, 9988, 17204, 133, 110, 173, 123, 176, 123, 176, 129, 22659, 1547, 106, 199, 120, 1613, 1442, 1695, 5847, 109, 106, 199, 488, 123, 210, 158, 106, 108, 12965, 1695, 1831, 109, 1547, 20313, 4691, 1960, 106, 199, 12253, 1197, 14197, 1188, 1158, 2768, 1215, 1282, 30971, 191, 4691, 1960, 17323, 1314, 116, 1167, 1170, 488, 6713, 1107, 1687, 1941, 1151, 191, 4691, 1960, 14898, 116, 106, 199, 120, 106, 199, 200, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 28870, 22260, 488, 106, 1204, 1550, 1331, 1108, 106, 1204, 1550, 1331, 1108, 1299, 106, 1204, 1550, 1331, 1108, 1362, 1182, 106, 106, 28870, 5825, 488, 106, 106, 15891, 11104, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1428, 3346, 8255, 16867, 2549, 180, 26628, 1163, 133, 106, 106, 1428, 1135, 1518, 5173, 1342, 2323, 3486, 29784, 1119, 2323, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 2855, 1506, 17940, 266, 175, 197, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1144, 180, 1168, 1214, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1325, 278, 1237, 278, 172, 1886, 182, 7580, 106, 106, 1428, 1135, 13607, 2078, 3346, 1265, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7389, 3258, 1147, 1135, 1293, 1180, 1433, 279, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1293, 1180, 1433, 279, 7580, 1171, 1135, 17556, 1161, 1135, 16867, 2549, 180, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1293, 185, 4936, 5022, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1518, 272, 187, 5022, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 27559, 1109, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1518, 9509, 1180, 197, 1869, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 7476, 196, 9193, 196, 285, 183, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1248, 2554, 1146, 197, 7580, 106, 106, 1428, 1135, 488, 277, 254, 175, 292, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 488, 277, 1246, 1146, 197, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 16867, 1190, 189, 182, 18353, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 8227, 1137, 5005, 186, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1233, 4042, 278, 2554, 180, 1168, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 6410, 173, 18353, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1518, 1328, 197, 28086, 18353, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 27559, 1273, 185, 5245, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 20890, 1178, 18353, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 5071, 1443, 6832, 1784, 1214, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1173, 197, 2240, 182, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1325, 1733, 192, 279, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 2397, 2336, 279, 5005, 172, 1325, 9177, 7389, 3258, 106, 106, 1428, 1135, 1200, 3491, 1109, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7389, 3258, 1147, 1135, 14676, 18185, 7580, 106, 155, 180, 2549, 2433, 1110, 8046, 1147, 1135, 14676, 18185, 21705, 1171, 1135, 17556, 1161, 1135, 7389, 3258, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 488, 277, 4849, 18353, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1325, 278, 1259, 17368, 7580, 106, 106, 1428, 1135, 15260, 1651, 2323, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 9491, 194, 30878, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1202, 5787, 1168, 197, 5022, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1202, 278, 1652, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 8227, 1137, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1173, 1374, 9773, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1325, 186, 278, 7775, 7580, 106, 106, 1428, 1135, 1202, 1259, 183, 2549, 1214, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1233, 1575, 278, 10668, 1387, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1306, 4520, 185, 18353, 5778, 7580, 106, 106, 1428, 1135, 5206, 1202, 29784, 1119, 2323, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 488, 277, 1383, 2715, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1173, 197, 28086, 1168, 1314, 182, 7580, 106, 106, 1428, 1135, 1144, 180, 272, 191, 1387, 189, 197, 1591, 182, 1214, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1321, 272, 17324, 2174, 181, 18353, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1518, 1733, 1159, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 28950, 279, 5005, 1214, 7580, 106, 106, 1428, 1135, 1325, 2569, 2323, 3046, 1141, 1136, 2323, 7626, 1289, 3524, 2840, 133, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1254, 278, 182, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1209, 278, 17368, 7580, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1202, 1120, 197, 7580, 106, 106, 1428, 2017, 1873, 1289, 3524, 2840, 3009, 106, 155, 180, 2549, 2433, 1110, 22903, 2178, 1147, 1135, 1200, 2428, 1173, 3045, 2323, 7626, 1289, 3524, 2840, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 8587, 15484, 5889, 2323, 7626, 1289, 3524, 2840, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1200, 1287, 1153, 197, 7626, 1289, 3524, 2840, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 4671, 1731, 7626, 1289, 3524, 2840, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 23154, 1107, 3346, 1265, 7626, 1289, 3524, 2840, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1202, 29784, 1119, 2323, 7626, 1289, 3524, 2840, 106, 155, 180, 2549, 2433, 1110, 7130, 1147, 1135, 1173, 3045, 2323, 7626, 1289, 3524, 2840, 32001, 488, 106, 32000, 20036, 106, 1686, 1202, 1737, 6664, 16867, 2549, 180, 1844, 6891, 1188, 1257, 106, 106, 22507, 1158, 30841, 1125, 12511, 250, 1342, 1214, 3486, 1137, 1356, 7778, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 2855, 1506, 17940, 266, 175, 197, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1144, 180, 1168, 1214, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1325, 278, 1237, 278, 172, 1886, 182, 106, 106, 22507, 1158, 30841, 1125, 11961, 3486, 16442, 1257, 106, 155, 180, 2549, 2433, 1185, 1577, 172, 1227, 8573, 10953, 1125, 1293, 1180, 1433, 279, 119, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1293, 1180, 1433, 279, 1167, 9209, 1125, 1158, 1185, 1577, 172, 1125, 16867, 2549, 2433, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1293, 185, 4936, 185, 2086, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1518, 272, 21759, 2086, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 27559, 2982, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1518, 9509, 1180, 197, 1869, 119, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 7476, 196, 9193, 196, 285, 11216, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1248, 2554, 1146, 5520, 488, 106, 106, 22507, 1158, 30841, 1125, 488, 277, 254, 175, 292, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 488, 277, 1246, 1146, 197, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 16867, 1190, 189, 182, 18353, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 8227, 1137, 5005, 186, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1233, 4042, 278, 2554, 180, 1168, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 6410, 173, 18353, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1518, 1328, 197, 28086, 18353, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 27559, 1273, 185, 5245, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 20890, 1178, 18353, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 5071, 1443, 6832, 1784, 1214, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1173, 197, 2240, 182, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1325, 1733, 192, 279, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 2397, 2336, 279, 5005, 172, 1325, 9177, 106, 106, 22507, 1158, 30841, 1125, 1200, 3491, 1109, 1257, 106, 155, 180, 2549, 2433, 1185, 1577, 172, 1227, 8573, 10953, 1125, 14676, 18185, 106, 155, 180, 2549, 2433, 3837, 1227, 8573, 10953, 1125, 14676, 18185, 119, 1167, 1158, 1185, 1577, 172, 2487, 2399, 1299, 1170, 9209, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 488, 277, 4849, 18353, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1325, 278, 1259, 17368, 106, 106, 22507, 1158, 30841, 1125, 23955, 13663, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 9491, 194, 30878, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1202, 5787, 1168, 197, 5022, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1202, 278, 1652, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 8227, 1137, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1173, 1374, 9773, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1325, 186, 278, 7775, 106, 106, 22507, 1158, 30841, 1125, 1202, 1259, 183, 1519, 1214, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1233, 1575, 278, 10668, 1387, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1306, 4520, 185, 18353, 5778, 106, 106, 22507, 1158, 30841, 1125, 1202, 1137, 1356, 7778, 9081, 1968, 2154, 1366, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 488, 277, 1383, 2715, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1173, 197, 28086, 1168, 1314, 182, 106, 106, 22507, 1158, 30841, 1125, 13894, 3926, 1150, 1757, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1321, 272, 17324, 2174, 181, 18353, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1518, 1733, 1159, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 28950, 279, 5005, 1214, 106, 22507, 1158, 30841, 1125, 1352, 2569, 1214, 3046, 1992, 1136, 1214, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 6348, 278, 182, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 16939, 278, 17368, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1202, 1120, 197, 488, 106, 106, 22507, 5610, 1873, 29073, 30068, 106, 155, 180, 2549, 2433, 1166, 1344, 1334, 1313, 1158, 30841, 1125, 1233, 2139, 3441, 1142, 1234, 4654, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1197, 1233, 13148, 3926, 7188, 2026, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 1200, 1287, 1153, 197, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1304, 4248, 1731, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 28018, 3486, 16442, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 1202, 1137, 1356, 7778, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 9412, 12133, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1686, 1202, 1737, 6664, 16867, 2549, 180, 1844, 6891, 1188, 1257, 106, 106, 22507, 1158, 30841, 1125, 12511, 250, 1342, 1214, 3486, 1137, 1356, 7778, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 2855, 1506, 17940, 266, 175, 197, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1144, 180, 1168, 1214, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1325, 278, 1237, 278, 172, 1886, 182, 106, 106, 22507, 1158, 30841, 1125, 11961, 3486, 16442, 1257, 106, 155, 180, 2549, 2433, 1185, 1577, 172, 1227, 8573, 10953, 1125, 1293, 1180, 1433, 279, 119, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1293, 1180, 1433, 279, 1167, 9209, 1125, 1158, 1185, 1577, 172, 1125, 16867, 2549, 2433, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1293, 185, 4936, 185, 2086, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1518, 272, 21759, 2086, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 27559, 2982, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1518, 9509, 1180, 197, 1869, 119, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 7476, 196, 9193, 196, 285, 11216, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1248, 2554, 1146, 5520, 488, 106, 106, 22507, 1158, 30841, 1125, 488, 277, 254, 175, 292, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 488, 277, 1246, 1146, 197, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 16867, 1190, 189, 182, 18353, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 8227, 1137, 5005, 186, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1233, 4042, 278, 2554, 180, 1168, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 6410, 173, 18353, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1518, 1328, 197, 28086, 18353, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 27559, 1273, 185, 5245, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 20890, 1178, 18353, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 5071, 1443, 6832, 1784, 1214, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1173, 197, 2240, 182, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 1325, 1733, 192, 279, 106, 155, 180, 2549, 2433, 7130, 1125, 1158, 1185, 1577, 172, 1125, 2397, 2336, 279, 5005, 172, 1325, 9177, 106, 106, 22507, 1158, 30841, 1125, 1200, 3491, 1109, 1257, 106, 155, 180, 2549, 2433, 1185, 1577, 172, 1227, 8573, 10953, 1125, 14676, 18185, 106, 155, 180, 2549, 2433, 3837, 1227, 8573, 10953, 1125, 14676, 18185, 119, 1167, 1158, 1185, 1577, 172, 2487, 2399, 1299, 1170, 9209, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 488, 277, 4849, 18353, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1325, 278, 1259, 17368, 106, 106, 22507, 1158, 30841, 1125, 23955, 13663, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 9491, 194, 30878, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1202, 5787, 1168, 197, 5022, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1202, 278, 1652, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 8227, 1137, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1173, 1374, 9773, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1325, 186, 278, 7775, 106, 106, 22507, 1158, 30841, 1125, 1202, 1259, 183, 1519, 1214, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1233, 1575, 278, 10668, 1387, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1306, 4520, 185, 18353, 5778, 106, 106, 22507, 1158, 30841, 1125, 1202, 1137, 1356, 7778, 9081, 1968, 2154, 1366, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 488, 277, 1383, 2715, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1173, 197, 28086, 1168, 1314, 182, 106, 106, 22507, 1158, 30841, 1125, 13894, 3926, 1150, 1757, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1321, 272, 17324, 2174, 181, 18353, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1518, 1733, 1159, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 28950, 279, 5005, 1214, 106, 22507, 1158, 30841, 1125, 1352, 2569, 1214, 3046, 1992, 1136, 1214, 1257, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 6348, 278, 182, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 16939, 278, 17368, 488, 106, 155, 180, 2549, 2433, 7130, 1227, 8573, 10953, 1125, 1202, 1120, 197, 488, 106, 106, 22507, 5610, 1873, 29073, 30068, 106, 155, 180, 2549, 2433, 1166, 1344, 1334, 1313, 1158, 30841, 1125, 1233, 2139, 3441, 1142, 1234, 4654, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1197, 1233, 13148, 3926, 7188, 2026, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 1200, 1287, 1153, 197, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1304, 4248, 1731, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 28018, 3486, 16442, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 1202, 1137, 1356, 7778, 106, 155, 180, 2549, 2433, 7130, 1313, 1158, 30841, 1125, 9412, 12133, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 6880, 2528, 21562, 31474, 1206, 2433, 1362, 7008, 1282, 2528, 21562, 26184, 289, 6200, 289, 4250, 5842, 3315, 16341, 1366, 1496, 1299, 1189, 3274, 1304, 249, 1328, 1317, 18762, 13469, 1227, 6075, 2114, 1835, 21931, 289, 2393, 289, 1167, 1198, 5363, 194, 3100, 19778, 1170, 2102, 1125, 1158, 1131, 19264, 1197, 26184, 289, 6200, 289, 1188, 1158, 6666, 1125, 1158, 20660, 14609, 11322, 17368, 1167, 1125, 1158, 20660, 1747, 6554, 4994, 1768, 1299, 13644, 1197, 20403, 1173, 1889, 1145, 1119, 1317, 8030, 119, 23924, 1188, 1158, 7139, 4306, 1125, 1518, 1193, 9981, 16410, 1167, 1197, 20403, 26184, 289, 6200, 289, 1317, 7758, 1357, 1226, 2121, 1469, 1207, 20403, 1222, 1370, 280, 1188, 1282, 7965, 1158, 7139, 4306, 14609, 11322, 2554, 2036, 4511, 26975, 1197, 20403, 1222, 1370, 280, 2668, 1473, 1186, 4592, 1197, 8184, 9356, 1207, 20403, 1508, 2032, 1790, 1473, 1186, 4592, 1125, 12278, 8286, 5907, 106, 106, 146, 22857, 106, 153, 1119, 1206, 180, 1299, 19778, 1197, 20403, 10743, 11568, 9643, 1257, 106, 6653, 21562, 1173, 1889, 1145, 1119, 1257, 106, 6653, 21562, 3830, 180, 1257, 1198, 2988, 6110, 9243, 1195, 1810, 1204, 1272, 9243, 1195, 1810, 1671, 1569, 192, 9243, 1195, 1810, 1518, 2547, 4384, 1107, 1219, 192, 8740, 1195, 1810, 17617, 9243, 1195, 1810, 1209, 280, 8740, 1195, 1810, 1518, 22887, 9243, 1195, 1810, 106, 28836, 16275, 5834, 1257, 1518, 2547, 4384, 9243, 1195, 1810, 1266, 1569, 7497, 9243, 1195, 1810, 3509, 13199, 1679, 8740, 1195, 1810, 23447, 1154, 8740, 1195, 1810, 11818, 1632, 7901, 8740, 1195, 1810, 1518, 1190, 1569, 1124, 5086, 181, 1195, 1810, 24212, 1124, 5086, 181, 1195, 1810, 106, 28836, 4148, 14989, 1257, 4148, 14989, 1323, 2393, 1195, 1810, 1518, 7392, 1137, 5086, 181, 1195, 1810, 1671, 26311, 9243, 1195, 1810, 1405, 1347, 9243, 1195, 1810, 1518, 2461, 1558, 9243, 1195, 1810, 16275, 1145, 186, 9243, 1195, 1810, 21103, 4384, 1107, 1219, 192, 8740, 1195, 1810, 1671, 1121, 1105, 8740, 1195, 1810, 106, 106, 6653, 21562, 26184, 289, 6200, 289, 1257, 106, 6653, 21562, 1350, 11322, 17368, 1257, 1350, 11322, 17368, 1306, 1258, 280, 119, 1209, 8396, 181, 1195, 1810, 1209, 7641, 5086, 181, 1195, 1810, 1209, 1122, 196, 5086, 181, 1195, 1810, 25359, 17174, 9243, 1195, 1810, 4115, 1145, 5275, 1195, 1810, 1518, 4437, 8740, 1195, 1810, 106, 28836, 21636, 5224, 1257, 16275, 2215, 2461, 8092, 181, 1195, 1810, 2397, 1174, 1174, 8092, 181, 1195, 1810, 11818, 5086, 181, 1195, 1810, 16839, 1255, 5086, 181, 1195, 1810, 1204, 4735, 9243, 16410, 2040, 106, 6653, 21562, 1173, 1569, 1943, 16410, 1257, 106, 28836, 14664, 196, 28492, 1257, 14664, 196, 1569, 3589, 181, 1195, 1810, 1209, 182, 1320, 5086, 181, 1195, 1810, 1350, 178, 1174, 8092, 181, 1195, 1810, 16758, 1705, 8740, 1195, 1810, 2460, 1195, 16461, 8092, 181, 1195, 1810, 30480, 1195, 5086, 181, 1195, 1810, 3870, 185, 5086, 181, 16410, 1167, 13638, 1174, 5086, 181, 1195, 1810, 106, 28836, 1671, 172, 2839, 5224, 1257, 1209, 2393, 1205, 1569, 8092, 181, 1195, 1810, 24212, 1130, 1137, 8092, 181, 1195, 1810, 1518, 22887, 9243, 1195, 1810, 1518, 2562, 1174, 5086, 181, 1195, 1810, 1671, 1287, 192, 8740, 1195, 1810, 1209, 1164, 1137, 2303, 8740, 1195, 1810, 1306, 15320, 5086, 181, 1195, 1810, 1192, 3074, 1153, 4849, 192, 8740, 1195, 1810, 1306, 2078, 1255, 5086, 181, 16410, 1167, 1671, 1105, 1193, 1145, 8092, 181, 1195, 2036, 106, 106, 6653, 21562, 1222, 1370, 280, 119, 1188, 1282, 7965, 8446, 1186, 4592, 1197, 31484, 1125, 14974, 5719, 1125, 1158, 1131, 19264, 1125, 26184, 4849, 196, 4353, 7008, 15112, 1856, 3247, 1125, 1282, 2528, 21562, 1350, 11322, 17368, 1257, 20420, 1217, 1370, 280, 1167, 3870, 1174, 1176, 1370, 280, 119, 106, 106, 4455, 20403, 8689, 182, 1569, 4353, 2668, 1473, 1317, 8030, 1197, 20403, 1671, 172, 2839, 5224, 1167, 14664, 196, 28492, 1167, 9005, 3247, 1125, 1282, 2528, 21562, 1173, 1569, 1943, 1195, 1810, 1508, 3647, 1473, 1125, 5999, 20403, 1167, 3203, 1708, 1210, 1201, 14786, 1219, 1837, 1167, 1508, 19438, 2647, 1473, 1215, 1158, 7732, 13565, 1125, 12278, 1167, 1158, 7732, 1125, 12278, 6713, 5363, 13199, 1576, 106, 106, 147, 15376, 2121, 1170, 22669, 1125, 26184, 289, 6200, 289, 2599, 1108, 1370, 1317, 4319, 1125, 1594, 7635, 1207, 20403, 4148, 14989, 2567, 1309, 1158, 4446, 2460, 1195, 1992, 192, 1125, 1158, 10660, 1125, 1173, 1889, 19093, 1288, 1191, 1134, 1774, 2008, 8091, 121, 106, 106, 155, 1128, 9330, 106, 4298, 3247, 1125, 1282, 2528, 1461, 3561, 17350, 1197, 20403, 4148, 14989, 1323, 2393, 1195, 1810, 16275, 1145, 186, 9243, 1195, 1810, 1125, 1158, 3247, 8030, 1125, 23684, 14609, 11322, 17368, 1167, 16939, 1164, 1137, 2303, 8740, 16410, 2004, 1913, 8986, 1473, 1188, 1158, 4575, 1227, 11639, 14610, 1125, 1282, 3600, 27662, 1170, 488, 125, 129, 2921, 488, 125, 123, 125, 124, 1186, 5169, 1125, 2770, 27308, 190, 6322, 1297, 2932, 1865, 1110, 1913, 8827, 1256, 1561, 3828, 5219, 1125, 16772, 1879, 4355, 1469, 1318, 16734, 2205, 26659, 30723, 243, 1887, 2283, 2035, 2097, 2487, 3713, 1508, 21246, 1473, 1317, 4041, 5549, 3850, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 15779, 21562, 1125, 31474, 187, 280, 106, 227, 1328, 1518, 1157, 3045, 106, 106, 28870, 5825, 32001, 488, 106, 32000, 20036, 106, 1598, 31474, 1206, 180, 6653, 21562, 29854, 1329, 11059, 1135, 26184, 4849, 196, 192, 6653, 21562, 9143, 11560, 1182, 1608, 3195, 1162, 1496, 1239, 1110, 2957, 1161, 13798, 190, 10553, 14654, 1161, 6075, 3100, 2910, 21931, 2955, 192, 1171, 23447, 194, 3100, 16864, 4957, 1135, 26184, 4849, 196, 192, 2168, 4928, 1355, 1135, 24694, 1161, 1135, 1350, 11322, 17368, 2358, 1230, 1171, 1135, 8184, 1314, 2358, 8820, 1988, 11395, 1161, 1135, 1173, 1889, 1145, 1119, 31812, 1163, 1135, 10537, 119, 12237, 1149, 1163, 1518, 1193, 9981, 16410, 1202, 2462, 1363, 3988, 1171, 1135, 26184, 4849, 196, 192, 31812, 1163, 1135, 10553, 119, 27609, 6135, 1324, 1135, 1222, 1370, 186, 31812, 1163, 1135, 19718, 119, 1830, 1350, 11322, 17368, 1202, 2462, 4306, 121, 2438, 2507, 1226, 1135, 1222, 1370, 186, 31812, 8452, 1147, 1135, 8184, 1314, 2499, 1810, 1135, 13798, 190, 1393, 8452, 1147, 1135, 8961, 9690, 2499, 2036, 106, 106, 13543, 11114, 106, 153, 1119, 1206, 180, 1239, 3062, 1806, 1161, 1135, 3602, 14786, 1219, 2580, 13798, 3009, 106, 488, 488, 1173, 1889, 1145, 1119, 6653, 21562, 9143, 133, 106, 488, 488, 1350, 6610, 180, 6653, 21562, 9143, 133, 1198, 2988, 6110, 9243, 1195, 1810, 1204, 1272, 9243, 1195, 1810, 1671, 1569, 192, 9243, 1195, 1810, 1518, 2547, 4384, 1107, 1219, 192, 8740, 1195, 1810, 17617, 9243, 1195, 1810, 1209, 280, 8740, 1195, 1810, 1518, 22887, 9243, 1195, 1810, 106, 488, 488, 16275, 5834, 9641, 3009, 1518, 2547, 4384, 9243, 1195, 1810, 1266, 1569, 7497, 9243, 1195, 1810, 3509, 13199, 1679, 8740, 1195, 1810, 23447, 1154, 8740, 1195, 1810, 11818, 1632, 7901, 8740, 1195, 1810, 1518, 1190, 1569, 1124, 5086, 181, 1195, 1810, 24212, 1124, 5086, 181, 1195, 1810, 106, 488, 488, 4148, 14989, 9641, 3009, 4148, 14989, 1323, 2393, 1195, 1810, 1518, 7392, 1137, 5086, 181, 1195, 1810, 1671, 26311, 9243, 1195, 1810, 1405, 1347, 9243, 1195, 1810, 1518, 2461, 1558, 9243, 1195, 1810, 16275, 1145, 186, 9243, 1195, 1810, 21103, 4384, 1107, 1219, 192, 8740, 1195, 1810, 1671, 1121, 1105, 8740, 1195, 1810, 106, 106, 488, 488, 26184, 4849, 196, 192, 6653, 21562, 9143, 133, 106, 488, 488, 1350, 11322, 17368, 6653, 21562, 9143, 133, 1350, 11322, 17368, 1306, 1258, 280, 119, 1209, 8396, 181, 1195, 1810, 1209, 7641, 5086, 181, 1195, 1810, 1209, 1122, 196, 5086, 181, 1195, 1810, 25359, 17174, 9243, 1195, 1810, 4115, 1145, 5275, 1195, 1810, 1518, 4437, 8740, 1195, 1810, 106, 488, 488, 21636, 5224, 9641, 3009, 16275, 2215, 2461, 8092, 181, 1195, 1810, 2397, 1174, 1174, 8092, 181, 1195, 1810, 11818, 5086, 181, 1195, 1810, 16839, 1255, 5086, 181, 1195, 1810, 1204, 4735, 9243, 16410, 2040, 106, 488, 488, 1173, 1569, 1943, 16410, 6653, 21562, 9143, 133, 106, 488, 488, 14664, 196, 28492, 9641, 3009, 14664, 196, 1569, 3589, 181, 1195, 1810, 1209, 182, 1320, 5086, 181, 1195, 1810, 1350, 178, 1174, 8092, 181, 1195, 1810, 16758, 1705, 8740, 1195, 1810, 2460, 1195, 16461, 8092, 181, 1195, 1810, 30480, 1195, 5086, 181, 1195, 1810, 3870, 185, 5086, 181, 1195, 1810, 1171, 13638, 1174, 5086, 181, 1195, 1810, 106, 488, 488, 1671, 172, 2839, 5224, 9641, 3009, 1209, 2393, 1205, 1569, 8092, 181, 1195, 1810, 24212, 1130, 1137, 8092, 181, 1195, 1810, 1518, 22887, 9243, 1195, 1810, 1518, 2562, 1174, 5086, 181, 1195, 1810, 1671, 1287, 192, 8740, 1195, 1810, 1209, 1164, 1137, 2303, 8740, 1195, 1810, 1306, 15320, 5086, 181, 1195, 1810, 1192, 3074, 1153, 4849, 192, 8740, 1195, 1810, 1306, 2078, 1255, 5086, 181, 1195, 1810, 1171, 1671, 1105, 1193, 1145, 8092, 181, 1195, 2036, 106, 106, 488, 488, 1222, 1370, 186, 6653, 21562, 29854, 1163, 1135, 19718, 119, 8452, 1147, 1135, 8184, 1314, 20461, 1238, 1135, 2017, 5054, 1161, 1135, 26184, 4849, 196, 192, 2168, 4928, 119, 11059, 8261, 1910, 1161, 1135, 1350, 11322, 17368, 6653, 21562, 9143, 133, 20420, 1217, 1370, 186, 1171, 3870, 1174, 1176, 1370, 2086, 106, 106, 1598, 8689, 182, 1569, 192, 9641, 1285, 8452, 10537, 1161, 1135, 1671, 172, 2839, 5224, 1171, 14664, 196, 28492, 31812, 1171, 1910, 1161, 1135, 1173, 1569, 1943, 16410, 6653, 21562, 29854, 1393, 26482, 1161, 3663, 13798, 190, 1171, 3337, 1189, 1109, 16872, 2580, 7804, 190, 1171, 1393, 20886, 1449, 1135, 11318, 1361, 9629, 1161, 9690, 1171, 1135, 9629, 1161, 9690, 6713, 1558, 13199, 1576, 106, 106, 147, 7569, 22489, 1135, 26184, 4849, 196, 192, 16983, 7869, 1135, 4148, 14989, 31812, 1147, 1135, 5756, 5150, 1161, 2019, 5517, 2979, 1135, 2460, 1195, 1992, 192, 4772, 1446, 1173, 1889, 19093, 10660, 1191, 3393, 1156, 8148, 106, 106, 147, 1107, 13769, 106, 140, 15712, 1161, 1135, 4687, 21562, 29854, 12157, 1161, 1135, 4148, 14989, 1323, 2393, 1195, 1810, 16275, 1145, 186, 9243, 16410, 13798, 1285, 1135, 24986, 1910, 1161, 1350, 11322, 17368, 9641, 119, 1171, 1209, 1164, 1137, 2303, 8740, 1195, 1810, 2025, 6648, 1163, 6088, 27662, 1361, 5055, 31051, 4836, 1238, 6942, 488, 125, 129, 119, 488, 125, 123, 125, 124, 119, 5404, 1163, 1789, 8108, 27308, 1457, 2192, 1865, 1463, 1781, 21950, 1226, 2019, 2533, 16772, 3387, 16765, 1324, 1110, 2763, 2533, 16734, 1161, 28930, 6729, 2373, 3939, 2717, 1161, 1758, 1393, 7195, 1641, 11121, 1108, 3078, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 31474, 1206, 180, 6653, 21562, 29854, 1329, 11059, 1135, 26184, 4849, 196, 192, 6653, 21562, 9143, 11560, 1182, 1608, 3195, 1162, 1496, 1239, 1110, 2957, 1161, 13798, 190, 10553, 14654, 1161, 6075, 3100, 2910, 21931, 2955, 192, 1171, 23447, 194, 3100, 16864, 4957, 1135, 26184, 4849, 196, 192, 2168, 4928, 1355, 1135, 24694, 1161, 1135, 1350, 11322, 17368, 2358, 1230, 1171, 1135, 8184, 1314, 2358, 8820, 1988, 11395, 1161, 1135, 1173, 1889, 1145, 1119, 31812, 1163, 1135, 10537, 119, 12237, 1149, 1163, 1518, 1193, 9981, 16410, 1202, 2462, 1363, 3988, 1171, 1135, 26184, 4849, 196, 192, 31812, 1163, 1135, 10553, 119, 27609, 6135, 1324, 1135, 1222, 1370, 186, 31812, 1163, 1135, 19718, 119, 1830, 1350, 11322, 17368, 1202, 2462, 4306, 121, 2438, 2507, 1226, 1135, 1222, 1370, 186, 31812, 8452, 1147, 1135, 8184, 1314, 2499, 1810, 1135, 13798, 190, 1393, 8452, 1147, 1135, 8961, 9690, 2499, 2036, 106, 106, 13543, 11114, 106, 153, 1119, 1206, 180, 1239, 3062, 1806, 1161, 1135, 3602, 14786, 1219, 2580, 13798, 3009, 106, 488, 488, 1173, 1889, 1145, 1119, 6653, 21562, 9143, 133, 106, 488, 488, 1350, 6610, 180, 6653, 21562, 9143, 133, 1198, 2988, 6110, 9243, 1195, 1810, 1204, 1272, 9243, 1195, 1810, 1671, 1569, 192, 9243, 1195, 1810, 1518, 2547, 4384, 1107, 1219, 192, 8740, 1195, 1810, 17617, 9243, 1195, 1810, 1209, 280, 8740, 1195, 1810, 1518, 22887, 9243, 1195, 1810, 106, 488, 488, 16275, 5834, 9641, 3009, 1518, 2547, 4384, 9243, 1195, 1810, 1266, 1569, 7497, 9243, 1195, 1810, 3509, 13199, 1679, 8740, 1195, 1810, 23447, 1154, 8740, 1195, 1810, 11818, 1632, 7901, 8740, 1195, 1810, 1518, 1190, 1569, 1124, 5086, 181, 1195, 1810, 24212, 1124, 5086, 181, 1195, 1810, 106, 488, 488, 4148, 14989, 9641, 3009, 4148, 14989, 1323, 2393, 1195, 1810, 1518, 7392, 1137, 5086, 181, 1195, 1810, 1671, 26311, 9243, 1195, 1810, 1405, 1347, 9243, 1195, 1810, 1518, 2461, 1558, 9243, 1195, 1810, 16275, 1145, 186, 9243, 1195, 1810, 21103, 4384, 1107, 1219, 192, 8740, 1195, 1810, 1671, 1121, 1105, 8740, 1195, 1810, 106, 106, 488, 488, 26184, 4849, 196, 192, 6653, 21562, 9143, 133, 106, 488, 488, 1350, 11322, 17368, 6653, 21562, 9143, 133, 1350, 11322, 17368, 1306, 1258, 280, 119, 1209, 8396, 181, 1195, 1810, 1209, 7641, 5086, 181, 1195, 1810, 1209, 1122, 196, 5086, 181, 1195, 1810, 25359, 17174, 9243, 1195, 1810, 4115, 1145, 5275, 1195, 1810, 1518, 4437, 8740, 1195, 1810, 106, 488, 488, 21636, 5224, 9641, 3009, 16275, 2215, 2461, 8092, 181, 1195, 1810, 2397, 1174, 1174, 8092, 181, 1195, 1810, 11818, 5086, 181, 1195, 1810, 16839, 1255, 5086, 181, 1195, 1810, 1204, 4735, 9243, 16410, 2040, 106, 488, 488, 1173, 1569, 1943, 16410, 6653, 21562, 9143, 133, 106, 488, 488, 14664, 196, 28492, 9641, 3009, 14664, 196, 1569, 3589, 181, 1195, 1810, 1209, 182, 1320, 5086, 181, 1195, 1810, 1350, 178, 1174, 8092, 181, 1195, 1810, 16758, 1705, 8740, 1195, 1810, 2460, 1195, 16461, 8092, 181, 1195, 1810, 30480, 1195, 5086, 181, 1195, 1810, 3870, 185, 5086, 181, 1195, 1810, 1171, 13638, 1174, 5086, 181, 1195, 1810, 106, 488, 488, 1671, 172, 2839, 5224, 9641, 3009, 1209, 2393, 1205, 1569, 8092, 181, 1195, 1810, 24212, 1130, 1137, 8092, 181, 1195, 1810, 1518, 22887, 9243, 1195, 1810, 1518, 2562, 1174, 5086, 181, 1195, 1810, 1671, 1287, 192, 8740, 1195, 1810, 1209, 1164, 1137, 2303, 8740, 1195, 1810, 1306, 15320, 5086, 181, 1195, 1810, 1192, 3074, 1153, 4849, 192, 8740, 1195, 1810, 1306, 2078, 1255, 5086, 181, 1195, 1810, 1171, 1671, 1105, 1193, 1145, 8092, 181, 1195, 2036, 106, 106, 488, 488, 1222, 1370, 186, 6653, 21562, 29854, 1163, 1135, 19718, 119, 8452, 1147, 1135, 8184, 1314, 20461, 1238, 1135, 2017, 5054, 1161, 1135, 26184, 4849, 196, 192, 2168, 4928, 119, 11059, 8261, 1910, 1161, 1135, 1350, 11322, 17368, 6653, 21562, 9143, 133, 20420, 1217, 1370, 186, 1171, 3870, 1174, 1176, 1370, 2086, 106, 106, 1598, 8689, 182, 1569, 192, 9641, 1285, 8452, 10537, 1161, 1135, 1671, 172, 2839, 5224, 1171, 14664, 196, 28492, 31812, 1171, 1910, 1161, 1135, 1173, 1569, 1943, 16410, 6653, 21562, 29854, 1393, 26482, 1161, 3663, 13798, 190, 1171, 3337, 1189, 1109, 16872, 2580, 7804, 190, 1171, 1393, 20886, 1449, 1135, 11318, 1361, 9629, 1161, 9690, 1171, 1135, 9629, 1161, 9690, 6713, 1558, 13199, 1576, 106, 106, 147, 7569, 22489, 1135, 26184, 4849, 196, 192, 16983, 7869, 1135, 4148, 14989, 31812, 1147, 1135, 5756, 5150, 1161, 2019, 5517, 2979, 1135, 2460, 1195, 1992, 192, 4772, 1446, 1173, 1889, 19093, 10660, 1191, 3393, 1156, 8148, 106, 106, 147, 1107, 13769, 106, 140, 15712, 1161, 1135, 4687, 21562, 29854, 12157, 1161, 1135, 4148, 14989, 1323, 2393, 1195, 1810, 16275, 1145, 186, 9243, 16410, 13798, 1285, 1135, 24986, 1910, 1161, 1350, 11322, 17368, 9641, 119, 1171, 1209, 1164, 1137, 2303, 8740, 1195, 1810, 2025, 6648, 1163, 6088, 27662, 1361, 5055, 31051, 4836, 1238, 6942, 488, 125, 129, 119, 488, 125, 123, 125, 124, 119, 5404, 1163, 1789, 8108, 27308, 1457, 2192, 1865, 1463, 1781, 21950, 1226, 2019, 2533, 16772, 3387, 16765, 1324, 1110, 2763, 2533, 16734, 1161, 28930, 6729, 2373, 3939, 2717, 1161, 1758, 1393, 7195, 1641, 11121, 1108, 3078, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 141, 2194, 4000, 2397, 1822, 1208, 1299, 1189, 4607, 1354, 22249, 20206, 11493, 28067, 1125, 15714, 1125, 20024, 1167, 4208, 12397, 1188, 15714, 1304, 5157, 1120, 1192, 1897, 173, 2036, 106, 106, 141, 11741, 106, 141, 2194, 4000, 2397, 1822, 1208, 1299, 5252, 1186, 2605, 1276, 20206, 4654, 1768, 18764, 1189, 11622, 1128, 1186, 7635, 1188, 1158, 5761, 1161, 30500, 11643, 1171, 13013, 20081, 1125, 15714, 1125, 5896, 14279, 14301, 13809, 1304, 9570, 1167, 1125, 3370, 1188, 15714, 1304, 5157, 1120, 1192, 1897, 6945, 19430, 2089, 4428, 1267, 6533, 4134, 22249, 20206, 14662, 1158, 4927, 11990, 119, 1207, 10792, 1167, 1207, 10417, 6646, 1362, 2743, 1207, 7619, 1125, 10351, 2011, 2392, 6218, 17299, 1170, 1408, 9918, 1299, 20360, 1188, 13400, 1125, 12547, 1276, 20206, 1214, 1125, 488, 124, 131, 128, 128, 1188, 488, 124, 132, 132, 124, 121, 106, 106, 5164, 1110, 7723, 244, 1207, 17230, 1125, 28262, 21467, 1125, 1271, 15481, 3520, 1226, 9597, 8838, 8513, 1147, 22349, 1171, 18827, 14016, 1175, 3843, 158, 1825, 140, 1496, 8328, 1227, 5927, 6111, 3833, 1188, 15714, 1304, 5157, 1120, 1192, 1897, 6945, 17440, 4513, 116, 1167, 8328, 1125, 1271, 6913, 9136, 1161, 13820, 20206, 2323, 8201, 1346, 22786, 244, 1188, 1282, 160, 4513, 121, 1768, 1110, 15974, 1170, 12764, 1226, 9597, 20081, 2487, 1527, 1110, 1913, 4637, 1227, 5809, 19334, 1125, 488, 124, 132, 132, 131, 1188, 488, 125, 123, 123, 127, 121, 106, 106, 216, 1561, 6115, 6196, 20251, 4000, 2397, 1822, 1208, 7354, 13787, 8324, 1356, 1286, 6111, 3833, 1188, 1282, 160, 4513, 121, 1768, 1299, 1215, 12168, 3151, 28262, 21467, 1125, 1282, 15297, 1197, 4607, 2624, 14064, 18605, 28262, 21467, 1125, 31805, 1197, 11733, 22249, 20206, 14662, 8325, 7213, 1188, 6659, 24534, 172, 9675, 190, 1161, 26144, 1167, 1110, 1913, 6711, 1227, 5809, 20130, 1125, 19473, 18887, 6461, 1810, 20936, 1317, 12440, 1603, 3850, 106, 106, 22081, 1430, 106, 106, 154, 2886, 9172, 106, 488, 20251, 4000, 2397, 1822, 10645, 1192, 11469, 1161, 19037, 13820, 20206, 4741, 488, 124, 131, 128, 128, 458, 124, 132, 130, 127, 119, 8590, 12879, 9599, 14091, 195, 7362, 1496, 26098, 4017, 8685, 6396, 1276, 1462, 1496, 2571, 5746, 3991, 16362, 4017, 21712, 488, 124, 132, 132, 124, 119, 488, 125, 127, 127, 28890, 2040, 488, 1253, 5108, 1257, 1192, 11469, 1161, 19037, 13820, 20206, 4741, 488, 124, 131, 128, 128, 458, 124, 132, 132, 124, 119, 488, 125, 123, 123, 125, 119, 488, 125, 128, 127, 28890, 106, 488, 20251, 4000, 2397, 1822, 10645, 1202, 9607, 1201, 7223, 14606, 1459, 13820, 20206, 1575, 133, 1863, 1434, 1267, 6489, 9272, 2113, 190, 7223, 27940, 16109, 1655, 1876, 8332, 1136, 1762, 21967, 119, 8590, 12879, 1112, 1762, 22349, 13013, 8201, 1346, 26098, 4017, 21712, 488, 125, 123, 123, 125, 119, 488, 125, 131, 131, 28890, 106, 488, 20251, 4000, 2397, 1822, 10645, 1410, 2722, 1182, 1226, 9597, 1267, 1405, 5847, 9236, 1410, 13820, 20206, 2323, 23377, 21576, 2121, 15732, 488, 124, 132, 129, 123, 120, 124, 132, 130, 127, 119, 21967, 119, 8590, 12879, 1112, 1762, 22349, 13013, 8201, 1346, 488, 125, 123, 124, 127, 119, 488, 126, 124, 130, 1113, 3145, 106, 106, 224, 31752, 106, 488, 20251, 4000, 2397, 1822, 10645, 13159, 178, 177, 6299, 1202, 2108, 194, 1475, 1175, 1740, 121, 1496, 13820, 20206, 1575, 1323, 1410, 26105, 1161, 6411, 22243, 1446, 5371, 13597, 6973, 1146, 14016, 10840, 17440, 1228, 190, 10168, 1496, 1252, 4365, 1175, 5157, 1120, 3991, 16362, 1496, 488, 125, 123, 123, 125, 119, 488, 125, 124, 128, 28890, 2803, 8998, 3925, 1313, 1207, 4670, 2137, 24334, 1276, 20206, 1214, 1186, 3028, 1300, 11687, 1303, 106, 488, 10290, 27397, 1165, 3724, 5544, 12800, 2779, 1135, 1321, 15201, 1161, 18378, 1108, 1141, 1323, 1192, 26483, 1137, 2376, 11469, 1161, 13820, 20206, 1575, 1175, 124, 131, 130, 129, 120, 124, 131, 132, 129, 1496, 16845, 1322, 1246, 1123, 5520, 1325, 1429, 29023, 2765, 488, 125, 123, 123, 125, 119, 488, 129, 131, 131, 28890, 8325, 1348, 1215, 20251, 4000, 2397, 1822, 10645, 1859, 2803, 9365, 1313, 1192, 1876, 20206, 5245, 1186, 3028, 106, 488, 1200, 8255, 1293, 3332, 1171, 1135, 4873, 21774, 1762, 30618, 1226, 9597, 8838, 8513, 119, 2605, 1276, 20206, 2620, 488, 125, 123, 123, 126, 119, 488, 124, 132, 129, 28890, 106, 488, 1671, 175, 4430, 180, 4698, 1242, 1496, 4956, 13820, 20206, 2323, 1248, 1203, 2996, 1192, 7072, 11114, 1161, 18683, 1456, 1671, 175, 4430, 2433, 2571, 5746, 1192, 1897, 6945, 19476, 488, 125, 123, 123, 129, 119, 8325, 1348, 1215, 20251, 4000, 2397, 1822, 10645, 488, 126, 126, 126, 5701, 106, 488, 4911, 18991, 5011, 1171, 8583, 6430, 1147, 13013, 11469, 119, 1410, 12764, 1226, 9597, 8201, 1346, 488, 125, 123, 123, 131, 119, 488, 127, 127, 123, 28890, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 7649, 1125, 1282, 15297, 1197, 4607, 2624, 14064, 1925, 106, 488, 7649, 1125, 1282, 3843, 158, 1825, 140, 106, 488, 7649, 1227, 12764, 1226, 9597, 20081, 106, 488, 7649, 1125, 18887, 14016, 106, 106, 147, 7569, 1354, 22249, 20206, 1354, 106, 147, 7569, 1354, 1125, 6389, 9971, 106, 13606, 1836, 1125, 15714, 1125, 20024, 106, 5347, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 106, 8857, 1829, 1125, 31805, 14064, 2100, 1197, 11733, 32001, 488, 106, 32000, 20036, 106, 141, 2194, 4000, 2397, 1822, 1208, 1239, 1151, 13820, 20206, 2323, 4607, 20101, 1110, 11622, 1230, 1446, 1135, 4017, 1161, 24349, 1171, 1110, 21495, 1355, 2571, 5746, 3991, 16362, 4017, 121, 106, 106, 141, 180, 11114, 106, 141, 2194, 4000, 2397, 1822, 1208, 1463, 9204, 1147, 13820, 20206, 9236, 2133, 18850, 1110, 2708, 143, 1147, 5517, 1446, 1135, 5761, 1161, 30500, 11643, 1171, 13013, 20081, 1355, 1135, 4017, 1161, 5896, 3847, 7013, 15851, 1171, 4533, 8333, 1355, 2571, 5746, 3991, 16362, 4017, 5089, 13820, 20206, 2323, 4607, 180, 2430, 1762, 1135, 6184, 30467, 6208, 1171, 25831, 1285, 1171, 4472, 6358, 29471, 1162, 2701, 1457, 7013, 2481, 14775, 8514, 1870, 1239, 14874, 1163, 1135, 5517, 1161, 13820, 20206, 1575, 1446, 488, 124, 131, 128, 128, 1163, 488, 124, 132, 132, 124, 121, 106, 106, 3780, 1602, 7368, 11326, 2536, 1296, 19195, 6654, 1161, 1135, 29704, 1226, 9597, 8838, 8513, 1147, 22349, 1171, 18827, 14016, 1175, 3843, 158, 1825, 140, 1496, 12384, 1161, 1135, 11469, 8729, 1355, 2571, 5746, 3991, 16362, 4017, 1175, 4513, 160, 1496, 1171, 12384, 1161, 1135, 10840, 1161, 13820, 20206, 2323, 8201, 1346, 14553, 1589, 1324, 1192, 4958, 121, 2133, 20883, 1135, 12764, 1226, 9597, 8201, 1346, 1161, 1758, 1386, 1463, 6654, 1161, 1135, 10479, 1161, 7312, 1500, 1446, 488, 124, 132, 132, 131, 1163, 488, 125, 123, 123, 127, 121, 106, 106, 160, 1614, 28899, 2121, 20251, 4000, 2397, 1822, 1208, 7905, 1110, 18142, 1254, 1707, 1123, 1153, 1161, 11469, 1355, 1192, 4958, 121, 2133, 1959, 19562, 1296, 1135, 8042, 19195, 6654, 1161, 1135, 13013, 1306, 1267, 6533, 1220, 12153, 2071, 19195, 6654, 1161, 1135, 13820, 20206, 2323, 15567, 1161, 18116, 14433, 27694, 1355, 14016, 9675, 190, 1161, 7940, 1285, 1171, 1602, 2023, 1110, 7739, 6644, 1161, 1135, 1173, 2322, 8908, 7564, 9921, 18887, 6461, 2036, 106, 106, 22081, 1430, 106, 106, 14885, 190, 106, 141, 2194, 4000, 2397, 1822, 10645, 1192, 11469, 1161, 19037, 13820, 20206, 4741, 488, 124, 131, 128, 128, 458, 124, 132, 130, 127, 119, 8590, 12879, 9599, 14091, 195, 7362, 1496, 26098, 4017, 8685, 6396, 1276, 1462, 1496, 2571, 5746, 3991, 16362, 4017, 21712, 488, 124, 132, 132, 124, 119, 488, 125, 127, 127, 28890, 2040, 2885, 121, 133, 1192, 11469, 1161, 19037, 13820, 20206, 4741, 488, 124, 131, 128, 128, 458, 124, 132, 132, 124, 119, 488, 125, 123, 123, 125, 119, 488, 125, 128, 127, 28890, 106, 141, 2194, 4000, 11398, 1553, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 141, 2194, 4000, 2397, 1822, 1208, 1239, 1151, 13820, 20206, 2323, 4607, 20101, 1110, 11622, 1230, 1446, 1135, 4017, 1161, 24349, 1171, 1110, 21495, 1355, 2571, 5746, 3991, 16362, 4017, 121, 106, 106, 141, 180, 11114, 106, 141, 2194, 4000, 2397, 1822, 1208, 1463, 9204, 1147, 13820, 20206, 9236, 2133, 18850, 1110, 2708, 143, 1147, 5517, 1446, 1135, 5761, 1161, 30500, 11643, 1171, 13013, 20081, 1355, 1135, 4017, 1161, 5896, 3847, 7013, 15851, 1171, 4533, 8333, 1355, 2571, 5746, 3991, 16362, 4017, 5089, 13820, 20206, 2323, 4607, 180, 2430, 1762, 1135, 6184, 30467, 6208, 1171, 25831, 1285, 1171, 4472, 6358, 29471, 1162, 2701, 1457, 7013, 2481, 14775, 8514, 1870, 1239, 14874, 1163, 1135, 5517, 1161, 13820, 20206, 1575, 1446, 488, 124, 131, 128, 128, 1163, 488, 124, 132, 132, 124, 121, 106, 106, 3780, 1602, 7368, 11326, 2536, 1296, 19195, 6654, 1161, 1135, 29704, 1226, 9597, 8838, 8513, 1147, 22349, 1171, 18827, 14016, 1175, 3843, 158, 1825, 140, 1496, 12384, 1161, 1135, 11469, 8729, 1355, 2571, 5746, 3991, 16362, 4017, 1175, 4513, 160, 1496, 1171, 12384, 1161, 1135, 10840, 1161, 13820, 20206, 2323, 8201, 1346, 14553, 1589, 1324, 1192, 4958, 121, 2133, 20883, 1135, 12764, 1226, 9597, 8201, 1346, 1161, 1758, 1386, 1463, 6654, 1161, 1135, 10479, 1161, 7312, 1500, 1446, 488, 124, 132, 132, 131, 1163, 488, 125, 123, 123, 127, 121, 106, 106, 160, 1614, 28899, 2121, 20251, 4000, 2397, 1822, 1208, 7905, 1110, 18142, 1254, 1707, 1123, 1153, 1161, 11469, 1355, 1192, 4958, 121, 2133, 1959, 19562, 1296, 1135, 8042, 19195, 6654, 1161, 1135, 13013, 1306, 1267, 6533, 1220, 12153, 2071, 19195, 6654, 1161, 1135, 13820, 20206, 2323, 15567, 1161, 18116, 14433, 27694, 1355, 14016, 9675, 190, 1161, 7940, 1285, 1171, 1602, 2023, 1110, 7739, 6644, 1161, 1135, 1173, 2322, 8908, 7564, 9921, 18887, 6461, 2036, 106, 106, 22081, 1430, 106, 106, 14885, 190, 106, 141, 2194, 4000, 2397, 1822, 10645, 1192, 11469, 1161, 19037, 13820, 20206, 4741, 488, 124, 131, 128, 128, 458, 124, 132, 130, 127, 119, 8590, 12879, 9599, 14091, 195, 7362, 1496, 26098, 4017, 8685, 6396, 1276, 1462, 1496, 2571, 5746, 3991, 16362, 4017, 21712, 488, 124, 132, 132, 124, 119, 488, 125, 127, 127, 28890, 2040, 2885, 121, 133, 1192, 11469, 1161, 19037, 13820, 20206, 4741, 488, 124, 131, 128, 128, 458, 124, 132, 132, 124, 119, 488, 125, 123, 123, 125, 119, 488, 125, 128, 127, 28890, 106, 141, 2194, 4000, 11398, 1553, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 114, 161, 1201, 8425, 3373, 114, 6047, 17453, 133, 14642, 1124, 1325, 5275, 175, 1186, 2397, 5275, 29164, 1239, 1110, 8996, 2323, 3497, 17336, 1310, 6537, 1302, 1463, 1959, 1135, 3781, 1151, 2653, 184, 1161, 8996, 2323, 7114, 2181, 27885, 1147, 488, 124, 132, 123, 128, 119, 1135, 6537, 1463, 1355, 1704, 2151, 2629, 1296, 1110, 3497, 17336, 1310, 14170, 1449, 1135, 1248, 1398, 4045, 4210, 3041, 106, 106, 1598, 26695, 190, 1161, 1135, 6537, 2025, 6794, 1449, 8399, 1401, 1410, 1259, 18104, 1645, 2653, 10557, 1175, 124, 131, 127, 123, 120, 124, 132, 123, 130, 116, 1171, 1135, 4501, 1463, 26482, 1449, 9228, 4379, 1839, 11275, 4189, 9269, 1494, 1175, 124, 131, 125, 131, 120, 124, 132, 123, 131, 1576, 106, 106, 151, 196, 1766, 190, 106, 1598, 14851, 1557, 2942, 1238, 1171, 11648, 2019, 3270, 1182, 3807, 106, 16886, 1149, 1110, 1624, 7889, 1226, 1447, 134, 106, 2812, 2591, 119, 1171, 1448, 9451, 106, 26165, 23814, 1500, 1171, 1789, 2907, 1249, 1132, 2478, 1696, 121, 106, 2103, 2582, 1680, 4985, 1239, 3810, 119, 1147, 1110, 1624, 13842, 106, 1598, 5271, 1302, 12018, 1421, 1602, 2678, 1427, 1680, 9020, 133, 106, 106, 152, 2528, 13170, 2420, 3733, 1186, 16791, 1310, 13628, 106, 159, 1246, 3656, 6339, 1429, 8975, 196, 1161, 1421, 134, 106, 146, 1259, 9472, 4075, 8996, 3282, 106, 5675, 2019, 7472, 108, 106, 106, 11504, 2102, 11621, 119, 1296, 2632, 1296, 2102, 8585, 5899, 106, 1924, 2244, 9486, 1680, 13024, 1147, 1870, 134, 106, 5675, 1680, 5885, 19761, 1355, 2600, 6017, 106, 4858, 1680, 3998, 10737, 1171, 15795, 2283, 4349, 121, 106, 6079, 1680, 9180, 2060, 6156, 190, 1171, 1300, 187, 13148, 2019, 3772, 1285, 106, 13766, 6409, 2141, 1110, 16695, 119, 2127, 1624, 3018, 3009, 106, 106, 152, 2528, 25765, 3733, 1186, 16791, 1310, 13628, 106, 159, 1246, 3656, 6339, 1429, 8975, 196, 1161, 1421, 134, 106, 146, 1259, 9472, 4075, 8996, 3282, 106, 5675, 2019, 7472, 108, 106, 106, 154, 1166, 10779, 4985, 119, 1143, 179, 4985, 1161, 23814, 1500, 106, 1598, 1187, 14530, 1128, 1171, 10699, 1537, 1127, 2066, 1156, 1341, 134, 106, 5675, 4490, 1329, 1288, 5567, 1680, 1113, 2662, 23928, 1583, 2501, 106, 15522, 1163, 6148, 4834, 10298, 1135, 30306, 2621, 121, 106, 6079, 1957, 3343, 15285, 20946, 119, 1970, 1393, 14900, 106, 2702, 2086, 13413, 2420, 7738, 1331, 6963, 1583, 21382, 1680, 1386, 8339, 3009, 106, 106, 22385, 3703, 31538, 1213, 2064, 1186, 16791, 1310, 13628, 106, 159, 1246, 3656, 6339, 1429, 8975, 196, 1161, 1421, 134, 106, 146, 1259, 1583, 9472, 8996, 3282, 106, 5675, 2019, 7472, 108, 106, 106, 143, 17453, 3451, 106, 1598, 6537, 1239, 4494, 14642, 1124, 1144, 5275, 175, 1186, 2207, 5275, 175, 1147, 28857, 121, 106, 106, 1598, 1907, 27361, 1104, 1449, 1171, 4656, 24247, 1135, 3585, 106, 26327, 1624, 1107, 5377, 2148, 182, 1105, 1447, 106, 155, 1486, 175, 1269, 1448, 2591, 1171, 4957, 1135, 7248, 106, 2812, 1583, 1856, 19727, 1230, 1969, 2478, 1121, 2662, 5993, 177, 1495, 1201, 106, 6079, 1680, 4985, 1239, 3810, 3037, 106, 10517, 3517, 7250, 190, 1421, 1110, 1492, 1345, 106, 4282, 4175, 1296, 1110, 3018, 106, 26327, 1680, 9020, 1239, 2678, 1427, 106, 106, 8180, 3191, 106, 3681, 3642, 6791, 119, 7121, 1196, 21852, 1701, 106, 142, 18322, 1212, 1171, 4075, 119, 9822, 1269, 2737, 1147, 2737, 106, 146, 1259, 1186, 2619, 190, 1147, 1765, 9814, 1149, 1135, 8996, 11502, 106, 4929, 2588, 1171, 5687, 106, 106, 11504, 2102, 11621, 1296, 2632, 1296, 16272, 1171, 9874, 3849, 106, 147, 1435, 4348, 10281, 1680, 1131, 4045, 2488, 1870, 106, 5675, 2216, 1421, 5772, 1171, 7406, 4490, 1171, 9875, 106, 141, 17207, 1680, 19590, 15474, 1346, 1680, 24247, 106, 6079, 1680, 2623, 1109, 5768, 15972, 4397, 18876, 106, 3952, 1135, 1300, 6070, 10699, 106, 151, 1130, 1341, 7558, 25820, 106, 151, 4962, 1110, 4014, 8553, 27357, 106, 106, 8180, 3191, 106, 106, 154, 1166, 10779, 7435, 1161, 1135, 23814, 1500, 114, 28427, 1171, 4985, 106, 2103, 2364, 1789, 14530, 1128, 1171, 1789, 10699, 13196, 1226, 1447, 106, 162, 30150, 6289, 1329, 2470, 10801, 12886, 1171, 15577, 16090, 106, 1598, 1187, 23928, 1583, 30136, 1147, 9814, 1972, 106, 144, 1549, 1411, 4851, 20946, 1446, 14208, 16136, 8975, 196, 106, 10517, 1393, 14900, 2000, 1583, 4149, 9472, 1135, 1386, 8339, 106, 106, 8180, 3191, 106, 106, 1891, 9520, 106, 155, 9736, 20878, 6537, 106, 147, 7569, 1146, 3781, 1151, 2653, 184, 106, 141, 27092, 2323, 3624, 13228, 106, 1428, 17316, 1129, 5011, 1161, 23840, 106, 142, 1510, 1172, 1983, 4501, 6047, 11101, 116, 106, 141, 27092, 2323, 6537, 106, 141, 27092, 2323, 23840, 114, 32001, 488, 106, 32000, 20036, 106, 161, 1201, 8425, 3373, 24051, 1107, 18131, 133, 14642, 1124, 1325, 5275, 175, 1186, 2397, 5275, 29164, 1299, 1318, 15038, 3497, 17336, 1960, 20120, 1357, 2985, 2072, 4428, 3291, 1245, 3781, 1227, 23840, 2729, 17659, 7699, 1303, 1186, 488, 124, 132, 123, 128, 119, 1158, 15038, 2985, 1189, 2658, 13409, 1856, 14170, 3497, 17336, 1960, 1215, 1170, 9221, 1169, 195, 23767, 106, 106, 4455, 25229, 1125, 1158, 15038, 2004, 1913, 5617, 1104, 1215, 8399, 1401, 1410, 1259, 18104, 1645, 2653, 10557, 1175, 124, 131, 127, 123, 120, 124, 132, 123, 130, 1576, 1643, 7585, 1299, 1125, 9228, 4379, 1839, 11275, 4189, 9269, 1494, 1175, 124, 131, 125, 131, 1323, 488, 124, 132, 123, 131, 1576, 106, 106, 2951, 4042, 106, 2606, 6298, 10096, 1167, 9824, 1909, 1225, 1132, 1376, 106, 15895, 1557, 5725, 1318, 13703, 3643, 134, 106, 15895, 1170, 2419, 7816, 1167, 1646, 1646, 4086, 3015, 1285, 106, 153, 1180, 1110, 250, 4814, 1167, 1964, 26960, 1229, 2907, 1249, 15937, 106, 26692, 5412, 2429, 1299, 4170, 119, 1313, 1189, 2854, 3631, 119, 106, 18263, 1342, 3373, 1357, 14942, 20185, 1110, 1264, 3634, 5412, 28127, 1334, 133, 106, 106, 24338, 1512, 13170, 31453, 11594, 6730, 3725, 106, 161, 1201, 1197, 3351, 1554, 1106, 8002, 1125, 11375, 134, 106, 143, 2466, 31116, 1158, 6772, 13702, 106, 11699, 1594, 27396, 1590, 106, 106, 159, 172, 9186, 1113, 1558, 4951, 8398, 1309, 27770, 31304, 106, 17971, 2498, 1279, 1107, 242, 1370, 7899, 3811, 9473, 134, 106, 11699, 8362, 21853, 1513, 2457, 1188, 3219, 1382, 106, 159, 1105, 27410, 1167, 7899, 1131, 1774, 2283, 4349, 121, 106, 26692, 7899, 5148, 4128, 6993, 1167, 11203, 1123, 1909, 3653, 4542, 106, 161, 17839, 2992, 1810, 1856, 1189, 29792, 119, 1186, 1197, 1127, 25977, 5443, 1257, 106, 106, 24338, 1512, 1166, 8851, 119, 11594, 6730, 3725, 106, 161, 1201, 1197, 3351, 1554, 1106, 8002, 1125, 11375, 134, 106, 143, 2466, 31116, 1158, 6772, 13702, 106, 11699, 1594, 27396, 1590, 106, 106, 154, 7877, 1114, 1262, 3212, 488, 255, 7877, 1197, 1110, 250, 4814, 106, 2606, 1392, 1114, 1277, 1392, 1167, 1964, 9701, 30476, 13283, 2348, 134, 106, 11699, 7477, 1362, 1268, 8566, 15291, 1258, 8362, 8658, 1113, 15828, 106, 147, 1105, 1121, 1659, 27426, 1187, 1158, 5450, 2348, 121, 106, 26692, 1197, 21849, 11895, 8495, 119, 1527, 1186, 1299, 1215, 12721, 106, 156, 12118, 10768, 7846, 24526, 12581, 31118, 5034, 8362, 31808, 1201, 1257, 106, 106, 161, 172, 2130, 2490, 14934, 7763, 11594, 6730, 3725, 106, 161, 1201, 1197, 3351, 1554, 1106, 8002, 1125, 11375, 134, 106, 143, 2466, 1561, 10103, 11499, 1158, 13702, 106, 11699, 1594, 27396, 1590, 106, 106, 9397, 26561, 2621, 4964, 106, 2606, 14170, 11102, 1378, 14642, 1124, 1144, 5275, 175, 1186, 2207, 5275, 175, 1186, 26561, 18131, 121, 106, 106, 2524, 1111, 5275, 175, 1499, 186, 1156, 191, 1386, 1108, 1186, 1138, 1569, 1129, 1169, 13152, 1125, 1158, 1119, 106, 162, 172, 1124, 1143, 1387, 1139, 2466, 194, 1371, 1111, 5275, 8221, 1238, 190, 1144, 1108, 5657, 106, 162, 5275, 3035, 8408, 20121, 1186, 2207, 1770, 1108, 3279, 190, 1125, 21843, 1119, 106, 3466, 2174, 1708, 1320, 1164, 181, 1347, 1152, 4744, 1108, 1185, 1156, 1108, 5657, 106, 5018, 1426, 194, 1138, 1451, 184, 15569, 1498, 27321, 106, 146, 15128, 1163, 1210, 1144, 20042, 1426, 21035, 1609, 1265, 106, 3681, 190, 21035, 14122, 14704, 2207, 186, 1185, 8570, 106, 162, 172, 1124, 1426, 194, 1152, 14726, 1290, 172, 1128, 6180, 24977, 106, 106, 8180, 3191, 106, 3593, 1707, 29548, 1635, 1106, 1562, 1371, 7200, 8408, 106, 152, 186, 1156, 1205, 1186, 1152, 1164, 181, 17241, 2737, 1147, 2737, 106, 146, 1259, 9760, 6926, 5563, 1147, 2207, 5275, 185, 27189, 8408, 4140, 5371, 8408, 106, 161, 1121, 1243, 1186, 4985, 106, 106, 160, 194, 1115, 1678, 1152, 1807, 2207, 1246, 1140, 19491, 1498, 1916, 1186, 9874, 181, 175, 106, 3780, 176, 1812, 1426, 194, 6590, 1267, 1108, 6180, 21073, 3260, 181, 20256, 14122, 5657, 106, 1686, 9276, 1185, 5275, 9233, 1214, 187, 1186, 3358, 194, 1208, 1144, 5275, 175, 1186, 2207, 5275, 175, 106, 143, 1154, 1193, 191, 1426, 194, 1184, 1107, 1333, 181, 1347, 1139, 13357, 1859, 1426, 194, 4592, 5657, 106, 165, 194, 6932, 1426, 194, 1464, 1107, 2122, 1139, 1334, 194, 106, 161, 18104, 20256, 2167, 1660, 3706, 6848, 1156, 106, 3562, 1128, 20256, 1609, 4043, 1294, 1137, 106, 3681, 190, 21035, 1152, 189, 2547, 191, 173, 1532, 1152, 1728, 1156, 106, 106, 8180, 3191, 106, 106, 154, 1386, 1142, 114, 1315, 1638, 1414, 4140, 3811, 1217, 3099, 2543, 1196, 1186, 3358, 194, 106, 143, 18104, 19960, 2207, 7415, 1186, 19960, 6848, 1156, 1238, 190, 2824, 182, 2416, 1108, 106, 4858, 14248, 1161, 9995, 1166, 1108, 2207, 1770, 1108, 1166, 1118, 1186, 10621, 194, 106, 147, 1145, 1245, 2207, 1105, 1108, 1280, 15049, 1108, 1147, 27189, 8408, 106, 162, 5275, 5657, 5035, 1107, 1108, 1426, 1123, 15569, 1163, 1210, 23325, 1379, 1205, 1185, 1104, 13889, 1379, 106, 165, 5275, 185, 2543, 1227, 1493, 1274, 1108, 3396, 13152, 1186, 3231, 2021, 8676, 5452, 8844, 1379, 106, 106, 8180, 3191, 106, 106, 20634, 1167, 5474, 106, 106, 2330, 30181, 5846, 2009, 106, 147, 3291, 1245, 3781, 10777, 106, 153, 1162, 10224, 20120, 106, 6921, 16421, 1227, 23840, 106, 152, 1153, 1460, 7668, 1172, 4964, 6700, 10178, 116, 106, 2330, 30181, 20120, 106, 142, 14828, 20120, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 161, 1201, 8425, 3373, 24051, 1107, 18131, 133, 14642, 1124, 1325, 5275, 175, 1186, 2397, 5275, 29164, 1299, 1318, 15038, 3497, 17336, 1960, 20120, 1357, 2985, 2072, 4428, 3291, 1245, 3781, 1227, 23840, 2729, 17659, 7699, 1303, 1186, 488, 124, 132, 123, 128, 119, 1158, 15038, 2985, 1189, 2658, 13409, 1856, 14170, 3497, 17336, 1960, 1215, 1170, 9221, 1169, 195, 23767, 106, 106, 4455, 25229, 1125, 1158, 15038, 2004, 1913, 5617, 1104, 1215, 8399, 1401, 1410, 1259, 18104, 1645, 2653, 10557, 1175, 124, 131, 127, 123, 120, 124, 132, 123, 130, 1576, 1643, 7585, 1299, 1125, 9228, 4379, 1839, 11275, 4189, 9269, 1494, 1175, 124, 131, 125, 131, 1323, 488, 124, 132, 123, 131, 1576, 106, 106, 2951, 4042, 106, 2606, 6298, 10096, 1167, 9824, 1909, 1225, 1132, 1376, 106, 15895, 1557, 5725, 1318, 13703, 3643, 134, 106, 15895, 1170, 2419, 7816, 1167, 1646, 1646, 4086, 3015, 1285, 106, 153, 1180, 1110, 250, 4814, 1167, 1964, 26960, 1229, 2907, 1249, 15937, 106, 26692, 5412, 2429, 1299, 4170, 119, 1313, 1189, 2854, 3631, 119, 106, 18263, 1342, 3373, 1357, 14942, 20185, 1110, 1264, 3634, 5412, 28127, 1334, 133, 106, 106, 24338, 1512, 13170, 31453, 11594, 6730, 3725, 106, 161, 1201, 1197, 3351, 1554, 1106, 8002, 1125, 11375, 134, 106, 143, 2466, 31116, 1158, 6772, 13702, 106, 11699, 1594, 27396, 1590, 106, 106, 159, 172, 9186, 1113, 1558, 4951, 8398, 1309, 27770, 31304, 106, 17971, 2498, 1279, 1107, 242, 1370, 7899, 3811, 9473, 134, 106, 11699, 8362, 21853, 1513, 2457, 1188, 3219, 1382, 106, 159, 1105, 27410, 1167, 7899, 1131, 1774, 2283, 4349, 121, 106, 26692, 7899, 5148, 4128, 6993, 1167, 11203, 1123, 1909, 3653, 4542, 106, 161, 17839, 2992, 1810, 1856, 1189, 29792, 119, 1186, 1197, 1127, 25977, 5443, 1257, 106, 106, 24338, 1512, 1166, 8851, 119, 11594, 6730, 3725, 106, 161, 1201, 1197, 3351, 1554, 1106, 8002, 1125, 11375, 134, 106, 143, 2466, 31116, 1158, 6772, 13702, 106, 11699, 1594, 27396, 1590, 106, 106, 154, 7877, 1114, 1262, 3212, 488, 255, 7877, 1197, 1110, 250, 4814, 106, 2606, 1392, 1114, 1277, 1392, 1167, 1964, 9701, 30476, 13283, 2348, 134, 106, 11699, 7477, 1362, 1268, 8566, 15291, 1258, 8362, 8658, 1113, 15828, 106, 147, 1105, 1121, 1659, 27426, 1187, 1158, 5450, 2348, 121, 106, 26692, 1197, 21849, 11895, 8495, 119, 1527, 1186, 1299, 1215, 12721, 106, 156, 12118, 10768, 7846, 24526, 12581, 31118, 5034, 8362, 31808, 1201, 1257, 106, 106, 161, 172, 2130, 2490, 14934, 7763, 11594, 6730, 3725, 106, 161, 1201, 1197, 3351, 1554, 1106, 8002, 1125, 11375, 134, 106, 143, 2466, 1561, 10103, 11499, 1158, 13702, 106, 11699, 1594, 27396, 1590, 106, 106, 9397, 26561, 2621, 4964, 106, 2606, 14170, 11102, 1378, 14642, 1124, 1144, 5275, 175, 1186, 2207, 5275, 175, 1186, 26561, 18131, 121, 106, 106, 2524, 1111, 5275, 175, 1499, 186, 1156, 191, 1386, 1108, 1186, 1138, 1569, 1129, 1169, 13152, 1125, 1158, 1119, 106, 162, 172, 1124, 1143, 1387, 1139, 2466, 194, 1371, 1111, 5275, 8221, 1238, 190, 1144, 1108, 5657, 106, 162, 5275, 3035, 8408, 20121, 1186, 2207, 1770, 1108, 3279, 190, 1125, 21843, 1119, 106, 3466, 2174, 1708, 1320, 1164, 181, 1347, 1152, 4744, 1108, 1185, 1156, 1108, 5657, 106, 5018, 1426, 194, 1138, 1451, 184, 15569, 1498, 27321, 106, 146, 15128, 1163, 1210, 1144, 20042, 1426, 21035, 1609, 1265, 106, 3681, 190, 21035, 14122, 14704, 2207, 186, 1185, 8570, 106, 162, 172, 1124, 1426, 194, 1152, 14726, 1290, 172, 1128, 6180, 24977, 106, 106, 8180, 3191, 106, 3593, 1707, 29548, 1635, 1106, 1562, 1371, 7200, 8408, 106, 152, 186, 1156, 1205, 1186, 1152, 1164, 181, 17241, 2737, 1147, 2737, 106, 146, 1259, 9760, 6926, 5563, 1147, 2207, 5275, 185, 27189, 8408, 4140, 5371, 8408, 106, 161, 1121, 1243, 1186, 4985, 106, 106, 160, 194, 1115, 1678, 1152, 1807, 2207, 1246, 1140, 19491, 1498, 1916, 1186, 9874, 181, 175, 106, 3780, 176, 1812, 1426, 194, 6590, 1267, 1108, 6180, 21073, 3260, 181, 20256, 14122, 5657, 106, 1686, 9276, 1185, 5275, 9233, 1214, 187, 1186, 3358, 194, 1208, 1144, 5275, 175, 1186, 2207, 5275, 175, 106, 143, 1154, 1193, 191, 1426, 194, 1184, 1107, 1333, 181, 1347, 1139, 13357, 1859, 1426, 194, 4592, 5657, 106, 165, 194, 6932, 1426, 194, 1464, 1107, 2122, 1139, 1334, 194, 106, 161, 18104, 20256, 2167, 1660, 3706, 6848, 1156, 106, 3562, 1128, 20256, 1609, 4043, 1294, 1137, 106, 3681, 190, 21035, 1152, 189, 2547, 191, 173, 1532, 1152, 1728, 1156, 106, 106, 8180, 3191, 106, 106, 154, 1386, 1142, 114, 1315, 1638, 1414, 4140, 3811, 1217, 3099, 2543, 1196, 1186, 3358, 194, 106, 143, 18104, 19960, 2207, 7415, 1186, 19960, 6848, 1156, 1238, 190, 2824, 182, 2416, 1108, 106, 4858, 14248, 1161, 9995, 1166, 1108, 2207, 1770, 1108, 1166, 1118, 1186, 10621, 194, 106, 147, 1145, 1245, 2207, 1105, 1108, 1280, 15049, 1108, 1147, 27189, 8408, 106, 162, 5275, 5657, 5035, 1107, 1108, 1426, 1123, 15569, 1163, 1210, 23325, 1379, 1205, 1185, 1104, 13889, 1379, 106, 165, 5275, 185, 2543, 1227, 1493, 1274, 1108, 3396, 13152, 1186, 3231, 2021, 8676, 5452, 8844, 1379, 106, 106, 8180, 3191, 106, 106, 20634, 1167, 5474, 106, 106, 2330, 30181, 5846, 2009, 106, 147, 3291, 1245, 3781, 10777, 106, 153, 1162, 10224, 20120, 106, 6921, 16421, 1227, 23840, 106, 152, 1153, 1460, 7668, 1172, 4964, 6700, 10178, 116, 106, 2330, 30181, 20120, 106, 142, 14828, 20120, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 7829, 1204, 8092, 129, 119, 6229, 31303, 2579, 1306, 1472, 116, 1239, 1110, 29234, 17835, 1208, 14259, 5192, 1386, 1380, 1273, 5661, 1324, 2019, 30683, 5096, 2019, 1940, 15295, 1147, 488, 124, 132, 128, 130, 121, 2068, 5630, 21676, 1341, 20642, 1375, 2155, 1135, 15580, 10219, 1386, 1380, 21429, 1226, 2060, 488, 124, 123, 3162, 1663, 1959, 1135, 1940, 29234, 22226, 1314, 1386, 1380, 1273, 7526, 29347, 1132, 12591, 2025, 19375, 3545, 15295, 2126, 1285, 2536, 1296, 23913, 1110, 18727, 1161, 1859, 1110, 7915, 9295, 2095, 1135, 8465, 7915, 1161, 1135, 10219, 2081, 3441, 1651, 7203, 1386, 1380, 21429, 1161, 1302, 6605, 1135, 1173, 2461, 1500, 6200, 5050, 120, 128, 127, 8755, 5451, 3948, 2596, 106, 106, 4479, 1442, 106, 1428, 488, 124, 132, 128, 127, 119, 1135, 3569, 158, 157, 8492, 26372, 1110, 14259, 5192, 1386, 1380, 21429, 1226, 3251, 6805, 2323, 1171, 10215, 26570, 1410, 1940, 30683, 5868, 1684, 1226, 1135, 1940, 1907, 1238, 1939, 29279, 5733, 19744, 2025, 4489, 1377, 2128, 119, 11179, 1449, 488, 126, 123, 1578, 6777, 3409, 19744, 121, 106, 106, 2101, 3409, 1161, 1413, 1386, 1380, 21429, 9977, 1427, 4945, 488, 124, 132, 131, 124, 121, 106, 106, 27844, 16763, 106, 4515, 1239, 23510, 2718, 1449, 2019, 14313, 1111, 7158, 1171, 5054, 8374, 1302, 20281, 1163, 488, 125, 123, 112, 1161, 1135, 3983, 28125, 9512, 18598, 1439, 15295, 1576, 30128, 2141, 2717, 7829, 1386, 1380, 9478, 2563, 1341, 1602, 1110, 488, 128, 120, 2014, 2240, 2274, 1708, 3521, 121, 106, 106, 4282, 1110, 10215, 5192, 1386, 1380, 1273, 5661, 1135, 1204, 8092, 129, 1526, 10592, 1806, 1163, 488, 130, 123, 10153, 27390, 15713, 2996, 10141, 1239, 2488, 1135, 25380, 22522, 1560, 7070, 1410, 1204, 8092, 129, 1526, 1959, 5192, 3564, 1329, 1113, 5738, 1117, 14793, 10215, 5438, 1297, 1459, 6805, 2323, 3451, 119, 1135, 1204, 8092, 129, 1526, 10592, 1806, 1163, 488, 124, 125, 123, 22211, 1175, 129, 128, 1147, 1110, 8215, 1324, 4184, 2316, 26763, 1576, 1410, 10860, 18727, 12631, 1239, 1939, 1459, 1110, 27305, 8923, 3451, 119, 1135, 1204, 8092, 129, 1526, 10592, 1806, 1163, 488, 127, 124, 24140, 1201, 1171, 2197, 2925, 1156, 19625, 1192, 3438, 1149, 19203, 8452, 2670, 1135, 18912, 1140, 1272, 1526, 28125, 1110, 5438, 1161, 1939, 106, 106, 10442, 2638, 2179, 1239, 1296, 1110, 27305, 2669, 17381, 11294, 1135, 7829, 4571, 1602, 9828, 4129, 23417, 1135, 1204, 8092, 124, 123, 119, 1226, 1413, 2262, 1161, 5601, 121, 1410, 1204, 8092, 129, 1239, 1375, 4835, 2629, 1163, 17382, 1352, 1531, 1387, 4812, 25658, 3093, 2470, 1789, 4985, 2241, 106, 106, 2524, 2553, 1525, 106, 4515, 1463, 1704, 1161, 1135, 3821, 8316, 1147, 1135, 1539, 1608, 1383, 3340, 29435, 119, 4957, 1324, 1135, 1204, 8092, 125, 129, 121, 1410, 19744, 1463, 2629, 1296, 1110, 7544, 1163, 11388, 1114, 8255, 3075, 119, 1171, 2017, 7136, 2060, 1135, 1169, 10897, 2470, 1135, 16452, 10062, 3743, 4674, 488, 129, 19744, 2025, 2629, 121, 14320, 24695, 1436, 4835, 5682, 10345, 1589, 1144, 1112, 1784, 190, 1393, 26132, 12367, 4230, 1135, 5458, 1231, 6233, 1161, 1135, 25002, 7070, 106, 106, 161, 1201, 1764, 106, 152, 8092, 129, 133, 16768, 106, 152, 8092, 129, 24302, 16768, 106, 152, 8092, 129, 155, 133, 1352, 4725, 5192, 106, 152, 8092, 129, 5900, 133, 14788, 1171, 1432, 22097, 106, 152, 8092, 129, 155, 165, 133, 11799, 177, 1580, 1149, 106, 152, 8092, 129, 27731, 14916, 3516, 1183, 192, 2071, 27390, 1324, 488, 127, 124, 24140, 1201, 106, 152, 8092, 129, 159, 7933, 1472, 4379, 3568, 6302, 16763, 2922, 1147, 9524, 9355, 106, 152, 8092, 129, 161, 150, 155, 7933, 1472, 3551, 3568, 13537, 2936, 106, 152, 8092, 129, 161, 3488, 8783, 8092, 125, 125, 7933, 1472, 3926, 3568, 19037, 2928, 4021, 2936, 106, 152, 8092, 129, 164, 172, 4506, 7933, 1472, 4853, 3568, 11496, 13730, 1324, 1110, 5054, 20762, 1124, 106, 106, 20353, 106, 152, 1142, 20838, 7992, 106, 5318, 19744, 119, 7406, 1147, 1135, 3569, 158, 157, 1147, 2060, 488, 131, 129, 123, 8390, 1285, 1463, 2217, 5459, 1163, 2717, 31480, 1988, 1239, 1579, 8540, 1147, 28335, 2424, 1147, 1135, 488, 125, 123, 125, 123, 1297, 106, 106, 142, 1289, 1142, 7992, 106, 140, 4782, 2307, 1190, 106, 12281, 1132, 133, 488, 126, 1204, 8092, 129, 140, 106, 106, 21320, 1959, 106, 2474, 1161, 1386, 1380, 9478, 1201, 106, 106, 8839, 190, 106, 152, 8092, 129, 12864, 4710, 1430, 1238, 28990, 1146, 3551, 6225, 106, 140, 1187, 17522, 1446, 27741, 1254, 1507, 179, 2589, 106, 152, 1142, 1204, 8092, 129, 1355, 1305, 9236, 189, 1908, 6871, 4286, 11345, 1117, 1641, 1147, 6938, 116, 106, 5449, 1190, 1180, 1161, 13059, 3553, 1171, 21301, 106, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 13386, 15295, 1147, 488, 124, 132, 128, 130, 121, 32001, 488, 106, 32000, 20036, 106, 2606, 7829, 1204, 8092, 129, 119, 3471, 1451, 1350, 159, 1901, 1306, 1472, 116, 1299, 1189, 17602, 1380, 9478, 1450, 1125, 5192, 26554, 1125, 11615, 24696, 1960, 2487, 1170, 30683, 1844, 1594, 3151, 3035, 1186, 488, 124, 132, 128, 130, 121, 8281, 1125, 9569, 1859, 1527, 1299, 2377, 244, 3672, 1408, 1125, 488, 124, 123, 2165, 2081, 5125, 1170, 1408, 2511, 17602, 1380, 9478, 1450, 1227, 2854, 1723, 2072, 1170, 3151, 17602, 1380, 9478, 1450, 1188, 22226, 1314, 24696, 17285, 1814, 4093, 2510, 1125, 12591, 15935, 11203, 1120, 1317, 3285, 1197, 26520, 1186, 3035, 1856, 22058, 1715, 2519, 3812, 14571, 1125, 1859, 1318, 14707, 13052, 1188, 1158, 14707, 1188, 4231, 1227, 1408, 2511, 17602, 1380, 9478, 1450, 2081, 24696, 1960, 1125, 1816, 3391, 19108, 1170, 1173, 2461, 1500, 6200, 5050, 120, 128, 127, 8755, 5451, 3948, 2596, 106, 106, 2272, 2092, 488, 106, 1686, 488, 124, 132, 128, 127, 119, 1282, 2188, 4365, 24889, 21141, 31514, 2335, 17602, 1380, 9478, 1450, 1125, 5192, 26554, 1256, 1189, 9631, 6805, 2072, 1906, 1309, 11894, 121, 1548, 3151, 30683, 1805, 1815, 172, 1256, 1158, 3453, 2768, 1170, 1939, 1165, 21932, 15277, 1125, 4764, 15935, 20107, 3392, 17844, 15935, 6349, 2419, 1120, 1125, 488, 126, 123, 15277, 1125, 1838, 1550, 2596, 106, 106, 3562, 4052, 1125, 3371, 17602, 1380, 9478, 1450, 2138, 172, 22571, 488, 124, 132, 131, 124, 121, 106, 106, 20616, 21198, 488, 106, 106, 5164, 1281, 28606, 1186, 6564, 1215, 1909, 5426, 12959, 20138, 1392, 1167, 1197, 1110, 1399, 8185, 4123, 16737, 1357, 31389, 1256, 488, 125, 123, 112, 1188, 1158, 2515, 1336, 12808, 7216, 3035, 1125, 8308, 1774, 1576, 1867, 1408, 1527, 11358, 1856, 1125, 5087, 17602, 1380, 9478, 2805, 7829, 1189, 1708, 3521, 7774, 1188, 488, 128, 6385, 1457, 106, 106, 1686, 4083, 1980, 179, 29977, 9478, 1450, 1125, 5192, 5846, 3693, 1170, 1204, 8092, 129, 1915, 1809, 12402, 7328, 488, 130, 123, 24028, 6428, 4413, 2576, 4432, 1281, 1844, 1215, 1158, 4665, 15013, 1125, 1158, 7078, 4994, 1548, 1204, 8092, 129, 1915, 2445, 1809, 12402, 1197, 9859, 18536, 3035, 31981, 3027, 1362, 1113, 25609, 2011, 6002, 1653, 3451, 24795, 1170, 1204, 8092, 129, 1915, 1895, 12402, 7328, 488, 124, 125, 123, 1931, 9715, 1175, 129, 128, 1186, 3451, 1469, 27022, 2262, 31733, 1125, 3028, 1576, 1643, 3812, 14571, 14809, 4655, 9422, 12669, 1939, 1653, 3451, 1166, 14249, 3035, 2851, 1170, 1204, 8092, 129, 1915, 1895, 12402, 7328, 488, 127, 124, 2167, 1452, 3656, 1167, 2069, 5890, 1203, 1452, 25941, 1814, 3664, 25576, 26438, 28489, 8446, 2290, 1170, 18912, 1140, 1272, 1915, 2024, 15629, 1318, 3812, 1125, 1939, 106, 106, 6880, 1145, 1197, 17691, 15279, 1299, 3977, 1125, 1638, 1277, 3035, 2009, 1906, 1309, 1158, 3385, 7829, 9195, 15519, 1256, 1440, 2262, 1125, 12632, 1189, 3419, 1644, 25891, 1170, 1204, 8092, 124, 123, 121, 1548, 1204, 8092, 129, 12425, 1186, 6564, 1188, 19829, 1207, 25658, 3093, 14685, 2137, 1352, 1531, 1387, 2750, 1964, 1355, 1213, 189, 1470, 5533, 106, 106, 14421, 1272, 1525, 488, 106, 5164, 2985, 1469, 1170, 1204, 148, 120, 125, 129, 6113, 1197, 11046, 13212, 1392, 1125, 1158, 30249, 1125, 19933, 1608, 1383, 3340, 121, 2576, 1562, 14307, 1746, 1123, 1125, 29098, 1256, 5313, 2904, 1114, 4496, 20607, 1167, 2905, 3519, 19227, 1227, 1338, 21339, 2750, 3871, 1291, 1180, 10062, 3767, 2864, 488, 129, 15277, 2004, 1913, 1945, 4413, 1548, 1392, 3391, 7887, 22902, 11675, 6768, 5682, 10345, 4321, 1508, 17294, 1188, 4550, 1317, 5545, 1125, 1158, 6233, 5147, 12509, 1227, 1338, 21339, 121, 106, 106, 161, 1201, 1764, 488, 106, 1204, 8092, 129, 1257, 16768, 106, 1204, 8092, 129, 140, 1257, 16768, 106, 1204, 8092, 129, 155, 1257, 16768, 1125, 1352, 4725, 106, 1204, 8092, 129, 5900, 1257, 18612, 1167, 12252, 1130, 1272, 106, 1204, 8092, 129, 155, 165, 1257, 20890, 1148, 2714, 1207, 3000, 1274, 1429, 106, 1204, 8092, 129, 158, 1257, 29305, 1183, 10878, 5721, 22051, 27606, 1125, 488, 127, 124, 4059, 3123, 106, 1204, 8092, 129, 159, 7933, 1472, 4379, 116, 1257, 17530, 5026, 30942, 1197, 9355, 1125, 9524, 106, 1204, 8092, 129, 161, 150, 155, 7933, 1472, 3551, 116, 1257, 14886, 1148, 1125, 5759, 1160, 106, 1204, 8092, 129, 161, 3488, 8783, 8092, 125, 125, 7933, 1472, 3926, 116, 1257, 14886, 1148, 1125, 5759, 1160, 6184, 4160, 106, 1204, 8092, 129, 164, 172, 4506, 7933, 1472, 4853, 116, 1257, 1222, 1190, 244, 2335, 20762, 1124, 4123, 8464, 106, 106, 11516, 2518, 488, 106, 106, 11516, 2518, 18536, 106, 142, 1130, 12184, 13826, 1186, 1405, 157, 4365, 1186, 1408, 1125, 488, 131, 129, 123, 23073, 1110, 1913, 10591, 244, 1313, 1125, 5087, 19105, 1768, 4249, 1408, 1186, 2424, 10317, 4930, 1313, 1207, 4092, 488, 125, 123, 125, 123, 121, 106, 488, 106, 488, 106, 488, 106, 488, 106, 106, 11516, 2518, 4059, 2312, 106, 488, 1192, 4782, 2307, 1190, 106, 488, 6555, 1132, 1257, 488, 126, 1204, 8092, 129, 140, 106, 106, 8036, 2072, 488, 106, 151, 2038, 1197, 17602, 1380, 9478, 2805, 106, 106, 28870, 488, 106, 106, 15606, 4403, 1204, 8092, 129, 1300, 28990, 1146, 3551, 6225, 106, 15779, 4111, 31652, 121, 1125, 9905, 27741, 1254, 1507, 179, 2589, 106, 152, 1142, 1204, 8092, 129, 1280, 180, 1305, 9236, 189, 1908, 6871, 4286, 11345, 1117, 3250, 1186, 9400, 116, 106, 5449, 1190, 1180, 1125, 28347, 1167, 1125, 16186, 106, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 155, 26503, 3035, 1186, 488, 124, 132, 128, 130, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 7829, 1204, 8092, 129, 119, 3471, 1451, 1350, 159, 1901, 1306, 1472, 116, 1299, 1189, 17602, 1380, 9478, 1450, 1125, 5192, 26554, 1125, 11615, 24696, 1960, 2487, 1170, 30683, 1844, 1594, 3151, 3035, 1186, 488, 124, 132, 128, 130, 121, 8281, 1125, 9569, 1859, 1527, 1299, 2377, 244, 3672, 1408, 1125, 488, 124, 123, 2165, 2081, 5125, 1170, 1408, 2511, 17602, 1380, 9478, 1450, 1227, 2854, 1723, 2072, 1170, 3151, 17602, 1380, 9478, 1450, 1188, 22226, 1314, 24696, 17285, 1814, 4093, 2510, 1125, 12591, 15935, 11203, 1120, 1317, 3285, 1197, 26520, 1186, 3035, 1856, 22058, 1715, 2519, 3812, 14571, 1125, 1859, 1318, 14707, 13052, 1188, 1158, 14707, 1188, 4231, 1227, 1408, 2511, 17602, 1380, 9478, 1450, 2081, 24696, 1960, 1125, 1816, 3391, 19108, 1170, 1173, 2461, 1500, 6200, 5050, 120, 128, 127, 8755, 5451, 3948, 2596, 106, 106, 2272, 2092, 488, 106, 1686, 488, 124, 132, 128, 127, 119, 1282, 2188, 4365, 24889, 21141, 31514, 2335, 17602, 1380, 9478, 1450, 1125, 5192, 26554, 1256, 1189, 9631, 6805, 2072, 1906, 1309, 11894, 121, 1548, 3151, 30683, 1805, 1815, 172, 1256, 1158, 3453, 2768, 1170, 1939, 1165, 21932, 15277, 1125, 4764, 15935, 20107, 3392, 17844, 15935, 6349, 2419, 1120, 1125, 488, 126, 123, 15277, 1125, 1838, 1550, 2596, 106, 106, 3562, 4052, 1125, 3371, 17602, 1380, 9478, 1450, 2138, 172, 22571, 488, 124, 132, 131, 124, 121, 106, 106, 20616, 21198, 488, 106, 106, 5164, 1281, 28606, 1186, 6564, 1215, 1909, 5426, 12959, 20138, 1392, 1167, 1197, 1110, 1399, 8185, 4123, 16737, 1357, 31389, 1256, 488, 125, 123, 112, 1188, 1158, 2515, 1336, 12808, 7216, 3035, 1125, 8308, 1774, 1576, 1867, 1408, 1527, 11358, 1856, 1125, 5087, 17602, 1380, 9478, 2805, 7829, 1189, 1708, 3521, 7774, 1188, 488, 128, 6385, 1457, 106, 106, 1686, 4083, 1980, 179, 29977, 9478, 1450, 1125, 5192, 5846, 3693, 1170, 1204, 8092, 129, 1915, 1809, 12402, 7328, 488, 130, 123, 24028, 6428, 4413, 2576, 4432, 1281, 1844, 1215, 1158, 4665, 15013, 1125, 1158, 7078, 4994, 1548, 1204, 8092, 129, 1915, 2445, 1809, 12402, 1197, 9859, 18536, 3035, 31981, 3027, 1362, 1113, 25609, 2011, 6002, 1653, 3451, 24795, 1170, 1204, 8092, 129, 1915, 1895, 12402, 7328, 488, 124, 125, 123, 1931, 9715, 1175, 129, 128, 1186, 3451, 1469, 27022, 2262, 31733, 1125, 3028, 1576, 1643, 3812, 14571, 14809, 4655, 9422, 12669, 1939, 1653, 3451, 1166, 14249, 3035, 2851, 1170, 1204, 8092, 129, 1915, 1895, 12402, 7328, 488, 127, 124, 2167, 1452, 3656, 1167, 2069, 5890, 1203, 1452, 25941, 1814, 3664, 25576, 26438, 28489, 8446, 2290, 1170, 18912, 1140, 1272, 1915, 2024, 15629, 1318, 3812, 1125, 1939, 106, 106, 6880, 1145, 1197, 17691, 15279, 1299, 3977, 1125, 1638, 1277, 3035, 2009, 1906, 1309, 1158, 3385, 7829, 9195, 15519, 1256, 1440, 2262, 1125, 12632, 1189, 3419, 1644, 25891, 1170, 1204, 8092, 124, 123, 121, 1548, 1204, 8092, 129, 12425, 1186, 6564, 1188, 19829, 1207, 25658, 3093, 14685, 2137, 1352, 1531, 1387, 2750, 1964, 1355, 1213, 189, 1470, 5533, 106, 106, 14421, 1272, 1525, 488, 106, 5164, 2985, 1469, 1170, 1204, 148, 120, 125, 129, 6113, 1197, 11046, 13212, 1392, 1125, 1158, 30249, 1125, 19933, 1608, 1383, 3340, 121, 2576, 1562, 14307, 1746, 1123, 1125, 29098, 1256, 5313, 2904, 1114, 4496, 20607, 1167, 2905, 3519, 19227, 1227, 1338, 21339, 2750, 3871, 1291, 1180, 10062, 3767, 2864, 488, 129, 15277, 2004, 1913, 1945, 4413, 1548, 1392, 3391, 7887, 22902, 11675, 6768, 5682, 10345, 4321, 1508, 17294, 1188, 4550, 1317, 5545, 1125, 1158, 6233, 5147, 12509, 1227, 1338, 21339, 121, 106, 106, 161, 1201, 1764, 488, 106, 1204, 8092, 129, 1257, 16768, 106, 1204, 8092, 129, 140, 1257, 16768, 106, 1204, 8092, 129, 155, 1257, 16768, 1125, 1352, 4725, 106, 1204, 8092, 129, 5900, 1257, 18612, 1167, 12252, 1130, 1272, 106, 1204, 8092, 129, 155, 165, 1257, 20890, 1148, 2714, 1207, 3000, 1274, 1429, 106, 1204, 8092, 129, 158, 1257, 29305, 1183, 10878, 5721, 22051, 27606, 1125, 488, 127, 124, 4059, 3123, 106, 1204, 8092, 129, 159, 7933, 1472, 4379, 116, 1257, 17530, 5026, 30942, 1197, 9355, 1125, 9524, 106, 1204, 8092, 129, 161, 150, 155, 7933, 1472, 3551, 116, 1257, 14886, 1148, 1125, 5759, 1160, 106, 1204, 8092, 129, 161, 3488, 8783, 8092, 125, 125, 7933, 1472, 3926, 116, 1257, 14886, 1148, 1125, 5759, 1160, 6184, 4160, 106, 1204, 8092, 129, 164, 172, 4506, 7933, 1472, 4853, 116, 1257, 1222, 1190, 244, 2335, 20762, 1124, 4123, 8464, 106, 106, 11516, 2518, 488, 106, 106, 11516, 2518, 18536, 106, 142, 1130, 12184, 13826, 1186, 1405, 157, 4365, 1186, 1408, 1125, 488, 131, 129, 123, 23073, 1110, 1913, 10591, 244, 1313, 1125, 5087, 19105, 1768, 4249, 1408, 1186, 2424, 10317, 4930, 1313, 1207, 4092, 488, 125, 123, 125, 123, 121, 106, 488, 106, 488, 106, 488, 106, 488, 106, 106, 11516, 2518, 4059, 2312, 106, 488, 1192, 4782, 2307, 1190, 106, 488, 6555, 1132, 1257, 488, 126, 1204, 8092, 129, 140, 106, 106, 8036, 2072, 488, 106, 151, 2038, 1197, 17602, 1380, 9478, 2805, 106, 106, 28870, 488, 106, 106, 15606, 4403, 1204, 8092, 129, 1300, 28990, 1146, 3551, 6225, 106, 15779, 4111, 31652, 121, 1125, 9905, 27741, 1254, 1507, 179, 2589, 106, 152, 1142, 1204, 8092, 129, 1280, 180, 1305, 9236, 189, 1908, 6871, 4286, 11345, 1117, 3250, 1186, 9400, 116, 106, 5449, 1190, 1180, 1125, 28347, 1167, 1125, 16186, 106, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 152, 1142, 1204, 8092, 123, 129, 106, 155, 26503, 3035, 1186, 488, 124, 132, 128, 130, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 158, 1121, 24601, 1362, 16010, 24601, 7879, 119, 9601, 1186, 2829, 488, 124, 131, 129, 131, 1188, 2482, 15671, 1299, 1170, 3151, 5878, 5843, 10884, 23521, 1571, 17941, 5068, 106, 106, 17696, 1314, 488, 106, 2606, 3755, 3594, 1679, 7424, 1227, 1874, 13677, 26839, 2335, 11342, 19778, 1188, 3862, 1197, 22538, 1690, 1362, 1197, 1338, 2507, 20262, 1125, 6344, 10369, 14853, 28265, 30927, 1768, 1915, 2445, 2782, 1913, 16098, 1856, 1189, 6706, 15923, 1188, 1606, 3594, 21190, 3133, 1189, 20751, 244, 1227, 3755, 25803, 3594, 1121, 1362, 25605, 121, 3559, 3419, 2034, 24398, 1125, 3594, 24601, 1281, 6682, 1450, 1317, 6706, 1606, 7874, 19311, 1524, 1186, 4123, 4537, 3450, 1299, 7008, 1754, 18742, 1317, 16877, 1114, 280, 3740, 1256, 1606, 3274, 1524, 1362, 1606, 1360, 20241, 1348, 4821, 106, 106, 30609, 488, 106, 1686, 488, 124, 131, 129, 131, 119, 1158, 19383, 1167, 9943, 2038, 20533, 1165, 20063, 5523, 9282, 1269, 20912, 1170, 5878, 16010, 24601, 1188, 2482, 4524, 121, 1768, 1299, 3042, 13644, 1125, 22542, 4634, 2487, 10935, 1314, 29074, 4748, 1318, 1317, 1148, 1278, 1256, 4661, 1167, 1252, 17075, 20652, 119, 21091, 1632, 13565, 121, 4060, 14990, 1281, 7353, 1318, 5401, 1188, 1189, 28471, 1977, 16142, 1215, 1170, 2482, 4524, 8685, 7879, 119, 1189, 2879, 22645, 1342, 4974, 3559, 13502, 1186, 4428, 12132, 1125, 18480, 1167, 19383, 8179, 25410, 12581, 1188, 5685, 1207, 5247, 30375, 1256, 1158, 8146, 14255, 1382, 1913, 4062, 3649, 1457, 1548, 5878, 1299, 24161, 15974, 1186, 2749, 488, 124, 131, 129, 132, 121, 2576, 11900, 1299, 1125, 21169, 1207, 5736, 15996, 19137, 15561, 1167, 12078, 1197, 5247, 1186, 19888, 1186, 2567, 1197, 9744, 10439, 1120, 1313, 1282, 13774, 1158, 14580, 119, 1158, 7332, 1167, 1207, 5736, 5888, 1457, 1548, 3274, 1281, 1892, 2214, 7670, 1300, 1207, 12291, 6331, 1125, 1909, 4634, 121, 106, 106, 140, 7537, 1165, 1626, 7354, 1158, 3453, 12752, 121, 1653, 1189, 24231, 16010, 24601, 2803, 488, 124, 123, 123, 4634, 121, 1548, 5878, 1288, 2368, 31185, 1382, 1125, 3657, 1362, 1227, 3090, 1125, 7596, 1197, 23866, 1527, 18449, 2964, 1272, 1856, 1189, 14123, 2585, 1207, 5247, 2830, 1281, 13579, 16351, 1167, 6143, 3711, 1197, 2005, 6002, 4787, 3213, 11742, 5263, 2915, 3080, 1129, 17713, 19119, 1964, 5865, 5878, 16010, 24601, 1856, 1188, 6284, 12487, 9361, 106, 106, 158, 1121, 24601, 1299, 15974, 1158, 2076, 5910, 1309, 1170, 2482, 12689, 31552, 1361, 7879, 1215, 4389, 1575, 1325, 1379, 3671, 2596, 8673, 1309, 2770, 26316, 6903, 16421, 1346, 1207, 2069, 10773, 1281, 15977, 4018, 3825, 1227, 19398, 2094, 3207, 16191, 1125, 21396, 2585, 1207, 5247, 23706, 1408, 16421, 1346, 2368, 9714, 2647, 1129, 1313, 1170, 2854, 31091, 1508, 2625, 1104, 1313, 1197, 6969, 1338, 1434, 4195, 1167, 2368, 15973, 1129, 1317, 4764, 5097, 121, 106, 106, 1686, 488, 124, 131, 132, 123, 119, 1207, 7740, 192, 1473, 1125, 1408, 1125, 488, 129, 123, 14596, 9943, 1554, 1571, 9864, 1508, 6169, 1429, 1215, 16010, 24601, 1256, 6459, 1158, 18409, 7400, 1197, 14596, 1125, 23866, 2445, 3413, 1303, 1215, 20533, 1165, 20063, 5523, 9282, 7281, 1643, 30624, 1110, 1256, 5601, 21253, 2282, 1207, 14596, 11349, 1188, 4534, 2368, 25953, 1167, 1188, 9963, 6231, 1300, 1207, 8758, 1125, 29136, 1149, 1256, 1197, 1338, 13761, 12078, 1167, 5987, 29558, 106, 106, 8857, 3576, 1375, 2234, 488, 106, 106, 20047, 11818, 1201, 3454, 2765, 2958, 1630, 3402, 1167, 19383, 106, 16515, 1165, 13532, 2958, 1630, 3402, 1167, 3453, 12752, 1227, 16010, 24601, 1125, 2482, 4524, 106, 6427, 18121, 2908, 1263, 106, 20533, 1165, 20063, 5523, 9282, 3733, 19383, 1167, 3453, 28262, 1234, 9438, 1227, 16010, 24601, 2482, 4524, 106, 1252, 17075, 20652, 119, 21091, 1632, 106, 30121, 10427, 119, 3347, 1790, 3212, 10337, 1535, 1774, 1167, 1332, 1216, 8117, 3453, 14698, 1227, 16010, 24601, 2482, 4524, 106, 1252, 1783, 1214, 11040, 1293, 1383, 3476, 6711, 1227, 5809, 7993, 5341, 1125, 1158, 3837, 1125, 3621, 1387, 17381, 11535, 1125, 1158, 10651, 1125, 21285, 30360, 1349, 1121, 10313, 15133, 1285, 12752, 1167, 20129, 1774, 106, 18439, 1214, 1125, 1158, 4304, 2288, 1214, 1200, 5945, 4280, 6517, 1146, 3556, 1167, 12752, 1227, 16010, 24601, 2482, 4524, 106, 7831, 22191, 5260, 145, 1124, 12906, 1317, 1148, 1278, 1167, 15996, 7886, 106, 1863, 12910, 8486, 7747, 7219, 1206, 106, 10935, 1314, 29074, 4748, 1317, 1148, 1278, 1256, 4661, 106, 30121, 1252, 4876, 23019, 14720, 15996, 7886, 106, 3122, 5149, 20047, 11040, 119, 23313, 6843, 2944, 12752, 1227, 12033, 23290, 106, 2708, 4970, 1897, 20533, 1233, 20114, 1652, 1325, 15801, 12304, 106, 106, 147, 1356, 13769, 488, 106, 6880, 11365, 1227, 12988, 1188, 6284, 25088, 1522, 2845, 1318, 4405, 11697, 19957, 1256, 1170, 15327, 1227, 16010, 24601, 1188, 6284, 12487, 9361, 1643, 4405, 17657, 1207, 4092, 488, 124, 132, 125, 126, 1188, 488, 124, 132, 132, 124, 1167, 16431, 1197, 3412, 1300, 1207, 4634, 1167, 1207, 5736, 1227, 5878, 11129, 1188, 4759, 1197, 7669, 1429, 1167, 1197, 1894, 192, 7324, 106, 106, 20634, 1167, 5474, 488, 106, 106, 15297, 1362, 20636, 15923, 1317, 9943, 2923, 1571, 9864, 106, 143, 5548, 1197, 5247, 106, 15297, 16512, 1186, 488, 124, 131, 129, 131, 106, 145, 18700, 2038, 13900, 106, 155, 7849, 1902, 30284, 13900, 106, 145, 18700, 2923, 106, 30609, 1197, 9864, 1317, 26851, 6298, 121, 32001, 488, 106, 32000, 20036, 106, 158, 1121, 24601, 1329, 16010, 24601, 7879, 119, 5772, 1147, 5696, 488, 124, 131, 129, 131, 1147, 2482, 15671, 1239, 1135, 1940, 8801, 1543, 2874, 1320, 1366, 5878, 1147, 1135, 4909, 26550, 106, 106, 17696, 1109, 106, 1598, 3610, 3594, 24601, 6227, 1446, 1135, 13677, 1119, 1926, 2220, 1161, 1110, 11342, 16864, 1446, 1135, 1143, 2842, 1429, 1329, 1169, 2507, 20262, 1161, 15130, 28633, 1131, 5795, 24277, 1988, 2277, 1959, 1537, 2023, 1191, 16252, 1296, 1110, 6326, 7633, 1163, 5207, 1121, 1121, 1406, 2546, 1110, 24894, 1985, 1161, 1135, 14136, 3610, 3594, 1121, 1329, 17969, 121, 19292, 2034, 24398, 1161, 3594, 24601, 26628, 1163, 1135, 14136, 6326, 1235, 1193, 14938, 2392, 109, 1988, 1239, 11059, 16799, 1163, 1135, 21736, 1114, 280, 3740, 1226, 1235, 7987, 109, 1329, 1235, 1885, 20241, 1406, 2758, 106, 106, 24436, 106, 1428, 488, 124, 131, 129, 131, 119, 6601, 1267, 1171, 29762, 1267, 20533, 1165, 20063, 5523, 9282, 1269, 22255, 1135, 16010, 24601, 5878, 1147, 2482, 4524, 121, 1988, 1463, 19089, 26482, 1161, 6402, 30507, 5641, 3813, 10935, 1314, 29074, 4748, 1110, 27473, 4767, 119, 1171, 1252, 17075, 20652, 119, 1110, 7015, 5454, 22676, 2192, 14990, 1463, 1110, 3860, 1163, 1110, 22832, 22255, 1449, 1135, 2482, 4524, 8685, 7879, 1110, 3677, 23493, 1659, 1147, 12886, 1161, 4767, 1171, 6601, 1267, 8179, 25410, 12581, 1163, 1758, 5718, 4645, 1147, 1135, 5338, 2025, 1375, 22130, 121, 1410, 5878, 1463, 28156, 20883, 1147, 6324, 488, 124, 131, 129, 132, 119, 1324, 1135, 4833, 1161, 29165, 1135, 18235, 119, 2453, 2726, 1171, 3056, 10669, 1161, 5718, 1449, 17708, 1149, 10439, 3522, 5897, 9667, 1147, 29080, 18938, 119, 31010, 1171, 7633, 3573, 1297, 1410, 2957, 14810, 8386, 1269, 1238, 1135, 5822, 12291, 1161, 2019, 2226, 22513, 106, 106, 140, 7537, 1165, 1626, 7905, 1135, 1940, 10283, 121, 4956, 1109, 1110, 8641, 16010, 24601, 2055, 488, 124, 123, 123, 2226, 22513, 1410, 5878, 2876, 1375, 27044, 8300, 1147, 22959, 1329, 22615, 4001, 3277, 134, 1341, 1463, 6332, 1296, 1110, 14123, 2468, 5718, 2592, 13583, 1171, 13735, 4181, 6631, 9453, 4950, 15635, 1959, 20883, 1789, 3022, 16010, 24601, 5878, 1285, 2536, 1296, 1147, 6284, 12487, 9361, 106, 106, 158, 1121, 24601, 1463, 20883, 1135, 2994, 1976, 1296, 1135, 2482, 12689, 31552, 1361, 7879, 1449, 4389, 1575, 1325, 1379, 3671, 2596, 14256, 1789, 2050, 1430, 2025, 8090, 3310, 3251, 15202, 26283, 1163, 4765, 1135, 14103, 1806, 1122, 10646, 1161, 1135, 1907, 2043, 5718, 2025, 14702, 1792, 8090, 3310, 9492, 1147, 1135, 8801, 13842, 6103, 1147, 15916, 1267, 2957, 1285, 1171, 10936, 1147, 5822, 3069, 3041, 106, 106, 1428, 488, 124, 131, 132, 123, 119, 27326, 2026, 1446, 1792, 2095, 488, 129, 123, 22615, 14596, 1147, 1135, 4909, 6716, 2025, 9969, 6135, 1449, 16010, 24601, 1163, 1830, 1135, 8619, 22279, 1162, 1161, 24938, 7879, 1285, 1959, 3413, 1589, 1449, 20533, 1165, 20063, 5523, 9282, 7281, 1410, 1131, 10236, 1162, 1361, 5601, 1463, 1163, 2661, 3447, 14596, 4233, 2447, 2075, 1171, 1870, 6135, 1238, 29136, 1149, 8758, 1226, 3056, 1171, 5303, 1132, 15916, 1297, 106, 106, 6006, 1364, 23975, 488, 106, 144, 17633, 11818, 1201, 3454, 2765, 21975, 1171, 6601, 1267, 106, 140, 7537, 1165, 13532, 21975, 1171, 1940, 10283, 1161, 16010, 24601, 2482, 4524, 106, 6171, 18121, 2908, 1263, 106, 149, 2988, 1165, 20063, 5523, 9282, 3733, 6601, 1267, 1171, 1940, 12497, 10283, 1161, 16010, 24601, 2482, 4524, 106, 145, 17075, 20652, 119, 5454, 1267, 106, 150, 1230, 10427, 119, 6601, 13808, 15048, 1136, 1659, 1171, 1332, 16310, 119, 1940, 7685, 1626, 1161, 16010, 24601, 2482, 4524, 106, 145, 1783, 1214, 11040, 1293, 1383, 3476, 6644, 1161, 1135, 3621, 1387, 2988, 5100, 3875, 2612, 4748, 13155, 1161, 30360, 1349, 1121, 10313, 23861, 1972, 17511, 22889, 10283, 1171, 5582, 1141, 4411, 106, 149, 2334, 1214, 1125, 1158, 4304, 2288, 1214, 1200, 5945, 4280, 6517, 18351, 1171, 10283, 1161, 16010, 24601, 2482, 4524, 106, 161, 1187, 22191, 5260, 145, 1124, 12906, 4767, 1171, 5468, 2111, 106, 1891, 12910, 8486, 7747, 7219, 1206, 106, 149, 27505, 1314, 29074, 4748, 27473, 4767, 106, 150, 1230, 1252, 4876, 23019, 14720, 5468, 2111, 106, 5018, 5149, 20047, 11040, 119, 7444, 5661, 5814, 19807, 10283, 106, 5449, 4970, 1897, 20533, 1233, 20114, 1652, 1325, 15801, 6517, 18351, 106, 106, 2606, 178, 4676, 106, 1598, 4017, 1161, 12988, 1355, 6284, 25088, 21642, 1110, 4405, 1161, 12591, 1226, 1135, 6284, 25088, 17632, 1161, 16010, 1180, 5068, 1410, 4405, 1499, 1220, 1446, 488, 124, 132, 125, 126, 1163, 488, 124, 132, 132, 124, 1171, 7134, 3033, 1238, 1135, 5641, 1171, 10669, 1161, 1135, 5878, 20785, 2488, 7669, 190, 1171, 3152, 3194, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 1121, 24601, 1329, 16010, 24601, 7879, 119, 5772, 1147, 5696, 488, 124, 131, 129, 131, 1147, 2482, 15671, 1239, 1135, 1940, 8801, 1543, 2874, 1320, 1366, 5878, 1147, 1135, 4909, 26550, 106, 106, 17696, 1109, 106, 1598, 3610, 3594, 24601, 6227, 1446, 1135, 13677, 1119, 1926, 2220, 1161, 1110, 11342, 16864, 1446, 1135, 1143, 2842, 1429, 1329, 1169, 2507, 20262, 1161, 15130, 28633, 1131, 5795, 24277, 1988, 2277, 1959, 1537, 2023, 1191, 16252, 1296, 1110, 6326, 7633, 1163, 5207, 1121, 1121, 1406, 2546, 1110, 24894, 1985, 1161, 1135, 14136, 3610, 3594, 1121, 1329, 17969, 121, 19292, 2034, 24398, 1161, 3594, 24601, 26628, 1163, 1135, 14136, 6326, 1235, 1193, 14938, 2392, 109, 1988, 1239, 11059, 16799, 1163, 1135, 21736, 1114, 280, 3740, 1226, 1235, 7987, 109, 1329, 1235, 1885, 20241, 1406, 2758, 106, 106, 24436, 106, 1428, 488, 124, 131, 129, 131, 119, 6601, 1267, 1171, 29762, 1267, 20533, 1165, 20063, 5523, 9282, 1269, 22255, 1135, 16010, 24601, 5878, 1147, 2482, 4524, 121, 1988, 1463, 19089, 26482, 1161, 6402, 30507, 5641, 3813, 10935, 1314, 29074, 4748, 1110, 27473, 4767, 119, 1171, 1252, 17075, 20652, 119, 1110, 7015, 5454, 22676, 2192, 14990, 1463, 1110, 3860, 1163, 1110, 22832, 22255, 1449, 1135, 2482, 4524, 8685, 7879, 1110, 3677, 23493, 1659, 1147, 12886, 1161, 4767, 1171, 6601, 1267, 8179, 25410, 12581, 1163, 1758, 5718, 4645, 1147, 1135, 5338, 2025, 1375, 22130, 121, 1410, 5878, 1463, 28156, 20883, 1147, 6324, 488, 124, 131, 129, 132, 119, 1324, 1135, 4833, 1161, 29165, 1135, 18235, 119, 2453, 2726, 1171, 3056, 10669, 1161, 5718, 1449, 17708, 1149, 10439, 3522, 5897, 9667, 1147, 29080, 18938, 119, 31010, 1171, 7633, 3573, 1297, 1410, 2957, 14810, 8386, 1269, 1238, 1135, 5822, 12291, 1161, 2019, 2226, 22513, 106, 106, 140, 7537, 1165, 1626, 7905, 1135, 1940, 10283, 121, 4956, 1109, 1110, 8641, 16010, 24601, 2055, 488, 124, 123, 123, 2226, 22513, 1410, 5878, 2876, 1375, 27044, 8300, 1147, 22959, 1329, 22615, 4001, 3277, 134, 1341, 1463, 6332, 1296, 1110, 14123, 2468, 5718, 2592, 13583, 1171, 13735, 4181, 6631, 9453, 4950, 15635, 1959, 20883, 1789, 3022, 16010, 24601, 5878, 1285, 2536, 1296, 1147, 6284, 12487, 9361, 106, 106, 158, 1121, 24601, 1463, 20883, 1135, 2994, 1976, 1296, 1135, 2482, 12689, 31552, 1361, 7879, 1449, 4389, 1575, 1325, 1379, 3671, 2596, 14256, 1789, 2050, 1430, 2025, 8090, 3310, 3251, 15202, 26283, 1163, 4765, 1135, 14103, 1806, 1122, 10646, 1161, 1135, 1907, 2043, 5718, 2025, 14702, 1792, 8090, 3310, 9492, 1147, 1135, 8801, 13842, 6103, 1147, 15916, 1267, 2957, 1285, 1171, 10936, 1147, 5822, 3069, 3041, 106, 106, 1428, 488, 124, 131, 132, 123, 119, 27326, 2026, 1446, 1792, 2095, 488, 129, 123, 22615, 14596, 1147, 1135, 4909, 6716, 2025, 9969, 6135, 1449, 16010, 24601, 1163, 1830, 1135, 8619, 22279, 1162, 1161, 24938, 7879, 1285, 1959, 3413, 1589, 1449, 20533, 1165, 20063, 5523, 9282, 7281, 1410, 1131, 10236, 1162, 1361, 5601, 1463, 1163, 2661, 3447, 14596, 4233, 2447, 2075, 1171, 1870, 6135, 1238, 29136, 1149, 8758, 1226, 3056, 1171, 5303, 1132, 15916, 1297, 106, 106, 6006, 1364, 23975, 488, 106, 144, 17633, 11818, 1201, 3454, 2765, 21975, 1171, 6601, 1267, 106, 140, 7537, 1165, 13532, 21975, 1171, 1940, 10283, 1161, 16010, 24601, 2482, 4524, 106, 6171, 18121, 2908, 1263, 106, 149, 2988, 1165, 20063, 5523, 9282, 3733, 6601, 1267, 1171, 1940, 12497, 10283, 1161, 16010, 24601, 2482, 4524, 106, 145, 17075, 20652, 119, 5454, 1267, 106, 150, 1230, 10427, 119, 6601, 13808, 15048, 1136, 1659, 1171, 1332, 16310, 119, 1940, 7685, 1626, 1161, 16010, 24601, 2482, 4524, 106, 145, 1783, 1214, 11040, 1293, 1383, 3476, 6644, 1161, 1135, 3621, 1387, 2988, 5100, 3875, 2612, 4748, 13155, 1161, 30360, 1349, 1121, 10313, 23861, 1972, 17511, 22889, 10283, 1171, 5582, 1141, 4411, 106, 149, 2334, 1214, 1125, 1158, 4304, 2288, 1214, 1200, 5945, 4280, 6517, 18351, 1171, 10283, 1161, 16010, 24601, 2482, 4524, 106, 161, 1187, 22191, 5260, 145, 1124, 12906, 4767, 1171, 5468, 2111, 106, 1891, 12910, 8486, 7747, 7219, 1206, 106, 149, 27505, 1314, 29074, 4748, 27473, 4767, 106, 150, 1230, 1252, 4876, 23019, 14720, 5468, 2111, 106, 5018, 5149, 20047, 11040, 119, 7444, 5661, 5814, 19807, 10283, 106, 5449, 4970, 1897, 20533, 1233, 20114, 1652, 1325, 15801, 6517, 18351, 106, 106, 2606, 178, 4676, 106, 1598, 4017, 1161, 12988, 1355, 6284, 25088, 21642, 1110, 4405, 1161, 12591, 1226, 1135, 6284, 25088, 17632, 1161, 16010, 1180, 5068, 1410, 4405, 1499, 1220, 1446, 488, 124, 132, 125, 126, 1163, 488, 124, 132, 132, 124, 1171, 7134, 3033, 1238, 1135, 5641, 1171, 10669, 1161, 1135, 5878, 20785, 2488, 7669, 190, 1171, 3152, 3194, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 12181, 488, 128, 19039, 1239, 1110, 4710, 19039, 19484, 1147, 20583, 11859, 10613, 3891, 121, 1988, 1239, 7368, 1894, 4660, 1147, 7262, 3545, 1135, 16522, 24380, 2468, 24823, 141, 20473, 11843, 1185, 1495, 1657, 14835, 11197, 1239, 1163, 4366, 1267, 4005, 10971, 21828, 21748, 8316, 5684, 3390, 1297, 106, 106, 1598, 19484, 9075, 2019, 2220, 1446, 2019, 2320, 1147, 1135, 21828, 8238, 3039, 121, 1410, 23303, 21748, 19039, 119, 7368, 2600, 1976, 1147, 6384, 119, 1239, 14388, 2670, 27672, 488, 127, 1161, 1135, 2994, 21093, 1663, 1341, 1239, 7003, 4352, 18847, 1163, 1449, 1302, 25200, 106, 106, 2744, 21610, 106, 1598, 27672, 488, 128, 19039, 23397, 1163, 4366, 1267, 4005, 10971, 21828, 21748, 8316, 5684, 3390, 1297, 1988, 23397, 1163, 9792, 1110, 3390, 1446, 5292, 1110, 3564, 2149, 1161, 8316, 2670, 6013, 119, 1957, 1161, 13184, 2277, 1375, 1280, 4554, 1163, 2489, 1147, 1135, 3821, 1170, 16685, 5404, 1163, 1110, 10104, 1161, 4812, 1238, 1135, 16492, 5661, 2884, 4129, 3390, 2592, 2179, 8148, 106, 106, 145, 1136, 1732, 19663, 5292, 6134, 8316, 1147, 1135, 10971, 1170, 16685, 2000, 6056, 1280, 2629, 1147, 1135, 3821, 21828, 16492, 1213, 5404, 1163, 10104, 1161, 4812, 5385, 1147, 1110, 7305, 4126, 1226, 1135, 25419, 1758, 1526, 18079, 1230, 26858, 5570, 29824, 1449, 1115, 3474, 1676, 1161, 1957, 11776, 2178, 1457, 106, 106, 144, 3215, 2369, 9028, 1201, 106, 140, 21748, 7402, 1239, 23988, 1226, 1135, 27672, 488, 128, 19039, 1411, 1799, 4797, 1135, 3602, 3220, 133, 106, 106, 6006, 3026, 7869, 1147, 1789, 5878, 1361, 488, 127, 123, 22765, 16492, 1213, 106, 147, 4035, 2023, 1355, 4674, 488, 124, 132, 3162, 4006, 2043, 13942, 1449, 1135, 5878, 1171, 5292, 10939, 3663, 3162, 1147, 1302, 9694, 2071, 1329, 3026, 1355, 4674, 488, 124, 131, 3162, 4006, 2043, 13942, 1171, 5292, 10939, 5992, 3162, 1147, 1135, 9694, 2392, 106, 106, 9688, 106, 151, 4962, 1135, 23303, 19039, 7368, 1147, 6384, 119, 1135, 10841, 3264, 1161, 1135, 488, 126, 123, 11748, 1147, 20583, 11859, 10613, 3891, 1239, 14452, 1449, 1789, 5071, 2992, 3377, 3783, 1446, 1135, 5727, 8048, 21326, 1324, 1135, 3390, 4143, 1149, 1135, 20276, 3783, 5292, 1135, 1940, 6680, 119, 1171, 1540, 1238, 4945, 1135, 2977, 25419, 1758, 2055, 1135, 3284, 3783, 121, 106, 106, 17111, 11776, 3510, 8849, 2670, 27672, 488, 128, 1239, 11408, 6648, 1163, 1135, 488, 127, 123, 22765, 16492, 1213, 1161, 1789, 1624, 26964, 2544, 1135, 6062, 3602, 1135, 19039, 119, 1799, 3210, 1280, 6648, 1163, 1135, 488, 125, 128, 22765, 16492, 1213, 1161, 1302, 3390, 1171, 6056, 1280, 5253, 1163, 1135, 10971, 1170, 16685, 3545, 1302, 5529, 121, 30128, 1135, 7402, 3210, 1280, 8261, 1235, 5802, 109, 1226, 1110, 5198, 1161, 488, 132, 123, 19496, 5196, 1799, 2489, 1329, 22937, 2192, 8238, 1239, 8794, 1163, 9792, 1522, 10877, 2536, 1296, 1110, 3390, 5039, 1149, 1135, 7402, 1238, 1135, 29630, 2396, 1226, 1151, 6782, 6062, 2351, 2849, 1799, 1560, 1375, 3094, 1163, 2179, 8148, 2728, 1135, 11776, 3510, 2778, 1375, 7590, 2484, 488, 132, 123, 5150, 1147, 1135, 1940, 1976, 3602, 1135, 27672, 488, 128, 19039, 119, 1135, 3390, 3210, 4504, 2182, 1238, 1789, 16492, 1213, 1135, 3602, 6062, 1226, 1135, 13073, 5150, 4945, 1135, 5198, 1161, 488, 132, 123, 5150, 1239, 1169, 2291, 5108, 106, 106, 6079, 1135, 3390, 8168, 1163, 1803, 9564, 1161, 1135, 7402, 1147, 1135, 1940, 8641, 1799, 1526, 2320, 2182, 1238, 23325, 1879, 119, 5096, 2182, 3969, 1163, 1938, 2017, 20583, 11859, 10613, 3891, 26964, 2728, 1135, 11776, 3510, 1239, 1375, 20886, 1684, 23325, 1879, 119, 1799, 3210, 1280, 12803, 2441, 1163, 1135, 3390, 1799, 8720, 2182, 1163, 4204, 27672, 488, 128, 121, 106, 106, 6079, 1135, 3390, 8168, 1163, 8727, 1135, 7402, 1147, 1135, 1940, 8641, 1799, 1526, 1560, 1540, 1411, 1799, 2751, 1110, 3353, 1659, 1663, 1135, 10086, 11926, 5878, 3210, 1464, 19880, 1163, 1135, 3220, 1161, 1135, 27672, 488, 128, 19039, 121, 5375, 3220, 1393, 31145, 1163, 1135, 1624, 26964, 106, 106, 10442, 1976, 2470, 1110, 7402, 1239, 8849, 4204, 27672, 488, 128, 119, 1135, 3390, 1579, 8540, 1602, 1163, 4504, 2182, 1238, 1789, 6103, 488, 125, 128, 22765, 16492, 7526, 106, 106, 1598, 6013, 1161, 1110, 10971, 21828, 7402, 8849, 1147, 1135, 27672, 488, 128, 19039, 1239, 8975, 1631, 128, 123, 119, 123, 123, 123, 121, 2728, 1135, 7402, 1239, 12803, 2441, 1163, 1789, 5379, 3390, 1296, 14388, 25016, 1135, 5379, 3390, 1526, 1332, 7768, 1789, 6013, 1226, 1631, 125, 128, 119, 123, 123, 123, 121, 32001, 488, 106, 32000, 20036, 106, 2606, 2762, 245, 1210, 1272, 1125, 16412, 488, 128, 1299, 1318, 7128, 1125, 19039, 9612, 1571, 1200, 1205, 1813, 13212, 1842, 1125, 21748, 121, 1768, 1299, 9401, 1894, 9124, 1186, 31318, 2391, 1197, 1693, 2410, 29659, 2585, 1281, 6169, 6369, 1207, 20088, 1197, 11203, 2410, 1125, 1158, 24823, 24029, 1768, 1110, 1256, 1663, 1125, 4366, 15056, 1107, 1835, 1207, 10431, 1197, 12012, 12242, 1199, 1186, 15696, 8330, 1278, 1125, 21748, 121, 106, 106, 3562, 7128, 18358, 1594, 1874, 1125, 1158, 2320, 7230, 27254, 1313, 1170, 5509, 1197, 4050, 4177, 1125, 1158, 26185, 9598, 1548, 2762, 245, 1210, 1272, 1362, 19039, 23303, 1227, 21748, 119, 9401, 3219, 5910, 1186, 2798, 119, 1299, 21001, 2290, 1158, 16412, 488, 127, 1125, 1440, 2076, 29920, 1723, 1238, 11437, 6682, 1450, 1256, 2442, 1880, 4550, 1215, 1816, 1465, 1488, 2392, 106, 106, 2744, 9813, 488, 106, 2606, 2762, 245, 1210, 1272, 1125, 16412, 488, 128, 1110, 1256, 1663, 1125, 4366, 15056, 1107, 1835, 1207, 10431, 1197, 12012, 12242, 1199, 1186, 15696, 8330, 1278, 1125, 21748, 121, 1768, 14681, 1188, 9682, 11471, 4924, 9195, 2290, 5234, 1189, 2511, 2510, 1125, 12012, 1167, 1309, 4345, 13432, 5924, 1288, 20614, 9571, 1186, 15696, 13212, 3988, 12292, 1125, 2320, 1313, 16371, 1168, 19429, 3042, 10440, 3419, 5878, 6462, 1207, 1945, 1657, 106, 106, 2524, 6698, 2782, 3171, 12012, 1186, 26185, 1813, 8330, 1842, 1357, 1288, 2830, 119, 12292, 1125, 2320, 1313, 25131, 2042, 2121, 1823, 8337, 1186, 15696, 22031, 7793, 1245, 1189, 4093, 9662, 14548, 1256, 10796, 119, 1357, 1915, 2442, 21548, 4975, 1197, 13541, 3185, 2307, 1813, 1186, 25378, 3862, 4345, 11776, 183, 243, 29796, 106, 106, 149, 1118, 6397, 19160, 1349, 3606, 488, 106, 2029, 10952, 1125, 21748, 1299, 19160, 12942, 1317, 2762, 245, 1210, 1272, 1125, 16412, 488, 128, 12380, 1878, 3363, 1207, 3220, 9643, 1257, 106, 106, 4273, 1382, 1823, 10689, 1313, 16371, 24750, 1125, 488, 127, 123, 12012, 1125, 1594, 5878, 106, 3942, 1445, 1913, 11391, 244, 24312, 2864, 488, 124, 132, 2165, 1317, 3013, 9033, 3902, 2290, 5234, 1215, 1170, 5878, 1167, 2782, 8121, 5999, 2165, 1313, 1816, 9869, 1362, 2782, 1913, 11391, 244, 24312, 2864, 488, 124, 131, 2165, 1317, 3013, 9033, 3902, 2290, 5234, 1167, 2782, 8121, 7762, 2165, 1313, 1282, 4299, 28282, 106, 106, 9688, 488, 106, 216, 30059, 1124, 1125, 1158, 19039, 23303, 13858, 1186, 2798, 119, 14439, 1125, 5266, 1197, 488, 126, 123, 10431, 3647, 1199, 1207, 1200, 1205, 1813, 13212, 1842, 1299, 6270, 244, 1215, 1964, 9008, 13501, 3327, 2065, 3401, 14261, 1125, 1158, 6586, 20314, 6175, 11835, 10796, 4716, 14268, 1158, 2864, 4556, 15606, 4716, 1170, 3151, 30857, 1167, 2442, 1125, 3011, 7328, 1158, 6128, 119, 1357, 1299, 4421, 4716, 5416, 244, 1170, 6005, 6583, 1657, 106, 106, 159, 1261, 11776, 183, 4326, 28588, 3702, 1158, 16412, 488, 128, 1299, 14182, 22240, 1188, 16371, 24750, 1125, 488, 127, 123, 12012, 1125, 1561, 3643, 4924, 121, 2616, 1158, 6586, 6441, 1440, 2762, 245, 1210, 3301, 1527, 3233, 31095, 1823, 22240, 1188, 16371, 24750, 1125, 488, 125, 128, 12012, 1125, 1816, 4924, 119, 1167, 1527, 1288, 1915, 1382, 1823, 1116, 12374, 1571, 26185, 1813, 8330, 1842, 7542, 1816, 4927, 121, 1867, 6698, 1170, 10952, 3233, 1823, 15112, 1606, 15006, 1524, 7542, 1189, 5198, 1125, 488, 132, 123, 13872, 3365, 10809, 1362, 2081, 121, 4060, 16412, 1299, 14164, 1277, 1256, 9682, 1207, 1522, 3794, 1215, 4070, 1257, 9682, 11471, 4924, 2551, 1554, 1607, 1196, 1170, 10952, 1300, 1158, 4575, 1197, 9814, 1234, 2797, 1318, 6586, 7407, 6060, 7230, 1288, 20265, 1382, 1282, 2366, 1657, 3066, 1282, 1495, 183, 4326, 1288, 3983, 1439, 1382, 2008, 488, 132, 123, 3617, 1317, 3285, 1125, 1158, 3453, 5910, 6441, 1158, 19039, 1125, 16412, 488, 128, 119, 10796, 9375, 1170, 13146, 1313, 1594, 23565, 1158, 6586, 10549, 1256, 1170, 2510, 1125, 3617, 26281, 4886, 7328, 1440, 1309, 1440, 5198, 1125, 488, 132, 123, 3617, 2666, 12669, 121, 106, 106, 26692, 10796, 9342, 1281, 15830, 3932, 1227, 10952, 7542, 1816, 3453, 13407, 1527, 2435, 1299, 7545, 1125, 1170, 31657, 1188, 1158, 7128, 1125, 6884, 3604, 3301, 1170, 1177, 2388, 1215, 1170, 1844, 2076, 6317, 1256, 22212, 5685, 1197, 2905, 12777, 1227, 21748, 17098, 121, 3066, 1282, 1495, 183, 4326, 4249, 1382, 14920, 244, 1317, 6884, 3604, 3301, 1527, 3233, 3042, 1823, 17189, 1188, 10796, 1357, 8425, 1370, 11708, 4204, 1158, 16412, 488, 128, 121, 106, 106, 26692, 10796, 20265, 6143, 3711, 1170, 10952, 7542, 1816, 3453, 13407, 2399, 1915, 1170, 1982, 1995, 2399, 5209, 1268, 11307, 119, 1723, 1170, 5878, 1357, 1844, 10721, 9408, 1227, 10952, 1215, 8401, 1125, 10260, 1299, 13858, 1125, 13439, 1207, 3220, 1227, 4394, 1125, 16412, 488, 128, 121, 4466, 3220, 1508, 14663, 1473, 1188, 1158, 3643, 4924, 121, 106, 106, 2029, 1151, 2750, 1158, 5266, 2335, 10952, 4204, 1158, 16412, 488, 128, 119, 10796, 4716, 1170, 10952, 1313, 1594, 23565, 4249, 1408, 13858, 1125, 1170, 15382, 1313, 1594, 3274, 1125, 488, 125, 128, 12012, 15006, 1297, 106, 106, 2606, 5234, 2335, 10952, 1197, 26185, 1813, 8330, 1842, 2762, 245, 3134, 1313, 1158, 19039, 1125, 16412, 488, 128, 13741, 488, 128, 123, 488, 123, 123, 123, 10609, 3569, 121, 3066, 1170, 10952, 1299, 17189, 1188, 1594, 4924, 17482, 7200, 1309, 6590, 6531, 3794, 10796, 17482, 1915, 10086, 15676, 1594, 5234, 1256, 1158, 8126, 1125, 488, 125, 128, 488, 123, 123, 123, 16002, 1297, 106, 106, 20634, 1167, 5474, 488, 106, 106, 23179, 1577, 4058, 1227, 21748, 106, 11730, 245, 1210, 1272, 1125, 1158, 15696, 22031, 1125, 21748, 106, 161, 27780, 4010, 15601, 106, 106, 8051, 133, 561, 572, 564, 560, 616, 1175, 4600, 25688, 110, 574, 578, 574, 564, 545, 565, 561, 572, 564, 560, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 2762, 245, 1210, 1272, 1125, 16412, 488, 128, 1299, 1318, 7128, 1125, 19039, 9612, 1571, 1200, 1205, 1813, 13212, 1842, 1125, 21748, 121, 1768, 1299, 9401, 1894, 9124, 1186, 31318, 2391, 1197, 1693, 2410, 29659, 2585, 1281, 6169, 6369, 1207, 20088, 1197, 11203, 2410, 1125, 1158, 24823, 24029, 1768, 1110, 1256, 1663, 1125, 4366, 15056, 1107, 1835, 1207, 10431, 1197, 12012, 12242, 1199, 1186, 15696, 8330, 1278, 1125, 21748, 121, 106, 106, 3562, 7128, 18358, 1594, 1874, 1125, 1158, 2320, 7230, 27254, 1313, 1170, 5509, 1197, 4050, 4177, 1125, 1158, 26185, 9598, 1548, 2762, 245, 1210, 1272, 1362, 19039, 23303, 1227, 21748, 119, 9401, 3219, 5910, 1186, 2798, 119, 1299, 21001, 2290, 1158, 16412, 488, 127, 1125, 1440, 2076, 29920, 1723, 1238, 11437, 6682, 1450, 1256, 2442, 1880, 4550, 1215, 1816, 1465, 1488, 2392, 106, 106, 2744, 9813, 488, 106, 2606, 2762, 245, 1210, 1272, 1125, 16412, 488, 128, 1110, 1256, 1663, 1125, 4366, 15056, 1107, 1835, 1207, 10431, 1197, 12012, 12242, 1199, 1186, 15696, 8330, 1278, 1125, 21748, 121, 1768, 14681, 1188, 9682, 11471, 4924, 9195, 2290, 5234, 1189, 2511, 2510, 1125, 12012, 1167, 1309, 4345, 13432, 5924, 1288, 20614, 9571, 1186, 15696, 13212, 3988, 12292, 1125, 2320, 1313, 16371, 1168, 19429, 3042, 10440, 3419, 5878, 6462, 1207, 1945, 1657, 106, 106, 2524, 6698, 2782, 3171, 12012, 1186, 26185, 1813, 8330, 1842, 1357, 1288, 2830, 119, 12292, 1125, 2320, 1313, 25131, 2042, 2121, 1823, 8337, 1186, 15696, 22031, 7793, 1245, 1189, 4093, 9662, 14548, 1256, 10796, 119, 1357, 1915, 2442, 21548, 4975, 1197, 13541, 3185, 2307, 1813, 1186, 25378, 3862, 4345, 11776, 183, 243, 29796, 106, 106, 149, 1118, 6397, 19160, 1349, 3606, 488, 106, 2029, 10952, 1125, 21748, 1299, 19160, 12942, 1317, 2762, 245, 1210, 1272, 1125, 16412, 488, 128, 12380, 1878, 3363, 1207, 3220, 9643, 1257, 106, 106, 4273, 1382, 1823, 10689, 1313, 16371, 24750, 1125, 488, 127, 123, 12012, 1125, 1594, 5878, 106, 3942, 1445, 1913, 11391, 244, 24312, 2864, 488, 124, 132, 2165, 1317, 3013, 9033, 3902, 2290, 5234, 1215, 1170, 5878, 1167, 2782, 8121, 5999, 2165, 1313, 1816, 9869, 1362, 2782, 1913, 11391, 244, 24312, 2864, 488, 124, 131, 2165, 1317, 3013, 9033, 3902, 2290, 5234, 1167, 2782, 8121, 7762, 2165, 1313, 1282, 4299, 28282, 106, 106, 9688, 488, 106, 216, 30059, 1124, 1125, 1158, 19039, 23303, 13858, 1186, 2798, 119, 14439, 1125, 5266, 1197, 488, 126, 123, 10431, 3647, 1199, 1207, 1200, 1205, 1813, 13212, 1842, 1299, 6270, 244, 1215, 1964, 9008, 13501, 3327, 2065, 3401, 14261, 1125, 1158, 6586, 20314, 6175, 11835, 10796, 4716, 14268, 1158, 2864, 4556, 15606, 4716, 1170, 3151, 30857, 1167, 2442, 1125, 3011, 7328, 1158, 6128, 119, 1357, 1299, 4421, 4716, 5416, 244, 1170, 6005, 6583, 1657, 106, 106, 159, 1261, 11776, 183, 4326, 28588, 3702, 1158, 16412, 488, 128, 1299, 14182, 22240, 1188, 16371, 24750, 1125, 488, 127, 123, 12012, 1125, 1561, 3643, 4924, 121, 2616, 1158, 6586, 6441, 1440, 2762, 245, 1210, 3301, 1527, 3233, 31095, 1823, 22240, 1188, 16371, 24750, 1125, 488, 125, 128, 12012, 1125, 1816, 4924, 119, 1167, 1527, 1288, 1915, 1382, 1823, 1116, 12374, 1571, 26185, 1813, 8330, 1842, 7542, 1816, 4927, 121, 1867, 6698, 1170, 10952, 3233, 1823, 15112, 1606, 15006, 1524, 7542, 1189, 5198, 1125, 488, 132, 123, 13872, 3365, 10809, 1362, 2081, 121, 4060, 16412, 1299, 14164, 1277, 1256, 9682, 1207, 1522, 3794, 1215, 4070, 1257, 9682, 11471, 4924, 2551, 1554, 1607, 1196, 1170, 10952, 1300, 1158, 4575, 1197, 9814, 1234, 2797, 1318, 6586, 7407, 6060, 7230, 1288, 20265, 1382, 1282, 2366, 1657, 3066, 1282, 1495, 183, 4326, 1288, 3983, 1439, 1382, 2008, 488, 132, 123, 3617, 1317, 3285, 1125, 1158, 3453, 5910, 6441, 1158, 19039, 1125, 16412, 488, 128, 119, 10796, 9375, 1170, 13146, 1313, 1594, 23565, 1158, 6586, 10549, 1256, 1170, 2510, 1125, 3617, 26281, 4886, 7328, 1440, 1309, 1440, 5198, 1125, 488, 132, 123, 3617, 2666, 12669, 121, 106, 106, 26692, 10796, 9342, 1281, 15830, 3932, 1227, 10952, 7542, 1816, 3453, 13407, 1527, 2435, 1299, 7545, 1125, 1170, 31657, 1188, 1158, 7128, 1125, 6884, 3604, 3301, 1170, 1177, 2388, 1215, 1170, 1844, 2076, 6317, 1256, 22212, 5685, 1197, 2905, 12777, 1227, 21748, 17098, 121, 3066, 1282, 1495, 183, 4326, 4249, 1382, 14920, 244, 1317, 6884, 3604, 3301, 1527, 3233, 3042, 1823, 17189, 1188, 10796, 1357, 8425, 1370, 11708, 4204, 1158, 16412, 488, 128, 121, 106, 106, 26692, 10796, 20265, 6143, 3711, 1170, 10952, 7542, 1816, 3453, 13407, 2399, 1915, 1170, 1982, 1995, 2399, 5209, 1268, 11307, 119, 1723, 1170, 5878, 1357, 1844, 10721, 9408, 1227, 10952, 1215, 8401, 1125, 10260, 1299, 13858, 1125, 13439, 1207, 3220, 1227, 4394, 1125, 16412, 488, 128, 121, 4466, 3220, 1508, 14663, 1473, 1188, 1158, 3643, 4924, 121, 106, 106, 2029, 1151, 2750, 1158, 5266, 2335, 10952, 4204, 1158, 16412, 488, 128, 119, 10796, 4716, 1170, 10952, 1313, 1594, 23565, 4249, 1408, 13858, 1125, 1170, 15382, 1313, 1594, 3274, 1125, 488, 125, 128, 12012, 15006, 1297, 106, 106, 2606, 5234, 2335, 10952, 1197, 26185, 1813, 8330, 1842, 2762, 245, 3134, 1313, 1158, 19039, 1125, 16412, 488, 128, 13741, 488, 128, 123, 488, 123, 123, 123, 10609, 3569, 121, 3066, 1170, 10952, 1299, 17189, 1188, 1594, 4924, 17482, 7200, 1309, 6590, 6531, 3794, 10796, 17482, 1915, 10086, 15676, 1594, 5234, 1256, 1158, 8126, 1125, 488, 125, 128, 488, 123, 123, 123, 16002, 1297, 106, 106, 20634, 1167, 5474, 488, 106, 106, 23179, 1577, 4058, 1227, 21748, 106, 11730, 245, 1210, 1272, 1125, 1158, 15696, 22031, 1125, 21748, 106, 161, 27780, 4010, 15601, 106, 106, 8051, 133, 561, 572, 564, 560, 616, 1175, 4600, 25688, 110, 574, 578, 574, 564, 545, 565, 561, 572, 564, 560, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 5522, 1947, 9425, 3458, 3412, 26281, 2972, 1257, 488, 106, 114, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 24051, 1170, 488, 124, 127, 3201, 488, 124, 132, 129, 125, 1188, 1222, 5811, 4936, 2433, 1300, 23684, 1125, 15587, 3567, 119, 1313, 1282, 2528, 21562, 1197, 1748, 4731, 116, 1299, 1189, 5598, 23982, 1218, 1121, 26352, 19195, 14161, 21467, 1125, 488, 125, 123, 123, 129, 1188, 488, 125, 123, 124, 123, 119, 1527, 1299, 18640, 4637, 1125, 14141, 1170, 488, 125, 129, 2584, 488, 125, 123, 124, 123, 1167, 10452, 1170, 3293, 1125, 488, 125, 123, 124, 124, 1188, 488, 125, 123, 124, 129, 121, 106, 106, 141, 11741, 106, 106, 15784, 4119, 488, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1110, 18279, 244, 1207, 15509, 8288, 1690, 1125, 1222, 5811, 4936, 180, 1167, 1125, 1252, 3622, 1105, 2433, 1170, 19299, 15498, 1167, 1170, 23025, 1125, 1252, 3622, 1105, 3266, 1768, 18764, 1594, 1138, 2120, 1132, 24666, 1128, 11246, 1186, 488, 124, 132, 131, 129, 121, 1768, 29436, 5095, 1317, 5927, 1125, 8287, 11490, 1167, 11733, 1125, 12547, 10070, 5277, 1304, 9570, 8595, 1175, 224, 153, 1592, 116, 1125, 1204, 193, 1353, 2433, 1186, 11961, 23678, 8796, 1256, 1318, 13407, 2567, 27776, 1318, 30357, 26242, 1506, 1457, 1768, 16853, 1909, 8787, 1188, 1158, 25163, 1125, 16619, 1167, 1125, 14454, 1214, 1125, 15714, 21126, 1132, 3991, 13373, 1266, 7916, 1125, 2236, 1569, 12461, 1186, 3276, 1109, 3798, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 18764, 1170, 11622, 1128, 1186, 14454, 1214, 1186, 488, 124, 132, 132, 129, 1188, 15714, 1125, 2236, 1569, 23895, 106, 106, 20616, 4096, 488, 106, 1686, 488, 124, 132, 132, 127, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 18764, 1170, 8536, 1125, 6606, 1125, 1158, 11615, 1125, 20085, 1188, 1158, 14454, 1214, 5277, 23169, 1197, 1748, 4731, 4497, 153, 2450, 119, 1188, 7219, 16714, 1576, 1768, 1299, 2072, 6606, 1197, 14454, 2624, 7639, 8247, 1701, 1188, 1158, 14454, 1214, 1125, 1158, 17574, 3352, 1125, 7219, 1105, 2433, 1167, 29175, 22571, 488, 125, 123, 123, 127, 121, 106, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1299, 11535, 1125, 1158, 14454, 1214, 2031, 179, 3567, 21687, 1114, 1439, 1188, 1252, 3622, 1105, 2433, 15587, 3567, 121, 1768, 1110, 1913, 8328, 15257, 1227, 2929, 13482, 7983, 2290, 12799, 1468, 1125, 1158, 17257, 5549, 5907, 106, 106, 20616, 4096, 3657, 488, 106, 2606, 488, 125, 129, 2584, 488, 125, 123, 124, 123, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 7354, 28262, 21467, 1125, 14141, 1197, 1748, 1121, 1457, 1867, 488, 125, 123, 123, 129, 1188, 488, 125, 123, 123, 132, 119, 1527, 27999, 1158, 2321, 1125, 28262, 21467, 10502, 1227, 10610, 1125, 1158, 9851, 2357, 1125, 1158, 22744, 10385, 1167, 1125, 1158, 11043, 5121, 1227, 8399, 1112, 1167, 4421, 1125, 4637, 1227, 13490, 1125, 4553, 1404, 3315, 1167, 1125, 1204, 1416, 1119, 2923, 3835, 17474, 1576, 106, 106, 2524, 488, 125, 123, 123, 132, 1188, 4319, 488, 125, 123, 124, 123, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1299, 12688, 28262, 21467, 10502, 1227, 10610, 1197, 4444, 9653, 1227, 27504, 1167, 1125, 1282, 15759, 1327, 1108, 8423, 9943, 4537, 106, 106, 142, 17389, 1128, 1227, 15211, 3781, 1125, 1158, 6872, 1188, 30690, 30755, 1125, 488, 125, 123, 124, 123, 119, 1527, 18900, 1170, 488, 125, 129, 2584, 488, 125, 123, 124, 123, 121, 106, 106, 4455, 6282, 21722, 1215, 1158, 5204, 20237, 1366, 5277, 1170, 7574, 1129, 1125, 488, 129, 124, 2199, 1197, 4001, 9172, 21021, 4413, 6218, 7774, 18754, 3693, 1173, 5363, 175, 15587, 5417, 1252, 1992, 1203, 119, 1170, 15599, 1125, 1271, 15511, 119, 1110, 17931, 1389, 488, 126, 126, 2199, 1197, 8945, 121, 1548, 5777, 1125, 9085, 1188, 1440, 25840, 1305, 1517, 1314, 1207, 488, 128, 126, 24955, 1653, 3257, 1123, 1125, 6344, 5682, 11336, 2344, 1837, 9697, 4321, 1158, 5601, 10903, 1110, 28577, 1313, 1189, 22964, 1309, 1606, 1207, 13118, 1227, 488, 125, 129, 2584, 2004, 1913, 7195, 1984, 22141, 1167, 6243, 3123, 4821, 106, 106, 216, 1158, 3011, 2335, 16254, 1120, 1469, 1594, 14547, 1416, 3402, 4819, 9409, 1571, 20539, 1300, 1158, 4927, 3975, 2965, 3693, 1209, 182, 1142, 2993, 1118, 1222, 179, 1979, 1314, 2985, 4539, 1117, 6513, 1125, 17902, 1218, 1121, 1354, 1170, 488, 125, 129, 2738, 488, 125, 123, 124, 124, 119, 1170, 3151, 15587, 3567, 1108, 1188, 12495, 1107, 14141, 1197, 1748, 1121, 1457, 106, 106, 155, 1312, 1244, 488, 125, 2165, 2750, 1158, 1622, 1125, 1594, 6912, 3683, 1186, 488, 125, 123, 124, 131, 119, 1222, 179, 1979, 1314, 2442, 10440, 3419, 1279, 14161, 21467, 1125, 14141, 1197, 1748, 1121, 1346, 15643, 9433, 26064, 1390, 2194, 1173, 2724, 2433, 1508, 18280, 1120, 1215, 1158, 6872, 1188, 1158, 3011, 2335, 17813, 1366, 1125, 5203, 1125, 488, 127, 130, 488, 132, 128, 123, 4212, 4536, 1357, 6096, 22197, 1188, 1197, 15544, 6900, 1128, 22682, 18721, 1353, 1104, 1197, 2605, 25603, 1889, 24865, 6482, 1814, 1120, 1167, 1227, 1518, 15428, 250, 2771, 1548, 9263, 1188, 11705, 7457, 1913, 1125, 488, 130, 131, 127, 5743, 1283, 1929, 8318, 106, 106, 161, 1214, 11069, 488, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1299, 1557, 3649, 1188, 25007, 1176, 8051, 3991, 12638, 1183, 1124, 1233, 1979, 1124, 197, 9264, 1167, 9159, 1125, 2069, 24853, 106, 106, 10026, 11052, 106, 106, 151, 2038, 1197, 1838, 7256, 1125, 14141, 1197, 1748, 4731, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 106, 106, 4929, 21467, 1197, 1748, 4731, 106, 153, 3400, 1186, 3201, 488, 124, 132, 129, 125, 106, 161, 1443, 14161, 21467, 1197, 1748, 4731, 114, 32001, 488, 106, 32000, 20036, 106, 148, 1675, 6447, 1149, 1957, 12821, 3033, 133, 106, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 6256, 2589, 1238, 6678, 488, 124, 127, 119, 488, 124, 132, 129, 125, 1147, 1222, 5811, 4936, 2433, 1238, 1135, 13798, 1161, 15587, 3567, 119, 1147, 1135, 1748, 1121, 1180, 4687, 21562, 9143, 116, 1239, 1110, 1748, 1121, 2323, 9532, 29330, 19195, 6654, 1446, 488, 125, 123, 123, 129, 1163, 488, 125, 123, 124, 123, 119, 1386, 1463, 21247, 6654, 1161, 1135, 8006, 1238, 7262, 488, 125, 129, 119, 488, 125, 123, 124, 123, 1171, 7947, 1135, 5687, 1446, 488, 125, 123, 124, 124, 1163, 488, 125, 123, 124, 129, 121, 106, 106, 141, 180, 11114, 106, 106, 144, 5341, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 22539, 9832, 13020, 1147, 1222, 5811, 4936, 180, 1171, 1252, 3622, 1105, 2433, 1135, 15498, 12707, 1171, 2533, 3875, 1147, 1252, 3622, 1105, 3266, 2133, 13196, 1765, 15879, 1138, 2120, 10168, 1278, 1230, 1147, 488, 124, 132, 131, 129, 121, 2133, 1186, 23894, 1147, 1135, 2406, 23652, 3750, 1171, 7332, 15867, 1161, 1135, 4966, 6815, 1107, 11942, 5761, 1175, 224, 153, 1592, 116, 1147, 1204, 193, 1353, 2433, 11961, 1748, 8796, 1226, 1704, 8641, 2979, 18045, 1110, 28456, 121, 2133, 12702, 1765, 11569, 1355, 1135, 11704, 28755, 1161, 22683, 1171, 2708, 2569, 4676, 1355, 1135, 21126, 1132, 3991, 13373, 1266, 7916, 4017, 1147, 2236, 1569, 12461, 3276, 1314, 2036, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 13196, 1765, 11622, 1230, 1147, 1747, 2569, 4676, 1147, 488, 124, 132, 132, 129, 1446, 1135, 4017, 1161, 2236, 1569, 23895, 106, 106, 142, 1532, 1107, 106, 1428, 488, 124, 132, 132, 127, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1463, 22951, 3228, 1161, 9194, 22314, 1355, 1135, 4966, 3698, 3007, 1212, 2708, 2569, 4676, 1161, 1135, 1748, 1121, 1180, 4497, 153, 2450, 119, 1147, 7219, 16714, 1576, 2133, 1463, 1959, 11626, 1226, 4866, 9136, 14454, 4045, 1355, 1135, 17574, 3352, 2708, 2569, 4676, 1147, 7219, 1105, 2433, 4945, 488, 125, 123, 123, 127, 121, 106, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1239, 1135, 13155, 1161, 1135, 15587, 3567, 14454, 1762, 8452, 1147, 1252, 3622, 1105, 2433, 15587, 3567, 121, 2133, 1463, 1135, 17567, 11299, 1161, 6860, 9719, 7983, 2670, 1135, 20364, 187, 1989, 1161, 1135, 5055, 9660, 121, 106, 106, 155, 7847, 3043, 9932, 106, 3466, 7262, 488, 125, 129, 119, 488, 125, 123, 124, 123, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 7905, 19195, 6654, 1161, 1135, 1748, 1121, 1180, 8006, 121, 7752, 488, 125, 123, 123, 129, 1163, 488, 125, 123, 123, 132, 119, 1386, 11462, 1296, 19195, 6654, 1147, 3812, 1161, 1135, 22989, 1161, 6860, 119, 22744, 20953, 1171, 1293, 3332, 11043, 5121, 1171, 1959, 1296, 6654, 1161, 1135, 4553, 1404, 3315, 1171, 1204, 8716, 3590, 12358, 3835, 17474, 1576, 106, 106, 6937, 488, 125, 123, 123, 132, 1163, 5756, 488, 125, 123, 124, 123, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1463, 22951, 19195, 6654, 1147, 3812, 1161, 1135, 22989, 1161, 4444, 3655, 27504, 1171, 24938, 8637, 1327, 14565, 2840, 121, 106, 106, 4282, 1135, 15379, 1161, 1135, 4966, 1814, 1406, 12205, 1147, 1135, 488, 125, 123, 124, 123, 27855, 11827, 119, 1386, 9917, 1238, 7262, 488, 125, 129, 119, 488, 125, 123, 124, 123, 121, 106, 106, 1598, 5385, 8226, 1449, 1135, 4966, 27384, 11185, 5204, 16327, 2580, 2667, 1324, 488, 129, 124, 112, 1161, 1135, 18110, 8836, 121, 7013, 2274, 22254, 3310, 1173, 5363, 175, 15587, 5417, 1252, 1992, 1203, 119, 1135, 16035, 4825, 5848, 6971, 488, 126, 126, 112, 1161, 1135, 7086, 1457, 1410, 4144, 1261, 1226, 1413, 11827, 1463, 3575, 488, 128, 126, 17041, 25058, 15130, 5682, 2416, 2344, 2695, 5391, 2754, 1135, 4578, 5601, 16787, 1147, 1110, 5338, 7834, 1302, 14041, 28898, 1238, 7262, 488, 125, 129, 2025, 11430, 4075, 1171, 9456, 2758, 106, 106, 145, 31818, 1110, 16254, 1439, 1324, 1765, 18220, 4525, 4834, 1147, 22671, 1324, 1135, 6689, 1525, 1238, 1135, 1597, 1195, 30467, 1209, 182, 1142, 2993, 1118, 1222, 179, 1979, 1314, 1463, 5768, 2589, 1147, 1296, 1135, 1748, 1121, 2323, 3228, 1161, 2730, 1238, 4151, 488, 125, 129, 119, 488, 125, 123, 124, 124, 119, 1135, 1940, 15587, 3567, 1119, 1163, 3075, 1135, 8006, 1161, 1135, 1748, 1121, 8318, 106, 106, 3681, 5630, 488, 125, 3162, 2470, 1135, 2283, 1161, 1765, 1794, 5862, 1147, 488, 125, 123, 124, 131, 119, 1222, 179, 1979, 3603, 4957, 1324, 4129, 6459, 6654, 1161, 1135, 8006, 1161, 1135, 1748, 1121, 5160, 15643, 9433, 26064, 1390, 2194, 1173, 2724, 2433, 1393, 3026, 12360, 9841, 1449, 1135, 6872, 2935, 3602, 1110, 17813, 1132, 22291, 1135, 11787, 1161, 488, 127, 130, 119, 132, 128, 123, 1931, 4536, 15940, 1226, 4546, 13070, 18721, 1353, 15544, 1147, 1135, 4909, 12983, 4633, 1187, 2026, 1171, 1518, 192, 23725, 121, 1410, 7661, 1161, 18134, 1463, 17929, 1163, 1280, 488, 130, 131, 127, 4750, 6464, 121, 106, 106, 155, 26981, 10649, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1239, 17080, 1163, 25007, 1176, 8051, 3991, 12638, 1183, 1124, 1233, 1979, 1124, 197, 9264, 1171, 1239, 1135, 11432, 1161, 2197, 27945, 106, 106, 12225, 1589, 17751, 106, 106, 2474, 1161, 5240, 7256, 1161, 1135, 8006, 1161, 1135, 1748, 1121, 1180, 106, 106, 26722, 14520, 106, 106, 1891, 9520, 106, 106, 155, 27228, 1161, 1135, 1748, 1121, 1180, 106, 141, 2589, 1147, 6678, 488, 124, 132, 129, 125, 106, 161, 1443, 6654, 1161, 1135, 1748, 1121, 1180, 109, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 148, 1675, 6447, 1149, 1957, 12821, 3033, 133, 106, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 6256, 2589, 1238, 6678, 488, 124, 127, 119, 488, 124, 132, 129, 125, 1147, 1222, 5811, 4936, 2433, 1238, 1135, 13798, 1161, 15587, 3567, 119, 1147, 1135, 1748, 1121, 1180, 4687, 21562, 9143, 116, 1239, 1110, 1748, 1121, 2323, 9532, 29330, 19195, 6654, 1446, 488, 125, 123, 123, 129, 1163, 488, 125, 123, 124, 123, 119, 1386, 1463, 21247, 6654, 1161, 1135, 8006, 1238, 7262, 488, 125, 129, 119, 488, 125, 123, 124, 123, 1171, 7947, 1135, 5687, 1446, 488, 125, 123, 124, 124, 1163, 488, 125, 123, 124, 129, 121, 106, 106, 141, 180, 11114, 106, 106, 144, 5341, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 22539, 9832, 13020, 1147, 1222, 5811, 4936, 180, 1171, 1252, 3622, 1105, 2433, 1135, 15498, 12707, 1171, 2533, 3875, 1147, 1252, 3622, 1105, 3266, 2133, 13196, 1765, 15879, 1138, 2120, 10168, 1278, 1230, 1147, 488, 124, 132, 131, 129, 121, 2133, 1186, 23894, 1147, 1135, 2406, 23652, 3750, 1171, 7332, 15867, 1161, 1135, 4966, 6815, 1107, 11942, 5761, 1175, 224, 153, 1592, 116, 1147, 1204, 193, 1353, 2433, 11961, 1748, 8796, 1226, 1704, 8641, 2979, 18045, 1110, 28456, 121, 2133, 12702, 1765, 11569, 1355, 1135, 11704, 28755, 1161, 22683, 1171, 2708, 2569, 4676, 1355, 1135, 21126, 1132, 3991, 13373, 1266, 7916, 4017, 1147, 2236, 1569, 12461, 3276, 1314, 2036, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 13196, 1765, 11622, 1230, 1147, 1747, 2569, 4676, 1147, 488, 124, 132, 132, 129, 1446, 1135, 4017, 1161, 2236, 1569, 23895, 106, 106, 142, 1532, 1107, 106, 1428, 488, 124, 132, 132, 127, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1463, 22951, 3228, 1161, 9194, 22314, 1355, 1135, 4966, 3698, 3007, 1212, 2708, 2569, 4676, 1161, 1135, 1748, 1121, 1180, 4497, 153, 2450, 119, 1147, 7219, 16714, 1576, 2133, 1463, 1959, 11626, 1226, 4866, 9136, 14454, 4045, 1355, 1135, 17574, 3352, 2708, 2569, 4676, 1147, 7219, 1105, 2433, 4945, 488, 125, 123, 123, 127, 121, 106, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1239, 1135, 13155, 1161, 1135, 15587, 3567, 14454, 1762, 8452, 1147, 1252, 3622, 1105, 2433, 15587, 3567, 121, 2133, 1463, 1135, 17567, 11299, 1161, 6860, 9719, 7983, 2670, 1135, 20364, 187, 1989, 1161, 1135, 5055, 9660, 121, 106, 106, 155, 7847, 3043, 9932, 106, 3466, 7262, 488, 125, 129, 119, 488, 125, 123, 124, 123, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 7905, 19195, 6654, 1161, 1135, 1748, 1121, 1180, 8006, 121, 7752, 488, 125, 123, 123, 129, 1163, 488, 125, 123, 123, 132, 119, 1386, 11462, 1296, 19195, 6654, 1147, 3812, 1161, 1135, 22989, 1161, 6860, 119, 22744, 20953, 1171, 1293, 3332, 11043, 5121, 1171, 1959, 1296, 6654, 1161, 1135, 4553, 1404, 3315, 1171, 1204, 8716, 3590, 12358, 3835, 17474, 1576, 106, 106, 6937, 488, 125, 123, 123, 132, 1163, 5756, 488, 125, 123, 124, 123, 119, 1209, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1463, 22951, 19195, 6654, 1147, 3812, 1161, 1135, 22989, 1161, 4444, 3655, 27504, 1171, 24938, 8637, 1327, 14565, 2840, 121, 106, 106, 4282, 1135, 15379, 1161, 1135, 4966, 1814, 1406, 12205, 1147, 1135, 488, 125, 123, 124, 123, 27855, 11827, 119, 1386, 9917, 1238, 7262, 488, 125, 129, 119, 488, 125, 123, 124, 123, 121, 106, 106, 1598, 5385, 8226, 1449, 1135, 4966, 27384, 11185, 5204, 16327, 2580, 2667, 1324, 488, 129, 124, 112, 1161, 1135, 18110, 8836, 121, 7013, 2274, 22254, 3310, 1173, 5363, 175, 15587, 5417, 1252, 1992, 1203, 119, 1135, 16035, 4825, 5848, 6971, 488, 126, 126, 112, 1161, 1135, 7086, 1457, 1410, 4144, 1261, 1226, 1413, 11827, 1463, 3575, 488, 128, 126, 17041, 25058, 15130, 5682, 2416, 2344, 2695, 5391, 2754, 1135, 4578, 5601, 16787, 1147, 1110, 5338, 7834, 1302, 14041, 28898, 1238, 7262, 488, 125, 129, 2025, 11430, 4075, 1171, 9456, 2758, 106, 106, 145, 31818, 1110, 16254, 1439, 1324, 1765, 18220, 4525, 4834, 1147, 22671, 1324, 1135, 6689, 1525, 1238, 1135, 1597, 1195, 30467, 1209, 182, 1142, 2993, 1118, 1222, 179, 1979, 1314, 1463, 5768, 2589, 1147, 1296, 1135, 1748, 1121, 2323, 3228, 1161, 2730, 1238, 4151, 488, 125, 129, 119, 488, 125, 123, 124, 124, 119, 1135, 1940, 15587, 3567, 1119, 1163, 3075, 1135, 8006, 1161, 1135, 1748, 1121, 8318, 106, 106, 3681, 5630, 488, 125, 3162, 2470, 1135, 2283, 1161, 1765, 1794, 5862, 1147, 488, 125, 123, 124, 131, 119, 1222, 179, 1979, 3603, 4957, 1324, 4129, 6459, 6654, 1161, 1135, 8006, 1161, 1135, 1748, 1121, 5160, 15643, 9433, 26064, 1390, 2194, 1173, 2724, 2433, 1393, 3026, 12360, 9841, 1449, 1135, 6872, 2935, 3602, 1110, 17813, 1132, 22291, 1135, 11787, 1161, 488, 127, 130, 119, 132, 128, 123, 1931, 4536, 15940, 1226, 4546, 13070, 18721, 1353, 15544, 1147, 1135, 4909, 12983, 4633, 1187, 2026, 1171, 1518, 192, 23725, 121, 1410, 7661, 1161, 18134, 1463, 17929, 1163, 1280, 488, 130, 131, 127, 4750, 6464, 121, 106, 106, 155, 26981, 10649, 106, 148, 182, 1142, 1142, 1118, 1222, 179, 1979, 1314, 1239, 17080, 1163, 25007, 1176, 8051, 3991, 12638, 1183, 1124, 1233, 1979, 1124, 197, 9264, 1171, 1239, 1135, 11432, 1161, 2197, 27945, 106, 106, 12225, 1589, 17751, 106, 106, 2474, 1161, 5240, 7256, 1161, 1135, 8006, 1161, 1135, 1748, 1121, 1180, 106, 106, 26722, 14520, 106, 106, 1891, 9520, 106, 106, 155, 27228, 1161, 1135, 1748, 1121, 1180, 106, 141, 2589, 1147, 6678, 488, 124, 132, 129, 125, 106, 161, 1443, 6654, 1161, 1135, 1748, 1121, 1180, 109, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 158, 1148, 29121, 16158, 1346, 9204, 1238, 4151, 488, 124, 126, 119, 488, 124, 132, 129, 124, 119, 1239, 1110, 30381, 6938, 8801, 6951, 1472, 1107, 2489, 1659, 2000, 30381, 1147, 488, 125, 123, 123, 129, 121, 106, 106, 147, 1120, 9932, 1239, 20785, 19067, 1449, 1110, 19542, 1147, 1110, 31083, 5505, 172, 2121, 1135, 18545, 1472, 1107, 27253, 1147, 488, 124, 132, 132, 128, 121, 106, 106, 142, 1532, 1107, 106, 106, 27329, 185, 1972, 1175, 124, 132, 131, 129, 120, 124, 132, 131, 130, 116, 106, 158, 1148, 1196, 8590, 7905, 1110, 8801, 6951, 1472, 1107, 7402, 1147, 488, 124, 132, 131, 129, 119, 2470, 4645, 1296, 1110, 2936, 1712, 2979, 10153, 13567, 2267, 9360, 1163, 6951, 1472, 1657, 6226, 7215, 1149, 1163, 5916, 196, 1226, 1135, 488, 124, 132, 131, 130, 5055, 19047, 119, 1386, 13085, 1163, 5916, 196, 1226, 1135, 3314, 16794, 119, 27242, 1135, 13191, 120, 1773, 2314, 2468, 1386, 1463, 17809, 1589, 488, 124, 126, 120, 124, 124, 1449, 14742, 2324, 1633, 1545, 10584, 2449, 119, 1135, 488, 124, 132, 131, 123, 4322, 10062, 106, 106, 15884, 1569, 31294, 1175, 124, 132, 131, 131, 120, 124, 132, 132, 126, 116, 106, 149, 2550, 17032, 1135, 3263, 488, 124, 129, 1161, 1135, 3018, 11178, 1972, 1147, 488, 124, 132, 131, 131, 3602, 1110, 24868, 8928, 20650, 1355, 1135, 5940, 4671, 4414, 2133, 12702, 1163, 5885, 1171, 9917, 1135, 488, 124, 132, 132, 123, 18545, 1472, 1107, 7022, 8616, 1765, 2155, 3945, 1147, 1110, 11178, 1149, 5505, 172, 3041, 2133, 17809, 1589, 16572, 24227, 1147, 1135, 24868, 1773, 2314, 1175, 129, 120, 127, 116, 1171, 23359, 1325, 26136, 7472, 1147, 1135, 1622, 2726, 1110, 4673, 14834, 7402, 31083, 29983, 1269, 1147, 1135, 12556, 8590, 1693, 22748, 1765, 9137, 1336, 1171, 9917, 488, 124, 123, 120, 129, 121, 106, 106, 1428, 1135, 488, 124, 132, 132, 124, 5055, 19047, 119, 8590, 13372, 1135, 24868, 1773, 2314, 1449, 17809, 2267, 1683, 4258, 14045, 1171, 2149, 488, 124, 20586, 1306, 1274, 1857, 1147, 1135, 13191, 120, 8928, 1297, 2133, 1463, 2491, 17809, 1589, 1449, 31276, 2294, 6196, 488, 124, 129, 120, 132, 121, 2192, 2807, 12421, 2667, 9723, 1110, 9932, 4408, 1961, 11178, 1149, 1161, 488, 128, 1276, 1147, 1135, 12556, 106, 106, 149, 2550, 20642, 1147, 1135, 3263, 488, 124, 129, 4945, 488, 124, 132, 132, 126, 121, 1459, 4125, 1163, 1765, 2913, 5385, 1147, 11178, 1149, 27834, 1285, 1386, 1959, 12742, 2632, 1147, 21411, 27883, 16403, 1135, 18564, 1554, 27309, 1147, 488, 124, 132, 132, 125, 1171, 3026, 1110, 2804, 1267, 1355, 1135, 488, 124, 132, 132, 125, 11492, 1204, 1573, 2996, 2133, 1959, 13372, 1135, 13191, 120, 1773, 2314, 1161, 1135, 30978, 3337, 22409, 106, 106, 8041, 1839, 19436, 1171, 7495, 2316, 1175, 124, 132, 132, 127, 120, 124, 132, 132, 131, 116, 106, 18628, 2197, 1281, 10508, 3703, 29214, 5385, 1147, 31083, 27834, 1285, 16572, 8590, 17468, 1656, 1161, 1135, 3263, 488, 124, 129, 121, 25058, 1110, 24868, 8928, 20650, 1355, 1135, 488, 124, 132, 132, 128, 5623, 8276, 119, 1765, 26048, 1267, 3582, 9792, 1156, 2667, 1446, 1978, 15979, 1765, 2320, 5684, 1135, 1871, 1286, 2489, 2563, 1166, 2559, 1149, 3575, 1135, 3263, 488, 125, 123, 1226, 1110, 4013, 6062, 1297, 106, 106, 8682, 2316, 1171, 1863, 1117, 7702, 1175, 124, 132, 132, 132, 120, 125, 123, 123, 129, 116, 106, 5395, 1135, 10220, 1161, 1135, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 21326, 8590, 21585, 1656, 1161, 1135, 3263, 488, 126, 125, 1226, 1135, 1940, 1907, 3976, 488, 124, 132, 131, 131, 121, 2192, 5822, 12962, 1697, 1160, 14444, 1163, 5876, 1110, 27484, 30318, 1446, 1758, 1386, 12564, 17382, 121, 7013, 11178, 1149, 12702, 1163, 30318, 2060, 1135, 3602, 6062, 1285, 8265, 1163, 1765, 1169, 4487, 1162, 1163, 1135, 23303, 12516, 1147, 488, 125, 123, 123, 125, 121, 106, 106, 149, 2550, 13085, 1163, 1978, 1262, 1765, 2320, 1147, 488, 125, 123, 123, 127, 119, 2764, 5916, 8096, 1226, 1110, 31083, 27834, 1226, 1135, 1940, 1907, 1147, 3663, 3162, 1355, 1135, 1325, 1785, 179, 4671, 4414, 2192, 9837, 1656, 1163, 1280, 1765, 2977, 20650, 1147, 1135, 2804, 17798, 1161, 1110, 5505, 172, 2121, 1296, 1386, 1463, 17809, 1589, 1449, 8713, 7472, 1147, 1135, 1940, 7094, 121, 1814, 1364, 1163, 7590, 1765, 5727, 24131, 16572, 8590, 10229, 1765, 30520, 1446, 1135, 6951, 1472, 1107, 3018, 1147, 488, 125, 123, 123, 129, 121, 106, 106, 155, 26981, 10649, 106, 149, 1174, 1346, 2000, 1239, 2172, 13430, 27808, 21970, 1135, 488, 125, 123, 123, 127, 9324, 8224, 5404, 1163, 1110, 12682, 4530, 19062, 121, 106, 106, 140, 1210, 1214, 1196, 1525, 106, 106, 159, 1123, 1328, 106, 106, 7380, 1977, 120, 5233, 4444, 1943, 1104, 106, 106, 1891, 9520, 133, 488, 106, 1686, 16614, 6951, 1472, 1107, 7402, 106, 141, 2589, 1147, 4151, 488, 124, 132, 129, 124, 106, 141, 2589, 1147, 20915, 1404, 27795, 32001, 488, 106, 32000, 20036, 106, 158, 1148, 29121, 16158, 1346, 5252, 1170, 488, 124, 126, 2738, 488, 124, 132, 129, 124, 119, 1299, 1189, 10952, 1125, 6951, 1472, 1107, 5843, 7290, 7655, 9830, 1568, 2757, 488, 125, 123, 123, 129, 121, 106, 106, 158, 172, 9245, 1299, 11129, 28474, 1215, 1318, 14789, 1186, 25985, 1936, 2357, 1317, 13753, 1125, 6951, 1472, 1107, 1186, 488, 124, 132, 132, 128, 121, 106, 106, 20616, 4096, 106, 106, 143, 244, 2479, 190, 1175, 124, 132, 131, 129, 120, 124, 132, 131, 130, 116, 488, 106, 158, 1148, 1196, 8590, 7354, 10952, 1125, 6951, 1472, 1107, 5843, 1186, 488, 124, 132, 131, 129, 119, 2435, 1357, 3031, 24875, 2567, 1125, 1281, 9331, 5824, 20232, 1317, 6951, 1472, 1657, 6982, 1189, 10287, 174, 1571, 12234, 8480, 1227, 16277, 1227, 2854, 488, 124, 132, 131, 130, 119, 1527, 30957, 1188, 1281, 5916, 1374, 1256, 5753, 1974, 2419, 7352, 1167, 3811, 2076, 22571, 1179, 8752, 1125, 1622, 5907, 1768, 20906, 2123, 1314, 1300, 1170, 8194, 12886, 1364, 1125, 488, 124, 126, 120, 124, 124, 119, 3691, 1317, 7413, 1354, 2324, 1633, 1545, 10584, 2449, 119, 15953, 19495, 1227, 16277, 1186, 488, 124, 132, 131, 123, 121, 106, 106, 11003, 1415, 1842, 4092, 1175, 124, 132, 131, 131, 120, 124, 132, 132, 126, 116, 488, 106, 149, 2550, 1844, 1594, 18013, 1313, 1170, 3263, 488, 124, 129, 1227, 14408, 14610, 1186, 488, 124, 132, 131, 131, 119, 1188, 1158, 3011, 2519, 20456, 1773, 1366, 1188, 1282, 9587, 4578, 121, 8590, 4216, 1561, 10096, 1186, 2567, 1167, 18900, 1170, 13753, 1125, 6951, 1472, 1107, 488, 124, 132, 132, 123, 119, 1440, 1357, 4933, 1594, 4374, 9672, 1313, 1189, 25985, 6036, 1199, 1256, 1170, 5971, 3041, 9193, 1897, 1136, 1125, 16572, 24227, 1186, 20456, 1773, 1366, 1175, 129, 120, 127, 1496, 23879, 2313, 1298, 26234, 1148, 1186, 12244, 1189, 18754, 1369, 1188, 1561, 2515, 2806, 1186, 1158, 3888, 1125, 1325, 26136, 1518, 2064, 1644, 9242, 488, 10952, 5549, 3850, 8590, 1844, 27212, 1594, 8824, 1167, 29779, 1679, 1300, 1170, 8194, 1125, 488, 124, 123, 1618, 2942, 1188, 488, 129, 121, 106, 106, 6880, 2439, 2313, 1298, 1281, 2555, 25427, 1186, 20456, 1773, 1366, 1227, 16277, 1227, 2854, 1125, 488, 124, 132, 132, 124, 119, 2391, 24249, 1527, 1844, 1270, 6015, 1170, 15438, 1227, 3694, 1167, 488, 124, 14610, 20586, 1306, 1274, 12461, 1186, 1179, 8752, 1125, 1622, 5907, 1768, 1299, 6349, 10907, 1585, 5998, 2341, 15550, 1215, 31276, 2294, 6196, 488, 124, 129, 1188, 488, 132, 121, 2932, 5188, 10163, 2435, 2856, 1304, 31516, 1158, 488, 488, 128, 176, 2320, 27213, 1594, 6005, 14408, 1186, 9245, 121, 488, 106, 106, 5164, 1281, 2274, 5026, 1313, 1170, 3263, 488, 124, 129, 14610, 22571, 488, 124, 132, 132, 126, 121, 1653, 14334, 1197, 10222, 6282, 3365, 18764, 1313, 1207, 5505, 1517, 10562, 1199, 1197, 4153, 1317, 5971, 2121, 8590, 1281, 10825, 2072, 2939, 1199, 1313, 1207, 5505, 1517, 1125, 8684, 1810, 12334, 1199, 1170, 25985, 18564, 1554, 5843, 1186, 488, 124, 132, 132, 125, 119, 1167, 6058, 1622, 8765, 1317, 30978, 1304, 1428, 1208, 1158, 2076, 1894, 3798, 1778, 11346, 1527, 1299, 2072, 16121, 1125, 1622, 8765, 1317, 30978, 1125, 6951, 1472, 1107, 1215, 3203, 2768, 121, 106, 106, 17944, 3465, 1162, 8709, 1175, 124, 132, 132, 127, 120, 124, 132, 132, 131, 116, 488, 106, 140, 2136, 2069, 26940, 2130, 6282, 1375, 3327, 1313, 1207, 5505, 1517, 1936, 3392, 16572, 8590, 1281, 11083, 1186, 14334, 1227, 3263, 488, 124, 129, 121, 23688, 1318, 20456, 1773, 1366, 1317, 5623, 8276, 488, 124, 132, 132, 128, 119, 1594, 9263, 1125, 2227, 1336, 1288, 2435, 2856, 1382, 1125, 1978, 6873, 1561, 2320, 7630, 1158, 16560, 1227, 6951, 1472, 1107, 5549, 2726, 5505, 1199, 6365, 1227, 3263, 488, 125, 123, 14610, 3672, 3458, 6586, 1297, 106, 106, 143, 244, 1395, 1109, 1167, 11521, 1175, 124, 132, 132, 132, 120, 125, 123, 123, 129, 116, 488, 106, 17971, 4319, 1125, 1158, 6586, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 119, 8590, 5016, 1227, 3263, 488, 126, 125, 14610, 1256, 1158, 3453, 2768, 2757, 488, 124, 132, 131, 131, 121, 4060, 2627, 1292, 4476, 1300, 1170, 2678, 5097, 7032, 28525, 7971, 1318, 4927, 1125, 30634, 3713, 1408, 12991, 119, 1125, 5685, 23879, 2313, 1298, 1288, 1215, 6221, 8516, 1382, 1188, 1281, 11924, 2040, 1317, 3285, 1197, 26940, 1357, 2419, 3310, 1594, 14408, 4216, 1125, 8466, 1987, 11781, 1309, 1909, 6282, 1288, 2368, 1174, 3567, 1121, 1129, 8563, 1995, 1906, 3365, 1299, 1826, 1603, 6452, 1300, 1170, 12516, 23303, 1186, 488, 125, 123, 123, 125, 121, 106, 106, 6880, 2439, 2313, 1298, 30957, 1188, 1978, 6873, 1561, 2320, 1186, 488, 125, 123, 123, 127, 119, 8776, 1199, 2076, 1318, 3453, 16538, 1256, 1189, 25985, 14399, 1186, 5999, 5305, 1188, 1282, 9587, 1227, 3293, 1125, 7494, 11602, 1768, 10515, 22580, 1125, 1561, 6128, 1465, 18443, 1313, 1170, 11426, 2804, 2335, 25985, 2040, 1527, 1251, 1299, 10907, 1585, 1215, 8713, 7472, 4796, 1170, 3151, 3543, 121, 4273, 1215, 27143, 1382, 1188, 8182, 1594, 6005, 4041, 119, 16572, 8590, 10656, 1594, 18033, 1227, 6951, 1472, 1107, 14610, 1186, 488, 125, 123, 123, 129, 121, 106, 106, 161, 1214, 12997, 488, 106, 23079, 1219, 5258, 119, 8590, 9263, 1282, 9587, 1125, 11961, 3551, 13744, 1186, 488, 125, 123, 123, 127, 1186, 5169, 2519, 19062, 1338, 185, 5907, 106, 106, 155, 26361, 106, 106, 159, 30087, 106, 106, 16519, 2137, 7171, 1813, 106, 106, 20634, 1167, 5474, 488, 106, 106, 149, 12590, 9400, 1125, 6951, 1472, 1107, 106, 153, 3400, 1186, 2738, 488, 124, 132, 129, 124, 106, 153, 3400, 1313, 1170, 20915, 1404, 27795, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 1148, 29121, 16158, 1346, 5252, 1170, 488, 124, 126, 2738, 488, 124, 132, 129, 124, 119, 1299, 1189, 10952, 1125, 6951, 1472, 1107, 5843, 7290, 7655, 9830, 1568, 2757, 488, 125, 123, 123, 129, 121, 106, 106, 158, 172, 9245, 1299, 11129, 28474, 1215, 1318, 14789, 1186, 25985, 1936, 2357, 1317, 13753, 1125, 6951, 1472, 1107, 1186, 488, 124, 132, 132, 128, 121, 106, 106, 20616, 4096, 106, 106, 143, 244, 2479, 190, 1175, 124, 132, 131, 129, 120, 124, 132, 131, 130, 116, 488, 106, 158, 1148, 1196, 8590, 7354, 10952, 1125, 6951, 1472, 1107, 5843, 1186, 488, 124, 132, 131, 129, 119, 2435, 1357, 3031, 24875, 2567, 1125, 1281, 9331, 5824, 20232, 1317, 6951, 1472, 1657, 6982, 1189, 10287, 174, 1571, 12234, 8480, 1227, 16277, 1227, 2854, 488, 124, 132, 131, 130, 119, 1527, 30957, 1188, 1281, 5916, 1374, 1256, 5753, 1974, 2419, 7352, 1167, 3811, 2076, 22571, 1179, 8752, 1125, 1622, 5907, 1768, 20906, 2123, 1314, 1300, 1170, 8194, 12886, 1364, 1125, 488, 124, 126, 120, 124, 124, 119, 3691, 1317, 7413, 1354, 2324, 1633, 1545, 10584, 2449, 119, 15953, 19495, 1227, 16277, 1186, 488, 124, 132, 131, 123, 121, 106, 106, 11003, 1415, 1842, 4092, 1175, 124, 132, 131, 131, 120, 124, 132, 132, 126, 116, 488, 106, 149, 2550, 1844, 1594, 18013, 1313, 1170, 3263, 488, 124, 129, 1227, 14408, 14610, 1186, 488, 124, 132, 131, 131, 119, 1188, 1158, 3011, 2519, 20456, 1773, 1366, 1188, 1282, 9587, 4578, 121, 8590, 4216, 1561, 10096, 1186, 2567, 1167, 18900, 1170, 13753, 1125, 6951, 1472, 1107, 488, 124, 132, 132, 123, 119, 1440, 1357, 4933, 1594, 4374, 9672, 1313, 1189, 25985, 6036, 1199, 1256, 1170, 5971, 3041, 9193, 1897, 1136, 1125, 16572, 24227, 1186, 20456, 1773, 1366, 1175, 129, 120, 127, 1496, 23879, 2313, 1298, 26234, 1148, 1186, 12244, 1189, 18754, 1369, 1188, 1561, 2515, 2806, 1186, 1158, 3888, 1125, 1325, 26136, 1518, 2064, 1644, 9242, 488, 10952, 5549, 3850, 8590, 1844, 27212, 1594, 8824, 1167, 29779, 1679, 1300, 1170, 8194, 1125, 488, 124, 123, 1618, 2942, 1188, 488, 129, 121, 106, 106, 6880, 2439, 2313, 1298, 1281, 2555, 25427, 1186, 20456, 1773, 1366, 1227, 16277, 1227, 2854, 1125, 488, 124, 132, 132, 124, 119, 2391, 24249, 1527, 1844, 1270, 6015, 1170, 15438, 1227, 3694, 1167, 488, 124, 14610, 20586, 1306, 1274, 12461, 1186, 1179, 8752, 1125, 1622, 5907, 1768, 1299, 6349, 10907, 1585, 5998, 2341, 15550, 1215, 31276, 2294, 6196, 488, 124, 129, 1188, 488, 132, 121, 2932, 5188, 10163, 2435, 2856, 1304, 31516, 1158, 488, 488, 128, 176, 2320, 27213, 1594, 6005, 14408, 1186, 9245, 121, 488, 106, 106, 5164, 1281, 2274, 5026, 1313, 1170, 3263, 488, 124, 129, 14610, 22571, 488, 124, 132, 132, 126, 121, 1653, 14334, 1197, 10222, 6282, 3365, 18764, 1313, 1207, 5505, 1517, 10562, 1199, 1197, 4153, 1317, 5971, 2121, 8590, 1281, 10825, 2072, 2939, 1199, 1313, 1207, 5505, 1517, 1125, 8684, 1810, 12334, 1199, 1170, 25985, 18564, 1554, 5843, 1186, 488, 124, 132, 132, 125, 119, 1167, 6058, 1622, 8765, 1317, 30978, 1304, 1428, 1208, 1158, 2076, 1894, 3798, 1778, 11346, 1527, 1299, 2072, 16121, 1125, 1622, 8765, 1317, 30978, 1125, 6951, 1472, 1107, 1215, 3203, 2768, 121, 106, 106, 17944, 3465, 1162, 8709, 1175, 124, 132, 132, 127, 120, 124, 132, 132, 131, 116, 488, 106, 140, 2136, 2069, 26940, 2130, 6282, 1375, 3327, 1313, 1207, 5505, 1517, 1936, 3392, 16572, 8590, 1281, 11083, 1186, 14334, 1227, 3263, 488, 124, 129, 121, 23688, 1318, 20456, 1773, 1366, 1317, 5623, 8276, 488, 124, 132, 132, 128, 119, 1594, 9263, 1125, 2227, 1336, 1288, 2435, 2856, 1382, 1125, 1978, 6873, 1561, 2320, 7630, 1158, 16560, 1227, 6951, 1472, 1107, 5549, 2726, 5505, 1199, 6365, 1227, 3263, 488, 125, 123, 14610, 3672, 3458, 6586, 1297, 106, 106, 143, 244, 1395, 1109, 1167, 11521, 1175, 124, 132, 132, 132, 120, 125, 123, 123, 129, 116, 488, 106, 17971, 4319, 1125, 1158, 6586, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 119, 8590, 5016, 1227, 3263, 488, 126, 125, 14610, 1256, 1158, 3453, 2768, 2757, 488, 124, 132, 131, 131, 121, 4060, 2627, 1292, 4476, 1300, 1170, 2678, 5097, 7032, 28525, 7971, 1318, 4927, 1125, 30634, 3713, 1408, 12991, 119, 1125, 5685, 23879, 2313, 1298, 1288, 1215, 6221, 8516, 1382, 1188, 1281, 11924, 2040, 1317, 3285, 1197, 26940, 1357, 2419, 3310, 1594, 14408, 4216, 1125, 8466, 1987, 11781, 1309, 1909, 6282, 1288, 2368, 1174, 3567, 1121, 1129, 8563, 1995, 1906, 3365, 1299, 1826, 1603, 6452, 1300, 1170, 12516, 23303, 1186, 488, 125, 123, 123, 125, 121, 106, 106, 6880, 2439, 2313, 1298, 30957, 1188, 1978, 6873, 1561, 2320, 1186, 488, 125, 123, 123, 127, 119, 8776, 1199, 2076, 1318, 3453, 16538, 1256, 1189, 25985, 14399, 1186, 5999, 5305, 1188, 1282, 9587, 1227, 3293, 1125, 7494, 11602, 1768, 10515, 22580, 1125, 1561, 6128, 1465, 18443, 1313, 1170, 11426, 2804, 2335, 25985, 2040, 1527, 1251, 1299, 10907, 1585, 1215, 8713, 7472, 4796, 1170, 3151, 3543, 121, 4273, 1215, 27143, 1382, 1188, 8182, 1594, 6005, 4041, 119, 16572, 8590, 10656, 1594, 18033, 1227, 6951, 1472, 1107, 14610, 1186, 488, 125, 123, 123, 129, 121, 106, 106, 161, 1214, 12997, 488, 106, 23079, 1219, 5258, 119, 8590, 9263, 1282, 9587, 1125, 11961, 3551, 13744, 1186, 488, 125, 123, 123, 127, 1186, 5169, 2519, 19062, 1338, 185, 5907, 106, 106, 155, 26361, 106, 106, 159, 30087, 106, 106, 16519, 2137, 7171, 1813, 106, 106, 20634, 1167, 5474, 488, 106, 106, 149, 12590, 9400, 1125, 6951, 1472, 1107, 106, 153, 3400, 1186, 2738, 488, 124, 132, 129, 124, 106, 153, 3400, 1313, 1170, 20915, 1404, 27795, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 152, 1142, 3525, 3282, 1239, 1110, 3998, 1153, 1161, 7959, 1205, 1154, 3436, 1147, 1135, 4772, 7829, 3525, 180, 7726, 2596, 106, 106, 2474, 1161, 13594, 106, 8321, 8756, 1163, 1867, 178, 16018, 27398, 1172, 9836, 1171, 3276, 1176, 1130, 17618, 488, 125, 123, 124, 130, 133, 106, 152, 1142, 3525, 3282, 1294, 1219, 1174, 4735, 11109, 22360, 177, 1673, 11330, 1659, 488, 125, 123, 123, 132, 106, 152, 1142, 3525, 3282, 1294, 13005, 196, 1811, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 152, 1142, 3525, 3282, 1294, 187, 12654, 1255, 31821, 3099, 23716, 488, 124, 131, 128, 126, 106, 152, 1142, 3525, 3282, 1151, 191, 4691, 1310, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 152, 1142, 3525, 3282, 2973, 13666, 1255, 9519, 197, 182, 1246, 5005, 1810, 1350, 1243, 1831, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 152, 1142, 3525, 3282, 1296, 1575, 1310, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 152, 1142, 3525, 3282, 3688, 173, 12924, 1811, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 125, 106, 152, 1142, 3525, 3282, 1280, 1141, 4279, 180, 1518, 1183, 197, 184, 1532, 5544, 1321, 1569, 1287, 1246, 5005, 172, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 125, 106, 152, 1142, 3525, 3282, 1280, 1514, 176, 9519, 197, 182, 1246, 5005, 1810, 1350, 1243, 1831, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 152, 1142, 3525, 3282, 20266, 17529, 14411, 29701, 1165, 180, 1383, 1119, 4353, 2397, 2554, 1374, 2547, 1810, 1204, 1307, 5930, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 127, 106, 152, 1142, 3525, 3282, 1138, 2562, 1126, 1620, 180, 25341, 16628, 28381, 2114, 1518, 1183, 197, 184, 1532, 182, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 127, 106, 152, 1142, 3525, 3282, 7121, 1210, 196, 3513, 1277, 1233, 1490, 172, 1673, 19263, 1128, 2086, 488, 124, 132, 132, 123, 106, 152, 1142, 3525, 3282, 1106, 2589, 1462, 1120, 1165, 180, 1383, 1119, 4353, 9519, 197, 182, 1246, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 152, 1142, 3525, 3282, 1227, 9827, 1475, 1462, 1120, 1671, 18509, 488, 125, 123, 123, 126, 106, 152, 1142, 3525, 3282, 3058, 10668, 1137, 1255, 1204, 2649, 22679, 488, 124, 132, 132, 124, 106, 152, 1142, 3525, 3282, 13179, 1203, 29914, 13082, 9344, 1190, 17618, 488, 124, 132, 129, 125, 106, 152, 1142, 3525, 3282, 1225, 1183, 22228, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 123, 106, 152, 1142, 3525, 3282, 1498, 10521, 197, 1869, 4735, 1518, 1183, 197, 184, 1532, 5544, 6174, 12172, 6920, 182, 1673, 3032, 1141, 15151, 488, 125, 123, 123, 127, 106, 152, 1142, 3525, 3282, 1498, 189, 197, 1591, 197, 1845, 22108, 1518, 1183, 197, 184, 1532, 182, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 123, 130, 106, 152, 1142, 3525, 3282, 1498, 1307, 1670, 5896, 186, 252, 2086, 1222, 1992, 1810, 12116, 25143, 2086, 14441, 5101, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 152, 1142, 3525, 3282, 1158, 6645, 180, 24824, 29835, 1659, 1306, 19527, 1673, 6604, 1327, 2357, 488, 125, 123, 124, 126, 106, 152, 1142, 3525, 3282, 2102, 180, 3513, 1277, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 152, 1142, 3525, 3282, 18592, 8868, 1176, 1255, 1266, 1156, 1201, 1216, 257, 5862, 488, 124, 132, 124, 132, 106, 152, 1142, 3525, 3282, 11791, 1255, 19263, 7613, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 152, 1142, 3525, 3282, 1169, 5884, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 152, 1142, 3525, 3282, 1169, 17302, 29914, 19263, 1128, 2086, 1233, 1490, 172, 1673, 14787, 2433, 488, 125, 123, 123, 125, 106, 152, 1142, 3525, 3282, 13890, 1154, 176, 19263, 7613, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 152, 1142, 3525, 3282, 1492, 1142, 2562, 4735, 29835, 1659, 488, 125, 123, 124, 128, 106, 152, 1142, 3525, 3282, 5768, 1220, 16714, 15155, 119, 1539, 1562, 8376, 24545, 1673, 21200, 10465, 488, 125, 123, 124, 129, 106, 152, 1142, 3525, 3282, 7959, 1205, 9254, 1255, 1222, 1487, 6909, 488, 124, 131, 127, 123, 106, 152, 1142, 3525, 3282, 1111, 1130, 5663, 1174, 1488, 29914, 19263, 7613, 1673, 1233, 1490, 1810, 488, 124, 132, 132, 124, 106, 152, 1142, 3525, 3282, 1111, 6632, 1651, 180, 19263, 1128, 2086, 18543, 10445, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 152, 1142, 3525, 3282, 4198, 1255, 19263, 1128, 2086, 18543, 1488, 1810, 4787, 19346, 1756, 1673, 14787, 2433, 488, 125, 123, 124, 130, 106, 152, 1142, 3525, 3282, 2739, 6625, 1176, 1255, 6044, 5544, 1293, 266, 1349, 1345, 5544, 4357, 7792, 2893, 1193, 8221, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 129, 106, 152, 1142, 3525, 3282, 1152, 1121, 2012, 19263, 1128, 2086, 18543, 10445, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 152, 1142, 3525, 3282, 2207, 190, 1132, 28492, 4735, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 123, 106, 466, 152, 1142, 3525, 3282, 5768, 1172, 1462, 6200, 180, 27398, 1172, 9836, 1673, 1293, 2965, 1132, 1331, 119, 488, 125, 123, 123, 123, 106, 106, 17696, 7261, 8119, 106, 143, 1487, 6909, 488, 124, 131, 127, 123, 133, 23789, 1941, 1300, 1207, 1198, 1379, 1205, 9254, 1457, 4670, 2137, 1197, 10850, 12548, 183, 5899, 1859, 7393, 1770, 3737, 1576, 106, 106, 26722, 14520, 106, 106, 20634, 1171, 22874, 106, 106, 152, 1142, 3525, 180, 19609, 106, 159, 1379, 1205, 30739, 1175, 2865, 1354, 3796, 2220, 116, 32001, 488, 106, 32000, 20036, 106, 152, 1142, 3525, 3282, 1299, 1189, 7433, 1125, 7959, 1205, 1154, 3436, 1125, 1158, 4446, 1197, 7829, 3525, 180, 7726, 2596, 106, 106, 151, 2038, 1197, 14360, 488, 106, 158, 3015, 1867, 178, 16018, 27398, 1172, 9836, 1167, 3276, 1176, 1130, 17618, 488, 125, 123, 124, 130, 1257, 106, 7829, 3525, 3282, 1294, 1219, 1174, 4735, 11109, 22360, 177, 1673, 11330, 1659, 488, 125, 123, 123, 132, 106, 7829, 3525, 3282, 1294, 13005, 196, 1811, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 1294, 187, 12654, 1255, 31821, 3099, 23716, 488, 124, 131, 128, 126, 106, 7829, 3525, 3282, 1151, 191, 4691, 1310, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 2973, 13666, 1255, 9519, 197, 182, 1246, 5005, 1810, 1350, 1243, 1831, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 1296, 1575, 1310, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 3688, 173, 12924, 1811, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 125, 106, 7829, 3525, 3282, 1280, 1141, 4279, 180, 1518, 1183, 197, 184, 1532, 5544, 1321, 1569, 1287, 1246, 5005, 172, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 125, 106, 7829, 3525, 3282, 1280, 1514, 176, 9519, 197, 182, 1246, 5005, 1810, 1350, 1243, 1831, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 20266, 17529, 14411, 29701, 1165, 180, 1383, 1119, 4353, 2397, 2554, 1374, 2547, 1810, 1204, 1307, 5930, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 127, 106, 7829, 3525, 3282, 1138, 2562, 1126, 1620, 180, 25341, 16628, 28381, 2114, 1518, 1183, 197, 184, 1532, 182, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 127, 106, 7829, 3525, 3282, 7121, 1210, 196, 3513, 1277, 1233, 1490, 172, 1673, 19263, 1128, 2086, 488, 124, 132, 132, 123, 106, 7829, 3525, 3282, 1106, 2589, 1462, 1120, 1165, 180, 1383, 1119, 4353, 9519, 197, 182, 1246, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 1227, 9827, 1475, 1462, 1120, 1671, 18509, 488, 125, 123, 123, 126, 106, 7829, 3525, 3282, 3058, 10668, 1137, 1255, 1204, 2649, 22679, 488, 124, 132, 132, 124, 106, 7829, 3525, 3282, 13179, 1203, 29914, 13082, 9344, 1190, 17618, 488, 124, 132, 129, 125, 106, 7829, 3525, 3282, 1225, 1183, 22228, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 123, 106, 7829, 3525, 3282, 1498, 10521, 197, 1869, 4735, 1518, 1183, 197, 184, 1532, 5544, 6174, 12172, 6920, 182, 1673, 3032, 1141, 15151, 488, 125, 123, 123, 127, 106, 7829, 3525, 3282, 1498, 189, 197, 1591, 197, 1845, 22108, 1518, 1183, 197, 184, 1532, 182, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 123, 130, 106, 7829, 3525, 3282, 1498, 1307, 1670, 5896, 186, 252, 2086, 1222, 1992, 1810, 12116, 25143, 2086, 14441, 5101, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 1158, 6645, 180, 24824, 29835, 1659, 1306, 19527, 1673, 6604, 1327, 2357, 488, 125, 123, 124, 126, 106, 7829, 3525, 3282, 2102, 180, 3513, 1277, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 18592, 8868, 1176, 1255, 1266, 1156, 1201, 1216, 257, 5862, 488, 124, 132, 124, 132, 106, 7829, 3525, 3282, 11791, 1255, 19263, 7613, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 1169, 5884, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 1169, 17302, 29914, 19263, 1128, 2086, 1233, 1490, 172, 1673, 14787, 2433, 488, 125, 123, 123, 125, 106, 7829, 3525, 3282, 13890, 1154, 176, 19263, 7613, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 1492, 1142, 2562, 4735, 29835, 1659, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 5768, 1220, 16714, 15155, 119, 1539, 1562, 8376, 24545, 1673, 21200, 10465, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 7959, 1205, 9254, 1255, 1222, 1487, 6909, 488, 124, 131, 127, 123, 106, 7829, 3525, 3282, 1111, 1130, 5663, 1174, 1488, 29914, 19263, 7613, 1673, 1233, 1490, 1810, 488, 124, 132, 132, 124, 106, 7829, 3525, 3282, 1111, 6632, 1651, 180, 19263, 1128, 2086, 18543, 10445, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 4198, 1255, 19263, 1128, 2086, 18543, 1488, 1810, 4787, 19346, 1756, 1673, 14787, 2433, 488, 125, 123, 124, 130, 106, 7829, 3525, 3282, 2739, 6625, 1176, 1255, 6044, 5544, 1293, 266, 1349, 1345, 5544, 4357, 7792, 2893, 1193, 8221, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 1152, 1121, 2012, 19263, 1128, 2086, 18543, 10445, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 2207, 190, 1132, 28492, 4735, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 123, 106, 488, 466, 7829, 3525, 3282, 5768, 1172, 1462, 6200, 180, 27398, 1172, 9836, 1673, 1293, 2965, 1132, 1331, 119, 488, 125, 123, 123, 123, 106, 106, 22081, 1162, 17482, 488, 106, 1222, 1487, 6909, 488, 124, 131, 127, 123, 1257, 23789, 1941, 1300, 1207, 1198, 1379, 1205, 9254, 1457, 4670, 2137, 1197, 10850, 12548, 183, 5899, 1859, 488, 1175, 8934, 8363, 1132, 1576, 488, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 488, 106, 106, 152, 1142, 3525, 180, 19609, 106, 159, 1379, 1205, 30739, 29610, 11246, 116, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 152, 1142, 3525, 3282, 1299, 1189, 7433, 1125, 7959, 1205, 1154, 3436, 1125, 1158, 4446, 1197, 7829, 3525, 180, 7726, 2596, 106, 106, 151, 2038, 1197, 14360, 488, 106, 158, 3015, 1867, 178, 16018, 27398, 1172, 9836, 1167, 3276, 1176, 1130, 17618, 488, 125, 123, 124, 130, 1257, 106, 7829, 3525, 3282, 1294, 1219, 1174, 4735, 11109, 22360, 177, 1673, 11330, 1659, 488, 125, 123, 123, 132, 106, 7829, 3525, 3282, 1294, 13005, 196, 1811, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 1294, 187, 12654, 1255, 31821, 3099, 23716, 488, 124, 131, 128, 126, 106, 7829, 3525, 3282, 1151, 191, 4691, 1310, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 2973, 13666, 1255, 9519, 197, 182, 1246, 5005, 1810, 1350, 1243, 1831, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 1296, 1575, 1310, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 3688, 173, 12924, 1811, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 125, 106, 7829, 3525, 3282, 1280, 1141, 4279, 180, 1518, 1183, 197, 184, 1532, 5544, 1321, 1569, 1287, 1246, 5005, 172, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 125, 106, 7829, 3525, 3282, 1280, 1514, 176, 9519, 197, 182, 1246, 5005, 1810, 1350, 1243, 1831, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 20266, 17529, 14411, 29701, 1165, 180, 1383, 1119, 4353, 2397, 2554, 1374, 2547, 1810, 1204, 1307, 5930, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 127, 106, 7829, 3525, 3282, 1138, 2562, 1126, 1620, 180, 25341, 16628, 28381, 2114, 1518, 1183, 197, 184, 1532, 182, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 127, 106, 7829, 3525, 3282, 7121, 1210, 196, 3513, 1277, 1233, 1490, 172, 1673, 19263, 1128, 2086, 488, 124, 132, 132, 123, 106, 7829, 3525, 3282, 1106, 2589, 1462, 1120, 1165, 180, 1383, 1119, 4353, 9519, 197, 182, 1246, 5005, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 1227, 9827, 1475, 1462, 1120, 1671, 18509, 488, 125, 123, 123, 126, 106, 7829, 3525, 3282, 3058, 10668, 1137, 1255, 1204, 2649, 22679, 488, 124, 132, 132, 124, 106, 7829, 3525, 3282, 13179, 1203, 29914, 13082, 9344, 1190, 17618, 488, 124, 132, 129, 125, 106, 7829, 3525, 3282, 1225, 1183, 22228, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 123, 106, 7829, 3525, 3282, 1498, 10521, 197, 1869, 4735, 1518, 1183, 197, 184, 1532, 5544, 6174, 12172, 6920, 182, 1673, 3032, 1141, 15151, 488, 125, 123, 123, 127, 106, 7829, 3525, 3282, 1498, 189, 197, 1591, 197, 1845, 22108, 1518, 1183, 197, 184, 1532, 182, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 123, 130, 106, 7829, 3525, 3282, 1498, 1307, 1670, 5896, 186, 252, 2086, 1222, 1992, 1810, 12116, 25143, 2086, 14441, 5101, 172, 1673, 1518, 1183, 197, 184, 1532, 5544, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 1158, 6645, 180, 24824, 29835, 1659, 1306, 19527, 1673, 6604, 1327, 2357, 488, 125, 123, 124, 126, 106, 7829, 3525, 3282, 2102, 180, 3513, 1277, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 18592, 8868, 1176, 1255, 1266, 1156, 1201, 1216, 257, 5862, 488, 124, 132, 124, 132, 106, 7829, 3525, 3282, 11791, 1255, 19263, 7613, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 1169, 5884, 1255, 1198, 6632, 23640, 488, 125, 123, 123, 129, 106, 7829, 3525, 3282, 1169, 17302, 29914, 19263, 1128, 2086, 1233, 1490, 172, 1673, 14787, 2433, 488, 125, 123, 123, 125, 106, 7829, 3525, 3282, 13890, 1154, 176, 19263, 7613, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 1492, 1142, 2562, 4735, 29835, 1659, 488, 125, 123, 124, 128, 106, 7829, 3525, 3282, 5768, 1220, 16714, 15155, 119, 1539, 1562, 8376, 24545, 1673, 21200, 10465, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 7959, 1205, 9254, 1255, 1222, 1487, 6909, 488, 124, 131, 127, 123, 106, 7829, 3525, 3282, 1111, 1130, 5663, 1174, 1488, 29914, 19263, 7613, 1673, 1233, 1490, 1810, 488, 124, 132, 132, 124, 106, 7829, 3525, 3282, 1111, 6632, 1651, 180, 19263, 1128, 2086, 18543, 10445, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 4198, 1255, 19263, 1128, 2086, 18543, 1488, 1810, 4787, 19346, 1756, 1673, 14787, 2433, 488, 125, 123, 124, 130, 106, 7829, 3525, 3282, 2739, 6625, 1176, 1255, 6044, 5544, 1293, 266, 1349, 1345, 5544, 4357, 7792, 2893, 1193, 8221, 1673, 6174, 12172, 6920, 5544, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 1152, 1121, 2012, 19263, 1128, 2086, 18543, 10445, 1673, 14787, 2433, 488, 125, 123, 124, 129, 106, 7829, 3525, 3282, 2207, 190, 1132, 28492, 4735, 29835, 1107, 1673, 1306, 1343, 2114, 488, 125, 123, 124, 123, 106, 488, 466, 7829, 3525, 3282, 5768, 1172, 1462, 6200, 180, 27398, 1172, 9836, 1673, 1293, 2965, 1132, 1331, 119, 488, 125, 123, 123, 123, 106, 106, 22081, 1162, 17482, 488, 106, 1222, 1487, 6909, 488, 124, 131, 127, 123, 1257, 23789, 1941, 1300, 1207, 1198, 1379, 1205, 9254, 1457, 4670, 2137, 1197, 10850, 12548, 183, 5899, 1859, 488, 1175, 8934, 8363, 1132, 1576, 488, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 488, 106, 106, 152, 1142, 3525, 180, 19609, 106, 159, 1379, 1205, 30739, 29610, 11246, 116, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 164, 5173, 2955, 9264, 1239, 1110, 13010, 172, 6446, 6794, 1171, 10956, 1589, 1449, 1518, 1137, 1514, 27899, 1174, 2433, 1758, 8492, 1147, 1135, 1306, 12638, 1145, 26935, 12574, 1204, 25465, 8772, 17575, 5834, 1147, 488, 125, 123, 123, 131, 121, 1645, 27639, 22412, 1449, 1518, 20770, 20105, 28188, 1110, 2664, 1147, 9844, 2910, 6674, 1171, 6384, 488, 125, 123, 124, 126, 121, 1645, 1350, 19535, 1463, 9578, 1238, 7286, 488, 124, 132, 119, 488, 125, 123, 124, 126, 121, 1410, 6446, 2220, 1239, 20343, 1446, 1135, 6326, 1235, 196, 5173, 2955, 9264, 1225, 1123, 1558, 109, 1175, 884, 520, 516, 599, 119, 1115, 5210, 17051, 1110, 9518, 4356, 6012, 106, 106, 158, 31751, 106, 1598, 6446, 14213, 1135, 11727, 9622, 1161, 3337, 2533, 3875, 15733, 134, 1135, 8555, 1663, 3230, 7949, 1671, 11149, 4849, 2086, 1135, 5788, 1269, 1671, 4849, 29223, 1171, 1135, 22724, 1171, 10664, 30975, 1364, 1671, 12118, 2000, 1393, 1543, 1910, 1161, 1135, 26597, 7879, 1355, 1789, 3875, 1175, 783, 881, 986, 1321, 280, 179, 280, 2393, 6533, 120, 1705, 1576, 3187, 1135, 15733, 11443, 1789, 5150, 4582, 2064, 1799, 7793, 1641, 6435, 1806, 19077, 1163, 4533, 2043, 1799, 1393, 1147, 1135, 5878, 29591, 106, 106, 7914, 1551, 1201, 106, 106, 164, 11149, 4849, 186, 1323, 16375, 11815, 133, 1248, 28389, 1498, 1287, 186, 106, 1598, 1940, 6644, 1161, 1135, 26597, 7879, 121, 3676, 23803, 1602, 1151, 23280, 1129, 3020, 1663, 11059, 9531, 1243, 190, 2127, 1656, 3277, 1212, 11369, 121, 25058, 2067, 24289, 22735, 11369, 1171, 30229, 4181, 4277, 2293, 1239, 6167, 2763, 26171, 2043, 1341, 6227, 1163, 5705, 2241, 106, 106, 164, 4849, 1662, 1323, 16375, 11815, 133, 3870, 14989, 23148, 19691, 106, 1598, 2423, 6644, 1161, 1135, 26597, 7879, 121, 1192, 13241, 1492, 196, 9717, 2000, 5298, 19562, 1296, 1135, 11917, 1618, 1163, 1671, 11149, 4849, 186, 1171, 1671, 4849, 1662, 1361, 1151, 16937, 2000, 5298, 2141, 1163, 2122, 1483, 18684, 106, 106, 164, 1670, 1323, 16375, 11815, 133, 1248, 24326, 31181, 25639, 106, 1598, 4823, 6644, 1161, 1135, 26597, 7879, 121, 1192, 9717, 2000, 1583, 5298, 6877, 1671, 11149, 4849, 18656, 1151, 3750, 1411, 2293, 19579, 2182, 26740, 2241, 3676, 6227, 1446, 1110, 17423, 196, 4772, 1171, 1463, 7888, 1324, 1671, 1670, 1147, 4907, 1626, 28673, 106, 106, 2330, 7304, 186, 1323, 16375, 11815, 133, 1192, 180, 1518, 1242, 7497, 106, 140, 1936, 184, 1230, 1161, 1135, 15733, 1171, 1135, 1936, 10283, 121, 3676, 1239, 1110, 19159, 9717, 2000, 28384, 12365, 4505, 1671, 1670, 1171, 8168, 1163, 1280, 7888, 1324, 20801, 1663, 1239, 9113, 21300, 1176, 1589, 1449, 1671, 11149, 4849, 186, 1171, 1671, 4849, 1662, 121, 106, 106, 10530, 180, 1323, 16375, 11815, 133, 4020, 178, 28389, 18500, 106, 140, 1936, 184, 1230, 1161, 1135, 15733, 1171, 1539, 7304, 18656, 5467, 121, 3676, 1734, 1104, 1110, 4238, 1905, 1539, 7304, 186, 1171, 1239, 5298, 16178, 9668, 1671, 1670, 1226, 7033, 1539, 7304, 186, 5064, 1446, 18684, 106, 106, 145, 28389, 1323, 16375, 11815, 133, 3318, 172, 2460, 1195, 1493, 192, 106, 2439, 2877, 1936, 184, 1230, 1161, 1135, 9717, 1285, 1171, 5467, 1161, 1539, 7304, 186, 1171, 8353, 3266, 3676, 1239, 14812, 1161, 8353, 30525, 27695, 1226, 1539, 7304, 186, 1171, 5298, 2122, 4580, 2067, 1905, 5081, 106, 106, 152, 1217, 1344, 1173, 1569, 1136, 7497, 1323, 16375, 11815, 133, 1671, 1670, 1306, 4846, 106, 1598, 15733, 114, 1936, 16920, 1171, 13614, 1121, 1161, 1135, 26597, 7879, 121, 3676, 1239, 5298, 4494, 5886, 1137, 109, 1175, 519, 542, 21103, 264, 2059, 1119, 116, 1449, 2067, 5208, 5404, 1163, 2067, 13241, 5035, 30070, 106, 106, 20887, 106, 106, 152, 25465, 106, 1598, 5379, 13010, 172, 6446, 1449, 1518, 1137, 1514, 27899, 14989, 8492, 1147, 1135, 1204, 25465, 8772, 17575, 5834, 12574, 29018, 1449, 1306, 12638, 1145, 26935, 1147, 488, 125, 123, 123, 131, 121, 1254, 1580, 20737, 280, 6383, 20857, 1161, 1135, 13010, 172, 2025, 9578, 2910, 5696, 488, 125, 130, 119, 488, 125, 123, 124, 123, 1171, 6674, 488, 125, 130, 119, 488, 125, 123, 124, 130, 121, 106, 106, 2439, 1587, 106, 1598, 27639, 1239, 11992, 1449, 1518, 20770, 20105, 28188, 1171, 18840, 1449, 25830, 1121, 3266, 1410, 6446, 10254, 1239, 4939, 1449, 1266, 1889, 4849, 186, 24212, 2194, 23621, 1171, 5080, 3195, 1449, 7013, 1242, 27311, 21949, 1514, 121, 1410, 6446, 1110, 2664, 2910, 6674, 488, 132, 119, 488, 125, 123, 124, 126, 1171, 6384, 488, 125, 128, 119, 488, 125, 123, 124, 126, 1171, 1463, 29679, 174, 30495, 1449, 1165, 5342, 1210, 196, 3538, 121, 1410, 12306, 14121, 1239, 1235, 10442, 12409, 12572, 1175, 578, 531, 524, 108, 1173, 271, 5022, 21629, 26482, 1449, 1248, 28389, 1498, 1287, 2086, 3870, 14989, 23148, 1506, 1810, 1171, 1248, 24326, 31181, 1156, 2036, 1410, 22565, 14121, 1239, 8162, 1319, 2365, 109, 1449, 4151, 28389, 7219, 1109, 1193, 2036, 1173, 1129, 1558, 12483, 31436, 26463, 1135, 27639, 1147, 10123, 1171, 1110, 1994, 2052, 2128, 17557, 1463, 9578, 1238, 7327, 488, 125, 126, 119, 488, 125, 123, 124, 127, 121, 1645, 1350, 19535, 1463, 9578, 1147, 9844, 1238, 7286, 488, 124, 132, 119, 488, 125, 123, 124, 126, 121, 1410, 12306, 14121, 1161, 1413, 1704, 1239, 18243, 180, 3599, 7901, 108, 1579, 1306, 180, 109, 1175, 516, 537, 534, 516, 524, 108, 531, 823, 1192, 1173, 12178, 5006, 8242, 21629, 1171, 1135, 22565, 14121, 1239, 8162, 5945, 10831, 1579, 1198, 2716, 182, 1136, 2461, 1514, 109, 1175, 902, 531, 525, 517, 538, 514, 522, 3671, 1163, 12794, 1110, 13105, 18323, 1496, 3251, 12742, 1449, 1498, 1287, 2086, 23148, 1506, 1810, 1171, 31181, 1156, 2036, 106, 106, 1891, 9520, 106, 106, 3732, 1109, 1108, 13010, 172, 32001, 488, 106, 32000, 20036, 106, 106, 164, 5173, 2955, 9264, 1299, 1318, 4726, 1125, 13010, 1141, 28202, 1167, 10956, 1234, 1215, 1518, 1137, 1514, 27899, 1174, 2433, 1357, 1110, 13551, 1313, 1170, 12574, 8325, 1348, 1215, 1306, 12638, 1145, 26935, 1204, 25465, 8772, 17575, 5834, 1188, 3862, 1125, 488, 125, 123, 123, 131, 121, 1814, 27639, 14317, 1215, 1518, 20770, 20105, 189, 3794, 1357, 1110, 1913, 31125, 1317, 14506, 1835, 3012, 1167, 2798, 488, 125, 123, 124, 126, 121, 1814, 1350, 7288, 1299, 9665, 1170, 488, 124, 132, 2578, 488, 125, 123, 124, 126, 121, 1548, 1874, 1125, 1158, 4726, 1299, 20751, 244, 1227, 6706, 1235, 196, 5173, 2955, 9264, 1225, 1123, 1558, 109, 1175, 884, 520, 516, 599, 119, 1115, 5210, 8723, 1220, 1318, 4356, 4726, 1632, 6012, 106, 106, 158, 31751, 488, 106, 3562, 4726, 8295, 1158, 2492, 18460, 1125, 3203, 14706, 244, 6542, 2040, 8999, 6151, 1849, 1723, 8751, 1314, 1671, 11149, 4849, 2086, 1158, 20552, 1468, 1671, 4849, 1662, 1167, 1158, 22724, 1167, 9568, 30975, 1364, 1671, 12118, 1357, 4256, 2962, 3247, 1227, 7879, 4473, 12544, 1125, 1964, 17030, 1175, 783, 881, 986, 1321, 280, 179, 280, 2393, 6533, 120, 1705, 1576, 8921, 1207, 13257, 27300, 2770, 23835, 1188, 27129, 1659, 5138, 15000, 6395, 7793, 30429, 1197, 18711, 1188, 18173, 3817, 5138, 1508, 1313, 1158, 7624, 1227, 5878, 121, 106, 106, 155, 7849, 1741, 488, 106, 488, 106, 164, 11149, 4849, 186, 1323, 8945, 12273, 4964, 1257, 1248, 28389, 1498, 1287, 186, 106, 1643, 3453, 6711, 1227, 5878, 4473, 12544, 121, 3450, 1110, 29732, 1318, 3020, 23280, 1849, 1723, 7008, 2399, 9507, 1230, 1313, 1197, 31304, 1125, 12175, 1656, 3277, 13678, 23688, 1594, 12175, 24289, 1890, 1167, 1909, 10862, 8882, 5899, 2399, 1299, 1186, 1844, 2205, 8872, 1849, 3817, 1527, 10515, 7993, 3898, 1657, 106, 488, 106, 164, 4849, 1662, 1323, 8945, 12273, 4964, 1257, 3870, 14989, 23148, 19691, 106, 1643, 6311, 6711, 1227, 5878, 4473, 12544, 121, 3559, 5921, 7492, 3498, 1468, 1357, 12425, 4701, 1125, 14514, 4726, 7489, 1215, 3598, 1571, 1138, 245, 2011, 1104, 1125, 1671, 11149, 4849, 186, 1167, 1125, 1671, 4849, 29223, 1357, 1110, 2617, 4701, 1158, 7899, 17922, 1657, 106, 488, 106, 164, 1670, 1323, 8945, 12273, 4964, 133, 1248, 24326, 31181, 25639, 106, 1643, 8483, 6711, 1227, 5878, 4473, 12544, 121, 3559, 5921, 1357, 5235, 27126, 4701, 1207, 26650, 1141, 1125, 1671, 11149, 4849, 2086, 1995, 2399, 1207, 5209, 26740, 5996, 3450, 7424, 2519, 4446, 13397, 1167, 3031, 28090, 1469, 1671, 1670, 1313, 19543, 8288, 7441, 106, 488, 106, 2330, 7304, 186, 1323, 8945, 12273, 4964, 133, 1192, 180, 1518, 1242, 7497, 106, 3559, 30733, 2240, 1125, 5971, 1197, 13257, 1167, 1158, 12752, 1125, 1158, 5971, 121, 3450, 1299, 1318, 5921, 17683, 1415, 1357, 12365, 1229, 3713, 1671, 1670, 1167, 7353, 8753, 28090, 1469, 23320, 1723, 1299, 7492, 21300, 9232, 1215, 1671, 11149, 4849, 186, 1167, 1671, 4849, 1662, 121, 106, 488, 106, 10530, 180, 1323, 8945, 12273, 4964, 133, 4020, 178, 28389, 18500, 106, 3559, 30733, 2240, 1125, 5971, 1197, 13257, 1167, 28090, 1125, 1539, 7304, 2181, 3450, 10491, 3713, 1539, 7304, 186, 1167, 1299, 4701, 13281, 1468, 16221, 1671, 1670, 1256, 2782, 21560, 8694, 1539, 7304, 186, 1304, 15937, 106, 488, 106, 145, 28389, 1323, 8945, 12273, 4964, 133, 3318, 172, 2460, 1195, 1493, 192, 106, 3559, 3419, 30733, 2240, 1197, 10497, 1346, 1167, 28090, 1125, 1539, 7304, 186, 1167, 1125, 8353, 3266, 3450, 1299, 1458, 1780, 1849, 1227, 12953, 1125, 8353, 180, 1256, 1539, 7304, 186, 1167, 1158, 7899, 1134, 1314, 4701, 1188, 1440, 26180, 106, 488, 106, 152, 1217, 1344, 1173, 1569, 1136, 7497, 1323, 8945, 12273, 4964, 133, 1671, 1670, 1306, 4846, 106, 2576, 1811, 1442, 2009, 1125, 1158, 5971, 1197, 13257, 1167, 9265, 1450, 1227, 5878, 12813, 121, 3450, 1299, 4701, 20555, 5886, 11273, 109, 1175, 519, 542, 488, 21103, 264, 2059, 1119, 116, 1215, 1909, 11128, 1186, 5169, 1125, 1561, 3020, 7492, 30514, 6204, 106, 106, 20887, 106, 106, 152, 25465, 488, 106, 3562, 4726, 17482, 1125, 13010, 172, 1215, 1518, 1137, 1514, 27899, 14989, 1110, 13551, 1313, 1170, 12574, 1204, 25465, 8772, 17575, 5834, 8325, 1348, 1215, 1306, 12638, 1145, 26935, 1188, 3862, 1125, 488, 125, 123, 123, 131, 121, 1306, 1635, 20857, 20737, 280, 6383, 1227, 13010, 172, 1508, 3594, 2011, 1835, 1170, 488, 125, 130, 2829, 488, 125, 123, 124, 123, 1167, 1170, 488, 125, 130, 3012, 488, 125, 123, 124, 130, 121, 106, 106, 2439, 1587, 488, 106, 6880, 1119, 1587, 1299, 2513, 1215, 1518, 20770, 20105, 28188, 1167, 1299, 29693, 1215, 25830, 1121, 3266, 1643, 10254, 1125, 1158, 4726, 1299, 11858, 1215, 1266, 1889, 4849, 186, 24212, 2194, 23621, 1167, 1158, 10533, 1125, 14115, 1215, 7013, 1242, 27311, 21949, 1514, 121, 1643, 4726, 3031, 29571, 1835, 1170, 488, 132, 3012, 488, 125, 123, 124, 126, 1167, 1170, 488, 125, 128, 2798, 488, 125, 123, 124, 126, 1167, 1110, 1913, 29571, 16054, 24908, 1215, 1165, 5342, 1210, 196, 3538, 121, 1548, 10395, 1125, 1282, 5344, 1149, 1299, 1235, 10442, 12409, 12572, 1175, 578, 531, 524, 108, 1173, 271, 5022, 21629, 13644, 1215, 1248, 28389, 1498, 1287, 2086, 3870, 14989, 23148, 19691, 1167, 1248, 24326, 31181, 1156, 2036, 1548, 10395, 1304, 4258, 1299, 8162, 1319, 2365, 109, 1304, 152, 1242, 28389, 7219, 1109, 1193, 2036, 1173, 1129, 1558, 12483, 31436, 1110, 11833, 3649, 13834, 1587, 1186, 23777, 1167, 1189, 17557, 2290, 2352, 1568, 1299, 9665, 1170, 488, 125, 126, 2875, 488, 125, 123, 124, 127, 121, 1814, 1350, 19535, 1299, 9665, 1317, 12273, 1170, 488, 124, 132, 2578, 488, 125, 123, 124, 126, 121, 1548, 10395, 1304, 5344, 1149, 1125, 1440, 4755, 1299, 18243, 180, 3599, 7901, 108, 1579, 1306, 180, 109, 1175, 516, 537, 534, 516, 524, 108, 531, 823, 1814, 2574, 16779, 2952, 1199, 21629, 1167, 1170, 10395, 1304, 4258, 1299, 8162, 5945, 10831, 1579, 1198, 2716, 182, 1136, 2461, 1514, 109, 1175, 902, 531, 525, 517, 538, 514, 522, 5502, 1982, 1189, 15349, 16940, 1496, 2183, 2069, 11925, 6235, 1215, 1498, 1287, 2086, 23148, 19691, 1167, 31181, 1156, 2036, 106, 106, 10853, 488, 106, 106, 3732, 1109, 1108, 13010, 172, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 106, 164, 5173, 2955, 9264, 1299, 1318, 4726, 1125, 13010, 1141, 28202, 1167, 10956, 1234, 1215, 1518, 1137, 1514, 27899, 1174, 2433, 1357, 1110, 13551, 1313, 1170, 12574, 8325, 1348, 1215, 1306, 12638, 1145, 26935, 1204, 25465, 8772, 17575, 5834, 1188, 3862, 1125, 488, 125, 123, 123, 131, 121, 1814, 27639, 14317, 1215, 1518, 20770, 20105, 189, 3794, 1357, 1110, 1913, 31125, 1317, 14506, 1835, 3012, 1167, 2798, 488, 125, 123, 124, 126, 121, 1814, 1350, 7288, 1299, 9665, 1170, 488, 124, 132, 2578, 488, 125, 123, 124, 126, 121, 1548, 1874, 1125, 1158, 4726, 1299, 20751, 244, 1227, 6706, 1235, 196, 5173, 2955, 9264, 1225, 1123, 1558, 109, 1175, 884, 520, 516, 599, 119, 1115, 5210, 8723, 1220, 1318, 4356, 4726, 1632, 6012, 106, 106, 158, 31751, 488, 106, 3562, 4726, 8295, 1158, 2492, 18460, 1125, 3203, 14706, 244, 6542, 2040, 8999, 6151, 1849, 1723, 8751, 1314, 1671, 11149, 4849, 2086, 1158, 20552, 1468, 1671, 4849, 1662, 1167, 1158, 22724, 1167, 9568, 30975, 1364, 1671, 12118, 1357, 4256, 2962, 3247, 1227, 7879, 4473, 12544, 1125, 1964, 17030, 1175, 783, 881, 986, 1321, 280, 179, 280, 2393, 6533, 120, 1705, 1576, 8921, 1207, 13257, 27300, 2770, 23835, 1188, 27129, 1659, 5138, 15000, 6395, 7793, 30429, 1197, 18711, 1188, 18173, 3817, 5138, 1508, 1313, 1158, 7624, 1227, 5878, 121, 106, 106, 155, 7849, 1741, 488, 106, 488, 106, 164, 11149, 4849, 186, 1323, 8945, 12273, 4964, 1257, 1248, 28389, 1498, 1287, 186, 106, 1643, 3453, 6711, 1227, 5878, 4473, 12544, 121, 3450, 1110, 29732, 1318, 3020, 23280, 1849, 1723, 7008, 2399, 9507, 1230, 1313, 1197, 31304, 1125, 12175, 1656, 3277, 13678, 23688, 1594, 12175, 24289, 1890, 1167, 1909, 10862, 8882, 5899, 2399, 1299, 1186, 1844, 2205, 8872, 1849, 3817, 1527, 10515, 7993, 3898, 1657, 106, 488, 106, 164, 4849, 1662, 1323, 8945, 12273, 4964, 1257, 3870, 14989, 23148, 19691, 106, 1643, 6311, 6711, 1227, 5878, 4473, 12544, 121, 3559, 5921, 7492, 3498, 1468, 1357, 12425, 4701, 1125, 14514, 4726, 7489, 1215, 3598, 1571, 1138, 245, 2011, 1104, 1125, 1671, 11149, 4849, 186, 1167, 1125, 1671, 4849, 29223, 1357, 1110, 2617, 4701, 1158, 7899, 17922, 1657, 106, 488, 106, 164, 1670, 1323, 8945, 12273, 4964, 133, 1248, 24326, 31181, 25639, 106, 1643, 8483, 6711, 1227, 5878, 4473, 12544, 121, 3559, 5921, 1357, 5235, 27126, 4701, 1207, 26650, 1141, 1125, 1671, 11149, 4849, 2086, 1995, 2399, 1207, 5209, 26740, 5996, 3450, 7424, 2519, 4446, 13397, 1167, 3031, 28090, 1469, 1671, 1670, 1313, 19543, 8288, 7441, 106, 488, 106, 2330, 7304, 186, 1323, 8945, 12273, 4964, 133, 1192, 180, 1518, 1242, 7497, 106, 3559, 30733, 2240, 1125, 5971, 1197, 13257, 1167, 1158, 12752, 1125, 1158, 5971, 121, 3450, 1299, 1318, 5921, 17683, 1415, 1357, 12365, 1229, 3713, 1671, 1670, 1167, 7353, 8753, 28090, 1469, 23320, 1723, 1299, 7492, 21300, 9232, 1215, 1671, 11149, 4849, 186, 1167, 1671, 4849, 1662, 121, 106, 488, 106, 10530, 180, 1323, 8945, 12273, 4964, 133, 4020, 178, 28389, 18500, 106, 3559, 30733, 2240, 1125, 5971, 1197, 13257, 1167, 28090, 1125, 1539, 7304, 2181, 3450, 10491, 3713, 1539, 7304, 186, 1167, 1299, 4701, 13281, 1468, 16221, 1671, 1670, 1256, 2782, 21560, 8694, 1539, 7304, 186, 1304, 15937, 106, 488, 106, 145, 28389, 1323, 8945, 12273, 4964, 133, 3318, 172, 2460, 1195, 1493, 192, 106, 3559, 3419, 30733, 2240, 1197, 10497, 1346, 1167, 28090, 1125, 1539, 7304, 186, 1167, 1125, 8353, 3266, 3450, 1299, 1458, 1780, 1849, 1227, 12953, 1125, 8353, 180, 1256, 1539, 7304, 186, 1167, 1158, 7899, 1134, 1314, 4701, 1188, 1440, 26180, 106, 488, 106, 152, 1217, 1344, 1173, 1569, 1136, 7497, 1323, 8945, 12273, 4964, 133, 1671, 1670, 1306, 4846, 106, 2576, 1811, 1442, 2009, 1125, 1158, 5971, 1197, 13257, 1167, 9265, 1450, 1227, 5878, 12813, 121, 3450, 1299, 4701, 20555, 5886, 11273, 109, 1175, 519, 542, 488, 21103, 264, 2059, 1119, 116, 1215, 1909, 11128, 1186, 5169, 1125, 1561, 3020, 7492, 30514, 6204, 106, 106, 20887, 106, 106, 152, 25465, 488, 106, 3562, 4726, 17482, 1125, 13010, 172, 1215, 1518, 1137, 1514, 27899, 14989, 1110, 13551, 1313, 1170, 12574, 1204, 25465, 8772, 17575, 5834, 8325, 1348, 1215, 1306, 12638, 1145, 26935, 1188, 3862, 1125, 488, 125, 123, 123, 131, 121, 1306, 1635, 20857, 20737, 280, 6383, 1227, 13010, 172, 1508, 3594, 2011, 1835, 1170, 488, 125, 130, 2829, 488, 125, 123, 124, 123, 1167, 1170, 488, 125, 130, 3012, 488, 125, 123, 124, 130, 121, 106, 106, 2439, 1587, 488, 106, 6880, 1119, 1587, 1299, 2513, 1215, 1518, 20770, 20105, 28188, 1167, 1299, 29693, 1215, 25830, 1121, 3266, 1643, 10254, 1125, 1158, 4726, 1299, 11858, 1215, 1266, 1889, 4849, 186, 24212, 2194, 23621, 1167, 1158, 10533, 1125, 14115, 1215, 7013, 1242, 27311, 21949, 1514, 121, 1643, 4726, 3031, 29571, 1835, 1170, 488, 132, 3012, 488, 125, 123, 124, 126, 1167, 1170, 488, 125, 128, 2798, 488, 125, 123, 124, 126, 1167, 1110, 1913, 29571, 16054, 24908, 1215, 1165, 5342, 1210, 196, 3538, 121, 1548, 10395, 1125, 1282, 5344, 1149, 1299, 1235, 10442, 12409, 12572, 1175, 578, 531, 524, 108, 1173, 271, 5022, 21629, 13644, 1215, 1248, 28389, 1498, 1287, 2086, 3870, 14989, 23148, 19691, 1167, 1248, 24326, 31181, 1156, 2036, 1548, 10395, 1304, 4258, 1299, 8162, 1319, 2365, 109, 1304, 152, 1242, 28389, 7219, 1109, 1193, 2036, 1173, 1129, 1558, 12483, 31436, 1110, 11833, 3649, 13834, 1587, 1186, 23777, 1167, 1189, 17557, 2290, 2352, 1568, 1299, 9665, 1170, 488, 125, 126, 2875, 488, 125, 123, 124, 127, 121, 1814, 1350, 19535, 1299, 9665, 1317, 12273, 1170, 488, 124, 132, 2578, 488, 125, 123, 124, 126, 121, 1548, 10395, 1304, 5344, 1149, 1125, 1440, 4755, 1299, 18243, 180, 3599, 7901, 108, 1579, 1306, 180, 109, 1175, 516, 537, 534, 516, 524, 108, 531, 823, 1814, 2574, 16779, 2952, 1199, 21629, 1167, 1170, 10395, 1304, 4258, 1299, 8162, 5945, 10831, 1579, 1198, 2716, 182, 1136, 2461, 1514, 109, 1175, 902, 531, 525, 517, 538, 514, 522, 5502, 1982, 1189, 15349, 16940, 1496, 2183, 2069, 11925, 6235, 1215, 1498, 1287, 2086, 23148, 19691, 1167, 31181, 1156, 2036, 106, 106, 10853, 488, 106, 106, 3732, 1109, 1108, 13010, 172, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 6396, 8212, 1146, 133, 488, 420, 406, 422, 16892, 418, 409, 402, 421, 407, 1496, 9204, 1238, 5696, 488, 124, 124, 119, 488, 125, 123, 123, 128, 119, 1239, 1110, 7219, 3770, 1119, 7711, 1107, 2000, 15751, 1296, 1110, 7515, 177, 1733, 1596, 1226, 7783, 1252, 1868, 121, 106, 106, 141, 180, 11114, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 17447, 7711, 1355, 1135, 7227, 1161, 488, 127, 121, 1988, 1463, 2067, 2511, 177, 3179, 2000, 28044, 2067, 1163, 2489, 1135, 6436, 121, 106, 106, 2809, 1287, 11588, 1107, 106, 147, 2759, 172, 3985, 1204, 1182, 1157, 15751, 1226, 1171, 1463, 20259, 1355, 1135, 7783, 1252, 1868, 5878, 121, 106, 106, 125, 123, 125, 124, 6707, 1764, 11859, 106, 4848, 2067, 5878, 119, 2293, 13085, 1163, 5916, 196, 1226, 1135, 2804, 8093, 1161, 1135, 1940, 16794, 1161, 1135, 1165, 7761, 24938, 6707, 1764, 11859, 7368, 1147, 1254, 9248, 20990, 14256, 1147, 1135, 29971, 119, 2293, 2876, 1375, 2489, 1147, 1938, 1161, 1135, 15792, 3545, 1413, 16794, 121, 106, 106, 125, 123, 125, 125, 1165, 7761, 6707, 1764, 11859, 133, 7783, 1252, 1868, 1238, 3263, 1161, 14016, 106, 18628, 1375, 5292, 9096, 1907, 1147, 1135, 1940, 16794, 119, 2293, 2876, 19646, 1147, 1135, 2423, 16794, 7368, 1147, 7219, 3770, 186, 1147, 7286, 488, 125, 123, 125, 125, 121, 1192, 4013, 11004, 2470, 7033, 1910, 1147, 1135, 13265, 120, 124, 130, 5055, 13121, 1147, 11444, 1324, 1135, 3781, 25419, 2293, 1463, 1135, 6176, 1182, 7402, 1147, 1135, 7783, 1252, 1868, 29971, 1163, 19646, 1147, 1135, 24938, 6707, 1764, 11859, 18885, 3906, 4735, 1306, 181, 196, 4520, 3026, 6176, 1659, 1663, 31582, 1306, 2759, 172, 3985, 184, 1182, 13723, 2293, 2876, 1375, 2489, 1147, 1135, 27834, 1576, 2502, 7286, 488, 125, 123, 119, 488, 125, 123, 125, 125, 119, 1147, 5775, 1161, 2067, 3489, 13843, 5242, 7783, 1252, 1868, 14969, 9917, 1135, 12621, 1226, 1135, 1940, 1907, 1147, 2019, 5517, 1449, 17809, 2267, 1683, 4258, 27712, 1204, 20693, 25682, 1173, 2506, 1782, 190, 488, 127, 120, 123, 121, 106, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 3512, 1589, 1147, 3337, 15792, 3545, 1135, 5505, 172, 2121, 2197, 1296, 1110, 4300, 7526, 106, 106, 1428, 13200, 11588, 1107, 106, 106, 152, 1121, 3770, 186, 13265, 120, 124, 130, 106, 2029, 1596, 1135, 23115, 1161, 14167, 30512, 1383, 1810, 1306, 2759, 172, 3985, 184, 1182, 1157, 1171, 2067, 3390, 13085, 1163, 5916, 196, 1226, 1135, 13265, 120, 124, 130, 5055, 13121, 2470, 18079, 2267, 6507, 2982, 1266, 1205, 1659, 1171, 1293, 13747, 2036, 3985, 184, 1182, 1157, 1463, 5684, 1135, 20809, 120, 1438, 8316, 8849, 1449, 23197, 1248, 1195, 1322, 1105, 1163, 30241, 1147, 1135, 2804, 8093, 1147, 11444, 1147, 7357, 488, 125, 123, 125, 125, 119, 2468, 7219, 3770, 186, 1279, 2580, 1147, 1135, 2957, 1290, 3301, 1622, 7591, 4823, 7594, 6279, 197, 6152, 30487, 1171, 1135, 4909, 26550, 3187, 1110, 25701, 3212, 2293, 9273, 1147, 2197, 3904, 1346, 4064, 25050, 1171, 4993, 2036, 106, 106, 152, 1121, 3770, 186, 13265, 120, 125, 123, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 1463, 8849, 1449, 23197, 1248, 1195, 1322, 1105, 1163, 19646, 1147, 1135, 6088, 7761, 13265, 120, 125, 123, 20704, 4080, 1147, 5696, 488, 125, 123, 125, 126, 121, 7219, 3770, 186, 9917, 1135, 27834, 1324, 1110, 7264, 4064, 2068, 2104, 1575, 1175, 124, 120, 124, 116, 1171, 13501, 3194, 4064, 16869, 1575, 1171, 27029, 1175, 124, 120, 123, 1576, 1192, 4866, 9136, 1147, 1135, 1940, 3904, 4064, 2068, 2104, 1575, 1238, 5696, 488, 124, 128, 119, 2293, 6166, 2197, 1693, 4045, 1147, 1135, 2423, 3904, 4064, 16869, 1575, 4698, 1121, 3770, 1119, 19542, 119, 488, 126, 120, 123, 1576, 106, 106, 2439, 1276, 3994, 1248, 1195, 1322, 1105, 4494, 7412, 2067, 1163, 2489, 1147, 2197, 19743, 15792, 4064, 1173, 2322, 8908, 1147, 1545, 180, 1467, 1238, 4151, 488, 124, 130, 1171, 488, 125, 123, 119, 488, 125, 123, 125, 126, 119, 1147, 27714, 1226, 1135, 488, 125, 123, 125, 127, 5055, 13121, 16538, 1297, 16312, 15792, 15200, 1147, 7219, 3770, 1119, 17809, 1889, 1175, 125, 120, 123, 1171, 488, 125, 120, 124, 1576, 3676, 9273, 1296, 1110, 4300, 1213, 1147, 1135, 2423, 3904, 121, 106, 106, 152, 1121, 3770, 1119, 5761, 11724, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 3512, 1589, 1147, 1135, 5055, 5761, 17295, 19047, 7368, 1147, 18458, 1128, 1446, 6942, 488, 125, 125, 1163, 488, 126, 124, 119, 488, 125, 123, 125, 126, 121, 6226, 1110, 7264, 4064, 1405, 178, 10990, 1175, 124, 120, 124, 1496, 7219, 3770, 186, 8720, 1163, 12689, 1175, 125, 120, 124, 1576, 25058, 1110, 4175, 5071, 4064, 1539, 1399, 1238, 1135, 2804, 2954, 1175, 124, 126, 120, 123, 1496, 1135, 7219, 3770, 1119, 3390, 1463, 18079, 1589, 3602, 1405, 178, 1265, 6822, 19542, 2060, 12689, 1175, 128, 120, 124, 1576, 1306, 2759, 172, 22568, 2197, 15083, 1147, 1413, 12621, 119, 3251, 4064, 1539, 1399, 121, 106, 106, 147, 1105, 1500, 106, 106, 1891, 9520, 106, 106, 26722, 9354, 190, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 1238, 1293, 8960, 106, 106, 141, 2589, 1147, 5696, 488, 125, 123, 123, 128, 106, 152, 1121, 3770, 1119, 7711, 1107, 106, 14674, 1226, 7783, 1252, 1868, 32001, 488, 106, 32000, 20036, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 7216, 26640, 1257, 488, 420, 406, 422, 16892, 418, 409, 402, 421, 407, 1496, 14232, 1170, 488, 124, 124, 2829, 488, 125, 123, 123, 128, 119, 1299, 1318, 4981, 173, 5738, 1632, 24657, 2100, 1357, 10809, 1317, 8536, 1125, 8007, 1125, 9108, 1188, 1282, 2235, 1252, 1868, 121, 106, 106, 141, 11741, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 19619, 1170, 7711, 2079, 19910, 1125, 488, 127, 8793, 6053, 1594, 2511, 3130, 1450, 1357, 1282, 1535, 18322, 1188, 27572, 1158, 10493, 4994, 106, 106, 20616, 4096, 1186, 5878, 106, 147, 2759, 172, 3985, 1204, 1182, 1157, 28160, 1167, 1299, 1830, 1303, 1317, 5878, 1125, 1282, 2235, 1252, 1868, 121, 106, 106, 151, 11636, 1197, 27712, 488, 125, 123, 125, 124, 106, 140, 6854, 1594, 5878, 119, 2399, 30957, 1188, 1281, 5916, 1374, 1256, 1158, 8093, 12244, 1125, 1158, 3453, 9891, 1125, 1158, 15696, 1197, 27712, 30284, 1125, 1158, 1165, 7761, 1357, 1110, 3601, 1186, 2605, 14378, 7017, 106, 141, 1354, 1309, 1313, 1170, 24223, 2399, 2551, 2214, 1186, 5047, 1188, 5631, 1197, 20825, 2391, 1125, 1816, 9891, 121, 106, 106, 151, 11636, 1197, 27712, 1165, 7761, 488, 125, 123, 125, 125, 1257, 2576, 2235, 1252, 1868, 1300, 1170, 15630, 1125, 6389, 9971, 106, 26692, 2399, 6739, 1382, 1125, 2658, 1125, 5047, 1158, 3453, 9891, 119, 2399, 24844, 1186, 3360, 3383, 1158, 6311, 1357, 1281, 10809, 1317, 13728, 7542, 1170, 2879, 1125, 2578, 488, 125, 123, 125, 125, 121, 106, 31160, 1485, 10031, 2750, 2782, 4766, 1910, 1188, 1158, 11609, 1227, 2854, 1197, 2864, 1125, 488, 124, 130, 2165, 1186, 11315, 1469, 1158, 5266, 119, 2399, 1299, 1158, 1408, 6018, 10809, 1632, 1125, 16371, 24750, 1125, 1282, 2235, 1252, 1868, 1188, 10848, 1188, 1158, 6707, 1764, 11859, 30284, 18885, 3906, 4735, 1306, 181, 196, 4520, 6058, 1408, 6018, 119, 1723, 23481, 1188, 1306, 2759, 172, 3985, 184, 1182, 13723, 2399, 2551, 2214, 1382, 1186, 5047, 2391, 1227, 25985, 1576, 106, 2606, 488, 125, 123, 2578, 488, 125, 123, 125, 125, 5551, 1594, 14510, 1282, 2235, 1252, 1868, 24254, 1215, 1878, 12402, 1158, 15142, 1256, 1158, 3453, 2768, 1125, 1594, 7635, 1571, 18352, 1227, 15438, 1227, 3694, 1204, 20693, 25682, 1173, 2506, 1782, 190, 2750, 2368, 1640, 10100, 1303, 488, 127, 25460, 1188, 488, 123, 121, 106, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 13300, 1188, 3203, 20825, 7542, 1170, 25985, 2487, 2069, 1186, 4083, 1309, 12456, 121, 106, 106, 20616, 4096, 10903, 106, 106, 24338, 1237, 1323, 124, 130, 2165, 106, 158, 1212, 1158, 1166, 1118, 15163, 1215, 14167, 30512, 1383, 1810, 1306, 2759, 172, 3985, 184, 1182, 1157, 1167, 1561, 5266, 8524, 22471, 1188, 1281, 5916, 1374, 1256, 1158, 11609, 1227, 2854, 1197, 2864, 1125, 488, 124, 130, 2165, 2750, 2782, 21548, 3356, 1170, 22242, 2982, 1170, 15308, 2648, 1170, 1293, 13747, 2036, 106, 13661, 184, 1182, 1157, 8017, 7630, 1207, 11400, 8687, 120, 1515, 10809, 3027, 11963, 1813, 1215, 23197, 1248, 1195, 1322, 1105, 1256, 20096, 1107, 1158, 8093, 12244, 1186, 11315, 7542, 1170, 2879, 1304, 15823, 488, 125, 123, 125, 125, 1188, 25994, 1125, 5685, 1170, 13728, 5016, 1317, 3151, 3543, 1186, 5503, 1199, 8483, 1125, 1594, 3274, 13644, 1227, 3261, 1234, 6152, 1125, 17289, 1208, 1167, 1197, 17941, 5068, 1248, 4122, 8247, 7352, 2399, 13300, 1188, 2069, 13656, 1125, 1158, 15142, 119, 2714, 1170, 23464, 1167, 17289, 28975, 106, 106, 24338, 1237, 1323, 125, 123, 2165, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 1299, 5266, 11980, 1215, 23197, 1248, 1195, 1322, 1105, 1256, 10848, 1317, 20704, 1593, 1125, 1282, 3600, 7761, 1197, 1323, 125, 123, 2165, 1186, 2829, 488, 125, 123, 125, 126, 121, 106, 159, 1854, 1593, 1309, 1170, 13728, 18900, 1186, 9005, 3904, 14271, 2714, 27542, 17276, 1175, 124, 120, 124, 116, 1167, 1186, 2191, 1199, 2069, 9672, 3691, 1188, 1158, 28701, 1167, 12547, 24909, 1175, 124, 120, 123, 1576, 1248, 4122, 8247, 2009, 2391, 1227, 3151, 3904, 2714, 27542, 17276, 1170, 488, 124, 128, 1557, 1285, 2399, 3338, 4229, 2069, 24266, 1805, 1120, 4111, 2391, 1227, 6311, 3904, 2714, 1158, 28701, 9321, 1146, 8648, 24657, 8012, 488, 126, 120, 123, 1576, 106, 106, 2439, 1276, 3994, 1248, 1195, 1322, 1105, 1844, 4689, 1188, 1909, 2882, 1256, 20096, 1107, 2069, 20825, 1675, 1146, 1541, 2714, 1170, 28017, 1188, 1545, 180, 1467, 25472, 1207, 488, 124, 130, 1167, 488, 125, 123, 2738, 488, 125, 123, 125, 126, 1313, 1170, 1663, 1125, 14344, 10796, 1256, 1207, 12234, 8480, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 125, 127, 121, 1808, 2069, 20825, 1281, 5503, 1129, 1300, 2069, 2968, 14261, 24657, 2915, 1175, 125, 120, 123, 2648, 488, 125, 120, 124, 1576, 3450, 13300, 1317, 2423, 3904, 1186, 4083, 1309, 12456, 121, 106, 106, 24338, 1237, 13980, 106, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 13300, 1317, 16277, 1227, 2854, 1125, 7711, 13980, 16142, 1188, 18458, 1128, 1227, 488, 125, 125, 1317, 488, 126, 124, 2921, 488, 125, 123, 125, 126, 121, 6982, 1189, 3904, 14271, 2714, 14097, 1839, 10990, 1175, 124, 120, 124, 1496, 1170, 13728, 2368, 3720, 1314, 3691, 1188, 23879, 19394, 1175, 125, 120, 124, 1576, 23688, 1561, 3564, 14789, 2714, 1170, 1539, 2993, 2391, 1125, 1158, 6128, 7185, 1175, 124, 126, 120, 123, 1496, 1207, 13728, 2915, 1508, 31742, 1473, 1188, 1158, 3011, 1227, 9672, 1197, 1350, 1839, 1265, 11281, 1300, 1207, 24882, 11281, 1175, 128, 120, 124, 1576, 1306, 2759, 172, 8827, 2069, 25460, 2391, 1125, 1816, 15142, 119, 1207, 2069, 2714, 1207, 1539, 1142, 5580, 1457, 106, 106, 155, 26361, 106, 106, 10853, 106, 106, 28870, 5825, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 1300, 1293, 8960, 106, 106, 153, 3400, 1186, 2829, 488, 125, 123, 123, 128, 106, 145, 2836, 173, 5738, 1632, 24657, 2100, 106, 149, 15167, 1632, 1125, 1282, 2235, 1252, 1868, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 7216, 26640, 1257, 488, 420, 406, 422, 16892, 418, 409, 402, 421, 407, 1496, 14232, 1170, 488, 124, 124, 2829, 488, 125, 123, 123, 128, 119, 1299, 1318, 4981, 173, 5738, 1632, 24657, 2100, 1357, 10809, 1317, 8536, 1125, 8007, 1125, 9108, 1188, 1282, 2235, 1252, 1868, 121, 106, 106, 141, 11741, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 19619, 1170, 7711, 2079, 19910, 1125, 488, 127, 8793, 6053, 1594, 2511, 3130, 1450, 1357, 1282, 1535, 18322, 1188, 27572, 1158, 10493, 4994, 106, 106, 20616, 4096, 1186, 5878, 106, 147, 2759, 172, 3985, 1204, 1182, 1157, 28160, 1167, 1299, 1830, 1303, 1317, 5878, 1125, 1282, 2235, 1252, 1868, 121, 106, 106, 151, 11636, 1197, 27712, 488, 125, 123, 125, 124, 106, 140, 6854, 1594, 5878, 119, 2399, 30957, 1188, 1281, 5916, 1374, 1256, 1158, 8093, 12244, 1125, 1158, 3453, 9891, 1125, 1158, 15696, 1197, 27712, 30284, 1125, 1158, 1165, 7761, 1357, 1110, 3601, 1186, 2605, 14378, 7017, 106, 141, 1354, 1309, 1313, 1170, 24223, 2399, 2551, 2214, 1186, 5047, 1188, 5631, 1197, 20825, 2391, 1125, 1816, 9891, 121, 106, 106, 151, 11636, 1197, 27712, 1165, 7761, 488, 125, 123, 125, 125, 1257, 2576, 2235, 1252, 1868, 1300, 1170, 15630, 1125, 6389, 9971, 106, 26692, 2399, 6739, 1382, 1125, 2658, 1125, 5047, 1158, 3453, 9891, 119, 2399, 24844, 1186, 3360, 3383, 1158, 6311, 1357, 1281, 10809, 1317, 13728, 7542, 1170, 2879, 1125, 2578, 488, 125, 123, 125, 125, 121, 106, 31160, 1485, 10031, 2750, 2782, 4766, 1910, 1188, 1158, 11609, 1227, 2854, 1197, 2864, 1125, 488, 124, 130, 2165, 1186, 11315, 1469, 1158, 5266, 119, 2399, 1299, 1158, 1408, 6018, 10809, 1632, 1125, 16371, 24750, 1125, 1282, 2235, 1252, 1868, 1188, 10848, 1188, 1158, 6707, 1764, 11859, 30284, 18885, 3906, 4735, 1306, 181, 196, 4520, 6058, 1408, 6018, 119, 1723, 23481, 1188, 1306, 2759, 172, 3985, 184, 1182, 13723, 2399, 2551, 2214, 1382, 1186, 5047, 2391, 1227, 25985, 1576, 106, 2606, 488, 125, 123, 2578, 488, 125, 123, 125, 125, 5551, 1594, 14510, 1282, 2235, 1252, 1868, 24254, 1215, 1878, 12402, 1158, 15142, 1256, 1158, 3453, 2768, 1125, 1594, 7635, 1571, 18352, 1227, 15438, 1227, 3694, 1204, 20693, 25682, 1173, 2506, 1782, 190, 2750, 2368, 1640, 10100, 1303, 488, 127, 25460, 1188, 488, 123, 121, 106, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 13300, 1188, 3203, 20825, 7542, 1170, 25985, 2487, 2069, 1186, 4083, 1309, 12456, 121, 106, 106, 20616, 4096, 10903, 106, 106, 24338, 1237, 1323, 124, 130, 2165, 106, 158, 1212, 1158, 1166, 1118, 15163, 1215, 14167, 30512, 1383, 1810, 1306, 2759, 172, 3985, 184, 1182, 1157, 1167, 1561, 5266, 8524, 22471, 1188, 1281, 5916, 1374, 1256, 1158, 11609, 1227, 2854, 1197, 2864, 1125, 488, 124, 130, 2165, 2750, 2782, 21548, 3356, 1170, 22242, 2982, 1170, 15308, 2648, 1170, 1293, 13747, 2036, 106, 13661, 184, 1182, 1157, 8017, 7630, 1207, 11400, 8687, 120, 1515, 10809, 3027, 11963, 1813, 1215, 23197, 1248, 1195, 1322, 1105, 1256, 20096, 1107, 1158, 8093, 12244, 1186, 11315, 7542, 1170, 2879, 1304, 15823, 488, 125, 123, 125, 125, 1188, 25994, 1125, 5685, 1170, 13728, 5016, 1317, 3151, 3543, 1186, 5503, 1199, 8483, 1125, 1594, 3274, 13644, 1227, 3261, 1234, 6152, 1125, 17289, 1208, 1167, 1197, 17941, 5068, 1248, 4122, 8247, 7352, 2399, 13300, 1188, 2069, 13656, 1125, 1158, 15142, 119, 2714, 1170, 23464, 1167, 17289, 28975, 106, 106, 24338, 1237, 1323, 125, 123, 2165, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 1299, 5266, 11980, 1215, 23197, 1248, 1195, 1322, 1105, 1256, 10848, 1317, 20704, 1593, 1125, 1282, 3600, 7761, 1197, 1323, 125, 123, 2165, 1186, 2829, 488, 125, 123, 125, 126, 121, 106, 159, 1854, 1593, 1309, 1170, 13728, 18900, 1186, 9005, 3904, 14271, 2714, 27542, 17276, 1175, 124, 120, 124, 116, 1167, 1186, 2191, 1199, 2069, 9672, 3691, 1188, 1158, 28701, 1167, 12547, 24909, 1175, 124, 120, 123, 1576, 1248, 4122, 8247, 2009, 2391, 1227, 3151, 3904, 2714, 27542, 17276, 1170, 488, 124, 128, 1557, 1285, 2399, 3338, 4229, 2069, 24266, 1805, 1120, 4111, 2391, 1227, 6311, 3904, 2714, 1158, 28701, 9321, 1146, 8648, 24657, 8012, 488, 126, 120, 123, 1576, 106, 106, 2439, 1276, 3994, 1248, 1195, 1322, 1105, 1844, 4689, 1188, 1909, 2882, 1256, 20096, 1107, 2069, 20825, 1675, 1146, 1541, 2714, 1170, 28017, 1188, 1545, 180, 1467, 25472, 1207, 488, 124, 130, 1167, 488, 125, 123, 2738, 488, 125, 123, 125, 126, 1313, 1170, 1663, 1125, 14344, 10796, 1256, 1207, 12234, 8480, 1188, 1158, 11609, 1227, 2854, 488, 125, 123, 125, 127, 121, 1808, 2069, 20825, 1281, 5503, 1129, 1300, 2069, 2968, 14261, 24657, 2915, 1175, 125, 120, 123, 2648, 488, 125, 120, 124, 1576, 3450, 13300, 1317, 2423, 3904, 1186, 4083, 1309, 12456, 121, 106, 106, 24338, 1237, 13980, 106, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 13300, 1317, 16277, 1227, 2854, 1125, 7711, 13980, 16142, 1188, 18458, 1128, 1227, 488, 125, 125, 1317, 488, 126, 124, 2921, 488, 125, 123, 125, 126, 121, 6982, 1189, 3904, 14271, 2714, 14097, 1839, 10990, 1175, 124, 120, 124, 1496, 1170, 13728, 2368, 3720, 1314, 3691, 1188, 23879, 19394, 1175, 125, 120, 124, 1576, 23688, 1561, 3564, 14789, 2714, 1170, 1539, 2993, 2391, 1125, 1158, 6128, 7185, 1175, 124, 126, 120, 123, 1496, 1207, 13728, 2915, 1508, 31742, 1473, 1188, 1158, 3011, 1227, 9672, 1197, 1350, 1839, 1265, 11281, 1300, 1207, 24882, 11281, 1175, 128, 120, 124, 1576, 1306, 2759, 172, 8827, 2069, 25460, 2391, 1125, 1816, 15142, 119, 1207, 2069, 2714, 1207, 1539, 1142, 5580, 1457, 106, 106, 155, 26361, 106, 106, 10853, 106, 106, 28870, 5825, 106, 147, 2759, 172, 3985, 184, 1182, 1157, 1300, 1293, 8960, 106, 106, 153, 3400, 1186, 2829, 488, 125, 123, 123, 128, 106, 145, 2836, 173, 5738, 1632, 24657, 2100, 106, 149, 15167, 1632, 1125, 1282, 2235, 1252, 1868, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 13159, 1315, 1161, 1200, 1519, 1943, 119, 1758, 5868, 2320, 1147, 1323, 130, 123, 124, 1233, 7440, 20884, 1427, 1135, 3675, 196, 14283, 26017, 7947, 1449, 1173, 2334, 14764, 1456, 4064, 1135, 16004, 5336, 1161, 11597, 29416, 106, 106, 1598, 3675, 196, 1164, 1220, 14380, 5569, 1152, 8584, 2662, 1171, 1135, 27550, 1701, 1161, 1200, 1519, 1943, 2025, 5137, 4815, 1183, 2395, 1329, 1125, 2284, 1427, 121, 106, 106, 5318, 19542, 1463, 2302, 20195, 1147, 1110, 2306, 120, 4740, 6625, 1302, 15053, 1589, 1135, 26480, 1161, 1173, 2334, 14764, 1456, 1361, 6385, 1431, 1147, 1266, 1314, 1196, 15032, 5375, 2306, 120, 4740, 1214, 4842, 1393, 2692, 1238, 5908, 1355, 1135, 9324, 11679, 1147, 5896, 3847, 106, 106, 147, 7569, 1926, 27281, 106, 106, 145, 31818, 1135, 6775, 1161, 1173, 1700, 1105, 19368, 1135, 1381, 1273, 1328, 1161, 1135, 16004, 5336, 190, 24514, 1156, 3545, 1765, 1169, 1442, 3360, 1172, 1427, 121, 7013, 1594, 1173, 2334, 14764, 1456, 23359, 2197, 3821, 3360, 1172, 1634, 133, 1704, 1147, 23763, 21825, 3340, 1105, 4741, 1135, 2017, 1147, 2708, 18883, 1146, 1575, 1171, 22224, 4994, 106, 106, 1428, 1323, 130, 123, 126, 119, 2470, 17809, 2267, 8580, 1259, 1519, 2687, 1132, 1217, 1119, 4988, 1147, 1518, 1943, 119, 1386, 7947, 1765, 26017, 9668, 22224, 4994, 106, 106, 3780, 2174, 182, 1575, 5879, 1135, 16004, 1161, 1135, 16983, 1161, 11597, 12472, 29760, 1163, 2894, 1111, 4005, 1163, 1135, 3675, 196, 14283, 26344, 1171, 23126, 1135, 2661, 1161, 1645, 11267, 1254, 9248, 20990, 2133, 2491, 7947, 1110, 27646, 4064, 3675, 196, 1164, 1810, 3813, 16854, 1810, 16456, 175, 1259, 119, 20562, 2944, 1171, 1254, 5336, 121, 106, 106, 1428, 2827, 9202, 2071, 1173, 2334, 14764, 1456, 3231, 1214, 5569, 5057, 1226, 19109, 15635, 1147, 1135, 16983, 1161, 11597, 12472, 3813, 1135, 5564, 12741, 25329, 15023, 13159, 1315, 1161, 12741, 25329, 116, 1171, 1200, 1519, 1943, 119, 1110, 21061, 5100, 1238, 1135, 5646, 1163, 1254, 9248, 20990, 106, 106, 1598, 13159, 1315, 1161, 1200, 1519, 1943, 106, 106, 160, 1614, 6663, 1149, 1355, 1135, 26749, 1135, 7239, 1201, 12803, 1135, 27550, 1701, 1110, 6841, 1163, 1300, 189, 1274, 1659, 2969, 12947, 3446, 184, 22469, 1410, 1321, 2394, 1220, 29760, 1171, 1135, 3675, 196, 14283, 26017, 8492, 1163, 12035, 1135, 5100, 121, 1410, 3675, 196, 1164, 6963, 9157, 21799, 7033, 15635, 1449, 27653, 7181, 2095, 13947, 1226, 6528, 1355, 1135, 2989, 1161, 1135, 8101, 1297, 6653, 1201, 8356, 1449, 3564, 1492, 2006, 190, 15314, 9668, 1135, 8101, 1285, 4265, 1149, 1135, 21382, 1201, 1238, 1135, 13885, 2640, 1297, 2192, 8304, 26720, 1315, 3112, 2252, 1163, 4237, 8602, 14865, 1163, 1135, 2306, 120, 4740, 6625, 1285, 2484, 3112, 2252, 2025, 3062, 1161, 1704, 1329, 2197, 1501, 1903, 1163, 6856, 1324, 1110, 10920, 1108, 1163, 4120, 7368, 1449, 4687, 2563, 1543, 1238, 3663, 4483, 1785, 4237, 13116, 1238, 1151, 27653, 1501, 2402, 4250, 2645, 28680, 1147, 488, 124, 132, 130, 123, 1449, 6480, 1405, 1722, 1943, 11322, 116, 3062, 1161, 14498, 1171, 14157, 1324, 17172, 1114, 2710, 1297, 1410, 7610, 1463, 8356, 1446, 2164, 12730, 1400, 7845, 1449, 27098, 10187, 3271, 8160, 3743, 1135, 2994, 6605, 4129, 27653, 1463, 15334, 1656, 1449, 3529, 1199, 1857, 27390, 1324, 1158, 3104, 1201, 10242, 1449, 4687, 1201, 1171, 3438, 1149, 2996, 106, 106, 11327, 2127, 1135, 5100, 106, 106, 1598, 3675, 196, 1164, 1220, 13085, 1163, 6575, 1135, 5100, 10059, 1296, 1463, 1789, 3886, 119, 4815, 1183, 2395, 1910, 1161, 1135, 5740, 1175, 1104, 6814, 2467, 1576, 1410, 2306, 120, 4740, 6625, 7081, 2467, 1946, 8781, 1238, 1290, 8373, 1171, 6864, 1238, 1789, 25372, 1104, 1280, 3514, 1149, 1226, 1789, 2350, 1457, 13303, 1171, 4851, 2025, 1125, 2284, 1427, 121, 106, 106, 2272, 12509, 1161, 1135, 8769, 106, 106, 1598, 2377, 1161, 1135, 3675, 196, 14283, 26017, 5868, 1293, 1495, 1171, 1192, 2174, 182, 29416, 1410, 1138, 1456, 1380, 1132, 5048, 9532, 1302, 1238, 1135, 1184, 1196, 1161, 1135, 3675, 196, 14283, 27653, 1238, 12741, 1153, 1366, 5862, 1135, 8214, 1140, 1161, 5614, 14859, 1957, 7239, 2996, 6767, 1259, 1190, 1153, 6470, 8599, 1302, 1135, 3675, 196, 1164, 1220, 2055, 5334, 1108, 17552, 1163, 1151, 6181, 9998, 17505, 106, 106, 4479, 10064, 5057, 17809, 1889, 1171, 14259, 7661, 1346, 3675, 196, 13112, 12617, 1641, 8808, 175, 1135, 9505, 1488, 1231, 1297, 1410, 5564, 1161, 11597, 2194, 1463, 1375, 1191, 3393, 1156, 1171, 1135, 16004, 5336, 1463, 1169, 6544, 2318, 1589, 2127, 1135, 14377, 21162, 6067, 1341, 27479, 1957, 20032, 196, 4945, 1135, 12128, 1161, 12741, 25329, 1147, 1323, 128, 131, 130, 27067, 1449, 1135, 21825, 3340, 1105, 2323, 12954, 6774, 1161, 4273, 1705, 1210, 1217, 1245, 5043, 1124, 21979, 106, 106, 141, 1141, 120, 4740, 1214, 4842, 106, 106, 20634, 106, 106, 21320, 1959, 106, 106, 5110, 196, 14283, 26017, 106, 106, 141, 4807, 11114, 106, 106, 158, 1214, 1315, 1161, 1645, 4290, 1406, 6832, 1147, 1645, 11267, 11029, 25987, 1161, 1135, 488, 131, 1276, 14851, 27067, 488, 130, 123, 124, 27067, 13159, 1315, 1161, 1135, 488, 131, 1276, 14851, 27067, 25987, 14388, 1147, 1135, 14247, 6818, 172, 3041, 32001, 488, 106, 32000, 20036, 106, 2606, 1173, 16318, 1125, 1200, 1569, 1943, 119, 1357, 1281, 8866, 4313, 1186, 1323, 130, 123, 124, 1305, 121, 6709, 3926, 3145, 8693, 172, 21090, 1693, 196, 1164, 2794, 4021, 1303, 1215, 1173, 2334, 1519, 1550, 173, 1317, 22669, 1125, 11597, 2036, 106, 106, 3562, 14789, 2985, 1693, 196, 1164, 2794, 1167, 1207, 11411, 1125, 1200, 1569, 1943, 4815, 1183, 7743, 1362, 1275, 1715, 4413, 106, 106, 142, 1567, 14789, 2985, 9427, 1303, 1313, 1189, 2306, 120, 4740, 6625, 1357, 1329, 185, 1370, 1207, 18979, 1227, 25986, 1125, 1173, 2334, 1519, 1550, 173, 1188, 1266, 1109, 20179, 4466, 2306, 120, 4740, 1214, 4842, 1508, 10125, 6581, 1234, 1317, 9324, 11679, 1188, 5896, 14279, 106, 106, 2272, 8934, 10777, 106, 106, 216, 1158, 3011, 1125, 1158, 4541, 1125, 1173, 1700, 1105, 19368, 1207, 25388, 1197, 1708, 6220, 6862, 24514, 1234, 2290, 1594, 27555, 1281, 5131, 14485, 4364, 6218, 8658, 1173, 2334, 1519, 1550, 173, 1844, 3691, 1188, 2069, 31099, 1883, 13212, 1842, 1257, 1318, 1186, 21825, 3340, 7138, 1227, 1335, 5242, 14974, 1186, 2708, 1538, 1146, 1214, 1167, 22224, 4994, 106, 106, 1686, 1323, 130, 123, 126, 2750, 2782, 2406, 244, 8580, 1259, 1519, 2687, 1132, 1217, 1119, 4988, 1188, 1518, 1943, 119, 1527, 10452, 1594, 31895, 2079, 1158, 22224, 4994, 106, 106, 224, 197, 7197, 180, 4277, 10973, 1227, 13602, 1125, 11597, 1810, 4716, 29172, 1125, 26780, 1594, 2693, 2479, 1188, 5891, 26875, 3675, 196, 18325, 3811, 7282, 13324, 1125, 12547, 24909, 1645, 17285, 1768, 5909, 3042, 1158, 6425, 2519, 27646, 2714, 1282, 5110, 196, 20048, 22020, 1199, 1257, 16854, 1810, 16456, 175, 1259, 119, 1198, 7490, 119, 2605, 5336, 106, 106, 143, 1467, 2391, 1173, 2334, 1519, 1550, 9032, 1186, 2888, 1234, 4586, 1346, 3811, 1296, 1349, 1603, 1107, 3171, 11742, 1226, 1533, 14093, 1227, 13602, 1125, 11597, 1810, 3747, 1158, 17128, 18526, 25329, 18329, 1173, 16318, 1125, 18526, 25329, 116, 1167, 1200, 1569, 1943, 3837, 25385, 1300, 1158, 5646, 1125, 12547, 14378, 7017, 106, 106, 2606, 9209, 1125, 1200, 1569, 1943, 106, 106, 2233, 2486, 1234, 5551, 1158, 1116, 4355, 1207, 1693, 4586, 1701, 2176, 7085, 1158, 6751, 3111, 1125, 1909, 11411, 2969, 27496, 19640, 1203, 178, 7190, 1808, 11597, 244, 1462, 9290, 7085, 119, 21090, 1693, 196, 1164, 2794, 24889, 21141, 1215, 2170, 1107, 1395, 1107, 1158, 25109, 1165, 1769, 2388, 1207, 3675, 196, 1164, 1462, 6096, 1408, 1186, 1395, 1554, 1188, 4110, 1207, 11742, 16724, 1511, 1309, 22704, 1987, 3672, 1197, 2879, 1186, 2306, 1197, 7144, 4586, 1457, 1808, 4687, 1201, 31217, 1215, 1197, 3358, 174, 24200, 1125, 7945, 28909, 2368, 1342, 1452, 7085, 2079, 1207, 1127, 4995, 1167, 1904, 7085, 1207, 9293, 1392, 1300, 2770, 1878, 2640, 1297, 2932, 1357, 14600, 1571, 3112, 1554, 1125, 27022, 1125, 2368, 1342, 1452, 1657, 4787, 6305, 1207, 2306, 120, 4740, 6625, 1285, 17844, 6096, 11931, 2335, 1362, 2069, 1138, 3567, 1201, 1300, 14086, 1234, 2519, 3543, 1125, 6141, 13858, 1215, 1197, 4687, 2563, 1170, 1667, 1300, 5999, 30952, 1305, 2196, 1199, 1300, 1318, 13885, 1326, 16724, 1511, 4250, 1416, 26319, 1186, 488, 124, 132, 130, 123, 1215, 6480, 1405, 1722, 1943, 11322, 116, 11858, 1125, 7877, 1167, 1685, 26319, 1125, 29885, 1328, 1125, 8791, 121, 2576, 1896, 1109, 3031, 30645, 1197, 2164, 30822, 1186, 26339, 1473, 1215, 1197, 1381, 1541, 1125, 1138, 3464, 2810, 1176, 19546, 1457, 3767, 2076, 3013, 1189, 3419, 1693, 1511, 3031, 7798, 1215, 5444, 18117, 4054, 29286, 1214, 12904, 7198, 1328, 7080, 13874, 1215, 5610, 4687, 1201, 1167, 1197, 1360, 3879, 16095, 106, 106, 6880, 7807, 1313, 1158, 3837, 106, 106, 4455, 1693, 196, 1164, 1462, 1508, 1215, 1549, 1153, 1188, 18069, 1313, 1158, 19110, 1856, 1313, 2770, 29577, 3342, 4815, 1183, 189, 7085, 1318, 3247, 1125, 1158, 5740, 15114, 3280, 1207, 6626, 1496, 1170, 2306, 120, 4740, 6625, 10825, 1197, 6626, 4254, 1132, 1234, 1300, 1197, 1113, 2636, 1167, 5610, 4771, 1121, 1199, 1188, 3998, 9314, 1158, 2492, 5323, 1196, 121, 1808, 5247, 1167, 1207, 4661, 1508, 9562, 1188, 5924, 1275, 1715, 4413, 106, 106, 3562, 14962, 1125, 1158, 9625, 106, 106, 2606, 4933, 1125, 21090, 1693, 196, 1164, 2794, 5909, 1293, 1495, 1167, 1192, 2174, 188, 29416, 1548, 19825, 8053, 1244, 21045, 12973, 1158, 15127, 1125, 18025, 1511, 1693, 196, 18325, 2714, 18526, 1153, 1366, 5862, 1282, 1678, 1125, 8056, 7457, 30893, 1197, 1693, 4586, 5996, 1306, 3149, 175, 2303, 14061, 1408, 7959, 1309, 1207, 3675, 196, 1164, 1462, 20619, 1913, 15670, 2519, 3391, 1176, 2035, 4654, 106, 106, 152, 1132, 4818, 3171, 2968, 14261, 1167, 1125, 12088, 3436, 1466, 19190, 1282, 5110, 196, 2348, 1110, 1227, 7702, 2406, 244, 1207, 1338, 20043, 1231, 1297, 1643, 17128, 1125, 1158, 11597, 1303, 6739, 1382, 1913, 1191, 1134, 1439, 1167, 1170, 22669, 1299, 1338, 15934, 1568, 1313, 5613, 2402, 21162, 1768, 11358, 11103, 1318, 9470, 26668, 7328, 1158, 12128, 1125, 18526, 25329, 1186, 1323, 128, 131, 130, 1305, 121, 6709, 3926, 121, 1215, 1207, 21863, 21825, 3340, 1105, 11709, 1125, 1266, 1219, 2547, 1259, 1105, 1180, 1121, 21979, 106, 106, 141, 1141, 120, 4740, 1214, 4842, 106, 106, 20634, 106, 106, 8036, 2072, 106, 106, 151, 1354, 14809, 106, 106, 2233, 16208, 1693, 196, 1164, 2794, 106, 106, 141, 13449, 106, 106, 158, 16318, 1125, 23879, 4290, 1348, 106, 146, 2904, 1112, 1313, 1282, 31620, 1151, 1960, 106, 141, 1514, 1415, 1227, 1352, 31549, 6298, 1305, 121, 6709, 3926, 121, 106, 130, 123, 124, 1305, 121, 6709, 3926, 121, 106, 158, 16318, 1227, 1352, 31549, 6298, 1305, 121, 6709, 3926, 121, 106, 141, 1514, 1415, 5499, 1303, 1313, 23879, 17742, 6818, 4080, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 1173, 16318, 1125, 1200, 1569, 1943, 119, 1357, 1281, 8866, 4313, 1186, 1323, 130, 123, 124, 1305, 121, 6709, 3926, 3145, 8693, 172, 21090, 1693, 196, 1164, 2794, 4021, 1303, 1215, 1173, 2334, 1519, 1550, 173, 1317, 22669, 1125, 11597, 2036, 106, 106, 3562, 14789, 2985, 1693, 196, 1164, 2794, 1167, 1207, 11411, 1125, 1200, 1569, 1943, 4815, 1183, 7743, 1362, 1275, 1715, 4413, 106, 106, 142, 1567, 14789, 2985, 9427, 1303, 1313, 1189, 2306, 120, 4740, 6625, 1357, 1329, 185, 1370, 1207, 18979, 1227, 25986, 1125, 1173, 2334, 1519, 1550, 173, 1188, 1266, 1109, 20179, 4466, 2306, 120, 4740, 1214, 4842, 1508, 10125, 6581, 1234, 1317, 9324, 11679, 1188, 5896, 14279, 106, 106, 2272, 8934, 10777, 106, 106, 216, 1158, 3011, 1125, 1158, 4541, 1125, 1173, 1700, 1105, 19368, 1207, 25388, 1197, 1708, 6220, 6862, 24514, 1234, 2290, 1594, 27555, 1281, 5131, 14485, 4364, 6218, 8658, 1173, 2334, 1519, 1550, 173, 1844, 3691, 1188, 2069, 31099, 1883, 13212, 1842, 1257, 1318, 1186, 21825, 3340, 7138, 1227, 1335, 5242, 14974, 1186, 2708, 1538, 1146, 1214, 1167, 22224, 4994, 106, 106, 1686, 1323, 130, 123, 126, 2750, 2782, 2406, 244, 8580, 1259, 1519, 2687, 1132, 1217, 1119, 4988, 1188, 1518, 1943, 119, 1527, 10452, 1594, 31895, 2079, 1158, 22224, 4994, 106, 106, 224, 197, 7197, 180, 4277, 10973, 1227, 13602, 1125, 11597, 1810, 4716, 29172, 1125, 26780, 1594, 2693, 2479, 1188, 5891, 26875, 3675, 196, 18325, 3811, 7282, 13324, 1125, 12547, 24909, 1645, 17285, 1768, 5909, 3042, 1158, 6425, 2519, 27646, 2714, 1282, 5110, 196, 20048, 22020, 1199, 1257, 16854, 1810, 16456, 175, 1259, 119, 1198, 7490, 119, 2605, 5336, 106, 106, 143, 1467, 2391, 1173, 2334, 1519, 1550, 9032, 1186, 2888, 1234, 4586, 1346, 3811, 1296, 1349, 1603, 1107, 3171, 11742, 1226, 1533, 14093, 1227, 13602, 1125, 11597, 1810, 3747, 1158, 17128, 18526, 25329, 18329, 1173, 16318, 1125, 18526, 25329, 116, 1167, 1200, 1569, 1943, 3837, 25385, 1300, 1158, 5646, 1125, 12547, 14378, 7017, 106, 106, 2606, 9209, 1125, 1200, 1569, 1943, 106, 106, 2233, 2486, 1234, 5551, 1158, 1116, 4355, 1207, 1693, 4586, 1701, 2176, 7085, 1158, 6751, 3111, 1125, 1909, 11411, 2969, 27496, 19640, 1203, 178, 7190, 1808, 11597, 244, 1462, 9290, 7085, 119, 21090, 1693, 196, 1164, 2794, 24889, 21141, 1215, 2170, 1107, 1395, 1107, 1158, 25109, 1165, 1769, 2388, 1207, 3675, 196, 1164, 1462, 6096, 1408, 1186, 1395, 1554, 1188, 4110, 1207, 11742, 16724, 1511, 1309, 22704, 1987, 3672, 1197, 2879, 1186, 2306, 1197, 7144, 4586, 1457, 1808, 4687, 1201, 31217, 1215, 1197, 3358, 174, 24200, 1125, 7945, 28909, 2368, 1342, 1452, 7085, 2079, 1207, 1127, 4995, 1167, 1904, 7085, 1207, 9293, 1392, 1300, 2770, 1878, 2640, 1297, 2932, 1357, 14600, 1571, 3112, 1554, 1125, 27022, 1125, 2368, 1342, 1452, 1657, 4787, 6305, 1207, 2306, 120, 4740, 6625, 1285, 17844, 6096, 11931, 2335, 1362, 2069, 1138, 3567, 1201, 1300, 14086, 1234, 2519, 3543, 1125, 6141, 13858, 1215, 1197, 4687, 2563, 1170, 1667, 1300, 5999, 30952, 1305, 2196, 1199, 1300, 1318, 13885, 1326, 16724, 1511, 4250, 1416, 26319, 1186, 488, 124, 132, 130, 123, 1215, 6480, 1405, 1722, 1943, 11322, 116, 11858, 1125, 7877, 1167, 1685, 26319, 1125, 29885, 1328, 1125, 8791, 121, 2576, 1896, 1109, 3031, 30645, 1197, 2164, 30822, 1186, 26339, 1473, 1215, 1197, 1381, 1541, 1125, 1138, 3464, 2810, 1176, 19546, 1457, 3767, 2076, 3013, 1189, 3419, 1693, 1511, 3031, 7798, 1215, 5444, 18117, 4054, 29286, 1214, 12904, 7198, 1328, 7080, 13874, 1215, 5610, 4687, 1201, 1167, 1197, 1360, 3879, 16095, 106, 106, 6880, 7807, 1313, 1158, 3837, 106, 106, 4455, 1693, 196, 1164, 1462, 1508, 1215, 1549, 1153, 1188, 18069, 1313, 1158, 19110, 1856, 1313, 2770, 29577, 3342, 4815, 1183, 189, 7085, 1318, 3247, 1125, 1158, 5740, 15114, 3280, 1207, 6626, 1496, 1170, 2306, 120, 4740, 6625, 10825, 1197, 6626, 4254, 1132, 1234, 1300, 1197, 1113, 2636, 1167, 5610, 4771, 1121, 1199, 1188, 3998, 9314, 1158, 2492, 5323, 1196, 121, 1808, 5247, 1167, 1207, 4661, 1508, 9562, 1188, 5924, 1275, 1715, 4413, 106, 106, 3562, 14962, 1125, 1158, 9625, 106, 106, 2606, 4933, 1125, 21090, 1693, 196, 1164, 2794, 5909, 1293, 1495, 1167, 1192, 2174, 188, 29416, 1548, 19825, 8053, 1244, 21045, 12973, 1158, 15127, 1125, 18025, 1511, 1693, 196, 18325, 2714, 18526, 1153, 1366, 5862, 1282, 1678, 1125, 8056, 7457, 30893, 1197, 1693, 4586, 5996, 1306, 3149, 175, 2303, 14061, 1408, 7959, 1309, 1207, 3675, 196, 1164, 1462, 20619, 1913, 15670, 2519, 3391, 1176, 2035, 4654, 106, 106, 152, 1132, 4818, 3171, 2968, 14261, 1167, 1125, 12088, 3436, 1466, 19190, 1282, 5110, 196, 2348, 1110, 1227, 7702, 2406, 244, 1207, 1338, 20043, 1231, 1297, 1643, 17128, 1125, 1158, 11597, 1303, 6739, 1382, 1913, 1191, 1134, 1439, 1167, 1170, 22669, 1299, 1338, 15934, 1568, 1313, 5613, 2402, 21162, 1768, 11358, 11103, 1318, 9470, 26668, 7328, 1158, 12128, 1125, 18526, 25329, 1186, 1323, 128, 131, 130, 1305, 121, 6709, 3926, 121, 1215, 1207, 21863, 21825, 3340, 1105, 11709, 1125, 1266, 1219, 2547, 1259, 1105, 1180, 1121, 21979, 106, 106, 141, 1141, 120, 4740, 1214, 4842, 106, 106, 20634, 106, 106, 8036, 2072, 106, 106, 151, 1354, 14809, 106, 106, 2233, 16208, 1693, 196, 1164, 2794, 106, 106, 141, 13449, 106, 106, 158, 16318, 1125, 23879, 4290, 1348, 106, 146, 2904, 1112, 1313, 1282, 31620, 1151, 1960, 106, 141, 1514, 1415, 1227, 1352, 31549, 6298, 1305, 121, 6709, 3926, 121, 106, 130, 123, 124, 1305, 121, 6709, 3926, 121, 106, 158, 16318, 1227, 1352, 31549, 6298, 1305, 121, 6709, 3926, 121, 106, 141, 1514, 1415, 5499, 1303, 1313, 23879, 17742, 6818, 4080, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 120, 25218, 1200, 4431, 106, 120, 488, 124, 132, 131, 123, 106, 120, 8275, 1145, 1780, 1162, 106, 120, 15317, 106, 120, 8275, 1145, 1780, 1162, 106, 120, 1139, 1558, 1196, 106, 120, 488, 124, 132, 131, 123, 106, 120, 16955, 32001, 488, 106, 32000, 20036, 106, 120, 25218, 1200, 4431, 106, 120, 488, 124, 132, 131, 123, 106, 120, 8275, 25710, 106, 120, 24644, 106, 120, 8275, 25710, 106, 120, 1139, 5363, 177, 106, 120, 488, 124, 132, 131, 123, 106, 120, 14635, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 120, 25218, 1200, 4431, 106, 120, 488, 124, 132, 131, 123, 106, 120, 8275, 25710, 106, 120, 24644, 106, 120, 8275, 25710, 106, 120, 1139, 5363, 177, 106, 120, 488, 124, 132, 131, 123, 106, 120, 14635, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 2521, 162, 140, 4289, 1372, 7480, 184, 2553, 1156, 24938, 9756, 116, 1239, 1151, 11492, 1266, 14420, 121, 1988, 1463, 20883, 1147, 488, 124, 132, 130, 125, 1449, 9595, 3985, 172, 26608, 2251, 121, 1988, 1239, 3228, 1134, 14636, 1156, 1147, 15643, 9433, 1219, 14102, 3276, 27575, 6093, 1410, 11183, 12003, 5718, 1147, 11444, 1449, 9835, 2182, 1324, 12146, 1163, 2447, 2075, 9962, 1171, 5180, 3954, 2059, 3205, 8383, 1147, 3264, 1163, 9723, 4243, 3658, 3041, 1410, 5555, 1393, 14810, 1238, 3337, 2274, 8333, 133, 9835, 2882, 1226, 30840, 3101, 1163, 1135, 29841, 1171, 20221, 1226, 6939, 6031, 3041, 2192, 5633, 5883, 1870, 23987, 14099, 1163, 2142, 1806, 3810, 15468, 12499, 2957, 1297, 1410, 11183, 25647, 5718, 2000, 1393, 15468, 7691, 1156, 1329, 7142, 3810, 13474, 1171, 1393, 19404, 1163, 9237, 1230, 2127, 1135, 22255, 10783, 1161, 13035, 1758, 2098, 4641, 2182, 3101, 1163, 3056, 6515, 121, 9244, 488, 132, 127, 112, 1161, 15389, 9275, 1147, 11444, 1239, 1147, 1135, 1950, 1132, 10783, 121, 1410, 11183, 2055, 488, 124, 121, 130, 4750, 5641, 1147, 488, 125, 123, 124, 125, 121, 106, 106, 2521, 162, 140, 6971, 1135, 21765, 1985, 21504, 1140, 30558, 1147, 488, 124, 132, 131, 127, 121, 106, 106, 11951, 1161, 5641, 488, 106, 1428, 1477, 5653, 1135, 11183, 1458, 7428, 1161, 1110, 3810, 2957, 1161, 2763, 12529, 5718, 121, 5535, 488, 125, 123, 124, 123, 119, 1341, 2055, 1792, 2095, 1110, 4750, 5718, 1147, 488, 124, 127, 8533, 21544, 5232, 30487, 1171, 488, 124, 121, 130, 4750, 1147, 488, 125, 123, 124, 125, 121, 4711, 8641, 2060, 488, 132, 123, 112, 1161, 5641, 2025, 8452, 1147, 3276, 27575, 3683, 1324, 488, 128, 127, 121, 129, 112, 7954, 1147, 15498, 1393, 4277, 26726, 19089, 1135, 13539, 2025, 15317, 5404, 1163, 1135, 11183, 1361, 3425, 1297, 1410, 11183, 25647, 488, 127, 2274, 8520, 1161, 7723, 1430, 133, 106, 1323, 9648, 1201, 1171, 19742, 16477, 1201, 134, 106, 1323, 3489, 2401, 1201, 5007, 3604, 2563, 1281, 1174, 2835, 1224, 1346, 2062, 190, 3628, 106, 1323, 20753, 9275, 1201, 1171, 2424, 22553, 133, 30401, 1870, 2563, 4971, 1870, 2563, 11727, 9275, 2563, 5797, 11070, 2563, 2515, 2563, 11792, 16937, 1158, 2506, 1942, 1346, 4892, 106, 1323, 1410, 2481, 16169, 10783, 1147, 488, 125, 123, 123, 129, 1463, 1302, 1161, 20753, 9275, 1171, 16141, 106, 106, 25890, 2695, 488, 106, 1598, 11183, 12003, 1163, 1830, 15468, 1712, 5757, 8520, 1163, 13735, 1171, 12444, 5918, 8279, 2488, 6788, 6166, 1449, 1781, 7772, 1500, 8849, 1446, 1135, 14668, 1226, 9165, 8717, 4676, 1411, 7459, 1171, 1449, 8801, 15202, 1147, 8333, 2536, 1296, 28902, 9165, 12445, 13379, 1285, 1171, 8822, 3872, 7516, 31329, 106, 106, 145, 1136, 1732, 19663, 5378, 2630, 2563, 10242, 1449, 15468, 12499, 2957, 1285, 4343, 5641, 1147, 15498, 20022, 2676, 17873, 1281, 13152, 2488, 1789, 27527, 19137, 1296, 2632, 1296, 4493, 12864, 14554, 1171, 3619, 20733, 5182, 1161, 2019, 10219, 27527, 3825, 1239, 6697, 162, 140, 9660, 119, 1758, 2055, 488, 126, 123, 123, 119, 123, 123, 123, 3275, 18181, 1147, 488, 125, 123, 123, 131, 119, 3983, 1149, 1631, 124, 129, 121, 129, 4750, 1147, 29464, 1297, 106, 106, 1598, 11183, 1602, 2023, 13480, 3953, 12363, 3976, 488, 124, 132, 132, 125, 119, 2629, 1449, 3575, 488, 126, 128, 119, 123, 123, 123, 16817, 23907, 5653, 1413, 12363, 1463, 29916, 1226, 1543, 25752, 1201, 1446, 6697, 162, 5128, 1663, 6470, 7905, 3856, 2726, 1324, 488, 131, 123, 112, 1161, 5641, 25690, 1375, 1163, 20281, 121, 106, 106, 158, 3249, 1171, 22874, 106, 106, 21320, 1959, 488, 106, 19751, 1248, 7623, 12764, 106, 106, 26722, 14520, 106, 1323, 29704, 20883, 1147, 488, 124, 132, 130, 125, 106, 1323, 9756, 1329, 9921, 7633, 1163, 29762, 3590, 1147, 11444, 106, 1323, 9660, 3228, 1134, 14636, 1156, 1147, 11444, 106, 1323, 24938, 7377, 1147, 11444, 106, 1323, 29907, 1985, 1131, 10236, 1162, 106, 1323, 11492, 2081, 4613, 7350, 29520, 9921, 106, 1323, 29704, 20883, 1147, 488, 124, 132, 130, 125, 106, 1323, 8006, 1147, 4993, 2036, 32001, 488, 106, 32000, 20036, 106, 2521, 162, 140, 7216, 9400, 1257, 26558, 7480, 184, 2553, 1156, 24938, 9756, 116, 1362, 9756, 1197, 9900, 3027, 16421, 1104, 1299, 1318, 9527, 146, 4655, 2794, 121, 3450, 1110, 1913, 16233, 1186, 488, 124, 132, 130, 125, 1215, 1170, 28067, 3985, 172, 26608, 2251, 121, 6218, 9209, 1299, 1188, 15643, 9433, 1219, 14102, 1313, 17902, 1227, 3276, 27575, 6093, 4060, 11183, 8137, 1207, 5247, 1186, 11315, 1186, 1964, 26321, 1197, 9098, 1256, 2368, 4299, 1120, 1659, 1167, 8753, 6201, 2059, 3205, 1120, 2972, 1313, 1189, 9757, 1125, 7331, 120, 6316, 121, 1808, 5555, 1508, 30634, 1473, 1188, 4759, 3203, 25423, 1257, 6019, 1125, 2882, 1964, 6058, 6339, 3392, 8139, 1317, 5387, 1167, 10251, 1256, 12799, 1902, 1125, 9886, 3041, 2932, 2498, 1125, 5633, 5883, 4212, 1215, 13324, 1188, 1158, 3591, 1186, 2320, 1125, 6976, 6969, 21232, 3589, 1322, 4449, 121, 1548, 1721, 13738, 2368, 22473, 19732, 1299, 3977, 1197, 5247, 1279, 1107, 13503, 1318, 8263, 29341, 1362, 14055, 1199, 1318, 5715, 30807, 1167, 1357, 1288, 1215, 193, 7059, 1382, 1188, 2368, 15934, 5824, 1186, 4083, 1309, 3845, 1473, 1170, 6485, 16142, 1227, 8915, 1440, 1357, 1964, 5518, 1370, 8139, 1188, 1318, 11094, 2129, 5907, 6487, 1125, 488, 132, 127, 2199, 1125, 1158, 2274, 19666, 13221, 30284, 1186, 11315, 17279, 1227, 6485, 1950, 7112, 2576, 9326, 2803, 488, 124, 119, 130, 4750, 10206, 9446, 3515, 1186, 488, 125, 123, 124, 125, 121, 106, 106, 6880, 9326, 6697, 162, 140, 1299, 29225, 22733, 1369, 1227, 3248, 21504, 1140, 6228, 3193, 1175, 124, 132, 131, 127, 1576, 106, 106, 7062, 4058, 1197, 19586, 3515, 488, 106, 216, 1909, 4319, 1285, 19732, 22020, 1370, 1189, 4170, 27986, 1334, 1125, 5247, 2205, 13003, 14279, 1653, 488, 125, 123, 124, 123, 119, 2399, 18402, 1408, 2335, 4750, 1125, 5247, 7556, 3088, 1300, 488, 124, 127, 8533, 21544, 1300, 9933, 1125, 17289, 10645, 1167, 488, 124, 119, 130, 4750, 1186, 488, 125, 123, 124, 125, 121, 4060, 5910, 26819, 1408, 1125, 488, 132, 123, 2199, 1197, 19586, 3515, 1508, 2032, 1790, 1473, 1313, 17902, 1227, 3276, 27575, 3683, 1167, 488, 128, 127, 119, 129, 2199, 13432, 5138, 23236, 1313, 1170, 2854, 18501, 2726, 3042, 12973, 1282, 5668, 3603, 1158, 5740, 24644, 3031, 3821, 22051, 1186, 5169, 1125, 21839, 1125, 18025, 1642, 2392, 2576, 9326, 28606, 488, 127, 13086, 1125, 14792, 2308, 4169, 22847, 2399, 2368, 22473, 1257, 106, 14175, 3027, 1167, 1600, 12301, 3027, 2040, 106, 9900, 3027, 1188, 10081, 5007, 5283, 12343, 11888, 1136, 20671, 6562, 1109, 3123, 116, 2040, 106, 2274, 19666, 13221, 1618, 3858, 1167, 17705, 1125, 2882, 1257, 4783, 17192, 6530, 21407, 4783, 17192, 1227, 7361, 2121, 9900, 3027, 1188, 1158, 29808, 8760, 26562, 1125, 2131, 1112, 8185, 1188, 2167, 4277, 4665, 177, 1558, 4951, 11792, 11212, 30124, 2202, 3027, 1553, 1125, 1158, 6425, 1323, 3812, 4995, 1207, 16068, 11792, 2635, 1167, 1207, 16068, 1125, 30124, 1470, 4054, 121, 1653, 1408, 1125, 2008, 3203, 22457, 3939, 1527, 1299, 1253, 8262, 1419, 2519, 3419, 6964, 1125, 9900, 3027, 2040, 106, 5736, 1125, 4052, 1167, 1125, 2882, 19281, 1199, 1197, 24145, 10421, 2234, 1186, 5564, 1167, 2274, 19666, 13221, 1256, 3937, 1823, 2467, 1234, 1188, 14876, 7706, 1980, 1193, 10363, 119, 7513, 3301, 2498, 1227, 1114, 3561, 17931, 1148, 1125, 1158, 1185, 4889, 1553, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 6485, 1170, 1408, 31481, 3031, 3977, 1125, 1158, 2274, 19666, 13221, 1167, 17705, 1125, 16141, 106, 106, 3742, 8494, 488, 106, 6880, 5300, 1188, 1158, 15229, 1125, 6969, 28264, 178, 11244, 1186, 5588, 1304, 7197, 3711, 1300, 1167, 1125, 20772, 1197, 3917, 11490, 8742, 1281, 1844, 1215, 1170, 16007, 1125, 12777, 26894, 1473, 1215, 1197, 9362, 3051, 4040, 1120, 1313, 1207, 22161, 1256, 1282, 17485, 1219, 244, 27116, 21685, 1606, 4491, 1378, 1524, 1995, 2924, 3693, 1167, 1215, 1197, 10773, 15561, 1313, 1207, 13809, 1125, 1158, 4351, 119, 1227, 7108, 1125, 2989, 1175, 1301, 5815, 1317, 5759, 1160, 1496, 1167, 1197, 15219, 1125, 18398, 8822, 121, 106, 106, 25280, 5014, 8229, 1197, 11669, 1125, 4331, 18332, 11102, 31613, 1300, 1207, 6969, 21232, 3589, 1322, 31136, 19872, 1313, 1207, 20022, 18501, 1541, 1188, 1909, 4634, 1197, 3405, 2027, 1188, 3248, 15187, 1215, 1170, 16007, 1125, 1909, 26728, 20688, 1167, 7562, 1811, 1197, 7336, 6048, 1167, 1197, 3412, 1300, 1170, 5387, 121, 2576, 1515, 1125, 1909, 26728, 20688, 1158, 1408, 1872, 7352, 1299, 1158, 17257, 6697, 162, 5128, 1357, 1186, 488, 125, 123, 123, 131, 7576, 3622, 3144, 488, 126, 123, 123, 488, 123, 123, 123, 9011, 10193, 1285, 1256, 1189, 3983, 1125, 3257, 12375, 1125, 488, 124, 129, 119, 129, 5743, 1125, 16002, 1297, 106, 106, 6880, 9326, 5265, 2757, 488, 124, 132, 132, 125, 1197, 29447, 16622, 9786, 1215, 3997, 488, 126, 128, 488, 123, 123, 123, 30926, 23907, 17785, 1816, 14556, 3031, 10117, 1256, 2962, 1207, 1895, 1327, 12341, 3027, 5693, 1125, 1158, 6697, 162, 5128, 2648, 1110, 1913, 5931, 1277, 14735, 18153, 1188, 1158, 3011, 1125, 5856, 488, 131, 123, 2199, 1197, 19586, 3515, 2004, 2674, 9031, 1188, 12908, 1657, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12764, 15498, 14610, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 15297, 16512, 1186, 488, 124, 132, 130, 125, 106, 15297, 1362, 20636, 15923, 1317, 9943, 2923, 1186, 11315, 106, 141, 28615, 4716, 1594, 9209, 1186, 11315, 106, 25843, 30284, 1186, 11315, 106, 145, 12900, 26728, 1761, 106, 27002, 2081, 5987, 1366, 4655, 2794, 106, 15481, 2923, 15974, 1186, 488, 124, 132, 130, 125, 106, 158, 1869, 3359, 1128, 1186, 11315, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2521, 162, 140, 7216, 9400, 1257, 26558, 7480, 184, 2553, 1156, 24938, 9756, 116, 1362, 9756, 1197, 9900, 3027, 16421, 1104, 1299, 1318, 9527, 146, 4655, 2794, 121, 3450, 1110, 1913, 16233, 1186, 488, 124, 132, 130, 125, 1215, 1170, 28067, 3985, 172, 26608, 2251, 121, 6218, 9209, 1299, 1188, 15643, 9433, 1219, 14102, 1313, 17902, 1227, 3276, 27575, 6093, 4060, 11183, 8137, 1207, 5247, 1186, 11315, 1186, 1964, 26321, 1197, 9098, 1256, 2368, 4299, 1120, 1659, 1167, 8753, 6201, 2059, 3205, 1120, 2972, 1313, 1189, 9757, 1125, 7331, 120, 6316, 121, 1808, 5555, 1508, 30634, 1473, 1188, 4759, 3203, 25423, 1257, 6019, 1125, 2882, 1964, 6058, 6339, 3392, 8139, 1317, 5387, 1167, 10251, 1256, 12799, 1902, 1125, 9886, 3041, 2932, 2498, 1125, 5633, 5883, 4212, 1215, 13324, 1188, 1158, 3591, 1186, 2320, 1125, 6976, 6969, 21232, 3589, 1322, 4449, 121, 1548, 1721, 13738, 2368, 22473, 19732, 1299, 3977, 1197, 5247, 1279, 1107, 13503, 1318, 8263, 29341, 1362, 14055, 1199, 1318, 5715, 30807, 1167, 1357, 1288, 1215, 193, 7059, 1382, 1188, 2368, 15934, 5824, 1186, 4083, 1309, 3845, 1473, 1170, 6485, 16142, 1227, 8915, 1440, 1357, 1964, 5518, 1370, 8139, 1188, 1318, 11094, 2129, 5907, 6487, 1125, 488, 132, 127, 2199, 1125, 1158, 2274, 19666, 13221, 30284, 1186, 11315, 17279, 1227, 6485, 1950, 7112, 2576, 9326, 2803, 488, 124, 119, 130, 4750, 10206, 9446, 3515, 1186, 488, 125, 123, 124, 125, 121, 106, 106, 6880, 9326, 6697, 162, 140, 1299, 29225, 22733, 1369, 1227, 3248, 21504, 1140, 6228, 3193, 1175, 124, 132, 131, 127, 1576, 106, 106, 7062, 4058, 1197, 19586, 3515, 488, 106, 216, 1909, 4319, 1285, 19732, 22020, 1370, 1189, 4170, 27986, 1334, 1125, 5247, 2205, 13003, 14279, 1653, 488, 125, 123, 124, 123, 119, 2399, 18402, 1408, 2335, 4750, 1125, 5247, 7556, 3088, 1300, 488, 124, 127, 8533, 21544, 1300, 9933, 1125, 17289, 10645, 1167, 488, 124, 119, 130, 4750, 1186, 488, 125, 123, 124, 125, 121, 4060, 5910, 26819, 1408, 1125, 488, 132, 123, 2199, 1197, 19586, 3515, 1508, 2032, 1790, 1473, 1313, 17902, 1227, 3276, 27575, 3683, 1167, 488, 128, 127, 119, 129, 2199, 13432, 5138, 23236, 1313, 1170, 2854, 18501, 2726, 3042, 12973, 1282, 5668, 3603, 1158, 5740, 24644, 3031, 3821, 22051, 1186, 5169, 1125, 21839, 1125, 18025, 1642, 2392, 2576, 9326, 28606, 488, 127, 13086, 1125, 14792, 2308, 4169, 22847, 2399, 2368, 22473, 1257, 106, 14175, 3027, 1167, 1600, 12301, 3027, 2040, 106, 9900, 3027, 1188, 10081, 5007, 5283, 12343, 11888, 1136, 20671, 6562, 1109, 3123, 116, 2040, 106, 2274, 19666, 13221, 1618, 3858, 1167, 17705, 1125, 2882, 1257, 4783, 17192, 6530, 21407, 4783, 17192, 1227, 7361, 2121, 9900, 3027, 1188, 1158, 29808, 8760, 26562, 1125, 2131, 1112, 8185, 1188, 2167, 4277, 4665, 177, 1558, 4951, 11792, 11212, 30124, 2202, 3027, 1553, 1125, 1158, 6425, 1323, 3812, 4995, 1207, 16068, 11792, 2635, 1167, 1207, 16068, 1125, 30124, 1470, 4054, 121, 1653, 1408, 1125, 2008, 3203, 22457, 3939, 1527, 1299, 1253, 8262, 1419, 2519, 3419, 6964, 1125, 9900, 3027, 2040, 106, 5736, 1125, 4052, 1167, 1125, 2882, 19281, 1199, 1197, 24145, 10421, 2234, 1186, 5564, 1167, 2274, 19666, 13221, 1256, 3937, 1823, 2467, 1234, 1188, 14876, 7706, 1980, 1193, 10363, 119, 7513, 3301, 2498, 1227, 1114, 3561, 17931, 1148, 1125, 1158, 1185, 4889, 1553, 106, 1686, 488, 125, 123, 123, 129, 119, 1170, 6485, 1170, 1408, 31481, 3031, 3977, 1125, 1158, 2274, 19666, 13221, 1167, 17705, 1125, 16141, 106, 106, 3742, 8494, 488, 106, 6880, 5300, 1188, 1158, 15229, 1125, 6969, 28264, 178, 11244, 1186, 5588, 1304, 7197, 3711, 1300, 1167, 1125, 20772, 1197, 3917, 11490, 8742, 1281, 1844, 1215, 1170, 16007, 1125, 12777, 26894, 1473, 1215, 1197, 9362, 3051, 4040, 1120, 1313, 1207, 22161, 1256, 1282, 17485, 1219, 244, 27116, 21685, 1606, 4491, 1378, 1524, 1995, 2924, 3693, 1167, 1215, 1197, 10773, 15561, 1313, 1207, 13809, 1125, 1158, 4351, 119, 1227, 7108, 1125, 2989, 1175, 1301, 5815, 1317, 5759, 1160, 1496, 1167, 1197, 15219, 1125, 18398, 8822, 121, 106, 106, 25280, 5014, 8229, 1197, 11669, 1125, 4331, 18332, 11102, 31613, 1300, 1207, 6969, 21232, 3589, 1322, 31136, 19872, 1313, 1207, 20022, 18501, 1541, 1188, 1909, 4634, 1197, 3405, 2027, 1188, 3248, 15187, 1215, 1170, 16007, 1125, 1909, 26728, 20688, 1167, 7562, 1811, 1197, 7336, 6048, 1167, 1197, 3412, 1300, 1170, 5387, 121, 2576, 1515, 1125, 1909, 26728, 20688, 1158, 1408, 1872, 7352, 1299, 1158, 17257, 6697, 162, 5128, 1357, 1186, 488, 125, 123, 123, 131, 7576, 3622, 3144, 488, 126, 123, 123, 488, 123, 123, 123, 9011, 10193, 1285, 1256, 1189, 3983, 1125, 3257, 12375, 1125, 488, 124, 129, 119, 129, 5743, 1125, 16002, 1297, 106, 106, 6880, 9326, 5265, 2757, 488, 124, 132, 132, 125, 1197, 29447, 16622, 9786, 1215, 3997, 488, 126, 128, 488, 123, 123, 123, 30926, 23907, 17785, 1816, 14556, 3031, 10117, 1256, 2962, 1207, 1895, 1327, 12341, 3027, 5693, 1125, 1158, 6697, 162, 5128, 2648, 1110, 1913, 5931, 1277, 14735, 18153, 1188, 1158, 3011, 1125, 5856, 488, 131, 123, 2199, 1197, 19586, 3515, 2004, 2674, 9031, 1188, 12908, 1657, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12764, 15498, 14610, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 15297, 16512, 1186, 488, 124, 132, 130, 125, 106, 15297, 1362, 20636, 15923, 1317, 9943, 2923, 1186, 11315, 106, 141, 28615, 4716, 1594, 9209, 1186, 11315, 106, 25843, 30284, 1186, 11315, 106, 145, 12900, 26728, 1761, 106, 27002, 2081, 5987, 1366, 4655, 2794, 106, 15481, 2923, 15974, 1186, 488, 124, 132, 130, 125, 106, 158, 1869, 3359, 1128, 1186, 11315, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 1252, 4505, 1161, 3187, 182, 1488, 1239, 1110, 31094, 3481, 6446, 6794, 1449, 20705, 1922, 183, 1182, 1105, 1171, 10956, 1589, 1171, 1600, 4361, 1449, 20714, 14842, 1204, 1157, 1374, 1147, 3152, 4203, 121, 3480, 17543, 1161, 3337, 20857, 9578, 1446, 488, 124, 132, 132, 126, 1163, 488, 124, 132, 132, 128, 119, 1341, 1239, 8226, 1449, 22728, 1142, 19210, 1285, 18814, 1147, 1135, 5246, 1731, 1142, 1125, 7005, 109, 4405, 121, 1748, 19469, 1161, 10734, 11655, 2060, 2197, 3035, 28299, 1341, 1463, 1597, 24645, 2470, 1135, 4823, 1152, 1786, 4048, 15160, 1135, 5013, 1161, 1135, 2423, 1106, 1461, 1433, 1210, 14009, 1629, 7017, 106, 106, 158, 31751, 106, 106, 1598, 28599, 2142, 1238, 3187, 182, 1488, 29217, 1135, 8346, 2333, 14678, 7056, 1139, 1272, 1941, 9105, 1110, 23509, 7003, 18228, 14157, 1449, 1135, 1281, 1810, 1851, 3024, 23334, 1146, 15563, 1762, 2810, 4834, 1171, 2543, 20878, 27039, 1988, 16736, 1135, 15869, 1842, 1161, 1135, 20254, 1161, 5992, 2337, 1446, 1110, 1235, 11284, 22483, 1604, 21636, 1104, 17922, 1125, 13598, 19108, 1110, 19742, 24959, 29893, 21975, 1171, 13155, 1161, 1135, 22483, 134, 1198, 2570, 3476, 1110, 22522, 8319, 134, 1222, 7741, 2271, 114, 148, 3100, 14678, 1713, 5472, 18673, 1108, 1626, 1324, 1110, 21767, 27792, 13421, 3261, 1255, 1369, 4307, 1148, 2065, 30948, 14678, 21850, 196, 6100, 1276, 1150, 1128, 3271, 7827, 1147, 2161, 2890, 4922, 1831, 1149, 13421, 1171, 12183, 3097, 1158, 1266, 1237, 1407, 6664, 14678, 21359, 7206, 1106, 4952, 1324, 1110, 20121, 196, 9542, 4080, 4095, 3187, 182, 1488, 6817, 1104, 21266, 24922, 1813, 1446, 22483, 1163, 22483, 1171, 1446, 13798, 1163, 1239, 12906, 2468, 4592, 1210, 4886, 2644, 1839, 2313, 2563, 18673, 1108, 30913, 21975, 1285, 1171, 14695, 1691, 24047, 2492, 1226, 1135, 17241, 2217, 1119, 1206, 1161, 4784, 1302, 1239, 3187, 182, 1488, 121, 106, 106, 3681, 4354, 190, 106, 106, 124, 119, 1410, 1325, 7093, 2420, 1350, 1343, 2121, 20705, 1922, 183, 1182, 1105, 3615, 3055, 1496, 20714, 14842, 1204, 1157, 1374, 1175, 13774, 4203, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 126, 119, 488, 127, 127, 5701, 106, 125, 119, 6980, 1163, 1352, 1237, 4496, 20705, 1922, 183, 1182, 1105, 3615, 3055, 1496, 20714, 14842, 1204, 1157, 1374, 1175, 13774, 4203, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 127, 119, 488, 127, 127, 5701, 106, 126, 119, 14968, 2747, 3934, 2726, 20705, 1922, 183, 1182, 1105, 3615, 3055, 1496, 20714, 14842, 1204, 1157, 1374, 1175, 13774, 4203, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 128, 119, 488, 127, 127, 5701, 106, 18218, 2318, 1132, 20857, 488, 124, 1163, 488, 126, 119, 20705, 1922, 183, 1182, 1105, 3615, 3055, 1496, 20714, 14842, 1204, 1157, 1374, 1175, 13774, 4203, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 130, 119, 488, 124, 126, 130, 5701, 106, 106, 145, 1157, 1276, 7674, 106, 1598, 12223, 1152, 1786, 4048, 8314, 12227, 2352, 2128, 1410, 16176, 1625, 25567, 6120, 26441, 1239, 16638, 1163, 7705, 2394, 1135, 5013, 3413, 1589, 1147, 1135, 5727, 1152, 1786, 4048, 14968, 2747, 3934, 3850, 14835, 2638, 7834, 3110, 1171, 5885, 1393, 16851, 1171, 3468, 7237, 26441, 1296, 1135, 18161, 1393, 27919, 9492, 1147, 1789, 3022, 28599, 10115, 3108, 1147, 1135, 3018, 1161, 21659, 1762, 1410, 2544, 7832, 1161, 4671, 3701, 1410, 11174, 2554, 1775, 1161, 1671, 1276, 172, 18944, 1254, 16314, 257, 5055, 1204, 16097, 119, 4892, 6067, 1135, 6446, 12388, 1238, 1135, 24199, 1293, 1182, 114, 4877, 21372, 1135, 6446, 1296, 1235, 1219, 1265, 19780, 4095, 106, 106, 2834, 3330, 1238, 5885, 106, 106, 1598, 2977, 6755, 13368, 7822, 1446, 1922, 183, 1182, 1105, 9360, 119, 12542, 2441, 1163, 488, 125, 123, 123, 130, 121, 106, 106, 2233, 183, 1182, 13887, 21112, 1905, 1789, 1360, 14206, 1355, 1375, 3026, 4554, 1163, 1870, 1238, 3187, 182, 1488, 1175, 125, 123, 123, 128, 3568, 106, 106, 2233, 183, 1182, 13887, 21112, 6910, 15041, 1302, 1204, 1157, 1374, 1602, 1432, 1255, 1156, 4645, 1238, 3187, 182, 1488, 1175, 125, 123, 123, 129, 3568, 106, 106, 2233, 183, 1182, 13887, 21112, 4582, 1149, 1135, 1907, 6762, 1806, 1449, 1135, 6446, 1198, 3538, 1171, 2019, 5640, 1238, 1135, 5885, 1161, 3187, 182, 1488, 1175, 125, 123, 123, 130, 3568, 106, 106, 2439, 17935, 106, 106, 141, 4807, 11114, 133, 6608, 2241, 106, 106, 26722, 4672, 3009, 6608, 2241, 106, 4282, 182, 1488, 1862, 1323, 10822, 1865, 14874, 1163, 1135, 1218, 3674, 1161, 1922, 183, 1182, 1105, 1171, 1204, 1157, 4280, 3813, 1135, 6446, 3187, 182, 1488, 106, 106, 20634, 1171, 22874, 133, 6608, 2241, 106, 106, 158, 5319, 22728, 1142, 15495, 1420, 106, 158, 1731, 1142, 15495, 1420, 1323, 22728, 1142, 1125, 7005, 106, 22448, 1452, 186, 3551, 27092, 2323, 1218, 3674, 106, 147, 4782, 1146, 30155, 31094, 106, 147, 1255, 1121, 1212, 31094, 106, 144, 1150, 1310, 1218, 17505, 32001, 488, 106, 32000, 20036, 106, 4455, 4390, 1250, 1304, 4282, 182, 1488, 1299, 1318, 4726, 1125, 11350, 29995, 12354, 1124, 6657, 1215, 20705, 1922, 183, 1182, 1105, 1167, 29995, 1167, 3591, 1186, 10082, 1215, 20714, 14842, 1204, 1157, 1374, 1186, 7099, 3323, 7017, 1748, 1595, 1199, 3203, 6622, 1104, 3594, 2011, 1125, 488, 124, 132, 132, 126, 1188, 488, 124, 132, 132, 128, 119, 2399, 1299, 20896, 1303, 1215, 22728, 1142, 19210, 1285, 1188, 21839, 1313, 1158, 4405, 1606, 22728, 1142, 1125, 7005, 4821, 1748, 1482, 1303, 6111, 1267, 3327, 7556, 3088, 1300, 2069, 6622, 1346, 2399, 1110, 1913, 1597, 3511, 187, 1277, 2750, 1170, 8483, 19911, 119, 25378, 1147, 7986, 4326, 13400, 1227, 2423, 1106, 1461, 1433, 21844, 106, 106, 158, 31751, 106, 106, 3562, 1114, 22729, 1281, 8866, 11953, 1300, 3187, 182, 1488, 1175, 2336, 3063, 2333, 1606, 1110, 7056, 1139, 1272, 1941, 26384, 1318, 17244, 9569, 12462, 1685, 26319, 1215, 1158, 29412, 14915, 23334, 1146, 15563, 1762, 2810, 1157, 1167, 1253, 1150, 2011, 12640, 3450, 31036, 1207, 31008, 1125, 1282, 25502, 1272, 1125, 7762, 3403, 2335, 1606, 20901, 14996, 1524, 1257, 21636, 1104, 17922, 1125, 13598, 19108, 9304, 1199, 30771, 27975, 8499, 1167, 11535, 1227, 20901, 2040, 1198, 2570, 3476, 26947, 2040, 1222, 7741, 2271, 114, 148, 3100, 1606, 1189, 1578, 1250, 18673, 1108, 1369, 1188, 1158, 1166, 2291, 2385, 2505, 1303, 1524, 2040, 3261, 1255, 1369, 4307, 1148, 2065, 30948, 1606, 1189, 1111, 30629, 1829, 1250, 13778, 8740, 1124, 2360, 10743, 1399, 1317, 14675, 1125, 2077, 27582, 1524, 2040, 1167, 12183, 3097, 1158, 1266, 1237, 1407, 6664, 1606, 1318, 21359, 1407, 1366, 16037, 1632, 1317, 3358, 1292, 22875, 7088, 4821, 3187, 182, 1488, 22057, 1126, 24922, 1813, 1557, 23958, 1125, 27334, 1541, 1186, 27334, 1541, 1167, 1304, 249, 1328, 1186, 14616, 5899, 2585, 15069, 1285, 2714, 10448, 11184, 18673, 1108, 5291, 2958, 12202, 1167, 21415, 2931, 1557, 1554, 1281, 20096, 1129, 27272, 1811, 1754, 18742, 11739, 1980, 1182, 3187, 182, 1488, 121, 106, 106, 3681, 4354, 190, 106, 106, 124, 119, 2576, 1510, 13988, 31236, 26397, 119, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 126, 119, 488, 127, 127, 5701, 106, 125, 119, 23908, 1188, 1352, 1237, 4496, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 127, 119, 488, 127, 127, 5701, 106, 126, 119, 3934, 1478, 9701, 183, 2851, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 128, 119, 488, 127, 127, 5701, 106, 1428, 1389, 1800, 1126, 6622, 1104, 488, 124, 1188, 488, 126, 119, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 130, 119, 488, 124, 126, 130, 5701, 106, 106, 2834, 15016, 19911, 106, 2606, 16934, 19911, 119, 1317, 3694, 24080, 1643, 5038, 15493, 2130, 10005, 119, 3233, 17151, 1407, 1107, 13400, 3413, 1303, 1313, 1170, 19911, 6175, 3310, 3934, 1478, 9701, 183, 4974, 6218, 9487, 3858, 3110, 1125, 8969, 1167, 8142, 13335, 6265, 1508, 18596, 1153, 1167, 3468, 7237, 15782, 1207, 13588, 6058, 6525, 1834, 1301, 1124, 1234, 1215, 2770, 7860, 1114, 1550, 1346, 3747, 6650, 1125, 31833, 1125, 21659, 1762, 1808, 2544, 5901, 1304, 4248, 3701, 1808, 1266, 10702, 3074, 1234, 1304, 164, 1276, 172, 18944, 1254, 16314, 257, 2854, 6534, 1150, 7763, 4892, 1643, 15606, 1125, 1158, 4726, 1300, 1170, 1865, 24199, 1293, 1182, 114, 17009, 11103, 1158, 4726, 1856, 1606, 11051, 12115, 4821, 106, 106, 142, 14159, 1300, 15623, 13335, 6265, 106, 106, 4455, 8091, 3412, 11131, 10708, 14719, 17194, 183, 1182, 1105, 1186, 27163, 1878, 6011, 1188, 488, 125, 123, 123, 130, 121, 106, 106, 142, 5883, 17194, 183, 1182, 1105, 10110, 1199, 1125, 1964, 1360, 14206, 1188, 1288, 1382, 3937, 6115, 193, 8348, 1300, 3187, 182, 1488, 1175, 125, 123, 123, 128, 116, 1257, 106, 106, 142, 5883, 17194, 183, 1182, 2114, 1894, 1105, 13503, 1309, 1204, 1157, 1374, 1110, 6741, 1535, 244, 1188, 9963, 1300, 3187, 182, 1488, 1175, 125, 123, 123, 129, 116, 1257, 106, 106, 142, 5883, 17194, 183, 1182, 1105, 15000, 5725, 1158, 2320, 1309, 5909, 1158, 4726, 1198, 3538, 1313, 1964, 10413, 1227, 2658, 1167, 1594, 10969, 1300, 8425, 6265, 1304, 4282, 182, 1488, 1175, 125, 123, 123, 130, 116, 1257, 106, 106, 2439, 17935, 106, 106, 141, 13449, 1257, 26281, 12372, 106, 106, 28870, 5825, 1257, 1618, 5725, 1297, 106, 4282, 182, 1488, 1862, 1323, 1865, 1125, 9887, 1281, 9331, 6387, 1571, 24199, 17194, 183, 1182, 1105, 1167, 1204, 1157, 4280, 2487, 1158, 4726, 3187, 182, 1488, 106, 106, 20634, 1167, 5474, 1257, 1618, 5725, 1457, 106, 106, 158, 2974, 22728, 1142, 15495, 1420, 106, 158, 1731, 1142, 15495, 1420, 1323, 22728, 1142, 1125, 7005, 106, 141, 2163, 29995, 7962, 186, 2687, 1140, 1315, 106, 141, 2163, 29995, 1304, 3331, 186, 1146, 30155, 106, 141, 2163, 29995, 28712, 12530, 106, 141, 2163, 29995, 1253, 1150, 17285, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 4455, 4390, 1250, 1304, 4282, 182, 1488, 1299, 1318, 4726, 1125, 11350, 29995, 12354, 1124, 6657, 1215, 20705, 1922, 183, 1182, 1105, 1167, 29995, 1167, 3591, 1186, 10082, 1215, 20714, 14842, 1204, 1157, 1374, 1186, 7099, 3323, 7017, 1748, 1595, 1199, 3203, 6622, 1104, 3594, 2011, 1125, 488, 124, 132, 132, 126, 1188, 488, 124, 132, 132, 128, 119, 2399, 1299, 20896, 1303, 1215, 22728, 1142, 19210, 1285, 1188, 21839, 1313, 1158, 4405, 1606, 22728, 1142, 1125, 7005, 4821, 1748, 1482, 1303, 6111, 1267, 3327, 7556, 3088, 1300, 2069, 6622, 1346, 2399, 1110, 1913, 1597, 3511, 187, 1277, 2750, 1170, 8483, 19911, 119, 25378, 1147, 7986, 4326, 13400, 1227, 2423, 1106, 1461, 1433, 21844, 106, 106, 158, 31751, 106, 106, 3562, 1114, 22729, 1281, 8866, 11953, 1300, 3187, 182, 1488, 1175, 2336, 3063, 2333, 1606, 1110, 7056, 1139, 1272, 1941, 26384, 1318, 17244, 9569, 12462, 1685, 26319, 1215, 1158, 29412, 14915, 23334, 1146, 15563, 1762, 2810, 1157, 1167, 1253, 1150, 2011, 12640, 3450, 31036, 1207, 31008, 1125, 1282, 25502, 1272, 1125, 7762, 3403, 2335, 1606, 20901, 14996, 1524, 1257, 21636, 1104, 17922, 1125, 13598, 19108, 9304, 1199, 30771, 27975, 8499, 1167, 11535, 1227, 20901, 2040, 1198, 2570, 3476, 26947, 2040, 1222, 7741, 2271, 114, 148, 3100, 1606, 1189, 1578, 1250, 18673, 1108, 1369, 1188, 1158, 1166, 2291, 2385, 2505, 1303, 1524, 2040, 3261, 1255, 1369, 4307, 1148, 2065, 30948, 1606, 1189, 1111, 30629, 1829, 1250, 13778, 8740, 1124, 2360, 10743, 1399, 1317, 14675, 1125, 2077, 27582, 1524, 2040, 1167, 12183, 3097, 1158, 1266, 1237, 1407, 6664, 1606, 1318, 21359, 1407, 1366, 16037, 1632, 1317, 3358, 1292, 22875, 7088, 4821, 3187, 182, 1488, 22057, 1126, 24922, 1813, 1557, 23958, 1125, 27334, 1541, 1186, 27334, 1541, 1167, 1304, 249, 1328, 1186, 14616, 5899, 2585, 15069, 1285, 2714, 10448, 11184, 18673, 1108, 5291, 2958, 12202, 1167, 21415, 2931, 1557, 1554, 1281, 20096, 1129, 27272, 1811, 1754, 18742, 11739, 1980, 1182, 3187, 182, 1488, 121, 106, 106, 3681, 4354, 190, 106, 106, 124, 119, 2576, 1510, 13988, 31236, 26397, 119, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 126, 119, 488, 127, 127, 5701, 106, 125, 119, 23908, 1188, 1352, 1237, 4496, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 127, 119, 488, 127, 127, 5701, 106, 126, 119, 3934, 1478, 9701, 183, 2851, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 128, 119, 488, 127, 127, 5701, 106, 1428, 1389, 1800, 1126, 6622, 1104, 488, 124, 1188, 488, 126, 119, 20705, 1922, 183, 1182, 1105, 1175, 2865, 1538, 5844, 1496, 20714, 14842, 1204, 1157, 1374, 4250, 1224, 2982, 7099, 1496, 22728, 1142, 19210, 1285, 488, 124, 132, 132, 130, 119, 488, 124, 126, 130, 5701, 106, 106, 2834, 15016, 19911, 106, 2606, 16934, 19911, 119, 1317, 3694, 24080, 1643, 5038, 15493, 2130, 10005, 119, 3233, 17151, 1407, 1107, 13400, 3413, 1303, 1313, 1170, 19911, 6175, 3310, 3934, 1478, 9701, 183, 4974, 6218, 9487, 3858, 3110, 1125, 8969, 1167, 8142, 13335, 6265, 1508, 18596, 1153, 1167, 3468, 7237, 15782, 1207, 13588, 6058, 6525, 1834, 1301, 1124, 1234, 1215, 2770, 7860, 1114, 1550, 1346, 3747, 6650, 1125, 31833, 1125, 21659, 1762, 1808, 2544, 5901, 1304, 4248, 3701, 1808, 1266, 10702, 3074, 1234, 1304, 164, 1276, 172, 18944, 1254, 16314, 257, 2854, 6534, 1150, 7763, 4892, 1643, 15606, 1125, 1158, 4726, 1300, 1170, 1865, 24199, 1293, 1182, 114, 17009, 11103, 1158, 4726, 1856, 1606, 11051, 12115, 4821, 106, 106, 142, 14159, 1300, 15623, 13335, 6265, 106, 106, 4455, 8091, 3412, 11131, 10708, 14719, 17194, 183, 1182, 1105, 1186, 27163, 1878, 6011, 1188, 488, 125, 123, 123, 130, 121, 106, 106, 142, 5883, 17194, 183, 1182, 1105, 10110, 1199, 1125, 1964, 1360, 14206, 1188, 1288, 1382, 3937, 6115, 193, 8348, 1300, 3187, 182, 1488, 1175, 125, 123, 123, 128, 116, 1257, 106, 106, 142, 5883, 17194, 183, 1182, 2114, 1894, 1105, 13503, 1309, 1204, 1157, 1374, 1110, 6741, 1535, 244, 1188, 9963, 1300, 3187, 182, 1488, 1175, 125, 123, 123, 129, 116, 1257, 106, 106, 142, 5883, 17194, 183, 1182, 1105, 15000, 5725, 1158, 2320, 1309, 5909, 1158, 4726, 1198, 3538, 1313, 1964, 10413, 1227, 2658, 1167, 1594, 10969, 1300, 8425, 6265, 1304, 4282, 182, 1488, 1175, 125, 123, 123, 130, 116, 1257, 106, 106, 2439, 17935, 106, 106, 141, 13449, 1257, 26281, 12372, 106, 106, 28870, 5825, 1257, 1618, 5725, 1297, 106, 4282, 182, 1488, 1862, 1323, 1865, 1125, 9887, 1281, 9331, 6387, 1571, 24199, 17194, 183, 1182, 1105, 1167, 1204, 1157, 4280, 2487, 1158, 4726, 3187, 182, 1488, 106, 106, 20634, 1167, 5474, 1257, 1618, 5725, 1457, 106, 106, 158, 2974, 22728, 1142, 15495, 1420, 106, 158, 1731, 1142, 15495, 1420, 1323, 22728, 1142, 1125, 7005, 106, 141, 2163, 29995, 7962, 186, 2687, 1140, 1315, 106, 141, 2163, 29995, 1304, 3331, 186, 1146, 30155, 106, 141, 2163, 29995, 28712, 12530, 106, 141, 2163, 29995, 1253, 1150, 17285, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 10598, 12957, 23206, 1239, 1110, 13066, 28557, 1147, 1758, 1110, 1618, 11105, 9724, 116, 21818, 9962, 1163, 1280, 1110, 1138, 1651, 4994, 106, 106, 147, 7569, 1926, 22874, 106, 1598, 2481, 13782, 17552, 1161, 1413, 1513, 3820, 2277, 1537, 2023, 4273, 1705, 1210, 1217, 1245, 5043, 1124, 19368, 2000, 1147, 1135, 7940, 1161, 11449, 1463, 8723, 30217, 1656, 1446, 2467, 2546, 1171, 1235, 1230, 25020, 2141, 15312, 1108, 2758, 106, 142, 16264, 1321, 3513, 6470, 1116, 2580, 4273, 1705, 1210, 1217, 1245, 5043, 1124, 1296, 1110, 7214, 1978, 1942, 1647, 7210, 1944, 1162, 1161, 1110, 1618, 2000, 2055, 13516, 4397, 4490, 121, 106, 106, 8321, 8756, 1163, 11687, 2323, 4786, 119, 1135, 19769, 2850, 179, 1176, 19041, 24952, 175, 1464, 4853, 2554, 4313, 1248, 1502, 1174, 25495, 1446, 1135, 4346, 4476, 1302, 1386, 1463, 1110, 1116, 13597, 5096, 1135, 19987, 1161, 1110, 24771, 1171, 17163, 1163, 1280, 14859, 1540, 1302, 1765, 1131, 1328, 179, 2592, 1280, 9634, 3078, 2133, 1463, 1116, 6688, 1449, 3942, 1146, 2334, 2036, 106, 106, 13675, 1269, 106, 10598, 12957, 23206, 3517, 21710, 5072, 2043, 1110, 30316, 1147, 1135, 7515, 1243, 1161, 1110, 3981, 4476, 119, 21818, 9962, 1163, 1280, 1110, 1138, 1770, 1329, 24771, 134, 1171, 27297, 1163, 5368, 1171, 4369, 1435, 6612, 7281, 106, 106, 4515, 1602, 2023, 17521, 1302, 8708, 23152, 3366, 25671, 119, 1171, 1574, 1180, 26432, 2263, 2592, 20281, 1163, 2536, 23695, 1297, 106, 106, 143, 3241, 190, 2277, 1959, 2489, 1151, 3283, 5897, 121, 1321, 3513, 119, 1226, 5053, 1685, 8032, 2269, 1110, 21437, 2010, 1490, 1156, 9724, 8723, 3241, 1156, 2293, 1463, 31261, 1151, 3283, 3056, 3571, 2758, 3676, 1463, 5069, 1130, 1156, 1449, 1135, 6173, 1224, 1324, 1135, 3610, 3009, 8984, 1246, 11250, 1161, 1421, 1163, 1218, 2596, 3454, 1680, 7888, 1393, 3037, 13947, 1226, 1421, 2758, 1410, 6173, 1224, 2491, 7947, 2067, 1163, 1135, 10849, 1171, 13032, 6409, 1171, 1135, 11146, 1107, 17032, 1703, 2127, 1110, 17300, 108, 106, 106, 145, 1112, 1506, 2055, 2102, 16214, 5145, 4580, 1147, 1758, 13066, 28557, 2055, 5970, 1324, 1110, 11146, 1171, 1147, 1758, 1135, 5379, 5786, 1164, 1255, 1161, 1135, 11146, 2055, 1616, 7428, 2758, 106, 106, 6171, 9941, 1643, 1149, 8065, 1151, 1574, 22228, 28988, 5048, 1161, 1110, 5690, 24601, 1147, 1758, 1135, 30665, 1267, 2055, 1110, 14945, 1132, 8000, 1161, 1978, 8223, 1147, 1907, 133, 24148, 6167, 9976, 2141, 1209, 1463, 1144, 1265, 5205, 3575, 1147, 1957, 5016, 1161, 24603, 1324, 1703, 9250, 1703, 1110, 1197, 1494, 18159, 24603, 1703, 1296, 1411, 1209, 1463, 1151, 3719, 2726, 1329, 7181, 1703, 7181, 1110, 3564, 3719, 3850, 1192, 5035, 1161, 10261, 1109, 1237, 18345, 1329, 4409, 2141, 1302, 1171, 5096, 17830, 2141, 1110, 10261, 1109, 1237, 1107, 8318, 26420, 106, 106, 3138, 1654, 10187, 106, 144, 1766, 1233, 5020, 8261, 1135, 5756, 3162, 1161, 3901, 1296, 1110, 5529, 2043, 1135, 3230, 27730, 2314, 1324, 3791, 1926, 2337, 2000, 1526, 11059, 4144, 2127, 10187, 13065, 1171, 19737, 1302, 2764, 6470, 1147, 3901, 14678, 3386, 2717, 2337, 1537, 1151, 10187, 1302, 9707, 2903, 1171, 2903, 1147, 1789, 11146, 1297, 8940, 1239, 1789, 1163, 1654, 1703, 4409, 1302, 1526, 4343, 1110, 2659, 2441, 1163, 5756, 1978, 1942, 1647, 21925, 1297, 106, 106, 142, 14803, 22874, 3822, 8096, 2337, 1296, 5145, 2251, 3476, 12424, 4149, 2860, 5177, 1171, 3228, 15030, 1156, 12691, 1135, 7435, 119, 9668, 1135, 3267, 1163, 12348, 109, 1526, 1280, 1441, 4269, 2441, 1355, 4674, 1163, 2358, 7613, 134, 2884, 1135, 8723, 3946, 21925, 1161, 5718, 1171, 24771, 8264, 1147, 7015, 28712, 8065, 4129, 7995, 3869, 1161, 3981, 4476, 1132, 21925, 121, 16165, 2248, 6898, 9140, 2536, 1296, 14678, 10175, 1623, 176, 16372, 16778, 18294, 1147, 1758, 11737, 1156, 1106, 1452, 1201, 1393, 5315, 19786, 1449, 1135, 8109, 1161, 1135, 16372, 16778, 109, 2098, 4559, 1163, 6672, 2536, 1163, 1654, 1146, 122, 2652, 7206, 6264, 13856, 106, 106, 1428, 7015, 3908, 106, 1598, 1165, 13597, 1151, 13322, 2323, 3418, 1449, 1222, 1662, 2955, 4020, 9345, 181, 1670, 106, 1428, 1151, 14975, 1161, 1135, 27639, 1405, 1665, 1810, 1135, 20536, 1626, 9717, 119, 31474, 1174, 2433, 6227, 1163, 6905, 2293, 1239, 1110, 24771, 2470, 18045, 1110, 24771, 1138, 1488, 1296, 1110, 14350, 1171, 14416, 19466, 1269, 4573, 6479, 1341, 1163, 1280, 1110, 9959, 1161, 1572, 23581, 23895, 1410, 31648, 1161, 1135, 14975, 1393, 19847, 29762, 13808, 3068, 1151, 16523, 1162, 1161, 1135, 13782, 6537, 8391, 1810, 8391, 172, 1147, 1135, 5469, 1161, 31474, 14989, 3026, 1110, 24771, 1163, 5414, 1135, 5013, 1161, 1135, 3056, 14416, 2374, 1160, 1161, 5718, 121, 106, 106, 1891, 9520, 106, 106, 12225, 1589, 3760, 106, 2809, 1109, 1926, 14706, 12957, 23206, 106, 147, 1495, 1121, 106, 148, 186, 106, 2103, 1107, 5472, 179, 23206, 106, 106, 152, 11643, 28557, 106, 2103, 1107, 5472, 179, 23206, 4297, 32001, 488, 106, 32000, 20036, 106, 3562, 2612, 12957, 2248, 1214, 1299, 1318, 9774, 31700, 1313, 5685, 1189, 5598, 8665, 1318, 4875, 116, 30784, 1823, 1189, 1138, 1651, 4537, 106, 106, 8044, 4811, 17104, 488, 106, 3562, 17753, 1158, 1408, 13970, 1125, 1440, 13903, 7457, 1913, 1266, 1219, 2547, 1259, 1105, 1180, 1121, 19368, 1357, 1313, 1170, 21358, 1125, 11449, 1110, 1913, 1606, 1270, 29413, 1197, 6626, 3133, 1167, 1110, 1606, 13010, 244, 1125, 1282, 3331, 1897, 1856, 1207, 1138, 283, 3299, 1297, 1524, 106, 142, 16264, 1321, 3513, 25825, 172, 1215, 1158, 3011, 1266, 1219, 2547, 1259, 1105, 1180, 1121, 1856, 1158, 8577, 30629, 1312, 25937, 2132, 1942, 1647, 10554, 2335, 5598, 1357, 1299, 1543, 244, 4202, 7477, 121, 106, 106, 158, 3015, 1158, 4786, 1616, 1965, 1170, 19041, 3358, 196, 1468, 24952, 175, 1464, 4853, 2554, 4313, 1248, 1502, 1174, 8355, 3144, 1125, 1282, 1292, 4476, 3365, 3031, 1318, 1152, 2291, 119, 9005, 1170, 19614, 2519, 1152, 2291, 1167, 3126, 1199, 11154, 1158, 1111, 1277, 3143, 1309, 1561, 11994, 2666, 9634, 3798, 1768, 1110, 1913, 2166, 1550, 1215, 3942, 1146, 2794, 121, 106, 106, 13704, 9124, 488, 106, 3562, 2612, 12957, 2248, 1214, 1281, 2513, 2743, 10125, 13625, 1515, 27163, 1186, 9130, 9135, 1125, 3338, 6785, 1281, 30784, 1823, 1189, 1138, 283, 3299, 1362, 1318, 1152, 2291, 2040, 1167, 16636, 1125, 8432, 1167, 1125, 1281, 1417, 4448, 1186, 5972, 7190, 106, 106, 5164, 1110, 1913, 5251, 5364, 1309, 4428, 2124, 185, 21744, 1158, 25671, 1167, 24858, 1180, 26432, 2263, 28661, 21762, 1188, 1125, 8303, 14694, 14817, 106, 106, 4455, 27926, 13267, 2445, 9571, 1189, 6315, 28972, 1321, 3513, 119, 1215, 8675, 21045, 2327, 1318, 4875, 9204, 1303, 1606, 8014, 193, 1370, 7230, 7667, 1370, 1188, 1189, 2682, 18679, 3056, 28972, 1524, 3450, 1110, 1913, 10256, 1214, 1215, 4428, 22970, 1206, 1469, 1207, 6185, 1257, 1606, 8921, 3557, 30514, 11884, 3294, 8920, 121, 7255, 2106, 11406, 1508, 4162, 1167, 3342, 1385, 7469, 4364, 1524, 2576, 179, 22970, 1206, 1158, 6591, 1660, 1123, 3042, 1188, 1158, 4665, 1167, 1282, 1542, 1687, 119, 1167, 1158, 13633, 1632, 31267, 1703, 1313, 1318, 1754, 1364, 1590, 106, 106, 145, 1112, 1506, 3618, 1375, 244, 2757, 11218, 1606, 1197, 2015, 1313, 11786, 1318, 9774, 31700, 3618, 13551, 1469, 1189, 13633, 1167, 1313, 11786, 1170, 3338, 1229, 30530, 1227, 13633, 3618, 31825, 244, 4821, 106, 106, 6171, 9941, 1643, 1149, 6019, 1189, 19825, 1574, 22228, 11565, 2519, 5690, 1679, 1313, 5685, 1170, 30665, 2038, 1110, 4795, 1189, 1606, 8444, 14177, 1125, 2132, 8223, 1313, 1170, 2658, 1257, 1606, 4090, 9234, 1186, 1844, 1282, 12344, 1304, 4166, 1107, 1313, 1318, 9083, 1125, 22200, 1469, 1703, 4795, 179, 1703, 22200, 2627, 1107, 1960, 1703, 1856, 1995, 4090, 13064, 1189, 3719, 2726, 1362, 6617, 1703, 6617, 1189, 6596, 3719, 3850, 3559, 9083, 1125, 10261, 1109, 1237, 13088, 1362, 6334, 5123, 1856, 3609, 1167, 8324, 27496, 1197, 23928, 1856, 1189, 10261, 1109, 1237, 3149, 1297, 1524, 106, 106, 6880, 1119, 5894, 1163, 1654, 488, 106, 144, 1766, 1233, 5020, 4400, 1797, 1123, 1207, 9881, 4092, 1125, 1158, 2492, 1856, 1318, 4927, 2585, 28425, 1606, 9886, 1469, 1197, 6950, 3791, 2097, 1357, 2830, 7008, 1281, 20523, 1186, 12296, 3133, 1167, 4932, 1370, 1309, 2076, 1408, 7959, 1313, 1158, 2492, 1606, 1189, 2511, 2510, 1125, 3403, 2004, 1189, 10187, 1357, 14065, 2743, 1167, 2743, 1313, 2770, 8014, 193, 1457, 14059, 1964, 1163, 1654, 1703, 6334, 5123, 1357, 1915, 9791, 1318, 8401, 1125, 5464, 1256, 1207, 9881, 3822, 6908, 2132, 1942, 1289, 1457, 106, 106, 4455, 5474, 24515, 2627, 11254, 176, 2972, 28096, 1197, 3403, 1235, 1437, 1232, 1227, 16082, 1478, 119, 1207, 8973, 3295, 1138, 2532, 1234, 1167, 1158, 6425, 1113, 4928, 1303, 2079, 1158, 27069, 24641, 2079, 1158, 3267, 1188, 15593, 1878, 14504, 1317, 2864, 1188, 2358, 23755, 2040, 11781, 1309, 1606, 1282, 20346, 19435, 1125, 1158, 4875, 1167, 1125, 1158, 1152, 2291, 1524, 1313, 4428, 1255, 1157, 13565, 6019, 1318, 3419, 3869, 7727, 1378, 1304, 20346, 3338, 1187, 12372, 3190, 30619, 29917, 10723, 8303, 1309, 1606, 1318, 16037, 1227, 16372, 1126, 26750, 1712, 176, 1313, 5685, 1197, 16037, 1392, 7193, 8858, 1508, 5315, 1740, 1234, 1215, 30457, 1227, 16372, 1126, 1524, 1281, 16351, 1370, 20721, 1125, 8303, 6264, 2027, 1163, 1389, 184, 2097, 5126, 2748, 10373, 121, 106, 106, 22507, 1158, 3908, 13565, 488, 106, 3562, 1352, 2291, 119, 1189, 3418, 5682, 1119, 1354, 1215, 1222, 1662, 2955, 4020, 9345, 181, 1670, 106, 22507, 1189, 15956, 1227, 10977, 3719, 244, 1405, 1665, 1810, 1158, 1131, 2538, 1148, 12759, 185, 3693, 1158, 6018, 5921, 31474, 14989, 1186, 7424, 1188, 17165, 7230, 1299, 1318, 1152, 2291, 2750, 2782, 8217, 1318, 1455, 6154, 1188, 1152, 2291, 1186, 14062, 1167, 3664, 4308, 1188, 13117, 3365, 25005, 20045, 2335, 16119, 121, 1808, 18711, 1125, 10399, 6362, 1508, 11129, 9943, 12001, 10184, 1318, 11925, 18394, 1125, 1158, 13970, 15038, 8391, 1810, 8391, 172, 1313, 1170, 12071, 1125, 31474, 14989, 6058, 1318, 1152, 2291, 1256, 14995, 1213, 1170, 15364, 4859, 3056, 1197, 2820, 14385, 106, 106, 10853, 106, 106, 10026, 11052, 488, 106, 1200, 5451, 12957, 2248, 1214, 26102, 106, 1306, 1495, 1121, 106, 1209, 186, 106, 1545, 1550, 12957, 2248, 1214, 106, 106, 152, 1132, 1217, 1214, 31700, 106, 2103, 1550, 12957, 2248, 1214, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 2612, 12957, 2248, 1214, 1299, 1318, 9774, 31700, 1313, 5685, 1189, 5598, 8665, 1318, 4875, 116, 30784, 1823, 1189, 1138, 1651, 4537, 106, 106, 8044, 4811, 17104, 488, 106, 3562, 17753, 1158, 1408, 13970, 1125, 1440, 13903, 7457, 1913, 1266, 1219, 2547, 1259, 1105, 1180, 1121, 19368, 1357, 1313, 1170, 21358, 1125, 11449, 1110, 1913, 1606, 1270, 29413, 1197, 6626, 3133, 1167, 1110, 1606, 13010, 244, 1125, 1282, 3331, 1897, 1856, 1207, 1138, 283, 3299, 1297, 1524, 106, 142, 16264, 1321, 3513, 25825, 172, 1215, 1158, 3011, 1266, 1219, 2547, 1259, 1105, 1180, 1121, 1856, 1158, 8577, 30629, 1312, 25937, 2132, 1942, 1647, 10554, 2335, 5598, 1357, 1299, 1543, 244, 4202, 7477, 121, 106, 106, 158, 3015, 1158, 4786, 1616, 1965, 1170, 19041, 3358, 196, 1468, 24952, 175, 1464, 4853, 2554, 4313, 1248, 1502, 1174, 8355, 3144, 1125, 1282, 1292, 4476, 3365, 3031, 1318, 1152, 2291, 119, 9005, 1170, 19614, 2519, 1152, 2291, 1167, 3126, 1199, 11154, 1158, 1111, 1277, 3143, 1309, 1561, 11994, 2666, 9634, 3798, 1768, 1110, 1913, 2166, 1550, 1215, 3942, 1146, 2794, 121, 106, 106, 13704, 9124, 488, 106, 3562, 2612, 12957, 2248, 1214, 1281, 2513, 2743, 10125, 13625, 1515, 27163, 1186, 9130, 9135, 1125, 3338, 6785, 1281, 30784, 1823, 1189, 1138, 283, 3299, 1362, 1318, 1152, 2291, 2040, 1167, 16636, 1125, 8432, 1167, 1125, 1281, 1417, 4448, 1186, 5972, 7190, 106, 106, 5164, 1110, 1913, 5251, 5364, 1309, 4428, 2124, 185, 21744, 1158, 25671, 1167, 24858, 1180, 26432, 2263, 28661, 21762, 1188, 1125, 8303, 14694, 14817, 106, 106, 4455, 27926, 13267, 2445, 9571, 1189, 6315, 28972, 1321, 3513, 119, 1215, 8675, 21045, 2327, 1318, 4875, 9204, 1303, 1606, 8014, 193, 1370, 7230, 7667, 1370, 1188, 1189, 2682, 18679, 3056, 28972, 1524, 3450, 1110, 1913, 10256, 1214, 1215, 4428, 22970, 1206, 1469, 1207, 6185, 1257, 1606, 8921, 3557, 30514, 11884, 3294, 8920, 121, 7255, 2106, 11406, 1508, 4162, 1167, 3342, 1385, 7469, 4364, 1524, 2576, 179, 22970, 1206, 1158, 6591, 1660, 1123, 3042, 1188, 1158, 4665, 1167, 1282, 1542, 1687, 119, 1167, 1158, 13633, 1632, 31267, 1703, 1313, 1318, 1754, 1364, 1590, 106, 106, 145, 1112, 1506, 3618, 1375, 244, 2757, 11218, 1606, 1197, 2015, 1313, 11786, 1318, 9774, 31700, 3618, 13551, 1469, 1189, 13633, 1167, 1313, 11786, 1170, 3338, 1229, 30530, 1227, 13633, 3618, 31825, 244, 4821, 106, 106, 6171, 9941, 1643, 1149, 6019, 1189, 19825, 1574, 22228, 11565, 2519, 5690, 1679, 1313, 5685, 1170, 30665, 2038, 1110, 4795, 1189, 1606, 8444, 14177, 1125, 2132, 8223, 1313, 1170, 2658, 1257, 1606, 4090, 9234, 1186, 1844, 1282, 12344, 1304, 4166, 1107, 1313, 1318, 9083, 1125, 22200, 1469, 1703, 4795, 179, 1703, 22200, 2627, 1107, 1960, 1703, 1856, 1995, 4090, 13064, 1189, 3719, 2726, 1362, 6617, 1703, 6617, 1189, 6596, 3719, 3850, 3559, 9083, 1125, 10261, 1109, 1237, 13088, 1362, 6334, 5123, 1856, 3609, 1167, 8324, 27496, 1197, 23928, 1856, 1189, 10261, 1109, 1237, 3149, 1297, 1524, 106, 106, 6880, 1119, 5894, 1163, 1654, 488, 106, 144, 1766, 1233, 5020, 4400, 1797, 1123, 1207, 9881, 4092, 1125, 1158, 2492, 1856, 1318, 4927, 2585, 28425, 1606, 9886, 1469, 1197, 6950, 3791, 2097, 1357, 2830, 7008, 1281, 20523, 1186, 12296, 3133, 1167, 4932, 1370, 1309, 2076, 1408, 7959, 1313, 1158, 2492, 1606, 1189, 2511, 2510, 1125, 3403, 2004, 1189, 10187, 1357, 14065, 2743, 1167, 2743, 1313, 2770, 8014, 193, 1457, 14059, 1964, 1163, 1654, 1703, 6334, 5123, 1357, 1915, 9791, 1318, 8401, 1125, 5464, 1256, 1207, 9881, 3822, 6908, 2132, 1942, 1289, 1457, 106, 106, 4455, 5474, 24515, 2627, 11254, 176, 2972, 28096, 1197, 3403, 1235, 1437, 1232, 1227, 16082, 1478, 119, 1207, 8973, 3295, 1138, 2532, 1234, 1167, 1158, 6425, 1113, 4928, 1303, 2079, 1158, 27069, 24641, 2079, 1158, 3267, 1188, 15593, 1878, 14504, 1317, 2864, 1188, 2358, 23755, 2040, 11781, 1309, 1606, 1282, 20346, 19435, 1125, 1158, 4875, 1167, 1125, 1158, 1152, 2291, 1524, 1313, 4428, 1255, 1157, 13565, 6019, 1318, 3419, 3869, 7727, 1378, 1304, 20346, 3338, 1187, 12372, 3190, 30619, 29917, 10723, 8303, 1309, 1606, 1318, 16037, 1227, 16372, 1126, 26750, 1712, 176, 1313, 5685, 1197, 16037, 1392, 7193, 8858, 1508, 5315, 1740, 1234, 1215, 30457, 1227, 16372, 1126, 1524, 1281, 16351, 1370, 20721, 1125, 8303, 6264, 2027, 1163, 1389, 184, 2097, 5126, 2748, 10373, 121, 106, 106, 22507, 1158, 3908, 13565, 488, 106, 3562, 1352, 2291, 119, 1189, 3418, 5682, 1119, 1354, 1215, 1222, 1662, 2955, 4020, 9345, 181, 1670, 106, 22507, 1189, 15956, 1227, 10977, 3719, 244, 1405, 1665, 1810, 1158, 1131, 2538, 1148, 12759, 185, 3693, 1158, 6018, 5921, 31474, 14989, 1186, 7424, 1188, 17165, 7230, 1299, 1318, 1152, 2291, 2750, 2782, 8217, 1318, 1455, 6154, 1188, 1152, 2291, 1186, 14062, 1167, 3664, 4308, 1188, 13117, 3365, 25005, 20045, 2335, 16119, 121, 1808, 18711, 1125, 10399, 6362, 1508, 11129, 9943, 12001, 10184, 1318, 11925, 18394, 1125, 1158, 13970, 15038, 8391, 1810, 8391, 172, 1313, 1170, 12071, 1125, 31474, 14989, 6058, 1318, 1152, 2291, 1256, 14995, 1213, 1170, 15364, 4859, 3056, 1197, 2820, 14385, 106, 106, 10853, 106, 106, 10026, 11052, 488, 106, 1200, 5451, 12957, 2248, 1214, 26102, 106, 1306, 1495, 1121, 106, 1209, 186, 106, 1545, 1550, 12957, 2248, 1214, 106, 106, 152, 1132, 1217, 1214, 31700, 106, 2103, 1550, 12957, 2248, 1214, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 150, 31459, 30627, 3161, 1299, 1189, 25081, 8403, 5252, 1170, 488, 125, 124, 2829, 488, 124, 132, 125, 124, 1188, 2482, 4524, 1167, 4541, 1170, 488, 130, 3141, 488, 125, 123, 123, 131, 121, 106, 106, 141, 11741, 106, 106, 145, 6417, 4134, 488, 106, 488, 124, 132, 128, 124, 1257, 8058, 14472, 1171, 1135, 15652, 7806, 24928, 6713, 28566, 106, 488, 124, 132, 128, 130, 1257, 1410, 10623, 17310, 1128, 1154, 10823, 3615, 2974, 23170, 116, 106, 488, 124, 132, 128, 132, 1257, 1410, 16906, 17282, 4456, 1306, 1157, 3615, 2974, 23170, 116, 106, 488, 124, 132, 128, 132, 1257, 14626, 1405, 1614, 1110, 12686, 8772, 6713, 28566, 106, 488, 124, 132, 129, 125, 1257, 1410, 7812, 7490, 26300, 6713, 28566, 106, 488, 124, 132, 129, 126, 1257, 8058, 14472, 1171, 1135, 15652, 7806, 24928, 6713, 28566, 106, 488, 124, 132, 129, 130, 1257, 14163, 185, 28400, 1347, 1104, 108, 6713, 28566, 106, 488, 124, 132, 130, 127, 1257, 1410, 1222, 12357, 1161, 1135, 5158, 2617, 6713, 28566, 106, 488, 124, 132, 130, 127, 1257, 1254, 25774, 1429, 6713, 28566, 106, 488, 124, 132, 130, 127, 1257, 6384, 24553, 6713, 28566, 106, 488, 124, 132, 130, 127, 1257, 1192, 1198, 6559, 1161, 1135, 7997, 1130, 6713, 28566, 106, 488, 124, 132, 130, 128, 1257, 6927, 186, 1867, 1263, 4814, 6713, 28566, 106, 488, 124, 132, 130, 128, 1257, 1410, 1248, 3093, 1161, 1135, 11063, 6713, 28566, 106, 488, 124, 132, 130, 129, 1257, 1410, 4173, 1620, 1161, 2499, 6021, 6713, 28566, 106, 488, 124, 132, 130, 129, 1257, 1410, 8772, 1161, 7345, 10649, 6713, 28566, 106, 488, 124, 132, 130, 129, 1257, 1410, 1198, 12730, 1161, 1135, 2460, 6828, 6713, 28566, 106, 488, 124, 132, 130, 130, 1257, 3318, 1105, 6713, 28566, 106, 488, 124, 132, 130, 130, 1257, 1248, 1205, 1731, 1824, 186, 6713, 28566, 106, 488, 124, 132, 130, 130, 1257, 1410, 17284, 1161, 1306, 3622, 3685, 6713, 28566, 106, 488, 124, 132, 130, 130, 1257, 13727, 1446, 1135, 7360, 2248, 29127, 10161, 172, 3615, 2974, 23170, 116, 106, 488, 124, 132, 130, 130, 1257, 1410, 11801, 15057, 6713, 28566, 106, 488, 124, 132, 130, 131, 1257, 1198, 1516, 3205, 176, 6713, 28566, 106, 488, 124, 132, 130, 132, 1257, 1192, 10649, 1147, 1135, 1410, 2078, 6713, 28566, 106, 488, 124, 132, 130, 132, 1257, 10273, 2941, 2322, 6713, 28566, 106, 488, 124, 132, 131, 123, 1257, 26117, 9846, 13727, 6713, 28566, 106, 488, 124, 132, 131, 123, 1257, 3318, 1105, 1808, 174, 1511, 6713, 28566, 106, 488, 124, 132, 131, 123, 1257, 1202, 2846, 13132, 1233, 5396, 1123, 7100, 1494, 6713, 28566, 106, 488, 124, 132, 131, 123, 1257, 8865, 2893, 3879, 6713, 28566, 106, 488, 124, 132, 131, 124, 1257, 5950, 2443, 1167, 23369, 13881, 6713, 28566, 106, 488, 124, 132, 131, 124, 1257, 14660, 1149, 11706, 6713, 28566, 106, 488, 124, 132, 131, 124, 1257, 2576, 13661, 1120, 1187, 12573, 1345, 6713, 28566, 106, 488, 124, 132, 131, 125, 1257, 1252, 1221, 1276, 1161, 6942, 6713, 28566, 106, 488, 124, 132, 131, 125, 1257, 5807, 173, 1876, 6713, 28566, 106, 488, 124, 132, 131, 125, 1257, 1643, 1233, 2562, 2247, 6713, 28566, 106, 488, 124, 132, 131, 125, 1257, 28051, 6713, 28566, 106, 488, 124, 132, 131, 125, 1257, 1209, 1119, 28422, 28261, 133, 4862, 1149, 2460, 30034, 1532, 6713, 28566, 106, 488, 124, 132, 131, 126, 1257, 8471, 185, 9836, 6713, 28566, 106, 488, 124, 132, 131, 126, 1257, 8415, 1575, 2172, 17921, 1707, 4234, 1121, 6713, 28566, 106, 488, 124, 132, 131, 126, 1257, 16515, 1317, 3293, 1197, 16065, 3023, 6713, 28566, 106, 488, 124, 132, 131, 127, 1257, 7524, 8408, 20728, 5182, 2525, 6713, 28566, 106, 488, 124, 132, 131, 127, 1257, 2631, 3288, 1744, 17617, 1988, 1324, 2631, 6713, 28566, 106, 488, 124, 132, 131, 127, 1257, 1643, 2544, 7348, 3981, 3351, 4384, 6713, 28566, 106, 488, 124, 132, 131, 128, 1257, 1198, 7363, 172, 6713, 28566, 106, 488, 124, 132, 131, 128, 1257, 1410, 1293, 4785, 1140, 1355, 2908, 1105, 1153, 6713, 28566, 106, 488, 124, 132, 131, 129, 1257, 16424, 1433, 12122, 1274, 6713, 28566, 106, 488, 124, 132, 131, 130, 1257, 1410, 6842, 1161, 13105, 1548, 7887, 6713, 28566, 106, 488, 124, 132, 131, 131, 1257, 488, 6713, 28566, 106, 488, 124, 132, 131, 131, 1257, 7311, 1265, 1190, 6713, 28566, 106, 488, 124, 132, 131, 132, 1257, 7020, 14284, 6713, 28566, 106, 488, 124, 132, 132, 124, 1257, 1410, 1293, 4347, 1104, 1161, 1325, 189, 1495, 6713, 28566, 106, 488, 124, 132, 132, 124, 1257, 1350, 1202, 9607, 1201, 108, 6713, 28566, 106, 488, 124, 132, 132, 125, 1257, 2168, 192, 6713, 28566, 106, 488, 124, 132, 132, 131, 1257, 1192, 10273, 15484, 1266, 5417, 3190, 1229, 6713, 28566, 106, 488, 125, 123, 123, 123, 1257, 21378, 1161, 1110, 24617, 1712, 6713, 28566, 106, 106, 157, 1416, 6897, 5702, 1167, 14321, 1430, 106, 106, 157, 1416, 6897, 5702, 106, 106, 153, 7775, 1430, 106, 106, 2439, 29806, 3330, 106, 106, 28870, 5825, 106, 106, 20634, 1167, 5474, 488, 106, 106, 8044, 1790, 1793, 8403, 106, 153, 3400, 1186, 2829, 488, 124, 132, 125, 124, 106, 153, 3400, 1188, 2482, 4524, 106, 31133, 1467, 1186, 3141, 488, 125, 123, 123, 131, 106, 31133, 1467, 1188, 488, 131, 129, 2165, 32001, 488, 106, 32000, 20036, 106, 150, 31459, 30627, 3161, 1463, 1151, 4950, 11299, 9204, 1238, 5696, 488, 125, 124, 119, 488, 124, 132, 125, 124, 1147, 2482, 4524, 1171, 12743, 1238, 7871, 488, 130, 119, 488, 125, 123, 123, 131, 121, 106, 106, 141, 180, 11114, 106, 106, 145, 6417, 11114, 106, 124, 132, 128, 124, 133, 8058, 14472, 1171, 1135, 15652, 7806, 24928, 6713, 28566, 106, 124, 132, 128, 130, 133, 1410, 10623, 17310, 1128, 1154, 10823, 6713, 161, 6446, 116, 106, 124, 132, 128, 132, 133, 1410, 16906, 17282, 4456, 1306, 1157, 6713, 161, 6446, 116, 106, 124, 132, 128, 132, 133, 14626, 1405, 1614, 1110, 12686, 8772, 6713, 28566, 106, 124, 132, 129, 125, 133, 1410, 7812, 7490, 26300, 6713, 28566, 106, 124, 132, 129, 126, 133, 8058, 14472, 1171, 1135, 15652, 7806, 24928, 6713, 28566, 106, 124, 132, 129, 130, 133, 14163, 185, 28400, 1347, 1104, 108, 6713, 28566, 106, 124, 132, 130, 127, 133, 1410, 1222, 12357, 1161, 1135, 5158, 2617, 6713, 28566, 106, 124, 132, 130, 127, 133, 1254, 25774, 1429, 6713, 28566, 106, 124, 132, 130, 127, 133, 6384, 24553, 6713, 28566, 106, 124, 132, 130, 127, 133, 1192, 1198, 6559, 1161, 1135, 7997, 1130, 6713, 28566, 106, 124, 132, 130, 128, 133, 6927, 186, 1867, 1263, 4814, 6713, 28566, 106, 124, 132, 130, 128, 133, 1410, 1248, 3093, 1161, 1135, 11063, 6713, 28566, 106, 124, 132, 130, 129, 133, 1410, 4173, 1620, 1161, 2499, 6021, 6713, 28566, 106, 124, 132, 130, 129, 133, 1410, 8772, 1161, 7345, 10649, 6713, 28566, 106, 124, 132, 130, 129, 133, 1410, 1198, 12730, 1161, 1135, 2460, 6828, 6713, 28566, 106, 124, 132, 130, 130, 133, 3318, 1105, 6713, 28566, 106, 124, 132, 130, 130, 133, 1248, 1205, 1731, 1824, 186, 6713, 28566, 106, 124, 132, 130, 130, 133, 1410, 17284, 1161, 1306, 3622, 3685, 6713, 28566, 106, 124, 132, 130, 130, 133, 13727, 1446, 1135, 7360, 2248, 29127, 10161, 172, 6713, 161, 6446, 116, 106, 124, 132, 130, 130, 133, 1410, 11801, 15057, 6713, 28566, 106, 124, 132, 130, 131, 133, 1198, 1516, 3205, 176, 6713, 28566, 106, 124, 132, 130, 132, 133, 1192, 10649, 1147, 1135, 1410, 2078, 6713, 28566, 106, 124, 132, 130, 132, 133, 10273, 2941, 2322, 6713, 28566, 106, 124, 132, 131, 123, 133, 26117, 9846, 13727, 6713, 28566, 106, 124, 132, 131, 123, 133, 3318, 1105, 1808, 174, 1511, 6713, 28566, 106, 124, 132, 131, 123, 133, 1202, 2846, 13132, 1233, 5396, 1123, 7100, 1494, 6713, 28566, 106, 124, 132, 131, 123, 133, 8865, 2893, 3879, 6713, 28566, 106, 124, 132, 131, 124, 133, 5950, 2443, 1171, 6291, 1142, 2194, 6713, 28566, 106, 124, 132, 131, 124, 133, 14660, 1149, 11706, 6713, 28566, 106, 124, 132, 131, 124, 133, 2576, 13661, 1120, 1187, 12573, 1345, 6713, 28566, 106, 124, 132, 131, 125, 133, 1252, 1221, 1276, 1161, 6942, 6713, 28566, 106, 124, 132, 131, 125, 133, 5807, 173, 1876, 6713, 28566, 106, 124, 132, 131, 125, 133, 1643, 1233, 2562, 2247, 6713, 28566, 106, 124, 132, 131, 125, 133, 28051, 6713, 28566, 106, 124, 132, 131, 125, 133, 1209, 1119, 28422, 28261, 133, 4862, 1149, 2460, 30034, 1532, 6713, 28566, 106, 124, 132, 131, 126, 133, 8471, 185, 9836, 6713, 28566, 106, 124, 132, 131, 126, 133, 8415, 1575, 2172, 17921, 1707, 4234, 1121, 6713, 28566, 106, 124, 132, 131, 126, 133, 16515, 1147, 1325, 7093, 2621, 6713, 28566, 106, 124, 132, 131, 127, 133, 7524, 8408, 196, 5182, 2525, 6713, 28566, 106, 124, 132, 131, 127, 133, 2631, 3288, 1744, 17617, 1988, 1324, 2631, 6713, 28566, 106, 124, 132, 131, 127, 133, 1643, 2544, 7348, 3981, 3351, 4384, 6713, 28566, 106, 124, 132, 131, 128, 133, 1198, 7363, 172, 6713, 28566, 106, 124, 132, 131, 128, 133, 1410, 1293, 4785, 1140, 1355, 2908, 1105, 1153, 6713, 28566, 106, 124, 132, 131, 129, 133, 16424, 1433, 12122, 1274, 6713, 28566, 106, 124, 132, 131, 130, 133, 1410, 6842, 1161, 13105, 1548, 7887, 6713, 28566, 106, 124, 132, 131, 131, 133, 6713, 28566, 106, 124, 132, 131, 131, 133, 7311, 1265, 1190, 6713, 28566, 106, 124, 132, 131, 132, 133, 7020, 14284, 6713, 28566, 106, 124, 132, 132, 124, 133, 1410, 1293, 4347, 1104, 1161, 1325, 189, 1495, 6713, 28566, 106, 124, 132, 132, 124, 133, 1350, 1202, 9607, 1201, 108, 6713, 28566, 106, 124, 132, 132, 125, 133, 2168, 192, 6713, 28566, 106, 124, 132, 132, 131, 133, 1192, 10273, 15484, 1266, 5417, 3190, 1229, 6713, 28566, 106, 125, 123, 123, 123, 133, 21378, 1161, 1110, 24617, 1712, 6713, 28566, 106, 106, 140, 5381, 1171, 14321, 1430, 106, 106, 140, 5381, 106, 106, 153, 7775, 1430, 106, 106, 159, 2486, 1575, 106, 106, 26722, 14520, 106, 106, 20634, 1171, 22874, 106, 106, 140, 16609, 11299, 106, 141, 2589, 1147, 5696, 488, 124, 132, 125, 124, 106, 141, 2589, 1147, 2482, 4524, 106, 143, 2295, 1147, 7871, 488, 125, 123, 123, 131, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 131, 129, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 150, 31459, 30627, 3161, 1463, 1151, 4950, 11299, 9204, 1238, 5696, 488, 125, 124, 119, 488, 124, 132, 125, 124, 1147, 2482, 4524, 1171, 12743, 1238, 7871, 488, 130, 119, 488, 125, 123, 123, 131, 121, 106, 106, 141, 180, 11114, 106, 106, 145, 6417, 11114, 106, 124, 132, 128, 124, 133, 8058, 14472, 1171, 1135, 15652, 7806, 24928, 6713, 28566, 106, 124, 132, 128, 130, 133, 1410, 10623, 17310, 1128, 1154, 10823, 6713, 161, 6446, 116, 106, 124, 132, 128, 132, 133, 1410, 16906, 17282, 4456, 1306, 1157, 6713, 161, 6446, 116, 106, 124, 132, 128, 132, 133, 14626, 1405, 1614, 1110, 12686, 8772, 6713, 28566, 106, 124, 132, 129, 125, 133, 1410, 7812, 7490, 26300, 6713, 28566, 106, 124, 132, 129, 126, 133, 8058, 14472, 1171, 1135, 15652, 7806, 24928, 6713, 28566, 106, 124, 132, 129, 130, 133, 14163, 185, 28400, 1347, 1104, 108, 6713, 28566, 106, 124, 132, 130, 127, 133, 1410, 1222, 12357, 1161, 1135, 5158, 2617, 6713, 28566, 106, 124, 132, 130, 127, 133, 1254, 25774, 1429, 6713, 28566, 106, 124, 132, 130, 127, 133, 6384, 24553, 6713, 28566, 106, 124, 132, 130, 127, 133, 1192, 1198, 6559, 1161, 1135, 7997, 1130, 6713, 28566, 106, 124, 132, 130, 128, 133, 6927, 186, 1867, 1263, 4814, 6713, 28566, 106, 124, 132, 130, 128, 133, 1410, 1248, 3093, 1161, 1135, 11063, 6713, 28566, 106, 124, 132, 130, 129, 133, 1410, 4173, 1620, 1161, 2499, 6021, 6713, 28566, 106, 124, 132, 130, 129, 133, 1410, 8772, 1161, 7345, 10649, 6713, 28566, 106, 124, 132, 130, 129, 133, 1410, 1198, 12730, 1161, 1135, 2460, 6828, 6713, 28566, 106, 124, 132, 130, 130, 133, 3318, 1105, 6713, 28566, 106, 124, 132, 130, 130, 133, 1248, 1205, 1731, 1824, 186, 6713, 28566, 106, 124, 132, 130, 130, 133, 1410, 17284, 1161, 1306, 3622, 3685, 6713, 28566, 106, 124, 132, 130, 130, 133, 13727, 1446, 1135, 7360, 2248, 29127, 10161, 172, 6713, 161, 6446, 116, 106, 124, 132, 130, 130, 133, 1410, 11801, 15057, 6713, 28566, 106, 124, 132, 130, 131, 133, 1198, 1516, 3205, 176, 6713, 28566, 106, 124, 132, 130, 132, 133, 1192, 10649, 1147, 1135, 1410, 2078, 6713, 28566, 106, 124, 132, 130, 132, 133, 10273, 2941, 2322, 6713, 28566, 106, 124, 132, 131, 123, 133, 26117, 9846, 13727, 6713, 28566, 106, 124, 132, 131, 123, 133, 3318, 1105, 1808, 174, 1511, 6713, 28566, 106, 124, 132, 131, 123, 133, 1202, 2846, 13132, 1233, 5396, 1123, 7100, 1494, 6713, 28566, 106, 124, 132, 131, 123, 133, 8865, 2893, 3879, 6713, 28566, 106, 124, 132, 131, 124, 133, 5950, 2443, 1171, 6291, 1142, 2194, 6713, 28566, 106, 124, 132, 131, 124, 133, 14660, 1149, 11706, 6713, 28566, 106, 124, 132, 131, 124, 133, 2576, 13661, 1120, 1187, 12573, 1345, 6713, 28566, 106, 124, 132, 131, 125, 133, 1252, 1221, 1276, 1161, 6942, 6713, 28566, 106, 124, 132, 131, 125, 133, 5807, 173, 1876, 6713, 28566, 106, 124, 132, 131, 125, 133, 1643, 1233, 2562, 2247, 6713, 28566, 106, 124, 132, 131, 125, 133, 28051, 6713, 28566, 106, 124, 132, 131, 125, 133, 1209, 1119, 28422, 28261, 133, 4862, 1149, 2460, 30034, 1532, 6713, 28566, 106, 124, 132, 131, 126, 133, 8471, 185, 9836, 6713, 28566, 106, 124, 132, 131, 126, 133, 8415, 1575, 2172, 17921, 1707, 4234, 1121, 6713, 28566, 106, 124, 132, 131, 126, 133, 16515, 1147, 1325, 7093, 2621, 6713, 28566, 106, 124, 132, 131, 127, 133, 7524, 8408, 196, 5182, 2525, 6713, 28566, 106, 124, 132, 131, 127, 133, 2631, 3288, 1744, 17617, 1988, 1324, 2631, 6713, 28566, 106, 124, 132, 131, 127, 133, 1643, 2544, 7348, 3981, 3351, 4384, 6713, 28566, 106, 124, 132, 131, 128, 133, 1198, 7363, 172, 6713, 28566, 106, 124, 132, 131, 128, 133, 1410, 1293, 4785, 1140, 1355, 2908, 1105, 1153, 6713, 28566, 106, 124, 132, 131, 129, 133, 16424, 1433, 12122, 1274, 6713, 28566, 106, 124, 132, 131, 130, 133, 1410, 6842, 1161, 13105, 1548, 7887, 6713, 28566, 106, 124, 132, 131, 131, 133, 6713, 28566, 106, 124, 132, 131, 131, 133, 7311, 1265, 1190, 6713, 28566, 106, 124, 132, 131, 132, 133, 7020, 14284, 6713, 28566, 106, 124, 132, 132, 124, 133, 1410, 1293, 4347, 1104, 1161, 1325, 189, 1495, 6713, 28566, 106, 124, 132, 132, 124, 133, 1350, 1202, 9607, 1201, 108, 6713, 28566, 106, 124, 132, 132, 125, 133, 2168, 192, 6713, 28566, 106, 124, 132, 132, 131, 133, 1192, 10273, 15484, 1266, 5417, 3190, 1229, 6713, 28566, 106, 125, 123, 123, 123, 133, 21378, 1161, 1110, 24617, 1712, 6713, 28566, 106, 106, 140, 5381, 1171, 14321, 1430, 106, 106, 140, 5381, 106, 106, 153, 7775, 1430, 106, 106, 159, 2486, 1575, 106, 106, 26722, 14520, 106, 106, 20634, 1171, 22874, 106, 106, 140, 16609, 11299, 106, 141, 2589, 1147, 5696, 488, 124, 132, 125, 124, 106, 141, 2589, 1147, 2482, 4524, 106, 143, 2295, 1147, 7871, 488, 125, 123, 123, 131, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 131, 129, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 24338, 1142, 1869, 14173, 15293, 3004, 1140, 1239, 1110, 2168, 1109, 18553, 2323, 6180, 2430, 1107, 4669, 8271, 1147, 14318, 23281, 3676, 1239, 5388, 1226, 2067, 1870, 1238, 12676, 2918, 1171, 14695, 14791, 2604, 3894, 1147, 1135, 23763, 1386, 5299, 25656, 121, 3676, 1239, 1110, 21495, 1355, 1135, 4017, 1161, 28666, 10221, 9467, 1346, 1171, 10283, 1161, 1135, 4950, 9756, 1161, 4189, 2430, 2996, 6767, 4533, 1602, 2023, 21302, 5057, 1674, 197, 1457, 106, 106, 141, 180, 11114, 1918, 1142, 1869, 15293, 3004, 1140, 1463, 9204, 1171, 13287, 1147, 2168, 1109, 18553, 1171, 29020, 1193, 2181, 16710, 1118, 3074, 1156, 1449, 2067, 10886, 1163, 30257, 2067, 5490, 1346, 2293, 18850, 1110, 1138, 22781, 1361, 10375, 1147, 6180, 11114, 1446, 5260, 152, 3312, 4017, 1147, 488, 124, 132, 131, 127, 121, 3676, 12142, 2067, 9702, 1361, 1171, 11622, 1132, 20563, 1147, 6180, 11114, 1147, 488, 124, 132, 132, 123, 1355, 26098, 5011, 4017, 121, 6767, 1181, 11323, 14810, 1238, 13679, 24457, 13611, 1171, 17273, 13289, 12769, 1147, 1135, 24986, 1386, 5299, 25656, 121, 3676, 1602, 2023, 15851, 1355, 1135, 4017, 1161, 28666, 10221, 15486, 3976, 488, 124, 132, 132, 131, 121, 106, 106, 10488, 15293, 3004, 1140, 1361, 4533, 25596, 1238, 5491, 12676, 3234, 1149, 1171, 2019, 2604, 5422, 7426, 1147, 1135, 23763, 1386, 5299, 25656, 121, 3676, 11569, 1135, 20512, 2910, 1135, 21907, 1147, 1413, 5457, 1171, 1135, 14695, 14791, 1161, 1135, 20313, 4691, 1310, 14791, 2293, 4746, 20313, 4691, 1310, 14695, 14791, 12003, 9283, 11982, 4810, 3655, 1758, 1239, 1704, 1161, 1135, 8127, 6863, 1239, 22595, 1427, 1163, 1329, 1446, 1135, 2455, 4364, 21043, 1292, 1959, 19973, 1238, 14695, 488, 8117, 2669, 1502, 1431, 1220, 12348, 1108, 1449, 2017, 17981, 2536, 1296, 7620, 7534, 1113, 1896, 7653, 9644, 6099, 106, 106, 147, 1107, 8603, 1239, 1163, 4756, 1135, 5897, 1161, 14695, 14791, 1147, 12676, 25773, 1296, 1135, 14695, 14791, 1147, 1135, 23763, 1386, 5299, 25656, 1602, 3259, 31004, 2095, 3108, 1147, 1135, 18246, 1310, 121, 3676, 25596, 1238, 16557, 1355, 6062, 2726, 1597, 1783, 2113, 119, 1171, 2712, 1217, 1132, 27081, 1457, 6767, 4533, 8436, 5491, 12676, 9667, 1296, 2632, 1296, 3564, 27018, 25960, 4012, 1219, 27054, 1446, 488, 124, 132, 123, 128, 1163, 488, 125, 123, 125, 123, 1226, 2067, 14695, 14791, 2863, 2305, 106, 106, 1428, 488, 125, 123, 125, 125, 119, 2293, 15098, 7932, 4361, 1110, 8828, 11806, 2267, 1302, 14695, 14791, 2055, 4352, 2023, 1161, 2536, 4768, 20062, 1171, 1302, 2019, 15392, 4145, 1463, 3120, 17312, 2095, 18807, 121, 1410, 14617, 1226, 1413, 15392, 4145, 1171, 2019, 9712, 1393, 1375, 1135, 2994, 1296, 1147, 1135, 24986, 1386, 5299, 25656, 119, 1324, 1135, 16645, 11323, 1161, 28731, 11982, 190, 31425, 1135, 14791, 9668, 6928, 1707, 1393, 4277, 8265, 1163, 2019, 1127, 6932, 2241, 106, 106, 147, 1107, 21093, 1161, 1758, 2293, 1239, 1704, 1161, 1135, 4767, 1285, 6971, 1135, 1147, 488, 125, 123, 124, 123, 9541, 119, 7098, 8271, 1135, 8806, 1163, 11362, 1104, 2075, 1135, 3573, 1161, 2367, 176, 1121, 13395, 1135, 12676, 18470, 1171, 1135, 3660, 6762, 1324, 1135, 10731, 2430, 2305, 106, 106, 22306, 7836, 1160, 15293, 3004, 1140, 1239, 1736, 9037, 1491, 1161, 1135, 18116, 3796, 12358, 1238, 20313, 4691, 1310, 8513, 4289, 142, 1868, 116, 10736, 2957, 1238, 14695, 14791, 16296, 1171, 12676, 1147, 20313, 4691, 1310, 2036, 3676, 1239, 1959, 1736, 6122, 1217, 1226, 1135, 5055, 28062, 8513, 20068, 1361, 3346, 1124, 28062, 1202, 21449, 3894, 1459, 13616, 121, 15293, 3004, 1140, 1602, 1959, 11462, 1238, 1135, 4966, 8513, 9404, 1497, 5729, 1104, 1238, 5271, 15879, 13048, 1147, 20313, 4691, 22162, 1171, 1135, 18827, 1350, 1159, 3100, 1296, 2632, 1296, 1238, 15083, 1226, 21780, 8271, 13679, 24457, 9679, 9728, 8292, 14901, 1297, 106, 106, 30559, 1602, 2023, 1110, 6644, 1161, 1135, 4950, 15567, 1161, 11384, 1171, 10850, 3976, 488, 125, 123, 125, 124, 121, 106, 106, 30559, 1463, 21247, 10283, 1161, 1135, 4950, 9756, 1161, 4189, 2430, 1201, 1147, 488, 125, 123, 125, 125, 121, 106, 106, 22081, 1430, 1918, 1142, 1869, 15293, 3004, 1140, 1239, 1135, 4767, 1161, 2060, 488, 129, 123, 15879, 14819, 3813, 133, 106, 106, 20634, 1171, 22874, 106, 106, 26722, 14520, 106, 106, 24338, 1142, 1869, 15293, 3004, 3561, 1238, 1135, 1405, 5293, 140, 4189, 11114, 8729, 4877, 106, 106, 140, 16609, 12676, 30484, 12684, 1366, 6180, 2430, 1107, 15632, 1161, 1135, 4950, 15567, 1161, 11384, 1171, 10850, 2068, 3109, 172, 1161, 5260, 152, 3312, 4017, 18142, 1355, 1135, 4017, 1161, 28666, 10221, 15486, 488, 125, 124, 1243, 25128, 4532, 6180, 2430, 1107, 106, 106, 2853, 1109, 18553, 2323, 6180, 2430, 1107, 12684, 1366, 12676, 30484, 32001, 488, 106, 32000, 20036, 106, 24338, 1142, 1869, 14173, 15293, 3004, 1140, 1299, 1318, 6431, 12987, 1367, 1109, 18553, 3556, 19174, 1186, 14318, 4058, 121, 3450, 1299, 17874, 1256, 1909, 5031, 1300, 1170, 8038, 15232, 1167, 1158, 2604, 4053, 1125, 1158, 17866, 1125, 4592, 1313, 4428, 2035, 1120, 1479, 1450, 1335, 5108, 3450, 1299, 21794, 1278, 1188, 21455, 1125, 7892, 1214, 1188, 10221, 15486, 1167, 12752, 1125, 6389, 16609, 9756, 1161, 4189, 2430, 2996, 14301, 12339, 1508, 17836, 1462, 1473, 1215, 3171, 31929, 106, 106, 141, 11741, 1918, 1142, 1869, 15293, 3004, 1140, 1139, 6146, 1167, 2511, 1123, 1188, 2168, 1109, 1348, 8687, 7224, 1383, 1193, 2181, 13802, 16354, 19978, 1125, 1561, 10023, 1357, 1282, 1535, 18322, 1313, 1909, 22589, 1346, 2399, 18764, 1189, 1138, 2120, 1132, 24666, 1128, 1186, 6431, 4134, 1125, 21455, 5260, 152, 3312, 1186, 488, 124, 132, 131, 127, 121, 3450, 4212, 1594, 9702, 2648, 21635, 1594, 11622, 1128, 1186, 6431, 4134, 1186, 488, 124, 132, 132, 123, 1188, 15714, 22698, 1125, 14097, 8445, 2181, 6280, 21203, 4665, 1300, 1158, 13611, 13679, 4528, 1167, 1170, 12769, 1125, 11123, 17273, 1313, 4428, 2035, 1120, 1479, 1450, 8030, 121, 3450, 19353, 1188, 21455, 1125, 7892, 1214, 1188, 10221, 15486, 2757, 488, 124, 132, 132, 131, 121, 106, 106, 6535, 193, 1541, 1808, 12339, 1125, 15293, 3004, 1140, 23189, 1300, 1158, 1644, 1819, 2651, 1227, 14318, 14610, 1167, 1909, 2604, 5422, 1186, 6564, 3977, 1125, 4428, 2035, 1120, 1479, 1450, 1335, 5108, 3450, 22589, 1214, 1207, 20512, 1835, 1282, 1128, 10863, 1450, 1313, 1816, 6233, 1167, 1158, 17866, 1125, 4592, 1125, 1158, 5962, 1134, 1439, 1151, 191, 4691, 17285, 1643, 17866, 1125, 4592, 1125, 23879, 191, 4691, 1960, 2856, 1125, 15991, 1282, 22027, 1197, 10266, 1285, 1440, 1357, 1299, 6113, 1197, 7453, 1215, 6640, 25611, 1299, 5192, 1303, 2079, 1362, 6696, 1227, 2455, 4364, 1548, 1498, 25024, 9462, 2445, 1125, 1158, 17866, 1125, 29412, 1197, 2669, 1502, 1183, 1234, 13010, 1234, 6349, 1215, 5610, 12296, 1856, 1207, 1618, 1210, 2707, 2487, 1207, 9644, 1429, 1508, 1186, 15516, 121, 106, 106, 158, 1105, 9757, 1299, 1125, 6621, 1594, 6315, 1313, 1170, 8038, 15232, 119, 1158, 17866, 1125, 4592, 1125, 4428, 2035, 1120, 1479, 1450, 7758, 2551, 17594, 1382, 1207, 9359, 27182, 1309, 4142, 1125, 31773, 174, 17285, 3450, 1281, 1892, 2214, 1300, 13488, 2535, 1571, 10287, 10373, 3362, 1396, 13476, 1597, 1783, 3858, 1167, 18817, 5907, 14301, 12339, 5925, 22471, 1197, 9744, 25903, 5549, 1541, 2442, 1309, 1197, 14573, 1125, 2802, 1304, 25737, 1188, 3828, 28130, 119, 1125, 488, 124, 132, 123, 128, 1188, 488, 125, 123, 125, 123, 1256, 1594, 11666, 1300, 1158, 17866, 1125, 1127, 1657, 106, 106, 1686, 488, 125, 123, 125, 125, 119, 2399, 1736, 3130, 3491, 1214, 1189, 3477, 17654, 1199, 1309, 4550, 1158, 17866, 1125, 4592, 23210, 1913, 2519, 2072, 11231, 1754, 18742, 1167, 1309, 1561, 1131, 14504, 1110, 1913, 3713, 1408, 4188, 1980, 179, 3379, 3858, 3041, 1808, 8852, 1125, 1816, 1131, 14504, 1167, 1561, 12482, 1348, 1288, 1508, 1382, 1207, 9359, 1309, 1313, 4428, 2035, 1120, 1479, 1450, 8030, 119, 1469, 1856, 8708, 25374, 1189, 10266, 1408, 6525, 1357, 7457, 14333, 244, 1158, 17866, 2079, 1197, 9355, 1408, 11531, 1346, 8946, 15365, 1561, 1131, 1105, 7017, 106, 106, 158, 1105, 5509, 2487, 2399, 1299, 14765, 1197, 1574, 1766, 1346, 14882, 1186, 488, 125, 123, 124, 123, 1170, 3248, 1227, 4394, 1125, 1282, 119, 17836, 1462, 1199, 16371, 1249, 1125, 26850, 1256, 5530, 4868, 1170, 6468, 1125, 1158, 29110, 16499, 1158, 3060, 1227, 14318, 2442, 1309, 1170, 12441, 10562, 244, 1188, 1282, 5905, 4134, 121, 106, 106, 14421, 3192, 15293, 3004, 1140, 1299, 1736, 14161, 1234, 9438, 1227, 3274, 5147, 29009, 1227, 13490, 11246, 1125, 1158, 3370, 1151, 191, 4691, 1960, 4289, 142, 1868, 116, 1300, 1207, 7619, 1167, 1170, 14318, 1125, 1158, 17866, 1125, 4592, 1186, 20313, 4691, 17285, 3450, 1299, 2445, 15098, 1312, 22402, 1125, 17289, 13616, 1300, 1158, 3504, 1120, 8219, 1227, 14318, 1881, 1369, 1227, 20068, 14610, 1125, 3370, 1300, 1170, 4482, 6093, 15293, 3004, 1140, 1110, 2445, 1995, 1603, 244, 1571, 1218, 1837, 1227, 4921, 3781, 1125, 12339, 1300, 1207, 5211, 1837, 16398, 27800, 1186, 20313, 4691, 1960, 1167, 1313, 1282, 31383, 6801, 2442, 1309, 1300, 1207, 10904, 1125, 21780, 2651, 1256, 1207, 10586, 9187, 1125, 7671, 1188, 5662, 1125, 1714, 1112, 13679, 1550, 12041, 106, 106, 15539, 1299, 6711, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 2757, 488, 125, 123, 125, 124, 121, 106, 106, 15539, 1299, 2873, 1277, 12752, 1125, 6389, 16609, 9756, 1161, 4189, 2430, 1201, 1186, 488, 125, 123, 125, 125, 121, 106, 106, 22081, 1430, 1918, 1142, 1869, 15293, 3004, 1140, 1299, 24858, 5578, 1125, 1408, 1125, 488, 129, 123, 14819, 16398, 2487, 1257, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 24338, 1142, 1869, 15293, 3004, 3561, 1300, 1170, 1865, 5488, 1227, 5927, 1125, 6431, 4134, 1125, 1282, 160, 5293, 140, 106, 106, 2809, 1195, 1128, 12671, 13900, 26314, 6431, 12987, 31128, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 2605, 3898, 2009, 1125, 21455, 5260, 152, 3312, 7246, 3402, 1278, 1188, 15714, 1125, 7892, 1214, 1188, 10221, 15486, 17367, 12987, 1227, 12136, 25525, 6298, 106, 106, 146, 244, 12987, 1367, 1109, 18553, 3556, 26314, 14318, 12671, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 24338, 1142, 1869, 14173, 15293, 3004, 1140, 1299, 1318, 6431, 12987, 1367, 1109, 18553, 3556, 19174, 1186, 14318, 4058, 121, 3450, 1299, 17874, 1256, 1909, 5031, 1300, 1170, 8038, 15232, 1167, 1158, 2604, 4053, 1125, 1158, 17866, 1125, 4592, 1313, 4428, 2035, 1120, 1479, 1450, 1335, 5108, 3450, 1299, 21794, 1278, 1188, 21455, 1125, 7892, 1214, 1188, 10221, 15486, 1167, 12752, 1125, 6389, 16609, 9756, 1161, 4189, 2430, 2996, 14301, 12339, 1508, 17836, 1462, 1473, 1215, 3171, 31929, 106, 106, 141, 11741, 1918, 1142, 1869, 15293, 3004, 1140, 1139, 6146, 1167, 2511, 1123, 1188, 2168, 1109, 1348, 8687, 7224, 1383, 1193, 2181, 13802, 16354, 19978, 1125, 1561, 10023, 1357, 1282, 1535, 18322, 1313, 1909, 22589, 1346, 2399, 18764, 1189, 1138, 2120, 1132, 24666, 1128, 1186, 6431, 4134, 1125, 21455, 5260, 152, 3312, 1186, 488, 124, 132, 131, 127, 121, 3450, 4212, 1594, 9702, 2648, 21635, 1594, 11622, 1128, 1186, 6431, 4134, 1186, 488, 124, 132, 132, 123, 1188, 15714, 22698, 1125, 14097, 8445, 2181, 6280, 21203, 4665, 1300, 1158, 13611, 13679, 4528, 1167, 1170, 12769, 1125, 11123, 17273, 1313, 4428, 2035, 1120, 1479, 1450, 8030, 121, 3450, 19353, 1188, 21455, 1125, 7892, 1214, 1188, 10221, 15486, 2757, 488, 124, 132, 132, 131, 121, 106, 106, 6535, 193, 1541, 1808, 12339, 1125, 15293, 3004, 1140, 23189, 1300, 1158, 1644, 1819, 2651, 1227, 14318, 14610, 1167, 1909, 2604, 5422, 1186, 6564, 3977, 1125, 4428, 2035, 1120, 1479, 1450, 1335, 5108, 3450, 22589, 1214, 1207, 20512, 1835, 1282, 1128, 10863, 1450, 1313, 1816, 6233, 1167, 1158, 17866, 1125, 4592, 1125, 1158, 5962, 1134, 1439, 1151, 191, 4691, 17285, 1643, 17866, 1125, 4592, 1125, 23879, 191, 4691, 1960, 2856, 1125, 15991, 1282, 22027, 1197, 10266, 1285, 1440, 1357, 1299, 6113, 1197, 7453, 1215, 6640, 25611, 1299, 5192, 1303, 2079, 1362, 6696, 1227, 2455, 4364, 1548, 1498, 25024, 9462, 2445, 1125, 1158, 17866, 1125, 29412, 1197, 2669, 1502, 1183, 1234, 13010, 1234, 6349, 1215, 5610, 12296, 1856, 1207, 1618, 1210, 2707, 2487, 1207, 9644, 1429, 1508, 1186, 15516, 121, 106, 106, 158, 1105, 9757, 1299, 1125, 6621, 1594, 6315, 1313, 1170, 8038, 15232, 119, 1158, 17866, 1125, 4592, 1125, 4428, 2035, 1120, 1479, 1450, 7758, 2551, 17594, 1382, 1207, 9359, 27182, 1309, 4142, 1125, 31773, 174, 17285, 3450, 1281, 1892, 2214, 1300, 13488, 2535, 1571, 10287, 10373, 3362, 1396, 13476, 1597, 1783, 3858, 1167, 18817, 5907, 14301, 12339, 5925, 22471, 1197, 9744, 25903, 5549, 1541, 2442, 1309, 1197, 14573, 1125, 2802, 1304, 25737, 1188, 3828, 28130, 119, 1125, 488, 124, 132, 123, 128, 1188, 488, 125, 123, 125, 123, 1256, 1594, 11666, 1300, 1158, 17866, 1125, 1127, 1657, 106, 106, 1686, 488, 125, 123, 125, 125, 119, 2399, 1736, 3130, 3491, 1214, 1189, 3477, 17654, 1199, 1309, 4550, 1158, 17866, 1125, 4592, 23210, 1913, 2519, 2072, 11231, 1754, 18742, 1167, 1309, 1561, 1131, 14504, 1110, 1913, 3713, 1408, 4188, 1980, 179, 3379, 3858, 3041, 1808, 8852, 1125, 1816, 1131, 14504, 1167, 1561, 12482, 1348, 1288, 1508, 1382, 1207, 9359, 1309, 1313, 4428, 2035, 1120, 1479, 1450, 8030, 119, 1469, 1856, 8708, 25374, 1189, 10266, 1408, 6525, 1357, 7457, 14333, 244, 1158, 17866, 2079, 1197, 9355, 1408, 11531, 1346, 8946, 15365, 1561, 1131, 1105, 7017, 106, 106, 158, 1105, 5509, 2487, 2399, 1299, 14765, 1197, 1574, 1766, 1346, 14882, 1186, 488, 125, 123, 124, 123, 1170, 3248, 1227, 4394, 1125, 1282, 119, 17836, 1462, 1199, 16371, 1249, 1125, 26850, 1256, 5530, 4868, 1170, 6468, 1125, 1158, 29110, 16499, 1158, 3060, 1227, 14318, 2442, 1309, 1170, 12441, 10562, 244, 1188, 1282, 5905, 4134, 121, 106, 106, 14421, 3192, 15293, 3004, 1140, 1299, 1736, 14161, 1234, 9438, 1227, 3274, 5147, 29009, 1227, 13490, 11246, 1125, 1158, 3370, 1151, 191, 4691, 1960, 4289, 142, 1868, 116, 1300, 1207, 7619, 1167, 1170, 14318, 1125, 1158, 17866, 1125, 4592, 1186, 20313, 4691, 17285, 3450, 1299, 2445, 15098, 1312, 22402, 1125, 17289, 13616, 1300, 1158, 3504, 1120, 8219, 1227, 14318, 1881, 1369, 1227, 20068, 14610, 1125, 3370, 1300, 1170, 4482, 6093, 15293, 3004, 1140, 1110, 2445, 1995, 1603, 244, 1571, 1218, 1837, 1227, 4921, 3781, 1125, 12339, 1300, 1207, 5211, 1837, 16398, 27800, 1186, 20313, 4691, 1960, 1167, 1313, 1282, 31383, 6801, 2442, 1309, 1300, 1207, 10904, 1125, 21780, 2651, 1256, 1207, 10586, 9187, 1125, 7671, 1188, 5662, 1125, 1714, 1112, 13679, 1550, 12041, 106, 106, 15539, 1299, 6711, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 2757, 488, 125, 123, 125, 124, 121, 106, 106, 15539, 1299, 2873, 1277, 12752, 1125, 6389, 16609, 9756, 1161, 4189, 2430, 1201, 1186, 488, 125, 123, 125, 125, 121, 106, 106, 22081, 1430, 1918, 1142, 1869, 15293, 3004, 1140, 1299, 24858, 5578, 1125, 1408, 1125, 488, 129, 123, 14819, 16398, 2487, 1257, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 24338, 1142, 1869, 15293, 3004, 3561, 1300, 1170, 1865, 5488, 1227, 5927, 1125, 6431, 4134, 1125, 1282, 160, 5293, 140, 106, 106, 2809, 1195, 1128, 12671, 13900, 26314, 6431, 12987, 31128, 1125, 31805, 13900, 1197, 12594, 1167, 1197, 11733, 2605, 3898, 2009, 1125, 21455, 5260, 152, 3312, 7246, 3402, 1278, 1188, 15714, 1125, 7892, 1214, 1188, 10221, 15486, 17367, 12987, 1227, 12136, 25525, 6298, 106, 106, 146, 244, 12987, 1367, 1109, 18553, 3556, 26314, 14318, 12671, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 13897, 488, 125, 1239, 1135, 488, 132, 1276, 16794, 1161, 1135, 9197, 22615, 7711, 2423, 10041, 27470, 121, 106, 106, 1598, 2423, 3772, 1161, 1135, 22615, 27470, 6547, 20809, 2874, 1157, 9197, 14596, 21867, 2127, 2197, 8520, 1161, 6402, 30507, 5878, 1285, 9096, 1110, 6446, 1161, 20809, 3440, 1963, 15792, 3545, 1135, 7711, 25972, 106, 106, 1598, 1940, 2320, 1147, 2483, 2957, 8647, 1226, 9853, 1163, 13897, 488, 124, 1147, 1135, 3602, 21326, 2884, 1135, 2977, 2197, 8365, 1147, 2483, 2957, 4934, 1169, 4487, 1162, 1163, 1135, 17567, 10041, 119, 1171, 1135, 8314, 179, 2320, 1147, 2483, 2957, 4918, 9085, 1147, 1135, 4966, 11043, 5121, 2708, 1483, 1355, 1135, 2283, 1161, 1135, 25972, 106, 106, 1428, 1135, 5727, 21326, 1200, 3843, 142, 20750, 1171, 1248, 1451, 197, 23432, 2025, 1169, 4487, 1589, 2470, 1622, 7591, 1147, 1135, 2977, 2197, 8365, 1147, 1135, 1940, 10041, 121, 5763, 2104, 1183, 29145, 178, 1404, 1252, 7440, 13054, 1266, 16784, 4148, 2624, 1173, 7440, 1171, 1350, 15113, 19104, 18850, 1135, 2626, 1163, 2489, 1147, 1413, 27470, 1449, 16403, 1135, 4966, 11043, 5121, 2708, 1483, 2489, 2869, 1297, 14673, 13054, 1171, 28152, 3281, 4853, 21010, 13085, 1163, 7277, 1147, 3545, 1135, 4966, 11043, 5121, 2708, 1483, 121, 106, 106, 3466, 5696, 488, 124, 125, 119, 488, 125, 123, 125, 123, 119, 1135, 12621, 1463, 18115, 1156, 1449, 1135, 9197, 17295, 22279, 1162, 5404, 1163, 1135, 10274, 124, 132, 17743, 121, 1410, 12621, 1463, 8405, 1477, 5098, 19132, 1238, 6674, 488, 124, 129, 119, 488, 125, 123, 125, 123, 134, 11178, 1972, 2025, 14452, 4558, 1238, 1135, 30872, 5026, 2149, 1161, 4153, 13196, 10628, 3605, 1161, 15792, 2489, 3078, 1410, 14045, 5783, 1463, 1375, 21302, 134, 1135, 4966, 11043, 5121, 2708, 1483, 1463, 1116, 1336, 2128, 119, 1171, 1135, 11748, 1622, 7591, 1147, 1135, 8314, 179, 2320, 1147, 2483, 2957, 2025, 12901, 1147, 1135, 10041, 121, 106, 106, 2951, 8100, 1701, 106, 27166, 14063, 2704, 1135, 20809, 2874, 1157, 11748, 22997, 1163, 30241, 1147, 1135, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 27470, 121, 3842, 4667, 1135, 5878, 15474, 1346, 5878, 15418, 4012, 1346, 2977, 9853, 1976, 1163, 1413, 10041, 119, 5727, 6062, 11178, 2064, 1290, 18108, 15474, 1346, 1171, 1789, 5027, 10585, 12806, 4657, 16691, 13160, 1463, 20933, 2127, 1545, 1105, 1105, 29305, 2323, 1293, 146, 9983, 1147, 6384, 488, 125, 123, 124, 132, 1171, 11744, 9681, 2019, 25200, 106, 106, 1598, 27470, 11395, 1161, 2197, 8520, 1161, 6402, 30507, 3390, 1297, 106, 6251, 11689, 1274, 106, 106, 12606, 1161, 14596, 1147, 6506, 1192, 106, 106, 12606, 1161, 14596, 1147, 6506, 1233, 106, 106, 2700, 31149, 106, 106, 2003, 1265, 1972, 106, 1598, 11178, 1149, 1239, 22812, 3068, 1135, 3602, 2151, 2935, 133, 3337, 4153, 1226, 1110, 1144, 2982, 1704, 2151, 1226, 1110, 7264, 119, 1171, 1579, 4153, 1226, 1110, 7974, 1297, 106, 106, 159, 1214, 8978, 1201, 2629, 1147, 2464, 1161, 29154, 11178, 1972, 133, 4153, 1446, 15792, 2910, 29154, 14596, 134, 8603, 9614, 1446, 15792, 2910, 29154, 14596, 134, 3983, 8603, 9614, 1147, 1543, 15792, 9273, 1147, 1135, 27470, 134, 3983, 2149, 1161, 15083, 22568, 1147, 1543, 15792, 9273, 1147, 1135, 27470, 134, 1147, 2464, 1161, 1110, 1624, 1111, 2620, 1151, 7119, 3904, 1583, 1280, 9273, 1238, 12312, 5663, 7435, 1324, 1135, 19943, 1161, 1110, 27548, 11777, 8876, 106, 106, 25896, 106, 106, 3732, 3067, 10370, 5067, 106, 106, 2003, 22218, 106, 106, 157, 2268, 1149, 7524, 2203, 106, 2330, 1916, 13336, 16096, 1201, 106, 106, 157, 2268, 1149, 7524, 2203, 106, 106, 140, 14079, 15083, 1466, 3904, 2375, 106, 5318, 5102, 13601, 1135, 2149, 1161, 15083, 22568, 1238, 2483, 3904, 2375, 1226, 6506, 7747, 106, 106, 5318, 5102, 13601, 1135, 2149, 1161, 15083, 22568, 1238, 2483, 3904, 2375, 1226, 6506, 10882, 106, 106, 9748, 1694, 1121, 1201, 106, 8967, 133, 5696, 488, 132, 119, 488, 125, 123, 125, 123, 1175, 8928, 11178, 1972, 116, 106, 106, 158, 3249, 133, 106, 9748, 1694, 1121, 1201, 1175, 5475, 1192, 116, 1238, 13320, 2469, 18700, 1109, 4877, 106, 9748, 1694, 1121, 1201, 1175, 5475, 1233, 116, 1238, 13320, 2469, 18700, 1109, 4877, 106, 106, 20634, 1171, 1863, 9520, 106, 106, 21320, 1959, 106, 145, 30206, 24938, 17295, 13897, 488, 125, 106, 145, 30206, 24938, 17295, 13121, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 106, 145, 30206, 24938, 17295, 19047, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 106, 106, 125, 123, 124, 132, 120, 125, 123, 125, 123, 17295, 1252, 125, 2315, 1252, 125, 19047, 1252, 125, 114, 32001, 488, 106, 32000, 20036, 106, 3562, 13897, 488, 125, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 1299, 1158, 488, 132, 2247, 1227, 16277, 1125, 2315, 23521, 1125, 7711, 1125, 9640, 10041, 121, 106, 106, 2606, 6311, 4041, 1227, 16277, 23521, 4992, 1679, 11400, 14339, 4500, 14596, 2720, 7556, 2011, 1186, 2069, 6969, 1125, 22542, 5878, 1285, 1186, 1318, 4726, 1125, 11400, 3840, 1250, 13656, 3227, 1473, 7542, 1158, 6586, 1125, 7711, 121, 106, 106, 3562, 3453, 2320, 1125, 3219, 3274, 2856, 1125, 20324, 1186, 13897, 488, 124, 2391, 1125, 1158, 6586, 2419, 7352, 1207, 2069, 8091, 8365, 1125, 3219, 3274, 1508, 3633, 25145, 1125, 1826, 1603, 1162, 1186, 10041, 6111, 12132, 1167, 1158, 8826, 3555, 2320, 1125, 3219, 3274, 3633, 10329, 1125, 9085, 1188, 1158, 2708, 1483, 1304, 8778, 1231, 20177, 1188, 1158, 1622, 1125, 1158, 3362, 3847, 106, 106, 151, 1500, 1125, 17532, 6175, 3310, 1170, 1200, 3843, 142, 20750, 1167, 1170, 1248, 1451, 197, 23432, 2004, 1913, 1826, 1603, 17993, 2750, 2782, 19461, 1571, 2069, 8091, 8365, 1125, 3453, 10041, 121, 1548, 5763, 2104, 1183, 29145, 178, 1404, 1252, 7440, 1170, 13054, 1266, 16784, 1170, 4148, 2624, 14919, 1167, 1282, 7698, 142, 19104, 2004, 119, 9562, 1188, 19402, 29386, 1170, 3090, 20410, 1786, 1107, 1313, 1440, 16277, 2750, 2782, 27216, 1207, 3688, 9172, 1125, 1158, 2708, 1483, 1304, 8778, 1231, 12887, 5907, 1548, 14673, 13054, 1167, 1170, 28152, 3281, 4853, 21010, 2004, 14489, 1188, 1281, 15991, 2391, 1125, 1158, 2708, 1483, 1304, 8778, 1231, 12887, 5907, 106, 106, 2606, 488, 124, 125, 2829, 488, 125, 123, 125, 123, 119, 1158, 15142, 1299, 18115, 1277, 1215, 1158, 18409, 24842, 1125, 17295, 1186, 5169, 1125, 1158, 19667, 5776, 1188, 1158, 10274, 124, 132, 121, 1643, 15142, 1299, 24161, 9771, 1303, 1170, 488, 124, 129, 3012, 488, 125, 123, 125, 123, 2040, 1158, 28943, 1197, 5971, 1525, 1299, 11858, 3702, 1170, 30872, 5026, 2510, 1125, 4153, 8776, 1153, 1637, 2510, 1125, 20825, 3227, 4413, 1548, 3694, 1125, 14045, 4249, 1382, 1805, 1608, 244, 2040, 1158, 2708, 1483, 1304, 8778, 1231, 20177, 6058, 1894, 1203, 2806, 1207, 10431, 5503, 1199, 1188, 1158, 8826, 3555, 2320, 1125, 3219, 3274, 1508, 4211, 21226, 106, 106, 2951, 8100, 1701, 106, 142, 1104, 26157, 20766, 1207, 11400, 14339, 4500, 10431, 5916, 14093, 1256, 20096, 1107, 1170, 16277, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 121, 2502, 1251, 5209, 1170, 1874, 1197, 5878, 1285, 1158, 3110, 1125, 5735, 1227, 5878, 119, 9911, 1125, 1158, 6128, 3101, 1231, 1188, 1816, 10041, 119, 1964, 14408, 1125, 1158, 6586, 6175, 11835, 1170, 1874, 1197, 1290, 5493, 2442, 1309, 1158, 9347, 1125, 2008, 8176, 121, 1548, 5878, 1227, 12806, 4657, 16691, 13160, 1110, 1913, 18494, 1317, 1545, 1105, 1105, 29305, 2323, 1293, 146, 9983, 1186, 2798, 488, 125, 123, 124, 132, 1167, 1110, 2774, 20540, 1125, 1874, 121, 106, 106, 2606, 16277, 9016, 2069, 6969, 1125, 22542, 6428, 1457, 488, 106, 151, 1603, 3706, 1197, 10082, 106, 106, 15581, 4521, 1197, 14596, 30231, 1313, 1170, 3274, 1192, 1227, 16277, 106, 106, 15581, 4521, 1197, 14596, 30231, 1313, 1170, 3274, 1233, 1227, 16277, 106, 106, 8039, 244, 4538, 106, 106, 2809, 14443, 106, 2606, 14408, 1299, 4646, 244, 1469, 1170, 3688, 2247, 1125, 4153, 6441, 1257, 1318, 14789, 13741, 3203, 22233, 1170, 3904, 14271, 1189, 1167, 1158, 2968, 20645, 5631, 121, 106, 106, 142, 1687, 2805, 8337, 1256, 7882, 2379, 1186, 2015, 1304, 28217, 1317, 14408, 1257, 14408, 1571, 4153, 1197, 20825, 3227, 1234, 1835, 1207, 14596, 1279, 488, 241, 1134, 186, 2040, 11641, 1835, 1207, 25460, 1557, 8858, 1167, 1207, 25460, 1892, 1740, 1234, 1215, 7383, 1283, 4814, 1317, 3285, 1197, 20825, 1357, 1207, 2004, 8693, 1234, 2040, 11641, 1835, 1207, 25460, 1557, 8858, 1167, 1207, 25460, 1892, 1740, 1234, 1300, 1158, 21442, 1197, 20825, 3227, 1234, 1313, 1170, 16277, 2040, 1408, 2511, 2510, 1125, 25460, 1557, 8858, 1300, 1158, 21442, 1197, 20825, 3227, 1234, 1313, 1170, 16277, 2040, 1186, 2015, 1125, 3643, 2231, 17951, 1318, 6666, 17112, 8225, 3601, 1300, 9108, 12312, 1112, 1469, 119, 9487, 29582, 10241, 15640, 1197, 8004, 190, 1317, 1663, 121, 106, 106, 199, 6829, 1695, 128, 123, 109, 199, 106, 199, 1613, 1442, 1695, 5847, 109, 199, 106, 106, 199, 200, 106, 106, 199, 6829, 1695, 128, 123, 109, 199, 106, 199, 1613, 1442, 1695, 5847, 109, 199, 106, 106, 199, 200, 106, 106, 157, 1234, 18036, 106, 106, 141, 23868, 1125, 1158, 6586, 106, 106, 2003, 12224, 106, 106, 224, 25526, 1227, 14408, 106, 2606, 1217, 1201, 1227, 16277, 106, 106, 224, 25526, 1197, 5971, 1525, 106, 106, 152, 1487, 6542, 1125, 25460, 1557, 8858, 1215, 7185, 106, 20363, 21923, 11404, 1170, 2510, 1125, 25460, 1557, 8858, 2391, 1125, 3219, 7185, 1256, 1170, 3274, 7747, 488, 106, 106, 20363, 21923, 11404, 1170, 2510, 1125, 25460, 1557, 8858, 2391, 1125, 3219, 7185, 1256, 1170, 3274, 10882, 106, 106, 2809, 2139, 1525, 1197, 2222, 1148, 3027, 106, 152, 1439, 1188, 2574, 1257, 488, 123, 132, 2829, 488, 125, 123, 125, 123, 1175, 1395, 2139, 1525, 1622, 2314, 116, 106, 106, 158, 3249, 1257, 106, 2809, 14443, 1197, 2222, 1148, 3027, 7194, 2740, 1192, 116, 1300, 1170, 1865, 13320, 2469, 18700, 1109, 106, 2809, 14443, 1197, 2222, 1148, 3027, 7194, 2740, 1233, 116, 1300, 1170, 1865, 13320, 2469, 18700, 1109, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 2330, 1916, 11249, 1125, 2315, 1125, 7711, 23521, 1222, 125, 106, 142, 6494, 1125, 2315, 30284, 1125, 7711, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 106, 2330, 1916, 11249, 1125, 2315, 1125, 7711, 23521, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 106, 106, 125, 123, 124, 132, 120, 125, 123, 125, 123, 17295, 1252, 125, 2315, 1252, 125, 26389, 1252, 125, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 13897, 488, 125, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 1299, 1158, 488, 132, 2247, 1227, 16277, 1125, 2315, 23521, 1125, 7711, 1125, 9640, 10041, 121, 106, 106, 2606, 6311, 4041, 1227, 16277, 23521, 4992, 1679, 11400, 14339, 4500, 14596, 2720, 7556, 2011, 1186, 2069, 6969, 1125, 22542, 5878, 1285, 1186, 1318, 4726, 1125, 11400, 3840, 1250, 13656, 3227, 1473, 7542, 1158, 6586, 1125, 7711, 121, 106, 106, 3562, 3453, 2320, 1125, 3219, 3274, 2856, 1125, 20324, 1186, 13897, 488, 124, 2391, 1125, 1158, 6586, 2419, 7352, 1207, 2069, 8091, 8365, 1125, 3219, 3274, 1508, 3633, 25145, 1125, 1826, 1603, 1162, 1186, 10041, 6111, 12132, 1167, 1158, 8826, 3555, 2320, 1125, 3219, 3274, 3633, 10329, 1125, 9085, 1188, 1158, 2708, 1483, 1304, 8778, 1231, 20177, 1188, 1158, 1622, 1125, 1158, 3362, 3847, 106, 106, 151, 1500, 1125, 17532, 6175, 3310, 1170, 1200, 3843, 142, 20750, 1167, 1170, 1248, 1451, 197, 23432, 2004, 1913, 1826, 1603, 17993, 2750, 2782, 19461, 1571, 2069, 8091, 8365, 1125, 3453, 10041, 121, 1548, 5763, 2104, 1183, 29145, 178, 1404, 1252, 7440, 1170, 13054, 1266, 16784, 1170, 4148, 2624, 14919, 1167, 1282, 7698, 142, 19104, 2004, 119, 9562, 1188, 19402, 29386, 1170, 3090, 20410, 1786, 1107, 1313, 1440, 16277, 2750, 2782, 27216, 1207, 3688, 9172, 1125, 1158, 2708, 1483, 1304, 8778, 1231, 12887, 5907, 1548, 14673, 13054, 1167, 1170, 28152, 3281, 4853, 21010, 2004, 14489, 1188, 1281, 15991, 2391, 1125, 1158, 2708, 1483, 1304, 8778, 1231, 12887, 5907, 106, 106, 2606, 488, 124, 125, 2829, 488, 125, 123, 125, 123, 119, 1158, 15142, 1299, 18115, 1277, 1215, 1158, 18409, 24842, 1125, 17295, 1186, 5169, 1125, 1158, 19667, 5776, 1188, 1158, 10274, 124, 132, 121, 1643, 15142, 1299, 24161, 9771, 1303, 1170, 488, 124, 129, 3012, 488, 125, 123, 125, 123, 2040, 1158, 28943, 1197, 5971, 1525, 1299, 11858, 3702, 1170, 30872, 5026, 2510, 1125, 4153, 8776, 1153, 1637, 2510, 1125, 20825, 3227, 4413, 1548, 3694, 1125, 14045, 4249, 1382, 1805, 1608, 244, 2040, 1158, 2708, 1483, 1304, 8778, 1231, 20177, 6058, 1894, 1203, 2806, 1207, 10431, 5503, 1199, 1188, 1158, 8826, 3555, 2320, 1125, 3219, 3274, 1508, 4211, 21226, 106, 106, 2951, 8100, 1701, 106, 142, 1104, 26157, 20766, 1207, 11400, 14339, 4500, 10431, 5916, 14093, 1256, 20096, 1107, 1170, 16277, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 121, 2502, 1251, 5209, 1170, 1874, 1197, 5878, 1285, 1158, 3110, 1125, 5735, 1227, 5878, 119, 9911, 1125, 1158, 6128, 3101, 1231, 1188, 1816, 10041, 119, 1964, 14408, 1125, 1158, 6586, 6175, 11835, 1170, 1874, 1197, 1290, 5493, 2442, 1309, 1158, 9347, 1125, 2008, 8176, 121, 1548, 5878, 1227, 12806, 4657, 16691, 13160, 1110, 1913, 18494, 1317, 1545, 1105, 1105, 29305, 2323, 1293, 146, 9983, 1186, 2798, 488, 125, 123, 124, 132, 1167, 1110, 2774, 20540, 1125, 1874, 121, 106, 106, 2606, 16277, 9016, 2069, 6969, 1125, 22542, 6428, 1457, 488, 106, 151, 1603, 3706, 1197, 10082, 106, 106, 15581, 4521, 1197, 14596, 30231, 1313, 1170, 3274, 1192, 1227, 16277, 106, 106, 15581, 4521, 1197, 14596, 30231, 1313, 1170, 3274, 1233, 1227, 16277, 106, 106, 8039, 244, 4538, 106, 106, 2809, 14443, 106, 2606, 14408, 1299, 4646, 244, 1469, 1170, 3688, 2247, 1125, 4153, 6441, 1257, 1318, 14789, 13741, 3203, 22233, 1170, 3904, 14271, 1189, 1167, 1158, 2968, 20645, 5631, 121, 106, 106, 142, 1687, 2805, 8337, 1256, 7882, 2379, 1186, 2015, 1304, 28217, 1317, 14408, 1257, 14408, 1571, 4153, 1197, 20825, 3227, 1234, 1835, 1207, 14596, 1279, 488, 241, 1134, 186, 2040, 11641, 1835, 1207, 25460, 1557, 8858, 1167, 1207, 25460, 1892, 1740, 1234, 1215, 7383, 1283, 4814, 1317, 3285, 1197, 20825, 1357, 1207, 2004, 8693, 1234, 2040, 11641, 1835, 1207, 25460, 1557, 8858, 1167, 1207, 25460, 1892, 1740, 1234, 1300, 1158, 21442, 1197, 20825, 3227, 1234, 1313, 1170, 16277, 2040, 1408, 2511, 2510, 1125, 25460, 1557, 8858, 1300, 1158, 21442, 1197, 20825, 3227, 1234, 1313, 1170, 16277, 2040, 1186, 2015, 1125, 3643, 2231, 17951, 1318, 6666, 17112, 8225, 3601, 1300, 9108, 12312, 1112, 1469, 119, 9487, 29582, 10241, 15640, 1197, 8004, 190, 1317, 1663, 121, 106, 106, 199, 6829, 1695, 128, 123, 109, 199, 106, 199, 1613, 1442, 1695, 5847, 109, 199, 106, 106, 199, 200, 106, 106, 199, 6829, 1695, 128, 123, 109, 199, 106, 199, 1613, 1442, 1695, 5847, 109, 199, 106, 106, 199, 200, 106, 106, 157, 1234, 18036, 106, 106, 141, 23868, 1125, 1158, 6586, 106, 106, 2003, 12224, 106, 106, 224, 25526, 1227, 14408, 106, 2606, 1217, 1201, 1227, 16277, 106, 106, 224, 25526, 1197, 5971, 1525, 106, 106, 152, 1487, 6542, 1125, 25460, 1557, 8858, 1215, 7185, 106, 20363, 21923, 11404, 1170, 2510, 1125, 25460, 1557, 8858, 2391, 1125, 3219, 7185, 1256, 1170, 3274, 7747, 488, 106, 106, 20363, 21923, 11404, 1170, 2510, 1125, 25460, 1557, 8858, 2391, 1125, 3219, 7185, 1256, 1170, 3274, 10882, 106, 106, 2809, 2139, 1525, 1197, 2222, 1148, 3027, 106, 152, 1439, 1188, 2574, 1257, 488, 123, 132, 2829, 488, 125, 123, 125, 123, 1175, 1395, 2139, 1525, 1622, 2314, 116, 106, 106, 158, 3249, 1257, 106, 2809, 14443, 1197, 2222, 1148, 3027, 7194, 2740, 1192, 116, 1300, 1170, 1865, 13320, 2469, 18700, 1109, 106, 2809, 14443, 1197, 2222, 1148, 3027, 7194, 2740, 1233, 116, 1300, 1170, 1865, 13320, 2469, 18700, 1109, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 2330, 1916, 11249, 1125, 2315, 1125, 7711, 23521, 1222, 125, 106, 142, 6494, 1125, 2315, 30284, 1125, 7711, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 106, 2330, 1916, 11249, 1125, 2315, 1125, 7711, 23521, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 106, 106, 125, 123, 124, 132, 120, 125, 123, 125, 123, 17295, 1252, 125, 2315, 1252, 125, 26389, 1252, 125, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 149, 9836, 13159, 12744, 2765, 9204, 1238, 5696, 488, 126, 124, 119, 488, 124, 132, 130, 127, 1147, 1352, 7304, 17618, 1239, 1110, 4444, 185, 1943, 5768, 6290, 1657, 1192, 31865, 1147, 3083, 4279, 27883, 1386, 1463, 1135, 29798, 23088, 3083, 1132, 1267, 1147, 1135, 488, 125, 123, 123, 184, 3083, 4279, 1147, 488, 124, 132, 132, 129, 1147, 26784, 1810, 7594, 29081, 11519, 3743, 1401, 172, 1165, 197, 2322, 121, 28155, 3512, 1589, 1147, 3663, 14143, 17354, 1386, 1463, 1704, 1161, 1135, 3284, 4444, 185, 1943, 5768, 6290, 1201, 1147, 1135, 488, 124, 132, 132, 123, 190, 4957, 1324, 20313, 1117, 1518, 1141, 6221, 2181, 106, 106, 10442, 1976, 2470, 1765, 1940, 29798, 9085, 1147, 4173, 174, 3015, 1810, 1386, 9917, 1765, 1940, 3821, 5783, 1147, 488, 124, 132, 132, 126, 1355, 1135, 7127, 19047, 190, 1147, 3676, 1319, 2006, 2979, 14702, 3018, 14045, 1147, 488, 124, 132, 132, 127, 1449, 16403, 1135, 488, 125, 123, 123, 184, 3083, 4279, 3571, 3615, 3474, 1110, 1624, 3018, 3783, 1576, 8009, 1629, 7127, 14045, 1147, 488, 124, 132, 132, 128, 119, 1386, 18897, 1156, 1147, 1765, 2423, 17797, 1147, 26784, 172, 1355, 1135, 488, 124, 132, 132, 129, 23227, 14143, 3674, 1171, 9917, 1135, 23088, 3083, 1132, 1147, 1135, 488, 125, 123, 123, 184, 3083, 4279, 26472, 7752, 488, 124, 132, 132, 124, 1163, 488, 125, 123, 123, 127, 119, 1386, 9917, 488, 128, 7127, 2102, 4235, 27470, 190, 1171, 488, 127, 2017, 3083, 1132, 1297, 106, 106, 1428, 4912, 10513, 1135, 4444, 185, 1943, 5768, 30925, 9917, 488, 127, 3018, 27568, 1171, 488, 130, 7127, 27568, 1171, 7368, 1135, 3018, 3783, 1226, 1135, 488, 125, 123, 123, 184, 3083, 4279, 1226, 488, 132, 3162, 1175, 19721, 3026, 19375, 1449, 8980, 1202, 7198, 1484, 116, 1171, 1135, 488, 127, 123, 123, 184, 3083, 4279, 3783, 1226, 488, 127, 10805, 2133, 30381, 2470, 1135, 488, 125, 123, 123, 129, 7127, 20453, 28915, 19047, 190, 7368, 1147, 1765, 3489, 5687, 1147, 1306, 1785, 1804, 3266, 106, 106, 6090, 8799, 106, 19751, 3783, 1147, 1135, 488, 125, 123, 123, 184, 3083, 4279, 1147, 2102, 4235, 133, 2142, 1238, 7327, 488, 124, 124, 119, 488, 124, 132, 132, 127, 1147, 11188, 6256, 1150, 5657, 1449, 8980, 1202, 7198, 1484, 1147, 488, 125, 123, 123, 126, 3628, 1147, 4912, 4235, 133, 488, 128, 29040, 2910, 488, 124, 132, 132, 125, 1171, 488, 124, 132, 132, 127, 6256, 1150, 5657, 1449, 1200, 14381, 197, 183, 254, 1165, 1206, 179, 1147, 488, 125, 123, 123, 123, 1576, 106, 106, 19751, 3783, 1147, 1135, 488, 127, 123, 123, 184, 3083, 4279, 1147, 4912, 4235, 133, 488, 125, 29040, 1147, 488, 124, 132, 132, 126, 1171, 488, 124, 132, 132, 129, 6256, 1150, 5657, 1147, 488, 124, 132, 132, 130, 1449, 21686, 1325, 2759, 172, 1576, 106, 106, 140, 1210, 1214, 1196, 1525, 106, 106, 154, 7937, 1146, 17797, 106, 124, 132, 132, 129, 23227, 14143, 3674, 1147, 26784, 172, 1175, 2029, 2580, 6716, 3568, 106, 158, 1142, 1263, 3083, 1132, 1147, 1135, 488, 125, 123, 123, 184, 3083, 4279, 26472, 106, 106, 19751, 19047, 190, 106, 15891, 4235, 133, 106, 124, 132, 132, 127, 5055, 19047, 190, 1147, 11188, 133, 106, 146, 2066, 3083, 1132, 1147, 1135, 488, 125, 123, 123, 184, 3083, 4279, 11560, 2343, 17084, 1576, 106, 158, 1142, 1263, 3083, 1132, 1147, 1135, 488, 127, 123, 123, 184, 3083, 1126, 2305, 106, 106, 25290, 4235, 133, 106, 124, 132, 132, 132, 5055, 19047, 190, 1147, 13366, 16647, 133, 106, 146, 2066, 3083, 1132, 1147, 1135, 488, 124, 123, 123, 184, 3083, 1126, 2305, 106, 125, 123, 123, 123, 5055, 19047, 190, 1147, 15989, 1462, 133, 106, 158, 1142, 1263, 3083, 1132, 1147, 1135, 488, 124, 123, 123, 184, 3083, 1126, 2305, 106, 146, 2066, 3083, 1132, 1147, 1135, 488, 125, 123, 123, 184, 3083, 1126, 2305, 106, 146, 2066, 3083, 1132, 1147, 1135, 488, 127, 123, 123, 184, 3083, 1126, 2305, 106, 125, 123, 123, 125, 5055, 19047, 190, 1147, 17347, 1246, 133, 106, 146, 2066, 3083, 1132, 1147, 1135, 488, 125, 123, 123, 184, 3083, 1126, 2305, 106, 158, 1142, 1263, 3083, 1132, 1147, 1135, 488, 124, 123, 123, 184, 3083, 1126, 2305, 106, 106, 144, 7289, 1119, 19047, 190, 106, 106, 26722, 14520, 106, 155, 26981, 4877, 106, 106, 145, 6883, 1943, 5768, 30925, 106, 141, 2589, 1147, 5696, 488, 124, 132, 130, 127, 106, 25697, 30925, 1355, 1135, 488, 124, 132, 132, 125, 23227, 14143, 3674, 106, 25697, 30925, 1355, 1135, 488, 124, 132, 132, 129, 23227, 14143, 3674, 106, 25697, 30925, 1355, 1135, 488, 125, 123, 123, 123, 23227, 14143, 3674, 106, 25697, 30925, 1355, 1135, 488, 125, 123, 123, 127, 23227, 14143, 3674, 106, 19751, 5768, 27923, 14045, 106, 145, 6883, 1943, 29798, 23088, 3083, 1132, 1267, 106, 141, 2589, 1147, 1352, 7304, 1117, 121, 32001, 488, 106, 32000, 20036, 106, 149, 9836, 13159, 12744, 2765, 5252, 1170, 488, 126, 124, 2829, 488, 124, 132, 130, 127, 1188, 1352, 7304, 17618, 1299, 1189, 1139, 1272, 1136, 1622, 18131, 121, 30890, 2038, 1197, 26120, 1125, 488, 127, 1139, 6523, 1527, 2985, 12497, 9037, 1916, 1231, 13461, 1460, 1300, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1186, 488, 124, 132, 132, 129, 1188, 26784, 172, 12020, 1170, 13366, 2607, 3743, 1401, 172, 1165, 197, 2322, 121, 1192, 4308, 20888, 1188, 5999, 13461, 180, 5493, 1527, 3031, 119, 7542, 1158, 18817, 1214, 488, 124, 132, 132, 123, 119, 6113, 1197, 8199, 1139, 1272, 1392, 1622, 18131, 1469, 20313, 1117, 1518, 1141, 6221, 2181, 106, 106, 2029, 1151, 2750, 1561, 3453, 9085, 13461, 1460, 1188, 25823, 7664, 1527, 18900, 1594, 3151, 3694, 17098, 1186, 488, 124, 132, 132, 126, 1571, 6707, 19754, 22572, 1125, 3676, 1319, 2006, 2567, 1125, 8753, 14045, 1227, 2854, 1186, 488, 124, 132, 132, 127, 1186, 18241, 1199, 10399, 15640, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 12725, 1227, 2854, 1188, 1158, 15171, 1576, 8009, 1629, 14045, 22572, 1186, 488, 124, 132, 132, 128, 119, 1527, 24844, 1909, 15284, 10765, 1188, 26784, 172, 1186, 10765, 19411, 20862, 1125, 488, 124, 132, 132, 129, 1167, 1805, 10928, 1158, 24722, 24019, 1300, 10399, 15640, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 7231, 1867, 488, 124, 132, 132, 124, 1188, 488, 125, 123, 123, 127, 119, 1527, 1110, 27216, 488, 128, 8470, 1125, 14045, 22572, 1186, 2511, 20295, 1167, 488, 127, 2905, 3320, 4586, 1457, 106, 106, 1686, 4170, 10844, 2982, 1170, 4444, 18131, 18241, 172, 488, 127, 8470, 5549, 1541, 1167, 488, 130, 21741, 1167, 1110, 15672, 192, 3672, 488, 132, 2165, 1170, 3783, 1227, 2854, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 5943, 1309, 8980, 1202, 7198, 1484, 1288, 13680, 3567, 1345, 116, 1167, 3977, 1227, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 3672, 488, 127, 8793, 1768, 1110, 9829, 1561, 9245, 2750, 5613, 22887, 488, 125, 123, 123, 129, 1186, 4170, 20295, 16142, 1313, 1594, 3293, 1188, 1306, 1785, 1804, 3266, 106, 106, 6090, 8799, 488, 106, 17084, 1227, 2854, 1300, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1186, 2511, 20295, 1257, 488, 1170, 488, 124, 124, 2875, 488, 124, 132, 132, 127, 1188, 11188, 6256, 1128, 1585, 1215, 8980, 1202, 7198, 1484, 1186, 488, 125, 123, 123, 126, 116, 2040, 1186, 4170, 20295, 1257, 488, 128, 19081, 1430, 1835, 488, 124, 132, 132, 125, 1167, 488, 124, 132, 132, 127, 6256, 1128, 1585, 1215, 1200, 14381, 197, 183, 254, 1165, 1206, 179, 1186, 488, 125, 123, 123, 123, 1576, 106, 106, 17084, 1227, 2854, 1300, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 1186, 4170, 20295, 1257, 488, 125, 19081, 1430, 1186, 488, 124, 132, 132, 126, 1167, 488, 124, 132, 132, 129, 6256, 1128, 1585, 1186, 488, 124, 132, 132, 130, 1215, 21686, 1325, 2759, 172, 1576, 106, 106, 155, 26361, 106, 106, 149, 4814, 19411, 488, 106, 10765, 19411, 1125, 488, 124, 132, 132, 129, 1188, 26784, 172, 1175, 15784, 7540, 116, 1257, 106, 488, 9915, 2961, 24019, 1300, 10399, 15640, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 1576, 106, 106, 2330, 1916, 19754, 1227, 2854, 488, 106, 146, 8539, 20295, 1257, 106, 6707, 19754, 1227, 2854, 488, 124, 132, 132, 127, 1188, 11188, 488, 106, 488, 9915, 2961, 16834, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 17084, 1227, 2854, 1576, 106, 488, 9915, 2961, 24019, 1227, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 4763, 106, 106, 15884, 2052, 20295, 1257, 106, 6707, 19754, 1227, 2854, 488, 124, 132, 132, 132, 1188, 13366, 16647, 488, 106, 488, 9915, 2961, 16834, 1227, 488, 124, 123, 123, 1127, 488, 127, 1139, 1741, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 123, 123, 1188, 15989, 9536, 488, 106, 488, 9915, 2961, 24019, 1227, 488, 124, 123, 123, 1127, 488, 127, 1139, 7231, 106, 488, 9915, 2961, 16834, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 106, 488, 9915, 2961, 16834, 1227, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 123, 125, 1188, 17347, 1118, 488, 106, 488, 9915, 2961, 16834, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 106, 488, 9915, 2961, 24019, 1227, 488, 124, 123, 123, 1127, 488, 127, 1139, 1741, 106, 106, 2330, 1916, 19754, 22572, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 488, 7649, 5097, 106, 106, 153, 1272, 1136, 1622, 18131, 106, 153, 3400, 1186, 2829, 488, 124, 132, 130, 127, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 124, 132, 132, 125, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 124, 132, 132, 129, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 123, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 127, 106, 2330, 1916, 1231, 1227, 2854, 1125, 23082, 1162, 106, 152, 1740, 4586, 244, 24019, 13461, 1460, 1622, 18131, 106, 153, 3400, 1188, 1352, 7304, 1117, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 149, 9836, 13159, 12744, 2765, 5252, 1170, 488, 126, 124, 2829, 488, 124, 132, 130, 127, 1188, 1352, 7304, 17618, 1299, 1189, 1139, 1272, 1136, 1622, 18131, 121, 30890, 2038, 1197, 26120, 1125, 488, 127, 1139, 6523, 1527, 2985, 12497, 9037, 1916, 1231, 13461, 1460, 1300, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1186, 488, 124, 132, 132, 129, 1188, 26784, 172, 12020, 1170, 13366, 2607, 3743, 1401, 172, 1165, 197, 2322, 121, 1192, 4308, 20888, 1188, 5999, 13461, 180, 5493, 1527, 3031, 119, 7542, 1158, 18817, 1214, 488, 124, 132, 132, 123, 119, 6113, 1197, 8199, 1139, 1272, 1392, 1622, 18131, 1469, 20313, 1117, 1518, 1141, 6221, 2181, 106, 106, 2029, 1151, 2750, 1561, 3453, 9085, 13461, 1460, 1188, 25823, 7664, 1527, 18900, 1594, 3151, 3694, 17098, 1186, 488, 124, 132, 132, 126, 1571, 6707, 19754, 22572, 1125, 3676, 1319, 2006, 2567, 1125, 8753, 14045, 1227, 2854, 1186, 488, 124, 132, 132, 127, 1186, 18241, 1199, 10399, 15640, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 12725, 1227, 2854, 1188, 1158, 15171, 1576, 8009, 1629, 14045, 22572, 1186, 488, 124, 132, 132, 128, 119, 1527, 24844, 1909, 15284, 10765, 1188, 26784, 172, 1186, 10765, 19411, 20862, 1125, 488, 124, 132, 132, 129, 1167, 1805, 10928, 1158, 24722, 24019, 1300, 10399, 15640, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 7231, 1867, 488, 124, 132, 132, 124, 1188, 488, 125, 123, 123, 127, 119, 1527, 1110, 27216, 488, 128, 8470, 1125, 14045, 22572, 1186, 2511, 20295, 1167, 488, 127, 2905, 3320, 4586, 1457, 106, 106, 1686, 4170, 10844, 2982, 1170, 4444, 18131, 18241, 172, 488, 127, 8470, 5549, 1541, 1167, 488, 130, 21741, 1167, 1110, 15672, 192, 3672, 488, 132, 2165, 1170, 3783, 1227, 2854, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 5943, 1309, 8980, 1202, 7198, 1484, 1288, 13680, 3567, 1345, 116, 1167, 3977, 1227, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 3672, 488, 127, 8793, 1768, 1110, 9829, 1561, 9245, 2750, 5613, 22887, 488, 125, 123, 123, 129, 1186, 4170, 20295, 16142, 1313, 1594, 3293, 1188, 1306, 1785, 1804, 3266, 106, 106, 6090, 8799, 488, 106, 17084, 1227, 2854, 1300, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1186, 2511, 20295, 1257, 488, 1170, 488, 124, 124, 2875, 488, 124, 132, 132, 127, 1188, 11188, 6256, 1128, 1585, 1215, 8980, 1202, 7198, 1484, 1186, 488, 125, 123, 123, 126, 116, 2040, 1186, 4170, 20295, 1257, 488, 128, 19081, 1430, 1835, 488, 124, 132, 132, 125, 1167, 488, 124, 132, 132, 127, 6256, 1128, 1585, 1215, 1200, 14381, 197, 183, 254, 1165, 1206, 179, 1186, 488, 125, 123, 123, 123, 1576, 106, 106, 17084, 1227, 2854, 1300, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 1186, 4170, 20295, 1257, 488, 125, 19081, 1430, 1186, 488, 124, 132, 132, 126, 1167, 488, 124, 132, 132, 129, 6256, 1128, 1585, 1186, 488, 124, 132, 132, 130, 1215, 21686, 1325, 2759, 172, 1576, 106, 106, 155, 26361, 106, 106, 149, 4814, 19411, 488, 106, 10765, 19411, 1125, 488, 124, 132, 132, 129, 1188, 26784, 172, 1175, 15784, 7540, 116, 1257, 106, 488, 9915, 2961, 24019, 1300, 10399, 15640, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 1576, 106, 106, 2330, 1916, 19754, 1227, 2854, 488, 106, 146, 8539, 20295, 1257, 106, 6707, 19754, 1227, 2854, 488, 124, 132, 132, 127, 1188, 11188, 488, 106, 488, 9915, 2961, 16834, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 1175, 17084, 1227, 2854, 1576, 106, 488, 9915, 2961, 24019, 1227, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 4763, 106, 106, 15884, 2052, 20295, 1257, 106, 6707, 19754, 1227, 2854, 488, 124, 132, 132, 132, 1188, 13366, 16647, 488, 106, 488, 9915, 2961, 16834, 1227, 488, 124, 123, 123, 1127, 488, 127, 1139, 1741, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 123, 123, 1188, 15989, 9536, 488, 106, 488, 9915, 2961, 24019, 1227, 488, 124, 123, 123, 1127, 488, 127, 1139, 7231, 106, 488, 9915, 2961, 16834, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 106, 488, 9915, 2961, 16834, 1227, 488, 127, 123, 123, 1127, 488, 127, 1139, 1741, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 123, 125, 1188, 17347, 1118, 488, 106, 488, 9915, 2961, 16834, 1227, 488, 125, 123, 123, 1127, 488, 127, 1139, 1741, 106, 488, 9915, 2961, 24019, 1227, 488, 124, 123, 123, 1127, 488, 127, 1139, 1741, 106, 106, 2330, 1916, 19754, 22572, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 488, 7649, 5097, 106, 106, 153, 1272, 1136, 1622, 18131, 106, 153, 3400, 1186, 2829, 488, 124, 132, 130, 127, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 124, 132, 132, 125, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 124, 132, 132, 129, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 123, 106, 153, 1272, 1136, 1571, 10765, 19411, 20862, 1125, 488, 125, 123, 123, 127, 106, 2330, 1916, 1231, 1227, 2854, 1125, 23082, 1162, 106, 152, 1740, 4586, 244, 24019, 13461, 1460, 1622, 18131, 106, 153, 3400, 1188, 1352, 7304, 1117, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 109, 1648, 12169, 12426, 1496, 9204, 1238, 7286, 488, 124, 127, 119, 488, 124, 132, 131, 124, 1147, 5947, 1119, 1897, 196, 3100, 1239, 1151, 16448, 24755, 16646, 7402, 2000, 15751, 1296, 1110, 12454, 1255, 4408, 4937, 121, 2133, 1602, 10939, 1135, 13539, 1161, 1765, 9932, 9096, 1226, 1135, 16448, 14596, 13455, 15068, 1171, 1135, 9197, 3390, 28152, 11805, 3847, 106, 106, 141, 180, 11114, 106, 147, 1108, 181, 1569, 1239, 1135, 1288, 187, 15296, 1161, 6459, 24755, 21828, 7402, 30820, 8163, 181, 1569, 1171, 1602, 9282, 1384, 1119, 3425, 1297, 2133, 1463, 5468, 1589, 1355, 1753, 5826, 184, 2506, 1361, 9168, 1147, 3288, 1620, 14624, 4957, 1324, 12426, 1293, 1286, 1334, 1171, 9605, 13607, 1912, 121, 1459, 488, 125, 123, 123, 124, 1171, 488, 125, 123, 123, 125, 119, 1386, 9273, 1226, 1135, 16448, 13265, 120, 125, 124, 3390, 2979, 3026, 8849, 1226, 1135, 12546, 26964, 2133, 3062, 1765, 7673, 488, 124, 125, 18202, 1147, 488, 125, 123, 123, 126, 1324, 1135, 3261, 5821, 1429, 4064, 1135, 1325, 1558, 182, 7613, 16820, 1297, 8163, 181, 1569, 1463, 2491, 9463, 1147, 1110, 488, 125, 130, 22765, 29971, 1226, 1135, 16448, 3390, 1147, 7515, 120, 125, 123, 123, 127, 2470, 3985, 2333, 3758, 1128, 4279, 25373, 1765, 1400, 5784, 2133, 3062, 1765, 18202, 1238, 6384, 488, 125, 129, 4064, 1135, 12689, 3390, 1296, 1110, 1144, 1149, 1659, 7822, 1238, 5052, 4826, 1446, 1135, 2283, 1161, 1135, 3904, 2470, 1165, 1269, 1208, 1248, 1495, 14403, 4241, 6675, 1278, 5108, 1459, 8322, 488, 125, 123, 123, 127, 119, 8163, 181, 1569, 9273, 2197, 8256, 1147, 12689, 1324, 1135, 5922, 1126, 1134, 8160, 1459, 488, 125, 123, 123, 128, 119, 1386, 13942, 1324, 1135, 1624, 7673, 488, 124, 127, 11203, 8222, 1135, 13455, 15068, 121, 106, 106, 143, 6129, 1765, 9096, 3660, 1659, 1386, 1463, 9492, 1147, 5057, 17813, 1132, 1297, 1459, 488, 125, 123, 123, 127, 119, 1386, 1463, 9492, 1147, 1151, 17121, 174, 1162, 1147, 5343, 6461, 1810, 2470, 1758, 1135, 2784, 1262, 1199, 6971, 1631, 128, 119, 123, 123, 123, 1147, 1110, 7685, 27742, 1163, 11388, 1135, 4131, 1457, 2133, 7905, 1135, 1940, 11109, 9621, 1147, 488, 127, 123, 3162, 1163, 1280, 5253, 3489, 1446, 1110, 3543, 121, 3730, 2025, 1959, 27438, 1500, 1161, 2017, 15136, 1285, 3813, 13575, 1430, 1161, 8163, 181, 1569, 27653, 1149, 1110, 6459, 16069, 1361, 1594, 1329, 1127, 3531, 2267, 1110, 21877, 3100, 7408, 1302, 2025, 5939, 191, 1324, 2448, 1641, 1449, 1765, 5878, 121, 1410, 5878, 1959, 2055, 1163, 5452, 196, 1151, 13575, 1162, 1161, 27653, 1238, 1110, 5878, 17011, 1449, 2489, 2563, 3813, 8163, 181, 1569, 121, 1459, 488, 125, 123, 123, 131, 119, 1386, 1463, 9141, 9492, 1147, 1151, 17121, 174, 1162, 1147, 1110, 3688, 2468, 1765, 3390, 184, 1230, 12805, 1205, 1173, 1532, 2055, 1765, 1225, 2554, 3343, 182, 2765, 1975, 11926, 24101, 121, 18437, 1149, 9816, 8163, 181, 1569, 1463, 29181, 1449, 1135, 13455, 15068, 121, 106, 106, 11101, 11805, 1105, 2491, 9448, 12426, 8163, 181, 1569, 1110, 6841, 1226, 1169, 14483, 1552, 1449, 29767, 2667, 2470, 1789, 9853, 1163, 1135, 8726, 488, 124, 127, 1171, 1296, 1110, 20573, 1226, 9605, 13607, 1912, 119, 1110, 11500, 1386, 9517, 1296, 1235, 2173, 3572, 1123, 2241, 109, 1459, 488, 125, 123, 123, 132, 119, 12426, 8163, 181, 1569, 7000, 4660, 16901, 1589, 1765, 25544, 2542, 1446, 1135, 3390, 1163, 2440, 4959, 1226, 19730, 1314, 25083, 2552, 2236, 6798, 1137, 3266, 2133, 14969, 3936, 1135, 5878, 1355, 1135, 2283, 1161, 1135, 488, 125, 123, 124, 124, 120, 125, 123, 124, 125, 21326, 23738, 3569, 1222, 2012, 1147, 1951, 1222, 125, 1226, 1704, 25972, 106, 106, 140, 1210, 1214, 1196, 1525, 106, 1428, 5878, 106, 11101, 11805, 1105, 106, 9748, 488, 124, 127, 2804, 1267, 133, 488, 125, 123, 124, 125, 1175, 1193, 1262, 1243, 1753, 2240, 11805, 1212, 1262, 116, 106, 140, 2526, 1109, 26105, 13121, 2804, 1267, 133, 488, 125, 123, 124, 123, 1171, 488, 125, 123, 124, 125, 1175, 1193, 1262, 1243, 16155, 1633, 2893, 1813, 1171, 7072, 1124, 1687, 197, 14143, 1460, 116, 106, 106, 1428, 20473, 106, 30001, 5821, 1429, 106, 158, 9230, 488, 124, 125, 18957, 133, 488, 125, 123, 123, 127, 1175, 1193, 1262, 1243, 10148, 1153, 1217, 28939, 106, 106, 1428, 3781, 3390, 106, 127, 25658, 1226, 13420, 3976, 488, 125, 123, 123, 127, 14877, 488, 125, 1324, 1135, 1192, 3390, 3628, 3062, 1765, 4578, 18202, 1238, 6384, 488, 125, 129, 119, 488, 125, 123, 123, 127, 4064, 12689, 121, 106, 142, 4632, 1449, 1976, 133, 488, 125, 1147, 488, 125, 123, 123, 127, 119, 488, 125, 1147, 488, 125, 123, 123, 128, 106, 159, 1164, 6488, 1430, 9273, 133, 488, 125, 123, 123, 127, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 106, 106, 140, 5419, 2323, 24755, 16646, 4578, 7402, 106, 30001, 5821, 1429, 7402, 106, 147, 1124, 1126, 1134, 1554, 7402, 106, 9807, 1276, 20574, 7402, 106, 162, 1182, 1608, 15068, 7402, 106, 11101, 11805, 1105, 7402, 106, 3488, 1222, 2012, 7402, 106, 4968, 189, 1255, 4408, 4937, 14200, 1839, 3176, 16646, 116, 106, 141, 2589, 1147, 7286, 488, 124, 132, 131, 124, 106, 141, 2589, 1147, 2482, 5343, 1325, 2137, 109, 32001, 488, 106, 32000, 20036, 106, 115, 2689, 12426, 1496, 5252, 1170, 488, 124, 127, 2578, 488, 124, 132, 131, 124, 1188, 5947, 1119, 1897, 196, 3100, 1299, 1189, 10952, 26859, 1354, 1125, 24755, 1188, 11402, 1357, 28160, 1317, 8536, 1125, 11028, 1125, 22057, 183, 3798, 1768, 10809, 1158, 10597, 1125, 1561, 9245, 1317, 5545, 1197, 14596, 26859, 1354, 1125, 1158, 13455, 15068, 1167, 2720, 1227, 28152, 11805, 3847, 106, 106, 141, 11741, 106, 147, 1108, 181, 1569, 1299, 1170, 1288, 1196, 192, 1125, 20774, 10952, 1125, 24755, 1188, 2271, 12636, 30820, 8163, 181, 1569, 1167, 1110, 1197, 29636, 3664, 10327, 1768, 1110, 1913, 1253, 2336, 4568, 1317, 1200, 5451, 1303, 1753, 5826, 184, 2506, 1361, 1188, 3288, 1620, 14624, 1667, 1856, 12426, 1293, 1286, 1334, 1167, 9605, 13607, 1912, 121, 1653, 488, 125, 123, 123, 124, 1167, 488, 125, 123, 123, 125, 1527, 10809, 1256, 10796, 5519, 5419, 1214, 1197, 2864, 1125, 488, 125, 124, 5305, 2567, 9033, 28588, 1186, 4924, 7747, 1768, 1844, 1909, 28407, 1313, 1170, 7673, 488, 124, 125, 1186, 488, 125, 123, 123, 126, 1469, 1207, 3261, 5821, 1429, 2714, 1207, 1325, 1558, 182, 7613, 16820, 1297, 8163, 181, 1569, 1110, 6349, 1913, 27247, 1313, 1318, 2260, 2992, 2038, 1125, 488, 125, 130, 12012, 1256, 10796, 5519, 5419, 1214, 1317, 8007, 1125, 9911, 488, 125, 123, 123, 127, 2750, 1309, 3985, 2333, 3758, 1128, 4279, 1281, 2666, 10485, 244, 1170, 2167, 6631, 1768, 1844, 1909, 28407, 1170, 488, 125, 129, 2798, 2714, 10796, 12412, 19394, 1317, 8536, 1304, 1478, 1374, 1188, 8826, 4826, 1125, 1158, 1622, 1227, 3904, 2750, 1158, 9814, 1278, 1125, 1165, 1269, 1208, 1248, 1495, 14403, 121, 4444, 488, 125, 123, 123, 127, 119, 8163, 181, 1569, 1844, 1318, 19705, 1113, 7009, 1125, 2069, 20825, 1186, 1645, 19394, 1469, 1207, 5922, 1126, 1134, 8160, 1653, 488, 125, 123, 123, 128, 119, 1527, 12368, 1256, 1158, 3643, 20473, 1125, 7673, 488, 124, 127, 119, 1158, 13455, 15068, 121, 106, 106, 143, 16274, 1561, 9245, 1125, 10952, 119, 1527, 1110, 1913, 15923, 1188, 2797, 1318, 4726, 1125, 17813, 29558, 1653, 488, 125, 123, 123, 127, 1527, 1299, 15923, 1188, 1318, 17121, 174, 1162, 1186, 12094, 1227, 30469, 2750, 5685, 1170, 1264, 6124, 1199, 1110, 1710, 20643, 2209, 1919, 3134, 488, 128, 123, 123, 123, 10609, 1256, 11051, 6820, 1207, 4131, 1457, 1768, 3031, 3042, 12749, 1170, 3151, 11109, 9621, 1186, 488, 127, 123, 2165, 1188, 1823, 30834, 244, 2519, 5505, 3798, 1768, 6917, 2445, 5610, 1177, 4437, 1392, 1300, 1197, 15136, 1285, 7630, 12286, 1197, 30498, 1430, 1300, 1318, 1711, 8223, 13076, 1108, 181, 1569, 16221, 1170, 8658, 2335, 7271, 10452, 1199, 1362, 1318, 1684, 1811, 16221, 1318, 24999, 12420, 1357, 2004, 1913, 29222, 1186, 14809, 1313, 1594, 5878, 121, 1548, 5878, 1110, 2445, 1227, 7576, 1374, 24489, 2519, 1711, 8223, 16221, 1189, 28622, 1227, 5878, 1215, 1197, 10952, 1285, 2487, 8163, 181, 1569, 121, 1653, 488, 125, 123, 123, 131, 1527, 1299, 6529, 15923, 1188, 1318, 17121, 174, 1162, 1313, 1189, 3688, 1317, 3285, 1125, 5685, 1594, 1736, 25502, 1374, 12805, 1205, 1173, 1532, 1110, 4795, 1158, 15836, 1941, 10485, 2806, 2924, 11828, 1318, 12333, 16745, 1146, 5907, 4511, 1158, 3011, 1125, 3547, 8163, 181, 1569, 1299, 11833, 3649, 1215, 1158, 13455, 15068, 121, 106, 106, 2606, 28152, 11805, 1105, 5714, 6349, 1188, 12426, 8163, 181, 1569, 1318, 6841, 1125, 1281, 13341, 1935, 1403, 1186, 1282, 14189, 1199, 2750, 2782, 1913, 2969, 192, 1186, 8726, 488, 124, 127, 1167, 1186, 17647, 1125, 9605, 13607, 1912, 119, 11500, 3365, 21552, 1856, 6058, 1606, 2205, 3572, 11828, 4821, 1653, 488, 125, 123, 123, 132, 119, 12426, 8163, 181, 1569, 5742, 21921, 1188, 13680, 18007, 1594, 7882, 1227, 5878, 2739, 1517, 3143, 1125, 31151, 1318, 2320, 5147, 1935, 120, 13603, 1511, 1369, 1188, 1282, 6016, 13666, 25083, 2552, 2236, 6798, 1137, 3266, 1768, 18242, 172, 12048, 1170, 5878, 1188, 25994, 1125, 1158, 6586, 488, 125, 123, 124, 124, 120, 125, 123, 124, 125, 119, 1256, 12533, 1282, 3488, 1222, 2012, 1186, 1951, 1222, 125, 1170, 2658, 2519, 3362, 3847, 106, 106, 155, 26361, 106, 1686, 5878, 106, 11101, 11805, 1105, 106, 16519, 8765, 1227, 8726, 488, 124, 127, 1257, 488, 125, 123, 124, 125, 5587, 1431, 1317, 1753, 2240, 1919, 183, 1212, 1262, 116, 106, 16519, 8765, 1125, 6389, 2526, 1109, 11500, 15817, 1257, 488, 125, 123, 124, 123, 1167, 488, 125, 123, 124, 125, 5587, 1431, 1571, 16155, 1633, 2893, 1813, 1167, 1317, 7072, 1124, 1687, 197, 13461, 1460, 116, 106, 106, 1686, 20473, 106, 30001, 5821, 1429, 106, 161, 1262, 19495, 1227, 7673, 488, 124, 125, 1257, 488, 125, 123, 123, 127, 5587, 1431, 1571, 10148, 1153, 1217, 28939, 106, 106, 1686, 4924, 5277, 106, 127, 5266, 190, 1186, 4924, 5519, 5419, 1214, 2757, 488, 125, 123, 123, 127, 14877, 488, 125, 1469, 12039, 1192, 116, 2040, 1527, 1110, 6148, 10483, 1561, 3453, 2195, 176, 10903, 1170, 488, 125, 129, 2798, 488, 125, 123, 123, 127, 2714, 10796, 12412, 14691, 9770, 106, 158, 244, 6995, 1215, 5910, 1257, 488, 125, 1186, 488, 125, 123, 123, 127, 119, 488, 125, 1186, 488, 125, 123, 123, 128, 106, 159, 1164, 3243, 1430, 20096, 244, 1257, 488, 125, 123, 123, 127, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 149, 12590, 4578, 26859, 1354, 1125, 24755, 1188, 11402, 106, 149, 12590, 1197, 3261, 5821, 1429, 106, 149, 12590, 1197, 5922, 1126, 1134, 1554, 106, 149, 12590, 1125, 4873, 1276, 20574, 106, 149, 12590, 1125, 1158, 13455, 15068, 106, 149, 12590, 1227, 28152, 11805, 1105, 106, 149, 12590, 1125, 1282, 3488, 1222, 2012, 106, 24864, 180, 1125, 22057, 21619, 14200, 1839, 3176, 1188, 11402, 116, 106, 153, 3400, 1186, 2578, 488, 124, 132, 131, 124, 106, 153, 3400, 1186, 10942, 5264, 1132, 1328, 1227, 6455, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 115, 2689, 12426, 1496, 5252, 1170, 488, 124, 127, 2578, 488, 124, 132, 131, 124, 1188, 5947, 1119, 1897, 196, 3100, 1299, 1189, 10952, 26859, 1354, 1125, 24755, 1188, 11402, 1357, 28160, 1317, 8536, 1125, 11028, 1125, 22057, 183, 3798, 1768, 10809, 1158, 10597, 1125, 1561, 9245, 1317, 5545, 1197, 14596, 26859, 1354, 1125, 1158, 13455, 15068, 1167, 2720, 1227, 28152, 11805, 3847, 106, 106, 141, 11741, 106, 147, 1108, 181, 1569, 1299, 1170, 1288, 1196, 192, 1125, 20774, 10952, 1125, 24755, 1188, 2271, 12636, 30820, 8163, 181, 1569, 1167, 1110, 1197, 29636, 3664, 10327, 1768, 1110, 1913, 1253, 2336, 4568, 1317, 1200, 5451, 1303, 1753, 5826, 184, 2506, 1361, 1188, 3288, 1620, 14624, 1667, 1856, 12426, 1293, 1286, 1334, 1167, 9605, 13607, 1912, 121, 1653, 488, 125, 123, 123, 124, 1167, 488, 125, 123, 123, 125, 1527, 10809, 1256, 10796, 5519, 5419, 1214, 1197, 2864, 1125, 488, 125, 124, 5305, 2567, 9033, 28588, 1186, 4924, 7747, 1768, 1844, 1909, 28407, 1313, 1170, 7673, 488, 124, 125, 1186, 488, 125, 123, 123, 126, 1469, 1207, 3261, 5821, 1429, 2714, 1207, 1325, 1558, 182, 7613, 16820, 1297, 8163, 181, 1569, 1110, 6349, 1913, 27247, 1313, 1318, 2260, 2992, 2038, 1125, 488, 125, 130, 12012, 1256, 10796, 5519, 5419, 1214, 1317, 8007, 1125, 9911, 488, 125, 123, 123, 127, 2750, 1309, 3985, 2333, 3758, 1128, 4279, 1281, 2666, 10485, 244, 1170, 2167, 6631, 1768, 1844, 1909, 28407, 1170, 488, 125, 129, 2798, 2714, 10796, 12412, 19394, 1317, 8536, 1304, 1478, 1374, 1188, 8826, 4826, 1125, 1158, 1622, 1227, 3904, 2750, 1158, 9814, 1278, 1125, 1165, 1269, 1208, 1248, 1495, 14403, 121, 4444, 488, 125, 123, 123, 127, 119, 8163, 181, 1569, 1844, 1318, 19705, 1113, 7009, 1125, 2069, 20825, 1186, 1645, 19394, 1469, 1207, 5922, 1126, 1134, 8160, 1653, 488, 125, 123, 123, 128, 119, 1527, 12368, 1256, 1158, 3643, 20473, 1125, 7673, 488, 124, 127, 119, 1158, 13455, 15068, 121, 106, 106, 143, 16274, 1561, 9245, 1125, 10952, 119, 1527, 1110, 1913, 15923, 1188, 2797, 1318, 4726, 1125, 17813, 29558, 1653, 488, 125, 123, 123, 127, 1527, 1299, 15923, 1188, 1318, 17121, 174, 1162, 1186, 12094, 1227, 30469, 2750, 5685, 1170, 1264, 6124, 1199, 1110, 1710, 20643, 2209, 1919, 3134, 488, 128, 123, 123, 123, 10609, 1256, 11051, 6820, 1207, 4131, 1457, 1768, 3031, 3042, 12749, 1170, 3151, 11109, 9621, 1186, 488, 127, 123, 2165, 1188, 1823, 30834, 244, 2519, 5505, 3798, 1768, 6917, 2445, 5610, 1177, 4437, 1392, 1300, 1197, 15136, 1285, 7630, 12286, 1197, 30498, 1430, 1300, 1318, 1711, 8223, 13076, 1108, 181, 1569, 16221, 1170, 8658, 2335, 7271, 10452, 1199, 1362, 1318, 1684, 1811, 16221, 1318, 24999, 12420, 1357, 2004, 1913, 29222, 1186, 14809, 1313, 1594, 5878, 121, 1548, 5878, 1110, 2445, 1227, 7576, 1374, 24489, 2519, 1711, 8223, 16221, 1189, 28622, 1227, 5878, 1215, 1197, 10952, 1285, 2487, 8163, 181, 1569, 121, 1653, 488, 125, 123, 123, 131, 1527, 1299, 6529, 15923, 1188, 1318, 17121, 174, 1162, 1313, 1189, 3688, 1317, 3285, 1125, 5685, 1594, 1736, 25502, 1374, 12805, 1205, 1173, 1532, 1110, 4795, 1158, 15836, 1941, 10485, 2806, 2924, 11828, 1318, 12333, 16745, 1146, 5907, 4511, 1158, 3011, 1125, 3547, 8163, 181, 1569, 1299, 11833, 3649, 1215, 1158, 13455, 15068, 121, 106, 106, 2606, 28152, 11805, 1105, 5714, 6349, 1188, 12426, 8163, 181, 1569, 1318, 6841, 1125, 1281, 13341, 1935, 1403, 1186, 1282, 14189, 1199, 2750, 2782, 1913, 2969, 192, 1186, 8726, 488, 124, 127, 1167, 1186, 17647, 1125, 9605, 13607, 1912, 119, 11500, 3365, 21552, 1856, 6058, 1606, 2205, 3572, 11828, 4821, 1653, 488, 125, 123, 123, 132, 119, 12426, 8163, 181, 1569, 5742, 21921, 1188, 13680, 18007, 1594, 7882, 1227, 5878, 2739, 1517, 3143, 1125, 31151, 1318, 2320, 5147, 1935, 120, 13603, 1511, 1369, 1188, 1282, 6016, 13666, 25083, 2552, 2236, 6798, 1137, 3266, 1768, 18242, 172, 12048, 1170, 5878, 1188, 25994, 1125, 1158, 6586, 488, 125, 123, 124, 124, 120, 125, 123, 124, 125, 119, 1256, 12533, 1282, 3488, 1222, 2012, 1186, 1951, 1222, 125, 1170, 2658, 2519, 3362, 3847, 106, 106, 155, 26361, 106, 1686, 5878, 106, 11101, 11805, 1105, 106, 16519, 8765, 1227, 8726, 488, 124, 127, 1257, 488, 125, 123, 124, 125, 5587, 1431, 1317, 1753, 2240, 1919, 183, 1212, 1262, 116, 106, 16519, 8765, 1125, 6389, 2526, 1109, 11500, 15817, 1257, 488, 125, 123, 124, 123, 1167, 488, 125, 123, 124, 125, 5587, 1431, 1571, 16155, 1633, 2893, 1813, 1167, 1317, 7072, 1124, 1687, 197, 13461, 1460, 116, 106, 106, 1686, 20473, 106, 30001, 5821, 1429, 106, 161, 1262, 19495, 1227, 7673, 488, 124, 125, 1257, 488, 125, 123, 123, 127, 5587, 1431, 1571, 10148, 1153, 1217, 28939, 106, 106, 1686, 4924, 5277, 106, 127, 5266, 190, 1186, 4924, 5519, 5419, 1214, 2757, 488, 125, 123, 123, 127, 14877, 488, 125, 1469, 12039, 1192, 116, 2040, 1527, 1110, 6148, 10483, 1561, 3453, 2195, 176, 10903, 1170, 488, 125, 129, 2798, 488, 125, 123, 123, 127, 2714, 10796, 12412, 14691, 9770, 106, 158, 244, 6995, 1215, 5910, 1257, 488, 125, 1186, 488, 125, 123, 123, 127, 119, 488, 125, 1186, 488, 125, 123, 123, 128, 106, 159, 1164, 3243, 1430, 20096, 244, 1257, 488, 125, 123, 123, 127, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 149, 12590, 4578, 26859, 1354, 1125, 24755, 1188, 11402, 106, 149, 12590, 1197, 3261, 5821, 1429, 106, 149, 12590, 1197, 5922, 1126, 1134, 1554, 106, 149, 12590, 1125, 4873, 1276, 20574, 106, 149, 12590, 1125, 1158, 13455, 15068, 106, 149, 12590, 1227, 28152, 11805, 1105, 106, 149, 12590, 1125, 1282, 3488, 1222, 2012, 106, 24864, 180, 1125, 22057, 21619, 14200, 1839, 3176, 1188, 11402, 116, 106, 153, 3400, 1186, 2578, 488, 124, 132, 131, 124, 106, 153, 3400, 1186, 10942, 5264, 1132, 1328, 1227, 6455, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 2029, 1606, 1116, 1183, 1128, 1651, 1524, 1362, 1606, 3294, 1481, 1651, 1524, 1299, 1318, 1400, 1232, 1215, 9781, 1830, 1303, 2335, 16248, 7639, 180, 5147, 174, 1568, 1525, 4880, 1384, 2805, 1131, 1416, 2137, 1362, 13311, 1314, 1496, 7008, 14820, 17993, 1313, 1125, 12436, 119, 1167, 13409, 2714, 1207, 8574, 1125, 14439, 2391, 1125, 8510, 7168, 106, 106, 147, 15376, 488, 106, 4455, 3572, 1568, 1525, 1508, 8337, 1856, 22945, 18800, 1362, 20373, 1125, 13956, 1125, 9186, 3110, 1257, 1186, 17612, 1317, 17990, 24373, 4780, 1197, 1111, 1767, 1541, 7639, 1120, 5147, 174, 1568, 1525, 6096, 7008, 1275, 2094, 1234, 1300, 1207, 1693, 4586, 1701, 1227, 4392, 1197, 15836, 1146, 2610, 1120, 1362, 8337, 2391, 1125, 13513, 6364, 11072, 488, 106, 106, 1686, 488, 125, 123, 124, 127, 119, 1189, 7334, 1374, 1574, 7478, 1354, 1299, 17753, 2519, 1606, 1138, 24120, 1188, 18771, 1374, 1524, 3662, 1303, 1188, 1189, 14496, 30594, 5162, 1256, 1207, 29517, 20762, 1124, 1297, 106, 106, 4455, 1606, 1116, 1183, 1128, 1651, 1524, 1362, 13513, 1104, 5147, 174, 1568, 1525, 1508, 8337, 1408, 14336, 1158, 3453, 2768, 4319, 488, 1186, 488, 125, 123, 124, 127, 1317, 29186, 172, 1175, 20877, 1234, 4410, 31796, 1606, 3294, 1481, 1651, 1524, 1362, 1606, 2761, 1190, 1651, 15198, 2391, 1197, 22417, 2714, 1170, 3937, 1186, 14801, 1643, 3453, 7751, 3399, 1303, 1125, 1606, 1116, 1183, 1128, 1651, 1524, 1186, 2315, 1299, 11858, 1186, 488, 125, 123, 124, 131, 1300, 1158, 2397, 3269, 1125, 25345, 14058, 4101, 1265, 1457, 106, 106, 145, 15958, 1162, 1167, 10179, 488, 106, 2029, 1606, 1116, 1183, 1128, 1651, 1524, 1299, 30749, 1186, 7639, 4658, 1189, 16248, 1186, 14248, 5007, 7658, 31987, 116, 1362, 1186, 19096, 1469, 1197, 3572, 1568, 1525, 1175, 1136, 1314, 1167, 5476, 1131, 1416, 1366, 1496, 5044, 1234, 1362, 2081, 1188, 12436, 121, 4466, 3572, 1568, 1525, 2004, 22645, 5943, 1913, 8102, 1234, 5693, 1125, 6840, 1690, 1362, 2074, 7059, 5610, 8541, 3471, 1150, 8185, 1125, 13091, 1576, 4466, 22945, 18800, 1508, 6349, 10152, 1234, 1300, 1207, 8574, 1125, 14439, 488, 3143, 1125, 1207, 2810, 1142, 12161, 106, 106, 142, 22855, 5391, 2518, 20659, 1186, 2567, 1158, 5633, 1348, 1125, 6161, 2071, 1170, 27103, 1282, 22966, 1606, 11486, 1524, 1167, 16371, 17286, 1197, 1606, 1116, 1183, 1128, 1651, 1524, 1856, 1318, 2540, 1973, 1125, 1964, 6728, 18424, 4787, 3213, 1186, 7576, 1986, 1129, 1282, 22966, 1781, 1132, 1287, 9770, 106, 106, 2029, 1606, 16644, 1123, 1651, 1524, 1299, 1170, 2076, 7433, 1125, 22945, 8553, 1723, 7670, 7639, 180, 1304, 1136, 4994, 106, 106, 8925, 2603, 2027, 26788, 12006, 1188, 9689, 488, 106, 142, 1494, 2915, 3403, 7366, 1473, 1215, 1197, 1606, 1116, 1183, 1128, 1651, 1524, 2004, 1913, 12469, 1125, 1152, 1137, 4084, 1297, 106, 106, 6880, 4033, 1125, 19341, 3023, 1186, 14248, 1299, 1335, 181, 1567, 1188, 19791, 1734, 5138, 12488, 1129, 7008, 1197, 9814, 1842, 1186, 1408, 1125, 4428, 1255, 12475, 14367, 9422, 1215, 1207, 3572, 1568, 11072, 106, 106, 4455, 12545, 1389, 3992, 14931, 1313, 1207, 3572, 1568, 1525, 2830, 1425, 1174, 4975, 1207, 3403, 1919, 3134, 1457, 106, 106, 26630, 1186, 24449, 106, 106, 17971, 29186, 172, 488, 106, 106, 6880, 4033, 1197, 1606, 1116, 1183, 1128, 1651, 1524, 1175, 20877, 1234, 1606, 3294, 1481, 1651, 1524, 1186, 24587, 116, 1299, 3598, 1303, 1215, 13041, 1419, 2315, 3486, 3047, 1317, 29186, 172, 1170, 14737, 6175, 1199, 1170, 1939, 488, 488, 106, 106, 4455, 1606, 1116, 1183, 1128, 1651, 1524, 1508, 8337, 1188, 1158, 2320, 1197, 18158, 191, 3566, 17561, 1190, 23640, 1362, 1186, 19134, 1571, 18158, 191, 3566, 17561, 1190, 1651, 17504, 1215, 21090, 8064, 1303, 3691, 1571, 8510, 5996, 2576, 11900, 1299, 6111, 1255, 23243, 1207, 8574, 1125, 14439, 6617, 1309, 1207, 9814, 1107, 9261, 3041, 488, 106, 106, 151, 1929, 10179, 1299, 1375, 1303, 1186, 3151, 3601, 2391, 1125, 22417, 1188, 10221, 1198, 4099, 1346, 1167, 1964, 10179, 2368, 2120, 1150, 19877, 1215, 1207, 7599, 6893, 121, 19571, 10179, 1299, 3598, 1303, 1188, 6284, 1165, 7464, 1383, 2726, 8580, 30576, 3728, 28192, 1362, 3091, 1183, 6631, 3559, 10096, 22008, 1170, 488, 1110, 1913, 7576, 24896, 1606, 1918, 1512, 1125, 1158, 4592, 1208, 4821, 106, 106, 4455, 1606, 1116, 1183, 1128, 1651, 1524, 1508, 29884, 1856, 1197, 1606, 20373, 11486, 28269, 2097, 1524, 1215, 1207, 12653, 1152, 1538, 19673, 192, 3567, 6542, 1167, 1964, 10179, 1299, 1338, 1327, 12779, 25629, 121, 1643, 13168, 1125, 14022, 5956, 20810, 1172, 4436, 1125, 17282, 2964, 24323, 9563, 1125, 1606, 3260, 1190, 4008, 2923, 4821, 106, 106, 1686, 2315, 488, 106, 4455, 1606, 1116, 1183, 1128, 1651, 1524, 1508, 8337, 1186, 488, 125, 123, 124, 131, 1300, 1158, 2397, 3269, 1125, 25345, 14058, 4101, 1265, 1346, 2648, 1186, 488, 125, 123, 124, 132, 2391, 1125, 10721, 1148, 488, 4763, 1227, 9221, 1197, 1293, 1399, 1634, 11725, 1145, 1457, 106, 106, 2606, 13956, 1125, 22945, 18800, 1125, 2262, 1606, 1116, 1183, 1128, 1651, 1524, 1299, 1931, 2369, 1125, 3203, 2165, 1125, 10548, 1167, 488, 488, 127, 128, 488, 123, 123, 123, 6464, 488, 12573, 3706, 1186, 3735, 1197, 9487, 6352, 15238, 1297, 4466, 1381, 2252, 2830, 1823, 1711, 25477, 1473, 7328, 10600, 2165, 1304, 1320, 7434, 3947, 1167, 488, 488, 124, 123, 123, 488, 123, 123, 123, 6464, 488, 12573, 3706, 1995, 3171, 20760, 10795, 1215, 1158, 3650, 1508, 11963, 1813, 2391, 1125, 5444, 177, 12246, 119, 1215, 4070, 1170, 1844, 1125, 18449, 4110, 1571, 8574, 1125, 14439, 2290, 22058, 2561, 1304, 21056, 1362, 1125, 3519, 20552, 3401, 23431, 1667, 1186, 9144, 1195, 1203, 1199, 1594, 1904, 5533, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 488, 106, 106, 1922, 1232, 25670, 106, 106, 2233, 1232, 16185, 27378, 106, 1924, 174, 28863, 106, 152, 1190, 120, 1613, 1439, 32001, 488, 106, 32000, 20036, 106, 140, 5145, 1183, 1128, 1651, 109, 1329, 8618, 192, 1481, 1651, 109, 1239, 1110, 29720, 1449, 3195, 12157, 1161, 1110, 13110, 15965, 1324, 1279, 2156, 1160, 7393, 10134, 1329, 13311, 1314, 1496, 11059, 14820, 9904, 1147, 24883, 1171, 2629, 4064, 3876, 24816, 3545, 11286, 1297, 106, 106, 24436, 106, 1924, 2156, 1160, 1602, 2023, 2629, 1296, 22945, 18800, 1329, 4157, 1149, 25759, 1226, 1110, 2102, 1907, 133, 1147, 17612, 3545, 1135, 16406, 4115, 1346, 15756, 4294, 15965, 1324, 1279, 2156, 1160, 2025, 11059, 8613, 2395, 1238, 7239, 1201, 1446, 1135, 3263, 1161, 13885, 29261, 1329, 2629, 3545, 13513, 1379, 11072, 106, 106, 1428, 488, 125, 123, 124, 127, 119, 1151, 30908, 1119, 5855, 18796, 17468, 17552, 1163, 1110, 1235, 1712, 1278, 13513, 109, 2142, 1806, 1355, 1110, 5589, 21318, 2629, 1226, 20762, 1124, 3586, 1297, 106, 106, 109, 142, 1183, 1128, 1651, 109, 1329, 1279, 2156, 1160, 13513, 190, 2025, 2629, 1792, 20676, 1226, 1135, 1940, 1907, 1147, 5756, 488, 125, 123, 124, 127, 1147, 29186, 172, 14153, 20213, 1163, 1970, 1296, 8618, 192, 1481, 1651, 109, 1329, 8618, 1273, 1190, 1651, 3107, 3545, 11286, 190, 4064, 1135, 3224, 4147, 3041, 1410, 1940, 3399, 1156, 13927, 1161, 5145, 1183, 1128, 1651, 109, 1147, 2315, 1463, 1147, 488, 125, 123, 124, 131, 1355, 1135, 25345, 14058, 4101, 19350, 2397, 3269, 121, 106, 106, 4602, 26806, 1149, 1171, 2179, 106, 140, 5145, 1183, 1128, 1651, 109, 1239, 3062, 1449, 1131, 9078, 1110, 16152, 12672, 5567, 30102, 116, 1329, 17666, 13110, 1324, 1279, 2156, 1160, 1175, 1136, 1314, 1171, 1131, 10134, 1496, 5137, 14820, 9904, 1324, 4784, 1329, 22937, 5375, 1279, 2156, 1525, 1537, 2023, 18947, 2979, 8428, 1446, 16127, 1201, 1329, 4246, 1446, 2017, 8541, 4250, 1307, 2143, 1228, 1972, 1576, 5375, 22945, 18800, 1393, 2491, 24674, 1355, 3876, 24816, 1163, 2810, 2993, 1230, 8148, 106, 106, 158, 1544, 5391, 1201, 17708, 1135, 22739, 1161, 24624, 3988, 1135, 4126, 119, 1135, 1235, 4299, 1146, 109, 7074, 119, 1171, 1135, 4789, 21810, 1161, 5145, 1183, 1128, 1651, 109, 1296, 1151, 29105, 1226, 1789, 3945, 121, 1350, 15285, 5452, 17403, 1135, 1189, 179, 5688, 1354, 1146, 7074, 121, 106, 106, 140, 8618, 1461, 1123, 1651, 109, 1239, 1135, 2994, 5035, 1161, 22945, 8553, 1663, 15965, 2155, 1324, 13311, 4994, 106, 106, 28146, 25879, 7633, 1163, 2179, 106, 158, 1544, 2337, 8544, 1449, 5145, 1183, 1128, 1651, 109, 1537, 14834, 1152, 1137, 1123, 2241, 106, 106, 1598, 2179, 1161, 16152, 16454, 1328, 1239, 15404, 2928, 2849, 1799, 1526, 11059, 4262, 29349, 1147, 4125, 1163, 1135, 2810, 12475, 13670, 1449, 1135, 1279, 2156, 3041, 106, 106, 1598, 22927, 1575, 4143, 1147, 1135, 1279, 2156, 1160, 1526, 3529, 1363, 1135, 2337, 1166, 5210, 106, 106, 15513, 1147, 4472, 1105, 4705, 1420, 106, 106, 1428, 29186, 172, 106, 106, 1598, 2179, 1161, 5145, 1183, 1128, 1651, 109, 3471, 7851, 8618, 192, 1481, 1651, 109, 1147, 18451, 116, 1463, 8395, 1449, 1135, 9197, 4940, 16822, 2315, 3486, 3047, 1147, 29186, 172, 1135, 12366, 2979, 6674, 488, 131, 119, 488, 125, 123, 124, 130, 121, 106, 106, 109, 142, 1183, 1128, 1651, 109, 1393, 2629, 7218, 1161, 17561, 1190, 1651, 28508, 1285, 1329, 1147, 18671, 1163, 17561, 1190, 1651, 18158, 191, 3566, 2629, 1449, 1135, 10215, 4064, 11286, 2996, 1410, 8603, 1239, 1163, 2810, 2993, 1230, 3876, 24816, 7181, 2095, 6517, 5032, 9731, 8148, 106, 106, 1598, 1187, 2179, 1463, 1940, 16214, 1147, 11286, 190, 1147, 10221, 1198, 4099, 1346, 1171, 1789, 2179, 10892, 2488, 3056, 6208, 121, 14320, 2179, 1463, 8395, 1147, 6284, 1165, 7464, 1383, 2726, 8580, 30576, 3728, 1535, 4741, 1329, 3091, 1183, 6631, 1192, 5997, 22255, 1238, 6674, 488, 131, 1463, 4494, 1135, 5886, 2528, 1161, 2460, 1123, 2758, 106, 106, 109, 142, 1183, 1128, 1651, 109, 1393, 8261, 1235, 23911, 1926, 25759, 109, 1449, 29186, 1119, 19342, 1171, 1789, 2179, 1239, 11064, 1943, 5527, 1410, 1721, 16140, 10305, 20810, 1172, 4436, 1125, 17282, 2964, 24323, 21866, 1905, 1235, 9046, 1190, 4008, 3590, 2758, 106, 106, 1428, 2315, 106, 109, 142, 1183, 1128, 1651, 109, 2025, 2629, 1147, 488, 125, 123, 124, 131, 1355, 1135, 25345, 14058, 4101, 19350, 2397, 3269, 119, 1171, 2491, 1147, 488, 125, 123, 124, 132, 3545, 1135, 8162, 1397, 488, 127, 128, 109, 1161, 1135, 1671, 7309, 1352, 7832, 4210, 3041, 106, 106, 2103, 1831, 1149, 22945, 18800, 2141, 5145, 1183, 1128, 1651, 109, 1526, 2270, 1147, 3337, 3162, 1147, 10548, 1171, 1110, 9746, 1161, 488, 127, 128, 119, 123, 123, 123, 29861, 1147, 4125, 1163, 2638, 1169, 5606, 1297, 5375, 9955, 1132, 3088, 1526, 1280, 10892, 1163, 11386, 3162, 1147, 10548, 1171, 1110, 9746, 1161, 488, 124, 123, 123, 119, 123, 123, 123, 6464, 1411, 5057, 23944, 8599, 1449, 3876, 1393, 8261, 3545, 1135, 1684, 21667, 1226, 5053, 4265, 1149, 3876, 24816, 2670, 1135, 10969, 1161, 24878, 1329, 23118, 2884, 1191, 1159, 10364, 25120, 3691, 121, 106, 106, 1891, 9520, 106, 106, 21320, 1959, 106, 106, 141, 180, 6898, 29720, 106, 106, 6913, 3685, 3582, 29720, 106, 1924, 2156, 1160, 106, 13001, 1712, 19399, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 140, 5145, 1183, 1128, 1651, 109, 1329, 8618, 192, 1481, 1651, 109, 1239, 1110, 29720, 1449, 3195, 12157, 1161, 1110, 13110, 15965, 1324, 1279, 2156, 1160, 7393, 10134, 1329, 13311, 1314, 1496, 11059, 14820, 9904, 1147, 24883, 1171, 2629, 4064, 3876, 24816, 3545, 11286, 1297, 106, 106, 24436, 106, 1924, 2156, 1160, 1602, 2023, 2629, 1296, 22945, 18800, 1329, 4157, 1149, 25759, 1226, 1110, 2102, 1907, 133, 1147, 17612, 3545, 1135, 16406, 4115, 1346, 15756, 4294, 15965, 1324, 1279, 2156, 1160, 2025, 11059, 8613, 2395, 1238, 7239, 1201, 1446, 1135, 3263, 1161, 13885, 29261, 1329, 2629, 3545, 13513, 1379, 11072, 106, 106, 1428, 488, 125, 123, 124, 127, 119, 1151, 30908, 1119, 5855, 18796, 17468, 17552, 1163, 1110, 1235, 1712, 1278, 13513, 109, 2142, 1806, 1355, 1110, 5589, 21318, 2629, 1226, 20762, 1124, 3586, 1297, 106, 106, 109, 142, 1183, 1128, 1651, 109, 1329, 1279, 2156, 1160, 13513, 190, 2025, 2629, 1792, 20676, 1226, 1135, 1940, 1907, 1147, 5756, 488, 125, 123, 124, 127, 1147, 29186, 172, 14153, 20213, 1163, 1970, 1296, 8618, 192, 1481, 1651, 109, 1329, 8618, 1273, 1190, 1651, 3107, 3545, 11286, 190, 4064, 1135, 3224, 4147, 3041, 1410, 1940, 3399, 1156, 13927, 1161, 5145, 1183, 1128, 1651, 109, 1147, 2315, 1463, 1147, 488, 125, 123, 124, 131, 1355, 1135, 25345, 14058, 4101, 19350, 2397, 3269, 121, 106, 106, 4602, 26806, 1149, 1171, 2179, 106, 140, 5145, 1183, 1128, 1651, 109, 1239, 3062, 1449, 1131, 9078, 1110, 16152, 12672, 5567, 30102, 116, 1329, 17666, 13110, 1324, 1279, 2156, 1160, 1175, 1136, 1314, 1171, 1131, 10134, 1496, 5137, 14820, 9904, 1324, 4784, 1329, 22937, 5375, 1279, 2156, 1525, 1537, 2023, 18947, 2979, 8428, 1446, 16127, 1201, 1329, 4246, 1446, 2017, 8541, 4250, 1307, 2143, 1228, 1972, 1576, 5375, 22945, 18800, 1393, 2491, 24674, 1355, 3876, 24816, 1163, 2810, 2993, 1230, 8148, 106, 106, 158, 1544, 5391, 1201, 17708, 1135, 22739, 1161, 24624, 3988, 1135, 4126, 119, 1135, 1235, 4299, 1146, 109, 7074, 119, 1171, 1135, 4789, 21810, 1161, 5145, 1183, 1128, 1651, 109, 1296, 1151, 29105, 1226, 1789, 3945, 121, 1350, 15285, 5452, 17403, 1135, 1189, 179, 5688, 1354, 1146, 7074, 121, 106, 106, 140, 8618, 1461, 1123, 1651, 109, 1239, 1135, 2994, 5035, 1161, 22945, 8553, 1663, 15965, 2155, 1324, 13311, 4994, 106, 106, 28146, 25879, 7633, 1163, 2179, 106, 158, 1544, 2337, 8544, 1449, 5145, 1183, 1128, 1651, 109, 1537, 14834, 1152, 1137, 1123, 2241, 106, 106, 1598, 2179, 1161, 16152, 16454, 1328, 1239, 15404, 2928, 2849, 1799, 1526, 11059, 4262, 29349, 1147, 4125, 1163, 1135, 2810, 12475, 13670, 1449, 1135, 1279, 2156, 3041, 106, 106, 1598, 22927, 1575, 4143, 1147, 1135, 1279, 2156, 1160, 1526, 3529, 1363, 1135, 2337, 1166, 5210, 106, 106, 15513, 1147, 4472, 1105, 4705, 1420, 106, 106, 1428, 29186, 172, 106, 106, 1598, 2179, 1161, 5145, 1183, 1128, 1651, 109, 3471, 7851, 8618, 192, 1481, 1651, 109, 1147, 18451, 116, 1463, 8395, 1449, 1135, 9197, 4940, 16822, 2315, 3486, 3047, 1147, 29186, 172, 1135, 12366, 2979, 6674, 488, 131, 119, 488, 125, 123, 124, 130, 121, 106, 106, 109, 142, 1183, 1128, 1651, 109, 1393, 2629, 7218, 1161, 17561, 1190, 1651, 28508, 1285, 1329, 1147, 18671, 1163, 17561, 1190, 1651, 18158, 191, 3566, 2629, 1449, 1135, 10215, 4064, 11286, 2996, 1410, 8603, 1239, 1163, 2810, 2993, 1230, 3876, 24816, 7181, 2095, 6517, 5032, 9731, 8148, 106, 106, 1598, 1187, 2179, 1463, 1940, 16214, 1147, 11286, 190, 1147, 10221, 1198, 4099, 1346, 1171, 1789, 2179, 10892, 2488, 3056, 6208, 121, 14320, 2179, 1463, 8395, 1147, 6284, 1165, 7464, 1383, 2726, 8580, 30576, 3728, 1535, 4741, 1329, 3091, 1183, 6631, 1192, 5997, 22255, 1238, 6674, 488, 131, 1463, 4494, 1135, 5886, 2528, 1161, 2460, 1123, 2758, 106, 106, 109, 142, 1183, 1128, 1651, 109, 1393, 8261, 1235, 23911, 1926, 25759, 109, 1449, 29186, 1119, 19342, 1171, 1789, 2179, 1239, 11064, 1943, 5527, 1410, 1721, 16140, 10305, 20810, 1172, 4436, 1125, 17282, 2964, 24323, 21866, 1905, 1235, 9046, 1190, 4008, 3590, 2758, 106, 106, 1428, 2315, 106, 109, 142, 1183, 1128, 1651, 109, 2025, 2629, 1147, 488, 125, 123, 124, 131, 1355, 1135, 25345, 14058, 4101, 19350, 2397, 3269, 119, 1171, 2491, 1147, 488, 125, 123, 124, 132, 3545, 1135, 8162, 1397, 488, 127, 128, 109, 1161, 1135, 1671, 7309, 1352, 7832, 4210, 3041, 106, 106, 2103, 1831, 1149, 22945, 18800, 2141, 5145, 1183, 1128, 1651, 109, 1526, 2270, 1147, 3337, 3162, 1147, 10548, 1171, 1110, 9746, 1161, 488, 127, 128, 119, 123, 123, 123, 29861, 1147, 4125, 1163, 2638, 1169, 5606, 1297, 5375, 9955, 1132, 3088, 1526, 1280, 10892, 1163, 11386, 3162, 1147, 10548, 1171, 1110, 9746, 1161, 488, 124, 123, 123, 119, 123, 123, 123, 6464, 1411, 5057, 23944, 8599, 1449, 3876, 1393, 8261, 3545, 1135, 1684, 21667, 1226, 5053, 4265, 1149, 3876, 24816, 2670, 1135, 10969, 1161, 24878, 1329, 23118, 2884, 1191, 1159, 10364, 25120, 3691, 121, 106, 106, 1891, 9520, 106, 106, 21320, 1959, 106, 106, 141, 180, 6898, 29720, 106, 106, 6913, 3685, 3582, 29720, 106, 1924, 2156, 1160, 106, 13001, 1712, 19399, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 157, 1242, 2460, 1124, 2049, 1463, 1151, 4950, 17071, 119, 9204, 1238, 7286, 488, 124, 127, 119, 488, 124, 132, 128, 125, 1147, 17676, 1269, 6037, 2482, 15671, 1171, 12743, 1238, 6384, 488, 124, 124, 119, 488, 124, 132, 132, 126, 1147, 2482, 4524, 1175, 2029, 2580, 6716, 1576, 106, 106, 145, 6417, 11114, 106, 106, 145, 6417, 106, 488, 124, 132, 130, 127, 133, 1410, 1200, 8799, 1161, 3758, 1128, 173, 2955, 1257, 23377, 106, 488, 124, 132, 130, 129, 133, 21369, 5683, 1257, 25566, 106, 488, 124, 132, 130, 130, 133, 9372, 9193, 1121, 7845, 1257, 7422, 106, 488, 124, 132, 130, 130, 133, 27746, 6200, 8230, 1257, 5612, 5308, 1608, 186, 106, 488, 124, 132, 130, 131, 133, 14770, 4717, 26312, 1135, 26907, 1257, 1173, 4481, 1433, 106, 488, 124, 132, 130, 131, 133, 26443, 1439, 2068, 4279, 1257, 11689, 190, 106, 488, 124, 132, 131, 123, 133, 22787, 26643, 1257, 16758, 106, 488, 124, 132, 131, 123, 133, 5262, 1214, 1171, 9496, 1257, 9496, 4787, 140, 6729, 186, 106, 488, 124, 132, 131, 123, 133, 1410, 8583, 1172, 27318, 1257, 17703, 1330, 161, 6883, 1214, 114, 29666, 30221, 106, 488, 124, 132, 131, 125, 133, 1863, 2525, 172, 1248, 10778, 106, 488, 124, 132, 131, 125, 133, 12270, 1171, 29584, 1257, 5535, 2548, 1548, 12744, 106, 488, 124, 132, 131, 125, 133, 7191, 26118, 1161, 29060, 1257, 1173, 178, 2771, 1352, 6883, 1214, 6660, 2439, 21466, 186, 106, 488, 124, 132, 131, 127, 133, 6604, 120, 28907, 120, 8396, 186, 1257, 1227, 15143, 2417, 120, 8396, 186, 106, 488, 124, 132, 131, 127, 133, 21831, 10313, 1257, 1198, 4166, 1419, 106, 488, 124, 132, 131, 128, 133, 25610, 179, 1731, 1257, 9412, 182, 106, 488, 124, 132, 131, 129, 133, 1325, 1439, 3276, 1591, 1257, 1918, 6271, 106, 488, 124, 132, 131, 129, 133, 3550, 11140, 196, 1257, 6188, 1328, 21878, 106, 488, 124, 132, 131, 130, 133, 10787, 9808, 22335, 29989, 1430, 1257, 21878, 106, 488, 124, 132, 131, 131, 133, 8125, 1269, 1395, 1782, 1257, 8128, 16860, 174, 2085, 106, 488, 124, 132, 131, 132, 133, 2941, 1108, 1104, 1446, 1135, 7022, 6429, 1839, 5212, 1147, 3032, 1263, 1269, 1306, 6693, 1257, 10623, 106, 488, 124, 132, 131, 132, 133, 1325, 2664, 1257, 9467, 106, 488, 124, 132, 132, 123, 133, 488, 125, 130, 1325, 1193, 1376, 15882, 1161, 27237, 2333, 1257, 9412, 9269, 106, 488, 124, 132, 132, 123, 133, 1410, 26907, 1518, 3579, 1257, 5421, 1154, 106, 488, 124, 132, 132, 125, 133, 11398, 11421, 3286, 1257, 10290, 106, 488, 124, 132, 132, 125, 133, 20445, 2502, 133, 7560, 1129, 3540, 4988, 1257, 1518, 2847, 1352, 2314, 1438, 106, 488, 124, 132, 132, 125, 133, 27400, 29675, 1163, 2133, 16057, 1257, 22946, 3226, 106, 488, 124, 132, 132, 125, 133, 1165, 5757, 1252, 1570, 1257, 1325, 1379, 1108, 18969, 1104, 106, 488, 124, 132, 132, 126, 133, 21594, 1171, 488, 124, 470, 125, 1257, 1352, 6883, 1214, 1252, 1848, 1262, 106, 106, 14712, 12902, 106, 488, 124, 132, 131, 124, 133, 1410, 3225, 1208, 1132, 1161, 9742, 3091, 4530, 1257, 9742, 3091, 4530, 106, 488, 124, 132, 131, 126, 133, 1248, 1272, 6713, 28566, 106, 488, 124, 132, 131, 128, 133, 3032, 179, 1490, 1254, 1245, 3818, 1200, 2252, 1257, 1173, 178, 2771, 8559, 2397, 1374, 1712, 106, 488, 124, 132, 131, 129, 133, 1165, 6857, 16788, 1257, 8346, 1123, 1140, 106, 488, 124, 132, 131, 130, 133, 1325, 1439, 178, 5173, 1257, 1173, 1396, 196, 30777, 1800, 1196, 106, 488, 124, 132, 131, 132, 133, 1410, 4273, 1105, 26344, 1257, 27142, 17561, 1651, 106, 488, 124, 132, 131, 132, 133, 1410, 1863, 1549, 1315, 1161, 2068, 5421, 1438, 1257, 2941, 1124, 3226, 106, 488, 124, 132, 132, 123, 133, 1410, 17617, 1257, 1222, 12607, 106, 488, 124, 132, 132, 123, 133, 10289, 21594, 1285, 14729, 1165, 6774, 1257, 1165, 4396, 16839, 1857, 1165, 1692, 176, 106, 488, 124, 132, 132, 124, 133, 1410, 3318, 1147, 1135, 15057, 1257, 5308, 1233, 1342, 1322, 186, 106, 488, 124, 132, 132, 125, 133, 21155, 8431, 1331, 1201, 1257, 13089, 176, 106, 488, 124, 132, 132, 125, 133, 1459, 1135, 14172, 1161, 1222, 16746, 133, 10273, 6832, 1257, 1222, 4746, 10676, 9193, 1141, 4384, 106, 106, 26722, 14520, 106, 106, 141, 7963, 1147, 7286, 488, 124, 132, 128, 125, 106, 2524, 1495, 1147, 6384, 488, 124, 132, 132, 126, 106, 2524, 1495, 1355, 488, 127, 123, 106, 2524, 1495, 1446, 1192, 31650, 106, 141, 7963, 1147, 17676, 22630, 106, 2524, 1495, 1147, 2482, 4524, 106, 13704, 1121, 2000, 2515, 2091, 1156, 2068, 5421, 1438, 106, 146, 2066, 1108, 4861, 12400, 1226, 10347, 4862, 1121, 106, 140, 16609, 3418, 17071, 106, 140, 16609, 16140, 17071, 32001, 488, 106, 32000, 20036, 106, 157, 1242, 2460, 1124, 2049, 1299, 1189, 19166, 5263, 5485, 5252, 1170, 488, 124, 127, 2578, 488, 124, 132, 128, 125, 1188, 17676, 1269, 6037, 2482, 15671, 1167, 19956, 1170, 488, 124, 124, 2798, 488, 124, 132, 132, 126, 1188, 2482, 4524, 1175, 15784, 7540, 1576, 106, 106, 145, 6417, 4134, 106, 106, 142, 7359, 106, 488, 124, 132, 130, 127, 1257, 1808, 1204, 1925, 1313, 1207, 2958, 2942, 17298, 12492, 1361, 1161, 3758, 1128, 173, 2955, 116, 1257, 23377, 106, 488, 124, 132, 130, 129, 1257, 21369, 5683, 1257, 25566, 106, 488, 124, 132, 130, 130, 1257, 9372, 9193, 1121, 7845, 1257, 7422, 106, 488, 124, 132, 130, 130, 1257, 1808, 27746, 1244, 3440, 1261, 1257, 5612, 5308, 1608, 186, 106, 488, 124, 132, 130, 131, 1257, 1808, 10447, 11536, 1125, 16135, 2160, 1175, 2702, 186, 4717, 26312, 1135, 26907, 116, 1257, 1173, 4481, 1433, 106, 488, 124, 132, 130, 131, 1257, 1643, 17498, 1263, 1245, 1125, 16135, 2160, 1175, 2951, 1217, 1439, 2068, 4279, 116, 1257, 11689, 190, 106, 488, 124, 132, 131, 123, 1257, 1808, 6831, 2007, 17436, 18185, 190, 1175, 3780, 1516, 26643, 116, 1257, 16758, 106, 488, 124, 132, 131, 123, 1257, 5262, 1214, 1171, 9496, 1257, 9496, 4787, 140, 6729, 186, 106, 488, 124, 132, 131, 123, 1257, 1548, 29522, 1227, 7804, 114, 185, 114, 3538, 17298, 8583, 1172, 27318, 1496, 1125, 20800, 1306, 1480, 7362, 1257, 17703, 1330, 161, 6883, 1214, 114, 29666, 30221, 106, 488, 124, 132, 131, 125, 1257, 1863, 2525, 172, 1248, 10778, 106, 488, 124, 132, 131, 125, 1257, 1808, 1922, 1623, 1227, 3937, 6574, 1841, 1171, 29584, 116, 1125, 8590, 29020, 1480, 1257, 5535, 2548, 1548, 12744, 106, 488, 124, 132, 131, 125, 1257, 7191, 26118, 1161, 29060, 1257, 1173, 178, 2771, 1352, 6883, 1214, 6660, 2439, 21466, 186, 7890, 3104, 1214, 1361, 3965, 184, 1230, 1147, 10548, 3577, 116, 106, 488, 124, 132, 131, 127, 1257, 6604, 120, 28907, 120, 8396, 186, 1257, 1227, 15143, 2417, 120, 8396, 186, 106, 488, 124, 132, 131, 127, 1257, 21831, 10313, 1257, 1198, 4166, 1419, 106, 488, 124, 132, 131, 128, 1257, 25610, 179, 1731, 1257, 9412, 182, 106, 488, 124, 132, 131, 129, 1257, 1204, 2564, 1575, 2264, 1217, 11560, 1439, 3276, 1591, 116, 1257, 1918, 6271, 106, 488, 124, 132, 131, 129, 1257, 11567, 1113, 10190, 1175, 5403, 11140, 22303, 1257, 6188, 1328, 21878, 106, 488, 124, 132, 131, 130, 1257, 10787, 9808, 22335, 29989, 1430, 1257, 21878, 106, 488, 124, 132, 131, 131, 1257, 488, 1125, 4172, 16155, 1180, 1257, 8128, 16860, 174, 2085, 106, 488, 124, 132, 131, 132, 1257, 2941, 1108, 1104, 1446, 1135, 7022, 6429, 1839, 5212, 1147, 3032, 1263, 1269, 1306, 6693, 1257, 10623, 106, 488, 124, 132, 131, 132, 1257, 1325, 2664, 1257, 9467, 106, 488, 124, 132, 132, 123, 1257, 488, 125, 130, 1325, 1193, 1376, 15882, 1161, 27237, 2333, 9321, 15410, 116, 1257, 9412, 9269, 106, 488, 124, 132, 132, 123, 1257, 1410, 26907, 1518, 3579, 1257, 5421, 1154, 106, 488, 124, 132, 132, 125, 1257, 11398, 11421, 3286, 1257, 10290, 106, 488, 124, 132, 132, 125, 1257, 20445, 2502, 133, 7560, 1129, 3540, 4988, 1257, 1518, 2847, 1352, 2314, 1438, 106, 488, 124, 132, 132, 125, 1257, 27400, 29675, 1163, 2133, 16057, 1257, 22946, 3226, 106, 488, 124, 132, 132, 125, 1257, 1165, 5757, 1252, 1570, 1257, 1325, 1379, 1108, 18969, 1104, 106, 488, 124, 132, 132, 126, 1257, 1814, 1131, 1380, 1167, 11028, 3835, 1273, 1171, 488, 124, 470, 125, 116, 1257, 1352, 6883, 1214, 1252, 1848, 1262, 106, 106, 159, 1819, 28084, 106, 488, 124, 132, 131, 124, 1257, 1410, 3225, 1208, 1132, 1161, 9742, 3091, 4530, 6713, 28566, 1257, 9742, 3091, 4530, 106, 488, 124, 132, 131, 126, 1257, 1248, 1272, 6713, 28566, 106, 488, 124, 132, 131, 128, 1257, 3032, 179, 1490, 1254, 1245, 3818, 1200, 2252, 6713, 28566, 1257, 1173, 178, 2771, 8559, 2397, 1374, 1712, 106, 488, 124, 132, 131, 129, 1257, 1808, 12060, 1121, 11048, 30367, 1125, 15034, 3835, 6857, 16788, 116, 6713, 28566, 1257, 8346, 1123, 1140, 106, 488, 124, 132, 131, 130, 1257, 1814, 1131, 1380, 1313, 1158, 1423, 177, 1575, 11560, 1439, 178, 5173, 116, 6713, 28566, 1257, 1173, 1396, 196, 30777, 1800, 1196, 106, 488, 124, 132, 131, 132, 1257, 1410, 4273, 1105, 26344, 6713, 28566, 1257, 27142, 17561, 1651, 106, 488, 124, 132, 131, 132, 1257, 1410, 1863, 1549, 1315, 1161, 2068, 5421, 1438, 6713, 28566, 1257, 2941, 1124, 3226, 106, 488, 124, 132, 132, 123, 1257, 31889, 1272, 1188, 1158, 13427, 5363, 1245, 17298, 17617, 116, 6713, 28566, 1257, 1222, 12607, 106, 488, 124, 132, 132, 123, 1257, 13457, 20198, 7194, 2494, 21594, 1285, 14729, 21594, 4495, 6713, 28566, 1257, 1165, 4396, 16839, 1857, 1165, 1692, 176, 106, 488, 124, 132, 132, 124, 1257, 1410, 3318, 1147, 1135, 15057, 3615, 2974, 5355, 116, 1257, 5308, 1233, 1342, 1322, 186, 106, 488, 124, 132, 132, 125, 1257, 21155, 8431, 1331, 1201, 6713, 28566, 1257, 13089, 176, 106, 488, 124, 132, 132, 125, 1257, 1459, 1135, 14172, 1161, 1222, 16746, 133, 10273, 6832, 6713, 28566, 1257, 28834, 121, 10676, 9193, 1141, 4384, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 128, 125, 106, 31133, 1467, 1186, 2798, 488, 124, 132, 132, 126, 106, 31133, 1467, 1188, 488, 127, 123, 2165, 106, 152, 1249, 1227, 1114, 7726, 106, 153, 3400, 1188, 17676, 22630, 106, 31133, 1467, 1188, 2482, 4524, 106, 3742, 1836, 4716, 3000, 2162, 244, 2068, 5421, 1438, 106, 146, 2066, 1108, 4861, 12400, 1227, 6005, 19166, 106, 3742, 1836, 8403, 1125, 9452, 106, 3742, 1836, 8403, 1125, 14022, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 157, 1242, 2460, 1124, 2049, 1299, 1189, 19166, 5263, 5485, 5252, 1170, 488, 124, 127, 2578, 488, 124, 132, 128, 125, 1188, 17676, 1269, 6037, 2482, 15671, 1167, 19956, 1170, 488, 124, 124, 2798, 488, 124, 132, 132, 126, 1188, 2482, 4524, 1175, 15784, 7540, 1576, 106, 106, 145, 6417, 4134, 106, 106, 142, 7359, 106, 488, 124, 132, 130, 127, 1257, 1808, 1204, 1925, 1313, 1207, 2958, 2942, 17298, 12492, 1361, 1161, 3758, 1128, 173, 2955, 116, 1257, 23377, 106, 488, 124, 132, 130, 129, 1257, 21369, 5683, 1257, 25566, 106, 488, 124, 132, 130, 130, 1257, 9372, 9193, 1121, 7845, 1257, 7422, 106, 488, 124, 132, 130, 130, 1257, 1808, 27746, 1244, 3440, 1261, 1257, 5612, 5308, 1608, 186, 106, 488, 124, 132, 130, 131, 1257, 1808, 10447, 11536, 1125, 16135, 2160, 1175, 2702, 186, 4717, 26312, 1135, 26907, 116, 1257, 1173, 4481, 1433, 106, 488, 124, 132, 130, 131, 1257, 1643, 17498, 1263, 1245, 1125, 16135, 2160, 1175, 2951, 1217, 1439, 2068, 4279, 116, 1257, 11689, 190, 106, 488, 124, 132, 131, 123, 1257, 1808, 6831, 2007, 17436, 18185, 190, 1175, 3780, 1516, 26643, 116, 1257, 16758, 106, 488, 124, 132, 131, 123, 1257, 5262, 1214, 1171, 9496, 1257, 9496, 4787, 140, 6729, 186, 106, 488, 124, 132, 131, 123, 1257, 1548, 29522, 1227, 7804, 114, 185, 114, 3538, 17298, 8583, 1172, 27318, 1496, 1125, 20800, 1306, 1480, 7362, 1257, 17703, 1330, 161, 6883, 1214, 114, 29666, 30221, 106, 488, 124, 132, 131, 125, 1257, 1863, 2525, 172, 1248, 10778, 106, 488, 124, 132, 131, 125, 1257, 1808, 1922, 1623, 1227, 3937, 6574, 1841, 1171, 29584, 116, 1125, 8590, 29020, 1480, 1257, 5535, 2548, 1548, 12744, 106, 488, 124, 132, 131, 125, 1257, 7191, 26118, 1161, 29060, 1257, 1173, 178, 2771, 1352, 6883, 1214, 6660, 2439, 21466, 186, 7890, 3104, 1214, 1361, 3965, 184, 1230, 1147, 10548, 3577, 116, 106, 488, 124, 132, 131, 127, 1257, 6604, 120, 28907, 120, 8396, 186, 1257, 1227, 15143, 2417, 120, 8396, 186, 106, 488, 124, 132, 131, 127, 1257, 21831, 10313, 1257, 1198, 4166, 1419, 106, 488, 124, 132, 131, 128, 1257, 25610, 179, 1731, 1257, 9412, 182, 106, 488, 124, 132, 131, 129, 1257, 1204, 2564, 1575, 2264, 1217, 11560, 1439, 3276, 1591, 116, 1257, 1918, 6271, 106, 488, 124, 132, 131, 129, 1257, 11567, 1113, 10190, 1175, 5403, 11140, 22303, 1257, 6188, 1328, 21878, 106, 488, 124, 132, 131, 130, 1257, 10787, 9808, 22335, 29989, 1430, 1257, 21878, 106, 488, 124, 132, 131, 131, 1257, 488, 1125, 4172, 16155, 1180, 1257, 8128, 16860, 174, 2085, 106, 488, 124, 132, 131, 132, 1257, 2941, 1108, 1104, 1446, 1135, 7022, 6429, 1839, 5212, 1147, 3032, 1263, 1269, 1306, 6693, 1257, 10623, 106, 488, 124, 132, 131, 132, 1257, 1325, 2664, 1257, 9467, 106, 488, 124, 132, 132, 123, 1257, 488, 125, 130, 1325, 1193, 1376, 15882, 1161, 27237, 2333, 9321, 15410, 116, 1257, 9412, 9269, 106, 488, 124, 132, 132, 123, 1257, 1410, 26907, 1518, 3579, 1257, 5421, 1154, 106, 488, 124, 132, 132, 125, 1257, 11398, 11421, 3286, 1257, 10290, 106, 488, 124, 132, 132, 125, 1257, 20445, 2502, 133, 7560, 1129, 3540, 4988, 1257, 1518, 2847, 1352, 2314, 1438, 106, 488, 124, 132, 132, 125, 1257, 27400, 29675, 1163, 2133, 16057, 1257, 22946, 3226, 106, 488, 124, 132, 132, 125, 1257, 1165, 5757, 1252, 1570, 1257, 1325, 1379, 1108, 18969, 1104, 106, 488, 124, 132, 132, 126, 1257, 1814, 1131, 1380, 1167, 11028, 3835, 1273, 1171, 488, 124, 470, 125, 116, 1257, 1352, 6883, 1214, 1252, 1848, 1262, 106, 106, 159, 1819, 28084, 106, 488, 124, 132, 131, 124, 1257, 1410, 3225, 1208, 1132, 1161, 9742, 3091, 4530, 6713, 28566, 1257, 9742, 3091, 4530, 106, 488, 124, 132, 131, 126, 1257, 1248, 1272, 6713, 28566, 106, 488, 124, 132, 131, 128, 1257, 3032, 179, 1490, 1254, 1245, 3818, 1200, 2252, 6713, 28566, 1257, 1173, 178, 2771, 8559, 2397, 1374, 1712, 106, 488, 124, 132, 131, 129, 1257, 1808, 12060, 1121, 11048, 30367, 1125, 15034, 3835, 6857, 16788, 116, 6713, 28566, 1257, 8346, 1123, 1140, 106, 488, 124, 132, 131, 130, 1257, 1814, 1131, 1380, 1313, 1158, 1423, 177, 1575, 11560, 1439, 178, 5173, 116, 6713, 28566, 1257, 1173, 1396, 196, 30777, 1800, 1196, 106, 488, 124, 132, 131, 132, 1257, 1410, 4273, 1105, 26344, 6713, 28566, 1257, 27142, 17561, 1651, 106, 488, 124, 132, 131, 132, 1257, 1410, 1863, 1549, 1315, 1161, 2068, 5421, 1438, 6713, 28566, 1257, 2941, 1124, 3226, 106, 488, 124, 132, 132, 123, 1257, 31889, 1272, 1188, 1158, 13427, 5363, 1245, 17298, 17617, 116, 6713, 28566, 1257, 1222, 12607, 106, 488, 124, 132, 132, 123, 1257, 13457, 20198, 7194, 2494, 21594, 1285, 14729, 21594, 4495, 6713, 28566, 1257, 1165, 4396, 16839, 1857, 1165, 1692, 176, 106, 488, 124, 132, 132, 124, 1257, 1410, 3318, 1147, 1135, 15057, 3615, 2974, 5355, 116, 1257, 5308, 1233, 1342, 1322, 186, 106, 488, 124, 132, 132, 125, 1257, 21155, 8431, 1331, 1201, 6713, 28566, 1257, 13089, 176, 106, 488, 124, 132, 132, 125, 1257, 1459, 1135, 14172, 1161, 1222, 16746, 133, 10273, 6832, 6713, 28566, 1257, 28834, 121, 10676, 9193, 1141, 4384, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1186, 2578, 488, 124, 132, 128, 125, 106, 31133, 1467, 1186, 2798, 488, 124, 132, 132, 126, 106, 31133, 1467, 1188, 488, 127, 123, 2165, 106, 152, 1249, 1227, 1114, 7726, 106, 153, 3400, 1188, 17676, 22630, 106, 31133, 1467, 1188, 2482, 4524, 106, 3742, 1836, 4716, 3000, 2162, 244, 2068, 5421, 1438, 106, 146, 2066, 1108, 4861, 12400, 1227, 6005, 19166, 106, 3742, 1836, 8403, 1125, 9452, 106, 3742, 1836, 8403, 1125, 14022, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 5675, 196, 1405, 2755, 2104, 24051, 1186, 11916, 1214, 116, 1299, 1189, 19166, 8403, 121, 106, 106, 141, 11741, 106, 5675, 196, 1405, 2755, 2104, 1299, 5252, 1186, 11916, 4654, 1768, 1844, 1909, 8787, 19034, 1842, 1188, 1158, 20008, 16802, 31280, 4017, 1167, 9900, 6349, 1186, 4083, 1980, 21339, 1125, 12103, 1188, 7507, 11247, 121, 1768, 1910, 6349, 1188, 2482, 4524, 18638, 1561, 9245, 119, 3227, 1199, 3747, 1313, 3203, 6406, 1188, 18865, 2850, 1167, 1281, 1557, 1214, 1186, 488, 124, 132, 131, 131, 1469, 10721, 9034, 6522, 180, 1233, 1456, 8301, 12829, 1158, 1622, 1197, 4092, 488, 124, 132, 132, 123, 119, 1170, 5495, 2368, 3173, 5738, 1188, 10221, 15486, 1167, 10721, 1836, 1281, 24389, 3042, 18812, 2079, 1197, 29865, 1188, 1158, 14022, 1167, 1317, 9452, 121, 1768, 1110, 19680, 1197, 15284, 29865, 1313, 1408, 1125, 488, 124, 128, 8196, 1167, 1110, 1844, 1408, 1125, 488, 129, 123, 1465, 1662, 1420, 1313, 1197, 18767, 8743, 4160, 1346, 2487, 1318, 27494, 1313, 1197, 29865, 4341, 2436, 1297, 106, 106, 145, 6417, 4134, 106, 106, 142, 7359, 106, 125, 123, 123, 123, 1257, 1814, 17761, 15124, 180, 1257, 1170, 19366, 106, 125, 123, 123, 125, 1257, 3433, 1662, 1420, 1257, 1170, 28067, 106, 125, 123, 123, 126, 1257, 1410, 9103, 1149, 10461, 14223, 1257, 3341, 18431, 106, 125, 123, 123, 126, 1257, 7934, 27734, 6687, 29183, 23859, 26438, 1286, 1257, 6764, 11482, 26901, 177, 106, 125, 123, 123, 127, 1257, 3190, 20318, 7331, 1207, 8973, 1257, 1170, 3185, 193, 26595, 1197, 2882, 19658, 106, 125, 123, 123, 128, 1257, 30697, 3091, 1213, 1257, 1282, 15896, 12243, 1125, 9560, 11320, 106, 125, 123, 123, 128, 1257, 1266, 1314, 1200, 4111, 1257, 1170, 9678, 106, 125, 123, 123, 129, 1257, 5144, 3690, 6590, 1257, 16135, 1134, 245, 1836, 1125, 1266, 6138, 141, 106, 125, 123, 124, 123, 1257, 1814, 1243, 2256, 1364, 1257, 4563, 1822, 1242, 106, 125, 123, 124, 124, 1257, 9810, 1255, 6378, 1257, 3341, 9615, 106, 125, 123, 124, 126, 1257, 18431, 8755, 1429, 1257, 7238, 25700, 28950, 4831, 106, 125, 123, 124, 129, 1257, 1410, 18178, 1199, 1257, 5826, 1539, 17519, 106, 106, 159, 1819, 28084, 106, 124, 132, 132, 131, 1257, 1548, 7071, 3118, 1105, 3615, 5540, 488, 126, 15956, 488, 124, 116, 1257, 1252, 11659, 106, 124, 132, 132, 132, 1257, 9467, 1175, 1955, 6362, 2576, 224, 1216, 1678, 9930, 1836, 1204, 6932, 6759, 116, 1257, 7238, 18324, 6266, 1204, 6932, 6759, 106, 124, 132, 132, 132, 1257, 2068, 1269, 5260, 5184, 1132, 3615, 5540, 488, 126, 15956, 488, 129, 116, 1257, 3341, 17303, 5523, 106, 124, 132, 132, 132, 120, 125, 123, 123, 125, 1257, 15496, 196, 2714, 1207, 1152, 1916, 4505, 1175, 1955, 13456, 1808, 12932, 7806, 6523, 1548, 13784, 1272, 1125, 15496, 1762, 1643, 3934, 1208, 1317, 2077, 1167, 10148, 1439, 1304, 13945, 116, 1257, 4787, 147, 2869, 1857, 185, 106, 124, 132, 132, 132, 120, 125, 123, 123, 126, 1257, 4511, 1158, 11495, 3551, 183, 3383, 1175, 126, 21299, 116, 1257, 4357, 193, 1214, 1637, 5863, 8220, 1120, 106, 125, 123, 123, 123, 1257, 2271, 4338, 3045, 1257, 17448, 23885, 1227, 13462, 3615, 5540, 488, 130, 15956, 1863, 21028, 24393, 1257, 26032, 1539, 1182, 196, 20453, 106, 125, 123, 123, 125, 1257, 11799, 177, 1269, 3615, 5540, 488, 124, 15956, 488, 124, 124, 116, 1257, 1170, 25468, 1222, 1249, 7730, 1596, 106, 125, 123, 123, 125, 120, 125, 123, 123, 126, 1257, 11528, 178, 2027, 3615, 5540, 488, 132, 21299, 488, 130, 1167, 488, 124, 131, 116, 1257, 7238, 6480, 5922, 11162, 106, 125, 123, 123, 126, 1257, 7204, 3024, 3615, 5540, 488, 132, 15956, 488, 125, 125, 116, 1257, 7238, 18769, 15785, 106, 125, 123, 123, 126, 1257, 488, 125, 127, 4898, 8290, 186, 1175, 126, 21299, 116, 1257, 7238, 12418, 6759, 106, 125, 123, 123, 127, 1257, 20761, 2058, 1257, 1653, 1134, 3464, 28630, 3615, 5540, 488, 124, 15956, 488, 124, 126, 116, 1257, 26032, 1252, 8683, 1712, 106, 125, 123, 123, 128, 120, 125, 123, 123, 131, 1257, 3190, 1403, 1230, 6842, 194, 4111, 1175, 125, 21299, 116, 1257, 13102, 1954, 1836, 11825, 6926, 1246, 106, 125, 123, 123, 128, 120, 125, 123, 123, 131, 1257, 19788, 12666, 1175, 127, 21299, 116, 1257, 1170, 28855, 7219, 189, 2673, 106, 125, 123, 123, 129, 1257, 1808, 11612, 1634, 3615, 5540, 488, 129, 15956, 488, 125, 125, 116, 1257, 4603, 9810, 28641, 106, 125, 123, 123, 130, 1257, 6046, 14524, 1175, 129, 21299, 116, 1257, 7238, 18065, 2066, 14815, 1245, 106, 125, 123, 123, 132, 120, 125, 123, 124, 124, 1257, 1808, 4390, 1250, 1125, 21440, 1175, 129, 21299, 116, 1257, 1170, 6248, 5017, 1199, 186, 106, 125, 123, 124, 124, 1257, 1997, 13152, 1175, 125, 21299, 116, 1257, 1170, 6248, 10623, 5386, 106, 125, 123, 124, 124, 1257, 4950, 11283, 1914, 16788, 3615, 5540, 488, 124, 15956, 488, 124, 116, 1257, 7238, 8242, 106, 125, 123, 124, 128, 1257, 23651, 1662, 1153, 1175, 126, 21299, 116, 1257, 28287, 106, 106, 28870, 5825, 106, 106, 106, 3742, 1836, 8403, 106, 5347, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 106, 153, 3400, 1186, 11916, 1214, 32001, 488, 106, 32000, 20036, 106, 5675, 196, 1405, 2755, 2104, 6256, 2589, 1147, 20008, 116, 1239, 1151, 4950, 17071, 121, 106, 106, 141, 180, 11114, 106, 5675, 196, 1405, 2755, 2104, 1463, 9204, 1147, 11916, 9236, 2133, 21605, 1355, 20008, 16802, 31280, 4017, 1171, 2491, 8627, 1296, 1110, 1135, 2078, 17071, 1147, 7507, 11247, 121, 2133, 6470, 11085, 1163, 2482, 4524, 1163, 30257, 1765, 3660, 1659, 1375, 4835, 5624, 1149, 1147, 3337, 18865, 2850, 15751, 1171, 1557, 1857, 1149, 1332, 16310, 6522, 180, 1233, 1456, 173, 1147, 488, 124, 132, 131, 131, 121, 5535, 1135, 8322, 488, 124, 132, 132, 123, 1285, 1135, 5495, 2055, 31157, 1147, 10221, 15486, 1171, 1135, 17071, 8492, 27824, 19847, 1238, 19175, 1147, 16140, 1171, 3418, 121, 2133, 1602, 9273, 16657, 19175, 1147, 2060, 488, 124, 128, 8196, 1171, 1602, 3062, 2060, 488, 129, 123, 5624, 2339, 1147, 16140, 28599, 3813, 1905, 5052, 1685, 4899, 1149, 1708, 11602, 106, 106, 145, 6417, 11114, 106, 106, 152, 28165, 106, 125, 123, 123, 123, 133, 1814, 8978, 29319, 1135, 14055, 106, 125, 123, 123, 125, 133, 3433, 1662, 1420, 133, 1135, 11622, 106, 125, 123, 123, 126, 133, 1410, 9103, 1149, 10461, 14223, 133, 9387, 18431, 106, 125, 123, 123, 126, 133, 7934, 27734, 6687, 29183, 133, 16820, 1867, 24498, 106, 125, 123, 123, 127, 133, 10185, 1661, 190, 1161, 1110, 4622, 1108, 1272, 18568, 1724, 18637, 133, 12386, 5818, 7673, 2964, 1121, 106, 125, 123, 123, 128, 133, 30697, 3091, 1213, 133, 9560, 11320, 30697, 106, 125, 123, 123, 128, 133, 1266, 1314, 1200, 4111, 133, 20773, 106, 125, 123, 123, 129, 133, 5144, 3690, 14258, 133, 1266, 6138, 141, 29989, 2111, 106, 125, 123, 124, 123, 133, 1814, 1243, 2256, 29319, 4563, 1822, 1242, 106, 125, 123, 124, 124, 133, 1410, 1248, 1255, 6660, 1626, 133, 9387, 9615, 106, 125, 123, 124, 126, 133, 18431, 8755, 1429, 133, 9595, 25700, 28950, 4831, 106, 125, 123, 124, 129, 133, 1410, 18178, 1199, 133, 5826, 1539, 17519, 106, 106, 14712, 12902, 106, 124, 132, 132, 131, 133, 1410, 1202, 2360, 3332, 27987, 3067, 488, 126, 14975, 488, 124, 3568, 1252, 11659, 106, 124, 132, 132, 132, 133, 9467, 1175, 1769, 6362, 1410, 6429, 1678, 9595, 1204, 6932, 6759, 3568, 9595, 18324, 6266, 1204, 6932, 6759, 106, 124, 132, 132, 132, 133, 2068, 1269, 5260, 5184, 1132, 27987, 3067, 488, 126, 14975, 488, 129, 3568, 9387, 17303, 5523, 106, 124, 132, 132, 132, 120, 125, 123, 123, 125, 133, 15496, 196, 1135, 1352, 1916, 1229, 8878, 4604, 1175, 1769, 13456, 1410, 1863, 2844, 2121, 16292, 4158, 2893, 3955, 25610, 1361, 16906, 1285, 26558, 3540, 3568, 4787, 147, 2869, 1857, 185, 106, 124, 132, 132, 132, 120, 125, 123, 123, 126, 133, 1410, 5206, 1325, 1149, 1175, 126, 6181, 13456, 3568, 4357, 193, 1214, 1637, 5863, 8220, 1120, 106, 125, 123, 123, 123, 133, 1410, 2271, 4338, 3045, 27987, 3067, 488, 130, 14975, 1863, 21028, 184, 3568, 26032, 1539, 1182, 196, 20453, 106, 125, 123, 123, 125, 133, 11799, 177, 1269, 27987, 3067, 488, 124, 14975, 488, 124, 124, 3568, 27796, 1222, 1249, 7730, 1596, 106, 125, 123, 123, 125, 120, 125, 123, 123, 126, 133, 30278, 27987, 3067, 488, 132, 6181, 13456, 488, 130, 1171, 488, 124, 131, 3568, 9595, 6480, 5922, 11162, 106, 125, 123, 123, 126, 133, 7204, 3024, 27987, 3067, 488, 132, 14975, 488, 125, 125, 3568, 9595, 18769, 15785, 106, 125, 123, 123, 126, 133, 488, 125, 127, 1175, 126, 6181, 13456, 3568, 9595, 12418, 6759, 106, 125, 123, 123, 127, 133, 20761, 2058, 27987, 3067, 488, 124, 14975, 488, 124, 126, 3568, 26032, 1252, 8683, 1712, 106, 125, 123, 123, 128, 120, 125, 123, 123, 131, 133, 3190, 1403, 1230, 6842, 194, 4111, 1175, 125, 6181, 13456, 3568, 24048, 3339, 11825, 6926, 1246, 106, 125, 123, 123, 128, 120, 125, 123, 123, 131, 133, 19788, 26916, 1175, 127, 6181, 13456, 3568, 1951, 12909, 10858, 7219, 189, 2673, 106, 125, 123, 123, 129, 133, 1165, 3306, 133, 1165, 6857, 2941, 2322, 29989, 1162, 27987, 3067, 488, 129, 14975, 488, 125, 125, 3568, 4603, 9810, 28641, 106, 125, 123, 123, 130, 133, 6046, 14524, 1175, 129, 6181, 13456, 3568, 9595, 18065, 2066, 14815, 1245, 106, 125, 123, 123, 132, 120, 125, 123, 124, 124, 133, 1410, 15155, 1171, 1135, 10764, 3540, 1175, 129, 6181, 13456, 3568, 31220, 6660, 158, 1199, 186, 106, 125, 123, 124, 124, 133, 1997, 13152, 1175, 125, 6181, 13456, 3568, 31220, 10623, 5386, 106, 125, 123, 124, 124, 133, 4950, 11283, 1914, 16788, 27987, 3067, 488, 124, 14975, 488, 124, 3568, 9595, 8242, 106, 125, 123, 124, 128, 133, 23651, 1662, 1153, 1175, 126, 6181, 13456, 3568, 28287, 106, 106, 26722, 14520, 106, 106, 106, 140, 16609, 17071, 106, 5347, 1161, 10486, 1375, 8599, 1175, 125, 123, 1276, 14851, 116, 106, 141, 2589, 1147, 20008, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 5675, 196, 1405, 2755, 2104, 6256, 2589, 1147, 20008, 116, 1239, 1151, 4950, 17071, 121, 106, 106, 141, 180, 11114, 106, 5675, 196, 1405, 2755, 2104, 1463, 9204, 1147, 11916, 9236, 2133, 21605, 1355, 20008, 16802, 31280, 4017, 1171, 2491, 8627, 1296, 1110, 1135, 2078, 17071, 1147, 7507, 11247, 121, 2133, 6470, 11085, 1163, 2482, 4524, 1163, 30257, 1765, 3660, 1659, 1375, 4835, 5624, 1149, 1147, 3337, 18865, 2850, 15751, 1171, 1557, 1857, 1149, 1332, 16310, 6522, 180, 1233, 1456, 173, 1147, 488, 124, 132, 131, 131, 121, 5535, 1135, 8322, 488, 124, 132, 132, 123, 1285, 1135, 5495, 2055, 31157, 1147, 10221, 15486, 1171, 1135, 17071, 8492, 27824, 19847, 1238, 19175, 1147, 16140, 1171, 3418, 121, 2133, 1602, 9273, 16657, 19175, 1147, 2060, 488, 124, 128, 8196, 1171, 1602, 3062, 2060, 488, 129, 123, 5624, 2339, 1147, 16140, 28599, 3813, 1905, 5052, 1685, 4899, 1149, 1708, 11602, 106, 106, 145, 6417, 11114, 106, 106, 152, 28165, 106, 125, 123, 123, 123, 133, 1814, 8978, 29319, 1135, 14055, 106, 125, 123, 123, 125, 133, 3433, 1662, 1420, 133, 1135, 11622, 106, 125, 123, 123, 126, 133, 1410, 9103, 1149, 10461, 14223, 133, 9387, 18431, 106, 125, 123, 123, 126, 133, 7934, 27734, 6687, 29183, 133, 16820, 1867, 24498, 106, 125, 123, 123, 127, 133, 10185, 1661, 190, 1161, 1110, 4622, 1108, 1272, 18568, 1724, 18637, 133, 12386, 5818, 7673, 2964, 1121, 106, 125, 123, 123, 128, 133, 30697, 3091, 1213, 133, 9560, 11320, 30697, 106, 125, 123, 123, 128, 133, 1266, 1314, 1200, 4111, 133, 20773, 106, 125, 123, 123, 129, 133, 5144, 3690, 14258, 133, 1266, 6138, 141, 29989, 2111, 106, 125, 123, 124, 123, 133, 1814, 1243, 2256, 29319, 4563, 1822, 1242, 106, 125, 123, 124, 124, 133, 1410, 1248, 1255, 6660, 1626, 133, 9387, 9615, 106, 125, 123, 124, 126, 133, 18431, 8755, 1429, 133, 9595, 25700, 28950, 4831, 106, 125, 123, 124, 129, 133, 1410, 18178, 1199, 133, 5826, 1539, 17519, 106, 106, 14712, 12902, 106, 124, 132, 132, 131, 133, 1410, 1202, 2360, 3332, 27987, 3067, 488, 126, 14975, 488, 124, 3568, 1252, 11659, 106, 124, 132, 132, 132, 133, 9467, 1175, 1769, 6362, 1410, 6429, 1678, 9595, 1204, 6932, 6759, 3568, 9595, 18324, 6266, 1204, 6932, 6759, 106, 124, 132, 132, 132, 133, 2068, 1269, 5260, 5184, 1132, 27987, 3067, 488, 126, 14975, 488, 129, 3568, 9387, 17303, 5523, 106, 124, 132, 132, 132, 120, 125, 123, 123, 125, 133, 15496, 196, 1135, 1352, 1916, 1229, 8878, 4604, 1175, 1769, 13456, 1410, 1863, 2844, 2121, 16292, 4158, 2893, 3955, 25610, 1361, 16906, 1285, 26558, 3540, 3568, 4787, 147, 2869, 1857, 185, 106, 124, 132, 132, 132, 120, 125, 123, 123, 126, 133, 1410, 5206, 1325, 1149, 1175, 126, 6181, 13456, 3568, 4357, 193, 1214, 1637, 5863, 8220, 1120, 106, 125, 123, 123, 123, 133, 1410, 2271, 4338, 3045, 27987, 3067, 488, 130, 14975, 1863, 21028, 184, 3568, 26032, 1539, 1182, 196, 20453, 106, 125, 123, 123, 125, 133, 11799, 177, 1269, 27987, 3067, 488, 124, 14975, 488, 124, 124, 3568, 27796, 1222, 1249, 7730, 1596, 106, 125, 123, 123, 125, 120, 125, 123, 123, 126, 133, 30278, 27987, 3067, 488, 132, 6181, 13456, 488, 130, 1171, 488, 124, 131, 3568, 9595, 6480, 5922, 11162, 106, 125, 123, 123, 126, 133, 7204, 3024, 27987, 3067, 488, 132, 14975, 488, 125, 125, 3568, 9595, 18769, 15785, 106, 125, 123, 123, 126, 133, 488, 125, 127, 1175, 126, 6181, 13456, 3568, 9595, 12418, 6759, 106, 125, 123, 123, 127, 133, 20761, 2058, 27987, 3067, 488, 124, 14975, 488, 124, 126, 3568, 26032, 1252, 8683, 1712, 106, 125, 123, 123, 128, 120, 125, 123, 123, 131, 133, 3190, 1403, 1230, 6842, 194, 4111, 1175, 125, 6181, 13456, 3568, 24048, 3339, 11825, 6926, 1246, 106, 125, 123, 123, 128, 120, 125, 123, 123, 131, 133, 19788, 26916, 1175, 127, 6181, 13456, 3568, 1951, 12909, 10858, 7219, 189, 2673, 106, 125, 123, 123, 129, 133, 1165, 3306, 133, 1165, 6857, 2941, 2322, 29989, 1162, 27987, 3067, 488, 129, 14975, 488, 125, 125, 3568, 4603, 9810, 28641, 106, 125, 123, 123, 130, 133, 6046, 14524, 1175, 129, 6181, 13456, 3568, 9595, 18065, 2066, 14815, 1245, 106, 125, 123, 123, 132, 120, 125, 123, 124, 124, 133, 1410, 15155, 1171, 1135, 10764, 3540, 1175, 129, 6181, 13456, 3568, 31220, 6660, 158, 1199, 186, 106, 125, 123, 124, 124, 133, 1997, 13152, 1175, 125, 6181, 13456, 3568, 31220, 10623, 5386, 106, 125, 123, 124, 124, 133, 4950, 11283, 1914, 16788, 27987, 3067, 488, 124, 14975, 488, 124, 3568, 9595, 8242, 106, 125, 123, 124, 128, 133, 23651, 1662, 1153, 1175, 126, 6181, 13456, 3568, 28287, 106, 106, 26722, 14520, 106, 106, 106, 140, 16609, 17071, 106, 5347, 1161, 10486, 1375, 8599, 1175, 125, 123, 1276, 14851, 116, 106, 141, 2589, 1147, 20008, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 146, 185, 16083, 1125, 1222, 1916, 3915, 1362, 7494, 1105, 1125, 1222, 1916, 3915, 1362, 17945, 16083, 1125, 1222, 1916, 3915, 1362, 13206, 1105, 1125, 1222, 1916, 3915, 1299, 1189, 22816, 2720, 1125, 1158, 1622, 1227, 488, 2271, 3463, 176, 6298, 488, 1167, 1227, 4319, 1227, 488, 2271, 31549, 6298, 488, 1357, 2985, 2682, 17215, 1188, 16062, 1387, 1180, 2648, 1125, 1222, 2042, 121, 106, 106, 141, 11741, 106, 106, 17696, 1314, 488, 106, 106, 5164, 5760, 7841, 2335, 4446, 1125, 5715, 30185, 1206, 4322, 1108, 7269, 119, 1167, 1594, 9159, 7457, 1913, 10290, 1125, 1222, 1916, 1374, 2944, 24926, 1125, 1222, 1916, 1374, 2944, 8446, 1188, 3458, 19185, 1125, 9313, 14279, 14782, 4607, 2624, 1197, 488, 11402, 31549, 6298, 488, 1170, 4256, 1223, 3951, 1125, 1222, 1916, 3915, 8021, 3441, 1132, 3847, 106, 106, 5164, 1281, 5760, 9308, 244, 2205, 6018, 1188, 1158, 14352, 1167, 1299, 12749, 1270, 7497, 1314, 1188, 9313, 14279, 106, 106, 2951, 8100, 1162, 1188, 1158, 8308, 2240, 488, 106, 106, 5164, 13300, 1188, 1158, 16934, 8308, 2240, 1167, 8295, 21090, 8308, 1303, 2391, 1227, 9209, 1125, 19277, 1109, 2193, 121, 106, 106, 158, 3015, 14881, 10329, 18868, 1575, 22378, 1255, 8691, 9439, 1124, 1255, 1114, 1452, 1117, 29529, 2694, 1285, 1527, 3031, 1189, 5598, 1125, 2492, 29101, 2752, 1167, 1125, 3040, 25698, 9321, 1187, 1166, 3807, 1148, 9765, 1167, 3040, 180, 30556, 1105, 7703, 1496, 1723, 2072, 1189, 8420, 1128, 8618, 1141, 1170, 17065, 1313, 21090, 1197, 14772, 1554, 109, 9512, 5285, 1123, 192, 14136, 29701, 2081, 9239, 1153, 1576, 106, 106, 216, 19277, 1109, 2193, 119, 1527, 1835, 1313, 1158, 9678, 1227, 14170, 1112, 1125, 22938, 1197, 2722, 1124, 2009, 1557, 1433, 13166, 1125, 1173, 3727, 7713, 1167, 1227, 3504, 2634, 1313, 1318, 3419, 3471, 1502, 1259, 4662, 11292, 24468, 176, 1147, 4037, 9203, 1575, 5721, 1397, 29701, 2271, 151, 1557, 1433, 189, 1255, 2841, 1167, 30735, 1259, 4662, 17121, 10737, 3432, 176, 6295, 1136, 4735, 1576, 1653, 15750, 1125, 2008, 2321, 1285, 1527, 1110, 20888, 1188, 30690, 1227, 31510, 1124, 1512, 25803, 1125, 19277, 1109, 2193, 121, 106, 106, 1686, 488, 124, 125, 123, 127, 119, 2391, 1227, 1114, 2120, 1272, 1125, 1158, 1116, 4355, 1207, 8691, 1485, 10072, 16702, 1508, 1776, 14093, 1188, 21804, 17215, 1125, 1198, 4954, 1104, 1293, 2162, 1374, 1125, 3859, 249, 27290, 1357, 1299, 1110, 1255, 255, 185, 1374, 4610, 1125, 1158, 8308, 29476, 1293, 185, 16083, 2435, 3221, 3042, 1170, 6513, 1125, 16888, 6381, 8566, 14807, 1125, 1158, 10538, 28808, 1125, 9313, 6712, 3143, 1125, 1170, 29777, 1313, 1594, 28896, 2391, 1125, 5464, 1186, 12350, 1293, 2162, 1374, 16893, 1723, 22203, 3365, 1170, 28270, 10028, 1188, 21804, 17215, 1125, 9313, 1312, 1306, 1796, 7653, 1125, 1352, 3706, 2886, 2944, 1357, 1299, 1189, 1125, 1909, 15913, 1675, 5068, 106, 106, 2606, 1859, 1293, 2162, 1374, 1125, 3859, 249, 4930, 1805, 6106, 1188, 19277, 1109, 2193, 121, 1293, 185, 16083, 2368, 22473, 3042, 1317, 2593, 1128, 1227, 28679, 6780, 1125, 5421, 15167, 3143, 1125, 3937, 19829, 1158, 8691, 5161, 1440, 1357, 2435, 1299, 3406, 3502, 106, 106, 159, 2734, 10032, 1207, 1127, 1979, 1104, 1227, 1691, 1573, 1450, 2585, 3618, 1913, 1275, 10672, 244, 1158, 8691, 5161, 26956, 1215, 1170, 2593, 1128, 1256, 1271, 7932, 2891, 4280, 29252, 7230, 1964, 2666, 1432, 2228, 1303, 1167, 19872, 1188, 1293, 185, 16083, 1318, 11266, 8126, 24019, 1256, 3365, 7988, 119, 1362, 3042, 2435, 20261, 1125, 8753, 1170, 8595, 1125, 1964, 10838, 3502, 106, 106, 1686, 488, 124, 125, 123, 130, 119, 1170, 2593, 1128, 1227, 28679, 11933, 1214, 2008, 12420, 1167, 1293, 185, 1132, 2114, 1357, 1584, 1344, 1189, 6273, 1188, 11188, 119, 1186, 27565, 1256, 12218, 1594, 5464, 1186, 12350, 1653, 488, 124, 125, 123, 131, 119, 1527, 9616, 1188, 9313, 6712, 1167, 6019, 1158, 8691, 1244, 1125, 16888, 6381, 1234, 1188, 6927, 1125, 1539, 237, 2952, 2114, 2682, 17215, 1125, 9313, 6712, 1357, 1299, 19357, 18305, 6416, 1187, 20304, 1227, 1455, 2683, 244, 1167, 1227, 11594, 121, 106, 106, 8778, 1231, 1188, 10399, 2645, 1273, 1128, 488, 106, 106, 161, 1201, 488, 124, 125, 123, 128, 119, 1293, 185, 1132, 2114, 1357, 3031, 6525, 27441, 1167, 1357, 3618, 9365, 1125, 5087, 2882, 1571, 8308, 3392, 2985, 18640, 2682, 17215, 1125, 16062, 1387, 8318, 22926, 2114, 4345, 4607, 15982, 1527, 7457, 1913, 2682, 17215, 1125, 14163, 1141, 1362, 1188, 1293, 8851, 17566, 1723, 1527, 10515, 12907, 1304, 4260, 16095, 106, 106, 159, 2607, 3617, 2750, 1561, 1458, 1416, 2287, 119, 1527, 11051, 1767, 1594, 28565, 7551, 1186, 5169, 1125, 1561, 3828, 13003, 18407, 1357, 1170, 11680, 2290, 1158, 9678, 1227, 24926, 28370, 1244, 4148, 22238, 1202, 2469, 176, 2305, 6415, 1110, 14367, 4568, 13488, 3054, 1227, 28679, 27546, 1237, 1129, 7983, 8501, 1170, 1859, 21726, 1207, 28565, 19992, 1125, 16062, 1387, 1180, 1167, 1125, 1518, 2930, 175, 3847, 106, 106, 140, 2136, 1594, 5464, 1186, 6556, 1527, 18764, 2079, 488, 124, 125, 123, 132, 10399, 2645, 1273, 1128, 1125, 1222, 2042, 121, 106, 106, 216, 1561, 27688, 1527, 11680, 1125, 5087, 11520, 1317, 15327, 1125, 9313, 14279, 106, 106, 20634, 1167, 5474, 488, 106, 106, 142, 2495, 178, 244, 2720, 1227, 2271, 31549, 6298, 106, 152, 1142, 4192, 2720, 1227, 2271, 31549, 6298, 106, 224, 193, 17215, 1125, 1222, 2042, 106, 224, 193, 17215, 22187, 1227, 2271, 31549, 6298, 106, 155, 7849, 1902, 1125, 1158, 16934, 8308, 2240, 106, 142, 2607, 244, 1227, 2271, 31549, 6298, 106, 155, 7849, 1902, 1125, 1158, 25552, 1360, 28615, 1167, 4123, 1314, 32001, 488, 106, 32000, 20036, 106, 146, 185, 16083, 1125, 1222, 1916, 1374, 2944, 1959, 5388, 1296, 7494, 1105, 1125, 1222, 1916, 3915, 1329, 17945, 16083, 1125, 1222, 1916, 3915, 1329, 13206, 1105, 1125, 1222, 1916, 1374, 2944, 1463, 1110, 9197, 14511, 8017, 1446, 1135, 8322, 488, 124, 125, 1276, 1171, 5756, 488, 124, 126, 1276, 14917, 1429, 2000, 11462, 1296, 1138, 21681, 1161, 16062, 1387, 1180, 1171, 6470, 1161, 1222, 2042, 121, 106, 106, 141, 180, 11114, 106, 106, 17696, 1109, 106, 106, 3780, 1463, 2346, 1163, 1280, 1446, 1110, 4772, 1161, 3810, 6707, 2818, 1139, 3367, 6357, 1324, 1765, 11432, 3026, 10290, 1125, 1222, 1916, 1374, 2944, 1115, 1404, 1161, 1222, 1916, 1374, 2944, 8452, 1110, 4013, 12851, 4209, 1446, 9313, 14279, 7191, 4607, 11502, 1446, 1135, 488, 124, 131, 1276, 14851, 5912, 1386, 5559, 1446, 1222, 1916, 3915, 8021, 3441, 1132, 3847, 106, 106, 3780, 8395, 1269, 14874, 9360, 1163, 14352, 1355, 1110, 6176, 7227, 1171, 7905, 1110, 22416, 1355, 9313, 14279, 106, 106, 2951, 8100, 1162, 1147, 1135, 10148, 1153, 2240, 106, 106, 3780, 5868, 1910, 1147, 1135, 14560, 1276, 10148, 1153, 2240, 1171, 11179, 1135, 2669, 1153, 4744, 26017, 3545, 1135, 26720, 1315, 1161, 19277, 1109, 2193, 121, 106, 106, 8321, 8756, 1163, 1135, 13748, 1212, 18868, 1575, 22378, 1255, 8691, 9439, 1124, 1255, 1114, 1452, 1117, 29529, 2694, 1285, 1386, 1463, 9517, 1296, 1110, 1618, 1161, 19590, 3901, 1171, 2913, 5080, 119, 1663, 1959, 1110, 15713, 1107, 1235, 3804, 1135, 4674, 1147, 1135, 14136, 26017, 4095, 106, 106, 1428, 19277, 1109, 2193, 119, 1386, 14010, 1135, 1270, 1445, 1161, 1135, 11849, 1161, 1135, 11410, 196, 1918, 1433, 13166, 1161, 2499, 173, 7713, 1171, 1135, 1270, 1445, 1161, 4129, 11849, 121, 1459, 2484, 1708, 5899, 1386, 3512, 1589, 1147, 1135, 11827, 1161, 1135, 14136, 31510, 2528, 1161, 19277, 1109, 2193, 121, 106, 106, 143, 6129, 1135, 1264, 11821, 1161, 1135, 5100, 1147, 488, 124, 125, 123, 127, 119, 17382, 1156, 1169, 1380, 190, 2025, 22105, 13201, 1163, 1135, 1138, 21681, 1161, 1198, 4954, 1346, 1293, 2162, 1374, 1125, 3859, 249, 27290, 2000, 1463, 1135, 6970, 1270, 172, 27645, 1161, 1135, 2669, 1153, 29476, 1293, 185, 16083, 7750, 2667, 1226, 1135, 3228, 1161, 3281, 1204, 6381, 1346, 1135, 14807, 13811, 1161, 1135, 5411, 2718, 5663, 1161, 9313, 6712, 1163, 6435, 1341, 2441, 1163, 1765, 11849, 1147, 12350, 1293, 2162, 1374, 29760, 1663, 2969, 9486, 1163, 4641, 1341, 1163, 1135, 1138, 21681, 1161, 9313, 6712, 1306, 1796, 7653, 1125, 1352, 3706, 2886, 2944, 1110, 6195, 5467, 121, 106, 106, 18628, 1293, 2162, 1374, 1361, 6775, 1147, 19277, 1109, 2193, 1147, 488, 124, 125, 123, 129, 119, 1293, 185, 16083, 7709, 8781, 1163, 1135, 1202, 2249, 1361, 3999, 1230, 6780, 1125, 5421, 15167, 1163, 29420, 1135, 1169, 1380, 119, 1758, 1463, 19147, 121, 6067, 1135, 1691, 3583, 1446, 1135, 1691, 3312, 196, 2468, 1135, 1169, 1380, 2055, 2023, 1290, 1172, 1108, 18703, 2019, 1559, 1171, 12803, 1293, 185, 16083, 1110, 3564, 3830, 1161, 6267, 1329, 1135, 3620, 1161, 1789, 25111, 121, 106, 106, 1428, 488, 124, 125, 123, 130, 119, 1135, 1202, 2249, 1361, 3999, 1230, 18919, 2484, 7408, 1171, 1293, 185, 1132, 2114, 1238, 1765, 2659, 1163, 11188, 119, 9553, 1163, 12350, 1459, 488, 124, 125, 123, 131, 119, 1386, 19530, 1147, 9313, 1312, 1171, 12031, 1135, 1169, 1380, 1161, 3281, 29529, 1623, 1163, 6927, 1125, 1539, 237, 2952, 2114, 1135, 1138, 21681, 1161, 9313, 6712, 2000, 24402, 1156, 2667, 1324, 1135, 1455, 5185, 1171, 1135, 16817, 106, 106, 144, 2995, 1162, 1163, 1135, 11634, 2645, 1273, 1230, 106, 106, 2233, 1615, 488, 124, 125, 123, 128, 119, 1293, 185, 1132, 2114, 2000, 1463, 10396, 1432, 4245, 1171, 2055, 6166, 2717, 2882, 1163, 1135, 2669, 1153, 1217, 2563, 1463, 21247, 1138, 21681, 1161, 16062, 1387, 8318, 7191, 4607, 11502, 14416, 19466, 1269, 6543, 1163, 2667, 1296, 1138, 21681, 1161, 14163, 4910, 1153, 1329, 1293, 8851, 1347, 121, 106, 106, 2103, 1807, 5150, 2470, 1765, 1458, 1168, 2287, 119, 5404, 1163, 1765, 25429, 1433, 1171, 9074, 1419, 1238, 1135, 5480, 1115, 1404, 4148, 22238, 1202, 2469, 176, 1762, 1386, 3936, 1765, 28565, 25593, 8265, 1135, 12333, 1161, 1202, 2249, 27546, 1237, 1129, 7983, 119, 2000, 23799, 1156, 1135, 28565, 1104, 1104, 1161, 16062, 1387, 1180, 1171, 1518, 2930, 175, 3847, 106, 106, 160, 1614, 1765, 1559, 1163, 6556, 1386, 13196, 1135, 1138, 21681, 1766, 1161, 1222, 2042, 3575, 488, 124, 125, 123, 132, 121, 106, 106, 5395, 1765, 6775, 119, 1386, 3936, 2717, 18782, 1163, 1135, 17632, 1161, 9313, 14279, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 146, 185, 16083, 1125, 1222, 1916, 1374, 2944, 1959, 5388, 1296, 7494, 1105, 1125, 1222, 1916, 3915, 1329, 17945, 16083, 1125, 1222, 1916, 3915, 1329, 13206, 1105, 1125, 1222, 1916, 1374, 2944, 1463, 1110, 9197, 14511, 8017, 1446, 1135, 8322, 488, 124, 125, 1276, 1171, 5756, 488, 124, 126, 1276, 14917, 1429, 2000, 11462, 1296, 1138, 21681, 1161, 16062, 1387, 1180, 1171, 6470, 1161, 1222, 2042, 121, 106, 106, 141, 180, 11114, 106, 106, 17696, 1109, 106, 106, 3780, 1463, 2346, 1163, 1280, 1446, 1110, 4772, 1161, 3810, 6707, 2818, 1139, 3367, 6357, 1324, 1765, 11432, 3026, 10290, 1125, 1222, 1916, 1374, 2944, 1115, 1404, 1161, 1222, 1916, 1374, 2944, 8452, 1110, 4013, 12851, 4209, 1446, 9313, 14279, 7191, 4607, 11502, 1446, 1135, 488, 124, 131, 1276, 14851, 5912, 1386, 5559, 1446, 1222, 1916, 3915, 8021, 3441, 1132, 3847, 106, 106, 3780, 8395, 1269, 14874, 9360, 1163, 14352, 1355, 1110, 6176, 7227, 1171, 7905, 1110, 22416, 1355, 9313, 14279, 106, 106, 2951, 8100, 1162, 1147, 1135, 10148, 1153, 2240, 106, 106, 3780, 5868, 1910, 1147, 1135, 14560, 1276, 10148, 1153, 2240, 1171, 11179, 1135, 2669, 1153, 4744, 26017, 3545, 1135, 26720, 1315, 1161, 19277, 1109, 2193, 121, 106, 106, 8321, 8756, 1163, 1135, 13748, 1212, 18868, 1575, 22378, 1255, 8691, 9439, 1124, 1255, 1114, 1452, 1117, 29529, 2694, 1285, 1386, 1463, 9517, 1296, 1110, 1618, 1161, 19590, 3901, 1171, 2913, 5080, 119, 1663, 1959, 1110, 15713, 1107, 1235, 3804, 1135, 4674, 1147, 1135, 14136, 26017, 4095, 106, 106, 1428, 19277, 1109, 2193, 119, 1386, 14010, 1135, 1270, 1445, 1161, 1135, 11849, 1161, 1135, 11410, 196, 1918, 1433, 13166, 1161, 2499, 173, 7713, 1171, 1135, 1270, 1445, 1161, 4129, 11849, 121, 1459, 2484, 1708, 5899, 1386, 3512, 1589, 1147, 1135, 11827, 1161, 1135, 14136, 31510, 2528, 1161, 19277, 1109, 2193, 121, 106, 106, 143, 6129, 1135, 1264, 11821, 1161, 1135, 5100, 1147, 488, 124, 125, 123, 127, 119, 17382, 1156, 1169, 1380, 190, 2025, 22105, 13201, 1163, 1135, 1138, 21681, 1161, 1198, 4954, 1346, 1293, 2162, 1374, 1125, 3859, 249, 27290, 2000, 1463, 1135, 6970, 1270, 172, 27645, 1161, 1135, 2669, 1153, 29476, 1293, 185, 16083, 7750, 2667, 1226, 1135, 3228, 1161, 3281, 1204, 6381, 1346, 1135, 14807, 13811, 1161, 1135, 5411, 2718, 5663, 1161, 9313, 6712, 1163, 6435, 1341, 2441, 1163, 1765, 11849, 1147, 12350, 1293, 2162, 1374, 29760, 1663, 2969, 9486, 1163, 4641, 1341, 1163, 1135, 1138, 21681, 1161, 9313, 6712, 1306, 1796, 7653, 1125, 1352, 3706, 2886, 2944, 1110, 6195, 5467, 121, 106, 106, 18628, 1293, 2162, 1374, 1361, 6775, 1147, 19277, 1109, 2193, 1147, 488, 124, 125, 123, 129, 119, 1293, 185, 16083, 7709, 8781, 1163, 1135, 1202, 2249, 1361, 3999, 1230, 6780, 1125, 5421, 15167, 1163, 29420, 1135, 1169, 1380, 119, 1758, 1463, 19147, 121, 6067, 1135, 1691, 3583, 1446, 1135, 1691, 3312, 196, 2468, 1135, 1169, 1380, 2055, 2023, 1290, 1172, 1108, 18703, 2019, 1559, 1171, 12803, 1293, 185, 16083, 1110, 3564, 3830, 1161, 6267, 1329, 1135, 3620, 1161, 1789, 25111, 121, 106, 106, 1428, 488, 124, 125, 123, 130, 119, 1135, 1202, 2249, 1361, 3999, 1230, 18919, 2484, 7408, 1171, 1293, 185, 1132, 2114, 1238, 1765, 2659, 1163, 11188, 119, 9553, 1163, 12350, 1459, 488, 124, 125, 123, 131, 119, 1386, 19530, 1147, 9313, 1312, 1171, 12031, 1135, 1169, 1380, 1161, 3281, 29529, 1623, 1163, 6927, 1125, 1539, 237, 2952, 2114, 1135, 1138, 21681, 1161, 9313, 6712, 2000, 24402, 1156, 2667, 1324, 1135, 1455, 5185, 1171, 1135, 16817, 106, 106, 144, 2995, 1162, 1163, 1135, 11634, 2645, 1273, 1230, 106, 106, 2233, 1615, 488, 124, 125, 123, 128, 119, 1293, 185, 1132, 2114, 2000, 1463, 10396, 1432, 4245, 1171, 2055, 6166, 2717, 2882, 1163, 1135, 2669, 1153, 1217, 2563, 1463, 21247, 1138, 21681, 1161, 16062, 1387, 8318, 7191, 4607, 11502, 14416, 19466, 1269, 6543, 1163, 2667, 1296, 1138, 21681, 1161, 14163, 4910, 1153, 1329, 1293, 8851, 1347, 121, 106, 106, 2103, 1807, 5150, 2470, 1765, 1458, 1168, 2287, 119, 5404, 1163, 1765, 25429, 1433, 1171, 9074, 1419, 1238, 1135, 5480, 1115, 1404, 4148, 22238, 1202, 2469, 176, 1762, 1386, 3936, 1765, 28565, 25593, 8265, 1135, 12333, 1161, 1202, 2249, 27546, 1237, 1129, 7983, 119, 2000, 23799, 1156, 1135, 28565, 1104, 1104, 1161, 16062, 1387, 1180, 1171, 1518, 2930, 175, 3847, 106, 106, 160, 1614, 1765, 1559, 1163, 6556, 1386, 13196, 1135, 1138, 21681, 1766, 1161, 1222, 2042, 3575, 488, 124, 125, 123, 132, 121, 106, 106, 5395, 1765, 6775, 119, 1386, 3936, 2717, 18782, 1163, 1135, 17632, 1161, 9313, 14279, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 1753, 1217, 1824, 1122, 2078, 4880, 6432, 1132, 1135, 2078, 1161, 8346, 1707, 14727, 1108, 116, 1239, 1110, 1135, 2078, 8452, 1147, 8346, 1707, 14727, 1108, 6574, 1265, 1161, 1233, 3049, 1108, 1496, 7927, 2305, 106, 106, 24436, 106, 13106, 1156, 1147, 488, 124, 131, 129, 130, 119, 1135, 1135, 2078, 19562, 3337, 27754, 133, 3025, 172, 1171, 2017, 10709, 1135, 2078, 6907, 1168, 1346, 1499, 3890, 2489, 1285, 1171, 1106, 8602, 1410, 3381, 2064, 25162, 1238, 1135, 3224, 1865, 1147, 488, 124, 132, 124, 124, 119, 1463, 15726, 30505, 3545, 5055, 6832, 4988, 134, 1135, 1624, 1135, 1128, 1659, 7406, 1147, 488, 124, 132, 128, 125, 119, 13773, 2026, 1135, 6904, 7939, 1321, 1839, 3024, 1401, 2415, 29476, 1410, 3810, 1233, 10713, 2104, 16965, 1548, 29891, 1758, 11462, 1296, 1110, 5076, 18937, 2979, 1135, 26735, 119, 1239, 7455, 2629, 1296, 1110, 18937, 1226, 5349, 1620, 2489, 1297, 106, 106, 151, 2177, 1861, 106, 145, 1687, 197, 8471, 185, 1243, 133, 1222, 1141, 8346, 1707, 14727, 1944, 1410, 2078, 1323, 1110, 10662, 1163, 2019, 5517, 1446, 2019, 5333, 185, 1972, 1163, 2019, 26735, 2470, 5055, 6832, 21979, 1753, 1217, 191, 2528, 1289, 8346, 1707, 14727, 4414, 1222, 11772, 2765, 8346, 1707, 14727, 1108, 488, 124, 132, 131, 124, 106, 147, 1220, 7480, 121, 1306, 20877, 133, 1293, 1104, 1130, 25558, 5452, 1252, 14111, 1144, 1187, 9233, 1333, 1224, 1108, 16180, 1410, 2078, 1323, 1135, 2936, 4817, 1124, 5517, 1161, 1135, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 488, 124, 132, 127, 128, 120, 124, 132, 131, 131, 121, 6973, 14654, 1208, 7632, 2021, 6760, 14726, 119, 8346, 1707, 14727, 1108, 488, 124, 132, 132, 126, 121, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 133, 488, 124, 123, 123, 31294, 1161, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1323, 1192, 8921, 19727, 1985, 6580, 2392, 8346, 1707, 14727, 1108, 488, 124, 132, 129, 130, 121, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 133, 488, 124, 123, 123, 31294, 1161, 10161, 172, 1355, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1323, 1110, 13047, 1626, 121, 8346, 1707, 14727, 1108, 488, 124, 132, 130, 125, 121, 106, 149, 10713, 8408, 6660, 3030, 1325, 12169, 1140, 1507, 133, 488, 124, 123, 123, 31294, 1161, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1323, 1110, 8921, 19727, 1985, 6580, 2071, 6973, 14654, 1208, 7632, 2021, 6760, 14726, 119, 8346, 1707, 14727, 1108, 488, 124, 132, 129, 130, 121, 106, 4602, 19638, 8471, 185, 17936, 1518, 1558, 1518, 239, 14472, 1659, 24917, 178, 1475, 9368, 182, 1659, 1222, 31459, 1233, 257, 1824, 16313, 12674, 1753, 10713, 6759, 133, 5182, 1306, 10637, 31294, 1161, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 4414, 1254, 5108, 133, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 134, 1266, 162, 6867, 1107, 14726, 119, 8346, 1707, 14727, 1108, 488, 125, 123, 124, 124, 121, 106, 2439, 191, 2831, 21586, 1108, 133, 1350, 5005, 1124, 1518, 10702, 12505, 1323, 1110, 1135, 2078, 11941, 2910, 4786, 1171, 6184, 8389, 4189, 2266, 121, 1204, 1783, 6760, 14726, 119, 17597, 488, 125, 123, 123, 124, 119, 29311, 143, 1181, 11323, 1355, 1252, 160, 17597, 116, 106, 2700, 11552, 1121, 1985, 8119, 1226, 1135, 12306, 1161, 1135, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1254, 3312, 488, 124, 132, 128, 125, 121, 1222, 11772, 2765, 8346, 1707, 14727, 1108, 488, 124, 132, 128, 125, 121, 106, 161, 1172, 10056, 2133, 12654, 4234, 12709, 1171, 2133, 2461, 186, 10837, 1140, 12505, 133, 8346, 1707, 14727, 1108, 1323, 1189, 2580, 1226, 1135, 1135, 1128, 1657, 1410, 2674, 21711, 1161, 1135, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 488, 124, 132, 132, 130, 120, 125, 123, 123, 123, 121, 1753, 239, 175, 2011, 1512, 2855, 2506, 1243, 262, 1784, 190, 3967, 15972, 31606, 8346, 1707, 14727, 2765, 1325, 24399, 1210, 2564, 1634, 1263, 14726, 1266, 23671, 8346, 1707, 14727, 1108, 488, 125, 123, 123, 123, 121, 106, 106, 1891, 9520, 1171, 14520, 106, 7089, 11076, 4877, 1161, 1135, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 3615, 18688, 1641, 1226, 1135, 5517, 1161, 1135, 1753, 1217, 1824, 1122, 2078, 6653, 4547, 116, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 4810, 2178, 7638, 1862, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1125, 7258, 2528, 1109, 1434, 14563, 106, 158, 2427, 2942, 1171, 11941, 7623, 7264, 1972, 1161, 1135, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1449, 16839, 21073, 6410, 1287, 1977, 1175, 15779, 4111, 1161, 1135, 11679, 1161, 30554, 1355, 1135, 6253, 1926, 4017, 1161, 17597, 116, 488, 106, 106, 1598, 2078, 1147, 18948, 106, 8029, 172, 5360, 1147, 18948, 106, 146, 5597, 1135, 2078, 106, 141, 1112, 1707, 14727, 1108, 106, 17452, 1149, 25162, 1147, 488, 124, 132, 124, 124, 32001, 488, 106, 32000, 20036, 106, 2606, 1753, 1217, 1824, 1122, 2078, 24179, 244, 7268, 17023, 1125, 8346, 1707, 14727, 1108, 116, 1299, 1189, 12103, 8446, 1188, 8346, 1707, 14727, 1108, 6574, 1265, 1125, 3261, 1860, 1496, 1186, 17490, 121, 106, 106, 30609, 106, 145, 1414, 244, 1186, 488, 124, 131, 129, 130, 119, 1170, 12103, 12425, 3203, 27754, 1257, 1282, 18099, 1167, 2905, 6406, 1125, 12103, 10709, 119, 1207, 6406, 10110, 1473, 1167, 1158, 10570, 14340, 1548, 7361, 2121, 13826, 1300, 1170, 1865, 18183, 1186, 488, 124, 132, 124, 124, 119, 1299, 1186, 3828, 3247, 30633, 3672, 1158, 22925, 12507, 10999, 2040, 1170, 3631, 12103, 119, 13826, 1186, 488, 124, 132, 128, 125, 119, 9223, 187, 1345, 1158, 19596, 1321, 1839, 3024, 1401, 19878, 12372, 1548, 4170, 1233, 10713, 2104, 16965, 1548, 29891, 1357, 1746, 1370, 1125, 3601, 1125, 18048, 2567, 1158, 26735, 119, 1299, 11041, 5162, 1856, 3601, 1256, 1207, 6406, 1125, 7957, 121, 106, 106, 151, 2570, 6727, 106, 145, 1687, 197, 8471, 185, 1243, 1257, 18367, 1222, 1141, 8346, 1707, 14727, 1944, 1703, 16409, 3032, 1123, 3074, 18895, 1281, 4975, 1293, 30850, 1507, 1148, 9905, 5452, 1645, 177, 239, 4317, 1108, 10652, 2207, 1136, 1325, 2295, 1107, 1107, 1766, 1337, 3513, 1139, 1519, 4472, 488, 125, 121, 1325, 6932, 182, 2348, 3296, 1753, 1217, 191, 2528, 1289, 8346, 1707, 14727, 4414, 1222, 11772, 2765, 8346, 1707, 14727, 1108, 488, 124, 132, 131, 124, 106, 147, 1220, 7480, 121, 1306, 20877, 1257, 1293, 1104, 1130, 25558, 5452, 1252, 14111, 1144, 1187, 9233, 1333, 1224, 1108, 16180, 1410, 2078, 1703, 2207, 1136, 1266, 1519, 182, 2348, 16678, 3967, 1210, 1507, 1148, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 8346, 1707, 14727, 1108, 488, 124, 132, 127, 128, 120, 124, 132, 131, 131, 121, 6973, 14654, 1208, 7632, 2021, 6760, 14726, 119, 8346, 1707, 14727, 1108, 488, 124, 132, 132, 126, 119, 1939, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1257, 488, 124, 123, 123, 28366, 1112, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1703, 1254, 1314, 1252, 7832, 1210, 20149, 121, 8346, 1707, 14727, 1108, 488, 124, 132, 129, 130, 121, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1257, 488, 124, 123, 123, 28366, 1112, 10161, 1675, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1703, 18395, 1222, 1387, 2070, 2392, 8346, 1707, 14727, 1108, 488, 124, 132, 130, 125, 121, 106, 149, 10713, 8408, 6660, 3030, 1325, 12169, 1140, 1507, 1257, 488, 124, 123, 123, 28366, 1112, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1703, 18395, 1252, 7832, 1210, 20149, 119, 6973, 14654, 1208, 7632, 2021, 6760, 14726, 119, 8346, 1707, 14727, 1108, 488, 124, 132, 129, 130, 121, 106, 4602, 19638, 8471, 185, 17936, 1518, 1558, 1518, 239, 14472, 1659, 24917, 178, 1475, 9368, 182, 1659, 1222, 31459, 1233, 257, 1824, 16313, 12674, 1753, 10713, 6759, 1257, 1306, 2506, 1494, 28366, 1112, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 4414, 1253, 5108, 1257, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 2040, 1266, 162, 6867, 1107, 14726, 119, 8346, 1707, 14727, 1108, 488, 125, 123, 124, 124, 119, 106, 2439, 191, 2831, 21586, 1108, 1257, 1350, 5005, 1124, 1518, 10702, 12505, 1703, 16409, 1410, 2078, 2528, 1286, 17049, 2207, 194, 28466, 3859, 1974, 3167, 5769, 5020, 121, 4189, 2266, 121, 1204, 1783, 6760, 14726, 119, 17597, 488, 125, 123, 123, 124, 119, 6047, 1470, 1494, 1162, 1188, 1158, 1252, 160, 17597, 116, 106, 145, 7832, 1210, 20149, 2207, 1136, 8471, 257, 1319, 185, 3513, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 8346, 1707, 14727, 1108, 15783, 1847, 488, 124, 132, 128, 125, 121, 1222, 11772, 2765, 8346, 1707, 14727, 1108, 488, 124, 132, 128, 125, 121, 106, 161, 1172, 10056, 2133, 12654, 4234, 12709, 1167, 2133, 2461, 186, 10837, 1140, 12505, 1257, 8346, 1707, 14727, 1108, 1703, 16409, 1205, 16376, 190, 1410, 1128, 1657, 11374, 6284, 1374, 3513, 1197, 1753, 1217, 2653, 1128, 1201, 8346, 1707, 14727, 1108, 488, 124, 132, 132, 130, 120, 125, 123, 123, 123, 121, 1753, 239, 175, 2011, 1512, 2855, 2506, 1243, 262, 1784, 190, 3967, 15972, 31606, 8346, 1707, 14727, 2765, 1325, 24399, 1210, 2564, 1634, 1263, 14726, 1266, 23671, 8346, 1707, 14727, 1108, 488, 125, 123, 123, 123, 119, 1939, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 7089, 1493, 180, 1378, 7929, 10045, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 8346, 1707, 14727, 1108, 4250, 1249, 4127, 17940, 1488, 2207, 1136, 1293, 30850, 1507, 1148, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 6653, 4547, 116, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 4810, 2178, 7638, 1862, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1125, 7258, 2528, 1109, 1434, 14563, 106, 158, 182, 1493, 7641, 3167, 1233, 1334, 2174, 1507, 185, 23021, 2207, 1255, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1125, 16839, 21073, 6410, 1287, 1977, 1175, 15779, 4111, 1227, 14331, 1304, 17792, 1125, 21455, 4403, 1125, 17597, 116, 106, 106, 106, 158, 5738, 1125, 12103, 1186, 17490, 106, 158, 5738, 1304, 18099, 1186, 17490, 106, 2103, 244, 7268, 10816, 106, 141, 1112, 1707, 14727, 1108, 106, 224, 175, 28567, 13826, 1186, 488, 124, 132, 124, 124, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 1753, 1217, 1824, 1122, 2078, 24179, 244, 7268, 17023, 1125, 8346, 1707, 14727, 1108, 116, 1299, 1189, 12103, 8446, 1188, 8346, 1707, 14727, 1108, 6574, 1265, 1125, 3261, 1860, 1496, 1186, 17490, 121, 106, 106, 30609, 106, 145, 1414, 244, 1186, 488, 124, 131, 129, 130, 119, 1170, 12103, 12425, 3203, 27754, 1257, 1282, 18099, 1167, 2905, 6406, 1125, 12103, 10709, 119, 1207, 6406, 10110, 1473, 1167, 1158, 10570, 14340, 1548, 7361, 2121, 13826, 1300, 1170, 1865, 18183, 1186, 488, 124, 132, 124, 124, 119, 1299, 1186, 3828, 3247, 30633, 3672, 1158, 22925, 12507, 10999, 2040, 1170, 3631, 12103, 119, 13826, 1186, 488, 124, 132, 128, 125, 119, 9223, 187, 1345, 1158, 19596, 1321, 1839, 3024, 1401, 19878, 12372, 1548, 4170, 1233, 10713, 2104, 16965, 1548, 29891, 1357, 1746, 1370, 1125, 3601, 1125, 18048, 2567, 1158, 26735, 119, 1299, 11041, 5162, 1856, 3601, 1256, 1207, 6406, 1125, 7957, 121, 106, 106, 151, 2570, 6727, 106, 145, 1687, 197, 8471, 185, 1243, 1257, 18367, 1222, 1141, 8346, 1707, 14727, 1944, 1703, 16409, 3032, 1123, 3074, 18895, 1281, 4975, 1293, 30850, 1507, 1148, 9905, 5452, 1645, 177, 239, 4317, 1108, 10652, 2207, 1136, 1325, 2295, 1107, 1107, 1766, 1337, 3513, 1139, 1519, 4472, 488, 125, 121, 1325, 6932, 182, 2348, 3296, 1753, 1217, 191, 2528, 1289, 8346, 1707, 14727, 4414, 1222, 11772, 2765, 8346, 1707, 14727, 1108, 488, 124, 132, 131, 124, 106, 147, 1220, 7480, 121, 1306, 20877, 1257, 1293, 1104, 1130, 25558, 5452, 1252, 14111, 1144, 1187, 9233, 1333, 1224, 1108, 16180, 1410, 2078, 1703, 2207, 1136, 1266, 1519, 182, 2348, 16678, 3967, 1210, 1507, 1148, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 8346, 1707, 14727, 1108, 488, 124, 132, 127, 128, 120, 124, 132, 131, 131, 121, 6973, 14654, 1208, 7632, 2021, 6760, 14726, 119, 8346, 1707, 14727, 1108, 488, 124, 132, 132, 126, 119, 1939, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1257, 488, 124, 123, 123, 28366, 1112, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1703, 1254, 1314, 1252, 7832, 1210, 20149, 121, 8346, 1707, 14727, 1108, 488, 124, 132, 129, 130, 121, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1257, 488, 124, 123, 123, 28366, 1112, 10161, 1675, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1703, 18395, 1222, 1387, 2070, 2392, 8346, 1707, 14727, 1108, 488, 124, 132, 130, 125, 121, 106, 149, 10713, 8408, 6660, 3030, 1325, 12169, 1140, 1507, 1257, 488, 124, 123, 123, 28366, 1112, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1703, 18395, 1252, 7832, 1210, 20149, 119, 6973, 14654, 1208, 7632, 2021, 6760, 14726, 119, 8346, 1707, 14727, 1108, 488, 124, 132, 129, 130, 121, 106, 4602, 19638, 8471, 185, 17936, 1518, 1558, 1518, 239, 14472, 1659, 24917, 178, 1475, 9368, 182, 1659, 1222, 31459, 1233, 257, 1824, 16313, 12674, 1753, 10713, 6759, 1257, 1306, 2506, 1494, 28366, 1112, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 4414, 1253, 5108, 1257, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 2040, 1266, 162, 6867, 1107, 14726, 119, 8346, 1707, 14727, 1108, 488, 125, 123, 124, 124, 119, 106, 2439, 191, 2831, 21586, 1108, 1257, 1350, 5005, 1124, 1518, 10702, 12505, 1703, 16409, 1410, 2078, 2528, 1286, 17049, 2207, 194, 28466, 3859, 1974, 3167, 5769, 5020, 121, 4189, 2266, 121, 1204, 1783, 6760, 14726, 119, 17597, 488, 125, 123, 123, 124, 119, 6047, 1470, 1494, 1162, 1188, 1158, 1252, 160, 17597, 116, 106, 145, 7832, 1210, 20149, 2207, 1136, 8471, 257, 1319, 185, 3513, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 8346, 1707, 14727, 1108, 15783, 1847, 488, 124, 132, 128, 125, 121, 1222, 11772, 2765, 8346, 1707, 14727, 1108, 488, 124, 132, 128, 125, 121, 106, 161, 1172, 10056, 2133, 12654, 4234, 12709, 1167, 2133, 2461, 186, 10837, 1140, 12505, 1257, 8346, 1707, 14727, 1108, 1703, 16409, 1205, 16376, 190, 1410, 1128, 1657, 11374, 6284, 1374, 3513, 1197, 1753, 1217, 2653, 1128, 1201, 8346, 1707, 14727, 1108, 488, 124, 132, 132, 130, 120, 125, 123, 123, 123, 121, 1753, 239, 175, 2011, 1512, 2855, 2506, 1243, 262, 1784, 190, 3967, 15972, 31606, 8346, 1707, 14727, 2765, 1325, 24399, 1210, 2564, 1634, 1263, 14726, 1266, 23671, 8346, 1707, 14727, 1108, 488, 125, 123, 123, 123, 119, 1939, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 7089, 1493, 180, 1378, 7929, 10045, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 8346, 1707, 14727, 1108, 4250, 1249, 4127, 17940, 1488, 2207, 1136, 1293, 30850, 1507, 1148, 1197, 1753, 1217, 1824, 1122, 1128, 1201, 6653, 4547, 116, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 4810, 2178, 7638, 1862, 106, 2003, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1125, 7258, 2528, 1109, 1434, 14563, 106, 158, 182, 1493, 7641, 3167, 1233, 1334, 2174, 1507, 185, 23021, 2207, 1255, 1753, 1217, 1824, 1122, 2078, 8346, 1707, 14727, 1108, 1125, 16839, 21073, 6410, 1287, 1977, 1175, 15779, 4111, 1227, 14331, 1304, 17792, 1125, 21455, 4403, 1125, 17597, 116, 106, 106, 106, 158, 5738, 1125, 12103, 1186, 17490, 106, 158, 5738, 1304, 18099, 1186, 17490, 106, 2103, 244, 7268, 10816, 106, 141, 1112, 1707, 14727, 1108, 106, 224, 175, 28567, 13826, 1186, 488, 124, 132, 124, 124, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 157, 172, 260, 183, 29743, 5523, 2068, 8486, 248, 5022, 1200, 7304, 185, 24051, 1170, 488, 129, 2822, 488, 124, 132, 128, 126, 1188, 1173, 2694, 9143, 1496, 1299, 1189, 18123, 5427, 4059, 6152, 1189, 19383, 1167, 1189, 5598, 3657, 1270, 1142, 26352, 1768, 1299, 16487, 1125, 1173, 2694, 9143, 1125, 488, 125, 123, 123, 127, 1188, 488, 125, 123, 123, 131, 121, 106, 106, 141, 11741, 106, 106, 5522, 9861, 1167, 3968, 488, 106, 153, 244, 1188, 1173, 2694, 9143, 1227, 1539, 1142, 2433, 1527, 1299, 1170, 8658, 1125, 1282, 20726, 5427, 16959, 260, 183, 2068, 8486, 248, 5022, 9412, 193, 1810, 7271, 16487, 1125, 6284, 29083, 22800, 1167, 1125, 1266, 1214, 1923, 1200, 7304, 185, 1165, 2677, 4910, 2086, 25605, 1227, 30771, 1653, 3415, 1200, 7304, 185, 1165, 2677, 4910, 2181, 1768, 22589, 1214, 1188, 19543, 20020, 1125, 1173, 2694, 9143, 22571, 488, 124, 132, 129, 131, 119, 3817, 1527, 16773, 12547, 10070, 3202, 1366, 1922, 1407, 186, 2769, 3683, 2585, 1527, 4933, 3672, 2069, 2165, 7328, 1282, 29163, 1125, 1594, 19860, 1256, 18069, 1188, 12547, 10070, 1304, 20726, 27779, 1125, 15714, 1227, 1539, 1142, 2433, 2487, 1527, 5016, 7628, 255, 7749, 1186, 488, 124, 132, 130, 132, 121, 488, 106, 152, 1662, 244, 1186, 21545, 20561, 1104, 1186, 488, 125, 123, 123, 132, 1469, 1158, 19383, 27761, 1108, 4861, 24468, 1200, 254, 1326, 5520, 1527, 1110, 4795, 3203, 13257, 1257, 9428, 1403, 11769, 1810, 1266, 1214, 1923, 1167, 3985, 24326, 2068, 8486, 248, 5022, 1165, 14210, 2181, 106, 106, 20616, 4096, 6049, 488, 488, 106, 5164, 1110, 13551, 1561, 9245, 1317, 5545, 1125, 1158, 3385, 1125, 4971, 3079, 2177, 15853, 172, 1469, 17571, 26298, 488, 217, 183, 2842, 186, 1252, 23627, 1657, 26560, 1125, 2658, 19539, 8566, 1527, 14802, 3079, 2177, 1251, 1165, 248, 1810, 1318, 5625, 19174, 1313, 1158, 4351, 1197, 14140, 8608, 4542, 1186, 2076, 2658, 6157, 1281, 9331, 1112, 1317, 6485, 7152, 12161, 4511, 1816, 3391, 19108, 1527, 2368, 1322, 21921, 2445, 1188, 1189, 3274, 1125, 19226, 1256, 18504, 4411, 1158, 26102, 16181, 1266, 25875, 1346, 2487, 1527, 1299, 9503, 3672, 2069, 8793, 1768, 1299, 2445, 8328, 1125, 26341, 1197, 18123, 2892, 1227, 1539, 1142, 2433, 11538, 1227, 31985, 1197, 18123, 2892, 1227, 1539, 1142, 2433, 4637, 1125, 1158, 4309, 1348, 21845, 1227, 31985, 1197, 18123, 2892, 1227, 1539, 1142, 2433, 8328, 1227, 1539, 2993, 5693, 1125, 14141, 3494, 27610, 2100, 1197, 18123, 2892, 1175, 6073, 3269, 148, 1496, 4637, 1227, 5878, 1125, 19023, 3728, 1126, 22611, 1414, 15459, 1167, 8328, 1125, 1200, 1901, 1539, 1399, 1939, 488, 106, 106, 1686, 4083, 1980, 31913, 119, 1527, 13300, 1186, 4083, 1309, 11553, 1125, 6040, 28396, 3392, 8303, 1309, 1248, 3048, 19730, 3382, 1173, 5128, 3079, 1109, 1141, 1251, 6522, 187, 1108, 1180, 1248, 3048, 1173, 5128, 17397, 1203, 3187, 1104, 1121, 16330, 15853, 2036, 119, 1459, 2094, 4731, 1352, 1868, 3926, 154, 15853, 2036, 3164, 1459, 3648, 1104, 8200, 2615, 1452, 2036, 1768, 1299, 2445, 8328, 1125, 1158, 7676, 1197, 15304, 1227, 14318, 15853, 2036, 119, 7990, 8154, 1272, 28136, 1167, 1227, 6508, 16191, 8411, 24146, 25639, 1167, 4637, 1125, 10837, 1766, 186, 8660, 1167, 1548, 5623, 11173, 15853, 2036, 488, 106, 106, 3681, 8486, 248, 5022, 1110, 8217, 1170, 3248, 1227, 6005, 18123, 5427, 6076, 3561, 1805, 1608, 244, 1215, 1170, 31985, 1197, 18123, 2892, 1227, 1539, 1142, 2433, 1167, 1170, 3248, 1227, 2180, 1793, 13432, 10697, 1125, 16541, 2806, 1805, 1608, 244, 1215, 1158, 20201, 1227, 1539, 2993, 121, 106, 106, 159, 1819, 28084, 488, 488, 106, 1686, 488, 124, 132, 132, 124, 119, 1527, 3958, 1274, 1318, 9186, 9245, 1188, 1158, 14022, 119, 14867, 1300, 1643, 1248, 2754, 2648, 1300, 23275, 488, 124, 126, 119, 2585, 1527, 5004, 3171, 21638, 1285, 2487, 3747, 1266, 6154, 1125, 20593, 172, 1871, 1115, 4519, 9419, 1131, 8272, 1810, 1167, 1300, 1539, 1399, 2964, 24323, 2585, 1527, 27639, 4148, 1205, 1141, 1251, 4148, 1205, 8318, 106, 106, 20616, 4096, 3657, 488, 488, 106, 1686, 488, 125, 123, 123, 127, 119, 1527, 1299, 12688, 15599, 16421, 1317, 8536, 1125, 16487, 1125, 1158, 4813, 1125, 1173, 2694, 29854, 1317, 5545, 1125, 1158, 27646, 26621, 1256, 1170, 1539, 1142, 2433, 1167, 27314, 1215, 1170, 16487, 5016, 2851, 10170, 8297, 27060, 19231, 248, 9373, 1643, 10251, 20237, 1366, 1299, 1805, 2845, 1215, 1440, 4755, 1856, 488, 1186, 5169, 1227, 1844, 1309, 1158, 4813, 1125, 1173, 2694, 9143, 1299, 1318, 9287, 20237, 1366, 29290, 9455, 121, 1548, 488, 126, 124, 2822, 488, 125, 123, 123, 127, 119, 1527, 26234, 1148, 1170, 15599, 1125, 1158, 7100, 1494, 1162, 1321, 6399, 4847, 3724, 1756, 179, 6037, 6711, 1227, 15211, 1256, 1158, 21340, 4497, 29422, 1576, 6982, 1318, 10251, 4723, 2162, 1303, 1313, 1207, 5373, 4277, 16959, 260, 183, 2068, 8486, 248, 5022, 22058, 2284, 7017, 25083, 2552, 2068, 1224, 1265, 1164, 1299, 3042, 6113, 1125, 1909, 1408, 15913, 7645, 1793, 1297, 106, 106, 1686, 488, 125, 123, 123, 131, 119, 1527, 12459, 1125, 1288, 1382, 1281, 4018, 1657, 106, 106, 20634, 1167, 5474, 488, 106, 106, 153, 3400, 1186, 2822, 488, 124, 132, 128, 126, 106, 153, 3400, 1188, 1173, 2694, 9143, 106, 155, 7849, 1902, 3657, 1270, 1142, 3556, 106, 1428, 20073, 5427, 1270, 1142, 1354, 1227, 23841, 6298, 106, 1428, 20073, 5427, 1270, 1142, 1354, 1227, 12136, 25525, 6298, 32001, 488, 106, 32000, 20036, 106, 157, 172, 260, 183, 29743, 5523, 2068, 8486, 248, 5022, 1200, 7304, 185, 6256, 2589, 1238, 7357, 488, 129, 119, 488, 124, 132, 128, 126, 1147, 1173, 2694, 9143, 116, 1239, 1110, 1539, 1399, 1119, 6805, 7610, 1659, 6601, 13808, 1171, 12809, 2323, 121, 2133, 11462, 1296, 2277, 1121, 1161, 1173, 2694, 9143, 1446, 488, 125, 123, 123, 127, 1163, 488, 125, 123, 123, 131, 121, 106, 106, 141, 180, 11114, 106, 106, 144, 3560, 3901, 1171, 9247, 106, 141, 2589, 1147, 1173, 2694, 29854, 1539, 7056, 1386, 1239, 1135, 1594, 1161, 28488, 16959, 260, 183, 2068, 8486, 248, 5022, 9412, 193, 1810, 6459, 2277, 1121, 1161, 6284, 29083, 22800, 1171, 1266, 1214, 1923, 1200, 7304, 185, 1165, 2677, 4910, 2086, 17969, 1161, 21975, 1653, 3415, 1200, 7304, 185, 1165, 2677, 4910, 2181, 2133, 21605, 1355, 1135, 7927, 3875, 1147, 1173, 2694, 9143, 4945, 488, 124, 132, 129, 131, 119, 2043, 1386, 14010, 1135, 1922, 1407, 186, 2769, 1128, 1266, 10646, 5761, 119, 2468, 1386, 30235, 1226, 2197, 3162, 2979, 1184, 6368, 1765, 7628, 10778, 1163, 6575, 1135, 5761, 1161, 21273, 1355, 1135, 4017, 1161, 1539, 7056, 1446, 1758, 1386, 9713, 1589, 1147, 488, 124, 132, 130, 132, 121, 106, 24338, 6299, 1226, 1135, 2423, 1907, 1147, 488, 125, 123, 123, 132, 1163, 6601, 1267, 27761, 1108, 4861, 24468, 1200, 254, 1326, 5520, 1386, 1602, 3337, 1106, 8892, 19423, 9428, 1403, 11769, 1810, 1266, 25875, 1346, 1171, 3985, 24326, 2068, 8486, 248, 5022, 1165, 14210, 2181, 106, 106, 2101, 16366, 1132, 9932, 106, 3780, 8492, 1765, 9932, 1324, 4971, 4571, 3079, 2177, 15853, 172, 1324, 3434, 1712, 488, 217, 183, 2842, 186, 1252, 23627, 1657, 20453, 1269, 2470, 119, 1386, 20883, 3079, 2177, 1251, 1165, 248, 1810, 1110, 4571, 4669, 8271, 1147, 14004, 16882, 28902, 2884, 1959, 27824, 1238, 3887, 1299, 8820, 14113, 1413, 6605, 1386, 1959, 13175, 1156, 1324, 1110, 2957, 1161, 28357, 1163, 3275, 1135, 16181, 1266, 1214, 1923, 7733, 8616, 2468, 1386, 11462, 1296, 9544, 2111, 1226, 2197, 10805, 2133, 1463, 1959, 11299, 1161, 1135, 10840, 1161, 12005, 1201, 1161, 1539, 7056, 13614, 1121, 1163, 1135, 9168, 1161, 12005, 1201, 1161, 1539, 7056, 10283, 1161, 1135, 17497, 4669, 1433, 1161, 1135, 9168, 1161, 12005, 1201, 1161, 1539, 7056, 11299, 1161, 1539, 1399, 1226, 1135, 11435, 4379, 16609, 12005, 1201, 8006, 1175, 6073, 3269, 148, 1496, 10283, 1161, 3728, 1126, 22611, 1414, 15459, 24756, 7879, 119, 1171, 11299, 1161, 1200, 1901, 1539, 1399, 121, 106, 4282, 1151, 19442, 119, 1386, 3512, 1589, 1296, 1110, 13175, 1147, 6750, 5306, 3939, 2536, 1296, 1248, 3048, 19730, 3382, 1173, 5128, 3079, 1109, 1141, 1251, 6522, 187, 1108, 1180, 1248, 3048, 1173, 5128, 17397, 1203, 3187, 1104, 1121, 16330, 15853, 2036, 119, 1459, 2094, 4731, 1352, 1868, 3926, 154, 15853, 2036, 119, 1171, 1459, 3648, 1104, 8200, 2615, 1452, 2036, 2133, 1959, 11462, 1296, 11299, 1161, 28062, 16768, 15853, 2036, 119, 1173, 4544, 1252, 10897, 2064, 8411, 24146, 25639, 1165, 14803, 27909, 1171, 10283, 1161, 10837, 1766, 186, 8660, 1171, 1548, 5623, 11173, 15853, 2036, 106, 3681, 8486, 248, 5022, 6971, 1135, 9541, 1226, 3284, 17497, 28488, 1446, 1135, 9168, 1161, 12005, 1201, 1161, 1539, 7056, 1171, 1135, 19442, 1161, 1135, 1976, 9541, 1446, 1135, 12455, 1161, 1539, 1399, 121, 106, 106, 14712, 12902, 106, 1428, 488, 124, 132, 132, 124, 119, 1386, 8492, 1110, 2102, 9932, 1147, 16140, 119, 1940, 1238, 1643, 1248, 2754, 2491, 23275, 488, 124, 126, 119, 2468, 1386, 24544, 5057, 11238, 3813, 1266, 6154, 1125, 20593, 172, 1871, 1115, 4519, 9419, 1131, 8272, 1810, 1171, 1238, 1539, 1399, 2964, 24323, 2468, 1386, 24544, 4148, 1205, 1141, 1251, 4148, 1205, 8318, 106, 106, 155, 7847, 3043, 9932, 106, 1428, 488, 125, 123, 123, 127, 119, 1386, 1463, 22951, 1296, 1151, 10559, 15379, 1226, 2277, 1121, 1161, 1173, 2694, 29854, 4230, 1135, 26621, 1226, 1539, 1399, 27646, 1171, 10242, 1449, 1656, 13145, 2277, 1121, 10170, 8297, 27060, 19231, 248, 9373, 1410, 14202, 11185, 16272, 1463, 9517, 1449, 19231, 27060, 1296, 17275, 5404, 1163, 1135, 8113, 1146, 11677, 1161, 1135, 1173, 2694, 9143, 4813, 121, 2502, 7357, 488, 126, 124, 119, 488, 125, 123, 123, 127, 119, 1386, 23359, 1684, 4064, 7100, 1494, 1162, 15379, 1321, 6399, 4847, 3724, 1756, 179, 6037, 1110, 6644, 1161, 1135, 12205, 1226, 6411, 22243, 4497, 29422, 1576, 6226, 1110, 20121, 1159, 16272, 1147, 1135, 3083, 4741, 16959, 260, 183, 2068, 8486, 248, 5022, 14380, 5569, 1152, 8584, 2662, 121, 25083, 2552, 2068, 1224, 1265, 1164, 1463, 1704, 1161, 1765, 31670, 7645, 2111, 1297, 106, 1428, 488, 125, 123, 123, 131, 119, 1386, 8071, 1375, 1163, 2807, 1226, 1169, 9718, 2001, 121, 106, 106, 1891, 9520, 106, 106, 141, 2589, 1147, 7357, 488, 124, 132, 128, 126, 106, 141, 2589, 1147, 1173, 2694, 9143, 106, 2330, 1399, 1119, 12809, 11502, 106, 2330, 1399, 1119, 7610, 1201, 1161, 1135, 488, 125, 123, 1276, 14851, 106, 2330, 1399, 1119, 7610, 1201, 1161, 1135, 488, 125, 124, 1243, 14917, 2305, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 157, 172, 260, 183, 29743, 5523, 2068, 8486, 248, 5022, 1200, 7304, 185, 6256, 2589, 1238, 7357, 488, 129, 119, 488, 124, 132, 128, 126, 1147, 1173, 2694, 9143, 116, 1239, 1110, 1539, 1399, 1119, 6805, 7610, 1659, 6601, 13808, 1171, 12809, 2323, 121, 2133, 11462, 1296, 2277, 1121, 1161, 1173, 2694, 9143, 1446, 488, 125, 123, 123, 127, 1163, 488, 125, 123, 123, 131, 121, 106, 106, 141, 180, 11114, 106, 106, 144, 3560, 3901, 1171, 9247, 106, 141, 2589, 1147, 1173, 2694, 29854, 1539, 7056, 1386, 1239, 1135, 1594, 1161, 28488, 16959, 260, 183, 2068, 8486, 248, 5022, 9412, 193, 1810, 6459, 2277, 1121, 1161, 6284, 29083, 22800, 1171, 1266, 1214, 1923, 1200, 7304, 185, 1165, 2677, 4910, 2086, 17969, 1161, 21975, 1653, 3415, 1200, 7304, 185, 1165, 2677, 4910, 2181, 2133, 21605, 1355, 1135, 7927, 3875, 1147, 1173, 2694, 9143, 4945, 488, 124, 132, 129, 131, 119, 2043, 1386, 14010, 1135, 1922, 1407, 186, 2769, 1128, 1266, 10646, 5761, 119, 2468, 1386, 30235, 1226, 2197, 3162, 2979, 1184, 6368, 1765, 7628, 10778, 1163, 6575, 1135, 5761, 1161, 21273, 1355, 1135, 4017, 1161, 1539, 7056, 1446, 1758, 1386, 9713, 1589, 1147, 488, 124, 132, 130, 132, 121, 106, 24338, 6299, 1226, 1135, 2423, 1907, 1147, 488, 125, 123, 123, 132, 1163, 6601, 1267, 27761, 1108, 4861, 24468, 1200, 254, 1326, 5520, 1386, 1602, 3337, 1106, 8892, 19423, 9428, 1403, 11769, 1810, 1266, 25875, 1346, 1171, 3985, 24326, 2068, 8486, 248, 5022, 1165, 14210, 2181, 106, 106, 2101, 16366, 1132, 9932, 106, 3780, 8492, 1765, 9932, 1324, 4971, 4571, 3079, 2177, 15853, 172, 1324, 3434, 1712, 488, 217, 183, 2842, 186, 1252, 23627, 1657, 20453, 1269, 2470, 119, 1386, 20883, 3079, 2177, 1251, 1165, 248, 1810, 1110, 4571, 4669, 8271, 1147, 14004, 16882, 28902, 2884, 1959, 27824, 1238, 3887, 1299, 8820, 14113, 1413, 6605, 1386, 1959, 13175, 1156, 1324, 1110, 2957, 1161, 28357, 1163, 3275, 1135, 16181, 1266, 1214, 1923, 7733, 8616, 2468, 1386, 11462, 1296, 9544, 2111, 1226, 2197, 10805, 2133, 1463, 1959, 11299, 1161, 1135, 10840, 1161, 12005, 1201, 1161, 1539, 7056, 13614, 1121, 1163, 1135, 9168, 1161, 12005, 1201, 1161, 1539, 7056, 10283, 1161, 1135, 17497, 4669, 1433, 1161, 1135, 9168, 1161, 12005, 1201, 1161, 1539, 7056, 11299, 1161, 1539, 1399, 1226, 1135, 11435, 4379, 16609, 12005, 1201, 8006, 1175, 6073, 3269, 148, 1496, 10283, 1161, 3728, 1126, 22611, 1414, 15459, 24756, 7879, 119, 1171, 11299, 1161, 1200, 1901, 1539, 1399, 121, 106, 4282, 1151, 19442, 119, 1386, 3512, 1589, 1296, 1110, 13175, 1147, 6750, 5306, 3939, 2536, 1296, 1248, 3048, 19730, 3382, 1173, 5128, 3079, 1109, 1141, 1251, 6522, 187, 1108, 1180, 1248, 3048, 1173, 5128, 17397, 1203, 3187, 1104, 1121, 16330, 15853, 2036, 119, 1459, 2094, 4731, 1352, 1868, 3926, 154, 15853, 2036, 119, 1171, 1459, 3648, 1104, 8200, 2615, 1452, 2036, 2133, 1959, 11462, 1296, 11299, 1161, 28062, 16768, 15853, 2036, 119, 1173, 4544, 1252, 10897, 2064, 8411, 24146, 25639, 1165, 14803, 27909, 1171, 10283, 1161, 10837, 1766, 186, 8660, 1171, 1548, 5623, 11173, 15853, 2036, 106, 3681, 8486, 248, 5022, 6971, 1135, 9541, 1226, 3284, 17497, 28488, 1446, 1135, 9168, 1161, 12005, 1201, 1161, 1539, 7056, 1171, 1135, 19442, 1161, 1135, 1976, 9541, 1446, 1135, 12455, 1161, 1539, 1399, 121, 106, 106, 14712, 12902, 106, 1428, 488, 124, 132, 132, 124, 119, 1386, 8492, 1110, 2102, 9932, 1147, 16140, 119, 1940, 1238, 1643, 1248, 2754, 2491, 23275, 488, 124, 126, 119, 2468, 1386, 24544, 5057, 11238, 3813, 1266, 6154, 1125, 20593, 172, 1871, 1115, 4519, 9419, 1131, 8272, 1810, 1171, 1238, 1539, 1399, 2964, 24323, 2468, 1386, 24544, 4148, 1205, 1141, 1251, 4148, 1205, 8318, 106, 106, 155, 7847, 3043, 9932, 106, 1428, 488, 125, 123, 123, 127, 119, 1386, 1463, 22951, 1296, 1151, 10559, 15379, 1226, 2277, 1121, 1161, 1173, 2694, 29854, 4230, 1135, 26621, 1226, 1539, 1399, 27646, 1171, 10242, 1449, 1656, 13145, 2277, 1121, 10170, 8297, 27060, 19231, 248, 9373, 1410, 14202, 11185, 16272, 1463, 9517, 1449, 19231, 27060, 1296, 17275, 5404, 1163, 1135, 8113, 1146, 11677, 1161, 1135, 1173, 2694, 9143, 4813, 121, 2502, 7357, 488, 126, 124, 119, 488, 125, 123, 123, 127, 119, 1386, 23359, 1684, 4064, 7100, 1494, 1162, 15379, 1321, 6399, 4847, 3724, 1756, 179, 6037, 1110, 6644, 1161, 1135, 12205, 1226, 6411, 22243, 4497, 29422, 1576, 6226, 1110, 20121, 1159, 16272, 1147, 1135, 3083, 4741, 16959, 260, 183, 2068, 8486, 248, 5022, 14380, 5569, 1152, 8584, 2662, 121, 25083, 2552, 2068, 1224, 1265, 1164, 1463, 1704, 1161, 1765, 31670, 7645, 2111, 1297, 106, 1428, 488, 125, 123, 123, 131, 119, 1386, 8071, 1375, 1163, 2807, 1226, 1169, 9718, 2001, 121, 106, 106, 1891, 9520, 106, 106, 141, 2589, 1147, 7357, 488, 124, 132, 128, 126, 106, 141, 2589, 1147, 1173, 2694, 9143, 106, 2330, 1399, 1119, 12809, 11502, 106, 2330, 1399, 1119, 7610, 1201, 1161, 1135, 488, 125, 123, 1276, 14851, 106, 2330, 1399, 1119, 7610, 1201, 1161, 1135, 488, 125, 124, 1243, 14917, 2305, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 30775, 185, 8565, 1306, 1157, 1239, 1135, 6402, 1372, 1276, 31094, 3481, 1147, 1135, 20876, 1306, 6154, 191, 1714, 6099, 1988, 1239, 1135, 2423, 7674, 1161, 1110, 1106, 1461, 1433, 1210, 5970, 1324, 1814, 4750, 2130, 30856, 121, 106, 106, 158, 15930, 106, 106, 6090, 1301, 1161, 1135, 5727, 7674, 106, 1428, 1135, 5457, 6289, 3261, 1839, 1346, 8996, 3282, 121, 8689, 2111, 31810, 10589, 1233, 3685, 1602, 2351, 12743, 1161, 1110, 6830, 7239, 1296, 1386, 1463, 1905, 1163, 22884, 1765, 22839, 121, 7013, 6514, 1761, 1106, 8588, 5661, 12674, 26076, 18303, 12439, 119, 2000, 17838, 1953, 1110, 3564, 1910, 1161, 1765, 6525, 21165, 4400, 1201, 22105, 1502, 1149, 1135, 7108, 1161, 1135, 17134, 1163, 1151, 9544, 14105, 11449, 4151, 185, 16639, 106, 106, 3466, 1135, 2954, 1161, 1135, 9164, 2910, 4151, 185, 1379, 1171, 12674, 26076, 18303, 12439, 119, 2293, 1239, 1693, 16386, 14082, 106, 106, 1428, 20778, 1449, 1151, 13748, 1212, 9149, 1161, 1135, 20083, 7239, 4064, 12674, 26076, 18303, 12439, 119, 6601, 1267, 20876, 1306, 6154, 191, 1239, 1110, 8701, 1291, 1224, 6374, 2111, 1161, 1135, 1693, 16386, 2392, 106, 106, 4848, 1135, 2661, 1161, 5204, 1107, 1233, 1568, 173, 2851, 20876, 1583, 28240, 1413, 14287, 1758, 2592, 6435, 1704, 4750, 8996, 2323, 30403, 1163, 1135, 1466, 17735, 189, 2111, 1175, 16130, 1161, 1135, 1235, 4034, 7975, 9105, 21365, 1302, 1135, 2017, 1386, 8761, 1393, 1543, 17161, 1285, 15474, 2157, 7087, 20378, 10170, 4978, 119, 21476, 3561, 1171, 1135, 6176, 8128, 4654, 10758, 3735, 4245, 1393, 1135, 1663, 2495, 16030, 183, 4834, 1135, 16918, 3395, 2324, 2035, 1419, 1171, 1110, 4607, 2323, 120, 2528, 1289, 1267, 4494, 1449, 31810, 1163, 1560, 4533, 121, 106, 106, 1598, 18375, 1583, 2704, 1302, 11449, 4151, 185, 1379, 1463, 7850, 1110, 8544, 10465, 1110, 3853, 1449, 1151, 10439, 8117, 10069, 21367, 1171, 1110, 2423, 10439, 8117, 5644, 1200, 6381, 2563, 1543, 3337, 21994, 1238, 21640, 1161, 1110, 31520, 2000, 1239, 1910, 1161, 1135, 4772, 1329, 10086, 2472, 2339, 1161, 1135, 1618, 7070, 106, 106, 2524, 2619, 1160, 1161, 1135, 11117, 106, 1598, 28849, 18376, 1296, 20876, 1306, 6154, 191, 1171, 1233, 1568, 173, 1199, 7003, 5145, 1866, 109, 4151, 185, 4748, 2000, 1618, 1741, 1163, 7969, 26802, 7884, 1799, 9686, 1147, 1135, 5119, 21026, 1135, 16918, 3395, 1161, 1135, 10589, 1233, 3685, 21263, 29154, 1163, 1110, 12520, 17819, 1324, 1151, 1186, 8919, 1310, 15224, 3575, 2067, 23293, 121, 106, 106, 151, 1128, 1659, 1233, 1568, 173, 1199, 2447, 9417, 1110, 7214, 5516, 1161, 1135, 10589, 1233, 3685, 1618, 7070, 1266, 17833, 1239, 3218, 121, 14113, 1135, 5516, 1161, 1135, 1656, 6307, 14369, 13736, 1156, 25929, 1393, 3218, 1147, 1110, 9499, 4454, 5360, 1361, 7729, 2844, 119, 1296, 2632, 1296, 1110, 23293, 183, 1431, 1302, 2055, 2023, 8720, 1449, 7087, 1767, 121, 6455, 8221, 3733, 1110, 1609, 3711, 7969, 8779, 1135, 5481, 119, 7175, 1110, 1734, 1171, 1170, 1342, 1457, 1202, 1392, 9841, 1449, 20876, 1306, 6154, 191, 1171, 1233, 1568, 173, 2851, 1135, 1131, 1839, 3777, 1497, 1953, 25278, 3545, 1110, 1270, 29753, 15289, 9668, 1110, 5397, 1857, 1171, 17346, 18175, 1684, 1110, 1455, 1633, 121, 1518, 7827, 12226, 3733, 1135, 1618, 1239, 13736, 1156, 1171, 1189, 3376, 4769, 20802, 133, 1239, 1341, 4151, 185, 4748, 1200, 6381, 2563, 1329, 7403, 2245, 138, 106, 106, 1598, 12962, 1570, 1336, 1161, 8128, 1214, 106, 1598, 1375, 1626, 1950, 190, 1135, 4772, 5641, 1302, 31810, 7563, 1110, 2226, 5700, 31717, 1226, 31093, 1171, 1165, 3179, 3603, 23814, 1500, 2000, 2055, 1466, 3522, 1147, 18283, 17444, 14817, 106, 106, 1598, 22824, 4772, 31717, 7175, 2320, 1147, 1135, 8836, 1126, 1361, 3965, 1124, 1297, 106, 106, 18628, 1413, 4263, 15222, 1762, 6176, 8128, 1214, 12962, 1570, 1297, 106, 106, 25290, 1269, 2470, 119, 1151, 13748, 1212, 9149, 1950, 190, 1135, 10589, 1233, 3685, 4772, 1302, 1135, 18083, 2379, 1602, 2023, 12682, 185, 18633, 1449, 4151, 185, 1379, 9360, 1171, 1583, 1280, 9553, 1226, 1110, 1177, 1220, 1137, 1161, 488, 125, 128, 4750, 8996, 2323, 30403, 1553, 106, 106, 157, 1146, 1306, 6154, 191, 1583, 9686, 1302, 6176, 8128, 1214, 1171, 21476, 1140, 4250, 1120, 178, 1660, 1156, 1296, 5886, 1242, 185, 1379, 3107, 2025, 1147, 22403, 186, 2707, 1446, 1135, 10220, 1163, 1683, 1154, 1506, 1135, 2017, 4772, 5641, 1171, 9089, 5478, 1315, 1226, 6039, 2810, 2993, 7168, 106, 106, 7914, 1551, 1201, 106, 157, 1146, 1306, 6154, 191, 106, 11633, 2116, 1107, 1233, 1568, 173, 1199, 106, 143, 27995, 4151, 185, 1379, 133, 1367, 13201, 1618, 1161, 1135, 7445, 1233, 3685, 106, 158, 1195, 1767, 1548, 3849, 173, 20695, 133, 1139, 7835, 1161, 31810, 1171, 14032, 1161, 10170, 4978, 1548, 3849, 173, 20695, 106, 151, 1231, 1140, 19231, 1415, 133, 12674, 26076, 18303, 12439, 1361, 13175, 106, 149, 1480, 1214, 133, 19048, 18656, 21743, 1594, 106, 146, 179, 4829, 1262, 1125, 5950, 1756, 1129, 133, 19048, 18656, 8886, 173, 4834, 2977, 8466, 2388, 1161, 1135, 18147, 4772, 1161, 1135, 10589, 1233, 3685, 106, 106, 157, 1146, 1306, 6154, 191, 26507, 106, 2700, 1146, 3481, 9578, 1147, 488, 124, 132, 132, 129, 32001, 488, 106, 32000, 20036, 106, 6880, 3780, 1278, 1227, 12682, 185, 8565, 1299, 1170, 2404, 197, 3555, 1125, 1158, 4726, 1125, 11350, 29995, 20876, 1306, 6154, 2771, 1768, 1299, 1170, 2423, 7674, 2335, 1106, 1461, 1433, 1244, 13551, 1469, 1814, 4750, 2130, 30856, 121, 106, 106, 157, 1234, 11125, 106, 106, 157, 20877, 1227, 19911, 11468, 106, 22507, 1207, 27867, 1125, 3261, 1839, 1346, 1186, 8996, 7165, 1548, 17252, 1793, 31810, 10589, 1233, 3685, 7424, 1125, 1127, 13639, 2519, 9135, 13590, 2558, 3042, 3365, 22767, 1131, 12092, 1594, 11707, 7441, 6280, 5921, 6514, 19600, 12674, 26076, 18303, 12439, 119, 1357, 23166, 1286, 2519, 18521, 3247, 1125, 1561, 6525, 21165, 30125, 1125, 1776, 1374, 1158, 4351, 1125, 1158, 26732, 1188, 1189, 9503, 119, 11449, 4151, 185, 16639, 106, 106, 2606, 2574, 1227, 7721, 1835, 4151, 185, 1379, 1167, 12674, 7480, 18303, 12439, 119, 11638, 1299, 1693, 16386, 3798, 106, 106, 1428, 1434, 244, 1215, 1318, 8710, 20775, 1227, 2929, 22704, 1129, 1128, 2714, 12674, 7480, 18303, 12439, 119, 1170, 19383, 20876, 1306, 6154, 191, 1299, 1170, 6374, 1793, 1946, 192, 4658, 1125, 18025, 16386, 6093, 106, 106, 140, 6854, 13324, 1227, 22652, 1233, 1568, 173, 2851, 20876, 3811, 21289, 12092, 1300, 1440, 14287, 1357, 6462, 29777, 1189, 4750, 1125, 30403, 2729, 3967, 1188, 3977, 1357, 11341, 25545, 5007, 3303, 1227, 1606, 5234, 26384, 31430, 1309, 1207, 2905, 1166, 1550, 7228, 1508, 2183, 17161, 1285, 1186, 1271, 3770, 28114, 7087, 20378, 10170, 4978, 119, 21476, 3561, 1167, 1170, 6018, 8128, 4654, 8649, 1258, 17161, 1234, 2072, 1170, 11649, 1404, 1544, 16030, 183, 4834, 1158, 21995, 2009, 2324, 2035, 1419, 1167, 1189, 4607, 1354, 120, 2528, 1289, 2038, 13348, 1215, 31810, 1256, 1982, 1197, 19901, 1457, 106, 106, 6880, 1108, 8622, 7349, 2960, 1309, 11449, 4151, 185, 1379, 3031, 2130, 8770, 1189, 1111, 5984, 1188, 1185, 3301, 1110, 2991, 2519, 2784, 8117, 10069, 21367, 1167, 2335, 2423, 2784, 8117, 5644, 1200, 6381, 2563, 2183, 3203, 1711, 4658, 1256, 1170, 2803, 2335, 4021, 4192, 9005, 3247, 1125, 1158, 4446, 1362, 1197, 5920, 2007, 1227, 1618, 1445, 121, 106, 106, 224, 25526, 1125, 8999, 1738, 1277, 106, 6880, 1342, 12980, 8718, 3042, 1309, 20876, 1306, 6154, 191, 1167, 1233, 1568, 173, 1199, 2004, 31720, 180, 1606, 24779, 1107, 1524, 4151, 185, 4748, 1357, 1299, 1215, 8317, 1188, 2368, 7197, 1562, 1657, 15518, 3342, 22813, 2089, 1313, 1207, 27867, 1158, 21995, 2009, 1125, 1158, 4446, 10589, 1233, 3685, 119, 10499, 1303, 1188, 1318, 8791, 12520, 1366, 1167, 1317, 2077, 1125, 5685, 1281, 5209, 1189, 17989, 1334, 9142, 1318, 15224, 9394, 1205, 184, 3125, 121, 106, 106, 2951, 1158, 18908, 1233, 1568, 173, 1199, 20912, 1318, 10719, 1415, 10554, 1227, 1618, 1445, 1197, 10589, 10175, 3296, 2502, 1288, 5209, 2811, 4414, 7823, 1125, 1158, 10719, 1415, 1197, 9462, 9653, 1238, 19619, 1313, 1318, 4685, 1186, 9499, 1314, 1197, 4105, 2007, 15985, 25262, 1313, 1158, 8052, 1303, 2442, 10440, 1600, 4618, 1357, 3618, 1913, 11708, 1215, 7087, 1767, 121, 1173, 2759, 1262, 1189, 18596, 192, 2368, 7197, 24824, 1125, 1158, 9855, 119, 5909, 1318, 8897, 1167, 21180, 1207, 8936, 121, 1202, 1627, 192, 28987, 1215, 20876, 1306, 6154, 191, 1167, 1233, 1568, 173, 2851, 1170, 1131, 1839, 7222, 1281, 5714, 1158, 4541, 2391, 2254, 4235, 3130, 1627, 5563, 119, 1186, 1131, 1105, 13503, 1186, 4595, 2519, 9245, 1167, 1186, 1275, 2318, 1149, 1172, 1199, 1125, 1158, 31538, 1298, 2596, 1198, 6452, 1300, 1170, 28190, 17571, 1299, 15985, 3356, 1167, 22434, 2532, 1364, 1257, 10515, 4605, 1125, 4151, 185, 4748, 1125, 1200, 6381, 2563, 1362, 1125, 17564, 19076, 1617, 106, 106, 3562, 26371, 1125, 8128, 1214, 106, 2606, 1375, 1369, 17009, 1571, 4634, 1125, 1158, 4446, 1980, 147, 1839, 186, 7253, 1370, 1309, 1158, 25451, 1125, 1685, 16924, 1160, 1186, 13325, 1125, 31093, 1167, 1165, 3179, 3603, 1197, 1110, 250, 176, 7153, 1357, 9442, 1225, 1217, 1120, 3731, 1313, 1197, 20760, 1794, 1164, 19610, 106, 106, 6880, 31092, 1678, 25451, 20854, 1110, 3601, 1313, 1207, 1116, 7887, 1227, 13337, 121, 106, 106, 216, 25994, 1125, 1816, 19845, 1105, 2620, 1170, 6018, 8128, 1214, 8246, 2813, 2771, 106, 106, 155, 14387, 1125, 2658, 19539, 8566, 1318, 8710, 20775, 28388, 1158, 4446, 10589, 1233, 3685, 1309, 5398, 4042, 3196, 1110, 1913, 1186, 2995, 244, 1215, 4151, 185, 1379, 10028, 1167, 2934, 1432, 2228, 244, 2714, 1318, 1177, 2196, 1105, 1125, 488, 125, 128, 5743, 1125, 30403, 2729, 3967, 1553, 106, 106, 157, 1146, 1306, 6154, 191, 22813, 1164, 1154, 1309, 1170, 6018, 8128, 1214, 1167, 21476, 1140, 4250, 1603, 1660, 244, 1186, 1606, 4151, 185, 1379, 15198, 6096, 1125, 1127, 11700, 2757, 1170, 4319, 1256, 1499, 1172, 1374, 1207, 2905, 4634, 1125, 1158, 4446, 1167, 1256, 1281, 1152, 20401, 1197, 2810, 2993, 1430, 1994, 1429, 1313, 1170, 1931, 3502, 106, 106, 155, 7849, 1741, 106, 157, 1146, 1306, 6154, 191, 106, 11633, 1470, 1369, 1233, 1568, 173, 1199, 106, 143, 27995, 4151, 185, 1379, 1257, 5598, 1125, 8970, 1197, 7445, 1233, 3685, 106, 158, 1195, 1767, 1548, 3849, 173, 20695, 1257, 1139, 31485, 13076, 1839, 186, 1167, 16722, 1125, 10170, 4978, 1548, 3849, 173, 20695, 106, 151, 1231, 1140, 19231, 1415, 1257, 7177, 1105, 12412, 1245, 7480, 18303, 12439, 106, 149, 1480, 1214, 1257, 8658, 6514, 1533, 13076, 1839, 186, 106, 146, 179, 4829, 1262, 1125, 5950, 1756, 1129, 1257, 8918, 1109, 13076, 1839, 2086, 4755, 10790, 1105, 1125, 1158, 4446, 11507, 1366, 1197, 10589, 1233, 3685, 106, 106, 3681, 4354, 1125, 20876, 1306, 6154, 191, 106, 3681, 4354, 1125, 11350, 29995, 9665, 1186, 488, 124, 132, 132, 129, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 6880, 3780, 1278, 1227, 12682, 185, 8565, 1299, 1170, 2404, 197, 3555, 1125, 1158, 4726, 1125, 11350, 29995, 20876, 1306, 6154, 2771, 1768, 1299, 1170, 2423, 7674, 2335, 1106, 1461, 1433, 1244, 13551, 1469, 1814, 4750, 2130, 30856, 121, 106, 106, 157, 1234, 11125, 106, 106, 157, 20877, 1227, 19911, 11468, 106, 22507, 1207, 27867, 1125, 3261, 1839, 1346, 1186, 8996, 7165, 1548, 17252, 1793, 31810, 10589, 1233, 3685, 7424, 1125, 1127, 13639, 2519, 9135, 13590, 2558, 3042, 3365, 22767, 1131, 12092, 1594, 11707, 7441, 6280, 5921, 6514, 19600, 12674, 26076, 18303, 12439, 119, 1357, 23166, 1286, 2519, 18521, 3247, 1125, 1561, 6525, 21165, 30125, 1125, 1776, 1374, 1158, 4351, 1125, 1158, 26732, 1188, 1189, 9503, 119, 11449, 4151, 185, 16639, 106, 106, 2606, 2574, 1227, 7721, 1835, 4151, 185, 1379, 1167, 12674, 7480, 18303, 12439, 119, 11638, 1299, 1693, 16386, 3798, 106, 106, 1428, 1434, 244, 1215, 1318, 8710, 20775, 1227, 2929, 22704, 1129, 1128, 2714, 12674, 7480, 18303, 12439, 119, 1170, 19383, 20876, 1306, 6154, 191, 1299, 1170, 6374, 1793, 1946, 192, 4658, 1125, 18025, 16386, 6093, 106, 106, 140, 6854, 13324, 1227, 22652, 1233, 1568, 173, 2851, 20876, 3811, 21289, 12092, 1300, 1440, 14287, 1357, 6462, 29777, 1189, 4750, 1125, 30403, 2729, 3967, 1188, 3977, 1357, 11341, 25545, 5007, 3303, 1227, 1606, 5234, 26384, 31430, 1309, 1207, 2905, 1166, 1550, 7228, 1508, 2183, 17161, 1285, 1186, 1271, 3770, 28114, 7087, 20378, 10170, 4978, 119, 21476, 3561, 1167, 1170, 6018, 8128, 4654, 8649, 1258, 17161, 1234, 2072, 1170, 11649, 1404, 1544, 16030, 183, 4834, 1158, 21995, 2009, 2324, 2035, 1419, 1167, 1189, 4607, 1354, 120, 2528, 1289, 2038, 13348, 1215, 31810, 1256, 1982, 1197, 19901, 1457, 106, 106, 6880, 1108, 8622, 7349, 2960, 1309, 11449, 4151, 185, 1379, 3031, 2130, 8770, 1189, 1111, 5984, 1188, 1185, 3301, 1110, 2991, 2519, 2784, 8117, 10069, 21367, 1167, 2335, 2423, 2784, 8117, 5644, 1200, 6381, 2563, 2183, 3203, 1711, 4658, 1256, 1170, 2803, 2335, 4021, 4192, 9005, 3247, 1125, 1158, 4446, 1362, 1197, 5920, 2007, 1227, 1618, 1445, 121, 106, 106, 224, 25526, 1125, 8999, 1738, 1277, 106, 6880, 1342, 12980, 8718, 3042, 1309, 20876, 1306, 6154, 191, 1167, 1233, 1568, 173, 1199, 2004, 31720, 180, 1606, 24779, 1107, 1524, 4151, 185, 4748, 1357, 1299, 1215, 8317, 1188, 2368, 7197, 1562, 1657, 15518, 3342, 22813, 2089, 1313, 1207, 27867, 1158, 21995, 2009, 1125, 1158, 4446, 10589, 1233, 3685, 119, 10499, 1303, 1188, 1318, 8791, 12520, 1366, 1167, 1317, 2077, 1125, 5685, 1281, 5209, 1189, 17989, 1334, 9142, 1318, 15224, 9394, 1205, 184, 3125, 121, 106, 106, 2951, 1158, 18908, 1233, 1568, 173, 1199, 20912, 1318, 10719, 1415, 10554, 1227, 1618, 1445, 1197, 10589, 10175, 3296, 2502, 1288, 5209, 2811, 4414, 7823, 1125, 1158, 10719, 1415, 1197, 9462, 9653, 1238, 19619, 1313, 1318, 4685, 1186, 9499, 1314, 1197, 4105, 2007, 15985, 25262, 1313, 1158, 8052, 1303, 2442, 10440, 1600, 4618, 1357, 3618, 1913, 11708, 1215, 7087, 1767, 121, 1173, 2759, 1262, 1189, 18596, 192, 2368, 7197, 24824, 1125, 1158, 9855, 119, 5909, 1318, 8897, 1167, 21180, 1207, 8936, 121, 1202, 1627, 192, 28987, 1215, 20876, 1306, 6154, 191, 1167, 1233, 1568, 173, 2851, 1170, 1131, 1839, 7222, 1281, 5714, 1158, 4541, 2391, 2254, 4235, 3130, 1627, 5563, 119, 1186, 1131, 1105, 13503, 1186, 4595, 2519, 9245, 1167, 1186, 1275, 2318, 1149, 1172, 1199, 1125, 1158, 31538, 1298, 2596, 1198, 6452, 1300, 1170, 28190, 17571, 1299, 15985, 3356, 1167, 22434, 2532, 1364, 1257, 10515, 4605, 1125, 4151, 185, 4748, 1125, 1200, 6381, 2563, 1362, 1125, 17564, 19076, 1617, 106, 106, 3562, 26371, 1125, 8128, 1214, 106, 2606, 1375, 1369, 17009, 1571, 4634, 1125, 1158, 4446, 1980, 147, 1839, 186, 7253, 1370, 1309, 1158, 25451, 1125, 1685, 16924, 1160, 1186, 13325, 1125, 31093, 1167, 1165, 3179, 3603, 1197, 1110, 250, 176, 7153, 1357, 9442, 1225, 1217, 1120, 3731, 1313, 1197, 20760, 1794, 1164, 19610, 106, 106, 6880, 31092, 1678, 25451, 20854, 1110, 3601, 1313, 1207, 1116, 7887, 1227, 13337, 121, 106, 106, 216, 25994, 1125, 1816, 19845, 1105, 2620, 1170, 6018, 8128, 1214, 8246, 2813, 2771, 106, 106, 155, 14387, 1125, 2658, 19539, 8566, 1318, 8710, 20775, 28388, 1158, 4446, 10589, 1233, 3685, 1309, 5398, 4042, 3196, 1110, 1913, 1186, 2995, 244, 1215, 4151, 185, 1379, 10028, 1167, 2934, 1432, 2228, 244, 2714, 1318, 1177, 2196, 1105, 1125, 488, 125, 128, 5743, 1125, 30403, 2729, 3967, 1553, 106, 106, 157, 1146, 1306, 6154, 191, 22813, 1164, 1154, 1309, 1170, 6018, 8128, 1214, 1167, 21476, 1140, 4250, 1603, 1660, 244, 1186, 1606, 4151, 185, 1379, 15198, 6096, 1125, 1127, 11700, 2757, 1170, 4319, 1256, 1499, 1172, 1374, 1207, 2905, 4634, 1125, 1158, 4446, 1167, 1256, 1281, 1152, 20401, 1197, 2810, 2993, 1430, 1994, 1429, 1313, 1170, 1931, 3502, 106, 106, 155, 7849, 1741, 106, 157, 1146, 1306, 6154, 191, 106, 11633, 1470, 1369, 1233, 1568, 173, 1199, 106, 143, 27995, 4151, 185, 1379, 1257, 5598, 1125, 8970, 1197, 7445, 1233, 3685, 106, 158, 1195, 1767, 1548, 3849, 173, 20695, 1257, 1139, 31485, 13076, 1839, 186, 1167, 16722, 1125, 10170, 4978, 1548, 3849, 173, 20695, 106, 151, 1231, 1140, 19231, 1415, 1257, 7177, 1105, 12412, 1245, 7480, 18303, 12439, 106, 149, 1480, 1214, 1257, 8658, 6514, 1533, 13076, 1839, 186, 106, 146, 179, 4829, 1262, 1125, 5950, 1756, 1129, 1257, 8918, 1109, 13076, 1839, 2086, 4755, 10790, 1105, 1125, 1158, 4446, 11507, 1366, 1197, 10589, 1233, 3685, 106, 106, 3681, 4354, 1125, 20876, 1306, 6154, 191, 106, 3681, 4354, 1125, 11350, 29995, 9665, 1186, 488, 124, 132, 132, 129, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 158, 3178, 186, 1350, 13072, 172, 1125, 24732, 2589, 5945, 24051, 1170, 488, 488, 125, 127, 2875, 488, 124, 132, 123, 128, 1188, 14436, 4691, 172, 1167, 4541, 1170, 488, 488, 124, 1107, 2578, 488, 124, 132, 132, 126, 1188, 19682, 116, 1299, 1189, 11486, 28269, 2038, 13870, 16432, 1768, 1110, 8121, 1594, 30650, 1167, 22854, 1419, 1188, 4732, 15324, 1167, 1527, 1299, 4541, 1170, 488, 124, 1107, 2578, 488, 124, 132, 132, 126, 1188, 19682, 121, 1653, 488, 124, 132, 128, 132, 119, 1527, 1299, 1158, 12228, 1128, 1227, 3248, 21504, 1140, 1125, 5934, 4058, 1362, 6325, 3603, 3365, 8478, 1469, 1594, 29139, 23302, 1518, 2589, 23716, 1256, 2770, 12339, 1300, 1158, 26850, 1125, 1282, 19506, 121, 106, 106, 141, 11741, 106, 145, 2312, 1125, 29347, 186, 27111, 1350, 13072, 1810, 13652, 1167, 5598, 12863, 5291, 1167, 1125, 27761, 1108, 1125, 24732, 2589, 186, 5520, 29347, 186, 1350, 13072, 172, 1299, 1170, 1288, 1196, 192, 1304, 119, 4637, 1125, 1158, 7732, 13870, 1731, 1186, 1279, 1142, 1125, 488, 124, 132, 127, 123, 1188, 488, 124, 132, 127, 128, 119, 1167, 1189, 18225, 1109, 1125, 1158, 2958, 1630, 3402, 1167, 11876, 22497, 20292, 10831, 1125, 24732, 2589, 5945, 121, 106, 106, 158, 1105, 9159, 19859, 3817, 1527, 1110, 10600, 2165, 1167, 1561, 10023, 2368, 3173, 5738, 1188, 4732, 1193, 1810, 2585, 1527, 8833, 1849, 19543, 21701, 1167, 2423, 7441, 6218, 13315, 1256, 1158, 3260, 4058, 1299, 12429, 10898, 1215, 1207, 14819, 1227, 11001, 12671, 1167, 3248, 21504, 1140, 24587, 1173, 2694, 9143, 13082, 6930, 1251, 1165, 4520, 3850, 106, 106, 1686, 488, 124, 132, 125, 132, 119, 29347, 186, 1350, 13072, 172, 7354, 28067, 1186, 16619, 1188, 15714, 1125, 19682, 121, 106, 106, 1686, 488, 124, 132, 128, 129, 119, 1527, 1299, 15503, 14169, 8403, 121, 29347, 186, 1350, 13072, 172, 7354, 6711, 6771, 3711, 1125, 1158, 11801, 13309, 1170, 488, 124, 125, 2798, 488, 124, 132, 130, 125, 121, 106, 106, 158, 1105, 16722, 19859, 1186, 488, 124, 132, 131, 129, 121, 1768, 19859, 1186, 488, 124, 132, 132, 126, 121, 106, 106, 5164, 1299, 1170, 2511, 120, 1986, 1126, 1125, 10721, 9034, 4852, 3382, 1350, 13072, 2036, 106, 106, 147, 2508, 1741, 106, 2029, 1197, 12186, 1166, 30239, 1541, 1125, 19682, 4665, 1594, 1874, 1167, 1318, 17030, 21701, 1188, 4732, 1193, 2036, 106, 106, 282, 10843, 106, 106, 155, 3303, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 141, 13449, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 2036, 1643, 1895, 1642, 6930, 1125, 8466, 1287, 3278, 119, 19682, 119, 1254, 3359, 25285, 29109, 236, 184, 10406, 488, 124, 132, 132, 127, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 22708, 172, 1110, 29347, 186, 1350, 13072, 1810, 19682, 119, 14005, 4731, 9915, 1146, 5160, 488, 124, 132, 132, 130, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 172, 1175, 3562, 1186, 1174, 1121, 4180, 1540, 2128, 1217, 1496, 25823, 7664, 2358, 1992, 5086, 149, 1119, 3392, 488, 125, 123, 123, 126, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 172, 1251, 10665, 22710, 1810, 19682, 119, 14005, 5700, 21659, 1824, 172, 4338, 2506, 13775, 2068, 177, 1376, 186, 6293, 248, 12603, 22611, 1506, 1107, 2086, 488, 125, 123, 123, 128, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 2036, 7072, 1307, 14192, 16330, 2063, 1535, 1474, 119, 19682, 119, 16216, 2111, 7531, 31336, 3733, 488, 125, 123, 123, 128, 121, 106, 106, 28870, 5825, 106, 106, 141, 2504, 28269, 2038, 24587, 106, 4968, 1354, 1533, 1460, 24587, 1227, 23841, 6298, 106, 155, 7849, 1902, 7666, 1136, 3556, 106, 29741, 4192, 24587, 1227, 23841, 6298, 106, 224, 183, 4567, 1125, 1282, 6913, 5345, 6772, 1304, 9570, 106, 157, 21467, 1125, 1158, 3079, 1176, 28192, 1125, 7572, 3324, 2972, 106, 224, 24116, 1125, 15714, 2784, 1178, 1811, 1125, 19682, 106, 224, 24116, 1125, 1158, 2482, 4524, 4017, 5761, 1161, 22683, 106, 27938, 9892, 1188, 15714, 23169, 1125, 19682, 106, 13606, 1836, 12886, 1120, 12488, 172, 1125, 15714, 5519, 1380, 2009, 106, 13606, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 29485, 1217, 6000, 106, 13606, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1227, 1539, 2993, 106, 13606, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 3281, 28688, 3840, 23678, 5838, 1378, 106, 13606, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 4732, 15324, 106, 13606, 1836, 12886, 1120, 12488, 172, 1125, 15714, 1125, 26067, 106, 157, 1416, 1461, 22733, 1369, 1125, 1158, 4966, 5645, 1132, 1161, 8838, 106, 151, 24666, 1128, 1227, 3248, 21504, 1140, 1125, 5934, 4058, 1362, 16619, 106, 151, 24666, 1128, 8403, 1227, 3248, 21504, 1140, 106, 151, 24666, 1128, 24587, 1227, 3248, 21504, 1140, 106, 8857, 1829, 6771, 3711, 1125, 1158, 11801, 13309, 106, 8857, 1829, 1125, 31805, 16392, 3796, 1366, 1197, 11733, 106, 8857, 1829, 1125, 31805, 20020, 1197, 11733, 1548, 1273, 2066, 3382, 106, 8857, 1829, 1125, 31805, 1197, 11733, 1125, 1158, 1248, 8567, 106, 153, 3400, 1186, 2875, 488, 124, 132, 123, 128, 106, 153, 3400, 1313, 1207, 15701, 1136, 1429, 106, 31133, 1467, 1186, 2578, 488, 124, 132, 132, 126, 106, 31133, 1467, 1188, 19682, 106, 31133, 1467, 1188, 488, 131, 131, 2165, 106, 224, 1614, 20028, 2335, 6999, 29346, 32001, 488, 106, 32000, 20036, 106, 158, 3178, 186, 1350, 13072, 172, 1125, 24732, 2589, 5945, 6256, 2589, 7327, 488, 125, 127, 119, 488, 124, 132, 123, 128, 1147, 14436, 4691, 172, 1171, 12743, 1238, 7286, 488, 124, 119, 488, 124, 132, 132, 126, 1147, 19682, 116, 1463, 1110, 18451, 3260, 6154, 184, 22676, 2133, 10939, 1765, 25425, 1171, 22854, 1419, 1147, 4732, 15324, 1171, 12743, 1238, 7286, 488, 124, 119, 488, 124, 132, 132, 126, 1147, 19682, 121, 1459, 488, 124, 132, 128, 132, 119, 1386, 1463, 21302, 1135, 21504, 1140, 30558, 1147, 2708, 5088, 4529, 1329, 23639, 3603, 1758, 1386, 10195, 1324, 1765, 6924, 23302, 1518, 2589, 23716, 1226, 1789, 4533, 1238, 1248, 8556, 11362, 1104, 5068, 106, 106, 141, 180, 11114, 106, 158, 1105, 1161, 29347, 186, 27111, 1350, 13072, 1810, 1110, 29695, 1171, 3434, 10465, 1171, 27761, 1108, 1125, 24732, 2589, 186, 5520, 29347, 186, 1350, 13072, 172, 1463, 1135, 1288, 187, 15296, 1161, 1859, 10283, 1161, 1135, 18451, 9629, 1147, 1279, 1399, 1446, 488, 124, 132, 127, 123, 1163, 488, 124, 132, 127, 128, 119, 1171, 1110, 18225, 1109, 1161, 1135, 21975, 1171, 8717, 1626, 15404, 20292, 10831, 1125, 24732, 2589, 5945, 121, 106, 106, 147, 1120, 11432, 12743, 2043, 1386, 1463, 11386, 3162, 4006, 1171, 1765, 10886, 11085, 1163, 4732, 1193, 1810, 2468, 1386, 22539, 9832, 1171, 20649, 28673, 7013, 4522, 1147, 3260, 4529, 1463, 12429, 15665, 1449, 1135, 14819, 1161, 1135, 18451, 11001, 25188, 1171, 21504, 1140, 1158, 1278, 1230, 1173, 2694, 9143, 13082, 6930, 1251, 1165, 4520, 3850, 106, 106, 1428, 488, 124, 132, 125, 132, 119, 29347, 186, 1350, 13072, 172, 18850, 1765, 8964, 10375, 1446, 1135, 4017, 1161, 19682, 121, 106, 106, 1428, 488, 124, 132, 128, 129, 119, 1386, 7905, 1110, 8108, 2928, 4950, 1116, 10893, 4414, 29347, 186, 1350, 13072, 172, 1463, 21247, 1296, 1110, 11378, 6644, 1161, 1135, 11801, 13309, 1238, 6384, 488, 124, 125, 119, 488, 124, 132, 130, 125, 121, 106, 106, 147, 1120, 14032, 8576, 5064, 1147, 488, 124, 132, 131, 129, 121, 2133, 12743, 1147, 488, 124, 132, 132, 126, 121, 106, 106, 3780, 1239, 1135, 3386, 22206, 2927, 1161, 1135, 1332, 16310, 4852, 3382, 1350, 13072, 2036, 106, 106, 159, 8057, 106, 10442, 1161, 1135, 2274, 22355, 2314, 1147, 19682, 1280, 2289, 1765, 2220, 1171, 1110, 9832, 3875, 1147, 4732, 1193, 2036, 106, 106, 10488, 190, 106, 106, 140, 5381, 106, 106, 1891, 9520, 106, 106, 141, 4807, 11114, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 2036, 1643, 1895, 1642, 6930, 1125, 8466, 1287, 3278, 119, 19682, 119, 1254, 3359, 25285, 29109, 236, 184, 10406, 488, 124, 132, 132, 127, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 22708, 172, 1110, 29347, 186, 1350, 13072, 1810, 19682, 119, 14005, 4731, 9915, 1146, 5160, 488, 124, 132, 132, 130, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 172, 1175, 3562, 1186, 1174, 1121, 4180, 1540, 2128, 1217, 1496, 4173, 174, 3015, 1810, 2358, 1992, 5086, 149, 1119, 3392, 488, 125, 123, 123, 126, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 172, 1251, 10665, 22710, 1810, 19682, 119, 14005, 5700, 21659, 1824, 172, 4338, 2506, 13775, 2068, 177, 1376, 186, 6293, 248, 12603, 22611, 1506, 1107, 2086, 488, 125, 123, 123, 128, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 2036, 7072, 1307, 14192, 16330, 2063, 1535, 1474, 119, 19682, 119, 16216, 2111, 7531, 31336, 3733, 488, 125, 123, 123, 128, 121, 106, 106, 26722, 14520, 106, 9592, 15491, 3260, 6154, 184, 4045, 106, 125, 123, 1276, 25128, 4532, 18451, 24067, 106, 140, 1243, 1136, 2323, 5822, 2695, 106, 125, 123, 1276, 25128, 4532, 18451, 12512, 184, 3674, 106, 3681, 3109, 180, 1161, 1135, 4138, 2052, 1308, 24323, 24155, 1125, 1653, 1206, 252, 1119, 7348, 106, 2471, 7256, 1161, 1135, 3079, 1176, 28192, 1125, 7572, 3324, 2972, 106, 2700, 1291, 1178, 1811, 4017, 1161, 19682, 1294, 3109, 180, 106, 7083, 4524, 4017, 5761, 1161, 22683, 1294, 3109, 180, 106, 145, 1183, 28755, 1161, 1135, 3698, 3007, 1212, 4017, 1161, 19682, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 1192, 1380, 2009, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 29485, 1217, 6000, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 1539, 1399, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 1173, 2694, 9143, 1125, 1748, 5838, 4460, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 4732, 15324, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 26067, 106, 6090, 1461, 21502, 1161, 1135, 4966, 5645, 1132, 1161, 8838, 106, 153, 1383, 1140, 1158, 1278, 2026, 1147, 2708, 5088, 4529, 1329, 22683, 106, 140, 16609, 21504, 1140, 1158, 1278, 2026, 106, 9592, 15491, 21504, 1140, 1158, 1278, 2026, 106, 145, 26760, 5641, 1161, 1135, 11801, 13309, 106, 8857, 3232, 1161, 1135, 1202, 1105, 1533, 1926, 15567, 1161, 10850, 106, 8857, 3232, 1161, 1135, 7927, 15567, 1161, 10850, 1548, 1273, 2066, 3382, 106, 8857, 3232, 1161, 1135, 15567, 1161, 10850, 1161, 1135, 11356, 157, 106, 141, 2589, 1147, 7327, 488, 124, 132, 123, 128, 106, 141, 2589, 1147, 15701, 1136, 5787, 106, 143, 2295, 1147, 7286, 488, 124, 132, 132, 126, 106, 143, 2295, 1147, 19682, 106, 143, 2295, 1355, 7227, 488, 131, 131, 106, 144, 1614, 3291, 1161, 1110, 2398, 4324, 1132, 3669, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 3178, 186, 1350, 13072, 172, 1125, 24732, 2589, 5945, 6256, 2589, 7327, 488, 125, 127, 119, 488, 124, 132, 123, 128, 1147, 14436, 4691, 172, 1171, 12743, 1238, 7286, 488, 124, 119, 488, 124, 132, 132, 126, 1147, 19682, 116, 1463, 1110, 18451, 3260, 6154, 184, 22676, 2133, 10939, 1765, 25425, 1171, 22854, 1419, 1147, 4732, 15324, 1171, 12743, 1238, 7286, 488, 124, 119, 488, 124, 132, 132, 126, 1147, 19682, 121, 1459, 488, 124, 132, 128, 132, 119, 1386, 1463, 21302, 1135, 21504, 1140, 30558, 1147, 2708, 5088, 4529, 1329, 23639, 3603, 1758, 1386, 10195, 1324, 1765, 6924, 23302, 1518, 2589, 23716, 1226, 1789, 4533, 1238, 1248, 8556, 11362, 1104, 5068, 106, 106, 141, 180, 11114, 106, 158, 1105, 1161, 29347, 186, 27111, 1350, 13072, 1810, 1110, 29695, 1171, 3434, 10465, 1171, 27761, 1108, 1125, 24732, 2589, 186, 5520, 29347, 186, 1350, 13072, 172, 1463, 1135, 1288, 187, 15296, 1161, 1859, 10283, 1161, 1135, 18451, 9629, 1147, 1279, 1399, 1446, 488, 124, 132, 127, 123, 1163, 488, 124, 132, 127, 128, 119, 1171, 1110, 18225, 1109, 1161, 1135, 21975, 1171, 8717, 1626, 15404, 20292, 10831, 1125, 24732, 2589, 5945, 121, 106, 106, 147, 1120, 11432, 12743, 2043, 1386, 1463, 11386, 3162, 4006, 1171, 1765, 10886, 11085, 1163, 4732, 1193, 1810, 2468, 1386, 22539, 9832, 1171, 20649, 28673, 7013, 4522, 1147, 3260, 4529, 1463, 12429, 15665, 1449, 1135, 14819, 1161, 1135, 18451, 11001, 25188, 1171, 21504, 1140, 1158, 1278, 1230, 1173, 2694, 9143, 13082, 6930, 1251, 1165, 4520, 3850, 106, 106, 1428, 488, 124, 132, 125, 132, 119, 29347, 186, 1350, 13072, 172, 18850, 1765, 8964, 10375, 1446, 1135, 4017, 1161, 19682, 121, 106, 106, 1428, 488, 124, 132, 128, 129, 119, 1386, 7905, 1110, 8108, 2928, 4950, 1116, 10893, 4414, 29347, 186, 1350, 13072, 172, 1463, 21247, 1296, 1110, 11378, 6644, 1161, 1135, 11801, 13309, 1238, 6384, 488, 124, 125, 119, 488, 124, 132, 130, 125, 121, 106, 106, 147, 1120, 14032, 8576, 5064, 1147, 488, 124, 132, 131, 129, 121, 2133, 12743, 1147, 488, 124, 132, 132, 126, 121, 106, 106, 3780, 1239, 1135, 3386, 22206, 2927, 1161, 1135, 1332, 16310, 4852, 3382, 1350, 13072, 2036, 106, 106, 159, 8057, 106, 10442, 1161, 1135, 2274, 22355, 2314, 1147, 19682, 1280, 2289, 1765, 2220, 1171, 1110, 9832, 3875, 1147, 4732, 1193, 2036, 106, 106, 10488, 190, 106, 106, 140, 5381, 106, 106, 1891, 9520, 106, 106, 141, 4807, 11114, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 2036, 1643, 1895, 1642, 6930, 1125, 8466, 1287, 3278, 119, 19682, 119, 1254, 3359, 25285, 29109, 236, 184, 10406, 488, 124, 132, 132, 127, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 22708, 172, 1110, 29347, 186, 1350, 13072, 1810, 19682, 119, 14005, 4731, 9915, 1146, 5160, 488, 124, 132, 132, 130, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 172, 1175, 3562, 1186, 1174, 1121, 4180, 1540, 2128, 1217, 1496, 4173, 174, 3015, 1810, 2358, 1992, 5086, 149, 1119, 3392, 488, 125, 123, 123, 126, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 172, 1251, 10665, 22710, 1810, 19682, 119, 14005, 5700, 21659, 1824, 172, 4338, 2506, 13775, 2068, 177, 1376, 186, 6293, 248, 12603, 22611, 1506, 1107, 2086, 488, 125, 123, 123, 128, 121, 106, 24338, 4384, 1293, 254, 1232, 197, 3441, 1199, 5160, 29347, 186, 1350, 13072, 2036, 7072, 1307, 14192, 16330, 2063, 1535, 1474, 119, 19682, 119, 16216, 2111, 7531, 31336, 3733, 488, 125, 123, 123, 128, 121, 106, 106, 26722, 14520, 106, 9592, 15491, 3260, 6154, 184, 4045, 106, 125, 123, 1276, 25128, 4532, 18451, 24067, 106, 140, 1243, 1136, 2323, 5822, 2695, 106, 125, 123, 1276, 25128, 4532, 18451, 12512, 184, 3674, 106, 3681, 3109, 180, 1161, 1135, 4138, 2052, 1308, 24323, 24155, 1125, 1653, 1206, 252, 1119, 7348, 106, 2471, 7256, 1161, 1135, 3079, 1176, 28192, 1125, 7572, 3324, 2972, 106, 2700, 1291, 1178, 1811, 4017, 1161, 19682, 1294, 3109, 180, 106, 7083, 4524, 4017, 5761, 1161, 22683, 1294, 3109, 180, 106, 145, 1183, 28755, 1161, 1135, 3698, 3007, 1212, 4017, 1161, 19682, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 1192, 1380, 2009, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 29485, 1217, 6000, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 1539, 1399, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 1173, 2694, 9143, 1125, 1748, 5838, 4460, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 4732, 15324, 106, 147, 1105, 1121, 1626, 28357, 1161, 1135, 4017, 1161, 26067, 106, 6090, 1461, 21502, 1161, 1135, 4966, 5645, 1132, 1161, 8838, 106, 153, 1383, 1140, 1158, 1278, 2026, 1147, 2708, 5088, 4529, 1329, 22683, 106, 140, 16609, 21504, 1140, 1158, 1278, 2026, 106, 9592, 15491, 21504, 1140, 1158, 1278, 2026, 106, 145, 26760, 5641, 1161, 1135, 11801, 13309, 106, 8857, 3232, 1161, 1135, 1202, 1105, 1533, 1926, 15567, 1161, 10850, 106, 8857, 3232, 1161, 1135, 7927, 15567, 1161, 10850, 1548, 1273, 2066, 3382, 106, 8857, 3232, 1161, 1135, 15567, 1161, 10850, 1161, 1135, 11356, 157, 106, 141, 2589, 1147, 7327, 488, 124, 132, 123, 128, 106, 141, 2589, 1147, 15701, 1136, 5787, 106, 143, 2295, 1147, 7286, 488, 124, 132, 132, 126, 106, 143, 2295, 1147, 19682, 106, 143, 2295, 1355, 7227, 488, 131, 131, 106, 144, 1614, 3291, 1161, 1110, 2398, 4324, 1132, 3669, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 147, 3567, 186, 1293, 2451, 1214, 1175, 124, 132, 124, 126, 120, 125, 123, 123, 132, 116, 1299, 6113, 1197, 3080, 2518, 1227, 9048, 2451, 1214, 1321, 180, 192, 8157, 1953, 192, 2546, 2445, 9918, 1856, 1170, 1321, 180, 192, 8157, 1953, 192, 23464, 1354, 1362, 1321, 149, 24029, 1867, 11231, 1734, 189, 3988, 8670, 2504, 2888, 1123, 1207, 6048, 14719, 1197, 19353, 1525, 1227, 5455, 1387, 172, 1204, 1953, 5173, 186, 6353, 25639, 1571, 25565, 1701, 1125, 7027, 14473, 3212, 7037, 1317, 1321, 180, 192, 8740, 1953, 192, 2167, 16349, 1354, 1125, 18147, 3389, 1313, 1207, 31304, 1125, 1352, 1366, 1198, 1506, 2086, 1469, 1197, 18754, 1690, 1125, 1734, 189, 1278, 1167, 1125, 15642, 1125, 9524, 4399, 121, 1768, 1299, 1215, 29967, 15112, 1856, 6113, 1197, 23068, 1125, 1158, 22158, 1167, 6113, 1197, 7790, 23276, 25539, 1125, 13400, 1227, 3261, 1234, 11127, 106, 5164, 1110, 1913, 12688, 1215, 6597, 5371, 191, 19738, 5598, 1125, 9911, 488, 124, 132, 132, 130, 121, 1768, 1299, 1170, 9159, 1125, 5087, 25565, 1701, 31797, 1856, 25121, 2443, 1293, 2451, 2620, 6123, 2495, 1293, 2451, 2620, 6123, 1159, 1293, 2451, 1214, 1167, 1170, 20840, 1125, 1282, 160, 9983, 1248, 1121, 1231, 1293, 2451, 4654, 106, 106, 2606, 9524, 1170, 1408, 2102, 1125, 13400, 25098, 3601, 1186, 488, 124, 132, 128, 128, 1835, 1306, 3567, 186, 1293, 2451, 1214, 1175, 129, 127, 14829, 116, 1167, 1594, 7271, 29139, 3728, 1208, 4540, 9851, 4436, 1175, 132, 128, 14829, 1576, 1306, 3567, 186, 1466, 2689, 17569, 2548, 2209, 2750, 1189, 9524, 1125, 488, 126, 4898, 1167, 488, 127, 128, 4826, 1175, 125, 125, 128, 4826, 1576, 106, 106, 2606, 25565, 1199, 1227, 1233, 149, 149, 106, 106, 1686, 17713, 25891, 8670, 2504, 1293, 2451, 1214, 2368, 9205, 2065, 1416, 1608, 172, 1318, 20450, 18448, 1167, 488, 129, 28296, 1234, 1125, 16956, 1186, 11597, 2086, 1527, 1299, 2445, 6113, 1197, 22222, 25565, 1701, 5315, 22696, 1318, 20450, 10293, 1186, 1321, 180, 192, 8157, 1953, 192, 2167, 16349, 11493, 2487, 1527, 1299, 1189, 1197, 20840, 1297, 7155, 1594, 1360, 6909, 1527, 1110, 21146, 1167, 7457, 14317, 1170, 1225, 180, 192, 8740, 1953, 192, 17911, 6256, 1354, 1309, 8823, 1249, 1197, 1293, 2451, 1429, 2666, 3499, 1188, 1116, 1334, 12732, 11087, 2962, 1207, 6048, 1227, 1225, 180, 192, 8740, 1953, 192, 2167, 16349, 1354, 6096, 3839, 14931, 1313, 1170, 1225, 180, 192, 8740, 1953, 192, 17911, 1167, 1313, 1170, 5455, 186, 1576, 4466, 2069, 12594, 1557, 1117, 4542, 1225, 180, 192, 8740, 1953, 192, 17911, 1167, 2167, 16349, 11493, 2004, 3902, 18305, 1129, 1300, 1207, 10102, 1125, 11424, 1374, 1167, 1170, 6315, 1227, 3620, 2500, 1856, 1197, 7453, 1125, 10119, 1107, 1207, 25148, 1125, 7027, 1167, 1125, 1734, 189, 1278, 1835, 18754, 1690, 23924, 1188, 1197, 13505, 2205, 12496, 1457, 1768, 25005, 20045, 2774, 2335, 11867, 10562, 1256, 1282, 28892, 1317, 4075, 2874, 1580, 1597, 23230, 7857, 1314, 11019, 31428, 1317, 3261, 1234, 6152, 1317, 1352, 1366, 1111, 28209, 1323, 1667, 1299, 7545, 1576, 106, 106, 143, 16274, 1561, 12835, 8670, 2504, 1293, 2451, 1214, 3912, 2774, 11705, 1125, 5087, 31304, 2714, 1197, 18754, 1690, 1906, 1408, 6804, 1167, 1110, 5060, 2433, 1906, 1408, 10100, 5996, 12932, 1125, 1909, 9524, 1285, 3365, 8225, 11708, 119, 1557, 3393, 1258, 12634, 1257, 106, 106, 2606, 3151, 1281, 8866, 4313, 1186, 488, 124, 132, 128, 124, 26639, 2385, 5034, 172, 1170, 14045, 1125, 11597, 186, 15260, 2194, 2461, 186, 15411, 1136, 2036, 15243, 5160, 1170, 15722, 1110, 3356, 1304, 9555, 2504, 8275, 1105, 21141, 1594, 11051, 1105, 2750, 1408, 1125, 488, 125, 123, 4826, 1125, 3254, 3683, 4885, 15411, 10103, 2435, 5225, 1134, 172, 1189, 1426, 1208, 4613, 1124, 14989, 28699, 244, 1323, 1318, 15171, 27462, 30359, 1323, 1357, 10485, 172, 1170, 16021, 13076, 3567, 2086, 6640, 9290, 1370, 30445, 1285, 1215, 18852, 1362, 4914, 4316, 119, 23956, 1265, 1396, 1657, 1653, 22107, 1317, 15953, 1244, 4819, 1215, 1158, 18908, 1158, 5552, 1426, 1208, 4613, 1124, 14989, 31764, 1170, 1874, 1125, 15411, 10103, 1313, 1170, 24374, 4010, 1227, 1321, 180, 192, 8157, 1953, 192, 2167, 16349, 26352, 106, 106, 2606, 2423, 1281, 8866, 4313, 488, 127, 2165, 1408, 14429, 13625, 147, 3567, 186, 2385, 5034, 172, 1594, 7271, 6005, 29139, 119, 3728, 1208, 4540, 9851, 24912, 6640, 16401, 1370, 2445, 1158, 2195, 4970, 4816, 119, 1170, 5455, 186, 1167, 1158, 5703, 176, 1553, 1167, 1281, 5428, 1370, 2445, 1823, 2519, 7027, 1167, 2335, 9261, 1408, 10100, 4974, 1768, 5334, 1178, 5639, 1125, 488, 127, 4898, 1125, 9524, 1175, 126, 4898, 1167, 488, 127, 128, 4826, 116, 1256, 7686, 4202, 16577, 6095, 244, 1215, 3598, 1188, 1594, 6018, 18754, 3693, 8670, 2504, 1288, 10633, 11826, 1170, 3254, 6093, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 145, 22137, 1293, 2451, 1214, 106, 149, 180, 192, 8157, 1953, 192, 2167, 16349, 1354, 106, 2700, 173, 1128, 6772, 106, 106, 28870, 5825, 106, 9555, 2504, 1293, 2451, 2620, 1170, 5623, 26820, 1227, 1321, 180, 192, 8740, 1953, 192, 23464, 1354, 106, 106, 155, 1154, 4290, 1199, 2167, 16349, 1354, 1125, 1225, 180, 192, 8740, 1953, 192, 2167, 16349, 1354, 14043, 1793, 1362, 16401, 1199, 1304, 8752, 1557, 1117, 1541, 1266, 3400, 1188, 5371, 2035, 1266, 3400, 1186, 2822, 488, 124, 132, 124, 126, 6064, 1467, 1186, 2749, 488, 125, 123, 123, 132, 6064, 1467, 1188, 488, 132, 128, 2165, 114, 32001, 488, 106, 32000, 20036, 106, 9555, 2504, 1293, 2451, 1214, 1175, 124, 132, 124, 126, 120, 125, 123, 123, 132, 116, 1239, 1704, 1161, 1135, 3218, 1201, 1161, 9048, 2451, 1214, 1321, 180, 192, 8157, 1953, 192, 2546, 1959, 5388, 1296, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 1329, 1233, 149, 21211, 25058, 3026, 1161, 3810, 1290, 30159, 8670, 2504, 8482, 1427, 6048, 1446, 1135, 5724, 1972, 1161, 5455, 1387, 172, 1204, 1953, 5173, 186, 6353, 25639, 1163, 8394, 1201, 1161, 13830, 25028, 15776, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 1163, 30241, 1147, 1352, 1366, 1198, 28209, 1131, 4431, 4064, 22254, 1610, 1161, 18953, 1149, 21928, 1171, 20221, 15642, 121, 2133, 1239, 10673, 8261, 1110, 9702, 1161, 1135, 22158, 1171, 1704, 1161, 1135, 5756, 10617, 2067, 11215, 1161, 6279, 197, 11127, 106, 106, 3780, 1463, 9463, 6597, 5371, 191, 19738, 1361, 3318, 1161, 1135, 9574, 1147, 488, 124, 132, 132, 130, 121, 2133, 1239, 1135, 11432, 1161, 2717, 13782, 8394, 1201, 2536, 1296, 25121, 2443, 1293, 2451, 2620, 6123, 2495, 1293, 2451, 2620, 6123, 1159, 1293, 2451, 2620, 1171, 1405, 9983, 25100, 1248, 1121, 1231, 1293, 2451, 4654, 106, 106, 1598, 30959, 8394, 1147, 5517, 5868, 2320, 1147, 488, 124, 132, 128, 128, 2910, 8670, 2504, 1293, 2451, 1214, 1175, 129, 127, 14829, 116, 1171, 1765, 6459, 6924, 3728, 1208, 4540, 9851, 4436, 1175, 132, 128, 14829, 1576, 8670, 2504, 8720, 1135, 3904, 2470, 1110, 488, 126, 30676, 1171, 488, 127, 128, 21197, 2732, 8394, 1175, 125, 125, 128, 4826, 1576, 106, 106, 1428, 15146, 8670, 2504, 1293, 2451, 1214, 21302, 9360, 1110, 5861, 2729, 191, 1171, 488, 129, 20563, 1161, 9702, 196, 1147, 11597, 2181, 2133, 1239, 1959, 1704, 1161, 1135, 4013, 8394, 1201, 1324, 1110, 4366, 2729, 191, 1147, 25050, 2323, 1321, 180, 192, 8157, 1953, 4353, 1161, 1758, 1386, 1239, 1110, 25100, 121, 2133, 1171, 1765, 18021, 5868, 2060, 1171, 8482, 1427, 16375, 1321, 180, 192, 8157, 1953, 192, 1175, 2783, 2582, 1135, 10662, 1161, 1135, 1293, 2451, 1429, 1239, 7251, 1128, 4496, 1296, 1543, 1135, 6048, 1161, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 2025, 4656, 4143, 1147, 16375, 1321, 180, 192, 8157, 1953, 192, 1171, 11597, 186, 1576, 5375, 2197, 1557, 10090, 5814, 1285, 16375, 1171, 25050, 2323, 1321, 180, 192, 8157, 1953, 4353, 16931, 2928, 1170, 14079, 1171, 3620, 1149, 1163, 10119, 1230, 1226, 18068, 1147, 3961, 1171, 1290, 1861, 2910, 22254, 1610, 1161, 6750, 19601, 121, 2192, 1463, 1110, 7235, 4125, 1163, 6788, 1226, 1597, 23230, 7857, 1314, 4075, 2874, 1580, 1175, 1104, 6814, 1147, 6279, 197, 6152, 1147, 1352, 1366, 1198, 28209, 1323, 7826, 9336, 1576, 106, 106, 2103, 2364, 1261, 1765, 14263, 8670, 2504, 1293, 2451, 1214, 1463, 4554, 1163, 5071, 2717, 1131, 4431, 4064, 22254, 1610, 3120, 11054, 1171, 4559, 15195, 1792, 10100, 2241, 12409, 8394, 1285, 9157, 1583, 5876, 2667, 133, 106, 106, 1598, 1940, 1463, 1147, 488, 124, 132, 128, 124, 2043, 1386, 23359, 11597, 186, 14045, 15260, 2194, 2461, 186, 15411, 1136, 2036, 15243, 5160, 8670, 2504, 1361, 15073, 3343, 21453, 1181, 6828, 1147, 1135, 1163, 23581, 2470, 2060, 488, 125, 123, 4826, 1161, 8394, 2064, 2043, 15411, 10103, 12097, 1151, 1147, 1263, 1427, 1426, 1208, 4613, 1124, 14989, 1323, 1110, 2389, 1107, 9986, 1323, 1302, 25373, 8670, 2504, 1361, 1400, 5862, 2000, 3517, 9290, 2754, 1656, 1161, 7444, 1329, 1674, 10645, 1163, 4641, 16397, 1459, 1111, 4005, 1163, 1135, 5071, 16781, 1135, 1426, 1208, 4613, 1124, 14989, 5369, 2098, 6470, 1280, 9463, 15411, 10103, 1147, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 24374, 1203, 1626, 121, 106, 106, 1598, 2423, 5868, 2320, 488, 127, 3162, 18775, 2043, 8670, 2504, 23359, 1765, 6459, 3263, 2863, 3310, 3728, 1208, 4540, 9851, 24912, 2000, 1959, 4775, 18719, 2195, 4970, 4816, 119, 5455, 2086, 1171, 5703, 1149, 1553, 1171, 1463, 1959, 1111, 9458, 1171, 1792, 6517, 5032, 10100, 2241, 1988, 5868, 10573, 488, 127, 7456, 1161, 20221, 1175, 126, 7456, 1171, 488, 127, 128, 4826, 116, 1226, 8670, 2504, 1163, 1280, 4397, 1279, 3004, 13201, 10688, 1163, 1765, 23092, 22254, 3310, 23966, 2667, 1163, 1280, 19404, 1163, 4216, 1135, 8394, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 9555, 2504, 1293, 2451, 1214, 1175, 124, 132, 124, 126, 120, 125, 123, 123, 132, 116, 1239, 1704, 1161, 1135, 3218, 1201, 1161, 9048, 2451, 1214, 1321, 180, 192, 8157, 1953, 192, 2546, 1959, 5388, 1296, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 1329, 1233, 149, 21211, 25058, 3026, 1161, 3810, 1290, 30159, 8670, 2504, 8482, 1427, 6048, 1446, 1135, 5724, 1972, 1161, 5455, 1387, 172, 1204, 1953, 5173, 186, 6353, 25639, 1163, 8394, 1201, 1161, 13830, 25028, 15776, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 1163, 30241, 1147, 1352, 1366, 1198, 28209, 1131, 4431, 4064, 22254, 1610, 1161, 18953, 1149, 21928, 1171, 20221, 15642, 121, 2133, 1239, 10673, 8261, 1110, 9702, 1161, 1135, 22158, 1171, 1704, 1161, 1135, 5756, 10617, 2067, 11215, 1161, 6279, 197, 11127, 106, 106, 3780, 1463, 9463, 6597, 5371, 191, 19738, 1361, 3318, 1161, 1135, 9574, 1147, 488, 124, 132, 132, 130, 121, 2133, 1239, 1135, 11432, 1161, 2717, 13782, 8394, 1201, 2536, 1296, 25121, 2443, 1293, 2451, 2620, 6123, 2495, 1293, 2451, 2620, 6123, 1159, 1293, 2451, 2620, 1171, 1405, 9983, 25100, 1248, 1121, 1231, 1293, 2451, 4654, 106, 106, 1598, 30959, 8394, 1147, 5517, 5868, 2320, 1147, 488, 124, 132, 128, 128, 2910, 8670, 2504, 1293, 2451, 1214, 1175, 129, 127, 14829, 116, 1171, 1765, 6459, 6924, 3728, 1208, 4540, 9851, 4436, 1175, 132, 128, 14829, 1576, 8670, 2504, 8720, 1135, 3904, 2470, 1110, 488, 126, 30676, 1171, 488, 127, 128, 21197, 2732, 8394, 1175, 125, 125, 128, 4826, 1576, 106, 106, 1428, 15146, 8670, 2504, 1293, 2451, 1214, 21302, 9360, 1110, 5861, 2729, 191, 1171, 488, 129, 20563, 1161, 9702, 196, 1147, 11597, 2181, 2133, 1239, 1959, 1704, 1161, 1135, 4013, 8394, 1201, 1324, 1110, 4366, 2729, 191, 1147, 25050, 2323, 1321, 180, 192, 8157, 1953, 4353, 1161, 1758, 1386, 1239, 1110, 25100, 121, 2133, 1171, 1765, 18021, 5868, 2060, 1171, 8482, 1427, 16375, 1321, 180, 192, 8157, 1953, 192, 1175, 2783, 2582, 1135, 10662, 1161, 1135, 1293, 2451, 1429, 1239, 7251, 1128, 4496, 1296, 1543, 1135, 6048, 1161, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 2025, 4656, 4143, 1147, 16375, 1321, 180, 192, 8157, 1953, 192, 1171, 11597, 186, 1576, 5375, 2197, 1557, 10090, 5814, 1285, 16375, 1171, 25050, 2323, 1321, 180, 192, 8157, 1953, 4353, 16931, 2928, 1170, 14079, 1171, 3620, 1149, 1163, 10119, 1230, 1226, 18068, 1147, 3961, 1171, 1290, 1861, 2910, 22254, 1610, 1161, 6750, 19601, 121, 2192, 1463, 1110, 7235, 4125, 1163, 6788, 1226, 1597, 23230, 7857, 1314, 4075, 2874, 1580, 1175, 1104, 6814, 1147, 6279, 197, 6152, 1147, 1352, 1366, 1198, 28209, 1323, 7826, 9336, 1576, 106, 106, 2103, 2364, 1261, 1765, 14263, 8670, 2504, 1293, 2451, 1214, 1463, 4554, 1163, 5071, 2717, 1131, 4431, 4064, 22254, 1610, 3120, 11054, 1171, 4559, 15195, 1792, 10100, 2241, 12409, 8394, 1285, 9157, 1583, 5876, 2667, 133, 106, 106, 1598, 1940, 1463, 1147, 488, 124, 132, 128, 124, 2043, 1386, 23359, 11597, 186, 14045, 15260, 2194, 2461, 186, 15411, 1136, 2036, 15243, 5160, 8670, 2504, 1361, 15073, 3343, 21453, 1181, 6828, 1147, 1135, 1163, 23581, 2470, 2060, 488, 125, 123, 4826, 1161, 8394, 2064, 2043, 15411, 10103, 12097, 1151, 1147, 1263, 1427, 1426, 1208, 4613, 1124, 14989, 1323, 1110, 2389, 1107, 9986, 1323, 1302, 25373, 8670, 2504, 1361, 1400, 5862, 2000, 3517, 9290, 2754, 1656, 1161, 7444, 1329, 1674, 10645, 1163, 4641, 16397, 1459, 1111, 4005, 1163, 1135, 5071, 16781, 1135, 1426, 1208, 4613, 1124, 14989, 5369, 2098, 6470, 1280, 9463, 15411, 10103, 1147, 25050, 2323, 1321, 180, 192, 8157, 1953, 192, 24374, 1203, 1626, 121, 106, 106, 1598, 2423, 5868, 2320, 488, 127, 3162, 18775, 2043, 8670, 2504, 23359, 1765, 6459, 3263, 2863, 3310, 3728, 1208, 4540, 9851, 24912, 2000, 1959, 4775, 18719, 2195, 4970, 4816, 119, 5455, 2086, 1171, 5703, 1149, 1553, 1171, 1463, 1959, 1111, 9458, 1171, 1792, 6517, 5032, 10100, 2241, 1988, 5868, 10573, 488, 127, 7456, 1161, 20221, 1175, 126, 7456, 1171, 488, 127, 128, 4826, 116, 1226, 8670, 2504, 1163, 1280, 4397, 1279, 3004, 13201, 10688, 1163, 1765, 23092, 22254, 3310, 23966, 2667, 1163, 1280, 19404, 1163, 4216, 1135, 8394, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 6880, 11756, 11883, 1125, 1204, 1706, 183, 1519, 1299, 1318, 16402, 1522, 173, 11883, 3848, 1740, 1993, 1314, 1188, 1204, 1706, 183, 1519, 119, 1313, 1170, 9378, 1125, 10217, 1112, 1167, 1170, 28565, 7551, 1125, 2168, 11968, 1457, 106, 106, 30609, 488, 106, 198, 106, 488, 10802, 8397, 26624, 11591, 1523, 106, 488, 1235, 3849, 3972, 1604, 1509, 106, 488, 488, 488, 1316, 106, 488, 488, 488, 488, 488, 10802, 8397, 26624, 1523, 106, 488, 488, 488, 488, 488, 17586, 4752, 1604, 1316, 106, 488, 488, 488, 488, 488, 488, 488, 1235, 5955, 1107, 21924, 1604, 12124, 1319, 123, 123, 1319, 1523, 106, 488, 488, 488, 488, 488, 488, 488, 1235, 5955, 1107, 17925, 1604, 8792, 1156, 3282, 1523, 106, 488, 488, 488, 488, 488, 488, 488, 1235, 5955, 1107, 2059, 12888, 1604, 14945, 3215, 2662, 9037, 18465, 109, 106, 488, 488, 488, 488, 488, 6518, 106, 488, 488, 488, 488, 488, 1235, 31415, 1604, 1316, 106, 488, 488, 488, 488, 488, 488, 488, 10802, 6824, 1697, 1523, 106, 488, 488, 488, 488, 488, 488, 488, 5145, 186, 31739, 1604, 1509, 106, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 129, 121, 128, 132, 127, 123, 123, 124, 119, 106, 488, 488, 488, 488, 488, 488, 488, 488, 488, 488, 127, 132, 121, 127, 132, 127, 123, 128, 128, 106, 488, 488, 488, 488, 488, 488, 488, 7370, 106, 488, 488, 488, 488, 488, 1394, 106, 488, 488, 488, 1394, 106, 488, 7370, 106, 200, 106, 216, 1158, 1622, 1227, 22794, 176, 19565, 20890, 10775, 1153, 15458, 1170, 1691, 1573, 1450, 4415, 3281, 14034, 1167, 13894, 20190, 1167, 1170, 2320, 2290, 1158, 16412, 3848, 1740, 1993, 4994, 106, 106, 15759, 488, 130, 128, 130, 1167, 488, 130, 129, 131, 119, 1200, 1199, 6388, 119, 12907, 1189, 2676, 1461, 1126, 1125, 20890, 10775, 1153, 1167, 4327, 1640, 1197, 1325, 1176, 1105, 17942, 5909, 16389, 1227, 1691, 1573, 17966, 11567, 8770, 2079, 488, 130, 131, 125, 119, 1170, 10973, 3984, 5186, 2818, 28768, 1567, 1207, 19438, 6908, 1125, 1909, 1962, 1285, 3747, 13833, 1125, 1266, 16784, 1300, 1282, 11756, 11883, 1125, 1204, 1706, 183, 1519, 121, 1808, 4274, 9091, 1541, 1734, 1172, 1149, 2624, 11102, 25926, 2040, 1200, 1752, 1369, 28768, 1567, 1207, 12880, 6994, 1125, 13833, 1125, 3621, 1172, 24438, 4170, 2874, 2312, 1125, 13833, 1125, 1266, 16784, 1300, 1170, 1691, 1573, 17966, 6982, 1158, 1622, 1125, 1158, 1106, 27401, 4094, 1734, 1172, 1149, 3556, 1282, 11756, 11883, 1125, 1204, 1706, 183, 1519, 7354, 3042, 1189, 1691, 1573, 1450, 5458, 1221, 1227, 28565, 7551, 121, 106, 106, 6880, 15047, 12997, 5909, 29450, 3817, 21804, 17215, 26590, 1190, 6388, 1125, 2168, 8953, 7988, 24858, 6668, 1197, 3848, 1740, 1993, 8160, 1768, 1186, 1844, 2072, 1189, 3601, 1125, 1113, 243, 2495, 1109, 5533, 106, 106, 161, 1201, 488, 132, 132, 123, 119, 1282, 11756, 244, 1200, 2504, 1319, 1109, 13826, 22938, 13894, 20190, 1256, 1251, 1982, 10436, 1107, 1207, 1116, 1274, 1312, 1227, 20840, 1125, 1282, 11756, 1242, 2596, 4060, 28896, 13216, 1307, 1105, 1366, 1188, 3871, 8943, 1125, 1158, 10538, 28808, 5519, 1757, 22536, 2330, 1301, 7615, 7030, 17874, 2290, 1170, 1874, 1125, 1158, 25208, 28621, 1299, 1170, 12685, 1170, 1408, 7271, 1125, 1158, 10217, 9770, 2576, 1740, 28567, 7808, 1167, 10721, 9408, 1125, 8691, 1485, 1125, 1158, 13894, 26509, 1313, 1207, 4092, 488, 124, 125, 125, 123, 12404, 1129, 1125, 30842, 1125, 1282, 11756, 11883, 1317, 17990, 24373, 17659, 106, 106, 1686, 488, 124, 127, 129, 131, 119, 1282, 11756, 11883, 29693, 1215, 1282, 11756, 244, 18065, 2066, 1125, 2324, 1289, 1120, 16773, 1158, 1191, 4818, 19311, 1125, 1233, 1392, 177, 1140, 1208, 1167, 1186, 4933, 6711, 7328, 1561, 9144, 2203, 1186, 488, 124, 131, 123, 125, 1317, 3013, 1125, 1158, 1114, 1416, 2344, 2651, 1125, 1158, 3734, 121, 106, 106, 17971, 11402, 31549, 19565, 1197, 16963, 1508, 7513, 1234, 1215, 1207, 11941, 1104, 3688, 186, 1485, 8702, 1518, 2360, 197, 26232, 4540, 1167, 18651, 1783, 8870, 21073, 3859, 173, 24542, 2181, 1643, 26735, 1125, 22938, 4249, 1382, 6035, 193, 1303, 2391, 1125, 1158, 9144, 2203, 1125, 1282, 11756, 1242, 2596, 106, 106, 3562, 23608, 19832, 1186, 6564, 1158, 3453, 6545, 1125, 27646, 1186, 488, 124, 130, 132, 125, 119, 2367, 1622, 1571, 5736, 1691, 1183, 29558, 2576, 11756, 11883, 1299, 11051, 12115, 1186, 488, 124, 130, 132, 126, 1167, 488, 124, 130, 132, 127, 121, 1808, 16963, 1508, 31264, 1188, 1548, 1267, 1462, 1210, 1245, 1176, 1659, 1189, 20581, 1227, 11002, 1188, 2168, 11968, 1457, 3699, 25428, 4668, 1210, 1207, 1501, 1210, 4326, 1186, 488, 124, 131, 123, 132, 2205, 15927, 1522, 249, 184, 1234, 1167, 1207, 4104, 1532, 121, 14782, 2004, 1318, 9781, 6076, 15937, 1548, 12685, 1522, 2845, 10125, 1170, 9209, 1125, 1352, 3579, 1487, 1673, 4668, 1210, 121, 1548, 1859, 1207, 16963, 1508, 11912, 1160, 29331, 1193, 1234, 1215, 1189, 3000, 1274, 4654, 106, 106, 7244, 1125, 1158, 14976, 488, 106, 106, 224, 175, 28567, 22816, 1313, 1158, 10217, 1112, 106, 140, 4223, 11883, 3848, 1740, 1993, 1314, 1186, 17490, 106, 140, 4223, 11883, 16512, 1317, 22794, 176, 6298, 106, 140, 4223, 11883, 2627, 2949, 1363, 1303, 32001, 488, 106, 32000, 20036, 106, 1598, 1204, 1706, 183, 1519, 3991, 1897, 196, 1239, 1151, 18534, 6507, 1156, 1993, 1314, 1522, 1897, 196, 1147, 1204, 1706, 183, 1519, 119, 1147, 1135, 2730, 1161, 6280, 1124, 2621, 1171, 1135, 6660, 1237, 1983, 1161, 8009, 1657, 106, 106, 24436, 106, 5395, 1135, 2283, 1161, 1135, 488, 130, 1276, 31046, 20890, 10775, 1153, 20883, 1135, 4415, 1691, 3312, 196, 1161, 3281, 10948, 1171, 3281, 10016, 1171, 12627, 1341, 2670, 1135, 6507, 1156, 1993, 1314, 8238, 121, 106, 106, 141, 24124, 488, 130, 128, 130, 1171, 488, 130, 129, 131, 119, 1200, 1199, 6388, 119, 7850, 1110, 2676, 1461, 1126, 1161, 20890, 10775, 1153, 1171, 23814, 1121, 1161, 1135, 1325, 1176, 1105, 17942, 5868, 16389, 1161, 1135, 1691, 3312, 2305, 1951, 173, 4835, 3575, 488, 130, 131, 125, 119, 7472, 3984, 5186, 2818, 30075, 1135, 14476, 1161, 1765, 1594, 1285, 3813, 13833, 1125, 1266, 16784, 1238, 1135, 1522, 1897, 196, 1161, 1204, 1706, 183, 1519, 121, 1410, 7377, 1161, 1135, 10325, 1149, 2323, 1498, 1972, 7500, 134, 1200, 1752, 1369, 30075, 1135, 14476, 1161, 13833, 1125, 3621, 1731, 1845, 119, 2511, 2443, 1161, 13833, 1125, 1266, 16784, 1238, 1135, 1691, 3312, 2305, 6226, 1135, 2283, 1161, 1135, 10325, 1149, 2323, 1106, 27401, 15106, 1135, 1522, 1897, 196, 1161, 1204, 1706, 183, 1519, 7905, 1151, 14721, 1691, 3312, 196, 1161, 1135, 28565, 1983, 121, 106, 106, 1598, 5822, 16646, 15200, 2043, 1233, 21681, 26590, 1190, 6388, 1161, 1198, 2408, 16571, 1135, 20032, 196, 1161, 1135, 6507, 1156, 1993, 12288, 2133, 1959, 3062, 1341, 1110, 2320, 1161, 6570, 178, 2965, 5533, 106, 106, 2233, 1615, 488, 132, 132, 123, 119, 3991, 16081, 1200, 2504, 1319, 1109, 7406, 1135, 3281, 10016, 11849, 1163, 5360, 1135, 1296, 13422, 1161, 1135, 1522, 1897, 15186, 25100, 121, 2192, 13216, 11596, 1132, 11849, 119, 17818, 1449, 1135, 1192, 1519, 1108, 10255, 2718, 5663, 1171, 2692, 5388, 1296, 1135, 4006, 28486, 1659, 1239, 1135, 31511, 6540, 1147, 1135, 6280, 1124, 2621, 121, 1410, 12047, 1104, 1244, 6540, 1171, 1135, 19440, 1161, 1169, 1380, 190, 1161, 1135, 24031, 16073, 1147, 1135, 488, 124, 125, 125, 123, 190, 8362, 7454, 1163, 1135, 11677, 1161, 1135, 1522, 1897, 196, 1147, 1135, 16406, 4115, 1457, 106, 106, 1428, 488, 124, 127, 129, 131, 119, 1135, 1522, 1897, 196, 7947, 1449, 3991, 16081, 18065, 2066, 1125, 2324, 1289, 1120, 14010, 1135, 1233, 1392, 177, 1140, 1208, 7668, 2416, 1162, 1171, 20642, 1110, 6644, 4945, 2019, 9144, 2203, 1147, 488, 124, 131, 123, 125, 3545, 1135, 1710, 2344, 3520, 1161, 1135, 6054, 121, 106, 106, 1428, 1135, 488, 124, 131, 1276, 31046, 20646, 2025, 2543, 7770, 1449, 1135, 4173, 6098, 11941, 190, 8702, 1518, 2360, 197, 26232, 4540, 1171, 18651, 1783, 8870, 21073, 3859, 173, 24542, 2181, 1410, 26735, 1161, 1135, 11849, 1463, 1375, 12142, 1355, 1135, 1907, 1161, 1135, 1522, 1897, 15186, 9144, 2203, 121, 106, 106, 1598, 9197, 26799, 119, 10115, 1135, 1940, 27646, 6928, 1147, 488, 124, 130, 132, 125, 119, 15200, 1135, 1691, 3312, 15186, 2625, 10585, 1410, 1522, 1897, 196, 1463, 11051, 19780, 1147, 488, 124, 130, 132, 126, 1171, 488, 124, 130, 132, 127, 121, 1410, 20646, 2025, 8420, 1163, 1548, 1267, 1462, 1210, 1245, 1176, 1659, 1110, 8828, 17497, 1267, 1147, 8009, 1657, 3699, 25428, 4668, 1210, 15995, 2182, 1147, 488, 124, 131, 123, 132, 119, 27919, 7344, 1193, 2754, 1171, 2762, 30756, 8148, 7191, 2025, 2629, 1226, 17497, 11668, 1457, 1410, 6540, 2692, 21642, 1135, 3228, 27328, 1201, 1161, 1352, 3579, 1487, 1673, 4668, 1210, 121, 2502, 1859, 1135, 20646, 2025, 4440, 2157, 7344, 5757, 1449, 1110, 7729, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 1204, 1706, 183, 1519, 3991, 1897, 196, 1239, 1151, 18534, 6507, 1156, 1993, 1314, 1522, 1897, 196, 1147, 1204, 1706, 183, 1519, 119, 1147, 1135, 2730, 1161, 6280, 1124, 2621, 1171, 1135, 6660, 1237, 1983, 1161, 8009, 1657, 106, 106, 24436, 106, 5395, 1135, 2283, 1161, 1135, 488, 130, 1276, 31046, 20890, 10775, 1153, 20883, 1135, 4415, 1691, 3312, 196, 1161, 3281, 10948, 1171, 3281, 10016, 1171, 12627, 1341, 2670, 1135, 6507, 1156, 1993, 1314, 8238, 121, 106, 106, 141, 24124, 488, 130, 128, 130, 1171, 488, 130, 129, 131, 119, 1200, 1199, 6388, 119, 7850, 1110, 2676, 1461, 1126, 1161, 20890, 10775, 1153, 1171, 23814, 1121, 1161, 1135, 1325, 1176, 1105, 17942, 5868, 16389, 1161, 1135, 1691, 3312, 2305, 1951, 173, 4835, 3575, 488, 130, 131, 125, 119, 7472, 3984, 5186, 2818, 30075, 1135, 14476, 1161, 1765, 1594, 1285, 3813, 13833, 1125, 1266, 16784, 1238, 1135, 1522, 1897, 196, 1161, 1204, 1706, 183, 1519, 121, 1410, 7377, 1161, 1135, 10325, 1149, 2323, 1498, 1972, 7500, 134, 1200, 1752, 1369, 30075, 1135, 14476, 1161, 13833, 1125, 3621, 1731, 1845, 119, 2511, 2443, 1161, 13833, 1125, 1266, 16784, 1238, 1135, 1691, 3312, 2305, 6226, 1135, 2283, 1161, 1135, 10325, 1149, 2323, 1106, 27401, 15106, 1135, 1522, 1897, 196, 1161, 1204, 1706, 183, 1519, 7905, 1151, 14721, 1691, 3312, 196, 1161, 1135, 28565, 1983, 121, 106, 106, 1598, 5822, 16646, 15200, 2043, 1233, 21681, 26590, 1190, 6388, 1161, 1198, 2408, 16571, 1135, 20032, 196, 1161, 1135, 6507, 1156, 1993, 12288, 2133, 1959, 3062, 1341, 1110, 2320, 1161, 6570, 178, 2965, 5533, 106, 106, 2233, 1615, 488, 132, 132, 123, 119, 3991, 16081, 1200, 2504, 1319, 1109, 7406, 1135, 3281, 10016, 11849, 1163, 5360, 1135, 1296, 13422, 1161, 1135, 1522, 1897, 15186, 25100, 121, 2192, 13216, 11596, 1132, 11849, 119, 17818, 1449, 1135, 1192, 1519, 1108, 10255, 2718, 5663, 1171, 2692, 5388, 1296, 1135, 4006, 28486, 1659, 1239, 1135, 31511, 6540, 1147, 1135, 6280, 1124, 2621, 121, 1410, 12047, 1104, 1244, 6540, 1171, 1135, 19440, 1161, 1169, 1380, 190, 1161, 1135, 24031, 16073, 1147, 1135, 488, 124, 125, 125, 123, 190, 8362, 7454, 1163, 1135, 11677, 1161, 1135, 1522, 1897, 196, 1147, 1135, 16406, 4115, 1457, 106, 106, 1428, 488, 124, 127, 129, 131, 119, 1135, 1522, 1897, 196, 7947, 1449, 3991, 16081, 18065, 2066, 1125, 2324, 1289, 1120, 14010, 1135, 1233, 1392, 177, 1140, 1208, 7668, 2416, 1162, 1171, 20642, 1110, 6644, 4945, 2019, 9144, 2203, 1147, 488, 124, 131, 123, 125, 3545, 1135, 1710, 2344, 3520, 1161, 1135, 6054, 121, 106, 106, 1428, 1135, 488, 124, 131, 1276, 31046, 20646, 2025, 2543, 7770, 1449, 1135, 4173, 6098, 11941, 190, 8702, 1518, 2360, 197, 26232, 4540, 1171, 18651, 1783, 8870, 21073, 3859, 173, 24542, 2181, 1410, 26735, 1161, 1135, 11849, 1463, 1375, 12142, 1355, 1135, 1907, 1161, 1135, 1522, 1897, 15186, 9144, 2203, 121, 106, 106, 1598, 9197, 26799, 119, 10115, 1135, 1940, 27646, 6928, 1147, 488, 124, 130, 132, 125, 119, 15200, 1135, 1691, 3312, 15186, 2625, 10585, 1410, 1522, 1897, 196, 1463, 11051, 19780, 1147, 488, 124, 130, 132, 126, 1171, 488, 124, 130, 132, 127, 121, 1410, 20646, 2025, 8420, 1163, 1548, 1267, 1462, 1210, 1245, 1176, 1659, 1110, 8828, 17497, 1267, 1147, 8009, 1657, 3699, 25428, 4668, 1210, 15995, 2182, 1147, 488, 124, 131, 123, 132, 119, 27919, 7344, 1193, 2754, 1171, 2762, 30756, 8148, 7191, 2025, 2629, 1226, 17497, 11668, 1457, 1410, 6540, 2692, 21642, 1135, 3228, 27328, 1201, 1161, 1352, 3579, 1487, 1673, 4668, 1210, 121, 2502, 1859, 1135, 20646, 2025, 4440, 2157, 7344, 5757, 1449, 1110, 7729, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 143, 16298, 5535, 24525, 9204, 6480, 9491, 8543, 1238, 6324, 488, 125, 132, 119, 488, 124, 132, 127, 130, 1147, 1254, 8699, 1171, 12743, 1238, 7871, 488, 125, 131, 119, 488, 124, 132, 131, 128, 1147, 8354, 2064, 5763, 182, 2393, 6785, 1463, 1135, 3075, 28117, 1161, 1135, 6938, 7804, 6806, 1405, 1164, 2194, 2133, 1769, 1446, 488, 124, 132, 129, 132, 1163, 488, 124, 132, 130, 129, 121, 106, 106, 141, 180, 11114, 106, 106, 147, 1120, 1940, 8801, 1226, 1242, 2127, 4501, 1463, 1324, 1110, 21723, 6777, 6806, 4494, 1410, 1753, 2858, 2996, 1988, 1463, 1970, 1302, 1386, 2367, 17913, 1267, 1204, 2057, 14967, 121, 5535, 2548, 1171, 14967, 4241, 4957, 2632, 1171, 3390, 1156, 1806, 1163, 1830, 3621, 8117, 1758, 1959, 7869, 5612, 2482, 2333, 1238, 10844, 1171, 7132, 1238, 4242, 1255, 1297, 3842, 1710, 6688, 1110, 21104, 6013, 1324, 4909, 1922, 16179, 1226, 1135, 3237, 1328, 5106, 14303, 1410, 10397, 1637, 1459, 12270, 121, 106, 106, 3857, 2548, 20642, 1135, 28117, 1161, 3621, 1443, 1446, 488, 124, 132, 129, 130, 1163, 488, 124, 132, 129, 132, 121, 3842, 2491, 19544, 1156, 31022, 13934, 1306, 1462, 4279, 1171, 6135, 5772, 1135, 6806, 1405, 1164, 2194, 2133, 1769, 121, 1410, 6806, 1361, 9932, 5868, 28945, 1940, 1147, 7927, 1762, 2491, 1147, 12689, 1171, 1135, 4909, 26550, 1459, 488, 124, 132, 130, 124, 119, 6480, 1959, 14595, 1238, 2197, 23371, 1449, 4172, 4847, 1150, 1156, 1657, 106, 106, 3780, 7905, 1135, 3075, 28117, 1161, 1135, 6938, 7804, 6806, 1405, 1164, 2194, 2133, 1769, 1446, 488, 124, 132, 129, 132, 1163, 488, 124, 132, 130, 129, 121, 6480, 5535, 2548, 9701, 1238, 5052, 23371, 1324, 1135, 6806, 121, 106, 106, 143, 6129, 2484, 4593, 8937, 6480, 5535, 2548, 26227, 1110, 27238, 1324, 1765, 3025, 2376, 3237, 1149, 1171, 22093, 1429, 1296, 1704, 1161, 1135, 3284, 7804, 3237, 1201, 1147, 1135, 12556, 106, 106, 1428, 488, 124, 132, 130, 128, 119, 5535, 2548, 9578, 1765, 1940, 17622, 26676, 17617, 3550, 2769, 2673, 2563, 21758, 1204, 2057, 14967, 119, 13934, 1306, 1462, 15151, 1171, 15156, 1518, 1201, 183, 2187, 121, 106, 106, 3780, 1463, 26832, 1156, 1446, 1405, 1164, 2194, 2133, 1769, 1355, 1135, 2283, 1161, 1110, 3543, 1147, 27240, 1147, 488, 124, 132, 130, 129, 121, 13934, 1306, 1462, 4279, 16787, 1355, 1135, 1907, 133, 7419, 16298, 1463, 1704, 1161, 3108, 2000, 2592, 1375, 1116, 2249, 1324, 4611, 3763, 8741, 1171, 23126, 10333, 1147, 1110, 30102, 2758, 1405, 1164, 2194, 2133, 1769, 11479, 16839, 1857, 30743, 2346, 1386, 1463, 29181, 1147, 1135, 9257, 1182, 4522, 1161, 1135, 2957, 2546, 1296, 1110, 20573, 28117, 2055, 4656, 2023, 14923, 5108, 30743, 17962, 1302, 5535, 2548, 1171, 1135, 2017, 5641, 2055, 2023, 1355, 13758, 190, 1226, 1957, 1907, 1238, 20781, 6850, 1161, 1135, 6806, 1361, 12809, 1297, 106, 106, 1428, 488, 124, 132, 131, 124, 119, 1204, 2057, 14967, 1171, 11539, 193, 1121, 1233, 4941, 1446, 1405, 1164, 2194, 2133, 1769, 22130, 5535, 2548, 1163, 6250, 1135, 1624, 6806, 119, 1663, 5535, 2548, 7620, 1109, 3078, 106, 106, 3780, 12743, 1446, 24878, 19720, 2784, 1973, 1285, 3813, 1771, 1263, 10832, 1171, 6181, 1399, 1484, 1762, 1355, 1765, 3489, 1147, 28346, 1238, 27973, 7871, 488, 125, 131, 119, 488, 124, 132, 131, 128, 121, 2133, 1463, 488, 126, 131, 3162, 1171, 488, 126, 123, 5150, 4006, 121, 7013, 6775, 1463, 21596, 1269, 8395, 1147, 1135, 4501, 5338, 121, 106, 106, 143, 6129, 1135, 11496, 2111, 3543, 1355, 1135, 1907, 1161, 5535, 2548, 1361, 6775, 119, 1405, 1164, 2194, 2133, 1769, 14874, 1410, 1325, 27184, 1163, 12855, 106, 106, 22525, 11114, 106, 106, 158, 14201, 106, 124, 132, 130, 128, 133, 17617, 3550, 2769, 2673, 1201, 106, 124, 132, 130, 131, 133, 28877, 11704, 1156, 1518, 3579, 106, 106, 23733, 2194, 2133, 1769, 106, 106, 158, 3898, 186, 26507, 190, 106, 124, 132, 130, 123, 133, 28149, 31681, 25841, 1553, 28149, 1330, 160, 2725, 106, 124, 132, 130, 124, 133, 1173, 1790, 25287, 106, 124, 132, 130, 124, 133, 14660, 1355, 1671, 1627, 1372, 106, 124, 132, 130, 125, 133, 6411, 1376, 1171, 1325, 1493, 3656, 106, 124, 132, 130, 125, 133, 1410, 6453, 18351, 1361, 1233, 7963, 2375, 106, 124, 132, 130, 126, 133, 1173, 7415, 1252, 27089, 106, 124, 132, 130, 127, 133, 1325, 7093, 18955, 106, 124, 132, 130, 128, 133, 6980, 1163, 17943, 9552, 106, 124, 132, 130, 129, 133, 6815, 1171, 1204, 1580, 196, 106, 106, 151, 1647, 26507, 190, 106, 124, 132, 130, 126, 133, 1405, 1164, 2194, 2133, 1769, 13727, 106, 124, 132, 131, 129, 133, 13727, 1355, 3676, 1228, 1494, 1105, 1330, 130, 127, 106, 106, 21320, 1959, 106, 106, 23733, 2194, 2133, 1769, 106, 106, 26722, 14520, 106, 106, 23733, 2194, 2133, 1769, 4770, 11076, 27312, 106, 23733, 2194, 2133, 1769, 2315, 106, 1686, 16614, 7804, 28117, 106, 18406, 1161, 1405, 1164, 2194, 2133, 1769, 106, 141, 2589, 1147, 6324, 488, 124, 132, 127, 130, 106, 141, 2589, 1147, 1254, 1228, 2064, 9428, 22147, 106, 143, 2295, 1147, 7871, 488, 124, 132, 131, 128, 106, 143, 2295, 1147, 8354, 2064, 4909, 16983, 106, 1686, 16614, 4348, 7804, 28117, 106, 1686, 16614, 14259, 13650, 28117, 106, 143, 2295, 1355, 7227, 488, 126, 131, 32001, 488, 106, 32000, 20036, 106, 143, 16298, 5535, 24525, 1125, 1594, 8444, 1874, 6480, 9491, 1766, 5544, 5252, 1170, 488, 125, 132, 2749, 488, 124, 132, 127, 130, 1188, 1254, 8699, 1167, 4541, 1170, 488, 125, 131, 3141, 488, 124, 132, 131, 128, 1188, 28346, 1313, 1170, 5763, 182, 2393, 6785, 1299, 1170, 3151, 30688, 1227, 3274, 1125, 7804, 9400, 1405, 1164, 2194, 2133, 1769, 1125, 488, 124, 132, 129, 132, 1188, 488, 124, 132, 130, 129, 121, 106, 106, 141, 11741, 488, 106, 106, 158, 172, 3453, 3000, 25422, 1313, 1158, 7585, 6049, 1281, 1844, 1469, 1318, 11350, 21723, 6777, 119, 13348, 1410, 1753, 2858, 2996, 26655, 119, 1527, 6666, 1170, 17913, 2038, 1204, 2057, 14967, 121, 5535, 2548, 1167, 14967, 2368, 1129, 18331, 1906, 1167, 2368, 29931, 1129, 1256, 6459, 1170, 3621, 1443, 1357, 12262, 2445, 5612, 2482, 2333, 1188, 1158, 16565, 1167, 7132, 1188, 1158, 8671, 4654, 4651, 1666, 11646, 1189, 5234, 11697, 12144, 1469, 4909, 1922, 16179, 1256, 1207, 3237, 1328, 5106, 14303, 1410, 10397, 1637, 1459, 12270, 121, 106, 106, 5164, 4933, 1170, 30688, 1125, 3621, 1443, 1125, 488, 124, 132, 129, 130, 1188, 488, 124, 132, 129, 132, 121, 4651, 9948, 1178, 1129, 3042, 1170, 31891, 13934, 1306, 1462, 1126, 2305, 4651, 2180, 1129, 6231, 1170, 3274, 1405, 1164, 2194, 2133, 1769, 121, 1643, 9245, 1227, 3274, 1805, 1172, 1126, 25771, 14867, 1186, 14345, 11438, 1186, 1645, 19394, 1167, 1571, 17941, 5068, 1653, 488, 124, 132, 130, 124, 119, 6480, 16823, 2445, 1300, 2069, 23371, 1125, 4172, 4847, 1150, 1156, 1657, 106, 106, 5164, 7354, 1170, 3151, 30688, 1227, 3274, 1125, 7804, 9400, 1405, 1164, 2194, 2133, 1769, 1835, 488, 124, 132, 129, 132, 1167, 488, 124, 132, 130, 129, 121, 6480, 5535, 2548, 1251, 20926, 1300, 8826, 6030, 1297, 106, 106, 155, 2388, 2008, 4593, 5305, 6480, 5535, 2548, 10086, 21960, 1318, 29258, 1469, 1594, 14170, 1304, 18099, 1167, 1909, 22093, 1429, 1856, 6113, 1197, 8199, 20926, 1392, 1125, 7804, 1313, 1170, 15153, 106, 106, 1686, 488, 124, 132, 130, 128, 119, 5535, 2548, 5016, 1594, 3151, 6030, 2429, 2086, 17617, 3550, 2769, 2673, 2563, 1469, 1204, 2057, 14967, 119, 13934, 1306, 1462, 4279, 1167, 15156, 1518, 1201, 183, 2187, 121, 106, 106, 5164, 1299, 30834, 244, 1125, 1405, 1164, 2194, 2133, 1769, 1188, 1158, 1622, 2519, 23931, 1186, 21593, 1186, 488, 124, 132, 130, 129, 121, 13934, 1306, 1462, 4279, 21552, 1188, 1440, 3013, 12284, 133, 7419, 16298, 3031, 6113, 1125, 4142, 1357, 1288, 2830, 1382, 1982, 3691, 1317, 1844, 1309, 1207, 7298, 2004, 2680, 30720, 1167, 1527, 26865, 1370, 1170, 1338, 1636, 5030, 1313, 1318, 31987, 4095, 1548, 8328, 1304, 23733, 2194, 2133, 1769, 119, 16839, 1857, 30743, 2690, 3365, 1299, 4337, 244, 1313, 1170, 1235, 1232, 18496, 13315, 1227, 3274, 1523, 4716, 3839, 15363, 1189, 30688, 1125, 27535, 3041, 30743, 13192, 1309, 5535, 2548, 1167, 1207, 2905, 4634, 6096, 1186, 2627, 6024, 2757, 1189, 4093, 2658, 1300, 1197, 4502, 12320, 2137, 1125, 1158, 3657, 1227, 3274, 121, 106, 106, 1686, 488, 124, 132, 131, 124, 119, 1204, 2057, 14967, 1167, 11539, 193, 1121, 1233, 4941, 119, 1125, 1405, 1164, 2194, 2133, 1769, 119, 2463, 13250, 5535, 2548, 1188, 26983, 3914, 1317, 3631, 24223, 1723, 5535, 2548, 4106, 1314, 1158, 10813, 121, 106, 106, 5164, 19859, 1125, 2784, 6908, 12006, 1188, 1282, 21056, 119, 1251, 5749, 1125, 16309, 1166, 1955, 6068, 1167, 27462, 1399, 1484, 2620, 1188, 1594, 10081, 1125, 8354, 2064, 1170, 13922, 488, 125, 131, 3141, 488, 124, 132, 131, 128, 121, 1768, 1110, 488, 126, 131, 2165, 1167, 488, 126, 123, 21039, 6280, 4541, 1299, 1188, 10835, 7803, 1303, 1313, 1158, 8146, 4501, 5907, 106, 106, 15531, 1158, 23931, 11496, 14105, 1188, 21396, 1125, 1158, 4541, 1125, 5535, 24525, 1405, 1164, 2194, 2133, 1769, 2435, 1275, 175, 1214, 1410, 1325, 1493, 16639, 106, 106, 22525, 4134, 106, 106, 158, 14201, 488, 106, 124, 132, 130, 128, 1257, 17617, 3550, 2769, 2673, 1201, 106, 124, 132, 130, 131, 1257, 28877, 11704, 1156, 1518, 3579, 106, 106, 23733, 2194, 2133, 1769, 106, 106, 3681, 4354, 190, 13553, 488, 106, 106, 488, 124, 132, 130, 123, 1257, 28149, 1330, 176, 25841, 1553, 28149, 1330, 23181, 106, 488, 124, 132, 130, 124, 1257, 1173, 1790, 25287, 106, 488, 124, 132, 130, 124, 1257, 14660, 1355, 1671, 1627, 1372, 106, 488, 124, 132, 130, 125, 1257, 6411, 1376, 1171, 1325, 1493, 3656, 106, 488, 124, 132, 130, 125, 1257, 1410, 6453, 18351, 1361, 1233, 7963, 2375, 106, 488, 124, 132, 130, 126, 1257, 1173, 7415, 1252, 27089, 106, 488, 124, 132, 130, 127, 1257, 1325, 7093, 18955, 106, 488, 124, 132, 130, 128, 1257, 6980, 1163, 17943, 9552, 106, 488, 124, 132, 130, 129, 1257, 6815, 1171, 1204, 1580, 196, 106, 106, 3681, 4354, 190, 5368, 488, 106, 106, 488, 124, 132, 130, 126, 1257, 1405, 1164, 2194, 2133, 1769, 13727, 106, 488, 124, 132, 131, 129, 1257, 13727, 1355, 3676, 1228, 1494, 1105, 1330, 130, 127, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 1405, 1164, 2194, 2133, 1769, 106, 106, 28870, 5825, 488, 106, 106, 488, 7649, 9229, 1125, 1405, 1164, 2194, 2133, 1769, 106, 488, 1405, 1164, 2194, 2133, 1769, 2315, 106, 106, 2330, 1119, 1836, 9400, 1125, 7804, 106, 8857, 1829, 1125, 1405, 1164, 2194, 2133, 1769, 106, 153, 3400, 1186, 2749, 488, 124, 132, 127, 130, 106, 153, 3400, 1188, 1254, 8699, 7890, 190, 22147, 116, 106, 31133, 1467, 1186, 3141, 488, 124, 132, 131, 128, 106, 31133, 1467, 1188, 28346, 6700, 1487, 6630, 4917, 9630, 106, 2330, 1119, 1836, 1125, 4348, 7804, 106, 2330, 1119, 1836, 9400, 1125, 14259, 13650, 106, 31133, 1467, 1188, 488, 126, 131, 2165, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 143, 16298, 5535, 24525, 1125, 1594, 8444, 1874, 6480, 9491, 1766, 5544, 5252, 1170, 488, 125, 132, 2749, 488, 124, 132, 127, 130, 1188, 1254, 8699, 1167, 4541, 1170, 488, 125, 131, 3141, 488, 124, 132, 131, 128, 1188, 28346, 1313, 1170, 5763, 182, 2393, 6785, 1299, 1170, 3151, 30688, 1227, 3274, 1125, 7804, 9400, 1405, 1164, 2194, 2133, 1769, 1125, 488, 124, 132, 129, 132, 1188, 488, 124, 132, 130, 129, 121, 106, 106, 141, 11741, 488, 106, 106, 158, 172, 3453, 3000, 25422, 1313, 1158, 7585, 6049, 1281, 1844, 1469, 1318, 11350, 21723, 6777, 119, 13348, 1410, 1753, 2858, 2996, 26655, 119, 1527, 6666, 1170, 17913, 2038, 1204, 2057, 14967, 121, 5535, 2548, 1167, 14967, 2368, 1129, 18331, 1906, 1167, 2368, 29931, 1129, 1256, 6459, 1170, 3621, 1443, 1357, 12262, 2445, 5612, 2482, 2333, 1188, 1158, 16565, 1167, 7132, 1188, 1158, 8671, 4654, 4651, 1666, 11646, 1189, 5234, 11697, 12144, 1469, 4909, 1922, 16179, 1256, 1207, 3237, 1328, 5106, 14303, 1410, 10397, 1637, 1459, 12270, 121, 106, 106, 5164, 4933, 1170, 30688, 1125, 3621, 1443, 1125, 488, 124, 132, 129, 130, 1188, 488, 124, 132, 129, 132, 121, 4651, 9948, 1178, 1129, 3042, 1170, 31891, 13934, 1306, 1462, 1126, 2305, 4651, 2180, 1129, 6231, 1170, 3274, 1405, 1164, 2194, 2133, 1769, 121, 1643, 9245, 1227, 3274, 1805, 1172, 1126, 25771, 14867, 1186, 14345, 11438, 1186, 1645, 19394, 1167, 1571, 17941, 5068, 1653, 488, 124, 132, 130, 124, 119, 6480, 16823, 2445, 1300, 2069, 23371, 1125, 4172, 4847, 1150, 1156, 1657, 106, 106, 5164, 7354, 1170, 3151, 30688, 1227, 3274, 1125, 7804, 9400, 1405, 1164, 2194, 2133, 1769, 1835, 488, 124, 132, 129, 132, 1167, 488, 124, 132, 130, 129, 121, 6480, 5535, 2548, 1251, 20926, 1300, 8826, 6030, 1297, 106, 106, 155, 2388, 2008, 4593, 5305, 6480, 5535, 2548, 10086, 21960, 1318, 29258, 1469, 1594, 14170, 1304, 18099, 1167, 1909, 22093, 1429, 1856, 6113, 1197, 8199, 20926, 1392, 1125, 7804, 1313, 1170, 15153, 106, 106, 1686, 488, 124, 132, 130, 128, 119, 5535, 2548, 5016, 1594, 3151, 6030, 2429, 2086, 17617, 3550, 2769, 2673, 2563, 1469, 1204, 2057, 14967, 119, 13934, 1306, 1462, 4279, 1167, 15156, 1518, 1201, 183, 2187, 121, 106, 106, 5164, 1299, 30834, 244, 1125, 1405, 1164, 2194, 2133, 1769, 1188, 1158, 1622, 2519, 23931, 1186, 21593, 1186, 488, 124, 132, 130, 129, 121, 13934, 1306, 1462, 4279, 21552, 1188, 1440, 3013, 12284, 133, 7419, 16298, 3031, 6113, 1125, 4142, 1357, 1288, 2830, 1382, 1982, 3691, 1317, 1844, 1309, 1207, 7298, 2004, 2680, 30720, 1167, 1527, 26865, 1370, 1170, 1338, 1636, 5030, 1313, 1318, 31987, 4095, 1548, 8328, 1304, 23733, 2194, 2133, 1769, 119, 16839, 1857, 30743, 2690, 3365, 1299, 4337, 244, 1313, 1170, 1235, 1232, 18496, 13315, 1227, 3274, 1523, 4716, 3839, 15363, 1189, 30688, 1125, 27535, 3041, 30743, 13192, 1309, 5535, 2548, 1167, 1207, 2905, 4634, 6096, 1186, 2627, 6024, 2757, 1189, 4093, 2658, 1300, 1197, 4502, 12320, 2137, 1125, 1158, 3657, 1227, 3274, 121, 106, 106, 1686, 488, 124, 132, 131, 124, 119, 1204, 2057, 14967, 1167, 11539, 193, 1121, 1233, 4941, 119, 1125, 1405, 1164, 2194, 2133, 1769, 119, 2463, 13250, 5535, 2548, 1188, 26983, 3914, 1317, 3631, 24223, 1723, 5535, 2548, 4106, 1314, 1158, 10813, 121, 106, 106, 5164, 19859, 1125, 2784, 6908, 12006, 1188, 1282, 21056, 119, 1251, 5749, 1125, 16309, 1166, 1955, 6068, 1167, 27462, 1399, 1484, 2620, 1188, 1594, 10081, 1125, 8354, 2064, 1170, 13922, 488, 125, 131, 3141, 488, 124, 132, 131, 128, 121, 1768, 1110, 488, 126, 131, 2165, 1167, 488, 126, 123, 21039, 6280, 4541, 1299, 1188, 10835, 7803, 1303, 1313, 1158, 8146, 4501, 5907, 106, 106, 15531, 1158, 23931, 11496, 14105, 1188, 21396, 1125, 1158, 4541, 1125, 5535, 24525, 1405, 1164, 2194, 2133, 1769, 2435, 1275, 175, 1214, 1410, 1325, 1493, 16639, 106, 106, 22525, 4134, 106, 106, 158, 14201, 488, 106, 124, 132, 130, 128, 1257, 17617, 3550, 2769, 2673, 1201, 106, 124, 132, 130, 131, 1257, 28877, 11704, 1156, 1518, 3579, 106, 106, 23733, 2194, 2133, 1769, 106, 106, 3681, 4354, 190, 13553, 488, 106, 106, 488, 124, 132, 130, 123, 1257, 28149, 1330, 176, 25841, 1553, 28149, 1330, 23181, 106, 488, 124, 132, 130, 124, 1257, 1173, 1790, 25287, 106, 488, 124, 132, 130, 124, 1257, 14660, 1355, 1671, 1627, 1372, 106, 488, 124, 132, 130, 125, 1257, 6411, 1376, 1171, 1325, 1493, 3656, 106, 488, 124, 132, 130, 125, 1257, 1410, 6453, 18351, 1361, 1233, 7963, 2375, 106, 488, 124, 132, 130, 126, 1257, 1173, 7415, 1252, 27089, 106, 488, 124, 132, 130, 127, 1257, 1325, 7093, 18955, 106, 488, 124, 132, 130, 128, 1257, 6980, 1163, 17943, 9552, 106, 488, 124, 132, 130, 129, 1257, 6815, 1171, 1204, 1580, 196, 106, 106, 3681, 4354, 190, 5368, 488, 106, 106, 488, 124, 132, 130, 126, 1257, 1405, 1164, 2194, 2133, 1769, 13727, 106, 488, 124, 132, 131, 129, 1257, 13727, 1355, 3676, 1228, 1494, 1105, 1330, 130, 127, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 1405, 1164, 2194, 2133, 1769, 106, 106, 28870, 5825, 488, 106, 106, 488, 7649, 9229, 1125, 1405, 1164, 2194, 2133, 1769, 106, 488, 1405, 1164, 2194, 2133, 1769, 2315, 106, 106, 2330, 1119, 1836, 9400, 1125, 7804, 106, 8857, 1829, 1125, 1405, 1164, 2194, 2133, 1769, 106, 153, 3400, 1186, 2749, 488, 124, 132, 127, 130, 106, 153, 3400, 1188, 1254, 8699, 7890, 190, 22147, 116, 106, 31133, 1467, 1186, 3141, 488, 124, 132, 131, 128, 106, 31133, 1467, 1188, 28346, 6700, 1487, 6630, 4917, 9630, 106, 2330, 1119, 1836, 1125, 4348, 7804, 106, 2330, 1119, 1836, 9400, 1125, 14259, 13650, 106, 31133, 1467, 1188, 488, 126, 131, 2165, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 159, 1261, 14867, 1572, 27356, 1188, 21491, 1309, 1170, 6092, 1299, 3839, 5666, 121, 32001, 488, 106, 32000, 20036, 106, 13386, 1161, 13124, 1209, 2098, 2141, 1163, 2151, 1656, 1302, 1135, 3737, 1239, 4656, 7214, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 13386, 1161, 13124, 1209, 2098, 2141, 1163, 2151, 1656, 1302, 1135, 3737, 1239, 4656, 7214, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 147, 3352, 184, 6507, 4148, 4540, 119, 9204, 1147, 488, 124, 132, 128, 131, 1147, 1198, 1145, 3366, 1239, 1110, 16869, 2323, 3152, 7070, 11484, 6384, 488, 125, 123, 124, 130, 119, 1386, 1602, 2023, 1135, 11299, 1161, 1135, 16869, 2323, 1165, 1314, 13005, 1122, 21844, 106, 106, 141, 180, 11114, 106, 147, 3352, 184, 6507, 4148, 4540, 1463, 9204, 1147, 488, 124, 132, 128, 131, 1147, 1198, 1145, 5068, 2133, 21605, 1355, 1135, 5761, 1161, 1252, 1314, 11384, 2468, 1386, 13196, 1110, 9702, 1361, 10375, 119, 1171, 2491, 13196, 1110, 4533, 6900, 5815, 21590, 1147, 488, 124, 132, 131, 127, 121, 1459, 488, 124, 132, 131, 129, 119, 1386, 12142, 1135, 1940, 3772, 1161, 1110, 7628, 10778, 1147, 15314, 4533, 121, 106, 106, 6937, 488, 124, 132, 131, 130, 1163, 488, 125, 123, 123, 132, 119, 6507, 4148, 4540, 20160, 1116, 20770, 1171, 5284, 21067, 2113, 1355, 1135, 10840, 1161, 8685, 1171, 11153, 18116, 14433, 1171, 7368, 5057, 11326, 2536, 1296, 3418, 5878, 3719, 14105, 5284, 21067, 2113, 5724, 1659, 9912, 3152, 4834, 1171, 3418, 15404, 121, 2133, 2491, 8071, 1163, 3630, 1765, 3022, 22889, 488, 128, 122, 128, 19210, 1285, 1324, 1110, 5697, 1238, 2129, 24595, 17208, 1171, 31758, 9853, 1324, 1151, 23454, 1171, 1110, 25996, 1310, 6333, 121, 106, 106, 1428, 488, 125, 123, 124, 124, 119, 1306, 3352, 184, 6507, 4148, 4540, 3413, 1589, 1135, 3580, 4494, 1410, 13047, 1626, 3091, 1342, 6963, 1758, 23397, 1163, 15492, 15337, 2840, 4551, 2488, 3399, 8336, 1147, 19554, 1161, 16869, 1575, 3703, 3101, 1163, 1116, 1314, 184, 6631, 106, 106, 1428, 6384, 488, 125, 123, 124, 130, 119, 1135, 16869, 2323, 22989, 1161, 1165, 14803, 29376, 10229, 1135, 28116, 1161, 1135, 11299, 1296, 1135, 31523, 11299, 1161, 1135, 16869, 2323, 1165, 1314, 13005, 1122, 21844, 106, 106, 145, 6417, 11114, 106, 147, 3352, 184, 6507, 4148, 4540, 1602, 18840, 5057, 3399, 8336, 133, 106, 124, 132, 132, 131, 133, 13303, 1147, 1110, 5055, 1161, 1173, 3770, 16694, 11299, 106, 124, 132, 132, 132, 133, 25377, 1507, 1199, 8118, 11299, 106, 125, 123, 123, 125, 133, 1248, 5363, 190, 7812, 15077, 14091, 179, 108, 27796, 1161, 1135, 2499, 1141, 1553, 3568, 27368, 1171, 11299, 106, 125, 123, 123, 129, 120, 125, 123, 123, 130, 133, 1539, 18456, 1653, 185, 1118, 3544, 184, 11412, 2722, 5363, 4313, 11903, 1173, 2554, 31899, 3568, 27368, 1171, 11299, 106, 125, 123, 123, 131, 133, 13082, 1217, 1119, 1147, 25319, 6945, 1175, 30756, 1238, 13082, 1217, 1119, 3568, 11299, 106, 125, 123, 124, 123, 133, 1192, 1198, 1366, 1161, 1252, 1551, 3009, 27368, 1171, 11299, 106, 106, 10488, 190, 106, 4282, 1110, 3344, 1659, 1306, 3352, 184, 6507, 4148, 4540, 1239, 1135, 4767, 1161, 2197, 21975, 1857, 4405, 3009, 6679, 21430, 1132, 23304, 1214, 3554, 109, 1171, 6679, 4273, 14909, 1162, 4095, 106, 106, 140, 5381, 106, 141, 1182, 29888, 21430, 172, 10812, 1355, 1135, 10710, 5355, 9028, 1147, 21851, 10520, 1810, 23569, 1226, 13303, 1147, 1110, 5055, 1161, 1173, 25439, 1175, 124, 132, 132, 131, 3628, 106, 25290, 16464, 12483, 10812, 1355, 1135, 3091, 1276, 1272, 12483, 30197, 1226, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 125, 3628, 106, 149, 4532, 1204, 7314, 1355, 1135, 6461, 3100, 22583, 1171, 14136, 4950, 12483, 9461, 1147, 28562, 1226, 25377, 1507, 1199, 172, 1175, 125, 123, 123, 125, 3628, 106, 22464, 30558, 1226, 16464, 13047, 1626, 1355, 1135, 6461, 3100, 22583, 1171, 14136, 4950, 12483, 9461, 1147, 28562, 1226, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 3628, 106, 158, 4762, 1321, 4532, 30558, 1355, 1135, 3032, 1187, 1178, 16406, 8961, 12483, 9461, 1226, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 3628, 106, 158, 4762, 1204, 7314, 1355, 1135, 1173, 1141, 235, 9461, 1226, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 3628, 106, 146, 8539, 30558, 1355, 1135, 5371, 11698, 13820, 185, 16027, 12483, 9461, 1226, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 127, 3628, 106, 158, 4762, 1321, 4532, 30558, 1355, 1135, 1233, 5580, 1474, 1161, 12983, 1165, 1314, 8381, 1147, 2801, 1226, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 127, 3628, 106, 26445, 2177, 27524, 1119, 13047, 1626, 30558, 1147, 1135, 5886, 1320, 1696, 1161, 1135, 5645, 2177, 27524, 1119, 109, 9258, 1355, 1135, 5645, 2177, 27524, 1119, 7978, 1226, 21281, 21067, 2113, 17318, 12621, 1226, 1539, 18456, 1653, 185, 1118, 3544, 184, 11412, 2722, 5363, 4313, 1175, 125, 123, 123, 130, 3628, 106, 7089, 1146, 1107, 1161, 1135, 16869, 2323, 14545, 1161, 8580, 1123, 1175, 125, 123, 124, 132, 1576, 106, 106, 145, 5553, 190, 106, 147, 3352, 184, 6507, 4148, 4540, 5772, 1135, 4966, 13047, 1626, 12483, 1748, 31149, 121, 106, 106, 26722, 4672, 3009, 106, 159, 10557, 2323, 11299, 106, 159, 10557, 2323, 3418, 27368, 106, 159, 10557, 2323, 3418, 15404, 106, 18406, 1161, 1135, 16869, 2323, 15567, 1161, 18116, 14433, 1200, 1706, 2563, 1171, 11384, 106, 141, 2589, 1147, 488, 124, 132, 128, 131, 106, 141, 2589, 1147, 16869, 4297, 121, 32001, 488, 106, 32000, 20036, 106, 147, 3352, 184, 6507, 4148, 4540, 119, 5252, 1186, 488, 124, 132, 128, 131, 1188, 1198, 1145, 3366, 1299, 1189, 25081, 1111, 10557, 26352, 1768, 18001, 2757, 2798, 488, 125, 123, 124, 130, 119, 1170, 8328, 1125, 1158, 1165, 1109, 2035, 1495, 12990, 1111, 10557, 28355, 106, 106, 141, 11741, 488, 106, 147, 3352, 184, 6507, 4148, 4540, 1299, 5252, 1186, 488, 124, 132, 128, 131, 1188, 1198, 1145, 5068, 1768, 22589, 1214, 1188, 12547, 10070, 1197, 14948, 120, 8752, 2585, 1527, 18764, 1318, 11074, 8222, 2648, 1666, 1117, 3310, 1186, 488, 124, 132, 131, 127, 119, 1189, 17427, 1304, 1301, 5815, 1188, 1158, 3370, 121, 1653, 488, 124, 132, 131, 129, 119, 1527, 4212, 1170, 3151, 19810, 1227, 19860, 1125, 3370, 30686, 4654, 106, 106, 2524, 488, 124, 132, 131, 130, 1188, 488, 125, 123, 123, 132, 119, 6507, 4148, 4540, 19353, 1170, 9452, 1167, 1282, 7001, 21067, 2497, 1188, 26341, 1125, 8146, 1167, 1197, 11733, 1125, 20629, 2648, 27254, 3171, 17691, 1257, 3719, 1793, 1125, 27902, 10457, 1287, 1285, 4208, 12397, 1186, 5284, 21067, 22800, 8328, 1125, 9912, 190, 1167, 11876, 1125, 9452, 121, 1778, 1158, 18908, 1527, 12459, 1125, 5362, 1561, 23998, 488, 128, 122, 128, 19210, 1285, 1188, 5685, 1527, 5714, 1256, 3028, 20896, 6533, 1366, 1189, 21363, 1125, 8306, 28396, 1366, 1167, 1125, 9853, 1227, 21143, 1469, 1318, 13815, 1357, 1299, 1188, 1158, 2768, 26589, 1167, 23080, 121, 106, 106, 1686, 488, 125, 123, 124, 124, 119, 1306, 3352, 184, 6507, 4148, 4540, 1299, 1188, 5444, 13616, 1227, 2929, 24137, 1808, 3091, 1342, 12828, 3399, 5291, 1357, 14681, 1188, 29230, 1207, 9585, 1125, 1158, 9148, 2334, 12884, 1188, 4759, 1170, 21143, 1313, 1207, 13535, 1125, 28701, 29489, 1125, 9452, 121, 106, 106, 1686, 2798, 488, 125, 123, 124, 130, 119, 1170, 10610, 1111, 10557, 1354, 1197, 25274, 24515, 10656, 1158, 22928, 1227, 25081, 1188, 1158, 4595, 16051, 1125, 1158, 1165, 1109, 2035, 1495, 12990, 1111, 10557, 28355, 106, 106, 145, 6417, 4134, 488, 106, 147, 3352, 184, 6507, 4148, 4540, 1110, 8922, 3171, 3399, 1690, 1257, 488, 106, 124, 132, 132, 131, 1257, 12684, 1623, 1313, 1189, 2854, 1125, 4981, 1257, 25081, 106, 124, 132, 132, 132, 1257, 25377, 1507, 1199, 172, 1257, 25081, 106, 125, 123, 123, 125, 1257, 1248, 5363, 190, 7812, 15077, 1175, 229, 1590, 17734, 2100, 1197, 1127, 1201, 8379, 1257, 24190, 1167, 25081, 106, 125, 123, 123, 129, 120, 125, 123, 123, 130, 1257, 1539, 18456, 1653, 185, 1118, 3544, 184, 11412, 2722, 5363, 4313, 9845, 25578, 7159, 6590, 1197, 20318, 116, 1257, 24190, 1167, 25081, 106, 125, 123, 123, 131, 1257, 13082, 1217, 1119, 1188, 25319, 6945, 4250, 1633, 1153, 244, 1300, 2986, 1257, 25081, 106, 125, 123, 124, 123, 1257, 1814, 1191, 1148, 1125, 11931, 1257, 24190, 1167, 25081, 106, 106, 282, 19760, 488, 106, 224, 31958, 5485, 1306, 3352, 184, 6507, 4148, 4540, 1299, 18480, 1125, 2069, 1685, 1277, 2312, 1125, 28273, 1257, 1235, 6880, 2219, 244, 1132, 12669, 109, 1167, 31560, 1266, 1603, 4453, 4095, 106, 106, 28119, 1109, 7683, 488, 106, 155, 3303, 1125, 1158, 6742, 12434, 17482, 1317, 10710, 5355, 9028, 1125, 21851, 1419, 1175, 20270, 116, 1256, 12684, 1623, 1313, 1189, 2854, 1125, 4981, 1175, 124, 132, 132, 131, 116, 2040, 106, 155, 3303, 1227, 6001, 4972, 3277, 6327, 1571, 5643, 1473, 31735, 20678, 1125, 3091, 1276, 1272, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 125, 116, 2040, 106, 152, 7314, 1227, 18502, 1317, 9461, 1227, 9452, 5519, 9971, 119, 1304, 31348, 1167, 5519, 18337, 4123, 1314, 1125, 28562, 1256, 25377, 1507, 1199, 172, 1175, 125, 123, 123, 125, 116, 2040, 106, 2524, 1250, 3555, 3248, 1227, 21143, 6327, 1317, 9461, 1227, 9452, 5519, 9971, 119, 1304, 31348, 1167, 5519, 18337, 4123, 1314, 1125, 28562, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 116, 2040, 106, 155, 3303, 4309, 1227, 18502, 1317, 16406, 8961, 12483, 9461, 1125, 22658, 189, 3297, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 116, 2040, 106, 152, 7314, 17794, 1317, 9461, 1125, 1173, 1141, 235, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 116, 2040, 106, 146, 8539, 3248, 1317, 9461, 1227, 12483, 25130, 11565, 1125, 5371, 11698, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 127, 116, 2040, 106, 155, 3303, 4309, 1227, 18502, 1188, 1158, 1233, 5580, 1366, 1197, 5312, 2035, 1141, 13913, 6482, 1125, 2801, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 127, 116, 2040, 106, 155, 3303, 1227, 21143, 3320, 17432, 30681, 1313, 1158, 6964, 1606, 23789, 1941, 1125, 1158, 26617, 1303, 1524, 1317, 10058, 1227, 6508, 3320, 17432, 30681, 1125, 1158, 4882, 5284, 21067, 3858, 1256, 1539, 18456, 1653, 185, 1118, 3544, 184, 11412, 2722, 5363, 4313, 1175, 125, 123, 123, 130, 116, 2040, 106, 7089, 1146, 1374, 1125, 29204, 13976, 1111, 10557, 1354, 1227, 1204, 1356, 1286, 1175, 125, 123, 124, 132, 1576, 106, 106, 145, 5553, 190, 488, 106, 147, 3352, 184, 6507, 4148, 4540, 1110, 9601, 1158, 4919, 244, 4538, 5277, 1227, 3418, 3399, 7441, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 8044, 1790, 1793, 1111, 10557, 1354, 106, 24074, 1836, 1111, 10557, 1354, 1125, 9452, 106, 142, 1164, 1960, 1111, 10557, 1354, 1125, 9452, 106, 8857, 1829, 1125, 31805, 1111, 10557, 3556, 1197, 4228, 14433, 1197, 13837, 1167, 1197, 12594, 106, 153, 3400, 1186, 488, 124, 132, 128, 131, 106, 153, 3400, 1188, 16869, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 147, 3352, 184, 6507, 4148, 4540, 119, 5252, 1186, 488, 124, 132, 128, 131, 1188, 1198, 1145, 3366, 1299, 1189, 25081, 1111, 10557, 26352, 1768, 18001, 2757, 2798, 488, 125, 123, 124, 130, 119, 1170, 8328, 1125, 1158, 1165, 1109, 2035, 1495, 12990, 1111, 10557, 28355, 106, 106, 141, 11741, 488, 106, 147, 3352, 184, 6507, 4148, 4540, 1299, 5252, 1186, 488, 124, 132, 128, 131, 1188, 1198, 1145, 5068, 1768, 22589, 1214, 1188, 12547, 10070, 1197, 14948, 120, 8752, 2585, 1527, 18764, 1318, 11074, 8222, 2648, 1666, 1117, 3310, 1186, 488, 124, 132, 131, 127, 119, 1189, 17427, 1304, 1301, 5815, 1188, 1158, 3370, 121, 1653, 488, 124, 132, 131, 129, 119, 1527, 4212, 1170, 3151, 19810, 1227, 19860, 1125, 3370, 30686, 4654, 106, 106, 2524, 488, 124, 132, 131, 130, 1188, 488, 125, 123, 123, 132, 119, 6507, 4148, 4540, 19353, 1170, 9452, 1167, 1282, 7001, 21067, 2497, 1188, 26341, 1125, 8146, 1167, 1197, 11733, 1125, 20629, 2648, 27254, 3171, 17691, 1257, 3719, 1793, 1125, 27902, 10457, 1287, 1285, 4208, 12397, 1186, 5284, 21067, 22800, 8328, 1125, 9912, 190, 1167, 11876, 1125, 9452, 121, 1778, 1158, 18908, 1527, 12459, 1125, 5362, 1561, 23998, 488, 128, 122, 128, 19210, 1285, 1188, 5685, 1527, 5714, 1256, 3028, 20896, 6533, 1366, 1189, 21363, 1125, 8306, 28396, 1366, 1167, 1125, 9853, 1227, 21143, 1469, 1318, 13815, 1357, 1299, 1188, 1158, 2768, 26589, 1167, 23080, 121, 106, 106, 1686, 488, 125, 123, 124, 124, 119, 1306, 3352, 184, 6507, 4148, 4540, 1299, 1188, 5444, 13616, 1227, 2929, 24137, 1808, 3091, 1342, 12828, 3399, 5291, 1357, 14681, 1188, 29230, 1207, 9585, 1125, 1158, 9148, 2334, 12884, 1188, 4759, 1170, 21143, 1313, 1207, 13535, 1125, 28701, 29489, 1125, 9452, 121, 106, 106, 1686, 2798, 488, 125, 123, 124, 130, 119, 1170, 10610, 1111, 10557, 1354, 1197, 25274, 24515, 10656, 1158, 22928, 1227, 25081, 1188, 1158, 4595, 16051, 1125, 1158, 1165, 1109, 2035, 1495, 12990, 1111, 10557, 28355, 106, 106, 145, 6417, 4134, 488, 106, 147, 3352, 184, 6507, 4148, 4540, 1110, 8922, 3171, 3399, 1690, 1257, 488, 106, 124, 132, 132, 131, 1257, 12684, 1623, 1313, 1189, 2854, 1125, 4981, 1257, 25081, 106, 124, 132, 132, 132, 1257, 25377, 1507, 1199, 172, 1257, 25081, 106, 125, 123, 123, 125, 1257, 1248, 5363, 190, 7812, 15077, 1175, 229, 1590, 17734, 2100, 1197, 1127, 1201, 8379, 1257, 24190, 1167, 25081, 106, 125, 123, 123, 129, 120, 125, 123, 123, 130, 1257, 1539, 18456, 1653, 185, 1118, 3544, 184, 11412, 2722, 5363, 4313, 9845, 25578, 7159, 6590, 1197, 20318, 116, 1257, 24190, 1167, 25081, 106, 125, 123, 123, 131, 1257, 13082, 1217, 1119, 1188, 25319, 6945, 4250, 1633, 1153, 244, 1300, 2986, 1257, 25081, 106, 125, 123, 124, 123, 1257, 1814, 1191, 1148, 1125, 11931, 1257, 24190, 1167, 25081, 106, 106, 282, 19760, 488, 106, 224, 31958, 5485, 1306, 3352, 184, 6507, 4148, 4540, 1299, 18480, 1125, 2069, 1685, 1277, 2312, 1125, 28273, 1257, 1235, 6880, 2219, 244, 1132, 12669, 109, 1167, 31560, 1266, 1603, 4453, 4095, 106, 106, 28119, 1109, 7683, 488, 106, 155, 3303, 1125, 1158, 6742, 12434, 17482, 1317, 10710, 5355, 9028, 1125, 21851, 1419, 1175, 20270, 116, 1256, 12684, 1623, 1313, 1189, 2854, 1125, 4981, 1175, 124, 132, 132, 131, 116, 2040, 106, 155, 3303, 1227, 6001, 4972, 3277, 6327, 1571, 5643, 1473, 31735, 20678, 1125, 3091, 1276, 1272, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 125, 116, 2040, 106, 152, 7314, 1227, 18502, 1317, 9461, 1227, 9452, 5519, 9971, 119, 1304, 31348, 1167, 5519, 18337, 4123, 1314, 1125, 28562, 1256, 25377, 1507, 1199, 172, 1175, 125, 123, 123, 125, 116, 2040, 106, 2524, 1250, 3555, 3248, 1227, 21143, 6327, 1317, 9461, 1227, 9452, 5519, 9971, 119, 1304, 31348, 1167, 5519, 18337, 4123, 1314, 1125, 28562, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 116, 2040, 106, 155, 3303, 4309, 1227, 18502, 1317, 16406, 8961, 12483, 9461, 1125, 22658, 189, 3297, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 116, 2040, 106, 152, 7314, 17794, 1317, 9461, 1125, 1173, 1141, 235, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 126, 116, 2040, 106, 146, 8539, 3248, 1317, 9461, 1227, 12483, 25130, 11565, 1125, 5371, 11698, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 127, 116, 2040, 106, 155, 3303, 4309, 1227, 18502, 1188, 1158, 1233, 5580, 1366, 1197, 5312, 2035, 1141, 13913, 6482, 1125, 2801, 1256, 1248, 5363, 190, 7812, 15077, 1175, 125, 123, 123, 127, 116, 2040, 106, 155, 3303, 1227, 21143, 3320, 17432, 30681, 1313, 1158, 6964, 1606, 23789, 1941, 1125, 1158, 26617, 1303, 1524, 1317, 10058, 1227, 6508, 3320, 17432, 30681, 1125, 1158, 4882, 5284, 21067, 3858, 1256, 1539, 18456, 1653, 185, 1118, 3544, 184, 11412, 2722, 5363, 4313, 1175, 125, 123, 123, 130, 116, 2040, 106, 7089, 1146, 1374, 1125, 29204, 13976, 1111, 10557, 1354, 1227, 1204, 1356, 1286, 1175, 125, 123, 124, 132, 1576, 106, 106, 145, 5553, 190, 488, 106, 147, 3352, 184, 6507, 4148, 4540, 1110, 9601, 1158, 4919, 244, 4538, 5277, 1227, 3418, 3399, 7441, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 8044, 1790, 1793, 1111, 10557, 1354, 106, 24074, 1836, 1111, 10557, 1354, 1125, 9452, 106, 142, 1164, 1960, 1111, 10557, 1354, 1125, 9452, 106, 8857, 1829, 1125, 31805, 1111, 10557, 3556, 1197, 4228, 14433, 1197, 13837, 1167, 1197, 12594, 106, 153, 3400, 1186, 488, 124, 132, 128, 131, 106, 153, 3400, 1188, 16869, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 162, 28283, 9605, 7546, 1105, 1463, 1110, 9324, 6517, 18351, 1171, 8108, 13808, 9204, 1238, 6324, 488, 126, 119, 488, 124, 130, 130, 127, 1147, 1173, 1790, 25287, 1171, 12743, 1238, 5696, 488, 125, 128, 119, 488, 124, 131, 126, 128, 1147, 15133, 24669, 1297, 106, 106, 141, 180, 11114, 106, 147, 1120, 11432, 1463, 1110, 2674, 21904, 18921, 4592, 1210, 4974, 10560, 1231, 1230, 1905, 3020, 1446, 1110, 2763, 6176, 30251, 1355, 5052, 1386, 17725, 1135, 6510, 1161, 1863, 1263, 1274, 10036, 1248, 1480, 1706, 1175, 124, 130, 128, 129, 120, 124, 131, 127, 123, 1576, 2133, 8461, 2367, 8179, 1306, 1128, 1512, 1824, 1175, 124, 130, 129, 128, 120, 124, 131, 127, 130, 1496, 1110, 5271, 8557, 13808, 1324, 13184, 1386, 16864, 1110, 6582, 1140, 1510, 5467, 10505, 121, 19239, 1163, 13812, 7546, 1105, 2367, 9595, 10290, 1202, 1422, 2322, 196, 1175, 124, 130, 126, 123, 120, 124, 131, 123, 124, 1496, 2000, 26369, 1156, 2667, 1163, 11051, 1105, 1135, 7659, 1161, 25954, 1135, 1455, 5185, 1163, 5180, 1110, 6517, 2189, 6871, 106, 106, 3780, 17032, 18637, 1361, 25167, 4780, 21967, 1147, 6942, 488, 124, 130, 132, 123, 121, 2133, 2491, 21605, 2670, 13677, 1119, 4045, 1192, 3340, 1707, 14296, 1347, 22730, 1494, 1175, 124, 130, 129, 124, 120, 124, 131, 127, 125, 116, 1171, 4172, 1173, 1456, 1276, 14552, 1175, 124, 130, 128, 131, 120, 124, 130, 132, 129, 116, 1171, 7905, 1135, 21265, 1361, 7667, 4974, 2133, 26939, 2295, 1173, 1456, 1276, 14552, 1238, 13677, 1119, 1926, 3572, 1392, 1764, 1758, 2098, 3075, 1163, 1135, 8119, 1161, 1765, 7529, 172, 6410, 1168, 2036, 106, 106, 152, 23755, 7905, 1110, 6644, 1161, 1135, 12418, 1245, 1119, 13309, 1161, 9485, 1238, 6324, 488, 126, 119, 488, 124, 130, 132, 128, 1355, 2155, 488, 125, 124, 3162, 4006, 121, 2133, 9828, 1110, 5467, 10505, 1324, 13677, 1119, 1267, 18988, 8590, 19961, 11040, 1175, 124, 130, 128, 132, 120, 124, 131, 125, 131, 1576, 2133, 5868, 1151, 4522, 1147, 17826, 190, 1171, 12031, 1765, 1940, 8828, 1238, 1135, 6558, 1147, 1135, 13911, 1361, 13957, 1972, 1135, 2994, 1976, 1386, 1463, 26970, 121, 2192, 1463, 11179, 1449, 2717, 1792, 4105, 2563, 1543, 1238, 3224, 1329, 20283, 1142, 1127, 1815, 1153, 182, 1297, 2133, 1959, 5868, 1151, 4522, 1147, 5517, 1171, 1463, 5684, 1135, 1940, 1163, 4493, 1110, 15955, 5705, 1161, 22946, 5966, 17659, 106, 106, 18628, 5994, 1149, 1765, 11622, 1230, 1147, 24703, 3603, 1386, 14010, 5206, 184, 1554, 1213, 15729, 2670, 1135, 4595, 1161, 18988, 23479, 1165, 1766, 1337, 1105, 1175, 124, 130, 129, 126, 120, 124, 131, 128, 129, 1576, 4967, 1135, 21044, 4772, 30235, 1355, 4861, 12874, 6190, 1200, 1259, 4780, 1704, 1161, 1135, 5038, 1625, 1346, 2000, 1463, 10936, 1147, 13677, 1119, 1762, 17447, 1110, 8082, 2293, 1463, 1375, 15875, 28266, 5863, 1174, 1193, 3740, 2011, 6181, 7009, 181, 1180, 6574, 12359, 30973, 119, 488, 124, 130, 131, 131, 121, 9595, 7546, 1105, 1463, 14388, 1163, 18637, 3984, 12810, 3212, 1171, 1386, 1463, 2491, 12031, 1355, 2107, 2771, 2133, 6470, 7905, 18637, 26518, 1361, 5822, 6517, 18351, 1171, 1776, 1176, 4974, 106, 106, 1428, 488, 124, 131, 123, 124, 119, 1386, 17838, 2580, 1765, 5467, 9595, 1202, 1422, 2322, 15186, 7442, 10715, 119, 1171, 1110, 4013, 3162, 18775, 1147, 488, 124, 131, 123, 128, 119, 7546, 1105, 1191, 16252, 1135, 2678, 1226, 1765, 1870, 8162, 8619, 10116, 1161, 1135, 18136, 1972, 1161, 1200, 6883, 241, 1153, 4095, 1459, 488, 124, 131, 123, 132, 119, 1765, 3172, 8964, 8511, 12901, 2667, 1540, 20526, 1302, 1386, 2055, 1163, 8031, 1765, 3620, 1355, 5206, 184, 1554, 1213, 15729, 121, 106, 106, 3780, 8226, 8964, 3760, 1147, 3821, 3347, 2314, 1161, 1765, 1907, 2536, 1296, 1135, 14916, 4897, 5649, 1161, 1135, 11801, 9168, 1161, 28272, 18200, 1161, 9485, 1171, 1410, 9485, 14916, 1171, 2708, 18776, 5643, 3850, 106, 106, 147, 1120, 11432, 12743, 1147, 488, 124, 131, 124, 129, 25722, 1147, 7251, 3378, 16289, 488, 125, 123, 119, 123, 123, 123, 2166, 1314, 4277, 1758, 1765, 1594, 2762, 12169, 1147, 488, 124, 131, 125, 130, 121, 106, 106, 21320, 1959, 106, 106, 141, 4807, 11114, 106, 149, 3644, 1192, 7490, 2333, 6721, 1192, 7072, 28988, 1173, 26917, 1161, 1135, 1200, 1230, 7451, 9605, 7546, 2114, 3341, 16434, 133, 8354, 1355, 1151, 11297, 1149, 4020, 13925, 1161, 1135, 9168, 1161, 28272, 2189, 6963, 10290, 1171, 4172, 19961, 16030, 183, 4834, 24349, 488, 124, 131, 126, 131, 133, 1666, 1123, 3989, 8906, 119, 7205, 7769, 1238, 4644, 26144, 106, 106, 26722, 14520, 106, 106, 141, 1164, 7474, 13677, 1119, 1267, 1161, 1135, 488, 124, 132, 1276, 14851, 106, 141, 1164, 7474, 6517, 18351, 1161, 1135, 488, 124, 132, 1276, 14851, 106, 3681, 3109, 1153, 1161, 18637, 1361, 9168, 14091, 195, 7362, 116, 106, 18406, 1161, 1135, 11801, 13309, 106, 18406, 1161, 1135, 12418, 1245, 1119, 13309, 1161, 9485, 106, 141, 2589, 1147, 6324, 488, 124, 130, 130, 127, 106, 141, 2589, 1147, 1173, 1790, 25287, 1175, 2029, 2580, 16983, 116, 106, 143, 2295, 1147, 5696, 488, 124, 131, 126, 128, 106, 143, 2295, 1147, 9485, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 129, 124, 121, 32001, 488, 106, 32000, 20036, 106, 162, 28283, 9605, 7546, 1105, 1299, 1189, 12304, 1167, 1189, 15503, 8765, 11181, 3725, 5252, 1170, 488, 126, 2749, 488, 124, 130, 130, 127, 1188, 1173, 1790, 25287, 1167, 4541, 1170, 488, 125, 128, 2829, 488, 124, 131, 126, 128, 1188, 15133, 24669, 1297, 106, 106, 141, 11741, 488, 106, 158, 1105, 9159, 1299, 1189, 15069, 1125, 10836, 14238, 3502, 10560, 4587, 244, 2205, 15906, 1215, 1158, 18084, 1188, 8826, 2165, 1527, 20116, 1112, 30167, 1227, 5131, 1356, 1274, 10036, 1248, 1480, 1706, 1175, 124, 130, 128, 129, 120, 124, 131, 127, 123, 1576, 1768, 6666, 11108, 8179, 1306, 1128, 1512, 1824, 1175, 124, 130, 129, 128, 120, 124, 131, 127, 130, 1496, 12905, 11347, 12001, 1469, 6640, 1527, 1139, 1118, 2960, 1318, 1675, 10190, 1357, 2138, 2960, 2797, 1964, 16246, 3855, 4855, 1188, 2435, 1309, 7546, 1105, 6666, 1170, 28067, 10290, 1202, 1422, 2322, 196, 1175, 124, 130, 126, 123, 120, 124, 131, 123, 124, 1496, 1357, 1170, 22914, 2240, 19968, 1265, 6820, 19028, 1283, 14863, 1313, 1207, 28024, 1256, 8753, 6325, 4537, 106, 106, 5164, 1835, 1317, 18637, 1361, 9168, 19858, 195, 7362, 1186, 2921, 488, 124, 130, 132, 123, 121, 1768, 8295, 3042, 1207, 3285, 1197, 13677, 1119, 4195, 1192, 3340, 1707, 14296, 1347, 22730, 1494, 1175, 124, 130, 129, 124, 120, 124, 131, 127, 125, 116, 1167, 4172, 1173, 1456, 1276, 14552, 1175, 124, 130, 128, 131, 120, 124, 130, 132, 129, 116, 1167, 7354, 17263, 9965, 1125, 1440, 4755, 121, 1768, 9978, 2983, 2818, 7542, 1909, 2067, 6042, 12182, 1357, 29997, 1188, 1173, 1456, 1276, 14552, 1125, 1982, 1215, 4545, 1561, 7529, 172, 6410, 1168, 2036, 106, 106, 152, 23755, 7354, 6711, 1125, 1158, 7676, 1115, 6883, 244, 2794, 1125, 20024, 1170, 488, 126, 2749, 488, 124, 130, 132, 128, 1188, 5125, 488, 125, 124, 8793, 1768, 1251, 1139, 15167, 1318, 6127, 9305, 10190, 1469, 1170, 13677, 1119, 2038, 18988, 8590, 19961, 11040, 1175, 124, 130, 128, 132, 120, 124, 131, 125, 131, 1576, 1768, 1999, 25537, 1571, 12271, 1292, 1741, 1167, 2465, 13274, 1300, 1440, 3499, 2914, 5004, 1561, 3453, 4882, 1313, 1207, 9011, 8998, 1274, 1153, 1125, 1158, 7676, 10453, 2076, 1125, 1594, 30035, 121, 25066, 4112, 2934, 27849, 1125, 1906, 4864, 119, 3295, 1300, 1207, 1127, 1815, 1153, 1485, 2981, 1785, 1362, 20283, 22094, 1768, 1999, 25537, 2072, 1188, 10722, 1167, 1299, 6303, 1197, 7790, 1188, 5518, 1318, 11666, 14061, 1125, 22946, 5966, 17659, 106, 106, 4298, 2768, 1594, 3694, 1125, 28067, 1186, 16619, 8776, 4353, 1527, 1835, 1317, 5206, 184, 1554, 1213, 15729, 2290, 1158, 4595, 1125, 18988, 23479, 1165, 1766, 1337, 1105, 1175, 124, 130, 129, 126, 120, 124, 131, 128, 129, 1576, 1643, 4446, 29754, 2800, 181, 1854, 1199, 1188, 4861, 12874, 6190, 1200, 1259, 4780, 13329, 1197, 5038, 1625, 1104, 1999, 15973, 1199, 1188, 1158, 13677, 26839, 19619, 1318, 2067, 1897, 6157, 1288, 8141, 1370, 8563, 5863, 1174, 1193, 3740, 2011, 6181, 7009, 181, 1180, 6574, 12359, 30973, 119, 488, 124, 130, 131, 131, 121, 2502, 6216, 1245, 3042, 1188, 1158, 1169, 3603, 26518, 3441, 3157, 1214, 1125, 1204, 6991, 1126, 1377, 5288, 3441, 1373, 183, 11772, 1175, 124, 130, 127, 127, 120, 124, 131, 124, 131, 1496, 1170, 7238, 7546, 3847, 3855, 2442, 2914, 1299, 14268, 1188, 1158, 2107, 121, 1768, 7354, 3458, 4092, 1408, 7959, 1170, 12304, 31789, 1125, 1158, 28139, 26518, 1723, 2072, 1594, 24599, 121, 106, 106, 1686, 488, 124, 131, 123, 124, 119, 1527, 23166, 1286, 1125, 1158, 13397, 16795, 1125, 1594, 1675, 2433, 1170, 28067, 1202, 1422, 2322, 1762, 1167, 7546, 1105, 14164, 3534, 3458, 4092, 1408, 14429, 1186, 488, 124, 131, 123, 128, 119, 1170, 2678, 1125, 1594, 17299, 1192, 8619, 10116, 1161, 1135, 18136, 1972, 1161, 1200, 6883, 241, 6637, 1653, 488, 124, 131, 123, 132, 119, 15570, 11427, 1125, 1158, 16619, 1271, 31185, 4083, 1309, 7546, 1105, 3233, 18242, 1909, 8700, 1317, 5206, 184, 1554, 1213, 15729, 121, 106, 106, 5164, 1844, 1215, 4545, 1197, 3760, 1125, 6325, 2252, 1313, 1207, 14590, 3360, 1813, 1125, 1594, 2658, 1856, 14916, 4897, 5649, 1161, 1135, 11801, 9168, 1161, 28272, 18200, 1161, 9485, 1362, 1410, 9485, 14916, 1171, 2708, 18776, 5643, 3850, 106, 106, 158, 1105, 9159, 19859, 1186, 488, 124, 131, 124, 129, 3155, 2014, 244, 1125, 1125, 31522, 3997, 488, 125, 123, 488, 123, 123, 123, 2166, 3356, 1346, 1309, 1594, 8658, 11533, 1186, 488, 124, 131, 125, 130, 121, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 488, 4172, 1192, 7490, 2333, 6721, 1192, 7072, 28988, 1173, 26917, 1161, 1135, 1200, 1230, 7451, 9605, 7546, 2114, 3341, 16434, 133, 8354, 1355, 1151, 11297, 1149, 4020, 13925, 1161, 1135, 9168, 1161, 28272, 2189, 6963, 10290, 1171, 4172, 19961, 16030, 183, 4834, 31282, 488, 124, 131, 126, 131, 1257, 8906, 1139, 1416, 13034, 3725, 7205, 8976, 1300, 4644, 26144, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 106, 488, 106, 106, 141, 1190, 1119, 2038, 14898, 1227, 26851, 6298, 106, 152, 1740, 1168, 1109, 14898, 1227, 26851, 6298, 106, 224, 24116, 1227, 18637, 1361, 9168, 14091, 195, 7362, 116, 106, 8857, 1829, 1125, 1158, 11801, 13309, 106, 8857, 1829, 1125, 1158, 12418, 1245, 1119, 13309, 1161, 9485, 106, 153, 3400, 1186, 2749, 488, 124, 130, 130, 127, 106, 153, 3400, 1188, 1173, 1790, 25287, 6700, 1487, 6630, 4917, 9630, 106, 31133, 1467, 1186, 2829, 488, 124, 131, 126, 128, 106, 31133, 1467, 1188, 20024, 106, 31133, 1467, 1188, 488, 129, 124, 8793, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 162, 28283, 9605, 7546, 1105, 1299, 1189, 12304, 1167, 1189, 15503, 8765, 11181, 3725, 5252, 1170, 488, 126, 2749, 488, 124, 130, 130, 127, 1188, 1173, 1790, 25287, 1167, 4541, 1170, 488, 125, 128, 2829, 488, 124, 131, 126, 128, 1188, 15133, 24669, 1297, 106, 106, 141, 11741, 488, 106, 158, 1105, 9159, 1299, 1189, 15069, 1125, 10836, 14238, 3502, 10560, 4587, 244, 2205, 15906, 1215, 1158, 18084, 1188, 8826, 2165, 1527, 20116, 1112, 30167, 1227, 5131, 1356, 1274, 10036, 1248, 1480, 1706, 1175, 124, 130, 128, 129, 120, 124, 131, 127, 123, 1576, 1768, 6666, 11108, 8179, 1306, 1128, 1512, 1824, 1175, 124, 130, 129, 128, 120, 124, 131, 127, 130, 1496, 12905, 11347, 12001, 1469, 6640, 1527, 1139, 1118, 2960, 1318, 1675, 10190, 1357, 2138, 2960, 2797, 1964, 16246, 3855, 4855, 1188, 2435, 1309, 7546, 1105, 6666, 1170, 28067, 10290, 1202, 1422, 2322, 196, 1175, 124, 130, 126, 123, 120, 124, 131, 123, 124, 1496, 1357, 1170, 22914, 2240, 19968, 1265, 6820, 19028, 1283, 14863, 1313, 1207, 28024, 1256, 8753, 6325, 4537, 106, 106, 5164, 1835, 1317, 18637, 1361, 9168, 19858, 195, 7362, 1186, 2921, 488, 124, 130, 132, 123, 121, 1768, 8295, 3042, 1207, 3285, 1197, 13677, 1119, 4195, 1192, 3340, 1707, 14296, 1347, 22730, 1494, 1175, 124, 130, 129, 124, 120, 124, 131, 127, 125, 116, 1167, 4172, 1173, 1456, 1276, 14552, 1175, 124, 130, 128, 131, 120, 124, 130, 132, 129, 116, 1167, 7354, 17263, 9965, 1125, 1440, 4755, 121, 1768, 9978, 2983, 2818, 7542, 1909, 2067, 6042, 12182, 1357, 29997, 1188, 1173, 1456, 1276, 14552, 1125, 1982, 1215, 4545, 1561, 7529, 172, 6410, 1168, 2036, 106, 106, 152, 23755, 7354, 6711, 1125, 1158, 7676, 1115, 6883, 244, 2794, 1125, 20024, 1170, 488, 126, 2749, 488, 124, 130, 132, 128, 1188, 5125, 488, 125, 124, 8793, 1768, 1251, 1139, 15167, 1318, 6127, 9305, 10190, 1469, 1170, 13677, 1119, 2038, 18988, 8590, 19961, 11040, 1175, 124, 130, 128, 132, 120, 124, 131, 125, 131, 1576, 1768, 1999, 25537, 1571, 12271, 1292, 1741, 1167, 2465, 13274, 1300, 1440, 3499, 2914, 5004, 1561, 3453, 4882, 1313, 1207, 9011, 8998, 1274, 1153, 1125, 1158, 7676, 10453, 2076, 1125, 1594, 30035, 121, 25066, 4112, 2934, 27849, 1125, 1906, 4864, 119, 3295, 1300, 1207, 1127, 1815, 1153, 1485, 2981, 1785, 1362, 20283, 22094, 1768, 1999, 25537, 2072, 1188, 10722, 1167, 1299, 6303, 1197, 7790, 1188, 5518, 1318, 11666, 14061, 1125, 22946, 5966, 17659, 106, 106, 4298, 2768, 1594, 3694, 1125, 28067, 1186, 16619, 8776, 4353, 1527, 1835, 1317, 5206, 184, 1554, 1213, 15729, 2290, 1158, 4595, 1125, 18988, 23479, 1165, 1766, 1337, 1105, 1175, 124, 130, 129, 126, 120, 124, 131, 128, 129, 1576, 1643, 4446, 29754, 2800, 181, 1854, 1199, 1188, 4861, 12874, 6190, 1200, 1259, 4780, 13329, 1197, 5038, 1625, 1104, 1999, 15973, 1199, 1188, 1158, 13677, 26839, 19619, 1318, 2067, 1897, 6157, 1288, 8141, 1370, 8563, 5863, 1174, 1193, 3740, 2011, 6181, 7009, 181, 1180, 6574, 12359, 30973, 119, 488, 124, 130, 131, 131, 121, 2502, 6216, 1245, 3042, 1188, 1158, 1169, 3603, 26518, 3441, 3157, 1214, 1125, 1204, 6991, 1126, 1377, 5288, 3441, 1373, 183, 11772, 1175, 124, 130, 127, 127, 120, 124, 131, 124, 131, 1496, 1170, 7238, 7546, 3847, 3855, 2442, 2914, 1299, 14268, 1188, 1158, 2107, 121, 1768, 7354, 3458, 4092, 1408, 7959, 1170, 12304, 31789, 1125, 1158, 28139, 26518, 1723, 2072, 1594, 24599, 121, 106, 106, 1686, 488, 124, 131, 123, 124, 119, 1527, 23166, 1286, 1125, 1158, 13397, 16795, 1125, 1594, 1675, 2433, 1170, 28067, 1202, 1422, 2322, 1762, 1167, 7546, 1105, 14164, 3534, 3458, 4092, 1408, 14429, 1186, 488, 124, 131, 123, 128, 119, 1170, 2678, 1125, 1594, 17299, 1192, 8619, 10116, 1161, 1135, 18136, 1972, 1161, 1200, 6883, 241, 6637, 1653, 488, 124, 131, 123, 132, 119, 15570, 11427, 1125, 1158, 16619, 1271, 31185, 4083, 1309, 7546, 1105, 3233, 18242, 1909, 8700, 1317, 5206, 184, 1554, 1213, 15729, 121, 106, 106, 5164, 1844, 1215, 4545, 1197, 3760, 1125, 6325, 2252, 1313, 1207, 14590, 3360, 1813, 1125, 1594, 2658, 1856, 14916, 4897, 5649, 1161, 1135, 11801, 9168, 1161, 28272, 18200, 1161, 9485, 1362, 1410, 9485, 14916, 1171, 2708, 18776, 5643, 3850, 106, 106, 158, 1105, 9159, 19859, 1186, 488, 124, 131, 124, 129, 3155, 2014, 244, 1125, 1125, 31522, 3997, 488, 125, 123, 488, 123, 123, 123, 2166, 3356, 1346, 1309, 1594, 8658, 11533, 1186, 488, 124, 131, 125, 130, 121, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 488, 4172, 1192, 7490, 2333, 6721, 1192, 7072, 28988, 1173, 26917, 1161, 1135, 1200, 1230, 7451, 9605, 7546, 2114, 3341, 16434, 133, 8354, 1355, 1151, 11297, 1149, 4020, 13925, 1161, 1135, 9168, 1161, 28272, 2189, 6963, 10290, 1171, 4172, 19961, 16030, 183, 4834, 31282, 488, 124, 131, 126, 131, 1257, 8906, 1139, 1416, 13034, 3725, 7205, 8976, 1300, 4644, 26144, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 106, 488, 106, 106, 141, 1190, 1119, 2038, 14898, 1227, 26851, 6298, 106, 152, 1740, 1168, 1109, 14898, 1227, 26851, 6298, 106, 224, 24116, 1227, 18637, 1361, 9168, 14091, 195, 7362, 116, 106, 8857, 1829, 1125, 1158, 11801, 13309, 106, 8857, 1829, 1125, 1158, 12418, 1245, 1119, 13309, 1161, 9485, 106, 153, 3400, 1186, 2749, 488, 124, 130, 130, 127, 106, 153, 3400, 1188, 1173, 1790, 25287, 6700, 1487, 6630, 4917, 9630, 106, 31133, 1467, 1186, 2829, 488, 124, 131, 126, 128, 106, 31133, 1467, 1188, 20024, 106, 31133, 1467, 1188, 488, 129, 124, 8793, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 158, 1119, 6293, 4384, 1239, 1135, 18143, 2220, 1161, 13811, 6293, 4537, 106, 106, 3956, 3501, 106, 158, 1119, 6293, 4384, 1526, 1280, 3218, 1147, 1135, 6061, 1161, 5057, 8365, 1147, 23569, 1329, 1165, 1500, 5245, 133, 106, 120, 2571, 189, 5834, 6284, 8991, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 22421, 1174, 186, 1147, 1135, 1200, 3622, 1379, 196, 6054, 134, 106, 120, 1233, 2601, 186, 6284, 8991, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 2068, 1224, 1265, 13112, 1147, 1135, 1202, 2295, 14086, 6054, 134, 106, 120, 8830, 186, 6284, 8991, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 28971, 8582, 1147, 1135, 14481, 27268, 6054, 134, 106, 120, 1165, 9344, 9143, 6284, 8991, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1233, 1312, 174, 1575, 1147, 1135, 1200, 3622, 1379, 196, 6054, 134, 106, 120, 2908, 6284, 8991, 2086, 18143, 22903, 2178, 1161, 1135, 7389, 3258, 1161, 1252, 10459, 2172, 8431, 27529, 1147, 1135, 10660, 1161, 11539, 2964, 2086, 1147, 1135, 14481, 27268, 6054, 134, 106, 120, 1252, 5834, 6284, 8991, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1539, 1214, 1117, 1147, 1192, 2266, 14282, 186, 134, 106, 120, 24264, 6284, 8991, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 5807, 1107, 1514, 1147, 1135, 1918, 1512, 6054, 134, 106, 120, 6284, 6293, 4384, 2068, 177, 1374, 2433, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 3187, 1117, 1147, 1135, 1202, 2295, 14086, 6054, 134, 106, 120, 6284, 6293, 4384, 1294, 13599, 14456, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1202, 1404, 1108, 1438, 1147, 1135, 7204, 1203, 180, 6867, 6878, 1575, 10958, 1203, 1575, 6054, 134, 106, 120, 6284, 6293, 4384, 19769, 1105, 2068, 6647, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 6760, 15742, 1147, 1135, 14481, 27268, 6054, 134, 106, 120, 6284, 6293, 4384, 3288, 7887, 1965, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 7311, 1109, 1147, 1135, 1202, 2295, 14086, 6054, 134, 106, 120, 6284, 6293, 4384, 5519, 178, 27597, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 14937, 1108, 7348, 1147, 7092, 1142, 1146, 1514, 134, 106, 120, 6284, 6293, 4384, 1106, 1390, 114, 6016, 3603, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1204, 1199, 8582, 1147, 1200, 3622, 1379, 196, 134, 106, 120, 6284, 6293, 4384, 3981, 19785, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1165, 3049, 15742, 1147, 1200, 3622, 1379, 196, 134, 106, 120, 6284, 6293, 4384, 2172, 1252, 3929, 1810, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 17488, 1108, 7348, 1147, 5863, 1219, 13112, 134, 106, 120, 6284, 3046, 15933, 3589, 1331, 4101, 1190, 1810, 1165, 1500, 16925, 7130, 8452, 1147, 1135, 7389, 3258, 1161, 1135, 2994, 2220, 134, 106, 120, 6284, 6293, 4384, 2172, 14436, 1436, 2433, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 28971, 8582, 1147, 1135, 14481, 27268, 6054, 134, 106, 120, 6284, 6293, 4384, 2172, 1198, 2733, 2323, 1651, 1810, 18143, 22903, 2178, 1161, 1135, 7389, 3258, 1161, 1198, 2733, 2323, 15876, 1147, 1135, 10660, 1161, 1863, 3514, 2504, 5863, 1219, 13112, 134, 106, 120, 6284, 6293, 4384, 2172, 1352, 2322, 5043, 1965, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1248, 1651, 27529, 1147, 1135, 14481, 27268, 6054, 134, 106, 120, 6284, 6293, 4384, 1147, 14729, 4741, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 17089, 197, 7497, 1147, 1135, 1198, 2089, 1109, 3589, 3681, 1845, 2571, 7009, 6054, 134, 106, 120, 6284, 6293, 4384, 1147, 10560, 29383, 1810, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 17089, 197, 7497, 1147, 1135, 1198, 2089, 1109, 3589, 3681, 1845, 2571, 7009, 6054, 134, 106, 120, 6284, 6293, 4384, 1147, 1202, 1462, 1142, 3366, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 8830, 1383, 1322, 186, 1147, 17561, 1439, 134, 106, 120, 6284, 6293, 4384, 1147, 1248, 27520, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1863, 3514, 2504, 4633, 1142, 1575, 1147, 4633, 1142, 1575, 5445, 1137, 2288, 172, 134, 106, 120, 6284, 6293, 4384, 1147, 1753, 9254, 1810, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1200, 25682, 1147, 1200, 3622, 1379, 196, 134, 106, 120, 6284, 6293, 4384, 1173, 1783, 1123, 1810, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1233, 2322, 1672, 186, 1147, 8830, 19128, 134, 106, 120, 6284, 6293, 4384, 1173, 1146, 1437, 26488, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 27157, 1575, 1147, 1200, 3622, 1379, 196, 134, 106, 120, 6284, 6293, 4384, 3621, 27482, 18143, 22903, 2178, 1161, 1135, 7389, 3258, 1161, 26508, 1265, 9177, 1147, 1135, 10660, 1161, 5769, 8270, 1147, 4633, 1142, 1575, 5445, 1137, 2288, 172, 134, 106, 120, 6284, 6293, 4384, 1114, 1770, 172, 1918, 8094, 21367, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 1539, 1214, 1117, 1147, 1192, 2266, 14282, 186, 134, 106, 120, 6284, 6293, 4384, 3728, 1126, 1165, 3595, 21367, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 3942, 1488, 4384, 1147, 8830, 19128, 134, 106, 120, 1352, 1205, 7497, 6284, 8991, 2086, 18143, 7389, 3258, 1147, 1135, 10660, 1161, 22421, 1174, 186, 1147, 1200, 3622, 1379, 2305, 106, 106, 154, 15285, 106, 120, 7071, 1292, 186, 1233, 1462, 2086, 21041, 1161, 1165, 12792, 1175, 124, 131, 124, 123, 120, 124, 131, 130, 129, 1496, 1151, 18143, 4065, 1171, 12809, 2323, 1446, 1135, 488, 124, 132, 1276, 14851, 106, 120, 27982, 6284, 8991, 2086, 1110, 488, 124, 132, 1276, 14851, 1152, 8429, 8452, 1147, 1922, 7447, 119, 1147, 1135, 10660, 1161, 3335, 7348, 1171, 6592, 11769, 1810, 7455, 19087, 1449, 16987, 12984, 9412, 193, 2504, 5763, 13467, 1636, 180, 106, 120, 6284, 8991, 2086, 1151, 18143, 13473, 1107, 7958, 1128, 1659, 1110, 7566, 187, 1156, 186, 22483, 1496, 1161, 1135, 22224, 1150, 31199, 15763, 1147, 488, 124, 132, 125, 123, 1226, 1135, 11801, 18143, 27250, 1175, 6246, 1575, 1918, 3382, 116, 106, 120, 6284, 8991, 2086, 1110, 3396, 1174, 120, 2916, 1395, 1217, 1131, 1738, 1230, 1161, 1135, 5158, 1575, 1918, 21367, 15763, 1147, 488, 124, 131, 129, 126, 32001, 488, 106, 32000, 20036, 106, 158, 1119, 6293, 4384, 1299, 1170, 1874, 17779, 1125, 13811, 6293, 4537, 106, 106, 151, 2636, 488, 106, 158, 1119, 6293, 4384, 1281, 11083, 1313, 1170, 1874, 1125, 3171, 8936, 1186, 20375, 1362, 1186, 28432, 1257, 106, 2571, 189, 5834, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 22421, 1344, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 1233, 2601, 186, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 5519, 2643, 1265, 2348, 1313, 1158, 3734, 16867, 2035, 1258, 2040, 106, 8830, 186, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 28971, 15167, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 1165, 9344, 9143, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1233, 1312, 174, 1575, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 2908, 6284, 8991, 2086, 1166, 1344, 1334, 17779, 1125, 1158, 4813, 1125, 1252, 10459, 2172, 8431, 27529, 1313, 1158, 10660, 1125, 1198, 1568, 193, 8222, 1186, 3734, 1352, 30629, 4094, 2040, 106, 1252, 5834, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1539, 1214, 1117, 1313, 1207, 1192, 2266, 14282, 1104, 2040, 106, 24264, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 5807, 1107, 1514, 1313, 1158, 3734, 1197, 1918, 2942, 2040, 106, 6284, 6293, 4384, 2068, 177, 1374, 2433, 4813, 25339, 1125, 1158, 10660, 1304, 4282, 1117, 1313, 1158, 3734, 16867, 2035, 1258, 2040, 106, 6284, 6293, 4384, 1294, 13599, 14456, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1202, 1404, 1108, 1438, 1313, 1158, 3734, 7204, 2610, 6867, 30629, 4094, 1225, 1203, 3556, 2040, 106, 6284, 6293, 4384, 19769, 1105, 2068, 6647, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1352, 1356, 1438, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 6284, 6293, 4384, 3288, 7887, 1965, 4813, 25339, 1125, 1158, 10660, 1125, 7311, 1109, 1313, 1158, 3734, 16867, 2035, 1258, 2040, 106, 6284, 6293, 4384, 5519, 178, 27597, 4813, 25339, 1125, 1158, 10660, 1125, 14937, 1108, 7348, 1313, 1158, 3734, 7092, 1142, 15161, 2040, 106, 6284, 6293, 4384, 1106, 1390, 114, 6016, 3603, 4813, 25339, 1125, 1158, 10660, 1125, 1204, 1199, 15167, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 3981, 19785, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 7699, 184, 1438, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 2172, 1252, 3929, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 17488, 1108, 7348, 1313, 1158, 3734, 5863, 1219, 1112, 2040, 106, 6284, 3046, 15933, 3589, 1331, 4101, 1190, 1810, 7130, 1947, 1206, 8446, 1313, 1158, 4813, 1227, 2076, 1874, 2040, 106, 6284, 6293, 4384, 2172, 14436, 1436, 2433, 4813, 25339, 1125, 1158, 10660, 1125, 28971, 15167, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 6284, 6293, 4384, 2172, 1198, 2733, 2323, 1651, 1810, 1166, 1344, 1334, 17779, 1125, 1158, 4813, 1125, 1198, 2733, 2323, 15876, 1313, 1158, 10660, 1125, 1863, 3514, 2504, 1125, 5863, 1219, 1112, 2040, 106, 6284, 6293, 4384, 2172, 1352, 2322, 5043, 1965, 4813, 25339, 1125, 1158, 10660, 1125, 1248, 1651, 27529, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 6284, 6293, 4384, 1147, 14729, 4741, 4813, 25339, 1125, 1158, 10660, 1125, 17089, 197, 7497, 1313, 1158, 3734, 1198, 2089, 1109, 7002, 1511, 4379, 175, 7009, 2040, 106, 6284, 6293, 4384, 1147, 10560, 29383, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 17089, 197, 7497, 1313, 1158, 3734, 1198, 2089, 1109, 7002, 1511, 4379, 175, 7009, 2040, 106, 6284, 6293, 4384, 1147, 1202, 1462, 1142, 3366, 4813, 25339, 1125, 1158, 10660, 1125, 8830, 1383, 1322, 186, 1313, 1158, 3734, 17561, 1439, 2040, 106, 6284, 6293, 4384, 1147, 1248, 27520, 4813, 25339, 1125, 1158, 10660, 1125, 1863, 3514, 2504, 24334, 184, 23398, 1313, 1158, 3734, 2605, 184, 23398, 5445, 1137, 2818, 2040, 106, 6284, 6293, 4384, 1147, 1753, 9254, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 1200, 25682, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 1173, 1783, 1123, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 22242, 244, 1672, 1313, 1158, 3734, 8830, 7778, 2040, 106, 6284, 6293, 4384, 1173, 1146, 1437, 26488, 4813, 25339, 1125, 1158, 10660, 1125, 27157, 1214, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 3621, 27482, 1166, 1344, 1334, 17779, 1125, 1158, 4813, 1125, 26508, 1265, 9177, 1313, 1158, 10660, 1125, 5769, 3333, 1186, 2605, 184, 23398, 5445, 1137, 2818, 2040, 106, 6284, 6293, 4384, 1114, 1770, 172, 1918, 8094, 21367, 4813, 25339, 1125, 1158, 10660, 1125, 1539, 1214, 1117, 1313, 1158, 3734, 1192, 2266, 14282, 1104, 2040, 106, 6284, 6293, 4384, 3728, 1126, 1165, 3595, 21367, 4813, 25339, 1125, 1158, 10660, 5519, 193, 1488, 4384, 1313, 1158, 3734, 8830, 7778, 2040, 106, 1352, 1205, 7497, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 22421, 1344, 1313, 1158, 3734, 1200, 3622, 1379, 4654, 106, 106, 27884, 488, 106, 7071, 1292, 186, 1233, 1462, 2086, 23366, 1125, 1165, 12792, 1175, 124, 131, 124, 123, 120, 124, 131, 130, 129, 1496, 1189, 23366, 1167, 5598, 3657, 17779, 1227, 488, 124, 132, 2247, 6298, 106, 27982, 6284, 8991, 2086, 1318, 1152, 8429, 1227, 488, 124, 132, 2247, 19565, 10019, 1188, 1922, 7447, 119, 1313, 1158, 10660, 1125, 3335, 7348, 1167, 1125, 1158, 6592, 11769, 1810, 11041, 9855, 1227, 10079, 1227, 4921, 9412, 193, 2504, 5763, 13467, 1636, 180, 106, 6284, 8991, 2086, 1189, 13473, 1107, 5007, 1660, 119, 1408, 14429, 1189, 7566, 187, 18496, 116, 9320, 11493, 1125, 1158, 5971, 22224, 19074, 17034, 1186, 488, 124, 132, 125, 123, 1256, 1158, 18102, 29754, 25339, 7216, 17779, 1257, 5158, 1575, 1918, 3382, 116, 106, 6284, 8991, 2086, 1318, 1360, 1603, 1230, 1188, 25984, 17766, 29413, 1125, 1158, 5158, 1575, 1918, 21367, 17034, 1186, 488, 124, 131, 129, 126, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 1119, 6293, 4384, 1299, 1170, 1874, 17779, 1125, 13811, 6293, 4537, 106, 106, 151, 2636, 488, 106, 158, 1119, 6293, 4384, 1281, 11083, 1313, 1170, 1874, 1125, 3171, 8936, 1186, 20375, 1362, 1186, 28432, 1257, 106, 2571, 189, 5834, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 22421, 1344, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 1233, 2601, 186, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 5519, 2643, 1265, 2348, 1313, 1158, 3734, 16867, 2035, 1258, 2040, 106, 8830, 186, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 28971, 15167, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 1165, 9344, 9143, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1233, 1312, 174, 1575, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 2908, 6284, 8991, 2086, 1166, 1344, 1334, 17779, 1125, 1158, 4813, 1125, 1252, 10459, 2172, 8431, 27529, 1313, 1158, 10660, 1125, 1198, 1568, 193, 8222, 1186, 3734, 1352, 30629, 4094, 2040, 106, 1252, 5834, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1539, 1214, 1117, 1313, 1207, 1192, 2266, 14282, 1104, 2040, 106, 24264, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 5807, 1107, 1514, 1313, 1158, 3734, 1197, 1918, 2942, 2040, 106, 6284, 6293, 4384, 2068, 177, 1374, 2433, 4813, 25339, 1125, 1158, 10660, 1304, 4282, 1117, 1313, 1158, 3734, 16867, 2035, 1258, 2040, 106, 6284, 6293, 4384, 1294, 13599, 14456, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1202, 1404, 1108, 1438, 1313, 1158, 3734, 7204, 2610, 6867, 30629, 4094, 1225, 1203, 3556, 2040, 106, 6284, 6293, 4384, 19769, 1105, 2068, 6647, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 1352, 1356, 1438, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 6284, 6293, 4384, 3288, 7887, 1965, 4813, 25339, 1125, 1158, 10660, 1125, 7311, 1109, 1313, 1158, 3734, 16867, 2035, 1258, 2040, 106, 6284, 6293, 4384, 5519, 178, 27597, 4813, 25339, 1125, 1158, 10660, 1125, 14937, 1108, 7348, 1313, 1158, 3734, 7092, 1142, 15161, 2040, 106, 6284, 6293, 4384, 1106, 1390, 114, 6016, 3603, 4813, 25339, 1125, 1158, 10660, 1125, 1204, 1199, 15167, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 3981, 19785, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 7699, 184, 1438, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 2172, 1252, 3929, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 17488, 1108, 7348, 1313, 1158, 3734, 5863, 1219, 1112, 2040, 106, 6284, 3046, 15933, 3589, 1331, 4101, 1190, 1810, 7130, 1947, 1206, 8446, 1313, 1158, 4813, 1227, 2076, 1874, 2040, 106, 6284, 6293, 4384, 2172, 14436, 1436, 2433, 4813, 25339, 1125, 1158, 10660, 1125, 28971, 15167, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 6284, 6293, 4384, 2172, 1198, 2733, 2323, 1651, 1810, 1166, 1344, 1334, 17779, 1125, 1158, 4813, 1125, 1198, 2733, 2323, 15876, 1313, 1158, 10660, 1125, 1863, 3514, 2504, 1125, 5863, 1219, 1112, 2040, 106, 6284, 6293, 4384, 2172, 1352, 2322, 5043, 1965, 4813, 25339, 1125, 1158, 10660, 1125, 1248, 1651, 27529, 1313, 1158, 3734, 1352, 30629, 4094, 2040, 106, 6284, 6293, 4384, 1147, 14729, 4741, 4813, 25339, 1125, 1158, 10660, 1125, 17089, 197, 7497, 1313, 1158, 3734, 1198, 2089, 1109, 7002, 1511, 4379, 175, 7009, 2040, 106, 6284, 6293, 4384, 1147, 10560, 29383, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 17089, 197, 7497, 1313, 1158, 3734, 1198, 2089, 1109, 7002, 1511, 4379, 175, 7009, 2040, 106, 6284, 6293, 4384, 1147, 1202, 1462, 1142, 3366, 4813, 25339, 1125, 1158, 10660, 1125, 8830, 1383, 1322, 186, 1313, 1158, 3734, 17561, 1439, 2040, 106, 6284, 6293, 4384, 1147, 1248, 27520, 4813, 25339, 1125, 1158, 10660, 1125, 1863, 3514, 2504, 24334, 184, 23398, 1313, 1158, 3734, 2605, 184, 23398, 5445, 1137, 2818, 2040, 106, 6284, 6293, 4384, 1147, 1753, 9254, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 1200, 25682, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 1173, 1783, 1123, 1810, 4813, 25339, 1125, 1158, 10660, 1125, 22242, 244, 1672, 1313, 1158, 3734, 8830, 7778, 2040, 106, 6284, 6293, 4384, 1173, 1146, 1437, 26488, 4813, 25339, 1125, 1158, 10660, 1125, 27157, 1214, 1313, 1158, 3734, 1200, 3622, 1379, 1214, 2040, 106, 6284, 6293, 4384, 3621, 27482, 1166, 1344, 1334, 17779, 1125, 1158, 4813, 1125, 26508, 1265, 9177, 1313, 1158, 10660, 1125, 5769, 3333, 1186, 2605, 184, 23398, 5445, 1137, 2818, 2040, 106, 6284, 6293, 4384, 1114, 1770, 172, 1918, 8094, 21367, 4813, 25339, 1125, 1158, 10660, 1125, 1539, 1214, 1117, 1313, 1158, 3734, 1192, 2266, 14282, 1104, 2040, 106, 6284, 6293, 4384, 3728, 1126, 1165, 3595, 21367, 4813, 25339, 1125, 1158, 10660, 5519, 193, 1488, 4384, 1313, 1158, 3734, 8830, 7778, 2040, 106, 1352, 1205, 7497, 6284, 8991, 2086, 4813, 25339, 1125, 1158, 10660, 1125, 22421, 1344, 1313, 1158, 3734, 1200, 3622, 1379, 4654, 106, 106, 27884, 488, 106, 7071, 1292, 186, 1233, 1462, 2086, 23366, 1125, 1165, 12792, 1175, 124, 131, 124, 123, 120, 124, 131, 130, 129, 1496, 1189, 23366, 1167, 5598, 3657, 17779, 1227, 488, 124, 132, 2247, 6298, 106, 27982, 6284, 8991, 2086, 1318, 1152, 8429, 1227, 488, 124, 132, 2247, 19565, 10019, 1188, 1922, 7447, 119, 1313, 1158, 10660, 1125, 3335, 7348, 1167, 1125, 1158, 6592, 11769, 1810, 11041, 9855, 1227, 10079, 1227, 4921, 9412, 193, 2504, 5763, 13467, 1636, 180, 106, 6284, 8991, 2086, 1189, 13473, 1107, 5007, 1660, 119, 1408, 14429, 1189, 7566, 187, 18496, 116, 9320, 11493, 1125, 1158, 5971, 22224, 19074, 17034, 1186, 488, 124, 132, 125, 123, 1256, 1158, 18102, 29754, 25339, 7216, 17779, 1257, 5158, 1575, 1918, 3382, 116, 106, 6284, 8991, 2086, 1318, 1360, 1603, 1230, 1188, 25984, 17766, 29413, 1125, 1158, 5158, 1575, 1918, 21367, 17034, 1186, 488, 124, 131, 129, 126, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 142, 1567, 5910, 488, 125, 123, 124, 125, 119, 1170, 16277, 1125, 2315, 1197, 29687, 1104, 21570, 1318, 3643, 1127, 14477, 1170, 29687, 176, 1197, 1352, 1554, 3046, 237, 1636, 119, 1186, 17647, 1227, 1248, 1641, 176, 1125, 2315, 1703, 5623, 4966, 1357, 8246, 6146, 1734, 1527, 2377, 1370, 1313, 1282, 11483, 1125, 1158, 1127, 3383, 5964, 1227, 16277, 1227, 15153, 4511, 1910, 12643, 5969, 3419, 9196, 1227, 2382, 1274, 20575, 3557, 3295, 1170, 1248, 1641, 176, 1227, 25319, 9871, 1357, 20293, 1170, 16277, 1167, 3557, 1170, 29687, 176, 1227, 20934, 1357, 1170, 21019, 121, 106, 106, 142, 2119, 3699, 20190, 21895, 186, 188, 1357, 1110, 1913, 2352, 1568, 14045, 1125, 2315, 488, 125, 123, 124, 125, 3523, 1207, 29887, 1167, 13784, 1378, 11961, 184, 1678, 3523, 1207, 5235, 1142, 1190, 1457, 1548, 3390, 1173, 1262, 1389, 3944, 1248, 14046, 1323, 1204, 3048, 15584, 18900, 1170, 16277, 1256, 1158, 6311, 5910, 1458, 1416, 7302, 121, 106, 106, 157, 1603, 1692, 1162, 1227, 16277, 106, 161, 16009, 3458, 4153, 12186, 1125, 1158, 18589, 1257, 106, 106, 10188, 2247, 1197, 4153, 1257, 106, 4455, 4153, 1508, 9730, 1234, 1317, 29745, 1167, 1188, 1158, 5971, 3702, 1170, 4367, 6441, 1257, 106, 106, 3732, 7153, 1207, 4593, 8199, 6282, 1508, 11963, 6637, 106, 106, 161, 244, 3741, 3093, 19160, 1257, 106, 106, 4303, 1180, 5585, 1104, 1188, 1158, 18589, 4403, 1186, 3285, 1197, 6969, 1192, 122, 4657, 15621, 5749, 1207, 1325, 157, 7440, 1173, 125, 123, 123, 123, 1167, 1173, 124, 129, 123, 123, 1496, 20497, 1266, 14620, 15675, 22263, 118, 119, 1252, 14620, 125, 123, 123, 123, 1167, 22263, 1125, 1114, 1550, 2596, 1548, 3274, 2397, 1167, 1207, 20420, 2308, 2289, 1508, 19160, 1723, 1288, 2830, 1557, 3393, 1125, 27536, 1808, 1325, 11101, 488, 124, 129, 123, 123, 7311, 3307, 1508, 8363, 1234, 1313, 1158, 5971, 1192, 131, 162, 1357, 6169, 4816, 3042, 2962, 1207, 29631, 1125, 1325, 11101, 121, 106, 106, 158, 20744, 1125, 1736, 31901, 1257, 106, 106, 142, 1567, 13407, 1170, 16277, 13376, 1841, 1186, 15941, 1197, 1736, 31901, 1571, 29687, 1104, 1227, 16277, 1175, 124, 1362, 488, 125, 1576, 6604, 1844, 1125, 1594, 18013, 1313, 1170, 4322, 4587, 3683, 1170, 1248, 1641, 176, 1197, 1352, 1554, 3046, 237, 1636, 1110, 1913, 28313, 2335, 22101, 488, 124, 1667, 1856, 1207, 29687, 1104, 1227, 11276, 120, 7914, 173, 1396, 3123, 1167, 1227, 7346, 1212, 4537, 7255, 1207, 2905, 29687, 1346, 24641, 1170, 1248, 1641, 176, 1227, 25319, 1134, 3174, 1170, 1248, 1641, 176, 1227, 7839, 2683, 3955, 1170, 1248, 1641, 176, 1227, 4304, 3551, 183, 1452, 119, 1170, 10148, 1348, 1164, 1255, 1197, 1165, 244, 1549, 3525, 1167, 1170, 1248, 1641, 176, 1227, 20934, 2004, 1913, 9377, 1234, 2335, 22101, 488, 125, 121, 1808, 4153, 1508, 9730, 1234, 3702, 1158, 2320, 1317, 14408, 1197, 22822, 1317, 16277, 1167, 1357, 1299, 2774, 13424, 7329, 1215, 1170, 22101, 1227, 29687, 2596, 106, 106, 3765, 13976, 1125, 7882, 1257, 106, 6880, 7284, 1197, 15830, 1634, 4716, 1844, 4128, 3683, 1816, 13407, 1440, 4616, 1207, 29887, 22822, 1317, 4322, 4587, 3683, 1317, 1198, 8529, 1303, 19875, 5386, 1167, 1317, 13778, 1125, 6252, 1357, 2368, 1819, 4952, 1258, 1186, 3151, 121, 1808, 2905, 11289, 1610, 2368, 1819, 4952, 1258, 6349, 121, 106, 106, 5330, 1436, 1419, 1257, 106, 106, 157, 1641, 1104, 1125, 1158, 6586, 488, 125, 123, 124, 125, 106, 106, 2809, 14443, 1227, 16277, 106, 106, 27884, 4322, 19754, 5126, 18459, 1300, 1296, 26973, 1148, 488, 106, 159, 8529, 1303, 19875, 5386, 1257, 106, 124, 24242, 1266, 1199, 1130, 106, 2439, 1276, 3994, 17488, 2443, 106, 155, 7643, 182, 7839, 1292, 1379, 106, 106, 2330, 1916, 11249, 1125, 2315, 11724, 1257, 106, 158, 1262, 1389, 3944, 1248, 14046, 1323, 1204, 3048, 15584, 106, 2330, 1992, 1140, 1449, 22263, 125, 148, 1323, 1254, 1150, 2461, 7238, 1804, 106, 125, 26546, 1748, 31149, 13692, 4831, 2326, 1862, 106, 106, 2330, 1916, 11249, 1125, 2315, 1197, 1248, 1641, 1104, 3926, 1273, 1142, 3330, 1257, 106, 124, 13784, 1378, 1293, 5389, 2790, 17146, 7463, 106, 23015, 2466, 4636, 9100, 106, 151, 5834, 1352, 20826, 1592, 2013, 106, 106, 2330, 1916, 11249, 1125, 2315, 27142, 1257, 106, 124, 18526, 8130, 26302, 4311, 13967, 1323, 9147, 1314, 6458, 12500, 159, 106, 7914, 1328, 1204, 11832, 1749, 106, 143, 1174, 1354, 2186, 145, 5981, 106, 106, 159, 8529, 1303, 16109, 1149, 186, 1248, 124, 1257, 106, 124, 8179, 1204, 11832, 1749, 106, 149, 1356, 8130, 26302, 4311, 13967, 106, 6797, 1121, 2323, 1233, 20157, 1868, 6212, 106, 106, 159, 8529, 1303, 16109, 1149, 186, 1248, 125, 1257, 106, 124, 1248, 7656, 30721, 1749, 2235, 106, 151, 26504, 8667, 160, 1802, 1605, 106, 13543, 24079, 1293, 1588, 1588, 106, 106, 161, 1172, 1199, 3795, 5919, 1190, 488, 125, 123, 130, 1257, 106, 124, 1321, 16323, 180, 4360, 6524, 1901, 106, 158, 16299, 2988, 4186, 145, 12383, 161, 1825, 106, 157, 2035, 180, 1321, 2881, 1749, 1592, 106, 106, 125, 123, 124, 125, 106, 157, 1641, 1104, 106, 145, 5762, 29687, 1104, 32001, 488, 106, 32000, 20036, 106, 5318, 1976, 488, 125, 123, 124, 125, 119, 1135, 9197, 29687, 27470, 24402, 1104, 1110, 1624, 7094, 119, 1135, 1248, 1641, 176, 1197, 1352, 1554, 3046, 237, 1636, 119, 12652, 1149, 1135, 1248, 1641, 176, 1125, 2315, 1323, 5623, 4966, 1758, 1239, 12962, 23473, 2849, 1341, 1463, 1147, 1135, 21850, 1161, 1135, 9197, 7094, 1161, 1135, 3018, 27470, 121, 1192, 2640, 1446, 7414, 1970, 1393, 1579, 2017, 6816, 1163, 1135, 2382, 1274, 5567, 1135, 1248, 1641, 176, 1227, 25319, 9871, 3517, 22408, 1135, 27470, 1171, 1135, 1248, 1641, 176, 1227, 20934, 4920, 1104, 5081, 106, 106, 15440, 20190, 21895, 186, 188, 1463, 1116, 7101, 1156, 9197, 14045, 488, 125, 123, 124, 125, 1147, 1135, 20118, 114, 9258, 1171, 13784, 1378, 11961, 184, 1678, 1147, 1135, 1736, 2065, 1164, 2094, 114, 9258, 121, 1410, 1173, 1262, 1389, 3944, 1248, 14046, 1323, 1204, 3048, 15584, 3390, 21751, 1135, 27470, 1226, 1135, 2423, 22298, 11764, 106, 106, 2330, 1916, 13336, 22916, 106, 147, 1371, 1393, 1957, 3217, 4153, 1161, 1135, 22916, 133, 106, 106, 7135, 190, 2935, 133, 106, 7135, 190, 1393, 21302, 1226, 29745, 1171, 1936, 6612, 1163, 1135, 3602, 2935, 133, 106, 106, 17909, 1135, 4593, 3284, 5385, 1393, 3240, 1427, 121, 106, 106, 4650, 5299, 12942, 20287, 133, 106, 106, 142, 2289, 1417, 9121, 1324, 1135, 3224, 12864, 22916, 1161, 8520, 1192, 122, 4657, 23980, 1325, 157, 7440, 1173, 125, 123, 123, 123, 1171, 1173, 124, 129, 123, 123, 1496, 1248, 119, 1266, 14620, 15675, 22263, 118, 119, 1252, 14620, 125, 123, 123, 123, 1171, 4052, 22263, 121, 6506, 2397, 1171, 20420, 2308, 2289, 1393, 26970, 1663, 6056, 8194, 27536, 1325, 11101, 488, 124, 129, 123, 123, 7311, 3307, 16776, 1393, 7869, 1147, 1936, 1192, 131, 162, 1758, 1583, 2491, 6435, 6135, 1543, 2943, 1430, 1161, 1325, 11101, 121, 106, 106, 12899, 15123, 2935, 133, 106, 106, 5318, 8641, 1135, 27470, 6851, 2026, 1449, 9664, 1149, 1736, 31901, 1163, 1135, 27470, 20248, 19493, 1175, 124, 1329, 488, 125, 1576, 1222, 1277, 1163, 2019, 7936, 2127, 1135, 27470, 119, 1135, 1248, 1641, 176, 1197, 1352, 1554, 3046, 237, 1636, 1463, 3397, 1110, 22101, 1161, 488, 124, 119, 1296, 2632, 1296, 1135, 11276, 120, 7914, 173, 1396, 3123, 1171, 7346, 1212, 1109, 20248, 1333, 1457, 3454, 2017, 20248, 1333, 1346, 16490, 1135, 1248, 1641, 176, 1227, 25319, 1134, 3174, 1248, 1641, 176, 1227, 7839, 2683, 3955, 1248, 1641, 176, 1227, 4304, 3551, 183, 1452, 119, 10148, 1348, 1164, 1255, 1197, 1165, 244, 1549, 3525, 1171, 1248, 1641, 176, 1227, 20934, 2025, 3397, 1110, 22101, 1161, 488, 125, 121, 10718, 190, 1393, 21302, 6612, 1163, 1135, 3620, 1147, 1135, 27470, 3452, 1972, 1171, 13424, 2295, 1449, 1135, 29687, 22101, 121, 106, 106, 7930, 1149, 3264, 133, 106, 1598, 9328, 3264, 3026, 7251, 12305, 1413, 8641, 1341, 1583, 1280, 1135, 20118, 15017, 1147, 1135, 27470, 119, 1147, 1135, 19875, 5386, 1198, 8529, 196, 1171, 1147, 1135, 10595, 9850, 15817, 2000, 1583, 2819, 1940, 121, 9453, 30048, 1500, 1583, 2491, 2819, 121, 106, 106, 5330, 1436, 3582, 133, 106, 106, 125, 123, 124, 125, 6062, 20248, 19493, 106, 106, 2330, 1916, 13336, 3452, 1972, 106, 106, 25344, 1296, 1479, 8272, 27470, 3129, 174, 13850, 106, 152, 3352, 5386, 1198, 8529, 23507, 106, 124, 24242, 1266, 1199, 1130, 106, 2439, 1276, 3994, 17488, 2443, 106, 155, 7643, 182, 7839, 1292, 1379, 106, 106, 145, 30206, 11724, 19047, 133, 106, 158, 1262, 1389, 3944, 1248, 14046, 1323, 1204, 3048, 15584, 106, 2330, 1992, 1140, 1449, 22263, 125, 148, 1323, 1254, 1150, 2461, 7238, 1804, 106, 125, 26546, 1748, 31149, 13692, 4831, 2326, 1862, 106, 106, 145, 30206, 1248, 1641, 1165, 3589, 143, 1164, 2094, 19047, 133, 106, 124, 13784, 1378, 1293, 5389, 2790, 17146, 7463, 106, 23015, 2466, 4636, 9100, 106, 151, 5834, 1352, 20826, 1592, 2013, 106, 106, 145, 30206, 27142, 19047, 133, 106, 124, 18526, 8130, 26302, 4311, 13967, 1323, 9147, 1314, 6458, 12500, 159, 106, 7914, 1328, 1204, 11832, 1749, 106, 143, 1174, 1354, 2186, 145, 5981, 106, 106, 159, 17793, 186, 1248, 124, 1198, 8529, 23507, 106, 124, 8179, 1204, 11832, 1749, 106, 149, 1356, 8130, 26302, 4311, 13967, 106, 6797, 1121, 2323, 1233, 20157, 1868, 6212, 106, 106, 159, 17793, 186, 1248, 125, 1198, 8529, 23507, 106, 124, 1248, 7656, 30721, 1749, 2235, 106, 151, 26504, 8667, 160, 1802, 1605, 106, 13543, 24079, 1293, 1588, 1588, 106, 106, 15884, 5919, 1190, 488, 125, 123, 130, 4357, 5205, 13137, 1140, 133, 106, 124, 1321, 16323, 180, 4360, 6524, 1901, 106, 158, 16299, 2988, 4186, 145, 12383, 161, 1825, 106, 157, 2035, 180, 1321, 2881, 1749, 1592, 106, 106, 125, 123, 124, 125, 106, 157, 1132, 19493, 106, 145, 30206, 20248, 19493, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 5318, 1976, 488, 125, 123, 124, 125, 119, 1135, 9197, 29687, 27470, 24402, 1104, 1110, 1624, 7094, 119, 1135, 1248, 1641, 176, 1197, 1352, 1554, 3046, 237, 1636, 119, 12652, 1149, 1135, 1248, 1641, 176, 1125, 2315, 1323, 5623, 4966, 1758, 1239, 12962, 23473, 2849, 1341, 1463, 1147, 1135, 21850, 1161, 1135, 9197, 7094, 1161, 1135, 3018, 27470, 121, 1192, 2640, 1446, 7414, 1970, 1393, 1579, 2017, 6816, 1163, 1135, 2382, 1274, 5567, 1135, 1248, 1641, 176, 1227, 25319, 9871, 3517, 22408, 1135, 27470, 1171, 1135, 1248, 1641, 176, 1227, 20934, 4920, 1104, 5081, 106, 106, 15440, 20190, 21895, 186, 188, 1463, 1116, 7101, 1156, 9197, 14045, 488, 125, 123, 124, 125, 1147, 1135, 20118, 114, 9258, 1171, 13784, 1378, 11961, 184, 1678, 1147, 1135, 1736, 2065, 1164, 2094, 114, 9258, 121, 1410, 1173, 1262, 1389, 3944, 1248, 14046, 1323, 1204, 3048, 15584, 3390, 21751, 1135, 27470, 1226, 1135, 2423, 22298, 11764, 106, 106, 2330, 1916, 13336, 22916, 106, 147, 1371, 1393, 1957, 3217, 4153, 1161, 1135, 22916, 133, 106, 106, 7135, 190, 2935, 133, 106, 7135, 190, 1393, 21302, 1226, 29745, 1171, 1936, 6612, 1163, 1135, 3602, 2935, 133, 106, 106, 17909, 1135, 4593, 3284, 5385, 1393, 3240, 1427, 121, 106, 106, 4650, 5299, 12942, 20287, 133, 106, 106, 142, 2289, 1417, 9121, 1324, 1135, 3224, 12864, 22916, 1161, 8520, 1192, 122, 4657, 23980, 1325, 157, 7440, 1173, 125, 123, 123, 123, 1171, 1173, 124, 129, 123, 123, 1496, 1248, 119, 1266, 14620, 15675, 22263, 118, 119, 1252, 14620, 125, 123, 123, 123, 1171, 4052, 22263, 121, 6506, 2397, 1171, 20420, 2308, 2289, 1393, 26970, 1663, 6056, 8194, 27536, 1325, 11101, 488, 124, 129, 123, 123, 7311, 3307, 16776, 1393, 7869, 1147, 1936, 1192, 131, 162, 1758, 1583, 2491, 6435, 6135, 1543, 2943, 1430, 1161, 1325, 11101, 121, 106, 106, 12899, 15123, 2935, 133, 106, 106, 5318, 8641, 1135, 27470, 6851, 2026, 1449, 9664, 1149, 1736, 31901, 1163, 1135, 27470, 20248, 19493, 1175, 124, 1329, 488, 125, 1576, 1222, 1277, 1163, 2019, 7936, 2127, 1135, 27470, 119, 1135, 1248, 1641, 176, 1197, 1352, 1554, 3046, 237, 1636, 1463, 3397, 1110, 22101, 1161, 488, 124, 119, 1296, 2632, 1296, 1135, 11276, 120, 7914, 173, 1396, 3123, 1171, 7346, 1212, 1109, 20248, 1333, 1457, 3454, 2017, 20248, 1333, 1346, 16490, 1135, 1248, 1641, 176, 1227, 25319, 1134, 3174, 1248, 1641, 176, 1227, 7839, 2683, 3955, 1248, 1641, 176, 1227, 4304, 3551, 183, 1452, 119, 10148, 1348, 1164, 1255, 1197, 1165, 244, 1549, 3525, 1171, 1248, 1641, 176, 1227, 20934, 2025, 3397, 1110, 22101, 1161, 488, 125, 121, 10718, 190, 1393, 21302, 6612, 1163, 1135, 3620, 1147, 1135, 27470, 3452, 1972, 1171, 13424, 2295, 1449, 1135, 29687, 22101, 121, 106, 106, 7930, 1149, 3264, 133, 106, 1598, 9328, 3264, 3026, 7251, 12305, 1413, 8641, 1341, 1583, 1280, 1135, 20118, 15017, 1147, 1135, 27470, 119, 1147, 1135, 19875, 5386, 1198, 8529, 196, 1171, 1147, 1135, 10595, 9850, 15817, 2000, 1583, 2819, 1940, 121, 9453, 30048, 1500, 1583, 2491, 2819, 121, 106, 106, 5330, 1436, 3582, 133, 106, 106, 125, 123, 124, 125, 6062, 20248, 19493, 106, 106, 2330, 1916, 13336, 3452, 1972, 106, 106, 25344, 1296, 1479, 8272, 27470, 3129, 174, 13850, 106, 152, 3352, 5386, 1198, 8529, 23507, 106, 124, 24242, 1266, 1199, 1130, 106, 2439, 1276, 3994, 17488, 2443, 106, 155, 7643, 182, 7839, 1292, 1379, 106, 106, 145, 30206, 11724, 19047, 133, 106, 158, 1262, 1389, 3944, 1248, 14046, 1323, 1204, 3048, 15584, 106, 2330, 1992, 1140, 1449, 22263, 125, 148, 1323, 1254, 1150, 2461, 7238, 1804, 106, 125, 26546, 1748, 31149, 13692, 4831, 2326, 1862, 106, 106, 145, 30206, 1248, 1641, 1165, 3589, 143, 1164, 2094, 19047, 133, 106, 124, 13784, 1378, 1293, 5389, 2790, 17146, 7463, 106, 23015, 2466, 4636, 9100, 106, 151, 5834, 1352, 20826, 1592, 2013, 106, 106, 145, 30206, 27142, 19047, 133, 106, 124, 18526, 8130, 26302, 4311, 13967, 1323, 9147, 1314, 6458, 12500, 159, 106, 7914, 1328, 1204, 11832, 1749, 106, 143, 1174, 1354, 2186, 145, 5981, 106, 106, 159, 17793, 186, 1248, 124, 1198, 8529, 23507, 106, 124, 8179, 1204, 11832, 1749, 106, 149, 1356, 8130, 26302, 4311, 13967, 106, 6797, 1121, 2323, 1233, 20157, 1868, 6212, 106, 106, 159, 17793, 186, 1248, 125, 1198, 8529, 23507, 106, 124, 1248, 7656, 30721, 1749, 2235, 106, 151, 26504, 8667, 160, 1802, 1605, 106, 13543, 24079, 1293, 1588, 1588, 106, 106, 15884, 5919, 1190, 488, 125, 123, 130, 4357, 5205, 13137, 1140, 133, 106, 124, 1321, 16323, 180, 4360, 6524, 1901, 106, 158, 16299, 2988, 4186, 145, 12383, 161, 1825, 106, 157, 2035, 180, 1321, 2881, 1749, 1592, 106, 106, 125, 123, 124, 125, 106, 157, 1132, 19493, 106, 145, 30206, 20248, 19493, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 147, 29710, 120, 4996, 17671, 1239, 1110, 1721, 7248, 1147, 1135, 7389, 3258, 1161, 1173, 1842, 21914, 1147, 1135, 9197, 15867, 1161, 28948, 3840, 21930, 4994, 106, 106, 12606, 1171, 3101, 106, 106, 5318, 7248, 1239, 8452, 1147, 1135, 7663, 1910, 1161, 1173, 1842, 21914, 4230, 1135, 20477, 10750, 121, 106, 106, 158, 3178, 1132, 30025, 1147, 1173, 1842, 3525, 8551, 1315, 9668, 1413, 10804, 133, 106, 157, 1277, 1125, 6760, 175, 24685, 106, 157, 1277, 1200, 1156, 4000, 5445, 1815, 2982, 106, 157, 1277, 1227, 1233, 15316, 106, 157, 1277, 1227, 4304, 120, 2628, 1550, 2765, 106, 157, 1277, 2605, 184, 1399, 14050, 1172, 1810, 106, 157, 1277, 27398, 7198, 7658, 106, 157, 1277, 1197, 7358, 2360, 1297, 106, 106, 4515, 1239, 1921, 1641, 19742, 1182, 14283, 2928, 121, 106, 106, 17696, 1109, 1161, 1135, 2220, 106, 106, 4515, 1239, 9463, 2470, 1135, 16004, 1161, 2315, 1171, 13363, 1124, 2944, 14363, 9873, 121, 106, 106, 24436, 106, 106, 1598, 3224, 14363, 120, 4996, 17671, 1463, 21867, 2127, 2197, 9355, 2979, 1135, 26799, 133, 2019, 3966, 1847, 1910, 1463, 4494, 13063, 1227, 21586, 1762, 1446, 1135, 7927, 8984, 1119, 1206, 1523, 1147, 8610, 1163, 1135, 13911, 1161, 4784, 4592, 1210, 4886, 7850, 1110, 9164, 2320, 1226, 1173, 1842, 3525, 22483, 8676, 134, 1341, 1463, 6470, 2674, 5417, 13063, 1125, 1158, 16424, 1389, 121, 14835, 22858, 1910, 1463, 4494, 3091, 2462, 1157, 12313, 2606, 3299, 4954, 4880, 7314, 1156, 1147, 488, 124, 129, 128, 123, 1496, 2491, 13063, 1125, 1158, 9282, 22165, 2849, 1161, 1110, 7634, 1302, 1463, 2543, 7770, 1970, 134, 1341, 1463, 2674, 5417, 13063, 1125, 4304, 2818, 1147, 488, 124, 130, 132, 126, 2849, 1110, 18253, 2055, 2023, 2543, 7770, 1970, 1147, 12886, 1161, 1135, 24325, 4045, 1918, 1128, 1171, 1548, 1326, 1126, 1117, 1657, 106, 106, 5395, 1135, 3224, 24694, 1324, 18259, 2605, 184, 1399, 14050, 9177, 1463, 1135, 29235, 1161, 1135, 1940, 2277, 1121, 1161, 1173, 1842, 21914, 8991, 25428, 7358, 178, 2198, 119, 31341, 2127, 5407, 9271, 3545, 1765, 6326, 1355, 1135, 10220, 1161, 1135, 9197, 26799, 121, 1410, 5379, 6540, 1602, 3976, 12962, 176, 3208, 119, 1663, 1110, 20660, 14324, 1147, 488, 124, 132, 126, 132, 3293, 1111, 4005, 1163, 1135, 1940, 17023, 23578, 7368, 16436, 106, 106, 140, 3447, 19448, 14476, 1302, 14363, 9873, 19087, 1110, 5481, 1147, 1173, 1842, 3525, 1171, 13901, 1163, 4246, 1163, 2377, 119, 1179, 4928, 1765, 1181, 1801, 1171, 4797, 1765, 1127, 2292, 1224, 13089, 1164, 1378, 6348, 2835, 4321, 4672, 1149, 1135, 16004, 1361, 9329, 1163, 4457, 1171, 18921, 134, 1386, 2098, 1959, 1537, 4482, 5278, 4304, 3728, 1550, 1108, 1163, 4797, 1110, 2067, 4481, 119, 2000, 27726, 1765, 20786, 1146, 6775, 121, 9068, 1135, 16004, 1239, 16447, 1163, 1135, 5517, 1161, 1173, 1842, 3525, 2849, 16901, 1430, 2910, 12308, 1172, 3674, 1171, 1951, 3256, 1701, 2025, 7368, 1970, 1147, 488, 124, 128, 132, 126, 119, 14099, 1163, 2283, 1135, 14511, 6928, 1285, 1135, 1170, 15815, 10734, 1905, 2667, 1393, 18205, 21977, 1663, 1616, 13573, 1147, 8822, 9329, 121, 2192, 1239, 3516, 1176, 14400, 1449, 1135, 2220, 2918, 1147, 488, 124, 131, 124, 129, 119, 1355, 1135, 10220, 1161, 1135, 10764, 1121, 2071, 1161, 1135, 10804, 119, 1758, 7905, 13063, 14363, 120, 4996, 119, 2884, 1135, 23751, 1179, 1242, 1463, 2674, 5417, 27730, 14296, 6383, 4095, 6067, 1135, 6348, 2835, 1473, 4772, 15788, 7770, 1324, 1135, 5517, 1161, 1173, 1842, 3525, 2060, 1110, 14851, 2470, 1135, 16004, 1361, 6775, 133, 1181, 3794, 1147, 488, 124, 130, 125, 126, 119, 17426, 26213, 1222, 20012, 3032, 1511, 4000, 1125, 1352, 24321, 5342, 119, 1222, 2547, 1224, 1161, 1254, 2835, 4321, 14676, 1246, 1161, 9228, 4670, 1456, 2726, 31381, 1161, 1254, 2835, 1473, 1171, 25678, 1161, 6556, 8420, 1110, 5360, 8452, 1355, 1135, 7634, 10547, 190, 1161, 1539, 172, 1908, 119, 1355, 1135, 24694, 1161, 1135, 10804, 1171, 18259, 1227, 5370, 120, 1334, 6867, 4537, 28778, 1446, 488, 124, 131, 129, 132, 1163, 488, 124, 132, 130, 127, 119, 1375, 4490, 29494, 4957, 2722, 1558, 7494, 1333, 1108, 2433, 1970, 1463, 1110, 2166, 1149, 192, 1567, 4494, 1235, 216, 1158, 18121, 13089, 1164, 1378, 1523, 2468, 1110, 1131, 1312, 6271, 2302, 1993, 1149, 1135, 16004, 1171, 1765, 1127, 2292, 1224, 1463, 14324, 121, 106, 106, 159, 1259, 6234, 1110, 1734, 1212, 1140, 1239, 8452, 1147, 1135, 8302, 1161, 1135, 10804, 121, 106, 106, 6006, 1364, 20646, 1171, 8365, 1161, 9329, 106, 140, 11109, 1431, 1131, 1848, 11431, 106, 106, 145, 1136, 1732, 8895, 106, 106, 141, 4807, 11114, 106, 154, 1397, 1435, 8649, 2114, 1173, 1842, 3525, 21232, 2462, 1517, 1167, 24312, 29946, 1548, 21358, 6111, 3833, 14153, 13208, 488, 125, 123, 123, 123, 1496, 488, 124, 132, 125, 129, 121, 106, 157, 1108, 244, 1173, 1404, 1346, 14124, 1125, 1173, 1842, 3525, 133, 3190, 29636, 1188, 488, 124, 132, 127, 128, 119, 7676, 10777, 1125, 1173, 1842, 21914, 488, 124, 132, 129, 128, 121, 106, 158, 1842, 21914, 1909, 8936, 1106, 1953, 1167, 1909, 20102, 1385, 10110, 3310, 7676, 10777, 1125, 1173, 1842, 21914, 488, 124, 132, 129, 131, 121, 106, 22448, 1452, 1120, 8487, 193, 1531, 119, 1306, 1267, 3327, 1125, 1173, 1842, 21914, 1173, 1842, 3525, 1459, 23456, 488, 124, 132, 131, 132, 121, 106, 106, 12225, 1589, 3760, 106, 24436, 1161, 1173, 1842, 3525, 106, 106, 20634, 1171, 22874, 106, 147, 29710, 120, 4996, 106, 147, 29710, 120, 4996, 106, 147, 29710, 6867, 148, 106, 24181, 9463, 2470, 14363, 9873, 121, 32001, 488, 106, 32000, 20036, 106, 3562, 2320, 14363, 120, 4996, 1299, 1318, 8401, 5956, 1125, 1158, 4813, 1125, 1173, 1842, 21914, 1313, 1170, 5927, 2720, 1197, 28948, 3840, 21930, 4994, 106, 106, 158, 1123, 10878, 1167, 8139, 106, 106, 142, 1567, 8401, 1281, 5209, 1313, 1170, 2306, 1125, 1173, 1842, 21914, 1317, 5545, 1227, 12311, 4607, 7165, 106, 106, 161, 1201, 1816, 2320, 8551, 17512, 3171, 18122, 1125, 1173, 1842, 3525, 1257, 106, 157, 1277, 1125, 6760, 175, 24685, 106, 157, 1277, 1200, 1156, 4000, 5445, 1815, 2982, 106, 157, 1277, 1227, 1233, 15316, 106, 157, 1277, 1227, 4304, 120, 2628, 1550, 2765, 106, 157, 1277, 2605, 184, 1399, 14050, 1172, 1810, 106, 157, 1277, 27398, 7198, 7658, 106, 157, 1277, 1197, 7358, 2360, 1297, 106, 106, 15539, 1299, 1186, 3247, 6907, 1630, 1767, 121, 106, 106, 17696, 1314, 1227, 1874, 106, 106, 15539, 4665, 1170, 1874, 1227, 10973, 1125, 2315, 1167, 1125, 13363, 1124, 2944, 14363, 9873, 121, 106, 106, 147, 15376, 106, 106, 6880, 1551, 3858, 2320, 14363, 120, 4996, 3031, 7328, 1158, 23608, 3754, 6657, 1186, 2069, 9355, 1257, 1561, 3247, 1299, 1281, 26174, 1370, 2320, 1227, 21586, 1762, 1125, 1282, 5738, 2082, 1606, 18500, 1206, 3133, 1186, 6891, 1188, 1158, 3385, 1197, 5997, 5989, 1125, 12436, 119, 2130, 8770, 3601, 1125, 7721, 1256, 1207, 1138, 7904, 2007, 1125, 1173, 1842, 3525, 2040, 2399, 1299, 1408, 7959, 2674, 24896, 2320, 1125, 1158, 16424, 1389, 121, 6280, 3247, 1362, 1182, 1281, 26174, 1370, 1734, 2462, 1157, 12313, 2606, 3299, 4954, 4880, 1108, 3614, 244, 1186, 488, 124, 129, 128, 123, 1496, 2648, 2320, 1125, 1158, 9282, 22165, 1186, 5169, 2519, 27825, 1357, 1251, 3031, 26659, 2040, 2399, 1299, 2674, 24896, 2320, 1125, 4304, 2818, 1186, 488, 124, 130, 132, 126, 1734, 1189, 18253, 1251, 3618, 1913, 1253, 1738, 244, 1188, 1158, 26960, 1229, 1197, 4304, 2288, 3656, 1918, 1128, 1167, 1548, 1326, 1126, 1117, 1657, 106, 106, 17971, 4041, 1125, 1282, 1551, 3858, 24694, 1469, 1158, 5820, 2605, 184, 1399, 14050, 9177, 1281, 5428, 1370, 1170, 10081, 1227, 3151, 16487, 1125, 1173, 1842, 21914, 8991, 25428, 7358, 178, 2198, 119, 6033, 244, 1186, 21480, 7542, 1594, 13838, 1357, 1281, 23408, 1317, 4319, 1125, 1158, 23608, 25572, 1548, 12685, 3425, 1140, 1110, 2757, 8246, 192, 1723, 1318, 20660, 1465, 1180, 1303, 1186, 488, 124, 132, 126, 132, 5931, 22107, 1317, 3151, 5809, 17023, 1357, 20906, 1111, 1343, 121, 106, 106, 4298, 29021, 13359, 7353, 1309, 14363, 9873, 5315, 1740, 1370, 1318, 9855, 1188, 1173, 1842, 3525, 1167, 3365, 4833, 1370, 8920, 20906, 10436, 1659, 20906, 2627, 8272, 3914, 1167, 1251, 8182, 1561, 23068, 1206, 13089, 1164, 1378, 6348, 2835, 4321, 1771, 1199, 1170, 11252, 1227, 10973, 1188, 21440, 1167, 1317, 10836, 2040, 1527, 7457, 2445, 1844, 1282, 4910, 2846, 1227, 2383, 3728, 1550, 1108, 1256, 1251, 12194, 1189, 2543, 184, 6196, 1357, 2435, 7457, 14547, 1123, 1561, 4541, 20786, 7165, 3066, 1170, 10973, 1299, 15923, 1188, 13400, 1125, 1173, 1842, 3525, 1734, 1197, 26915, 1125, 19790, 1835, 15335, 2097, 1167, 11286, 1701, 20906, 1111, 1109, 2089, 1186, 488, 124, 128, 132, 126, 1167, 3512, 7085, 1188, 4271, 1622, 1571, 13991, 1312, 1125, 5402, 4986, 1207, 21012, 1185, 2486, 30340, 1188, 1594, 3499, 1508, 3529, 1414, 4321, 1723, 31825, 2972, 1313, 1158, 10005, 8822, 121, 1653, 28038, 2042, 1170, 8038, 1125, 1874, 1186, 488, 124, 131, 124, 129, 119, 1317, 4319, 1125, 1158, 19332, 2071, 1125, 1158, 13571, 1357, 7354, 2320, 14363, 120, 4996, 119, 3042, 1309, 1170, 1179, 1558, 8918, 1109, 5909, 1170, 1874, 1606, 1125, 14296, 6383, 4821, 1768, 16810, 1309, 1158, 4446, 6348, 2835, 1473, 8308, 172, 13400, 1125, 1173, 1842, 3525, 1723, 1408, 2335, 6298, 2750, 1158, 4541, 1227, 10973, 1257, 24563, 1186, 488, 124, 130, 125, 126, 119, 17426, 26213, 1222, 20012, 3032, 1511, 4000, 1125, 1352, 24321, 5342, 119, 1227, 2942, 1206, 6348, 2835, 4321, 2623, 5269, 1125, 9228, 4670, 1456, 2726, 23711, 6348, 2835, 1303, 1167, 6643, 1125, 6556, 9516, 1318, 4685, 10019, 1734, 2462, 1157, 1227, 1539, 172, 1908, 119, 3042, 1317, 3664, 25989, 1125, 1158, 2320, 1167, 1125, 1158, 5820, 1227, 5370, 120, 1334, 6867, 4537, 1778, 11346, 1125, 488, 124, 131, 129, 132, 1188, 488, 124, 132, 130, 127, 119, 3495, 1370, 2081, 7477, 119, 1170, 2102, 1227, 1179, 1558, 7494, 1333, 1108, 2433, 1318, 2166, 1149, 192, 1567, 28359, 1606, 4511, 1158, 18121, 13089, 1164, 1378, 3133, 2585, 3031, 3662, 1303, 1318, 1131, 1312, 1244, 22979, 1170, 10973, 1167, 1561, 23068, 14340, 106, 106, 2524, 2425, 13872, 1189, 1618, 7541, 1281, 5209, 1317, 4779, 1125, 1158, 14801, 106, 106, 141, 237, 1117, 1525, 16970, 2234, 1167, 8936, 1125, 10005, 106, 4298, 4256, 2100, 11109, 1431, 121, 106, 106, 13766, 30686, 1187, 106, 106, 141, 13449, 106, 154, 1397, 1435, 8649, 2114, 1173, 1842, 3525, 21232, 2462, 1517, 1167, 24312, 29946, 1548, 21358, 6111, 3833, 1175, 1568, 1740, 121, 488, 125, 123, 123, 123, 1496, 488, 124, 132, 125, 129, 121, 106, 157, 1108, 244, 1173, 1404, 1346, 14124, 1125, 1173, 1842, 3525, 1257, 3190, 29636, 1188, 488, 124, 132, 127, 128, 119, 7676, 10777, 1125, 1173, 1842, 21914, 488, 124, 132, 129, 128, 121, 106, 158, 1842, 21914, 1909, 8936, 1106, 1953, 1167, 1909, 20102, 1385, 10110, 3310, 7676, 10777, 1125, 1173, 1842, 21914, 488, 124, 132, 129, 131, 121, 106, 22448, 1452, 1120, 8487, 193, 1531, 119, 1306, 1267, 3327, 1125, 1173, 1842, 21914, 1173, 1842, 3525, 1459, 23456, 488, 124, 132, 131, 132, 121, 106, 106, 10026, 11052, 106, 30609, 1125, 1173, 1842, 3525, 106, 106, 20634, 1167, 5474, 106, 147, 29710, 120, 4996, 106, 147, 29710, 120, 4996, 106, 147, 29710, 6867, 148, 106, 151, 2466, 12688, 21469, 14363, 9873, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 2320, 14363, 120, 4996, 1299, 1318, 8401, 5956, 1125, 1158, 4813, 1125, 1173, 1842, 21914, 1313, 1170, 5927, 2720, 1197, 28948, 3840, 21930, 4994, 106, 106, 158, 1123, 10878, 1167, 8139, 106, 106, 142, 1567, 8401, 1281, 5209, 1313, 1170, 2306, 1125, 1173, 1842, 21914, 1317, 5545, 1227, 12311, 4607, 7165, 106, 106, 161, 1201, 1816, 2320, 8551, 17512, 3171, 18122, 1125, 1173, 1842, 3525, 1257, 106, 157, 1277, 1125, 6760, 175, 24685, 106, 157, 1277, 1200, 1156, 4000, 5445, 1815, 2982, 106, 157, 1277, 1227, 1233, 15316, 106, 157, 1277, 1227, 4304, 120, 2628, 1550, 2765, 106, 157, 1277, 2605, 184, 1399, 14050, 1172, 1810, 106, 157, 1277, 27398, 7198, 7658, 106, 157, 1277, 1197, 7358, 2360, 1297, 106, 106, 15539, 1299, 1186, 3247, 6907, 1630, 1767, 121, 106, 106, 17696, 1314, 1227, 1874, 106, 106, 15539, 4665, 1170, 1874, 1227, 10973, 1125, 2315, 1167, 1125, 13363, 1124, 2944, 14363, 9873, 121, 106, 106, 147, 15376, 106, 106, 6880, 1551, 3858, 2320, 14363, 120, 4996, 3031, 7328, 1158, 23608, 3754, 6657, 1186, 2069, 9355, 1257, 1561, 3247, 1299, 1281, 26174, 1370, 2320, 1227, 21586, 1762, 1125, 1282, 5738, 2082, 1606, 18500, 1206, 3133, 1186, 6891, 1188, 1158, 3385, 1197, 5997, 5989, 1125, 12436, 119, 2130, 8770, 3601, 1125, 7721, 1256, 1207, 1138, 7904, 2007, 1125, 1173, 1842, 3525, 2040, 2399, 1299, 1408, 7959, 2674, 24896, 2320, 1125, 1158, 16424, 1389, 121, 6280, 3247, 1362, 1182, 1281, 26174, 1370, 1734, 2462, 1157, 12313, 2606, 3299, 4954, 4880, 1108, 3614, 244, 1186, 488, 124, 129, 128, 123, 1496, 2648, 2320, 1125, 1158, 9282, 22165, 1186, 5169, 2519, 27825, 1357, 1251, 3031, 26659, 2040, 2399, 1299, 2674, 24896, 2320, 1125, 4304, 2818, 1186, 488, 124, 130, 132, 126, 1734, 1189, 18253, 1251, 3618, 1913, 1253, 1738, 244, 1188, 1158, 26960, 1229, 1197, 4304, 2288, 3656, 1918, 1128, 1167, 1548, 1326, 1126, 1117, 1657, 106, 106, 17971, 4041, 1125, 1282, 1551, 3858, 24694, 1469, 1158, 5820, 2605, 184, 1399, 14050, 9177, 1281, 5428, 1370, 1170, 10081, 1227, 3151, 16487, 1125, 1173, 1842, 21914, 8991, 25428, 7358, 178, 2198, 119, 6033, 244, 1186, 21480, 7542, 1594, 13838, 1357, 1281, 23408, 1317, 4319, 1125, 1158, 23608, 25572, 1548, 12685, 3425, 1140, 1110, 2757, 8246, 192, 1723, 1318, 20660, 1465, 1180, 1303, 1186, 488, 124, 132, 126, 132, 5931, 22107, 1317, 3151, 5809, 17023, 1357, 20906, 1111, 1343, 121, 106, 106, 4298, 29021, 13359, 7353, 1309, 14363, 9873, 5315, 1740, 1370, 1318, 9855, 1188, 1173, 1842, 3525, 1167, 3365, 4833, 1370, 8920, 20906, 10436, 1659, 20906, 2627, 8272, 3914, 1167, 1251, 8182, 1561, 23068, 1206, 13089, 1164, 1378, 6348, 2835, 4321, 1771, 1199, 1170, 11252, 1227, 10973, 1188, 21440, 1167, 1317, 10836, 2040, 1527, 7457, 2445, 1844, 1282, 4910, 2846, 1227, 2383, 3728, 1550, 1108, 1256, 1251, 12194, 1189, 2543, 184, 6196, 1357, 2435, 7457, 14547, 1123, 1561, 4541, 20786, 7165, 3066, 1170, 10973, 1299, 15923, 1188, 13400, 1125, 1173, 1842, 3525, 1734, 1197, 26915, 1125, 19790, 1835, 15335, 2097, 1167, 11286, 1701, 20906, 1111, 1109, 2089, 1186, 488, 124, 128, 132, 126, 1167, 3512, 7085, 1188, 4271, 1622, 1571, 13991, 1312, 1125, 5402, 4986, 1207, 21012, 1185, 2486, 30340, 1188, 1594, 3499, 1508, 3529, 1414, 4321, 1723, 31825, 2972, 1313, 1158, 10005, 8822, 121, 1653, 28038, 2042, 1170, 8038, 1125, 1874, 1186, 488, 124, 131, 124, 129, 119, 1317, 4319, 1125, 1158, 19332, 2071, 1125, 1158, 13571, 1357, 7354, 2320, 14363, 120, 4996, 119, 3042, 1309, 1170, 1179, 1558, 8918, 1109, 5909, 1170, 1874, 1606, 1125, 14296, 6383, 4821, 1768, 16810, 1309, 1158, 4446, 6348, 2835, 1473, 8308, 172, 13400, 1125, 1173, 1842, 3525, 1723, 1408, 2335, 6298, 2750, 1158, 4541, 1227, 10973, 1257, 24563, 1186, 488, 124, 130, 125, 126, 119, 17426, 26213, 1222, 20012, 3032, 1511, 4000, 1125, 1352, 24321, 5342, 119, 1227, 2942, 1206, 6348, 2835, 4321, 2623, 5269, 1125, 9228, 4670, 1456, 2726, 23711, 6348, 2835, 1303, 1167, 6643, 1125, 6556, 9516, 1318, 4685, 10019, 1734, 2462, 1157, 1227, 1539, 172, 1908, 119, 3042, 1317, 3664, 25989, 1125, 1158, 2320, 1167, 1125, 1158, 5820, 1227, 5370, 120, 1334, 6867, 4537, 1778, 11346, 1125, 488, 124, 131, 129, 132, 1188, 488, 124, 132, 130, 127, 119, 3495, 1370, 2081, 7477, 119, 1170, 2102, 1227, 1179, 1558, 7494, 1333, 1108, 2433, 1318, 2166, 1149, 192, 1567, 28359, 1606, 4511, 1158, 18121, 13089, 1164, 1378, 3133, 2585, 3031, 3662, 1303, 1318, 1131, 1312, 1244, 22979, 1170, 10973, 1167, 1561, 23068, 14340, 106, 106, 2524, 2425, 13872, 1189, 1618, 7541, 1281, 5209, 1317, 4779, 1125, 1158, 14801, 106, 106, 141, 237, 1117, 1525, 16970, 2234, 1167, 8936, 1125, 10005, 106, 4298, 4256, 2100, 11109, 1431, 121, 106, 106, 13766, 30686, 1187, 106, 106, 141, 13449, 106, 154, 1397, 1435, 8649, 2114, 1173, 1842, 3525, 21232, 2462, 1517, 1167, 24312, 29946, 1548, 21358, 6111, 3833, 1175, 1568, 1740, 121, 488, 125, 123, 123, 123, 1496, 488, 124, 132, 125, 129, 121, 106, 157, 1108, 244, 1173, 1404, 1346, 14124, 1125, 1173, 1842, 3525, 1257, 3190, 29636, 1188, 488, 124, 132, 127, 128, 119, 7676, 10777, 1125, 1173, 1842, 21914, 488, 124, 132, 129, 128, 121, 106, 158, 1842, 21914, 1909, 8936, 1106, 1953, 1167, 1909, 20102, 1385, 10110, 3310, 7676, 10777, 1125, 1173, 1842, 21914, 488, 124, 132, 129, 131, 121, 106, 22448, 1452, 1120, 8487, 193, 1531, 119, 1306, 1267, 3327, 1125, 1173, 1842, 21914, 1173, 1842, 3525, 1459, 23456, 488, 124, 132, 131, 132, 121, 106, 106, 10026, 11052, 106, 30609, 1125, 1173, 1842, 3525, 106, 106, 20634, 1167, 5474, 106, 147, 29710, 120, 4996, 106, 147, 29710, 120, 4996, 106, 147, 29710, 6867, 148, 106, 151, 2466, 12688, 21469, 14363, 9873, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 149, 2550, 8980, 12879, 1117, 1285, 9204, 1238, 5696, 488, 124, 124, 119, 488, 124, 132, 127, 126, 1147, 10681, 1171, 12743, 1238, 6674, 488, 125, 123, 119, 488, 125, 123, 125, 123, 1147, 10315, 27898, 12579, 119, 1463, 1151, 4950, 7711, 2489, 1657, 106, 106, 141, 180, 11114, 106, 106, 9017, 8733, 106, 152, 4962, 12879, 2011, 21605, 1355, 10290, 4304, 178, 1137, 1884, 6815, 5761, 1147, 10313, 16832, 10016, 2621, 121, 2133, 6312, 1163, 31381, 4017, 1147, 488, 124, 132, 129, 124, 121, 106, 106, 142, 1532, 1107, 106, 106, 3272, 6091, 106, 6937, 488, 124, 132, 129, 125, 1163, 488, 124, 132, 129, 127, 119, 14222, 12879, 2011, 9273, 1226, 1135, 13105, 13612, 2312, 7711, 25419, 1296, 2632, 1296, 1135, 5741, 1171, 3573, 25419, 16403, 1135, 3518, 28399, 27470, 1161, 1135, 24907, 18819, 15396, 1147, 488, 124, 132, 129, 126, 121, 1459, 7711, 119, 1386, 9273, 1296, 1110, 4243, 3021, 1171, 2055, 488, 125, 130, 131, 1734, 3992, 1226, 488, 124, 119, 123, 126, 127, 25944, 1171, 13478, 17147, 7366, 5683, 1297, 12879, 2011, 1463, 9463, 1147, 1135, 21118, 6062, 3390, 1147, 488, 124, 132, 129, 125, 1171, 488, 124, 132, 129, 127, 119, 1135, 4823, 3390, 3454, 4379, 16609, 1147, 488, 124, 132, 129, 127, 119, 1171, 9917, 1135, 1204, 24253, 5783, 1355, 31381, 1135, 2994, 11764, 106, 106, 2101, 16366, 1132, 106, 152, 4962, 12879, 2011, 1463, 8849, 1147, 1135, 1940, 7094, 1161, 1135, 488, 124, 132, 129, 128, 23119, 19039, 1449, 1135, 8411, 2184, 1345, 2908, 1634, 1296, 1135, 3663, 1148, 15803, 6680, 119, 1296, 2632, 1296, 1449, 1135, 28634, 5407, 1539, 1214, 4842, 1147, 1135, 4823, 7094, 1161, 1135, 1192, 10368, 19039, 1296, 1135, 20809, 2874, 1801, 6680, 121, 2133, 1463, 9681, 1163, 2458, 3021, 1107, 1171, 7905, 1110, 4300, 1213, 1226, 1135, 2908, 1634, 1147, 488, 124, 132, 129, 131, 119, 2468, 1386, 18850, 1765, 1940, 1951, 31689, 10841, 1171, 3454, 120, 2101, 3390, 10841, 121, 12879, 2011, 7905, 5388, 1226, 1765, 17665, 1171, 17275, 9096, 31427, 1184, 6368, 2667, 1135, 26475, 1777, 5886, 1217, 19416, 4095, 106, 106, 143, 6129, 7673, 31689, 1352, 4064, 1135, 31893, 27876, 21691, 1285, 1135, 2458, 3021, 1107, 1597, 3423, 1427, 1110, 1931, 1446, 17170, 1205, 21069, 1105, 15940, 1226, 5941, 1863, 176, 1923, 1171, 9553, 1341, 1226, 1181, 1187, 17147, 1251, 1379, 1297, 19451, 24257, 18775, 12611, 14329, 141, 18325, 22568, 1135, 3654, 30770, 3573, 8603, 1226, 8411, 2184, 8796, 15776, 1135, 2908, 1634, 20473, 1163, 5071, 2019, 1940, 29672, 2305, 12879, 2011, 18919, 1765, 27238, 1296, 1110, 20121, 1159, 7402, 2043, 1386, 15839, 1641, 25653, 1156, 2860, 1110, 10822, 2000, 2055, 17032, 1135, 3573, 1161, 25481, 28820, 4064, 1135, 26067, 20787, 1479, 1554, 1238, 7262, 488, 125, 124, 119, 488, 124, 132, 130, 123, 119, 7247, 1163, 3396, 1132, 1135, 3654, 6884, 121, 106, 106, 1891, 1126, 3245, 1449, 1135, 2908, 1634, 2470, 1135, 488, 124, 132, 130, 128, 21326, 1386, 1463, 8849, 1449, 1135, 30300, 2499, 2194, 2554, 3583, 1147, 1135, 488, 124, 132, 130, 129, 23119, 19158, 19039, 1171, 7905, 1135, 3390, 1361, 1940, 1683, 6571, 2195, 3697, 121, 12879, 2011, 9273, 1147, 1543, 3663, 17147, 8048, 6062, 8256, 1296, 1135, 9328, 2626, 2458, 3021, 1659, 1110, 3259, 5897, 1446, 1765, 1792, 8677, 3620, 1324, 1135, 2908, 22074, 1171, 1710, 6688, 30300, 1361, 1940, 19542, 1449, 5129, 1149, 1110, 3573, 8603, 4064, 1135, 1198, 1916, 172, 9560, 1233, 24542, 2988, 2996, 106, 106, 152, 4962, 12879, 2011, 13942, 1296, 1110, 4075, 9899, 1324, 1135, 10681, 6214, 5005, 1554, 1147, 488, 124, 132, 130, 130, 1163, 1280, 19618, 1163, 1765, 24387, 6226, 9328, 1135, 1940, 1976, 1171, 9096, 18662, 1549, 8256, 1147, 2320, 1161, 1135, 29630, 5644, 18500, 12579, 1659, 1386, 1463, 22114, 3437, 1147, 488, 124, 132, 130, 131, 1171, 9273, 1147, 2155, 2197, 8256, 1296, 1110, 4300, 1213, 1656, 1161, 1181, 1187, 1148, 4414, 27263, 1149, 1163, 28899, 2470, 1135, 488, 124, 132, 130, 132, 21326, 1386, 1463, 6100, 1147, 6678, 488, 124, 132, 130, 132, 1296, 10681, 7563, 1163, 2489, 1324, 2717, 6176, 2489, 2996, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 106, 106, 141, 2589, 1147, 5696, 488, 124, 132, 127, 126, 106, 141, 2589, 1147, 22803, 1222, 14236, 106, 140, 16609, 7711, 7402, 106, 7838, 3021, 1107, 106, 14674, 1226, 1135, 8411, 2184, 1345, 2908, 1634, 106, 14674, 1226, 1135, 30300, 2499, 2194, 2554, 3583, 106, 14674, 1226, 1135, 10681, 6214, 5005, 1554, 106, 158, 9230, 31689, 18957, 106, 143, 5346, 6680, 1161, 1135, 8411, 2184, 1345, 2908, 1634, 106, 143, 5346, 6680, 1161, 1135, 28634, 5407, 1539, 1214, 4842, 106, 4961, 1277, 13612, 2312, 7711, 7402, 1355, 31381, 106, 2101, 31689, 10841, 106, 2524, 1495, 1147, 10315, 27898, 12579, 106, 143, 2295, 1355, 488, 130, 130, 3162, 4006, 106, 143, 2295, 1147, 6674, 488, 125, 123, 125, 123, 32001, 488, 106, 32000, 20036, 106, 149, 2550, 8980, 12879, 1117, 1285, 5252, 1170, 488, 124, 124, 2829, 488, 124, 132, 127, 126, 1188, 10681, 1167, 4541, 1170, 488, 125, 123, 3012, 488, 125, 123, 125, 123, 1188, 10315, 27898, 12579, 119, 1299, 1189, 10952, 8403, 1125, 7711, 8403, 121, 106, 106, 141, 11741, 106, 106, 1686, 177, 1336, 488, 106, 152, 4962, 12879, 2011, 22589, 1214, 1188, 1158, 10290, 4304, 178, 1137, 1884, 6815, 5761, 1125, 10313, 6021, 1313, 1170, 10016, 2621, 121, 1768, 1835, 1188, 15714, 31381, 1186, 488, 124, 132, 129, 124, 121, 106, 106, 20616, 4096, 106, 106, 11365, 488, 106, 2524, 488, 124, 132, 129, 125, 1188, 488, 124, 132, 129, 127, 119, 14222, 12879, 2011, 28160, 1469, 10796, 1125, 7711, 8403, 1197, 13105, 13612, 2312, 1723, 2445, 1469, 4421, 1304, 1495, 5012, 2011, 4048, 18241, 1199, 1170, 16277, 1125, 14675, 1227, 3518, 1140, 1190, 1125, 1282, 5395, 5930, 1310, 18819, 15396, 1186, 488, 124, 132, 129, 126, 121, 1653, 7711, 119, 1527, 10809, 1856, 4243, 3021, 1167, 30816, 488, 125, 130, 131, 14146, 1256, 488, 124, 488, 123, 126, 127, 25944, 1167, 24385, 7366, 5683, 1297, 12879, 2011, 1299, 12688, 1313, 10796, 1125, 1158, 6586, 1186, 21118, 1186, 488, 124, 132, 129, 125, 1167, 488, 124, 132, 129, 127, 119, 1158, 8483, 4924, 3454, 4379, 16609, 1186, 488, 124, 132, 129, 127, 1167, 1805, 10928, 1170, 3694, 1125, 1204, 24253, 1125, 31381, 1816, 2076, 1894, 3798, 106, 106, 2101, 16366, 4930, 488, 106, 152, 4962, 12879, 2011, 1299, 28588, 1317, 3151, 3543, 1125, 1158, 19039, 488, 124, 132, 129, 128, 1125, 1158, 23119, 1215, 1207, 2908, 1634, 1125, 8411, 2184, 1345, 1317, 1179, 2111, 197, 3555, 4394, 2442, 1309, 1215, 1207, 1539, 1214, 4842, 1125, 28634, 5407, 1188, 1158, 19039, 1125, 6389, 10368, 1317, 8483, 3543, 1300, 1158, 11400, 8687, 22206, 3555, 5266, 121, 1548, 3631, 19357, 1299, 20540, 1125, 8536, 1256, 4110, 3977, 1125, 2458, 3021, 1107, 1167, 7354, 12456, 3523, 1207, 2908, 1634, 1186, 488, 124, 132, 129, 131, 2391, 2519, 6586, 2585, 1527, 1805, 10928, 1561, 3453, 5266, 1317, 1951, 31689, 1167, 1313, 10796, 3454, 120, 2101, 121, 12879, 2011, 1281, 1844, 3042, 18245, 1215, 1594, 3838, 1125, 5047, 1177, 2394, 1167, 2205, 17275, 1167, 14882, 1170, 1300, 20620, 1125, 1939, 106, 106, 17971, 7673, 31689, 1352, 2714, 1207, 27876, 21691, 190, 1125, 22646, 4277, 1170, 2458, 3021, 1107, 1597, 5917, 1318, 4212, 1125, 17170, 1205, 21069, 1105, 1256, 5941, 1863, 176, 1923, 1167, 1158, 5464, 1245, 1300, 5582, 2075, 1251, 1379, 1297, 17220, 8314, 3825, 1408, 14429, 12611, 14329, 141, 18325, 6252, 1170, 3573, 8603, 1125, 1158, 14789, 1256, 8411, 2184, 8796, 7037, 1188, 1158, 20473, 1197, 2908, 1634, 1125, 18978, 2021, 1594, 3151, 29672, 3798, 1548, 10952, 20978, 1561, 29258, 1125, 14514, 1166, 1700, 1245, 1250, 3817, 1527, 2255, 8103, 6840, 10865, 1317, 2429, 1189, 26116, 4716, 6662, 244, 10575, 1300, 1158, 15848, 2566, 1227, 25481, 28820, 119, 2714, 1207, 20787, 1479, 1554, 1125, 26067, 1170, 1859, 1167, 3748, 10847, 1188, 3035, 1107, 1170, 6884, 1105, 1125, 1158, 6666, 121, 106, 106, 151, 2532, 244, 6772, 1215, 1207, 2908, 1634, 2750, 1158, 6586, 488, 124, 132, 130, 128, 119, 1527, 1299, 28588, 1215, 1207, 2499, 2194, 2554, 3583, 1125, 30300, 1188, 1158, 19039, 1283, 12872, 1125, 1158, 23119, 488, 124, 132, 130, 129, 1167, 8017, 1313, 1170, 1667, 3151, 3274, 1125, 2499, 2251, 3476, 15695, 1199, 1170, 3151, 25468, 2968, 1462, 1221, 1125, 1158, 11203, 12970, 1768, 24844, 1207, 1179, 2111, 2174, 20825, 1125, 1158, 6586, 20314, 1856, 12456, 1317, 8536, 1125, 2458, 3021, 1107, 21305, 1367, 4422, 1199, 1469, 1594, 6315, 1408, 8677, 3523, 1207, 2908, 22074, 1167, 2856, 1158, 3453, 14789, 1125, 13400, 1125, 30300, 1186, 6848, 5725, 1189, 3573, 8603, 1125, 25218, 9615, 2714, 1207, 1233, 24542, 2988, 1201, 1125, 1198, 1916, 172, 9560, 121, 106, 106, 152, 4962, 12879, 2011, 2368, 14189, 1856, 9899, 6772, 3523, 1207, 6214, 5005, 1554, 1125, 10681, 1186, 488, 124, 132, 130, 130, 1256, 1281, 23071, 2021, 1125, 1561, 30799, 6982, 1318, 3453, 5910, 1856, 2352, 29345, 24889, 13503, 1238, 2174, 20825, 1188, 1158, 2320, 1125, 5644, 18500, 8519, 2104, 9814, 2357, 1527, 1299, 15367, 1300, 1170, 8079, 1186, 488, 124, 132, 130, 131, 1167, 24844, 5582, 2075, 13656, 2487, 2069, 1856, 12456, 5125, 121, 11151, 3365, 4071, 1450, 4110, 1561, 11521, 2750, 1158, 6586, 488, 124, 132, 130, 132, 119, 1527, 1299, 5044, 244, 1186, 3201, 488, 124, 132, 130, 132, 1313, 1318, 4927, 2585, 10681, 7353, 9571, 1469, 1125, 5087, 6346, 10952, 1297, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 106, 106, 153, 3400, 1186, 2829, 488, 124, 132, 127, 126, 106, 153, 3400, 1188, 10681, 4250, 10986, 1125, 26287, 116, 106, 149, 12590, 8403, 1125, 7711, 8403, 106, 7838, 3021, 1107, 106, 149, 12590, 1197, 2908, 1634, 1125, 8411, 2184, 1345, 106, 149, 12590, 1197, 2499, 2194, 2554, 3583, 1125, 30300, 106, 149, 12590, 1197, 6214, 5005, 1554, 1125, 10681, 106, 149, 12590, 15953, 19495, 1227, 7673, 31689, 106, 2330, 3420, 1125, 19039, 1197, 2908, 1634, 1125, 8411, 2184, 1345, 106, 2330, 3420, 1125, 19039, 1197, 1539, 1214, 4842, 1125, 28634, 5407, 106, 149, 12590, 1125, 7711, 8403, 1197, 13105, 13612, 2312, 1125, 31381, 106, 149, 12590, 28588, 1317, 1951, 31689, 106, 31133, 1467, 1188, 10315, 27898, 12579, 106, 31133, 1467, 1188, 488, 130, 130, 2165, 106, 31133, 1467, 1186, 3012, 488, 125, 123, 125, 123, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 149, 2550, 8980, 12879, 1117, 1285, 5252, 1170, 488, 124, 124, 2829, 488, 124, 132, 127, 126, 1188, 10681, 1167, 4541, 1170, 488, 125, 123, 3012, 488, 125, 123, 125, 123, 1188, 10315, 27898, 12579, 119, 1299, 1189, 10952, 8403, 1125, 7711, 8403, 121, 106, 106, 141, 11741, 106, 106, 1686, 177, 1336, 488, 106, 152, 4962, 12879, 2011, 22589, 1214, 1188, 1158, 10290, 4304, 178, 1137, 1884, 6815, 5761, 1125, 10313, 6021, 1313, 1170, 10016, 2621, 121, 1768, 1835, 1188, 15714, 31381, 1186, 488, 124, 132, 129, 124, 121, 106, 106, 20616, 4096, 106, 106, 11365, 488, 106, 2524, 488, 124, 132, 129, 125, 1188, 488, 124, 132, 129, 127, 119, 14222, 12879, 2011, 28160, 1469, 10796, 1125, 7711, 8403, 1197, 13105, 13612, 2312, 1723, 2445, 1469, 4421, 1304, 1495, 5012, 2011, 4048, 18241, 1199, 1170, 16277, 1125, 14675, 1227, 3518, 1140, 1190, 1125, 1282, 5395, 5930, 1310, 18819, 15396, 1186, 488, 124, 132, 129, 126, 121, 1653, 7711, 119, 1527, 10809, 1856, 4243, 3021, 1167, 30816, 488, 125, 130, 131, 14146, 1256, 488, 124, 488, 123, 126, 127, 25944, 1167, 24385, 7366, 5683, 1297, 12879, 2011, 1299, 12688, 1313, 10796, 1125, 1158, 6586, 1186, 21118, 1186, 488, 124, 132, 129, 125, 1167, 488, 124, 132, 129, 127, 119, 1158, 8483, 4924, 3454, 4379, 16609, 1186, 488, 124, 132, 129, 127, 1167, 1805, 10928, 1170, 3694, 1125, 1204, 24253, 1125, 31381, 1816, 2076, 1894, 3798, 106, 106, 2101, 16366, 4930, 488, 106, 152, 4962, 12879, 2011, 1299, 28588, 1317, 3151, 3543, 1125, 1158, 19039, 488, 124, 132, 129, 128, 1125, 1158, 23119, 1215, 1207, 2908, 1634, 1125, 8411, 2184, 1345, 1317, 1179, 2111, 197, 3555, 4394, 2442, 1309, 1215, 1207, 1539, 1214, 4842, 1125, 28634, 5407, 1188, 1158, 19039, 1125, 6389, 10368, 1317, 8483, 3543, 1300, 1158, 11400, 8687, 22206, 3555, 5266, 121, 1548, 3631, 19357, 1299, 20540, 1125, 8536, 1256, 4110, 3977, 1125, 2458, 3021, 1107, 1167, 7354, 12456, 3523, 1207, 2908, 1634, 1186, 488, 124, 132, 129, 131, 2391, 2519, 6586, 2585, 1527, 1805, 10928, 1561, 3453, 5266, 1317, 1951, 31689, 1167, 1313, 10796, 3454, 120, 2101, 121, 12879, 2011, 1281, 1844, 3042, 18245, 1215, 1594, 3838, 1125, 5047, 1177, 2394, 1167, 2205, 17275, 1167, 14882, 1170, 1300, 20620, 1125, 1939, 106, 106, 17971, 7673, 31689, 1352, 2714, 1207, 27876, 21691, 190, 1125, 22646, 4277, 1170, 2458, 3021, 1107, 1597, 5917, 1318, 4212, 1125, 17170, 1205, 21069, 1105, 1256, 5941, 1863, 176, 1923, 1167, 1158, 5464, 1245, 1300, 5582, 2075, 1251, 1379, 1297, 17220, 8314, 3825, 1408, 14429, 12611, 14329, 141, 18325, 6252, 1170, 3573, 8603, 1125, 1158, 14789, 1256, 8411, 2184, 8796, 7037, 1188, 1158, 20473, 1197, 2908, 1634, 1125, 18978, 2021, 1594, 3151, 29672, 3798, 1548, 10952, 20978, 1561, 29258, 1125, 14514, 1166, 1700, 1245, 1250, 3817, 1527, 2255, 8103, 6840, 10865, 1317, 2429, 1189, 26116, 4716, 6662, 244, 10575, 1300, 1158, 15848, 2566, 1227, 25481, 28820, 119, 2714, 1207, 20787, 1479, 1554, 1125, 26067, 1170, 1859, 1167, 3748, 10847, 1188, 3035, 1107, 1170, 6884, 1105, 1125, 1158, 6666, 121, 106, 106, 151, 2532, 244, 6772, 1215, 1207, 2908, 1634, 2750, 1158, 6586, 488, 124, 132, 130, 128, 119, 1527, 1299, 28588, 1215, 1207, 2499, 2194, 2554, 3583, 1125, 30300, 1188, 1158, 19039, 1283, 12872, 1125, 1158, 23119, 488, 124, 132, 130, 129, 1167, 8017, 1313, 1170, 1667, 3151, 3274, 1125, 2499, 2251, 3476, 15695, 1199, 1170, 3151, 25468, 2968, 1462, 1221, 1125, 1158, 11203, 12970, 1768, 24844, 1207, 1179, 2111, 2174, 20825, 1125, 1158, 6586, 20314, 1856, 12456, 1317, 8536, 1125, 2458, 3021, 1107, 21305, 1367, 4422, 1199, 1469, 1594, 6315, 1408, 8677, 3523, 1207, 2908, 22074, 1167, 2856, 1158, 3453, 14789, 1125, 13400, 1125, 30300, 1186, 6848, 5725, 1189, 3573, 8603, 1125, 25218, 9615, 2714, 1207, 1233, 24542, 2988, 1201, 1125, 1198, 1916, 172, 9560, 121, 106, 106, 152, 4962, 12879, 2011, 2368, 14189, 1856, 9899, 6772, 3523, 1207, 6214, 5005, 1554, 1125, 10681, 1186, 488, 124, 132, 130, 130, 1256, 1281, 23071, 2021, 1125, 1561, 30799, 6982, 1318, 3453, 5910, 1856, 2352, 29345, 24889, 13503, 1238, 2174, 20825, 1188, 1158, 2320, 1125, 5644, 18500, 8519, 2104, 9814, 2357, 1527, 1299, 15367, 1300, 1170, 8079, 1186, 488, 124, 132, 130, 131, 1167, 24844, 5582, 2075, 13656, 2487, 2069, 1856, 12456, 5125, 121, 11151, 3365, 4071, 1450, 4110, 1561, 11521, 2750, 1158, 6586, 488, 124, 132, 130, 132, 119, 1527, 1299, 5044, 244, 1186, 3201, 488, 124, 132, 130, 132, 1313, 1318, 4927, 2585, 10681, 7353, 9571, 1469, 1125, 5087, 6346, 10952, 1297, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 106, 106, 153, 3400, 1186, 2829, 488, 124, 132, 127, 126, 106, 153, 3400, 1188, 10681, 4250, 10986, 1125, 26287, 116, 106, 149, 12590, 8403, 1125, 7711, 8403, 106, 7838, 3021, 1107, 106, 149, 12590, 1197, 2908, 1634, 1125, 8411, 2184, 1345, 106, 149, 12590, 1197, 2499, 2194, 2554, 3583, 1125, 30300, 106, 149, 12590, 1197, 6214, 5005, 1554, 1125, 10681, 106, 149, 12590, 15953, 19495, 1227, 7673, 31689, 106, 2330, 3420, 1125, 19039, 1197, 2908, 1634, 1125, 8411, 2184, 1345, 106, 2330, 3420, 1125, 19039, 1197, 1539, 1214, 4842, 1125, 28634, 5407, 106, 149, 12590, 1125, 7711, 8403, 1197, 13105, 13612, 2312, 1125, 31381, 106, 149, 12590, 28588, 1317, 1951, 31689, 106, 31133, 1467, 1188, 10315, 27898, 12579, 106, 31133, 1467, 1188, 488, 130, 130, 2165, 106, 31133, 1467, 1186, 3012, 488, 125, 123, 125, 123, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 149, 1569, 1383, 1518, 1154, 1632, 29451, 20181, 7011, 488, 124, 128, 126, 124, 1362, 488, 124, 128, 126, 125, 1703, 1222, 1312, 10645, 2921, 488, 124, 128, 131, 129, 116, 1299, 1189, 1826, 5427, 10816, 1125, 1158, 27032, 121, 106, 106, 141, 11741, 488, 106, 106, 150, 1154, 1632, 8833, 1849, 19543, 4123, 1314, 12495, 1303, 1215, 488, 1167, 1110, 13551, 1189, 5179, 13044, 1125, 1158, 8691, 1278, 1469, 4852, 3157, 3032, 1122, 5784, 3762, 1909, 4092, 1125, 6273, 488, 124, 128, 127, 132, 122, 128, 123, 119, 1527, 9900, 1835, 2905, 1256, 1643, 197, 1532, 8870, 179, 1516, 1188, 4670, 1219, 2683, 121, 1768, 9582, 1245, 2072, 1188, 1548, 1461, 197, 1205, 1167, 1325, 1123, 1665, 1620, 3296, 1814, 9582, 1125, 3171, 4092, 1186, 6556, 2585, 1527, 1844, 1158, 8191, 1227, 3838, 1423, 1842, 5161, 1125, 10905, 1219, 1104, 1244, 1167, 1227, 3838, 2164, 11185, 1357, 7925, 1129, 1909, 8691, 1842, 7330, 6821, 1346, 1299, 6270, 1199, 1256, 1594, 3391, 25240, 2202, 3041, 4511, 1594, 5464, 119, 1527, 22145, 1125, 2315, 1125, 5087, 9098, 1125, 17492, 106, 106, 216, 3862, 1125, 488, 124, 128, 129, 124, 119, 1527, 9900, 1188, 5348, 190, 10914, 1186, 4083, 1309, 13822, 16595, 11712, 13357, 1125, 13822, 16595, 1317, 18989, 488, 124, 128, 129, 124, 1469, 1321, 1569, 1383, 18454, 1576, 1653, 488, 124, 128, 129, 124, 119, 3110, 1125, 1594, 6371, 3301, 1527, 4808, 1561, 3837, 23082, 1366, 2397, 20181, 7011, 2750, 5856, 1527, 4933, 1188, 1325, 1123, 1665, 1620, 3296, 1518, 1154, 1632, 18764, 1158, 9148, 2334, 12884, 5519, 1839, 190, 10914, 119, 3365, 23951, 7328, 1996, 1125, 2658, 2567, 1561, 4541, 121, 4511, 5348, 190, 10914, 119, 1527, 18532, 1197, 20857, 1469, 21546, 1278, 1188, 1158, 28551, 1215, 4070, 1189, 8666, 1119, 14062, 1317, 5809, 1125, 2397, 20181, 7011, 2069, 20857, 1125, 6916, 1162, 1317, 23711, 1125, 1233, 1342, 1774, 1186, 488, 124, 128, 129, 126, 1167, 1318, 1684, 189, 2163, 10206, 2466, 1317, 5809, 5519, 1839, 190, 10914, 1186, 488, 124, 128, 129, 127, 121, 1768, 6728, 6106, 1186, 488, 124, 128, 129, 129, 119, 1170, 488, 125, 128, 3201, 119, 1856, 1826, 5427, 1125, 1158, 2107, 1317, 2424, 1125, 12547, 1927, 1836, 1188, 1222, 1312, 10645, 2585, 1527, 9924, 2335, 18786, 121, 1768, 1299, 16849, 1188, 14569, 1197, 16767, 2301, 6002, 2576, 1145, 1125, 1909, 7177, 1376, 2079, 488, 124, 128, 129, 129, 120, 124, 128, 129, 131, 1299, 18627, 1121, 4847, 24632, 1170, 1933, 21165, 1357, 6400, 1370, 2445, 1125, 2397, 20181, 7011, 1167, 1971, 1343, 1408, 7959, 1170, 1826, 5427, 1125, 1158, 2107, 1227, 19041, 120, 1833, 17215, 1125, 1325, 10713, 197, 12579, 26045, 1254, 1210, 1213, 9905, 1204, 4870, 1140, 2266, 1145, 9373, 1867, 488, 124, 128, 130, 127, 1188, 488, 124, 128, 130, 131, 119, 1518, 1154, 1632, 1299, 7667, 244, 1125, 1518, 1141, 1436, 4020, 18772, 106, 106, 6535, 193, 1478, 488, 106, 106, 150, 1154, 1632, 1110, 2513, 3997, 488, 124, 123, 123, 123, 8691, 1842, 1188, 1222, 1312, 10645, 2487, 1318, 3828, 3247, 17904, 7030, 1188, 1158, 16795, 1125, 1222, 1312, 28975, 7155, 1594, 2735, 31547, 4020, 1153, 1659, 1518, 1154, 1632, 1299, 15112, 1856, 1170, 1826, 5427, 10816, 1170, 1408, 3283, 1125, 1158, 27032, 121, 1768, 5714, 1594, 1874, 1188, 1282, 15297, 1321, 1569, 1383, 1518, 1154, 192, 234, 176, 1197, 1826, 2892, 10816, 1285, 16512, 1186, 488, 124, 132, 124, 125, 121, 106, 106, 3272, 6995, 488, 106, 106, 141, 1164, 7474, 14650, 106, 141, 4807, 9889, 5277, 20020, 106, 141, 4807, 9889, 23982, 1167, 24119, 1125, 1173, 24822, 1188, 1222, 1312, 1208, 106, 106, 146, 31942, 106, 106, 141, 13449, 488, 106, 153, 1519, 10948, 1325, 7963, 133, 1518, 1154, 10877, 1321, 1569, 1383, 121, 1459, 133, 4273, 1277, 1867, 7632, 1512, 7072, 4134, 6229, 7878, 1576, 18003, 488, 124, 125, 119, 22523, 1784, 1107, 1673, 15065, 2014, 7658, 17597, 488, 124, 132, 131, 123, 119, 1859, 7934, 488, 130, 123, 126, 6047, 1205, 1123, 1790, 1128, 1576, 2602, 1201, 1548, 186, 16642, 16694, 1518, 1154, 10877, 1321, 1569, 1383, 121, 1459, 133, 21586, 1352, 1815, 1707, 7933, 13166, 3296, 3568, 3454, 1315, 1232, 2252, 27168, 2461, 1105, 4140, 1233, 1796, 1274, 1108, 1518, 26206, 1243, 2495, 9905, 4140, 16996, 1347, 10652, 2207, 1136, 4189, 8408, 194, 12596, 3032, 2318, 262, 4802, 1130, 9905, 13848, 7478, 1545, 1214, 1232, 3167, 25083, 1757, 28807, 1657, 18003, 488, 125, 124, 133, 11453, 1461, 458, 150, 189, 262, 6954, 12209, 7747, 2499, 1320, 1783, 119, 1548, 1461, 197, 1205, 488, 124, 132, 125, 130, 119, 7934, 488, 127, 129, 127, 458, 127, 129, 129, 11759, 1374, 4189, 8519, 1634, 18718, 1255, 488, 124, 128, 125, 129, 31743, 488, 124, 128, 125, 130, 1576, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 12225, 5427, 1227, 11402, 25525, 6298, 106, 12225, 5427, 10816, 106, 155, 7849, 1902, 16509, 1188, 5348, 190, 10914, 106, 5347, 1125, 10544, 3000, 1494, 2100, 27283, 161, 25525, 6298, 116, 106, 153, 3400, 1188, 2397, 20181, 1334, 106, 31133, 1467, 1188, 1222, 1312, 1208, 106, 31133, 1467, 1186, 2921, 488, 124, 128, 131, 129, 32001, 488, 106, 32000, 20036, 106, 149, 1569, 1383, 1518, 1154, 1632, 29451, 20181, 7011, 488, 124, 128, 126, 124, 1329, 488, 124, 128, 126, 125, 1323, 1222, 1312, 175, 2765, 6942, 488, 124, 128, 131, 129, 116, 1463, 1110, 7927, 3481, 173, 11399, 1161, 1135, 27032, 121, 106, 106, 141, 180, 11114, 106, 106, 150, 1154, 1632, 22539, 1135, 14136, 3875, 2807, 1449, 1171, 8492, 1151, 29886, 7998, 2840, 1147, 3481, 173, 8809, 1324, 4852, 3157, 3032, 1122, 5784, 14113, 1765, 7427, 190, 1147, 488, 124, 128, 127, 132, 122, 128, 123, 119, 1386, 8627, 1226, 1643, 197, 1532, 8870, 179, 1516, 1147, 4670, 1219, 2683, 121, 2133, 1959, 30235, 1147, 1548, 1461, 197, 1205, 1171, 1325, 1123, 1665, 1620, 3296, 1192, 5057, 7557, 7277, 1147, 6556, 2468, 1386, 1463, 15157, 1163, 1135, 8719, 1121, 1943, 31427, 13913, 6482, 5161, 1171, 2164, 11185, 3195, 1302, 5080, 2075, 1765, 6470, 23981, 1285, 1463, 18326, 1163, 1765, 3069, 3041, 2133, 9969, 2441, 2717, 12146, 1446, 2315, 7412, 1765, 1559, 121, 106, 106, 6937, 488, 124, 128, 129, 124, 119, 1386, 8627, 1147, 5348, 190, 12579, 1296, 1110, 9702, 30640, 1634, 1712, 4880, 3312, 30640, 1634, 1712, 5664, 1147, 16957, 488, 124, 128, 129, 124, 1324, 1321, 1569, 1383, 18454, 1576, 1459, 488, 124, 128, 129, 124, 119, 1135, 1976, 1161, 1765, 15126, 3301, 1386, 18094, 1765, 3002, 1130, 1782, 2397, 20181, 7011, 2470, 1758, 1386, 30235, 1147, 1325, 1123, 1665, 1620, 3296, 1518, 1154, 1632, 13196, 15337, 2840, 1147, 5348, 190, 12579, 119, 1758, 1386, 7368, 4945, 4912, 1269, 2979, 1765, 6775, 121, 1459, 5348, 190, 12579, 119, 1386, 11992, 1185, 1796, 1156, 3035, 28299, 2536, 1296, 1110, 14350, 2811, 4223, 1105, 1163, 1135, 23578, 1161, 2397, 20181, 7011, 2197, 9684, 1162, 20857, 1163, 1135, 31381, 1161, 1233, 1342, 16154, 1147, 488, 124, 128, 129, 126, 119, 1171, 1110, 1131, 1532, 11403, 13480, 1163, 1135, 23578, 1161, 5348, 190, 12579, 1147, 488, 124, 128, 129, 127, 121, 2502, 6678, 488, 125, 128, 119, 488, 124, 128, 129, 129, 119, 1386, 20369, 1156, 1296, 6001, 3481, 173, 11399, 1147, 1135, 2424, 1161, 1135, 27384, 1121, 1147, 1222, 1312, 175, 2765, 2468, 1386, 2055, 1765, 3022, 23515, 121, 2133, 1463, 8304, 1163, 3139, 3172, 6086, 1297, 5182, 1161, 1765, 7667, 1701, 3575, 488, 124, 128, 129, 129, 120, 124, 128, 129, 131, 1463, 18627, 1121, 4847, 24632, 1135, 15155, 1659, 2000, 1959, 5559, 1446, 2397, 20181, 1334, 1171, 6470, 7905, 1135, 6001, 3481, 173, 11399, 1226, 1135, 17284, 3551, 21681, 1161, 1325, 1136, 197, 12579, 119, 4389, 10737, 1254, 1210, 1213, 9905, 1204, 4870, 1140, 2266, 1145, 9373, 7752, 488, 124, 128, 130, 127, 1163, 488, 124, 128, 130, 131, 119, 1518, 1154, 1632, 1463, 1693, 7428, 1449, 1518, 1141, 1436, 4020, 18772, 106, 106, 10488, 106, 106, 150, 1154, 1632, 11992, 3575, 488, 124, 123, 123, 123, 22316, 1972, 1147, 1222, 1312, 175, 2765, 2717, 1161, 1758, 1393, 2692, 1910, 1161, 1135, 1222, 1312, 8221, 10715, 1361, 4405, 121, 2068, 1510, 1324, 1765, 3945, 1121, 4020, 1153, 1659, 1518, 1154, 1632, 1239, 8261, 1135, 2481, 3283, 7927, 3481, 173, 11399, 1161, 1135, 27032, 121, 2133, 1115, 1129, 1765, 2220, 1163, 1135, 1321, 1569, 1383, 1518, 1154, 192, 234, 176, 9756, 1161, 7927, 3481, 19026, 2563, 20883, 1147, 488, 124, 132, 124, 125, 121, 106, 106, 3272, 6995, 106, 106, 141, 1164, 7474, 14650, 106, 146, 5597, 4966, 14650, 106, 158, 2012, 1105, 5011, 1171, 4017, 14650, 1222, 1312, 8221, 106, 106, 141, 4807, 11114, 106, 8321, 8756, 1163, 10948, 1325, 7963, 133, 1518, 1154, 10877, 1321, 1569, 1383, 121, 1459, 133, 4273, 1277, 1867, 7632, 1512, 7072, 4134, 6229, 7878, 1576, 24149, 488, 124, 125, 119, 22523, 1784, 1107, 1673, 15065, 2014, 7658, 17597, 488, 124, 132, 131, 123, 119, 1859, 5701, 488, 130, 123, 126, 6047, 1205, 10893, 1162, 1576, 2602, 1201, 1548, 186, 16642, 16694, 1518, 1154, 10877, 1321, 1569, 1383, 121, 1459, 133, 21586, 1352, 1815, 1707, 7890, 5108, 3568, 8619, 1222, 10989, 1161, 1922, 16179, 1446, 1645, 4290, 1406, 1163, 1135, 1202, 3714, 121, 8669, 1156, 1449, 13848, 7478, 1545, 1214, 1232, 1171, 25083, 1757, 28807, 1657, 24149, 488, 125, 124, 133, 11453, 1461, 12504, 189, 262, 6954, 12209, 7747, 2499, 1320, 1783, 119, 1548, 1461, 197, 1205, 488, 124, 132, 125, 130, 119, 5701, 488, 127, 129, 127, 120, 127, 129, 129, 6256, 7963, 3110, 3037, 488, 124, 128, 125, 129, 1329, 488, 124, 128, 125, 130, 1576, 106, 106, 1891, 9520, 106, 106, 26722, 9354, 190, 106, 106, 124, 129, 1276, 25128, 4532, 3481, 173, 11399, 106, 146, 5597, 3481, 173, 11399, 106, 155, 5339, 3258, 8158, 1324, 5348, 190, 12579, 106, 2029, 174, 8289, 10486, 3110, 1175, 124, 129, 1276, 14851, 116, 106, 141, 2589, 1147, 2397, 20181, 1334, 106, 143, 2295, 1147, 1222, 1312, 8221, 106, 2524, 1495, 1147, 6942, 488, 124, 128, 131, 129, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 149, 1569, 1383, 1518, 1154, 1632, 29451, 20181, 7011, 488, 124, 128, 126, 124, 1329, 488, 124, 128, 126, 125, 1323, 1222, 1312, 175, 2765, 6942, 488, 124, 128, 131, 129, 116, 1463, 1110, 7927, 3481, 173, 11399, 1161, 1135, 27032, 121, 106, 106, 141, 180, 11114, 106, 106, 150, 1154, 1632, 22539, 1135, 14136, 3875, 2807, 1449, 1171, 8492, 1151, 29886, 7998, 2840, 1147, 3481, 173, 8809, 1324, 4852, 3157, 3032, 1122, 5784, 14113, 1765, 7427, 190, 1147, 488, 124, 128, 127, 132, 122, 128, 123, 119, 1386, 8627, 1226, 1643, 197, 1532, 8870, 179, 1516, 1147, 4670, 1219, 2683, 121, 2133, 1959, 30235, 1147, 1548, 1461, 197, 1205, 1171, 1325, 1123, 1665, 1620, 3296, 1192, 5057, 7557, 7277, 1147, 6556, 2468, 1386, 1463, 15157, 1163, 1135, 8719, 1121, 1943, 31427, 13913, 6482, 5161, 1171, 2164, 11185, 3195, 1302, 5080, 2075, 1765, 6470, 23981, 1285, 1463, 18326, 1163, 1765, 3069, 3041, 2133, 9969, 2441, 2717, 12146, 1446, 2315, 7412, 1765, 1559, 121, 106, 106, 6937, 488, 124, 128, 129, 124, 119, 1386, 8627, 1147, 5348, 190, 12579, 1296, 1110, 9702, 30640, 1634, 1712, 4880, 3312, 30640, 1634, 1712, 5664, 1147, 16957, 488, 124, 128, 129, 124, 1324, 1321, 1569, 1383, 18454, 1576, 1459, 488, 124, 128, 129, 124, 119, 1135, 1976, 1161, 1765, 15126, 3301, 1386, 18094, 1765, 3002, 1130, 1782, 2397, 20181, 7011, 2470, 1758, 1386, 30235, 1147, 1325, 1123, 1665, 1620, 3296, 1518, 1154, 1632, 13196, 15337, 2840, 1147, 5348, 190, 12579, 119, 1758, 1386, 7368, 4945, 4912, 1269, 2979, 1765, 6775, 121, 1459, 5348, 190, 12579, 119, 1386, 11992, 1185, 1796, 1156, 3035, 28299, 2536, 1296, 1110, 14350, 2811, 4223, 1105, 1163, 1135, 23578, 1161, 2397, 20181, 7011, 2197, 9684, 1162, 20857, 1163, 1135, 31381, 1161, 1233, 1342, 16154, 1147, 488, 124, 128, 129, 126, 119, 1171, 1110, 1131, 1532, 11403, 13480, 1163, 1135, 23578, 1161, 5348, 190, 12579, 1147, 488, 124, 128, 129, 127, 121, 2502, 6678, 488, 125, 128, 119, 488, 124, 128, 129, 129, 119, 1386, 20369, 1156, 1296, 6001, 3481, 173, 11399, 1147, 1135, 2424, 1161, 1135, 27384, 1121, 1147, 1222, 1312, 175, 2765, 2468, 1386, 2055, 1765, 3022, 23515, 121, 2133, 1463, 8304, 1163, 3139, 3172, 6086, 1297, 5182, 1161, 1765, 7667, 1701, 3575, 488, 124, 128, 129, 129, 120, 124, 128, 129, 131, 1463, 18627, 1121, 4847, 24632, 1135, 15155, 1659, 2000, 1959, 5559, 1446, 2397, 20181, 1334, 1171, 6470, 7905, 1135, 6001, 3481, 173, 11399, 1226, 1135, 17284, 3551, 21681, 1161, 1325, 1136, 197, 12579, 119, 4389, 10737, 1254, 1210, 1213, 9905, 1204, 4870, 1140, 2266, 1145, 9373, 7752, 488, 124, 128, 130, 127, 1163, 488, 124, 128, 130, 131, 119, 1518, 1154, 1632, 1463, 1693, 7428, 1449, 1518, 1141, 1436, 4020, 18772, 106, 106, 10488, 106, 106, 150, 1154, 1632, 11992, 3575, 488, 124, 123, 123, 123, 22316, 1972, 1147, 1222, 1312, 175, 2765, 2717, 1161, 1758, 1393, 2692, 1910, 1161, 1135, 1222, 1312, 8221, 10715, 1361, 4405, 121, 2068, 1510, 1324, 1765, 3945, 1121, 4020, 1153, 1659, 1518, 1154, 1632, 1239, 8261, 1135, 2481, 3283, 7927, 3481, 173, 11399, 1161, 1135, 27032, 121, 2133, 1115, 1129, 1765, 2220, 1163, 1135, 1321, 1569, 1383, 1518, 1154, 192, 234, 176, 9756, 1161, 7927, 3481, 19026, 2563, 20883, 1147, 488, 124, 132, 124, 125, 121, 106, 106, 3272, 6995, 106, 106, 141, 1164, 7474, 14650, 106, 146, 5597, 4966, 14650, 106, 158, 2012, 1105, 5011, 1171, 4017, 14650, 1222, 1312, 8221, 106, 106, 141, 4807, 11114, 106, 8321, 8756, 1163, 10948, 1325, 7963, 133, 1518, 1154, 10877, 1321, 1569, 1383, 121, 1459, 133, 4273, 1277, 1867, 7632, 1512, 7072, 4134, 6229, 7878, 1576, 24149, 488, 124, 125, 119, 22523, 1784, 1107, 1673, 15065, 2014, 7658, 17597, 488, 124, 132, 131, 123, 119, 1859, 5701, 488, 130, 123, 126, 6047, 1205, 10893, 1162, 1576, 2602, 1201, 1548, 186, 16642, 16694, 1518, 1154, 10877, 1321, 1569, 1383, 121, 1459, 133, 21586, 1352, 1815, 1707, 7890, 5108, 3568, 8619, 1222, 10989, 1161, 1922, 16179, 1446, 1645, 4290, 1406, 1163, 1135, 1202, 3714, 121, 8669, 1156, 1449, 13848, 7478, 1545, 1214, 1232, 1171, 25083, 1757, 28807, 1657, 24149, 488, 125, 124, 133, 11453, 1461, 12504, 189, 262, 6954, 12209, 7747, 2499, 1320, 1783, 119, 1548, 1461, 197, 1205, 488, 124, 132, 125, 130, 119, 5701, 488, 127, 129, 127, 120, 127, 129, 129, 6256, 7963, 3110, 3037, 488, 124, 128, 125, 129, 1329, 488, 124, 128, 125, 130, 1576, 106, 106, 1891, 9520, 106, 106, 26722, 9354, 190, 106, 106, 124, 129, 1276, 25128, 4532, 3481, 173, 11399, 106, 146, 5597, 3481, 173, 11399, 106, 155, 5339, 3258, 8158, 1324, 5348, 190, 12579, 106, 2029, 174, 8289, 10486, 3110, 1175, 124, 129, 1276, 14851, 116, 106, 141, 2589, 1147, 2397, 20181, 1334, 106, 143, 2295, 1147, 1222, 1312, 8221, 106, 2524, 1495, 1147, 6942, 488, 124, 128, 131, 129, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 154, 13133, 6266, 1165, 2554, 15151, 9204, 1238, 7357, 488, 126, 123, 119, 488, 124, 131, 131, 125, 1147, 25623, 1171, 12743, 1238, 6678, 488, 124, 125, 119, 488, 124, 132, 124, 131, 1147, 24986, 6556, 1463, 1110, 9324, 15713, 1107, 1171, 12809, 2323, 121, 106, 106, 141, 180, 11114, 106, 3780, 1463, 1135, 12223, 1594, 1171, 20405, 1171, 2977, 3230, 1161, 18988, 31763, 2057, 1165, 2554, 15151, 1110, 17423, 196, 10387, 2333, 4592, 10847, 2000, 7905, 1110, 4839, 5254, 15632, 1161, 19289, 1226, 1135, 28509, 18664, 4407, 3582, 1147, 1135, 7612, 19289, 1147, 488, 124, 131, 132, 128, 121, 20123, 1589, 1355, 28319, 3176, 5761, 119, 1350, 13133, 6266, 1165, 2554, 4279, 21605, 5517, 1355, 2482, 25167, 4780, 21967, 119, 2468, 1386, 13196, 1765, 1138, 22781, 1361, 10375, 121, 2133, 14010, 1765, 11432, 1361, 21630, 2468, 1386, 7905, 1110, 1125, 24498, 3152, 7070, 2133, 23454, 1147, 27100, 12957, 2248, 1146, 2625, 9489, 1296, 2632, 1296, 1147, 22959, 1296, 1110, 6644, 1161, 1135, 4839, 5254, 12205, 2032, 5653, 1171, 1441, 30314, 3581, 1462, 13528, 1323, 1163, 7927, 1762, 30487, 6075, 3100, 1171, 1135, 4909, 26550, 1459, 488, 124, 132, 124, 127, 119, 4912, 1269, 2979, 1135, 2819, 1161, 5055, 6832, 19523, 1386, 14010, 1135, 2460, 1150, 1484, 25907, 21095, 3841, 1857, 3471, 10646, 1857, 1978, 2617, 1576, 7013, 18021, 4172, 1165, 2554, 4279, 7919, 4823, 1161, 1135, 3663, 19141, 1147, 7375, 1161, 7227, 1496, 1110, 9932, 10215, 3726, 1659, 1463, 14859, 1147, 9524, 1147, 2315, 1147, 488, 124, 132, 124, 128, 119, 2884, 5922, 2066, 1165, 2554, 15151, 1135, 2423, 6176, 1182, 1147, 1135, 4772, 1171, 1110, 4839, 5254, 13948, 1226, 2133, 196, 7439, 119, 1463, 14859, 1147, 1135, 25987, 1161, 7494, 6448, 7847, 1147, 28243, 1147, 488, 124, 132, 124, 128, 121, 1459, 488, 124, 132, 124, 129, 119, 1350, 13133, 6266, 1165, 2554, 4279, 1361, 1978, 2617, 1463, 15741, 1156, 1163, 27029, 1163, 19646, 1147, 9524, 4064, 1135, 20312, 3841, 14377, 21162, 1459, 488, 124, 132, 124, 130, 119, 1765, 8390, 1463, 13773, 1589, 2127, 1135, 488, 130, 1276, 1233, 2251, 1132, 1231, 1161, 1135, 2460, 1150, 1484, 25907, 13605, 12646, 1199, 1857, 1978, 2617, 121, 1410, 8585, 1132, 1231, 8456, 3872, 1147, 22224, 1314, 2979, 3026, 15741, 1156, 1163, 2315, 1147, 488, 124, 132, 124, 131, 121, 106, 106, 1428, 488, 124, 132, 124, 130, 119, 1765, 1131, 17604, 2000, 1463, 1539, 1452, 1488, 1121, 1161, 1135, 1222, 2547, 196, 1161, 30005, 3312, 1147, 6480, 1200, 183, 26993, 9605, 1361, 27646, 30482, 1463, 1186, 185, 1383, 2128, 1171, 3936, 1765, 17556, 1147, 1135, 6842, 1161, 26909, 1163, 2118, 1296, 4173, 1105, 1165, 2554, 4279, 1147, 1135, 6842, 1161, 12492, 1297, 1410, 4839, 5254, 12205, 7750, 1350, 13133, 6266, 1165, 2554, 4279, 1163, 3452, 1296, 1110, 15379, 1147, 1135, 14068, 1449, 9718, 2001, 121, 2133, 7570, 11298, 19270, 1110, 11163, 2243, 1446, 22224, 3603, 1238, 1135, 4488, 1302, 1386, 2876, 1375, 1537, 1163, 8031, 1765, 1978, 2617, 121, 1222, 1277, 1163, 1135, 3781, 27646, 3545, 6928, 23394, 20663, 1135, 20732, 1985, 12205, 10724, 1135, 30006, 12205, 12031, 1110, 15379, 4064, 12855, 7013, 2155, 22254, 1129, 1463, 1135, 29907, 1985, 12205, 7685, 1626, 121, 1254, 1141, 2775, 21247, 1324, 488, 130, 128, 121, 124, 112, 1161, 1135, 1873, 3212, 1350, 13133, 6266, 1165, 2554, 4279, 12778, 1156, 1449, 11163, 2243, 3108, 2000, 2055, 3577, 172, 5785, 1226, 2667, 18864, 1386, 20642, 1147, 22224, 1314, 1496, 1663, 2876, 1375, 1559, 1163, 12689, 121, 1988, 9548, 4945, 488, 124, 132, 124, 131, 1302, 1386, 1463, 19147, 8031, 119, 4912, 1269, 2470, 3026, 15741, 1156, 1163, 6556, 1163, 4246, 1163, 9485, 1171, 3139, 1765, 17556, 1147, 19289, 1226, 1135, 1940, 6605, 22155, 1765, 14277, 22053, 16770, 121, 2133, 2155, 30235, 14683, 1269, 2979, 21507, 1163, 1135, 13455, 19213, 121, 11043, 13237, 1163, 2195, 3697, 119, 1386, 1463, 14859, 1147, 9524, 1238, 6678, 488, 124, 125, 119, 488, 124, 132, 124, 131, 2043, 1135, 488, 130, 1276, 1233, 2251, 1132, 1231, 1161, 1135, 2460, 1150, 1484, 25907, 13605, 12646, 1199, 1857, 1978, 2617, 17468, 2127, 1110, 7927, 5890, 2955, 1171, 5559, 2670, 14259, 7729, 121, 23907, 1641, 1144, 21977, 1147, 1135, 1400, 5862, 1386, 1463, 4554, 1163, 8299, 8964, 9173, 10874, 1171, 1559, 1163, 3254, 3683, 2468, 1386, 22178, 6728, 1255, 5278, 1163, 1110, 1225, 2554, 19365, 1355, 1135, 7227, 1161, 488, 126, 128, 121, 7013, 5111, 1463, 1375, 3218, 4945, 5756, 1350, 2446, 1659, 1171, 1386, 1463, 9531, 2295, 1147, 1135, 2028, 1132, 1116, 1320, 1130, 1884, 1161, 1266, 1356, 1762, 6289, 1765, 18021, 4172, 121, 1410, 3337, 3343, 15285, 1393, 1856, 19727, 1589, 1449, 1110, 2226, 5700, 1147, 5206, 184, 1554, 1213, 9271, 119, 4230, 1135, 5796, 1431, 1161, 5206, 184, 1554, 1213, 2468, 19289, 25730, 133, 5922, 2066, 1171, 1350, 13133, 6266, 1296, 2197, 1161, 1135, 1226, 1433, 4922, 1807, 9324, 1215, 14456, 1662, 1220, 2000, 12743, 1147, 1135, 1325, 5567, 1171, 4172, 1296, 1135, 1594, 1161, 1151, 13948, 121, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 106, 106, 141, 7963, 1147, 7357, 488, 124, 131, 131, 125, 106, 2524, 1495, 1147, 6678, 488, 124, 132, 124, 131, 106, 11730, 3714, 1985, 1161, 12689, 1147, 1135, 6842, 1161, 26909, 106, 141, 1164, 7474, 19170, 5097, 3545, 5055, 6832, 1209, 106, 141, 1164, 7474, 10215, 5097, 14859, 1147, 9524, 3545, 5055, 6832, 1209, 106, 18406, 1161, 1135, 4839, 5254, 12205, 17440, 150, 116, 106, 18406, 1161, 1135, 488, 126, 123, 1276, 19289, 1161, 1135, 4909, 16983, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 126, 128, 32001, 488, 106, 32000, 20036, 106, 114, 154, 13133, 6266, 1165, 2554, 15151, 5252, 1170, 488, 126, 123, 2822, 488, 124, 131, 131, 125, 1188, 25623, 1167, 4541, 1170, 488, 124, 125, 3201, 488, 124, 132, 124, 131, 1313, 1170, 8030, 1125, 1158, 6556, 1299, 1189, 8420, 1128, 1167, 5598, 3657, 11181, 7165, 106, 106, 141, 11741, 106, 5164, 1299, 1170, 16934, 8658, 1167, 24501, 1167, 4755, 8751, 1125, 18988, 31763, 2057, 1165, 2554, 15151, 13397, 15069, 1125, 23689, 1357, 7354, 1186, 488, 124, 131, 132, 128, 20653, 2539, 8464, 1125, 1158, 25898, 1125, 28509, 18664, 1188, 1158, 15890, 1197, 8742, 1227, 12229, 1227, 16533, 3266, 2605, 2336, 4568, 1188, 28319, 3176, 5761, 119, 1350, 13133, 6266, 1165, 2554, 4279, 22589, 1214, 6349, 13400, 1317, 2482, 9168, 1125, 15714, 14609, 195, 29581, 1167, 1251, 18764, 1594, 19860, 1125, 5418, 7190, 1768, 29698, 10319, 1125, 1594, 28391, 2487, 1527, 7354, 8328, 23611, 11482, 121, 1768, 2368, 14189, 1313, 1197, 5736, 27100, 12957, 2248, 6087, 2442, 8688, 3657, 1186, 4083, 1309, 6711, 1227, 15211, 2539, 8464, 1300, 1170, 2678, 2032, 2726, 1167, 6273, 3713, 1323, 1186, 14345, 11438, 1186, 1459, 10645, 1317, 6075, 2114, 1571, 17941, 5068, 1653, 488, 124, 132, 124, 127, 119, 2774, 1996, 2567, 1170, 4319, 1125, 1158, 16880, 12507, 27213, 1527, 2368, 14189, 1313, 1158, 22405, 3841, 1857, 1175, 11336, 2617, 1125, 26296, 2007, 116, 1227, 2460, 1150, 1484, 179, 21162, 6218, 15722, 4172, 1165, 2554, 4279, 13037, 8483, 1197, 5999, 30615, 1186, 7779, 1304, 9666, 1496, 11894, 1125, 9245, 119, 1299, 30893, 1317, 9524, 4796, 488, 124, 132, 124, 128, 1186, 2315, 11781, 1309, 5922, 2066, 1165, 2554, 15151, 6311, 1125, 1158, 1360, 1128, 2348, 1167, 20653, 2539, 8464, 1125, 2133, 196, 7439, 119, 1299, 30893, 1188, 1158, 16535, 1125, 7494, 6448, 7847, 1186, 28237, 1186, 488, 124, 132, 124, 128, 121, 1653, 488, 124, 132, 124, 129, 1170, 2132, 2617, 14609, 13133, 6266, 1165, 2554, 4279, 1299, 20214, 244, 1186, 2605, 14378, 3212, 1256, 10848, 1571, 31304, 2714, 5613, 26875, 1143, 1824, 3841, 121, 1653, 488, 124, 132, 124, 130, 1594, 23859, 1299, 13773, 1303, 1317, 488, 130, 176, 12468, 9556, 1227, 2132, 2617, 21044, 4473, 18117, 4054, 20869, 1227, 2460, 1150, 1484, 179, 21162, 1548, 12468, 9556, 5909, 1910, 1571, 31304, 1186, 22224, 3603, 2567, 9033, 20214, 244, 1186, 2315, 1186, 488, 124, 132, 124, 131, 121, 106, 106, 1686, 488, 124, 132, 124, 130, 1594, 28391, 1270, 1452, 10468, 1227, 1227, 3134, 1125, 30005, 24251, 1313, 1170, 5987, 1125, 27646, 1125, 6480, 1200, 183, 26993, 4189, 1121, 4780, 1299, 1151, 1383, 31838, 1167, 21180, 1594, 9209, 1125, 20653, 1188, 1158, 15890, 1197, 8742, 1256, 1995, 1603, 1107, 1186, 4083, 1309, 488, 3688, 1105, 1165, 2554, 4279, 1188, 1158, 15890, 1197, 1115, 1404, 1297, 1548, 15211, 2539, 8464, 3221, 1188, 1350, 13133, 6266, 1165, 2554, 4279, 1125, 1281, 10243, 15599, 1188, 30690, 24084, 1357, 1186, 2022, 1203, 7017, 2932, 4755, 7988, 119, 1215, 5726, 1603, 3394, 1232, 3365, 2255, 8103, 2757, 1158, 22224, 3603, 1188, 4488, 1125, 1288, 1382, 2782, 1188, 18242, 1594, 2132, 2617, 121, 1653, 5169, 1125, 1158, 3828, 27646, 5277, 1186, 2658, 1125, 26634, 4206, 1170, 15211, 5416, 1793, 4206, 1170, 15211, 7606, 2038, 1288, 5004, 1125, 15599, 2714, 26467, 1768, 1110, 1256, 4374, 18754, 1369, 1170, 14698, 1227, 15211, 26728, 1533, 121, 1192, 1120, 2537, 18640, 1469, 488, 130, 128, 119, 124, 2199, 1197, 8945, 119, 1350, 13133, 6266, 1165, 2554, 4279, 21941, 1215, 5726, 1603, 3394, 1232, 4142, 1357, 2004, 1844, 9625, 1256, 2435, 1175, 17983, 2377, 244, 1256, 1561, 1910, 1186, 22224, 1314, 1496, 1723, 1288, 14065, 1382, 1186, 1645, 14691, 9770, 2932, 4249, 8688, 488, 124, 132, 124, 131, 3365, 27565, 2519, 12423, 119, 1996, 2750, 1594, 14038, 28409, 1186, 6556, 1256, 8920, 1188, 20024, 1167, 3131, 9230, 1256, 1158, 3453, 2768, 1594, 9209, 1125, 10961, 2357, 9142, 1594, 1189, 1221, 7966, 1125, 14277, 22053, 121, 1768, 11437, 4933, 1309, 21179, 4567, 2121, 2567, 1125, 22802, 1300, 1170, 5775, 1125, 14097, 12925, 121, 11043, 192, 6751, 8012, 1527, 1299, 30893, 1317, 9524, 1170, 488, 124, 125, 3201, 488, 124, 132, 124, 131, 4885, 1170, 488, 130, 176, 12468, 9556, 1227, 2132, 2617, 4473, 18117, 4054, 20869, 1227, 2460, 1150, 1484, 25907, 16360, 1313, 1189, 2166, 1130, 120, 1301, 1462, 10816, 1167, 1994, 1123, 1189, 8008, 17275, 121, 4787, 6858, 9814, 244, 1317, 2167, 4277, 1527, 1281, 1844, 1540, 7170, 7581, 1167, 5464, 1245, 1317, 3254, 3683, 2585, 1527, 31019, 1154, 2519, 9814, 1278, 1188, 1158, 15836, 17433, 1188, 19910, 1125, 488, 126, 128, 8793, 6218, 5773, 4249, 29564, 1309, 4319, 2822, 119, 1167, 1527, 1299, 14786, 11125, 1317, 30228, 2028, 1132, 1125, 1266, 1356, 1762, 1188, 11793, 1125, 1594, 15722, 4172, 121, 1808, 3203, 21849, 1508, 1497, 2035, 1121, 1234, 1215, 1189, 7520, 5700, 1188, 5206, 184, 1554, 1213, 9271, 119, 1313, 1282, 1419, 6544, 1227, 25986, 1125, 5206, 184, 1554, 1213, 2585, 9209, 1170, 12229, 1257, 5922, 2066, 1167, 1350, 13133, 6266, 1186, 4083, 1309, 2069, 1197, 5397, 2009, 3440, 2607, 14701, 1690, 11181, 2097, 19262, 1188, 1158, 10447, 2944, 1167, 4172, 1186, 4083, 1309, 8658, 1125, 10961, 3502, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1186, 2822, 488, 124, 131, 131, 125, 106, 31133, 1467, 1186, 3201, 488, 124, 132, 124, 131, 106, 1891, 30585, 1199, 1125, 23879, 19394, 1188, 1158, 15890, 1197, 8742, 106, 155, 7849, 1140, 1125, 21090, 1125, 7877, 14898, 3672, 1158, 16880, 12507, 10999, 106, 152, 1142, 4192, 14898, 4541, 1317, 9524, 2391, 1125, 1158, 16880, 12507, 10999, 106, 143, 244, 28668, 1227, 15211, 2539, 8464, 6700, 1487, 6630, 4917, 9630, 106, 143, 244, 28668, 1227, 488, 126, 123, 176, 12229, 1227, 21144, 106, 31133, 1467, 1188, 488, 126, 128, 2165, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 154, 13133, 6266, 1165, 2554, 15151, 5252, 1170, 488, 126, 123, 2822, 488, 124, 131, 131, 125, 1188, 25623, 1167, 4541, 1170, 488, 124, 125, 3201, 488, 124, 132, 124, 131, 1313, 1170, 8030, 1125, 1158, 6556, 1299, 1189, 8420, 1128, 1167, 5598, 3657, 11181, 7165, 106, 106, 141, 11741, 106, 5164, 1299, 1170, 16934, 8658, 1167, 24501, 1167, 4755, 8751, 1125, 18988, 31763, 2057, 1165, 2554, 15151, 13397, 15069, 1125, 23689, 1357, 7354, 1186, 488, 124, 131, 132, 128, 20653, 2539, 8464, 1125, 1158, 25898, 1125, 28509, 18664, 1188, 1158, 15890, 1197, 8742, 1227, 12229, 1227, 16533, 3266, 2605, 2336, 4568, 1188, 28319, 3176, 5761, 119, 1350, 13133, 6266, 1165, 2554, 4279, 22589, 1214, 6349, 13400, 1317, 2482, 9168, 1125, 15714, 14609, 195, 29581, 1167, 1251, 18764, 1594, 19860, 1125, 5418, 7190, 1768, 29698, 10319, 1125, 1594, 28391, 2487, 1527, 7354, 8328, 23611, 11482, 121, 1768, 2368, 14189, 1313, 1197, 5736, 27100, 12957, 2248, 6087, 2442, 8688, 3657, 1186, 4083, 1309, 6711, 1227, 15211, 2539, 8464, 1300, 1170, 2678, 2032, 2726, 1167, 6273, 3713, 1323, 1186, 14345, 11438, 1186, 1459, 10645, 1317, 6075, 2114, 1571, 17941, 5068, 1653, 488, 124, 132, 124, 127, 119, 2774, 1996, 2567, 1170, 4319, 1125, 1158, 16880, 12507, 27213, 1527, 2368, 14189, 1313, 1158, 22405, 3841, 1857, 1175, 11336, 2617, 1125, 26296, 2007, 116, 1227, 2460, 1150, 1484, 179, 21162, 6218, 15722, 4172, 1165, 2554, 4279, 13037, 8483, 1197, 5999, 30615, 1186, 7779, 1304, 9666, 1496, 11894, 1125, 9245, 119, 1299, 30893, 1317, 9524, 4796, 488, 124, 132, 124, 128, 1186, 2315, 11781, 1309, 5922, 2066, 1165, 2554, 15151, 6311, 1125, 1158, 1360, 1128, 2348, 1167, 20653, 2539, 8464, 1125, 2133, 196, 7439, 119, 1299, 30893, 1188, 1158, 16535, 1125, 7494, 6448, 7847, 1186, 28237, 1186, 488, 124, 132, 124, 128, 121, 1653, 488, 124, 132, 124, 129, 1170, 2132, 2617, 14609, 13133, 6266, 1165, 2554, 4279, 1299, 20214, 244, 1186, 2605, 14378, 3212, 1256, 10848, 1571, 31304, 2714, 5613, 26875, 1143, 1824, 3841, 121, 1653, 488, 124, 132, 124, 130, 1594, 23859, 1299, 13773, 1303, 1317, 488, 130, 176, 12468, 9556, 1227, 2132, 2617, 21044, 4473, 18117, 4054, 20869, 1227, 2460, 1150, 1484, 179, 21162, 1548, 12468, 9556, 5909, 1910, 1571, 31304, 1186, 22224, 3603, 2567, 9033, 20214, 244, 1186, 2315, 1186, 488, 124, 132, 124, 131, 121, 106, 106, 1686, 488, 124, 132, 124, 130, 1594, 28391, 1270, 1452, 10468, 1227, 1227, 3134, 1125, 30005, 24251, 1313, 1170, 5987, 1125, 27646, 1125, 6480, 1200, 183, 26993, 4189, 1121, 4780, 1299, 1151, 1383, 31838, 1167, 21180, 1594, 9209, 1125, 20653, 1188, 1158, 15890, 1197, 8742, 1256, 1995, 1603, 1107, 1186, 4083, 1309, 488, 3688, 1105, 1165, 2554, 4279, 1188, 1158, 15890, 1197, 1115, 1404, 1297, 1548, 15211, 2539, 8464, 3221, 1188, 1350, 13133, 6266, 1165, 2554, 4279, 1125, 1281, 10243, 15599, 1188, 30690, 24084, 1357, 1186, 2022, 1203, 7017, 2932, 4755, 7988, 119, 1215, 5726, 1603, 3394, 1232, 3365, 2255, 8103, 2757, 1158, 22224, 3603, 1188, 4488, 1125, 1288, 1382, 2782, 1188, 18242, 1594, 2132, 2617, 121, 1653, 5169, 1125, 1158, 3828, 27646, 5277, 1186, 2658, 1125, 26634, 4206, 1170, 15211, 5416, 1793, 4206, 1170, 15211, 7606, 2038, 1288, 5004, 1125, 15599, 2714, 26467, 1768, 1110, 1256, 4374, 18754, 1369, 1170, 14698, 1227, 15211, 26728, 1533, 121, 1192, 1120, 2537, 18640, 1469, 488, 130, 128, 119, 124, 2199, 1197, 8945, 119, 1350, 13133, 6266, 1165, 2554, 4279, 21941, 1215, 5726, 1603, 3394, 1232, 4142, 1357, 2004, 1844, 9625, 1256, 2435, 1175, 17983, 2377, 244, 1256, 1561, 1910, 1186, 22224, 1314, 1496, 1723, 1288, 14065, 1382, 1186, 1645, 14691, 9770, 2932, 4249, 8688, 488, 124, 132, 124, 131, 3365, 27565, 2519, 12423, 119, 1996, 2750, 1594, 14038, 28409, 1186, 6556, 1256, 8920, 1188, 20024, 1167, 3131, 9230, 1256, 1158, 3453, 2768, 1594, 9209, 1125, 10961, 2357, 9142, 1594, 1189, 1221, 7966, 1125, 14277, 22053, 121, 1768, 11437, 4933, 1309, 21179, 4567, 2121, 2567, 1125, 22802, 1300, 1170, 5775, 1125, 14097, 12925, 121, 11043, 192, 6751, 8012, 1527, 1299, 30893, 1317, 9524, 1170, 488, 124, 125, 3201, 488, 124, 132, 124, 131, 4885, 1170, 488, 130, 176, 12468, 9556, 1227, 2132, 2617, 4473, 18117, 4054, 20869, 1227, 2460, 1150, 1484, 25907, 16360, 1313, 1189, 2166, 1130, 120, 1301, 1462, 10816, 1167, 1994, 1123, 1189, 8008, 17275, 121, 4787, 6858, 9814, 244, 1317, 2167, 4277, 1527, 1281, 1844, 1540, 7170, 7581, 1167, 5464, 1245, 1317, 3254, 3683, 2585, 1527, 31019, 1154, 2519, 9814, 1278, 1188, 1158, 15836, 17433, 1188, 19910, 1125, 488, 126, 128, 8793, 6218, 5773, 4249, 29564, 1309, 4319, 2822, 119, 1167, 1527, 1299, 14786, 11125, 1317, 30228, 2028, 1132, 1125, 1266, 1356, 1762, 1188, 11793, 1125, 1594, 15722, 4172, 121, 1808, 3203, 21849, 1508, 1497, 2035, 1121, 1234, 1215, 1189, 7520, 5700, 1188, 5206, 184, 1554, 1213, 9271, 119, 1313, 1282, 1419, 6544, 1227, 25986, 1125, 5206, 184, 1554, 1213, 2585, 9209, 1170, 12229, 1257, 5922, 2066, 1167, 1350, 13133, 6266, 1186, 4083, 1309, 2069, 1197, 5397, 2009, 3440, 2607, 14701, 1690, 11181, 2097, 19262, 1188, 1158, 10447, 2944, 1167, 4172, 1186, 4083, 1309, 8658, 1125, 10961, 3502, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 153, 3400, 1186, 2822, 488, 124, 131, 131, 125, 106, 31133, 1467, 1186, 3201, 488, 124, 132, 124, 131, 106, 1891, 30585, 1199, 1125, 23879, 19394, 1188, 1158, 15890, 1197, 8742, 106, 155, 7849, 1140, 1125, 21090, 1125, 7877, 14898, 3672, 1158, 16880, 12507, 10999, 106, 152, 1142, 4192, 14898, 4541, 1317, 9524, 2391, 1125, 1158, 16880, 12507, 10999, 106, 143, 244, 28668, 1227, 15211, 2539, 8464, 6700, 1487, 6630, 4917, 9630, 106, 143, 244, 28668, 1227, 488, 126, 123, 176, 12229, 1227, 21144, 106, 31133, 1467, 1188, 488, 126, 128, 2165, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 3562, 1152, 8429, 8605, 2100, 1125, 3550, 2718, 172, 1299, 1189, 1865, 24815, 6255, 8446, 1188, 3550, 2718, 1810, 1300, 1158, 4813, 1125, 13598, 1124, 1125, 1222, 10685, 186, 28219, 16330, 3835, 192, 1535, 1810, 21593, 1576, 1768, 4113, 3144, 1188, 1158, 3837, 8605, 2100, 1151, 1960, 1304, 19346, 9046, 1183, 1810, 1906, 1309, 3702, 1318, 3419, 20438, 11528, 9046, 25666, 5760, 8446, 1188, 7311, 1172, 1811, 1125, 21739, 2036, 1548, 1865, 1281, 5209, 1300, 1189, 9108, 1186, 1113, 1849, 20869, 3338, 1195, 1348, 1317, 7758, 1215, 1170, 1177, 9895, 1334, 1539, 1292, 1124, 6930, 121, 6487, 1317, 7758, 1281, 2668, 1129, 1207, 4679, 2252, 1125, 1158, 1204, 2497, 172, 1167, 3985, 8200, 25529, 181, 2086, 16762, 1199, 1188, 3550, 2718, 2036, 3767, 8030, 1281, 5209, 1158, 16489, 1125, 15042, 1156, 1986, 1292, 186, 1167, 1188, 29487, 1158, 5646, 5277, 1266, 120, 126, 125, 123, 121, 1548, 1865, 1522, 2845, 1158, 1408, 20631, 18334, 5363, 1244, 11170, 1985, 1125, 23879, 4290, 1348, 8605, 23231, 106, 106, 31133, 26319, 1167, 10719, 1415, 1227, 1865, 488, 106, 3562, 1152, 8429, 8605, 2100, 1125, 3550, 2718, 172, 1299, 12381, 1125, 5228, 1226, 1585, 1286, 1186, 488, 124, 132, 131, 127, 121, 3767, 3285, 1125, 5031, 6530, 21407, 1158, 4446, 1200, 2128, 254, 119, 11535, 1197, 9108, 1285, 2367, 1317, 2574, 1189, 29680, 1125, 18334, 5363, 21844, 31976, 3370, 4249, 3042, 26190, 1125, 4418, 21856, 22571, 488, 125, 123, 123, 128, 121, 106, 106, 216, 1158, 3221, 1227, 19619, 4819, 25061, 31744, 1200, 2128, 254, 10837, 18328, 119, 1318, 3453, 9625, 1125, 10719, 3023, 2985, 26190, 1186, 488, 125, 123, 123, 128, 1215, 26341, 1227, 5450, 9330, 1306, 15376, 6348, 19085, 11903, 6077, 19841, 121, 11699, 1496, 23994, 1227, 11639, 16191, 6348, 19085, 1175, 4725, 3428, 1576, 3190, 20565, 1601, 7097, 1842, 15935, 2467, 1473, 1215, 1170, 31847, 1125, 10587, 1125, 1158, 1321, 12341, 1197, 22161, 1125, 8200, 25529, 120, 3562, 1204, 3383, 1357, 7039, 1125, 6469, 1300, 1170, 1865, 1189, 2511, 2510, 1125, 6406, 1125, 1158, 9876, 1810, 1186, 1408, 2335, 18836, 1125, 11556, 1623, 14717, 1313, 1158, 10000, 7697, 4436, 1125, 1282, 1740, 28567, 121, 1548, 12956, 15257, 1125, 8200, 25529, 120, 3562, 1204, 3383, 1844, 10721, 9408, 1197, 25809, 3143, 1304, 4683, 1170, 1865, 1571, 16017, 1186, 488, 125, 123, 124, 128, 121, 1548, 1865, 20293, 1571, 10428, 1186, 488, 125, 123, 124, 132, 121, 106, 106, 9688, 488, 106, 106, 2606, 1865, 24815, 6255, 1299, 20723, 1256, 1282, 1224, 11157, 1197, 2377, 1104, 2519, 3828, 1152, 8429, 1177, 7656, 1965, 6468, 17374, 21790, 28863, 19126, 1188, 1189, 13397, 11535, 1794, 18325, 1167, 1188, 1561, 2274, 1283, 13221, 1746, 1399, 3658, 1303, 1571, 4322, 1297, 20702, 6406, 1125, 1158, 1152, 8429, 2004, 1913, 10788, 1317, 11823, 3747, 1317, 5545, 1125, 1158, 10000, 7697, 4436, 17043, 3247, 2022, 3410, 1378, 116, 1125, 1440, 18836, 15498, 1227, 7092, 7480, 2402, 21162, 488, 106, 106, 155, 30550, 1207, 6406, 16970, 9395, 14765, 119, 15425, 2079, 1282, 1118, 7965, 1299, 1830, 1303, 2335, 2678, 11852, 1475, 4010, 2164, 1119, 4568, 1125, 3203, 1279, 243, 175, 14279, 4060, 7624, 1299, 1189, 1367, 1146, 5386, 21896, 1318, 7624, 1125, 5962, 1134, 3174, 2519, 6300, 30417, 1939, 3450, 1299, 20958, 1303, 1125, 18334, 5363, 6565, 18280, 1214, 1188, 1158, 2989, 1197, 18979, 1215, 1189, 20166, 1160, 1186, 1858, 1153, 1710, 1117, 6204, 1808, 1978, 16443, 19034, 1392, 1197, 18979, 1508, 11401, 1234, 1215, 1197, 6843, 1842, 7144, 29558, 488, 106, 106, 2606, 5059, 11401, 3193, 2367, 1186, 8077, 1197, 4523, 1346, 3754, 1109, 1837, 3497, 189, 6492, 1125, 1158, 5735, 16051, 1313, 23879, 4290, 6957, 1768, 1281, 19193, 3747, 2519, 8077, 11419, 2585, 1299, 31481, 1189, 1116, 1249, 7541, 1139, 1755, 1117, 2726, 11376, 26556, 26487, 7630, 12286, 1281, 5209, 1189, 1222, 1231, 1591, 1180, 20304, 1125, 1594, 1116, 1249, 7541, 1125, 10432, 196, 1312, 1167, 1125, 12975, 21793, 1167, 4399, 22014, 1571, 1805, 1500, 6431, 16052, 9310, 1167, 10891, 9484, 1808, 18334, 5363, 1485, 21897, 2445, 1207, 26556, 15150, 10723, 1125, 13370, 183, 19824, 18609, 1819, 21987, 1227, 11458, 1125, 28815, 4720, 2442, 11471, 18048, 5519, 1276, 1538, 172, 1125, 2069, 13061, 1125, 4392, 121, 106, 106, 17971, 20449, 1182, 1227, 1367, 1146, 5386, 3282, 1281, 5209, 1318, 7624, 1125, 14894, 1408, 15187, 1346, 1125, 2678, 13216, 1307, 1105, 3850, 1643, 2989, 1197, 18979, 12262, 1197, 2377, 1104, 2335, 11401, 10891, 1132, 1186, 1290, 1308, 121, 3698, 1157, 1125, 2008, 18392, 1281, 16552, 1197, 15489, 1151, 17935, 2585, 2004, 1913, 10072, 11244, 1197, 2377, 1104, 1125, 6843, 1842, 1167, 1125, 1290, 1308, 190, 11401, 3193, 1297, 4787, 3213, 1675, 16369, 1525, 1167, 6766, 1125, 11401, 2004, 1913, 11512, 1234, 1257, 13686, 1104, 11739, 1167, 1304, 1491, 11531, 119, 6766, 1520, 1287, 5899, 13570, 1525, 1125, 21359, 4133, 1186, 1557, 1829, 7207, 121, 1548, 2762, 1797, 4780, 1186, 6300, 119, 1313, 1207, 12065, 8918, 6796, 1125, 5087, 2377, 1104, 1125, 1557, 1829, 1167, 1125, 1805, 4834, 17009, 1309, 23887, 18742, 12808, 1227, 18836, 1299, 2743, 1188, 13969, 1215, 1158, 10719, 28812, 106, 106, 141, 13449, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 8935, 1125, 1158, 4813, 106, 29935, 1125, 5450, 9330, 1125, 8200, 25529, 120, 3562, 1204, 3383, 10741, 1276, 7551, 1197, 29472, 1167, 12466, 5102, 7165, 32001, 488, 106, 32000, 20036, 106, 1598, 12047, 1152, 8429, 1161, 3550, 2718, 172, 1239, 1151, 4687, 4735, 6898, 1865, 8452, 1147, 3550, 2718, 1810, 1147, 1135, 7389, 3258, 1161, 13598, 1124, 1125, 1222, 10685, 186, 28219, 16330, 3835, 192, 1535, 1810, 27240, 1576, 1988, 1239, 19737, 1163, 4113, 1163, 1135, 18534, 12047, 5100, 1161, 11528, 9046, 1183, 1810, 11294, 6612, 1163, 4129, 13011, 11528, 9046, 25666, 2098, 1280, 8452, 1147, 7311, 1172, 1811, 1125, 21739, 2036, 1410, 1865, 1239, 8452, 1238, 1110, 1185, 4459, 3438, 1273, 1149, 9108, 11126, 1156, 1163, 1135, 10553, 1449, 1135, 1539, 1292, 1124, 6930, 6419, 121, 20490, 10553, 1393, 1135, 1166, 6693, 1161, 1643, 1204, 2497, 172, 1171, 3985, 8200, 25529, 181, 2086, 22372, 1163, 3550, 2718, 2036, 3867, 1135, 10537, 1239, 1135, 21763, 1161, 15042, 1156, 1986, 1292, 186, 1171, 1163, 1135, 12961, 1239, 1135, 3781, 7248, 1266, 120, 126, 125, 123, 121, 1410, 1865, 21642, 1135, 10219, 11170, 1985, 18334, 172, 1146, 1161, 12047, 1645, 4290, 8389, 106, 106, 22525, 9111, 1171, 3572, 1342, 1162, 1161, 1135, 1865, 106, 1598, 12047, 1152, 8429, 1161, 3550, 2718, 172, 1463, 9732, 1641, 17447, 1147, 488, 124, 132, 131, 127, 121, 14113, 30401, 13035, 1135, 1200, 2128, 254, 21263, 1135, 18889, 1161, 1135, 4985, 119, 13431, 28680, 1110, 9959, 1161, 18334, 172, 17505, 3550, 2935, 2376, 4533, 1463, 15334, 1656, 4945, 488, 125, 123, 123, 128, 121, 106, 106, 5395, 1135, 3349, 1161, 1135, 9686, 1659, 25061, 31744, 1200, 2128, 254, 10837, 18328, 119, 1110, 1940, 3572, 1342, 1162, 8769, 1463, 15334, 1656, 1147, 488, 125, 123, 123, 128, 1449, 1135, 10840, 1161, 18868, 1926, 31051, 1161, 27240, 1175, 4725, 4232, 1496, 10840, 1161, 1165, 14803, 31051, 1161, 27240, 1175, 4725, 3428, 1576, 8587, 1206, 6395, 8769, 190, 2025, 17262, 1449, 1135, 8729, 1161, 10587, 1161, 1135, 3698, 3007, 1212, 12795, 1161, 8200, 2952, 5086, 3562, 3318, 1210, 1810, 1758, 7947, 1163, 1135, 26179, 1161, 1110, 3564, 2149, 1161, 12518, 1161, 1135, 1152, 8429, 1238, 1135, 7735, 1296, 2632, 1296, 1110, 5353, 1161, 3172, 14298, 190, 1147, 1135, 15317, 1910, 1161, 1135, 3381, 2241, 1410, 28623, 12016, 1161, 8200, 2952, 5086, 3562, 3318, 13889, 24288, 1135, 4985, 1163, 3275, 1135, 1865, 1163, 15846, 1147, 488, 125, 123, 124, 128, 121, 1410, 1865, 13032, 1163, 15846, 1147, 488, 125, 123, 124, 132, 121, 106, 106, 9688, 106, 106, 1598, 4687, 4735, 6898, 1865, 11395, 19847, 1161, 1135, 12034, 1161, 1110, 3564, 12047, 9876, 1810, 1151, 30401, 1171, 1170, 1120, 1278, 17134, 15940, 1226, 1110, 17423, 196, 4985, 16502, 1171, 1765, 3438, 1435, 9275, 1201, 4645, 1147, 1135, 3573, 1297, 29347, 1132, 18321, 1161, 1135, 1152, 8429, 1537, 2023, 1318, 1516, 2718, 119, 10115, 1147, 1135, 10000, 7697, 4436, 7919, 26826, 1910, 116, 1161, 1413, 15498, 5353, 1446, 1135, 1200, 1230, 14377, 21162, 106, 106, 13772, 1510, 1135, 30659, 18321, 1239, 15063, 3275, 1163, 1135, 1144, 7965, 16864, 1161, 1110, 11852, 18980, 2678, 2164, 2268, 1156, 1449, 3337, 1279, 1156, 189, 6631, 2192, 4959, 1239, 1110, 1367, 1146, 5386, 21896, 1110, 5962, 9871, 1166, 14111, 1324, 1151, 5457, 1161, 1905, 1939, 1988, 1239, 1113, 16483, 1324, 18334, 172, 17354, 12702, 1355, 1135, 2989, 1161, 1135, 26480, 1449, 1151, 1858, 1153, 1710, 8553, 2415, 2241, 1410, 14266, 1978, 16825, 1161, 1135, 26480, 1393, 15053, 1589, 1324, 7144, 1132, 1297, 106, 106, 1598, 15053, 1985, 2575, 6547, 1135, 4523, 1346, 1135, 14807, 1125, 2695, 1161, 31523, 15418, 1147, 1645, 4290, 8389, 1988, 7245, 1110, 2274, 12398, 2302, 1993, 1149, 1110, 19489, 2701, 4986, 6750, 20649, 27700, 3813, 1222, 1231, 1591, 1153, 26939, 2295, 1449, 1765, 2827, 19247, 1161, 10432, 7490, 190, 1171, 1423, 1108, 1217, 1285, 1171, 6750, 3494, 1785, 1324, 6180, 23579, 1171, 8082, 2712, 4078, 1297, 1410, 18334, 172, 3674, 1959, 2302, 1993, 15150, 6898, 27700, 2536, 1296, 1135, 1522, 3409, 1161, 8670, 2765, 1135, 29583, 1161, 6721, 1171, 1110, 16632, 1161, 1110, 2197, 2010, 3030, 2533, 1192, 9657, 2036, 106, 106, 3138, 1135, 1139, 1249, 22629, 1161, 1135, 1367, 1146, 5386, 3282, 1239, 1110, 13830, 13216, 11596, 1132, 29591, 1410, 2989, 1161, 1135, 26480, 3431, 1878, 185, 1701, 1161, 1110, 19080, 1132, 2712, 4078, 1147, 1290, 24542, 2181, 1922, 1615, 2484, 18321, 1393, 24514, 12582, 1201, 2468, 1878, 185, 1701, 1161, 10154, 1972, 1171, 15053, 1985, 1290, 1308, 6271, 1537, 2023, 17382, 3078, 9453, 1131, 2570, 1972, 1171, 15053, 1985, 6520, 1537, 2023, 3218, 133, 4784, 1171, 5936, 4184, 16644, 1346, 25214, 4907, 1285, 13570, 1525, 1161, 21359, 4133, 1147, 7502, 1557, 1599, 121, 4608, 3226, 19579, 1147, 12438, 1149, 12000, 1161, 15130, 1557, 1599, 1171, 15053, 1985, 12034, 19902, 1302, 1135, 3983, 20062, 1161, 1135, 5353, 1239, 3517, 1163, 1280, 14452, 1449, 3572, 1342, 2392, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 106, 152, 6432, 3258, 2901, 106, 147, 1107, 13769, 3744, 1161, 8200, 2952, 5086, 3562, 3318, 13889, 10370, 5067, 1161, 9686, 1429, 1171, 5102, 1146, 3399, 2392, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 12047, 1152, 8429, 1161, 3550, 2718, 172, 1239, 1151, 4687, 4735, 6898, 1865, 8452, 1147, 3550, 2718, 1810, 1147, 1135, 7389, 3258, 1161, 13598, 1124, 1125, 1222, 10685, 186, 28219, 16330, 3835, 192, 1535, 1810, 27240, 1576, 1988, 1239, 19737, 1163, 4113, 1163, 1135, 18534, 12047, 5100, 1161, 11528, 9046, 1183, 1810, 11294, 6612, 1163, 4129, 13011, 11528, 9046, 25666, 2098, 1280, 8452, 1147, 7311, 1172, 1811, 1125, 21739, 2036, 1410, 1865, 1239, 8452, 1238, 1110, 1185, 4459, 3438, 1273, 1149, 9108, 11126, 1156, 1163, 1135, 10553, 1449, 1135, 1539, 1292, 1124, 6930, 6419, 121, 20490, 10553, 1393, 1135, 1166, 6693, 1161, 1643, 1204, 2497, 172, 1171, 3985, 8200, 25529, 181, 2086, 22372, 1163, 3550, 2718, 2036, 3867, 1135, 10537, 1239, 1135, 21763, 1161, 15042, 1156, 1986, 1292, 186, 1171, 1163, 1135, 12961, 1239, 1135, 3781, 7248, 1266, 120, 126, 125, 123, 121, 1410, 1865, 21642, 1135, 10219, 11170, 1985, 18334, 172, 1146, 1161, 12047, 1645, 4290, 8389, 106, 106, 22525, 9111, 1171, 3572, 1342, 1162, 1161, 1135, 1865, 106, 1598, 12047, 1152, 8429, 1161, 3550, 2718, 172, 1463, 9732, 1641, 17447, 1147, 488, 124, 132, 131, 127, 121, 14113, 30401, 13035, 1135, 1200, 2128, 254, 21263, 1135, 18889, 1161, 1135, 4985, 119, 13431, 28680, 1110, 9959, 1161, 18334, 172, 17505, 3550, 2935, 2376, 4533, 1463, 15334, 1656, 4945, 488, 125, 123, 123, 128, 121, 106, 106, 5395, 1135, 3349, 1161, 1135, 9686, 1659, 25061, 31744, 1200, 2128, 254, 10837, 18328, 119, 1110, 1940, 3572, 1342, 1162, 8769, 1463, 15334, 1656, 1147, 488, 125, 123, 123, 128, 1449, 1135, 10840, 1161, 18868, 1926, 31051, 1161, 27240, 1175, 4725, 4232, 1496, 10840, 1161, 1165, 14803, 31051, 1161, 27240, 1175, 4725, 3428, 1576, 8587, 1206, 6395, 8769, 190, 2025, 17262, 1449, 1135, 8729, 1161, 10587, 1161, 1135, 3698, 3007, 1212, 12795, 1161, 8200, 2952, 5086, 3562, 3318, 1210, 1810, 1758, 7947, 1163, 1135, 26179, 1161, 1110, 3564, 2149, 1161, 12518, 1161, 1135, 1152, 8429, 1238, 1135, 7735, 1296, 2632, 1296, 1110, 5353, 1161, 3172, 14298, 190, 1147, 1135, 15317, 1910, 1161, 1135, 3381, 2241, 1410, 28623, 12016, 1161, 8200, 2952, 5086, 3562, 3318, 13889, 24288, 1135, 4985, 1163, 3275, 1135, 1865, 1163, 15846, 1147, 488, 125, 123, 124, 128, 121, 1410, 1865, 13032, 1163, 15846, 1147, 488, 125, 123, 124, 132, 121, 106, 106, 9688, 106, 106, 1598, 4687, 4735, 6898, 1865, 11395, 19847, 1161, 1135, 12034, 1161, 1110, 3564, 12047, 9876, 1810, 1151, 30401, 1171, 1170, 1120, 1278, 17134, 15940, 1226, 1110, 17423, 196, 4985, 16502, 1171, 1765, 3438, 1435, 9275, 1201, 4645, 1147, 1135, 3573, 1297, 29347, 1132, 18321, 1161, 1135, 1152, 8429, 1537, 2023, 1318, 1516, 2718, 119, 10115, 1147, 1135, 10000, 7697, 4436, 7919, 26826, 1910, 116, 1161, 1413, 15498, 5353, 1446, 1135, 1200, 1230, 14377, 21162, 106, 106, 13772, 1510, 1135, 30659, 18321, 1239, 15063, 3275, 1163, 1135, 1144, 7965, 16864, 1161, 1110, 11852, 18980, 2678, 2164, 2268, 1156, 1449, 3337, 1279, 1156, 189, 6631, 2192, 4959, 1239, 1110, 1367, 1146, 5386, 21896, 1110, 5962, 9871, 1166, 14111, 1324, 1151, 5457, 1161, 1905, 1939, 1988, 1239, 1113, 16483, 1324, 18334, 172, 17354, 12702, 1355, 1135, 2989, 1161, 1135, 26480, 1449, 1151, 1858, 1153, 1710, 8553, 2415, 2241, 1410, 14266, 1978, 16825, 1161, 1135, 26480, 1393, 15053, 1589, 1324, 7144, 1132, 1297, 106, 106, 1598, 15053, 1985, 2575, 6547, 1135, 4523, 1346, 1135, 14807, 1125, 2695, 1161, 31523, 15418, 1147, 1645, 4290, 8389, 1988, 7245, 1110, 2274, 12398, 2302, 1993, 1149, 1110, 19489, 2701, 4986, 6750, 20649, 27700, 3813, 1222, 1231, 1591, 1153, 26939, 2295, 1449, 1765, 2827, 19247, 1161, 10432, 7490, 190, 1171, 1423, 1108, 1217, 1285, 1171, 6750, 3494, 1785, 1324, 6180, 23579, 1171, 8082, 2712, 4078, 1297, 1410, 18334, 172, 3674, 1959, 2302, 1993, 15150, 6898, 27700, 2536, 1296, 1135, 1522, 3409, 1161, 8670, 2765, 1135, 29583, 1161, 6721, 1171, 1110, 16632, 1161, 1110, 2197, 2010, 3030, 2533, 1192, 9657, 2036, 106, 106, 3138, 1135, 1139, 1249, 22629, 1161, 1135, 1367, 1146, 5386, 3282, 1239, 1110, 13830, 13216, 11596, 1132, 29591, 1410, 2989, 1161, 1135, 26480, 3431, 1878, 185, 1701, 1161, 1110, 19080, 1132, 2712, 4078, 1147, 1290, 24542, 2181, 1922, 1615, 2484, 18321, 1393, 24514, 12582, 1201, 2468, 1878, 185, 1701, 1161, 10154, 1972, 1171, 15053, 1985, 1290, 1308, 6271, 1537, 2023, 17382, 3078, 9453, 1131, 2570, 1972, 1171, 15053, 1985, 6520, 1537, 2023, 3218, 133, 4784, 1171, 5936, 4184, 16644, 1346, 25214, 4907, 1285, 13570, 1525, 1161, 21359, 4133, 1147, 7502, 1557, 1599, 121, 4608, 3226, 19579, 1147, 12438, 1149, 12000, 1161, 15130, 1557, 1599, 1171, 15053, 1985, 12034, 19902, 1302, 1135, 3983, 20062, 1161, 1135, 5353, 1239, 3517, 1163, 1280, 14452, 1449, 3572, 1342, 2392, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 106, 152, 6432, 3258, 2901, 106, 147, 1107, 13769, 3744, 1161, 8200, 2952, 5086, 3562, 3318, 13889, 10370, 5067, 1161, 9686, 1429, 1171, 5102, 1146, 3399, 2392, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 155, 3724, 7572, 243, 18489, 5252, 1170, 488, 124, 128, 3201, 488, 124, 132, 123, 127, 1188, 6280, 1205, 1105, 3835, 5200, 1109, 1210, 1314, 116, 1167, 4541, 1170, 488, 125, 2822, 488, 124, 132, 132, 124, 1188, 16049, 7194, 2916, 1208, 1496, 1299, 1189, 4392, 4491, 1369, 1167, 5598, 3657, 24610, 106, 106, 141, 11741, 488, 106, 145, 2312, 2335, 5495, 1125, 31718, 1125, 14706, 2806, 1279, 1107, 13503, 1313, 1207, 9644, 3939, 5612, 7572, 243, 1897, 8295, 1197, 8787, 26487, 1188, 14673, 119, 1304, 12736, 1299, 30530, 1561, 19308, 2648, 1317, 1200, 5451, 1303, 7422, 1170, 5623, 119, 1188, 18994, 1768, 16853, 1215, 1197, 8787, 1125, 3090, 1167, 1125, 11733, 7254, 6565, 2567, 1304, 1811, 7170, 10028, 1317, 23025, 1125, 6280, 1205, 2114, 1188, 3862, 1125, 488, 124, 132, 126, 123, 1167, 22571, 488, 124, 132, 126, 128, 121, 106, 106, 22507, 1170, 2076, 9058, 1527, 16853, 1594, 2498, 1125, 25571, 1167, 18764, 1189, 11622, 1128, 1186, 488, 124, 132, 126, 127, 121, 2576, 5304, 2419, 7352, 4716, 20780, 1300, 1170, 5923, 1227, 29033, 1186, 1459, 4891, 1210, 1314, 1256, 1561, 1181, 243, 5650, 1527, 18764, 1189, 8536, 1125, 10502, 1125, 5601, 1317, 10610, 1125, 27818, 24838, 2567, 9033, 12688, 1317, 12033, 1125, 12700, 1197, 27103, 2487, 1527, 1299, 20975, 1125, 488, 124, 132, 126, 128, 1188, 488, 124, 132, 126, 132, 121, 106, 106, 22507, 1816, 4927, 119, 1527, 1299, 9993, 1304, 4650, 18325, 1918, 1134, 3174, 1170, 16487, 5252, 186, 2059, 2654, 2038, 1125, 13033, 9484, 1768, 7354, 119, 1186, 488, 124, 132, 126, 130, 119, 4637, 1197, 1572, 1145, 11393, 1125, 14141, 30591, 22930, 8012, 1723, 8605, 1595, 1469, 1207, 5252, 1180, 4188, 3041, 1768, 15458, 3042, 1561, 5865, 4643, 2071, 1606, 1170, 1204, 30190, 1227, 5146, 3056, 4821, 488, 106, 106, 152, 3367, 4160, 1186, 488, 124, 132, 126, 132, 119, 1527, 1835, 2750, 1594, 5464, 1188, 1158, 2492, 10015, 1313, 1170, 13078, 1227, 6513, 1125, 5613, 19354, 11088, 1202, 1630, 5485, 1856, 8328, 21860, 119, 1167, 1188, 1440, 3694, 1299, 12688, 11566, 1327, 3401, 1130, 1186, 488, 124, 132, 127, 124, 121, 6218, 18013, 1313, 1170, 3151, 28674, 13283, 1262, 2038, 1299, 4275, 4160, 1215, 1909, 11047, 15975, 3130, 1183, 1221, 4195, 2567, 6545, 121, 1321, 1839, 244, 4202, 25311, 8553, 1188, 1282, 9848, 2851, 1527, 1299, 11103, 3175, 1120, 1125, 1909, 2321, 1285, 1167, 9829, 1215, 1207, 24625, 2082, 190, 1186, 488, 124, 132, 127, 126, 119, 1167, 12048, 1275, 1715, 2357, 14867, 1188, 1233, 2547, 1108, 194, 1132, 5242, 2648, 1188, 1222, 1519, 22514, 106, 106, 14149, 5364, 1186, 488, 124, 132, 127, 128, 119, 1527, 1177, 2214, 1186, 2315, 1167, 2368, 3173, 5738, 1188, 13033, 9484, 15293, 1468, 2121, 1527, 1844, 3247, 1197, 25662, 1167, 1113, 1174, 1479, 183, 23533, 1357, 8314, 1129, 1125, 1338, 21812, 2177, 1158, 10005, 1125, 1202, 1630, 11431, 1768, 9209, 1317, 4921, 1125, 14141, 7514, 1965, 2487, 1527, 1838, 1468, 1158, 6086, 1125, 5444, 23456, 1125, 488, 124, 132, 127, 130, 1188, 488, 124, 132, 128, 126, 121, 1653, 488, 124, 132, 128, 124, 119, 9993, 1125, 14141, 1197, 24335, 30802, 1167, 22930, 1925, 1125, 10759, 3122, 2589, 2433, 1527, 26834, 1318, 4575, 1125, 10793, 1256, 1207, 13118, 8447, 19137, 1167, 18764, 488, 124, 125, 119, 130, 2199, 1197, 8945, 119, 1440, 1357, 11616, 1188, 1170, 1982, 2873, 1229, 10961, 3502, 31128, 1227, 3274, 1227, 6508, 23645, 1167, 23837, 8446, 1188, 2143, 6196, 1527, 1299, 3747, 28262, 21467, 1125, 1158, 6086, 11697, 8622, 1300, 1207, 12420, 1125, 16271, 16939, 24740, 1125, 488, 124, 132, 128, 123, 121, 26706, 1207, 4502, 12006, 1188, 1282, 2437, 1112, 3046, 1659, 1527, 2368, 1292, 1153, 1373, 1215, 1318, 16035, 15147, 1188, 1158, 3591, 1186, 2320, 2519, 28130, 5913, 1197, 2264, 5291, 1186, 488, 124, 132, 128, 125, 121, 1768, 1288, 1281, 28606, 1215, 12168, 1382, 1197, 11326, 1125, 1158, 10793, 5416, 7886, 3672, 2797, 1158, 8447, 1861, 121, 1768, 1299, 8328, 2335, 26412, 10960, 11493, 1778, 4042, 2720, 1346, 9505, 21258, 244, 2315, 17291, 2750, 1561, 14853, 1469, 5294, 10224, 1186, 2578, 488, 124, 132, 128, 124, 121, 1768, 16810, 31772, 3702, 1909, 1106, 4505, 1188, 1158, 10005, 1125, 11088, 1202, 1630, 11431, 106, 106, 1686, 488, 124, 132, 128, 129, 119, 1158, 4575, 3365, 26834, 2551, 1383, 5026, 1309, 488, 132, 2199, 1197, 8945, 119, 1440, 1357, 1299, 18535, 8985, 1256, 9815, 1561, 1338, 7771, 121, 1768, 21180, 3042, 1158, 10251, 20237, 3701, 1667, 1186, 26349, 12904, 25485, 1300, 1197, 8744, 7254, 6565, 2968, 2388, 3747, 27542, 17276, 5964, 1167, 1188, 1440, 23527, 8780, 1170, 5464, 1125, 8179, 1125, 29539, 1126, 1317, 3937, 119, 5915, 1199, 1309, 1207, 3220, 1125, 1594, 4539, 2052, 1278, 4086, 25392, 6650, 1125, 1202, 1630, 1262, 1186, 488, 124, 132, 127, 123, 121, 1768, 20861, 1189, 8536, 1313, 18472, 119, 1317, 5545, 1227, 10610, 1197, 10934, 4199, 10772, 1768, 1299, 31428, 1125, 488, 124, 132, 128, 129, 1188, 488, 124, 132, 128, 132, 119, 8328, 1125, 19473, 21881, 7568, 1167, 2129, 5907, 106, 106, 2951, 1158, 18908, 1527, 2368, 20831, 2042, 1125, 1158, 2492, 3657, 121, 106, 106, 20634, 1167, 5474, 106, 106, 158, 3249, 488, 106, 141, 11741, 1300, 1170, 1865, 1125, 23423, 5277, 106, 5403, 3076, 1304, 14709, 6624, 16358, 106, 8220, 5787, 8870, 4748, 1643, 12507, 1197, 2143, 3077, 1257, 1125, 17569, 1369, 1222, 9599, 177, 1153, 1188, 2425, 13872, 1350, 1331, 1126, 20330, 119, 488, 125, 123, 123, 130, 106, 106, 153, 3400, 1186, 3201, 488, 124, 132, 123, 127, 106, 31133, 1467, 1186, 2822, 488, 124, 132, 132, 124, 106, 143, 244, 28668, 1125, 1158, 1293, 2916, 1208, 106, 31133, 1467, 1188, 488, 131, 130, 2165, 114, 32001, 488, 106, 32000, 20036, 106, 155, 3724, 7572, 243, 18489, 9204, 1238, 6678, 488, 124, 128, 119, 488, 124, 132, 123, 127, 1147, 6280, 1205, 1105, 3835, 5200, 1109, 1210, 3382, 116, 1171, 12743, 1238, 7357, 488, 125, 119, 488, 124, 132, 132, 124, 1147, 16049, 7194, 2916, 1208, 1496, 1463, 1110, 9197, 12546, 6805, 28558, 1171, 12809, 2323, 121, 106, 106, 141, 180, 11114, 106, 158, 1105, 1161, 1110, 5495, 1161, 2533, 3875, 19958, 4645, 1147, 1135, 9644, 3939, 5612, 7572, 243, 1897, 21605, 1355, 14673, 119, 2468, 1765, 4772, 3425, 12305, 1171, 2491, 1355, 1135, 1200, 5451, 1303, 7422, 1170, 5623, 1147, 18994, 2133, 12702, 1324, 11569, 1147, 3876, 1171, 7468, 31010, 2979, 15851, 1355, 1135, 2533, 3875, 1147, 6280, 1205, 1105, 1446, 488, 124, 132, 126, 123, 1163, 488, 124, 132, 126, 128, 121, 106, 106, 5395, 1135, 2994, 6605, 1386, 12702, 1765, 4533, 1870, 1171, 13196, 1110, 11622, 1230, 1147, 488, 124, 132, 126, 127, 121, 1410, 3602, 8641, 5292, 8627, 1238, 1135, 6215, 1161, 1177, 1443, 1147, 1459, 4891, 1210, 3382, 1226, 1765, 1181, 1104, 3366, 1386, 13196, 1110, 3620, 1296, 1110, 5601, 18796, 1355, 1135, 22989, 1161, 4966, 10066, 1762, 2979, 3026, 22951, 1163, 1135, 22716, 7673, 9040, 2772, 5729, 1965, 1161, 1758, 1386, 1463, 20975, 1446, 488, 124, 132, 126, 128, 1163, 488, 124, 132, 126, 132, 121, 106, 106, 143, 6129, 1413, 30467, 1386, 1463, 6195, 1163, 2571, 18325, 1918, 1134, 3174, 1135, 1288, 186, 2059, 2654, 1267, 2277, 1121, 1161, 13033, 9484, 1459, 488, 124, 132, 126, 130, 119, 1386, 7905, 1135, 10283, 1161, 1135, 15681, 1161, 1135, 21500, 9597, 1267, 1814, 4986, 1663, 10874, 25373, 5064, 1446, 1135, 1288, 8318, 2133, 2491, 20883, 1765, 3022, 9694, 2071, 14041, 21576, 1160, 1161, 9597, 8559, 3154, 4095, 106, 106, 152, 3367, 2928, 1147, 488, 124, 132, 126, 132, 119, 1386, 17032, 1135, 7079, 1161, 1135, 3228, 1161, 21362, 11088, 1202, 1630, 5485, 2470, 1765, 1559, 1163, 6805, 2323, 3901, 1296, 1125, 24498, 3152, 4834, 1171, 1463, 22951, 1994, 3130, 2462, 1363, 1147, 488, 124, 132, 127, 124, 121, 7013, 7936, 2127, 1135, 15942, 18950, 1161, 1135, 1202, 1630, 1262, 1267, 22882, 1463, 17493, 1589, 1449, 1765, 15975, 3130, 1183, 1221, 1267, 7559, 1525, 2979, 1135, 6928, 121, 11597, 5569, 4397, 25311, 8553, 1163, 1135, 7723, 4280, 1386, 1463, 15220, 26832, 1156, 1446, 1765, 2221, 1285, 24034, 1449, 1135, 28047, 1220, 1147, 488, 124, 132, 127, 126, 119, 1171, 9750, 1125, 2284, 11298, 1940, 1163, 1233, 2547, 1108, 194, 1132, 5242, 2491, 1163, 1222, 1519, 22514, 106, 106, 1891, 1126, 3245, 1147, 488, 124, 132, 127, 128, 119, 1386, 9553, 1163, 2315, 1171, 31157, 1147, 13033, 9484, 28629, 3733, 1386, 1463, 5684, 1135, 6601, 4045, 1171, 1113, 1174, 1479, 3510, 1201, 2000, 29075, 1163, 1169, 21812, 30835, 1202, 1630, 1262, 1361, 9329, 121, 2133, 10432, 1238, 1135, 9404, 1161, 1135, 9197, 1814, 4986, 1161, 1758, 1386, 1270, 30756, 1135, 3033, 6086, 1446, 488, 124, 132, 127, 130, 1163, 488, 124, 132, 128, 126, 121, 1459, 488, 124, 132, 128, 124, 119, 6195, 1163, 1135, 8006, 1161, 24747, 1129, 1171, 21500, 4966, 190, 1161, 10759, 3122, 2589, 2433, 1386, 7947, 1110, 2626, 4817, 1149, 2396, 1226, 1135, 12110, 1985, 11827, 1285, 5994, 1149, 488, 124, 125, 121, 130, 112, 1161, 1135, 7086, 1346, 1758, 1463, 5400, 1226, 2667, 1163, 1280, 21247, 1296, 1110, 1125, 1481, 2305, 1192, 6644, 1161, 1135, 7978, 21327, 1171, 9597, 25182, 8452, 1238, 1135, 20417, 1386, 1463, 1375, 4835, 12497, 3130, 27228, 1161, 1135, 19164, 25318, 6086, 1238, 1135, 7408, 1147, 1209, 193, 1696, 18819, 1147, 488, 124, 132, 128, 123, 121, 1459, 4125, 1163, 4502, 7633, 1163, 1135, 1350, 6028, 4277, 1386, 23510, 2718, 9360, 1449, 9822, 16035, 1163, 1135, 12735, 1160, 1161, 1110, 3438, 6561, 10120, 1161, 1144, 1741, 1147, 488, 124, 132, 128, 125, 121, 25961, 1386, 2876, 1375, 2685, 1446, 1135, 11326, 1161, 1135, 31967, 2626, 8568, 1135, 12110, 1861, 121, 2133, 1463, 1135, 11299, 1161, 1110, 2801, 2323, 3255, 3733, 8397, 30206, 1325, 8799, 1523, 2674, 5417, 1235, 20327, 2315, 109, 2470, 2019, 4592, 2104, 1324, 29900, 13228, 109, 1147, 7286, 488, 124, 132, 128, 124, 121, 14865, 1163, 1765, 3022, 8664, 1285, 1386, 20642, 13413, 2420, 1163, 1135, 9329, 1161, 11088, 1202, 1630, 11431, 106, 106, 1428, 488, 124, 132, 128, 129, 119, 1135, 2396, 1386, 7947, 2155, 13196, 488, 132, 112, 1161, 1135, 7086, 1346, 1758, 1463, 18535, 8383, 1163, 7640, 1765, 1169, 9718, 2001, 121, 2133, 2491, 3936, 1135, 14202, 11185, 11758, 178, 3476, 2884, 22648, 1163, 6071, 1238, 7468, 6558, 1285, 1375, 4835, 1683, 4258, 9197, 2068, 2104, 1575, 1171, 11744, 16657, 1135, 1559, 1161, 8179, 1125, 29539, 1126, 1163, 30472, 4573, 6479, 1302, 1135, 3220, 1161, 1765, 4539, 2052, 1278, 25181, 3108, 1161, 1202, 1630, 1262, 1147, 488, 124, 132, 127, 123, 121, 2133, 1432, 1255, 1156, 1110, 3620, 1147, 1135, 10932, 119, 4230, 1135, 22989, 1161, 21819, 7990, 1491, 1297, 2133, 1463, 1375, 4835, 1446, 488, 124, 132, 128, 129, 1163, 488, 124, 132, 128, 132, 119, 11299, 1161, 1135, 9921, 1161, 8947, 1171, 3056, 11525, 121, 106, 106, 9056, 1206, 6395, 3733, 1386, 2328, 7082, 9360, 1446, 12809, 1297, 106, 106, 20634, 1171, 22874, 106, 106, 158, 3249, 106, 141, 180, 11114, 1238, 1135, 4966, 28760, 4877, 106, 2273, 16358, 17803, 8906, 106, 23015, 5787, 8870, 4748, 1410, 6832, 1161, 1135, 16833, 133, 7752, 1135, 1222, 9599, 177, 1153, 7990, 1491, 1163, 31627, 1350, 1331, 1126, 20330, 119, 488, 125, 123, 123, 130, 106, 106, 141, 2589, 1147, 6678, 488, 124, 132, 123, 127, 106, 143, 2295, 1147, 7357, 488, 124, 132, 132, 124, 106, 2524, 24498, 1161, 1293, 2916, 1208, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 131, 130, 4297, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 155, 3724, 7572, 243, 18489, 9204, 1238, 6678, 488, 124, 128, 119, 488, 124, 132, 123, 127, 1147, 6280, 1205, 1105, 3835, 5200, 1109, 1210, 3382, 116, 1171, 12743, 1238, 7357, 488, 125, 119, 488, 124, 132, 132, 124, 1147, 16049, 7194, 2916, 1208, 1496, 1463, 1110, 9197, 12546, 6805, 28558, 1171, 12809, 2323, 121, 106, 106, 141, 180, 11114, 106, 158, 1105, 1161, 1110, 5495, 1161, 2533, 3875, 19958, 4645, 1147, 1135, 9644, 3939, 5612, 7572, 243, 1897, 21605, 1355, 14673, 119, 2468, 1765, 4772, 3425, 12305, 1171, 2491, 1355, 1135, 1200, 5451, 1303, 7422, 1170, 5623, 1147, 18994, 2133, 12702, 1324, 11569, 1147, 3876, 1171, 7468, 31010, 2979, 15851, 1355, 1135, 2533, 3875, 1147, 6280, 1205, 1105, 1446, 488, 124, 132, 126, 123, 1163, 488, 124, 132, 126, 128, 121, 106, 106, 5395, 1135, 2994, 6605, 1386, 12702, 1765, 4533, 1870, 1171, 13196, 1110, 11622, 1230, 1147, 488, 124, 132, 126, 127, 121, 1410, 3602, 8641, 5292, 8627, 1238, 1135, 6215, 1161, 1177, 1443, 1147, 1459, 4891, 1210, 3382, 1226, 1765, 1181, 1104, 3366, 1386, 13196, 1110, 3620, 1296, 1110, 5601, 18796, 1355, 1135, 22989, 1161, 4966, 10066, 1762, 2979, 3026, 22951, 1163, 1135, 22716, 7673, 9040, 2772, 5729, 1965, 1161, 1758, 1386, 1463, 20975, 1446, 488, 124, 132, 126, 128, 1163, 488, 124, 132, 126, 132, 121, 106, 106, 143, 6129, 1413, 30467, 1386, 1463, 6195, 1163, 2571, 18325, 1918, 1134, 3174, 1135, 1288, 186, 2059, 2654, 1267, 2277, 1121, 1161, 13033, 9484, 1459, 488, 124, 132, 126, 130, 119, 1386, 7905, 1135, 10283, 1161, 1135, 15681, 1161, 1135, 21500, 9597, 1267, 1814, 4986, 1663, 10874, 25373, 5064, 1446, 1135, 1288, 8318, 2133, 2491, 20883, 1765, 3022, 9694, 2071, 14041, 21576, 1160, 1161, 9597, 8559, 3154, 4095, 106, 106, 152, 3367, 2928, 1147, 488, 124, 132, 126, 132, 119, 1386, 17032, 1135, 7079, 1161, 1135, 3228, 1161, 21362, 11088, 1202, 1630, 5485, 2470, 1765, 1559, 1163, 6805, 2323, 3901, 1296, 1125, 24498, 3152, 4834, 1171, 1463, 22951, 1994, 3130, 2462, 1363, 1147, 488, 124, 132, 127, 124, 121, 7013, 7936, 2127, 1135, 15942, 18950, 1161, 1135, 1202, 1630, 1262, 1267, 22882, 1463, 17493, 1589, 1449, 1765, 15975, 3130, 1183, 1221, 1267, 7559, 1525, 2979, 1135, 6928, 121, 11597, 5569, 4397, 25311, 8553, 1163, 1135, 7723, 4280, 1386, 1463, 15220, 26832, 1156, 1446, 1765, 2221, 1285, 24034, 1449, 1135, 28047, 1220, 1147, 488, 124, 132, 127, 126, 119, 1171, 9750, 1125, 2284, 11298, 1940, 1163, 1233, 2547, 1108, 194, 1132, 5242, 2491, 1163, 1222, 1519, 22514, 106, 106, 1891, 1126, 3245, 1147, 488, 124, 132, 127, 128, 119, 1386, 9553, 1163, 2315, 1171, 31157, 1147, 13033, 9484, 28629, 3733, 1386, 1463, 5684, 1135, 6601, 4045, 1171, 1113, 1174, 1479, 3510, 1201, 2000, 29075, 1163, 1169, 21812, 30835, 1202, 1630, 1262, 1361, 9329, 121, 2133, 10432, 1238, 1135, 9404, 1161, 1135, 9197, 1814, 4986, 1161, 1758, 1386, 1270, 30756, 1135, 3033, 6086, 1446, 488, 124, 132, 127, 130, 1163, 488, 124, 132, 128, 126, 121, 1459, 488, 124, 132, 128, 124, 119, 6195, 1163, 1135, 8006, 1161, 24747, 1129, 1171, 21500, 4966, 190, 1161, 10759, 3122, 2589, 2433, 1386, 7947, 1110, 2626, 4817, 1149, 2396, 1226, 1135, 12110, 1985, 11827, 1285, 5994, 1149, 488, 124, 125, 121, 130, 112, 1161, 1135, 7086, 1346, 1758, 1463, 5400, 1226, 2667, 1163, 1280, 21247, 1296, 1110, 1125, 1481, 2305, 1192, 6644, 1161, 1135, 7978, 21327, 1171, 9597, 25182, 8452, 1238, 1135, 20417, 1386, 1463, 1375, 4835, 12497, 3130, 27228, 1161, 1135, 19164, 25318, 6086, 1238, 1135, 7408, 1147, 1209, 193, 1696, 18819, 1147, 488, 124, 132, 128, 123, 121, 1459, 4125, 1163, 4502, 7633, 1163, 1135, 1350, 6028, 4277, 1386, 23510, 2718, 9360, 1449, 9822, 16035, 1163, 1135, 12735, 1160, 1161, 1110, 3438, 6561, 10120, 1161, 1144, 1741, 1147, 488, 124, 132, 128, 125, 121, 25961, 1386, 2876, 1375, 2685, 1446, 1135, 11326, 1161, 1135, 31967, 2626, 8568, 1135, 12110, 1861, 121, 2133, 1463, 1135, 11299, 1161, 1110, 2801, 2323, 3255, 3733, 8397, 30206, 1325, 8799, 1523, 2674, 5417, 1235, 20327, 2315, 109, 2470, 2019, 4592, 2104, 1324, 29900, 13228, 109, 1147, 7286, 488, 124, 132, 128, 124, 121, 14865, 1163, 1765, 3022, 8664, 1285, 1386, 20642, 13413, 2420, 1163, 1135, 9329, 1161, 11088, 1202, 1630, 11431, 106, 106, 1428, 488, 124, 132, 128, 129, 119, 1135, 2396, 1386, 7947, 2155, 13196, 488, 132, 112, 1161, 1135, 7086, 1346, 1758, 1463, 18535, 8383, 1163, 7640, 1765, 1169, 9718, 2001, 121, 2133, 2491, 3936, 1135, 14202, 11185, 11758, 178, 3476, 2884, 22648, 1163, 6071, 1238, 7468, 6558, 1285, 1375, 4835, 1683, 4258, 9197, 2068, 2104, 1575, 1171, 11744, 16657, 1135, 1559, 1161, 8179, 1125, 29539, 1126, 1163, 30472, 4573, 6479, 1302, 1135, 3220, 1161, 1765, 4539, 2052, 1278, 25181, 3108, 1161, 1202, 1630, 1262, 1147, 488, 124, 132, 127, 123, 121, 2133, 1432, 1255, 1156, 1110, 3620, 1147, 1135, 10932, 119, 4230, 1135, 22989, 1161, 21819, 7990, 1491, 1297, 2133, 1463, 1375, 4835, 1446, 488, 124, 132, 128, 129, 1163, 488, 124, 132, 128, 132, 119, 11299, 1161, 1135, 9921, 1161, 8947, 1171, 3056, 11525, 121, 106, 106, 9056, 1206, 6395, 3733, 1386, 2328, 7082, 9360, 1446, 12809, 1297, 106, 106, 20634, 1171, 22874, 106, 106, 158, 3249, 106, 141, 180, 11114, 1238, 1135, 4966, 28760, 4877, 106, 2273, 16358, 17803, 8906, 106, 23015, 5787, 8870, 4748, 1410, 6832, 1161, 1135, 16833, 133, 7752, 1135, 1222, 9599, 177, 1153, 7990, 1491, 1163, 31627, 1350, 1331, 1126, 20330, 119, 488, 125, 123, 123, 130, 106, 106, 141, 2589, 1147, 6678, 488, 124, 132, 123, 127, 106, 143, 2295, 1147, 7357, 488, 124, 132, 132, 124, 106, 2524, 24498, 1161, 1293, 2916, 1208, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 131, 130, 4297, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 14545, 1161, 1135, 10789, 24031, 6214, 176, 1320, 1107, 9512, 14136, 133, 3225, 4891, 1173, 1452, 11497, 31403, 6214, 1320, 1595, 1121, 1120, 116, 1239, 1110, 15389, 1691, 6338, 3264, 1161, 16392, 1533, 1926, 22533, 106, 106, 24436, 106, 25511, 3517, 1110, 1579, 8721, 1147, 1110, 1191, 1672, 1147, 2941, 10168, 5391, 1149, 1135, 8238, 1161, 1135, 7806, 5883, 1175, 2479, 1375, 12237, 1149, 1163, 1135, 7806, 5883, 3264, 1496, 1173, 3048, 7980, 12550, 9242, 1161, 1135, 24031, 6214, 176, 1320, 1107, 2055, 1110, 6446, 1161, 7102, 3043, 16247, 2468, 2293, 1463, 17818, 1163, 3218, 1110, 1624, 14511, 4772, 14874, 1163, 1135, 10789, 24031, 11598, 3553, 121, 3676, 1959, 14128, 14511, 4407, 1420, 1302, 2293, 12031, 1296, 17525, 1449, 15813, 1238, 5696, 488, 124, 132, 119, 488, 124, 130, 125, 128, 121, 3676, 9517, 4852, 1296, 10259, 1156, 1147, 1110, 4366, 1111, 4843, 1171, 1110, 3271, 17227, 17150, 1455, 186, 1569, 121, 1410, 19844, 11299, 1161, 1135, 4991, 1464, 3331, 1156, 1163, 1135, 12528, 15916, 119, 1663, 1135, 1138, 21681, 1171, 1957, 1139, 8028, 26469, 1135, 16458, 1161, 1135, 27856, 106, 106, 1428, 488, 124, 130, 126, 123, 119, 2068, 1479, 1376, 1153, 1200, 12704, 6533, 19530, 1355, 1135, 1691, 3312, 196, 1163, 1578, 1519, 19844, 5285, 2410, 1163, 1135, 1139, 8028, 1161, 2941, 1132, 2036, 2133, 2055, 1135, 8893, 1163, 4797, 7980, 12550, 9242, 1171, 24175, 1135, 1169, 1586, 1430, 1171, 1135, 8238, 119, 1171, 1463, 14846, 1156, 1449, 18684, 2133, 22914, 24554, 1135, 1233, 21681, 1161, 26233, 1488, 2086, 1266, 8451, 172, 10447, 2408, 2086, 1163, 4767, 2075, 1173, 3048, 9282, 17773, 1180, 6822, 15916, 134, 1238, 4151, 488, 125, 124, 119, 488, 124, 130, 126, 124, 4497, 1129, 1168, 1531, 1496, 1135, 1624, 8238, 1463, 15157, 1147, 2941, 10168, 134, 1341, 1463, 17479, 1449, 1202, 2249, 6507, 1156, 1993, 2271, 4996, 1324, 1135, 14683, 1459, 11971, 3049, 186, 1238, 6674, 488, 125, 127, 119, 488, 124, 130, 126, 125, 121, 106, 106, 145, 31818, 1135, 25100, 1361, 8343, 1161, 4852, 119, 1135, 1940, 1139, 8028, 1144, 1345, 1110, 18876, 4366, 10259, 2729, 1427, 1355, 1135, 23325, 1267, 1324, 1110, 14008, 2729, 191, 1161, 1135, 2994, 4203, 1171, 1110, 10888, 1455, 186, 22429, 1324, 1110, 5861, 2623, 11127, 22728, 5717, 1152, 19356, 2025, 1940, 3062, 1238, 6324, 488, 129, 119, 488, 124, 130, 126, 125, 119, 1171, 1238, 1302, 7793, 119, 1691, 6338, 1186, 22261, 1463, 22842, 3078, 7072, 1193, 2504, 20152, 1532, 183, 31838, 1233, 21681, 1161, 26233, 1488, 2086, 17479, 1135, 4407, 1420, 1238, 6674, 488, 124, 124, 119, 488, 124, 130, 126, 125, 121, 1222, 1277, 1163, 10860, 31911, 1346, 1173, 3048, 7980, 12550, 9242, 1463, 16108, 1163, 8031, 2941, 10168, 1147, 488, 124, 130, 126, 126, 134, 2470, 5992, 8937, 2293, 31157, 1147, 1252, 1307, 178, 4741, 1147, 1135, 1624, 1191, 1672, 1161, 1135, 24031, 6214, 176, 1320, 1659, 22842, 1149, 2067, 8238, 1238, 6678, 488, 125, 132, 119, 488, 124, 130, 126, 131, 121, 1459, 488, 124, 130, 129, 129, 119, 1135, 1139, 8028, 1161, 2941, 10168, 20883, 1110, 1624, 5360, 1147, 9851, 114, 9659, 1514, 1125, 114, 3686, 17618, 1135, 6181, 2645, 1273, 1132, 17556, 1161, 2068, 1479, 1376, 1153, 1200, 12704, 1121, 3266, 106, 106, 1598, 1940, 1691, 3312, 196, 7742, 1161, 23569, 1463, 20883, 1147, 1325, 239, 9345, 2064, 6289, 1352, 5580, 1810, 1449, 1135, 6214, 1320, 1595, 1121, 1267, 10935, 4379, 2082, 1202, 7916, 1128, 134, 1386, 5253, 2197, 1139, 8028, 4698, 28268, 2068, 10263, 1206, 30454, 1105, 1171, 7980, 12674, 1325, 1785, 1201, 11965, 14724, 1163, 3627, 1324, 1135, 1139, 8028, 1161, 9851, 114, 9659, 1514, 1125, 24847, 5283, 134, 1386, 13196, 1946, 4906, 19936, 1238, 4151, 488, 124, 128, 119, 488, 124, 130, 129, 124, 119, 1171, 1238, 6384, 488, 125, 123, 119, 488, 124, 130, 129, 124, 119, 1135, 1325, 239, 9345, 1149, 4991, 21743, 1135, 8238, 1171, 4393, 1161, 1135, 6214, 1320, 1595, 1121, 1267, 12288, 1459, 1135, 3602, 8937, 1624, 3218, 1430, 2025, 11219, 1147, 8996, 3282, 1175, 124, 131, 127, 124, 1496, 1135, 28513, 16843, 1175, 124, 131, 127, 131, 1496, 2315, 1175, 124, 131, 130, 128, 1496, 1135, 4909, 16983, 1175, 124, 131, 132, 130, 1496, 27240, 1175, 124, 132, 123, 127, 1496, 6372, 1175, 124, 132, 123, 128, 1496, 1171, 25050, 1175, 124, 132, 125, 124, 1576, 106, 106, 25890, 2695, 1171, 11473, 106, 1598, 6214, 1320, 1595, 1121, 1267, 2252, 1393, 1139, 8028, 14874, 1163, 31638, 1985, 12989, 1410, 3264, 1239, 20768, 16447, 1163, 1135, 7114, 2416, 1162, 1161, 1135, 10789, 24031, 6214, 176, 1320, 1107, 1171, 13601, 1135, 31638, 1985, 13839, 1161, 1135, 6214, 1320, 1595, 1121, 1267, 21263, 1663, 1135, 1691, 3312, 1429, 1537, 1579, 8462, 9074, 1419, 1238, 1135, 18371, 7668, 2416, 2392, 106, 106, 1598, 196, 1393, 4143, 1147, 133, 106, 106, 144, 7289, 133, 7927, 1762, 30908, 1810, 3621, 5485, 6556, 14375, 12906, 10034, 1762, 1135, 28513, 2621, 1285, 3346, 8255, 25350, 1569, 9236, 106, 140, 3150, 8118, 8207, 13666, 1810, 6279, 197, 6152, 17664, 17304, 4741, 4909, 22217, 12805, 1477, 119, 30238, 2086, 4873, 4353, 29186, 2036, 106, 140, 24534, 8118, 6188, 1172, 1810, 10175, 26800, 27584, 2181, 106, 140, 1349, 8118, 6075, 3100, 25412, 19480, 1243, 3100, 8184, 9356, 1545, 1478, 1265, 121, 106, 154, 14239, 1575, 133, 6801, 9236, 106, 106, 4282, 1161, 7262, 488, 126, 124, 119, 488, 125, 123, 124, 131, 119, 1135, 3264, 2055, 488, 126, 127, 1691, 3312, 1429, 1171, 488, 126, 129, 129, 1139, 1145, 1297, 106, 106, 20634, 1171, 22874, 106, 106, 142, 1495, 8189, 14511, 3264, 106, 13106, 1156, 1147, 488, 124, 130, 126, 124, 4297, 121, 32001, 488, 106, 32000, 20036, 106, 114, 6880, 16467, 1227, 16894, 3281, 5294, 1208, 2402, 1836, 7216, 25803, 1257, 3225, 4891, 1173, 1452, 11497, 31403, 6214, 1320, 1595, 1121, 1120, 116, 1299, 1189, 16467, 1691, 21668, 23521, 1125, 3090, 16392, 1533, 1926, 121, 106, 106, 147, 15376, 106, 3681, 1500, 7230, 1299, 2743, 1579, 8721, 1313, 1189, 19430, 1129, 1125, 2941, 10168, 5391, 1199, 1158, 16412, 1197, 4738, 1265, 2252, 4880, 1298, 1288, 9005, 1382, 3247, 1125, 14439, 1125, 1158, 7806, 5883, 116, 25605, 7980, 1165, 27817, 1227, 3281, 5294, 1208, 2402, 11682, 1110, 1318, 4726, 5147, 23415, 2027, 7102, 2635, 2585, 2399, 1299, 11870, 1303, 1125, 3080, 1107, 1318, 3643, 4446, 26817, 23185, 1317, 16894, 3281, 26900, 1196, 9357, 3450, 24692, 2445, 1197, 4407, 1420, 5402, 17333, 7230, 5004, 1856, 14878, 1473, 1215, 18118, 1170, 488, 124, 132, 2829, 488, 124, 130, 125, 128, 121, 3450, 13523, 1170, 4852, 1856, 1152, 245, 1585, 2519, 13604, 1460, 10293, 1167, 2335, 1618, 19399, 16940, 15349, 121, 1548, 8328, 8109, 2497, 1125, 1158, 9287, 26983, 1450, 1188, 1158, 16173, 26667, 1723, 21804, 17215, 1167, 3458, 5402, 17333, 2368, 29626, 1129, 1188, 18624, 1227, 2929, 121, 106, 106, 1686, 488, 124, 130, 126, 123, 119, 2068, 10263, 1206, 1125, 1200, 12704, 6533, 9616, 1317, 1691, 1573, 1450, 1256, 1268, 11889, 1207, 23385, 8109, 6646, 1571, 5402, 17333, 1125, 2941, 1132, 2036, 1768, 1110, 15466, 1125, 12194, 7980, 1165, 27817, 1167, 5147, 1174, 4975, 1207, 14878, 1430, 1167, 1158, 4050, 3476, 1167, 4933, 10923, 6968, 1215, 2399, 121, 1768, 22914, 2240, 21804, 17215, 1125, 26233, 1488, 2086, 1266, 8451, 172, 10447, 2408, 2086, 1304, 7373, 3389, 1158, 16173, 1125, 25605, 9282, 17773, 21216, 2040, 1170, 488, 125, 124, 2738, 488, 124, 130, 126, 124, 7393, 2752, 1125, 1158, 29924, 1168, 10657, 116, 1158, 3643, 16412, 1299, 5530, 8976, 1188, 2941, 10168, 2040, 2399, 1299, 16064, 193, 1303, 1215, 1170, 28679, 31443, 19877, 2271, 4996, 1215, 1170, 18292, 1459, 11971, 3049, 186, 1227, 488, 125, 127, 3012, 488, 124, 130, 126, 125, 121, 106, 106, 15531, 1170, 7042, 1125, 1158, 8343, 1227, 4852, 1125, 1158, 3080, 7886, 119, 1207, 9881, 5402, 17333, 23189, 1318, 21423, 10293, 1714, 6407, 1188, 1158, 7027, 1215, 1318, 20450, 1125, 18290, 1125, 1158, 2076, 7099, 1167, 1189, 1618, 19399, 8642, 4353, 1469, 1189, 28783, 7272, 121, 1808, 1152, 283, 1250, 2429, 2334, 1785, 1508, 26963, 1256, 1158, 3453, 2768, 1170, 488, 129, 2749, 488, 124, 130, 126, 125, 7041, 1188, 1816, 7793, 119, 1158, 21019, 26817, 1299, 5530, 8976, 121, 7072, 1193, 2504, 20152, 1532, 183, 31838, 2682, 17215, 1125, 26233, 1488, 2086, 16064, 1196, 1207, 4407, 1420, 1170, 488, 124, 124, 3012, 488, 124, 130, 126, 125, 121, 1653, 5169, 1125, 13261, 2448, 1346, 25605, 7980, 1165, 27817, 1299, 9778, 1303, 1125, 18242, 2941, 10168, 1186, 488, 124, 130, 126, 126, 2040, 2750, 7762, 5305, 2399, 2368, 3173, 5738, 1188, 1252, 1307, 178, 4741, 1313, 1170, 3631, 19430, 1129, 1227, 29905, 1334, 31753, 5530, 175, 18479, 1561, 16412, 1170, 488, 125, 132, 3201, 488, 124, 130, 126, 131, 121, 1653, 488, 124, 130, 129, 129, 119, 1207, 5402, 17333, 1125, 2941, 10168, 3080, 1129, 1318, 3643, 4685, 1188, 9851, 114, 9659, 1514, 1125, 114, 3686, 17618, 9209, 3391, 2645, 1273, 1366, 16003, 10263, 1206, 1125, 1200, 12704, 1121, 3266, 106, 106, 2606, 3151, 1691, 1573, 1450, 6696, 1304, 20270, 1299, 15974, 1188, 1325, 239, 9345, 2064, 5639, 1125, 1352, 14662, 1215, 1170, 1338, 14483, 1595, 1121, 2038, 10935, 4379, 2082, 1202, 7916, 1128, 2040, 1527, 2255, 8103, 2069, 5402, 17333, 4698, 28268, 2068, 10263, 1206, 30454, 1105, 1167, 7980, 12674, 1325, 1785, 1201, 11965, 14724, 1281, 6459, 5693, 1197, 5402, 17333, 1125, 9851, 114, 9659, 1514, 1125, 24847, 5283, 2040, 1527, 18764, 8823, 30099, 29304, 1366, 1170, 488, 124, 128, 2738, 488, 124, 130, 129, 124, 1167, 1170, 488, 125, 123, 2798, 488, 124, 130, 129, 124, 119, 1158, 9287, 1125, 1325, 239, 9345, 1149, 6514, 1148, 1158, 16412, 1167, 4428, 3379, 1197, 1338, 14483, 1595, 1121, 1267, 12288, 3762, 1207, 4092, 6441, 1346, 1125, 5028, 3080, 1430, 29683, 1170, 2574, 1186, 13702, 1175, 124, 131, 127, 124, 1496, 1571, 28398, 1175, 124, 131, 127, 131, 1496, 1186, 2315, 1175, 124, 131, 130, 128, 1496, 1317, 21144, 1175, 124, 131, 132, 130, 1496, 1186, 21593, 1175, 124, 132, 123, 127, 1496, 1317, 6372, 1175, 124, 132, 123, 128, 116, 1167, 1317, 23464, 1175, 124, 132, 125, 124, 1576, 106, 106, 3742, 8494, 1167, 11473, 106, 4455, 1338, 14483, 1595, 1121, 1267, 2252, 1508, 1197, 5402, 17333, 9637, 1473, 1188, 1158, 2492, 31638, 1985, 121, 2576, 7284, 1299, 1754, 1150, 3305, 15923, 1188, 1158, 1191, 4818, 19311, 1227, 16894, 3281, 5294, 1208, 2402, 1836, 1167, 11404, 1158, 12856, 31638, 1985, 1125, 1158, 4446, 1338, 14483, 1595, 1121, 12001, 1723, 1207, 1691, 1573, 2805, 14255, 5969, 9462, 1336, 15450, 26473, 1125, 1158, 1191, 4818, 19311, 17072, 4994, 106, 106, 144, 10373, 1508, 14931, 1186, 1257, 106, 106, 144, 7289, 1257, 17490, 1859, 3698, 19005, 119, 10665, 11438, 6556, 1209, 21511, 119, 10034, 2620, 22251, 4277, 1202, 1737, 6664, 25350, 8297, 4654, 106, 13772, 4528, 1257, 19730, 3603, 3261, 1234, 6152, 17664, 17304, 2620, 24884, 1306, 5363, 17618, 9671, 3725, 28940, 12781, 29186, 2036, 106, 140, 9971, 1257, 6188, 1172, 1810, 10175, 26800, 27584, 2181, 106, 31348, 1257, 6075, 2114, 25412, 19480, 1243, 3100, 8184, 9356, 1545, 5363, 15613, 121, 106, 154, 15871, 7778, 1257, 6801, 4654, 106, 106, 17971, 488, 126, 124, 2584, 488, 125, 123, 124, 131, 119, 14439, 6036, 1370, 488, 126, 127, 1691, 1573, 2805, 1167, 488, 126, 129, 129, 5402, 1214, 26548, 106, 106, 20634, 1167, 5474, 488, 106, 106, 3765, 13976, 22816, 22187, 106, 145, 1414, 1162, 1186, 488, 124, 130, 126, 124, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 6880, 16467, 1227, 16894, 3281, 5294, 1208, 2402, 1836, 7216, 25803, 1257, 3225, 4891, 1173, 1452, 11497, 31403, 6214, 1320, 1595, 1121, 1120, 116, 1299, 1189, 16467, 1691, 21668, 23521, 1125, 3090, 16392, 1533, 1926, 121, 106, 106, 147, 15376, 106, 3681, 1500, 7230, 1299, 2743, 1579, 8721, 1313, 1189, 19430, 1129, 1125, 2941, 10168, 5391, 1199, 1158, 16412, 1197, 4738, 1265, 2252, 4880, 1298, 1288, 9005, 1382, 3247, 1125, 14439, 1125, 1158, 7806, 5883, 116, 25605, 7980, 1165, 27817, 1227, 3281, 5294, 1208, 2402, 11682, 1110, 1318, 4726, 5147, 23415, 2027, 7102, 2635, 2585, 2399, 1299, 11870, 1303, 1125, 3080, 1107, 1318, 3643, 4446, 26817, 23185, 1317, 16894, 3281, 26900, 1196, 9357, 3450, 24692, 2445, 1197, 4407, 1420, 5402, 17333, 7230, 5004, 1856, 14878, 1473, 1215, 18118, 1170, 488, 124, 132, 2829, 488, 124, 130, 125, 128, 121, 3450, 13523, 1170, 4852, 1856, 1152, 245, 1585, 2519, 13604, 1460, 10293, 1167, 2335, 1618, 19399, 16940, 15349, 121, 1548, 8328, 8109, 2497, 1125, 1158, 9287, 26983, 1450, 1188, 1158, 16173, 26667, 1723, 21804, 17215, 1167, 3458, 5402, 17333, 2368, 29626, 1129, 1188, 18624, 1227, 2929, 121, 106, 106, 1686, 488, 124, 130, 126, 123, 119, 2068, 10263, 1206, 1125, 1200, 12704, 6533, 9616, 1317, 1691, 1573, 1450, 1256, 1268, 11889, 1207, 23385, 8109, 6646, 1571, 5402, 17333, 1125, 2941, 1132, 2036, 1768, 1110, 15466, 1125, 12194, 7980, 1165, 27817, 1167, 5147, 1174, 4975, 1207, 14878, 1430, 1167, 1158, 4050, 3476, 1167, 4933, 10923, 6968, 1215, 2399, 121, 1768, 22914, 2240, 21804, 17215, 1125, 26233, 1488, 2086, 1266, 8451, 172, 10447, 2408, 2086, 1304, 7373, 3389, 1158, 16173, 1125, 25605, 9282, 17773, 21216, 2040, 1170, 488, 125, 124, 2738, 488, 124, 130, 126, 124, 7393, 2752, 1125, 1158, 29924, 1168, 10657, 116, 1158, 3643, 16412, 1299, 5530, 8976, 1188, 2941, 10168, 2040, 2399, 1299, 16064, 193, 1303, 1215, 1170, 28679, 31443, 19877, 2271, 4996, 1215, 1170, 18292, 1459, 11971, 3049, 186, 1227, 488, 125, 127, 3012, 488, 124, 130, 126, 125, 121, 106, 106, 15531, 1170, 7042, 1125, 1158, 8343, 1227, 4852, 1125, 1158, 3080, 7886, 119, 1207, 9881, 5402, 17333, 23189, 1318, 21423, 10293, 1714, 6407, 1188, 1158, 7027, 1215, 1318, 20450, 1125, 18290, 1125, 1158, 2076, 7099, 1167, 1189, 1618, 19399, 8642, 4353, 1469, 1189, 28783, 7272, 121, 1808, 1152, 283, 1250, 2429, 2334, 1785, 1508, 26963, 1256, 1158, 3453, 2768, 1170, 488, 129, 2749, 488, 124, 130, 126, 125, 7041, 1188, 1816, 7793, 119, 1158, 21019, 26817, 1299, 5530, 8976, 121, 7072, 1193, 2504, 20152, 1532, 183, 31838, 2682, 17215, 1125, 26233, 1488, 2086, 16064, 1196, 1207, 4407, 1420, 1170, 488, 124, 124, 3012, 488, 124, 130, 126, 125, 121, 1653, 5169, 1125, 13261, 2448, 1346, 25605, 7980, 1165, 27817, 1299, 9778, 1303, 1125, 18242, 2941, 10168, 1186, 488, 124, 130, 126, 126, 2040, 2750, 7762, 5305, 2399, 2368, 3173, 5738, 1188, 1252, 1307, 178, 4741, 1313, 1170, 3631, 19430, 1129, 1227, 29905, 1334, 31753, 5530, 175, 18479, 1561, 16412, 1170, 488, 125, 132, 3201, 488, 124, 130, 126, 131, 121, 1653, 488, 124, 130, 129, 129, 119, 1207, 5402, 17333, 1125, 2941, 10168, 3080, 1129, 1318, 3643, 4685, 1188, 9851, 114, 9659, 1514, 1125, 114, 3686, 17618, 9209, 3391, 2645, 1273, 1366, 16003, 10263, 1206, 1125, 1200, 12704, 1121, 3266, 106, 106, 2606, 3151, 1691, 1573, 1450, 6696, 1304, 20270, 1299, 15974, 1188, 1325, 239, 9345, 2064, 5639, 1125, 1352, 14662, 1215, 1170, 1338, 14483, 1595, 1121, 2038, 10935, 4379, 2082, 1202, 7916, 1128, 2040, 1527, 2255, 8103, 2069, 5402, 17333, 4698, 28268, 2068, 10263, 1206, 30454, 1105, 1167, 7980, 12674, 1325, 1785, 1201, 11965, 14724, 1281, 6459, 5693, 1197, 5402, 17333, 1125, 9851, 114, 9659, 1514, 1125, 24847, 5283, 2040, 1527, 18764, 8823, 30099, 29304, 1366, 1170, 488, 124, 128, 2738, 488, 124, 130, 129, 124, 1167, 1170, 488, 125, 123, 2798, 488, 124, 130, 129, 124, 119, 1158, 9287, 1125, 1325, 239, 9345, 1149, 6514, 1148, 1158, 16412, 1167, 4428, 3379, 1197, 1338, 14483, 1595, 1121, 1267, 12288, 3762, 1207, 4092, 6441, 1346, 1125, 5028, 3080, 1430, 29683, 1170, 2574, 1186, 13702, 1175, 124, 131, 127, 124, 1496, 1571, 28398, 1175, 124, 131, 127, 131, 1496, 1186, 2315, 1175, 124, 131, 130, 128, 1496, 1317, 21144, 1175, 124, 131, 132, 130, 1496, 1186, 21593, 1175, 124, 132, 123, 127, 1496, 1317, 6372, 1175, 124, 132, 123, 128, 116, 1167, 1317, 23464, 1175, 124, 132, 125, 124, 1576, 106, 106, 3742, 8494, 1167, 11473, 106, 4455, 1338, 14483, 1595, 1121, 1267, 2252, 1508, 1197, 5402, 17333, 9637, 1473, 1188, 1158, 2492, 31638, 1985, 121, 2576, 7284, 1299, 1754, 1150, 3305, 15923, 1188, 1158, 1191, 4818, 19311, 1227, 16894, 3281, 5294, 1208, 2402, 1836, 1167, 11404, 1158, 12856, 31638, 1985, 1125, 1158, 4446, 1338, 14483, 1595, 1121, 12001, 1723, 1207, 1691, 1573, 2805, 14255, 5969, 9462, 1336, 15450, 26473, 1125, 1158, 1191, 4818, 19311, 17072, 4994, 106, 106, 144, 10373, 1508, 14931, 1186, 1257, 106, 106, 144, 7289, 1257, 17490, 1859, 3698, 19005, 119, 10665, 11438, 6556, 1209, 21511, 119, 10034, 2620, 22251, 4277, 1202, 1737, 6664, 25350, 8297, 4654, 106, 13772, 4528, 1257, 19730, 3603, 3261, 1234, 6152, 17664, 17304, 2620, 24884, 1306, 5363, 17618, 9671, 3725, 28940, 12781, 29186, 2036, 106, 140, 9971, 1257, 6188, 1172, 1810, 10175, 26800, 27584, 2181, 106, 31348, 1257, 6075, 2114, 25412, 19480, 1243, 3100, 8184, 9356, 1545, 5363, 15613, 121, 106, 154, 15871, 7778, 1257, 6801, 4654, 106, 106, 17971, 488, 126, 124, 2584, 488, 125, 123, 124, 131, 119, 14439, 6036, 1370, 488, 126, 127, 1691, 1573, 2805, 1167, 488, 126, 129, 129, 5402, 1214, 26548, 106, 106, 20634, 1167, 5474, 488, 106, 106, 3765, 13976, 22816, 22187, 106, 145, 1414, 1162, 1186, 488, 124, 130, 126, 124, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 143, 1727, 18465, 3520, 1239, 1110, 13167, 1161, 4594, 29182, 1446, 8702, 13413, 1171, 14511, 8511, 121, 2192, 1794, 5862, 1758, 17473, 1543, 8702, 5452, 1137, 3315, 1285, 1463, 1940, 2629, 1449, 25083, 1757, 28571, 1119, 183, 2950, 1147, 1135, 488, 124, 131, 127, 123, 1297, 4873, 16252, 1446, 1135, 488, 124, 132, 1276, 14851, 4230, 1135, 13527, 1161, 1110, 27657, 17724, 3590, 1302, 28403, 1163, 9283, 2019, 1386, 1315, 184, 3994, 1324, 1135, 30318, 1161, 9644, 23765, 1171, 1135, 1693, 11159, 1161, 1789, 5379, 5402, 1764, 1449, 5512, 144, 7289, 1119, 5740, 1285, 1413, 2129, 24595, 17919, 1910, 1269, 19579, 2019, 30884, 1147, 1135, 1653, 6629, 1108, 3041, 106, 106, 13399, 106, 143, 1727, 18465, 3520, 1239, 1110, 15052, 23346, 1147, 14511, 8511, 1147, 9166, 1324, 1110, 8702, 3908, 121, 2192, 2701, 1239, 2821, 4625, 1147, 1135, 18203, 1161, 5118, 2314, 1171, 1959, 1147, 1135, 30318, 1161, 14511, 21721, 1297, 1410, 7661, 1161, 16526, 10969, 1161, 1135, 17724, 10277, 1526, 1280, 6332, 1147, 6556, 1226, 5053, 1147, 488, 124, 132, 129, 130, 1324, 1135, 4273, 192, 194, 7963, 3876, 8462, 8271, 1135, 2179, 1171, 6847, 1161, 1135, 3468, 3423, 1761, 20697, 121, 106, 106, 9688, 1161, 1135, 21034, 1105, 106, 106, 2029, 1596, 1110, 21034, 1105, 1158, 1897, 2128, 8723, 1727, 18465, 25793, 109, 5992, 4841, 1161, 1169, 1625, 1764, 1526, 1280, 23510, 2718, 133, 1135, 1169, 1625, 1231, 1161, 8702, 14511, 8511, 1758, 1239, 2821, 4625, 1147, 4803, 1449, 1110, 8350, 22443, 7623, 4738, 1163, 1135, 11849, 7393, 1145, 5254, 1285, 1144, 28636, 1972, 116, 1449, 1110, 6875, 17113, 1161, 1215, 1943, 1231, 1201, 134, 1135, 1169, 1625, 1231, 1161, 1135, 1455, 5185, 1361, 10969, 1238, 8702, 3901, 1171, 8511, 134, 1135, 1169, 1625, 1231, 1161, 1776, 1661, 1132, 4447, 2060, 1135, 3056, 3901, 1161, 20399, 1220, 134, 1135, 1169, 1625, 1231, 1161, 1135, 6172, 2395, 1296, 1110, 13527, 1226, 1852, 2988, 3901, 134, 1135, 1169, 1625, 1231, 1161, 3854, 1985, 4551, 1147, 4275, 1161, 1135, 1583, 1226, 15144, 1161, 5239, 1171, 30421, 106, 106, 5318, 1169, 1625, 1231, 1147, 8511, 1463, 16591, 1147, 2801, 1171, 2019, 1994, 4527, 190, 1147, 1135, 7515, 120, 124, 132, 1276, 14851, 1449, 5119, 1124, 4020, 1442, 3100, 5253, 1238, 1151, 25960, 5601, 1147, 1135, 1215, 1943, 1104, 1449, 1135, 6653, 173, 21681, 1161, 6721, 16855, 14215, 21691, 121, 106, 106, 1891, 9520, 106, 106, 1428, 2019, 1830, 1161, 7357, 488, 125, 131, 119, 488, 125, 123, 123, 131, 119, 1413, 3477, 1239, 1151, 22412, 1161, 1135, 3477, 7419, 1727, 18465, 3520, 109, 1446, 1135, 6459, 1144, 2461, 2461, 1845, 10730, 192, 4877, 2670, 1293, 145, 16459, 121, 106, 106, 141, 4807, 11114, 106, 7068, 3249, 1147, 9197, 116, 106, 106, 21320, 1959, 106, 12225, 1589, 3760, 106, 106, 26722, 14520, 106, 109, 2272, 1206, 12865, 1161, 1125, 1210, 18465, 3520, 133, 1110, 21867, 2315, 138, 1523, 1643, 9282, 22165, 6674, 488, 124, 128, 119, 488, 125, 123, 124, 132, 119, 2679, 5409, 106, 106, 143, 1727, 18465, 3520, 109, 32001, 488, 106, 32000, 20036, 106, 3562, 21988, 18465, 2651, 1299, 1189, 9221, 1125, 4452, 25627, 1125, 1158, 13765, 1167, 1125, 1158, 5854, 26817, 14224, 11150, 121, 2932, 28764, 1357, 8045, 8060, 1197, 1776, 1661, 190, 14224, 1117, 22122, 1299, 5162, 1256, 1158, 3453, 2768, 1215, 1252, 3567, 195, 28571, 1119, 183, 2950, 1313, 1207, 4092, 488, 124, 131, 127, 123, 121, 4873, 242, 1277, 1188, 3862, 1227, 488, 124, 132, 176, 6298, 1313, 1170, 4154, 2134, 10538, 8189, 2923, 27657, 1357, 1288, 30957, 1382, 1188, 15991, 1594, 1166, 1603, 2035, 7138, 1469, 1170, 28250, 1197, 9644, 12182, 1167, 17569, 3465, 1162, 1125, 2770, 5402, 1764, 14994, 1215, 1207, 15544, 3993, 120, 1929, 3766, 22122, 1816, 13188, 28396, 1366, 5209, 1186, 3247, 1909, 7338, 2252, 1317, 6298, 1197, 20954, 3123, 121, 106, 106, 143, 244, 9761, 106, 3562, 21988, 18465, 2651, 1299, 1318, 28000, 15052, 1125, 1158, 5854, 26817, 1313, 1207, 3293, 1125, 3908, 14224, 11150, 121, 2932, 7619, 13339, 1370, 1313, 26426, 1197, 1127, 21113, 1167, 2072, 1313, 1170, 28250, 1197, 12119, 1430, 5402, 1214, 26548, 1643, 11251, 4473, 17872, 22181, 1125, 12547, 11645, 22187, 2368, 1383, 16317, 1186, 6556, 1215, 8675, 1186, 488, 124, 132, 129, 130, 1469, 1158, 3650, 4273, 192, 194, 7963, 2593, 1790, 1199, 1282, 11075, 1167, 1158, 11473, 1125, 1158, 6570, 1890, 3468, 3423, 1761, 121, 106, 106, 9688, 1227, 18747, 106, 106, 158, 1212, 1189, 18747, 1253, 4290, 12884, 1606, 21988, 18465, 2651, 3133, 1238, 1915, 30299, 7762, 4841, 1125, 1338, 1625, 1764, 1257, 1158, 1338, 1625, 1231, 1125, 1158, 5854, 26817, 1227, 1270, 18465, 2923, 1357, 1281, 18583, 3747, 1215, 1318, 4808, 1188, 22938, 8350, 1105, 1397, 1278, 2340, 1175, 1129, 4260, 10143, 6371, 1741, 116, 3523, 1318, 17113, 29214, 1125, 19951, 1349, 1462, 2040, 1158, 1338, 1625, 1231, 1125, 20188, 2561, 1227, 1455, 2683, 244, 1300, 1158, 2492, 1167, 1158, 5854, 14224, 1117, 6542, 2040, 1158, 1338, 1625, 1231, 1227, 5136, 1776, 1661, 4930, 1300, 1158, 2492, 6321, 1197, 14224, 13173, 2040, 1158, 1338, 1625, 1231, 1227, 6172, 1568, 1856, 4154, 1125, 1158, 2492, 1852, 2988, 2040, 1158, 1338, 1625, 1231, 1197, 9585, 3854, 3825, 1317, 8612, 1125, 1158, 12698, 1125, 9110, 1125, 17117, 1167, 22563, 121, 106, 106, 142, 1567, 1338, 1625, 1231, 1125, 1158, 5854, 1299, 5391, 1303, 1188, 2801, 1167, 1186, 5962, 10691, 1277, 1317, 8007, 1227, 488, 124, 132, 176, 6298, 1215, 1170, 5119, 1369, 4020, 1442, 3100, 15367, 1186, 5601, 1304, 25737, 1313, 1207, 1215, 186, 14272, 1215, 10905, 25157, 17215, 1125, 2801, 16855, 14215, 21691, 121, 106, 106, 20634, 1167, 5474, 106, 106, 22507, 1561, 4438, 1227, 488, 125, 131, 2822, 488, 125, 123, 123, 131, 119, 3371, 3477, 1299, 1318, 22412, 1125, 3265, 21988, 18465, 18195, 1125, 20774, 1865, 1144, 2461, 2461, 1845, 10730, 192, 2290, 1293, 145, 16459, 121, 106, 106, 141, 13449, 106, 158, 1219, 4384, 3506, 1134, 1342, 1289, 1810, 2814, 224, 174, 20489, 1227, 6172, 1568, 1313, 1158, 6805, 2651, 6076, 7615, 1204, 1344, 119, 6745, 1285, 488, 124, 132, 129, 130, 488, 106, 158, 1219, 4384, 3506, 1134, 1342, 1289, 1810, 8702, 2651, 1167, 5144, 1210, 18465, 18195, 24630, 6116, 3833, 26817, 119, 1252, 14504, 193, 1154, 1506, 119, 25316, 488, 124, 132, 131, 128, 119, 8685, 1104, 1125, 6303, 1289, 121, 23066, 178, 2563, 488, 124, 132, 131, 129, 488, 106, 155, 3724, 1192, 29383, 7011, 8332, 2165, 1125, 28370, 174, 1348, 19832, 488, 124, 132, 123, 128, 120, 125, 123, 123, 128, 119, 8685, 1104, 1125, 1158, 2674, 3400, 119, 488, 125, 123, 123, 127, 121, 488, 106, 164, 1923, 1539, 1187, 2114, 2576, 224, 11645, 1313, 1158, 3543, 23820, 1125, 488, 124, 132, 129, 131, 119, 6721, 8080, 243, 4780, 488, 125, 123, 124, 131, 121, 488, 106, 157, 1383, 21620, 1165, 1461, 14283, 2433, 1173, 1416, 2344, 2651, 1362, 5464, 1227, 6172, 1568, 1617, 1859, 1313, 15018, 1125, 11733, 12078, 1197, 14352, 1285, 1253, 5108, 1227, 9207, 153, 22024, 2945, 3145, 1579, 488, 128, 125, 119, 6721, 25316, 2065, 1416, 121, 488, 124, 132, 131, 124, 488, 106, 19361, 1292, 6630, 1165, 21081, 3378, 5502, 2140, 2854, 1110, 14137, 244, 9033, 14224, 3718, 1257, 1645, 15320, 1214, 2335, 1821, 2587, 2121, 1548, 2499, 4019, 119, 488, 125, 123, 124, 131, 488, 106, 147, 29710, 3190, 10928, 119, 4911, 12401, 5402, 1214, 17061, 10787, 160, 8111, 3145, 6721, 488, 124, 132, 129, 131, 488, 106, 147, 29710, 3190, 10928, 119, 2814, 24441, 1167, 1909, 14352, 1285, 10693, 4790, 6721, 488, 124, 132, 130, 125, 488, 106, 146, 1502, 1342, 186, 3276, 14451, 8851, 119, 1643, 22799, 9607, 21910, 12940, 2433, 1748, 14665, 235, 119, 7829, 3100, 488, 124, 132, 130, 132, 488, 106, 143, 1119, 1795, 1126, 1306, 1444, 2466, 4101, 1603, 1659, 17724, 11872, 1158, 1622, 2335, 12630, 9560, 4748, 488, 125, 123, 123, 126, 488, 106, 146, 1219, 8750, 1548, 3261, 4277, 5420, 4119, 1125, 2129, 4058, 26817, 119, 10787, 160, 8111, 3145, 20745, 19523, 488, 124, 132, 128, 128, 2040, 20745, 19368, 488, 124, 132, 128, 129, 488, 106, 149, 19191, 1918, 1123, 5485, 11863, 2923, 8363, 2726, 1253, 5108, 4304, 172, 2042, 119, 6721, 488, 124, 132, 126, 129, 488, 106, 149, 186, 1519, 1195, 1325, 1519, 119, 4911, 4529, 1161, 22799, 4986, 31282, 488, 124, 132, 127, 127, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 106, 28870, 5825, 106, 106, 207, 3480, 2603, 2027, 1125, 1158, 21988, 18465, 2651, 1257, 1318, 2315, 3754, 6657, 1617, 3133, 1643, 9282, 22165, 488, 124, 128, 3012, 488, 125, 123, 124, 132, 119, 6084, 1186, 3028, 106, 106, 143, 7197, 18465, 2651, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 21988, 18465, 2651, 1299, 1189, 9221, 1125, 4452, 25627, 1125, 1158, 13765, 1167, 1125, 1158, 5854, 26817, 14224, 11150, 121, 2932, 28764, 1357, 8045, 8060, 1197, 1776, 1661, 190, 14224, 1117, 22122, 1299, 5162, 1256, 1158, 3453, 2768, 1215, 1252, 3567, 195, 28571, 1119, 183, 2950, 1313, 1207, 4092, 488, 124, 131, 127, 123, 121, 4873, 242, 1277, 1188, 3862, 1227, 488, 124, 132, 176, 6298, 1313, 1170, 4154, 2134, 10538, 8189, 2923, 27657, 1357, 1288, 30957, 1382, 1188, 15991, 1594, 1166, 1603, 2035, 7138, 1469, 1170, 28250, 1197, 9644, 12182, 1167, 17569, 3465, 1162, 1125, 2770, 5402, 1764, 14994, 1215, 1207, 15544, 3993, 120, 1929, 3766, 22122, 1816, 13188, 28396, 1366, 5209, 1186, 3247, 1909, 7338, 2252, 1317, 6298, 1197, 20954, 3123, 121, 106, 106, 143, 244, 9761, 106, 3562, 21988, 18465, 2651, 1299, 1318, 28000, 15052, 1125, 1158, 5854, 26817, 1313, 1207, 3293, 1125, 3908, 14224, 11150, 121, 2932, 7619, 13339, 1370, 1313, 26426, 1197, 1127, 21113, 1167, 2072, 1313, 1170, 28250, 1197, 12119, 1430, 5402, 1214, 26548, 1643, 11251, 4473, 17872, 22181, 1125, 12547, 11645, 22187, 2368, 1383, 16317, 1186, 6556, 1215, 8675, 1186, 488, 124, 132, 129, 130, 1469, 1158, 3650, 4273, 192, 194, 7963, 2593, 1790, 1199, 1282, 11075, 1167, 1158, 11473, 1125, 1158, 6570, 1890, 3468, 3423, 1761, 121, 106, 106, 9688, 1227, 18747, 106, 106, 158, 1212, 1189, 18747, 1253, 4290, 12884, 1606, 21988, 18465, 2651, 3133, 1238, 1915, 30299, 7762, 4841, 1125, 1338, 1625, 1764, 1257, 1158, 1338, 1625, 1231, 1125, 1158, 5854, 26817, 1227, 1270, 18465, 2923, 1357, 1281, 18583, 3747, 1215, 1318, 4808, 1188, 22938, 8350, 1105, 1397, 1278, 2340, 1175, 1129, 4260, 10143, 6371, 1741, 116, 3523, 1318, 17113, 29214, 1125, 19951, 1349, 1462, 2040, 1158, 1338, 1625, 1231, 1125, 20188, 2561, 1227, 1455, 2683, 244, 1300, 1158, 2492, 1167, 1158, 5854, 14224, 1117, 6542, 2040, 1158, 1338, 1625, 1231, 1227, 5136, 1776, 1661, 4930, 1300, 1158, 2492, 6321, 1197, 14224, 13173, 2040, 1158, 1338, 1625, 1231, 1227, 6172, 1568, 1856, 4154, 1125, 1158, 2492, 1852, 2988, 2040, 1158, 1338, 1625, 1231, 1197, 9585, 3854, 3825, 1317, 8612, 1125, 1158, 12698, 1125, 9110, 1125, 17117, 1167, 22563, 121, 106, 106, 142, 1567, 1338, 1625, 1231, 1125, 1158, 5854, 1299, 5391, 1303, 1188, 2801, 1167, 1186, 5962, 10691, 1277, 1317, 8007, 1227, 488, 124, 132, 176, 6298, 1215, 1170, 5119, 1369, 4020, 1442, 3100, 15367, 1186, 5601, 1304, 25737, 1313, 1207, 1215, 186, 14272, 1215, 10905, 25157, 17215, 1125, 2801, 16855, 14215, 21691, 121, 106, 106, 20634, 1167, 5474, 106, 106, 22507, 1561, 4438, 1227, 488, 125, 131, 2822, 488, 125, 123, 123, 131, 119, 3371, 3477, 1299, 1318, 22412, 1125, 3265, 21988, 18465, 18195, 1125, 20774, 1865, 1144, 2461, 2461, 1845, 10730, 192, 2290, 1293, 145, 16459, 121, 106, 106, 141, 13449, 106, 158, 1219, 4384, 3506, 1134, 1342, 1289, 1810, 2814, 224, 174, 20489, 1227, 6172, 1568, 1313, 1158, 6805, 2651, 6076, 7615, 1204, 1344, 119, 6745, 1285, 488, 124, 132, 129, 130, 488, 106, 158, 1219, 4384, 3506, 1134, 1342, 1289, 1810, 8702, 2651, 1167, 5144, 1210, 18465, 18195, 24630, 6116, 3833, 26817, 119, 1252, 14504, 193, 1154, 1506, 119, 25316, 488, 124, 132, 131, 128, 119, 8685, 1104, 1125, 6303, 1289, 121, 23066, 178, 2563, 488, 124, 132, 131, 129, 488, 106, 155, 3724, 1192, 29383, 7011, 8332, 2165, 1125, 28370, 174, 1348, 19832, 488, 124, 132, 123, 128, 120, 125, 123, 123, 128, 119, 8685, 1104, 1125, 1158, 2674, 3400, 119, 488, 125, 123, 123, 127, 121, 488, 106, 164, 1923, 1539, 1187, 2114, 2576, 224, 11645, 1313, 1158, 3543, 23820, 1125, 488, 124, 132, 129, 131, 119, 6721, 8080, 243, 4780, 488, 125, 123, 124, 131, 121, 488, 106, 157, 1383, 21620, 1165, 1461, 14283, 2433, 1173, 1416, 2344, 2651, 1362, 5464, 1227, 6172, 1568, 1617, 1859, 1313, 15018, 1125, 11733, 12078, 1197, 14352, 1285, 1253, 5108, 1227, 9207, 153, 22024, 2945, 3145, 1579, 488, 128, 125, 119, 6721, 25316, 2065, 1416, 121, 488, 124, 132, 131, 124, 488, 106, 19361, 1292, 6630, 1165, 21081, 3378, 5502, 2140, 2854, 1110, 14137, 244, 9033, 14224, 3718, 1257, 1645, 15320, 1214, 2335, 1821, 2587, 2121, 1548, 2499, 4019, 119, 488, 125, 123, 124, 131, 488, 106, 147, 29710, 3190, 10928, 119, 4911, 12401, 5402, 1214, 17061, 10787, 160, 8111, 3145, 6721, 488, 124, 132, 129, 131, 488, 106, 147, 29710, 3190, 10928, 119, 2814, 24441, 1167, 1909, 14352, 1285, 10693, 4790, 6721, 488, 124, 132, 130, 125, 488, 106, 146, 1502, 1342, 186, 3276, 14451, 8851, 119, 1643, 22799, 9607, 21910, 12940, 2433, 1748, 14665, 235, 119, 7829, 3100, 488, 124, 132, 130, 132, 488, 106, 143, 1119, 1795, 1126, 1306, 1444, 2466, 4101, 1603, 1659, 17724, 11872, 1158, 1622, 2335, 12630, 9560, 4748, 488, 125, 123, 123, 126, 488, 106, 146, 1219, 8750, 1548, 3261, 4277, 5420, 4119, 1125, 2129, 4058, 26817, 119, 10787, 160, 8111, 3145, 20745, 19523, 488, 124, 132, 128, 128, 2040, 20745, 19368, 488, 124, 132, 128, 129, 488, 106, 149, 19191, 1918, 1123, 5485, 11863, 2923, 8363, 2726, 1253, 5108, 4304, 172, 2042, 119, 6721, 488, 124, 132, 126, 129, 488, 106, 149, 186, 1519, 1195, 1325, 1519, 119, 4911, 4529, 1161, 22799, 4986, 31282, 488, 124, 132, 127, 127, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 106, 28870, 5825, 106, 106, 207, 3480, 2603, 2027, 1125, 1158, 21988, 18465, 2651, 1257, 1318, 2315, 3754, 6657, 1617, 3133, 1643, 9282, 22165, 488, 124, 128, 3012, 488, 125, 123, 124, 132, 119, 6084, 1186, 3028, 106, 106, 143, 7197, 18465, 2651, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 114, 142, 9478, 1259, 1105, 1299, 1189, 7433, 1125, 29135, 1125, 1158, 4446, 1197, 1116, 1507, 183, 1176, 1234, 1357, 18402, 1197, 14360, 1125, 1198, 1142, 3982, 4277, 1874, 26350, 1183, 4010, 121, 106, 106, 151, 2038, 1304, 4870, 243, 1887, 488, 106, 158, 3015, 22523, 197, 1167, 4847, 183, 1788, 1108, 1257, 106, 1165, 9478, 1259, 1105, 2207, 1292, 7703, 7194, 1444, 7655, 488, 124, 131, 127, 131, 116, 1323, 1175, 4870, 13006, 2262, 116, 106, 1165, 9478, 1259, 1105, 1138, 1569, 3716, 29701, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 1280, 1577, 180, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 125, 116, 106, 1165, 9478, 1259, 1105, 1449, 1276, 1383, 2026, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 18565, 1105, 1462, 1120, 7933, 1172, 3733, 488, 124, 132, 125, 130, 116, 106, 1165, 9478, 1259, 1105, 18565, 1145, 1462, 1120, 6574, 257, 12216, 23716, 488, 124, 132, 123, 126, 116, 106, 1165, 9478, 1259, 1105, 10323, 13682, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 123, 116, 106, 1165, 9478, 1259, 1105, 7668, 1146, 1153, 4497, 1815, 1673, 1545, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 123, 116, 106, 1165, 9478, 1259, 1105, 1106, 1272, 1117, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 124, 116, 106, 1165, 9478, 1259, 1105, 2676, 9639, 7194, 26206, 21453, 488, 124, 132, 123, 125, 116, 106, 1165, 9478, 1259, 1105, 21184, 1107, 1117, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 130, 116, 106, 1165, 9478, 1259, 1105, 1184, 181, 1193, 5523, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 1165, 9478, 1259, 1105, 2164, 1342, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 18912, 10149, 1120, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 1165, 9478, 1259, 1105, 2166, 1314, 1462, 1120, 5867, 1126, 2296, 1659, 488, 124, 131, 129, 125, 116, 106, 1165, 9478, 1259, 1105, 1185, 1178, 1407, 1180, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 1735, 173, 8868, 1608, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 1239, 6350, 1575, 1462, 1120, 4698, 2296, 182, 2554, 1762, 488, 124, 132, 132, 128, 116, 106, 1165, 9478, 1259, 1105, 1498, 1105, 182, 1157, 1462, 1120, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 125, 116, 106, 1165, 9478, 1259, 1105, 1498, 1190, 3113, 176, 6574, 257, 12216, 23716, 488, 124, 132, 123, 127, 116, 106, 1165, 9478, 1259, 1105, 11261, 5778, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 132, 116, 106, 1165, 9478, 1259, 1105, 1557, 8188, 1123, 1431, 1153, 5867, 2610, 1896, 1659, 488, 124, 132, 124, 129, 116, 106, 1165, 9478, 1259, 1105, 1139, 9055, 1220, 6047, 1145, 197, 1171, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 1165, 9478, 1259, 1105, 1139, 196, 1510, 1119, 1153, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 123, 116, 106, 1165, 9478, 1259, 1105, 5931, 1132, 1333, 5867, 2610, 1896, 1659, 488, 124, 131, 132, 129, 116, 106, 1165, 9478, 1259, 1105, 1177, 1122, 3157, 1142, 1153, 6047, 1193, 3174, 488, 124, 132, 129, 125, 116, 106, 1165, 9478, 1259, 1105, 1114, 6363, 1596, 4735, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 1499, 1510, 1190, 1150, 182, 2011, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 1181, 1815, 16714, 4289, 4363, 3301, 488, 124, 131, 131, 127, 116, 106, 1165, 9478, 1259, 1105, 1181, 5088, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 1165, 9478, 1259, 1105, 1144, 1132, 1213, 180, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 131, 116, 106, 1165, 9478, 1259, 1105, 1499, 121, 2385, 121, 2166, 1314, 1462, 1120, 12748, 461, 142, 2898, 462, 462, 106, 1165, 9478, 1259, 1105, 1499, 121, 2385, 121, 2207, 1292, 7703, 12748, 461, 150, 1120, 1475, 9836, 462, 462, 106, 1165, 9478, 1259, 1105, 1499, 121, 2385, 121, 11261, 5778, 12748, 461, 158, 1174, 1118, 462, 462, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 142, 1507, 183, 19609, 106, 18843, 1112, 1125, 15231, 10149, 1104, 29610, 11246, 116, 114, 32001, 488, 106, 32000, 20036, 106, 142, 9478, 1259, 1105, 1239, 1110, 3998, 1153, 1161, 12410, 1147, 1135, 1116, 1507, 183, 1176, 4772, 1302, 7245, 13594, 1161, 1198, 1142, 3982, 4277, 24612, 5388, 1296, 1198, 1142, 1301, 9236, 106, 106, 12807, 1429, 2396, 106, 8321, 8756, 1163, 22523, 197, 1171, 4847, 183, 1788, 1108, 133, 106, 142, 9478, 1259, 1105, 2207, 1292, 7703, 7194, 1444, 7655, 488, 124, 131, 127, 131, 116, 1323, 29899, 13594, 116, 106, 142, 9478, 1259, 1105, 1138, 1569, 3716, 29701, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1280, 1577, 180, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 125, 116, 106, 142, 9478, 1259, 1105, 1449, 1276, 1383, 2026, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 18565, 1105, 1462, 1120, 7933, 1172, 3733, 488, 124, 132, 125, 130, 116, 106, 142, 9478, 1259, 1105, 18565, 1145, 1462, 1120, 6574, 257, 12216, 23716, 488, 124, 132, 123, 126, 116, 106, 142, 9478, 1259, 1105, 10323, 13682, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 123, 116, 106, 142, 9478, 1259, 1105, 7668, 1146, 1153, 4497, 1815, 1673, 1545, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 123, 116, 106, 142, 9478, 1259, 1105, 1106, 1272, 1117, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 124, 116, 106, 142, 9478, 1259, 1105, 2676, 9639, 7194, 26206, 21453, 488, 124, 132, 123, 125, 116, 106, 142, 9478, 1259, 1105, 21184, 1107, 1117, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 130, 116, 106, 142, 9478, 1259, 1105, 1184, 181, 1193, 5523, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 142, 9478, 1259, 1105, 2164, 1342, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 18912, 10149, 1120, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 142, 9478, 1259, 1105, 2166, 1314, 1462, 1120, 5867, 1126, 2296, 1659, 488, 124, 131, 129, 125, 116, 106, 142, 9478, 1259, 1105, 1185, 1178, 1407, 1180, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1735, 173, 8868, 1608, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1239, 6350, 1575, 1462, 1120, 4698, 2296, 182, 2554, 1762, 488, 124, 132, 132, 128, 116, 106, 142, 9478, 1259, 1105, 1498, 1105, 182, 1157, 1462, 1120, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 125, 116, 106, 142, 9478, 1259, 1105, 1498, 1190, 3113, 176, 6574, 257, 12216, 23716, 488, 124, 132, 123, 127, 116, 106, 142, 9478, 1259, 1105, 11261, 5778, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 132, 116, 106, 142, 9478, 1259, 1105, 1557, 8188, 1123, 1431, 1153, 5867, 2610, 1896, 1659, 488, 124, 132, 124, 129, 116, 106, 142, 9478, 1259, 1105, 1139, 9055, 1220, 6047, 1145, 197, 1171, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 142, 9478, 1259, 1105, 1139, 196, 1510, 1119, 1153, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 123, 116, 106, 142, 9478, 1259, 1105, 5931, 1132, 1333, 5867, 2610, 1896, 1659, 488, 124, 131, 132, 129, 116, 106, 142, 9478, 1259, 1105, 1177, 1122, 3157, 1142, 1153, 6047, 1193, 3174, 488, 124, 132, 129, 125, 116, 106, 142, 9478, 1259, 1105, 1114, 6363, 1596, 4735, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1499, 1510, 1190, 1150, 182, 2011, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1181, 1815, 16714, 4289, 4363, 3301, 488, 124, 131, 131, 127, 116, 106, 142, 9478, 1259, 1105, 1181, 5088, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1144, 1132, 1213, 180, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 131, 116, 106, 142, 9478, 1259, 1105, 1499, 121, 2385, 121, 2166, 1314, 1462, 1120, 12748, 461, 142, 2898, 462, 462, 106, 142, 9478, 1259, 1105, 1499, 121, 2385, 121, 2207, 1292, 7703, 12748, 461, 150, 1120, 1475, 9836, 462, 462, 106, 142, 9478, 1259, 1105, 1499, 121, 2385, 121, 11261, 5778, 12748, 461, 158, 1174, 1118, 462, 462, 106, 106, 20634, 1171, 22874, 106, 106, 26722, 14520, 106, 106, 142, 1507, 183, 19609, 106, 18843, 1153, 1161, 15231, 10149, 1104, 1175, 2865, 1354, 3796, 2220, 116, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 9478, 1259, 1105, 1239, 1110, 3998, 1153, 1161, 12410, 1147, 1135, 1116, 1507, 183, 1176, 4772, 1302, 7245, 13594, 1161, 1198, 1142, 3982, 4277, 24612, 5388, 1296, 1198, 1142, 1301, 9236, 106, 106, 12807, 1429, 2396, 106, 8321, 8756, 1163, 22523, 197, 1171, 4847, 183, 1788, 1108, 133, 106, 142, 9478, 1259, 1105, 2207, 1292, 7703, 7194, 1444, 7655, 488, 124, 131, 127, 131, 116, 1323, 29899, 13594, 116, 106, 142, 9478, 1259, 1105, 1138, 1569, 3716, 29701, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1280, 1577, 180, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 125, 116, 106, 142, 9478, 1259, 1105, 1449, 1276, 1383, 2026, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 18565, 1105, 1462, 1120, 7933, 1172, 3733, 488, 124, 132, 125, 130, 116, 106, 142, 9478, 1259, 1105, 18565, 1145, 1462, 1120, 6574, 257, 12216, 23716, 488, 124, 132, 123, 126, 116, 106, 142, 9478, 1259, 1105, 10323, 13682, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 123, 116, 106, 142, 9478, 1259, 1105, 7668, 1146, 1153, 4497, 1815, 1673, 1545, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 123, 116, 106, 142, 9478, 1259, 1105, 1106, 1272, 1117, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 130, 124, 116, 106, 142, 9478, 1259, 1105, 2676, 9639, 7194, 26206, 21453, 488, 124, 132, 123, 125, 116, 106, 142, 9478, 1259, 1105, 21184, 1107, 1117, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 130, 116, 106, 142, 9478, 1259, 1105, 1184, 181, 1193, 5523, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 142, 9478, 1259, 1105, 2164, 1342, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 18912, 10149, 1120, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 142, 9478, 1259, 1105, 2166, 1314, 1462, 1120, 5867, 1126, 2296, 1659, 488, 124, 131, 129, 125, 116, 106, 142, 9478, 1259, 1105, 1185, 1178, 1407, 1180, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1735, 173, 8868, 1608, 1153, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1239, 6350, 1575, 1462, 1120, 4698, 2296, 182, 2554, 1762, 488, 124, 132, 132, 128, 116, 106, 142, 9478, 1259, 1105, 1498, 1105, 182, 1157, 1462, 1120, 6047, 1145, 197, 1673, 4847, 183, 1788, 2765, 488, 125, 123, 124, 125, 116, 106, 142, 9478, 1259, 1105, 1498, 1190, 3113, 176, 6574, 257, 12216, 23716, 488, 124, 132, 123, 127, 116, 106, 142, 9478, 1259, 1105, 11261, 5778, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 132, 116, 106, 142, 9478, 1259, 1105, 1557, 8188, 1123, 1431, 1153, 5867, 2610, 1896, 1659, 488, 124, 132, 124, 129, 116, 106, 142, 9478, 1259, 1105, 1139, 9055, 1220, 6047, 1145, 197, 1171, 4847, 183, 1788, 2765, 488, 125, 123, 124, 123, 116, 106, 142, 9478, 1259, 1105, 1139, 196, 1510, 1119, 1153, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 123, 116, 106, 142, 9478, 1259, 1105, 5931, 1132, 1333, 5867, 2610, 1896, 1659, 488, 124, 131, 132, 129, 116, 106, 142, 9478, 1259, 1105, 1177, 1122, 3157, 1142, 1153, 6047, 1193, 3174, 488, 124, 132, 129, 125, 116, 106, 142, 9478, 1259, 1105, 1114, 6363, 1596, 4735, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1499, 1510, 1190, 1150, 182, 2011, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1181, 1815, 16714, 4289, 4363, 3301, 488, 124, 131, 131, 127, 116, 106, 142, 9478, 1259, 1105, 1181, 5088, 4289, 1117, 1322, 185, 1762, 4847, 183, 1788, 1108, 1673, 16062, 1314, 1762, 488, 124, 132, 132, 125, 116, 106, 142, 9478, 1259, 1105, 1144, 1132, 1213, 180, 1175, 2103, 1591, 7445, 5452, 17181, 8270, 1107, 10645, 488, 124, 132, 129, 131, 116, 106, 142, 9478, 1259, 1105, 1499, 121, 2385, 121, 2166, 1314, 1462, 1120, 12748, 461, 142, 2898, 462, 462, 106, 142, 9478, 1259, 1105, 1499, 121, 2385, 121, 2207, 1292, 7703, 12748, 461, 150, 1120, 1475, 9836, 462, 462, 106, 142, 9478, 1259, 1105, 1499, 121, 2385, 121, 11261, 5778, 12748, 461, 158, 1174, 1118, 462, 462, 106, 106, 20634, 1171, 22874, 106, 106, 26722, 14520, 106, 106, 142, 1507, 183, 19609, 106, 18843, 1153, 1161, 15231, 10149, 1104, 1175, 2865, 1354, 3796, 2220, 116, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 2606, 1105, 1379, 2893, 1342, 1128, 18185, 6700, 21775, 133, 488, 334, 356, 365, 5036, 355, 16249, 351, 362, 7462, 10437, 27970, 359, 374, 23498, 9023, 10105, 369, 5036, 361, 119, 20288, 1176, 3728, 13666, 1651, 1507, 2893, 1342, 1128, 18185, 1496, 5388, 1296, 26404, 2893, 1342, 1128, 18185, 119, 1463, 9204, 1238, 6384, 488, 124, 127, 119, 488, 124, 132, 128, 130, 1147, 24354, 26346, 4289, 1651, 7203, 9597, 1267, 9629, 1161, 12163, 31581, 3569, 158, 157, 1576, 2133, 1239, 1151, 4950, 1171, 9324, 11415, 1369, 3434, 1712, 1171, 27100, 12957, 2248, 1267, 1161, 12163, 3191, 2323, 8157, 1822, 1943, 1197, 3196, 121, 106, 106, 141, 180, 11114, 106, 141, 2589, 1147, 29234, 18541, 2127, 1110, 4772, 1161, 17380, 9233, 13251, 1285, 1386, 1895, 9055, 1589, 1324, 2182, 1163, 1135, 4909, 6716, 1147, 488, 124, 132, 130, 131, 1355, 1135, 7227, 1161, 488, 125, 124, 11759, 4035, 12912, 5970, 1110, 4235, 1355, 1135, 17347, 1246, 10840, 1161, 21060, 2850, 21273, 1576, 2133, 6470, 13196, 4950, 15337, 2840, 121, 106, 106, 1428, 488, 124, 132, 131, 129, 119, 2979, 5666, 1149, 1765, 1204, 8757, 1355, 30211, 19476, 1386, 20883, 10141, 22290, 1346, 1110, 4571, 1302, 5960, 190, 1147, 2301, 1384, 14793, 19002, 1147, 1135, 3569, 158, 20497, 19847, 1147, 12155, 13131, 1171, 8557, 2292, 2305, 2133, 1959, 4539, 1427, 1147, 1135, 2482, 4524, 6009, 1198, 1696, 1233, 5583, 119, 1758, 5970, 1296, 1110, 3810, 11340, 1171, 2055, 1110, 11415, 10609, 1147, 18134, 1449, 488, 125, 123, 124, 129, 121, 106, 106, 1428, 488, 125, 123, 123, 130, 119, 1386, 24288, 1135, 5623, 7002, 7863, 1227, 5421, 4338, 4166, 6093, 1459, 488, 125, 123, 124, 124, 119, 1386, 15995, 6832, 1977, 10397, 6506, 1446, 5826, 8188, 30743, 177, 1712, 1226, 488, 126, 121, 126, 11415, 16002, 1297, 1459, 488, 125, 123, 124, 126, 119, 1386, 11992, 1135, 3418, 1410, 3268, 2495, 1324, 1765, 4052, 4571, 1192, 180, 11412, 5784, 2133, 15650, 17074, 1147, 1248, 7493, 28885, 1758, 5960, 190, 1147, 26271, 1297, 1459, 488, 125, 123, 124, 128, 119, 1386, 7905, 1135, 7442, 1182, 1618, 1147, 13955, 5485, 6612, 1163, 1135, 12877, 6763, 1457, 1459, 488, 125, 123, 124, 129, 119, 1765, 26725, 1463, 17929, 1355, 488, 124, 128, 11415, 16002, 1297, 2133, 1239, 1110, 1736, 6777, 1619, 1107, 1161, 1135, 14289, 6928, 3872, 3418, 1198, 120, 126, 127, 119, 9578, 1147, 488, 125, 123, 124, 131, 121, 106, 106, 1428, 488, 125, 123, 124, 130, 119, 1386, 1463, 14388, 1147, 1135, 26443, 1439, 12519, 1201, 1169, 1586, 7168, 106, 106, 5449, 1142, 12957, 23206, 106, 1428, 488, 125, 123, 124, 123, 119, 1386, 6714, 1589, 488, 130, 128, 4750, 1113, 11667, 1163, 1135, 4017, 1161, 21967, 1163, 12735, 1110, 3875, 1161, 1721, 7334, 1762, 1135, 2893, 1342, 1128, 18185, 5761, 1161, 8624, 3041, 1988, 7245, 9742, 29323, 1171, 8713, 3091, 4530, 1238, 2019, 7739, 1161, 11299, 1297, 2192, 14990, 1463, 2367, 1324, 15404, 3590, 1446, 1957, 12512, 184, 3674, 2000, 2025, 26469, 1163, 1135, 23233, 2662, 11573, 3026, 5091, 1156, 1449, 1110, 12163, 3191, 2323, 1143, 3215, 2528, 121, 1459, 488, 125, 123, 124, 129, 119, 3545, 1135, 8080, 7092, 1140, 26067, 19831, 5814, 21411, 119, 1386, 18504, 1136, 1589, 1135, 13981, 8270, 12764, 14103, 2630, 1659, 8794, 1449, 11941, 190, 7409, 1518, 1949, 3004, 1141, 1171, 2460, 186, 1122, 180, 2460, 1205, 1320, 1889, 4353, 1324, 1110, 9893, 1449, 6046, 13285, 5831, 9012, 1135, 9921, 1248, 1298, 1149, 4732, 2554, 3266, 2133, 1239, 1110, 6714, 1121, 1163, 1135, 9324, 11679, 119, 11801, 10161, 172, 31947, 4966, 5370, 3144, 1293, 9458, 1762, 1171, 11679, 1161, 19037, 12673, 106, 106, 155, 26981, 3901, 106, 24338, 6299, 1163, 4633, 2775, 3433, 1785, 2114, 1386, 1602, 3663, 27945, 2133, 9622, 1147, 9485, 1361, 1518, 1462, 19524, 12710, 1462, 18959, 1147, 1110, 488, 125, 123, 123, 4750, 1113, 1615, 5360, 1324, 1110, 10799, 1171, 1151, 19224, 2111, 1226, 5992, 1734, 1285, 1499, 7614, 488, 128, 123, 123, 123, 10804, 2367, 2996, 2133, 3022, 190, 1110, 4668, 176, 1149, 488, 130, 130, 130, 120, 125, 123, 123, 1352, 4725, 15017, 1296, 1266, 130, 130, 130, 31023, 1171, 1135, 488, 130, 127, 2010, 3030, 2102, 1251, 20042, 24354, 26346, 19368, 2468, 1386, 31080, 1110, 2478, 1174, 1121, 1212, 20651, 3571, 2600, 1976, 1324, 27368, 5922, 11162, 1997, 1554, 10962, 3545, 1135, 1165, 14540, 12483, 9461, 121, 32001, 488, 106, 32000, 20036, 106, 2606, 1105, 1379, 2893, 1342, 1128, 18185, 7216, 15393, 1257, 488, 334, 356, 365, 5036, 355, 16249, 351, 362, 7462, 10437, 27970, 359, 374, 23498, 9023, 10105, 369, 5036, 361, 119, 20288, 1176, 3728, 13666, 1651, 5836, 2893, 1342, 1128, 18185, 1496, 2690, 26404, 2893, 1342, 1128, 18185, 119, 5252, 1170, 488, 124, 127, 2798, 488, 124, 132, 128, 130, 1188, 24354, 26346, 6700, 1955, 6424, 30591, 24696, 1960, 1304, 21792, 31581, 1405, 157, 4365, 1496, 1299, 1189, 6513, 17266, 31135, 1369, 1167, 27100, 12957, 1150, 1326, 8403, 1167, 14898, 14994, 1893, 1647, 31969, 28355, 106, 106, 141, 11741, 106, 153, 244, 1186, 18541, 24696, 1960, 1313, 1318, 4446, 2335, 1879, 7786, 1893, 1221, 1285, 1527, 8324, 24130, 1469, 2399, 1571, 9864, 1186, 488, 124, 132, 130, 131, 1188, 19910, 1125, 488, 125, 124, 2165, 26751, 3618, 22645, 5943, 13551, 1189, 26357, 1153, 1188, 26341, 1197, 25531, 1125, 4014, 1125, 17347, 1118, 1576, 1768, 18764, 6349, 1158, 3624, 1902, 13900, 121, 106, 106, 1686, 488, 124, 132, 131, 129, 119, 2567, 1158, 1622, 1125, 1594, 1204, 8757, 1188, 15714, 5922, 193, 4748, 1527, 15458, 10141, 22290, 1346, 1318, 3385, 1357, 4539, 2052, 1313, 1207, 19002, 2301, 2598, 1473, 1186, 1405, 157, 4365, 119, 11129, 1313, 1207, 14578, 9881, 1167, 1158, 11347, 4654, 1768, 4539, 2052, 2445, 1313, 1158, 17895, 17094, 1624, 5680, 1555, 4964, 1125, 1198, 1696, 1233, 5583, 119, 3247, 2519, 4077, 11340, 1167, 1357, 1113, 7551, 1186, 488, 125, 123, 124, 129, 1189, 31135, 1125, 10609, 1125, 15647, 12863, 7324, 106, 106, 1686, 488, 125, 123, 123, 130, 119, 1527, 10086, 21960, 1170, 5623, 7002, 7863, 1227, 5421, 4338, 4166, 6093, 1653, 488, 125, 123, 124, 124, 119, 1527, 4723, 4326, 6832, 1977, 10397, 6506, 1188, 5826, 8188, 30743, 177, 1712, 1256, 488, 126, 119, 126, 13149, 1125, 16002, 1297, 1653, 488, 125, 123, 124, 126, 119, 1527, 2513, 1170, 3418, 1548, 24952, 1404, 1544, 1469, 1561, 3385, 1125, 4052, 2068, 11412, 5784, 1768, 11358, 1197, 7780, 1313, 1248, 7493, 28885, 1357, 4539, 2052, 1313, 1197, 2819, 7710, 121, 1653, 488, 125, 123, 124, 128, 119, 1527, 7354, 17571, 1170, 1408, 13397, 1125, 11961, 3551, 2360, 11438, 3702, 1170, 12877, 6763, 1457, 1653, 488, 125, 123, 124, 129, 119, 1561, 26725, 1299, 5915, 1303, 1188, 488, 124, 128, 13149, 1125, 16002, 1297, 1768, 1299, 5235, 1150, 30941, 1227, 3418, 26738, 1125, 6545, 15393, 1198, 120, 126, 127, 119, 6391, 1125, 6545, 9665, 1186, 488, 125, 123, 124, 131, 121, 106, 106, 1686, 488, 125, 123, 124, 130, 119, 1527, 1299, 21001, 1313, 1207, 14878, 1430, 1197, 26443, 1439, 12519, 2996, 106, 106, 5449, 1142, 12957, 2248, 1214, 106, 1686, 488, 125, 123, 124, 123, 119, 1527, 1844, 6714, 1125, 488, 130, 128, 5743, 1125, 9337, 1188, 15714, 14609, 195, 7362, 1256, 1158, 28453, 2519, 17030, 1125, 3657, 24001, 1158, 2893, 1342, 1128, 18185, 5761, 1161, 8624, 3041, 3450, 2803, 9742, 29323, 1167, 8713, 3091, 4530, 1313, 1594, 5809, 20130, 121, 4060, 14990, 1110, 26618, 1348, 1197, 19791, 1125, 3458, 5116, 31666, 25311, 18800, 1188, 28757, 1309, 1170, 23233, 2636, 13958, 2666, 3273, 244, 1215, 1189, 1143, 3215, 16273, 14994, 31969, 28355, 1653, 488, 125, 123, 124, 129, 119, 1186, 25338, 1125, 3871, 4218, 23290, 25569, 8080, 7092, 1140, 20839, 2433, 1527, 18504, 1278, 1170, 4779, 16191, 13981, 8270, 2544, 9468, 16098, 1215, 1207, 11941, 1104, 7409, 1518, 1949, 3004, 1141, 1167, 2460, 186, 1122, 180, 2460, 1205, 1320, 1889, 4353, 1469, 1189, 9893, 1125, 6046, 13285, 1317, 8612, 1125, 19473, 1248, 1298, 1149, 4732, 2554, 3266, 1768, 1299, 1189, 6714, 1793, 1227, 9324, 11679, 119, 1227, 11801, 10161, 172, 31947, 1125, 1158, 4966, 5370, 3144, 25219, 1167, 1227, 11679, 1161, 19037, 12673, 106, 106, 161, 1214, 11069, 106, 152, 1662, 244, 1188, 4633, 2775, 3433, 1785, 2114, 1527, 1299, 9159, 1125, 5999, 24853, 1768, 5562, 1188, 31282, 1313, 1170, 12311, 1125, 1518, 1462, 19524, 12710, 12581, 1313, 1318, 4685, 1125, 488, 125, 123, 123, 5743, 1125, 9337, 6036, 1199, 1318, 15132, 1167, 1189, 16518, 1811, 1136, 1256, 7762, 4715, 8802, 1300, 1318, 6300, 1125, 488, 128, 123, 123, 123, 1127, 125, 121, 1768, 11358, 1189, 4668, 176, 1149, 488, 130, 130, 130, 120, 125, 123, 123, 1352, 4725, 31103, 10898, 1266, 130, 130, 130, 31023, 1167, 1170, 1251, 20042, 24354, 26346, 19368, 1125, 488, 130, 127, 13061, 1125, 21676, 1300, 6640, 1527, 20912, 3219, 5910, 1189, 29089, 1127, 1414, 1262, 1469, 1170, 24190, 5922, 11162, 1997, 1554, 1148, 2982, 2391, 1227, 9912, 1125, 26348, 1457, 106, 106, 20634, 1167, 5474, 106, 153, 3400, 1186, 2798, 488, 124, 132, 128, 130, 106, 153, 3400, 1188, 24354, 26346, 106, 153, 3400, 1186, 21017, 1304, 29640, 106, 155, 7849, 1902, 13900, 14232, 2335, 5424, 31969, 1354, 106, 155, 7849, 1902, 14898, 14232, 2335, 5424, 31969, 1354, 106, 224, 24116, 1125, 15714, 30211, 106, 224, 24116, 1125, 15714, 26287, 106, 31943, 1767, 5499, 1303, 1313, 1170, 17813, 1366, 1197, 26443, 1439, 12519, 1201, 106, 152, 1292, 180, 1379, 1369, 8403, 106, 152, 1292, 180, 1379, 1369, 14898, 106, 5449, 1142, 12957, 1150, 1326, 8403, 106, 5449, 1142, 12957, 1150, 1326, 14898, 106, 24074, 1836, 8403, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 1105, 1379, 2893, 1342, 1128, 18185, 7216, 15393, 1257, 488, 334, 356, 365, 5036, 355, 16249, 351, 362, 7462, 10437, 27970, 359, 374, 23498, 9023, 10105, 369, 5036, 361, 119, 20288, 1176, 3728, 13666, 1651, 5836, 2893, 1342, 1128, 18185, 1496, 2690, 26404, 2893, 1342, 1128, 18185, 119, 5252, 1170, 488, 124, 127, 2798, 488, 124, 132, 128, 130, 1188, 24354, 26346, 6700, 1955, 6424, 30591, 24696, 1960, 1304, 21792, 31581, 1405, 157, 4365, 1496, 1299, 1189, 6513, 17266, 31135, 1369, 1167, 27100, 12957, 1150, 1326, 8403, 1167, 14898, 14994, 1893, 1647, 31969, 28355, 106, 106, 141, 11741, 106, 153, 244, 1186, 18541, 24696, 1960, 1313, 1318, 4446, 2335, 1879, 7786, 1893, 1221, 1285, 1527, 8324, 24130, 1469, 2399, 1571, 9864, 1186, 488, 124, 132, 130, 131, 1188, 19910, 1125, 488, 125, 124, 2165, 26751, 3618, 22645, 5943, 13551, 1189, 26357, 1153, 1188, 26341, 1197, 25531, 1125, 4014, 1125, 17347, 1118, 1576, 1768, 18764, 6349, 1158, 3624, 1902, 13900, 121, 106, 106, 1686, 488, 124, 132, 131, 129, 119, 2567, 1158, 1622, 1125, 1594, 1204, 8757, 1188, 15714, 5922, 193, 4748, 1527, 15458, 10141, 22290, 1346, 1318, 3385, 1357, 4539, 2052, 1313, 1207, 19002, 2301, 2598, 1473, 1186, 1405, 157, 4365, 119, 11129, 1313, 1207, 14578, 9881, 1167, 1158, 11347, 4654, 1768, 4539, 2052, 2445, 1313, 1158, 17895, 17094, 1624, 5680, 1555, 4964, 1125, 1198, 1696, 1233, 5583, 119, 3247, 2519, 4077, 11340, 1167, 1357, 1113, 7551, 1186, 488, 125, 123, 124, 129, 1189, 31135, 1125, 10609, 1125, 15647, 12863, 7324, 106, 106, 1686, 488, 125, 123, 123, 130, 119, 1527, 10086, 21960, 1170, 5623, 7002, 7863, 1227, 5421, 4338, 4166, 6093, 1653, 488, 125, 123, 124, 124, 119, 1527, 4723, 4326, 6832, 1977, 10397, 6506, 1188, 5826, 8188, 30743, 177, 1712, 1256, 488, 126, 119, 126, 13149, 1125, 16002, 1297, 1653, 488, 125, 123, 124, 126, 119, 1527, 2513, 1170, 3418, 1548, 24952, 1404, 1544, 1469, 1561, 3385, 1125, 4052, 2068, 11412, 5784, 1768, 11358, 1197, 7780, 1313, 1248, 7493, 28885, 1357, 4539, 2052, 1313, 1197, 2819, 7710, 121, 1653, 488, 125, 123, 124, 128, 119, 1527, 7354, 17571, 1170, 1408, 13397, 1125, 11961, 3551, 2360, 11438, 3702, 1170, 12877, 6763, 1457, 1653, 488, 125, 123, 124, 129, 119, 1561, 26725, 1299, 5915, 1303, 1188, 488, 124, 128, 13149, 1125, 16002, 1297, 1768, 1299, 5235, 1150, 30941, 1227, 3418, 26738, 1125, 6545, 15393, 1198, 120, 126, 127, 119, 6391, 1125, 6545, 9665, 1186, 488, 125, 123, 124, 131, 121, 106, 106, 1686, 488, 125, 123, 124, 130, 119, 1527, 1299, 21001, 1313, 1207, 14878, 1430, 1197, 26443, 1439, 12519, 2996, 106, 106, 5449, 1142, 12957, 2248, 1214, 106, 1686, 488, 125, 123, 124, 123, 119, 1527, 1844, 6714, 1125, 488, 130, 128, 5743, 1125, 9337, 1188, 15714, 14609, 195, 7362, 1256, 1158, 28453, 2519, 17030, 1125, 3657, 24001, 1158, 2893, 1342, 1128, 18185, 5761, 1161, 8624, 3041, 3450, 2803, 9742, 29323, 1167, 8713, 3091, 4530, 1313, 1594, 5809, 20130, 121, 4060, 14990, 1110, 26618, 1348, 1197, 19791, 1125, 3458, 5116, 31666, 25311, 18800, 1188, 28757, 1309, 1170, 23233, 2636, 13958, 2666, 3273, 244, 1215, 1189, 1143, 3215, 16273, 14994, 31969, 28355, 1653, 488, 125, 123, 124, 129, 119, 1186, 25338, 1125, 3871, 4218, 23290, 25569, 8080, 7092, 1140, 20839, 2433, 1527, 18504, 1278, 1170, 4779, 16191, 13981, 8270, 2544, 9468, 16098, 1215, 1207, 11941, 1104, 7409, 1518, 1949, 3004, 1141, 1167, 2460, 186, 1122, 180, 2460, 1205, 1320, 1889, 4353, 1469, 1189, 9893, 1125, 6046, 13285, 1317, 8612, 1125, 19473, 1248, 1298, 1149, 4732, 2554, 3266, 1768, 1299, 1189, 6714, 1793, 1227, 9324, 11679, 119, 1227, 11801, 10161, 172, 31947, 1125, 1158, 4966, 5370, 3144, 25219, 1167, 1227, 11679, 1161, 19037, 12673, 106, 106, 161, 1214, 11069, 106, 152, 1662, 244, 1188, 4633, 2775, 3433, 1785, 2114, 1527, 1299, 9159, 1125, 5999, 24853, 1768, 5562, 1188, 31282, 1313, 1170, 12311, 1125, 1518, 1462, 19524, 12710, 12581, 1313, 1318, 4685, 1125, 488, 125, 123, 123, 5743, 1125, 9337, 6036, 1199, 1318, 15132, 1167, 1189, 16518, 1811, 1136, 1256, 7762, 4715, 8802, 1300, 1318, 6300, 1125, 488, 128, 123, 123, 123, 1127, 125, 121, 1768, 11358, 1189, 4668, 176, 1149, 488, 130, 130, 130, 120, 125, 123, 123, 1352, 4725, 31103, 10898, 1266, 130, 130, 130, 31023, 1167, 1170, 1251, 20042, 24354, 26346, 19368, 1125, 488, 130, 127, 13061, 1125, 21676, 1300, 6640, 1527, 20912, 3219, 5910, 1189, 29089, 1127, 1414, 1262, 1469, 1170, 24190, 5922, 11162, 1997, 1554, 1148, 2982, 2391, 1227, 9912, 1125, 26348, 1457, 106, 106, 20634, 1167, 5474, 106, 153, 3400, 1186, 2798, 488, 124, 132, 128, 130, 106, 153, 3400, 1188, 24354, 26346, 106, 153, 3400, 1186, 21017, 1304, 29640, 106, 155, 7849, 1902, 13900, 14232, 2335, 5424, 31969, 1354, 106, 155, 7849, 1902, 14898, 14232, 2335, 5424, 31969, 1354, 106, 224, 24116, 1125, 15714, 30211, 106, 224, 24116, 1125, 15714, 26287, 106, 31943, 1767, 5499, 1303, 1313, 1170, 17813, 1366, 1197, 26443, 1439, 12519, 1201, 106, 152, 1292, 180, 1379, 1369, 8403, 106, 152, 1292, 180, 1379, 1369, 14898, 106, 5449, 1142, 12957, 1150, 1326, 8403, 106, 5449, 1142, 12957, 1150, 1326, 14898, 106, 24074, 1836, 8403, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 14772, 193, 2323, 12110, 1985, 28898, 1161, 488, 125, 123, 124, 124, 1175, 124, 124, 1276, 1173, 4735, 1195, 1141, 1152, 271, 183, 271, 288, 26904, 116, 2025, 7368, 1238, 7327, 488, 124, 130, 119, 488, 125, 123, 124, 124, 119, 1163, 14202, 1135, 1704, 11635, 2302, 192, 3088, 1161, 1135, 18662, 31035, 1173, 4735, 1195, 2036, 106, 106, 22596, 106, 1428, 1135, 12110, 1985, 28898, 1161, 7357, 488, 125, 119, 488, 125, 123, 124, 123, 119, 1135, 7468, 27646, 1814, 6357, 7947, 1449, 16987, 12984, 3728, 5746, 1222, 3622, 16952, 5005, 3366, 9917, 1135, 11827, 1324, 488, 126, 126, 26763, 1171, 488, 126, 123, 121, 130, 112, 1161, 1135, 7086, 1457, 1222, 3622, 16952, 5005, 1120, 2491, 27479, 1765, 10581, 1336, 1324, 1135, 8006, 1161, 13607, 1462, 1171, 22482, 1201, 29451, 165, 158, 1496, 1710, 6129, 1151, 15346, 13539, 1161, 488, 129, 125, 26763, 1656, 1161, 488, 124, 123, 123, 121, 2502, 4151, 488, 125, 131, 119, 488, 125, 123, 124, 124, 119, 5992, 5150, 2979, 1135, 27855, 11827, 119, 6654, 3728, 5746, 2397, 1128, 18474, 10229, 1110, 6543, 28375, 1238, 1135, 9144, 2203, 1161, 1135, 1173, 4735, 1195, 1810, 5452, 1353, 15041, 20198, 1171, 1143, 3215, 2528, 1285, 1758, 7947, 1163, 1765, 30901, 1238, 6384, 488, 125, 119, 4064, 10559, 1125, 24498, 1171, 6459, 3434, 1712, 2602, 4720, 1233, 271, 189, 17940, 288, 121, 2502, 1135, 2954, 1161, 1135, 6543, 1274, 9468, 1135, 1235, 16259, 109, 7596, 9917, 1449, 2060, 488, 132, 127, 15442, 8265, 1163, 1135, 13814, 1161, 5756, 11827, 1285, 2884, 2397, 1128, 18474, 16864, 1765, 3022, 7339, 1163, 6575, 1135, 12110, 1985, 8769, 121, 106, 106, 19698, 5737, 1171, 11843, 106, 106, 25896, 106, 106, 2439, 12575, 106, 4848, 1110, 23346, 1161, 1139, 7512, 176, 1108, 22233, 1135, 1656, 13145, 27646, 2910, 1814, 1406, 1171, 2397, 165, 158, 1463, 13468, 30075, 1449, 28472, 1147, 4275, 1161, 1135, 2397, 157, 10739, 1758, 31083, 9141, 1147, 2423, 13571, 1171, 8957, 4690, 2308, 1121, 11226, 1171, 1235, 1172, 1205, 2528, 109, 2575, 8020, 1163, 1537, 1432, 1105, 1589, 1324, 1135, 6380, 2392, 11315, 2754, 1135, 8042, 12205, 1161, 14772, 193, 1575, 10228, 1128, 193, 2323, 1325, 6234, 4143, 2670, 1135, 2220, 1161, 1235, 287, 1328, 1201, 1863, 1434, 12205, 109, 1171, 8957, 3075, 1659, 1192, 1109, 264, 13166, 488, 287, 1328, 2563, 1239, 8261, 1704, 1161, 14772, 193, 22545, 3337, 1143, 3215, 2528, 1285, 10310, 1163, 7590, 1135, 488, 128, 112, 19102, 1161, 18110, 1163, 6575, 1135, 1173, 4735, 1195, 2036, 10185, 3465, 1149, 1135, 6051, 1285, 1135, 14919, 14380, 5569, 1296, 1135, 5071, 16781, 21437, 1269, 12821, 1135, 488, 126, 123, 112, 19102, 1161, 7086, 1346, 1171, 11744, 14702, 1135, 1940, 8302, 27935, 7339, 1163, 5071, 1110, 14772, 193, 2323, 11827, 3976, 488, 124, 132, 132, 128, 121, 3743, 1135, 2017, 2283, 1161, 1135, 7468, 17268, 9468, 1135, 1266, 5128, 1110, 3781, 1267, 7339, 119, 13085, 1163, 4415, 2019, 1694, 6677, 106, 106, 1891, 5649, 106, 160, 1614, 1135, 7834, 1161, 1135, 1940, 13563, 6051, 1285, 1758, 12827, 1306, 2569, 3994, 7978, 1147, 1135, 3075, 1171, 1110, 5827, 1300, 1315, 1226, 1135, 2397, 1128, 18474, 1863, 1434, 12205, 119, 23735, 1147, 1238, 1814, 6357, 16987, 12984, 3728, 5746, 1222, 3622, 16952, 5005, 1120, 18155, 1765, 16769, 3395, 1163, 11408, 5333, 16901, 1430, 1324, 1135, 2397, 157, 10739, 2979, 18653, 1110, 19618, 7107, 1324, 1135, 14919, 1171, 1135, 8006, 1161, 13607, 1462, 1171, 22482, 2996, 1192, 4013, 7456, 18775, 1296, 1135, 14919, 1171, 2397, 24042, 2025, 8265, 1147, 1135, 14723, 1132, 2270, 1285, 6459, 6654, 29954, 2011, 13848, 1712, 1120, 16787, 1302, 2484, 2197, 5737, 3210, 1280, 1910, 1161, 1135, 3314, 30482, 1324, 1306, 2569, 3994, 7978, 1296, 1135, 18957, 1171, 1135, 2397, 1128, 18474, 1863, 1434, 12205, 1296, 1135, 1235, 1468, 6898, 18957, 4095, 2133, 1463, 10242, 1147, 1413, 8874, 1449, 1192, 1289, 2289, 19120, 6647, 1285, 10321, 1161, 1135, 8006, 1161, 13607, 1462, 1171, 22482, 2563, 8957, 7339, 14834, 1110, 30318, 1161, 1905, 11386, 27536, 106, 106, 145, 14046, 1135, 5385, 1302, 12827, 1135, 8042, 12205, 1161, 14772, 193, 1575, 10228, 1128, 193, 2323, 14815, 11360, 14746, 1446, 1135, 1173, 4735, 1195, 1810, 6459, 16768, 12984, 1192, 1109, 264, 13166, 488, 287, 1328, 1201, 10229, 1765, 7386, 1432, 30630, 1446, 1135, 7339, 1361, 12445, 119, 1296, 1386, 19737, 1302, 11843, 3210, 3139, 27307, 8389, 106, 106, 2272, 1206, 12865, 106, 106, 20634, 1171, 1863, 9520, 106, 106, 21320, 1959, 106, 1891, 2160, 28375, 1238, 1135, 9144, 2203, 1161, 1135, 1173, 4735, 16410, 106, 2628, 5746, 1222, 3622, 16952, 5005, 1120, 134, 3728, 5746, 2397, 1128, 18474, 134, 1192, 1109, 264, 13166, 488, 287, 1328, 1201, 106, 106, 2606, 178, 4829, 1985, 106, 125, 123, 124, 124, 106, 155, 7847, 3750, 1147, 7327, 488, 125, 123, 124, 124, 32001, 488, 106, 32000, 20036, 106, 4455, 13118, 26130, 7941, 6492, 1125, 488, 125, 123, 124, 124, 1175, 124, 124, 121, 1173, 4735, 1195, 1141, 1152, 271, 183, 271, 288, 26904, 116, 1281, 1508, 5052, 1813, 1170, 488, 124, 130, 2875, 488, 125, 123, 124, 124, 119, 3143, 26438, 1229, 1207, 2630, 21353, 1125, 1158, 1238, 197, 3555, 8447, 1861, 1125, 1158, 1173, 4735, 1195, 2036, 106, 106, 2272, 8934, 106, 140, 1250, 13118, 26130, 1227, 488, 125, 2822, 488, 125, 123, 124, 123, 119, 1158, 27646, 3657, 1814, 4355, 1227, 11824, 5328, 3728, 5746, 1222, 3622, 16952, 5005, 3366, 3618, 27216, 1170, 25840, 1469, 488, 126, 126, 27022, 1167, 488, 126, 123, 119, 130, 2199, 1197, 8945, 121, 1222, 3622, 16952, 5005, 1120, 3618, 6349, 4211, 192, 1594, 10581, 1336, 1469, 14141, 1197, 6505, 190, 1167, 1197, 3293, 1220, 29451, 165, 158, 1496, 2368, 1322, 16274, 1318, 10597, 11572, 1277, 1125, 488, 129, 125, 27022, 1300, 488, 124, 123, 123, 121, 1548, 488, 125, 131, 2738, 488, 125, 123, 124, 124, 119, 1188, 7762, 3617, 1125, 30690, 19795, 7615, 1170, 4637, 3728, 5746, 2397, 1128, 18474, 10656, 1158, 4062, 4514, 2335, 10250, 28375, 1300, 1158, 9144, 2203, 1125, 1158, 1173, 4735, 16410, 1186, 7576, 1105, 13503, 1158, 20198, 1167, 1207, 1143, 3215, 1124, 6565, 1440, 1357, 13686, 1188, 1561, 2968, 20645, 2391, 1227, 25840, 1227, 488, 125, 2798, 119, 3691, 1317, 20653, 16421, 1167, 1279, 4408, 4889, 26298, 2602, 4720, 1233, 271, 189, 17940, 288, 121, 1548, 2574, 1125, 1158, 5673, 2071, 1170, 1606, 15268, 1524, 22058, 12301, 1188, 1408, 1125, 488, 132, 127, 2199, 1197, 8945, 119, 1440, 1357, 13686, 1188, 1158, 4062, 4514, 7993, 6995, 15028, 4321, 11781, 1309, 2397, 1128, 18474, 14802, 1594, 5865, 1921, 119, 1186, 5588, 1125, 1281, 14675, 1313, 1158, 9625, 1197, 8447, 30141, 106, 106, 4929, 3006, 1541, 15430, 1167, 17541, 1125, 2697, 106, 106, 157, 1234, 18036, 106, 106, 22460, 1206, 106, 1686, 28250, 1125, 8826, 24424, 3299, 22233, 1158, 27646, 5016, 7352, 1835, 1814, 1348, 1167, 1158, 2397, 165, 5560, 1299, 16307, 2627, 1342, 1118, 1303, 1215, 1207, 29518, 15805, 1317, 8612, 1227, 2397, 157, 10739, 1357, 1281, 5971, 6529, 1186, 6311, 25772, 1167, 2487, 1170, 5059, 2714, 1158, 20198, 1167, 1207, 1606, 1143, 3215, 1124, 1485, 1524, 7032, 2782, 17413, 1317, 5545, 1125, 1158, 6380, 2392, 1653, 6500, 1170, 11824, 15211, 1125, 1200, 1706, 7138, 23949, 8103, 7941, 20378, 2595, 2290, 1170, 1874, 1125, 1606, 15211, 1338, 1434, 1793, 1125, 488, 287, 1328, 1201, 1524, 1167, 2487, 1170, 10452, 2851, 1192, 1109, 264, 13166, 488, 287, 1328, 2563, 1299, 15112, 1856, 6113, 1197, 3203, 1143, 3215, 1124, 1485, 1125, 1200, 1706, 1105, 2620, 6143, 15167, 20167, 1160, 1188, 11203, 1187, 1158, 15756, 1197, 488, 128, 2199, 1197, 8945, 1256, 18069, 1188, 1158, 1173, 4735, 1195, 2036, 10185, 3465, 1199, 1207, 8974, 6523, 1170, 14919, 29779, 21744, 13341, 1199, 1125, 1996, 1207, 488, 126, 123, 2199, 1197, 8945, 119, 1167, 7354, 2442, 1170, 3151, 1921, 1125, 4779, 8632, 1188, 15548, 1186, 6425, 2335, 25840, 1186, 1200, 1706, 7138, 2757, 488, 124, 132, 132, 128, 121, 4511, 14974, 5581, 1125, 5753, 1210, 2647, 1374, 20430, 1158, 1266, 5128, 1304, 19456, 3624, 1790, 3212, 30957, 1188, 19410, 1107, 1594, 1694, 6677, 106, 106, 8044, 5649, 106, 143, 1467, 1158, 8119, 1197, 7790, 30711, 1188, 1158, 8969, 1197, 488, 2449, 1346, 1357, 17272, 1170, 6508, 1125, 4428, 2569, 7138, 1186, 6425, 1167, 1318, 11266, 14333, 1303, 1227, 15211, 1338, 1434, 1793, 1125, 2397, 1128, 183, 2563, 1357, 7300, 1767, 1814, 4355, 1170, 11824, 5328, 3728, 5746, 1222, 3622, 16952, 5005, 1120, 22203, 1561, 12698, 1304, 1129, 14804, 14182, 1207, 25000, 1469, 1170, 2397, 157, 10739, 2567, 11697, 2964, 18878, 1313, 1189, 2423, 9058, 1125, 1281, 23071, 2021, 1227, 14919, 1167, 1125, 14141, 1197, 6505, 190, 1167, 1197, 3293, 13609, 24976, 4898, 1408, 14429, 3042, 1309, 1170, 14919, 1167, 1170, 2397, 24042, 1508, 1186, 6425, 1197, 6282, 17876, 15782, 20774, 4637, 29954, 2011, 13848, 1712, 1120, 22203, 1309, 2008, 2069, 12777, 5524, 1982, 3247, 1227, 12859, 4617, 18497, 1170, 6508, 1125, 4428, 2569, 7138, 1186, 4083, 1309, 15953, 19495, 1167, 1170, 15211, 1338, 1434, 1793, 1125, 2397, 1128, 18474, 1856, 1606, 12334, 1199, 8112, 6255, 4821, 1768, 1299, 16773, 1313, 1816, 13247, 1215, 1192, 1289, 2289, 19120, 6647, 1285, 6513, 1125, 2697, 1125, 14141, 1197, 6505, 190, 1167, 1197, 3293, 6963, 2487, 1158, 3968, 1110, 9918, 1189, 28250, 1125, 14439, 1125, 10600, 27536, 106, 106, 2524, 7662, 1207, 6282, 1357, 25281, 1170, 11824, 15211, 1125, 1200, 1706, 7138, 23949, 8103, 7941, 1767, 11360, 192, 1125, 1158, 1173, 4735, 1195, 1810, 20774, 5328, 1197, 4897, 4536, 1192, 1109, 264, 13166, 488, 287, 1328, 1201, 10656, 1561, 20845, 23598, 1125, 1158, 26892, 1227, 1921, 119, 1734, 1256, 13419, 1207, 20088, 5524, 4110, 2770, 26471, 121, 106, 106, 8925, 2603, 2027, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 5294, 2300, 28375, 1300, 1158, 9144, 2203, 1125, 1158, 1173, 4735, 16410, 106, 3728, 5746, 1222, 3622, 16952, 5005, 1120, 2040, 3728, 5746, 2397, 1128, 18474, 2040, 1192, 1109, 264, 13166, 488, 287, 1328, 1201, 106, 106, 183, 1603, 4829, 3825, 106, 125, 123, 124, 124, 106, 155, 7695, 1186, 2875, 488, 125, 123, 124, 124, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 4455, 13118, 26130, 7941, 6492, 1125, 488, 125, 123, 124, 124, 1175, 124, 124, 121, 1173, 4735, 1195, 1141, 1152, 271, 183, 271, 288, 26904, 116, 1281, 1508, 5052, 1813, 1170, 488, 124, 130, 2875, 488, 125, 123, 124, 124, 119, 3143, 26438, 1229, 1207, 2630, 21353, 1125, 1158, 1238, 197, 3555, 8447, 1861, 1125, 1158, 1173, 4735, 1195, 2036, 106, 106, 2272, 8934, 106, 140, 1250, 13118, 26130, 1227, 488, 125, 2822, 488, 125, 123, 124, 123, 119, 1158, 27646, 3657, 1814, 4355, 1227, 11824, 5328, 3728, 5746, 1222, 3622, 16952, 5005, 3366, 3618, 27216, 1170, 25840, 1469, 488, 126, 126, 27022, 1167, 488, 126, 123, 119, 130, 2199, 1197, 8945, 121, 1222, 3622, 16952, 5005, 1120, 3618, 6349, 4211, 192, 1594, 10581, 1336, 1469, 14141, 1197, 6505, 190, 1167, 1197, 3293, 1220, 29451, 165, 158, 1496, 2368, 1322, 16274, 1318, 10597, 11572, 1277, 1125, 488, 129, 125, 27022, 1300, 488, 124, 123, 123, 121, 1548, 488, 125, 131, 2738, 488, 125, 123, 124, 124, 119, 1188, 7762, 3617, 1125, 30690, 19795, 7615, 1170, 4637, 3728, 5746, 2397, 1128, 18474, 10656, 1158, 4062, 4514, 2335, 10250, 28375, 1300, 1158, 9144, 2203, 1125, 1158, 1173, 4735, 16410, 1186, 7576, 1105, 13503, 1158, 20198, 1167, 1207, 1143, 3215, 1124, 6565, 1440, 1357, 13686, 1188, 1561, 2968, 20645, 2391, 1227, 25840, 1227, 488, 125, 2798, 119, 3691, 1317, 20653, 16421, 1167, 1279, 4408, 4889, 26298, 2602, 4720, 1233, 271, 189, 17940, 288, 121, 1548, 2574, 1125, 1158, 5673, 2071, 1170, 1606, 15268, 1524, 22058, 12301, 1188, 1408, 1125, 488, 132, 127, 2199, 1197, 8945, 119, 1440, 1357, 13686, 1188, 1158, 4062, 4514, 7993, 6995, 15028, 4321, 11781, 1309, 2397, 1128, 18474, 14802, 1594, 5865, 1921, 119, 1186, 5588, 1125, 1281, 14675, 1313, 1158, 9625, 1197, 8447, 30141, 106, 106, 4929, 3006, 1541, 15430, 1167, 17541, 1125, 2697, 106, 106, 157, 1234, 18036, 106, 106, 22460, 1206, 106, 1686, 28250, 1125, 8826, 24424, 3299, 22233, 1158, 27646, 5016, 7352, 1835, 1814, 1348, 1167, 1158, 2397, 165, 5560, 1299, 16307, 2627, 1342, 1118, 1303, 1215, 1207, 29518, 15805, 1317, 8612, 1227, 2397, 157, 10739, 1357, 1281, 5971, 6529, 1186, 6311, 25772, 1167, 2487, 1170, 5059, 2714, 1158, 20198, 1167, 1207, 1606, 1143, 3215, 1124, 1485, 1524, 7032, 2782, 17413, 1317, 5545, 1125, 1158, 6380, 2392, 1653, 6500, 1170, 11824, 15211, 1125, 1200, 1706, 7138, 23949, 8103, 7941, 20378, 2595, 2290, 1170, 1874, 1125, 1606, 15211, 1338, 1434, 1793, 1125, 488, 287, 1328, 1201, 1524, 1167, 2487, 1170, 10452, 2851, 1192, 1109, 264, 13166, 488, 287, 1328, 2563, 1299, 15112, 1856, 6113, 1197, 3203, 1143, 3215, 1124, 1485, 1125, 1200, 1706, 1105, 2620, 6143, 15167, 20167, 1160, 1188, 11203, 1187, 1158, 15756, 1197, 488, 128, 2199, 1197, 8945, 1256, 18069, 1188, 1158, 1173, 4735, 1195, 2036, 10185, 3465, 1199, 1207, 8974, 6523, 1170, 14919, 29779, 21744, 13341, 1199, 1125, 1996, 1207, 488, 126, 123, 2199, 1197, 8945, 119, 1167, 7354, 2442, 1170, 3151, 1921, 1125, 4779, 8632, 1188, 15548, 1186, 6425, 2335, 25840, 1186, 1200, 1706, 7138, 2757, 488, 124, 132, 132, 128, 121, 4511, 14974, 5581, 1125, 5753, 1210, 2647, 1374, 20430, 1158, 1266, 5128, 1304, 19456, 3624, 1790, 3212, 30957, 1188, 19410, 1107, 1594, 1694, 6677, 106, 106, 8044, 5649, 106, 143, 1467, 1158, 8119, 1197, 7790, 30711, 1188, 1158, 8969, 1197, 488, 2449, 1346, 1357, 17272, 1170, 6508, 1125, 4428, 2569, 7138, 1186, 6425, 1167, 1318, 11266, 14333, 1303, 1227, 15211, 1338, 1434, 1793, 1125, 2397, 1128, 183, 2563, 1357, 7300, 1767, 1814, 4355, 1170, 11824, 5328, 3728, 5746, 1222, 3622, 16952, 5005, 1120, 22203, 1561, 12698, 1304, 1129, 14804, 14182, 1207, 25000, 1469, 1170, 2397, 157, 10739, 2567, 11697, 2964, 18878, 1313, 1189, 2423, 9058, 1125, 1281, 23071, 2021, 1227, 14919, 1167, 1125, 14141, 1197, 6505, 190, 1167, 1197, 3293, 13609, 24976, 4898, 1408, 14429, 3042, 1309, 1170, 14919, 1167, 1170, 2397, 24042, 1508, 1186, 6425, 1197, 6282, 17876, 15782, 20774, 4637, 29954, 2011, 13848, 1712, 1120, 22203, 1309, 2008, 2069, 12777, 5524, 1982, 3247, 1227, 12859, 4617, 18497, 1170, 6508, 1125, 4428, 2569, 7138, 1186, 4083, 1309, 15953, 19495, 1167, 1170, 15211, 1338, 1434, 1793, 1125, 2397, 1128, 18474, 1856, 1606, 12334, 1199, 8112, 6255, 4821, 1768, 1299, 16773, 1313, 1816, 13247, 1215, 1192, 1289, 2289, 19120, 6647, 1285, 6513, 1125, 2697, 1125, 14141, 1197, 6505, 190, 1167, 1197, 3293, 6963, 2487, 1158, 3968, 1110, 9918, 1189, 28250, 1125, 14439, 1125, 10600, 27536, 106, 106, 2524, 7662, 1207, 6282, 1357, 25281, 1170, 11824, 15211, 1125, 1200, 1706, 7138, 23949, 8103, 7941, 1767, 11360, 192, 1125, 1158, 1173, 4735, 1195, 1810, 20774, 5328, 1197, 4897, 4536, 1192, 1109, 264, 13166, 488, 287, 1328, 1201, 10656, 1561, 20845, 23598, 1125, 1158, 26892, 1227, 1921, 119, 1734, 1256, 13419, 1207, 20088, 5524, 4110, 2770, 26471, 121, 106, 106, 8925, 2603, 2027, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 5294, 2300, 28375, 1300, 1158, 9144, 2203, 1125, 1158, 1173, 4735, 16410, 106, 3728, 5746, 1222, 3622, 16952, 5005, 1120, 2040, 3728, 5746, 2397, 1128, 18474, 2040, 1192, 1109, 264, 13166, 488, 287, 1328, 1201, 106, 106, 183, 1603, 4829, 3825, 106, 125, 123, 124, 124, 106, 155, 7695, 1186, 2875, 488, 125, 123, 124, 124, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 2439, 2333, 2504, 12681, 260, 190, 1173, 5243, 1293, 1670, 1154, 2086, 9204, 1238, 7327, 488, 125, 125, 119, 488, 124, 132, 132, 127, 1147, 2068, 174, 1199, 1124, 1292, 1810, 1239, 1110, 18451, 11979, 22676, 106, 106, 141, 180, 11114, 106, 106, 144, 3560, 9932, 106, 141, 2589, 1147, 2068, 174, 1199, 1124, 1292, 1810, 25088, 12681, 260, 190, 1173, 5243, 9622, 1147, 4839, 189, 8429, 1147, 1135, 6054, 1161, 11089, 174, 9236, 2133, 5970, 11979, 1149, 1355, 1135, 7227, 1161, 488, 129, 119, 3602, 1147, 1135, 17540, 2707, 19679, 1161, 1765, 1131, 17604, 2000, 1463, 1110, 6459, 23303, 11979, 1267, 1147, 1135, 488, 124, 132, 131, 123, 1297, 2133, 8492, 1765, 4071, 1445, 9932, 1324, 1135, 3390, 27405, 1200, 4653, 120, 4858, 1494, 173, 2461, 1457, 1104, 1147, 488, 125, 123, 124, 126, 121, 106, 106, 2330, 1916, 1231, 1161, 11089, 174, 1575, 1147, 1135, 1907, 13908, 1147, 488, 125, 123, 124, 127, 119, 1386, 2827, 7736, 1765, 17567, 5783, 1147, 488, 125, 123, 124, 128, 121, 4711, 2994, 8641, 1386, 9917, 1135, 1254, 1112, 252, 1387, 186, 1405, 175, 10168, 1173, 1662, 29650, 1153, 4741, 1135, 12306, 10244, 1161, 1135, 7092, 1244, 23292, 1226, 4071, 1445, 1297, 2133, 2491, 14010, 1135, 1624, 3390, 1192, 1412, 1150, 1147, 488, 125, 123, 124, 129, 119, 7947, 1449, 3318, 14201, 6280, 1493, 121, 106, 106, 1428, 488, 125, 123, 124, 130, 1171, 488, 125, 123, 124, 131, 119, 1386, 1501, 4269, 1226, 1200, 1493, 1124, 3212, 1110, 26946, 1626, 1161, 1135, 8801, 3390, 1204, 1651, 1267, 13649, 1459, 1765, 2423, 6062, 1147, 488, 125, 123, 124, 131, 119, 1386, 1463, 1135, 3284, 23303, 11979, 1267, 1147, 3621, 11431, 2133, 7905, 1135, 2423, 11089, 174, 1575, 2687, 2589, 2811, 1596, 1163, 5071, 1135, 18451, 13121, 119, 1281, 23614, 1108, 3162, 2470, 26497, 181, 1265, 1150, 3728, 1263, 10645, 14126, 1163, 15130, 3263, 5039, 1149, 1297, 3743, 1135, 18451, 27470, 1285, 1386, 12914, 4823, 1147, 1135, 1907, 13908, 1171, 2423, 1147, 1135, 7248, 1501, 7467, 1147, 1135, 23303, 9258, 121, 7013, 17523, 6062, 8304, 2667, 1163, 11632, 1940, 1147, 1135, 2804, 11178, 1149, 1161, 1135, 11801, 18451, 1165, 6770, 1149, 22279, 2071, 1226, 4071, 1445, 1171, 23303, 11979, 1267, 1297, 106, 106, 2101, 16366, 1132, 9932, 106, 2439, 2333, 2504, 12681, 260, 190, 1173, 5243, 7905, 1110, 8801, 11979, 1267, 1147, 488, 125, 123, 124, 132, 1324, 13132, 13775, 1254, 1153, 182, 1217, 3266, 1459, 1765, 18202, 21326, 1386, 20277, 5057, 3263, 488, 125, 123, 11632, 1104, 1147, 7889, 7338, 1346, 1622, 7591, 6402, 1372, 1276, 1147, 1135, 6745, 1161, 1192, 3074, 2114, 13478, 1148, 15803, 1147, 1135, 6745, 1161, 11089, 174, 4741, 1171, 1184, 1961, 1148, 15803, 1147, 1135, 6745, 1161, 1135, 12795, 1161, 19682, 121, 106, 106, 3466, 4151, 488, 125, 126, 119, 488, 125, 123, 125, 124, 119, 1386, 9917, 1765, 1940, 8801, 19542, 1355, 3489, 1147, 1135, 6745, 1161, 11089, 174, 4741, 1758, 1463, 1110, 1704, 15590, 10244, 1622, 7591, 1147, 1765, 3002, 1130, 1782, 1161, 2068, 174, 1199, 1124, 1292, 2036, 106, 106, 140, 1210, 1214, 1196, 1525, 1171, 14907, 190, 106, 106, 13772, 1793, 23304, 1214, 1196, 1525, 106, 125, 123, 124, 125, 106, 149, 1145, 3553, 18451, 29745, 14045, 106, 106, 125, 123, 124, 126, 106, 125, 4802, 2320, 1147, 1135, 18451, 3390, 12360, 1635, 27470, 106, 106, 125, 123, 124, 127, 106, 152, 1136, 174, 1575, 1907, 13908, 14045, 106, 106, 125, 123, 124, 128, 106, 152, 1136, 174, 1575, 1907, 13908, 14045, 106, 144, 1112, 252, 1387, 186, 1405, 175, 10168, 1173, 1662, 29650, 1153, 1575, 106, 106, 125, 123, 124, 129, 106, 125, 4802, 2320, 1147, 1135, 6745, 1125, 1548, 6930, 106, 126, 9710, 2320, 1147, 1135, 23789, 5700, 25813, 27111, 6284, 10577, 8982, 106, 125, 4802, 2320, 1147, 1135, 6831, 2504, 15767, 1724, 1263, 172, 106, 106, 2101, 16366, 1132, 23304, 1214, 1196, 1525, 106, 125, 123, 125, 124, 106, 159, 1157, 1161, 11089, 174, 1575, 106, 106, 146, 8539, 29467, 14907, 190, 106, 106, 161, 2497, 3113, 1110, 10665, 22710, 172, 106, 124, 9085, 106, 125, 123, 125, 124, 133, 106, 106, 19751, 1248, 2268, 1972, 106, 106, 20634, 1171, 22874, 106, 106, 26722, 9354, 190, 106, 106, 9592, 15491, 11979, 1267, 106, 141, 2589, 1147, 7327, 488, 124, 132, 132, 127, 106, 141, 2589, 1147, 1135, 6054, 1161, 11089, 174, 1575, 106, 158, 4536, 30369, 1446, 1135, 6054, 1161, 11089, 174, 1575, 4297, 32001, 488, 106, 32000, 20036, 106, 2439, 2333, 2504, 12681, 260, 190, 1173, 5243, 1293, 1670, 1154, 2086, 5252, 1170, 488, 125, 125, 2875, 488, 124, 132, 132, 127, 1188, 2068, 174, 1199, 1124, 1292, 1810, 1299, 1189, 2077, 9721, 11979, 2038, 13870, 16432, 106, 106, 141, 11741, 106, 106, 143, 244, 2479, 190, 488, 106, 153, 244, 1188, 2068, 174, 1199, 1124, 1292, 1810, 25088, 12681, 260, 190, 1173, 5243, 2022, 1468, 1188, 4839, 189, 8429, 1313, 1158, 3734, 1125, 11089, 174, 4654, 1768, 8718, 1170, 11979, 2923, 1188, 19910, 1125, 488, 129, 2165, 1186, 6441, 1207, 20842, 1125, 1594, 28391, 10028, 7271, 2077, 9721, 11979, 2038, 23303, 1313, 1207, 4092, 488, 124, 132, 131, 123, 121, 1768, 1844, 1909, 28407, 4071, 12959, 1469, 10796, 27405, 1200, 4653, 120, 4858, 1494, 173, 2461, 1457, 1104, 1186, 488, 125, 123, 124, 126, 121, 106, 106, 2330, 1916, 1231, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 1186, 488, 125, 123, 124, 127, 119, 1527, 23951, 1594, 3694, 15257, 1186, 488, 125, 123, 124, 128, 121, 1643, 2076, 13407, 1527, 18900, 5613, 1112, 252, 1387, 186, 1405, 175, 10168, 1173, 1662, 29650, 1153, 4741, 4235, 18504, 1136, 1366, 1227, 19325, 2306, 1244, 1256, 1207, 4071, 1445, 1297, 1768, 16773, 6349, 1158, 3643, 4924, 1192, 1412, 1150, 1186, 488, 125, 123, 124, 129, 119, 12495, 1303, 1215, 3318, 14201, 6280, 1493, 121, 106, 106, 1686, 488, 125, 123, 124, 130, 1167, 488, 125, 123, 124, 131, 119, 1527, 28160, 3523, 1200, 1493, 1124, 3212, 3042, 1962, 8469, 1125, 10796, 6049, 1204, 1651, 1267, 13649, 7823, 1125, 1561, 6311, 6586, 1186, 488, 125, 123, 124, 131, 119, 1527, 2368, 1292, 1153, 1373, 1186, 6058, 1170, 6005, 11979, 2038, 23303, 1186, 21593, 121, 1768, 7354, 1170, 6311, 2077, 9721, 30530, 1125, 11089, 174, 1214, 1188, 1878, 12402, 1158, 11609, 6348, 2145, 11438, 8826, 9188, 1595, 2165, 2750, 26497, 181, 1265, 1150, 3728, 1263, 10645, 4855, 1188, 1125, 2205, 6344, 8365, 6111, 1767, 9357, 7823, 1197, 4322, 19754, 6348, 2145, 11438, 1527, 1281, 5971, 8483, 1227, 2714, 13944, 2010, 4699, 1167, 6311, 1125, 1158, 4235, 1186, 16881, 1313, 1158, 6964, 23303, 1297, 6280, 6586, 20314, 2435, 2856, 1125, 22934, 3151, 1317, 14408, 2804, 1125, 1158, 18409, 29754, 13870, 1731, 1125, 11979, 11872, 1256, 1207, 11979, 4195, 4071, 12959, 1167, 23303, 1297, 106, 106, 20616, 4096, 6049, 488, 106, 2439, 2333, 2504, 12681, 260, 190, 1173, 5243, 7354, 2077, 9721, 5843, 1186, 488, 125, 123, 124, 132, 1317, 5545, 1125, 1158, 13132, 13775, 1254, 1153, 182, 1217, 3266, 2616, 1909, 4319, 1285, 1527, 18764, 3171, 1163, 1484, 488, 125, 123, 1313, 1207, 14146, 1215, 13895, 1186, 5503, 1199, 2404, 197, 3555, 1227, 6745, 5519, 3074, 2114, 14599, 197, 3555, 1227, 6745, 1125, 11089, 174, 1214, 1167, 8826, 4408, 192, 1477, 2247, 1227, 6745, 1125, 1158, 9287, 1125, 19682, 121, 106, 106, 2606, 488, 125, 126, 2738, 488, 125, 123, 125, 124, 119, 1527, 18900, 1561, 3453, 14789, 6049, 1188, 10081, 1300, 1170, 6745, 1125, 11089, 174, 2620, 20096, 244, 1300, 1318, 7185, 1167, 1469, 1318, 23469, 1313, 1561, 3837, 23082, 1366, 16003, 174, 1199, 1124, 1292, 2036, 106, 106, 155, 26361, 1167, 6282, 106, 106, 155, 26361, 23303, 488, 106, 106, 488, 488, 125, 123, 124, 125, 106, 488, 22672, 6348, 19085, 1125, 29745, 17538, 14895, 488, 106, 488, 488, 125, 123, 124, 126, 106, 488, 1227, 16277, 6348, 19085, 1125, 26600, 1215, 10431, 106, 488, 488, 125, 123, 124, 127, 106, 22672, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 488, 106, 488, 488, 125, 123, 124, 128, 106, 22672, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 488, 106, 1254, 1112, 252, 1387, 186, 1405, 175, 10168, 1173, 1662, 29650, 1153, 1575, 106, 488, 488, 125, 123, 124, 129, 106, 488, 1227, 6745, 1125, 1548, 6930, 106, 488, 1227, 23789, 5700, 25813, 27111, 6284, 10577, 8982, 106, 488, 1227, 6831, 2504, 15767, 1724, 1263, 172, 106, 488, 488, 125, 123, 124, 130, 106, 488, 1125, 6389, 1493, 191, 1414, 186, 1518, 10444, 5245, 106, 488, 1227, 27701, 186, 3276, 1217, 17669, 106, 106, 488, 488, 125, 123, 124, 131, 106, 22672, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 488, 106, 1352, 1262, 19495, 1125, 1158, 11609, 6348, 19085, 106, 26429, 6831, 2504, 15767, 1724, 1263, 172, 1125, 2502, 1407, 106, 488, 1227, 6745, 1125, 5308, 11273, 1244, 3471, 4699, 13944, 2010, 4699, 116, 106, 488, 1227, 21659, 3849, 186, 23341, 6773, 1174, 1888, 186, 1125, 2397, 1174, 10831, 106, 488, 1227, 6745, 1125, 13363, 16652, 106, 488, 1227, 16277, 6348, 19085, 1300, 5646, 23588, 106, 488, 1227, 1198, 8529, 1303, 1209, 1620, 175, 2966, 172, 106, 488, 1125, 1158, 7022, 1460, 29874, 1198, 1414, 186, 106, 488, 1227, 16277, 6348, 19085, 1227, 2714, 13944, 2010, 4699, 23588, 106, 488, 1227, 6745, 1125, 1173, 1603, 13663, 106, 488, 1227, 6745, 1125, 3728, 1419, 106, 106, 155, 26361, 5843, 488, 106, 488, 488, 125, 123, 125, 124, 106, 6745, 1125, 11089, 174, 1214, 106, 106, 157, 1234, 18036, 1300, 1207, 6804, 17886, 106, 106, 159, 1157, 6348, 19085, 488, 106, 124, 9085, 106, 488, 125, 123, 125, 124, 1257, 106, 106, 2809, 2139, 1525, 5549, 1541, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 142, 7192, 1136, 11979, 2038, 24587, 106, 153, 3400, 1186, 2875, 488, 124, 132, 132, 127, 106, 153, 3400, 1313, 1158, 3734, 1125, 11089, 174, 1214, 106, 155, 7849, 1902, 24142, 1125, 1158, 3734, 1125, 11089, 174, 1214, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2439, 2333, 2504, 12681, 260, 190, 1173, 5243, 1293, 1670, 1154, 2086, 5252, 1170, 488, 125, 125, 2875, 488, 124, 132, 132, 127, 1188, 2068, 174, 1199, 1124, 1292, 1810, 1299, 1189, 2077, 9721, 11979, 2038, 13870, 16432, 106, 106, 141, 11741, 106, 106, 143, 244, 2479, 190, 488, 106, 153, 244, 1188, 2068, 174, 1199, 1124, 1292, 1810, 25088, 12681, 260, 190, 1173, 5243, 2022, 1468, 1188, 4839, 189, 8429, 1313, 1158, 3734, 1125, 11089, 174, 4654, 1768, 8718, 1170, 11979, 2923, 1188, 19910, 1125, 488, 129, 2165, 1186, 6441, 1207, 20842, 1125, 1594, 28391, 10028, 7271, 2077, 9721, 11979, 2038, 23303, 1313, 1207, 4092, 488, 124, 132, 131, 123, 121, 1768, 1844, 1909, 28407, 4071, 12959, 1469, 10796, 27405, 1200, 4653, 120, 4858, 1494, 173, 2461, 1457, 1104, 1186, 488, 125, 123, 124, 126, 121, 106, 106, 2330, 1916, 1231, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 1186, 488, 125, 123, 124, 127, 119, 1527, 23951, 1594, 3694, 15257, 1186, 488, 125, 123, 124, 128, 121, 1643, 2076, 13407, 1527, 18900, 5613, 1112, 252, 1387, 186, 1405, 175, 10168, 1173, 1662, 29650, 1153, 4741, 4235, 18504, 1136, 1366, 1227, 19325, 2306, 1244, 1256, 1207, 4071, 1445, 1297, 1768, 16773, 6349, 1158, 3643, 4924, 1192, 1412, 1150, 1186, 488, 125, 123, 124, 129, 119, 12495, 1303, 1215, 3318, 14201, 6280, 1493, 121, 106, 106, 1686, 488, 125, 123, 124, 130, 1167, 488, 125, 123, 124, 131, 119, 1527, 28160, 3523, 1200, 1493, 1124, 3212, 3042, 1962, 8469, 1125, 10796, 6049, 1204, 1651, 1267, 13649, 7823, 1125, 1561, 6311, 6586, 1186, 488, 125, 123, 124, 131, 119, 1527, 2368, 1292, 1153, 1373, 1186, 6058, 1170, 6005, 11979, 2038, 23303, 1186, 21593, 121, 1768, 7354, 1170, 6311, 2077, 9721, 30530, 1125, 11089, 174, 1214, 1188, 1878, 12402, 1158, 11609, 6348, 2145, 11438, 8826, 9188, 1595, 2165, 2750, 26497, 181, 1265, 1150, 3728, 1263, 10645, 4855, 1188, 1125, 2205, 6344, 8365, 6111, 1767, 9357, 7823, 1197, 4322, 19754, 6348, 2145, 11438, 1527, 1281, 5971, 8483, 1227, 2714, 13944, 2010, 4699, 1167, 6311, 1125, 1158, 4235, 1186, 16881, 1313, 1158, 6964, 23303, 1297, 6280, 6586, 20314, 2435, 2856, 1125, 22934, 3151, 1317, 14408, 2804, 1125, 1158, 18409, 29754, 13870, 1731, 1125, 11979, 11872, 1256, 1207, 11979, 4195, 4071, 12959, 1167, 23303, 1297, 106, 106, 20616, 4096, 6049, 488, 106, 2439, 2333, 2504, 12681, 260, 190, 1173, 5243, 7354, 2077, 9721, 5843, 1186, 488, 125, 123, 124, 132, 1317, 5545, 1125, 1158, 13132, 13775, 1254, 1153, 182, 1217, 3266, 2616, 1909, 4319, 1285, 1527, 18764, 3171, 1163, 1484, 488, 125, 123, 1313, 1207, 14146, 1215, 13895, 1186, 5503, 1199, 2404, 197, 3555, 1227, 6745, 5519, 3074, 2114, 14599, 197, 3555, 1227, 6745, 1125, 11089, 174, 1214, 1167, 8826, 4408, 192, 1477, 2247, 1227, 6745, 1125, 1158, 9287, 1125, 19682, 121, 106, 106, 2606, 488, 125, 126, 2738, 488, 125, 123, 125, 124, 119, 1527, 18900, 1561, 3453, 14789, 6049, 1188, 10081, 1300, 1170, 6745, 1125, 11089, 174, 2620, 20096, 244, 1300, 1318, 7185, 1167, 1469, 1318, 23469, 1313, 1561, 3837, 23082, 1366, 16003, 174, 1199, 1124, 1292, 2036, 106, 106, 155, 26361, 1167, 6282, 106, 106, 155, 26361, 23303, 488, 106, 106, 488, 488, 125, 123, 124, 125, 106, 488, 22672, 6348, 19085, 1125, 29745, 17538, 14895, 488, 106, 488, 488, 125, 123, 124, 126, 106, 488, 1227, 16277, 6348, 19085, 1125, 26600, 1215, 10431, 106, 488, 488, 125, 123, 124, 127, 106, 22672, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 488, 106, 488, 488, 125, 123, 124, 128, 106, 22672, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 488, 106, 1254, 1112, 252, 1387, 186, 1405, 175, 10168, 1173, 1662, 29650, 1153, 1575, 106, 488, 488, 125, 123, 124, 129, 106, 488, 1227, 6745, 1125, 1548, 6930, 106, 488, 1227, 23789, 5700, 25813, 27111, 6284, 10577, 8982, 106, 488, 1227, 6831, 2504, 15767, 1724, 1263, 172, 106, 488, 488, 125, 123, 124, 130, 106, 488, 1125, 6389, 1493, 191, 1414, 186, 1518, 10444, 5245, 106, 488, 1227, 27701, 186, 3276, 1217, 17669, 106, 106, 488, 488, 125, 123, 124, 131, 106, 22672, 1125, 11089, 174, 1214, 1227, 2714, 13944, 2010, 4699, 488, 106, 1352, 1262, 19495, 1125, 1158, 11609, 6348, 19085, 106, 26429, 6831, 2504, 15767, 1724, 1263, 172, 1125, 2502, 1407, 106, 488, 1227, 6745, 1125, 5308, 11273, 1244, 3471, 4699, 13944, 2010, 4699, 116, 106, 488, 1227, 21659, 3849, 186, 23341, 6773, 1174, 1888, 186, 1125, 2397, 1174, 10831, 106, 488, 1227, 6745, 1125, 13363, 16652, 106, 488, 1227, 16277, 6348, 19085, 1300, 5646, 23588, 106, 488, 1227, 1198, 8529, 1303, 1209, 1620, 175, 2966, 172, 106, 488, 1125, 1158, 7022, 1460, 29874, 1198, 1414, 186, 106, 488, 1227, 16277, 6348, 19085, 1227, 2714, 13944, 2010, 4699, 23588, 106, 488, 1227, 6745, 1125, 1173, 1603, 13663, 106, 488, 1227, 6745, 1125, 3728, 1419, 106, 106, 155, 26361, 5843, 488, 106, 488, 488, 125, 123, 125, 124, 106, 6745, 1125, 11089, 174, 1214, 106, 106, 157, 1234, 18036, 1300, 1207, 6804, 17886, 106, 106, 159, 1157, 6348, 19085, 488, 106, 124, 9085, 106, 488, 125, 123, 125, 124, 1257, 106, 106, 2809, 2139, 1525, 5549, 1541, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 142, 7192, 1136, 11979, 2038, 24587, 106, 153, 3400, 1186, 2875, 488, 124, 132, 132, 127, 106, 153, 3400, 1313, 1158, 3734, 1125, 11089, 174, 1214, 106, 155, 7849, 1902, 24142, 1125, 1158, 3734, 1125, 11089, 174, 1214, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 162, 31625, 1518, 5186, 1403, 1107, 1463, 1110, 7927, 2687, 2589, 4950, 17071, 119, 9204, 1238, 5696, 488, 125, 125, 119, 488, 124, 132, 125, 123, 1147, 1165, 1737, 6664, 7927, 1762, 1171, 12743, 1238, 7262, 488, 129, 119, 488, 125, 123, 123, 123, 1147, 2482, 15671, 4909, 26550, 106, 106, 3780, 1239, 3284, 5388, 1226, 1765, 5897, 1296, 2908, 28538, 1518, 5273, 1147, 1135, 16140, 6446, 1306, 1307, 19066, 29060, 1457, 106, 106, 141, 180, 11114, 106, 3780, 1463, 9204, 2127, 1110, 4772, 1161, 2493, 2189, 6963, 1324, 1765, 10886, 18651, 16099, 4189, 1120, 2495, 3026, 1110, 1114, 1273, 3948, 186, 1171, 1765, 11432, 1135, 2674, 21904, 8760, 3521, 20312, 186, 1518, 5186, 1403, 1657, 7223, 17380, 12238, 2982, 1386, 3936, 18948, 1147, 488, 124, 132, 126, 126, 1163, 10209, 1126, 1147, 10221, 9467, 1346, 4909, 26550, 106, 106, 3780, 11462, 1147, 1135, 3569, 15005, 1762, 1186, 3659, 1149, 1238, 6678, 488, 126, 124, 119, 488, 124, 132, 127, 125, 1147, 11610, 1171, 18045, 1135, 2149, 488, 126, 132, 125, 128, 132, 127, 130, 127, 121, 2133, 11462, 1147, 1135, 18815, 3545, 5055, 6832, 21979, 106, 106, 23079, 6778, 1156, 1324, 9970, 1659, 1325, 31625, 1518, 5186, 1403, 1107, 8576, 5064, 1238, 7262, 488, 129, 119, 488, 125, 123, 123, 123, 121, 7013, 5111, 1463, 2050, 184, 1589, 1171, 1765, 1296, 13422, 29082, 1156, 1355, 1281, 2036, 106, 106, 6937, 488, 124, 132, 132, 130, 4945, 1765, 6775, 119, 1386, 1463, 17080, 1163, 1332, 16310, 15411, 24753, 1175, 124, 132, 126, 125, 120, 125, 123, 124, 126, 1496, 2000, 2055, 2023, 1765, 13175, 1226, 20809, 10805, 106, 106, 142, 1532, 1107, 106, 145, 1174, 1212, 1226, 1765, 5897, 1296, 2908, 28538, 1518, 5273, 1147, 1135, 6446, 1306, 1307, 19066, 29060, 1346, 1758, 1110, 2664, 1446, 488, 124, 132, 129, 128, 1163, 488, 124, 132, 130, 124, 119, 1386, 6971, 2197, 4633, 3818, 16908, 1226, 1765, 31244, 106, 106, 3780, 1959, 14595, 1147, 15432, 4279, 1518, 1154, 1707, 1361, 11597, 3541, 1355, 1266, 1278, 1377, 2683, 119, 9096, 1135, 5897, 1161, 4633, 1142, 1306, 2194, 9373, 106, 106, 145, 6417, 11114, 106, 106, 142, 20770, 106, 124, 132, 128, 129, 133, 3758, 1580, 1163, 13366, 16647, 133, 1233, 1274, 13896, 106, 124, 132, 128, 129, 133, 18136, 1665, 1238, 1135, 29375, 133, 6767, 6388, 16642, 6632, 3835, 5186, 1655, 1361, 29695, 116, 106, 124, 132, 128, 129, 133, 1410, 1325, 7737, 3318, 133, 1233, 1783, 1242, 106, 124, 132, 128, 130, 133, 1209, 20433, 16637, 133, 5612, 7162, 28962, 106, 124, 132, 128, 130, 133, 488, 128, 4357, 1484, 1163, 1222, 3711, 133, 31763, 2057, 1173, 6290, 1376, 106, 124, 132, 128, 130, 133, 1518, 1470, 1410, 184, 1226, 4020, 133, 1200, 2771, 27359, 11109, 1431, 106, 124, 132, 128, 131, 133, 1410, 6815, 13511, 1161, 1200, 1651, 9513, 10935, 24548, 1755, 106, 124, 132, 128, 131, 133, 1410, 5614, 175, 1224, 133, 14281, 16860, 22944, 106, 124, 132, 128, 131, 133, 6842, 3307, 1128, 133, 5922, 2066, 14754, 1977, 106, 124, 132, 129, 124, 133, 27221, 1254, 1507, 12505, 133, 2571, 7776, 1254, 1507, 12505, 106, 124, 132, 129, 124, 133, 11597, 3541, 1355, 1266, 1278, 1377, 2683, 133, 4633, 1142, 1306, 31259, 106, 124, 132, 129, 125, 133, 1254, 15261, 1446, 8961, 17597, 133, 27359, 14970, 1977, 106, 124, 132, 129, 127, 133, 15155, 173, 28655, 14567, 1347, 133, 9595, 1548, 6655, 106, 124, 132, 129, 128, 133, 18431, 1459, 1216, 1506, 16694, 1951, 5238, 4732, 17174, 106, 124, 132, 129, 128, 133, 2460, 1461, 1161, 1252, 1949, 3009, 1200, 2771, 1306, 1277, 173, 1977, 106, 124, 132, 129, 131, 133, 21378, 1161, 1110, 2941, 1615, 4740, 133, 1518, 4313, 1153, 106, 124, 132, 132, 124, 133, 1410, 31847, 1161, 9595, 13082, 1229, 197, 133, 1252, 1128, 3318, 14660, 1149, 1226, 1110, 16586, 27070, 106, 106, 14712, 12902, 106, 106, 140, 5381, 106, 15226, 3818, 10812, 488, 124, 132, 129, 131, 133, 10347, 13387, 1149, 4862, 1121, 1147, 1110, 1748, 12995, 13690, 1226, 1306, 1307, 19066, 29060, 1104, 106, 15226, 3818, 10812, 488, 124, 132, 129, 132, 133, 10347, 13387, 1149, 4862, 1121, 1147, 1110, 1748, 12995, 13690, 1226, 1306, 1307, 19066, 29060, 1104, 106, 106, 21320, 1959, 106, 106, 147, 1307, 19066, 29060, 1104, 106, 106, 26722, 14520, 106, 106, 140, 16609, 17071, 106, 141, 2589, 1147, 5696, 488, 124, 132, 125, 123, 106, 141, 2589, 1147, 1165, 16442, 106, 141, 2589, 1147, 1135, 9810, 1314, 8448, 2588, 106, 140, 16609, 30369, 9204, 1163, 1110, 7927, 5424, 106, 143, 2295, 1147, 7262, 488, 125, 123, 123, 123, 106, 143, 2295, 1147, 2482, 4524, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 131, 123, 106, 140, 16609, 30369, 2050, 184, 1589, 106, 155, 6857, 2258, 4633, 3818, 10812, 1226, 10347, 13387, 1149, 4862, 1121, 106, 13704, 1121, 2000, 2515, 2091, 1156, 2571, 7776, 1254, 1507, 1712, 9373, 32001, 488, 106, 32000, 20036, 106, 162, 31625, 1518, 5186, 1403, 1107, 1299, 1189, 19166, 8403, 14994, 20020, 5252, 1170, 488, 125, 125, 2829, 488, 124, 132, 125, 123, 1188, 1165, 16442, 6396, 16260, 116, 1167, 4541, 1170, 488, 129, 2584, 488, 125, 123, 123, 123, 1188, 2482, 4524, 1175, 15784, 7540, 1576, 106, 106, 5164, 1299, 11129, 9918, 1256, 1594, 6315, 1227, 2908, 28538, 1518, 5273, 1313, 1158, 4726, 23170, 12519, 172, 4847, 1422, 14768, 106, 106, 141, 11741, 488, 106, 5164, 1299, 5252, 1313, 1318, 4446, 1125, 4501, 15982, 1561, 10023, 18651, 16099, 4189, 4829, 1659, 1318, 1114, 1273, 3948, 2086, 1167, 1594, 9159, 1170, 13970, 6513, 16834, 23247, 20312, 186, 1518, 5186, 1403, 1657, 4787, 6853, 1893, 16103, 1527, 21180, 6389, 16260, 1186, 488, 124, 132, 126, 126, 119, 1256, 7970, 2368, 20285, 1188, 10221, 15486, 1571, 17941, 5068, 106, 106, 5164, 1110, 18327, 1313, 21090, 13900, 2585, 1527, 2368, 14189, 172, 1170, 488, 126, 124, 3201, 488, 124, 132, 127, 125, 1186, 7892, 1214, 1571, 9864, 1167, 7810, 1178, 1170, 2406, 1766, 1890, 488, 126, 132, 125, 128, 132, 127, 130, 127, 119, 1527, 1746, 1123, 1313, 1170, 11752, 1221, 3725, 3672, 1158, 22925, 12507, 5549, 5907, 106, 106, 161, 1146, 2258, 2335, 9970, 1659, 1325, 31625, 1518, 5186, 1403, 1107, 1299, 4541, 1170, 488, 129, 2584, 488, 125, 123, 123, 123, 119, 1594, 5773, 1110, 1913, 3000, 1109, 5364, 1167, 1909, 1116, 1274, 1312, 7562, 1201, 1473, 1186, 1127, 1657, 106, 106, 2524, 488, 124, 132, 132, 130, 1188, 1594, 1805, 8566, 1527, 1299, 1557, 3649, 1188, 10721, 9034, 15411, 24753, 1175, 124, 132, 126, 125, 120, 125, 123, 124, 126, 1496, 5176, 1132, 1500, 1561, 1417, 2818, 7542, 1318, 11400, 2100, 16981, 6002, 106, 106, 20616, 4096, 488, 106, 142, 10211, 1829, 1256, 1170, 6315, 1227, 2908, 28538, 1518, 5273, 1313, 1158, 4726, 12519, 172, 4847, 1422, 5520, 29571, 1125, 488, 124, 132, 129, 128, 1188, 488, 124, 132, 130, 124, 119, 1527, 7810, 1178, 2069, 4633, 3818, 10812, 1256, 1561, 31244, 106, 106, 5164, 1110, 19680, 2072, 1313, 1321, 5919, 1160, 1188, 1266, 1278, 1377, 2683, 1125, 15432, 4279, 1518, 1154, 1707, 1313, 1170, 6315, 6348, 184, 1142, 1306, 2194, 9373, 106, 106, 145, 6417, 4134, 106, 106, 142, 7359, 488, 106, 488, 124, 132, 128, 129, 1257, 3758, 1580, 1163, 13366, 16647, 1257, 1233, 1274, 13896, 106, 488, 124, 132, 128, 129, 1257, 18136, 1665, 1238, 1135, 29375, 1257, 6767, 6388, 16642, 6632, 3835, 5186, 1655, 1361, 29695, 116, 106, 488, 124, 132, 128, 129, 1257, 1548, 1252, 1541, 1165, 2950, 1364, 17298, 1325, 7737, 3318, 116, 1257, 1233, 1783, 1242, 106, 488, 124, 132, 128, 130, 1257, 1209, 20433, 16637, 1257, 5612, 7162, 28962, 106, 488, 124, 132, 128, 130, 1257, 1548, 1204, 9249, 1187, 1317, 7685, 1175, 128, 4357, 1484, 1163, 1222, 3711, 116, 1257, 31763, 2057, 1173, 6290, 1376, 106, 488, 124, 132, 128, 130, 1257, 18282, 189, 2139, 13944, 1256, 4082, 14165, 1470, 1410, 184, 1226, 4020, 116, 1257, 1200, 2771, 27359, 11109, 1431, 106, 488, 124, 132, 128, 131, 1257, 2576, 13772, 1157, 19320, 3748, 17298, 6815, 13511, 1161, 1200, 11848, 116, 1257, 10935, 24548, 1755, 106, 488, 124, 132, 128, 131, 1257, 1410, 5614, 175, 1224, 1257, 14281, 16860, 22944, 106, 488, 124, 132, 128, 131, 1257, 1643, 1202, 1538, 3352, 1227, 15892, 7933, 2566, 3307, 1128, 116, 1257, 5922, 2066, 14754, 1977, 106, 488, 124, 132, 129, 124, 1257, 27221, 1254, 1507, 12505, 1257, 2571, 7776, 1254, 1507, 12505, 106, 488, 124, 132, 129, 124, 1257, 1321, 5919, 1160, 1188, 1266, 1278, 1377, 2683, 9845, 1506, 3541, 1355, 1266, 1278, 1377, 2683, 116, 1257, 4633, 1142, 1306, 31259, 106, 488, 124, 132, 129, 125, 1257, 1198, 1145, 4930, 488, 125, 131, 7890, 15261, 1446, 8961, 17597, 116, 1257, 27359, 14970, 1977, 106, 488, 124, 132, 129, 127, 1257, 15155, 173, 28655, 14567, 1347, 1257, 9595, 1548, 6655, 106, 488, 124, 132, 129, 128, 1257, 1643, 7699, 1861, 1197, 1111, 1538, 243, 3576, 6047, 2565, 1459, 1216, 1506, 25802, 1257, 1951, 5238, 4732, 17174, 106, 488, 124, 132, 129, 128, 1257, 1643, 4273, 177, 1197, 1131, 1212, 4289, 2840, 1161, 1252, 1949, 4495, 1257, 1200, 2771, 1306, 1277, 173, 1977, 106, 488, 124, 132, 129, 131, 1257, 21378, 1161, 1110, 2941, 1615, 4740, 1257, 1518, 4313, 1153, 106, 488, 124, 132, 132, 124, 1257, 1410, 31847, 1161, 9595, 13082, 1229, 197, 1257, 1252, 1128, 3318, 14660, 1149, 1226, 1110, 16586, 27070, 106, 106, 159, 1819, 28084, 106, 106, 157, 1416, 6897, 5702, 488, 106, 4633, 3818, 10812, 488, 124, 132, 129, 131, 1257, 30322, 19166, 1313, 1189, 2423, 6315, 1313, 1318, 4726, 1218, 1460, 1313, 12519, 172, 4847, 1422, 197, 7933, 1307, 19066, 29060, 18421, 106, 4633, 3818, 10812, 488, 124, 132, 129, 132, 1257, 30322, 19166, 1313, 1189, 2423, 6315, 1313, 1318, 4726, 1218, 1460, 1313, 12519, 172, 4847, 1422, 197, 7933, 1307, 19066, 29060, 18421, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12519, 172, 4847, 1422, 197, 106, 106, 28870, 5825, 488, 106, 106, 3742, 1836, 8403, 106, 153, 3400, 1186, 2829, 488, 124, 132, 125, 123, 106, 153, 3400, 1188, 1165, 16442, 106, 153, 3400, 1313, 1158, 10660, 1125, 9810, 1538, 7778, 106, 155, 7849, 1902, 13900, 14232, 2335, 5424, 10816, 106, 31133, 1467, 1186, 2584, 488, 125, 123, 123, 123, 106, 31133, 1467, 1188, 2482, 4524, 106, 31133, 1467, 1188, 488, 131, 123, 2165, 106, 155, 7849, 1902, 13900, 3000, 1109, 10641, 106, 155, 6857, 2258, 4633, 3818, 10812, 1227, 6005, 19166, 1313, 1189, 2423, 6315, 106, 3742, 1836, 4716, 3000, 2162, 244, 2571, 7776, 1254, 1507, 1712, 9373, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 162, 31625, 1518, 5186, 1403, 1107, 1299, 1189, 19166, 8403, 14994, 20020, 5252, 1170, 488, 125, 125, 2829, 488, 124, 132, 125, 123, 1188, 1165, 16442, 6396, 16260, 116, 1167, 4541, 1170, 488, 129, 2584, 488, 125, 123, 123, 123, 1188, 2482, 4524, 1175, 15784, 7540, 1576, 106, 106, 5164, 1299, 11129, 9918, 1256, 1594, 6315, 1227, 2908, 28538, 1518, 5273, 1313, 1158, 4726, 23170, 12519, 172, 4847, 1422, 14768, 106, 106, 141, 11741, 488, 106, 5164, 1299, 5252, 1313, 1318, 4446, 1125, 4501, 15982, 1561, 10023, 18651, 16099, 4189, 4829, 1659, 1318, 1114, 1273, 3948, 2086, 1167, 1594, 9159, 1170, 13970, 6513, 16834, 23247, 20312, 186, 1518, 5186, 1403, 1657, 4787, 6853, 1893, 16103, 1527, 21180, 6389, 16260, 1186, 488, 124, 132, 126, 126, 119, 1256, 7970, 2368, 20285, 1188, 10221, 15486, 1571, 17941, 5068, 106, 106, 5164, 1110, 18327, 1313, 21090, 13900, 2585, 1527, 2368, 14189, 172, 1170, 488, 126, 124, 3201, 488, 124, 132, 127, 125, 1186, 7892, 1214, 1571, 9864, 1167, 7810, 1178, 1170, 2406, 1766, 1890, 488, 126, 132, 125, 128, 132, 127, 130, 127, 119, 1527, 1746, 1123, 1313, 1170, 11752, 1221, 3725, 3672, 1158, 22925, 12507, 5549, 5907, 106, 106, 161, 1146, 2258, 2335, 9970, 1659, 1325, 31625, 1518, 5186, 1403, 1107, 1299, 4541, 1170, 488, 129, 2584, 488, 125, 123, 123, 123, 119, 1594, 5773, 1110, 1913, 3000, 1109, 5364, 1167, 1909, 1116, 1274, 1312, 7562, 1201, 1473, 1186, 1127, 1657, 106, 106, 2524, 488, 124, 132, 132, 130, 1188, 1594, 1805, 8566, 1527, 1299, 1557, 3649, 1188, 10721, 9034, 15411, 24753, 1175, 124, 132, 126, 125, 120, 125, 123, 124, 126, 1496, 5176, 1132, 1500, 1561, 1417, 2818, 7542, 1318, 11400, 2100, 16981, 6002, 106, 106, 20616, 4096, 488, 106, 142, 10211, 1829, 1256, 1170, 6315, 1227, 2908, 28538, 1518, 5273, 1313, 1158, 4726, 12519, 172, 4847, 1422, 5520, 29571, 1125, 488, 124, 132, 129, 128, 1188, 488, 124, 132, 130, 124, 119, 1527, 7810, 1178, 2069, 4633, 3818, 10812, 1256, 1561, 31244, 106, 106, 5164, 1110, 19680, 2072, 1313, 1321, 5919, 1160, 1188, 1266, 1278, 1377, 2683, 1125, 15432, 4279, 1518, 1154, 1707, 1313, 1170, 6315, 6348, 184, 1142, 1306, 2194, 9373, 106, 106, 145, 6417, 4134, 106, 106, 142, 7359, 488, 106, 488, 124, 132, 128, 129, 1257, 3758, 1580, 1163, 13366, 16647, 1257, 1233, 1274, 13896, 106, 488, 124, 132, 128, 129, 1257, 18136, 1665, 1238, 1135, 29375, 1257, 6767, 6388, 16642, 6632, 3835, 5186, 1655, 1361, 29695, 116, 106, 488, 124, 132, 128, 129, 1257, 1548, 1252, 1541, 1165, 2950, 1364, 17298, 1325, 7737, 3318, 116, 1257, 1233, 1783, 1242, 106, 488, 124, 132, 128, 130, 1257, 1209, 20433, 16637, 1257, 5612, 7162, 28962, 106, 488, 124, 132, 128, 130, 1257, 1548, 1204, 9249, 1187, 1317, 7685, 1175, 128, 4357, 1484, 1163, 1222, 3711, 116, 1257, 31763, 2057, 1173, 6290, 1376, 106, 488, 124, 132, 128, 130, 1257, 18282, 189, 2139, 13944, 1256, 4082, 14165, 1470, 1410, 184, 1226, 4020, 116, 1257, 1200, 2771, 27359, 11109, 1431, 106, 488, 124, 132, 128, 131, 1257, 2576, 13772, 1157, 19320, 3748, 17298, 6815, 13511, 1161, 1200, 11848, 116, 1257, 10935, 24548, 1755, 106, 488, 124, 132, 128, 131, 1257, 1410, 5614, 175, 1224, 1257, 14281, 16860, 22944, 106, 488, 124, 132, 128, 131, 1257, 1643, 1202, 1538, 3352, 1227, 15892, 7933, 2566, 3307, 1128, 116, 1257, 5922, 2066, 14754, 1977, 106, 488, 124, 132, 129, 124, 1257, 27221, 1254, 1507, 12505, 1257, 2571, 7776, 1254, 1507, 12505, 106, 488, 124, 132, 129, 124, 1257, 1321, 5919, 1160, 1188, 1266, 1278, 1377, 2683, 9845, 1506, 3541, 1355, 1266, 1278, 1377, 2683, 116, 1257, 4633, 1142, 1306, 31259, 106, 488, 124, 132, 129, 125, 1257, 1198, 1145, 4930, 488, 125, 131, 7890, 15261, 1446, 8961, 17597, 116, 1257, 27359, 14970, 1977, 106, 488, 124, 132, 129, 127, 1257, 15155, 173, 28655, 14567, 1347, 1257, 9595, 1548, 6655, 106, 488, 124, 132, 129, 128, 1257, 1643, 7699, 1861, 1197, 1111, 1538, 243, 3576, 6047, 2565, 1459, 1216, 1506, 25802, 1257, 1951, 5238, 4732, 17174, 106, 488, 124, 132, 129, 128, 1257, 1643, 4273, 177, 1197, 1131, 1212, 4289, 2840, 1161, 1252, 1949, 4495, 1257, 1200, 2771, 1306, 1277, 173, 1977, 106, 488, 124, 132, 129, 131, 1257, 21378, 1161, 1110, 2941, 1615, 4740, 1257, 1518, 4313, 1153, 106, 488, 124, 132, 132, 124, 1257, 1410, 31847, 1161, 9595, 13082, 1229, 197, 1257, 1252, 1128, 3318, 14660, 1149, 1226, 1110, 16586, 27070, 106, 106, 159, 1819, 28084, 106, 106, 157, 1416, 6897, 5702, 488, 106, 4633, 3818, 10812, 488, 124, 132, 129, 131, 1257, 30322, 19166, 1313, 1189, 2423, 6315, 1313, 1318, 4726, 1218, 1460, 1313, 12519, 172, 4847, 1422, 197, 7933, 1307, 19066, 29060, 18421, 106, 4633, 3818, 10812, 488, 124, 132, 129, 132, 1257, 30322, 19166, 1313, 1189, 2423, 6315, 1313, 1318, 4726, 1218, 1460, 1313, 12519, 172, 4847, 1422, 197, 7933, 1307, 19066, 29060, 18421, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 12519, 172, 4847, 1422, 197, 106, 106, 28870, 5825, 488, 106, 106, 3742, 1836, 8403, 106, 153, 3400, 1186, 2829, 488, 124, 132, 125, 123, 106, 153, 3400, 1188, 1165, 16442, 106, 153, 3400, 1313, 1158, 10660, 1125, 9810, 1538, 7778, 106, 155, 7849, 1902, 13900, 14232, 2335, 5424, 10816, 106, 31133, 1467, 1186, 2584, 488, 125, 123, 123, 123, 106, 31133, 1467, 1188, 2482, 4524, 106, 31133, 1467, 1188, 488, 131, 123, 2165, 106, 155, 7849, 1902, 13900, 3000, 1109, 10641, 106, 155, 6857, 2258, 4633, 3818, 10812, 1227, 6005, 19166, 1313, 1189, 2423, 6315, 106, 3742, 1836, 4716, 3000, 2162, 244, 2571, 7776, 1254, 1507, 1712, 9373, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 5318, 1239, 1110, 16375, 1492, 280, 5811, 13010, 172, 1449, 1204, 1889, 9212, 1306, 1109, 2181, 1988, 11395, 1161, 488, 127, 3035, 1255, 1457, 106, 106, 158, 31751, 106, 28547, 7412, 1110, 1907, 1147, 1110, 3791, 1926, 16004, 5336, 119, 1970, 1463, 1110, 5038, 1625, 119, 1110, 15699, 3594, 7971, 1659, 1110, 2131, 12056, 19041, 119, 1171, 16286, 5182, 23925, 6176, 2068, 1174, 26758, 17552, 1163, 1110, 29939, 8836, 1449, 1765, 18021, 1933, 1399, 121, 2068, 1174, 1239, 16108, 1163, 20808, 2488, 1110, 3791, 1926, 2515, 3850, 106, 106, 1428, 4129, 13842, 1110, 6924, 9463, 1192, 180, 27597, 2141, 1543, 15733, 2067, 30251, 24910, 1163, 2751, 2970, 4457, 121, 6767, 3386, 120, 20094, 184, 2877, 3936, 2067, 1110, 26177, 1302, 2293, 4149, 20763, 1324, 18684, 5182, 11719, 2884, 7142, 1163, 24022, 1135, 26177, 1114, 26347, 1656, 1161, 2067, 1113, 7493, 3703, 2067, 1579, 1310, 2241, 1410, 26177, 1239, 6167, 1135, 2515, 1132, 2488, 1758, 2068, 1174, 7634, 3078, 1192, 29383, 2712, 3016, 1163, 2583, 2470, 2068, 12361, 1135, 8720, 4433, 8319, 2000, 1239, 6167, 1135, 19041, 1161, 1135, 3791, 1926, 16004, 5336, 1161, 3187, 7526, 3268, 5404, 1163, 1933, 1399, 1361, 1499, 8376, 2068, 1174, 28510, 2600, 1907, 1386, 1239, 1147, 1135, 9613, 121, 106, 106, 5241, 14969, 119, 1192, 29383, 1189, 1343, 7314, 1641, 26758, 1147, 4457, 1324, 2068, 12361, 2000, 16736, 2067, 2293, 1239, 1765, 8728, 3632, 1286, 4095, 106, 106, 7914, 1551, 1201, 106, 140, 29383, 1306, 9981, 3382, 133, 1192, 29383, 1239, 1110, 6924, 2000, 119, 2141, 1543, 15733, 2067, 30251, 24910, 1163, 4797, 2067, 2131, 12056, 19041, 121, 3676, 1239, 1189, 29889, 1302, 2067, 11146, 1239, 1905, 1163, 4246, 2970, 121, 1459, 13255, 2067, 2511, 184, 2877, 3936, 2067, 1110, 26177, 1302, 2293, 4149, 1734, 3992, 1324, 20801, 1171, 1704, 11719, 1151, 13758, 4433, 1618, 9463, 2068, 1174, 1583, 14380, 1315, 1446, 5081, 2133, 1239, 6167, 1135, 19041, 1161, 1135, 17020, 5712, 16004, 5336, 1161, 3187, 7526, 3676, 19999, 1135, 5355, 6446, 7484, 29827, 6842, 1238, 1135, 1202, 10918, 20048, 109, 1758, 1239, 2067, 1235, 1728, 1196, 1138, 2369, 4095, 6767, 3386, 4613, 2374, 120, 20094, 184, 2877, 1463, 16176, 1625, 10148, 1591, 6744, 14772, 1731, 196, 1810, 26475, 185, 5417, 1135, 5582, 14764, 1212, 5038, 1625, 119, 2000, 11051, 19780, 2067, 14445, 1438, 1147, 3187, 1213, 1163, 1280, 1324, 1135, 1618, 2293, 13901, 1147, 1969, 12556, 106, 3681, 1174, 133, 14941, 1239, 5388, 1905, 1413, 25294, 2662, 8319, 119, 29297, 1446, 1135, 3313, 1302, 1386, 1239, 1135, 19041, 1161, 1135, 16004, 5336, 1161, 3187, 1213, 1171, 1302, 1765, 15073, 18021, 8836, 1110, 29939, 1238, 2667, 1302, 12577, 2667, 1163, 7227, 25124, 1386, 1239, 1147, 1135, 9613, 121, 2133, 1239, 6762, 1147, 1449, 1192, 180, 27597, 2000, 23555, 26628, 1163, 2667, 1296, 5145, 192, 4094, 109, 2043, 1386, 1239, 6176, 119, 1758, 11059, 1151, 4285, 12855, 3268, 2043, 1386, 1239, 4006, 1659, 1386, 2778, 1375, 8031, 1192, 29383, 1855, 13369, 4364, 2133, 19999, 1235, 29784, 1989, 109, 1175, 5578, 488, 1544, 11152, 116, 1171, 8618, 17371, 8824, 1201, 109, 1171, 1602, 5334, 1108, 1147, 4457, 1324, 1192, 29383, 121, 106, 5522, 1399, 133, 2068, 1174, 1361, 15073, 3343, 1276, 1657, 1748, 1629, 191, 2157, 20552, 8442, 1152, 5485, 1171, 1290, 1287, 25272, 119, 1933, 1399, 8836, 1110, 4141, 1206, 1238, 2068, 24769, 2133, 1239, 1110, 9724, 6787, 18993, 2469, 3026, 1386, 2055, 488, 125, 128, 6459, 1144, 4111, 1576, 2133, 9429, 31032, 6061, 1163, 2483, 9717, 1386, 6001, 1297, 2133, 1239, 4149, 26939, 2295, 1449, 4732, 1203, 4353, 1110, 9456, 2305, 2133, 1602, 1151, 1189, 19228, 2580, 20009, 1238, 1192, 180, 27597, 13184, 1386, 26475, 28412, 1135, 18637, 1161, 31336, 6099, 106, 2606, 15612, 2133, 1239, 22666, 2068, 1174, 1361, 1235, 6095, 8851, 1119, 2758, 2133, 6641, 1104, 2060, 12855, 2133, 1602, 1110, 6402, 1109, 17969, 9463, 4273, 3266, 106, 153, 18038, 280, 9827, 133, 1192, 8319, 1147, 1192, 29383, 1361, 1936, 134, 1386, 1239, 1959, 1910, 1161, 1135, 6924, 23578, 2141, 18684, 2133, 1239, 2067, 16022, 1618, 1171, 1239, 1147, 4457, 1324, 1192, 29383, 121, 2133, 1239, 1959, 1110, 8466, 2388, 1161, 1110, 3386, 3594, 7971, 1107, 1446, 2068, 1174, 1361, 3018, 2000, 1110, 3853, 3594, 7971, 1201, 1147, 7969, 27974, 1163, 1135, 4792, 3018, 23980, 1192, 29383, 1361, 3386, 120, 20094, 184, 2877, 1576, 106, 106, 22081, 1162, 106, 149, 28832, 106, 155, 13739, 1449, 1306, 1569, 1153, 1462, 179, 2036, 106, 31054, 488, 124, 106, 31054, 488, 125, 106, 31054, 488, 126, 106, 31054, 488, 127, 106, 106, 145, 5762, 106, 155, 13739, 1449, 11435, 6526, 1748, 19625, 106, 31054, 488, 124, 106, 31054, 488, 125, 106, 31054, 488, 126, 106, 31054, 488, 127, 106, 106, 26722, 4672, 106, 152, 1107, 192, 1202, 9212, 1238, 1135, 11435, 6526, 1748, 3674, 4877, 106, 106, 7244, 106, 4303, 7487, 114, 8822, 119, 1410, 2708, 27419, 1204, 25465, 3276, 10406, 1192, 2716, 5778, 17123, 1285, 488, 125, 123, 123, 128, 106, 106, 152, 25465, 9578, 1147, 1643, 3562, 106, 152, 25465, 6446, 106, 152, 25465, 8226, 1449, 11435, 6526, 106, 125, 123, 123, 123, 190, 1204, 25465, 109, 32001, 488, 106, 32000, 20036, 106, 142, 2119, 1189, 1492, 280, 5811, 13010, 172, 17911, 1125, 1204, 1889, 9212, 1306, 1109, 2181, 1768, 12262, 488, 127, 3035, 1255, 1457, 106, 106, 158, 31751, 488, 106, 5164, 3031, 1318, 2768, 1189, 22669, 3791, 3725, 1318, 5038, 1887, 5650, 1189, 3594, 174, 1374, 10719, 119, 1189, 19041, 27882, 2851, 4892, 3559, 28095, 1170, 4170, 2068, 1174, 1299, 17753, 2335, 17020, 2009, 1160, 17034, 1215, 1594, 15722, 1933, 1399, 121, 2068, 1174, 1299, 9778, 244, 1256, 2368, 7197, 1562, 1659, 1125, 4759, 1107, 1189, 21152, 3791, 7165, 106, 106, 22507, 1189, 3419, 12630, 1318, 6403, 2009, 1227, 1874, 5519, 29383, 4071, 1450, 1856, 2962, 1207, 13257, 1125, 1594, 19412, 12194, 1170, 2511, 17761, 121, 6218, 15013, 120, 20094, 2010, 1450, 2435, 1110, 20349, 1189, 6534, 23176, 7230, 9678, 3295, 1469, 2399, 121, 1814, 2574, 1186, 12135, 2079, 6577, 12057, 1170, 6534, 23176, 2478, 2202, 1125, 1561, 18766, 2130, 7230, 18449, 27048, 242, 1593, 1196, 121, 1548, 6534, 23176, 1299, 1186, 9125, 1170, 21152, 4759, 244, 1215, 2068, 24769, 1192, 29383, 12459, 1125, 30267, 1300, 2068, 12361, 1440, 4170, 22705, 2231, 1124, 244, 1357, 4249, 3419, 1309, 1170, 19041, 1227, 22669, 29856, 1304, 4282, 7526, 3350, 1188, 1158, 3011, 1227, 5016, 1125, 1933, 7056, 2068, 1174, 22569, 1123, 3219, 2768, 3365, 1281, 11083, 1313, 1282, 1383, 2865, 1136, 6957, 106, 106, 30786, 12048, 2130, 1170, 17978, 1192, 29383, 16360, 13615, 1632, 1125, 2068, 1174, 1357, 2435, 2690, 1309, 3557, 1561, 1606, 10978, 4821, 106, 106, 155, 7849, 1741, 488, 106, 140, 29383, 1306, 9981, 3382, 1257, 1192, 29383, 1299, 6403, 7352, 7041, 1856, 2962, 1207, 13257, 1125, 1594, 6245, 4780, 2399, 4071, 1450, 12194, 1170, 19041, 27882, 4974, 3450, 12053, 1309, 1594, 13633, 1299, 1300, 1170, 2151, 1125, 1281, 3014, 1657, 1653, 11012, 1561, 2511, 2010, 1450, 2435, 1110, 20349, 1189, 6534, 23176, 7230, 9678, 3295, 1469, 23320, 1167, 1304, 12736, 119, 1189, 11823, 3811, 1225, 4586, 1187, 1189, 28794, 4170, 3040, 24441, 11102, 1140, 1199, 2068, 24769, 6053, 1186, 9125, 1170, 19041, 1227, 22669, 17020, 3634, 1304, 4282, 7526, 3450, 10491, 3713, 1158, 4726, 23170, 1606, 1170, 4170, 11546, 1313, 1158, 3432, 180, 2348, 1524, 1357, 1299, 1561, 1606, 1138, 2369, 1125, 21440, 4821, 6218, 15013, 15013, 120, 20094, 2010, 1450, 3031, 1158, 5038, 15493, 10148, 1591, 6744, 14772, 1731, 6220, 1300, 185, 24896, 1158, 5038, 15493, 1441, 249, 2931, 5650, 1357, 1110, 11051, 8001, 1594, 1367, 9007, 1188, 3187, 1213, 1256, 7970, 12533, 17571, 7230, 4833, 1370, 1313, 2140, 15153, 106, 3681, 1174, 1257, 2502, 18197, 1996, 1125, 5123, 1300, 1440, 29588, 1250, 4170, 2978, 242, 2114, 1188, 1910, 1170, 1844, 3365, 1299, 19041, 1227, 22669, 1304, 4282, 1213, 1167, 1309, 1594, 15722, 1110, 249, 6968, 2435, 1110, 1225, 12884, 1189, 5016, 1357, 1170, 1844, 2511, 1187, 1188, 3219, 2768, 3365, 1281, 5209, 1313, 1282, 1383, 2865, 1136, 6957, 1768, 1299, 10256, 180, 1215, 1192, 180, 27597, 1357, 1170, 9886, 2130, 19248, 1125, 1270, 2950, 7512, 26639, 1299, 4170, 119, 5123, 1357, 1170, 1844, 7008, 1186, 3074, 1657, 3350, 26639, 1299, 2511, 119, 1527, 1288, 11680, 1382, 1192, 29383, 1855, 21597, 18547, 1768, 10491, 1207, 9760, 1107, 1989, 14091, 1232, 15163, 1317, 29033, 116, 1167, 1207, 1113, 17371, 8824, 1201, 1167, 1299, 12520, 244, 21267, 5519, 29383, 121, 106, 5522, 1399, 1257, 1772, 1450, 1110, 249, 6968, 1125, 2068, 24769, 20666, 243, 2209, 2005, 180, 7658, 7445, 1286, 1250, 1167, 1111, 245, 1585, 119, 1933, 1399, 1110, 17034, 1189, 15364, 5016, 1300, 2068, 24769, 6053, 1189, 2077, 9721, 1125, 1225, 1755, 1376, 3646, 15640, 1527, 1110, 4795, 488, 125, 128, 9881, 3391, 29950, 1576, 5164, 5714, 1197, 15351, 1125, 10369, 1188, 3219, 6018, 5921, 1188, 1357, 1527, 1844, 1158, 2107, 121, 1768, 1299, 3295, 20304, 1125, 4732, 1203, 4353, 1318, 1131, 3798, 1768, 1110, 4795, 1189, 5044, 1125, 1131, 10237, 5682, 14647, 1461, 1150, 1244, 1256, 1192, 29383, 3365, 1110, 1300, 185, 24896, 1863, 1314, 1197, 7163, 1297, 106, 2606, 180, 1257, 3557, 1186, 6334, 9083, 1170, 1606, 24526, 1108, 1524, 16003, 24769, 1768, 15127, 1300, 26467, 1768, 1110, 1318, 25605, 1225, 1255, 1378, 28359, 4273, 3266, 106, 153, 18038, 280, 9827, 1257, 1189, 22705, 1125, 1158, 5971, 5519, 29383, 2040, 1527, 1844, 3247, 1856, 2399, 1227, 12033, 1197, 2873, 11968, 1457, 6053, 1282, 2991, 1132, 31852, 1125, 11638, 121, 1768, 1299, 21267, 5519, 29383, 121, 1768, 1299, 2072, 1170, 8466, 2388, 2335, 2511, 3594, 174, 1374, 9005, 3247, 1227, 2854, 16003, 1174, 1357, 11525, 1370, 1207, 3594, 1780, 2563, 5789, 1199, 2368, 7197, 1562, 1659, 1188, 12533, 1170, 2854, 1197, 18027, 28033, 10905, 4096, 120, 20094, 2010, 1450, 5519, 29383, 1576, 106, 106, 22081, 1162, 106, 106, 149, 8400, 488, 106, 155, 7146, 1215, 1271, 21927, 1306, 1569, 1153, 1462, 179, 2036, 106, 193, 5510, 488, 124, 106, 193, 5510, 488, 125, 106, 193, 5510, 488, 126, 106, 193, 5510, 488, 127, 106, 106, 145, 5762, 488, 106, 22081, 1162, 1571, 16801, 11435, 6526, 1748, 19625, 106, 193, 5510, 488, 124, 488, 106, 193, 5510, 488, 125, 488, 106, 193, 5510, 488, 126, 488, 106, 193, 5510, 488, 127, 106, 106, 151, 1354, 16718, 488, 106, 152, 1107, 192, 1202, 9212, 1300, 1170, 1865, 1125, 1282, 21927, 11435, 6526, 1748, 3674, 106, 106, 7244, 488, 106, 3272, 1927, 1533, 1304, 5163, 1285, 1548, 7118, 2708, 1538, 1757, 1227, 1204, 1475, 1810, 1192, 2716, 5778, 2605, 1974, 1285, 488, 125, 123, 123, 128, 106, 106, 152, 25465, 23332, 1313, 1170, 1643, 3562, 106, 158, 2974, 13010, 172, 106, 152, 25465, 9053, 1215, 11435, 6526, 106, 152, 25465, 1197, 4092, 488, 125, 123, 123, 123, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 2119, 1189, 1492, 280, 5811, 13010, 172, 17911, 1125, 1204, 1889, 9212, 1306, 1109, 2181, 1768, 12262, 488, 127, 3035, 1255, 1457, 106, 106, 158, 31751, 488, 106, 5164, 3031, 1318, 2768, 1189, 22669, 3791, 3725, 1318, 5038, 1887, 5650, 1189, 3594, 174, 1374, 10719, 119, 1189, 19041, 27882, 2851, 4892, 3559, 28095, 1170, 4170, 2068, 1174, 1299, 17753, 2335, 17020, 2009, 1160, 17034, 1215, 1594, 15722, 1933, 1399, 121, 2068, 1174, 1299, 9778, 244, 1256, 2368, 7197, 1562, 1659, 1125, 4759, 1107, 1189, 21152, 3791, 7165, 106, 106, 22507, 1189, 3419, 12630, 1318, 6403, 2009, 1227, 1874, 5519, 29383, 4071, 1450, 1856, 2962, 1207, 13257, 1125, 1594, 19412, 12194, 1170, 2511, 17761, 121, 6218, 15013, 120, 20094, 2010, 1450, 2435, 1110, 20349, 1189, 6534, 23176, 7230, 9678, 3295, 1469, 2399, 121, 1814, 2574, 1186, 12135, 2079, 6577, 12057, 1170, 6534, 23176, 2478, 2202, 1125, 1561, 18766, 2130, 7230, 18449, 27048, 242, 1593, 1196, 121, 1548, 6534, 23176, 1299, 1186, 9125, 1170, 21152, 4759, 244, 1215, 2068, 24769, 1192, 29383, 12459, 1125, 30267, 1300, 2068, 12361, 1440, 4170, 22705, 2231, 1124, 244, 1357, 4249, 3419, 1309, 1170, 19041, 1227, 22669, 29856, 1304, 4282, 7526, 3350, 1188, 1158, 3011, 1227, 5016, 1125, 1933, 7056, 2068, 1174, 22569, 1123, 3219, 2768, 3365, 1281, 11083, 1313, 1282, 1383, 2865, 1136, 6957, 106, 106, 30786, 12048, 2130, 1170, 17978, 1192, 29383, 16360, 13615, 1632, 1125, 2068, 1174, 1357, 2435, 2690, 1309, 3557, 1561, 1606, 10978, 4821, 106, 106, 155, 7849, 1741, 488, 106, 140, 29383, 1306, 9981, 3382, 1257, 1192, 29383, 1299, 6403, 7352, 7041, 1856, 2962, 1207, 13257, 1125, 1594, 6245, 4780, 2399, 4071, 1450, 12194, 1170, 19041, 27882, 4974, 3450, 12053, 1309, 1594, 13633, 1299, 1300, 1170, 2151, 1125, 1281, 3014, 1657, 1653, 11012, 1561, 2511, 2010, 1450, 2435, 1110, 20349, 1189, 6534, 23176, 7230, 9678, 3295, 1469, 23320, 1167, 1304, 12736, 119, 1189, 11823, 3811, 1225, 4586, 1187, 1189, 28794, 4170, 3040, 24441, 11102, 1140, 1199, 2068, 24769, 6053, 1186, 9125, 1170, 19041, 1227, 22669, 17020, 3634, 1304, 4282, 7526, 3450, 10491, 3713, 1158, 4726, 23170, 1606, 1170, 4170, 11546, 1313, 1158, 3432, 180, 2348, 1524, 1357, 1299, 1561, 1606, 1138, 2369, 1125, 21440, 4821, 6218, 15013, 15013, 120, 20094, 2010, 1450, 3031, 1158, 5038, 15493, 10148, 1591, 6744, 14772, 1731, 6220, 1300, 185, 24896, 1158, 5038, 15493, 1441, 249, 2931, 5650, 1357, 1110, 11051, 8001, 1594, 1367, 9007, 1188, 3187, 1213, 1256, 7970, 12533, 17571, 7230, 4833, 1370, 1313, 2140, 15153, 106, 3681, 1174, 1257, 2502, 18197, 1996, 1125, 5123, 1300, 1440, 29588, 1250, 4170, 2978, 242, 2114, 1188, 1910, 1170, 1844, 3365, 1299, 19041, 1227, 22669, 1304, 4282, 1213, 1167, 1309, 1594, 15722, 1110, 249, 6968, 2435, 1110, 1225, 12884, 1189, 5016, 1357, 1170, 1844, 2511, 1187, 1188, 3219, 2768, 3365, 1281, 5209, 1313, 1282, 1383, 2865, 1136, 6957, 1768, 1299, 10256, 180, 1215, 1192, 180, 27597, 1357, 1170, 9886, 2130, 19248, 1125, 1270, 2950, 7512, 26639, 1299, 4170, 119, 5123, 1357, 1170, 1844, 7008, 1186, 3074, 1657, 3350, 26639, 1299, 2511, 119, 1527, 1288, 11680, 1382, 1192, 29383, 1855, 21597, 18547, 1768, 10491, 1207, 9760, 1107, 1989, 14091, 1232, 15163, 1317, 29033, 116, 1167, 1207, 1113, 17371, 8824, 1201, 1167, 1299, 12520, 244, 21267, 5519, 29383, 121, 106, 5522, 1399, 1257, 1772, 1450, 1110, 249, 6968, 1125, 2068, 24769, 20666, 243, 2209, 2005, 180, 7658, 7445, 1286, 1250, 1167, 1111, 245, 1585, 119, 1933, 1399, 1110, 17034, 1189, 15364, 5016, 1300, 2068, 24769, 6053, 1189, 2077, 9721, 1125, 1225, 1755, 1376, 3646, 15640, 1527, 1110, 4795, 488, 125, 128, 9881, 3391, 29950, 1576, 5164, 5714, 1197, 15351, 1125, 10369, 1188, 3219, 6018, 5921, 1188, 1357, 1527, 1844, 1158, 2107, 121, 1768, 1299, 3295, 20304, 1125, 4732, 1203, 4353, 1318, 1131, 3798, 1768, 1110, 4795, 1189, 5044, 1125, 1131, 10237, 5682, 14647, 1461, 1150, 1244, 1256, 1192, 29383, 3365, 1110, 1300, 185, 24896, 1863, 1314, 1197, 7163, 1297, 106, 2606, 180, 1257, 3557, 1186, 6334, 9083, 1170, 1606, 24526, 1108, 1524, 16003, 24769, 1768, 15127, 1300, 26467, 1768, 1110, 1318, 25605, 1225, 1255, 1378, 28359, 4273, 3266, 106, 153, 18038, 280, 9827, 1257, 1189, 22705, 1125, 1158, 5971, 5519, 29383, 2040, 1527, 1844, 3247, 1856, 2399, 1227, 12033, 1197, 2873, 11968, 1457, 6053, 1282, 2991, 1132, 31852, 1125, 11638, 121, 1768, 1299, 21267, 5519, 29383, 121, 1768, 1299, 2072, 1170, 8466, 2388, 2335, 2511, 3594, 174, 1374, 9005, 3247, 1227, 2854, 16003, 1174, 1357, 11525, 1370, 1207, 3594, 1780, 2563, 5789, 1199, 2368, 7197, 1562, 1659, 1188, 12533, 1170, 2854, 1197, 18027, 28033, 10905, 4096, 120, 20094, 2010, 1450, 5519, 29383, 1576, 106, 106, 22081, 1162, 106, 106, 149, 8400, 488, 106, 155, 7146, 1215, 1271, 21927, 1306, 1569, 1153, 1462, 179, 2036, 106, 193, 5510, 488, 124, 106, 193, 5510, 488, 125, 106, 193, 5510, 488, 126, 106, 193, 5510, 488, 127, 106, 106, 145, 5762, 488, 106, 22081, 1162, 1571, 16801, 11435, 6526, 1748, 19625, 106, 193, 5510, 488, 124, 488, 106, 193, 5510, 488, 125, 488, 106, 193, 5510, 488, 126, 488, 106, 193, 5510, 488, 127, 106, 106, 151, 1354, 16718, 488, 106, 152, 1107, 192, 1202, 9212, 1300, 1170, 1865, 1125, 1282, 21927, 11435, 6526, 1748, 3674, 106, 106, 7244, 488, 106, 3272, 1927, 1533, 1304, 5163, 1285, 1548, 7118, 2708, 1538, 1757, 1227, 1204, 1475, 1810, 1192, 2716, 5778, 2605, 1974, 1285, 488, 125, 123, 123, 128, 106, 106, 152, 25465, 23332, 1313, 1170, 1643, 3562, 106, 158, 2974, 13010, 172, 106, 152, 25465, 9053, 1215, 11435, 6526, 106, 152, 25465, 1197, 4092, 488, 125, 123, 123, 123, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 4909, 23840, 1222, 14108, 6047, 142, 160, 116, 1239, 1110, 7468, 7339, 1147, 1135, 21327, 9629, 1161, 1135, 23840, 5772, 1147, 488, 125, 123, 124, 128, 121, 1410, 7339, 17203, 2026, 1226, 2539, 5254, 4472, 1237, 2451, 2305, 106, 106, 24436, 106, 4515, 1463, 5772, 1238, 6674, 488, 124, 132, 119, 488, 125, 123, 124, 128, 1147, 1135, 21327, 9629, 1161, 1135, 7114, 2086, 1110, 7468, 7339, 4494, 4909, 23840, 30382, 8616, 15321, 160, 1226, 4912, 119, 15017, 1449, 12984, 1474, 14545, 10249, 488, 130, 125, 122, 125, 123, 124, 129, 1161, 7357, 488, 127, 119, 488, 125, 123, 124, 129, 121, 1410, 7339, 1463, 20883, 2670, 1135, 2257, 1176, 3582, 1161, 1198, 2393, 1195, 25465, 1198, 10505, 10990, 1352, 9071, 196, 1965, 1110, 7468, 8017, 1171, 3434, 10465, 7455, 1110, 4669, 13614, 1121, 1163, 6654, 1252, 3567, 195, 1198, 2393, 1439, 182, 1156, 3266, 1410, 3228, 27328, 1201, 1161, 1135, 15321, 160, 1239, 8452, 1147, 1135, 8448, 2588, 3926, 1406, 1161, 1518, 1554, 8393, 1810, 1135, 5564, 1161, 1135, 20416, 1988, 1239, 8452, 1238, 1254, 20694, 19522, 10249, 1192, 488, 129, 122, 130, 119, 1671, 14201, 3441, 1506, 18959, 119, 22480, 1174, 192, 4813, 121, 1410, 7339, 1239, 11219, 8568, 1135, 3781, 29837, 6047, 11101, 1576, 106, 106, 148, 1634, 3755, 1845, 1239, 1814, 1406, 1323, 7010, 1323, 11496, 3258, 121, 106, 106, 148, 1634, 1151, 2653, 184, 1239, 1410, 4909, 7114, 2181, 106, 106, 148, 1634, 1114, 2485, 1119, 1239, 4909, 7114, 2086, 6429, 1510, 23840, 108, 4909, 7114, 2086, 9782, 2420, 23840, 108, 4909, 7114, 2086, 1951, 190, 1403, 1212, 23840, 108, 4909, 7114, 2086, 1254, 1707, 6070, 23840, 108, 6429, 1510, 7114, 2086, 9782, 2420, 7114, 2086, 1951, 190, 1403, 1212, 7114, 2086, 1254, 1707, 6070, 23840, 108, 106, 106, 148, 1634, 9020, 11395, 1161, 1110, 10888, 8754, 1324, 7502, 15321, 160, 8024, 1355, 1135, 2630, 1659, 1464, 2589, 1156, 1324, 1110, 20556, 4300, 7509, 1135, 9149, 9207, 106, 106, 148, 1208, 4529, 106, 1598, 15321, 160, 11798, 1171, 1683, 3024, 2539, 5254, 4472, 1237, 2451, 1762, 15755, 1324, 2019, 18911, 1163, 9283, 1135, 9723, 1525, 1161, 23814, 5663, 4236, 1407, 2726, 23837, 1171, 8947, 26999, 1410, 2539, 5254, 4472, 22243, 17203, 1589, 1449, 1135, 15321, 160, 1239, 1110, 7468, 2935, 1147, 1758, 4472, 22243, 1171, 7399, 13228, 27964, 2483, 2017, 1163, 9472, 1135, 3172, 5429, 7399, 3088, 1171, 1721, 7399, 3088, 1161, 2483, 1116, 10893, 4414, 106, 106, 158, 1642, 3768, 9719, 106, 1598, 2129, 24595, 3580, 1161, 1135, 4909, 23840, 1222, 14108, 8231, 1135, 2539, 5254, 4472, 22243, 1296, 17203, 1589, 1449, 1135, 12205, 121, 1410, 15321, 160, 1959, 1497, 1953, 1163, 2969, 1190, 9513, 1110, 3619, 5290, 1762, 5481, 2626, 1285, 6013, 2113, 15144, 119, 15144, 1163, 21699, 2187, 119, 13785, 7108, 1161, 3781, 17423, 5831, 11076, 1163, 1543, 7114, 1172, 1983, 15337, 1171, 1543, 2943, 7168, 106, 106, 2744, 3148, 5049, 106, 1598, 1222, 14236, 160, 9089, 190, 1163, 1189, 1286, 1135, 7114, 1172, 1983, 1226, 1135, 1189, 1406, 1161, 1135, 12887, 3575, 1135, 4551, 1458, 8234, 1149, 1135, 23814, 5663, 4236, 1407, 2726, 23837, 1171, 8947, 2067, 13769, 1144, 186, 1549, 2488, 2019, 5517, 19067, 1449, 2533, 23334, 1146, 11758, 178, 11602, 106, 106, 4515, 1959, 23397, 1163, 9792, 21627, 1171, 7295, 27474, 9085, 1449, 13468, 12735, 2064, 1147, 1135, 13995, 119, 1135, 6847, 1161, 4185, 1355, 1135, 3781, 119, 25784, 1474, 119, 1171, 3447, 3772, 1285, 1683, 7534, 1135, 4472, 14106, 5080, 1161, 1135, 5011, 119, 26382, 1135, 3586, 1171, 12804, 1161, 8573, 2563, 22764, 1149, 1135, 8366, 1403, 1406, 1161, 1110, 6805, 2129, 23631, 106, 106, 4515, 9089, 190, 1163, 1186, 2393, 13873, 1147, 1135, 13995, 1161, 1135, 21327, 9629, 1161, 23840, 1135, 1147, 21733, 1364, 1171, 1946, 1312, 24274, 15117, 2626, 1171, 23202, 1161, 1543, 7114, 1172, 1983, 15337, 1163, 30257, 1789, 31139, 1171, 1135, 15437, 1161, 1135, 5011, 1163, 22764, 5081, 106, 106, 4515, 3112, 1741, 12205, 11843, 1171, 2625, 4045, 1147, 8758, 1163, 2447, 2075, 1135, 3259, 1721, 8573, 2563, 5771, 1789, 14382, 5601, 1285, 12351, 1135, 18167, 1830, 1161, 1135, 5011, 119, 1171, 9987, 1135, 25437, 1161, 1135, 13911, 1147, 1758, 1799, 5368, 121, 106, 106, 4515, 6888, 1226, 1135, 4697, 3049, 4676, 1161, 21500, 1713, 9107, 1110, 4909, 1171, 1855, 1289, 12051, 1266, 2071, 1946, 9121, 1135, 8288, 4676, 1161, 7432, 8568, 1135, 3781, 29837, 1163, 1280, 12097, 25718, 1163, 1543, 24942, 1285, 29165, 3252, 3258, 1161, 8893, 1226, 1543, 1163, 12735, 1110, 13526, 8238, 1161, 3876, 5011, 1226, 1135, 10717, 1161, 1135, 1540, 26887, 1442, 16817, 106, 106, 13606, 1216, 1314, 106, 1598, 31203, 1161, 1135, 15321, 160, 1239, 1135, 4457, 1161, 1870, 1147, 1189, 1406, 1171, 3252, 3258, 1226, 1110, 15641, 5271, 1161, 1135, 1266, 2392, 32001, 488, 106, 32000, 20036, 106, 2606, 30382, 1460, 23840, 1189, 180, 6047, 142, 160, 116, 1299, 1189, 1921, 3657, 1125, 1158, 7732, 23645, 1227, 23840, 9601, 1186, 488, 125, 123, 124, 128, 121, 1548, 1921, 1268, 9007, 1158, 2539, 11038, 2065, 2035, 6358, 1117, 2596, 106, 106, 147, 15376, 106, 5164, 1299, 9601, 1186, 3110, 1227, 488, 124, 132, 3012, 488, 125, 123, 124, 128, 119, 1186, 7732, 20947, 6358, 1960, 1227, 7114, 2086, 1189, 1921, 3657, 7576, 23726, 30382, 1460, 23840, 1189, 2433, 1222, 14236, 160, 1186, 19664, 3476, 14577, 1215, 1271, 20982, 5791, 3870, 1267, 15180, 1579, 488, 130, 125, 122, 125, 123, 124, 129, 1227, 488, 127, 2822, 488, 125, 123, 124, 129, 121, 15211, 3748, 2290, 1158, 7968, 3824, 1125, 1198, 2393, 1195, 25465, 1198, 10505, 10990, 1352, 9071, 196, 1965, 21272, 3657, 1167, 5598, 12863, 5291, 11041, 11538, 4309, 1227, 4637, 1252, 3567, 195, 1198, 2393, 1439, 182, 1156, 3266, 1548, 9209, 1125, 1158, 15321, 160, 1299, 13342, 1313, 1158, 8085, 120, 7604, 2588, 1125, 1518, 1554, 8393, 1810, 17128, 1227, 19105, 1768, 1281, 5209, 1114, 1439, 22703, 1254, 20694, 3546, 140, 488, 129, 122, 130, 119, 2722, 1124, 4688, 1671, 14201, 3441, 1506, 119, 2772, 1515, 1125, 22480, 1174, 7258, 1548, 1921, 1299, 4771, 3634, 1300, 2797, 1271, 1129, 18742, 1227, 7019, 3781, 6700, 10178, 1576, 106, 106, 158, 172, 1971, 1439, 1299, 1814, 1348, 1703, 23387, 1323, 2605, 178, 1902, 121, 106, 106, 158, 1105, 1166, 3291, 1245, 1299, 1548, 23840, 1189, 3266, 106, 106, 158, 1105, 1114, 2485, 1119, 1299, 23840, 1189, 2433, 23840, 11410, 1590, 23840, 1189, 2433, 23840, 18931, 4658, 1590, 23840, 1189, 2433, 23840, 1951, 2145, 1450, 1590, 23840, 1189, 2433, 23840, 2605, 8262, 1129, 1590, 23840, 1226, 3378, 23840, 11348, 2851, 23840, 1223, 2145, 6909, 23840, 1253, 8262, 1129, 1590, 488, 106, 106, 158, 1105, 28127, 1334, 1299, 20723, 2335, 3080, 16940, 1469, 1197, 28202, 15321, 160, 1186, 7207, 1317, 4779, 119, 1329, 6968, 2254, 13471, 1399, 18699, 1188, 15416, 1125, 1158, 8710, 9207, 106, 106, 2219, 244, 4058, 106, 3562, 15321, 160, 21635, 1167, 31118, 1158, 2539, 11038, 10351, 29325, 11305, 1303, 1188, 1561, 12698, 1125, 15382, 1207, 14946, 1197, 9585, 23814, 189, 2137, 16191, 5899, 12078, 1167, 4199, 10772, 1643, 2539, 11038, 2065, 2035, 6358, 4094, 1268, 255, 11980, 1215, 1158, 15321, 160, 10845, 1189, 4367, 3657, 1313, 6640, 1158, 21340, 1167, 1170, 31354, 10224, 1281, 10394, 24188, 1313, 1170, 1663, 1125, 11499, 1207, 18873, 24960, 29489, 1167, 1207, 18873, 13060, 1125, 3219, 9148, 4414, 106, 106, 2101, 1843, 1125, 7676, 106, 2606, 2929, 1125, 3385, 1125, 1158, 17939, 23840, 1189, 180, 4106, 1314, 1125, 4418, 28390, 1158, 2539, 11038, 2065, 2035, 6358, 4094, 9175, 1309, 1268, 255, 11980, 1215, 1170, 15211, 121, 1643, 15321, 160, 24345, 1186, 12853, 1188, 21169, 1257, 1318, 23445, 1125, 26496, 1170, 3090, 1125, 9855, 119, 1158, 9110, 6013, 30800, 1158, 9110, 10524, 25292, 119, 1158, 4351, 1821, 2189, 1849, 1197, 7442, 11393, 21170, 4268, 2097, 1188, 2183, 1207, 16891, 7668, 1172, 1298, 1167, 1188, 2962, 1207, 13964, 1297, 106, 106, 2744, 30695, 106, 3562, 1222, 14236, 160, 6072, 3747, 1188, 13579, 16351, 1207, 7114, 1172, 1298, 1256, 6303, 1348, 1125, 1158, 12887, 6365, 1197, 9585, 4407, 1199, 1170, 11639, 23814, 5663, 3908, 11216, 3056, 1167, 7568, 8572, 244, 1188, 4759, 1594, 7635, 1253, 1724, 1292, 1303, 1197, 30013, 6792, 1883, 1166, 16253, 12041, 106, 106, 15539, 7353, 2445, 21249, 1207, 11747, 1167, 21057, 20534, 1158, 9085, 1227, 11594, 1186, 7893, 1199, 24573, 2121, 1313, 1158, 13995, 119, 1158, 17817, 1227, 3937, 1317, 4041, 3781, 119, 25784, 1474, 1167, 2032, 2726, 3805, 4658, 1170, 7088, 23645, 1125, 12052, 19354, 24311, 1199, 1170, 4576, 1109, 1167, 1170, 2714, 8167, 4266, 1197, 3937, 1285, 7115, 1199, 1158, 1223, 2145, 19935, 2254, 3385, 10015, 121, 106, 106, 15539, 6072, 1188, 5230, 189, 1659, 1188, 21772, 1313, 1158, 13995, 1125, 1158, 7732, 20947, 6358, 1960, 1227, 23840, 1170, 3090, 1167, 1170, 15866, 1147, 9202, 1538, 1364, 1167, 1946, 1312, 24274, 15117, 1125, 2183, 16891, 7668, 1172, 1298, 1188, 18638, 1158, 1191, 8622, 1125, 1594, 15892, 1167, 1271, 18046, 1125, 15263, 1125, 1170, 4778, 3435, 106, 106, 15539, 8987, 1207, 19301, 1167, 5846, 1701, 1227, 15211, 1571, 8758, 14226, 1188, 19422, 1197, 5542, 17296, 31386, 1188, 1158, 3591, 1186, 6885, 1125, 2770, 12632, 5133, 20688, 1188, 1158, 28943, 1125, 1158, 4438, 1125, 15263, 5789, 1277, 1167, 1188, 13969, 31834, 1197, 26002, 1125, 1158, 3385, 2585, 3342, 7184, 4364, 106, 106, 15539, 6885, 1256, 1158, 29590, 2035, 14736, 1197, 9585, 6563, 1565, 20585, 2254, 12887, 1814, 1214, 1167, 1855, 1289, 12051, 119, 19281, 1199, 1158, 8288, 4979, 1125, 1158, 17938, 1300, 2797, 20670, 18742, 1227, 7019, 3781, 5551, 9465, 15265, 1125, 1158, 2076, 4418, 1188, 2183, 1207, 9148, 12581, 2231, 1541, 1167, 21169, 13058, 1902, 1125, 6841, 1256, 2183, 3143, 1283, 3173, 2733, 1107, 1189, 22275, 9123, 1160, 1125, 3090, 1317, 8612, 1227, 24157, 11594, 121, 106, 106, 13606, 1216, 1314, 106, 3562, 31203, 1125, 1158, 15321, 160, 1299, 20602, 1227, 2498, 1313, 6303, 1348, 1167, 13058, 1902, 1256, 1189, 23351, 20762, 2636, 1125, 1158, 12887, 106, 106, 20634, 1167, 5474, 106, 106, 10026, 11052, 106, 146, 1958, 2500, 1768, 3513, 172, 106, 106, 8036, 2072, 106, 27566, 9229, 106, 106, 2951, 1117, 3657, 1186, 4104, 6424, 23645, 1227, 23840, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 30382, 1460, 23840, 1189, 180, 6047, 142, 160, 116, 1299, 1189, 1921, 3657, 1125, 1158, 7732, 23645, 1227, 23840, 9601, 1186, 488, 125, 123, 124, 128, 121, 1548, 1921, 1268, 9007, 1158, 2539, 11038, 2065, 2035, 6358, 1117, 2596, 106, 106, 147, 15376, 106, 5164, 1299, 9601, 1186, 3110, 1227, 488, 124, 132, 3012, 488, 125, 123, 124, 128, 119, 1186, 7732, 20947, 6358, 1960, 1227, 7114, 2086, 1189, 1921, 3657, 7576, 23726, 30382, 1460, 23840, 1189, 2433, 1222, 14236, 160, 1186, 19664, 3476, 14577, 1215, 1271, 20982, 5791, 3870, 1267, 15180, 1579, 488, 130, 125, 122, 125, 123, 124, 129, 1227, 488, 127, 2822, 488, 125, 123, 124, 129, 121, 15211, 3748, 2290, 1158, 7968, 3824, 1125, 1198, 2393, 1195, 25465, 1198, 10505, 10990, 1352, 9071, 196, 1965, 21272, 3657, 1167, 5598, 12863, 5291, 11041, 11538, 4309, 1227, 4637, 1252, 3567, 195, 1198, 2393, 1439, 182, 1156, 3266, 1548, 9209, 1125, 1158, 15321, 160, 1299, 13342, 1313, 1158, 8085, 120, 7604, 2588, 1125, 1518, 1554, 8393, 1810, 17128, 1227, 19105, 1768, 1281, 5209, 1114, 1439, 22703, 1254, 20694, 3546, 140, 488, 129, 122, 130, 119, 2722, 1124, 4688, 1671, 14201, 3441, 1506, 119, 2772, 1515, 1125, 22480, 1174, 7258, 1548, 1921, 1299, 4771, 3634, 1300, 2797, 1271, 1129, 18742, 1227, 7019, 3781, 6700, 10178, 1576, 106, 106, 158, 172, 1971, 1439, 1299, 1814, 1348, 1703, 23387, 1323, 2605, 178, 1902, 121, 106, 106, 158, 1105, 1166, 3291, 1245, 1299, 1548, 23840, 1189, 3266, 106, 106, 158, 1105, 1114, 2485, 1119, 1299, 23840, 1189, 2433, 23840, 11410, 1590, 23840, 1189, 2433, 23840, 18931, 4658, 1590, 23840, 1189, 2433, 23840, 1951, 2145, 1450, 1590, 23840, 1189, 2433, 23840, 2605, 8262, 1129, 1590, 23840, 1226, 3378, 23840, 11348, 2851, 23840, 1223, 2145, 6909, 23840, 1253, 8262, 1129, 1590, 488, 106, 106, 158, 1105, 28127, 1334, 1299, 20723, 2335, 3080, 16940, 1469, 1197, 28202, 15321, 160, 1186, 7207, 1317, 4779, 119, 1329, 6968, 2254, 13471, 1399, 18699, 1188, 15416, 1125, 1158, 8710, 9207, 106, 106, 2219, 244, 4058, 106, 3562, 15321, 160, 21635, 1167, 31118, 1158, 2539, 11038, 10351, 29325, 11305, 1303, 1188, 1561, 12698, 1125, 15382, 1207, 14946, 1197, 9585, 23814, 189, 2137, 16191, 5899, 12078, 1167, 4199, 10772, 1643, 2539, 11038, 2065, 2035, 6358, 4094, 1268, 255, 11980, 1215, 1158, 15321, 160, 10845, 1189, 4367, 3657, 1313, 6640, 1158, 21340, 1167, 1170, 31354, 10224, 1281, 10394, 24188, 1313, 1170, 1663, 1125, 11499, 1207, 18873, 24960, 29489, 1167, 1207, 18873, 13060, 1125, 3219, 9148, 4414, 106, 106, 2101, 1843, 1125, 7676, 106, 2606, 2929, 1125, 3385, 1125, 1158, 17939, 23840, 1189, 180, 4106, 1314, 1125, 4418, 28390, 1158, 2539, 11038, 2065, 2035, 6358, 4094, 9175, 1309, 1268, 255, 11980, 1215, 1170, 15211, 121, 1643, 15321, 160, 24345, 1186, 12853, 1188, 21169, 1257, 1318, 23445, 1125, 26496, 1170, 3090, 1125, 9855, 119, 1158, 9110, 6013, 30800, 1158, 9110, 10524, 25292, 119, 1158, 4351, 1821, 2189, 1849, 1197, 7442, 11393, 21170, 4268, 2097, 1188, 2183, 1207, 16891, 7668, 1172, 1298, 1167, 1188, 2962, 1207, 13964, 1297, 106, 106, 2744, 30695, 106, 3562, 1222, 14236, 160, 6072, 3747, 1188, 13579, 16351, 1207, 7114, 1172, 1298, 1256, 6303, 1348, 1125, 1158, 12887, 6365, 1197, 9585, 4407, 1199, 1170, 11639, 23814, 5663, 3908, 11216, 3056, 1167, 7568, 8572, 244, 1188, 4759, 1594, 7635, 1253, 1724, 1292, 1303, 1197, 30013, 6792, 1883, 1166, 16253, 12041, 106, 106, 15539, 7353, 2445, 21249, 1207, 11747, 1167, 21057, 20534, 1158, 9085, 1227, 11594, 1186, 7893, 1199, 24573, 2121, 1313, 1158, 13995, 119, 1158, 17817, 1227, 3937, 1317, 4041, 3781, 119, 25784, 1474, 1167, 2032, 2726, 3805, 4658, 1170, 7088, 23645, 1125, 12052, 19354, 24311, 1199, 1170, 4576, 1109, 1167, 1170, 2714, 8167, 4266, 1197, 3937, 1285, 7115, 1199, 1158, 1223, 2145, 19935, 2254, 3385, 10015, 121, 106, 106, 15539, 6072, 1188, 5230, 189, 1659, 1188, 21772, 1313, 1158, 13995, 1125, 1158, 7732, 20947, 6358, 1960, 1227, 23840, 1170, 3090, 1167, 1170, 15866, 1147, 9202, 1538, 1364, 1167, 1946, 1312, 24274, 15117, 1125, 2183, 16891, 7668, 1172, 1298, 1188, 18638, 1158, 1191, 8622, 1125, 1594, 15892, 1167, 1271, 18046, 1125, 15263, 1125, 1170, 4778, 3435, 106, 106, 15539, 8987, 1207, 19301, 1167, 5846, 1701, 1227, 15211, 1571, 8758, 14226, 1188, 19422, 1197, 5542, 17296, 31386, 1188, 1158, 3591, 1186, 6885, 1125, 2770, 12632, 5133, 20688, 1188, 1158, 28943, 1125, 1158, 4438, 1125, 15263, 5789, 1277, 1167, 1188, 13969, 31834, 1197, 26002, 1125, 1158, 3385, 2585, 3342, 7184, 4364, 106, 106, 15539, 6885, 1256, 1158, 29590, 2035, 14736, 1197, 9585, 6563, 1565, 20585, 2254, 12887, 1814, 1214, 1167, 1855, 1289, 12051, 119, 19281, 1199, 1158, 8288, 4979, 1125, 1158, 17938, 1300, 2797, 20670, 18742, 1227, 7019, 3781, 5551, 9465, 15265, 1125, 1158, 2076, 4418, 1188, 2183, 1207, 9148, 12581, 2231, 1541, 1167, 21169, 13058, 1902, 1125, 6841, 1256, 2183, 3143, 1283, 3173, 2733, 1107, 1189, 22275, 9123, 1160, 1125, 3090, 1317, 8612, 1227, 24157, 11594, 121, 106, 106, 13606, 1216, 1314, 106, 3562, 31203, 1125, 1158, 15321, 160, 1299, 20602, 1227, 2498, 1313, 6303, 1348, 1167, 13058, 1902, 1256, 1189, 23351, 20762, 2636, 1125, 1158, 12887, 106, 106, 20634, 1167, 5474, 106, 106, 10026, 11052, 106, 146, 1958, 2500, 1768, 3513, 172, 106, 106, 8036, 2072, 106, 27566, 9229, 106, 106, 2951, 1117, 3657, 1186, 4104, 6424, 23645, 1227, 23840, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 155, 3030, 1325, 1121, 1112, 1669, 6256, 2589, 6678, 488, 124, 131, 119, 488, 124, 132, 130, 130, 119, 1147, 19099, 2462, 1414, 1285, 5947, 12910, 116, 1239, 1110, 14742, 14791, 19219, 2489, 1657, 106, 106, 2003, 22218, 106, 3952, 1135, 4934, 1972, 1161, 1135, 1522, 1829, 6221, 5422, 2795, 30546, 19219, 5770, 22075, 106, 106, 199, 488, 124, 132, 132, 127, 120, 132, 128, 2848, 1306, 1770, 14143, 2097, 2848, 1787, 152, 149, 19131, 2848, 488, 128, 129, 2848, 488, 124, 2848, 488, 131, 2848, 488, 132, 2848, 488, 125, 127, 126, 2848, 488, 125, 124, 2848, 488, 123, 2848, 488, 124, 2848, 488, 124, 2848, 488, 132, 124, 106, 199, 120, 106, 199, 488, 124, 132, 132, 128, 120, 132, 129, 2848, 1306, 1770, 14143, 2097, 2848, 1787, 152, 149, 19131, 2848, 488, 129, 126, 2848, 488, 125, 126, 2848, 488, 126, 129, 2848, 488, 128, 132, 2848, 488, 127, 129, 127, 2848, 488, 124, 131, 2848, 488, 124, 124, 2848, 488, 131, 2848, 488, 124, 132, 2848, 488, 131, 124, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 129, 120, 132, 130, 2848, 1306, 1770, 14143, 2097, 2848, 1787, 152, 149, 19131, 2848, 488, 129, 125, 2848, 488, 124, 131, 2848, 488, 127, 128, 2848, 488, 129, 126, 2848, 488, 127, 132, 128, 2848, 488, 124, 127, 2848, 488, 126, 2848, 488, 124, 126, 2848, 488, 124, 129, 2848, 488, 131, 126, 106, 199, 120, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 2848, 2482, 1306, 16057, 3032, 1573, 2848, 1192, 19131, 2848, 488, 128, 123, 2848, 488, 124, 128, 2848, 488, 124, 125, 2848, 488, 125, 130, 2848, 488, 126, 123, 132, 2848, 488, 124, 2848, 488, 123, 2848, 488, 124, 2848, 488, 124, 2848, 488, 129, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 2848, 16326, 1202, 12957, 1201, 2848, 1266, 19131, 2848, 488, 124, 132, 2848, 488, 123, 2848, 488, 123, 2848, 488, 123, 2848, 488, 124, 128, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 2848, 16326, 1202, 12957, 1201, 2848, 1266, 19131, 2848, 488, 129, 125, 2848, 488, 127, 2848, 488, 128, 2848, 488, 132, 2848, 488, 125, 128, 131, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 2848, 2482, 1306, 16057, 3032, 1573, 2848, 1192, 19131, 2848, 488, 124, 123, 2848, 488, 126, 2848, 488, 124, 2848, 488, 127, 2848, 488, 129, 128, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 2848, 16326, 1202, 12957, 1201, 2848, 1266, 19131, 2848, 488, 127, 131, 2848, 488, 126, 2848, 488, 129, 2848, 488, 132, 2848, 488, 124, 129, 132, 2848, 488, 127, 2848, 488, 124, 2848, 488, 123, 2848, 488, 124, 2848, 488, 131, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 2848, 16326, 1202, 12957, 1201, 2848, 1266, 19131, 2848, 488, 130, 124, 2848, 488, 126, 2848, 488, 130, 2848, 488, 124, 123, 2848, 488, 125, 127, 131, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 199, 120, 106, 199, 488, 125, 123, 123, 124, 120, 125, 123, 123, 125, 2848, 16326, 1202, 12957, 1201, 2848, 1266, 19131, 2848, 488, 130, 132, 2848, 488, 127, 2848, 488, 128, 2848, 488, 132, 2848, 488, 126, 128, 127, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 125, 120, 125, 123, 123, 126, 2848, 16326, 1202, 12957, 1201, 2848, 1266, 19131, 2848, 488, 129, 126, 2848, 488, 125, 2848, 488, 126, 2848, 488, 128, 2848, 488, 124, 132, 126, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 199, 120, 106, 199, 488, 125, 123, 123, 126, 120, 125, 123, 123, 127, 2848, 24780, 1192, 1613, 3383, 2848, 1266, 19131, 2848, 488, 127, 132, 2848, 488, 126, 2848, 488, 124, 2848, 488, 127, 2848, 488, 124, 130, 132, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 2848, 26518, 9633, 1201, 2848, 1254, 3246, 151, 2848, 488, 126, 130, 2848, 488, 130, 2848, 488, 131, 2848, 488, 124, 128, 2848, 488, 124, 126, 132, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 2848, 1323, 106, 106, 199, 488, 126, 132, 124, 2848, 488, 124, 132, 2848, 488, 125, 130, 2848, 488, 127, 129, 2848, 488, 125, 126, 124, 131, 2848, 488, 127, 2848, 488, 124, 2848, 488, 123, 2848, 488, 124, 2848, 488, 131, 106, 106, 1891, 9520, 106, 106, 141, 2589, 1147, 6678, 488, 124, 132, 130, 130, 106, 141, 2589, 1147, 4304, 18641, 106, 2439, 178, 1728, 120, 9435, 12910, 1517, 106, 9435, 12910, 1517, 14791, 19219, 7402, 106, 143, 5346, 6680, 1161, 1135, 16326, 1202, 12957, 1201, 106, 14674, 1226, 1135, 16326, 1202, 12957, 1201, 106, 14674, 1226, 1135, 24780, 1192, 1613, 3383, 106, 14674, 1226, 1135, 2482, 1306, 16057, 3032, 1573, 106, 14674, 1226, 1135, 26518, 9633, 1201, 1175, 2899, 19131, 116, 106, 8857, 5700, 13121, 22672, 106, 148, 1159, 19219, 6791, 32001, 488, 106, 32000, 20036, 106, 155, 3030, 1325, 1121, 1112, 1669, 24051, 1170, 488, 124, 131, 3201, 488, 124, 132, 130, 130, 119, 1188, 19099, 2462, 1414, 1285, 8579, 116, 1299, 1189, 10952, 24832, 1125, 19219, 1300, 17866, 121, 106, 106, 2003, 12224, 488, 106, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 23646, 1227, 19219, 1300, 17866, 121, 106, 106, 199, 488, 124, 132, 132, 127, 120, 132, 128, 4949, 14143, 2097, 1125, 1306, 1770, 4949, 1200, 147, 149, 152, 156, 4949, 488, 128, 129, 4949, 488, 124, 4949, 488, 131, 4949, 488, 132, 4949, 488, 125, 127, 126, 4949, 488, 125, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 132, 124, 106, 199, 120, 106, 199, 488, 124, 132, 132, 128, 120, 132, 129, 4949, 14143, 2097, 1125, 1306, 1770, 4949, 1200, 147, 149, 152, 156, 4949, 488, 129, 126, 4949, 488, 125, 126, 4949, 488, 126, 129, 4949, 488, 128, 132, 4949, 488, 127, 129, 127, 4949, 488, 124, 131, 4949, 488, 124, 124, 4949, 488, 131, 4949, 488, 124, 132, 4949, 488, 131, 124, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 129, 120, 132, 130, 4949, 14143, 2097, 1125, 1306, 1770, 4949, 1200, 147, 149, 152, 156, 4949, 488, 129, 125, 4949, 488, 124, 131, 4949, 488, 127, 128, 4949, 488, 129, 126, 4949, 488, 127, 132, 128, 4949, 488, 124, 127, 4949, 488, 126, 4949, 488, 124, 126, 4949, 488, 124, 129, 4949, 488, 131, 126, 106, 199, 120, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 4949, 3032, 1573, 1125, 2482, 1306, 16057, 4949, 3526, 147, 4949, 488, 128, 123, 4949, 488, 124, 128, 4949, 488, 124, 125, 4949, 488, 125, 130, 4949, 488, 126, 123, 132, 4949, 488, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 129, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 124, 132, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 124, 128, 126, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 129, 125, 4949, 488, 127, 4949, 488, 128, 4949, 488, 132, 4949, 488, 125, 128, 131, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 4949, 3032, 1573, 1125, 2482, 1306, 16057, 4949, 488, 3526, 147, 4949, 488, 124, 123, 4949, 488, 126, 4949, 488, 124, 4949, 488, 127, 4949, 488, 129, 128, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 127, 131, 4949, 488, 126, 4949, 488, 129, 4949, 488, 132, 4949, 488, 124, 129, 132, 4949, 488, 127, 4949, 488, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 131, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 130, 124, 4949, 488, 126, 4949, 488, 130, 4949, 488, 124, 123, 4949, 488, 125, 127, 131, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 125, 123, 123, 124, 120, 125, 123, 123, 125, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 130, 132, 4949, 488, 127, 4949, 488, 128, 4949, 488, 132, 4949, 488, 126, 128, 127, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 125, 120, 125, 123, 123, 126, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 129, 126, 4949, 488, 125, 4949, 488, 126, 4949, 488, 128, 4949, 488, 124, 132, 126, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 125, 123, 123, 126, 120, 125, 123, 123, 127, 4949, 1192, 1613, 3383, 1227, 24780, 4949, 1200, 153, 147, 4949, 488, 127, 132, 4949, 488, 126, 4949, 488, 124, 4949, 488, 127, 4949, 488, 124, 130, 132, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 4949, 9633, 1201, 1125, 26518, 4949, 1254, 3246, 151, 4949, 488, 126, 130, 4949, 488, 130, 4949, 488, 131, 4949, 488, 124, 128, 4949, 488, 124, 126, 132, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 106, 199, 488, 126, 132, 124, 4949, 488, 124, 132, 4949, 488, 125, 130, 4949, 488, 127, 129, 4949, 488, 125, 126, 124, 131, 4949, 488, 127, 4949, 488, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 131, 106, 106, 10853, 488, 106, 106, 153, 3400, 1186, 3201, 488, 124, 132, 130, 130, 106, 153, 3400, 1188, 17477, 106, 2439, 178, 1728, 120, 2834, 19352, 1517, 106, 149, 12590, 22256, 1517, 1125, 19219, 1300, 17866, 106, 2330, 3420, 1125, 2762, 245, 1210, 1272, 1197, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 106, 149, 12590, 1197, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 106, 149, 12590, 1125, 6389, 1613, 3383, 1227, 24780, 106, 149, 12590, 1227, 3032, 1573, 1125, 2482, 1306, 16057, 106, 149, 12590, 1197, 9633, 1201, 1125, 26518, 1175, 2899, 19131, 116, 106, 2330, 1916, 1231, 1125, 1158, 11609, 25481, 106, 5335, 172, 5725, 1125, 19219, 1300, 17866, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 155, 3030, 1325, 1121, 1112, 1669, 24051, 1170, 488, 124, 131, 3201, 488, 124, 132, 130, 130, 119, 1188, 19099, 2462, 1414, 1285, 8579, 116, 1299, 1189, 10952, 24832, 1125, 19219, 1300, 17866, 121, 106, 106, 2003, 12224, 488, 106, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 23646, 1227, 19219, 1300, 17866, 121, 106, 106, 199, 488, 124, 132, 132, 127, 120, 132, 128, 4949, 14143, 2097, 1125, 1306, 1770, 4949, 1200, 147, 149, 152, 156, 4949, 488, 128, 129, 4949, 488, 124, 4949, 488, 131, 4949, 488, 132, 4949, 488, 125, 127, 126, 4949, 488, 125, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 132, 124, 106, 199, 120, 106, 199, 488, 124, 132, 132, 128, 120, 132, 129, 4949, 14143, 2097, 1125, 1306, 1770, 4949, 1200, 147, 149, 152, 156, 4949, 488, 129, 126, 4949, 488, 125, 126, 4949, 488, 126, 129, 4949, 488, 128, 132, 4949, 488, 127, 129, 127, 4949, 488, 124, 131, 4949, 488, 124, 124, 4949, 488, 131, 4949, 488, 124, 132, 4949, 488, 131, 124, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 129, 120, 132, 130, 4949, 14143, 2097, 1125, 1306, 1770, 4949, 1200, 147, 149, 152, 156, 4949, 488, 129, 125, 4949, 488, 124, 131, 4949, 488, 127, 128, 4949, 488, 129, 126, 4949, 488, 127, 132, 128, 4949, 488, 124, 127, 4949, 488, 126, 4949, 488, 124, 126, 4949, 488, 124, 129, 4949, 488, 131, 126, 106, 199, 120, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 4949, 3032, 1573, 1125, 2482, 1306, 16057, 4949, 3526, 147, 4949, 488, 128, 123, 4949, 488, 124, 128, 4949, 488, 124, 125, 4949, 488, 125, 130, 4949, 488, 126, 123, 132, 4949, 488, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 129, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 124, 132, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 124, 128, 126, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 129, 125, 4949, 488, 127, 4949, 488, 128, 4949, 488, 132, 4949, 488, 125, 128, 131, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 4949, 3032, 1573, 1125, 2482, 1306, 16057, 4949, 488, 3526, 147, 4949, 488, 124, 123, 4949, 488, 126, 4949, 488, 124, 4949, 488, 127, 4949, 488, 129, 128, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 127, 131, 4949, 488, 126, 4949, 488, 129, 4949, 488, 132, 4949, 488, 124, 129, 132, 4949, 488, 127, 4949, 488, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 131, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 130, 124, 4949, 488, 126, 4949, 488, 130, 4949, 488, 124, 123, 4949, 488, 125, 127, 131, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 125, 123, 123, 124, 120, 125, 123, 123, 125, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 130, 132, 4949, 488, 127, 4949, 488, 128, 4949, 488, 132, 4949, 488, 126, 128, 127, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 125, 120, 125, 123, 123, 126, 4949, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 4949, 1200, 153, 147, 4949, 488, 129, 126, 4949, 488, 125, 4949, 488, 126, 4949, 488, 128, 4949, 488, 124, 132, 126, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 106, 199, 488, 125, 123, 123, 126, 120, 125, 123, 123, 127, 4949, 1192, 1613, 3383, 1227, 24780, 4949, 1200, 153, 147, 4949, 488, 127, 132, 4949, 488, 126, 4949, 488, 124, 4949, 488, 127, 4949, 488, 124, 130, 132, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 199, 120, 488, 106, 199, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 4949, 9633, 1201, 1125, 26518, 4949, 1254, 3246, 151, 4949, 488, 126, 130, 4949, 488, 130, 4949, 488, 131, 4949, 488, 124, 128, 4949, 488, 124, 126, 132, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 4949, 1323, 106, 106, 199, 488, 126, 132, 124, 4949, 488, 124, 132, 4949, 488, 125, 130, 4949, 488, 127, 129, 4949, 488, 125, 126, 124, 131, 4949, 488, 127, 4949, 488, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 131, 106, 106, 10853, 488, 106, 106, 153, 3400, 1186, 3201, 488, 124, 132, 130, 130, 106, 153, 3400, 1188, 17477, 106, 2439, 178, 1728, 120, 2834, 19352, 1517, 106, 149, 12590, 22256, 1517, 1125, 19219, 1300, 17866, 106, 2330, 3420, 1125, 2762, 245, 1210, 1272, 1197, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 106, 149, 12590, 1197, 1202, 12957, 1201, 1125, 1158, 7529, 1468, 106, 149, 12590, 1125, 6389, 1613, 3383, 1227, 24780, 106, 149, 12590, 1227, 3032, 1573, 1125, 2482, 1306, 16057, 106, 149, 12590, 1197, 9633, 1201, 1125, 26518, 1175, 2899, 19131, 116, 106, 2330, 1916, 1231, 1125, 1158, 11609, 25481, 106, 5335, 172, 5725, 1125, 19219, 1300, 17866, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 149, 27505, 1233, 9078, 1285, 9204, 1147, 488, 124, 130, 128, 128, 1147, 22757, 5523, 9615, 1329, 1671, 2569, 3297, 1171, 12743, 1147, 488, 124, 131, 123, 129, 119, 7850, 1147, 8069, 1810, 1463, 1110, 9324, 3626, 14105, 22503, 1659, 1171, 20249, 3007, 1657, 2133, 27642, 1163, 1135, 1235, 8636, 1220, 4986, 17328, 2071, 1171, 6755, 20505, 1161, 14289, 18034, 1147, 2068, 2549, 2036, 109, 106, 106, 141, 180, 11114, 106, 106, 140, 1114, 1478, 1121, 1147, 1135, 11801, 13363, 1762, 1386, 26939, 2295, 8590, 7212, 1238, 1765, 4823, 6273, 1175, 124, 130, 130, 129, 120, 124, 130, 130, 131, 116, 1296, 1110, 1281, 11273, 1171, 2491, 20036, 20249, 3007, 1657, 1410, 2217, 29498, 8576, 2488, 9324, 16943, 4741, 2068, 2549, 1810, 25518, 10379, 30895, 1171, 5807, 172, 2181, 1405, 1614, 1765, 1559, 18492, 1386, 1463, 10901, 1427, 1163, 16865, 9702, 121, 106, 106, 159, 5635, 15019, 1161, 1765, 4373, 1324, 7212, 119, 1386, 12803, 1765, 2882, 1163, 18851, 4988, 1161, 8069, 2036, 16710, 1118, 3074, 1156, 1449, 1135, 2217, 29498, 1161, 1643, 4873, 2566, 119, 2293, 9448, 2667, 4021, 1161, 1151, 2217, 29498, 1147, 5516, 1161, 1135, 1266, 1249, 22629, 10560, 3301, 1147, 1173, 17551, 1575, 1171, 9668, 2068, 2549, 2036, 2192, 2217, 29498, 119, 1758, 8492, 1147, 488, 124, 130, 131, 128, 1171, 1463, 1693, 7428, 1449, 1293, 1342, 1164, 1142, 1173, 1626, 1512, 19252, 2000, 2055, 4373, 1147, 18246, 1310, 3626, 2071, 9977, 1427, 16606, 3162, 1324, 1135, 4894, 5049, 1161, 18722, 1238, 1135, 4639, 8727, 1147, 2068, 25019, 1171, 5912, 1149, 1543, 1189, 14682, 1156, 4985, 1297, 106, 106, 1598, 2197, 1492, 7164, 1161, 1135, 2217, 29498, 3936, 10315, 27898, 12579, 1238, 6942, 488, 130, 119, 488, 124, 130, 131, 128, 121, 9742, 1972, 114, 5646, 7634, 1156, 1302, 1161, 4172, 1200, 12995, 4748, 2000, 2055, 2023, 1238, 7212, 1361, 4823, 2217, 29498, 119, 1171, 9742, 1972, 10769, 1163, 19544, 13812, 1663, 1200, 12995, 1379, 1463, 24034, 1147, 488, 124, 130, 131, 130, 1238, 8863, 31679, 1161, 3026, 1110, 9197, 1499, 2305, 1410, 2217, 29498, 2491, 8720, 1110, 12917, 1147, 1110, 19747, 119, 1171, 1341, 1463, 1375, 17155, 4945, 488, 124, 130, 132, 123, 1147, 13272, 2248, 1342, 25756, 5005, 12504, 1174, 1210, 1889, 182, 2305, 1410, 26497, 192, 6003, 31812, 1171, 17284, 7451, 21158, 2025, 2540, 4361, 119, 1663, 1135, 29618, 1238, 1135, 4950, 5054, 1463, 22178, 11051, 1105, 3078, 6067, 9742, 1972, 20142, 1156, 1135, 18451, 30854, 25680, 11480, 1252, 25672, 3166, 6289, 1518, 25682, 1569, 9641, 119, 1110, 2191, 1161, 1135, 6054, 1361, 4522, 1163, 2017, 3624, 1297, 106, 106, 141, 1292, 1972, 23212, 1163, 1280, 1147, 3478, 14223, 1147, 8265, 1135, 2217, 29498, 1171, 1294, 1354, 1589, 1910, 1161, 1765, 20254, 121, 2133, 6470, 8071, 1163, 5065, 1135, 1139, 1249, 22629, 1161, 1173, 17551, 1575, 1449, 4985, 119, 2884, 1293, 1342, 1164, 1142, 1173, 1626, 25157, 9553, 1163, 14695, 1163, 4216, 30137, 1135, 26497, 192, 6003, 9641, 1297, 25509, 1135, 2197, 11748, 1169, 1145, 2580, 1147, 1671, 1569, 1178, 5005, 1147, 488, 124, 130, 132, 127, 1226, 1110, 1559, 1163, 10315, 27898, 8519, 3296, 106, 106, 1598, 5385, 2025, 29983, 1324, 4013, 1447, 1364, 29618, 1171, 20175, 1870, 1285, 11294, 1173, 1626, 25157, 20369, 1156, 1147, 24513, 5057, 24505, 1161, 1135, 10537, 14654, 16200, 1161, 3398, 2036, 1459, 15146, 1135, 1855, 26253, 2337, 1161, 2068, 25019, 2025, 9517, 1296, 24036, 1161, 3438, 172, 2173, 1449, 14289, 4639, 1441, 17338, 4497, 3511, 1591, 14472, 2334, 9264, 1496, 1171, 14365, 2025, 6762, 1163, 6733, 1789, 7954, 24021, 106, 106, 151, 2078, 18986, 1147, 488, 124, 130, 132, 129, 1163, 1135, 6597, 20461, 12185, 1130, 1161, 1135, 14289, 3739, 1403, 1474, 27250, 1163, 18886, 18301, 6502, 1146, 16148, 1285, 1386, 11106, 4361, 1110, 6180, 11114, 1355, 10444, 1147, 488, 124, 130, 132, 132, 4912, 1269, 2979, 1765, 30520, 1171, 4210, 1163, 17347, 1246, 121, 106, 106, 2606, 178, 4676, 106, 13100, 1233, 9078, 1285, 1147, 1135, 1539, 4849, 1190, 5778, 3698, 3007, 1212, 12649, 119, 1239, 9463, 1147, 12886, 1161, 10935, 1233, 9078, 1297, 29347, 1132, 12317, 1161, 1765, 2217, 1156, 2984, 1583, 1280, 8226, 119, 10115, 1449, 1293, 1342, 1164, 1142, 1173, 1626, 25157, 1171, 8991, 26900, 1657, 32001, 488, 106, 32000, 20036, 106, 149, 27505, 1233, 9078, 1285, 5252, 1186, 488, 124, 130, 128, 128, 1188, 22757, 5523, 9615, 1362, 1671, 2569, 3297, 1167, 4541, 1186, 488, 124, 131, 123, 129, 12907, 1186, 8903, 2620, 1299, 1189, 7317, 119, 22503, 1793, 1167, 20249, 19100, 11181, 7165, 1768, 22500, 1188, 1606, 3871, 187, 1220, 4986, 1188, 1158, 17328, 1162, 1167, 8208, 1188, 1158, 14696, 21364, 1197, 12364, 1177, 21510, 1186, 2068, 25019, 4821, 106, 106, 141, 11741, 488, 106, 106, 24338, 1109, 1313, 1158, 11801, 13363, 1762, 1527, 20622, 8590, 7212, 2391, 1125, 1594, 8483, 6273, 1175, 124, 130, 130, 129, 120, 124, 130, 130, 131, 116, 1186, 4083, 1309, 1185, 1219, 1374, 2648, 20249, 19100, 21860, 121, 2576, 8636, 21163, 4212, 1215, 1158, 17304, 1214, 3551, 9388, 3725, 27542, 2549, 1810, 1170, 25518, 191, 10379, 5778, 1723, 2072, 5807, 172, 2181, 4511, 1594, 5464, 1317, 14661, 1527, 1299, 2969, 192, 13822, 3189, 3850, 106, 106, 2101, 10854, 1199, 1125, 1594, 5541, 5693, 1125, 7212, 119, 1527, 6019, 1909, 2882, 1188, 18851, 21979, 1173, 2184, 16147, 1215, 3871, 20331, 1125, 1643, 28940, 2566, 119, 2399, 2435, 5714, 1170, 5759, 1160, 2519, 2217, 21163, 1188, 1158, 3370, 1227, 9251, 1227, 6973, 7480, 17936, 1186, 1173, 1456, 2974, 1167, 2079, 27542, 2549, 2036, 4060, 2217, 21163, 119, 6475, 1303, 1186, 488, 124, 130, 131, 128, 1167, 2423, 1303, 1215, 1293, 1342, 1164, 1142, 1173, 1626, 191, 1512, 19252, 6640, 2534, 1370, 2519, 5541, 1313, 1158, 7342, 1186, 18246, 8640, 2138, 2960, 10924, 4092, 1469, 1856, 10904, 1189, 3598, 1300, 1170, 7252, 1197, 3663, 189, 1842, 1186, 2068, 25019, 1167, 1158, 19438, 1973, 1125, 2962, 19602, 2081, 3839, 19438, 2647, 6002, 106, 106, 4455, 2069, 26921, 1125, 3871, 20331, 1910, 1129, 1125, 30707, 1630, 1201, 10914, 1170, 1939, 6280, 5646, 3664, 1439, 4421, 1125, 4172, 1200, 12995, 4748, 7271, 1125, 1158, 8483, 2217, 21163, 1125, 7212, 119, 1167, 9742, 1972, 16636, 1125, 1282, 26700, 1723, 1440, 4755, 1299, 9829, 1186, 488, 124, 130, 131, 130, 1734, 1527, 1299, 17161, 244, 9033, 1189, 4071, 1231, 1188, 1158, 28594, 1197, 7514, 121, 2576, 8636, 21163, 7171, 6349, 1189, 27214, 1313, 1318, 3788, 2752, 1167, 9346, 4249, 21119, 8688, 488, 124, 130, 132, 123, 1188, 13272, 2248, 1342, 25756, 5005, 12504, 1174, 191, 1210, 1889, 182, 3266, 1808, 20403, 2068, 244, 1118, 1117, 6542, 1167, 1158, 1138, 9312, 1227, 17284, 12013, 28283, 1508, 22503, 1473, 1723, 3871, 1291, 4078, 5719, 23777, 1299, 12048, 11051, 1396, 3798, 9742, 1972, 3664, 1439, 11103, 3871, 1291, 1121, 1793, 24587, 25680, 11480, 1252, 25672, 3166, 2079, 23684, 1518, 25682, 22429, 12368, 1125, 1282, 6724, 1125, 1158, 3734, 1256, 5610, 3624, 1297, 106, 106, 141, 1292, 1972, 1281, 10825, 1996, 5447, 1129, 1313, 1170, 5759, 1160, 1125, 3871, 20331, 1167, 1281, 2367, 1188, 9823, 1318, 3247, 1125, 1594, 6428, 5533, 1768, 12459, 1215, 1158, 3011, 1125, 5797, 2430, 1374, 1215, 1158, 7877, 1170, 20449, 1182, 1125, 1158, 1173, 1456, 22729, 11781, 1309, 1293, 1342, 1164, 1142, 1173, 1626, 191, 25157, 20861, 1158, 4592, 1256, 11826, 3871, 1291, 4078, 1197, 20403, 2068, 244, 1118, 1117, 2334, 1457, 4444, 17785, 1207, 2069, 10431, 1281, 11512, 1129, 1188, 1209, 1569, 1261, 5005, 1186, 488, 124, 130, 132, 127, 1256, 1189, 5464, 2079, 30707, 1630, 1201, 11270, 3296, 106, 106, 2606, 13466, 1299, 1644, 9242, 1469, 1996, 1125, 5031, 5147, 1291, 4078, 1167, 1125, 5797, 4134, 1945, 9395, 18732, 1173, 1626, 191, 25157, 8524, 1123, 3171, 10982, 1125, 1158, 20707, 20449, 13469, 1125, 6389, 18337, 121, 1653, 14839, 1207, 1574, 5200, 2333, 1104, 16003, 25019, 1508, 13523, 190, 1856, 6058, 15670, 23416, 29131, 1272, 1125, 1158, 1910, 1197, 5997, 5989, 1125, 3663, 189, 1842, 1177, 21510, 4497, 3511, 1591, 14472, 2334, 9264, 116, 1167, 1197, 5023, 1508, 12469, 1256, 8907, 2770, 3220, 1125, 16246, 106, 106, 140, 1319, 1363, 244, 1215, 1158, 18908, 1186, 488, 124, 130, 132, 129, 119, 1188, 1158, 2164, 7416, 1125, 1158, 4592, 1266, 1941, 1125, 1158, 19021, 29304, 1366, 1125, 14512, 1256, 17105, 1197, 6345, 1234, 18301, 6502, 6087, 1527, 1299, 18480, 1186, 488, 124, 130, 132, 132, 2335, 1355, 10444, 22453, 1160, 1996, 2567, 1561, 11521, 1167, 1594, 11913, 1188, 17347, 30701, 106, 106, 13645, 19935, 488, 106, 2606, 2195, 1233, 9078, 1285, 1313, 1170, 10750, 23169, 1125, 19933, 1118, 182, 1190, 30895, 1299, 12688, 1186, 4428, 12132, 1125, 10935, 1233, 9078, 1297, 20702, 9011, 5931, 1153, 1125, 1909, 2217, 244, 2527, 4616, 2976, 3392, 3747, 1215, 1293, 1342, 1164, 1142, 1173, 1626, 191, 25157, 1167, 8991, 26900, 1657, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 488, 8991, 26900, 1659, 18178, 1161, 1110, 4189, 28988, 1171, 1192, 2835, 3007, 1926, 18552, 29498, 1163, 1135, 20339, 6615, 190, 1161, 18846, 1175, 124, 131, 123, 125, 116, 488, 106, 23585, 1844, 1215, 16467, 1125, 16354, 1356, 7886, 1125, 14512, 18851, 4988, 1313, 1170, 8030, 1125, 1158, 14512, 25909, 30592, 1313, 1158, 8580, 4861, 9956, 3701, 1313, 1158, 8580, 12412, 1217, 7490, 119, 1167, 1300, 1207, 4480, 1883, 1125, 6389, 18337, 1257, 2757, 488, 124, 130, 131, 128, 22571, 488, 124, 130, 132, 127, 119, 1215, 1170, 28105, 1345, 9742, 1972, 1257, 1198, 1544, 488, 124, 119, 1198, 1544, 488, 125, 121, 106, 106, 11333, 5888, 176, 488, 106, 30820, 1518, 12400, 2995, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1186, 488, 124, 130, 128, 131, 106, 31133, 1467, 1186, 2798, 488, 124, 131, 123, 129, 106, 1924, 1291, 1121, 1793, 14898, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1125, 3281, 6867, 17529, 27728, 1125, 488, 126, 176, 5971, 106, 1924, 1291, 1121, 1793, 1125, 27542, 25019, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 149, 27505, 1233, 9078, 1285, 5252, 1186, 488, 124, 130, 128, 128, 1188, 22757, 5523, 9615, 1362, 1671, 2569, 3297, 1167, 4541, 1186, 488, 124, 131, 123, 129, 12907, 1186, 8903, 2620, 1299, 1189, 7317, 119, 22503, 1793, 1167, 20249, 19100, 11181, 7165, 1768, 22500, 1188, 1606, 3871, 187, 1220, 4986, 1188, 1158, 17328, 1162, 1167, 8208, 1188, 1158, 14696, 21364, 1197, 12364, 1177, 21510, 1186, 2068, 25019, 4821, 106, 106, 141, 11741, 488, 106, 106, 24338, 1109, 1313, 1158, 11801, 13363, 1762, 1527, 20622, 8590, 7212, 2391, 1125, 1594, 8483, 6273, 1175, 124, 130, 130, 129, 120, 124, 130, 130, 131, 116, 1186, 4083, 1309, 1185, 1219, 1374, 2648, 20249, 19100, 21860, 121, 2576, 8636, 21163, 4212, 1215, 1158, 17304, 1214, 3551, 9388, 3725, 27542, 2549, 1810, 1170, 25518, 191, 10379, 5778, 1723, 2072, 5807, 172, 2181, 4511, 1594, 5464, 1317, 14661, 1527, 1299, 2969, 192, 13822, 3189, 3850, 106, 106, 2101, 10854, 1199, 1125, 1594, 5541, 5693, 1125, 7212, 119, 1527, 6019, 1909, 2882, 1188, 18851, 21979, 1173, 2184, 16147, 1215, 3871, 20331, 1125, 1643, 28940, 2566, 119, 2399, 2435, 5714, 1170, 5759, 1160, 2519, 2217, 21163, 1188, 1158, 3370, 1227, 9251, 1227, 6973, 7480, 17936, 1186, 1173, 1456, 2974, 1167, 2079, 27542, 2549, 2036, 4060, 2217, 21163, 119, 6475, 1303, 1186, 488, 124, 130, 131, 128, 1167, 2423, 1303, 1215, 1293, 1342, 1164, 1142, 1173, 1626, 191, 1512, 19252, 6640, 2534, 1370, 2519, 5541, 1313, 1158, 7342, 1186, 18246, 8640, 2138, 2960, 10924, 4092, 1469, 1856, 10904, 1189, 3598, 1300, 1170, 7252, 1197, 3663, 189, 1842, 1186, 2068, 25019, 1167, 1158, 19438, 1973, 1125, 2962, 19602, 2081, 3839, 19438, 2647, 6002, 106, 106, 4455, 2069, 26921, 1125, 3871, 20331, 1910, 1129, 1125, 30707, 1630, 1201, 10914, 1170, 1939, 6280, 5646, 3664, 1439, 4421, 1125, 4172, 1200, 12995, 4748, 7271, 1125, 1158, 8483, 2217, 21163, 1125, 7212, 119, 1167, 9742, 1972, 16636, 1125, 1282, 26700, 1723, 1440, 4755, 1299, 9829, 1186, 488, 124, 130, 131, 130, 1734, 1527, 1299, 17161, 244, 9033, 1189, 4071, 1231, 1188, 1158, 28594, 1197, 7514, 121, 2576, 8636, 21163, 7171, 6349, 1189, 27214, 1313, 1318, 3788, 2752, 1167, 9346, 4249, 21119, 8688, 488, 124, 130, 132, 123, 1188, 13272, 2248, 1342, 25756, 5005, 12504, 1174, 191, 1210, 1889, 182, 3266, 1808, 20403, 2068, 244, 1118, 1117, 6542, 1167, 1158, 1138, 9312, 1227, 17284, 12013, 28283, 1508, 22503, 1473, 1723, 3871, 1291, 4078, 5719, 23777, 1299, 12048, 11051, 1396, 3798, 9742, 1972, 3664, 1439, 11103, 3871, 1291, 1121, 1793, 24587, 25680, 11480, 1252, 25672, 3166, 2079, 23684, 1518, 25682, 22429, 12368, 1125, 1282, 6724, 1125, 1158, 3734, 1256, 5610, 3624, 1297, 106, 106, 141, 1292, 1972, 1281, 10825, 1996, 5447, 1129, 1313, 1170, 5759, 1160, 1125, 3871, 20331, 1167, 1281, 2367, 1188, 9823, 1318, 3247, 1125, 1594, 6428, 5533, 1768, 12459, 1215, 1158, 3011, 1125, 5797, 2430, 1374, 1215, 1158, 7877, 1170, 20449, 1182, 1125, 1158, 1173, 1456, 22729, 11781, 1309, 1293, 1342, 1164, 1142, 1173, 1626, 191, 25157, 20861, 1158, 4592, 1256, 11826, 3871, 1291, 4078, 1197, 20403, 2068, 244, 1118, 1117, 2334, 1457, 4444, 17785, 1207, 2069, 10431, 1281, 11512, 1129, 1188, 1209, 1569, 1261, 5005, 1186, 488, 124, 130, 132, 127, 1256, 1189, 5464, 2079, 30707, 1630, 1201, 11270, 3296, 106, 106, 2606, 13466, 1299, 1644, 9242, 1469, 1996, 1125, 5031, 5147, 1291, 4078, 1167, 1125, 5797, 4134, 1945, 9395, 18732, 1173, 1626, 191, 25157, 8524, 1123, 3171, 10982, 1125, 1158, 20707, 20449, 13469, 1125, 6389, 18337, 121, 1653, 14839, 1207, 1574, 5200, 2333, 1104, 16003, 25019, 1508, 13523, 190, 1856, 6058, 15670, 23416, 29131, 1272, 1125, 1158, 1910, 1197, 5997, 5989, 1125, 3663, 189, 1842, 1177, 21510, 4497, 3511, 1591, 14472, 2334, 9264, 116, 1167, 1197, 5023, 1508, 12469, 1256, 8907, 2770, 3220, 1125, 16246, 106, 106, 140, 1319, 1363, 244, 1215, 1158, 18908, 1186, 488, 124, 130, 132, 129, 119, 1188, 1158, 2164, 7416, 1125, 1158, 4592, 1266, 1941, 1125, 1158, 19021, 29304, 1366, 1125, 14512, 1256, 17105, 1197, 6345, 1234, 18301, 6502, 6087, 1527, 1299, 18480, 1186, 488, 124, 130, 132, 132, 2335, 1355, 10444, 22453, 1160, 1996, 2567, 1561, 11521, 1167, 1594, 11913, 1188, 17347, 30701, 106, 106, 13645, 19935, 488, 106, 2606, 2195, 1233, 9078, 1285, 1313, 1170, 10750, 23169, 1125, 19933, 1118, 182, 1190, 30895, 1299, 12688, 1186, 4428, 12132, 1125, 10935, 1233, 9078, 1297, 20702, 9011, 5931, 1153, 1125, 1909, 2217, 244, 2527, 4616, 2976, 3392, 3747, 1215, 1293, 1342, 1164, 1142, 1173, 1626, 191, 25157, 1167, 8991, 26900, 1657, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 488, 8991, 26900, 1659, 18178, 1161, 1110, 4189, 28988, 1171, 1192, 2835, 3007, 1926, 18552, 29498, 1163, 1135, 20339, 6615, 190, 1161, 18846, 1175, 124, 131, 123, 125, 116, 488, 106, 23585, 1844, 1215, 16467, 1125, 16354, 1356, 7886, 1125, 14512, 18851, 4988, 1313, 1170, 8030, 1125, 1158, 14512, 25909, 30592, 1313, 1158, 8580, 4861, 9956, 3701, 1313, 1158, 8580, 12412, 1217, 7490, 119, 1167, 1300, 1207, 4480, 1883, 1125, 6389, 18337, 1257, 2757, 488, 124, 130, 131, 128, 22571, 488, 124, 130, 132, 127, 119, 1215, 1170, 28105, 1345, 9742, 1972, 1257, 1198, 1544, 488, 124, 119, 1198, 1544, 488, 125, 121, 106, 106, 11333, 5888, 176, 488, 106, 30820, 1518, 12400, 2995, 106, 106, 28870, 5825, 106, 106, 153, 3400, 1186, 488, 124, 130, 128, 131, 106, 31133, 1467, 1186, 2798, 488, 124, 131, 123, 129, 106, 1924, 1291, 1121, 1793, 14898, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1125, 3281, 6867, 17529, 27728, 1125, 488, 126, 176, 5971, 106, 1924, 1291, 1121, 1793, 1125, 27542, 25019, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 2330, 1107, 180, 25691, 1107, 1154, 3046, 21531, 2765, 9204, 1238, 7327, 488, 126, 119, 488, 124, 132, 130, 129, 1147, 1350, 1724, 179, 1810, 4273, 2266, 2549, 1810, 1239, 1151, 4950, 1215, 5086, 1495, 3510, 1417, 13925, 1147, 22124, 1210, 1491, 7338, 2241, 3676, 1602, 3512, 1589, 1147, 3663, 2885, 2984, 1161, 1135, 17797, 2468, 2293, 1602, 9917, 2197, 10435, 3083, 1132, 1285, 5992, 5788, 19759, 1171, 3337, 21683, 121, 106, 106, 142, 1532, 1107, 106, 5395, 1135, 7227, 1161, 3337, 119, 2293, 1425, 2451, 1427, 1110, 12849, 1302, 3936, 2067, 1215, 2930, 197, 3078, 3676, 1239, 1161, 1350, 1724, 3004, 1197, 3196, 2488, 2067, 5424, 1297, 106, 106, 30559, 5970, 1215, 5086, 1495, 1126, 3750, 1147, 488, 124, 132, 132, 127, 1171, 3062, 2067, 18202, 1355, 1135, 488, 124, 132, 132, 129, 26784, 172, 1778, 2930, 2402, 1146, 21126, 1457, 3730, 119, 2293, 13372, 1135, 8853, 3282, 1147, 1543, 1135, 28790, 2293, 3512, 1589, 1147, 133, 23088, 1147, 1135, 488, 124, 123, 123, 184, 1171, 488, 125, 123, 123, 5862, 1171, 21683, 1147, 1135, 488, 127, 123, 123, 184, 1171, 488, 131, 123, 123, 184, 1198, 128, 127, 121, 14560, 3162, 18775, 18281, 180, 6046, 15406, 9917, 2067, 1940, 1778, 2930, 2402, 1146, 5783, 1147, 1135, 488, 124, 123, 123, 184, 1171, 488, 127, 123, 123, 184, 1198, 128, 127, 119, 1296, 2632, 1296, 23088, 1147, 1135, 488, 125, 123, 123, 5784, 106, 106, 18628, 2484, 21126, 1346, 2293, 30381, 1446, 12621, 1163, 2819, 1110, 4772, 1663, 14969, 9553, 1163, 12621, 1147, 488, 125, 123, 124, 126, 1324, 1135, 8603, 1161, 5916, 8096, 1226, 1135, 488, 125, 123, 124, 129, 1778, 2930, 2402, 1146, 21126, 1346, 3337, 3162, 4123, 1657, 1459, 1135, 1976, 1161, 2067, 4246, 3021, 119, 2293, 9917, 2197, 21683, 3083, 2314, 1355, 1135, 5055, 19047, 190, 1147, 7163, 3847, 106, 106, 159, 194, 9926, 2874, 1647, 3162, 2470, 2067, 1940, 3083, 1132, 1355, 1135, 21126, 1346, 6046, 15406, 9917, 4129, 3083, 1132, 1355, 1135, 488, 125, 123, 125, 123, 21126, 1346, 21683, 1147, 1135, 488, 124, 123, 123, 184, 1198, 128, 127, 1147, 488, 124, 129, 121, 126, 126, 15284, 7594, 12192, 2397, 20168, 2397, 3004, 186, 188, 2323, 1175, 124, 128, 121, 132, 123, 116, 1171, 4444, 185, 1943, 1192, 2082, 172, 1518, 1190, 4520, 172, 1175, 124, 128, 121, 132, 126, 1576, 3676, 9917, 2067, 488, 124, 126, 1276, 1778, 2930, 2402, 1146, 3083, 1132, 1324, 23088, 1147, 1135, 488, 127, 123, 123, 184, 1198, 128, 127, 121, 106, 106, 140, 1210, 1214, 1196, 1525, 106, 106, 2951, 2930, 2402, 1146, 17797, 106, 106, 124, 132, 132, 129, 26784, 172, 1778, 2930, 2402, 1146, 17797, 133, 488, 106, 158, 1142, 1263, 1323, 488, 124, 123, 123, 184, 1198, 128, 127, 106, 158, 1142, 1263, 1323, 488, 125, 123, 123, 184, 1198, 128, 127, 106, 141, 2548, 2174, 1323, 488, 127, 123, 123, 184, 1198, 128, 127, 106, 141, 2548, 2174, 1323, 488, 131, 123, 123, 184, 1198, 128, 127, 106, 106, 125, 123, 123, 123, 27839, 1778, 2930, 2402, 1146, 17797, 133, 106, 146, 2066, 1323, 488, 124, 123, 123, 184, 1198, 128, 127, 106, 158, 1142, 1263, 1323, 488, 127, 123, 123, 184, 1198, 128, 127, 106, 158, 1142, 1263, 1323, 488, 125, 123, 123, 184, 1198, 128, 127, 106, 106, 125, 123, 124, 129, 25999, 1125, 20533, 9249, 1778, 2930, 2402, 1146, 17797, 133, 106, 146, 2066, 1323, 488, 127, 123, 123, 184, 1198, 128, 127, 106, 106, 125, 123, 125, 123, 26855, 1778, 2930, 2402, 1146, 17797, 133, 106, 158, 1142, 1263, 1323, 488, 127, 123, 123, 184, 1198, 128, 127, 106, 141, 2548, 2174, 1323, 488, 124, 123, 123, 184, 1198, 128, 127, 106, 106, 19751, 19047, 190, 106, 106, 125, 123, 124, 126, 11276, 5055, 19047, 3009, 106, 158, 1142, 1263, 1323, 488, 125, 123, 123, 184, 1198, 128, 127, 106, 141, 2548, 2174, 1323, 488, 127, 123, 123, 184, 1198, 128, 127, 106, 106, 125, 123, 124, 128, 1222, 2562, 172, 5055, 19047, 3009, 106, 158, 1142, 1263, 1323, 488, 125, 123, 123, 184, 1198, 128, 127, 106, 106, 125, 123, 124, 130, 9485, 5055, 19047, 3009, 106, 141, 2548, 2174, 1323, 488, 124, 123, 123, 184, 1198, 128, 127, 106, 158, 1142, 1263, 1323, 488, 125, 123, 123, 184, 1198, 128, 127, 106, 158, 1142, 1263, 1323, 488, 127, 123, 123, 184, 1198, 128, 127, 106, 106, 125, 123, 124, 132, 15021, 1558, 5055, 19047, 3009, 106, 141, 2548, 2174, 1323, 488, 124, 123, 123, 184, 1198, 128, 127, 106, 106, 1891, 9520, 106, 106, 26722, 9354, 190, 106, 106, 140, 16609, 1215, 5086, 1495, 3510, 106, 140, 16609, 17031, 2665, 106, 124, 123, 123, 184, 2807, 1977, 106, 125, 123, 123, 184, 2807, 1977, 106, 127, 123, 123, 184, 2807, 1977, 106, 154, 1724, 3004, 30369, 106, 145, 1320, 1366, 11776, 3510, 1355, 1135, 488, 124, 132, 132, 129, 23227, 1778, 2930, 2402, 3674, 106, 145, 1320, 1366, 11776, 3510, 1355, 1135, 488, 125, 123, 123, 123, 23227, 1778, 2930, 2402, 3674, 106, 145, 1320, 1366, 11776, 3510, 1355, 1135, 488, 125, 123, 124, 129, 23227, 1778, 2930, 2402, 3674, 106, 145, 1320, 1366, 11776, 3510, 1355, 1135, 488, 125, 123, 125, 123, 23227, 1778, 2930, 2402, 3674, 106, 141, 2589, 1147, 7327, 488, 124, 132, 130, 129, 106, 141, 2589, 1147, 1350, 1724, 179, 1810, 4273, 2266, 25019, 32001, 488, 106, 32000, 20036, 106, 2330, 1107, 180, 25691, 1107, 1154, 3046, 21531, 2765, 14232, 1170, 488, 126, 2875, 488, 124, 132, 130, 129, 1188, 1350, 1724, 3004, 6229, 176, 2266, 25019, 1496, 1299, 1318, 11776, 183, 4326, 2737, 1120, 1715, 13900, 1892, 1157, 1199, 1186, 11776, 5012, 13780, 1256, 1207, 11776, 183, 12202, 1186, 12292, 4019, 16283, 4974, 3450, 1110, 20888, 1188, 5999, 16801, 1197, 10765, 2585, 2399, 1110, 27216, 2069, 3320, 13841, 1304, 4834, 7762, 24019, 1167, 3203, 1125, 21683, 121, 106, 106, 20616, 4096, 488, 106, 216, 19910, 1125, 3203, 5305, 2399, 1425, 2451, 1148, 1189, 12849, 1357, 1158, 11680, 8994, 1291, 1603, 7165, 1867, 1215, 1909, 23309, 2399, 1299, 1304, 4910, 16114, 1350, 1724, 179, 2036, 106, 106, 15539, 28995, 1282, 1495, 5012, 13780, 2737, 1120, 1715, 1186, 488, 124, 132, 132, 127, 1167, 1844, 1909, 28407, 1571, 10765, 1304, 5395, 11953, 172, 1186, 488, 124, 132, 132, 129, 121, 26655, 119, 2399, 27492, 1300, 1170, 8853, 3282, 1125, 2962, 1207, 14146, 22847, 2399, 5909, 1910, 1257, 31824, 1300, 1170, 488, 124, 123, 123, 1127, 1167, 1170, 488, 125, 123, 123, 1127, 2648, 1170, 21683, 1300, 1170, 488, 127, 123, 123, 1127, 1167, 1170, 488, 131, 123, 123, 1127, 1198, 128, 127, 121, 2722, 4500, 2165, 1408, 14429, 18281, 180, 6046, 15406, 27690, 1126, 1594, 3151, 3694, 1215, 2930, 2402, 1460, 1300, 1170, 488, 124, 123, 123, 1127, 1167, 1170, 488, 127, 123, 123, 1127, 1198, 128, 127, 2442, 1309, 31824, 1300, 1170, 488, 125, 123, 123, 22895, 106, 106, 140, 2136, 2008, 1933, 7489, 2399, 1281, 28899, 1125, 1158, 15142, 1256, 3080, 1107, 1318, 4446, 1723, 20861, 12048, 1158, 15142, 1186, 488, 125, 123, 124, 126, 1313, 28757, 1125, 1281, 5916, 1374, 1256, 1207, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 124, 129, 119, 3203, 2165, 1408, 7959, 121, 2576, 5304, 1125, 1594, 5464, 119, 2399, 27690, 1126, 2069, 3320, 13841, 1125, 21683, 1571, 4322, 19754, 1227, 2854, 1188, 7163, 3847, 106, 106, 161, 8467, 2308, 21932, 2165, 2750, 1561, 3453, 24722, 1571, 1933, 7489, 6046, 15406, 18900, 1318, 3643, 24722, 1571, 10765, 1125, 488, 125, 123, 125, 123, 119, 1170, 21683, 1300, 1170, 488, 124, 123, 123, 1127, 1198, 128, 127, 1186, 488, 124, 129, 1114, 488, 126, 126, 12020, 1158, 1539, 4384, 1439, 2397, 20168, 2397, 3004, 186, 188, 2323, 1175, 124, 128, 1114, 488, 132, 123, 116, 1167, 1158, 4444, 2621, 4964, 1192, 2082, 172, 1518, 1190, 4520, 172, 1175, 124, 128, 1114, 488, 132, 126, 1576, 3450, 18900, 1561, 488, 124, 126, 176, 24722, 1215, 2930, 2402, 1460, 1469, 31824, 1300, 1170, 488, 127, 123, 123, 1127, 1198, 128, 127, 121, 106, 106, 155, 26361, 106, 106, 149, 4814, 1215, 2930, 2402, 2097, 488, 106, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 124, 132, 132, 129, 1188, 26784, 172, 1257, 106, 488, 19730, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 131, 123, 123, 1127, 1198, 128, 127, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 123, 123, 1188, 27839, 1257, 106, 488, 3225, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 124, 129, 1188, 25999, 1125, 20533, 9249, 1257, 106, 488, 3225, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 125, 123, 1188, 26855, 1257, 106, 488, 19730, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 106, 2330, 1916, 19754, 1227, 2854, 488, 106, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 126, 1188, 11276, 1257, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 128, 1188, 1222, 2562, 172, 1257, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 130, 1188, 20024, 1257, 106, 488, 30743, 2174, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 132, 1188, 15021, 5363, 1257, 106, 488, 30743, 2174, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 140, 1276, 183, 4326, 2737, 1120, 1715, 13900, 106, 158, 1327, 6544, 1632, 13900, 106, 142, 7192, 1632, 1125, 488, 124, 123, 123, 13061, 106, 142, 7192, 1632, 1125, 488, 125, 123, 123, 13061, 106, 142, 7192, 1632, 1125, 488, 127, 123, 123, 13061, 106, 155, 7849, 1902, 9760, 22796, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 124, 132, 132, 129, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 123, 123, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 124, 129, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 125, 123, 106, 153, 3400, 1186, 2875, 488, 124, 132, 130, 129, 106, 153, 3400, 1188, 1350, 1724, 3004, 6229, 176, 2266, 2549, 7972, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2330, 1107, 180, 25691, 1107, 1154, 3046, 21531, 2765, 14232, 1170, 488, 126, 2875, 488, 124, 132, 130, 129, 1188, 1350, 1724, 3004, 6229, 176, 2266, 25019, 1496, 1299, 1318, 11776, 183, 4326, 2737, 1120, 1715, 13900, 1892, 1157, 1199, 1186, 11776, 5012, 13780, 1256, 1207, 11776, 183, 12202, 1186, 12292, 4019, 16283, 4974, 3450, 1110, 20888, 1188, 5999, 16801, 1197, 10765, 2585, 2399, 1110, 27216, 2069, 3320, 13841, 1304, 4834, 7762, 24019, 1167, 3203, 1125, 21683, 121, 106, 106, 20616, 4096, 488, 106, 216, 19910, 1125, 3203, 5305, 2399, 1425, 2451, 1148, 1189, 12849, 1357, 1158, 11680, 8994, 1291, 1603, 7165, 1867, 1215, 1909, 23309, 2399, 1299, 1304, 4910, 16114, 1350, 1724, 179, 2036, 106, 106, 15539, 28995, 1282, 1495, 5012, 13780, 2737, 1120, 1715, 1186, 488, 124, 132, 132, 127, 1167, 1844, 1909, 28407, 1571, 10765, 1304, 5395, 11953, 172, 1186, 488, 124, 132, 132, 129, 121, 26655, 119, 2399, 27492, 1300, 1170, 8853, 3282, 1125, 2962, 1207, 14146, 22847, 2399, 5909, 1910, 1257, 31824, 1300, 1170, 488, 124, 123, 123, 1127, 1167, 1170, 488, 125, 123, 123, 1127, 2648, 1170, 21683, 1300, 1170, 488, 127, 123, 123, 1127, 1167, 1170, 488, 131, 123, 123, 1127, 1198, 128, 127, 121, 2722, 4500, 2165, 1408, 14429, 18281, 180, 6046, 15406, 27690, 1126, 1594, 3151, 3694, 1215, 2930, 2402, 1460, 1300, 1170, 488, 124, 123, 123, 1127, 1167, 1170, 488, 127, 123, 123, 1127, 1198, 128, 127, 2442, 1309, 31824, 1300, 1170, 488, 125, 123, 123, 22895, 106, 106, 140, 2136, 2008, 1933, 7489, 2399, 1281, 28899, 1125, 1158, 15142, 1256, 3080, 1107, 1318, 4446, 1723, 20861, 12048, 1158, 15142, 1186, 488, 125, 123, 124, 126, 1313, 28757, 1125, 1281, 5916, 1374, 1256, 1207, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 124, 129, 119, 3203, 2165, 1408, 7959, 121, 2576, 5304, 1125, 1594, 5464, 119, 2399, 27690, 1126, 2069, 3320, 13841, 1125, 21683, 1571, 4322, 19754, 1227, 2854, 1188, 7163, 3847, 106, 106, 161, 8467, 2308, 21932, 2165, 2750, 1561, 3453, 24722, 1571, 1933, 7489, 6046, 15406, 18900, 1318, 3643, 24722, 1571, 10765, 1125, 488, 125, 123, 125, 123, 119, 1170, 21683, 1300, 1170, 488, 124, 123, 123, 1127, 1198, 128, 127, 1186, 488, 124, 129, 1114, 488, 126, 126, 12020, 1158, 1539, 4384, 1439, 2397, 20168, 2397, 3004, 186, 188, 2323, 1175, 124, 128, 1114, 488, 132, 123, 116, 1167, 1158, 4444, 2621, 4964, 1192, 2082, 172, 1518, 1190, 4520, 172, 1175, 124, 128, 1114, 488, 132, 126, 1576, 3450, 18900, 1561, 488, 124, 126, 176, 24722, 1215, 2930, 2402, 1460, 1469, 31824, 1300, 1170, 488, 127, 123, 123, 1127, 1198, 128, 127, 121, 106, 106, 155, 26361, 106, 106, 149, 4814, 1215, 2930, 2402, 2097, 488, 106, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 124, 132, 132, 129, 1188, 26784, 172, 1257, 106, 488, 19730, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 131, 123, 123, 1127, 1198, 128, 127, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 123, 123, 1188, 27839, 1257, 106, 488, 3225, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 124, 129, 1188, 25999, 1125, 20533, 9249, 1257, 106, 488, 3225, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 125, 123, 1188, 26855, 1257, 106, 488, 19730, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 106, 2330, 1916, 19754, 1227, 2854, 488, 106, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 126, 1188, 11276, 1257, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 488, 30743, 2174, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 128, 1188, 1222, 2562, 172, 1257, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 130, 1188, 20024, 1257, 106, 488, 30743, 2174, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 125, 123, 123, 1127, 1198, 128, 127, 106, 488, 19730, 1323, 488, 127, 123, 123, 1127, 1198, 128, 127, 106, 6707, 19754, 1227, 2854, 488, 125, 123, 124, 132, 1188, 15021, 5363, 1257, 106, 488, 30743, 2174, 1323, 488, 124, 123, 123, 1127, 1198, 128, 127, 106, 106, 10853, 106, 106, 28870, 5825, 488, 106, 106, 140, 1276, 183, 4326, 2737, 1120, 1715, 13900, 106, 158, 1327, 6544, 1632, 13900, 106, 142, 7192, 1632, 1125, 488, 124, 123, 123, 13061, 106, 142, 7192, 1632, 1125, 488, 125, 123, 123, 13061, 106, 142, 7192, 1632, 1125, 488, 127, 123, 123, 13061, 106, 155, 7849, 1902, 9760, 22796, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 124, 132, 132, 129, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 123, 123, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 124, 129, 106, 140, 1276, 183, 4326, 7393, 25736, 116, 1571, 10765, 1215, 2930, 2402, 2097, 20862, 1125, 488, 125, 123, 125, 123, 106, 153, 3400, 1186, 2875, 488, 124, 132, 130, 129, 106, 153, 3400, 1188, 1350, 1724, 3004, 6229, 176, 2266, 2549, 7972, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 3562, 1165, 15960, 2732, 119, 1165, 15960, 1178, 1810, 1299, 1189, 7433, 1125, 488, 124, 123, 123, 1188, 488, 124, 130, 123, 14360, 1125, 12267, 25326, 30390, 1645, 174, 3556, 2121, 1207, 1116, 15960, 4038, 6096, 4400, 16702, 1856, 1170, 4374, 7433, 1125, 1158, 4446, 1197, 1165, 15960, 1178, 1431, 172, 1965, 1723, 1207, 12339, 1125, 23879, 178, 7531, 1403, 184, 2708, 196, 2485, 1108, 196, 6506, 2004, 20951, 1309, 10276, 12325, 1207, 1936, 1107, 7630, 1207, 2236, 193, 19033, 1203, 1183, 6002, 2502, 5209, 1170, 7433, 1313, 2962, 1207, 13535, 3788, 16702, 1188, 30118, 1104, 1227, 7195, 1965, 1469, 1189, 5146, 1125, 19696, 1313, 1207, 13535, 1994, 191, 2248, 1926, 1104, 1167, 30118, 1457, 2502, 2803, 3713, 2864, 1304, 4870, 243, 1887, 1186, 14318, 3788, 5364, 17877, 1215, 4070, 488, 127, 14360, 1855, 1205, 9536, 22572, 1227, 8030, 1576, 106, 106, 9688, 488, 106, 4455, 1116, 15960, 4038, 1508, 1197, 12267, 11725, 26995, 18401, 1362, 4089, 22012, 28996, 6505, 1457, 9908, 1508, 30330, 2234, 1188, 1964, 1111, 1205, 1104, 1622, 1346, 1962, 30679, 17061, 7186, 8950, 2130, 8008, 19055, 21325, 6058, 15187, 1104, 1188, 1125, 1677, 1153, 30545, 2609, 4586, 1457, 9908, 2004, 2205, 1996, 1125, 1270, 7425, 3157, 196, 2340, 2040, 5695, 14360, 1856, 1165, 15960, 1178, 172, 2821, 2643, 172, 1508, 28573, 1304, 15508, 1189, 1996, 1125, 5764, 25655, 243, 5650, 3042, 1309, 5610, 1856, 1165, 15960, 1178, 172, 3058, 1273, 4735, 172, 1508, 12462, 3257, 2388, 1104, 1125, 4428, 10657, 1256, 1158, 23300, 121, 106, 106, 4455, 10369, 1125, 1116, 15960, 2732, 2004, 1197, 10082, 22005, 1227, 13327, 1317, 7207, 119, 1186, 14722, 1215, 1170, 18699, 121, 27643, 9507, 1180, 1129, 1186, 4319, 20862, 119, 5610, 1408, 14429, 3702, 1207, 8773, 23311, 1808, 26870, 1508, 9118, 1167, 2513, 1104, 1186, 3828, 13860, 121, 9908, 2004, 1189, 1111, 1603, 2070, 2138, 119, 1167, 2830, 6904, 4229, 1313, 1170, 2429, 488, 128, 1188, 488, 124, 123, 5305, 11976, 18962, 106, 106, 141, 180, 4058, 488, 106, 106, 4455, 26870, 22287, 1160, 1188, 1158, 6300, 1227, 2429, 1362, 1189, 1996, 1186, 17563, 121, 1643, 22287, 1577, 1162, 1915, 2782, 3601, 2130, 1166, 255, 3212, 1723, 1158, 8082, 1890, 3233, 14534, 1318, 21351, 23140, 2567, 488, 128, 1188, 488, 124, 123, 3617, 2750, 1158, 22287, 1577, 1162, 1256, 6904, 4229, 121, 15530, 1304, 31516, 1318, 21351, 4408, 255, 3212, 1158, 8082, 1890, 5562, 1300, 1207, 28405, 1125, 1158, 2646, 3603, 1856, 1207, 2905, 8082, 1457, 1808, 10387, 3340, 1740, 7816, 1906, 1309, 2595, 1285, 1508, 1188, 15623, 1152, 1104, 4270, 1474, 121, 106, 106, 2951, 1141, 19722, 1232, 488, 106, 106, 140, 2136, 1309, 1158, 1116, 15960, 2732, 1110, 12669, 1318, 21351, 1166, 255, 3212, 2399, 18449, 1486, 1126, 6365, 1197, 1111, 1205, 1457, 3066, 4428, 10657, 11550, 1197, 11869, 1525, 4268, 2097, 1188, 1158, 1116, 15960, 2732, 119, 11638, 2513, 1197, 8844, 1502, 1121, 3282, 190, 1357, 29436, 7085, 1313, 1170, 4367, 19632, 31297, 1125, 4428, 255, 7017, 1643, 7338, 1314, 14994, 19859, 6349, 121, 1643, 1116, 15960, 2732, 1915, 1281, 10733, 1167, 25326, 2177, 3171, 8082, 1457, 3762, 1207, 13535, 30118, 1346, 1158, 1116, 15960, 2732, 1281, 15574, 1125, 5228, 1408, 1362, 2864, 4216, 15545, 19121, 1197, 18963, 1167, 1400, 173, 1502, 1457, 3762, 1207, 13535, 3788, 1356, 4321, 1207, 1116, 15960, 4038, 1508, 1197, 12267, 1894, 6352, 119, 1469, 1318, 10891, 1162, 18891, 2377, 23253, 1215, 1170, 4764, 1186, 1318, 3362, 3847, 106, 106, 4455, 1116, 15960, 4038, 25326, 13250, 1125, 6344, 14360, 10891, 12043, 2487, 1189, 4093, 2510, 1125, 12267, 18663, 4321, 1856, 1158, 1115, 11149, 5020, 119, 1170, 1115, 2982, 1170, 1367, 243, 177, 3476, 1158, 1113, 4889, 1125, 27069, 1170, 1270, 189, 1591, 12957, 2247, 119, 1170, 1106, 2194, 1333, 1810, 1158, 1138, 1442, 7664, 1170, 1115, 3915, 1362, 1170, 13283, 1145, 9236, 106, 106, 3562, 9427, 1348, 1197, 28775, 1125, 1116, 15960, 4038, 1299, 2205, 8266, 3702, 1207, 8773, 14433, 3702, 4428, 255, 3212, 1158, 4794, 1125, 21859, 2558, 1553, 1653, 2385, 172, 14934, 4658, 1158, 21351, 1166, 255, 3212, 1158, 1116, 15960, 2732, 10605, 1277, 1561, 9347, 1125, 10251, 2714, 1207, 12849, 2040, 1158, 1116, 15960, 2732, 1915, 2072, 10848, 1188, 1158, 9565, 1125, 3585, 1307, 9536, 2519, 21351, 1188, 24858, 2944, 1995, 2399, 1299, 3662, 1303, 1300, 3171, 12267, 1188, 1158, 2768, 121, 106, 106, 3562, 3370, 1125, 4428, 10657, 488, 106, 5164, 1110, 1913, 17654, 244, 1309, 1158, 1116, 15960, 2732, 18687, 1148, 1197, 27269, 29086, 3035, 1384, 4294, 14147, 1313, 19274, 1256, 3924, 1594, 1166, 255, 7017, 1643, 1116, 15960, 2732, 1606, 5253, 1524, 1207, 1606, 1143, 1208, 1392, 1524, 8324, 2410, 1215, 4428, 10657, 7727, 7112, 16132, 2551, 1398, 1395, 1178, 1382, 5610, 7453, 1125, 31726, 23964, 1158, 9537, 24055, 106, 106, 152, 14669, 3524, 1125, 10251, 488, 106, 2524, 5087, 3293, 2004, 1318, 19777, 1597, 5746, 1199, 1282, 1528, 1162, 1125, 26870, 1125, 1116, 15960, 2732, 119, 4047, 176, 1199, 11884, 1197, 3405, 2027, 1125, 18608, 2081, 28828, 1473, 1215, 1207, 26870, 1125, 1116, 15960, 2732, 121, 7823, 15197, 4322, 1299, 3529, 1363, 2357, 1527, 11584, 1125, 8082, 1107, 1197, 18608, 2081, 1166, 22970, 3672, 3171, 4092, 1458, 10382, 30108, 1814, 30072, 17573, 15947, 2104, 1577, 3193, 1915, 1823, 1945, 3502, 106, 106, 151, 2038, 1304, 4870, 243, 1887, 488, 106, 158, 3015, 1170, 488, 1257, 106, 106, 20634, 1167, 5474, 106, 106, 141, 13449, 488, 106, 1939, 106, 1939, 106, 106, 28870, 5825, 488, 106, 106, 488, 106, 488, 106, 488, 106, 488, 106, 488, 106, 488, 106, 488, 106, 488, 106, 488, 106, 106, 142, 15960, 1178, 1431, 4735, 3835, 2548, 1134, 1267, 116, 106, 2272, 193, 19033, 1203, 1431, 4735, 106, 3956, 2009, 25326, 1286, 114, 32001, 488, 106, 32000, 20036, 106, 142, 15960, 1178, 1810, 24612, 5388, 1296, 1222, 1259, 28770, 1239, 1110, 3998, 1153, 1161, 488, 124, 123, 123, 1163, 488, 124, 130, 123, 13594, 1161, 1215, 13153, 1310, 1264, 5996, 6102, 1107, 3733, 1222, 1259, 17338, 2025, 8261, 1135, 2155, 3998, 1153, 1147, 1135, 1165, 15960, 1178, 1431, 4735, 21263, 1663, 4533, 1449, 1135, 6188, 7531, 1403, 184, 2708, 196, 2485, 1108, 196, 6506, 1602, 8385, 1302, 1799, 1526, 1280, 1936, 4474, 5684, 1135, 2236, 193, 19033, 1203, 1431, 172, 2596, 1410, 3998, 1153, 1239, 3218, 1147, 1543, 9542, 1230, 1163, 30118, 19554, 1161, 1135, 13842, 1324, 1110, 7843, 21457, 1147, 1994, 191, 2248, 1926, 1171, 30118, 6054, 1297, 3730, 1393, 16997, 25684, 13594, 1147, 9542, 1230, 4482, 2026, 18024, 5053, 1324, 2155, 488, 127, 13253, 13594, 1147, 20339, 4159, 1576, 106, 106, 9688, 106, 143, 1259, 17338, 1393, 20556, 119, 18401, 119, 1329, 31025, 4366, 1264, 4886, 1324, 2763, 4013, 9679, 2373, 1195, 1108, 1297, 3842, 1393, 7098, 20802, 1449, 1789, 1181, 2982, 1962, 4080, 1212, 24035, 190, 1302, 5624, 1163, 1537, 1579, 1170, 1342, 1346, 1324, 1938, 4143, 3026, 16356, 1163, 21728, 27081, 1457, 3842, 1537, 2763, 4433, 1270, 7425, 3157, 26824, 134, 1957, 2373, 3939, 2141, 1165, 15960, 1178, 172, 2821, 2643, 1810, 1526, 2939, 1110, 3810, 6386, 1161, 5764, 25655, 1104, 3366, 2884, 24705, 2141, 1165, 15960, 1178, 172, 3058, 1273, 4735, 1810, 1393, 18228, 28314, 1238, 1135, 6173, 1226, 23300, 121, 106, 106, 143, 1259, 1596, 28633, 2933, 1147, 15329, 1446, 31406, 1163, 1311, 6196, 1171, 20556, 121, 7191, 6848, 1137, 1147, 5756, 21505, 1659, 2884, 6864, 6848, 1137, 18775, 16844, 1238, 1135, 2373, 6099, 1410, 1281, 13152, 1393, 3810, 1171, 11992, 1147, 3564, 9256, 7861, 3842, 1537, 1110, 4348, 16498, 1736, 1128, 1171, 1526, 6904, 1647, 1147, 1135, 24980, 1226, 488, 128, 1163, 488, 124, 123, 8937, 1329, 2764, 2102, 1657, 106, 106, 141, 180, 4529, 106, 143, 1259, 1596, 1281, 13152, 22287, 1577, 1230, 1238, 1329, 17114, 5734, 1135, 24980, 6300, 121, 16839, 1577, 1162, 1526, 11148, 3703, 1110, 6173, 119, 1663, 1135, 16498, 5006, 3210, 7590, 1110, 9679, 8082, 4230, 488, 128, 1163, 488, 124, 123, 5150, 2470, 22287, 1577, 1162, 1163, 6904, 20179, 19400, 27242, 1110, 6173, 1264, 2851, 1135, 16498, 5006, 8691, 1104, 1238, 16498, 10101, 1104, 2141, 2017, 1264, 5996, 1410, 10387, 196, 2128, 7816, 11294, 2257, 3310, 1393, 1152, 1104, 4270, 1474, 121, 106, 106, 2951, 1141, 1477, 10616, 106, 28547, 1222, 1259, 1596, 1602, 13372, 1110, 6173, 1264, 2851, 1341, 20709, 1484, 3575, 1135, 24035, 1297, 2728, 1135, 6173, 3431, 5831, 11076, 11869, 1610, 1226, 1135, 1222, 1259, 28770, 1341, 27660, 8844, 1502, 24468, 1302, 15957, 2127, 1135, 6173, 1361, 1152, 29667, 16395, 1410, 5379, 8382, 2491, 1106, 6099, 1222, 1259, 1596, 1526, 4255, 1171, 25326, 1477, 2174, 6134, 1264, 5996, 1459, 30118, 6054, 1285, 1222, 1259, 1596, 1526, 4255, 4222, 9482, 1806, 1163, 1135, 1163, 1484, 1161, 19764, 1171, 1492, 29641, 1297, 1459, 9542, 1230, 6054, 1285, 1222, 1259, 17338, 1393, 12058, 1264, 4886, 1324, 19080, 1162, 17986, 10003, 1449, 1110, 3935, 11300, 25972, 106, 106, 143, 1259, 17338, 25326, 1477, 2174, 2717, 8082, 2373, 3939, 3813, 5057, 3664, 1484, 2536, 1296, 1294, 177, 4937, 1810, 2164, 2012, 119, 1455, 15827, 3863, 1128, 2086, 1270, 189, 1591, 1199, 16984, 9468, 1106, 2194, 1333, 1810, 1367, 3680, 1130, 1152, 3603, 24330, 1762, 1171, 15781, 1145, 9236, 106, 106, 1598, 4440, 1406, 1161, 1222, 1259, 1596, 21554, 2739, 1429, 28384, 16844, 1238, 1135, 2373, 3939, 6173, 119, 19407, 1161, 1135, 7239, 119, 4892, 5535, 14024, 7837, 1135, 6173, 1264, 2851, 1222, 1259, 1596, 12332, 4580, 2019, 9176, 1163, 8394, 1684, 4337, 3027, 134, 1341, 1526, 1959, 19646, 1147, 1135, 9565, 1161, 3585, 1307, 1462, 1446, 1704, 8082, 1163, 4129, 1411, 4143, 1238, 6134, 17553, 1355, 5376, 121, 106, 106, 16112, 2499, 2296, 1149, 106, 4515, 1602, 2023, 8385, 1302, 1222, 1259, 1596, 15698, 190, 3035, 26609, 16838, 13816, 1147, 1135, 4184, 1163, 2751, 2019, 6173, 121, 1222, 1259, 1596, 5207, 5702, 109, 1135, 1235, 1259, 1500, 109, 1895, 24782, 1449, 1135, 7995, 6173, 121, 2192, 2778, 1375, 8238, 1656, 2017, 4918, 1161, 20859, 3615, 2547, 1296, 4942, 1576, 106, 106, 11324, 14304, 190, 106, 152, 2721, 9166, 1537, 22091, 20661, 9012, 1135, 1872, 1162, 1161, 1222, 1259, 1596, 16498, 1285, 1975, 11926, 1189, 4034, 8871, 1589, 27417, 16498, 1297, 4967, 1110, 3573, 1239, 3529, 7770, 119, 1341, 1239, 13614, 1364, 1163, 8082, 2081, 4408, 1531, 3664, 1484, 1226, 5057, 22298, 10805, 1645, 15947, 2104, 1577, 2267, 30072, 17573, 1526, 1280, 2629, 121, 106, 106, 12807, 1429, 4836, 106, 8321, 8756, 1163, 1135, 1509, 11442, 3882, 106, 106, 1891, 9520, 106, 141, 4807, 11114, 1553, 106, 106, 26722, 9354, 190, 106, 106, 142, 15960, 1178, 1431, 4735, 3835, 2548, 1134, 1267, 116, 106, 2272, 193, 19033, 1203, 1431, 4735, 106, 2951, 13153, 1310, 8082, 4297, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 15960, 1178, 1810, 24612, 5388, 1296, 1222, 1259, 28770, 1239, 1110, 3998, 1153, 1161, 488, 124, 123, 123, 1163, 488, 124, 130, 123, 13594, 1161, 1215, 13153, 1310, 1264, 5996, 6102, 1107, 3733, 1222, 1259, 17338, 2025, 8261, 1135, 2155, 3998, 1153, 1147, 1135, 1165, 15960, 1178, 1431, 4735, 21263, 1663, 4533, 1449, 1135, 6188, 7531, 1403, 184, 2708, 196, 2485, 1108, 196, 6506, 1602, 8385, 1302, 1799, 1526, 1280, 1936, 4474, 5684, 1135, 2236, 193, 19033, 1203, 1431, 172, 2596, 1410, 3998, 1153, 1239, 3218, 1147, 1543, 9542, 1230, 1163, 30118, 19554, 1161, 1135, 13842, 1324, 1110, 7843, 21457, 1147, 1994, 191, 2248, 1926, 1171, 30118, 6054, 1297, 3730, 1393, 16997, 25684, 13594, 1147, 9542, 1230, 4482, 2026, 18024, 5053, 1324, 2155, 488, 127, 13253, 13594, 1147, 20339, 4159, 1576, 106, 106, 9688, 106, 143, 1259, 17338, 1393, 20556, 119, 18401, 119, 1329, 31025, 4366, 1264, 4886, 1324, 2763, 4013, 9679, 2373, 1195, 1108, 1297, 3842, 1393, 7098, 20802, 1449, 1789, 1181, 2982, 1962, 4080, 1212, 24035, 190, 1302, 5624, 1163, 1537, 1579, 1170, 1342, 1346, 1324, 1938, 4143, 3026, 16356, 1163, 21728, 27081, 1457, 3842, 1537, 2763, 4433, 1270, 7425, 3157, 26824, 134, 1957, 2373, 3939, 2141, 1165, 15960, 1178, 172, 2821, 2643, 1810, 1526, 2939, 1110, 3810, 6386, 1161, 5764, 25655, 1104, 3366, 2884, 24705, 2141, 1165, 15960, 1178, 172, 3058, 1273, 4735, 1810, 1393, 18228, 28314, 1238, 1135, 6173, 1226, 23300, 121, 106, 106, 143, 1259, 1596, 28633, 2933, 1147, 15329, 1446, 31406, 1163, 1311, 6196, 1171, 20556, 121, 7191, 6848, 1137, 1147, 5756, 21505, 1659, 2884, 6864, 6848, 1137, 18775, 16844, 1238, 1135, 2373, 6099, 1410, 1281, 13152, 1393, 3810, 1171, 11992, 1147, 3564, 9256, 7861, 3842, 1537, 1110, 4348, 16498, 1736, 1128, 1171, 1526, 6904, 1647, 1147, 1135, 24980, 1226, 488, 128, 1163, 488, 124, 123, 8937, 1329, 2764, 2102, 1657, 106, 106, 141, 180, 4529, 106, 143, 1259, 1596, 1281, 13152, 22287, 1577, 1230, 1238, 1329, 17114, 5734, 1135, 24980, 6300, 121, 16839, 1577, 1162, 1526, 11148, 3703, 1110, 6173, 119, 1663, 1135, 16498, 5006, 3210, 7590, 1110, 9679, 8082, 4230, 488, 128, 1163, 488, 124, 123, 5150, 2470, 22287, 1577, 1162, 1163, 6904, 20179, 19400, 27242, 1110, 6173, 1264, 2851, 1135, 16498, 5006, 8691, 1104, 1238, 16498, 10101, 1104, 2141, 2017, 1264, 5996, 1410, 10387, 196, 2128, 7816, 11294, 2257, 3310, 1393, 1152, 1104, 4270, 1474, 121, 106, 106, 2951, 1141, 1477, 10616, 106, 28547, 1222, 1259, 1596, 1602, 13372, 1110, 6173, 1264, 2851, 1341, 20709, 1484, 3575, 1135, 24035, 1297, 2728, 1135, 6173, 3431, 5831, 11076, 11869, 1610, 1226, 1135, 1222, 1259, 28770, 1341, 27660, 8844, 1502, 24468, 1302, 15957, 2127, 1135, 6173, 1361, 1152, 29667, 16395, 1410, 5379, 8382, 2491, 1106, 6099, 1222, 1259, 1596, 1526, 4255, 1171, 25326, 1477, 2174, 6134, 1264, 5996, 1459, 30118, 6054, 1285, 1222, 1259, 1596, 1526, 4255, 4222, 9482, 1806, 1163, 1135, 1163, 1484, 1161, 19764, 1171, 1492, 29641, 1297, 1459, 9542, 1230, 6054, 1285, 1222, 1259, 17338, 1393, 12058, 1264, 4886, 1324, 19080, 1162, 17986, 10003, 1449, 1110, 3935, 11300, 25972, 106, 106, 143, 1259, 17338, 25326, 1477, 2174, 2717, 8082, 2373, 3939, 3813, 5057, 3664, 1484, 2536, 1296, 1294, 177, 4937, 1810, 2164, 2012, 119, 1455, 15827, 3863, 1128, 2086, 1270, 189, 1591, 1199, 16984, 9468, 1106, 2194, 1333, 1810, 1367, 3680, 1130, 1152, 3603, 24330, 1762, 1171, 15781, 1145, 9236, 106, 106, 1598, 4440, 1406, 1161, 1222, 1259, 1596, 21554, 2739, 1429, 28384, 16844, 1238, 1135, 2373, 3939, 6173, 119, 19407, 1161, 1135, 7239, 119, 4892, 5535, 14024, 7837, 1135, 6173, 1264, 2851, 1222, 1259, 1596, 12332, 4580, 2019, 9176, 1163, 8394, 1684, 4337, 3027, 134, 1341, 1526, 1959, 19646, 1147, 1135, 9565, 1161, 3585, 1307, 1462, 1446, 1704, 8082, 1163, 4129, 1411, 4143, 1238, 6134, 17553, 1355, 5376, 121, 106, 106, 16112, 2499, 2296, 1149, 106, 4515, 1602, 2023, 8385, 1302, 1222, 1259, 1596, 15698, 190, 3035, 26609, 16838, 13816, 1147, 1135, 4184, 1163, 2751, 2019, 6173, 121, 1222, 1259, 1596, 5207, 5702, 109, 1135, 1235, 1259, 1500, 109, 1895, 24782, 1449, 1135, 7995, 6173, 121, 2192, 2778, 1375, 8238, 1656, 2017, 4918, 1161, 20859, 3615, 2547, 1296, 4942, 1576, 106, 106, 11324, 14304, 190, 106, 152, 2721, 9166, 1537, 22091, 20661, 9012, 1135, 1872, 1162, 1161, 1222, 1259, 1596, 16498, 1285, 1975, 11926, 1189, 4034, 8871, 1589, 27417, 16498, 1297, 4967, 1110, 3573, 1239, 3529, 7770, 119, 1341, 1239, 13614, 1364, 1163, 8082, 2081, 4408, 1531, 3664, 1484, 1226, 5057, 22298, 10805, 1645, 15947, 2104, 1577, 2267, 30072, 17573, 1526, 1280, 2629, 121, 106, 106, 12807, 1429, 4836, 106, 8321, 8756, 1163, 1135, 1509, 11442, 3882, 106, 106, 1891, 9520, 106, 141, 4807, 11114, 1553, 106, 106, 26722, 9354, 190, 106, 106, 142, 15960, 1178, 1431, 4735, 3835, 2548, 1134, 1267, 116, 106, 2272, 193, 19033, 1203, 1431, 4735, 106, 2951, 13153, 1310, 8082, 4297, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 146, 1142, 6388, 1233, 2715, 1108, 242, 2114, 5252, 1170, 488, 125, 2798, 488, 124, 132, 128, 126, 1188, 1204, 2601, 1346, 1299, 1189, 4501, 11493, 6513, 1125, 1270, 5892, 1167, 4208, 12397, 1152, 3595, 1517, 121, 106, 106, 141, 11741, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 1281, 3351, 1314, 1313, 1189, 3151, 2658, 1188, 1282, 5678, 3041, 1768, 18764, 1594, 31331, 1304, 9570, 21701, 1167, 1125, 5031, 27511, 1285, 2648, 4723, 4567, 1318, 3968, 1357, 2435, 2856, 1304, 1811, 7170, 1317, 4041, 2423, 7441, 9997, 1527, 5909, 2072, 1197, 3285, 1125, 14170, 1167, 8295, 1318, 3968, 1125, 7585, 1317, 20732, 4371, 1125, 20191, 1186, 2429, 177, 243, 4780, 22093, 2620, 2714, 4517, 2442, 8688, 24764, 2287, 1469, 1170, 31891, 3699, 8411, 1470, 6093, 4060, 3968, 21826, 2052, 1188, 1282, 29163, 2335, 31331, 1125, 13822, 1125, 2493, 7165, 1867, 6698, 1527, 1281, 4438, 1188, 1158, 4595, 23389, 1366, 5693, 1125, 9436, 3934, 3307, 197, 1167, 1188, 1158, 4595, 16834, 23247, 1469, 1922, 22176, 16839, 1168, 14768, 3350, 1561, 21519, 3839, 2205, 2604, 2806, 1288, 1281, 20235, 1382, 4410, 2648, 31249, 1281, 20591, 1245, 5693, 6348, 189, 22559, 1173, 1512, 2340, 1256, 1158, 4595, 16834, 13613, 2944, 1304, 31900, 29505, 2360, 1256, 1158, 11515, 1214, 1167, 1125, 6780, 1165, 7741, 1256, 1158, 4595, 16834, 23247, 1167, 1125, 1270, 5892, 121, 106, 106, 140, 28132, 1158, 9245, 1125, 31250, 1233, 2715, 1108, 11715, 2368, 1124, 1310, 1890, 6365, 1125, 1158, 4595, 1304, 1811, 1377, 5899, 1125, 1158, 3968, 1125, 17541, 1125, 1270, 283, 4995, 1167, 1125, 1282, 5678, 3041, 4511, 1204, 2601, 1346, 1527, 1110, 9601, 1167, 29693, 3672, 488, 124, 123, 2165, 1170, 1270, 5892, 27950, 2068, 21936, 178, 1810, 19778, 2519, 1367, 1129, 2100, 12573, 2518, 1167, 9308, 244, 11129, 1188, 1158, 7585, 6172, 189, 3798, 1548, 1270, 5892, 1227, 29833, 1483, 1125, 1204, 24079, 1110, 1913, 9601, 1215, 31250, 1233, 2715, 1108, 11715, 1167, 18513, 2290, 1561, 4595, 7328, 1561, 11521, 1186, 4083, 1309, 13822, 1125, 7585, 1313, 1440, 29833, 1483, 2435, 7037, 2442, 1125, 19715, 1561, 9170, 1125, 1158, 7585, 1167, 1227, 14170, 1571, 6346, 6403, 5996, 18335, 488, 124, 132, 132, 128, 1167, 22571, 488, 125, 123, 124, 132, 119, 1527, 5909, 1158, 6425, 1125, 1158, 7676, 23389, 1366, 1125, 4273, 2547, 19007, 3561, 19174, 1186, 1329, 2111, 27520, 1167, 1469, 5685, 1527, 10452, 1215, 4070, 1350, 1276, 1105, 1125, 5623, 14720, 30771, 1197, 13615, 13678, 1778, 11346, 1158, 4595, 1304, 7904, 2007, 1125, 7585, 23389, 1366, 2435, 1110, 4701, 1913, 1776, 180, 3798, 3762, 1170, 4154, 1125, 1158, 21519, 31250, 1233, 2715, 1108, 11715, 7723, 172, 1170, 8536, 1125, 6606, 1125, 1158, 3968, 1197, 17541, 1125, 1270, 5892, 1317, 5545, 1125, 1282, 15297, 1152, 3595, 7269, 1197, 3323, 3051, 1125, 14170, 6396, 161, 10178, 1576, 1867, 6698, 1527, 1110, 7798, 1197, 3285, 1125, 3968, 1125, 17541, 1125, 1270, 21113, 1313, 1170, 1321, 10103, 19130, 121, 1768, 12368, 3458, 5230, 6712, 3747, 19123, 27866, 1323, 1904, 1741, 1167, 12220, 1175, 124, 132, 131, 130, 116, 1256, 1270, 5892, 6111, 11790, 1167, 1200, 1334, 2663, 13263, 1255, 1256, 1270, 5892, 6111, 11790, 1362, 1125, 7344, 1457, 1548, 4501, 1354, 1152, 3595, 1517, 5367, 7009, 1469, 1158, 3837, 1125, 1204, 2601, 1346, 1189, 12784, 1146, 1890, 1300, 1158, 4501, 3556, 1167, 13586, 1315, 7269, 6116, 12132, 1125, 1158, 19110, 15100, 7163, 25633, 4671, 2624, 5778, 3551, 1124, 2014, 6871, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 1110, 4208, 8694, 1158, 7585, 1317, 29833, 1483, 1125, 1204, 2601, 1457, 1768, 2368, 1109, 1923, 2052, 1313, 3171, 6943, 1167, 12420, 4501, 9484, 1653, 488, 125, 123, 123, 127, 119, 2391, 1125, 13488, 24913, 1215, 1158, 3385, 23389, 1366, 1167, 1282, 1686, 13683, 25866, 10263, 1460, 4273, 2547, 19007, 1140, 1227, 4622, 1867, 9468, 6885, 1227, 31891, 1288, 2547, 19007, 1140, 1517, 5612, 31918, 1659, 1527, 10452, 1207, 4501, 1354, 1297, 4862, 29582, 1527, 10452, 1170, 3274, 24476, 1207, 1185, 1298, 7177, 1376, 1227, 2166, 9556, 1167, 9581, 1197, 27535, 1525, 1313, 1197, 23389, 2137, 1152, 3595, 1517, 1457, 106, 106, 20634, 1167, 5474, 106, 106, 125, 127, 1306, 1929, 1346, 488, 124, 132, 132, 130, 122, 123, 128, 122, 125, 126, 106, 106, 28870, 5825, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 1158, 3385, 23389, 1366, 1323, 10777, 8277, 1205, 2322, 1196, 25829, 122, 170, 13603, 1981, 4220, 4463, 3979, 1301, 1146, 3129, 1193, 10983, 17728, 16548, 122, 125, 123, 124, 123, 122, 123, 125, 122, 125, 128, 122, 124, 123, 179, 127, 131, 170, 124, 132, 5473, 3377, 155, 3047, 170, 154, 1276, 1105, 170, 5568, 14516, 8277, 20071, 1366, 24424, 2547, 1128, 7112, 1210, 122, 11617, 1180, 112, 125, 123, 175, 1879, 1104, 31081, 1276, 1105, 112, 125, 123, 125, 112, 125, 123, 1924, 3528, 170, 125, 128, 120, 123, 124, 120, 125, 123, 124, 123, 112, 128, 141, 124, 112, 128, 143, 14516, 106, 106, 155, 7849, 1902, 1152, 3595, 7269, 1266, 3400, 1186, 2798, 488, 124, 132, 128, 126, 1266, 3400, 1188, 1204, 24079, 21795, 1125, 1270, 5892, 19130, 21795, 16834, 23247, 19130, 26207, 133, 2628, 175, 3421, 15964, 10026, 8805, 32001, 488, 106, 32000, 20036, 106, 146, 1142, 6388, 1233, 2715, 1108, 242, 2114, 9204, 1238, 6384, 488, 125, 119, 488, 124, 132, 128, 126, 1147, 1204, 2601, 1346, 1239, 1110, 2493, 2189, 3100, 1270, 1445, 8760, 3521, 119, 1171, 16920, 1446, 1352, 3595, 121, 106, 106, 141, 180, 11114, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 19089, 26283, 1226, 1110, 9932, 1147, 5724, 2241, 2133, 13196, 1765, 9832, 15851, 21590, 1171, 1110, 21590, 1147, 20753, 13035, 1171, 2491, 12142, 1110, 6788, 2575, 1302, 8304, 2667, 1163, 5724, 1355, 1135, 20649, 28280, 6067, 1386, 1959, 5868, 3237, 1149, 26969, 1171, 12360, 9841, 1110, 4501, 9247, 1355, 1135, 20732, 6497, 1161, 16704, 9269, 1147, 4501, 13011, 119, 22093, 1762, 10771, 4517, 119, 1171, 24764, 2287, 1324, 31022, 3699, 8411, 1470, 6093, 2192, 6788, 7947, 1163, 2667, 5994, 1149, 1110, 9702, 1361, 10375, 1147, 4501, 121, 28778, 1386, 21605, 1270, 11185, 8760, 4145, 1324, 9436, 3934, 3307, 197, 1171, 24764, 5663, 8760, 4145, 1324, 1922, 22176, 16839, 1168, 14768, 7013, 19056, 6788, 2876, 1375, 6025, 1970, 1296, 1386, 12702, 1163, 6733, 1765, 11753, 1324, 8471, 22559, 1173, 1512, 2340, 1226, 24764, 5663, 18886, 2064, 15558, 29505, 2360, 1226, 19742, 8992, 1762, 1171, 6780, 1165, 7741, 1226, 24764, 5663, 1171, 1270, 11185, 18886, 2241, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 1361, 9932, 3360, 1172, 1923, 3575, 8760, 4145, 4208, 1377, 5899, 6788, 1270, 1445, 8760, 3521, 1285, 1171, 5724, 2241, 1459, 1204, 2601, 1346, 1386, 5772, 1171, 17262, 1135, 19315, 1270, 1445, 2068, 21936, 6110, 1226, 488, 124, 123, 8937, 12157, 1161, 3575, 1181, 19920, 23588, 14874, 19847, 1163, 6172, 2395, 4501, 121, 1410, 1270, 1445, 1355, 1135, 1204, 24079, 29833, 1141, 3282, 1463, 20883, 1449, 31250, 1233, 2715, 1108, 11715, 1171, 1463, 2670, 1765, 4595, 4945, 1765, 30520, 1296, 1110, 4501, 16920, 1355, 1135, 29833, 1141, 21896, 15776, 2667, 1163, 1931, 1238, 1765, 9170, 1226, 4501, 1171, 3237, 1149, 1163, 6176, 6924, 1297, 7752, 488, 124, 132, 132, 128, 4945, 488, 125, 123, 124, 132, 119, 1386, 11462, 1296, 1135, 8760, 3521, 1161, 1135, 7676, 23389, 1366, 1125, 4273, 2547, 19007, 3561, 4669, 8271, 1147, 1329, 2111, 27520, 2468, 1386, 18840, 6888, 2536, 1296, 1350, 1276, 1105, 1125, 5623, 14720, 21975, 1161, 1115, 1651, 2996, 2133, 1959, 5298, 7947, 1270, 11185, 4501, 23515, 1297, 1459, 7375, 1161, 3627, 2064, 31250, 1233, 2715, 1108, 11715, 1463, 1147, 3812, 1161, 6788, 1270, 1445, 18886, 1500, 4230, 1135, 1352, 3595, 9756, 1161, 1539, 1445, 7312, 1500, 6396, 161, 10178, 1576, 2133, 1959, 20160, 1270, 1445, 8760, 3521, 6788, 14146, 1147, 1135, 30963, 24621, 2036, 2133, 1602, 26482, 1957, 1870, 1285, 3813, 19123, 23187, 1323, 19662, 1171, 11024, 1175, 124, 132, 131, 130, 116, 1226, 2467, 1361, 1270, 1445, 1171, 1200, 1334, 2663, 13263, 1255, 1226, 2467, 1361, 1329, 22615, 1270, 1445, 121, 1410, 2493, 18351, 1446, 1352, 3595, 7645, 1589, 1324, 1135, 5100, 1161, 1204, 24079, 1163, 6071, 1110, 3481, 2178, 1905, 1135, 2493, 18351, 1171, 12886, 1626, 24942, 1161, 1135, 26749, 15100, 7163, 25633, 4671, 2624, 5778, 3551, 1124, 2014, 6871, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 20160, 4501, 1355, 1135, 1204, 24079, 29833, 1141, 3282, 1171, 1463, 9492, 1147, 5057, 10709, 10615, 1171, 3571, 1297, 1459, 488, 125, 123, 123, 127, 119, 3545, 1135, 5076, 1161, 1135, 4622, 1867, 1255, 1449, 1135, 1270, 11185, 13911, 1171, 1135, 4273, 2547, 19007, 1140, 25866, 10263, 1146, 28745, 119, 26482, 1449, 4273, 2547, 19007, 1140, 31022, 5612, 31918, 1659, 1386, 17262, 1135, 2493, 2189, 13609, 18694, 3733, 1386, 3152, 190, 1135, 24476, 2957, 1808, 1293, 1298, 23682, 1376, 1227, 3276, 9556, 1171, 1131, 6693, 1147, 1226, 1270, 12959, 1147, 1352, 3595, 121, 106, 106, 1891, 9520, 106, 106, 125, 127, 1306, 1929, 1346, 488, 124, 132, 132, 130, 122, 123, 128, 122, 125, 126, 106, 106, 26722, 14520, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 1323, 1539, 11185, 13309, 5517, 8277, 1205, 2322, 1196, 25829, 122, 170, 13603, 1981, 4220, 4463, 3979, 1301, 1146, 3129, 1193, 10983, 17728, 16548, 122, 125, 123, 124, 123, 122, 123, 125, 122, 125, 128, 122, 124, 123, 179, 127, 131, 170, 124, 132, 5473, 3377, 155, 3047, 170, 154, 1276, 1105, 170, 5568, 14516, 8277, 20071, 1366, 24424, 2547, 1128, 7112, 1210, 122, 11617, 1180, 112, 125, 123, 175, 1879, 1104, 31081, 1276, 1105, 112, 125, 123, 125, 112, 125, 123, 1924, 3528, 170, 125, 128, 120, 123, 124, 120, 125, 123, 124, 123, 112, 128, 141, 124, 112, 128, 143, 14516, 106, 106, 25697, 1470, 30369, 1233, 2589, 1147, 6384, 488, 124, 132, 128, 126, 1233, 2589, 1147, 1204, 24079, 30963, 1270, 1445, 8760, 3521, 30963, 24764, 1154, 8760, 3521, 9719, 133, 3728, 175, 3421, 15964, 12225, 1589, 3760, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 146, 1142, 6388, 1233, 2715, 1108, 242, 2114, 9204, 1238, 6384, 488, 125, 119, 488, 124, 132, 128, 126, 1147, 1204, 2601, 1346, 1239, 1110, 2493, 2189, 3100, 1270, 1445, 8760, 3521, 119, 1171, 16920, 1446, 1352, 3595, 121, 106, 106, 141, 180, 11114, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 19089, 26283, 1226, 1110, 9932, 1147, 5724, 2241, 2133, 13196, 1765, 9832, 15851, 21590, 1171, 1110, 21590, 1147, 20753, 13035, 1171, 2491, 12142, 1110, 6788, 2575, 1302, 8304, 2667, 1163, 5724, 1355, 1135, 20649, 28280, 6067, 1386, 1959, 5868, 3237, 1149, 26969, 1171, 12360, 9841, 1110, 4501, 9247, 1355, 1135, 20732, 6497, 1161, 16704, 9269, 1147, 4501, 13011, 119, 22093, 1762, 10771, 4517, 119, 1171, 24764, 2287, 1324, 31022, 3699, 8411, 1470, 6093, 2192, 6788, 7947, 1163, 2667, 5994, 1149, 1110, 9702, 1361, 10375, 1147, 4501, 121, 28778, 1386, 21605, 1270, 11185, 8760, 4145, 1324, 9436, 3934, 3307, 197, 1171, 24764, 5663, 8760, 4145, 1324, 1922, 22176, 16839, 1168, 14768, 7013, 19056, 6788, 2876, 1375, 6025, 1970, 1296, 1386, 12702, 1163, 6733, 1765, 11753, 1324, 8471, 22559, 1173, 1512, 2340, 1226, 24764, 5663, 18886, 2064, 15558, 29505, 2360, 1226, 19742, 8992, 1762, 1171, 6780, 1165, 7741, 1226, 24764, 5663, 1171, 1270, 11185, 18886, 2241, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 1361, 9932, 3360, 1172, 1923, 3575, 8760, 4145, 4208, 1377, 5899, 6788, 1270, 1445, 8760, 3521, 1285, 1171, 5724, 2241, 1459, 1204, 2601, 1346, 1386, 5772, 1171, 17262, 1135, 19315, 1270, 1445, 2068, 21936, 6110, 1226, 488, 124, 123, 8937, 12157, 1161, 3575, 1181, 19920, 23588, 14874, 19847, 1163, 6172, 2395, 4501, 121, 1410, 1270, 1445, 1355, 1135, 1204, 24079, 29833, 1141, 3282, 1463, 20883, 1449, 31250, 1233, 2715, 1108, 11715, 1171, 1463, 2670, 1765, 4595, 4945, 1765, 30520, 1296, 1110, 4501, 16920, 1355, 1135, 29833, 1141, 21896, 15776, 2667, 1163, 1931, 1238, 1765, 9170, 1226, 4501, 1171, 3237, 1149, 1163, 6176, 6924, 1297, 7752, 488, 124, 132, 132, 128, 4945, 488, 125, 123, 124, 132, 119, 1386, 11462, 1296, 1135, 8760, 3521, 1161, 1135, 7676, 23389, 1366, 1125, 4273, 2547, 19007, 3561, 4669, 8271, 1147, 1329, 2111, 27520, 2468, 1386, 18840, 6888, 2536, 1296, 1350, 1276, 1105, 1125, 5623, 14720, 21975, 1161, 1115, 1651, 2996, 2133, 1959, 5298, 7947, 1270, 11185, 4501, 23515, 1297, 1459, 7375, 1161, 3627, 2064, 31250, 1233, 2715, 1108, 11715, 1463, 1147, 3812, 1161, 6788, 1270, 1445, 18886, 1500, 4230, 1135, 1352, 3595, 9756, 1161, 1539, 1445, 7312, 1500, 6396, 161, 10178, 1576, 2133, 1959, 20160, 1270, 1445, 8760, 3521, 6788, 14146, 1147, 1135, 30963, 24621, 2036, 2133, 1602, 26482, 1957, 1870, 1285, 3813, 19123, 23187, 1323, 19662, 1171, 11024, 1175, 124, 132, 131, 130, 116, 1226, 2467, 1361, 1270, 1445, 1171, 1200, 1334, 2663, 13263, 1255, 1226, 2467, 1361, 1329, 22615, 1270, 1445, 121, 1410, 2493, 18351, 1446, 1352, 3595, 7645, 1589, 1324, 1135, 5100, 1161, 1204, 24079, 1163, 6071, 1110, 3481, 2178, 1905, 1135, 2493, 18351, 1171, 12886, 1626, 24942, 1161, 1135, 26749, 15100, 7163, 25633, 4671, 2624, 5778, 3551, 1124, 2014, 6871, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 20160, 4501, 1355, 1135, 1204, 24079, 29833, 1141, 3282, 1171, 1463, 9492, 1147, 5057, 10709, 10615, 1171, 3571, 1297, 1459, 488, 125, 123, 123, 127, 119, 3545, 1135, 5076, 1161, 1135, 4622, 1867, 1255, 1449, 1135, 1270, 11185, 13911, 1171, 1135, 4273, 2547, 19007, 1140, 25866, 10263, 1146, 28745, 119, 26482, 1449, 4273, 2547, 19007, 1140, 31022, 5612, 31918, 1659, 1386, 17262, 1135, 2493, 2189, 13609, 18694, 3733, 1386, 3152, 190, 1135, 24476, 2957, 1808, 1293, 1298, 23682, 1376, 1227, 3276, 9556, 1171, 1131, 6693, 1147, 1226, 1270, 12959, 1147, 1352, 3595, 121, 106, 106, 1891, 9520, 106, 106, 125, 127, 1306, 1929, 1346, 488, 124, 132, 132, 130, 122, 123, 128, 122, 125, 126, 106, 106, 26722, 14520, 106, 106, 146, 1142, 6388, 1233, 2715, 1108, 11715, 1323, 1539, 11185, 13309, 5517, 8277, 1205, 2322, 1196, 25829, 122, 170, 13603, 1981, 4220, 4463, 3979, 1301, 1146, 3129, 1193, 10983, 17728, 16548, 122, 125, 123, 124, 123, 122, 123, 125, 122, 125, 128, 122, 124, 123, 179, 127, 131, 170, 124, 132, 5473, 3377, 155, 3047, 170, 154, 1276, 1105, 170, 5568, 14516, 8277, 20071, 1366, 24424, 2547, 1128, 7112, 1210, 122, 11617, 1180, 112, 125, 123, 175, 1879, 1104, 31081, 1276, 1105, 112, 125, 123, 125, 112, 125, 123, 1924, 3528, 170, 125, 128, 120, 123, 124, 120, 125, 123, 124, 123, 112, 128, 141, 124, 112, 128, 143, 14516, 106, 106, 25697, 1470, 30369, 1233, 2589, 1147, 6384, 488, 124, 132, 128, 126, 1233, 2589, 1147, 1204, 24079, 30963, 1270, 1445, 8760, 3521, 30963, 24764, 1154, 8760, 3521, 9719, 133, 3728, 175, 3421, 15964, 12225, 1589, 3760, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 157, 3841, 2602, 9599, 5877, 1507, 1248, 1506, 1108, 12210, 9512, 9197, 116, 1329, 12047, 2602, 1164, 196, 1651, 14430, 1210, 1248, 1506, 1108, 12210, 9512, 12163, 3191, 2323, 1496, 9204, 1238, 6384, 488, 124, 128, 119, 488, 124, 132, 123, 130, 1147, 1266, 3377, 1289, 5778, 4419, 1246, 1147, 18541, 1496, 12743, 1238, 6324, 488, 124, 128, 119, 488, 124, 132, 131, 124, 1147, 17347, 13597, 1463, 1110, 29234, 5321, 1267, 1171, 12809, 2323, 121, 2133, 1463, 1110, 8366, 19583, 1355, 1135, 1266, 1278, 1377, 2683, 8009, 1132, 1297, 106, 106, 141, 180, 11114, 488, 106, 157, 3841, 1248, 1506, 1108, 12210, 1463, 9204, 1238, 6384, 488, 124, 128, 119, 488, 124, 132, 123, 130, 1147, 1110, 1381, 23298, 4772, 1147, 1135, 3810, 8046, 1161, 1266, 3377, 1289, 182, 2036, 6226, 18045, 8462, 6788, 1355, 1110, 3875, 1147, 17347, 13597, 1386, 7905, 1110, 8366, 19583, 1147, 1135, 29234, 8006, 1147, 488, 124, 132, 125, 132, 121, 1459, 488, 124, 132, 126, 129, 119, 1386, 14010, 1135, 6108, 1267, 12205, 121, 2133, 2670, 194, 1129, 6405, 6788, 1355, 1135, 29234, 8006, 15567, 1161, 24621, 1120, 28053, 1419, 1171, 1463, 22951, 12497, 8366, 19583, 1175, 124, 132, 127, 125, 1496, 2491, 8366, 19583, 1161, 1135, 12163, 3191, 2323, 29234, 9597, 1267, 9629, 1446, 488, 124, 132, 127, 127, 1163, 488, 124, 132, 128, 126, 121, 106, 106, 1428, 488, 124, 132, 127, 128, 119, 1386, 1463, 1110, 8366, 19583, 1355, 1135, 7468, 13908, 1161, 1135, 10215, 11843, 1161, 1135, 3346, 1943, 3079, 31136, 5388, 1296, 1135, 9132, 21168, 1161, 1135, 19477, 17147, 2546, 7368, 1147, 17347, 1246, 121, 3743, 1135, 2274, 1266, 1278, 1377, 2683, 8009, 2726, 4064, 1135, 11843, 1161, 21976, 180, 18948, 6229, 30198, 488, 125, 123, 119, 488, 124, 132, 127, 128, 1163, 7357, 488, 124, 119, 488, 124, 132, 127, 129, 1496, 1386, 1463, 1135, 16865, 8366, 19583, 1226, 1135, 29234, 8006, 121, 2133, 7900, 7757, 6715, 10769, 1163, 4672, 1135, 4815, 24775, 1161, 3346, 1943, 20077, 1163, 1135, 4131, 1457, 13440, 9228, 1125, 1204, 15803, 2114, 1135, 9197, 8366, 1168, 1178, 4834, 1386, 3126, 1156, 1135, 6775, 27548, 1226, 1543, 1135, 14844, 3078, 2133, 7368, 1135, 10215, 11178, 1161, 14277, 22053, 6970, 1355, 1135, 1907, 1161, 1135, 1266, 1278, 1377, 2683, 8009, 3850, 106, 106, 157, 1506, 1108, 12210, 1463, 1959, 1704, 1161, 1135, 4021, 1201, 1161, 1135, 1266, 150, 12602, 4669, 3577, 119, 1110, 6459, 21976, 180, 14901, 3577, 119, 4945, 2019, 4920, 1278, 1147, 488, 124, 132, 128, 123, 121, 7223, 1135, 488, 126, 128, 119, 123, 123, 123, 10548, 1201, 3000, 4691, 1107, 1589, 1970, 2670, 1765, 3185, 9040, 119, 488, 125, 123, 119, 123, 123, 123, 12743, 5404, 1163, 1147, 2240, 1134, 1230, 5431, 1171, 8384, 30309, 3550, 31704, 2025, 7368, 121, 106, 106, 1428, 488, 124, 132, 128, 124, 119, 1386, 7905, 1110, 1125, 24498, 1147, 1135, 19916, 29234, 1161, 1135, 3569, 158, 6171, 6226, 1135, 6775, 1161, 1753, 1132, 2982, 1386, 1463, 22951, 1951, 12909, 10858, 8619, 1161, 1135, 3569, 158, 157, 1238, 5696, 488, 128, 119, 488, 124, 132, 128, 126, 119, 5992, 5150, 2470, 1135, 28916, 1161, 19231, 189, 1655, 5763, 9236, 1248, 1506, 1108, 12210, 1463, 1110, 18206, 1147, 1135, 13908, 1302, 5253, 14400, 5763, 1575, 1163, 6775, 121, 106, 106, 1428, 488, 124, 132, 129, 123, 119, 1386, 1463, 9492, 1147, 1135, 13908, 1161, 4950, 1499, 196, 14055, 19310, 29770, 25450, 2563, 11731, 2860, 2060, 29234, 29837, 121, 2133, 2491, 3512, 1589, 1147, 1135, 1169, 29025, 1161, 1753, 1132, 1109, 3590, 24036, 1296, 1110, 6644, 1161, 1135, 1539, 3802, 2461, 5204, 1175, 124, 132, 129, 124, 120, 124, 132, 129, 126, 1496, 5222, 1156, 1324, 7533, 2267, 1135, 31004, 1161, 1753, 1132, 1109, 1267, 2888, 1661, 121, 106, 106, 6937, 488, 124, 132, 129, 124, 119, 1386, 1463, 1110, 6644, 1161, 1135, 12376, 12358, 1161, 1135, 1165, 5900, 160, 121, 2133, 7368, 1135, 3620, 1161, 1951, 12909, 10858, 8619, 4945, 1765, 6775, 1147, 488, 124, 132, 131, 124, 121, 106, 106, 1428, 488, 124, 132, 130, 125, 119, 1386, 1463, 21302, 1135, 12886, 1626, 5783, 1161, 29060, 1161, 9597, 1267, 7812, 7070, 106, 106, 157, 3841, 1248, 1506, 1108, 12210, 2055, 1110, 3343, 21453, 20288, 8442, 2000, 1463, 1110, 6970, 1147, 1135, 29234, 5859, 15068, 121, 2133, 1463, 1135, 2274, 8366, 13593, 16427, 1147, 1135, 18243, 9984, 12929, 12210, 8009, 1132, 109, 1175, 124, 132, 127, 132, 1496, 2468, 1386, 23359, 31911, 1457, 106, 106, 8682, 1121, 1430, 488, 106, 147, 4782, 1161, 9597, 1267, 16216, 106, 145, 1647, 10199, 14545, 1161, 26404, 1109, 31340, 106, 10551, 1161, 1135, 6214, 1233, 11416, 1161, 16216, 106, 10551, 1161, 1135, 7357, 26799, 106, 106, 158, 3249, 106, 106, 20634, 1171, 22874, 106, 106, 26722, 14520, 106, 106, 141, 180, 11114, 1161, 12047, 1248, 1506, 24632, 2086, 29060, 1161, 9597, 1267, 16216, 106, 106, 158, 1651, 7203, 7468, 8017, 106, 158, 1651, 7203, 23357, 1230, 106, 158, 1651, 7203, 5321, 1267, 106, 2101, 12909, 10858, 1355, 1135, 1266, 1278, 1377, 2683, 8009, 2314, 106, 18406, 1161, 1135, 12376, 12358, 1161, 1135, 6108, 1267, 12205, 1161, 1135, 29234, 8006, 106, 2524, 24498, 1161, 1135, 19916, 29234, 1161, 1135, 29234, 8006, 106, 147, 4782, 1161, 9597, 1267, 16216, 106, 6090, 1461, 1888, 1161, 1135, 14545, 1161, 26404, 1109, 106, 6090, 1461, 1888, 1161, 1135, 14545, 1161, 1135, 7357, 26799, 106, 6090, 1461, 1888, 1161, 1135, 14545, 1161, 1135, 6214, 1233, 11416, 1161, 16216, 106, 6090, 1461, 1888, 1161, 1135, 5645, 1132, 1235, 3952, 3728, 5472, 16216, 1147, 1135, 11023, 5450, 17336, 1310, 6832, 488, 124, 132, 127, 124, 120, 124, 132, 127, 128, 109, 106, 141, 2589, 1147, 6942, 488, 124, 132, 123, 130, 106, 141, 2589, 1147, 1135, 1539, 1608, 1205, 1651, 31823, 1230, 106, 143, 2295, 1147, 6324, 488, 124, 132, 131, 124, 106, 143, 2295, 1147, 17347, 1246, 106, 143, 2295, 1355, 488, 130, 126, 106, 155, 5339, 9531, 2295, 1147, 8929, 1451, 193, 1507, 196, 1165, 1320, 1130, 1884, 114, 32001, 488, 106, 32000, 20036, 106, 157, 3841, 29852, 250, 5877, 5836, 1248, 2759, 1108, 12210, 7216, 2720, 116, 1362, 12047, 2602, 1164, 250, 1651, 14430, 1210, 1248, 2759, 1108, 12210, 7216, 31969, 1354, 1496, 5252, 1170, 488, 124, 128, 2798, 488, 124, 132, 123, 130, 1188, 1266, 3377, 1289, 5778, 22282, 17277, 1186, 18541, 1496, 4541, 1170, 488, 124, 128, 2749, 488, 124, 132, 131, 124, 1188, 17347, 12781, 1299, 1189, 5321, 2038, 1167, 1189, 5598, 3657, 24696, 17285, 1768, 2985, 3747, 28855, 1317, 16590, 1125, 1266, 1278, 1377, 2683, 121, 106, 106, 141, 11741, 488, 106, 157, 3841, 1248, 2759, 1108, 12210, 1139, 8297, 1123, 1170, 488, 124, 128, 2798, 488, 124, 132, 123, 130, 1313, 1318, 4446, 1125, 3293, 1220, 1125, 1158, 5715, 3837, 1125, 1266, 3377, 1289, 182, 2036, 6982, 2782, 7508, 1318, 3968, 6049, 1125, 5321, 2038, 1313, 1318, 17030, 1125, 17347, 12781, 1527, 1971, 1343, 1186, 488, 124, 132, 125, 132, 28855, 1186, 8006, 24696, 17285, 1653, 488, 124, 132, 126, 129, 119, 1527, 26983, 1797, 1317, 15211, 2028, 23767, 1768, 2419, 1123, 1318, 3968, 19116, 1188, 31805, 13177, 1125, 14141, 24696, 1960, 1167, 2985, 12688, 12497, 6777, 174, 1278, 1136, 1175, 124, 132, 127, 125, 1496, 2648, 28855, 1125, 1158, 4104, 6424, 30591, 24696, 1960, 1304, 29640, 1125, 488, 124, 132, 127, 127, 1188, 488, 124, 132, 128, 126, 121, 106, 106, 1686, 488, 124, 132, 127, 128, 119, 1527, 2985, 28855, 2391, 1227, 16590, 3657, 1197, 17541, 18536, 1125, 1158, 9670, 4449, 24562, 28415, 2690, 1606, 23153, 1467, 1197, 1281, 2075, 3133, 1357, 1281, 1111, 1343, 1188, 17347, 30701, 3767, 7774, 16590, 1125, 1266, 1278, 1377, 2683, 119, 2714, 1207, 17541, 1125, 6389, 16260, 24497, 1214, 1175, 125, 123, 2578, 488, 124, 132, 127, 128, 1188, 488, 124, 1107, 2822, 488, 124, 132, 127, 129, 1496, 1527, 2985, 18305, 1153, 1793, 1186, 6513, 1256, 14141, 24696, 17285, 1768, 8314, 172, 1152, 2100, 1160, 1125, 19153, 1170, 4815, 24775, 1197, 3726, 2007, 24562, 1298, 1188, 2008, 17541, 11290, 1153, 2392, 8921, 9228, 1125, 1204, 15803, 2114, 1170, 28855, 15173, 1527, 1338, 1395, 5224, 1158, 10835, 1125, 4541, 1256, 2183, 1207, 14844, 4413, 1768, 3618, 1170, 14890, 11894, 1125, 14277, 22053, 4610, 1317, 3013, 1227, 16590, 1125, 1266, 1278, 1377, 2683, 121, 106, 106, 157, 2759, 1108, 12210, 2985, 2445, 6113, 1197, 4021, 1701, 1186, 6513, 1227, 3577, 4309, 488, 1227, 1266, 150, 12602, 1859, 1189, 7271, 3577, 1125, 14901, 24497, 2433, 7328, 1561, 21042, 1186, 488, 124, 132, 128, 123, 121, 4608, 1207, 488, 126, 128, 488, 123, 123, 123, 22840, 2007, 1357, 1251, 15935, 3000, 4691, 11244, 2290, 1561, 3185, 9040, 119, 488, 125, 123, 488, 123, 123, 123, 5428, 7085, 1158, 4541, 1186, 5169, 2519, 26492, 27656, 2009, 1167, 1197, 6269, 6099, 21891, 16590, 2551, 176, 1178, 3601, 121, 106, 106, 1686, 488, 124, 132, 128, 124, 119, 1527, 1971, 1343, 20653, 1317, 29234, 29590, 1860, 1125, 1282, 2188, 4365, 121, 6982, 1158, 4541, 1125, 1753, 1132, 3603, 1527, 2985, 12688, 28855, 4610, 1125, 1282, 2188, 4365, 1170, 488, 128, 2829, 488, 124, 132, 128, 126, 119, 7762, 3617, 2750, 7652, 14623, 1125, 19231, 189, 1655, 5763, 9236, 1248, 2759, 1108, 12210, 2985, 6248, 1317, 16590, 1357, 9514, 7243, 5763, 1575, 1188, 4541, 121, 106, 106, 5164, 2368, 9848, 172, 1186, 488, 124, 132, 129, 123, 1227, 16590, 1227, 19366, 120, 4870, 1231, 8403, 19310, 29770, 25450, 2563, 1522, 1128, 1585, 19227, 1227, 7019, 24696, 17285, 15518, 1527, 3512, 172, 1188, 1158, 1338, 29025, 1197, 15670, 1227, 1290, 1132, 1109, 2923, 1186, 4083, 1309, 6711, 1125, 1158, 5204, 1539, 3802, 2461, 1175, 124, 132, 129, 124, 120, 124, 132, 129, 126, 1496, 1357, 2985, 22327, 11697, 1134, 12092, 1300, 1207, 27182, 1125, 1158, 1338, 3156, 1290, 1132, 1109, 28355, 106, 106, 216, 3862, 1125, 488, 124, 132, 129, 124, 119, 1527, 2985, 6711, 1227, 13490, 8677, 1227, 7090, 3488, 121, 1768, 5416, 172, 1170, 8536, 1125, 28855, 4610, 7328, 1561, 27688, 1186, 488, 124, 132, 131, 124, 121, 106, 106, 1686, 488, 124, 132, 130, 125, 119, 1527, 7810, 1178, 1170, 3694, 12886, 11190, 1125, 1306, 13088, 1227, 2498, 3056, 23767, 106, 106, 157, 3841, 1248, 2759, 1108, 12210, 3618, 1189, 1360, 6909, 20288, 8442, 1357, 3031, 4610, 1313, 21090, 1125, 19274, 24696, 17285, 1768, 2985, 1170, 7774, 7873, 1979, 1188, 3812, 2391, 1227, 1606, 16590, 1518, 9984, 191, 12929, 12210, 1524, 1175, 124, 132, 127, 132, 1496, 2585, 1527, 2985, 3902, 1186, 16730, 121, 106, 106, 31133, 1121, 1430, 488, 106, 1306, 13088, 1227, 2498, 30591, 106, 1165, 21932, 2768, 14439, 1125, 1200, 1538, 1314, 106, 3225, 13976, 1227, 18568, 1326, 1334, 10293, 1227, 23387, 106, 3225, 13976, 1125, 1158, 12759, 14609, 2727, 106, 106, 158, 3249, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 106, 488, 106, 488, 7072, 4134, 1125, 12047, 1248, 2759, 24632, 2086, 1306, 13088, 1227, 2498, 30591, 106, 106, 155, 7849, 1902, 3657, 24696, 1960, 106, 152, 1193, 2292, 1128, 24696, 1960, 106, 149, 1136, 2038, 24696, 1960, 106, 2101, 174, 1278, 1136, 1317, 16590, 1125, 1266, 1278, 1377, 2683, 106, 8857, 1829, 1227, 13490, 8677, 1227, 15211, 2028, 2038, 1125, 14141, 24696, 1960, 106, 143, 244, 28668, 1227, 29234, 29590, 1860, 1125, 14141, 24696, 1960, 106, 147, 13088, 1227, 2498, 30591, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1125, 1200, 1538, 1314, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1125, 1158, 12759, 14609, 2727, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1227, 18568, 1326, 1334, 10293, 1227, 23387, 106, 159, 1123, 4010, 1125, 1158, 24722, 1606, 2616, 1170, 23387, 1352, 4586, 1199, 1313, 1158, 11961, 12507, 3497, 17336, 1960, 488, 124, 132, 127, 124, 120, 124, 132, 127, 128, 1524, 106, 153, 3400, 1186, 2921, 488, 124, 132, 123, 130, 106, 153, 3400, 1313, 1170, 5987, 1125, 19933, 1608, 1205, 1651, 106, 31133, 1467, 1186, 2749, 488, 124, 132, 131, 124, 106, 31133, 1467, 1188, 17347, 1118, 106, 31133, 1467, 1188, 488, 130, 126, 2165, 106, 155, 7849, 1902, 14786, 1255, 1303, 1317, 30228, 1125, 8929, 1451, 193, 5836, 180, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 157, 3841, 29852, 250, 5877, 5836, 1248, 2759, 1108, 12210, 7216, 2720, 116, 1362, 12047, 2602, 1164, 250, 1651, 14430, 1210, 1248, 2759, 1108, 12210, 7216, 31969, 1354, 1496, 5252, 1170, 488, 124, 128, 2798, 488, 124, 132, 123, 130, 1188, 1266, 3377, 1289, 5778, 22282, 17277, 1186, 18541, 1496, 4541, 1170, 488, 124, 128, 2749, 488, 124, 132, 131, 124, 1188, 17347, 12781, 1299, 1189, 5321, 2038, 1167, 1189, 5598, 3657, 24696, 17285, 1768, 2985, 3747, 28855, 1317, 16590, 1125, 1266, 1278, 1377, 2683, 121, 106, 106, 141, 11741, 488, 106, 157, 3841, 1248, 2759, 1108, 12210, 1139, 8297, 1123, 1170, 488, 124, 128, 2798, 488, 124, 132, 123, 130, 1313, 1318, 4446, 1125, 3293, 1220, 1125, 1158, 5715, 3837, 1125, 1266, 3377, 1289, 182, 2036, 6982, 2782, 7508, 1318, 3968, 6049, 1125, 5321, 2038, 1313, 1318, 17030, 1125, 17347, 12781, 1527, 1971, 1343, 1186, 488, 124, 132, 125, 132, 28855, 1186, 8006, 24696, 17285, 1653, 488, 124, 132, 126, 129, 119, 1527, 26983, 1797, 1317, 15211, 2028, 23767, 1768, 2419, 1123, 1318, 3968, 19116, 1188, 31805, 13177, 1125, 14141, 24696, 1960, 1167, 2985, 12688, 12497, 6777, 174, 1278, 1136, 1175, 124, 132, 127, 125, 1496, 2648, 28855, 1125, 1158, 4104, 6424, 30591, 24696, 1960, 1304, 29640, 1125, 488, 124, 132, 127, 127, 1188, 488, 124, 132, 128, 126, 121, 106, 106, 1686, 488, 124, 132, 127, 128, 119, 1527, 2985, 28855, 2391, 1227, 16590, 3657, 1197, 17541, 18536, 1125, 1158, 9670, 4449, 24562, 28415, 2690, 1606, 23153, 1467, 1197, 1281, 2075, 3133, 1357, 1281, 1111, 1343, 1188, 17347, 30701, 3767, 7774, 16590, 1125, 1266, 1278, 1377, 2683, 119, 2714, 1207, 17541, 1125, 6389, 16260, 24497, 1214, 1175, 125, 123, 2578, 488, 124, 132, 127, 128, 1188, 488, 124, 1107, 2822, 488, 124, 132, 127, 129, 1496, 1527, 2985, 18305, 1153, 1793, 1186, 6513, 1256, 14141, 24696, 17285, 1768, 8314, 172, 1152, 2100, 1160, 1125, 19153, 1170, 4815, 24775, 1197, 3726, 2007, 24562, 1298, 1188, 2008, 17541, 11290, 1153, 2392, 8921, 9228, 1125, 1204, 15803, 2114, 1170, 28855, 15173, 1527, 1338, 1395, 5224, 1158, 10835, 1125, 4541, 1256, 2183, 1207, 14844, 4413, 1768, 3618, 1170, 14890, 11894, 1125, 14277, 22053, 4610, 1317, 3013, 1227, 16590, 1125, 1266, 1278, 1377, 2683, 121, 106, 106, 157, 2759, 1108, 12210, 2985, 2445, 6113, 1197, 4021, 1701, 1186, 6513, 1227, 3577, 4309, 488, 1227, 1266, 150, 12602, 1859, 1189, 7271, 3577, 1125, 14901, 24497, 2433, 7328, 1561, 21042, 1186, 488, 124, 132, 128, 123, 121, 4608, 1207, 488, 126, 128, 488, 123, 123, 123, 22840, 2007, 1357, 1251, 15935, 3000, 4691, 11244, 2290, 1561, 3185, 9040, 119, 488, 125, 123, 488, 123, 123, 123, 5428, 7085, 1158, 4541, 1186, 5169, 2519, 26492, 27656, 2009, 1167, 1197, 6269, 6099, 21891, 16590, 2551, 176, 1178, 3601, 121, 106, 106, 1686, 488, 124, 132, 128, 124, 119, 1527, 1971, 1343, 20653, 1317, 29234, 29590, 1860, 1125, 1282, 2188, 4365, 121, 6982, 1158, 4541, 1125, 1753, 1132, 3603, 1527, 2985, 12688, 28855, 4610, 1125, 1282, 2188, 4365, 1170, 488, 128, 2829, 488, 124, 132, 128, 126, 119, 7762, 3617, 2750, 7652, 14623, 1125, 19231, 189, 1655, 5763, 9236, 1248, 2759, 1108, 12210, 2985, 6248, 1317, 16590, 1357, 9514, 7243, 5763, 1575, 1188, 4541, 121, 106, 106, 5164, 2368, 9848, 172, 1186, 488, 124, 132, 129, 123, 1227, 16590, 1227, 19366, 120, 4870, 1231, 8403, 19310, 29770, 25450, 2563, 1522, 1128, 1585, 19227, 1227, 7019, 24696, 17285, 15518, 1527, 3512, 172, 1188, 1158, 1338, 29025, 1197, 15670, 1227, 1290, 1132, 1109, 2923, 1186, 4083, 1309, 6711, 1125, 1158, 5204, 1539, 3802, 2461, 1175, 124, 132, 129, 124, 120, 124, 132, 129, 126, 1496, 1357, 2985, 22327, 11697, 1134, 12092, 1300, 1207, 27182, 1125, 1158, 1338, 3156, 1290, 1132, 1109, 28355, 106, 106, 216, 3862, 1125, 488, 124, 132, 129, 124, 119, 1527, 2985, 6711, 1227, 13490, 8677, 1227, 7090, 3488, 121, 1768, 5416, 172, 1170, 8536, 1125, 28855, 4610, 7328, 1561, 27688, 1186, 488, 124, 132, 131, 124, 121, 106, 106, 1686, 488, 124, 132, 130, 125, 119, 1527, 7810, 1178, 1170, 3694, 12886, 11190, 1125, 1306, 13088, 1227, 2498, 3056, 23767, 106, 106, 157, 3841, 1248, 2759, 1108, 12210, 3618, 1189, 1360, 6909, 20288, 8442, 1357, 3031, 4610, 1313, 21090, 1125, 19274, 24696, 17285, 1768, 2985, 1170, 7774, 7873, 1979, 1188, 3812, 2391, 1227, 1606, 16590, 1518, 9984, 191, 12929, 12210, 1524, 1175, 124, 132, 127, 132, 1496, 2585, 1527, 2985, 3902, 1186, 16730, 121, 106, 106, 31133, 1121, 1430, 488, 106, 1306, 13088, 1227, 2498, 30591, 106, 1165, 21932, 2768, 14439, 1125, 1200, 1538, 1314, 106, 3225, 13976, 1227, 18568, 1326, 1334, 10293, 1227, 23387, 106, 3225, 13976, 1125, 1158, 12759, 14609, 2727, 106, 106, 158, 3249, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 106, 488, 106, 488, 7072, 4134, 1125, 12047, 1248, 2759, 24632, 2086, 1306, 13088, 1227, 2498, 30591, 106, 106, 155, 7849, 1902, 3657, 24696, 1960, 106, 152, 1193, 2292, 1128, 24696, 1960, 106, 149, 1136, 2038, 24696, 1960, 106, 2101, 174, 1278, 1136, 1317, 16590, 1125, 1266, 1278, 1377, 2683, 106, 8857, 1829, 1227, 13490, 8677, 1227, 15211, 2028, 2038, 1125, 14141, 24696, 1960, 106, 143, 244, 28668, 1227, 29234, 29590, 1860, 1125, 14141, 24696, 1960, 106, 147, 13088, 1227, 2498, 30591, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1125, 1200, 1538, 1314, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1125, 1158, 12759, 14609, 2727, 106, 157, 1416, 1461, 22733, 1369, 1125, 14439, 1227, 18568, 1326, 1334, 10293, 1227, 23387, 106, 159, 1123, 4010, 1125, 1158, 24722, 1606, 2616, 1170, 23387, 1352, 4586, 1199, 1313, 1158, 11961, 12507, 3497, 17336, 1960, 488, 124, 132, 127, 124, 120, 124, 132, 127, 128, 1524, 106, 153, 3400, 1186, 2921, 488, 124, 132, 123, 130, 106, 153, 3400, 1313, 1170, 5987, 1125, 19933, 1608, 1205, 1651, 106, 31133, 1467, 1186, 2749, 488, 124, 132, 131, 124, 106, 31133, 1467, 1188, 17347, 1118, 106, 31133, 1467, 1188, 488, 130, 126, 2165, 106, 155, 7849, 1902, 14786, 1255, 1303, 1317, 30228, 1125, 8929, 1451, 193, 5836, 180, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 150, 26929, 184, 13096, 27899, 190, 197, 236, 1276, 12672, 2611, 488, 124, 131, 127, 130, 1323, 2738, 488, 124, 132, 124, 123, 116, 1299, 1189, 8605, 1452, 4280, 19383, 1167, 5598, 3657, 1166, 1510, 2607, 121, 106, 106, 141, 11741, 106, 152, 2461, 190, 197, 236, 1276, 1139, 6146, 1188, 1173, 197, 182, 2710, 3994, 172, 22282, 17277, 8755, 2710, 1109, 236, 1186, 25350, 8297, 1214, 116, 1313, 1318, 4446, 1125, 5715, 30185, 1206, 1166, 1510, 1150, 8222, 2290, 27302, 1229, 1197, 1306, 4938, 11270, 3296, 1768, 1844, 1197, 8787, 1125, 3090, 1188, 15714, 1125, 11890, 1301, 1182, 1125, 488, 124, 131, 129, 129, 1188, 488, 124, 131, 129, 132, 2130, 8240, 1125, 7628, 255, 4048, 2648, 5617, 1313, 1125, 5087, 29937, 1166, 1510, 2607, 119, 2487, 1170, 6601, 1125, 1202, 17778, 106, 106, 158, 172, 9245, 22497, 8718, 8709, 2121, 1734, 1594, 3838, 1288, 4113, 1571, 14220, 1125, 1594, 18318, 1167, 1207, 8325, 14814, 1928, 23459, 4701, 1197, 29409, 3462, 2996, 6218, 3151, 27366, 22529, 1186, 2069, 20857, 1186, 488, 124, 131, 130, 127, 119, 1527, 4665, 1170, 3694, 3985, 6482, 197, 3118, 1206, 182, 16900, 1252, 15909, 26384, 1723, 1561, 1215, 4292, 4212, 5998, 1147, 7935, 242, 9598, 19321, 3458, 4092, 1527, 9900, 1256, 1197, 3347, 4542, 1723, 5551, 1170, 1996, 1125, 6728, 8566, 1527, 1110, 3175, 1538, 18087, 1188, 1173, 2174, 5569, 1186, 4083, 1309, 3347, 1790, 7017, 6053, 4903, 1414, 1162, 1125, 1173, 2174, 5569, 1186, 488, 124, 131, 130, 132, 1357, 2435, 11870, 2960, 1207, 14766, 1469, 12286, 1527, 7120, 2960, 12048, 1170, 6728, 18424, 106, 106, 1686, 488, 124, 131, 131, 124, 119, 1527, 1177, 2214, 1188, 11890, 1301, 1182, 1167, 5115, 1345, 1317, 6601, 24137, 3225, 190, 197, 236, 178, 6867, 1142, 236, 178, 16900, 3293, 2010, 3879, 3133, 7693, 13409, 1256, 27115, 1158, 16393, 1450, 5956, 116, 1167, 1188, 5610, 3347, 9484, 3762, 1189, 3151, 9058, 1909, 14582, 1508, 29983, 1104, 1723, 1527, 7354, 7581, 13565, 1167, 5332, 4701, 1170, 17260, 10329, 1606, 2941, 1124, 2548, 4821, 1768, 18001, 1469, 1204, 254, 189, 1321, 254, 182, 15862, 6113, 1197, 13588, 1207, 1408, 9526, 180, 4413, 106, 106, 1686, 488, 124, 131, 131, 124, 119, 1527, 1299, 18640, 6711, 1125, 1158, 7676, 13272, 281, 22108, 4497, 1130, 281, 22108, 1198, 236, 13166, 1141, 236, 178, 116, 1167, 1186, 488, 124, 131, 131, 125, 1125, 1158, 7676, 1518, 1120, 177, 1132, 1506, 2305, 1653, 488, 124, 131, 131, 132, 119, 1527, 7354, 6711, 1125, 1271, 21206, 1166, 1510, 1150, 1439, 1197, 4228, 23311, 6982, 1207, 9672, 12891, 30348, 1527, 1281, 12208, 1469, 9672, 1186, 3657, 121, 1768, 1281, 1557, 1214, 1469, 1768, 15742, 1204, 1334, 3583, 1186, 488, 124, 131, 131, 125, 119, 1469, 1357, 1527, 1110, 3203, 1962, 1285, 1518, 26929, 184, 236, 6037, 1321, 13096, 1180, 1167, 13075, 121, 106, 106, 2606, 488, 1527, 5909, 1158, 26892, 1125, 1158, 7676, 1197, 25662, 1188, 11890, 1301, 17778, 1653, 488, 124, 132, 123, 130, 1527, 14882, 1170, 2511, 3248, 1125, 1271, 21206, 1166, 1510, 1150, 1439, 1197, 11733, 1256, 1909, 4783, 3074, 1457, 1653, 488, 124, 132, 124, 123, 1527, 13970, 1170, 5397, 2694, 2247, 19371, 1227, 4319, 1125, 1561, 9245, 12891, 21162, 1768, 16360, 6349, 2680, 2240, 1188, 1204, 236, 3394, 1124, 3377, 197, 1205, 1130, 1167, 19859, 3458, 3617, 1408, 14429, 1170, 1939, 1548, 1874, 1125, 1594, 7130, 23082, 2726, 1173, 197, 182, 2710, 3994, 1810, 1110, 1913, 20540, 1186, 27899, 190, 197, 236, 1276, 177, 1132, 9269, 16900, 7130, 1125, 27899, 190, 197, 236, 1276, 1524, 1576, 106, 106, 143, 1467, 1909, 9881, 5028, 119, 1527, 1275, 31958, 2457, 3839, 1158, 2492, 1125, 3293, 1220, 1167, 11734, 2011, 1220, 1167, 1207, 1151, 29806, 3330, 28712, 26071, 11154, 8182, 172, 1313, 1909, 14766, 7330, 6821, 1457, 1643, 7759, 1125, 1909, 29397, 1275, 31958, 2457, 1158, 23998, 7008, 2335, 5412, 1114, 1384, 3415, 121, 4651, 1971, 1109, 2089, 6349, 1125, 1408, 1186, 1408, 19791, 16221, 10905, 1267, 6358, 29325, 1167, 1170, 4490, 1208, 1334, 7230, 14857, 15415, 1107, 1300, 1158, 3385, 1166, 1510, 1150, 12970, 106, 106, 152, 2461, 190, 197, 236, 1276, 2985, 6711, 1227, 1921, 2539, 8464, 1166, 1510, 2607, 1167, 2985, 18640, 1186, 488, 124, 131, 131, 130, 1188, 23423, 5277, 1125, 13366, 2348, 121, 106, 106, 151, 1289, 1312, 106, 109, 155, 1461, 21879, 1387, 1110, 2222, 197, 1219, 1119, 1523, 3523, 9819, 1558, 1198, 9242, 10248, 1112, 182, 1518, 180, 28281, 1810, 11890, 1301, 7965, 488, 125, 2247, 9891, 119, 488, 124, 131, 132, 126, 106, 106, 158, 3249, 106, 106, 151, 1141, 197, 1728, 1233, 1387, 1810, 1165, 21932, 15085, 1227, 8121, 1257, 1518, 26929, 184, 13096, 27899, 190, 197, 236, 11202, 1147, 24630, 4159, 1859, 11220, 6727, 13366, 1150, 8222, 488, 124, 132, 129, 126, 119, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 224, 31958, 1262, 1166, 1510, 2607, 1227, 26851, 6298, 106, 224, 31958, 1262, 1166, 1510, 2607, 1227, 23841, 6298, 106, 155, 7849, 1902, 3657, 1166, 1510, 1150, 1439, 106, 153, 3400, 1186, 2749, 488, 124, 131, 127, 130, 106, 31133, 1467, 1186, 2738, 488, 124, 132, 124, 123, 106, 31133, 1467, 1188, 488, 129, 126, 2165, 106, 155, 7849, 1902, 14786, 1255, 1303, 1317, 30228, 3781, 1125, 1252, 180, 4437, 180, 30687, 191, 32001, 488, 106, 32000, 20036, 106, 150, 26929, 184, 13096, 27899, 190, 197, 236, 1276, 9845, 28859, 488, 124, 131, 127, 130, 1323, 4151, 488, 124, 132, 124, 123, 116, 1239, 1110, 29081, 11519, 10704, 13808, 6601, 13808, 1171, 12809, 2323, 121, 106, 106, 141, 180, 11114, 106, 152, 2461, 190, 197, 236, 1276, 1463, 9204, 1147, 1173, 197, 182, 2710, 3994, 172, 4419, 1246, 8755, 2710, 1109, 236, 1147, 25350, 1569, 1575, 116, 2127, 1110, 4772, 1161, 29081, 11519, 10971, 1139, 3367, 1406, 2670, 1135, 1306, 4938, 12579, 14377, 21162, 2133, 21605, 3876, 1355, 1135, 4017, 1161, 11890, 1301, 1182, 1446, 488, 124, 131, 129, 129, 1163, 488, 124, 131, 129, 132, 3703, 5994, 1149, 1110, 10375, 119, 1171, 2491, 10919, 1226, 2717, 29081, 11519, 18999, 1301, 2563, 3813, 1135, 1202, 1182, 3347, 3850, 106, 106, 147, 1120, 8717, 1626, 9932, 8492, 5849, 3733, 1296, 1765, 3838, 2876, 1375, 5585, 1163, 1135, 3854, 190, 1161, 1765, 1907, 1171, 12871, 1201, 5298, 13979, 6782, 1931, 7231, 7013, 1940, 4405, 1463, 8226, 1147, 2197, 20857, 1147, 488, 124, 131, 130, 127, 119, 2352, 2128, 3985, 6482, 197, 3118, 1206, 182, 7202, 145, 15909, 9105, 1663, 1341, 6312, 17986, 1189, 5022, 1310, 3078, 2544, 1110, 4013, 3162, 1386, 8627, 1226, 18999, 1301, 2563, 1663, 13993, 4433, 3945, 119, 1386, 11085, 1163, 1173, 2174, 5569, 1296, 1110, 6601, 22676, 1988, 1463, 1135, 488, 124, 131, 130, 132, 27357, 1161, 1173, 2174, 5569, 1302, 17818, 2667, 1163, 6071, 6888, 1302, 2098, 9750, 6435, 2667, 3945, 121, 106, 106, 1428, 488, 124, 131, 131, 124, 119, 1386, 9553, 1163, 11890, 1301, 1182, 1171, 7645, 1589, 1324, 1135, 6601, 3225, 190, 197, 236, 178, 6867, 1142, 236, 178, 7202, 174, 15619, 4817, 2343, 3107, 1171, 2017, 18999, 1301, 2996, 23907, 1641, 1765, 14582, 2025, 1644, 7965, 1663, 1386, 10874, 7905, 7015, 1171, 5298, 2629, 1135, 17260, 8150, 1235, 4968, 1124, 2548, 4095, 2068, 1510, 1324, 1204, 254, 189, 1321, 254, 182, 15862, 1386, 1463, 1704, 1161, 1135, 2481, 2729, 6595, 4767, 1297, 106, 106, 1428, 488, 124, 131, 131, 124, 119, 1386, 1463, 21247, 1110, 6644, 1161, 1135, 13272, 281, 22108, 13309, 4497, 1130, 281, 22108, 1198, 236, 13166, 1141, 236, 178, 116, 1171, 1147, 488, 124, 131, 131, 125, 1161, 1135, 1518, 1120, 177, 1132, 26062, 4911, 23631, 1459, 488, 124, 131, 131, 132, 119, 1386, 7905, 1110, 6644, 1161, 1135, 29081, 11519, 15567, 1161, 18116, 23311, 6226, 1765, 8717, 1626, 3945, 1346, 1386, 17032, 22959, 15943, 121, 2133, 17080, 1768, 15742, 1204, 1334, 3583, 1147, 488, 124, 131, 131, 125, 119, 1324, 13184, 1386, 2055, 3337, 1594, 1285, 1518, 26929, 184, 236, 6037, 1321, 13096, 5160, 1171, 13075, 121, 106, 106, 3466, 488, 1386, 7905, 1135, 10283, 1161, 1135, 11890, 1301, 1182, 8047, 4045, 114, 4911, 23631, 1459, 488, 124, 132, 123, 130, 119, 1386, 6971, 1135, 2511, 29053, 1446, 1135, 29081, 11519, 15567, 1161, 10850, 1226, 1765, 1870, 1297, 1459, 488, 124, 132, 124, 123, 119, 1386, 11030, 1589, 1135, 488, 127, 123, 1276, 27528, 1161, 1135, 10220, 1161, 1765, 8717, 1626, 3660, 1657, 2133, 2491, 17468, 4346, 1147, 1204, 236, 3394, 1124, 3377, 197, 1205, 1130, 1171, 12743, 1110, 4013, 5150, 6470, 1238, 1939, 7013, 3002, 1130, 1782, 1161, 1173, 197, 182, 2710, 3994, 172, 1463, 2674, 5417, 27899, 190, 197, 236, 1276, 177, 1132, 9269, 7202, 193, 4824, 1161, 27899, 190, 197, 236, 1276, 6012, 106, 106, 6937, 1765, 23493, 1182, 20211, 3939, 1386, 2302, 20195, 1135, 9622, 1161, 1381, 1141, 1701, 1171, 5774, 6963, 1296, 2632, 1296, 28712, 1212, 1151, 29806, 3330, 1302, 2098, 5624, 1147, 1765, 6470, 1870, 1297, 10789, 1161, 1765, 10704, 190, 2515, 2091, 1156, 2129, 18991, 11059, 1147, 1110, 1114, 1384, 1766, 1132, 1111, 21156, 3842, 7905, 20816, 11850, 1161, 1135, 1400, 1267, 22243, 1171, 1135, 9531, 8221, 1341, 12627, 1238, 29081, 11519, 2129, 23631, 106, 106, 152, 2461, 190, 197, 236, 1276, 1463, 1110, 6644, 1161, 1135, 29081, 11519, 2539, 5254, 7339, 1171, 1463, 21247, 1163, 1135, 29081, 11519, 4966, 28760, 1147, 488, 124, 131, 131, 130, 121, 106, 106, 14885, 190, 106, 109, 155, 1461, 21879, 1387, 1110, 2222, 197, 1219, 1119, 1523, 1449, 9819, 1558, 1198, 9242, 10248, 1112, 182, 1518, 180, 28281, 1810, 11890, 1301, 7965, 488, 125, 4802, 16794, 119, 488, 124, 131, 132, 126, 106, 106, 158, 3249, 106, 106, 151, 1141, 197, 1728, 1233, 1387, 1810, 29279, 15085, 1446, 1135, 6039, 133, 1518, 26929, 184, 13096, 27899, 190, 197, 236, 11202, 1147, 4159, 20226, 3603, 29081, 11519, 24411, 30159, 488, 124, 132, 129, 126, 119, 106, 106, 26722, 14520, 106, 106, 147, 3513, 11519, 15476, 1446, 1135, 488, 124, 132, 1276, 14851, 106, 147, 3513, 11519, 15476, 1446, 1135, 488, 125, 123, 1276, 14851, 106, 147, 3513, 11519, 7468, 8017, 106, 141, 2589, 1147, 6324, 488, 124, 131, 127, 130, 106, 143, 2295, 1147, 4151, 488, 124, 132, 124, 123, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 129, 126, 106, 141, 1136, 2295, 1147, 1135, 3781, 1116, 1320, 1130, 1884, 1161, 1252, 180, 4437, 180, 30687, 191, 109, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 150, 26929, 184, 13096, 27899, 190, 197, 236, 1276, 9845, 28859, 488, 124, 131, 127, 130, 1323, 4151, 488, 124, 132, 124, 123, 116, 1239, 1110, 29081, 11519, 10704, 13808, 6601, 13808, 1171, 12809, 2323, 121, 106, 106, 141, 180, 11114, 106, 152, 2461, 190, 197, 236, 1276, 1463, 9204, 1147, 1173, 197, 182, 2710, 3994, 172, 4419, 1246, 8755, 2710, 1109, 236, 1147, 25350, 1569, 1575, 116, 2127, 1110, 4772, 1161, 29081, 11519, 10971, 1139, 3367, 1406, 2670, 1135, 1306, 4938, 12579, 14377, 21162, 2133, 21605, 3876, 1355, 1135, 4017, 1161, 11890, 1301, 1182, 1446, 488, 124, 131, 129, 129, 1163, 488, 124, 131, 129, 132, 3703, 5994, 1149, 1110, 10375, 119, 1171, 2491, 10919, 1226, 2717, 29081, 11519, 18999, 1301, 2563, 3813, 1135, 1202, 1182, 3347, 3850, 106, 106, 147, 1120, 8717, 1626, 9932, 8492, 5849, 3733, 1296, 1765, 3838, 2876, 1375, 5585, 1163, 1135, 3854, 190, 1161, 1765, 1907, 1171, 12871, 1201, 5298, 13979, 6782, 1931, 7231, 7013, 1940, 4405, 1463, 8226, 1147, 2197, 20857, 1147, 488, 124, 131, 130, 127, 119, 2352, 2128, 3985, 6482, 197, 3118, 1206, 182, 7202, 145, 15909, 9105, 1663, 1341, 6312, 17986, 1189, 5022, 1310, 3078, 2544, 1110, 4013, 3162, 1386, 8627, 1226, 18999, 1301, 2563, 1663, 13993, 4433, 3945, 119, 1386, 11085, 1163, 1173, 2174, 5569, 1296, 1110, 6601, 22676, 1988, 1463, 1135, 488, 124, 131, 130, 132, 27357, 1161, 1173, 2174, 5569, 1302, 17818, 2667, 1163, 6071, 6888, 1302, 2098, 9750, 6435, 2667, 3945, 121, 106, 106, 1428, 488, 124, 131, 131, 124, 119, 1386, 9553, 1163, 11890, 1301, 1182, 1171, 7645, 1589, 1324, 1135, 6601, 3225, 190, 197, 236, 178, 6867, 1142, 236, 178, 7202, 174, 15619, 4817, 2343, 3107, 1171, 2017, 18999, 1301, 2996, 23907, 1641, 1765, 14582, 2025, 1644, 7965, 1663, 1386, 10874, 7905, 7015, 1171, 5298, 2629, 1135, 17260, 8150, 1235, 4968, 1124, 2548, 4095, 2068, 1510, 1324, 1204, 254, 189, 1321, 254, 182, 15862, 1386, 1463, 1704, 1161, 1135, 2481, 2729, 6595, 4767, 1297, 106, 106, 1428, 488, 124, 131, 131, 124, 119, 1386, 1463, 21247, 1110, 6644, 1161, 1135, 13272, 281, 22108, 13309, 4497, 1130, 281, 22108, 1198, 236, 13166, 1141, 236, 178, 116, 1171, 1147, 488, 124, 131, 131, 125, 1161, 1135, 1518, 1120, 177, 1132, 26062, 4911, 23631, 1459, 488, 124, 131, 131, 132, 119, 1386, 7905, 1110, 6644, 1161, 1135, 29081, 11519, 15567, 1161, 18116, 23311, 6226, 1765, 8717, 1626, 3945, 1346, 1386, 17032, 22959, 15943, 121, 2133, 17080, 1768, 15742, 1204, 1334, 3583, 1147, 488, 124, 131, 131, 125, 119, 1324, 13184, 1386, 2055, 3337, 1594, 1285, 1518, 26929, 184, 236, 6037, 1321, 13096, 5160, 1171, 13075, 121, 106, 106, 3466, 488, 1386, 7905, 1135, 10283, 1161, 1135, 11890, 1301, 1182, 8047, 4045, 114, 4911, 23631, 1459, 488, 124, 132, 123, 130, 119, 1386, 6971, 1135, 2511, 29053, 1446, 1135, 29081, 11519, 15567, 1161, 10850, 1226, 1765, 1870, 1297, 1459, 488, 124, 132, 124, 123, 119, 1386, 11030, 1589, 1135, 488, 127, 123, 1276, 27528, 1161, 1135, 10220, 1161, 1765, 8717, 1626, 3660, 1657, 2133, 2491, 17468, 4346, 1147, 1204, 236, 3394, 1124, 3377, 197, 1205, 1130, 1171, 12743, 1110, 4013, 5150, 6470, 1238, 1939, 7013, 3002, 1130, 1782, 1161, 1173, 197, 182, 2710, 3994, 172, 1463, 2674, 5417, 27899, 190, 197, 236, 1276, 177, 1132, 9269, 7202, 193, 4824, 1161, 27899, 190, 197, 236, 1276, 6012, 106, 106, 6937, 1765, 23493, 1182, 20211, 3939, 1386, 2302, 20195, 1135, 9622, 1161, 1381, 1141, 1701, 1171, 5774, 6963, 1296, 2632, 1296, 28712, 1212, 1151, 29806, 3330, 1302, 2098, 5624, 1147, 1765, 6470, 1870, 1297, 10789, 1161, 1765, 10704, 190, 2515, 2091, 1156, 2129, 18991, 11059, 1147, 1110, 1114, 1384, 1766, 1132, 1111, 21156, 3842, 7905, 20816, 11850, 1161, 1135, 1400, 1267, 22243, 1171, 1135, 9531, 8221, 1341, 12627, 1238, 29081, 11519, 2129, 23631, 106, 106, 152, 2461, 190, 197, 236, 1276, 1463, 1110, 6644, 1161, 1135, 29081, 11519, 2539, 5254, 7339, 1171, 1463, 21247, 1163, 1135, 29081, 11519, 4966, 28760, 1147, 488, 124, 131, 131, 130, 121, 106, 106, 14885, 190, 106, 109, 155, 1461, 21879, 1387, 1110, 2222, 197, 1219, 1119, 1523, 1449, 9819, 1558, 1198, 9242, 10248, 1112, 182, 1518, 180, 28281, 1810, 11890, 1301, 7965, 488, 125, 4802, 16794, 119, 488, 124, 131, 132, 126, 106, 106, 158, 3249, 106, 106, 151, 1141, 197, 1728, 1233, 1387, 1810, 29279, 15085, 1446, 1135, 6039, 133, 1518, 26929, 184, 13096, 27899, 190, 197, 236, 11202, 1147, 4159, 20226, 3603, 29081, 11519, 24411, 30159, 488, 124, 132, 129, 126, 119, 106, 106, 26722, 14520, 106, 106, 147, 3513, 11519, 15476, 1446, 1135, 488, 124, 132, 1276, 14851, 106, 147, 3513, 11519, 15476, 1446, 1135, 488, 125, 123, 1276, 14851, 106, 147, 3513, 11519, 7468, 8017, 106, 141, 2589, 1147, 6324, 488, 124, 131, 127, 130, 106, 143, 2295, 1147, 4151, 488, 124, 132, 124, 123, 106, 143, 2295, 1355, 1135, 7227, 1161, 488, 129, 126, 106, 141, 1136, 2295, 1147, 1135, 3781, 1116, 1320, 1130, 1884, 1161, 1252, 180, 4437, 180, 30687, 191, 109, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 19481, 1109, 1200, 1839, 1329, 1293, 4520, 9512, 8649, 173, 2323, 1165, 7490, 1292, 1146, 133, 14870, 9162, 21533, 364, 488, 334, 370, 354, 1329, 25097, 351, 387, 116, 1239, 1110, 20000, 8115, 8452, 15726, 1147, 1110, 5512, 1312, 11663, 1994, 4527, 1161, 5371, 1800, 10645, 1135, 5564, 1161, 8649, 173, 9236, 14835, 23763, 1910, 1239, 8452, 1147, 1135, 7389, 3258, 1161, 7626, 294, 175, 1651, 1183, 1171, 2019, 24986, 1910, 1147, 1135, 7389, 3258, 1161, 2397, 2452, 175, 1124, 2036, 106, 106, 12606, 106, 19481, 1109, 1200, 1839, 1239, 8452, 1147, 1135, 7080, 22629, 1994, 4527, 190, 1161, 5371, 11698, 121, 2192, 10920, 1156, 5457, 1239, 12035, 1156, 1449, 1135, 18959, 190, 1161, 26099, 9264, 1204, 1387, 1164, 1200, 1839, 1163, 1135, 10537, 119, 1518, 1255, 1259, 1154, 294, 1163, 1135, 10537, 194, 7965, 1321, 4520, 1109, 1780, 1171, 22926, 186, 1248, 1569, 1651, 5245, 1163, 1135, 1144, 7965, 5371, 180, 14937, 1387, 1163, 1135, 10553, 119, 1171, 1233, 1287, 1119, 181, 14937, 1387, 1163, 1135, 19718, 121, 1988, 1239, 8192, 1156, 1163, 1135, 10553, 1449, 1135, 1518, 4000, 294, 12775, 3912, 7248, 1171, 1163, 1135, 19718, 1449, 1135, 5371, 11698, 6488, 180, 288, 2533, 2850, 7890, 7289, 1119, 5646, 1254, 130, 128, 1576, 106, 106, 9588, 3972, 106, 19481, 1109, 1200, 1839, 119, 6459, 1269, 5388, 1296, 15605, 1651, 1293, 4520, 119, 1198, 13729, 1361, 1293, 4520, 119, 1329, 7908, 1293, 4520, 119, 1239, 3251, 1110, 2226, 5700, 5353, 1171, 1110, 20000, 8115, 1499, 7614, 488, 125, 123, 123, 26285, 1124, 1457, 1266, 1570, 3176, 1239, 9339, 183, 1569, 11320, 119, 1758, 9273, 1151, 3283, 5897, 3545, 5055, 6832, 4988, 134, 1341, 21642, 1110, 2226, 5700, 1147, 12886, 1161, 7626, 1289, 1451, 4357, 16903, 4357, 20196, 1651, 180, 267, 121, 106, 106, 19481, 1109, 1200, 1839, 1239, 21867, 2127, 5057, 1114, 16994, 133, 106, 19481, 1109, 1200, 1839, 119, 1147, 1110, 21437, 8000, 119, 26628, 1163, 1135, 24986, 1910, 1161, 1135, 1226, 17778, 1988, 1239, 8192, 1156, 1449, 1135, 3810, 2397, 1342, 16461, 12775, 269, 5778, 1169, 5778, 13243, 1171, 1239, 8452, 1147, 1135, 7389, 3258, 1161, 2397, 2452, 175, 1124, 2036, 1988, 18269, 2942, 2060, 1135, 3810, 30440, 1161, 25185, 294, 2289, 5778, 1498, 21216, 1171, 1135, 8333, 1161, 1233, 16362, 26099, 5778, 1171, 1222, 1839, 186, 9073, 2181, 106, 146, 4520, 119, 6459, 1269, 15605, 1651, 1293, 4520, 119, 10014, 4038, 1135, 8677, 1910, 1161, 1135, 1226, 17778, 1988, 8338, 2060, 1293, 14201, 2167, 4891, 11320, 119, 2910, 1135, 1233, 1287, 1119, 181, 3863, 1387, 1171, 25518, 8270, 1152, 28641, 6419, 1297, 106, 151, 1461, 1651, 5245, 7958, 1490, 1108, 10920, 4495, 1239, 8452, 10537, 1161, 1135, 1226, 7965, 1147, 2019, 4674, 29062, 2157, 10920, 1156, 8229, 4957, 1518, 4000, 294, 12775, 3912, 121, 1988, 2389, 1375, 1280, 1776, 5795, 1324, 1200, 1461, 1651, 5245, 22943, 7194, 9254, 5005, 172, 488, 288, 19093, 1200, 1461, 1651, 5245, 1496, 1758, 1239, 8452, 1147, 1135, 7389, 3258, 1161, 4173, 172, 2831, 193, 2181, 106, 106, 6797, 10831, 1171, 2490, 14570, 106, 19481, 1109, 1200, 1839, 1239, 3489, 1163, 1191, 1221, 1201, 1171, 2712, 1176, 20480, 5582, 1457, 106, 106, 144, 1263, 27798, 5582, 18977, 106, 142, 1156, 1124, 1175, 5395, 10444, 1116, 1156, 5567, 7502, 1116, 1156, 5567, 3000, 1811, 1116, 1156, 1124, 3628, 106, 142, 196, 3528, 6574, 2554, 2443, 4391, 3528, 3628, 106, 143, 1118, 27077, 17965, 134, 106, 158, 1327, 12272, 1175, 6251, 5995, 17031, 192, 7467, 2932, 1479, 16083, 2323, 1131, 7763, 6973, 12505, 1131, 7763, 2602, 1132, 1153, 2323, 17965, 3628, 106, 149, 1145, 7627, 7194, 13710, 17538, 7627, 3628, 106, 151, 2528, 7890, 7289, 1119, 1115, 2528, 3628, 106, 155, 1314, 7890, 7289, 1119, 5861, 1113, 3603, 1306, 5894, 1242, 1119, 1113, 3603, 4950, 7502, 1113, 1314, 1576, 106, 106, 8682, 1176, 20480, 5582, 18977, 106, 140, 2393, 1175, 14781, 1296, 179, 3628, 106, 141, 1187, 1210, 134, 106, 25056, 2032, 1502, 134, 106, 2330, 1182, 185, 1178, 1175, 14781, 22778, 1270, 1182, 185, 23046, 1270, 1182, 185, 1178, 3628, 106, 142, 12690, 16903, 134, 106, 152, 1203, 19809, 134, 106, 154, 1569, 5007, 1156, 1145, 2652, 1230, 1143, 22429, 4950, 4366, 1143, 1569, 3628, 106, 158, 1273, 2705, 172, 134, 106, 22498, 12580, 1175, 17503, 2761, 183, 5567, 5861, 2761, 12580, 3628, 106, 4887, 8707, 134, 106, 151, 1490, 1108, 134, 106, 147, 1992, 1140, 185, 1178, 1175, 3857, 197, 1199, 1314, 27345, 1140, 3628, 106, 162, 1132, 185, 1178, 1175, 17996, 1144, 1132, 185, 23046, 21044, 1144, 1132, 185, 1178, 3628, 106, 162, 1292, 1246, 1175, 17503, 1583, 1246, 1576, 106, 106, 1428, 7375, 1161, 2490, 1145, 1810, 1135, 20000, 1239, 3489, 1163, 1166, 5953, 1171, 1113, 1122, 1141, 5996, 106, 106, 141, 4807, 11114, 106, 24029, 149, 1651, 1119, 1651, 180, 267, 119, 12209, 161, 27311, 267, 5877, 180, 267, 133, 15605, 1651, 1293, 4520, 119, 488, 124, 132, 130, 130, 106, 106, 15581, 3258, 1161, 7626, 294, 175, 1651, 1183, 106, 3952, 1182, 1147, 8649, 173, 1575, 32001, 488, 106, 32000, 20036, 106, 19481, 1109, 1200, 1839, 1362, 1293, 4520, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 14870, 9162, 21533, 364, 488, 334, 370, 354, 1362, 25097, 351, 387, 116, 1299, 1189, 4742, 23672, 1107, 8446, 1256, 1282, 1224, 11157, 1313, 1189, 2490, 1287, 5288, 5512, 7743, 3410, 1140, 1125, 5371, 1800, 10645, 1158, 17128, 1125, 1158, 8649, 173, 4654, 6280, 3247, 1127, 1550, 175, 1231, 1366, 1281, 5209, 1313, 1158, 23361, 1125, 7626, 294, 175, 1651, 1183, 1167, 1561, 3247, 10600, 1129, 1164, 1105, 1366, 1313, 4421, 1125, 2397, 2452, 175, 1124, 2036, 106, 106, 15226, 5949, 488, 106, 19481, 1109, 1200, 1839, 1299, 8446, 1313, 1158, 5962, 10691, 1277, 18762, 1182, 1125, 5371, 11698, 121, 4060, 6233, 6141, 1303, 1299, 20669, 1303, 1215, 1207, 24808, 1125, 26099, 9264, 1204, 1387, 1164, 1200, 1839, 1317, 8030, 119, 1518, 1255, 1259, 1154, 294, 1317, 20449, 1118, 7965, 1321, 4520, 1109, 1780, 1167, 22926, 186, 1248, 1569, 1651, 5245, 1188, 1282, 1118, 7965, 5371, 180, 14937, 1387, 1317, 7758, 1167, 1233, 1287, 1119, 181, 14937, 1387, 1188, 1282, 17778, 1768, 1299, 3338, 1195, 1348, 1317, 7758, 1215, 1158, 5646, 1227, 1518, 4000, 294, 12775, 3912, 7041, 1188, 1282, 7965, 1215, 1282, 7373, 2734, 5371, 11698, 6488, 180, 288, 1175, 17496, 6923, 1254, 130, 128, 1576, 106, 106, 20616, 21198, 106, 19481, 1109, 1200, 1839, 119, 1574, 2462, 1517, 9918, 2290, 1170, 1874, 1125, 15605, 1651, 1293, 4520, 119, 1170, 1606, 1293, 4520, 1125, 1198, 13729, 3133, 1362, 7407, 1293, 4520, 119, 1299, 1188, 1158, 2768, 1189, 18836, 7520, 5700, 1167, 1189, 4742, 23672, 1107, 1357, 2368, 27563, 1300, 488, 125, 123, 123, 26285, 1124, 1457, 4511, 11793, 1281, 5209, 1158, 1600, 2316, 1125, 9339, 183, 22429, 1357, 1110, 19680, 1189, 6315, 3283, 3672, 1158, 22925, 12507, 10999, 2040, 2399, 1522, 2845, 1189, 7520, 5700, 1186, 4428, 12132, 1227, 1873, 29073, 1451, 4357, 16903, 4357, 20196, 1651, 180, 267, 121, 106, 106, 19481, 1109, 1200, 1839, 1299, 3754, 4160, 1186, 3171, 16974, 1257, 106, 19481, 1109, 1200, 1839, 119, 1313, 1318, 1332, 2092, 28205, 1109, 3212, 23490, 1158, 3247, 10600, 1129, 1164, 1105, 1366, 1125, 1158, 13996, 121, 3450, 1299, 3338, 11418, 1303, 1215, 1158, 5715, 5820, 2397, 1342, 16461, 12775, 269, 5778, 1169, 5778, 1167, 1299, 10019, 1313, 1158, 23361, 1125, 2397, 2452, 175, 1124, 2036, 3450, 2368, 27563, 1300, 1158, 5715, 1600, 2316, 1125, 1158, 25185, 294, 2289, 5778, 1498, 21216, 1167, 1300, 1207, 16974, 1125, 1233, 16362, 26099, 5778, 1167, 1222, 1839, 186, 9073, 2181, 106, 146, 4520, 119, 1574, 2462, 1517, 15605, 1651, 1293, 4520, 119, 10845, 1158, 3247, 13676, 1125, 1158, 13996, 121, 3450, 2368, 27563, 1300, 1158, 1600, 2316, 1125, 1293, 14201, 2167, 175, 2086, 1835, 1207, 1177, 9895, 1541, 1227, 1233, 1287, 1119, 181, 3863, 1387, 1167, 1125, 1158, 25518, 8270, 1152, 1259, 2036, 106, 151, 1461, 1651, 5245, 13037, 6141, 1125, 1111, 1415, 1203, 1299, 10019, 1317, 8030, 1125, 1158, 13996, 119, 1313, 1561, 3247, 1158, 2864, 29062, 2537, 6141, 2806, 1170, 2102, 1227, 1518, 4000, 294, 12775, 3912, 121, 3450, 1288, 3233, 1382, 1823, 30996, 1277, 1469, 1158, 2544, 2657, 1125, 1200, 1461, 1651, 5245, 7194, 9254, 5005, 172, 488, 288, 19093, 1200, 1461, 1651, 5245, 1496, 1357, 18001, 23320, 10019, 1313, 1158, 23361, 1125, 4173, 172, 2831, 193, 2181, 106, 106, 6797, 1345, 1167, 2490, 1515, 106, 19481, 1109, 1200, 1839, 1522, 2845, 1197, 1191, 1221, 2805, 1167, 1197, 18963, 1188, 17470, 3482, 192, 12041, 106, 106, 2233, 3576, 1188, 17470, 31825, 2972, 1257, 106, 142, 243, 13976, 3471, 243, 13976, 1125, 1282, 5395, 183, 4277, 1116, 243, 13976, 7207, 119, 1116, 243, 13976, 1188, 2170, 1462, 116, 2040, 106, 142, 196, 2136, 3471, 196, 2136, 1125, 7432, 2443, 116, 2040, 106, 158, 1301, 1109, 1125, 10341, 27077, 2040, 106, 158, 1301, 1109, 3615, 1301, 1109, 1227, 11681, 1217, 2086, 13792, 1109, 1125, 1165, 244, 1479, 16083, 2620, 13792, 1109, 1125, 6973, 1712, 6037, 13792, 1109, 1304, 5675, 29056, 1214, 116, 2040, 106, 18843, 2963, 1175, 8408, 2963, 16877, 116, 2040, 106, 152, 10211, 2174, 4880, 10211, 2174, 22572, 116, 2040, 106, 155, 1109, 5007, 1109, 7272, 6348, 1136, 10463, 15212, 1125, 18163, 5894, 1242, 1810, 15212, 7207, 5519, 18337, 1576, 106, 106, 2233, 3576, 1188, 17470, 3482, 192, 1485, 1257, 106, 22448, 245, 1245, 1175, 1885, 245, 1245, 2028, 116, 2040, 106, 141, 14274, 1334, 2040, 106, 157, 1383, 1109, 1374, 17987, 120, 1183, 1183, 1575, 2040, 106, 2330, 237, 3113, 1442, 1374, 4880, 2677, 31628, 2028, 119, 28128, 3113, 1442, 1374, 116, 2040, 106, 152, 1146, 1237, 1118, 4618, 16341, 1132, 2040, 106, 145, 1833, 1374, 5519, 18337, 2040, 106, 3956, 1128, 2988, 2040, 106, 224, 26397, 1175, 11413, 2678, 1965, 1253, 26397, 2347, 1437, 1345, 116, 2040, 106, 152, 261, 2408, 2040, 106, 2330, 245, 1245, 19588, 245, 1245, 9304, 1986, 1203, 2357, 1270, 245, 1245, 10293, 5519, 18337, 116, 2040, 106, 158, 1273, 2705, 172, 2040, 106, 155, 14387, 1291, 1374, 1175, 1326, 192, 1291, 1374, 7207, 119, 1996, 1291, 1374, 7272, 116, 2040, 106, 158, 10584, 1374, 1197, 21538, 5166, 2040, 106, 159, 1415, 1203, 2040, 106, 142, 12690, 16903, 2040, 106, 5403, 1439, 4688, 1125, 5535, 197, 1336, 2040, 106, 153, 4631, 4419, 4631, 7272, 119, 1139, 4631, 21044, 116, 2040, 106, 158, 30359, 3615, 30359, 7207, 1576, 106, 106, 15531, 1170, 2678, 1125, 1158, 2490, 21165, 1158, 13996, 1522, 2845, 1197, 1771, 23791, 1167, 1197, 4312, 13609, 106, 106, 141, 13449, 106, 24029, 149, 1651, 1119, 1651, 180, 267, 119, 12209, 161, 27311, 267, 5877, 180, 267, 133, 15605, 1651, 1293, 4520, 119, 488, 124, 132, 130, 130, 106, 106, 15581, 1902, 1125, 7626, 294, 175, 1651, 1183, 106, 3952, 2657, 1186, 8649, 22587, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 19481, 1109, 1200, 1839, 1362, 1293, 4520, 7216, 1714, 1897, 4391, 25024, 1460, 1257, 14870, 9162, 21533, 364, 488, 334, 370, 354, 1362, 25097, 351, 387, 116, 1299, 1189, 4742, 23672, 1107, 8446, 1256, 1282, 1224, 11157, 1313, 1189, 2490, 1287, 5288, 5512, 7743, 3410, 1140, 1125, 5371, 1800, 10645, 1158, 17128, 1125, 1158, 8649, 173, 4654, 6280, 3247, 1127, 1550, 175, 1231, 1366, 1281, 5209, 1313, 1158, 23361, 1125, 7626, 294, 175, 1651, 1183, 1167, 1561, 3247, 10600, 1129, 1164, 1105, 1366, 1313, 4421, 1125, 2397, 2452, 175, 1124, 2036, 106, 106, 15226, 5949, 488, 106, 19481, 1109, 1200, 1839, 1299, 8446, 1313, 1158, 5962, 10691, 1277, 18762, 1182, 1125, 5371, 11698, 121, 4060, 6233, 6141, 1303, 1299, 20669, 1303, 1215, 1207, 24808, 1125, 26099, 9264, 1204, 1387, 1164, 1200, 1839, 1317, 8030, 119, 1518, 1255, 1259, 1154, 294, 1317, 20449, 1118, 7965, 1321, 4520, 1109, 1780, 1167, 22926, 186, 1248, 1569, 1651, 5245, 1188, 1282, 1118, 7965, 5371, 180, 14937, 1387, 1317, 7758, 1167, 1233, 1287, 1119, 181, 14937, 1387, 1188, 1282, 17778, 1768, 1299, 3338, 1195, 1348, 1317, 7758, 1215, 1158, 5646, 1227, 1518, 4000, 294, 12775, 3912, 7041, 1188, 1282, 7965, 1215, 1282, 7373, 2734, 5371, 11698, 6488, 180, 288, 1175, 17496, 6923, 1254, 130, 128, 1576, 106, 106, 20616, 21198, 106, 19481, 1109, 1200, 1839, 119, 1574, 2462, 1517, 9918, 2290, 1170, 1874, 1125, 15605, 1651, 1293, 4520, 119, 1170, 1606, 1293, 4520, 1125, 1198, 13729, 3133, 1362, 7407, 1293, 4520, 119, 1299, 1188, 1158, 2768, 1189, 18836, 7520, 5700, 1167, 1189, 4742, 23672, 1107, 1357, 2368, 27563, 1300, 488, 125, 123, 123, 26285, 1124, 1457, 4511, 11793, 1281, 5209, 1158, 1600, 2316, 1125, 9339, 183, 22429, 1357, 1110, 19680, 1189, 6315, 3283, 3672, 1158, 22925, 12507, 10999, 2040, 2399, 1522, 2845, 1189, 7520, 5700, 1186, 4428, 12132, 1227, 1873, 29073, 1451, 4357, 16903, 4357, 20196, 1651, 180, 267, 121, 106, 106, 19481, 1109, 1200, 1839, 1299, 3754, 4160, 1186, 3171, 16974, 1257, 106, 19481, 1109, 1200, 1839, 119, 1313, 1318, 1332, 2092, 28205, 1109, 3212, 23490, 1158, 3247, 10600, 1129, 1164, 1105, 1366, 1125, 1158, 13996, 121, 3450, 1299, 3338, 11418, 1303, 1215, 1158, 5715, 5820, 2397, 1342, 16461, 12775, 269, 5778, 1169, 5778, 1167, 1299, 10019, 1313, 1158, 23361, 1125, 2397, 2452, 175, 1124, 2036, 3450, 2368, 27563, 1300, 1158, 5715, 1600, 2316, 1125, 1158, 25185, 294, 2289, 5778, 1498, 21216, 1167, 1300, 1207, 16974, 1125, 1233, 16362, 26099, 5778, 1167, 1222, 1839, 186, 9073, 2181, 106, 146, 4520, 119, 1574, 2462, 1517, 15605, 1651, 1293, 4520, 119, 10845, 1158, 3247, 13676, 1125, 1158, 13996, 121, 3450, 2368, 27563, 1300, 1158, 1600, 2316, 1125, 1293, 14201, 2167, 175, 2086, 1835, 1207, 1177, 9895, 1541, 1227, 1233, 1287, 1119, 181, 3863, 1387, 1167, 1125, 1158, 25518, 8270, 1152, 1259, 2036, 106, 151, 1461, 1651, 5245, 13037, 6141, 1125, 1111, 1415, 1203, 1299, 10019, 1317, 8030, 1125, 1158, 13996, 119, 1313, 1561, 3247, 1158, 2864, 29062, 2537, 6141, 2806, 1170, 2102, 1227, 1518, 4000, 294, 12775, 3912, 121, 3450, 1288, 3233, 1382, 1823, 30996, 1277, 1469, 1158, 2544, 2657, 1125, 1200, 1461, 1651, 5245, 7194, 9254, 5005, 172, 488, 288, 19093, 1200, 1461, 1651, 5245, 1496, 1357, 18001, 23320, 10019, 1313, 1158, 23361, 1125, 4173, 172, 2831, 193, 2181, 106, 106, 6797, 1345, 1167, 2490, 1515, 106, 19481, 1109, 1200, 1839, 1522, 2845, 1197, 1191, 1221, 2805, 1167, 1197, 18963, 1188, 17470, 3482, 192, 12041, 106, 106, 2233, 3576, 1188, 17470, 31825, 2972, 1257, 106, 142, 243, 13976, 3471, 243, 13976, 1125, 1282, 5395, 183, 4277, 1116, 243, 13976, 7207, 119, 1116, 243, 13976, 1188, 2170, 1462, 116, 2040, 106, 142, 196, 2136, 3471, 196, 2136, 1125, 7432, 2443, 116, 2040, 106, 158, 1301, 1109, 1125, 10341, 27077, 2040, 106, 158, 1301, 1109, 3615, 1301, 1109, 1227, 11681, 1217, 2086, 13792, 1109, 1125, 1165, 244, 1479, 16083, 2620, 13792, 1109, 1125, 6973, 1712, 6037, 13792, 1109, 1304, 5675, 29056, 1214, 116, 2040, 106, 18843, 2963, 1175, 8408, 2963, 16877, 116, 2040, 106, 152, 10211, 2174, 4880, 10211, 2174, 22572, 116, 2040, 106, 155, 1109, 5007, 1109, 7272, 6348, 1136, 10463, 15212, 1125, 18163, 5894, 1242, 1810, 15212, 7207, 5519, 18337, 1576, 106, 106, 2233, 3576, 1188, 17470, 3482, 192, 1485, 1257, 106, 22448, 245, 1245, 1175, 1885, 245, 1245, 2028, 116, 2040, 106, 141, 14274, 1334, 2040, 106, 157, 1383, 1109, 1374, 17987, 120, 1183, 1183, 1575, 2040, 106, 2330, 237, 3113, 1442, 1374, 4880, 2677, 31628, 2028, 119, 28128, 3113, 1442, 1374, 116, 2040, 106, 152, 1146, 1237, 1118, 4618, 16341, 1132, 2040, 106, 145, 1833, 1374, 5519, 18337, 2040, 106, 3956, 1128, 2988, 2040, 106, 224, 26397, 1175, 11413, 2678, 1965, 1253, 26397, 2347, 1437, 1345, 116, 2040, 106, 152, 261, 2408, 2040, 106, 2330, 245, 1245, 19588, 245, 1245, 9304, 1986, 1203, 2357, 1270, 245, 1245, 10293, 5519, 18337, 116, 2040, 106, 158, 1273, 2705, 172, 2040, 106, 155, 14387, 1291, 1374, 1175, 1326, 192, 1291, 1374, 7207, 119, 1996, 1291, 1374, 7272, 116, 2040, 106, 158, 10584, 1374, 1197, 21538, 5166, 2040, 106, 159, 1415, 1203, 2040, 106, 142, 12690, 16903, 2040, 106, 5403, 1439, 4688, 1125, 5535, 197, 1336, 2040, 106, 153, 4631, 4419, 4631, 7272, 119, 1139, 4631, 21044, 116, 2040, 106, 158, 30359, 3615, 30359, 7207, 1576, 106, 106, 15531, 1170, 2678, 1125, 1158, 2490, 21165, 1158, 13996, 1522, 2845, 1197, 1771, 23791, 1167, 1197, 4312, 13609, 106, 106, 141, 13449, 106, 24029, 149, 1651, 1119, 1651, 180, 267, 119, 12209, 161, 27311, 267, 5877, 180, 267, 133, 15605, 1651, 1293, 4520, 119, 488, 124, 132, 130, 130, 106, 106, 15581, 1902, 1125, 7626, 294, 175, 1651, 1183, 106, 3952, 2657, 1186, 8649, 22587, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 24057, 106, 106, 149, 1515, 488, 125, 131, 119, 2315, 133, 8619, 17921, 1124, 5161, 1110, 8017, 1161, 1135, 1266, 1301, 1731, 15845, 6181, 8616, 2491, 1161, 1135, 2539, 5254, 16035, 3545, 1135, 10764, 4078, 1171, 1161, 1135, 2762, 1565, 1119, 16035, 3545, 1135, 6942, 3335, 2528, 1762, 16144, 1161, 1270, 1172, 2960, 134, 106, 106, 149, 1515, 488, 125, 119, 2315, 133, 1410, 4560, 5254, 1161, 1135, 2762, 1565, 1119, 2406, 1122, 9092, 2323, 2605, 2842, 2038, 7494, 5596, 14859, 1147, 1110, 1227, 3561, 15488, 1163, 1110, 3564, 2762, 1565, 1119, 13583, 2064, 1110, 1578, 183, 2394, 1163, 1135, 1704, 1302, 1583, 5876, 1135, 4560, 5254, 1161, 8619, 17921, 16273, 3337, 5150, 4123, 1657, 106, 106, 149, 1515, 488, 126, 133, 10676, 31810, 13414, 8024, 26827, 10973, 2368, 1174, 1632, 4095, 106, 106, 149, 1515, 488, 126, 120, 127, 119, 2315, 133, 1222, 2547, 1224, 1161, 5763, 1857, 24257, 1151, 1426, 7434, 1149, 1147, 27599, 2806, 10664, 1928, 1942, 1156, 1449, 8619, 1222, 2719, 1986, 9604, 1361, 12954, 1273, 1297, 106, 106, 149, 1515, 488, 127, 133, 1410, 1863, 1434, 4862, 9429, 1135, 2626, 1163, 7596, 1163, 1135, 9324, 10638, 30071, 1988, 24247, 1135, 15654, 1161, 1135, 13586, 22517, 1214, 2060, 1135, 1139, 3367, 8389, 106, 5602, 1182, 19158, 1161, 1135, 14202, 1121, 5848, 1758, 9336, 1446, 488, 128, 112, 1163, 488, 130, 112, 1161, 1135, 7794, 18371, 5740, 134, 3991, 26081, 1161, 1235, 9509, 1665, 1138, 1121, 2582, 8264, 134, 27384, 11185, 2935, 15916, 1147, 16194, 121, 1410, 4985, 1156, 1400, 1267, 22243, 13601, 2910, 488, 126, 124, 112, 1171, 488, 126, 131, 112, 1161, 1135, 23975, 1161, 1135, 6842, 1161, 26909, 1446, 488, 124, 131, 126, 124, 1163, 488, 124, 131, 129, 128, 119, 10573, 3337, 14339, 1516, 1201, 2043, 13222, 5641, 1161, 1135, 1185, 3814, 1762, 2884, 1806, 4945, 1135, 488, 124, 131, 131, 123, 1285, 8617, 2563, 4592, 1210, 4886, 1171, 2017, 21864, 1560, 1375, 11589, 1110, 13191, 1161, 1135, 22196, 121, 9244, 6681, 1161, 1135, 31847, 5641, 1393, 19544, 1156, 1446, 1135, 1400, 1267, 1237, 2451, 2305, 106, 106, 149, 1515, 488, 128, 133, 3335, 17824, 3876, 1147, 8996, 3282, 121, 1233, 7963, 1161, 1135, 8996, 2323, 7962, 121, 106, 106, 149, 1515, 488, 128, 119, 488, 129, 119, 1171, 488, 130, 119, 2315, 133, 1248, 180, 2707, 3756, 1656, 3545, 1135, 4560, 5254, 1161, 8619, 17921, 1124, 5161, 1110, 2762, 1565, 1119, 1125, 1481, 2305, 25987, 1161, 1135, 16888, 29737, 2324, 1517, 7526, 2801, 1239, 12627, 2670, 26720, 17659, 1410, 12016, 10664, 1978, 1925, 4447, 121, 1410, 2730, 1161, 26720, 1315, 2977, 190, 4945, 6384, 488, 125, 132, 121, 106, 106, 149, 1515, 488, 129, 1329, 488, 130, 133, 1248, 2035, 1153, 1128, 17603, 1135, 9197, 4468, 1322, 196, 1147, 9485, 7933, 1783, 2559, 15291, 116, 2468, 1386, 2055, 4246, 1163, 6329, 1656, 17247, 4279, 189, 8255, 2000, 2055, 7620, 1109, 2754, 1163, 20369, 8200, 27728, 4873, 12161, 1248, 1255, 1500, 1161, 2811, 2707, 1147, 2801, 11655, 121, 106, 106, 149, 1515, 488, 130, 133, 106, 2029, 2580, 16983, 133, 6842, 1161, 1200, 8799, 5980, 190, 1135, 1863, 1434, 4862, 121, 106, 145, 5762, 133, 5011, 1161, 26720, 1315, 1239, 1223, 14682, 3078, 18136, 1201, 23980, 10676, 19048, 16497, 11286, 121, 106, 106, 149, 1515, 488, 131, 119, 2315, 133, 6580, 16458, 1161, 15521, 1293, 16740, 1147, 1198, 4954, 1457, 106, 106, 149, 1515, 488, 124, 129, 119, 2315, 133, 1922, 5853, 1161, 1539, 1230, 24321, 1164, 1265, 133, 25766, 1161, 5145, 1376, 7306, 1149, 4064, 1135, 6515, 1161, 1135, 5011, 2546, 1386, 1239, 12627, 1147, 1578, 1549, 1761, 1125, 4049, 1226, 1905, 13478, 17147, 5150, 1147, 1135, 14447, 1525, 1161, 5855, 1578, 5748, 1293, 1120, 1134, 4746, 106, 106, 149, 1515, 488, 125, 126, 133, 10676, 31810, 11632, 1104, 8024, 26827, 10973, 2368, 1174, 1632, 4095, 106, 149, 1515, 488, 125, 131, 119, 2315, 133, 1410, 1498, 2064, 4639, 2662, 1324, 28571, 2982, 30825, 20108, 14272, 2667, 1147, 18096, 3802, 21194, 106, 106, 149, 1515, 488, 126, 123, 119, 2315, 133, 1192, 2081, 4613, 4019, 1433, 2824, 7237, 7151, 1336, 1638, 1701, 15144, 1163, 1539, 1230, 24321, 1164, 1265, 121, 106, 106, 141, 7963, 190, 106, 106, 149, 1515, 488, 124, 127, 133, 18965, 9177, 1153, 20312, 186, 1175, 1331, 1156, 6324, 488, 125, 129, 119, 488, 124, 131, 132, 124, 1496, 7927, 17497, 11080, 7070, 106, 149, 1515, 488, 124, 130, 133, 18988, 7451, 9282, 1387, 1346, 9324, 11080, 1121, 4250, 121, 488, 124, 132, 124, 132, 1576, 106, 149, 1515, 488, 125, 124, 133, 27138, 12282, 16781, 9324, 4784, 8600, 1267, 4250, 121, 488, 124, 132, 125, 128, 1576, 106, 106, 2524, 1495, 190, 106, 106, 149, 1515, 488, 124, 127, 133, 106, 24338, 1214, 4101, 1118, 1439, 2358, 2009, 6256, 2589, 6384, 488, 124, 127, 119, 488, 124, 130, 126, 125, 1496, 5947, 12910, 2630, 1108, 1662, 6871, 106, 141, 1608, 1379, 7422, 1165, 2251, 2988, 186, 6256, 2589, 6678, 488, 125, 123, 119, 488, 124, 130, 127, 126, 1496, 9197, 6970, 1161, 1135, 20536, 1171, 14377, 21162, 106, 149, 1515, 488, 125, 126, 133, 8590, 9271, 6256, 2589, 488, 124, 130, 129, 124, 1496, 30628, 6180, 25188, 1171, 6517, 1146, 22676, 106, 149, 1515, 488, 125, 128, 133, 1772, 11769, 9259, 177, 9905, 1293, 3940, 1977, 6256, 2589, 488, 124, 130, 128, 129, 1496, 30908, 1119, 2406, 1122, 9092, 2323, 1171, 6517, 1146, 22676, 106, 106, 20634, 1171, 22874, 32001, 488, 106, 32000, 20036, 106, 224, 28716, 106, 106, 125, 131, 9353, 2982, 2315, 1257, 106, 1170, 4610, 17921, 1124, 5161, 8017, 1125, 10241, 1273, 1303, 1139, 31846, 14662, 2648, 1125, 1271, 15511, 2539, 11038, 2290, 1158, 19332, 1162, 1167, 1125, 1271, 15511, 22930, 2100, 2290, 1158, 3335, 2528, 1214, 1125, 27068, 119, 19859, 1227, 1270, 1172, 1797, 134, 106, 106, 488, 125, 2798, 119, 2315, 1257, 1271, 1129, 4260, 1160, 1227, 8287, 244, 9092, 1354, 22930, 1262, 2605, 2842, 2038, 7494, 5596, 30893, 2391, 2134, 1227, 3561, 5714, 3601, 1188, 1189, 2511, 13579, 27515, 22930, 1262, 29090, 2394, 1188, 3977, 1357, 21837, 2960, 1207, 13214, 27019, 1227, 4610, 17921, 1124, 5161, 3203, 3617, 1408, 7959, 121, 106, 106, 488, 126, 2798, 1257, 10676, 31810, 8718, 1548, 10973, 2368, 1174, 17847, 106, 106, 488, 126, 1323, 488, 127, 2798, 119, 2315, 1257, 22720, 1125, 7340, 19824, 1125, 1158, 27599, 1303, 1215, 1158, 1227, 2942, 1206, 1125, 1233, 4166, 1762, 24456, 2537, 4104, 2965, 1303, 1215, 1207, 21863, 1227, 4610, 1222, 2719, 1986, 1157, 2771, 106, 106, 488, 127, 2798, 1257, 1170, 1863, 1434, 4862, 6574, 1593, 1125, 1169, 5434, 4407, 18212, 116, 5714, 1170, 3090, 1125, 7596, 1188, 1158, 5971, 8468, 11181, 7165, 3855, 1158, 5552, 1125, 3937, 1125, 1158, 13586, 22517, 1214, 1300, 1158, 30185, 14340, 106, 1204, 3524, 1148, 19158, 1125, 5259, 29430, 3683, 1357, 4212, 1125, 488, 128, 1188, 488, 130, 2199, 1125, 1158, 5740, 27618, 17072, 1314, 2040, 3991, 26081, 1197, 1606, 31741, 190, 1256, 4720, 1524, 2040, 5294, 5434, 1227, 4367, 5279, 11185, 1186, 1209, 21511, 121, 2814, 1124, 1267, 6358, 4094, 1794, 1164, 2794, 11404, 1835, 488, 126, 124, 2199, 1167, 488, 126, 131, 2199, 1197, 21353, 1197, 2772, 4519, 1125, 488, 124, 131, 126, 124, 1188, 488, 124, 131, 129, 128, 119, 5639, 1197, 3203, 1179, 8752, 1186, 1251, 8986, 1199, 1207, 4634, 1125, 1158, 1185, 3814, 1762, 11781, 1309, 5178, 1541, 4092, 488, 124, 131, 131, 123, 119, 1207, 5962, 1134, 11184, 5997, 5989, 1167, 2905, 21864, 1288, 20040, 1129, 1382, 1170, 16121, 1197, 23565, 1297, 6487, 1125, 1158, 13624, 1197, 4634, 1227, 31847, 1508, 9948, 1178, 1234, 1313, 10145, 1267, 6358, 1117, 2596, 106, 106, 488, 128, 2798, 1257, 3650, 29624, 1186, 8996, 7165, 1266, 3400, 1227, 7962, 2729, 17659, 106, 106, 488, 128, 119, 488, 129, 1167, 488, 130, 2798, 119, 2315, 1257, 1253, 1232, 4038, 4106, 4928, 1473, 1188, 11723, 1197, 13214, 27019, 1227, 4610, 17921, 1124, 5161, 20653, 22930, 11431, 1233, 1514, 1415, 1227, 1165, 1728, 20534, 16888, 1107, 23895, 2801, 1299, 3902, 1186, 8142, 1125, 9209, 121, 1548, 12956, 20861, 9568, 1158, 4356, 1186, 2274, 121, 2576, 7549, 1125, 9209, 22374, 15545, 488, 125, 132, 2798, 121, 106, 106, 488, 129, 1362, 488, 130, 2798, 1257, 1248, 2035, 1153, 1128, 21180, 1282, 2724, 18642, 1125, 2315, 1188, 20024, 7933, 1783, 2559, 1561, 1278, 116, 2585, 1527, 3031, 19357, 1114, 7093, 17247, 4279, 189, 8255, 1357, 3618, 30634, 2357, 1256, 6728, 5511, 1188, 8200, 27728, 4873, 12161, 2502, 1110, 10266, 1197, 1253, 1232, 4038, 1188, 18994, 106, 106, 488, 130, 2798, 1257, 106, 21144, 1257, 1158, 15890, 1197, 1115, 8799, 7988, 1170, 1863, 1434, 4862, 121, 106, 2315, 1257, 15623, 1125, 9209, 1299, 1223, 10308, 3502, 1808, 15644, 1925, 15621, 5749, 10676, 19048, 16497, 11286, 4364, 106, 106, 488, 131, 2798, 119, 2315, 1257, 2438, 9274, 5956, 1125, 15521, 1293, 16740, 1188, 1198, 4954, 1104, 1939, 106, 106, 488, 124, 129, 2798, 119, 2315, 1257, 3483, 14623, 1125, 1539, 1230, 24321, 1164, 1265, 1257, 2260, 8317, 1125, 5145, 1376, 7029, 2714, 1158, 5716, 18407, 1125, 17902, 1523, 1527, 1299, 18513, 1186, 28452, 25323, 1761, 1318, 14599, 197, 2100, 1125, 3617, 1313, 1207, 3851, 13098, 1227, 20568, 1125, 5855, 1293, 1120, 9871, 106, 106, 488, 125, 126, 2798, 1257, 10676, 31810, 20235, 1548, 10973, 2368, 1174, 17847, 106, 106, 488, 125, 131, 2798, 119, 2315, 1257, 1170, 10973, 4639, 2636, 1125, 28571, 2982, 1170, 17484, 5956, 1160, 1186, 18096, 3802, 1298, 106, 106, 488, 126, 123, 2798, 119, 2315, 1257, 1318, 29254, 1125, 2081, 2992, 2466, 5931, 1158, 9110, 1188, 1539, 1230, 24321, 1164, 1265, 121, 106, 106, 153, 2532, 2339, 106, 106, 124, 127, 2798, 1257, 18965, 9177, 1153, 20312, 186, 4880, 1249, 1170, 488, 125, 129, 2749, 488, 124, 131, 132, 124, 1496, 11080, 1929, 20581, 10816, 106, 124, 130, 2798, 1257, 18988, 7451, 9282, 1387, 1346, 11080, 1929, 14898, 28325, 488, 124, 132, 124, 132, 1576, 106, 125, 124, 2798, 1257, 27138, 12282, 16781, 1110, 6551, 1669, 2038, 14898, 28325, 488, 124, 132, 125, 128, 1576, 106, 106, 31133, 1467, 106, 106, 124, 127, 2798, 1257, 488, 106, 7980, 4101, 1118, 1439, 2358, 2009, 4419, 1303, 1170, 488, 124, 127, 2798, 488, 124, 130, 126, 125, 1496, 2630, 1108, 1369, 22256, 7269, 106, 13949, 7422, 1165, 2251, 2988, 186, 24051, 1170, 488, 125, 123, 3201, 488, 124, 130, 127, 126, 1496, 4610, 2720, 1125, 1158, 12759, 1167, 1125, 5891, 26875, 106, 488, 125, 126, 2798, 1257, 8590, 9271, 24051, 1186, 488, 124, 130, 129, 124, 1496, 6431, 12671, 1167, 6517, 10558, 2609, 3377, 21194, 106, 488, 125, 128, 2798, 1257, 1772, 11769, 9259, 177, 9905, 1293, 3940, 1977, 24051, 1186, 488, 124, 130, 128, 129, 1496, 8287, 244, 9092, 1354, 1167, 6517, 10558, 1574, 7478, 26352, 106, 106, 20634, 1167, 5474, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 224, 28716, 106, 106, 125, 131, 9353, 2982, 2315, 1257, 106, 1170, 4610, 17921, 1124, 5161, 8017, 1125, 10241, 1273, 1303, 1139, 31846, 14662, 2648, 1125, 1271, 15511, 2539, 11038, 2290, 1158, 19332, 1162, 1167, 1125, 1271, 15511, 22930, 2100, 2290, 1158, 3335, 2528, 1214, 1125, 27068, 119, 19859, 1227, 1270, 1172, 1797, 134, 106, 106, 488, 125, 2798, 119, 2315, 1257, 1271, 1129, 4260, 1160, 1227, 8287, 244, 9092, 1354, 22930, 1262, 2605, 2842, 2038, 7494, 5596, 30893, 2391, 2134, 1227, 3561, 5714, 3601, 1188, 1189, 2511, 13579, 27515, 22930, 1262, 29090, 2394, 1188, 3977, 1357, 21837, 2960, 1207, 13214, 27019, 1227, 4610, 17921, 1124, 5161, 3203, 3617, 1408, 7959, 121, 106, 106, 488, 126, 2798, 1257, 10676, 31810, 8718, 1548, 10973, 2368, 1174, 17847, 106, 106, 488, 126, 1323, 488, 127, 2798, 119, 2315, 1257, 22720, 1125, 7340, 19824, 1125, 1158, 27599, 1303, 1215, 1158, 1227, 2942, 1206, 1125, 1233, 4166, 1762, 24456, 2537, 4104, 2965, 1303, 1215, 1207, 21863, 1227, 4610, 1222, 2719, 1986, 1157, 2771, 106, 106, 488, 127, 2798, 1257, 1170, 1863, 1434, 4862, 6574, 1593, 1125, 1169, 5434, 4407, 18212, 116, 5714, 1170, 3090, 1125, 7596, 1188, 1158, 5971, 8468, 11181, 7165, 3855, 1158, 5552, 1125, 3937, 1125, 1158, 13586, 22517, 1214, 1300, 1158, 30185, 14340, 106, 1204, 3524, 1148, 19158, 1125, 5259, 29430, 3683, 1357, 4212, 1125, 488, 128, 1188, 488, 130, 2199, 1125, 1158, 5740, 27618, 17072, 1314, 2040, 3991, 26081, 1197, 1606, 31741, 190, 1256, 4720, 1524, 2040, 5294, 5434, 1227, 4367, 5279, 11185, 1186, 1209, 21511, 121, 2814, 1124, 1267, 6358, 4094, 1794, 1164, 2794, 11404, 1835, 488, 126, 124, 2199, 1167, 488, 126, 131, 2199, 1197, 21353, 1197, 2772, 4519, 1125, 488, 124, 131, 126, 124, 1188, 488, 124, 131, 129, 128, 119, 5639, 1197, 3203, 1179, 8752, 1186, 1251, 8986, 1199, 1207, 4634, 1125, 1158, 1185, 3814, 1762, 11781, 1309, 5178, 1541, 4092, 488, 124, 131, 131, 123, 119, 1207, 5962, 1134, 11184, 5997, 5989, 1167, 2905, 21864, 1288, 20040, 1129, 1382, 1170, 16121, 1197, 23565, 1297, 6487, 1125, 1158, 13624, 1197, 4634, 1227, 31847, 1508, 9948, 1178, 1234, 1313, 10145, 1267, 6358, 1117, 2596, 106, 106, 488, 128, 2798, 1257, 3650, 29624, 1186, 8996, 7165, 1266, 3400, 1227, 7962, 2729, 17659, 106, 106, 488, 128, 119, 488, 129, 1167, 488, 130, 2798, 119, 2315, 1257, 1253, 1232, 4038, 4106, 4928, 1473, 1188, 11723, 1197, 13214, 27019, 1227, 4610, 17921, 1124, 5161, 20653, 22930, 11431, 1233, 1514, 1415, 1227, 1165, 1728, 20534, 16888, 1107, 23895, 2801, 1299, 3902, 1186, 8142, 1125, 9209, 121, 1548, 12956, 20861, 9568, 1158, 4356, 1186, 2274, 121, 2576, 7549, 1125, 9209, 22374, 15545, 488, 125, 132, 2798, 121, 106, 106, 488, 129, 1362, 488, 130, 2798, 1257, 1248, 2035, 1153, 1128, 21180, 1282, 2724, 18642, 1125, 2315, 1188, 20024, 7933, 1783, 2559, 1561, 1278, 116, 2585, 1527, 3031, 19357, 1114, 7093, 17247, 4279, 189, 8255, 1357, 3618, 30634, 2357, 1256, 6728, 5511, 1188, 8200, 27728, 4873, 12161, 2502, 1110, 10266, 1197, 1253, 1232, 4038, 1188, 18994, 106, 106, 488, 130, 2798, 1257, 106, 21144, 1257, 1158, 15890, 1197, 1115, 8799, 7988, 1170, 1863, 1434, 4862, 121, 106, 2315, 1257, 15623, 1125, 9209, 1299, 1223, 10308, 3502, 1808, 15644, 1925, 15621, 5749, 10676, 19048, 16497, 11286, 4364, 106, 106, 488, 131, 2798, 119, 2315, 1257, 2438, 9274, 5956, 1125, 15521, 1293, 16740, 1188, 1198, 4954, 1104, 1939, 106, 106, 488, 124, 129, 2798, 119, 2315, 1257, 3483, 14623, 1125, 1539, 1230, 24321, 1164, 1265, 1257, 2260, 8317, 1125, 5145, 1376, 7029, 2714, 1158, 5716, 18407, 1125, 17902, 1523, 1527, 1299, 18513, 1186, 28452, 25323, 1761, 1318, 14599, 197, 2100, 1125, 3617, 1313, 1207, 3851, 13098, 1227, 20568, 1125, 5855, 1293, 1120, 9871, 106, 106, 488, 125, 126, 2798, 1257, 10676, 31810, 20235, 1548, 10973, 2368, 1174, 17847, 106, 106, 488, 125, 131, 2798, 119, 2315, 1257, 1170, 10973, 4639, 2636, 1125, 28571, 2982, 1170, 17484, 5956, 1160, 1186, 18096, 3802, 1298, 106, 106, 488, 126, 123, 2798, 119, 2315, 1257, 1318, 29254, 1125, 2081, 2992, 2466, 5931, 1158, 9110, 1188, 1539, 1230, 24321, 1164, 1265, 121, 106, 106, 153, 2532, 2339, 106, 106, 124, 127, 2798, 1257, 18965, 9177, 1153, 20312, 186, 4880, 1249, 1170, 488, 125, 129, 2749, 488, 124, 131, 132, 124, 1496, 11080, 1929, 20581, 10816, 106, 124, 130, 2798, 1257, 18988, 7451, 9282, 1387, 1346, 11080, 1929, 14898, 28325, 488, 124, 132, 124, 132, 1576, 106, 125, 124, 2798, 1257, 27138, 12282, 16781, 1110, 6551, 1669, 2038, 14898, 28325, 488, 124, 132, 125, 128, 1576, 106, 106, 31133, 1467, 106, 106, 124, 127, 2798, 1257, 488, 106, 7980, 4101, 1118, 1439, 2358, 2009, 4419, 1303, 1170, 488, 124, 127, 2798, 488, 124, 130, 126, 125, 1496, 2630, 1108, 1369, 22256, 7269, 106, 13949, 7422, 1165, 2251, 2988, 186, 24051, 1170, 488, 125, 123, 3201, 488, 124, 130, 127, 126, 1496, 4610, 2720, 1125, 1158, 12759, 1167, 1125, 5891, 26875, 106, 488, 125, 126, 2798, 1257, 8590, 9271, 24051, 1186, 488, 124, 130, 129, 124, 1496, 6431, 12671, 1167, 6517, 10558, 2609, 3377, 21194, 106, 488, 125, 128, 2798, 1257, 1772, 11769, 9259, 177, 9905, 1293, 3940, 1977, 24051, 1186, 488, 124, 130, 128, 129, 1496, 8287, 244, 9092, 1354, 1167, 6517, 10558, 1574, 7478, 26352, 106, 106, 20634, 1167, 5474, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 161, 1108, 12210, 1518, 7531, 1206, 19252, 8957, 3887, 2220, 1239, 14481, 28399, 1204, 10926, 25157, 1518, 7531, 1206, 19252, 1239, 1110, 10516, 178, 11519, 3294, 1228, 9646, 1659, 1218, 1156, 20101, 1171, 3152, 7070, 106, 106, 141, 180, 11114, 106, 106, 3780, 9713, 1589, 1171, 20259, 1355, 1135, 6815, 1107, 10840, 1161, 1410, 7643, 1132, 20081, 1147, 29739, 1575, 5867, 1203, 8188, 1575, 116, 1446, 488, 124, 132, 130, 129, 1163, 488, 124, 132, 131, 123, 119, 4669, 8271, 1226, 3337, 3162, 1147, 3294, 1228, 1130, 1135, 4500, 4595, 121, 2133, 8627, 1355, 1135, 5011, 21388, 1147, 29739, 1575, 4945, 488, 124, 132, 132, 128, 1171, 6971, 15130, 23233, 2662, 3781, 1171, 4578, 25533, 3813, 133, 106, 120, 1226, 1135, 2704, 1235, 3138, 13072, 1135, 13013, 1523, 31707, 9912, 1323, 13089, 1150, 2971, 1202, 5711, 1130, 21388, 1147, 488, 124, 132, 131, 125, 106, 120, 1226, 1135, 2704, 6679, 14941, 9099, 1523, 30596, 8865, 1670, 1119, 1202, 5711, 1130, 9461, 1226, 4851, 1147, 9412, 1267, 1154, 1147, 488, 124, 132, 131, 129, 106, 120, 1226, 1135, 2704, 6679, 19451, 14941, 1202, 1205, 18713, 30596, 8865, 1670, 1119, 1202, 5711, 1130, 9461, 1226, 4851, 1147, 9412, 1267, 1154, 1147, 488, 124, 132, 132, 127, 106, 120, 1446, 1135, 1518, 3074, 192, 2831, 193, 1183, 1202, 5711, 1130, 9461, 1175, 15326, 1671, 1839, 1180, 20689, 1575, 116, 1147, 488, 124, 132, 132, 127, 106, 120, 1446, 1135, 5940, 1202, 5711, 1130, 9461, 1147, 1352, 2162, 1810, 10435, 29184, 29567, 1226, 1135, 2489, 6679, 16788, 1161, 1135, 13426, 1293, 7034, 109, 4419, 1580, 2704, 1171, 4184, 6042, 1245, 116, 106, 106, 142, 1532, 1107, 106, 106, 147, 1120, 17886, 5868, 2667, 1163, 7311, 13990, 30487, 6075, 3100, 8069, 1810, 1173, 28648, 12906, 7927, 1762, 30908, 1810, 3346, 8255, 3621, 5485, 1171, 9750, 6556, 1296, 1110, 24788, 1161, 10516, 178, 11519, 3294, 1228, 1130, 1135, 4500, 121, 106, 106, 3780, 5772, 1171, 18840, 488, 125, 125, 3294, 1228, 1130, 6446, 1226, 4851, 1238, 10516, 178, 11519, 3781, 16140, 2352, 2128, 6679, 26336, 1842, 1161, 9399, 186, 1147, 1135, 9378, 1161, 3859, 9253, 11268, 13065, 1238, 1135, 14121, 1161, 13520, 7381, 18991, 1171, 5992, 1792, 6446, 1324, 6679, 16788, 1161, 1135, 14941, 9099, 109, 1226, 9048, 2494, 15652, 119, 14941, 2502, 1457, 109, 106, 106, 3780, 19530, 1147, 2801, 1147, 488, 124, 132, 132, 128, 1171, 8627, 1226, 1135, 6279, 182, 15958, 1410, 2078, 2979, 10950, 1163, 1233, 3685, 2506, 196, 1147, 488, 124, 132, 132, 130, 1163, 3630, 1135, 1198, 1517, 1105, 21937, 1202, 5711, 1130, 21388, 7594, 1135, 30454, 1105, 2397, 1108, 1284, 121, 2133, 21838, 3294, 1228, 1130, 7081, 1324, 3470, 3294, 1228, 26465, 26960, 1196, 3294, 1228, 26465, 21850, 1135, 1128, 2944, 5861, 4942, 119, 4892, 134, 21758, 3294, 1228, 2298, 1324, 31696, 1169, 13228, 1171, 12864, 1406, 1446, 8878, 1342, 1146, 3294, 1228, 1130, 3908, 121, 3859, 1326, 2174, 6153, 119, 9262, 2313, 1107, 1281, 2726, 7915, 183, 1221, 5661, 3271, 1128, 1659, 11110, 9509, 2000, 30085, 1765, 3022, 12415, 1171, 2717, 24705, 2483, 1161, 1765, 3294, 1228, 2298, 12931, 1324, 10423, 22739, 121, 7013, 22204, 1171, 25258, 9334, 1393, 8794, 1324, 3386, 9459, 2742, 8389, 2544, 1792, 2676, 1608, 1149, 5284, 10896, 14481, 12210, 1602, 1959, 5772, 8286, 1132, 1106, 1452, 2563, 2131, 12056, 10920, 1108, 9874, 2317, 1141, 2563, 1151, 30889, 1302, 1602, 1375, 6743, 17032, 1135, 3886, 190, 1161, 12350, 2133, 1239, 1959, 4645, 1238, 1135, 15418, 1161, 1110, 15620, 2704, 1685, 1848, 1149, 1135, 9622, 1161, 1135, 1222, 4849, 1104, 1161, 1233, 3685, 2506, 1762, 9073, 1149, 2113, 1147, 6938, 1171, 9197, 119, 1226, 18235, 11668, 1457, 106, 106, 144, 2173, 8641, 3545, 16957, 3756, 119, 1386, 2447, 9417, 1765, 4578, 3294, 1228, 1130, 9912, 1171, 24402, 1104, 21863, 1446, 2315, 1171, 27862, 121, 1459, 488, 125, 123, 123, 128, 119, 14481, 12210, 6971, 1135, 4966, 5806, 10931, 1967, 10812, 1446, 1135, 9197, 12984, 1161, 10587, 1226, 1704, 1161, 1765, 10615, 22291, 4851, 1171, 20871, 1149, 3489, 21944, 1297, 2133, 1463, 1959, 21302, 1135, 17567, 9597, 26451, 29053, 121, 1459, 488, 125, 123, 123, 131, 119, 1386, 4468, 2565, 1156, 1238, 1110, 1624, 3580, 1161, 1135, 2994, 5035, 119, 1413, 1907, 3068, 3447, 6562, 3603, 7426, 1185, 10288, 1829, 14102, 1296, 1110, 2922, 121, 2133, 1959, 6888, 1163, 3627, 5468, 27820, 5690, 1137, 26768, 24491, 20519, 1171, 2017, 20442, 20932, 1147, 1135, 2179, 1161, 3294, 1228, 2298, 1324, 22617, 31935, 1171, 1239, 7455, 4645, 1238, 1110, 9912, 14874, 1163, 8148, 106, 106, 161, 1108, 12210, 1361, 7081, 1393, 26939, 2295, 1449, 5379, 4501, 5772, 1147, 10174, 1324, 1765, 30248, 22098, 13808, 1171, 31022, 8991, 1518, 7531, 1206, 12160, 32001, 488, 106, 32000, 20036, 106, 161, 1108, 12210, 1518, 7531, 1206, 19252, 1125, 1594, 8444, 1874, 14481, 28399, 1204, 10926, 25157, 1518, 7531, 1206, 19252, 1299, 1189, 1557, 1231, 4215, 2011, 3212, 28252, 1108, 1167, 1127, 26495, 1186, 8077, 20569, 7853, 178, 1532, 121, 106, 106, 141, 11741, 488, 106, 106, 23079, 1291, 255, 7749, 1167, 19778, 1188, 29717, 11971, 4549, 1283, 15784, 4119, 12189, 237, 1216, 2137, 1125, 29739, 1575, 5867, 1203, 8188, 1214, 116, 1125, 488, 124, 132, 130, 129, 1188, 488, 124, 132, 131, 123, 119, 1527, 1281, 4309, 1439, 6349, 3672, 3203, 2165, 1313, 1158, 3591, 1186, 8077, 1227, 12103, 1125, 1557, 4587, 1706, 1457, 1768, 27999, 1317, 12103, 23982, 1125, 29739, 1575, 22571, 488, 124, 132, 132, 128, 1167, 14882, 1318, 27680, 1125, 3248, 24335, 1167, 25069, 23233, 2636, 7630, 11786, 1257, 488, 106, 488, 1256, 1170, 14996, 3867, 13072, 6659, 24534, 5485, 9912, 1125, 30882, 1703, 18367, 1125, 1557, 4587, 4314, 1125, 13089, 1150, 2971, 1186, 488, 124, 132, 131, 125, 1323, 488, 106, 488, 1256, 1170, 14996, 1548, 15825, 1254, 1845, 26578, 9912, 1125, 1557, 4587, 4314, 30596, 8865, 1670, 1119, 1256, 1207, 6976, 1188, 9412, 1267, 1154, 1186, 488, 124, 132, 131, 129, 1323, 488, 106, 488, 1256, 1170, 14996, 1808, 17220, 3795, 23354, 4553, 1210, 7816, 9912, 1125, 1557, 4587, 4314, 30596, 8865, 1670, 1119, 1256, 1207, 6976, 1188, 9412, 1267, 1154, 1186, 488, 124, 132, 132, 127, 1323, 488, 106, 488, 1227, 9912, 1125, 1557, 4587, 4314, 1125, 1518, 3074, 1118, 5877, 29088, 11712, 120, 4067, 178, 1180, 20689, 1214, 116, 1186, 488, 124, 132, 132, 127, 1323, 488, 106, 488, 1227, 9912, 4578, 1125, 1557, 4587, 4314, 1125, 1352, 2162, 1810, 1106, 1334, 29567, 22837, 1256, 1158, 9545, 1606, 2814, 20969, 1227, 4755, 7788, 8243, 1524, 1175, 11031, 8532, 20561, 1407, 1245, 1167, 1313, 1207, 4184, 4495, 106, 106, 20616, 4096, 488, 106, 106, 158, 1104, 5505, 1473, 22058, 184, 243, 17799, 1186, 7311, 1134, 2620, 1186, 14722, 1215, 19949, 10645, 1170, 6075, 2114, 1158, 8903, 2620, 1158, 1173, 1660, 5650, 6659, 14312, 11438, 1271, 4303, 19005, 119, 1158, 1202, 1737, 6664, 5891, 19085, 1256, 22934, 1469, 1158, 6556, 1186, 4083, 1309, 12260, 1227, 12103, 1125, 1557, 4587, 4314, 1125, 10516, 8188, 4654, 106, 106, 5164, 18532, 1167, 2367, 1186, 8077, 488, 125, 125, 18767, 1125, 1557, 4587, 4314, 1256, 4661, 1188, 1158, 14022, 5277, 1125, 10516, 8188, 1214, 16475, 1203, 1473, 1808, 29145, 11619, 3088, 1125, 9399, 186, 1313, 1170, 3293, 1197, 22014, 1125, 2191, 27641, 1300, 1170, 10395, 1125, 1158, 13611, 4089, 1117, 6909, 2648, 2743, 7762, 18767, 1469, 2814, 30609, 1227, 4170, 1254, 1845, 2775, 1256, 20182, 7005, 1207, 4170, 1297, 106, 106, 5164, 9616, 1188, 2801, 1186, 488, 124, 132, 132, 128, 1167, 9900, 1256, 1170, 6279, 182, 15958, 12103, 2567, 1125, 2368, 20285, 1186, 29541, 1186, 488, 124, 132, 132, 130, 1256, 1251, 5362, 1170, 12103, 1125, 1557, 4587, 4314, 1125, 1158, 1198, 1517, 1105, 1304, 4834, 12020, 1170, 2397, 1538, 1284, 1125, 30454, 3847, 1768, 1251, 5004, 1197, 29802, 1125, 1557, 4587, 4314, 1188, 1962, 1285, 1188, 10443, 1346, 12103, 1304, 1137, 3576, 119, 9537, 1579, 6785, 6261, 2040, 1167, 5004, 1197, 22792, 1554, 10581, 1199, 1318, 2185, 24635, 1167, 1189, 3014, 1232, 5504, 10654, 1667, 3090, 19053, 1125, 1158, 3908, 3438, 1435, 1197, 1557, 4587, 1706, 1457, 3859, 11619, 197, 12001, 1143, 191, 28268, 1225, 1510, 1126, 10877, 18264, 1389, 8529, 7056, 3497, 1314, 4819, 11110, 9509, 1357, 13778, 10028, 1909, 8658, 1167, 4083, 5610, 119, 7383, 1125, 1909, 22792, 1554, 1281, 1520, 1178, 1469, 1318, 24456, 1336, 1501, 9770, 14301, 22204, 1167, 25258, 9334, 1508, 14164, 1153, 1469, 3828, 18123, 7531, 6957, 2616, 1207, 9238, 1408, 5979, 1117, 1285, 14481, 12210, 1110, 2445, 9601, 16037, 3027, 8286, 12043, 27882, 2972, 9874, 2317, 1483, 3027, 1125, 23674, 1318, 30889, 1357, 4249, 1382, 2743, 18013, 1313, 1207, 1127, 21113, 1125, 1282, 19739, 1193, 21156, 1768, 9900, 2445, 1188, 1158, 5735, 2335, 14996, 10777, 1826, 1128, 1199, 1158, 2492, 1197, 1227, 8644, 1125, 29541, 9073, 28489, 9400, 24724, 2444, 1188, 28955, 15996, 1985, 121, 106, 106, 2330, 2558, 13407, 7542, 1207, 11175, 1125, 5038, 23478, 1527, 20912, 1594, 9912, 4578, 1125, 1557, 4587, 4314, 1167, 14882, 1197, 21863, 29511, 1125, 2315, 1167, 1304, 2961, 16095, 106, 1686, 488, 125, 123, 123, 128, 119, 14481, 12210, 14882, 1170, 8276, 3781, 5806, 20073, 6361, 1197, 12220, 1227, 5328, 1125, 1158, 10587, 2720, 1256, 6113, 1125, 1909, 6943, 22057, 11953, 4661, 1167, 2022, 7256, 1125, 4685, 1125, 11521, 121, 1768, 2934, 2445, 17836, 1462, 244, 1317, 4041, 15257, 1215, 1170, 3248, 1125, 17289, 8506, 2129, 5907, 1653, 488, 125, 123, 123, 131, 119, 1527, 8135, 2125, 1140, 244, 1188, 1189, 3631, 2929, 1227, 2076, 1332, 3379, 119, 1357, 1816, 2768, 5332, 1158, 26731, 6668, 2032, 3701, 3747, 1170, 7444, 27462, 8117, 1856, 2922, 121, 1768, 6885, 19076, 1910, 1188, 6459, 15996, 17292, 5690, 1137, 1190, 1766, 2624, 1167, 2905, 13383, 30281, 1701, 1188, 9689, 1197, 1557, 4587, 4314, 5693, 1197, 9238, 11810, 1234, 1167, 9900, 11041, 1188, 1158, 9752, 2335, 9912, 1357, 1964, 5760, 9637, 3502, 106, 106, 4455, 29802, 1125, 14481, 12210, 1508, 9192, 1234, 2519, 7585, 17482, 15633, 1186, 10174, 1469, 1594, 1962, 1285, 1170, 22098, 2038, 1167, 31891, 8991, 1518, 7531, 1206, 12160, 106, 106, 28870, 5825, 488, 106, 488, 18367, 1125, 1557, 4587, 4314, 1125, 1158, 1198, 1517, 1105, 21937, 106, 106, 20634, 1167, 5474, 488, 106, 24338, 1231, 4215, 10577, 7853, 178, 1532, 106, 5347, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 161, 1108, 12210, 1518, 7531, 1206, 19252, 1125, 1594, 8444, 1874, 14481, 28399, 1204, 10926, 25157, 1518, 7531, 1206, 19252, 1299, 1189, 1557, 1231, 4215, 2011, 3212, 28252, 1108, 1167, 1127, 26495, 1186, 8077, 20569, 7853, 178, 1532, 121, 106, 106, 141, 11741, 488, 106, 106, 23079, 1291, 255, 7749, 1167, 19778, 1188, 29717, 11971, 4549, 1283, 15784, 4119, 12189, 237, 1216, 2137, 1125, 29739, 1575, 5867, 1203, 8188, 1214, 116, 1125, 488, 124, 132, 130, 129, 1188, 488, 124, 132, 131, 123, 119, 1527, 1281, 4309, 1439, 6349, 3672, 3203, 2165, 1313, 1158, 3591, 1186, 8077, 1227, 12103, 1125, 1557, 4587, 1706, 1457, 1768, 27999, 1317, 12103, 23982, 1125, 29739, 1575, 22571, 488, 124, 132, 132, 128, 1167, 14882, 1318, 27680, 1125, 3248, 24335, 1167, 25069, 23233, 2636, 7630, 11786, 1257, 488, 106, 488, 1256, 1170, 14996, 3867, 13072, 6659, 24534, 5485, 9912, 1125, 30882, 1703, 18367, 1125, 1557, 4587, 4314, 1125, 13089, 1150, 2971, 1186, 488, 124, 132, 131, 125, 1323, 488, 106, 488, 1256, 1170, 14996, 1548, 15825, 1254, 1845, 26578, 9912, 1125, 1557, 4587, 4314, 30596, 8865, 1670, 1119, 1256, 1207, 6976, 1188, 9412, 1267, 1154, 1186, 488, 124, 132, 131, 129, 1323, 488, 106, 488, 1256, 1170, 14996, 1808, 17220, 3795, 23354, 4553, 1210, 7816, 9912, 1125, 1557, 4587, 4314, 30596, 8865, 1670, 1119, 1256, 1207, 6976, 1188, 9412, 1267, 1154, 1186, 488, 124, 132, 132, 127, 1323, 488, 106, 488, 1227, 9912, 1125, 1557, 4587, 4314, 1125, 1518, 3074, 1118, 5877, 29088, 11712, 120, 4067, 178, 1180, 20689, 1214, 116, 1186, 488, 124, 132, 132, 127, 1323, 488, 106, 488, 1227, 9912, 4578, 1125, 1557, 4587, 4314, 1125, 1352, 2162, 1810, 1106, 1334, 29567, 22837, 1256, 1158, 9545, 1606, 2814, 20969, 1227, 4755, 7788, 8243, 1524, 1175, 11031, 8532, 20561, 1407, 1245, 1167, 1313, 1207, 4184, 4495, 106, 106, 20616, 4096, 488, 106, 106, 158, 1104, 5505, 1473, 22058, 184, 243, 17799, 1186, 7311, 1134, 2620, 1186, 14722, 1215, 19949, 10645, 1170, 6075, 2114, 1158, 8903, 2620, 1158, 1173, 1660, 5650, 6659, 14312, 11438, 1271, 4303, 19005, 119, 1158, 1202, 1737, 6664, 5891, 19085, 1256, 22934, 1469, 1158, 6556, 1186, 4083, 1309, 12260, 1227, 12103, 1125, 1557, 4587, 4314, 1125, 10516, 8188, 4654, 106, 106, 5164, 18532, 1167, 2367, 1186, 8077, 488, 125, 125, 18767, 1125, 1557, 4587, 4314, 1256, 4661, 1188, 1158, 14022, 5277, 1125, 10516, 8188, 1214, 16475, 1203, 1473, 1808, 29145, 11619, 3088, 1125, 9399, 186, 1313, 1170, 3293, 1197, 22014, 1125, 2191, 27641, 1300, 1170, 10395, 1125, 1158, 13611, 4089, 1117, 6909, 2648, 2743, 7762, 18767, 1469, 2814, 30609, 1227, 4170, 1254, 1845, 2775, 1256, 20182, 7005, 1207, 4170, 1297, 106, 106, 5164, 9616, 1188, 2801, 1186, 488, 124, 132, 132, 128, 1167, 9900, 1256, 1170, 6279, 182, 15958, 12103, 2567, 1125, 2368, 20285, 1186, 29541, 1186, 488, 124, 132, 132, 130, 1256, 1251, 5362, 1170, 12103, 1125, 1557, 4587, 4314, 1125, 1158, 1198, 1517, 1105, 1304, 4834, 12020, 1170, 2397, 1538, 1284, 1125, 30454, 3847, 1768, 1251, 5004, 1197, 29802, 1125, 1557, 4587, 4314, 1188, 1962, 1285, 1188, 10443, 1346, 12103, 1304, 1137, 3576, 119, 9537, 1579, 6785, 6261, 2040, 1167, 5004, 1197, 22792, 1554, 10581, 1199, 1318, 2185, 24635, 1167, 1189, 3014, 1232, 5504, 10654, 1667, 3090, 19053, 1125, 1158, 3908, 3438, 1435, 1197, 1557, 4587, 1706, 1457, 3859, 11619, 197, 12001, 1143, 191, 28268, 1225, 1510, 1126, 10877, 18264, 1389, 8529, 7056, 3497, 1314, 4819, 11110, 9509, 1357, 13778, 10028, 1909, 8658, 1167, 4083, 5610, 119, 7383, 1125, 1909, 22792, 1554, 1281, 1520, 1178, 1469, 1318, 24456, 1336, 1501, 9770, 14301, 22204, 1167, 25258, 9334, 1508, 14164, 1153, 1469, 3828, 18123, 7531, 6957, 2616, 1207, 9238, 1408, 5979, 1117, 1285, 14481, 12210, 1110, 2445, 9601, 16037, 3027, 8286, 12043, 27882, 2972, 9874, 2317, 1483, 3027, 1125, 23674, 1318, 30889, 1357, 4249, 1382, 2743, 18013, 1313, 1207, 1127, 21113, 1125, 1282, 19739, 1193, 21156, 1768, 9900, 2445, 1188, 1158, 5735, 2335, 14996, 10777, 1826, 1128, 1199, 1158, 2492, 1197, 1227, 8644, 1125, 29541, 9073, 28489, 9400, 24724, 2444, 1188, 28955, 15996, 1985, 121, 106, 106, 2330, 2558, 13407, 7542, 1207, 11175, 1125, 5038, 23478, 1527, 20912, 1594, 9912, 4578, 1125, 1557, 4587, 4314, 1167, 14882, 1197, 21863, 29511, 1125, 2315, 1167, 1304, 2961, 16095, 106, 1686, 488, 125, 123, 123, 128, 119, 14481, 12210, 14882, 1170, 8276, 3781, 5806, 20073, 6361, 1197, 12220, 1227, 5328, 1125, 1158, 10587, 2720, 1256, 6113, 1125, 1909, 6943, 22057, 11953, 4661, 1167, 2022, 7256, 1125, 4685, 1125, 11521, 121, 1768, 2934, 2445, 17836, 1462, 244, 1317, 4041, 15257, 1215, 1170, 3248, 1125, 17289, 8506, 2129, 5907, 1653, 488, 125, 123, 123, 131, 119, 1527, 8135, 2125, 1140, 244, 1188, 1189, 3631, 2929, 1227, 2076, 1332, 3379, 119, 1357, 1816, 2768, 5332, 1158, 26731, 6668, 2032, 3701, 3747, 1170, 7444, 27462, 8117, 1856, 2922, 121, 1768, 6885, 19076, 1910, 1188, 6459, 15996, 17292, 5690, 1137, 1190, 1766, 2624, 1167, 2905, 13383, 30281, 1701, 1188, 9689, 1197, 1557, 4587, 4314, 5693, 1197, 9238, 11810, 1234, 1167, 9900, 11041, 1188, 1158, 9752, 2335, 9912, 1357, 1964, 5760, 9637, 3502, 106, 106, 4455, 29802, 1125, 14481, 12210, 1508, 9192, 1234, 2519, 7585, 17482, 15633, 1186, 10174, 1469, 1594, 1962, 1285, 1170, 22098, 2038, 1167, 31891, 8991, 1518, 7531, 1206, 12160, 106, 106, 28870, 5825, 488, 106, 488, 18367, 1125, 1557, 4587, 4314, 1125, 1158, 1198, 1517, 1105, 21937, 106, 106, 20634, 1167, 5474, 488, 106, 24338, 1231, 4215, 10577, 7853, 178, 1532, 106, 5347, 1125, 10544, 2081, 16625, 15604, 1175, 8257, 176, 6298, 116, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 106, 3562, 6745, 1125, 1173, 4363, 5149, 1109, 1299, 1318, 3543, 1186, 6141, 25933, 10019, 1300, 1207, 31455, 1125, 1158, 3837, 1125, 1643, 1153, 1119, 6664, 6035, 193, 1303, 1170, 488, 126, 124, 2822, 488, 125, 123, 123, 126, 121, 106, 106, 147, 4386, 1125, 1408, 1125, 488, 126, 128, 23882, 15354, 2399, 1281, 20675, 1439, 1215, 1909, 488, 126, 123, 125, 1557, 2942, 1256, 1158, 24329, 1167, 488, 126, 123, 127, 1256, 1158, 8466, 1849, 1357, 30139, 1318, 4415, 17602, 1380, 2596, 1808, 8613, 2931, 1830, 1199, 1207, 1557, 2942, 1508, 22550, 1300, 1189, 27792, 15356, 2726, 1440, 1357, 23541, 1158, 29396, 1125, 12598, 3910, 1374, 1125, 24329, 1167, 1125, 3977, 1125, 8466, 18547, 5593, 1170, 6141, 5162, 2074, 1888, 1197, 24429, 1125, 1158, 25109, 106, 106, 142, 8414, 5563, 1215, 14141, 1197, 9628, 1125, 4764, 1125, 1643, 1153, 7821, 25232, 16459, 116, 1300, 1158, 1663, 1148, 1197, 5426, 12959, 11739, 3863, 1364, 1125, 1173, 4363, 5149, 2982, 2399, 1299, 18504, 12104, 1170, 488, 126, 124, 2822, 488, 125, 123, 123, 126, 1167, 15425, 1317, 1721, 1170, 488, 124, 1107, 2578, 488, 125, 123, 123, 126, 121, 106, 106, 3562, 11120, 13052, 1125, 1158, 3543, 6019, 1189, 3494, 24258, 1300, 1643, 1153, 1119, 6664, 1170, 12179, 21086, 10465, 1207, 23116, 1167, 8487, 1132, 13134, 1152, 3595, 30340, 1167, 1207, 23116, 2720, 1457, 106, 106, 3562, 2175, 7551, 1227, 2929, 488, 106, 106, 2606, 13787, 4389, 10737, 1266, 4923, 1659, 3042, 14807, 1125, 1158, 1270, 1369, 1125, 4971, 1186, 6141, 1125, 5613, 155, 10368, 119, 5265, 1186, 488, 124, 132, 132, 130, 1304, 1550, 2104, 1318, 3543, 2368, 244, 2995, 1199, 15545, 1177, 1141, 1197, 1116, 17219, 1197, 18963, 1125, 1173, 4363, 5149, 1109, 1304, 12736, 10276, 6462, 31638, 1107, 1170, 22200, 1188, 488, 126, 129, 123, 28296, 4413, 1814, 2929, 8501, 1215, 3981, 235, 1594, 13315, 28133, 1299, 2072, 1189, 17539, 12057, 3977, 1125, 8425, 3373, 1227, 6141, 1313, 1318, 6805, 2651, 21246, 1303, 1215, 1158, 17584, 119, 6663, 1199, 1317, 5581, 1125, 1909, 8195, 6111, 3881, 11986, 1124, 8519, 1346, 1288, 31430, 1408, 2327, 1281, 2968, 1369, 1125, 1909, 20306, 1125, 14140, 1125, 22002, 1362, 1125, 4972, 9484, 2616, 3547, 1527, 5251, 1450, 25314, 6529, 1170, 6141, 1197, 24429, 1158, 1153, 1783, 7269, 121, 1548, 6141, 20593, 1167, 1282, 2603, 2677, 1120, 15363, 1188, 3862, 1125, 13792, 1109, 1125, 10341, 27077, 1323, 2487, 4345, 31019, 25536, 1300, 6844, 1188, 21396, 1323, 1256, 28347, 119, 1723, 2072, 1197, 13792, 1554, 1167, 1197, 3391, 1146, 244, 1141, 1256, 16186, 121, 1768, 18515, 2072, 1309, 4374, 1170, 6141, 1125, 4971, 1915, 10859, 1282, 18369, 1167, 1170, 1169, 3307, 25989, 1197, 13996, 1297, 106, 106, 20616, 21198, 106, 106, 28267, 6272, 488, 106, 1306, 5163, 12808, 1257, 488, 126, 128, 13061, 106, 1306, 5163, 1125, 1158, 11120, 13052, 1257, 488, 126, 123, 13061, 106, 2068, 5815, 1125, 1158, 11120, 13052, 1257, 488, 129, 123, 128, 13061, 27447, 1123, 488, 128, 123, 123, 13061, 19227, 1227, 12179, 21086, 1712, 116, 106, 14043, 1430, 1257, 488, 126, 13061, 1125, 23486, 1167, 488, 124, 1127, 8050, 27462, 26276, 7216, 22002, 116, 106, 21946, 8050, 1188, 1158, 2989, 1257, 488, 129, 13061, 106, 21946, 8050, 1125, 1158, 11120, 13052, 1257, 488, 128, 13061, 106, 106, 23828, 1550, 1541, 1125, 4971, 488, 106, 3562, 3543, 1125, 1173, 4363, 5149, 1109, 1113, 7551, 488, 124, 131, 123, 1111, 1396, 1457, 3450, 1299, 30647, 1125, 3203, 3081, 2027, 11734, 3576, 25733, 1197, 6141, 1125, 1158, 3837, 1313, 1170, 4435, 1125, 18971, 1257, 106, 488, 132, 123, 20306, 1125, 13792, 1109, 1125, 10341, 27077, 106, 488, 129, 128, 20306, 27462, 1146, 244, 172, 106, 488, 125, 128, 20306, 1125, 8686, 243, 2174, 106, 106, 158, 1104, 1557, 2942, 1508, 4407, 1473, 1215, 488, 124, 128, 124, 6406, 1125, 13792, 1109, 1125, 10341, 2313, 6631, 6218, 15630, 1299, 1186, 30100, 121, 106, 106, 8321, 1467, 1167, 20139, 488, 106, 3562, 3543, 1281, 5209, 1188, 3458, 24809, 1125, 13061, 1317, 7758, 1227, 12179, 1125, 1173, 4363, 5149, 4537, 106, 106, 15539, 1299, 15425, 1125, 488, 132, 179, 1188, 488, 124, 130, 179, 1186, 20963, 1167, 1125, 488, 132, 179, 1188, 488, 124, 132, 179, 1186, 1913, 121, 106, 106, 1428, 5595, 11376, 488, 106, 2769, 1467, 1125, 488, 129, 123, 123, 123, 123, 10428, 1251, 1508, 2383, 1234, 7542, 1207, 2069, 9881, 4092, 5147, 8138, 2392, 106, 13240, 10096, 11358, 1318, 20660, 1186, 13596, 9427, 1303, 2335, 16594, 6053, 1816, 14990, 1357, 1110, 7545, 1170, 10342, 1125, 1158, 4971, 1125, 1158, 3543, 1125, 1173, 4363, 5149, 4537, 106, 1643, 4235, 1125, 1158, 3543, 1125, 1173, 4363, 5149, 2982, 1318, 4235, 9304, 1182, 2944, 4715, 1594, 23469, 9262, 1303, 1317, 19121, 1125, 1158, 3543, 121, 106, 106, 22507, 1158, 14225, 488, 106, 106, 1643, 3543, 8017, 1313, 1158, 14962, 1227, 3151, 19911, 1125, 1158, 4726, 1808, 1653, 1134, 3464, 1125, 6353, 246, 1269, 1285, 1606, 2576, 224, 185, 1205, 1232, 1125, 1158, 12308, 28808, 1125, 1643, 1153, 7821, 3133, 1125, 28576, 1202, 6897, 244, 250, 1175, 125, 123, 124, 126, 1576, 488, 106, 3450, 10809, 1189, 6315, 8677, 1167, 8017, 1300, 1158, 11094, 1227, 7808, 1643, 4307, 1767, 1138, 10483, 1366, 1304, 4650, 18325, 1233, 10713, 182, 2433, 3151, 23660, 1125, 1643, 1173, 15324, 14609, 1276, 1124, 1141, 1337, 1175, 125, 123, 125, 125, 1576, 106, 106, 146, 31942, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 488, 106, 488, 31093, 21504, 1285, 1643, 3543, 1125, 1173, 4363, 5149, 1109, 1323, 12511, 3909, 23674, 9756, 19278, 172, 1167, 3908, 1571, 15018, 1125, 1158, 3837, 1125, 1643, 1153, 1119, 6664, 488, 125, 123, 123, 127, 119, 1643, 1153, 1119, 6664, 488, 128, 128, 4826, 106, 106, 10026, 11052, 488, 106, 19251, 1125, 1173, 4363, 5149, 1109, 106, 22611, 1132, 1374, 1188, 4415, 17602, 7537, 106, 16324, 1125, 1173, 4363, 5149, 1109, 106, 2722, 1124, 4688, 1125, 1173, 4363, 5149, 1109, 106, 106, 28870, 5825, 488, 106, 7649, 9229, 106, 1643, 6745, 1125, 1173, 4363, 5149, 1109, 1186, 488, 125, 143, 1167, 488, 126, 143, 106, 106, 16976, 2070, 1313, 1170, 17578, 1125, 1352, 3595, 106, 159, 1157, 1304, 25737, 106, 19346, 8982, 2923, 1188, 1643, 1153, 7821, 114, 32001, 488, 106, 32000, 20036, 106, 1598, 1173, 4363, 5149, 1109, 1198, 2428, 1239, 1110, 5938, 10920, 1108, 1163, 4120, 8452, 1238, 1135, 1386, 4431, 1161, 1135, 5100, 1161, 1643, 1153, 1119, 6664, 12142, 1238, 7357, 488, 126, 124, 119, 488, 125, 123, 123, 126, 121, 106, 106, 2003, 12126, 1355, 2060, 488, 126, 128, 2367, 1201, 1111, 14111, 1341, 1239, 5080, 2928, 1449, 2019, 488, 126, 123, 125, 10650, 1226, 4482, 14559, 1171, 488, 126, 123, 127, 10650, 1226, 21852, 2064, 1830, 1149, 1110, 4415, 1386, 1333, 6603, 1410, 1280, 9695, 1830, 1149, 1135, 10650, 1393, 13499, 1238, 1110, 8677, 5642, 3366, 1758, 5385, 1147, 1135, 1281, 5606, 1161, 1135, 1296, 3196, 1171, 1197, 3196, 1290, 1491, 1297, 3454, 1135, 10920, 2629, 6227, 1446, 1135, 5100, 20000, 1297, 106, 106, 141, 4019, 191, 1449, 1135, 8006, 1161, 1643, 1153, 7821, 12279, 18349, 1429, 25232, 16459, 116, 1238, 1135, 1173, 4363, 5149, 1109, 4784, 10101, 1445, 1166, 26574, 1341, 1463, 18504, 1136, 1589, 1238, 7357, 488, 126, 124, 119, 488, 125, 123, 123, 126, 119, 1171, 13032, 1163, 1135, 1721, 1238, 7286, 488, 124, 119, 488, 125, 123, 123, 126, 121, 106, 106, 1598, 14266, 7544, 1161, 1135, 1163, 4120, 8065, 1110, 3494, 31466, 1146, 3687, 1161, 1643, 1153, 1119, 6664, 13402, 16704, 193, 1810, 1135, 2068, 1484, 1171, 1352, 3595, 1517, 7642, 1132, 187, 1285, 1171, 1135, 9197, 2068, 187, 1297, 106, 106, 1598, 3998, 11323, 1161, 1135, 3580, 106, 106, 27938, 10087, 4389, 10737, 1266, 4923, 1659, 2491, 3228, 1161, 1135, 10920, 4971, 15867, 1355, 16667, 10368, 119, 12528, 1147, 488, 124, 132, 132, 130, 1163, 2543, 1363, 1110, 1163, 4120, 25187, 1163, 1135, 6987, 1161, 1135, 5582, 1130, 6774, 1161, 1173, 4363, 5149, 1109, 1446, 2468, 1704, 2592, 1191, 8172, 1135, 24603, 1147, 488, 126, 129, 123, 7210, 1112, 1457, 22658, 1414, 2019, 3543, 1267, 4522, 119, 1135, 3580, 1239, 1959, 1110, 8113, 119, 1302, 1161, 1135, 5271, 1161, 10920, 1147, 1110, 6805, 3520, 11121, 10281, 1449, 17584, 119, 27242, 1135, 2283, 1161, 2019, 7684, 11986, 24016, 1432, 18332, 7900, 1278, 1161, 2269, 1163, 1803, 9564, 1161, 26462, 1161, 25283, 1329, 13650, 1463, 7017, 2544, 9816, 1386, 17521, 3068, 10920, 9141, 1446, 1135, 1643, 1153, 7821, 20000, 1297, 27400, 10920, 1171, 13403, 3208, 3498, 1620, 13196, 1446, 10341, 27077, 17965, 1323, 1957, 1161, 1758, 2025, 1106, 8096, 1355, 1135, 1907, 1323, 1226, 1135, 13059, 3553, 119, 1663, 1959, 17031, 12272, 1171, 17965, 1226, 1135, 21301, 121, 2133, 1959, 19737, 1302, 2155, 4971, 10920, 2592, 2894, 1226, 1135, 12935, 1171, 1169, 2048, 14623, 1161, 20000, 1297, 106, 106, 27844, 16763, 106, 106, 28267, 6272, 106, 19161, 27232, 488, 126, 128, 2367, 1201, 106, 10196, 1161, 1135, 14266, 7544, 133, 488, 126, 123, 2367, 1201, 106, 3681, 5815, 1161, 1135, 14266, 7544, 133, 488, 129, 123, 128, 2367, 1201, 1175, 128, 123, 123, 2367, 1201, 5237, 13402, 16704, 193, 7972, 106, 13106, 1430, 133, 488, 126, 2367, 1201, 1147, 10555, 3030, 1171, 488, 124, 2367, 1107, 17554, 9512, 25283, 116, 106, 6618, 10555, 3030, 133, 488, 129, 2367, 1201, 106, 160, 4599, 7544, 10555, 3030, 133, 488, 128, 2367, 1201, 106, 106, 8925, 3467, 13131, 106, 1598, 1173, 4363, 5149, 1109, 1198, 2428, 27181, 190, 488, 124, 131, 123, 5412, 1297, 1988, 1239, 3062, 1806, 1161, 3337, 8707, 13594, 3993, 5063, 1446, 1135, 5100, 1226, 7832, 1147, 1151, 6223, 1641, 19743, 19405, 133, 106, 132, 123, 26462, 1161, 10341, 27077, 17965, 106, 129, 128, 26462, 1161, 17031, 12272, 106, 125, 128, 26462, 1161, 1115, 2528, 106, 106, 148, 1634, 10650, 1393, 3062, 1806, 1161, 488, 124, 128, 124, 12518, 1161, 10341, 27077, 1131, 11456, 14835, 19605, 1239, 1736, 1228, 1657, 106, 106, 8778, 1171, 12306, 7456, 106, 1598, 1163, 4120, 1239, 8452, 1110, 4013, 1560, 7641, 2367, 1201, 10553, 1161, 13402, 1173, 4363, 5149, 4537, 106, 106, 4515, 1239, 3275, 1446, 488, 132, 1675, 1163, 488, 128, 12869, 1147, 16522, 1171, 1446, 488, 132, 1675, 1163, 488, 130, 12869, 1147, 21505, 1657, 106, 106, 161, 1662, 1212, 3033, 106, 153, 1570, 1269, 488, 129, 123, 119, 123, 123, 123, 15846, 4482, 5278, 1341, 1147, 1135, 1940, 2197, 3162, 1161, 3025, 2392, 106, 9890, 6017, 1602, 1110, 13650, 20660, 1186, 1800, 3554, 1324, 1110, 16594, 2192, 14990, 12421, 13290, 1135, 4971, 1161, 1135, 1173, 4363, 5149, 1109, 1198, 1246, 1657, 106, 1598, 1173, 4363, 5149, 1109, 1198, 2428, 1501, 7467, 1110, 7142, 25331, 1602, 2019, 11632, 2458, 1355, 1135, 3263, 1161, 1135, 28486, 1657, 106, 106, 1428, 14225, 106, 106, 1598, 1163, 4120, 1239, 19802, 1147, 1135, 14962, 1161, 1135, 1940, 7674, 1161, 1135, 6353, 246, 21735, 29989, 1430, 28599, 6679, 1653, 8919, 1161, 1643, 1153, 7821, 10255, 2718, 5663, 109, 1449, 28576, 1202, 6897, 244, 250, 1175, 125, 123, 124, 126, 1576, 106, 4515, 15751, 1110, 8677, 5897, 1171, 1239, 19802, 1238, 1135, 5089, 1161, 1135, 10704, 31560, 4307, 1767, 1138, 10483, 1366, 109, 1449, 2571, 18325, 1233, 10713, 182, 2433, 1135, 1940, 1910, 1161, 1135, 1350, 1276, 1124, 1141, 1337, 1173, 15324, 1175, 125, 123, 125, 125, 1576, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 1173, 4363, 5149, 1109, 1198, 2428, 1239, 1110, 5938, 10920, 1108, 1163, 4120, 8452, 1238, 1135, 1386, 4431, 1161, 1135, 5100, 1161, 1643, 1153, 1119, 6664, 12142, 1238, 7357, 488, 126, 124, 119, 488, 125, 123, 123, 126, 121, 106, 106, 2003, 12126, 1355, 2060, 488, 126, 128, 2367, 1201, 1111, 14111, 1341, 1239, 5080, 2928, 1449, 2019, 488, 126, 123, 125, 10650, 1226, 4482, 14559, 1171, 488, 126, 123, 127, 10650, 1226, 21852, 2064, 1830, 1149, 1110, 4415, 1386, 1333, 6603, 1410, 1280, 9695, 1830, 1149, 1135, 10650, 1393, 13499, 1238, 1110, 8677, 5642, 3366, 1758, 5385, 1147, 1135, 1281, 5606, 1161, 1135, 1296, 3196, 1171, 1197, 3196, 1290, 1491, 1297, 3454, 1135, 10920, 2629, 6227, 1446, 1135, 5100, 20000, 1297, 106, 106, 141, 4019, 191, 1449, 1135, 8006, 1161, 1643, 1153, 7821, 12279, 18349, 1429, 25232, 16459, 116, 1238, 1135, 1173, 4363, 5149, 1109, 4784, 10101, 1445, 1166, 26574, 1341, 1463, 18504, 1136, 1589, 1238, 7357, 488, 126, 124, 119, 488, 125, 123, 123, 126, 119, 1171, 13032, 1163, 1135, 1721, 1238, 7286, 488, 124, 119, 488, 125, 123, 123, 126, 121, 106, 106, 1598, 14266, 7544, 1161, 1135, 1163, 4120, 8065, 1110, 3494, 31466, 1146, 3687, 1161, 1643, 1153, 1119, 6664, 13402, 16704, 193, 1810, 1135, 2068, 1484, 1171, 1352, 3595, 1517, 7642, 1132, 187, 1285, 1171, 1135, 9197, 2068, 187, 1297, 106, 106, 1598, 3998, 11323, 1161, 1135, 3580, 106, 106, 27938, 10087, 4389, 10737, 1266, 4923, 1659, 2491, 3228, 1161, 1135, 10920, 4971, 15867, 1355, 16667, 10368, 119, 12528, 1147, 488, 124, 132, 132, 130, 1163, 2543, 1363, 1110, 1163, 4120, 25187, 1163, 1135, 6987, 1161, 1135, 5582, 1130, 6774, 1161, 1173, 4363, 5149, 1109, 1446, 2468, 1704, 2592, 1191, 8172, 1135, 24603, 1147, 488, 126, 129, 123, 7210, 1112, 1457, 22658, 1414, 2019, 3543, 1267, 4522, 119, 1135, 3580, 1239, 1959, 1110, 8113, 119, 1302, 1161, 1135, 5271, 1161, 10920, 1147, 1110, 6805, 3520, 11121, 10281, 1449, 17584, 119, 27242, 1135, 2283, 1161, 2019, 7684, 11986, 24016, 1432, 18332, 7900, 1278, 1161, 2269, 1163, 1803, 9564, 1161, 26462, 1161, 25283, 1329, 13650, 1463, 7017, 2544, 9816, 1386, 17521, 3068, 10920, 9141, 1446, 1135, 1643, 1153, 7821, 20000, 1297, 27400, 10920, 1171, 13403, 3208, 3498, 1620, 13196, 1446, 10341, 27077, 17965, 1323, 1957, 1161, 1758, 2025, 1106, 8096, 1355, 1135, 1907, 1323, 1226, 1135, 13059, 3553, 119, 1663, 1959, 17031, 12272, 1171, 17965, 1226, 1135, 21301, 121, 2133, 1959, 19737, 1302, 2155, 4971, 10920, 2592, 2894, 1226, 1135, 12935, 1171, 1169, 2048, 14623, 1161, 20000, 1297, 106, 106, 27844, 16763, 106, 106, 28267, 6272, 106, 19161, 27232, 488, 126, 128, 2367, 1201, 106, 10196, 1161, 1135, 14266, 7544, 133, 488, 126, 123, 2367, 1201, 106, 3681, 5815, 1161, 1135, 14266, 7544, 133, 488, 129, 123, 128, 2367, 1201, 1175, 128, 123, 123, 2367, 1201, 5237, 13402, 16704, 193, 7972, 106, 13106, 1430, 133, 488, 126, 2367, 1201, 1147, 10555, 3030, 1171, 488, 124, 2367, 1107, 17554, 9512, 25283, 116, 106, 6618, 10555, 3030, 133, 488, 129, 2367, 1201, 106, 160, 4599, 7544, 10555, 3030, 133, 488, 128, 2367, 1201, 106, 106, 8925, 3467, 13131, 106, 1598, 1173, 4363, 5149, 1109, 1198, 2428, 27181, 190, 488, 124, 131, 123, 5412, 1297, 1988, 1239, 3062, 1806, 1161, 3337, 8707, 13594, 3993, 5063, 1446, 1135, 5100, 1226, 7832, 1147, 1151, 6223, 1641, 19743, 19405, 133, 106, 132, 123, 26462, 1161, 10341, 27077, 17965, 106, 129, 128, 26462, 1161, 17031, 12272, 106, 125, 128, 26462, 1161, 1115, 2528, 106, 106, 148, 1634, 10650, 1393, 3062, 1806, 1161, 488, 124, 128, 124, 12518, 1161, 10341, 27077, 1131, 11456, 14835, 19605, 1239, 1736, 1228, 1657, 106, 106, 8778, 1171, 12306, 7456, 106, 1598, 1163, 4120, 1239, 8452, 1110, 4013, 1560, 7641, 2367, 1201, 10553, 1161, 13402, 1173, 4363, 5149, 4537, 106, 106, 4515, 1239, 3275, 1446, 488, 132, 1675, 1163, 488, 128, 12869, 1147, 16522, 1171, 1446, 488, 132, 1675, 1163, 488, 130, 12869, 1147, 21505, 1657, 106, 106, 161, 1662, 1212, 3033, 106, 153, 1570, 1269, 488, 129, 123, 119, 123, 123, 123, 15846, 4482, 5278, 1341, 1147, 1135, 1940, 2197, 3162, 1161, 3025, 2392, 106, 9890, 6017, 1602, 1110, 13650, 20660, 1186, 1800, 3554, 1324, 1110, 16594, 2192, 14990, 12421, 13290, 1135, 4971, 1161, 1135, 1173, 4363, 5149, 1109, 1198, 1246, 1657, 106, 1598, 1173, 4363, 5149, 1109, 1198, 2428, 1501, 7467, 1110, 7142, 25331, 1602, 2019, 11632, 2458, 1355, 1135, 3263, 1161, 1135, 28486, 1657, 106, 106, 1428, 14225, 106, 106, 1598, 1163, 4120, 1239, 19802, 1147, 1135, 14962, 1161, 1135, 1940, 7674, 1161, 1135, 6353, 246, 21735, 29989, 1430, 28599, 6679, 1653, 8919, 1161, 1643, 1153, 7821, 10255, 2718, 5663, 109, 1449, 28576, 1202, 6897, 244, 250, 1175, 125, 123, 124, 126, 1576, 106, 4515, 15751, 1110, 8677, 5897, 1171, 1239, 19802, 1238, 1135, 5089, 1161, 1135, 10704, 31560, 4307, 1767, 1138, 10483, 1366, 109, 1449, 2571, 18325, 1233, 10713, 182, 2433, 1135, 1940, 1910, 1161, 1135, 1350, 1276, 1124, 1141, 1337, 1173, 15324, 1175, 125, 123, 125, 125, 1576, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 2606, 21836, 1125, 1306, 1770, 119, 26881, 30715, 13348, 21836, 14609, 1824, 2554, 1810, 3031, 1189, 21836, 17023, 1227, 8579, 4716, 3495, 244, 1835, 488, 124, 131, 128, 128, 1167, 488, 124, 132, 124, 131, 121, 106, 106, 5164, 18358, 1594, 1874, 1125, 1158, 3837, 30831, 1125, 1306, 1770, 119, 10019, 1313, 5613, 1573, 4524, 2393, 21162, 1768, 3031, 8446, 1300, 1158, 2811, 1196, 8030, 1125, 1158, 17451, 1197, 6398, 172, 1118, 1298, 1313, 1158, 3734, 9533, 14785, 1125, 1282, 2437, 172, 1118, 21194, 106, 106, 2606, 21836, 1125, 1306, 1770, 1110, 17413, 1170, 1874, 1125, 21836, 14609, 1824, 17368, 1125, 1561, 5735, 1186, 488, 124, 131, 128, 128, 15545, 488, 126, 124, 2584, 488, 124, 132, 124, 130, 121, 1653, 11012, 1527, 2515, 15801, 1313, 1158, 3650, 1125, 488, 124, 131, 128, 126, 1357, 6270, 1370, 1207, 15447, 1197, 1218, 16969, 20237, 1541, 19883, 1971, 22733, 5034, 1207, 1218, 16969, 7389, 1541, 1186, 488, 124, 131, 128, 128, 1496, 1170, 1874, 1125, 21836, 1304, 2437, 172, 1118, 21194, 2932, 1874, 4249, 1382, 27679, 1313, 1282, 1153, 5533, 106, 106, 5164, 1110, 26342, 2757, 1561, 5735, 2069, 1275, 1232, 1650, 1525, 1357, 2004, 30986, 15187, 1561, 23203, 4654, 1548, 3151, 1186, 488, 124, 131, 132, 130, 119, 4885, 2797, 1158, 13624, 1299, 1227, 21836, 1186, 2985, 23638, 1303, 1256, 6459, 1170, 21836, 1125, 7812, 7615, 1167, 1170, 2423, 1186, 488, 124, 132, 126, 123, 4885, 1158, 3247, 8030, 1227, 1218, 16438, 1186, 1844, 2797, 1561, 27929, 10278, 1158, 3837, 1125, 1306, 1770, 1167, 1909, 3997, 1285, 1110, 1913, 23638, 1303, 1256, 6459, 1170, 21836, 1125, 1293, 30801, 22514, 106, 106, 152, 6432, 3608, 2668, 1473, 1313, 1170, 21836, 106, 1686, 1408, 1197, 7389, 3608, 13523, 1104, 4845, 2687, 4277, 2962, 1207, 7389, 3608, 1197, 1218, 16969, 1125, 7812, 1378, 1167, 1125, 12519, 1314, 1334, 2180, 1473, 2567, 488, 124, 131, 132, 130, 4312, 2457, 3247, 1227, 21836, 14609, 1824, 17368, 7328, 1816, 20122, 1167, 2962, 1207, 7389, 3608, 1227, 21836, 1125, 1293, 30801, 1334, 2180, 1473, 2567, 488, 124, 132, 126, 123, 4312, 2457, 3247, 1227, 21836, 14609, 1824, 2554, 1810, 2648, 1306, 1770, 119, 7328, 1816, 3110, 121, 106, 106, 5164, 4866, 2038, 1318, 3000, 1107, 5815, 5958, 1207, 7389, 3608, 1125, 1293, 30801, 7011, 1202, 23177, 5264, 30801, 7011, 21908, 2333, 4880, 6432, 1902, 1125, 17578, 1496, 21908, 2333, 4880, 6432, 1902, 1125, 7130, 1496, 21908, 2333, 7480, 17936, 21908, 2333, 30967, 120, 2951, 4094, 30967, 1167, 21908, 2333, 9081, 12925, 121, 12427, 19146, 3100, 2008, 7389, 3608, 4312, 2457, 3247, 1227, 21836, 1125, 12519, 1314, 7011, 3042, 11471, 5963, 5987, 1366, 1125, 488, 124, 132, 125, 131, 1207, 2320, 1313, 1170, 21836, 1125, 1306, 1770, 121, 11272, 3265, 1748, 1389, 1125, 12519, 1314, 1334, 1256, 1158, 5456, 1125, 2008, 7389, 3608, 121, 106, 106, 146, 22857, 106, 106, 10534, 106, 2606, 21836, 1125, 1306, 1770, 119, 1313, 1909, 15447, 21469, 488, 124, 132, 126, 123, 119, 3031, 1189, 11852, 6940, 1946, 1124, 8841, 1257, 1188, 1561, 23139, 1317, 8030, 1281, 5428, 1370, 1170, 17578, 1125, 5370, 2621, 1227, 21836, 1125, 12519, 1314, 22514, 4511, 1282, 7965, 1527, 3031, 6676, 244, 12462, 1215, 1170, 17578, 1125, 31357, 20104, 1227, 21836, 1125, 12519, 1314, 1334, 1167, 1317, 14757, 20449, 1118, 7965, 1215, 1170, 17578, 1125, 1325, 2187, 5250, 1227, 21836, 1125, 1293, 30801, 22514, 488, 6604, 5719, 1335, 5242, 2797, 1561, 23139, 1227, 7758, 1115, 12167, 1158, 17451, 6398, 172, 1118, 1298, 1167, 1170, 21836, 1125, 3091, 2178, 2114, 1186, 18622, 1662, 2181, 106, 106, 9748, 4134, 106, 4455, 2069, 7077, 8030, 1227, 1218, 16438, 1313, 1909, 15447, 21469, 488, 124, 132, 126, 123, 119, 2004, 1189, 22200, 3034, 1460, 1227, 7358, 174, 4618, 12870, 11493, 11781, 1309, 1170, 7077, 7758, 1227, 21836, 11358, 1189, 9108, 3034, 15550, 1408, 21509, 2519, 1152, 1390, 3798, 106, 106, 4499, 1162, 106, 151, 1500, 1125, 1158, 3968, 1227, 21836, 14609, 1824, 17368, 1186, 488, 124, 131, 128, 128, 119, 1207, 11292, 1376, 1167, 2905, 20904, 22338, 10088, 1186, 4312, 2457, 18140, 1167, 1508, 23270, 3702, 1170, 21836, 1313, 6640, 3342, 1281, 1508, 11512, 1234, 1188, 1158, 3011, 1197, 1694, 4031, 1186, 5610, 1218, 191, 4413, 2499, 7153, 1207, 11292, 1376, 1125, 1306, 1770, 119, 1254, 1379, 4279, 1167, 12907, 21908, 2333, 1508, 9567, 1136, 1234, 1313, 1170, 21836, 14609, 1824, 17368, 11779, 8317, 1306, 1770, 1186, 488, 124, 132, 124, 131, 1576, 106, 106, 143, 1630, 1519, 1234, 1256, 6459, 7812, 7615, 2648, 12519, 1314, 1334, 106, 141, 3923, 20104, 106, 147, 1516, 11403, 106, 151, 5200, 1219, 1107, 106, 4929, 1182, 1105, 106, 3732, 14538, 1214, 1125, 1158, 28018, 6488, 1162, 106, 106, 143, 1630, 1519, 1234, 1256, 6459, 7812, 1378, 106, 5157, 19524, 106, 13772, 179, 3940, 106, 20510, 1140, 1246, 106, 4961, 2187, 106, 141, 3297, 1292, 1374, 106, 141, 1246, 1712, 106, 142, 1916, 20043, 106, 143, 29737, 106, 143, 1506, 4279, 106, 150, 4662, 17371, 106, 152, 174, 146, 1292, 106, 155, 1376, 1105, 3176, 106, 13001, 2621, 106, 157, 1461, 1105, 106, 158, 3205, 22843, 106, 161, 1292, 28862, 106, 162, 15972, 106, 106, 143, 1630, 1519, 1234, 1256, 6459, 1293, 30801, 1334, 106, 140, 1255, 1414, 106, 141, 11809, 5904, 106, 142, 14804, 1105, 106, 144, 1912, 106, 147, 1109, 1784, 190, 106, 150, 1462, 19524, 106, 151, 1246, 106, 4602, 180, 1118, 17174, 106, 152, 2215, 1174, 106, 153, 3036, 5250, 106, 162, 2187, 5250, 106, 106, 20634, 1167, 5474, 106, 106, 147, 1770, 106, 2437, 172, 1118, 1298, 32001, 488, 106, 32000, 20036, 106, 1598, 21384, 1161, 1306, 1770, 119, 12912, 5388, 1296, 20312, 17368, 21705, 1463, 1110, 17023, 21384, 1147, 5947, 12910, 1302, 1279, 7428, 2910, 488, 124, 131, 128, 128, 1171, 488, 124, 132, 124, 131, 121, 106, 106, 4515, 7175, 2019, 2220, 1446, 1135, 6938, 5100, 1161, 1306, 1770, 119, 8452, 1147, 8961, 4524, 2393, 21162, 1988, 1463, 8452, 1238, 1135, 10537, 8617, 1161, 1135, 6398, 172, 1118, 1298, 11662, 1147, 1135, 3224, 9533, 6054, 1161, 6398, 172, 1118, 21194, 106, 106, 1598, 21384, 1161, 1306, 1770, 1463, 9463, 20312, 17368, 7580, 1446, 2019, 15418, 1147, 488, 124, 131, 128, 128, 4945, 7262, 488, 126, 124, 119, 488, 124, 132, 124, 130, 121, 1459, 13255, 1147, 1135, 488, 124, 131, 128, 126, 3876, 1302, 14452, 1135, 8192, 8336, 1161, 1135, 14202, 11185, 3240, 3088, 17926, 7905, 17023, 3240, 3088, 1147, 488, 124, 131, 128, 128, 1496, 1341, 1463, 4494, 6398, 172, 1118, 1298, 7580, 121, 2192, 2220, 1463, 1375, 2629, 121, 106, 106, 158, 2588, 2019, 2050, 2071, 1341, 1602, 2670, 178, 1438, 2197, 1513, 6351, 1525, 1758, 1537, 16997, 16356, 2019, 29837, 121, 1410, 1940, 1147, 488, 124, 131, 132, 130, 119, 2043, 1135, 6782, 3966, 1847, 6681, 1161, 1135, 21384, 1463, 4594, 6359, 1163, 1830, 7812, 1378, 21705, 1171, 1135, 2423, 1147, 488, 124, 132, 126, 123, 2043, 1135, 24986, 1910, 1161, 1135, 3240, 15106, 1147, 13255, 2019, 6782, 29837, 5547, 1135, 5100, 1161, 1306, 1770, 1171, 2019, 12035, 14369, 1463, 4594, 6359, 1163, 1830, 1293, 30801, 1334, 7580, 121, 106, 106, 152, 6432, 1132, 2695, 8452, 1147, 1135, 21384, 106, 1428, 4125, 1163, 1135, 17023, 2695, 9517, 5734, 119, 1543, 17023, 2695, 1147, 7812, 1378, 1171, 12519, 1314, 1334, 3240, 3088, 5772, 2979, 488, 124, 131, 132, 130, 2025, 1910, 1161, 20312, 17368, 7580, 4945, 1302, 20122, 1171, 1543, 17023, 2695, 1147, 1293, 30801, 1334, 7580, 5772, 2979, 488, 124, 132, 126, 123, 2025, 1910, 1161, 20312, 17368, 21705, 2491, 1306, 1770, 119, 4945, 1302, 3110, 121, 106, 106, 10517, 1239, 20482, 1433, 11947, 1135, 17023, 2695, 1161, 1293, 30801, 7011, 1202, 23177, 5264, 30801, 7011, 21908, 2333, 8705, 1782, 10505, 7389, 3258, 1496, 21908, 2333, 9321, 4824, 7389, 3258, 1496, 21908, 2333, 7480, 1573, 119, 21908, 2333, 7480, 1573, 3486, 1516, 7480, 1573, 1171, 21908, 2333, 12013, 17778, 14865, 1163, 19146, 3100, 2484, 17023, 2695, 2025, 1910, 1161, 12519, 1314, 1334, 21705, 2884, 1110, 5303, 5065, 1446, 488, 124, 132, 125, 131, 8365, 2182, 1147, 1306, 1770, 7580, 121, 7007, 1135, 12519, 1314, 1334, 7580, 3477, 1226, 1110, 5456, 1161, 2484, 17023, 10585, 106, 106, 13543, 11114, 106, 106, 10534, 106, 147, 1770, 21705, 4230, 2019, 8192, 8336, 2470, 488, 124, 132, 126, 123, 119, 1463, 1151, 26691, 5748, 11852, 6940, 133, 1163, 2019, 24986, 11126, 1463, 1135, 5370, 2621, 8046, 10505, 1161, 12519, 1314, 1334, 7580, 121, 3867, 1135, 19718, 119, 1341, 1463, 18228, 11126, 1156, 1449, 1135, 31357, 20104, 8046, 10505, 1161, 12519, 1314, 1334, 7580, 1171, 1147, 1135, 10537, 14654, 1947, 16781, 1449, 1135, 1325, 2187, 5250, 8046, 10505, 1161, 1293, 30801, 1334, 7580, 121, 2502, 1135, 10553, 28339, 2019, 6782, 23763, 11126, 17326, 4957, 1135, 6398, 172, 1118, 1298, 11662, 1171, 3091, 17688, 21705, 18622, 1662, 2181, 488, 106, 106, 9748, 11114, 106, 1598, 24986, 2197, 4922, 3456, 190, 1161, 1135, 3240, 15106, 4230, 2019, 8192, 8336, 2470, 488, 124, 132, 126, 123, 119, 1537, 1110, 19787, 14742, 2460, 2006, 28568, 19863, 2884, 1135, 23763, 4823, 1161, 1135, 21384, 1602, 1110, 16445, 1540, 2090, 9108, 1161, 1110, 1713, 1126, 2305, 106, 106, 4499, 1162, 106, 5395, 1135, 3968, 1161, 20312, 17368, 7580, 1147, 488, 124, 131, 128, 128, 119, 1135, 3602, 8046, 2393, 7164, 1171, 2017, 13544, 13880, 2025, 1910, 1161, 6409, 1171, 1393, 12031, 6612, 1163, 1135, 21384, 1147, 1758, 1799, 15200, 1806, 1296, 1110, 2270, 1161, 1135, 14738, 1953, 2127, 2017, 3240, 7861, 13891, 1135, 8046, 2393, 7164, 1161, 1306, 1770, 119, 1254, 1379, 15151, 1171, 7850, 21908, 2333, 20642, 1147, 20312, 17368, 7580, 6256, 1168, 10685, 1306, 1770, 1147, 488, 124, 132, 124, 131, 1576, 106, 106, 8834, 6359, 1163, 1830, 7812, 7615, 2491, 12519, 1314, 1334, 106, 141, 3923, 20104, 106, 147, 1516, 11403, 106, 151, 5200, 1219, 1107, 106, 4929, 1182, 1105, 106, 3732, 14538, 1214, 1125, 1158, 28018, 6488, 1162, 106, 106, 8834, 6359, 1163, 1830, 7812, 1378, 106, 5157, 19524, 106, 13772, 179, 3940, 106, 20510, 1140, 1246, 106, 4961, 2187, 106, 141, 3297, 1292, 1374, 106, 141, 1246, 1712, 106, 142, 1916, 20043, 106, 143, 29737, 106, 143, 1506, 4279, 106, 150, 4662, 17371, 106, 152, 174, 146, 1292, 106, 155, 1376, 1105, 3176, 106, 13001, 2621, 106, 157, 1461, 1105, 106, 158, 3205, 22843, 106, 161, 1292, 28862, 106, 162, 15972, 106, 106, 8834, 6359, 1163, 1830, 1293, 30801, 1334, 106, 140, 1255, 1414, 106, 141, 11809, 5904, 106, 142, 14804, 1105, 106, 144, 1912, 106, 147, 1109, 1784, 190, 106, 150, 1462, 19524, 106, 151, 1246, 106, 4602, 180, 1118, 17174, 106, 152, 2215, 1174, 106, 153, 3036, 5250, 106, 162, 2187, 5250, 106, 106, 20634, 1171, 22874, 106, 106, 147, 1770, 106, 2437, 172, 1118, 1298, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 21384, 1161, 1306, 1770, 119, 12912, 5388, 1296, 20312, 17368, 21705, 1463, 1110, 17023, 21384, 1147, 5947, 12910, 1302, 1279, 7428, 2910, 488, 124, 131, 128, 128, 1171, 488, 124, 132, 124, 131, 121, 106, 106, 4515, 7175, 2019, 2220, 1446, 1135, 6938, 5100, 1161, 1306, 1770, 119, 8452, 1147, 8961, 4524, 2393, 21162, 1988, 1463, 8452, 1238, 1135, 10537, 8617, 1161, 1135, 6398, 172, 1118, 1298, 11662, 1147, 1135, 3224, 9533, 6054, 1161, 6398, 172, 1118, 21194, 106, 106, 1598, 21384, 1161, 1306, 1770, 1463, 9463, 20312, 17368, 7580, 1446, 2019, 15418, 1147, 488, 124, 131, 128, 128, 4945, 7262, 488, 126, 124, 119, 488, 124, 132, 124, 130, 121, 1459, 13255, 1147, 1135, 488, 124, 131, 128, 126, 3876, 1302, 14452, 1135, 8192, 8336, 1161, 1135, 14202, 11185, 3240, 3088, 17926, 7905, 17023, 3240, 3088, 1147, 488, 124, 131, 128, 128, 1496, 1341, 1463, 4494, 6398, 172, 1118, 1298, 7580, 121, 2192, 2220, 1463, 1375, 2629, 121, 106, 106, 158, 2588, 2019, 2050, 2071, 1341, 1602, 2670, 178, 1438, 2197, 1513, 6351, 1525, 1758, 1537, 16997, 16356, 2019, 29837, 121, 1410, 1940, 1147, 488, 124, 131, 132, 130, 119, 2043, 1135, 6782, 3966, 1847, 6681, 1161, 1135, 21384, 1463, 4594, 6359, 1163, 1830, 7812, 1378, 21705, 1171, 1135, 2423, 1147, 488, 124, 132, 126, 123, 2043, 1135, 24986, 1910, 1161, 1135, 3240, 15106, 1147, 13255, 2019, 6782, 29837, 5547, 1135, 5100, 1161, 1306, 1770, 1171, 2019, 12035, 14369, 1463, 4594, 6359, 1163, 1830, 1293, 30801, 1334, 7580, 121, 106, 106, 152, 6432, 1132, 2695, 8452, 1147, 1135, 21384, 106, 1428, 4125, 1163, 1135, 17023, 2695, 9517, 5734, 119, 1543, 17023, 2695, 1147, 7812, 1378, 1171, 12519, 1314, 1334, 3240, 3088, 5772, 2979, 488, 124, 131, 132, 130, 2025, 1910, 1161, 20312, 17368, 7580, 4945, 1302, 20122, 1171, 1543, 17023, 2695, 1147, 1293, 30801, 1334, 7580, 5772, 2979, 488, 124, 132, 126, 123, 2025, 1910, 1161, 20312, 17368, 21705, 2491, 1306, 1770, 119, 4945, 1302, 3110, 121, 106, 106, 10517, 1239, 20482, 1433, 11947, 1135, 17023, 2695, 1161, 1293, 30801, 7011, 1202, 23177, 5264, 30801, 7011, 21908, 2333, 8705, 1782, 10505, 7389, 3258, 1496, 21908, 2333, 9321, 4824, 7389, 3258, 1496, 21908, 2333, 7480, 1573, 119, 21908, 2333, 7480, 1573, 3486, 1516, 7480, 1573, 1171, 21908, 2333, 12013, 17778, 14865, 1163, 19146, 3100, 2484, 17023, 2695, 2025, 1910, 1161, 12519, 1314, 1334, 21705, 2884, 1110, 5303, 5065, 1446, 488, 124, 132, 125, 131, 8365, 2182, 1147, 1306, 1770, 7580, 121, 7007, 1135, 12519, 1314, 1334, 7580, 3477, 1226, 1110, 5456, 1161, 2484, 17023, 10585, 106, 106, 13543, 11114, 106, 106, 10534, 106, 147, 1770, 21705, 4230, 2019, 8192, 8336, 2470, 488, 124, 132, 126, 123, 119, 1463, 1151, 26691, 5748, 11852, 6940, 133, 1163, 2019, 24986, 11126, 1463, 1135, 5370, 2621, 8046, 10505, 1161, 12519, 1314, 1334, 7580, 121, 3867, 1135, 19718, 119, 1341, 1463, 18228, 11126, 1156, 1449, 1135, 31357, 20104, 8046, 10505, 1161, 12519, 1314, 1334, 7580, 1171, 1147, 1135, 10537, 14654, 1947, 16781, 1449, 1135, 1325, 2187, 5250, 8046, 10505, 1161, 1293, 30801, 1334, 7580, 121, 2502, 1135, 10553, 28339, 2019, 6782, 23763, 11126, 17326, 4957, 1135, 6398, 172, 1118, 1298, 11662, 1171, 3091, 17688, 21705, 18622, 1662, 2181, 488, 106, 106, 9748, 11114, 106, 1598, 24986, 2197, 4922, 3456, 190, 1161, 1135, 3240, 15106, 4230, 2019, 8192, 8336, 2470, 488, 124, 132, 126, 123, 119, 1537, 1110, 19787, 14742, 2460, 2006, 28568, 19863, 2884, 1135, 23763, 4823, 1161, 1135, 21384, 1602, 1110, 16445, 1540, 2090, 9108, 1161, 1110, 1713, 1126, 2305, 106, 106, 4499, 1162, 106, 5395, 1135, 3968, 1161, 20312, 17368, 7580, 1147, 488, 124, 131, 128, 128, 119, 1135, 3602, 8046, 2393, 7164, 1171, 2017, 13544, 13880, 2025, 1910, 1161, 6409, 1171, 1393, 12031, 6612, 1163, 1135, 21384, 1147, 1758, 1799, 15200, 1806, 1296, 1110, 2270, 1161, 1135, 14738, 1953, 2127, 2017, 3240, 7861, 13891, 1135, 8046, 2393, 7164, 1161, 1306, 1770, 119, 1254, 1379, 15151, 1171, 7850, 21908, 2333, 20642, 1147, 20312, 17368, 7580, 6256, 1168, 10685, 1306, 1770, 1147, 488, 124, 132, 124, 131, 1576, 106, 106, 8834, 6359, 1163, 1830, 7812, 7615, 2491, 12519, 1314, 1334, 106, 141, 3923, 20104, 106, 147, 1516, 11403, 106, 151, 5200, 1219, 1107, 106, 4929, 1182, 1105, 106, 3732, 14538, 1214, 1125, 1158, 28018, 6488, 1162, 106, 106, 8834, 6359, 1163, 1830, 7812, 1378, 106, 5157, 19524, 106, 13772, 179, 3940, 106, 20510, 1140, 1246, 106, 4961, 2187, 106, 141, 3297, 1292, 1374, 106, 141, 1246, 1712, 106, 142, 1916, 20043, 106, 143, 29737, 106, 143, 1506, 4279, 106, 150, 4662, 17371, 106, 152, 174, 146, 1292, 106, 155, 1376, 1105, 3176, 106, 13001, 2621, 106, 157, 1461, 1105, 106, 158, 3205, 22843, 106, 161, 1292, 28862, 106, 162, 15972, 106, 106, 8834, 6359, 1163, 1830, 1293, 30801, 1334, 106, 140, 1255, 1414, 106, 141, 11809, 5904, 106, 142, 14804, 1105, 106, 144, 1912, 106, 147, 1109, 1784, 190, 106, 150, 1462, 19524, 106, 151, 1246, 106, 4602, 180, 1118, 17174, 106, 152, 2215, 1174, 106, 153, 3036, 5250, 106, 162, 2187, 5250, 106, 106, 20634, 1171, 22874, 106, 106, 147, 1770, 106, 2437, 172, 1118, 1298, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 5318, 1239, 1110, 488, 125, 143, 20221, 6144, 3654, 9828, 1171, 8226, 1449, 13626, 150, 1147, 488, 124, 132, 132, 126, 1238, 4273, 3589, 13543, 186, 1204, 161, 5560, 4273, 3589, 13543, 186, 1192, 13898, 1171, 1147, 488, 124, 132, 132, 127, 1238, 4273, 3589, 13543, 186, 8175, 121, 1202, 5459, 1163, 15130, 7544, 1285, 1135, 3654, 19067, 1135, 10220, 1161, 1110, 2102, 6446, 1302, 12702, 4945, 488, 125, 123, 123, 128, 1324, 1135, 7834, 1161, 5950, 1136, 1558, 2460, 1259, 1782, 24305, 5778, 1507, 180, 1238, 3743, 1137, 1120, 194, 1435, 121, 106, 106, 11728, 5326, 106, 3681, 6434, 1341, 1239, 1135, 1940, 3654, 1147, 1135, 28599, 1135, 3654, 1361, 5013, 7175, 2320, 2910, 5950, 1136, 1558, 2460, 1259, 1782, 1175, 125, 123, 124, 132, 116, 1171, 5950, 1136, 1558, 2460, 1259, 1782, 7983, 133, 2893, 5493, 1161, 30351, 121, 106, 106, 13001, 106, 1428, 4125, 1163, 1135, 4273, 186, 4189, 186, 3451, 119, 1135, 5783, 1239, 1113, 5459, 1163, 5057, 7544, 1285, 3813, 1135, 7673, 26522, 1171, 11063, 13436, 1226, 26522, 134, 1135, 4020, 6110, 20864, 119, 11063, 1293, 1570, 119, 4020, 6110, 3926, 143, 1226, 2499, 178, 1810, 1296, 2632, 1296, 1238, 488, 126, 143, 16282, 27961, 14284, 1285, 1171, 9028, 2003, 2392, 1410, 5797, 7621, 12046, 1393, 29722, 1449, 1135, 4571, 24212, 1124, 1810, 1135, 488, 126, 143, 154, 3451, 1239, 1113, 5459, 1238, 8175, 120, 9804, 1449, 27444, 18892, 30382, 3674, 1171, 1449, 21375, 1437, 1226, 1135, 4020, 6110, 3926, 143, 2515, 121, 1410, 488, 126, 143, 154, 3451, 20110, 1151, 3856, 1163, 5591, 1135, 18554, 106, 106, 1598, 4020, 6110, 20864, 3451, 10104, 190, 10913, 24510, 119, 1758, 30461, 1110, 6195, 7710, 3545, 1110, 4710, 30421, 1410, 4020, 6110, 20864, 1171, 4020, 6110, 3926, 143, 12046, 1393, 1959, 29214, 1226, 1135, 17977, 1161, 1135, 5080, 13220, 1134, 2187, 1171, 1135, 7889, 1147, 1758, 1386, 8394, 1297, 106, 106, 2003, 1696, 106, 1598, 3872, 7175, 2320, 1147, 6075, 3100, 16665, 2910, 488, 124, 130, 131, 131, 1171, 488, 124, 130, 131, 132, 121, 16424, 3088, 1393, 6762, 1324, 21915, 15776, 1135, 2179, 1161, 11378, 7023, 2563, 4656, 1125, 1159, 1141, 2754, 1329, 1375, 4554, 1163, 1280, 9204, 1355, 1302, 7824, 106, 106, 16715, 3059, 106, 25511, 2827, 15979, 1135, 9165, 25437, 1161, 10273, 1252, 20151, 19368, 5950, 1136, 1558, 2460, 1259, 1782, 17502, 1104, 2019, 3654, 3059, 1324, 15130, 9196, 1285, 2536, 1296, 1135, 2179, 1161, 7502, 21015, 7816, 1110, 1202, 8913, 1185, 25049, 1302, 1131, 6693, 1806, 3545, 9524, 1171, 8647, 1226, 1792, 12390, 21554, 9951, 5016, 1161, 1131, 4532, 3688, 1496, 1329, 1110, 24510, 2935, 6670, 1163, 1302, 1161, 8080, 1161, 1252, 1580, 2241, 106, 106, 7914, 1551, 1201, 106, 147, 172, 2562, 4540, 192, 18993, 10046, 1105, 1267, 116, 106, 153, 1569, 1121, 29513, 106, 7914, 183, 7416, 106, 144, 8339, 1134, 2187, 106, 146, 4937, 1404, 106, 18843, 1119, 2460, 1187, 1119, 1670, 106, 147, 11769, 186, 1306, 2251, 1121, 2433, 5080, 17818, 1449, 1306, 11769, 280, 1306, 2251, 6533, 106, 149, 4653, 180, 1671, 1193, 196, 4353, 17818, 1449, 1671, 1193, 196, 289, 1321, 289, 1897, 180, 1204, 1953, 5173, 1180, 8445, 106, 150, 196, 1180, 8445, 1150, 8689, 1857, 186, 106, 159, 1174, 18252, 106, 160, 6200, 186, 1198, 1519, 1456, 4436, 106, 162, 1119, 177, 192, 106, 4506, 9249, 16275, 1120, 4180, 4148, 1569, 1153, 1810, 1135, 30216, 1285, 17818, 1449, 2460, 1187, 280, 4148, 1569, 1153, 172, 106, 106, 1891, 2092, 106, 1598, 22788, 12574, 24081, 5182, 9429, 1110, 8194, 1161, 488, 132, 123, 112, 1163, 1135, 4020, 6110, 3926, 143, 3451, 1161, 5950, 1136, 1558, 2460, 1259, 1782, 119, 1375, 1149, 1135, 12234, 2695, 1161, 1135, 5379, 3451, 2257, 16251, 1226, 1413, 2515, 13715, 1957, 5908, 14716, 1297, 1410, 12574, 3480, 4042, 1563, 11256, 2026, 1135, 4020, 6110, 20864, 2515, 1324, 1110, 8194, 1161, 488, 132, 126, 119, 17708, 1149, 1302, 1135, 2515, 1239, 1110, 3210, 4408, 1435, 1226, 1135, 17800, 1171, 1302, 1341, 1239, 1135, 2481, 13413, 2420, 3451, 121, 106, 106, 149, 1487, 190, 7911, 9429, 1135, 488, 126, 143, 154, 5806, 5802, 14322, 14651, 2515, 1110, 8194, 1161, 488, 132, 123, 119, 1324, 1946, 30568, 1364, 4403, 1663, 1324, 1135, 3821, 2164, 2554, 1161, 17986, 12529, 6329, 6159, 121, 1410, 2994, 24614, 1163, 6959, 2857, 488, 127, 23629, 1135, 12026, 1161, 1135, 488, 126, 143, 154, 3451, 1161, 1135, 17863, 1758, 9429, 1341, 1110, 8194, 1161, 488, 131, 125, 17041, 106, 106, 26722, 14520, 106, 7089, 11076, 4877, 106, 1598, 5950, 1136, 1558, 2460, 1259, 1782, 6446, 1238, 8413, 1130, 3441, 153, 150, 106, 106, 145, 1580, 1149, 6144, 3654, 106, 21403, 3654, 9578, 1147, 488, 124, 132, 132, 126, 106, 12289, 3589, 13543, 186, 1204, 161, 158, 3654, 106, 12289, 3589, 13543, 186, 1192, 1592, 3654, 106, 12289, 3589, 13543, 186, 8175, 3654, 106, 126, 143, 154, 3654, 106, 28585, 14284, 190, 3654, 106, 16715, 13436, 3654, 106, 16715, 1293, 1570, 3654, 106, 11003, 6110, 3926, 143, 3654, 106, 11003, 6110, 20864, 3654, 106, 158, 9230, 26522, 3654, 106, 163, 4462, 488, 126, 129, 123, 3654, 106, 16715, 1238, 1135, 1325, 7703, 25003, 3480, 1731, 106, 163, 4462, 13727, 18246, 2240, 3654, 106, 21403, 3654, 9828, 1147, 9844, 106, 158, 1174, 1136, 1558, 2460, 1259, 1782, 32001, 488, 106, 32000, 20036, 106, 142, 2119, 1189, 5047, 6327, 1125, 9524, 1186, 488, 125, 143, 15519, 1167, 8325, 1348, 1215, 13626, 150, 1186, 488, 124, 132, 132, 126, 1300, 4273, 3589, 13543, 186, 1204, 161, 5560, 4273, 3589, 13543, 186, 1192, 1592, 1167, 1186, 488, 124, 132, 132, 127, 1300, 4273, 3589, 13543, 186, 8175, 121, 5370, 244, 1300, 1125, 6344, 5331, 1434, 1346, 1170, 5047, 21837, 172, 1170, 4319, 2519, 9186, 4726, 1357, 8135, 18280, 1214, 22571, 488, 125, 123, 123, 128, 1469, 1158, 8969, 1125, 5950, 1136, 1558, 2460, 1259, 1782, 24305, 5778, 1507, 180, 1300, 3743, 1137, 1120, 194, 1435, 121, 106, 106, 2330, 2548, 4058, 488, 106, 141, 1354, 1309, 1440, 2666, 1170, 3151, 5047, 1125, 1158, 1114, 22729, 13400, 1227, 5047, 1281, 23408, 1835, 5950, 1136, 1558, 2460, 1259, 1782, 1175, 125, 123, 124, 132, 116, 1167, 5950, 1136, 1558, 2460, 1259, 1782, 7983, 133, 2893, 5493, 1161, 30351, 121, 106, 106, 13001, 1272, 488, 106, 106, 1686, 1408, 1125, 1158, 3451, 4273, 186, 4189, 2086, 1170, 3694, 1299, 17413, 1300, 3171, 31377, 26317, 1346, 23587, 1158, 7673, 26522, 1167, 1158, 11063, 13436, 1256, 1170, 28431, 26522, 2040, 1158, 4020, 6110, 20864, 119, 11063, 1293, 1570, 119, 4020, 6110, 3926, 143, 3523, 2499, 6110, 2442, 1309, 1300, 488, 126, 143, 16282, 27961, 14284, 190, 1167, 9028, 2003, 2392, 1808, 12046, 5797, 1118, 2942, 1508, 1185, 16702, 1215, 10319, 24212, 1124, 1810, 1158, 3451, 488, 126, 143, 154, 1299, 14584, 1300, 8175, 120, 9804, 1215, 27444, 18892, 30382, 3674, 1167, 1215, 21375, 1437, 1256, 1170, 2515, 1272, 1300, 4020, 6110, 3926, 16434, 1643, 3451, 488, 126, 143, 154, 17638, 1318, 3856, 1256, 15728, 15423, 1170, 5047, 121, 106, 106, 3562, 3451, 4020, 6110, 20864, 1299, 11069, 1227, 24510, 8554, 119, 1357, 27209, 1189, 6596, 2678, 2391, 2519, 3872, 2671, 12970, 1808, 12046, 4020, 6110, 20864, 1167, 4020, 6110, 3926, 143, 1508, 2445, 1557, 14627, 1215, 20400, 1227, 14514, 1125, 13220, 1134, 2187, 2442, 1309, 1594, 11401, 1313, 6640, 1527, 3254, 6093, 106, 106, 30609, 488, 106, 6880, 2535, 1281, 23408, 1317, 6075, 2114, 1408, 20305, 1835, 488, 124, 130, 131, 131, 1167, 488, 124, 130, 131, 132, 121, 3190, 18873, 1508, 12469, 1469, 18163, 3833, 119, 7037, 9689, 1125, 14115, 8504, 2563, 3839, 19262, 1362, 1288, 11755, 1823, 1139, 1234, 1188, 1816, 4927, 121, 106, 106, 158, 20744, 1125, 5047, 488, 106, 159, 1261, 1186, 2888, 4283, 1207, 11225, 1125, 2989, 1125, 10273, 1252, 20151, 19368, 5950, 1136, 1558, 2460, 1259, 1782, 4715, 1594, 3654, 3059, 17502, 180, 1125, 6344, 9196, 1285, 1856, 9689, 11734, 1623, 30124, 1346, 1318, 1225, 25049, 1202, 8913, 1281, 7639, 4658, 1317, 1962, 1227, 9524, 1167, 7037, 1125, 24159, 2021, 1197, 28775, 1408, 11348, 2972, 1175, 1515, 9083, 1125, 15756, 1125, 4639, 1214, 1496, 1362, 1189, 4367, 1125, 24510, 22323, 1188, 3977, 17194, 191, 1161, 1252, 1580, 2241, 106, 106, 155, 7849, 1741, 488, 106, 147, 172, 2562, 4540, 192, 18993, 10046, 1105, 2038, 116, 106, 153, 1569, 1121, 29513, 106, 7914, 183, 7416, 106, 144, 8339, 1134, 2187, 106, 146, 4937, 1404, 106, 18843, 1119, 2460, 1187, 1119, 1670, 106, 147, 11769, 186, 1306, 2251, 1121, 2433, 14514, 29721, 1125, 1306, 11769, 280, 1306, 2251, 6533, 106, 149, 4653, 180, 1671, 1193, 196, 4353, 29721, 1125, 1671, 1193, 196, 289, 1321, 289, 1897, 180, 1204, 1953, 5173, 1180, 8445, 106, 150, 196, 1180, 8445, 1150, 8689, 1857, 186, 106, 159, 1174, 18252, 106, 160, 6200, 186, 1198, 1519, 1456, 4436, 106, 162, 1119, 177, 192, 106, 4506, 9249, 16275, 1120, 4180, 4148, 1569, 1153, 1810, 1170, 30216, 1285, 29721, 1125, 2460, 1187, 280, 4148, 1569, 1153, 172, 106, 106, 8321, 4316, 488, 106, 106, 2606, 24445, 24081, 5182, 2125, 17321, 1318, 5698, 1125, 488, 132, 123, 112, 1188, 1158, 3451, 4020, 6110, 3926, 143, 1125, 5950, 1136, 1558, 2460, 1259, 1782, 119, 1375, 1199, 1207, 20006, 1125, 1158, 3451, 17482, 29735, 1256, 1440, 2515, 1272, 10336, 4345, 14716, 190, 12863, 1507, 5533, 1548, 12574, 3480, 4042, 1563, 1253, 2745, 1170, 2515, 1272, 4020, 6110, 20864, 1469, 1318, 5698, 1125, 488, 132, 126, 119, 7340, 12397, 1309, 1170, 2515, 1272, 1299, 1189, 30747, 1256, 1158, 17800, 1167, 3365, 10515, 1125, 1158, 3451, 1158, 1408, 31772, 121, 106, 106, 149, 1487, 190, 7911, 5698, 1170, 2515, 1272, 488, 126, 143, 154, 5806, 5802, 14322, 14651, 1469, 1318, 5698, 1125, 488, 132, 123, 119, 1469, 1318, 4403, 22902, 1698, 1210, 1364, 1723, 1357, 1110, 1256, 6596, 6199, 1318, 3707, 28713, 18891, 5373, 1237, 9770, 16343, 9697, 1256, 6959, 2857, 488, 127, 5958, 1282, 24927, 1227, 5047, 1125, 1158, 3451, 488, 126, 143, 16282, 1357, 2435, 13216, 1150, 1214, 1158, 5698, 1125, 488, 131, 125, 17041, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 158, 1174, 1136, 1558, 2460, 1259, 1782, 106, 151, 1398, 1460, 1227, 5047, 1125, 9524, 106, 106, 28870, 5825, 488, 106, 106, 27566, 9229, 106, 3562, 4726, 5950, 1136, 1558, 2460, 1259, 1782, 1300, 8413, 1130, 3441, 153, 150, 106, 106, 5522, 192, 6327, 1125, 9524, 106, 5522, 192, 6327, 9665, 1186, 488, 124, 132, 132, 126, 106, 5522, 192, 4273, 3589, 13543, 186, 1204, 161, 158, 106, 5522, 192, 4273, 3589, 13543, 186, 1192, 1592, 106, 5522, 192, 4273, 3589, 13543, 186, 8175, 106, 5522, 192, 488, 126, 143, 154, 106, 5522, 192, 27961, 14284, 190, 106, 5522, 192, 11063, 13436, 106, 5522, 192, 11063, 1293, 1570, 106, 5522, 192, 4020, 6110, 3926, 143, 106, 5522, 192, 4020, 6110, 20864, 106, 5522, 192, 7673, 26522, 106, 5522, 192, 25196, 488, 126, 129, 123, 106, 5522, 192, 1300, 1158, 17800, 10011, 1378, 1125, 1158, 1325, 7703, 106, 5522, 192, 25196, 13727, 18246, 2240, 106, 5522, 192, 6327, 15519, 1317, 14506, 106, 158, 1174, 1136, 1558, 2460, 1259, 1782, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 2119, 1189, 5047, 6327, 1125, 9524, 1186, 488, 125, 143, 15519, 1167, 8325, 1348, 1215, 13626, 150, 1186, 488, 124, 132, 132, 126, 1300, 4273, 3589, 13543, 186, 1204, 161, 5560, 4273, 3589, 13543, 186, 1192, 1592, 1167, 1186, 488, 124, 132, 132, 127, 1300, 4273, 3589, 13543, 186, 8175, 121, 5370, 244, 1300, 1125, 6344, 5331, 1434, 1346, 1170, 5047, 21837, 172, 1170, 4319, 2519, 9186, 4726, 1357, 8135, 18280, 1214, 22571, 488, 125, 123, 123, 128, 1469, 1158, 8969, 1125, 5950, 1136, 1558, 2460, 1259, 1782, 24305, 5778, 1507, 180, 1300, 3743, 1137, 1120, 194, 1435, 121, 106, 106, 2330, 2548, 4058, 488, 106, 141, 1354, 1309, 1440, 2666, 1170, 3151, 5047, 1125, 1158, 1114, 22729, 13400, 1227, 5047, 1281, 23408, 1835, 5950, 1136, 1558, 2460, 1259, 1782, 1175, 125, 123, 124, 132, 116, 1167, 5950, 1136, 1558, 2460, 1259, 1782, 7983, 133, 2893, 5493, 1161, 30351, 121, 106, 106, 13001, 1272, 488, 106, 106, 1686, 1408, 1125, 1158, 3451, 4273, 186, 4189, 2086, 1170, 3694, 1299, 17413, 1300, 3171, 31377, 26317, 1346, 23587, 1158, 7673, 26522, 1167, 1158, 11063, 13436, 1256, 1170, 28431, 26522, 2040, 1158, 4020, 6110, 20864, 119, 11063, 1293, 1570, 119, 4020, 6110, 3926, 143, 3523, 2499, 6110, 2442, 1309, 1300, 488, 126, 143, 16282, 27961, 14284, 190, 1167, 9028, 2003, 2392, 1808, 12046, 5797, 1118, 2942, 1508, 1185, 16702, 1215, 10319, 24212, 1124, 1810, 1158, 3451, 488, 126, 143, 154, 1299, 14584, 1300, 8175, 120, 9804, 1215, 27444, 18892, 30382, 3674, 1167, 1215, 21375, 1437, 1256, 1170, 2515, 1272, 1300, 4020, 6110, 3926, 16434, 1643, 3451, 488, 126, 143, 154, 17638, 1318, 3856, 1256, 15728, 15423, 1170, 5047, 121, 106, 106, 3562, 3451, 4020, 6110, 20864, 1299, 11069, 1227, 24510, 8554, 119, 1357, 27209, 1189, 6596, 2678, 2391, 2519, 3872, 2671, 12970, 1808, 12046, 4020, 6110, 20864, 1167, 4020, 6110, 3926, 143, 1508, 2445, 1557, 14627, 1215, 20400, 1227, 14514, 1125, 13220, 1134, 2187, 2442, 1309, 1594, 11401, 1313, 6640, 1527, 3254, 6093, 106, 106, 30609, 488, 106, 6880, 2535, 1281, 23408, 1317, 6075, 2114, 1408, 20305, 1835, 488, 124, 130, 131, 131, 1167, 488, 124, 130, 131, 132, 121, 3190, 18873, 1508, 12469, 1469, 18163, 3833, 119, 7037, 9689, 1125, 14115, 8504, 2563, 3839, 19262, 1362, 1288, 11755, 1823, 1139, 1234, 1188, 1816, 4927, 121, 106, 106, 158, 20744, 1125, 5047, 488, 106, 159, 1261, 1186, 2888, 4283, 1207, 11225, 1125, 2989, 1125, 10273, 1252, 20151, 19368, 5950, 1136, 1558, 2460, 1259, 1782, 4715, 1594, 3654, 3059, 17502, 180, 1125, 6344, 9196, 1285, 1856, 9689, 11734, 1623, 30124, 1346, 1318, 1225, 25049, 1202, 8913, 1281, 7639, 4658, 1317, 1962, 1227, 9524, 1167, 7037, 1125, 24159, 2021, 1197, 28775, 1408, 11348, 2972, 1175, 1515, 9083, 1125, 15756, 1125, 4639, 1214, 1496, 1362, 1189, 4367, 1125, 24510, 22323, 1188, 3977, 17194, 191, 1161, 1252, 1580, 2241, 106, 106, 155, 7849, 1741, 488, 106, 147, 172, 2562, 4540, 192, 18993, 10046, 1105, 2038, 116, 106, 153, 1569, 1121, 29513, 106, 7914, 183, 7416, 106, 144, 8339, 1134, 2187, 106, 146, 4937, 1404, 106, 18843, 1119, 2460, 1187, 1119, 1670, 106, 147, 11769, 186, 1306, 2251, 1121, 2433, 14514, 29721, 1125, 1306, 11769, 280, 1306, 2251, 6533, 106, 149, 4653, 180, 1671, 1193, 196, 4353, 29721, 1125, 1671, 1193, 196, 289, 1321, 289, 1897, 180, 1204, 1953, 5173, 1180, 8445, 106, 150, 196, 1180, 8445, 1150, 8689, 1857, 186, 106, 159, 1174, 18252, 106, 160, 6200, 186, 1198, 1519, 1456, 4436, 106, 162, 1119, 177, 192, 106, 4506, 9249, 16275, 1120, 4180, 4148, 1569, 1153, 1810, 1170, 30216, 1285, 29721, 1125, 2460, 1187, 280, 4148, 1569, 1153, 172, 106, 106, 8321, 4316, 488, 106, 106, 2606, 24445, 24081, 5182, 2125, 17321, 1318, 5698, 1125, 488, 132, 123, 112, 1188, 1158, 3451, 4020, 6110, 3926, 143, 1125, 5950, 1136, 1558, 2460, 1259, 1782, 119, 1375, 1199, 1207, 20006, 1125, 1158, 3451, 17482, 29735, 1256, 1440, 2515, 1272, 10336, 4345, 14716, 190, 12863, 1507, 5533, 1548, 12574, 3480, 4042, 1563, 1253, 2745, 1170, 2515, 1272, 4020, 6110, 20864, 1469, 1318, 5698, 1125, 488, 132, 126, 119, 7340, 12397, 1309, 1170, 2515, 1272, 1299, 1189, 30747, 1256, 1158, 17800, 1167, 3365, 10515, 1125, 1158, 3451, 1158, 1408, 31772, 121, 106, 106, 149, 1487, 190, 7911, 5698, 1170, 2515, 1272, 488, 126, 143, 154, 5806, 5802, 14322, 14651, 1469, 1318, 5698, 1125, 488, 132, 123, 119, 1469, 1318, 4403, 22902, 1698, 1210, 1364, 1723, 1357, 1110, 1256, 6596, 6199, 1318, 3707, 28713, 18891, 5373, 1237, 9770, 16343, 9697, 1256, 6959, 2857, 488, 127, 5958, 1282, 24927, 1227, 5047, 1125, 1158, 3451, 488, 126, 143, 16282, 1357, 2435, 13216, 1150, 1214, 1158, 5698, 1125, 488, 131, 125, 17041, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 158, 1174, 1136, 1558, 2460, 1259, 1782, 106, 151, 1398, 1460, 1227, 5047, 1125, 9524, 106, 106, 28870, 5825, 488, 106, 106, 27566, 9229, 106, 3562, 4726, 5950, 1136, 1558, 2460, 1259, 1782, 1300, 8413, 1130, 3441, 153, 150, 106, 106, 5522, 192, 6327, 1125, 9524, 106, 5522, 192, 6327, 9665, 1186, 488, 124, 132, 132, 126, 106, 5522, 192, 4273, 3589, 13543, 186, 1204, 161, 158, 106, 5522, 192, 4273, 3589, 13543, 186, 1192, 1592, 106, 5522, 192, 4273, 3589, 13543, 186, 8175, 106, 5522, 192, 488, 126, 143, 154, 106, 5522, 192, 27961, 14284, 190, 106, 5522, 192, 11063, 13436, 106, 5522, 192, 11063, 1293, 1570, 106, 5522, 192, 4020, 6110, 3926, 143, 106, 5522, 192, 4020, 6110, 20864, 106, 5522, 192, 7673, 26522, 106, 5522, 192, 25196, 488, 126, 129, 123, 106, 5522, 192, 1300, 1158, 17800, 10011, 1378, 1125, 1158, 1325, 7703, 106, 5522, 192, 25196, 13727, 18246, 2240, 106, 5522, 192, 6327, 15519, 1317, 14506, 106, 158, 1174, 1136, 1558, 2460, 1259, 1782, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 2606, 3569, 158, 6280, 1461, 1119, 6574, 11601, 120, 125, 116, 1299, 1189, 9378, 1149, 8670, 1146, 21429, 3675, 2198, 119, 27214, 1125, 6425, 1125, 1158, 5971, 13638, 17368, 1125, 1158, 4909, 6716, 27250, 3902, 1186, 2424, 1186, 488, 124, 132, 130, 130, 121, 1768, 1299, 1170, 6311, 27214, 1188, 10243, 1125, 1874, 1125, 1158, 16535, 1125, 6280, 1461, 1119, 26190, 2391, 1125, 1158, 12507, 1227, 11752, 11190, 1186, 488, 124, 132, 127, 127, 3672, 1158, 22925, 12507, 5549, 5907, 1768, 1110, 1913, 3902, 6696, 2424, 1170, 488, 124, 127, 2921, 488, 125, 123, 123, 130, 1167, 24511, 1188, 1158, 3175, 26081, 3202, 5907, 106, 106, 147, 15376, 488, 106, 158, 172, 1461, 1119, 3031, 1170, 6311, 1197, 7762, 26921, 2519, 3643, 5971, 1125, 27214, 16724, 1511, 1675, 1479, 1456, 1214, 28309, 1129, 1167, 11305, 15801, 1186, 1189, 4374, 2262, 1125, 3202, 6785, 1207, 8700, 26881, 30715, 7639, 1429, 1215, 5999, 4841, 5542, 133, 1170, 4148, 1479, 1456, 2662, 27653, 12917, 6574, 14346, 1496, 1170, 9378, 1149, 26928, 1222, 1652, 6574, 29422, 1496, 1170, 4148, 1479, 1456, 2662, 1116, 21088, 12917, 6574, 150, 12287, 1167, 1170, 9378, 1149, 2460, 1461, 1222, 1652, 8932, 11745, 1576, 1768, 3031, 10580, 1125, 4128, 1124, 3393, 1197, 6766, 2519, 4924, 1125, 4128, 16273, 1160, 1125, 12468, 9556, 1227, 25934, 1197, 1918, 2252, 1167, 1964, 21443, 1125, 8780, 1215, 4468, 4691, 1162, 1125, 4128, 16273, 2121, 1215, 17602, 1380, 9478, 1450, 1362, 1318, 25602, 1197, 2069, 121, 106, 106, 4887, 488, 106, 6880, 3488, 158, 6280, 1461, 1119, 1110, 13551, 1561, 9245, 10317, 6744, 1186, 2921, 488, 124, 132, 130, 132, 26639, 1110, 1913, 7208, 244, 1188, 1318, 9487, 3858, 2682, 1183, 10878, 1227, 5097, 6805, 8403, 1227, 27064, 1124, 1193, 8582, 3672, 1158, 6545, 10015, 1125, 1440, 19105, 106, 106, 1686, 2738, 488, 124, 132, 131, 123, 119, 1282, 3488, 158, 6280, 1461, 1119, 1110, 7645, 244, 1469, 1282, 2029, 2580, 6716, 18819, 3276, 1379, 1256, 6825, 1207, 31526, 16620, 1925, 4759, 1199, 1170, 4452, 5548, 1125, 7529, 1468, 1188, 14534, 1207, 9864, 2391, 1125, 1282, 1924, 1451, 1125, 13784, 7112, 1548, 488, 125, 2738, 488, 124, 132, 131, 124, 119, 1282, 3488, 158, 6280, 1461, 1119, 1110, 1913, 20214, 244, 1186, 8580, 26617, 1303, 1256, 1158, 3453, 2768, 1186, 4083, 1309, 1200, 147, 6687, 4787, 172, 2900, 488, 124, 132, 131, 125, 1188, 2921, 488, 124, 132, 131, 126, 119, 1282, 3488, 158, 6280, 1461, 1119, 1299, 27679, 1317, 10073, 12145, 182, 1266, 10646, 2460, 1461, 196, 1379, 1256, 1561, 3453, 22029, 8418, 3798, 1653, 2875, 488, 124, 132, 131, 126, 119, 1527, 13300, 1188, 1282, 4248, 2857, 11528, 17512, 1252, 4532, 1188, 1158, 15040, 29476, 106, 106, 2524, 2829, 1188, 2875, 488, 124, 132, 132, 123, 119, 1527, 1299, 1125, 3631, 20214, 244, 1186, 26617, 3798, 9997, 1622, 2738, 488, 124, 132, 132, 123, 119, 1527, 1110, 1913, 4452, 1854, 244, 1313, 1282, 5395, 30404, 7572, 119, 2079, 1318, 3620, 1357, 1971, 22733, 3144, 17874, 2290, 1170, 1874, 1125, 488, 10718, 6927, 190, 2585, 1527, 1110, 29756, 1318, 10317, 20410, 1183, 10878, 1125, 5512, 30041, 2251, 1701, 1859, 2682, 1183, 9785, 488, 124, 488, 129, 123, 123, 6805, 1285, 1313, 1170, 4154, 1125, 1282, 12333, 1317, 4839, 1550, 172, 21988, 1187, 244, 1215, 1158, 6545, 10015, 2539, 1550, 2794, 121, 106, 106, 2524, 2875, 488, 124, 132, 132, 124, 1188, 2829, 488, 124, 132, 132, 125, 119, 1282, 3488, 158, 6280, 1461, 1119, 1110, 1913, 20214, 244, 1313, 1170, 1185, 1172, 3849, 11687, 1460, 1188, 8823, 1670, 1125, 1282, 4248, 2857, 1198, 4450, 2752, 1227, 2627, 10366, 106, 106, 1686, 2749, 488, 125, 123, 123, 126, 119, 1527, 1110, 1913, 1125, 3631, 20214, 244, 1313, 1170, 1185, 1172, 3849, 11687, 1460, 1188, 8823, 1670, 1125, 1282, 4248, 2857, 21646, 180, 1252, 27089, 1167, 1125, 1158, 6545, 2714, 1170, 10157, 22270, 1653, 488, 125, 123, 123, 128, 119, 1527, 1299, 15367, 1186, 1306, 5363, 1117, 2585, 1527, 4128, 16273, 1189, 12468, 9556, 2499, 1219, 4286, 1167, 1408, 1125, 488, 124, 121, 125, 123, 123, 20306, 1125, 9371, 5162, 1256, 1158, 4971, 12904, 4042, 1167, 1125, 1113, 5193, 1313, 1170, 3293, 16681, 1141, 1389, 1215, 1189, 1362, 1154, 1912, 121, 106, 106, 1686, 3201, 488, 125, 123, 123, 129, 119, 1527, 1299, 1125, 3631, 20214, 244, 1313, 1158, 3734, 1227, 1185, 1172, 3849, 11687, 1460, 1188, 8823, 1670, 1125, 1282, 4248, 2857, 21646, 180, 1252, 27089, 14011, 2904, 1112, 16939, 11477, 1496, 1440, 1357, 1299, 1594, 4755, 14038, 28409, 10317, 4930, 121, 1768, 1299, 13788, 244, 1188, 10073, 12145, 182, 1170, 488, 124, 127, 2921, 488, 125, 123, 123, 130, 121, 106, 106, 16519, 1125, 2424, 488, 106, 6880, 3569, 158, 6280, 1461, 1119, 1110, 1913, 3902, 6696, 2424, 1170, 488, 124, 127, 2921, 488, 125, 123, 123, 130, 119, 24219, 1675, 1124, 1568, 1188, 1158, 2989, 3202, 1366, 1125, 10073, 12145, 11171, 1548, 488, 125, 125, 2921, 488, 125, 123, 123, 130, 119, 1527, 1110, 1913, 14663, 244, 1313, 1158, 2164, 7416, 1147, 5802, 119, 1167, 15367, 1317, 2515, 1125, 22028, 2620, 1675, 1124, 1568, 1317, 19099, 488, 127, 2585, 1527, 3031, 20304, 1227, 4665, 120, 1342, 1764, 1939, 106, 106, 2606, 488, 125, 132, 2875, 488, 125, 123, 123, 130, 119, 1527, 1299, 24511, 1188, 1158, 4014, 1154, 1415, 1167, 1170, 488, 131, 2578, 488, 125, 123, 123, 130, 119, 1527, 7186, 1415, 1125, 22028, 1214, 1256, 14586, 190, 6021, 1317, 12988, 2585, 1527, 1110, 1913, 4014, 1154, 1292, 3502, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 1200, 11601, 120, 125, 6280, 1461, 1119, 1323, 7649, 13363, 7244, 13475, 106, 3569, 158, 6280, 1461, 1119, 1323, 1173, 1229, 20461, 6684, 13966, 106, 106, 2809, 2139, 13638, 17368, 106, 155, 2529, 4408, 29977, 9478, 2805, 1125, 1282, 3488, 27250, 106, 141, 13974, 17034, 1186, 488, 124, 132, 130, 127, 106, 28437, 1229, 13826, 1317, 10037, 31246, 180, 106, 28437, 1229, 16724, 1511, 1675, 1479, 1456, 1214, 1125, 1282, 3488, 27250, 1125, 1158, 6545, 13281, 18856, 32001, 488, 106, 32000, 20036, 106, 1598, 3569, 158, 6280, 1461, 1119, 6574, 11601, 120, 125, 116, 1239, 1110, 9378, 1149, 8670, 1146, 21429, 3675, 2198, 12917, 119, 1135, 3075, 12917, 1161, 1135, 13638, 17368, 1936, 1161, 1135, 4909, 6716, 27250, 6086, 1156, 1147, 488, 124, 132, 130, 130, 121, 1988, 1239, 1135, 2423, 12917, 1163, 19803, 1135, 2220, 1161, 1135, 25987, 1161, 6280, 1461, 1119, 1131, 4648, 3545, 1135, 18815, 6832, 1147, 488, 124, 132, 127, 127, 3545, 5055, 6832, 21979, 1988, 1463, 1125, 3417, 2116, 1156, 1238, 6942, 488, 124, 127, 119, 488, 125, 123, 123, 130, 1171, 8420, 1226, 1694, 1154, 2871, 106, 106, 24436, 106, 158, 172, 1461, 1119, 1463, 1135, 2423, 1161, 5992, 1492, 7164, 1161, 1110, 1624, 1936, 1161, 2079, 26609, 1675, 1479, 1456, 2662, 27653, 12917, 1302, 11305, 2754, 1147, 1704, 2262, 1161, 12917, 119, 1135, 11910, 12912, 7589, 177, 7827, 1449, 3663, 3259, 4841, 133, 1135, 4148, 1479, 1456, 2662, 27653, 12917, 6574, 14346, 1496, 1135, 9378, 1149, 26928, 1222, 1652, 6574, 29422, 1496, 1135, 4148, 1479, 1456, 2662, 1116, 21088, 12917, 6574, 150, 12287, 1171, 1135, 9378, 1149, 2460, 1461, 1222, 1652, 6574, 11745, 1576, 1988, 1463, 10580, 1161, 4985, 1149, 6520, 1161, 1110, 18102, 25934, 8585, 1132, 1231, 4985, 1149, 3390, 1171, 1789, 16657, 14073, 1449, 4985, 1149, 23058, 119, 1386, 1380, 1273, 5661, 1329, 1110, 14491, 1161, 3251, 121, 106, 106, 4887, 106, 1598, 3569, 158, 6280, 1461, 1119, 8492, 2019, 28335, 9932, 1147, 6942, 488, 124, 132, 130, 132, 2043, 1341, 1463, 18986, 1163, 1110, 7995, 3516, 1183, 10878, 1161, 3569, 4059, 2993, 1220, 1446, 27064, 1124, 1193, 8582, 3545, 1135, 24420, 6805, 6928, 121, 106, 106, 1428, 4151, 488, 124, 132, 131, 123, 119, 1135, 3569, 158, 6280, 1461, 1119, 7645, 1589, 1324, 1135, 4909, 6716, 18819, 3276, 1379, 1163, 7667, 17255, 1119, 17843, 1104, 7634, 1149, 1135, 16326, 1753, 21431, 1163, 7590, 1135, 3569, 3545, 1135, 13784, 1140, 22483, 183, 1221, 2771, 2502, 4151, 488, 125, 119, 488, 124, 132, 131, 124, 119, 1135, 3569, 158, 6280, 1461, 1119, 1463, 15741, 1156, 1163, 1135, 5645, 2177, 27524, 1119, 20461, 1226, 1135, 1940, 1907, 1296, 1151, 1200, 147, 6687, 7752, 6678, 488, 124, 132, 131, 125, 1163, 6942, 488, 124, 132, 131, 126, 119, 1135, 3569, 158, 6280, 1461, 1119, 17032, 1135, 10073, 12145, 182, 1266, 10646, 2460, 1461, 196, 1379, 1226, 2019, 1940, 19894, 2060, 3004, 1203, 121, 1459, 7327, 488, 124, 132, 131, 126, 119, 1341, 5868, 1910, 1147, 27221, 11528, 17512, 1252, 4532, 1147, 15040, 1217, 2036, 106, 106, 6937, 5696, 1163, 7327, 488, 124, 132, 132, 123, 119, 1341, 1463, 15741, 1156, 5376, 2903, 1147, 1135, 5645, 2177, 27524, 6871, 6067, 1147, 8322, 4151, 488, 124, 132, 132, 123, 119, 1341, 1463, 16653, 1427, 1163, 1135, 22349, 24907, 1163, 1110, 3620, 1302, 2098, 5180, 5388, 1296, 10718, 6927, 190, 2468, 1341, 17262, 1110, 2081, 30041, 1128, 1199, 3516, 1183, 10878, 3025, 2071, 3516, 1183, 192, 2267, 488, 124, 119, 129, 123, 123, 4059, 2993, 6963, 1296, 1910, 1161, 1135, 12333, 1147, 6928, 3440, 2589, 16424, 9236, 106, 106, 6937, 7327, 488, 124, 132, 132, 124, 1163, 5696, 488, 124, 132, 132, 125, 119, 1135, 3569, 158, 6280, 1461, 1119, 1463, 15741, 1156, 1147, 1135, 11687, 2323, 1293, 14816, 1147, 2922, 1161, 27221, 3190, 1494, 1753, 1351, 121, 106, 106, 1428, 6324, 488, 125, 123, 123, 126, 119, 1341, 1463, 15741, 1156, 5376, 2903, 1163, 1135, 11687, 2323, 1293, 14816, 1147, 2922, 1161, 27221, 21646, 180, 1252, 27089, 1171, 1135, 6832, 1238, 1198, 4008, 27039, 1459, 488, 125, 123, 123, 128, 119, 1341, 1463, 5253, 1163, 12805, 1477, 2468, 1341, 1684, 2880, 1156, 1110, 2499, 1219, 4286, 8585, 1132, 1231, 1171, 2060, 488, 124, 119, 125, 123, 123, 26462, 1161, 13131, 1226, 6540, 13020, 1171, 2632, 190, 1147, 1135, 20176, 1766, 2988, 27457, 1573, 1589, 20416, 106, 106, 1428, 6678, 488, 125, 123, 123, 129, 119, 1341, 1463, 15741, 1156, 5376, 2903, 1163, 1135, 11687, 2323, 1293, 14816, 6054, 1147, 2922, 1161, 27221, 21646, 180, 1252, 27089, 11903, 1154, 188, 6832, 1496, 5876, 1149, 2019, 2804, 28335, 15741, 3041, 1988, 9553, 1163, 10073, 12145, 182, 1238, 6942, 488, 124, 127, 119, 488, 125, 123, 123, 130, 121, 106, 106, 7397, 1161, 5818, 106, 1598, 3569, 158, 6280, 1461, 1119, 1463, 1125, 3417, 2116, 1156, 1238, 6942, 488, 124, 127, 119, 488, 125, 123, 123, 130, 119, 13073, 1106, 1652, 1156, 1355, 1266, 10646, 21527, 10073, 12145, 11171, 2502, 6942, 488, 125, 125, 119, 488, 125, 123, 123, 130, 119, 1341, 1463, 31145, 1163, 1135, 1147, 5802, 12185, 1130, 1171, 5253, 1163, 1135, 5370, 1161, 22028, 4741, 2031, 4361, 1355, 19099, 488, 127, 21857, 1135, 19744, 1734, 2408, 1939, 106, 106, 3466, 7327, 488, 125, 132, 119, 488, 125, 123, 123, 130, 119, 1341, 1463, 8420, 1226, 1694, 4347, 119, 1171, 1238, 7286, 488, 131, 119, 488, 125, 123, 123, 130, 119, 1341, 25544, 1427, 1446, 22028, 1575, 1226, 14586, 190, 16832, 12988, 2468, 1341, 1463, 1694, 14112, 3078, 106, 106, 26722, 14520, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 3569, 158, 6280, 1461, 1119, 6574, 11601, 120, 125, 116, 1239, 1110, 9378, 1149, 8670, 1146, 21429, 3675, 2198, 12917, 119, 1135, 3075, 12917, 1161, 1135, 13638, 17368, 1936, 1161, 1135, 4909, 6716, 27250, 6086, 1156, 1147, 488, 124, 132, 130, 130, 121, 1988, 1239, 1135, 2423, 12917, 1163, 19803, 1135, 2220, 1161, 1135, 25987, 1161, 6280, 1461, 1119, 1131, 4648, 3545, 1135, 18815, 6832, 1147, 488, 124, 132, 127, 127, 3545, 5055, 6832, 21979, 1988, 1463, 1125, 3417, 2116, 1156, 1238, 6942, 488, 124, 127, 119, 488, 125, 123, 123, 130, 1171, 8420, 1226, 1694, 1154, 2871, 106, 106, 24436, 106, 158, 172, 1461, 1119, 1463, 1135, 2423, 1161, 5992, 1492, 7164, 1161, 1110, 1624, 1936, 1161, 2079, 26609, 1675, 1479, 1456, 2662, 27653, 12917, 1302, 11305, 2754, 1147, 1704, 2262, 1161, 12917, 119, 1135, 11910, 12912, 7589, 177, 7827, 1449, 3663, 3259, 4841, 133, 1135, 4148, 1479, 1456, 2662, 27653, 12917, 6574, 14346, 1496, 1135, 9378, 1149, 26928, 1222, 1652, 6574, 29422, 1496, 1135, 4148, 1479, 1456, 2662, 1116, 21088, 12917, 6574, 150, 12287, 1171, 1135, 9378, 1149, 2460, 1461, 1222, 1652, 6574, 11745, 1576, 1988, 1463, 10580, 1161, 4985, 1149, 6520, 1161, 1110, 18102, 25934, 8585, 1132, 1231, 4985, 1149, 3390, 1171, 1789, 16657, 14073, 1449, 4985, 1149, 23058, 119, 1386, 1380, 1273, 5661, 1329, 1110, 14491, 1161, 3251, 121, 106, 106, 4887, 106, 1598, 3569, 158, 6280, 1461, 1119, 8492, 2019, 28335, 9932, 1147, 6942, 488, 124, 132, 130, 132, 2043, 1341, 1463, 18986, 1163, 1110, 7995, 3516, 1183, 10878, 1161, 3569, 4059, 2993, 1220, 1446, 27064, 1124, 1193, 8582, 3545, 1135, 24420, 6805, 6928, 121, 106, 106, 1428, 4151, 488, 124, 132, 131, 123, 119, 1135, 3569, 158, 6280, 1461, 1119, 7645, 1589, 1324, 1135, 4909, 6716, 18819, 3276, 1379, 1163, 7667, 17255, 1119, 17843, 1104, 7634, 1149, 1135, 16326, 1753, 21431, 1163, 7590, 1135, 3569, 3545, 1135, 13784, 1140, 22483, 183, 1221, 2771, 2502, 4151, 488, 125, 119, 488, 124, 132, 131, 124, 119, 1135, 3569, 158, 6280, 1461, 1119, 1463, 15741, 1156, 1163, 1135, 5645, 2177, 27524, 1119, 20461, 1226, 1135, 1940, 1907, 1296, 1151, 1200, 147, 6687, 7752, 6678, 488, 124, 132, 131, 125, 1163, 6942, 488, 124, 132, 131, 126, 119, 1135, 3569, 158, 6280, 1461, 1119, 17032, 1135, 10073, 12145, 182, 1266, 10646, 2460, 1461, 196, 1379, 1226, 2019, 1940, 19894, 2060, 3004, 1203, 121, 1459, 7327, 488, 124, 132, 131, 126, 119, 1341, 5868, 1910, 1147, 27221, 11528, 17512, 1252, 4532, 1147, 15040, 1217, 2036, 106, 106, 6937, 5696, 1163, 7327, 488, 124, 132, 132, 123, 119, 1341, 1463, 15741, 1156, 5376, 2903, 1147, 1135, 5645, 2177, 27524, 6871, 6067, 1147, 8322, 4151, 488, 124, 132, 132, 123, 119, 1341, 1463, 16653, 1427, 1163, 1135, 22349, 24907, 1163, 1110, 3620, 1302, 2098, 5180, 5388, 1296, 10718, 6927, 190, 2468, 1341, 17262, 1110, 2081, 30041, 1128, 1199, 3516, 1183, 10878, 3025, 2071, 3516, 1183, 192, 2267, 488, 124, 119, 129, 123, 123, 4059, 2993, 6963, 1296, 1910, 1161, 1135, 12333, 1147, 6928, 3440, 2589, 16424, 9236, 106, 106, 6937, 7327, 488, 124, 132, 132, 124, 1163, 5696, 488, 124, 132, 132, 125, 119, 1135, 3569, 158, 6280, 1461, 1119, 1463, 15741, 1156, 1147, 1135, 11687, 2323, 1293, 14816, 1147, 2922, 1161, 27221, 3190, 1494, 1753, 1351, 121, 106, 106, 1428, 6324, 488, 125, 123, 123, 126, 119, 1341, 1463, 15741, 1156, 5376, 2903, 1163, 1135, 11687, 2323, 1293, 14816, 1147, 2922, 1161, 27221, 21646, 180, 1252, 27089, 1171, 1135, 6832, 1238, 1198, 4008, 27039, 1459, 488, 125, 123, 123, 128, 119, 1341, 1463, 5253, 1163, 12805, 1477, 2468, 1341, 1684, 2880, 1156, 1110, 2499, 1219, 4286, 8585, 1132, 1231, 1171, 2060, 488, 124, 119, 125, 123, 123, 26462, 1161, 13131, 1226, 6540, 13020, 1171, 2632, 190, 1147, 1135, 20176, 1766, 2988, 27457, 1573, 1589, 20416, 106, 106, 1428, 6678, 488, 125, 123, 123, 129, 119, 1341, 1463, 15741, 1156, 5376, 2903, 1163, 1135, 11687, 2323, 1293, 14816, 6054, 1147, 2922, 1161, 27221, 21646, 180, 1252, 27089, 11903, 1154, 188, 6832, 1496, 5876, 1149, 2019, 2804, 28335, 15741, 3041, 1988, 9553, 1163, 10073, 12145, 182, 1238, 6942, 488, 124, 127, 119, 488, 125, 123, 123, 130, 121, 106, 106, 7397, 1161, 5818, 106, 1598, 3569, 158, 6280, 1461, 1119, 1463, 1125, 3417, 2116, 1156, 1238, 6942, 488, 124, 127, 119, 488, 125, 123, 123, 130, 119, 13073, 1106, 1652, 1156, 1355, 1266, 10646, 21527, 10073, 12145, 11171, 2502, 6942, 488, 125, 125, 119, 488, 125, 123, 123, 130, 119, 1341, 1463, 31145, 1163, 1135, 1147, 5802, 12185, 1130, 1171, 5253, 1163, 1135, 5370, 1161, 22028, 4741, 2031, 4361, 1355, 19099, 488, 127, 21857, 1135, 19744, 1734, 2408, 1939, 106, 106, 3466, 7327, 488, 125, 132, 119, 488, 125, 123, 123, 130, 119, 1341, 1463, 8420, 1226, 1694, 4347, 119, 1171, 1238, 7286, 488, 131, 119, 488, 125, 123, 123, 130, 119, 1341, 25544, 1427, 1446, 22028, 1575, 1226, 14586, 190, 16832, 12988, 2468, 1341, 1463, 1694, 14112, 3078, 106, 106, 26722, 14520, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 152, 1848, 10273, 12710, 1462, 1299, 1189, 8650, 1721, 1227, 4779, 1125, 31282, 1186, 1645, 14691, 9770, 106, 106, 158, 1123, 10878, 1167, 8139, 106, 106, 2606, 8650, 1281, 5209, 1313, 1170, 12311, 1125, 4151, 177, 1491, 1167, 1299, 9045, 1215, 5999, 1584, 12854, 1257, 2069, 1300, 13296, 24773, 1318, 1300, 5343, 17181, 4279, 10273, 1167, 1318, 1300, 5343, 7543, 4746, 106, 106, 5164, 2368, 27563, 1300, 1318, 6300, 30417, 488, 128, 488, 128, 123, 123, 1127, 125, 1167, 1110, 1158, 1226, 4048, 6590, 1300, 27176, 2254, 25057, 2674, 2094, 3798, 2502, 1251, 5209, 1318, 4256, 8012, 4012, 1199, 1125, 488, 124, 131, 132, 124, 119, 1167, 1318, 12770, 11316, 1125, 27064, 1252, 1176, 28216, 5264, 3799, 12260, 1318, 6425, 1125, 14018, 121, 106, 106, 2606, 1865, 1299, 30960, 180, 1215, 1207, 17087, 1125, 30651, 9615, 7129, 1167, 18378, 1208, 7129, 17574, 1657, 106, 106, 17696, 1314, 1227, 1874, 106, 2606, 8650, 3233, 1594, 1874, 1317, 8918, 17055, 1125, 13296, 24773, 2487, 1170, 1874, 29523, 13296, 10427, 119, 1189, 3601, 2585, 1281, 5428, 2457, 1197, 1226, 15661, 4012, 1199, 1125, 1158, 16880, 12759, 30831, 1175, 124, 129, 127, 125, 120, 124, 129, 128, 124, 1576, 106, 106, 147, 15376, 106, 106, 2606, 8650, 1299, 23906, 18087, 1186, 488, 124, 131, 131, 132, 120, 124, 131, 132, 123, 119, 1300, 20188, 5949, 2134, 7271, 30228, 1125, 1158, 19951, 1206, 1125, 1753, 9605, 1361, 18500, 2559, 17671, 119, 1440, 30228, 4012, 1199, 10028, 1125, 488, 124, 130, 126, 123, 121, 24976, 4092, 1408, 15906, 119, 1186, 488, 124, 131, 131, 129, 119, 1299, 3175, 7847, 1189, 12685, 1357, 1281, 5428, 1370, 1188, 20188, 5949, 1125, 1271, 1551, 2497, 488, 124, 123, 126, 13296, 24773, 1318, 1870, 9728, 119, 9083, 1283, 1141, 1399, 1125, 31467, 1167, 1125, 4685, 1125, 19294, 121, 10984, 1296, 1399, 3618, 1913, 13826, 1186, 488, 124, 130, 125, 126, 120, 124, 130, 125, 128, 1167, 1711, 8539, 180, 1313, 1207, 4092, 488, 124, 130, 131, 123, 121, 1768, 3031, 19126, 1188, 8920, 1186, 8137, 1571, 31467, 1125, 1158, 19951, 5650, 3702, 1158, 10533, 1357, 3031, 3042, 1186, 10065, 121, 106, 106, 3562, 3453, 8791, 1125, 1158, 26807, 30045, 1549, 4834, 10019, 1300, 5343, 17181, 4279, 24773, 1188, 27939, 1362, 1182, 1227, 17431, 2982, 1299, 1601, 1303, 1170, 1939, 106, 106, 2606, 30228, 1299, 30014, 1186, 488, 124, 131, 128, 127, 119, 1189, 14978, 1227, 12229, 1597, 5746, 1199, 1207, 14786, 1255, 1430, 1186, 3837, 1256, 1197, 8852, 5721, 1123, 7324, 1808, 14949, 12520, 12043, 1357, 9442, 1913, 1215, 1158, 3011, 1878, 15898, 2004, 1913, 13390, 21501, 1186, 488, 124, 132, 126, 124, 2391, 1125, 5031, 121, 3559, 17404, 1197, 31069, 13987, 2515, 2457, 1110, 1913, 11858, 1167, 8347, 1303, 1571, 15018, 1125, 5206, 184, 1554, 7526, 106, 106, 18263, 1603, 10194, 1125, 1271, 3593, 24146, 16147, 2236, 2092, 119, 1357, 1281, 5209, 1317, 18762, 1182, 1227, 8650, 1167, 1299, 1408, 17874, 2290, 1170, 1874, 1283, 1603, 10194, 1125, 22482, 24773, 1299, 5946, 4094, 1186, 488, 124, 131, 127, 127, 120, 124, 131, 127, 132, 121, 1643, 16795, 1753, 9605, 20199, 10019, 1317, 488, 125, 128, 5343, 17181, 4279, 24773, 1299, 27537, 1186, 488, 124, 131, 132, 126, 120, 124, 131, 132, 128, 1167, 17545, 21701, 1227, 2076, 16111, 15941, 1300, 5343, 24773, 1186, 488, 124, 131, 132, 130, 120, 124, 131, 132, 131, 121, 1643, 4256, 2100, 1186, 15515, 28238, 6885, 9285, 189, 22559, 9605, 1167, 5922, 2066, 5450, 2086, 1299, 3662, 1303, 1186, 488, 124, 131, 132, 124, 121, 1653, 488, 125, 123, 123, 128, 119, 1816, 4256, 2100, 1299, 11582, 2519, 5159, 2071, 3273, 1303, 4855, 1188, 1318, 23600, 121, 106, 106, 2606, 2102, 1197, 6567, 1201, 1227, 17431, 2982, 2487, 1170, 1441, 15871, 5441, 1382, 20540, 2757, 488, 124, 131, 132, 126, 119, 1238, 5209, 1197, 8079, 1285, 2487, 3040, 2510, 23189, 1170, 1874, 1125, 1964, 6714, 13619, 4701, 1189, 25795, 8403, 7958, 462, 2724, 18642, 13900, 1281, 2668, 2851, 2743, 16293, 184, 2121, 1188, 9579, 4355, 1300, 30045, 1549, 1121, 17671, 1576, 106, 106, 145, 25216, 1167, 2164, 1345, 106, 106, 2606, 1844, 1309, 1170, 8650, 2666, 20669, 244, 1125, 31455, 18979, 14802, 1318, 9083, 1125, 6476, 1395, 1195, 1128, 20468, 1188, 6040, 14360, 10891, 29558, 2502, 1251, 5209, 1197, 14689, 12828, 2028, 1285, 1197, 1561, 28911, 1197, 20504, 1593, 4277, 1197, 6385, 184, 2007, 1197, 3288, 30913, 1197, 1127, 1195, 1180, 1141, 6116, 4484, 1553, 106, 106, 3466, 1915, 2445, 1251, 23393, 3171, 14360, 1283, 7269, 1541, 1257, 1197, 1185, 2486, 1346, 1197, 1947, 1897, 4542, 1197, 1127, 1234, 1475, 1346, 1197, 25584, 4613, 2601, 1346, 1197, 1113, 3939, 1197, 4592, 5899, 1197, 1754, 1157, 1245, 1541, 7041, 1906, 20133, 1197, 1113, 7009, 18468, 106, 106, 28870, 5825, 106, 106, 4455, 4465, 10250, 1535, 1234, 9145, 1508, 1186, 9400, 121, 106, 151, 30532, 9680, 15256, 1185, 24332, 1257, 13296, 10273, 12710, 1462, 1171, 1110, 14410, 11849, 1147, 4151, 177, 1491, 3145, 15317, 130, 128, 25075, 1939, 106, 152, 1848, 10273, 24669, 1297, 119, 1300, 9324, 31051, 20673, 119, 488, 125, 123, 123, 132, 121, 106, 106, 141, 13449, 106, 106, 20634, 1167, 5474, 106, 106, 2951, 174, 1362, 8650, 1721, 1313, 1158, 18714, 1125, 5206, 184, 1554, 1213, 114, 32001, 488, 106, 32000, 20036, 106, 152, 1848, 10273, 12710, 1462, 1239, 1110, 1721, 18960, 1147, 8677, 24349, 12689, 121, 106, 106, 12606, 1171, 10141, 106, 106, 1598, 18960, 1239, 8452, 1147, 1135, 4151, 177, 1491, 10750, 1171, 1526, 1280, 3101, 1156, 2488, 3663, 22105, 2339, 133, 2197, 1238, 13296, 24773, 1704, 1238, 5343, 17181, 4279, 24773, 1171, 1704, 1238, 5343, 7543, 4746, 106, 106, 4515, 20388, 1151, 5457, 1161, 16289, 488, 128, 119, 128, 123, 123, 10804, 2367, 1201, 1171, 1602, 1135, 1492, 19863, 2043, 26724, 1238, 1110, 27176, 1161, 1151, 1147, 1263, 1427, 25057, 121, 1988, 6547, 1110, 1131, 1848, 1262, 24002, 2441, 1163, 488, 124, 131, 132, 124, 1171, 1110, 12770, 11316, 1449, 27064, 1252, 1176, 28216, 5264, 3799, 17823, 1110, 22778, 1361, 3228, 121, 106, 106, 1598, 1865, 1239, 11462, 1449, 1135, 9615, 7129, 1171, 18378, 1208, 7129, 3934, 1977, 2670, 4718, 7051, 1297, 106, 106, 17696, 1109, 1161, 1135, 10386, 106, 1598, 18960, 9075, 2019, 2220, 1446, 2019, 9579, 1406, 1163, 13296, 24773, 1758, 22874, 13296, 10427, 119, 1110, 5589, 2468, 1226, 15661, 24002, 2441, 1163, 1135, 8042, 6938, 17684, 6832, 1175, 124, 129, 127, 125, 120, 124, 129, 128, 124, 116, 2025, 8452, 121, 106, 106, 24436, 106, 106, 1598, 18960, 1463, 11219, 1147, 488, 124, 131, 131, 132, 120, 124, 131, 132, 123, 119, 1238, 1135, 1865, 1161, 1110, 6459, 1116, 1320, 1130, 1884, 1161, 1135, 1215, 1943, 1161, 1753, 9605, 1361, 18500, 2559, 17671, 119, 1758, 1106, 1589, 2441, 1163, 488, 124, 130, 126, 123, 121, 1192, 4013, 3162, 1674, 4834, 1147, 488, 124, 131, 131, 129, 119, 1110, 6540, 8452, 1355, 1135, 1865, 1161, 1135, 3224, 488, 124, 123, 126, 13296, 24773, 1110, 1870, 9728, 119, 1463, 4472, 1172, 3522, 121, 1410, 1870, 9728, 11462, 1296, 1110, 12529, 9728, 1171, 5360, 1161, 19294, 119, 7406, 1147, 488, 124, 130, 125, 126, 120, 124, 130, 125, 128, 1171, 24967, 1147, 1135, 488, 124, 130, 131, 123, 190, 1163, 11525, 1135, 12529, 1161, 1135, 1215, 1943, 121, 106, 106, 1598, 1940, 17172, 1161, 1135, 30045, 1549, 1121, 14671, 3561, 8452, 1238, 5343, 17181, 4279, 10273, 1355, 1135, 12961, 26182, 1161, 1135, 6294, 2765, 1463, 24748, 1238, 1939, 106, 106, 1598, 1116, 1320, 1130, 1884, 1463, 12941, 1147, 488, 124, 131, 128, 127, 119, 1296, 1151, 8298, 1161, 19289, 20661, 2580, 9531, 1474, 190, 1147, 1135, 5100, 1226, 5721, 20838, 5692, 1297, 1410, 12520, 22397, 1346, 1758, 2055, 2023, 13979, 1171, 6470, 30505, 3545, 4971, 1870, 1147, 488, 124, 132, 126, 124, 119, 2025, 5235, 2295, 1171, 1789, 31069, 1125, 1482, 2580, 1147, 1135, 5206, 184, 1554, 1213, 6653, 1289, 1457, 106, 106, 1598, 11849, 1161, 1135, 12394, 1183, 13355, 2236, 2092, 119, 5388, 1296, 22482, 10273, 10277, 119, 8452, 7080, 22629, 1161, 1135, 6294, 2765, 1463, 7406, 1147, 488, 124, 131, 127, 127, 120, 124, 131, 127, 132, 121, 1410, 1753, 9605, 1361, 14650, 119, 2668, 1589, 1355, 488, 125, 128, 5343, 17181, 4279, 24773, 1463, 25162, 1147, 488, 124, 131, 132, 126, 120, 124, 131, 132, 128, 119, 1171, 1135, 9832, 3875, 1161, 1135, 2994, 11017, 19521, 5343, 24773, 1147, 488, 124, 131, 132, 130, 120, 124, 131, 132, 131, 121, 1410, 21683, 1131, 1848, 5485, 5772, 1449, 8471, 22559, 9605, 1171, 5922, 2066, 13272, 2086, 1463, 14324, 1147, 488, 124, 131, 132, 124, 121, 1459, 488, 125, 123, 123, 128, 119, 1135, 1131, 1848, 1262, 2670, 194, 1129, 2377, 1121, 2071, 5091, 1156, 2488, 6714, 7168, 106, 106, 3681, 1510, 1135, 18960, 3585, 1285, 1189, 28860, 3976, 488, 124, 131, 132, 126, 119, 1970, 1393, 30648, 1346, 2717, 1161, 1758, 19803, 1135, 2220, 1161, 1789, 6714, 4834, 5298, 1151, 4950, 24942, 18864, 1135, 4950, 4468, 1322, 196, 1463, 8452, 23751, 1238, 30045, 1549, 1121, 17671, 1576, 106, 106, 145, 172, 14570, 1171, 7529, 172, 106, 106, 1598, 18960, 1361, 19071, 2533, 26480, 3630, 1110, 6476, 1395, 1195, 1230, 5831, 11076, 1163, 6750, 8082, 2373, 6099, 16802, 2678, 1346, 1583, 1246, 1285, 1281, 3844, 4277, 3288, 1626, 9641, 6385, 184, 1285, 16522, 1127, 1195, 1180, 1141, 1526, 1280, 3218, 121, 106, 106, 158, 3178, 1132, 16339, 13594, 1526, 1959, 1280, 16591, 133, 14445, 2955, 1346, 13843, 1285, 2352, 1285, 6918, 6796, 3791, 2990, 1346, 5861, 29868, 1285, 4300, 5006, 1285, 1171, 1161, 10513, 1113, 7009, 18468, 106, 106, 26722, 9354, 190, 106, 106, 1598, 3602, 14347, 4465, 1393, 1147, 6938, 121, 106, 151, 30532, 9680, 15256, 30261, 3009, 13296, 10273, 12710, 1462, 1171, 1110, 14410, 11849, 1147, 4151, 177, 1491, 3145, 15317, 130, 128, 25075, 1939, 106, 152, 1848, 10273, 24669, 1297, 119, 1238, 9324, 31051, 20673, 119, 488, 125, 123, 123, 132, 121, 106, 106, 1891, 9520, 106, 106, 22081, 8115, 1329, 18960, 1147, 1135, 5407, 1161, 5206, 184, 1554, 7526, 4297, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 152, 1848, 10273, 12710, 1462, 1239, 1110, 1721, 18960, 1147, 8677, 24349, 12689, 121, 106, 106, 12606, 1171, 10141, 106, 106, 1598, 18960, 1239, 8452, 1147, 1135, 4151, 177, 1491, 10750, 1171, 1526, 1280, 3101, 1156, 2488, 3663, 22105, 2339, 133, 2197, 1238, 13296, 24773, 1704, 1238, 5343, 17181, 4279, 24773, 1171, 1704, 1238, 5343, 7543, 4746, 106, 106, 4515, 20388, 1151, 5457, 1161, 16289, 488, 128, 119, 128, 123, 123, 10804, 2367, 1201, 1171, 1602, 1135, 1492, 19863, 2043, 26724, 1238, 1110, 27176, 1161, 1151, 1147, 1263, 1427, 25057, 121, 1988, 6547, 1110, 1131, 1848, 1262, 24002, 2441, 1163, 488, 124, 131, 132, 124, 1171, 1110, 12770, 11316, 1449, 27064, 1252, 1176, 28216, 5264, 3799, 17823, 1110, 22778, 1361, 3228, 121, 106, 106, 1598, 1865, 1239, 11462, 1449, 1135, 9615, 7129, 1171, 18378, 1208, 7129, 3934, 1977, 2670, 4718, 7051, 1297, 106, 106, 17696, 1109, 1161, 1135, 10386, 106, 1598, 18960, 9075, 2019, 2220, 1446, 2019, 9579, 1406, 1163, 13296, 24773, 1758, 22874, 13296, 10427, 119, 1110, 5589, 2468, 1226, 15661, 24002, 2441, 1163, 1135, 8042, 6938, 17684, 6832, 1175, 124, 129, 127, 125, 120, 124, 129, 128, 124, 116, 2025, 8452, 121, 106, 106, 24436, 106, 106, 1598, 18960, 1463, 11219, 1147, 488, 124, 131, 131, 132, 120, 124, 131, 132, 123, 119, 1238, 1135, 1865, 1161, 1110, 6459, 1116, 1320, 1130, 1884, 1161, 1135, 1215, 1943, 1161, 1753, 9605, 1361, 18500, 2559, 17671, 119, 1758, 1106, 1589, 2441, 1163, 488, 124, 130, 126, 123, 121, 1192, 4013, 3162, 1674, 4834, 1147, 488, 124, 131, 131, 129, 119, 1110, 6540, 8452, 1355, 1135, 1865, 1161, 1135, 3224, 488, 124, 123, 126, 13296, 24773, 1110, 1870, 9728, 119, 1463, 4472, 1172, 3522, 121, 1410, 1870, 9728, 11462, 1296, 1110, 12529, 9728, 1171, 5360, 1161, 19294, 119, 7406, 1147, 488, 124, 130, 125, 126, 120, 124, 130, 125, 128, 1171, 24967, 1147, 1135, 488, 124, 130, 131, 123, 190, 1163, 11525, 1135, 12529, 1161, 1135, 1215, 1943, 121, 106, 106, 1598, 1940, 17172, 1161, 1135, 30045, 1549, 1121, 14671, 3561, 8452, 1238, 5343, 17181, 4279, 10273, 1355, 1135, 12961, 26182, 1161, 1135, 6294, 2765, 1463, 24748, 1238, 1939, 106, 106, 1598, 1116, 1320, 1130, 1884, 1463, 12941, 1147, 488, 124, 131, 128, 127, 119, 1296, 1151, 8298, 1161, 19289, 20661, 2580, 9531, 1474, 190, 1147, 1135, 5100, 1226, 5721, 20838, 5692, 1297, 1410, 12520, 22397, 1346, 1758, 2055, 2023, 13979, 1171, 6470, 30505, 3545, 4971, 1870, 1147, 488, 124, 132, 126, 124, 119, 2025, 5235, 2295, 1171, 1789, 31069, 1125, 1482, 2580, 1147, 1135, 5206, 184, 1554, 1213, 6653, 1289, 1457, 106, 106, 1598, 11849, 1161, 1135, 12394, 1183, 13355, 2236, 2092, 119, 5388, 1296, 22482, 10273, 10277, 119, 8452, 7080, 22629, 1161, 1135, 6294, 2765, 1463, 7406, 1147, 488, 124, 131, 127, 127, 120, 124, 131, 127, 132, 121, 1410, 1753, 9605, 1361, 14650, 119, 2668, 1589, 1355, 488, 125, 128, 5343, 17181, 4279, 24773, 1463, 25162, 1147, 488, 124, 131, 132, 126, 120, 124, 131, 132, 128, 119, 1171, 1135, 9832, 3875, 1161, 1135, 2994, 11017, 19521, 5343, 24773, 1147, 488, 124, 131, 132, 130, 120, 124, 131, 132, 131, 121, 1410, 21683, 1131, 1848, 5485, 5772, 1449, 8471, 22559, 9605, 1171, 5922, 2066, 13272, 2086, 1463, 14324, 1147, 488, 124, 131, 132, 124, 121, 1459, 488, 125, 123, 123, 128, 119, 1135, 1131, 1848, 1262, 2670, 194, 1129, 2377, 1121, 2071, 5091, 1156, 2488, 6714, 7168, 106, 106, 3681, 1510, 1135, 18960, 3585, 1285, 1189, 28860, 3976, 488, 124, 131, 132, 126, 119, 1970, 1393, 30648, 1346, 2717, 1161, 1758, 19803, 1135, 2220, 1161, 1789, 6714, 4834, 5298, 1151, 4950, 24942, 18864, 1135, 4950, 4468, 1322, 196, 1463, 8452, 23751, 1238, 30045, 1549, 1121, 17671, 1576, 106, 106, 145, 172, 14570, 1171, 7529, 172, 106, 106, 1598, 18960, 1361, 19071, 2533, 26480, 3630, 1110, 6476, 1395, 1195, 1230, 5831, 11076, 1163, 6750, 8082, 2373, 6099, 16802, 2678, 1346, 1583, 1246, 1285, 1281, 3844, 4277, 3288, 1626, 9641, 6385, 184, 1285, 16522, 1127, 1195, 1180, 1141, 1526, 1280, 3218, 121, 106, 106, 158, 3178, 1132, 16339, 13594, 1526, 1959, 1280, 16591, 133, 14445, 2955, 1346, 13843, 1285, 2352, 1285, 6918, 6796, 3791, 2990, 1346, 5861, 29868, 1285, 4300, 5006, 1285, 1171, 1161, 10513, 1113, 7009, 18468, 106, 106, 26722, 9354, 190, 106, 106, 1598, 3602, 14347, 4465, 1393, 1147, 6938, 121, 106, 151, 30532, 9680, 15256, 30261, 3009, 13296, 10273, 12710, 1462, 1171, 1110, 14410, 11849, 1147, 4151, 177, 1491, 3145, 15317, 130, 128, 25075, 1939, 106, 152, 1848, 10273, 24669, 1297, 119, 1238, 9324, 31051, 20673, 119, 488, 125, 123, 123, 132, 121, 106, 106, 1891, 9520, 106, 106, 22081, 8115, 1329, 18960, 1147, 1135, 5407, 1161, 5206, 184, 1554, 7526, 4297, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 143, 7775, 1460, 29658, 9204, 1238, 6942, 488, 125, 129, 119, 488, 124, 132, 128, 127, 1147, 6721, 1239, 1110, 9197, 11941, 121, 106, 106, 141, 180, 11114, 106, 106, 6937, 488, 124, 132, 131, 131, 1163, 488, 125, 123, 124, 128, 119, 20682, 11276, 8627, 1296, 1151, 11941, 1324, 6780, 1227, 1233, 1224, 1130, 1355, 1135, 1222, 15118, 1711, 22469, 14320, 31696, 1870, 1239, 5080, 2928, 1449, 2763, 19056, 3580, 1285, 2536, 1296, 1135, 13782, 2674, 21711, 1161, 1135, 1352, 2538, 1148, 5360, 1175, 124, 132, 131, 130, 116, 1329, 1135, 2674, 21904, 3228, 27328, 1201, 1161, 1135, 29335, 1548, 13435, 1147, 2801, 1175, 124, 132, 132, 123, 1576, 3842, 7905, 5388, 19847, 1226, 1110, 6446, 1161, 6208, 30920, 1147, 3225, 1126, 1220, 1175, 124, 132, 132, 127, 1496, 14787, 2636, 1175, 125, 123, 123, 124, 1496, 1171, 1198, 4954, 1104, 1175, 125, 123, 123, 125, 1496, 1324, 1135, 21265, 1184, 6368, 2182, 1135, 23043, 1198, 3441, 6551, 10812, 119, 21302, 1894, 4660, 1449, 1135, 1548, 3335, 7213, 5338, 2957, 1163, 1110, 9197, 27856, 1410, 16822, 1361, 1870, 1463, 12031, 1147, 488, 125, 123, 124, 123, 1355, 1135, 18246, 1186, 1248, 245, 1196, 30554, 7978, 1147, 13033, 9484, 1459, 488, 125, 123, 124, 129, 119, 1386, 11219, 1135, 20682, 11276, 29232, 20924, 1711, 22469, 106, 106, 140, 5381, 106, 145, 7261, 1267, 1226, 1135, 7127, 8006, 30558, 1226, 2236, 7199, 1626, 30554, 1204, 1429, 7445, 4140, 11814, 1122, 1147, 488, 125, 123, 123, 126, 106, 158, 1142, 1263, 1198, 3441, 6551, 10812, 1147, 488, 125, 123, 123, 125, 119, 1548, 3335, 7213, 30558, 106, 152, 7314, 1355, 1135, 8042, 7010, 16908, 1147, 488, 124, 132, 131, 130, 119, 3335, 7213, 6506, 106, 106, 19698, 9723, 1525, 106, 106, 142, 14803, 20646, 106, 125, 123, 124, 124, 10239, 14650, 1323, 14650, 1323, 1165, 1314, 8381, 1147, 1200, 1376, 6122, 3441, 172, 1145, 1374, 106, 125, 123, 124, 123, 2324, 21528, 4338, 4166, 1265, 14650, 106, 125, 123, 123, 128, 4017, 14650, 1161, 7432, 4101, 1706, 1201, 1161, 27443, 106, 125, 123, 123, 125, 10239, 14650, 1161, 1198, 4954, 1104, 4115, 19094, 1107, 1162, 1323, 23043, 1198, 3441, 6551, 10812, 488, 125, 123, 123, 125, 106, 125, 123, 123, 124, 15558, 4732, 1154, 1250, 10239, 14650, 1147, 14787, 2636, 106, 124, 132, 132, 132, 1248, 3513, 1120, 28203, 1132, 14650, 106, 124, 132, 132, 127, 3225, 5012, 1220, 10239, 14650, 106, 124, 132, 131, 130, 1352, 2538, 1148, 6842, 1147, 2801, 1323, 1204, 7314, 1355, 1135, 8042, 7010, 16908, 106, 106, 23179, 1117, 1626, 20646, 106, 124, 132, 132, 123, 13438, 27328, 1201, 1161, 1548, 13435, 29335, 4419, 1246, 1161, 1209, 4958, 1209, 23083, 116, 1147, 2801, 106, 124, 132, 131, 131, 7162, 21711, 1161, 2576, 14908, 13235, 3228, 27328, 1201, 1147, 2801, 106, 106, 144, 1619, 1967, 6540, 106, 125, 123, 124, 132, 488, 4017, 6540, 1147, 3225, 190, 1242, 1238, 1135, 4017, 2801, 3441, 1183, 10611, 19127, 106, 125, 123, 124, 128, 6102, 1107, 18543, 1157, 1109, 8923, 2059, 1119, 2111, 3282, 1147, 2324, 21528, 4338, 4166, 8255, 2692, 1254, 10070, 20177, 11971, 9333, 1304, 15779, 11771, 1125, 2324, 21528, 4338, 4166, 1265, 106, 125, 123, 123, 129, 4017, 15851, 6540, 1147, 3281, 4853, 21010, 106, 106, 147, 1212, 1149, 106, 125, 123, 123, 131, 488, 126, 3172, 21642, 1147, 4024, 197, 1273, 13651, 10516, 8188, 1575, 106, 125, 123, 123, 129, 9048, 1132, 18009, 109, 488, 130, 124, 19073, 13880, 1147, 24746, 106, 125, 123, 123, 125, 488, 127, 8768, 140, 19073, 13880, 1147, 11539, 3809, 1242, 8291, 14873, 106, 124, 132, 132, 131, 1235, 4455, 1198, 1415, 7153, 109, 488, 128, 128, 8768, 140, 19073, 13880, 1147, 1293, 2288, 196, 106, 106, 6198, 3553, 3195, 106, 125, 123, 123, 124, 12674, 1125, 8085, 187, 3420, 8080, 25219, 1147, 2801, 106, 106, 12268, 4734, 1132, 6540, 106, 125, 123, 123, 125, 5623, 12116, 1108, 1173, 1822, 1272, 24337, 1160, 25651, 1147, 3335, 5261, 1415, 106, 106, 19346, 8982, 11569, 106, 124, 132, 132, 130, 7307, 1836, 2397, 2450, 1147, 11539, 3809, 1242, 8291, 14873, 106, 106, 4968, 1108, 11114, 106, 125, 123, 123, 124, 1235, 15440, 1202, 1486, 10248, 1147, 2801, 109, 1355, 1135, 27157, 9556, 1125, 26012, 15406, 1132, 1147, 2801, 106, 106, 26722, 14520, 106, 143, 7775, 1460, 11276, 29232, 20924, 16822, 4877, 106, 106, 141, 4807, 11114, 106, 7135, 1125, 5588, 1167, 9631, 1227, 12630, 6721, 1209, 4657, 1171, 1254, 2527, 28028, 2499, 18716, 3212, 488, 124, 132, 132, 127, 106, 8321, 1610, 10960, 15982, 1207, 11897, 155, 5128, 6721, 1254, 2527, 1227, 27157, 19115, 1125, 26012, 15406, 2726, 488, 124, 132, 132, 129, 1808, 1305, 1128, 2289, 1125, 1271, 17792, 7151, 3693, 6721, 1254, 2527, 1173, 1462, 1673, 25359, 30895, 488, 124, 132, 132, 130, 106, 2606, 3934, 16430, 1374, 7184, 2851, 6721, 1254, 2527, 1198, 1488, 1550, 119, 488, 124, 132, 132, 132, 121, 1235, 6937, 1135, 25516, 1161, 4611, 1163, 1135, 1501, 1315, 1161, 7693, 7919, 1202, 12167, 11731, 116, 1523, 1808, 8637, 13173, 1125, 1539, 4586, 7658, 7286, 488, 125, 124, 119, 488, 125, 123, 123, 128, 121, 106, 8925, 3467, 119, 6721, 18378, 4951, 488, 125, 123, 124, 123, 106, 106, 1891, 9520, 106, 145, 30206, 11941, 1161, 1135, 488, 125, 123, 1276, 14851, 106, 145, 30206, 11941, 1161, 1135, 488, 125, 124, 1243, 14851, 106, 2272, 7199, 1626, 11941, 106, 162, 8614, 1161, 1135, 23043, 1198, 3441, 6551, 10812, 106, 141, 2589, 1147, 6942, 488, 124, 132, 128, 127, 32001, 488, 106, 32000, 20036, 106, 114, 143, 7775, 1460, 29658, 5252, 1170, 488, 125, 129, 2921, 488, 124, 132, 128, 127, 1188, 6721, 1299, 1189, 7813, 15357, 24610, 106, 106, 141, 11741, 106, 106, 2524, 488, 124, 132, 131, 131, 1188, 488, 125, 123, 124, 128, 119, 20682, 11276, 1110, 29756, 1318, 8263, 1283, 23821, 15357, 1469, 6780, 1227, 1233, 1224, 3174, 1317, 5545, 1125, 29403, 1222, 15118, 121, 19571, 4052, 22007, 1281, 20675, 1439, 1215, 1197, 6943, 2205, 5542, 1207, 7900, 1197, 16085, 1856, 10181, 9495, 13970, 1125, 1158, 4685, 1125, 1158, 1352, 2538, 1148, 1175, 124, 132, 131, 130, 116, 1362, 1170, 27333, 9209, 1227, 6601, 1548, 13435, 1188, 2801, 1175, 124, 132, 132, 123, 1576, 3855, 5350, 1317, 4759, 2519, 4726, 1125, 5373, 1495, 27019, 6041, 1281, 1508, 1844, 9156, 1188, 3225, 5012, 1220, 1175, 124, 132, 132, 127, 1496, 1188, 14787, 2636, 1175, 125, 123, 123, 124, 1496, 1362, 1188, 1198, 4954, 1104, 1175, 125, 123, 123, 125, 1496, 1816, 6128, 1964, 4716, 12608, 1170, 8276, 1125, 12547, 3393, 1112, 1304, 1700, 3310, 1805, 1608, 244, 3219, 5910, 1215, 1170, 3274, 1125, 8146, 1548, 3335, 7213, 1188, 1318, 9752, 25572, 1808, 5031, 1125, 13041, 1419, 2004, 1913, 23270, 1186, 488, 125, 123, 124, 123, 1317, 6508, 1304, 17792, 18246, 1186, 1248, 245, 1196, 1125, 13033, 9484, 1653, 488, 125, 123, 124, 129, 119, 1768, 1110, 9601, 13041, 1419, 20682, 11276, 29232, 1363, 1457, 106, 106, 155, 3303, 106, 16519, 8765, 1317, 8276, 1125, 14141, 6923, 1256, 1282, 17792, 31310, 1204, 1429, 7445, 4140, 11814, 1122, 1186, 488, 125, 123, 123, 126, 106, 155, 3303, 1125, 12547, 3393, 1112, 24019, 1186, 488, 125, 123, 123, 125, 119, 8276, 1227, 3335, 7213, 106, 152, 7314, 1571, 3248, 1125, 1158, 3453, 6885, 1186, 488, 124, 132, 131, 130, 119, 9650, 3335, 7213, 106, 106, 4929, 3006, 2137, 3014, 1430, 106, 106, 141, 237, 1117, 1525, 3908, 4294, 106, 125, 123, 124, 124, 19278, 1495, 12990, 1323, 25161, 1323, 1165, 1109, 2035, 1141, 1188, 1200, 1376, 6122, 3441, 172, 1145, 1374, 106, 125, 123, 124, 123, 25161, 1125, 2324, 21528, 4338, 4166, 1265, 106, 125, 123, 123, 128, 25161, 24119, 3090, 120, 2178, 2931, 1125, 27443, 106, 125, 123, 123, 125, 19278, 1495, 12990, 7482, 178, 24265, 1125, 1198, 4954, 1104, 1323, 8276, 1125, 12547, 3393, 1112, 24019, 488, 125, 123, 123, 125, 106, 125, 123, 123, 124, 19278, 1495, 12990, 15558, 3046, 1132, 1154, 1250, 1125, 14787, 2636, 106, 124, 132, 132, 132, 25161, 7389, 1366, 1125, 1248, 3513, 1120, 106, 124, 132, 132, 127, 19278, 1495, 12990, 31313, 5012, 1220, 106, 124, 132, 131, 130, 11495, 1125, 1158, 1352, 2538, 1148, 1188, 2801, 1323, 1204, 7314, 1317, 3248, 1125, 1158, 3453, 6885, 106, 106, 141, 237, 1117, 1525, 1794, 1117, 1690, 106, 124, 132, 132, 123, 1173, 16318, 1227, 6601, 1548, 13435, 22282, 17277, 1125, 23712, 4958, 488, 11363, 18061, 116, 1188, 2801, 106, 124, 132, 131, 131, 4148, 9495, 1227, 9209, 1125, 2576, 14908, 13235, 1188, 2801, 106, 106, 141, 237, 19558, 1283, 9570, 106, 125, 123, 124, 132, 21935, 19558, 24119, 488, 1188, 3225, 190, 1242, 1300, 1170, 19127, 1125, 21455, 2801, 3441, 1183, 10611, 106, 125, 123, 124, 128, 1645, 17742, 1166, 14249, 2059, 1119, 2111, 3282, 18543, 1157, 1109, 1188, 2324, 21528, 4338, 4166, 8255, 12749, 2605, 10070, 5277, 13052, 1304, 17792, 1125, 2324, 21528, 4338, 4166, 1265, 106, 125, 123, 123, 129, 21935, 19558, 24119, 1283, 9570, 1188, 3281, 4853, 21010, 106, 106, 4863, 12773, 106, 125, 123, 123, 131, 488, 126, 14855, 23544, 1188, 4024, 197, 24828, 1186, 10516, 8188, 1214, 106, 125, 123, 123, 129, 1606, 7494, 18009, 1524, 488, 130, 124, 18606, 1188, 24746, 106, 125, 123, 123, 125, 488, 127, 18606, 8768, 140, 1188, 11539, 3809, 1242, 8291, 14873, 106, 124, 132, 132, 131, 1606, 1808, 1198, 1415, 7153, 1524, 488, 128, 128, 18606, 8768, 140, 1188, 1293, 2288, 196, 106, 106, 13772, 9495, 11866, 106, 125, 123, 123, 124, 7494, 4054, 26084, 12674, 1125, 8085, 187, 3420, 1188, 2801, 106, 106, 141, 237, 19558, 20581, 106, 125, 123, 123, 125, 21527, 24968, 3607, 1227, 5623, 12116, 1108, 1188, 3335, 5261, 1415, 106, 106, 15784, 4119, 7697, 2915, 106, 124, 132, 132, 130, 2397, 2450, 7307, 1836, 1188, 11539, 3809, 1242, 8291, 14873, 106, 106, 4968, 1538, 4134, 106, 125, 123, 123, 124, 1606, 3699, 1202, 1486, 10248, 1188, 2801, 1524, 1317, 27157, 9556, 1125, 26012, 15406, 1132, 1125, 2801, 106, 106, 28870, 5825, 106, 27566, 1125, 13041, 1419, 20682, 11276, 29232, 22549, 106, 106, 141, 13449, 106, 7135, 1125, 5588, 1167, 9631, 1227, 12630, 6721, 1209, 4657, 1167, 21993, 28028, 2499, 18716, 3212, 488, 124, 132, 132, 127, 106, 8321, 1610, 10960, 15982, 1207, 11897, 8606, 1859, 6721, 21993, 1227, 27157, 19115, 1125, 31773, 15406, 2726, 488, 124, 132, 132, 129, 1808, 1305, 1128, 2289, 1125, 1271, 17792, 7151, 3693, 6721, 21993, 1173, 1462, 1673, 25359, 30895, 488, 124, 132, 132, 130, 106, 2606, 3934, 16430, 1374, 7184, 2851, 6721, 21993, 1198, 1488, 1550, 119, 488, 124, 132, 132, 132, 121, 1606, 6604, 1921, 4766, 1197, 7298, 1188, 1158, 1501, 1315, 1125, 3871, 3156, 13037, 5044, 1125, 1202, 12167, 116, 3133, 1808, 8637, 13173, 1125, 1539, 4586, 7658, 488, 125, 124, 2578, 488, 125, 123, 123, 128, 121, 106, 8925, 3467, 119, 6721, 18378, 4951, 488, 125, 123, 124, 123, 106, 106, 10853, 106, 106, 15779, 1123, 15357, 2720, 1227, 23841, 6298, 106, 15779, 1123, 15357, 2720, 1227, 12136, 25525, 6298, 106, 15779, 1123, 15357, 25569, 106, 151, 24666, 1128, 1227, 3248, 1125, 12547, 3393, 1112, 24019, 106, 153, 3400, 1186, 2921, 488, 124, 132, 128, 127, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 143, 7775, 1460, 29658, 5252, 1170, 488, 125, 129, 2921, 488, 124, 132, 128, 127, 1188, 6721, 1299, 1189, 7813, 15357, 24610, 106, 106, 141, 11741, 106, 106, 2524, 488, 124, 132, 131, 131, 1188, 488, 125, 123, 124, 128, 119, 20682, 11276, 1110, 29756, 1318, 8263, 1283, 23821, 15357, 1469, 6780, 1227, 1233, 1224, 3174, 1317, 5545, 1125, 29403, 1222, 15118, 121, 19571, 4052, 22007, 1281, 20675, 1439, 1215, 1197, 6943, 2205, 5542, 1207, 7900, 1197, 16085, 1856, 10181, 9495, 13970, 1125, 1158, 4685, 1125, 1158, 1352, 2538, 1148, 1175, 124, 132, 131, 130, 116, 1362, 1170, 27333, 9209, 1227, 6601, 1548, 13435, 1188, 2801, 1175, 124, 132, 132, 123, 1576, 3855, 5350, 1317, 4759, 2519, 4726, 1125, 5373, 1495, 27019, 6041, 1281, 1508, 1844, 9156, 1188, 3225, 5012, 1220, 1175, 124, 132, 132, 127, 1496, 1188, 14787, 2636, 1175, 125, 123, 123, 124, 1496, 1362, 1188, 1198, 4954, 1104, 1175, 125, 123, 123, 125, 1496, 1816, 6128, 1964, 4716, 12608, 1170, 8276, 1125, 12547, 3393, 1112, 1304, 1700, 3310, 1805, 1608, 244, 3219, 5910, 1215, 1170, 3274, 1125, 8146, 1548, 3335, 7213, 1188, 1318, 9752, 25572, 1808, 5031, 1125, 13041, 1419, 2004, 1913, 23270, 1186, 488, 125, 123, 124, 123, 1317, 6508, 1304, 17792, 18246, 1186, 1248, 245, 1196, 1125, 13033, 9484, 1653, 488, 125, 123, 124, 129, 119, 1768, 1110, 9601, 13041, 1419, 20682, 11276, 29232, 1363, 1457, 106, 106, 155, 3303, 106, 16519, 8765, 1317, 8276, 1125, 14141, 6923, 1256, 1282, 17792, 31310, 1204, 1429, 7445, 4140, 11814, 1122, 1186, 488, 125, 123, 123, 126, 106, 155, 3303, 1125, 12547, 3393, 1112, 24019, 1186, 488, 125, 123, 123, 125, 119, 8276, 1227, 3335, 7213, 106, 152, 7314, 1571, 3248, 1125, 1158, 3453, 6885, 1186, 488, 124, 132, 131, 130, 119, 9650, 3335, 7213, 106, 106, 4929, 3006, 2137, 3014, 1430, 106, 106, 141, 237, 1117, 1525, 3908, 4294, 106, 125, 123, 124, 124, 19278, 1495, 12990, 1323, 25161, 1323, 1165, 1109, 2035, 1141, 1188, 1200, 1376, 6122, 3441, 172, 1145, 1374, 106, 125, 123, 124, 123, 25161, 1125, 2324, 21528, 4338, 4166, 1265, 106, 125, 123, 123, 128, 25161, 24119, 3090, 120, 2178, 2931, 1125, 27443, 106, 125, 123, 123, 125, 19278, 1495, 12990, 7482, 178, 24265, 1125, 1198, 4954, 1104, 1323, 8276, 1125, 12547, 3393, 1112, 24019, 488, 125, 123, 123, 125, 106, 125, 123, 123, 124, 19278, 1495, 12990, 15558, 3046, 1132, 1154, 1250, 1125, 14787, 2636, 106, 124, 132, 132, 132, 25161, 7389, 1366, 1125, 1248, 3513, 1120, 106, 124, 132, 132, 127, 19278, 1495, 12990, 31313, 5012, 1220, 106, 124, 132, 131, 130, 11495, 1125, 1158, 1352, 2538, 1148, 1188, 2801, 1323, 1204, 7314, 1317, 3248, 1125, 1158, 3453, 6885, 106, 106, 141, 237, 1117, 1525, 1794, 1117, 1690, 106, 124, 132, 132, 123, 1173, 16318, 1227, 6601, 1548, 13435, 22282, 17277, 1125, 23712, 4958, 488, 11363, 18061, 116, 1188, 2801, 106, 124, 132, 131, 131, 4148, 9495, 1227, 9209, 1125, 2576, 14908, 13235, 1188, 2801, 106, 106, 141, 237, 19558, 1283, 9570, 106, 125, 123, 124, 132, 21935, 19558, 24119, 488, 1188, 3225, 190, 1242, 1300, 1170, 19127, 1125, 21455, 2801, 3441, 1183, 10611, 106, 125, 123, 124, 128, 1645, 17742, 1166, 14249, 2059, 1119, 2111, 3282, 18543, 1157, 1109, 1188, 2324, 21528, 4338, 4166, 8255, 12749, 2605, 10070, 5277, 13052, 1304, 17792, 1125, 2324, 21528, 4338, 4166, 1265, 106, 125, 123, 123, 129, 21935, 19558, 24119, 1283, 9570, 1188, 3281, 4853, 21010, 106, 106, 4863, 12773, 106, 125, 123, 123, 131, 488, 126, 14855, 23544, 1188, 4024, 197, 24828, 1186, 10516, 8188, 1214, 106, 125, 123, 123, 129, 1606, 7494, 18009, 1524, 488, 130, 124, 18606, 1188, 24746, 106, 125, 123, 123, 125, 488, 127, 18606, 8768, 140, 1188, 11539, 3809, 1242, 8291, 14873, 106, 124, 132, 132, 131, 1606, 1808, 1198, 1415, 7153, 1524, 488, 128, 128, 18606, 8768, 140, 1188, 1293, 2288, 196, 106, 106, 13772, 9495, 11866, 106, 125, 123, 123, 124, 7494, 4054, 26084, 12674, 1125, 8085, 187, 3420, 1188, 2801, 106, 106, 141, 237, 19558, 20581, 106, 125, 123, 123, 125, 21527, 24968, 3607, 1227, 5623, 12116, 1108, 1188, 3335, 5261, 1415, 106, 106, 15784, 4119, 7697, 2915, 106, 124, 132, 132, 130, 2397, 2450, 7307, 1836, 1188, 11539, 3809, 1242, 8291, 14873, 106, 106, 4968, 1538, 4134, 106, 125, 123, 123, 124, 1606, 3699, 1202, 1486, 10248, 1188, 2801, 1524, 1317, 27157, 9556, 1125, 26012, 15406, 1132, 1125, 2801, 106, 106, 28870, 5825, 106, 27566, 1125, 13041, 1419, 20682, 11276, 29232, 22549, 106, 106, 141, 13449, 106, 7135, 1125, 5588, 1167, 9631, 1227, 12630, 6721, 1209, 4657, 1167, 21993, 28028, 2499, 18716, 3212, 488, 124, 132, 132, 127, 106, 8321, 1610, 10960, 15982, 1207, 11897, 8606, 1859, 6721, 21993, 1227, 27157, 19115, 1125, 31773, 15406, 2726, 488, 124, 132, 132, 129, 1808, 1305, 1128, 2289, 1125, 1271, 17792, 7151, 3693, 6721, 21993, 1173, 1462, 1673, 25359, 30895, 488, 124, 132, 132, 130, 106, 2606, 3934, 16430, 1374, 7184, 2851, 6721, 21993, 1198, 1488, 1550, 119, 488, 124, 132, 132, 132, 121, 1606, 6604, 1921, 4766, 1197, 7298, 1188, 1158, 1501, 1315, 1125, 3871, 3156, 13037, 5044, 1125, 1202, 12167, 116, 3133, 1808, 8637, 13173, 1125, 1539, 4586, 7658, 488, 125, 124, 2578, 488, 125, 123, 123, 128, 121, 106, 8925, 3467, 119, 6721, 18378, 4951, 488, 125, 123, 124, 123, 106, 106, 10853, 106, 106, 15779, 1123, 15357, 2720, 1227, 23841, 6298, 106, 15779, 1123, 15357, 2720, 1227, 12136, 25525, 6298, 106, 15779, 1123, 15357, 25569, 106, 151, 24666, 1128, 1227, 3248, 1125, 12547, 3393, 1112, 24019, 106, 153, 3400, 1186, 2921, 488, 124, 132, 128, 127, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 114, 141, 1261, 2950, 172, 1299, 1189, 7130, 1227, 28017, 8446, 1188, 29487, 1125, 1158, 8200, 1174, 3655, 1188, 11793, 1125, 1158, 23139, 1469, 1158, 3276, 18320, 3551, 1470, 22514, 6053, 1170, 6513, 2992, 2466, 1125, 1158, 9287, 18501, 1366, 1125, 1233, 1261, 2950, 172, 3926, 1174, 1124, 1183, 1615, 172, 1313, 7652, 16261, 1125, 18096, 1193, 1660, 119, 1170, 5927, 1125, 2397, 1205, 7653, 20071, 1167, 1158, 3734, 1125, 2397, 1205, 7653, 1210, 7070, 106, 106, 30609, 488, 106, 2606, 7130, 1299, 7271, 119, 1527, 1110, 1913, 15974, 1215, 1207, 3318, 8051, 1485, 2079, 488, 124, 131, 132, 123, 1300, 1207, 1116, 1274, 1312, 1227, 12311, 1125, 1293, 194, 2759, 181, 1325, 2759, 25573, 5715, 2032, 1902, 1233, 5363, 185, 1353, 11171, 1548, 20840, 1299, 19933, 1195, 1829, 4849, 2690, 5450, 2548, 1293, 1137, 3366, 7667, 244, 1125, 1594, 15722, 6102, 1679, 23112, 1219, 1124, 1118, 1293, 1137, 1120, 1357, 2435, 6728, 1740, 2036, 4651, 2004, 14867, 15974, 1170, 7130, 17194, 1149, 1132, 1810, 8446, 1188, 3458, 8936, 1125, 14012, 2648, 1281, 1508, 3662, 1234, 1188, 1233, 1261, 2950, 172, 1357, 3031, 1189, 3601, 1906, 1408, 2824, 175, 1487, 4974, 106, 106, 2606, 1874, 1233, 1261, 2950, 172, 7353, 1880, 1330, 1126, 3601, 1125, 1158, 16535, 27280, 3342, 2004, 1186, 5662, 10374, 26234, 1213, 1197, 15544, 1357, 6096, 3839, 1300, 2320, 1167, 1357, 2368, 29626, 2457, 1188, 1964, 3662, 2071, 3342, 2004, 3042, 7798, 8113, 15550, 1440, 1874, 1317, 7130, 1256, 30751, 1571, 8693, 1701, 1964, 29963, 1188, 9931, 1300, 1207, 8936, 121, 106, 106, 142, 2119, 19933, 1195, 1829, 4849, 1357, 29975, 172, 1222, 1261, 172, 7071, 1124, 1810, 1270, 5094, 19357, 1227, 13023, 1170, 7662, 4698, 12126, 116, 1167, 1357, 1110, 7798, 1594, 1874, 1317, 7130, 8918, 1109, 1125, 7071, 1124, 1183, 1615, 172, 1167, 2487, 1170, 8658, 1299, 3295, 6513, 1125, 1440, 7130, 121, 106, 106, 216, 21396, 9644, 180, 3701, 1233, 1261, 2950, 172, 3031, 1189, 6513, 2992, 2466, 1125, 17578, 1357, 22020, 1370, 1282, 1551, 2497, 28077, 1125, 18096, 1193, 1660, 1167, 4345, 24808, 7572, 1125, 2397, 1205, 7653, 20071, 3747, 1518, 1265, 2357, 1518, 1265, 1474, 18509, 21622, 1456, 1387, 119, 2068, 194, 13649, 106, 106, 25542, 488, 106, 2606, 6513, 18183, 1227, 7130, 1299, 10935, 1293, 1137, 3366, 1167, 1170, 4637, 1125, 1158, 9287, 18501, 1366, 8415, 1354, 1293, 1137, 5068, 106, 2524, 8317, 4813, 2750, 10721, 1148, 488, 126, 1125, 1158, 1805, 3814, 4521, 1125, 488, 125, 123, 124, 126, 1170, 7130, 1125, 1233, 1261, 2950, 172, 1299, 22786, 244, 1317, 7130, 1125, 7071, 1124, 1183, 1615, 172, 1167, 7354, 2772, 1515, 1125, 1233, 1261, 2950, 172, 30733, 1183, 1615, 1810, 2750, 8415, 1354, 1293, 1137, 3366, 4732, 1475, 1293, 1322, 5224, 1299, 12749, 30877, 1125, 1158, 4813, 1835, 488, 125, 123, 124, 127, 1167, 488, 125, 123, 125, 125, 119, 1350, 1153, 1712, 176, 10837, 1149, 1170, 7409, 2844, 1188, 1158, 3011, 1197, 13118, 30535, 1227, 488, 125, 126, 23740, 488, 125, 123, 125, 125, 121, 106, 106, 146, 22857, 488, 106, 4455, 3447, 1837, 1207, 1408, 15913, 1508, 1202, 12638, 2610, 119, 1233, 2869, 1810, 1222, 2323, 1353, 1331, 2086, 7071, 1124, 1183, 1615, 1810, 1202, 12638, 1180, 1285, 4173, 18038, 11265, 24912, 4173, 18038, 1772, 14504, 4816, 1167, 4173, 18038, 7997, 13881, 2181, 106, 106, 22498, 3111, 488, 106, 151, 1500, 1227, 4755, 30987, 1175, 125, 123, 123, 125, 1496, 1233, 1261, 2950, 172, 6036, 1370, 488, 125, 488, 125, 126, 131, 11411, 1167, 488, 124, 126, 126, 12975, 7231, 29845, 1125, 13086, 2004, 30119, 1170, 7130, 1188, 4262, 1125, 13102, 11696, 1188, 21396, 121, 3350, 1317, 4319, 1197, 4092, 488, 125, 123, 124, 123, 119, 1158, 5740, 1110, 9569, 2693, 1291, 244, 1469, 1170, 5464, 1197, 13086, 1279, 1142, 6002, 106, 106, 141, 1261, 2950, 172, 1299, 1996, 1291, 244, 1125, 3318, 8051, 6565, 1233, 5363, 185, 1353, 182, 1285, 6660, 1172, 4277, 8411, 16784, 1204, 12126, 9107, 3795, 1203, 1285, 6218, 1804, 1234, 1167, 1173, 1356, 2805, 121, 106, 106, 3562, 7759, 1197, 3318, 8051, 1485, 4881, 1120, 1186, 2315, 1508, 1139, 1234, 1362, 5255, 1234, 1188, 1233, 1261, 2950, 2036, 106, 106, 224, 15051, 488, 106, 20363, 9876, 3301, 1856, 5610, 1125, 1158, 3734, 119, 1110, 15927, 8355, 1494, 1227, 18828, 1186, 8200, 1174, 8602, 1768, 1299, 11041, 1186, 11266, 26735, 2290, 16354, 19978, 1125, 17902, 17252, 14533, 1298, 1167, 1197, 12555, 1125, 26866, 11497, 1701, 2306, 1473, 1188, 23112, 1124, 1167, 1186, 6556, 1215, 4070, 6389, 3269, 141, 1175, 15297, 1256, 13324, 1317, 4764, 1125, 1233, 1261, 2950, 172, 1576, 2932, 7130, 1299, 12749, 2757, 3458, 4092, 1318, 1197, 1408, 7945, 29602, 5505, 2972, 1125, 1158, 5514, 2651, 1125, 1158, 1579, 1757, 1304, 1119, 4691, 2240, 1186, 8200, 1174, 8602, 106, 106, 155, 12432, 8423, 1167, 1225, 1255, 1140, 1272, 106, 106, 155, 7849, 3608, 1139, 1473, 1188, 1233, 1261, 2950, 172, 488, 106, 8702, 1204, 1274, 1762, 4981, 24981, 106, 4732, 2057, 1173, 21987, 5598, 3657, 2015, 1174, 2444, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 106, 106, 28870, 5825, 488, 106, 488, 9985, 1285, 15414, 1171, 4184, 4536, 1226, 1233, 1261, 2950, 172, 106, 8413, 3447, 6111, 3881, 20739, 1460, 1167, 16724, 29928, 1125, 1158, 9287, 18501, 1366, 1125, 1233, 1261, 2950, 172, 3926, 1174, 1124, 1183, 1615, 172, 4497, 16569, 2275, 119, 2986, 106, 5294, 1403, 8648, 1197, 20022, 9229, 190, 1227, 28017, 4497, 153, 16459, 116, 106, 106, 161, 4824, 1313, 1158, 3734, 1125, 2397, 1205, 7653, 20071, 114, 32001, 488, 106, 32000, 20036, 106, 141, 1261, 2950, 172, 1239, 1110, 7130, 1147, 1173, 2322, 8908, 8452, 1147, 1135, 12961, 1161, 1135, 8200, 1174, 3655, 6289, 1135, 11126, 1324, 3276, 1314, 172, 3551, 1470, 22514, 1988, 1239, 1135, 5564, 1161, 1135, 15498, 4991, 1161, 1233, 1261, 2950, 172, 3926, 1174, 1124, 1183, 1615, 172, 1147, 1135, 18096, 1193, 1660, 3483, 1414, 22040, 2397, 1205, 7653, 20071, 15867, 1171, 2397, 1205, 7653, 20071, 6054, 121, 106, 106, 24436, 106, 1598, 7130, 1239, 1151, 1780, 3310, 20883, 1449, 1135, 3318, 181, 16363, 3575, 488, 124, 131, 132, 123, 1238, 1135, 1296, 13422, 1161, 1135, 1293, 194, 2759, 181, 1325, 2759, 181, 10750, 119, 1110, 3810, 1233, 1558, 1145, 4849, 2032, 3258, 121, 1410, 25100, 1239, 19933, 1195, 1829, 4849, 119, 1959, 5388, 1296, 5450, 2548, 1293, 1137, 3366, 1693, 7428, 1449, 1765, 18021, 6102, 1679, 23112, 1219, 1124, 1118, 1293, 1137, 1120, 2000, 20369, 1156, 12855, 3842, 1940, 20883, 1135, 7130, 1161, 1922, 1149, 1132, 1810, 8452, 6289, 29201, 1171, 2491, 31157, 1147, 1233, 1261, 2950, 1810, 1758, 1463, 1110, 3120, 5069, 1944, 14801, 106, 106, 1598, 2220, 1233, 1261, 2950, 172, 4918, 1330, 2653, 2320, 1161, 1135, 16272, 27280, 4761, 2754, 1799, 2055, 1163, 3691, 15544, 1302, 2025, 4656, 1970, 1171, 26469, 1789, 10209, 15497, 1540, 1799, 8113, 5032, 9448, 1413, 2220, 1163, 1135, 7130, 1163, 6378, 1789, 8073, 1162, 1163, 7277, 1147, 1135, 20193, 106, 106, 4515, 1463, 19933, 1195, 1829, 4849, 2000, 24544, 1222, 1261, 172, 7071, 1124, 1810, 1110, 19960, 1213, 1446, 1135, 25187, 9939, 4698, 12126, 116, 2000, 9448, 1765, 2220, 1163, 1135, 12438, 1149, 7130, 1161, 7071, 1124, 1183, 1615, 1810, 1171, 8957, 1594, 1239, 3517, 1135, 16865, 1161, 1135, 7130, 121, 106, 106, 143, 6129, 1135, 28196, 30467, 1233, 1261, 2950, 172, 1463, 1110, 17578, 5564, 1302, 7869, 1135, 3224, 18096, 1193, 1660, 28077, 1171, 1957, 3966, 1847, 18959, 190, 1161, 2397, 1205, 7653, 1210, 4834, 3813, 1518, 1265, 2357, 1518, 1265, 1474, 18509, 21622, 1456, 1387, 119, 2068, 194, 13649, 106, 106, 25542, 106, 1598, 3224, 7130, 16865, 1239, 10935, 1293, 1137, 3366, 1171, 1135, 10283, 1161, 1135, 15498, 4991, 1239, 8415, 1354, 1293, 1137, 5068, 106, 141, 1168, 10685, 1110, 7389, 3258, 2470, 1135, 488, 125, 123, 124, 126, 2712, 10020, 3520, 1332, 3378, 1135, 7130, 1161, 1233, 1261, 2950, 172, 1239, 21316, 1163, 1135, 7130, 1161, 7071, 1124, 1183, 1615, 172, 1171, 10371, 1135, 7389, 3258, 1161, 1233, 1261, 2950, 172, 7071, 1124, 1183, 1615, 2036, 6226, 8415, 1354, 1293, 1137, 3366, 4732, 1475, 1293, 1322, 5224, 7905, 1135, 2277, 1121, 1161, 1135, 7389, 3258, 2910, 488, 125, 123, 124, 127, 1171, 488, 125, 123, 125, 125, 119, 20369, 1156, 1449, 1350, 1153, 1712, 176, 10837, 1149, 2470, 1135, 17023, 28898, 1161, 6324, 488, 125, 126, 119, 488, 125, 123, 125, 125, 121, 106, 106, 13543, 11114, 106, 1598, 31670, 3447, 2695, 1393, 1202, 12638, 2610, 119, 1233, 2869, 1810, 1222, 2323, 1353, 1331, 2086, 7071, 1124, 1183, 1615, 1810, 1202, 12638, 1180, 1285, 4173, 18038, 11265, 24912, 4173, 18038, 1772, 14504, 4816, 119, 1171, 4173, 18038, 7997, 13881, 2181, 106, 106, 22498, 3111, 106, 1428, 1135, 2977, 14951, 1153, 1175, 125, 123, 123, 125, 1496, 1233, 1261, 2950, 172, 2055, 488, 125, 119, 125, 126, 131, 27550, 1701, 1171, 488, 124, 126, 126, 19177, 1297, 12895, 12847, 3936, 1135, 7130, 5404, 1163, 1781, 8274, 1355, 1135, 7824, 3268, 1147, 1135, 5756, 488, 125, 123, 124, 123, 1285, 1135, 5740, 7003, 21399, 175, 1324, 1135, 1559, 1161, 1279, 4328, 5920, 6099, 106, 106, 141, 1261, 2950, 172, 1239, 6380, 1589, 1449, 3318, 181, 1569, 1285, 1233, 1558, 1145, 4849, 119, 6660, 1172, 4277, 8411, 16784, 18196, 2064, 1252, 1203, 4277, 6218, 1804, 1346, 1171, 8649, 2996, 106, 106, 152, 1531, 1161, 1135, 3318, 181, 16363, 11219, 1147, 2315, 2025, 9204, 1329, 22127, 1147, 1233, 1261, 2950, 2036, 106, 106, 144, 3300, 196, 106, 5318, 9876, 3301, 2141, 6864, 1147, 1135, 1978, 4986, 1602, 25495, 28384, 1446, 1135, 18915, 1147, 8200, 1174, 8602, 1988, 1239, 7455, 2670, 13145, 5827, 26735, 2670, 1135, 1946, 1130, 1153, 1161, 1135, 1173, 2322, 8908, 1983, 5303, 1171, 12555, 1161, 2217, 9736, 2026, 4558, 1147, 23112, 1124, 1171, 6556, 2141, 1135, 1192, 3269, 141, 1175, 15297, 1226, 1135, 12279, 3675, 4449, 1161, 1233, 1261, 2950, 172, 1576, 2192, 7130, 1602, 5180, 1704, 1161, 1135, 10219, 1166, 3913, 1226, 2015, 15296, 1139, 1178, 7045, 1147, 8200, 1174, 1336, 1147, 6986, 10805, 106, 106, 17859, 185, 5676, 1171, 6402, 23269, 106, 106, 155, 26981, 2695, 9204, 1147, 1233, 1261, 2950, 172, 106, 2330, 18465, 1204, 1274, 1762, 7711, 1107, 106, 152, 1132, 2057, 1173, 21987, 8200, 1174, 2444, 12809, 2323, 106, 106, 20634, 1171, 22874, 106, 106, 21320, 1959, 106, 106, 141, 4807, 11114, 106, 106, 26722, 14520, 106, 4434, 1285, 1448, 17604, 1171, 4184, 4536, 1226, 1233, 1261, 2950, 172, 106, 14798, 2678, 1226, 24169, 3674, 1171, 5721, 5883, 1161, 1135, 15498, 4991, 1161, 1233, 1261, 2950, 172, 3926, 1174, 1124, 1183, 1615, 172, 4497, 16569, 2275, 119, 2986, 106, 20528, 1161, 6755, 20022, 1147, 1173, 2322, 8908, 4497, 153, 16459, 116, 106, 106, 161, 4824, 1147, 1135, 2397, 1205, 7653, 20071, 6054, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 141, 1261, 2950, 172, 1239, 1110, 7130, 1147, 1173, 2322, 8908, 8452, 1147, 1135, 12961, 1161, 1135, 8200, 1174, 3655, 6289, 1135, 11126, 1324, 3276, 1314, 172, 3551, 1470, 22514, 1988, 1239, 1135, 5564, 1161, 1135, 15498, 4991, 1161, 1233, 1261, 2950, 172, 3926, 1174, 1124, 1183, 1615, 172, 1147, 1135, 18096, 1193, 1660, 3483, 1414, 22040, 2397, 1205, 7653, 20071, 15867, 1171, 2397, 1205, 7653, 20071, 6054, 121, 106, 106, 24436, 106, 1598, 7130, 1239, 1151, 1780, 3310, 20883, 1449, 1135, 3318, 181, 16363, 3575, 488, 124, 131, 132, 123, 1238, 1135, 1296, 13422, 1161, 1135, 1293, 194, 2759, 181, 1325, 2759, 181, 10750, 119, 1110, 3810, 1233, 1558, 1145, 4849, 2032, 3258, 121, 1410, 25100, 1239, 19933, 1195, 1829, 4849, 119, 1959, 5388, 1296, 5450, 2548, 1293, 1137, 3366, 1693, 7428, 1449, 1765, 18021, 6102, 1679, 23112, 1219, 1124, 1118, 1293, 1137, 1120, 2000, 20369, 1156, 12855, 3842, 1940, 20883, 1135, 7130, 1161, 1922, 1149, 1132, 1810, 8452, 6289, 29201, 1171, 2491, 31157, 1147, 1233, 1261, 2950, 1810, 1758, 1463, 1110, 3120, 5069, 1944, 14801, 106, 106, 1598, 2220, 1233, 1261, 2950, 172, 4918, 1330, 2653, 2320, 1161, 1135, 16272, 27280, 4761, 2754, 1799, 2055, 1163, 3691, 15544, 1302, 2025, 4656, 1970, 1171, 26469, 1789, 10209, 15497, 1540, 1799, 8113, 5032, 9448, 1413, 2220, 1163, 1135, 7130, 1163, 6378, 1789, 8073, 1162, 1163, 7277, 1147, 1135, 20193, 106, 106, 4515, 1463, 19933, 1195, 1829, 4849, 2000, 24544, 1222, 1261, 172, 7071, 1124, 1810, 1110, 19960, 1213, 1446, 1135, 25187, 9939, 4698, 12126, 116, 2000, 9448, 1765, 2220, 1163, 1135, 12438, 1149, 7130, 1161, 7071, 1124, 1183, 1615, 1810, 1171, 8957, 1594, 1239, 3517, 1135, 16865, 1161, 1135, 7130, 121, 106, 106, 143, 6129, 1135, 28196, 30467, 1233, 1261, 2950, 172, 1463, 1110, 17578, 5564, 1302, 7869, 1135, 3224, 18096, 1193, 1660, 28077, 1171, 1957, 3966, 1847, 18959, 190, 1161, 2397, 1205, 7653, 1210, 4834, 3813, 1518, 1265, 2357, 1518, 1265, 1474, 18509, 21622, 1456, 1387, 119, 2068, 194, 13649, 106, 106, 25542, 106, 1598, 3224, 7130, 16865, 1239, 10935, 1293, 1137, 3366, 1171, 1135, 10283, 1161, 1135, 15498, 4991, 1239, 8415, 1354, 1293, 1137, 5068, 106, 141, 1168, 10685, 1110, 7389, 3258, 2470, 1135, 488, 125, 123, 124, 126, 2712, 10020, 3520, 1332, 3378, 1135, 7130, 1161, 1233, 1261, 2950, 172, 1239, 21316, 1163, 1135, 7130, 1161, 7071, 1124, 1183, 1615, 172, 1171, 10371, 1135, 7389, 3258, 1161, 1233, 1261, 2950, 172, 7071, 1124, 1183, 1615, 2036, 6226, 8415, 1354, 1293, 1137, 3366, 4732, 1475, 1293, 1322, 5224, 7905, 1135, 2277, 1121, 1161, 1135, 7389, 3258, 2910, 488, 125, 123, 124, 127, 1171, 488, 125, 123, 125, 125, 119, 20369, 1156, 1449, 1350, 1153, 1712, 176, 10837, 1149, 2470, 1135, 17023, 28898, 1161, 6324, 488, 125, 126, 119, 488, 125, 123, 125, 125, 121, 106, 106, 13543, 11114, 106, 1598, 31670, 3447, 2695, 1393, 1202, 12638, 2610, 119, 1233, 2869, 1810, 1222, 2323, 1353, 1331, 2086, 7071, 1124, 1183, 1615, 1810, 1202, 12638, 1180, 1285, 4173, 18038, 11265, 24912, 4173, 18038, 1772, 14504, 4816, 119, 1171, 4173, 18038, 7997, 13881, 2181, 106, 106, 22498, 3111, 106, 1428, 1135, 2977, 14951, 1153, 1175, 125, 123, 123, 125, 1496, 1233, 1261, 2950, 172, 2055, 488, 125, 119, 125, 126, 131, 27550, 1701, 1171, 488, 124, 126, 126, 19177, 1297, 12895, 12847, 3936, 1135, 7130, 5404, 1163, 1781, 8274, 1355, 1135, 7824, 3268, 1147, 1135, 5756, 488, 125, 123, 124, 123, 1285, 1135, 5740, 7003, 21399, 175, 1324, 1135, 1559, 1161, 1279, 4328, 5920, 6099, 106, 106, 141, 1261, 2950, 172, 1239, 6380, 1589, 1449, 3318, 181, 1569, 1285, 1233, 1558, 1145, 4849, 119, 6660, 1172, 4277, 8411, 16784, 18196, 2064, 1252, 1203, 4277, 6218, 1804, 1346, 1171, 8649, 2996, 106, 106, 152, 1531, 1161, 1135, 3318, 181, 16363, 11219, 1147, 2315, 2025, 9204, 1329, 22127, 1147, 1233, 1261, 2950, 2036, 106, 106, 144, 3300, 196, 106, 5318, 9876, 3301, 2141, 6864, 1147, 1135, 1978, 4986, 1602, 25495, 28384, 1446, 1135, 18915, 1147, 8200, 1174, 8602, 1988, 1239, 7455, 2670, 13145, 5827, 26735, 2670, 1135, 1946, 1130, 1153, 1161, 1135, 1173, 2322, 8908, 1983, 5303, 1171, 12555, 1161, 2217, 9736, 2026, 4558, 1147, 23112, 1124, 1171, 6556, 2141, 1135, 1192, 3269, 141, 1175, 15297, 1226, 1135, 12279, 3675, 4449, 1161, 1233, 1261, 2950, 172, 1576, 2192, 7130, 1602, 5180, 1704, 1161, 1135, 10219, 1166, 3913, 1226, 2015, 15296, 1139, 1178, 7045, 1147, 8200, 1174, 1336, 1147, 6986, 10805, 106, 106, 17859, 185, 5676, 1171, 6402, 23269, 106, 106, 155, 26981, 2695, 9204, 1147, 1233, 1261, 2950, 172, 106, 2330, 18465, 1204, 1274, 1762, 7711, 1107, 106, 152, 1132, 2057, 1173, 21987, 8200, 1174, 2444, 12809, 2323, 106, 106, 20634, 1171, 22874, 106, 106, 21320, 1959, 106, 106, 141, 4807, 11114, 106, 106, 26722, 14520, 106, 4434, 1285, 1448, 17604, 1171, 4184, 4536, 1226, 1233, 1261, 2950, 172, 106, 14798, 2678, 1226, 24169, 3674, 1171, 5721, 5883, 1161, 1135, 15498, 4991, 1161, 1233, 1261, 2950, 172, 3926, 1174, 1124, 1183, 1615, 172, 4497, 16569, 2275, 119, 2986, 106, 20528, 1161, 6755, 20022, 1147, 1173, 2322, 8908, 4497, 153, 16459, 116, 106, 106, 161, 4824, 1147, 1135, 2397, 1205, 7653, 20071, 6054, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 2606, 12179, 7812, 3376, 1244, 1299, 1189, 2678, 11739, 11481, 1227, 20295, 2079, 1199, 1125, 1158, 17451, 1204, 1267, 1118, 5544, 8446, 1300, 1158, 2811, 1196, 6973, 1227, 29792, 22501, 2733, 3310, 1313, 1158, 23361, 1125, 7812, 3376, 5161, 1313, 1158, 23361, 17802, 1125, 21836, 4698, 11101, 116, 16324, 17116, 120, 15440, 7480, 17936, 1313, 1158, 3734, 9533, 1125, 1158, 1173, 14630, 1108, 1242, 4101, 1183, 17116, 120, 5522, 3100, 1313, 1158, 10660, 1125, 28064, 1317, 26015, 106, 106, 3562, 20000, 4054, 10845, 1158, 11419, 8263, 7568, 1227, 6485, 2040, 1207, 5736, 4341, 1568, 1190, 1157, 26071, 1186, 2423, 1469, 1318, 2630, 2100, 1125, 20019, 1634, 23906, 1193, 1234, 5350, 1313, 1158, 1138, 9312, 1125, 5891, 1243, 1167, 6365, 1125, 1271, 8043, 6559, 1278, 1125, 1158, 17451, 1571, 1173, 2234, 2040, 1158, 6233, 1125, 9876, 3301, 1186, 8483, 121, 106, 106, 3562, 5820, 2769, 3006, 1366, 25883, 1158, 2811, 1196, 6973, 1167, 1158, 2811, 1196, 30811, 1227, 12179, 2040, 1158, 5820, 14163, 2139, 29809, 1158, 2811, 1196, 6455, 1167, 1170, 8052, 1197, 6527, 1452, 2007, 29809, 1158, 2811, 1196, 7572, 121, 20702, 16633, 23672, 2805, 26487, 30960, 1129, 1207, 21843, 1429, 1167, 1207, 27867, 1227, 12179, 7812, 3376, 1244, 1256, 1207, 7571, 1197, 5736, 4341, 1568, 1190, 1157, 1120, 13760, 106, 106, 3562, 6300, 1227, 12179, 7812, 3376, 1244, 1299, 4393, 9124, 17900, 1303, 1125, 1158, 1622, 2578, 1317, 4319, 3012, 119, 12634, 1158, 13611, 3355, 4192, 1300, 1158, 17866, 1281, 1844, 7492, 1125, 1158, 6534, 2065, 16870, 1188, 1158, 1622, 1557, 1297, 106, 106, 146, 22857, 106, 4455, 12186, 10844, 1554, 2079, 1701, 8918, 1554, 1227, 12179, 7812, 3376, 1244, 1508, 1257, 106, 174, 28376, 6973, 1257, 12179, 19933, 1123, 1307, 26029, 17451, 29145, 6383, 30895, 17451, 3261, 261, 21619, 2040, 106, 174, 28376, 7572, 1257, 1275, 7095, 1227, 12179, 3261, 1470, 2114, 1275, 7095, 2134, 6231, 1125, 1158, 8644, 2487, 1170, 12179, 1198, 2508, 1762, 21308, 1774, 1188, 14097, 1392, 2040, 106, 174, 28376, 6455, 1257, 1177, 9895, 1334, 14163, 4277, 1177, 9895, 1334, 1293, 1444, 7655, 17451, 1173, 14630, 1108, 1242, 2040, 106, 174, 28376, 30811, 1257, 17451, 1204, 1267, 1118, 5544, 17451, 29145, 6383, 30895, 12179, 12313, 5522, 6871, 106, 106, 2606, 12179, 7812, 3376, 1244, 1299, 5350, 20669, 244, 1125, 9355, 23672, 2805, 2040, 1170, 7130, 1125, 7812, 3376, 1244, 1299, 8446, 1317, 6455, 9081, 12925, 121, 1548, 12179, 7812, 3376, 1244, 12262, 1318, 16618, 1125, 488, 128, 119, 131, 1498, 5862, 1318, 30189, 19914, 1125, 488, 125, 119, 129, 7275, 1167, 1318, 30804, 1125, 488, 126, 126, 123, 22895, 2932, 2678, 10864, 28803, 1199, 1188, 1189, 25501, 1299, 20675, 4160, 1215, 1158, 19441, 1227, 1165, 12228, 4853, 3299, 1157, 1357, 1299, 22786, 1303, 1317, 8007, 1125, 1158, 2811, 1196, 6455, 1167, 1215, 1318, 2257, 5357, 11363, 22786, 1303, 1188, 1158, 2811, 1196, 6973, 31661, 3932, 1199, 1300, 488, 124, 119, 129, 7275, 2079, 1170, 6455, 2040, 1816, 2257, 5357, 11363, 30781, 1125, 5087, 20019, 1634, 1299, 4759, 1303, 1313, 1170, 4061, 1125, 1561, 16618, 1215, 1170, 3285, 1125, 1158, 17451, 1571, 1173, 2234, 3615, 1462, 6973, 3441, 1506, 1576, 106, 106, 18263, 8043, 6559, 1278, 1227, 12179, 7812, 3376, 1244, 1299, 2032, 18188, 1317, 7130, 1125, 7812, 3376, 5161, 1188, 1257, 106, 128, 129, 123, 7275, 1317, 6973, 30967, 1125, 1271, 8043, 6559, 1278, 1227, 12179, 12313, 15440, 1175, 1636, 17872, 1469, 1158, 17451, 1173, 14630, 1108, 1242, 116, 2040, 106, 127, 128, 7275, 1317, 6455, 30967, 1227, 3285, 1125, 1158, 17451, 29145, 6383, 5778, 2040, 106, 125, 123, 7275, 1317, 6973, 30967, 1125, 1271, 8043, 6559, 1278, 1125, 1158, 17451, 1204, 1267, 1118, 182, 2040, 106, 125, 123, 7275, 1317, 6973, 30967, 1227, 29703, 1415, 1125, 2068, 1724, 2040, 106, 124, 124, 128, 7275, 1317, 6973, 9081, 12925, 1227, 29703, 1415, 1125, 1173, 14630, 1108, 24547, 106, 106, 216, 3862, 1125, 1271, 8043, 6559, 1278, 1227, 12179, 7812, 3376, 5161, 1170, 12135, 8295, 1170, 3285, 1125, 1158, 17451, 1204, 1267, 1118, 182, 1300, 488, 131, 123, 7275, 2079, 1170, 6455, 9081, 192, 7965, 1256, 1281, 1275, 2094, 1107, 1300, 1158, 2811, 1196, 6973, 1125, 1158, 17451, 1173, 14630, 1108, 24547, 1867, 14012, 1170, 12135, 8295, 1170, 3285, 3945, 7111, 1125, 1816, 6128, 11507, 13476, 15893, 29792, 22501, 2733, 4364, 106, 106, 9748, 8150, 1214, 106, 22507, 1594, 3598, 1125, 488, 124, 131, 132, 128, 1300, 1170, 17578, 1125, 7812, 3376, 5161, 1282, 7188, 1849, 1136, 4613, 244, 27969, 3699, 4732, 191, 7655, 1844, 6891, 1188, 1606, 12179, 1571, 6375, 1512, 1634, 1524, 1256, 10311, 1816, 1754, 18742, 11739, 121, 1643, 1163, 1614, 3291, 1214, 22256, 7269, 2803, 488, 124, 125, 6314, 10864, 10184, 1170, 6706, 1606, 7812, 3376, 1244, 4821, 1548, 1874, 1227, 12179, 7812, 3376, 1244, 20861, 1170, 1874, 1125, 1158, 23361, 1167, 1227, 17578, 2585, 1527, 1299, 2668, 3502, 4466, 2069, 15323, 1234, 1497, 2035, 1121, 1129, 9436, 29678, 21296, 7812, 3376, 5161, 2682, 17215, 1125, 11173, 1118, 2184, 180, 1835, 488, 124, 131, 132, 125, 1167, 488, 124, 132, 125, 131, 121, 106, 106, 2606, 1163, 1614, 20028, 1606, 16324, 7812, 3376, 1244, 1524, 1110, 1913, 6755, 4160, 1170, 488, 128, 2584, 488, 124, 132, 132, 129, 1215, 1158, 5204, 1125, 1163, 1614, 3291, 1214, 1227, 8579, 121, 32001, 488, 106, 32000, 20036, 106, 151, 2187, 7812, 3376, 1244, 1239, 1110, 11115, 16909, 5111, 1147, 1135, 30134, 2718, 1161, 1135, 1204, 1267, 1118, 182, 11662, 119, 8452, 1238, 1135, 5584, 1492, 1345, 1161, 1135, 3281, 7432, 27036, 11662, 119, 1147, 1135, 7389, 3258, 1161, 7812, 3376, 5161, 1147, 1135, 17567, 21384, 7389, 3258, 4698, 11101, 116, 1161, 16324, 17116, 120, 15440, 7480, 17936, 1147, 1135, 9533, 6054, 1161, 1173, 14630, 1108, 1242, 4101, 1183, 17116, 120, 5522, 3100, 1147, 1135, 10660, 1161, 5947, 12910, 119, 26015, 106, 106, 3952, 1182, 1857, 1239, 1135, 2274, 8947, 10661, 1147, 1135, 5457, 134, 1685, 1112, 1967, 10669, 4246, 2423, 1324, 1905, 1110, 11635, 1116, 3604, 1741, 19847, 8452, 1147, 1135, 8961, 1138, 1242, 1171, 3575, 1135, 18835, 1161, 1135, 16695, 1571, 1173, 2234, 134, 1135, 7130, 5457, 6227, 4823, 121, 106, 106, 19698, 10273, 13388, 4957, 1135, 5584, 1171, 5206, 1492, 4731, 1161, 1135, 31781, 134, 14163, 2139, 10273, 19562, 1135, 5343, 1492, 1345, 1171, 29666, 1162, 1201, 10569, 19562, 1135, 8961, 1492, 6677, 29347, 1132, 20649, 20000, 30025, 6394, 1135, 1138, 1775, 1171, 19071, 8333, 1161, 13402, 7812, 3376, 1244, 1226, 1685, 1112, 1967, 2625, 10585, 106, 106, 1598, 6300, 1161, 13402, 7812, 3376, 1244, 1239, 9113, 13281, 7641, 1446, 8322, 7286, 1163, 5756, 5728, 6152, 15220, 10129, 14791, 7427, 1239, 9113, 1446, 7515, 120, 2524, 6642, 1163, 8322, 5696, 121, 106, 106, 13543, 11114, 106, 1598, 2274, 12438, 1149, 30134, 2718, 190, 1161, 13402, 7812, 3376, 1244, 24144, 106, 153, 3036, 5054, 133, 13402, 19933, 1123, 1307, 26029, 4873, 1456, 1105, 5778, 11662, 119, 3261, 261, 21619, 11662, 134, 106, 144, 1573, 5054, 133, 3261, 8890, 13402, 1513, 7095, 119, 1513, 7095, 1446, 1110, 2957, 1161, 1158, 17428, 3813, 1198, 2508, 196, 13402, 119, 21308, 1774, 1188, 14097, 1392, 134, 106, 158, 3297, 5054, 133, 14163, 1141, 1165, 1807, 5544, 1293, 1444, 1298, 1165, 1807, 5544, 1173, 14630, 1108, 1242, 11662, 134, 106, 162, 1182, 5054, 133, 1204, 1267, 1118, 182, 11662, 119, 4873, 1456, 1105, 5778, 11662, 119, 13402, 12313, 5522, 6871, 106, 106, 151, 2187, 7812, 3376, 1244, 1239, 15726, 12035, 1156, 1449, 1226, 5463, 8333, 134, 1135, 7130, 1161, 7812, 3376, 1244, 1239, 8452, 1163, 1135, 5343, 14654, 121, 13402, 7812, 3376, 1244, 1602, 1110, 4577, 1161, 488, 128, 121, 131, 1498, 5862, 1110, 5146, 6638, 1161, 488, 125, 121, 129, 7275, 1171, 1151, 19224, 1162, 1161, 488, 126, 126, 123, 22895, 2192, 1116, 1312, 3196, 9243, 16732, 5111, 1161, 4784, 1239, 5080, 2928, 1449, 1135, 1202, 23177, 1227, 1165, 12228, 4853, 3299, 13723, 1758, 1239, 21316, 1163, 1135, 10638, 1161, 1135, 5343, 1492, 8796, 1171, 1449, 1110, 9955, 1554, 9178, 21316, 1163, 1135, 5584, 1492, 1345, 24140, 1149, 488, 124, 121, 129, 7275, 10553, 2405, 134, 1413, 9955, 1554, 1203, 1810, 1324, 2717, 1116, 3604, 6523, 1239, 7634, 1156, 4577, 5494, 1449, 1135, 4235, 1161, 1135, 11662, 1571, 1173, 2234, 6229, 3036, 3441, 3297, 4595, 1576, 106, 106, 1598, 18835, 1161, 13402, 7812, 3376, 1244, 1239, 8452, 1147, 1135, 7130, 1161, 7812, 3376, 5161, 1355, 133, 106, 128, 129, 123, 7275, 1139, 1249, 22629, 1161, 1135, 18835, 1161, 13402, 12313, 15440, 1175, 1636, 17872, 1324, 1135, 1173, 14630, 1108, 1242, 11662, 3628, 106, 127, 128, 7275, 7080, 22629, 1161, 1135, 4235, 1161, 1135, 4873, 1456, 1105, 5778, 11662, 134, 106, 125, 123, 7275, 1139, 1249, 22629, 1161, 1135, 18835, 1161, 1135, 1204, 1267, 1118, 182, 11662, 134, 106, 125, 123, 7275, 1139, 1249, 22629, 1161, 29192, 2068, 1724, 134, 106, 124, 124, 128, 7275, 10537, 14654, 1161, 29192, 1173, 14630, 1108, 24547, 106, 106, 6937, 1135, 18835, 1161, 13402, 7812, 3376, 5161, 1135, 3224, 14213, 1135, 4235, 1161, 1135, 1204, 1267, 1118, 182, 11662, 1226, 488, 131, 123, 7275, 10553, 194, 7965, 1163, 7558, 2127, 1135, 5584, 1492, 1345, 1161, 1135, 1173, 14630, 1108, 1242, 11662, 121, 7752, 16381, 1135, 3224, 14213, 1135, 4235, 1161, 1413, 16695, 119, 4945, 27242, 1135, 3281, 7432, 27036, 11662, 121, 106, 106, 9748, 8150, 196, 106, 1428, 1765, 488, 124, 131, 132, 128, 3744, 1238, 1135, 7812, 3376, 1244, 8046, 10505, 119, 16148, 1121, 120, 1315, 1137, 3030, 3699, 4732, 191, 1298, 18847, 1163, 6824, 4962, 13402, 109, 1163, 13218, 1413, 5111, 1161, 30000, 5947, 12910, 1361, 1163, 1614, 3291, 196, 7245, 488, 124, 125, 23086, 1161, 4784, 3068, 1135, 6326, 7484, 1219, 3376, 1244, 4095, 1410, 2220, 1161, 13402, 7812, 3376, 1244, 7175, 2019, 2220, 1446, 1135, 7389, 3258, 1171, 8046, 10505, 2468, 1341, 1239, 8452, 121, 5375, 2197, 26861, 1856, 19727, 1230, 9436, 29678, 21296, 7812, 3376, 5161, 1138, 21681, 1161, 11173, 1118, 2184, 180, 2910, 488, 124, 131, 132, 125, 1171, 488, 124, 132, 125, 131, 121, 106, 106, 1598, 1163, 1614, 3291, 7484, 2187, 7812, 3376, 1244, 109, 1463, 21137, 2928, 1238, 7262, 488, 128, 119, 488, 124, 132, 132, 129, 1449, 1135, 8726, 8150, 196, 5204, 1161, 5947, 12910, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 151, 2187, 7812, 3376, 1244, 1239, 1110, 11115, 16909, 5111, 1147, 1135, 30134, 2718, 1161, 1135, 1204, 1267, 1118, 182, 11662, 119, 8452, 1238, 1135, 5584, 1492, 1345, 1161, 1135, 3281, 7432, 27036, 11662, 119, 1147, 1135, 7389, 3258, 1161, 7812, 3376, 5161, 1147, 1135, 17567, 21384, 7389, 3258, 4698, 11101, 116, 1161, 16324, 17116, 120, 15440, 7480, 17936, 1147, 1135, 9533, 6054, 1161, 1173, 14630, 1108, 1242, 4101, 1183, 17116, 120, 5522, 3100, 1147, 1135, 10660, 1161, 5947, 12910, 119, 26015, 106, 106, 3952, 1182, 1857, 1239, 1135, 2274, 8947, 10661, 1147, 1135, 5457, 134, 1685, 1112, 1967, 10669, 4246, 2423, 1324, 1905, 1110, 11635, 1116, 3604, 1741, 19847, 8452, 1147, 1135, 8961, 1138, 1242, 1171, 3575, 1135, 18835, 1161, 1135, 16695, 1571, 1173, 2234, 134, 1135, 7130, 5457, 6227, 4823, 121, 106, 106, 19698, 10273, 13388, 4957, 1135, 5584, 1171, 5206, 1492, 4731, 1161, 1135, 31781, 134, 14163, 2139, 10273, 19562, 1135, 5343, 1492, 1345, 1171, 29666, 1162, 1201, 10569, 19562, 1135, 8961, 1492, 6677, 29347, 1132, 20649, 20000, 30025, 6394, 1135, 1138, 1775, 1171, 19071, 8333, 1161, 13402, 7812, 3376, 1244, 1226, 1685, 1112, 1967, 2625, 10585, 106, 106, 1598, 6300, 1161, 13402, 7812, 3376, 1244, 1239, 9113, 13281, 7641, 1446, 8322, 7286, 1163, 5756, 5728, 6152, 15220, 10129, 14791, 7427, 1239, 9113, 1446, 7515, 120, 2524, 6642, 1163, 8322, 5696, 121, 106, 106, 13543, 11114, 106, 1598, 2274, 12438, 1149, 30134, 2718, 190, 1161, 13402, 7812, 3376, 1244, 24144, 106, 153, 3036, 5054, 133, 13402, 19933, 1123, 1307, 26029, 4873, 1456, 1105, 5778, 11662, 119, 3261, 261, 21619, 11662, 134, 106, 144, 1573, 5054, 133, 3261, 8890, 13402, 1513, 7095, 119, 1513, 7095, 1446, 1110, 2957, 1161, 1158, 17428, 3813, 1198, 2508, 196, 13402, 119, 21308, 1774, 1188, 14097, 1392, 134, 106, 158, 3297, 5054, 133, 14163, 1141, 1165, 1807, 5544, 1293, 1444, 1298, 1165, 1807, 5544, 1173, 14630, 1108, 1242, 11662, 134, 106, 162, 1182, 5054, 133, 1204, 1267, 1118, 182, 11662, 119, 4873, 1456, 1105, 5778, 11662, 119, 13402, 12313, 5522, 6871, 106, 106, 151, 2187, 7812, 3376, 1244, 1239, 15726, 12035, 1156, 1449, 1226, 5463, 8333, 134, 1135, 7130, 1161, 7812, 3376, 1244, 1239, 8452, 1163, 1135, 5343, 14654, 121, 13402, 7812, 3376, 1244, 1602, 1110, 4577, 1161, 488, 128, 121, 131, 1498, 5862, 1110, 5146, 6638, 1161, 488, 125, 121, 129, 7275, 1171, 1151, 19224, 1162, 1161, 488, 126, 126, 123, 22895, 2192, 1116, 1312, 3196, 9243, 16732, 5111, 1161, 4784, 1239, 5080, 2928, 1449, 1135, 1202, 23177, 1227, 1165, 12228, 4853, 3299, 13723, 1758, 1239, 21316, 1163, 1135, 10638, 1161, 1135, 5343, 1492, 8796, 1171, 1449, 1110, 9955, 1554, 9178, 21316, 1163, 1135, 5584, 1492, 1345, 24140, 1149, 488, 124, 121, 129, 7275, 10553, 2405, 134, 1413, 9955, 1554, 1203, 1810, 1324, 2717, 1116, 3604, 6523, 1239, 7634, 1156, 4577, 5494, 1449, 1135, 4235, 1161, 1135, 11662, 1571, 1173, 2234, 6229, 3036, 3441, 3297, 4595, 1576, 106, 106, 1598, 18835, 1161, 13402, 7812, 3376, 1244, 1239, 8452, 1147, 1135, 7130, 1161, 7812, 3376, 5161, 1355, 133, 106, 128, 129, 123, 7275, 1139, 1249, 22629, 1161, 1135, 18835, 1161, 13402, 12313, 15440, 1175, 1636, 17872, 1324, 1135, 1173, 14630, 1108, 1242, 11662, 3628, 106, 127, 128, 7275, 7080, 22629, 1161, 1135, 4235, 1161, 1135, 4873, 1456, 1105, 5778, 11662, 134, 106, 125, 123, 7275, 1139, 1249, 22629, 1161, 1135, 18835, 1161, 1135, 1204, 1267, 1118, 182, 11662, 134, 106, 125, 123, 7275, 1139, 1249, 22629, 1161, 29192, 2068, 1724, 134, 106, 124, 124, 128, 7275, 10537, 14654, 1161, 29192, 1173, 14630, 1108, 24547, 106, 106, 6937, 1135, 18835, 1161, 13402, 7812, 3376, 5161, 1135, 3224, 14213, 1135, 4235, 1161, 1135, 1204, 1267, 1118, 182, 11662, 1226, 488, 131, 123, 7275, 10553, 194, 7965, 1163, 7558, 2127, 1135, 5584, 1492, 1345, 1161, 1135, 1173, 14630, 1108, 1242, 11662, 121, 7752, 16381, 1135, 3224, 14213, 1135, 4235, 1161, 1413, 16695, 119, 4945, 27242, 1135, 3281, 7432, 27036, 11662, 121, 106, 106, 9748, 8150, 196, 106, 1428, 1765, 488, 124, 131, 132, 128, 3744, 1238, 1135, 7812, 3376, 1244, 8046, 10505, 119, 16148, 1121, 120, 1315, 1137, 3030, 3699, 4732, 191, 1298, 18847, 1163, 6824, 4962, 13402, 109, 1163, 13218, 1413, 5111, 1161, 30000, 5947, 12910, 1361, 1163, 1614, 3291, 196, 7245, 488, 124, 125, 23086, 1161, 4784, 3068, 1135, 6326, 7484, 1219, 3376, 1244, 4095, 1410, 2220, 1161, 13402, 7812, 3376, 1244, 7175, 2019, 2220, 1446, 1135, 7389, 3258, 1171, 8046, 10505, 2468, 1341, 1239, 8452, 121, 5375, 2197, 26861, 1856, 19727, 1230, 9436, 29678, 21296, 7812, 3376, 5161, 1138, 21681, 1161, 11173, 1118, 2184, 180, 2910, 488, 124, 131, 132, 125, 1171, 488, 124, 132, 125, 131, 121, 106, 106, 1598, 1163, 1614, 3291, 7484, 2187, 7812, 3376, 1244, 109, 1463, 21137, 2928, 1238, 7262, 488, 128, 119, 488, 124, 132, 132, 129, 1449, 1135, 8726, 8150, 196, 5204, 1161, 5947, 12910, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 114, 147, 1249, 1811, 7346, 1118, 197, 2982, 14232, 1170, 488, 124, 129, 2921, 488, 124, 132, 132, 131, 1188, 2801, 31105, 1496, 1299, 1318, 10809, 1632, 5964, 1125, 14690, 27389, 121, 106, 106, 141, 11741, 106, 15539, 8718, 1170, 14690, 1188, 19910, 1125, 488, 129, 2165, 1313, 1170, 5878, 1125, 9368, 2296, 16604, 1405, 3861, 1635, 119, 2648, 2399, 16853, 1186, 488, 125, 123, 124, 124, 1188, 6188, 2178, 3672, 7762, 2165, 7542, 11786, 2399, 18900, 1189, 3694, 1125, 22672, 1245, 1125, 2315, 1405, 124, 131, 119, 1667, 1186, 12242, 1199, 1469, 10796, 3453, 1186, 20177, 488, 125, 121, 3450, 29698, 1215, 1158, 3011, 1170, 4779, 1125, 3968, 1125, 30503, 9378, 1104, 2585, 2399, 1844, 3458, 1465, 1662, 1420, 1469, 10796, 27720, 2399, 24389, 1188, 488, 124, 119, 131, 2151, 1125, 8468, 1256, 1561, 3453, 6586, 1186, 4083, 1309, 4071, 1445, 1167, 5843, 1167, 2648, 1158, 6586, 10549, 2399, 24389, 1188, 488, 124, 119, 128, 128, 4153, 1125, 8468, 1300, 1909, 1465, 1662, 1420, 1186, 1200, 20699, 121, 106, 106, 1686, 1913, 488, 125, 123, 124, 131, 119, 2399, 12368, 1256, 1170, 5878, 1125, 3281, 4379, 2082, 1306, 1262, 1511, 30503, 1186, 4083, 1309, 6311, 1127, 2322, 1632, 1256, 1158, 6586, 488, 125, 123, 124, 131, 122, 125, 123, 124, 132, 121, 106, 106, 1686, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 119, 2399, 7354, 25468, 1167, 1127, 2322, 1632, 12456, 121, 3450, 6252, 488, 132, 4153, 1256, 488, 124, 125, 24266, 1805, 1120, 4111, 2714, 1170, 20502, 1863, 197, 244, 30503, 1188, 1282, 9587, 1200, 20699, 488, 125, 123, 124, 132, 121, 3450, 4881, 1123, 1594, 3783, 1125, 4153, 3691, 1188, 1282, 2235, 22643, 2585, 2399, 6252, 488, 124, 130, 4153, 1256, 488, 129, 24266, 1805, 1120, 4111, 1300, 1170, 1215, 9871, 1125, 7163, 3847, 3450, 2367, 488, 124, 123, 4153, 2714, 1539, 2162, 1242, 30503, 1167, 30503, 9378, 1457, 3450, 12425, 2072, 488, 130, 24266, 1300, 1170, 1215, 9871, 1125, 13598, 28862, 19666, 140, 2865, 16157, 6982, 1318, 7031, 6586, 1469, 1170, 1306, 1262, 1511, 1175, 129, 119, 132, 22233, 488, 128, 9505, 1414, 1285, 488, 127, 24266, 1805, 1120, 4111, 1167, 488, 125, 119, 130, 4810, 1328, 7171, 1813, 1256, 488, 131, 119, 130, 7993, 6726, 1496, 2399, 12368, 1256, 1158, 6586, 10549, 1469, 9378, 5020, 22514, 106, 106, 1686, 2875, 488, 125, 123, 125, 124, 119, 2399, 18900, 1158, 24722, 16834, 1125, 1158, 14300, 11859, 1469, 10796, 1125, 2315, 488, 126, 195, 126, 1197, 2864, 1125, 488, 125, 126, 8793, 106, 106, 224, 1134, 28685, 1125, 2315, 106, 17971, 16277, 22572, 488, 125, 123, 124, 128, 119, 2399, 1299, 3320, 4586, 1303, 24019, 1469, 12547, 15565, 1125, 2315, 1405, 124, 131, 121, 1653, 488, 125, 123, 124, 129, 119, 1317, 16277, 22572, 1405, 124, 131, 119, 10796, 1125, 2315, 1895, 8676, 1303, 1215, 7132, 1575, 3984, 1213, 3736, 21835, 1170, 16277, 22572, 1186, 8585, 1199, 5613, 19085, 488, 130, 127, 120, 127, 127, 121, 3450, 20235, 1158, 15142, 1188, 488, 125, 119, 125, 4153, 1125, 8468, 1167, 1189, 3783, 1125, 488, 124, 123, 4153, 2714, 1158, 25350, 1538, 2620, 2399, 1177, 2214, 1186, 8468, 488, 124, 124, 119, 132, 4826, 1215, 3904, 121, 106, 106, 140, 6854, 12547, 15565, 1125, 2315, 1405, 124, 132, 119, 1158, 2315, 1805, 10928, 1158, 24501, 2320, 1571, 4322, 19754, 1227, 12630, 31742, 1303, 1186, 16121, 1125, 12244, 1215, 1207, 3569, 6687, 106, 106, 15539, 13300, 1317, 16277, 22572, 1469, 12547, 15565, 1125, 2315, 1405, 125, 123, 1186, 488, 125, 123, 124, 130, 121, 1643, 2315, 18764, 1158, 16934, 13571, 1971, 1452, 1303, 1215, 1158, 14512, 1256, 1170, 10443, 1125, 1158, 24722, 1125, 21683, 121, 1653, 488, 125, 123, 124, 131, 119, 1158, 2315, 1251, 18764, 1158, 4593, 3555, 14801, 106, 106, 1686, 488, 125, 123, 124, 131, 119, 2399, 1299, 5266, 11980, 1186, 2605, 15565, 1125, 2315, 1192, 8210, 106, 106, 140, 6854, 10796, 1125, 2315, 30284, 1125, 14690, 27389, 1188, 3203, 119, 2399, 18900, 1158, 24722, 24019, 2391, 1197, 10765, 21741, 1125, 488, 125, 123, 125, 126, 1188, 1165, 2451, 1651, 4654, 106, 106, 155, 26361, 9915, 2961, 28226, 1317, 16277, 22572, 1405, 124, 131, 488, 125, 123, 124, 128, 121, 9915, 2961, 22837, 1317, 16277, 22572, 1405, 124, 131, 488, 125, 123, 124, 129, 121, 9915, 2961, 22837, 1125, 1158, 14300, 11859, 488, 126, 195, 126, 1186, 1405, 125, 126, 121, 9915, 2961, 22837, 1188, 1158, 11609, 1227, 2854, 1125, 14690, 27389, 488, 126, 231, 126, 488, 125, 123, 125, 125, 121, 9915, 2961, 16834, 1188, 1158, 11609, 9285, 7289, 1125, 14690, 27389, 488, 126, 231, 126, 488, 125, 123, 125, 125, 9915, 2961, 28226, 1188, 1158, 11609, 1227, 2854, 1125, 14690, 27389, 488, 126, 231, 126, 488, 125, 123, 125, 126, 9915, 2961, 24019, 1571, 10765, 21741, 1125, 488, 125, 123, 125, 126, 106, 106, 28870, 5825, 106, 106, 149, 15167, 1632, 5964, 1125, 14690, 27389, 1321, 15167, 1632, 1125, 30503, 9378, 1104, 1321, 15167, 1632, 1125, 1306, 1262, 1511, 17116, 4379, 2082, 1321, 15167, 1632, 1125, 14690, 27389, 1125, 9378, 5020, 1334, 1321, 15167, 1632, 10903, 5964, 1125, 14690, 27389, 1188, 3203, 1266, 3400, 1186, 2921, 488, 124, 132, 132, 131, 1266, 3400, 1188, 2801, 2605, 183, 4567, 1125, 1282, 3625, 147, 2899, 8230, 5761, 114, 32001, 488, 106, 32000, 20036, 106, 147, 1249, 1811, 7346, 1118, 197, 2982, 9204, 1238, 6942, 488, 124, 129, 119, 488, 124, 132, 132, 131, 1147, 2801, 31105, 1496, 1239, 1110, 9197, 25471, 2489, 1657, 106, 106, 141, 180, 11114, 106, 30559, 5970, 9096, 25471, 1355, 1135, 7227, 1161, 488, 129, 1147, 1135, 9368, 2296, 16604, 1405, 3861, 1635, 5878, 119, 2491, 12702, 1147, 6188, 2178, 1147, 488, 125, 123, 124, 124, 1226, 5992, 3162, 3545, 1758, 2293, 9917, 1110, 5783, 1161, 9197, 22672, 1405, 124, 131, 119, 2884, 9096, 1324, 1135, 1940, 3390, 1147, 4966, 488, 125, 121, 3676, 2491, 14010, 1135, 6788, 8302, 1161, 30503, 9378, 1104, 2468, 2293, 3062, 1957, 5624, 2339, 1324, 1135, 8801, 25419, 5979, 7025, 488, 124, 121, 131, 4153, 1147, 2067, 1940, 6062, 1296, 1110, 16805, 1171, 2453, 2726, 1171, 2491, 5979, 7025, 488, 124, 121, 128, 128, 4153, 1147, 2067, 5624, 2339, 1147, 1135, 1200, 20699, 1135, 3602, 25972, 106, 106, 1428, 1135, 11717, 1161, 488, 125, 123, 124, 131, 119, 2293, 13942, 1324, 1135, 3281, 4379, 2082, 1306, 1262, 1511, 30503, 5878, 1296, 1135, 2423, 2151, 20773, 1226, 1135, 488, 125, 123, 124, 131, 122, 125, 123, 124, 132, 25972, 106, 106, 1428, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 119, 2293, 7905, 2195, 3697, 1171, 9328, 2151, 2166, 16639, 3676, 22568, 488, 132, 4153, 1324, 488, 124, 125, 1693, 4045, 4064, 20502, 1863, 197, 244, 30503, 1355, 1135, 1200, 20699, 488, 125, 123, 124, 132, 4671, 4414, 3676, 2142, 2067, 3783, 1161, 4153, 4064, 7783, 22643, 2468, 2293, 22568, 488, 124, 130, 4153, 1324, 488, 129, 1693, 4045, 1238, 1135, 11276, 2107, 2771, 3676, 22568, 488, 124, 123, 4153, 4064, 1539, 2162, 1242, 30503, 1171, 30503, 9378, 1457, 3676, 1959, 2055, 488, 130, 1693, 4045, 1238, 1135, 6001, 1161, 13598, 28862, 19666, 140, 2865, 16157, 6226, 1110, 2913, 6062, 1324, 1306, 1262, 1511, 1175, 129, 121, 132, 22233, 488, 128, 9505, 1615, 1285, 488, 127, 1693, 4045, 1171, 488, 125, 121, 130, 4144, 11585, 1226, 488, 131, 121, 130, 22868, 1496, 2293, 13942, 1226, 1135, 3602, 6062, 1324, 9378, 5020, 22514, 106, 106, 1428, 7327, 488, 125, 123, 125, 124, 119, 2293, 9917, 1135, 10435, 3083, 1132, 1161, 1135, 14300, 11859, 1324, 1135, 9197, 488, 126, 195, 126, 2670, 120, 125, 126, 26964, 106, 106, 145, 30206, 11748, 106, 5395, 1135, 488, 125, 123, 124, 128, 7127, 19047, 119, 2293, 9917, 1110, 23088, 3083, 1132, 1324, 1135, 9197, 1405, 124, 131, 26964, 1459, 488, 125, 123, 124, 129, 119, 1355, 1135, 1405, 124, 131, 7127, 19047, 119, 1135, 9197, 3390, 7947, 1449, 7132, 1575, 3984, 1213, 3736, 9917, 1135, 7127, 19047, 1449, 1280, 2267, 27240, 488, 130, 127, 120, 127, 127, 121, 3676, 5979, 5757, 488, 125, 121, 125, 4153, 1147, 1135, 12621, 1324, 1110, 3783, 1161, 488, 124, 123, 4153, 4064, 1173, 1728, 1549, 4741, 9096, 1151, 8767, 1161, 488, 124, 124, 121, 132, 4826, 1466, 18554, 106, 106, 4848, 1135, 9197, 1405, 124, 132, 25419, 2315, 12914, 1147, 20405, 2320, 1355, 1135, 5055, 19047, 1285, 18079, 1589, 1147, 1135, 13191, 1773, 2314, 1449, 1135, 3569, 6687, 106, 106, 30559, 3512, 1589, 1147, 1135, 7127, 19047, 1324, 1135, 9197, 1405, 125, 123, 3390, 1147, 488, 125, 123, 124, 130, 121, 2315, 12914, 1147, 12223, 13571, 7594, 18846, 1226, 1135, 21683, 3083, 3850, 1459, 488, 125, 123, 124, 131, 119, 2315, 12914, 1147, 31794, 14801, 106, 106, 1428, 488, 125, 123, 124, 131, 119, 2293, 1463, 8849, 1226, 1135, 9197, 1192, 114, 11724, 121, 106, 106, 4848, 1135, 9197, 22615, 488, 126, 195, 126, 25471, 25419, 2293, 9917, 1110, 23088, 3083, 1132, 1355, 1135, 488, 125, 123, 125, 126, 7127, 17797, 1147, 1165, 2451, 1246, 121, 106, 106, 3742, 7986, 1943, 1525, 23043, 3083, 1132, 1355, 1135, 7127, 1405, 124, 131, 19047, 1147, 488, 125, 123, 124, 128, 121, 9106, 3083, 1132, 1355, 1135, 7127, 1405, 124, 131, 19047, 1147, 488, 125, 123, 124, 129, 121, 9106, 3083, 1132, 1355, 1135, 14300, 11859, 488, 126, 195, 126, 1147, 1405, 125, 126, 121, 9106, 3083, 1132, 1355, 1135, 488, 126, 195, 126, 30503, 3891, 5055, 13121, 488, 125, 123, 125, 125, 121, 9106, 3083, 1132, 1355, 1135, 488, 126, 195, 126, 30503, 3891, 7127, 13121, 488, 125, 123, 125, 125, 121, 23043, 3083, 1132, 1355, 1135, 488, 126, 195, 126, 30503, 3891, 5055, 13121, 488, 125, 123, 125, 126, 121, 23043, 3083, 1132, 1355, 1135, 488, 125, 123, 125, 126, 7127, 17797, 106, 106, 26722, 14520, 9197, 15389, 25471, 2489, 1657, 30503, 9378, 1104, 2489, 1657, 1306, 1262, 1511, 17116, 4379, 2082, 2489, 1657, 9378, 5020, 1334, 25471, 2489, 1657, 9197, 4578, 488, 126, 195, 126, 25471, 2489, 1657, 1233, 2589, 1147, 6942, 488, 124, 132, 132, 131, 1147, 18994, 23377, 1355, 26519, 147, 2899, 8230, 5761, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 147, 1249, 1811, 7346, 1118, 197, 2982, 9204, 1238, 6942, 488, 124, 129, 119, 488, 124, 132, 132, 131, 1147, 2801, 31105, 1496, 1239, 1110, 9197, 25471, 2489, 1657, 106, 106, 141, 180, 11114, 106, 30559, 5970, 9096, 25471, 1355, 1135, 7227, 1161, 488, 129, 1147, 1135, 9368, 2296, 16604, 1405, 3861, 1635, 5878, 119, 2491, 12702, 1147, 6188, 2178, 1147, 488, 125, 123, 124, 124, 1226, 5992, 3162, 3545, 1758, 2293, 9917, 1110, 5783, 1161, 9197, 22672, 1405, 124, 131, 119, 2884, 9096, 1324, 1135, 1940, 3390, 1147, 4966, 488, 125, 121, 3676, 2491, 14010, 1135, 6788, 8302, 1161, 30503, 9378, 1104, 2468, 2293, 3062, 1957, 5624, 2339, 1324, 1135, 8801, 25419, 5979, 7025, 488, 124, 121, 131, 4153, 1147, 2067, 1940, 6062, 1296, 1110, 16805, 1171, 2453, 2726, 1171, 2491, 5979, 7025, 488, 124, 121, 128, 128, 4153, 1147, 2067, 5624, 2339, 1147, 1135, 1200, 20699, 1135, 3602, 25972, 106, 106, 1428, 1135, 11717, 1161, 488, 125, 123, 124, 131, 119, 2293, 13942, 1324, 1135, 3281, 4379, 2082, 1306, 1262, 1511, 30503, 5878, 1296, 1135, 2423, 2151, 20773, 1226, 1135, 488, 125, 123, 124, 131, 122, 125, 123, 124, 132, 25972, 106, 106, 1428, 488, 125, 123, 124, 132, 120, 125, 123, 125, 123, 119, 2293, 7905, 2195, 3697, 1171, 9328, 2151, 2166, 16639, 3676, 22568, 488, 132, 4153, 1324, 488, 124, 125, 1693, 4045, 4064, 20502, 1863, 197, 244, 30503, 1355, 1135, 1200, 20699, 488, 125, 123, 124, 132, 4671, 4414, 3676, 2142, 2067, 3783, 1161, 4153, 4064, 7783, 22643, 2468, 2293, 22568, 488, 124, 130, 4153, 1324, 488, 129, 1693, 4045, 1238, 1135, 11276, 2107, 2771, 3676, 22568, 488, 124, 123, 4153, 4064, 1539, 2162, 1242, 30503, 1171, 30503, 9378, 1457, 3676, 1959, 2055, 488, 130, 1693, 4045, 1238, 1135, 6001, 1161, 13598, 28862, 19666, 140, 2865, 16157, 6226, 1110, 2913, 6062, 1324, 1306, 1262, 1511, 1175, 129, 121, 132, 22233, 488, 128, 9505, 1615, 1285, 488, 127, 1693, 4045, 1171, 488, 125, 121, 130, 4144, 11585, 1226, 488, 131, 121, 130, 22868, 1496, 2293, 13942, 1226, 1135, 3602, 6062, 1324, 9378, 5020, 22514, 106, 106, 1428, 7327, 488, 125, 123, 125, 124, 119, 2293, 9917, 1135, 10435, 3083, 1132, 1161, 1135, 14300, 11859, 1324, 1135, 9197, 488, 126, 195, 126, 2670, 120, 125, 126, 26964, 106, 106, 145, 30206, 11748, 106, 5395, 1135, 488, 125, 123, 124, 128, 7127, 19047, 119, 2293, 9917, 1110, 23088, 3083, 1132, 1324, 1135, 9197, 1405, 124, 131, 26964, 1459, 488, 125, 123, 124, 129, 119, 1355, 1135, 1405, 124, 131, 7127, 19047, 119, 1135, 9197, 3390, 7947, 1449, 7132, 1575, 3984, 1213, 3736, 9917, 1135, 7127, 19047, 1449, 1280, 2267, 27240, 488, 130, 127, 120, 127, 127, 121, 3676, 5979, 5757, 488, 125, 121, 125, 4153, 1147, 1135, 12621, 1324, 1110, 3783, 1161, 488, 124, 123, 4153, 4064, 1173, 1728, 1549, 4741, 9096, 1151, 8767, 1161, 488, 124, 124, 121, 132, 4826, 1466, 18554, 106, 106, 4848, 1135, 9197, 1405, 124, 132, 25419, 2315, 12914, 1147, 20405, 2320, 1355, 1135, 5055, 19047, 1285, 18079, 1589, 1147, 1135, 13191, 1773, 2314, 1449, 1135, 3569, 6687, 106, 106, 30559, 3512, 1589, 1147, 1135, 7127, 19047, 1324, 1135, 9197, 1405, 125, 123, 3390, 1147, 488, 125, 123, 124, 130, 121, 2315, 12914, 1147, 12223, 13571, 7594, 18846, 1226, 1135, 21683, 3083, 3850, 1459, 488, 125, 123, 124, 131, 119, 2315, 12914, 1147, 31794, 14801, 106, 106, 1428, 488, 125, 123, 124, 131, 119, 2293, 1463, 8849, 1226, 1135, 9197, 1192, 114, 11724, 121, 106, 106, 4848, 1135, 9197, 22615, 488, 126, 195, 126, 25471, 25419, 2293, 9917, 1110, 23088, 3083, 1132, 1355, 1135, 488, 125, 123, 125, 126, 7127, 17797, 1147, 1165, 2451, 1246, 121, 106, 106, 3742, 7986, 1943, 1525, 23043, 3083, 1132, 1355, 1135, 7127, 1405, 124, 131, 19047, 1147, 488, 125, 123, 124, 128, 121, 9106, 3083, 1132, 1355, 1135, 7127, 1405, 124, 131, 19047, 1147, 488, 125, 123, 124, 129, 121, 9106, 3083, 1132, 1355, 1135, 14300, 11859, 488, 126, 195, 126, 1147, 1405, 125, 126, 121, 9106, 3083, 1132, 1355, 1135, 488, 126, 195, 126, 30503, 3891, 5055, 13121, 488, 125, 123, 125, 125, 121, 9106, 3083, 1132, 1355, 1135, 488, 126, 195, 126, 30503, 3891, 7127, 13121, 488, 125, 123, 125, 125, 121, 23043, 3083, 1132, 1355, 1135, 488, 126, 195, 126, 30503, 3891, 5055, 13121, 488, 125, 123, 125, 126, 121, 23043, 3083, 1132, 1355, 1135, 488, 125, 123, 125, 126, 7127, 17797, 106, 106, 26722, 14520, 9197, 15389, 25471, 2489, 1657, 30503, 9378, 1104, 2489, 1657, 1306, 1262, 1511, 17116, 4379, 2082, 2489, 1657, 9378, 5020, 1334, 25471, 2489, 1657, 9197, 4578, 488, 126, 195, 126, 25471, 2489, 1657, 1233, 2589, 1147, 6942, 488, 124, 132, 132, 131, 1147, 18994, 23377, 1355, 26519, 147, 2899, 8230, 5761, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 4991, 1161, 8742, 1239, 1110, 6459, 9197, 1597, 3417, 8424, 5197, 8452, 1147, 1135, 1293, 1201, 20946, 3041, 106, 106, 24436, 106, 26085, 2615, 3522, 1238, 7357, 488, 124, 128, 119, 488, 125, 123, 123, 124, 119, 1135, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 4991, 1161, 8742, 23799, 1156, 1324, 1135, 1352, 2314, 1167, 20022, 1186, 15701, 1124, 1183, 4991, 1161, 8742, 1147, 488, 125, 123, 124, 126, 1163, 1830, 1135, 15701, 1124, 1183, 1922, 3740, 1186, 1293, 4910, 16528, 4991, 1161, 2028, 1457, 106, 106, 2700, 4218, 106, 1428, 488, 125, 123, 124, 125, 119, 1341, 1463, 26482, 1161, 1135, 3602, 17023, 2695, 133, 106, 140, 1250, 4379, 2331, 1128, 106, 141, 4691, 1839, 29159, 106, 141, 30568, 1141, 106, 141, 1130, 10826, 106, 142, 1141, 4114, 106, 143, 3205, 1249, 106, 26085, 1916, 1104, 106, 147, 1193, 1130, 106, 151, 1193, 1670, 1119, 3046, 1992, 1212, 106, 152, 1132, 1219, 1128, 106, 4602, 1141, 3551, 1573, 1119, 1212, 106, 152, 1258, 1511, 106, 152, 1258, 3840, 3046, 2677, 1573, 106, 152, 1258, 1603, 1178, 26258, 3740, 106, 158, 2240, 1292, 1119, 106, 158, 9206, 4379, 1136, 1419, 3926, 1992, 1541, 106, 158, 9206, 4853, 1451, 106, 158, 1124, 3074, 11149, 1119, 106, 161, 1415, 1437, 191, 1132, 8021, 26258, 3740, 106, 106, 158, 182, 6693, 106, 1598, 11753, 1161, 1135, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 4991, 1161, 8742, 1393, 8782, 1147, 2019, 4546, 4038, 1758, 2025, 21743, 1449, 14758, 1161, 1135, 17023, 3240, 174, 2312, 1161, 1135, 6644, 17023, 10585, 8755, 6693, 1302, 17023, 2695, 1189, 7180, 9482, 15993, 1163, 10514, 1163, 1135, 4991, 5180, 14721, 18897, 2027, 1161, 1135, 4991, 1171, 1393, 1579, 8540, 5285, 9486, 1449, 17023, 10585, 1410, 4991, 1161, 8742, 6056, 16929, 1938, 2017, 11753, 2095, 3108, 6166, 1226, 1147, 2019, 8774, 1457, 11484, 488, 125, 123, 123, 125, 119, 1135, 4991, 1602, 6332, 2019, 3573, 1161, 3872, 16997, 24967, 1449, 1135, 1583, 1161, 1135, 17023, 10585, 106, 106, 1598, 2977, 8774, 1696, 3360, 2159, 24002, 1446, 7262, 488, 125, 123, 123, 129, 119, 1135, 12795, 1161, 2772, 4519, 5285, 2410, 1147, 2320, 1161, 1135, 17023, 9489, 1135, 3602, 13379, 3009, 106, 106, 9592, 31171, 11534, 133, 8239, 9702, 2678, 1171, 5733, 2131, 1213, 1238, 2019, 4039, 26441, 1171, 1147, 4803, 13544, 1736, 3331, 1419, 1171, 10783, 6314, 121, 12279, 1161, 1892, 22748, 5733, 9355, 1226, 8947, 19199, 1147, 1135, 4991, 1361, 5457, 1161, 4522, 134, 10282, 27246, 1171, 5733, 1161, 2019, 7248, 1297, 106, 106, 144, 3300, 1146, 5733, 133, 7801, 2071, 28902, 1171, 5733, 1161, 1135, 8085, 1437, 191, 1132, 3434, 6233, 133, 1192, 7683, 1147, 4275, 1161, 20529, 21322, 8822, 6159, 6333, 1346, 13614, 1696, 13705, 1163, 2050, 27820, 8822, 8861, 1226, 1135, 5733, 1161, 25912, 23058, 1285, 1171, 2882, 134, 8801, 18362, 116, 1192, 1176, 1226, 3434, 3887, 17134, 21322, 7560, 1298, 1870, 2393, 6774, 1576, 106, 106, 159, 1157, 3590, 133, 6745, 3590, 3033, 1171, 2191, 5533, 1306, 2461, 1149, 1441, 2312, 133, 1446, 10533, 1163, 12935, 1171, 9853, 121, 106, 106, 158, 2919, 3009, 1266, 1392, 1884, 1171, 9832, 3875, 3009, 10282, 27246, 1171, 3025, 2392, 5761, 1526, 17147, 1297, 106, 106, 25982, 1171, 6159, 1161, 3901, 133, 8571, 20328, 18797, 5721, 5883, 133, 10608, 27176, 7108, 1161, 4447, 1161, 1971, 8402, 12266, 1171, 9173, 1161, 19177, 1171, 6670, 16882, 1175, 2983, 1130, 1419, 27326, 1589, 1163, 1135, 1173, 12069, 18015, 14657, 1162, 1171, 3033, 1147, 1135, 19073, 10783, 121, 106, 106, 9017, 8733, 1171, 15681, 133, 29704, 1171, 7108, 1161, 1170, 1120, 1278, 1171, 21784, 10669, 1226, 6176, 13628, 3545, 1171, 2470, 3875, 8422, 1297, 12279, 1161, 1938, 3872, 1147, 4275, 1161, 5756, 25425, 21322, 2424, 1171, 8822, 10635, 2121, 3230, 184, 11399, 1826, 6234, 3230, 1673, 5424, 30599, 2630, 1659, 5035, 2683, 1516, 1462, 1576, 106, 106, 144, 1412, 1107, 1269, 11068, 22617, 18432, 133, 1175, 2983, 1130, 1419, 22105, 13201, 1163, 1135, 26753, 2235, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 133, 5806, 3417, 8424, 7978, 1226, 9597, 11906, 1306, 161, 146, 1576, 4553, 1404, 3315, 1161, 2882, 4143, 1147, 1135, 29837, 10567, 1161, 3489, 2661, 2882, 4289, 140, 3269, 116, 1171, 20871, 1149, 3660, 2882, 4289, 3306, 3269, 116, 1226, 1135, 30131, 1269, 1171, 9074, 4364, 7801, 1162, 1171, 7108, 1161, 30599, 16219, 1457, 32001, 488, 106, 32000, 20036, 106, 3562, 9287, 1125, 8742, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1299, 1318, 16402, 9287, 1125, 8742, 19832, 10019, 1313, 1170, 5927, 1227, 1293, 2996, 106, 106, 147, 15376, 488, 106, 142, 1568, 1303, 1170, 488, 124, 128, 2822, 488, 125, 123, 123, 124, 119, 1158, 9287, 1125, 8742, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1110, 14853, 6968, 1469, 1158, 9287, 1125, 8742, 1352, 2314, 1167, 20022, 1186, 15701, 1124, 1183, 1256, 6459, 1186, 488, 125, 123, 124, 126, 1158, 9287, 1125, 8742, 15701, 1124, 1183, 1922, 3740, 1186, 1293, 4910, 16528, 121, 106, 106, 2700, 4218, 488, 106, 1686, 488, 125, 123, 124, 125, 119, 2399, 3031, 17350, 1197, 8742, 9643, 1257, 106, 17448, 4379, 2331, 1128, 106, 4173, 174, 1839, 29159, 106, 25691, 174, 1141, 106, 12800, 10826, 106, 8200, 4114, 106, 1222, 3205, 1249, 106, 7572, 1916, 1104, 106, 1306, 1193, 1130, 106, 19785, 1670, 1119, 3046, 1992, 1212, 106, 4732, 1219, 1128, 106, 3318, 1141, 3551, 1573, 1119, 1212, 106, 4304, 1511, 106, 4304, 3840, 3046, 2677, 1573, 106, 4304, 1603, 1178, 26258, 3740, 106, 1173, 2240, 1292, 1119, 106, 13894, 4379, 1136, 1419, 3926, 1992, 1541, 106, 13894, 4853, 1451, 106, 10217, 3074, 11149, 1119, 106, 8085, 1437, 191, 1132, 8021, 26258, 3740, 106, 106, 8039, 1630, 2027, 488, 106, 4455, 9418, 1125, 1158, 25170, 1125, 2772, 4519, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1508, 16043, 1313, 1909, 29851, 1357, 2004, 1913, 6514, 16969, 1215, 30929, 1197, 7336, 7389, 1541, 1197, 8742, 4634, 121, 1808, 9418, 1309, 1207, 8742, 1805, 2154, 1189, 1119, 1587, 1160, 1125, 30997, 1188, 1158, 25170, 23706, 1197, 9418, 5458, 4111, 1125, 11638, 1167, 1288, 1508, 1408, 5285, 1473, 1215, 1207, 2028, 1457, 1643, 25170, 1125, 8742, 1288, 1915, 16348, 5969, 3419, 15961, 1309, 6650, 10795, 1313, 1909, 8774, 1297, 11027, 488, 125, 123, 123, 125, 119, 1158, 25170, 1110, 6590, 1594, 4322, 22563, 1999, 1630, 1987, 1375, 6768, 1215, 1158, 12698, 1197, 2028, 1457, 106, 488, 106, 3562, 6128, 22029, 8774, 1369, 4012, 1199, 1125, 2584, 488, 125, 123, 123, 129, 119, 1158, 25170, 1125, 2772, 4519, 27999, 1186, 3601, 1167, 2320, 1197, 2028, 1346, 1207, 9418, 9643, 1257, 106, 106, 13772, 9495, 1125, 21309, 133, 106, 159, 1261, 1114, 27805, 8328, 1167, 27059, 9305, 9495, 1300, 1594, 7019, 119, 1167, 3747, 9233, 2035, 1141, 1125, 19216, 1419, 23427, 1167, 1125, 6485, 121, 5294, 4521, 1125, 9355, 9305, 9495, 1892, 1107, 1389, 1188, 21721, 7568, 1300, 1158, 6233, 1283, 20434, 11450, 27931, 2040, 8637, 3718, 1167, 1675, 9495, 1125, 1561, 1152, 1593, 2348, 121, 106, 106, 143, 244, 13521, 7568, 1257, 106, 142, 1568, 2071, 4351, 1167, 4764, 1125, 1158, 6233, 1283, 20434, 1125, 8085, 1437, 191, 1132, 1257, 106, 6082, 190, 1186, 13325, 1125, 19538, 1175, 1924, 121, 1257, 22177, 3361, 5049, 1125, 19959, 13705, 5809, 1571, 2180, 17292, 9590, 3361, 5049, 1125, 4764, 1227, 25912, 1125, 10145, 14417, 1128, 1167, 1197, 2882, 2040, 1781, 11159, 6049, 116, 488, 106, 140, 3016, 1188, 20299, 14052, 10524, 10697, 1175, 1924, 121, 1257, 3743, 14152, 28291, 116, 106, 106, 159, 1157, 2923, 1257, 106, 22259, 1167, 2191, 4521, 28133, 121, 106, 142, 16984, 1554, 1125, 24507, 1257, 1125, 1158, 10533, 1188, 1271, 18369, 1167, 1158, 9853, 121, 106, 106, 224, 3623, 1104, 1257, 106, 224, 3623, 1104, 14603, 1717, 1167, 11540, 1690, 1257, 8637, 3718, 1167, 6490, 121, 106, 142, 1199, 2252, 8099, 7324, 106, 106, 11578, 5051, 1167, 4154, 1125, 2492, 1257, 106, 5110, 29928, 2081, 12539, 1257, 1173, 27805, 8328, 119, 4351, 1197, 29517, 1197, 10496, 1297, 106, 3272, 1927, 1148, 1167, 4859, 1197, 14140, 12975, 9715, 1167, 20145, 1234, 1175, 2983, 1630, 1419, 7740, 17238, 1317, 1173, 12069, 18015, 106, 23429, 1167, 11153, 1313, 1170, 6468, 1125, 3712, 20414, 106, 106, 1686, 177, 1336, 1167, 12614, 1257, 106, 27002, 1167, 4351, 1283, 20434, 1125, 28392, 1167, 1283, 7180, 2071, 1188, 9781, 1125, 1158, 12614, 119, 1186, 4927, 3731, 1167, 8840, 1141, 3623, 7441, 488, 106, 143, 244, 13521, 1125, 2797, 3872, 1186, 13325, 1125, 1158, 5715, 30650, 1175, 1924, 121, 1257, 2424, 1167, 21443, 1188, 7088, 12539, 119, 28291, 7667, 2009, 14603, 7615, 3601, 23560, 8751, 1673, 1215, 3310, 29318, 1283, 23428, 116, 106, 106, 31943, 6492, 29321, 8228, 11810, 1473, 1257, 106, 115, 2983, 1630, 1419, 1776, 7329, 1317, 26753, 2235, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1257, 6508, 5806, 3417, 8424, 1283, 6082, 4911, 1366, 1306, 161, 146, 1576, 106, 12899, 1404, 3315, 1197, 2882, 14147, 1300, 1170, 7019, 106, 146, 2263, 1197, 2882, 25507, 1188, 10081, 4289, 140, 3269, 116, 1167, 1125, 9309, 20755, 2007, 4289, 3306, 3269, 116, 5693, 1197, 3403, 29321, 1167, 3257, 2388, 1457, 106, 8044, 4521, 1167, 4351, 1125, 11749, 23560, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 6198, 13603, 3608, 1227, 1293, 1201, 106, 106, 28870, 5825, 488, 106, 2606, 1865, 9229, 1125, 1158, 9287, 1125, 8742, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 106, 106, 20634, 1167, 5474, 106, 106, 158, 3249, 488, 106, 2606, 1173, 6257, 7761, 4289, 1286, 1300, 1158, 11673, 3111, 1167, 1207, 7346, 3077, 2571, 3029, 1154, 5049, 1125, 1158, 2315, 116, 106, 3562, 2989, 1192, 6948, 2560, 106, 106, 147, 24091, 1152, 1390, 1473, 1125, 1293, 4910, 16528, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 3562, 9287, 1125, 8742, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1299, 1318, 16402, 9287, 1125, 8742, 19832, 10019, 1313, 1170, 5927, 1227, 1293, 2996, 106, 106, 147, 15376, 488, 106, 142, 1568, 1303, 1170, 488, 124, 128, 2822, 488, 125, 123, 123, 124, 119, 1158, 9287, 1125, 8742, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1110, 14853, 6968, 1469, 1158, 9287, 1125, 8742, 1352, 2314, 1167, 20022, 1186, 15701, 1124, 1183, 1256, 6459, 1186, 488, 125, 123, 124, 126, 1158, 9287, 1125, 8742, 15701, 1124, 1183, 1922, 3740, 1186, 1293, 4910, 16528, 121, 106, 106, 2700, 4218, 488, 106, 1686, 488, 125, 123, 124, 125, 119, 2399, 3031, 17350, 1197, 8742, 9643, 1257, 106, 17448, 4379, 2331, 1128, 106, 4173, 174, 1839, 29159, 106, 25691, 174, 1141, 106, 12800, 10826, 106, 8200, 4114, 106, 1222, 3205, 1249, 106, 7572, 1916, 1104, 106, 1306, 1193, 1130, 106, 19785, 1670, 1119, 3046, 1992, 1212, 106, 4732, 1219, 1128, 106, 3318, 1141, 3551, 1573, 1119, 1212, 106, 4304, 1511, 106, 4304, 3840, 3046, 2677, 1573, 106, 4304, 1603, 1178, 26258, 3740, 106, 1173, 2240, 1292, 1119, 106, 13894, 4379, 1136, 1419, 3926, 1992, 1541, 106, 13894, 4853, 1451, 106, 10217, 3074, 11149, 1119, 106, 8085, 1437, 191, 1132, 8021, 26258, 3740, 106, 106, 8039, 1630, 2027, 488, 106, 4455, 9418, 1125, 1158, 25170, 1125, 2772, 4519, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1508, 16043, 1313, 1909, 29851, 1357, 2004, 1913, 6514, 16969, 1215, 30929, 1197, 7336, 7389, 1541, 1197, 8742, 4634, 121, 1808, 9418, 1309, 1207, 8742, 1805, 2154, 1189, 1119, 1587, 1160, 1125, 30997, 1188, 1158, 25170, 23706, 1197, 9418, 5458, 4111, 1125, 11638, 1167, 1288, 1508, 1408, 5285, 1473, 1215, 1207, 2028, 1457, 1643, 25170, 1125, 8742, 1288, 1915, 16348, 5969, 3419, 15961, 1309, 6650, 10795, 1313, 1909, 8774, 1297, 11027, 488, 125, 123, 123, 125, 119, 1158, 25170, 1110, 6590, 1594, 4322, 22563, 1999, 1630, 1987, 1375, 6768, 1215, 1158, 12698, 1197, 2028, 1457, 106, 488, 106, 3562, 6128, 22029, 8774, 1369, 4012, 1199, 1125, 2584, 488, 125, 123, 123, 129, 119, 1158, 25170, 1125, 2772, 4519, 27999, 1186, 3601, 1167, 2320, 1197, 2028, 1346, 1207, 9418, 9643, 1257, 106, 106, 13772, 9495, 1125, 21309, 133, 106, 159, 1261, 1114, 27805, 8328, 1167, 27059, 9305, 9495, 1300, 1594, 7019, 119, 1167, 3747, 9233, 2035, 1141, 1125, 19216, 1419, 23427, 1167, 1125, 6485, 121, 5294, 4521, 1125, 9355, 9305, 9495, 1892, 1107, 1389, 1188, 21721, 7568, 1300, 1158, 6233, 1283, 20434, 11450, 27931, 2040, 8637, 3718, 1167, 1675, 9495, 1125, 1561, 1152, 1593, 2348, 121, 106, 106, 143, 244, 13521, 7568, 1257, 106, 142, 1568, 2071, 4351, 1167, 4764, 1125, 1158, 6233, 1283, 20434, 1125, 8085, 1437, 191, 1132, 1257, 106, 6082, 190, 1186, 13325, 1125, 19538, 1175, 1924, 121, 1257, 22177, 3361, 5049, 1125, 19959, 13705, 5809, 1571, 2180, 17292, 9590, 3361, 5049, 1125, 4764, 1227, 25912, 1125, 10145, 14417, 1128, 1167, 1197, 2882, 2040, 1781, 11159, 6049, 116, 488, 106, 140, 3016, 1188, 20299, 14052, 10524, 10697, 1175, 1924, 121, 1257, 3743, 14152, 28291, 116, 106, 106, 159, 1157, 2923, 1257, 106, 22259, 1167, 2191, 4521, 28133, 121, 106, 142, 16984, 1554, 1125, 24507, 1257, 1125, 1158, 10533, 1188, 1271, 18369, 1167, 1158, 9853, 121, 106, 106, 224, 3623, 1104, 1257, 106, 224, 3623, 1104, 14603, 1717, 1167, 11540, 1690, 1257, 8637, 3718, 1167, 6490, 121, 106, 142, 1199, 2252, 8099, 7324, 106, 106, 11578, 5051, 1167, 4154, 1125, 2492, 1257, 106, 5110, 29928, 2081, 12539, 1257, 1173, 27805, 8328, 119, 4351, 1197, 29517, 1197, 10496, 1297, 106, 3272, 1927, 1148, 1167, 4859, 1197, 14140, 12975, 9715, 1167, 20145, 1234, 1175, 2983, 1630, 1419, 7740, 17238, 1317, 1173, 12069, 18015, 106, 23429, 1167, 11153, 1313, 1170, 6468, 1125, 3712, 20414, 106, 106, 1686, 177, 1336, 1167, 12614, 1257, 106, 27002, 1167, 4351, 1283, 20434, 1125, 28392, 1167, 1283, 7180, 2071, 1188, 9781, 1125, 1158, 12614, 119, 1186, 4927, 3731, 1167, 8840, 1141, 3623, 7441, 488, 106, 143, 244, 13521, 1125, 2797, 3872, 1186, 13325, 1125, 1158, 5715, 30650, 1175, 1924, 121, 1257, 2424, 1167, 21443, 1188, 7088, 12539, 119, 28291, 7667, 2009, 14603, 7615, 3601, 23560, 8751, 1673, 1215, 3310, 29318, 1283, 23428, 116, 106, 106, 31943, 6492, 29321, 8228, 11810, 1473, 1257, 106, 115, 2983, 1630, 1419, 1776, 7329, 1317, 26753, 2235, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 1257, 6508, 5806, 3417, 8424, 1283, 6082, 4911, 1366, 1306, 161, 146, 1576, 106, 12899, 1404, 3315, 1197, 2882, 14147, 1300, 1170, 7019, 106, 146, 2263, 1197, 2882, 25507, 1188, 10081, 4289, 140, 3269, 116, 1167, 1125, 9309, 20755, 2007, 4289, 3306, 3269, 116, 5693, 1197, 3403, 29321, 1167, 3257, 2388, 1457, 106, 8044, 4521, 1167, 4351, 1125, 11749, 23560, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 6198, 13603, 3608, 1227, 1293, 1201, 106, 106, 28870, 5825, 488, 106, 2606, 1865, 9229, 1125, 1158, 9287, 1125, 8742, 1197, 12349, 1104, 29485, 1473, 1125, 1293, 4910, 16528, 106, 106, 20634, 1167, 5474, 106, 106, 158, 3249, 488, 106, 2606, 1173, 6257, 7761, 4289, 1286, 1300, 1158, 11673, 3111, 1167, 1207, 7346, 3077, 2571, 3029, 1154, 5049, 1125, 1158, 2315, 116, 106, 3562, 2989, 1192, 6948, 2560, 106, 106, 147, 24091, 1152, 1390, 1473, 1125, 1293, 4910, 16528, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 146, 1126, 173, 27157, 25756, 1507, 1671, 1569, 1145, 1109, 6700, 21775, 133, 25097, 9525, 352, 16789, 351, 299, 353, 362, 5307, 359, 374, 488, 350, 19279, 299, 5036, 364, 1496, 9204, 1238, 5696, 488, 125, 127, 119, 488, 124, 132, 126, 127, 1147, 17347, 13597, 3569, 158, 20497, 1171, 12743, 1238, 7262, 488, 125, 128, 119, 488, 125, 123, 124, 127, 1147, 1135, 2994, 26749, 2491, 1147, 8069, 1810, 1463, 1110, 14289, 29617, 23384, 1674, 1182, 5388, 1226, 1765, 8394, 1226, 15144, 1161, 11780, 1147, 1135, 3569, 158, 6171, 106, 106, 141, 180, 11114, 106, 106, 1428, 11966, 14400, 1449, 30306, 23479, 1204, 2765, 1293, 1126, 173, 1671, 1569, 1145, 1109, 1463, 3864, 7736, 1110, 1674, 1182, 1147, 488, 124, 132, 129, 125, 1355, 1135, 7227, 1161, 20809, 9188, 1549, 121, 1459, 488, 124, 132, 129, 128, 119, 1386, 8226, 1151, 3275, 9149, 1163, 1135, 5450, 1164, 2528, 1161, 18846, 17163, 1135, 29617, 23384, 10277, 1163, 3756, 4075, 1446, 29234, 5303, 4447, 121, 106, 106, 1428, 488, 124, 132, 130, 129, 119, 1386, 20883, 1135, 12358, 1161, 20399, 1220, 1226, 1135, 27358, 1161, 1135, 14245, 1161, 5371, 1214, 2094, 1147, 1135, 3569, 158, 20497, 1758, 7947, 1163, 1765, 24893, 1226, 4690, 3441, 1651, 7203, 27146, 2071, 13715, 11286, 190, 1446, 2717, 25831, 190, 3813, 29852, 180, 1173, 1569, 15077, 23640, 1163, 5992, 3162, 1161, 9275, 3577, 121, 2133, 1463, 1125, 3697, 1156, 1147, 15072, 488, 126, 130, 3577, 119, 2468, 2717, 9144, 2154, 1285, 3813, 24187, 180, 1518, 1651, 1366, 19252, 2025, 2448, 3078, 6226, 17896, 1765, 5253, 4377, 1386, 10939, 1151, 7119, 2197, 3162, 1147, 1279, 1399, 1147, 1671, 1569, 15252, 172, 2979, 21507, 1163, 17347, 1246, 121, 2133, 1463, 1169, 21812, 1123, 1589, 1147, 488, 124, 132, 132, 125, 121, 106, 106, 147, 4035, 2055, 3101, 1163, 1135, 1518, 9200, 23010, 1346, 1386, 8226, 24452, 3033, 4771, 1146, 2267, 1135, 14289, 29617, 23384, 10277, 121, 106, 106, 144, 4625, 1163, 1135, 19916, 29234, 1161, 1135, 29234, 1814, 4986, 1135, 28439, 1810, 1147, 488, 124, 132, 132, 123, 119, 1386, 11462, 4945, 488, 124, 132, 132, 132, 119, 1758, 7947, 1163, 1765, 1279, 13603, 1973, 1147, 488, 124, 132, 132, 126, 1449, 1135, 24031, 10741, 1259, 1161, 1135, 14289, 29617, 23384, 10277, 1226, 8723, 1140, 17551, 1230, 1513, 1383, 1156, 2573, 2758, 106, 106, 146, 1126, 173, 1671, 1569, 1145, 1109, 12743, 1147, 17347, 1246, 1238, 7262, 488, 125, 128, 119, 488, 125, 123, 124, 127, 1355, 1135, 7227, 1161, 488, 131, 123, 121, 106, 106, 22081, 1430, 106, 146, 1126, 173, 1671, 1569, 1145, 2982, 1110, 1674, 1182, 12696, 1147, 1135, 4985, 1161, 1135, 29234, 1285, 1578, 3226, 1449, 18207, 2324, 244, 2121, 1324, 9228, 7839, 1126, 22514, 10148, 1348, 1164, 1105, 1175, 124, 132, 131, 127, 1576, 106, 146, 1126, 173, 1321, 1569, 1145, 2982, 19800, 5158, 1785, 1105, 133, 20399, 1220, 2670, 2028, 1267, 8238, 3124, 119, 2269, 1560, 1448, 10679, 28529, 28351, 1132, 1163, 1135, 488, 128, 1276, 8619, 28760, 1161, 1135, 5055, 9404, 1161, 10277, 1457, 13981, 1284, 1147, 1135, 488, 125, 4802, 5055, 119, 1518, 262, 26805, 20042, 488, 124, 132, 130, 131, 121, 106, 146, 1126, 173, 1671, 1569, 1145, 2982, 19800, 5158, 1785, 1105, 133, 1200, 1706, 1201, 1446, 17347, 1246, 133, 22799, 1231, 1171, 4792, 7377, 1147, 1135, 3569, 158, 6171, 1518, 1182, 1105, 25167, 4780, 1518, 1182, 1105, 9440, 1119, 18208, 488, 124, 132, 130, 131, 121, 106, 146, 1126, 173, 1671, 1569, 1145, 1109, 133, 2502, 1135, 3224, 4356, 1161, 1135, 14289, 29617, 23384, 10277, 1171, 1135, 16805, 190, 1161, 14511, 3360, 6210, 1147, 8069, 8118, 11354, 1163, 1135, 8702, 12358, 1226, 1135, 27358, 1161, 1135, 14245, 1161, 5371, 1214, 2094, 1147, 1135, 3569, 158, 6171, 1202, 1679, 19252, 10623, 177, 8335, 1675, 10282, 488, 124, 132, 130, 132, 121, 106, 158, 16791, 180, 1202, 2955, 182, 1532, 19252, 27341, 27728, 1248, 1153, 22429, 1293, 1126, 173, 1671, 1569, 1145, 1109, 133, 8702, 1406, 1171, 5303, 1147, 18846, 1171, 1135, 29234, 8006, 133, 13347, 6995, 1238, 1135, 2709, 2334, 3282, 121, 5206, 2355, 21712, 1233, 1564, 1107, 10228, 30532, 488, 124, 132, 131, 132, 121, 106, 106, 4248, 20308, 9959, 106, 109, 24436, 121, 1410, 7566, 1525, 1161, 14289, 16790, 1259, 17395, 1523, 4839, 2857, 119, 1939, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 106, 106, 125, 123, 1276, 25128, 4532, 29617, 23384, 1674, 7832, 488, 125, 124, 1243, 25128, 4532, 29617, 23384, 1674, 7832, 29234, 9144, 7256, 14289, 14511, 15085, 14289, 7468, 15085, 10144, 1842, 7633, 1163, 4792, 7377, 16611, 1147, 18846, 2769, 2673, 1107, 1161, 11780, 17967, 1449, 4148, 22559, 196, 5940, 13537, 1107, 1161, 1135, 5623, 31381, 1293, 1156, 10355, 1141, 14545, 1233, 2589, 1147, 5696, 488, 124, 132, 126, 127, 1233, 2589, 1147, 17347, 1246, 1233, 2589, 1147, 1135, 25304, 15566, 157, 1222, 2295, 1147, 7262, 488, 125, 123, 124, 127, 1222, 2295, 1147, 17347, 1246, 1222, 2295, 1355, 7227, 488, 131, 123, 14558, 3258, 9531, 2295, 1147, 1135, 1202, 10953, 185, 1953, 182, 1487, 176, 1116, 1320, 1130, 1884, 15632, 1161, 1135, 1940, 5011, 28439, 2036, 32001, 488, 106, 32000, 20036, 106, 146, 1126, 173, 27157, 25756, 5836, 1671, 1569, 1353, 1314, 7216, 15393, 25097, 9525, 352, 16789, 351, 299, 353, 362, 5307, 359, 374, 488, 350, 19279, 299, 5036, 364, 1496, 5252, 1170, 488, 125, 127, 2829, 488, 124, 132, 126, 127, 1188, 17347, 12781, 1186, 1405, 157, 4365, 119, 1167, 4541, 1170, 488, 125, 128, 2584, 488, 125, 123, 124, 127, 1313, 1158, 2076, 19110, 3042, 1186, 8903, 2620, 1299, 1189, 1268, 1640, 16790, 23384, 176, 15393, 9918, 1256, 1999, 1640, 10907, 1585, 1256, 1158, 9110, 1125, 11780, 1186, 1405, 157, 4365, 121, 106, 106, 141, 11741, 106, 106, 146, 1126, 173, 1671, 1569, 1353, 3603, 31973, 244, 1215, 1170, 9159, 23479, 1204, 2765, 1299, 3864, 8001, 1268, 1640, 1186, 488, 124, 132, 129, 125, 119, 1188, 20576, 1125, 11400, 9188, 1595, 8793, 1653, 488, 124, 132, 129, 128, 119, 1527, 21450, 1318, 8710, 15425, 1317, 31510, 1124, 1512, 1125, 14512, 2435, 3126, 1199, 1309, 12052, 11645, 16790, 23384, 176, 28933, 24336, 2202, 1125, 1667, 5136, 1227, 3937, 24696, 17285, 106, 106, 1686, 488, 124, 132, 130, 129, 119, 1527, 15458, 1170, 13490, 1197, 14224, 13173, 1256, 1158, 9293, 1197, 4274, 1197, 14694, 1701, 1186, 1405, 157, 4365, 119, 1440, 1357, 2435, 13741, 5615, 22123, 2357, 10336, 1207, 11286, 1430, 1125, 5087, 10417, 6646, 2487, 29852, 250, 1173, 1569, 15077, 23640, 1188, 7762, 4092, 1125, 3577, 1256, 1711, 5883, 1151, 2011, 1651, 3649, 17285, 1768, 1299, 15672, 192, 1317, 3577, 1125, 15072, 488, 126, 130, 119, 2585, 1508, 2448, 1234, 1125, 5087, 9144, 2154, 1285, 2487, 1173, 2683, 1277, 250, 1518, 1651, 1366, 12160, 6280, 10835, 1113, 3685, 2806, 1527, 4933, 2743, 2069, 2165, 9906, 1186, 1826, 1603, 1162, 1186, 1671, 1569, 1118, 29325, 2567, 1125, 27911, 1188, 17347, 30701, 1768, 1299, 1338, 179, 4053, 1186, 488, 124, 132, 132, 125, 121, 106, 106, 140, 4308, 4795, 8139, 1571, 17522, 1227, 1518, 9200, 119, 1527, 21450, 1197, 3412, 23762, 19888, 1186, 4262, 12052, 11645, 16790, 23384, 176, 15393, 121, 106, 106, 224, 10536, 1186, 488, 124, 132, 132, 123, 1317, 29234, 29590, 1860, 1125, 14141, 24696, 8640, 1158, 10341, 16018, 1527, 1251, 9209, 5178, 1108, 488, 124, 132, 132, 132, 119, 1440, 1357, 2435, 13741, 5615, 1279, 13603, 3649, 1186, 488, 124, 132, 132, 126, 1215, 1170, 29905, 1869, 1451, 1125, 12052, 11645, 16790, 23384, 176, 15393, 1256, 1606, 2627, 1383, 244, 5929, 15478, 10641, 4821, 106, 106, 146, 1126, 173, 1671, 1569, 1353, 1314, 19859, 1188, 17347, 1118, 1170, 488, 125, 128, 2584, 488, 125, 123, 124, 127, 1188, 20576, 1125, 488, 131, 123, 8793, 106, 106, 22081, 1430, 106, 146, 1126, 173, 1671, 1569, 1353, 3603, 1189, 1268, 1640, 4374, 1317, 3293, 1197, 1540, 6221, 26465, 2260, 3226, 14609, 13819, 2324, 244, 2121, 1469, 9228, 7839, 1126, 22514, 10148, 1348, 1164, 1105, 1175, 124, 132, 131, 127, 1576, 106, 146, 1126, 173, 1321, 1569, 1145, 2982, 19800, 5158, 1785, 1105, 1257, 4852, 1108, 1189, 1213, 1498, 2508, 10557, 2011, 2021, 1306, 4166, 190, 31606, 1177, 3299, 2765, 1144, 1214, 1151, 22305, 1249, 1108, 1144, 1187, 28529, 3433, 1488, 1151, 31206, 488, 128, 121, 1352, 1815, 2094, 1174, 2526, 3513, 31206, 488, 230, 182, 1255, 21010, 12929, 1248, 2026, 31206, 17575, 1210, 4414, 1293, 4313, 4653, 1147, 4140, 488, 125, 121, 1325, 1140, 3378, 1518, 262, 26805, 20042, 488, 124, 132, 130, 131, 106, 146, 1126, 173, 1671, 1569, 1145, 2982, 19800, 5158, 1785, 1105, 1257, 1200, 1706, 1201, 1446, 17347, 1246, 133, 22799, 1231, 1171, 4792, 7377, 1147, 1135, 3569, 158, 6171, 1518, 1182, 1105, 25167, 4780, 1518, 1182, 1105, 9440, 1119, 18208, 488, 124, 132, 130, 131, 106, 146, 1126, 173, 1671, 1569, 1145, 1109, 133, 1350, 23338, 3049, 2334, 1137, 1881, 5945, 5966, 7703, 8903, 182, 1593, 1202, 9984, 1180, 20689, 185, 1593, 1198, 2390, 182, 6221, 1739, 1616, 1326, 182, 1716, 19480, 5402, 2504, 23786, 1307, 186, 1873, 197, 1150, 15639, 8221, 180, 6220, 1248, 3716, 15612, 1222, 1387, 17529, 10335, 4720, 1117, 1220, 182, 1137, 192, 1518, 1137, 1123, 1130, 192, 2207, 2215, 1210, 1123, 192, 3432, 193, 2824, 5173, 2955, 1210, 2461, 179, 1152, 1173, 4365, 6171, 1202, 1679, 19252, 10623, 177, 8335, 1675, 10282, 488, 124, 132, 130, 132, 106, 158, 16791, 180, 1202, 2955, 182, 1532, 19252, 27341, 27728, 1248, 1153, 22429, 1293, 1126, 173, 1671, 1569, 1145, 1109, 1257, 8702, 1406, 1171, 5303, 1147, 18846, 1171, 1135, 29234, 8006, 133, 13347, 6995, 1238, 1135, 2709, 2334, 3282, 121, 5206, 2355, 21712, 1233, 1564, 1107, 10228, 30532, 488, 124, 132, 131, 132, 119, 106, 106, 159, 5804, 1515, 106, 207, 14124, 121, 1808, 3543, 1525, 1125, 1282, 3036, 23384, 1214, 15393, 3133, 4839, 2857, 119, 1939, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 4929, 1640, 16790, 23384, 176, 1227, 23841, 6298, 2769, 1640, 16790, 23384, 176, 1227, 12136, 25525, 6298, 1222, 1470, 2154, 24696, 1960, 22799, 2636, 15393, 16346, 1902, 3657, 15393, 16346, 1902, 16509, 1188, 1158, 9293, 1197, 4274, 1125, 17571, 1186, 14512, 2769, 1120, 31628, 1304, 28126, 18668, 1215, 4148, 22559, 196, 5940, 30112, 1136, 1125, 14439, 1227, 2511, 120, 1619, 1293, 1156, 10355, 1141, 1266, 3400, 1186, 2829, 488, 124, 132, 126, 127, 1266, 3400, 1188, 17347, 1118, 1266, 3400, 1186, 25304, 15566, 1125, 14512, 6064, 1467, 1186, 2584, 488, 125, 123, 124, 127, 6064, 1467, 1188, 17347, 1118, 6064, 1467, 1188, 488, 131, 123, 2165, 16346, 1902, 14786, 1255, 1303, 1317, 30228, 1202, 10953, 185, 1953, 12210, 250, 176, 31128, 1125, 1158, 3453, 10341, 1724, 23982, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 146, 1126, 173, 27157, 25756, 5836, 1671, 1569, 1353, 1314, 7216, 15393, 25097, 9525, 352, 16789, 351, 299, 353, 362, 5307, 359, 374, 488, 350, 19279, 299, 5036, 364, 1496, 5252, 1170, 488, 125, 127, 2829, 488, 124, 132, 126, 127, 1188, 17347, 12781, 1186, 1405, 157, 4365, 119, 1167, 4541, 1170, 488, 125, 128, 2584, 488, 125, 123, 124, 127, 1313, 1158, 2076, 19110, 3042, 1186, 8903, 2620, 1299, 1189, 1268, 1640, 16790, 23384, 176, 15393, 9918, 1256, 1999, 1640, 10907, 1585, 1256, 1158, 9110, 1125, 11780, 1186, 1405, 157, 4365, 121, 106, 106, 141, 11741, 106, 106, 146, 1126, 173, 1671, 1569, 1353, 3603, 31973, 244, 1215, 1170, 9159, 23479, 1204, 2765, 1299, 3864, 8001, 1268, 1640, 1186, 488, 124, 132, 129, 125, 119, 1188, 20576, 1125, 11400, 9188, 1595, 8793, 1653, 488, 124, 132, 129, 128, 119, 1527, 21450, 1318, 8710, 15425, 1317, 31510, 1124, 1512, 1125, 14512, 2435, 3126, 1199, 1309, 12052, 11645, 16790, 23384, 176, 28933, 24336, 2202, 1125, 1667, 5136, 1227, 3937, 24696, 17285, 106, 106, 1686, 488, 124, 132, 130, 129, 119, 1527, 15458, 1170, 13490, 1197, 14224, 13173, 1256, 1158, 9293, 1197, 4274, 1197, 14694, 1701, 1186, 1405, 157, 4365, 119, 1440, 1357, 2435, 13741, 5615, 22123, 2357, 10336, 1207, 11286, 1430, 1125, 5087, 10417, 6646, 2487, 29852, 250, 1173, 1569, 15077, 23640, 1188, 7762, 4092, 1125, 3577, 1256, 1711, 5883, 1151, 2011, 1651, 3649, 17285, 1768, 1299, 15672, 192, 1317, 3577, 1125, 15072, 488, 126, 130, 119, 2585, 1508, 2448, 1234, 1125, 5087, 9144, 2154, 1285, 2487, 1173, 2683, 1277, 250, 1518, 1651, 1366, 12160, 6280, 10835, 1113, 3685, 2806, 1527, 4933, 2743, 2069, 2165, 9906, 1186, 1826, 1603, 1162, 1186, 1671, 1569, 1118, 29325, 2567, 1125, 27911, 1188, 17347, 30701, 1768, 1299, 1338, 179, 4053, 1186, 488, 124, 132, 132, 125, 121, 106, 106, 140, 4308, 4795, 8139, 1571, 17522, 1227, 1518, 9200, 119, 1527, 21450, 1197, 3412, 23762, 19888, 1186, 4262, 12052, 11645, 16790, 23384, 176, 15393, 121, 106, 106, 224, 10536, 1186, 488, 124, 132, 132, 123, 1317, 29234, 29590, 1860, 1125, 14141, 24696, 8640, 1158, 10341, 16018, 1527, 1251, 9209, 5178, 1108, 488, 124, 132, 132, 132, 119, 1440, 1357, 2435, 13741, 5615, 1279, 13603, 3649, 1186, 488, 124, 132, 132, 126, 1215, 1170, 29905, 1869, 1451, 1125, 12052, 11645, 16790, 23384, 176, 15393, 1256, 1606, 2627, 1383, 244, 5929, 15478, 10641, 4821, 106, 106, 146, 1126, 173, 1671, 1569, 1353, 1314, 19859, 1188, 17347, 1118, 1170, 488, 125, 128, 2584, 488, 125, 123, 124, 127, 1188, 20576, 1125, 488, 131, 123, 8793, 106, 106, 22081, 1430, 106, 146, 1126, 173, 1671, 1569, 1353, 3603, 1189, 1268, 1640, 4374, 1317, 3293, 1197, 1540, 6221, 26465, 2260, 3226, 14609, 13819, 2324, 244, 2121, 1469, 9228, 7839, 1126, 22514, 10148, 1348, 1164, 1105, 1175, 124, 132, 131, 127, 1576, 106, 146, 1126, 173, 1321, 1569, 1145, 2982, 19800, 5158, 1785, 1105, 1257, 4852, 1108, 1189, 1213, 1498, 2508, 10557, 2011, 2021, 1306, 4166, 190, 31606, 1177, 3299, 2765, 1144, 1214, 1151, 22305, 1249, 1108, 1144, 1187, 28529, 3433, 1488, 1151, 31206, 488, 128, 121, 1352, 1815, 2094, 1174, 2526, 3513, 31206, 488, 230, 182, 1255, 21010, 12929, 1248, 2026, 31206, 17575, 1210, 4414, 1293, 4313, 4653, 1147, 4140, 488, 125, 121, 1325, 1140, 3378, 1518, 262, 26805, 20042, 488, 124, 132, 130, 131, 106, 146, 1126, 173, 1671, 1569, 1145, 2982, 19800, 5158, 1785, 1105, 1257, 1200, 1706, 1201, 1446, 17347, 1246, 133, 22799, 1231, 1171, 4792, 7377, 1147, 1135, 3569, 158, 6171, 1518, 1182, 1105, 25167, 4780, 1518, 1182, 1105, 9440, 1119, 18208, 488, 124, 132, 130, 131, 106, 146, 1126, 173, 1671, 1569, 1145, 1109, 133, 1350, 23338, 3049, 2334, 1137, 1881, 5945, 5966, 7703, 8903, 182, 1593, 1202, 9984, 1180, 20689, 185, 1593, 1198, 2390, 182, 6221, 1739, 1616, 1326, 182, 1716, 19480, 5402, 2504, 23786, 1307, 186, 1873, 197, 1150, 15639, 8221, 180, 6220, 1248, 3716, 15612, 1222, 1387, 17529, 10335, 4720, 1117, 1220, 182, 1137, 192, 1518, 1137, 1123, 1130, 192, 2207, 2215, 1210, 1123, 192, 3432, 193, 2824, 5173, 2955, 1210, 2461, 179, 1152, 1173, 4365, 6171, 1202, 1679, 19252, 10623, 177, 8335, 1675, 10282, 488, 124, 132, 130, 132, 106, 158, 16791, 180, 1202, 2955, 182, 1532, 19252, 27341, 27728, 1248, 1153, 22429, 1293, 1126, 173, 1671, 1569, 1145, 1109, 1257, 8702, 1406, 1171, 5303, 1147, 18846, 1171, 1135, 29234, 8006, 133, 13347, 6995, 1238, 1135, 2709, 2334, 3282, 121, 5206, 2355, 21712, 1233, 1564, 1107, 10228, 30532, 488, 124, 132, 131, 132, 119, 106, 106, 159, 5804, 1515, 106, 207, 14124, 121, 1808, 3543, 1525, 1125, 1282, 3036, 23384, 1214, 15393, 3133, 4839, 2857, 119, 1939, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 106, 106, 4929, 1640, 16790, 23384, 176, 1227, 23841, 6298, 2769, 1640, 16790, 23384, 176, 1227, 12136, 25525, 6298, 1222, 1470, 2154, 24696, 1960, 22799, 2636, 15393, 16346, 1902, 3657, 15393, 16346, 1902, 16509, 1188, 1158, 9293, 1197, 4274, 1125, 17571, 1186, 14512, 2769, 1120, 31628, 1304, 28126, 18668, 1215, 4148, 22559, 196, 5940, 30112, 1136, 1125, 14439, 1227, 2511, 120, 1619, 1293, 1156, 10355, 1141, 1266, 3400, 1186, 2829, 488, 124, 132, 126, 127, 1266, 3400, 1188, 17347, 1118, 1266, 3400, 1186, 25304, 15566, 1125, 14512, 6064, 1467, 1186, 2584, 488, 125, 123, 124, 127, 6064, 1467, 1188, 17347, 1118, 6064, 1467, 1188, 488, 131, 123, 2165, 16346, 1902, 14786, 1255, 1303, 1317, 30228, 1202, 10953, 185, 1953, 12210, 250, 176, 31128, 1125, 1158, 3453, 10341, 1724, 23982, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 4455, 8411, 1310, 4726, 1198, 124, 131, 26985, 488, 131, 127, 123, 124, 1188, 488, 131, 127, 125, 130, 1508, 1197, 2032, 13642, 5049, 1188, 25984, 13826, 1104, 1188, 1753, 1706, 1109, 1215, 1158, 1131, 11016, 1352, 1203, 23568, 1325, 1107, 1347, 1125, 488, 124, 132, 124, 128, 1188, 488, 124, 132, 124, 131, 1256, 1170, 2803, 1197, 25531, 1125, 4014, 29304, 1541, 16003, 26557, 4101, 1121, 8426, 1175, 3238, 1576, 9908, 6096, 10043, 1485, 1571, 2032, 13642, 5049, 1125, 1158, 4726, 1198, 124, 131, 1197, 19922, 1554, 1125, 4014, 9091, 1541, 1125, 2769, 6866, 14165, 5248, 28566, 3851, 1813, 1186, 488, 124, 132, 124, 128, 7393, 10873, 4726, 488, 130, 131, 1125, 1158, 22301, 146, 1576, 106, 106, 9688, 106, 106, 142, 1104, 2032, 13642, 5049, 3440, 3332, 2534, 2457, 2335, 10253, 1188, 2069, 27706, 1312, 1188, 4077, 19158, 1167, 1158, 6847, 3031, 1227, 2262, 1606, 1325, 2314, 13889, 8377, 4821, 1548, 26844, 3031, 1189, 26844, 1125, 2262, 1606, 1165, 3394, 26587, 4821, 2576, 7197, 1562, 3207, 3031, 14958, 1125, 2262, 1606, 24625, 2082, 4821, 1808, 2069, 1138, 1307, 1429, 6096, 10043, 1485, 1167, 9442, 1189, 19444, 4123, 8464, 1125, 1563, 1362, 1323, 488, 124, 128, 1127, 5784, 1808, 7080, 1104, 1188, 13933, 6096, 7556, 3088, 1186, 488, 126, 11326, 1257, 488, 125, 4123, 16737, 1167, 488, 124, 1835, 1207, 8540, 1376, 134, 1125, 1158, 15398, 1188, 8008, 7328, 1282, 5943, 1125, 1158, 15398, 1188, 20269, 3798, 1643, 2024, 1148, 1188, 21285, 3031, 10019, 1300, 10905, 4096, 121, 106, 106, 26630, 1167, 2882, 106, 106, 140, 2136, 1158, 1432, 5345, 1125, 27542, 26557, 4101, 1121, 8426, 1188, 1158, 6556, 488, 125, 129, 1198, 124, 131, 15935, 12469, 1186, 23565, 1215, 1282, 25542, 1197, 25531, 1125, 4014, 16003, 26557, 1167, 1125, 15814, 8426, 1175, 2115, 1576, 1643, 488, 131, 127, 124, 132, 119, 2377, 1303, 1186, 14345, 11438, 9954, 1442, 1123, 1207, 2905, 1198, 124, 131, 1268, 1908, 6542, 2040, 2674, 1255, 3149, 191, 1303, 488, 130, 131, 488, 127, 124, 132, 119, 2399, 2985, 4879, 1303, 1186, 17490, 1125, 14097, 12925, 1186, 488, 124, 132, 129, 129, 121, 106, 106, 2606, 1392, 3257, 12375, 12863, 1363, 1162, 15935, 1257, 19855, 119, 1306, 14630, 1108, 7011, 1173, 1819, 1182, 3683, 2908, 4540, 1167, 16422, 9728, 120, 227, 1126, 6488, 31846, 1167, 5138, 1288, 29272, 7085, 4550, 1158, 3734, 19491, 1183, 28355, 106, 106, 144, 10373, 6096, 20402, 1188, 1158, 1878, 1121, 1244, 1197, 21472, 1125, 5962, 10691, 1277, 1167, 1197, 9760, 185, 1456, 1153, 1300, 1207, 12251, 7774, 1346, 18695, 19900, 10439, 31187, 11950, 25064, 1653, 6500, 1186, 1408, 11884, 1318, 4556, 26415, 1167, 1318, 4556, 9110, 1304, 1390, 3988, 5138, 9442, 1318, 2205, 3828, 9347, 1186, 13933, 1256, 1197, 10561, 3440, 1274, 1657, 2932, 15935, 1207, 8091, 488, 125, 126, 125, 1198, 1188, 1823, 10788, 1186, 2424, 1186, 2315, 1167, 1440, 15935, 6650, 1357, 3058, 1129, 1158, 1408, 9186, 9245, 121, 4511, 1158, 5735, 1125, 1158, 13626, 12918, 5138, 15935, 31103, 1203, 1473, 488, 124, 120, 125, 126, 125, 1198, 142, 488, 127, 123, 124, 1188, 488, 127, 125, 130, 2864, 1170, 5632, 488, 127, 124, 132, 1734, 1158, 6391, 3618, 8246, 192, 2567, 121, 1643, 6128, 2032, 13642, 1761, 1125, 1158, 4726, 2985, 4879, 1303, 1186, 488, 124, 132, 129, 129, 121, 106, 106, 20616, 21198, 106, 2769, 1661, 1125, 1158, 26129, 1450, 1257, 12136, 22830, 106, 21946, 8050, 1167, 4235, 1197, 27706, 1312, 1257, 488, 127, 125, 123, 15397, 488, 129, 126, 123, 8680, 106, 21946, 8050, 1197, 30952, 1227, 1138, 1307, 1214, 1257, 488, 132, 123, 123, 8680, 106, 21946, 8050, 1197, 30952, 3755, 21806, 1257, 488, 124, 129, 123, 123, 8680, 106, 21946, 8050, 1197, 30952, 1227, 1138, 1307, 1214, 1257, 488, 132, 123, 123, 8680, 106, 5421, 8639, 1197, 7080, 1104, 1188, 13933, 1257, 2271, 8257, 163, 5672, 1312, 106, 5421, 8639, 1125, 1158, 2024, 1148, 1188, 21285, 1257, 2271, 8257, 163, 20306, 106, 1204, 2139, 1188, 4231, 1257, 2271, 8257, 20306, 106, 1204, 2139, 1186, 16467, 1125, 10096, 1257, 2271, 8257, 20306, 106, 1204, 2139, 19586, 1849, 1257, 2271, 8257, 20306, 106, 8281, 5984, 6696, 1667, 1257, 12136, 121, 163, 1127, 106, 1352, 10774, 2920, 180, 1186, 2424, 1257, 2271, 8257, 7275, 7921, 106, 106, 5602, 1819, 2923, 106, 106, 140, 6577, 18199, 1306, 16282, 1207, 488, 125, 126, 125, 1198, 142, 2004, 1913, 7205, 2144, 1104, 1215, 31336, 1461, 23046, 1204, 15766, 182, 5386, 7216, 488, 125, 1167, 488, 126, 1501, 2312, 116, 1167, 1252, 1126, 23627, 1712, 9373, 106, 106, 140, 6577, 18199, 31843, 1158, 488, 125, 126, 125, 1198, 142, 488, 127, 123, 131, 1110, 1913, 7205, 8976, 1215, 18065, 2066, 1175, 1568, 177, 488, 125, 125, 130, 124, 1576, 106, 106, 140, 6577, 18199, 31843, 1158, 488, 125, 126, 125, 1198, 142, 488, 127, 125, 127, 1110, 1913, 7205, 8976, 1215, 1252, 1126, 23627, 12505, 1175, 1568, 177, 488, 130, 123, 130, 131, 123, 125, 1167, 488, 130, 123, 130, 131, 131, 125, 1576, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 106, 14404, 13642, 5049, 1188, 25984, 17377, 106, 106, 10026, 11052, 18539, 106, 1808, 1198, 124, 131, 1268, 1908, 6542, 106, 106, 151, 1354, 16718, 106, 106, 143, 1214, 1115, 1387, 13642, 1716, 1156, 14227, 27481, 106, 106, 125, 126, 125, 1198, 7156, 488, 131, 127, 123, 124, 1188, 488, 131, 127, 125, 130, 7546, 15180, 31355, 1227, 22929, 16003, 26557, 4101, 1121, 8426, 114, 32001, 488, 106, 32000, 20036, 106, 1598, 8411, 1310, 6446, 1198, 124, 131, 6142, 488, 131, 127, 123, 124, 1163, 488, 131, 127, 125, 130, 1393, 3396, 1174, 2032, 13642, 5049, 7406, 1147, 1753, 1706, 1109, 1449, 1352, 1203, 23568, 1325, 1107, 1347, 1446, 488, 124, 132, 124, 128, 1163, 488, 124, 132, 124, 131, 1226, 1135, 3739, 1403, 1474, 21060, 3642, 1161, 2068, 26557, 4101, 1121, 8426, 1175, 3238, 1576, 3842, 2025, 30092, 1163, 1135, 1198, 124, 131, 6446, 2032, 13642, 5049, 1161, 1135, 11801, 2769, 21775, 21060, 3642, 14165, 5248, 28566, 1302, 14595, 1147, 488, 124, 132, 124, 128, 7393, 10873, 6446, 488, 130, 131, 1161, 1135, 22301, 146, 1576, 106, 106, 9688, 106, 106, 27166, 2032, 13642, 1761, 3440, 23878, 2055, 1110, 2197, 2308, 3340, 11399, 4077, 19158, 7610, 1324, 1110, 11033, 2314, 13889, 1494, 8264, 1713, 1196, 26345, 121, 1410, 2612, 8611, 1463, 1110, 6027, 3394, 26587, 109, 31037, 1410, 1279, 3004, 1502, 1463, 7927, 31037, 1410, 2197, 1138, 1307, 1429, 2025, 30092, 1171, 2055, 1110, 6470, 1132, 1513, 5949, 1161, 1563, 122, 120, 488, 124, 128, 1127, 5784, 1410, 4784, 1111, 7158, 2025, 8917, 1147, 488, 126, 11326, 133, 488, 125, 1238, 1135, 16505, 1171, 488, 124, 2910, 1135, 7179, 1501, 2312, 134, 1446, 1135, 7729, 4462, 1163, 1135, 5775, 1161, 1135, 31556, 4462, 121, 1410, 17511, 1138, 4876, 1107, 1463, 8452, 1355, 1135, 1169, 13649, 106, 106, 15513, 1171, 7681, 106, 106, 18628, 1135, 1559, 1161, 2068, 26557, 4101, 1121, 8426, 1163, 6556, 488, 125, 129, 1198, 124, 131, 2032, 13642, 5049, 2025, 6762, 2060, 1449, 1135, 2068, 26557, 1171, 15814, 8426, 21060, 3642, 17037, 1175, 2115, 1576, 1410, 488, 131, 127, 124, 132, 119, 13073, 1147, 7927, 1762, 14010, 1135, 2017, 2769, 21775, 1198, 124, 131, 2032, 13642, 5049, 134, 2674, 3605, 1156, 488, 130, 131, 488, 127, 124, 132, 119, 1341, 1463, 1694, 1154, 6856, 1147, 5206, 18948, 1147, 488, 124, 132, 129, 129, 121, 106, 106, 1598, 1187, 18986, 2302, 2707, 2025, 133, 19855, 119, 1306, 14630, 1108, 7011, 1173, 1819, 1182, 3683, 2908, 4540, 119, 1171, 16422, 9728, 120, 227, 1126, 6488, 16005, 244, 2114, 1171, 1799, 4352, 3936, 1135, 2068, 26557, 6054, 121, 106, 106, 1598, 196, 2025, 15940, 1163, 11070, 1994, 15707, 1171, 3447, 21472, 1238, 2274, 30522, 19237, 1799, 12742, 2763, 13823, 11315, 2754, 1147, 4125, 1163, 3026, 17300, 1171, 5292, 2913, 28852, 1799, 2055, 1110, 3564, 4784, 12631, 1226, 1111, 3332, 1186, 2525, 1457, 3842, 2025, 1135, 2977, 488, 125, 126, 125, 1198, 2032, 13642, 5049, 1163, 6575, 2424, 1147, 2315, 1171, 2055, 1135, 30959, 3660, 1657, 4967, 1135, 13626, 12918, 1463, 5772, 119, 1799, 2025, 15017, 1296, 488, 124, 120, 125, 126, 125, 1198, 142, 488, 127, 123, 124, 1163, 488, 127, 125, 130, 1677, 1153, 1135, 2149, 488, 127, 124, 132, 1296, 1135, 6391, 2055, 12962, 176, 3208, 29962, 1410, 2977, 2032, 13642, 1761, 1161, 1135, 6446, 1463, 1694, 1154, 6856, 1147, 488, 124, 132, 129, 129, 121, 106, 106, 12807, 8480, 106, 10598, 8611, 12687, 133, 12136, 22830, 106, 142, 3340, 11399, 10555, 3030, 1171, 27918, 133, 488, 127, 125, 123, 15397, 488, 129, 126, 123, 8680, 106, 141, 1307, 1214, 22124, 10555, 3030, 133, 488, 132, 123, 123, 8680, 106, 143, 11691, 22124, 10555, 3030, 133, 488, 124, 129, 123, 123, 8680, 106, 162, 2078, 20737, 12631, 133, 2271, 8257, 163, 5672, 1201, 106, 12899, 1132, 1138, 4876, 1107, 12631, 133, 2271, 8257, 163, 26462, 106, 11711, 7915, 133, 2271, 8257, 26462, 106, 8029, 2267, 7915, 133, 2271, 8257, 26462, 106, 4650, 13422, 1647, 7915, 133, 2271, 8257, 26462, 106, 19161, 4577, 133, 12136, 121, 163, 1127, 106, 10492, 9712, 1147, 2424, 133, 2271, 8257, 7275, 7921, 106, 106, 5070, 1149, 106, 106, 1428, 1306, 154, 1694, 3701, 1135, 488, 125, 126, 125, 1198, 142, 2032, 13642, 5049, 2025, 7205, 7769, 1449, 31336, 1461, 23046, 1204, 15766, 182, 5386, 9512, 488, 125, 1171, 488, 126, 1501, 2312, 1496, 1171, 1252, 1126, 23627, 1712, 9373, 106, 106, 1428, 1266, 1694, 3701, 1135, 488, 125, 126, 125, 1198, 142, 488, 127, 123, 131, 1463, 7205, 7769, 1449, 18065, 2066, 1175, 2462, 488, 125, 125, 130, 124, 1576, 106, 106, 1428, 1266, 1694, 3701, 1135, 488, 125, 126, 125, 1198, 142, 488, 127, 125, 127, 1463, 7205, 7769, 1449, 1252, 1126, 23627, 12505, 1175, 2462, 488, 130, 123, 130, 131, 123, 125, 1171, 488, 130, 123, 130, 131, 131, 125, 1576, 106, 106, 21320, 1959, 106, 106, 145, 30206, 3396, 1174, 2032, 13642, 5049, 106, 106, 145, 26760, 7633, 3760, 106, 1598, 2769, 21775, 1198, 124, 131, 2032, 13642, 5049, 106, 106, 26722, 4672, 106, 106, 143, 1214, 1115, 1387, 13642, 1716, 1156, 14227, 27481, 106, 106, 125, 126, 125, 1198, 7156, 488, 131, 127, 123, 124, 1163, 488, 131, 127, 125, 130, 1248, 15829, 3287, 1161, 1135, 2068, 26557, 4101, 1121, 8426, 10566, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 8411, 1310, 6446, 1198, 124, 131, 6142, 488, 131, 127, 123, 124, 1163, 488, 131, 127, 125, 130, 1393, 3396, 1174, 2032, 13642, 5049, 7406, 1147, 1753, 1706, 1109, 1449, 1352, 1203, 23568, 1325, 1107, 1347, 1446, 488, 124, 132, 124, 128, 1163, 488, 124, 132, 124, 131, 1226, 1135, 3739, 1403, 1474, 21060, 3642, 1161, 2068, 26557, 4101, 1121, 8426, 1175, 3238, 1576, 3842, 2025, 30092, 1163, 1135, 1198, 124, 131, 6446, 2032, 13642, 5049, 1161, 1135, 11801, 2769, 21775, 21060, 3642, 14165, 5248, 28566, 1302, 14595, 1147, 488, 124, 132, 124, 128, 7393, 10873, 6446, 488, 130, 131, 1161, 1135, 22301, 146, 1576, 106, 106, 9688, 106, 106, 27166, 2032, 13642, 1761, 3440, 23878, 2055, 1110, 2197, 2308, 3340, 11399, 4077, 19158, 7610, 1324, 1110, 11033, 2314, 13889, 1494, 8264, 1713, 1196, 26345, 121, 1410, 2612, 8611, 1463, 1110, 6027, 3394, 26587, 109, 31037, 1410, 1279, 3004, 1502, 1463, 7927, 31037, 1410, 2197, 1138, 1307, 1429, 2025, 30092, 1171, 2055, 1110, 6470, 1132, 1513, 5949, 1161, 1563, 122, 120, 488, 124, 128, 1127, 5784, 1410, 4784, 1111, 7158, 2025, 8917, 1147, 488, 126, 11326, 133, 488, 125, 1238, 1135, 16505, 1171, 488, 124, 2910, 1135, 7179, 1501, 2312, 134, 1446, 1135, 7729, 4462, 1163, 1135, 5775, 1161, 1135, 31556, 4462, 121, 1410, 17511, 1138, 4876, 1107, 1463, 8452, 1355, 1135, 1169, 13649, 106, 106, 15513, 1171, 7681, 106, 106, 18628, 1135, 1559, 1161, 2068, 26557, 4101, 1121, 8426, 1163, 6556, 488, 125, 129, 1198, 124, 131, 2032, 13642, 5049, 2025, 6762, 2060, 1449, 1135, 2068, 26557, 1171, 15814, 8426, 21060, 3642, 17037, 1175, 2115, 1576, 1410, 488, 131, 127, 124, 132, 119, 13073, 1147, 7927, 1762, 14010, 1135, 2017, 2769, 21775, 1198, 124, 131, 2032, 13642, 5049, 134, 2674, 3605, 1156, 488, 130, 131, 488, 127, 124, 132, 119, 1341, 1463, 1694, 1154, 6856, 1147, 5206, 18948, 1147, 488, 124, 132, 129, 129, 121, 106, 106, 1598, 1187, 18986, 2302, 2707, 2025, 133, 19855, 119, 1306, 14630, 1108, 7011, 1173, 1819, 1182, 3683, 2908, 4540, 119, 1171, 16422, 9728, 120, 227, 1126, 6488, 16005, 244, 2114, 1171, 1799, 4352, 3936, 1135, 2068, 26557, 6054, 121, 106, 106, 1598, 196, 2025, 15940, 1163, 11070, 1994, 15707, 1171, 3447, 21472, 1238, 2274, 30522, 19237, 1799, 12742, 2763, 13823, 11315, 2754, 1147, 4125, 1163, 3026, 17300, 1171, 5292, 2913, 28852, 1799, 2055, 1110, 3564, 4784, 12631, 1226, 1111, 3332, 1186, 2525, 1457, 3842, 2025, 1135, 2977, 488, 125, 126, 125, 1198, 2032, 13642, 5049, 1163, 6575, 2424, 1147, 2315, 1171, 2055, 1135, 30959, 3660, 1657, 4967, 1135, 13626, 12918, 1463, 5772, 119, 1799, 2025, 15017, 1296, 488, 124, 120, 125, 126, 125, 1198, 142, 488, 127, 123, 124, 1163, 488, 127, 125, 130, 1677, 1153, 1135, 2149, 488, 127, 124, 132, 1296, 1135, 6391, 2055, 12962, 176, 3208, 29962, 1410, 2977, 2032, 13642, 1761, 1161, 1135, 6446, 1463, 1694, 1154, 6856, 1147, 488, 124, 132, 129, 129, 121, 106, 106, 12807, 8480, 106, 10598, 8611, 12687, 133, 12136, 22830, 106, 142, 3340, 11399, 10555, 3030, 1171, 27918, 133, 488, 127, 125, 123, 15397, 488, 129, 126, 123, 8680, 106, 141, 1307, 1214, 22124, 10555, 3030, 133, 488, 132, 123, 123, 8680, 106, 143, 11691, 22124, 10555, 3030, 133, 488, 124, 129, 123, 123, 8680, 106, 162, 2078, 20737, 12631, 133, 2271, 8257, 163, 5672, 1201, 106, 12899, 1132, 1138, 4876, 1107, 12631, 133, 2271, 8257, 163, 26462, 106, 11711, 7915, 133, 2271, 8257, 26462, 106, 8029, 2267, 7915, 133, 2271, 8257, 26462, 106, 4650, 13422, 1647, 7915, 133, 2271, 8257, 26462, 106, 19161, 4577, 133, 12136, 121, 163, 1127, 106, 10492, 9712, 1147, 2424, 133, 2271, 8257, 7275, 7921, 106, 106, 5070, 1149, 106, 106, 1428, 1306, 154, 1694, 3701, 1135, 488, 125, 126, 125, 1198, 142, 2032, 13642, 5049, 2025, 7205, 7769, 1449, 31336, 1461, 23046, 1204, 15766, 182, 5386, 9512, 488, 125, 1171, 488, 126, 1501, 2312, 1496, 1171, 1252, 1126, 23627, 1712, 9373, 106, 106, 1428, 1266, 1694, 3701, 1135, 488, 125, 126, 125, 1198, 142, 488, 127, 123, 131, 1463, 7205, 7769, 1449, 18065, 2066, 1175, 2462, 488, 125, 125, 130, 124, 1576, 106, 106, 1428, 1266, 1694, 3701, 1135, 488, 125, 126, 125, 1198, 142, 488, 127, 125, 127, 1463, 7205, 7769, 1449, 1252, 1126, 23627, 12505, 1175, 2462, 488, 130, 123, 130, 131, 123, 125, 1171, 488, 130, 123, 130, 131, 131, 125, 1576, 106, 106, 21320, 1959, 106, 106, 145, 30206, 3396, 1174, 2032, 13642, 5049, 106, 106, 145, 26760, 7633, 3760, 106, 1598, 2769, 21775, 1198, 124, 131, 2032, 13642, 5049, 106, 106, 26722, 4672, 106, 106, 143, 1214, 1115, 1387, 13642, 1716, 1156, 14227, 27481, 106, 106, 125, 126, 125, 1198, 7156, 488, 131, 127, 123, 124, 1163, 488, 131, 127, 125, 130, 1248, 15829, 3287, 1161, 1135, 2068, 26557, 4101, 1121, 8426, 10566, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 114, 18628, 3558, 114, 1239, 1135, 2423, 13553, 6030, 1449, 1135, 16448, 2957, 1306, 6693, 1510, 4909, 121, 1410, 6030, 1239, 1110, 6817, 1161, 1235, 1636, 7199, 1626, 3432, 1439, 109, 1171, 29302, 18465, 7804, 4095, 19210, 1226, 1135, 6030, 8492, 1147, 7327, 488, 125, 123, 123, 131, 1355, 8201, 1180, 488, 126, 123, 124, 1147, 19595, 20973, 6801, 9236, 1410, 6030, 1463, 10229, 1238, 7262, 488, 124, 125, 119, 488, 125, 123, 124, 123, 119, 1171, 9578, 1147, 7871, 488, 125, 123, 124, 124, 1135, 3602, 11764, 1306, 6693, 1510, 4909, 6312, 1238, 1110, 3543, 1147, 1135, 4909, 6716, 1171, 6372, 1147, 7871, 1171, 5696, 488, 125, 123, 124, 124, 1163, 15492, 1789, 1624, 6030, 121, 106, 106, 24436, 1171, 26507, 12279, 3425, 5653, 1306, 6693, 1510, 4909, 2055, 6314, 1163, 7834, 2197, 23371, 2352, 2128, 1330, 3742, 2898, 1135, 13220, 114, 1324, 1110, 13553, 7834, 1147, 488, 125, 123, 124, 123, 119, 1663, 1135, 3580, 1463, 11051, 1105, 3078, 1988, 1463, 2491, 17525, 1147, 7286, 488, 125, 123, 124, 123, 1302, 1306, 6693, 1510, 4909, 1463, 4645, 1147, 1135, 13553, 1238, 1135, 1940, 1910, 1161, 1789, 8597, 6030, 121, 2502, 6324, 488, 126, 119, 488, 125, 123, 124, 124, 119, 4052, 1161, 1135, 2423, 1910, 1161, 1135, 6030, 1463, 6672, 2754, 2470, 3337, 11004, 1161, 1870, 1147, 5490, 8318, 14113, 1110, 1306, 6693, 1510, 11706, 1243, 1272, 5355, 2704, 1355, 1135, 488, 125, 123, 124, 123, 1306, 6693, 1510, 11385, 4377, 1341, 1463, 11768, 1302, 1135, 6030, 2098, 21027, 1280, 9578, 1147, 7871, 488, 125, 123, 124, 124, 121, 2502, 1135, 1306, 6693, 1510, 26553, 1110, 6277, 11777, 5868, 2320, 2060, 3337, 5150, 1147, 1792, 2095, 5052, 3259, 16437, 1163, 3630, 1135, 6030, 1361, 6277, 4405, 1171, 5814, 2401, 121, 13848, 2184, 13104, 1135, 6030, 2098, 1280, 3969, 1238, 1135, 5488, 1238, 7871, 488, 124, 128, 119, 488, 125, 123, 124, 124, 119, 7209, 1704, 3677, 2979, 1135, 20083, 6030, 7834, 119, 5404, 1163, 1151, 4085, 1238, 1135, 1910, 1161, 1135, 3569, 1739, 159, 4519, 6083, 121, 106, 106, 16053, 4836, 1149, 17617, 22787, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 10170, 1140, 27490, 1703, 488, 130, 1677, 488, 126, 130, 3686, 21185, 1756, 4494, 1293, 7939, 1988, 3454, 1192, 2850, 3197, 4698, 2251, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 126, 1677, 488, 126, 130, 13440, 1151, 1192, 1613, 3383, 6047, 3340, 1119, 10036, 1673, 10170, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1321, 1292, 15027, 2485, 179, 1857, 1703, 488, 127, 1677, 488, 125, 127, 9810, 3771, 1903, 1161, 29751, 18885, 4720, 5191, 1108, 1715, 1673, 1867, 1119, 1405, 1722, 3331, 116, 1325, 17386, 1548, 4744, 133, 6480, 1325, 1532, 1703, 488, 128, 1677, 488, 127, 127, 6226, 3558, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1918, 1433, 5950, 29474, 1703, 488, 128, 1677, 10882, 18146, 1509, 6198, 183, 2394, 168, 1175, 125, 1677, 488, 128, 127, 116, 1233, 3807, 9845, 1292, 15027, 2485, 179, 1857, 1673, 10170, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1321, 1292, 15027, 2485, 179, 1857, 1703, 488, 129, 1677, 488, 124, 129, 30306, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 10170, 1140, 27490, 1703, 488, 129, 1677, 488, 128, 124, 8929, 172, 9845, 186, 1140, 15858, 11205, 12426, 9282, 1784, 1107, 1673, 8980, 13833, 1539, 1120, 13899, 116, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 128, 1677, 488, 127, 128, 13605, 5262, 2460, 1314, 4698, 2251, 9282, 1784, 1107, 1673, 1918, 1433, 5950, 29474, 116, 1325, 17386, 1548, 4744, 133, 11658, 24540, 10341, 2313, 1322, 1703, 488, 126, 1677, 488, 126, 129, 14788, 4736, 22787, 9845, 186, 1140, 27490, 1673, 12426, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 129, 1677, 488, 123, 128, 31695, 1569, 7837, 1175, 1891, 1287, 1108, 23128, 1673, 5644, 9193, 5386, 116, 1325, 17386, 1548, 4744, 133, 1321, 1217, 1293, 1292, 1429, 1703, 488, 130, 1677, 488, 124, 124, 14788, 4736, 22787, 6700, 1217, 2504, 10671, 116, 9845, 186, 1140, 27490, 1673, 12426, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 1321, 1217, 1293, 1292, 1429, 1703, 488, 126, 1677, 488, 128, 128, 106, 106, 2330, 8752, 106, 106, 20634, 1410, 6030, 1361, 5783, 1463, 10229, 1238, 10170, 1140, 27490, 1361, 6536, 5048, 1238, 7262, 488, 124, 125, 119, 488, 125, 123, 124, 123, 121, 1918, 1433, 5950, 1484, 2114, 1110, 6459, 10321, 1161, 1135, 25182, 2346, 1161, 1135, 6030, 14041, 1624, 1189, 2580, 6030, 1583, 1280, 12422, 1553, 1966, 10978, 1540, 4490, 25988, 1238, 1765, 6536, 5048, 1238, 6324, 488, 126, 119, 488, 125, 123, 124, 124, 121, 1410, 3935, 5246, 3010, 4736, 22787, 109, 7905, 1110, 8544, 1238, 16448, 9421, 1147, 488, 125, 123, 124, 124, 121, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 1325, 19180, 3867, 1410, 6226, 3558, 4770, 11076, 1306, 6693, 1510, 4909, 8935, 4770, 11076, 1306, 6693, 1510, 10397, 8935, 1306, 11716, 5448, 146, 6088, 29197, 1266, 2061, 6833, 8804, 1605, 2560, 140, 488, 125, 123, 124, 124, 4267, 7761, 4518, 152, 11762, 464, 1198, 4707, 8702, 4501, 6030, 10397, 6030, 9578, 1147, 488, 125, 123, 124, 124, 114, 32001, 488, 106, 32000, 20036, 106, 18628, 3558, 1299, 1170, 2423, 6030, 13553, 1227, 3274, 6801, 1354, 1306, 6693, 1510, 4909, 121, 2576, 13507, 1299, 1189, 14915, 1125, 15172, 1118, 1678, 31310, 109, 1175, 2272, 7199, 1626, 8702, 116, 1167, 1125, 1235, 17707, 14224, 3718, 4095, 1643, 4052, 1125, 3371, 6030, 28995, 1186, 488, 2875, 488, 125, 123, 123, 131, 3523, 1207, 8201, 1180, 488, 126, 123, 124, 1188, 19595, 20973, 1186, 6801, 4654, 2576, 13507, 1299, 16752, 1170, 488, 124, 125, 2584, 488, 125, 123, 124, 123, 119, 1167, 3594, 2052, 1186, 3141, 488, 125, 123, 124, 124, 9911, 10549, 121, 1306, 6693, 1510, 4909, 6484, 1318, 23931, 1571, 9864, 1167, 1317, 6372, 1186, 3141, 1167, 2829, 488, 125, 123, 124, 124, 1667, 1186, 2969, 1542, 1199, 1964, 10424, 6030, 121, 106, 106, 147, 15376, 1167, 20803, 1125, 26903, 4511, 1282, 5668, 3603, 1306, 6693, 1510, 4909, 3618, 1256, 2929, 1125, 11924, 2069, 23371, 16475, 23554, 3506, 2898, 1135, 13220, 1469, 1318, 8969, 13553, 1186, 488, 125, 123, 124, 123, 119, 1723, 1170, 2929, 1110, 1913, 11051, 1396, 3502, 15518, 1527, 1110, 1913, 5131, 3118, 8688, 2578, 488, 125, 123, 124, 123, 119, 1306, 6693, 1510, 4909, 7606, 1370, 1186, 13553, 1300, 1158, 3453, 3247, 1125, 1964, 4755, 6030, 121, 1548, 488, 126, 2749, 488, 125, 123, 124, 124, 119, 1158, 4052, 1125, 1158, 9640, 3247, 1125, 26903, 2985, 6672, 2806, 2750, 3203, 10031, 1125, 2498, 1186, 5490, 8318, 19321, 1318, 21638, 4284, 1125, 1306, 6693, 1510, 11706, 1243, 3301, 1188, 1158, 16014, 13076, 6693, 1510, 1186, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 1191, 8317, 1309, 26903, 9665, 3144, 1906, 1186, 3141, 488, 125, 123, 124, 124, 121, 4608, 1170, 1865, 2475, 13076, 6693, 28610, 1189, 6277, 11777, 1110, 1913, 3902, 1186, 2320, 3672, 3203, 3617, 1313, 1408, 1125, 8826, 1895, 2844, 1525, 5542, 3143, 1125, 5362, 1158, 4405, 1125, 5764, 1125, 26903, 2442, 1309, 1594, 28640, 121, 4444, 17785, 2576, 13507, 2934, 6317, 1170, 488, 124, 128, 3141, 488, 125, 123, 124, 124, 1300, 1170, 1139, 3174, 17841, 1189, 2879, 2567, 1158, 8969, 12625, 1125, 26903, 119, 1188, 4262, 2519, 15697, 1125, 1158, 1910, 1125, 1282, 180, 159, 4519, 6083, 1197, 17941, 5068, 106, 106, 151, 2038, 1197, 23664, 488, 17617, 22787, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 10170, 1140, 27490, 1703, 488, 130, 1677, 488, 126, 130, 3686, 21185, 1756, 4494, 1293, 7939, 1988, 3454, 1192, 2850, 3197, 4698, 2251, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 126, 1677, 488, 126, 130, 13440, 1151, 1192, 1613, 3383, 6047, 3340, 1119, 10036, 1673, 10170, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1321, 1292, 15027, 2485, 179, 1857, 1703, 488, 127, 1677, 488, 125, 127, 9810, 3771, 1903, 1161, 29751, 18885, 4720, 5191, 1108, 1715, 1673, 1867, 1119, 1405, 1722, 3331, 116, 1325, 17386, 1548, 4744, 133, 6480, 1325, 1532, 1703, 488, 128, 1677, 488, 127, 127, 6226, 3558, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1918, 1433, 5950, 29474, 1703, 488, 128, 1677, 10882, 18146, 1509, 6198, 183, 2394, 168, 1175, 125, 1677, 488, 128, 127, 116, 1233, 3807, 9845, 1292, 15027, 2485, 179, 1857, 1673, 10170, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1321, 1292, 15027, 2485, 179, 1857, 1703, 488, 129, 1677, 488, 124, 129, 30306, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 10170, 1140, 27490, 1703, 488, 129, 1677, 488, 128, 124, 8929, 172, 9845, 186, 1140, 15858, 11205, 12426, 9282, 1784, 1107, 1673, 8980, 13833, 1539, 1120, 13899, 116, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 128, 1677, 488, 127, 128, 13605, 5262, 2460, 1314, 4698, 2251, 9282, 1784, 1107, 1673, 1918, 1433, 5950, 29474, 116, 1325, 17386, 1548, 4744, 133, 11658, 24540, 10341, 2313, 1322, 1703, 488, 126, 1677, 488, 126, 129, 14788, 4736, 22787, 9845, 186, 1140, 27490, 1673, 12426, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 129, 1677, 488, 123, 128, 31695, 1569, 7837, 1175, 1891, 1287, 1108, 23128, 1673, 5644, 9193, 5386, 116, 1325, 17386, 1548, 4744, 133, 1321, 1217, 1293, 1292, 1429, 1703, 488, 130, 1677, 488, 124, 124, 14788, 4736, 22787, 6700, 1217, 2504, 10671, 116, 9845, 186, 1140, 27490, 1673, 12426, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 1321, 1217, 1293, 1292, 1429, 1703, 488, 126, 1677, 488, 128, 128, 106, 106, 2809, 2139, 1525, 106, 106, 20634, 1548, 3694, 1125, 26903, 2985, 16752, 1300, 1170, 1865, 6536, 1125, 10170, 1140, 27490, 1170, 488, 124, 125, 2584, 488, 125, 123, 124, 123, 121, 1918, 1433, 5950, 1484, 2114, 1189, 1197, 13713, 11843, 1227, 24223, 2690, 1125, 26903, 14041, 1624, 1189, 2580, 6030, 1583, 1280, 12422, 1553, 1966, 10978, 1540, 4490, 25988, 1309, 10276, 1915, 1441, 4868, 1215, 1235, 1548, 10424, 6030, 13076, 6693, 1510, 4909, 1299, 30466, 1553, 6045, 27190, 1256, 30059, 1199, 25988, 1300, 1594, 2803, 6536, 119, 1170, 488, 126, 2749, 488, 125, 123, 124, 124, 121, 1548, 3935, 5246, 3010, 4736, 22787, 109, 1299, 12749, 1189, 8544, 1188, 1158, 9421, 6801, 3556, 1186, 488, 125, 123, 124, 124, 121, 106, 106, 10853, 106, 106, 28870, 5825, 1325, 19180, 3867, 1410, 6226, 3558, 4770, 11076, 1306, 6693, 1510, 4909, 8935, 4770, 11076, 1306, 6693, 1510, 10397, 8935, 1306, 11716, 5448, 146, 6088, 29197, 1266, 2061, 6833, 8804, 1605, 2560, 140, 488, 488, 125, 123, 124, 124, 4267, 7761, 4518, 152, 11762, 464, 1198, 4707, 26507, 1125, 7585, 14224, 11150, 26507, 10709, 9665, 1186, 488, 125, 123, 124, 124, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 18628, 3558, 1299, 1170, 2423, 6030, 13553, 1227, 3274, 6801, 1354, 1306, 6693, 1510, 4909, 121, 2576, 13507, 1299, 1189, 14915, 1125, 15172, 1118, 1678, 31310, 109, 1175, 2272, 7199, 1626, 8702, 116, 1167, 1125, 1235, 17707, 14224, 3718, 4095, 1643, 4052, 1125, 3371, 6030, 28995, 1186, 488, 2875, 488, 125, 123, 123, 131, 3523, 1207, 8201, 1180, 488, 126, 123, 124, 1188, 19595, 20973, 1186, 6801, 4654, 2576, 13507, 1299, 16752, 1170, 488, 124, 125, 2584, 488, 125, 123, 124, 123, 119, 1167, 3594, 2052, 1186, 3141, 488, 125, 123, 124, 124, 9911, 10549, 121, 1306, 6693, 1510, 4909, 6484, 1318, 23931, 1571, 9864, 1167, 1317, 6372, 1186, 3141, 1167, 2829, 488, 125, 123, 124, 124, 1667, 1186, 2969, 1542, 1199, 1964, 10424, 6030, 121, 106, 106, 147, 15376, 1167, 20803, 1125, 26903, 4511, 1282, 5668, 3603, 1306, 6693, 1510, 4909, 3618, 1256, 2929, 1125, 11924, 2069, 23371, 16475, 23554, 3506, 2898, 1135, 13220, 1469, 1318, 8969, 13553, 1186, 488, 125, 123, 124, 123, 119, 1723, 1170, 2929, 1110, 1913, 11051, 1396, 3502, 15518, 1527, 1110, 1913, 5131, 3118, 8688, 2578, 488, 125, 123, 124, 123, 119, 1306, 6693, 1510, 4909, 7606, 1370, 1186, 13553, 1300, 1158, 3453, 3247, 1125, 1964, 4755, 6030, 121, 1548, 488, 126, 2749, 488, 125, 123, 124, 124, 119, 1158, 4052, 1125, 1158, 9640, 3247, 1125, 26903, 2985, 6672, 2806, 2750, 3203, 10031, 1125, 2498, 1186, 5490, 8318, 19321, 1318, 21638, 4284, 1125, 1306, 6693, 1510, 11706, 1243, 3301, 1188, 1158, 16014, 13076, 6693, 1510, 1186, 488, 125, 123, 124, 123, 119, 1527, 1110, 1913, 1191, 8317, 1309, 26903, 9665, 3144, 1906, 1186, 3141, 488, 125, 123, 124, 124, 121, 4608, 1170, 1865, 2475, 13076, 6693, 28610, 1189, 6277, 11777, 1110, 1913, 3902, 1186, 2320, 3672, 3203, 3617, 1313, 1408, 1125, 8826, 1895, 2844, 1525, 5542, 3143, 1125, 5362, 1158, 4405, 1125, 5764, 1125, 26903, 2442, 1309, 1594, 28640, 121, 4444, 17785, 2576, 13507, 2934, 6317, 1170, 488, 124, 128, 3141, 488, 125, 123, 124, 124, 1300, 1170, 1139, 3174, 17841, 1189, 2879, 2567, 1158, 8969, 12625, 1125, 26903, 119, 1188, 4262, 2519, 15697, 1125, 1158, 1910, 1125, 1282, 180, 159, 4519, 6083, 1197, 17941, 5068, 106, 106, 151, 2038, 1197, 23664, 488, 17617, 22787, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 10170, 1140, 27490, 1703, 488, 130, 1677, 488, 126, 130, 3686, 21185, 1756, 4494, 1293, 7939, 1988, 3454, 1192, 2850, 3197, 4698, 2251, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 126, 1677, 488, 126, 130, 13440, 1151, 1192, 1613, 3383, 6047, 3340, 1119, 10036, 1673, 10170, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1321, 1292, 15027, 2485, 179, 1857, 1703, 488, 127, 1677, 488, 125, 127, 9810, 3771, 1903, 1161, 29751, 18885, 4720, 5191, 1108, 1715, 1673, 1867, 1119, 1405, 1722, 3331, 116, 1325, 17386, 1548, 4744, 133, 6480, 1325, 1532, 1703, 488, 128, 1677, 488, 127, 127, 6226, 3558, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1918, 1433, 5950, 29474, 1703, 488, 128, 1677, 10882, 18146, 1509, 6198, 183, 2394, 168, 1175, 125, 1677, 488, 128, 127, 116, 1233, 3807, 9845, 1292, 15027, 2485, 179, 1857, 1673, 10170, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 1321, 1292, 15027, 2485, 179, 1857, 1703, 488, 129, 1677, 488, 124, 129, 30306, 9845, 186, 1140, 27490, 116, 1325, 17386, 1548, 4744, 133, 10170, 1140, 27490, 1703, 488, 129, 1677, 488, 128, 124, 8929, 172, 9845, 186, 1140, 15858, 11205, 12426, 9282, 1784, 1107, 1673, 8980, 13833, 1539, 1120, 13899, 116, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 128, 1677, 488, 127, 128, 13605, 5262, 2460, 1314, 4698, 2251, 9282, 1784, 1107, 1673, 1918, 1433, 5950, 29474, 116, 1325, 17386, 1548, 4744, 133, 11658, 24540, 10341, 2313, 1322, 1703, 488, 126, 1677, 488, 126, 129, 14788, 4736, 22787, 9845, 186, 1140, 27490, 1673, 12426, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 12426, 9282, 1784, 1107, 1703, 488, 129, 1677, 488, 123, 128, 31695, 1569, 7837, 1175, 1891, 1287, 1108, 23128, 1673, 5644, 9193, 5386, 116, 1325, 17386, 1548, 4744, 133, 1321, 1217, 1293, 1292, 1429, 1703, 488, 130, 1677, 488, 124, 124, 14788, 4736, 22787, 6700, 1217, 2504, 10671, 116, 9845, 186, 1140, 27490, 1673, 12426, 9282, 1784, 25802, 1325, 17386, 1548, 4744, 133, 1321, 1217, 1293, 1292, 1429, 1703, 488, 126, 1677, 488, 128, 128, 106, 106, 2809, 2139, 1525, 106, 106, 20634, 1548, 3694, 1125, 26903, 2985, 16752, 1300, 1170, 1865, 6536, 1125, 10170, 1140, 27490, 1170, 488, 124, 125, 2584, 488, 125, 123, 124, 123, 121, 1918, 1433, 5950, 1484, 2114, 1189, 1197, 13713, 11843, 1227, 24223, 2690, 1125, 26903, 14041, 1624, 1189, 2580, 6030, 1583, 1280, 12422, 1553, 1966, 10978, 1540, 4490, 25988, 1309, 10276, 1915, 1441, 4868, 1215, 1235, 1548, 10424, 6030, 13076, 6693, 1510, 4909, 1299, 30466, 1553, 6045, 27190, 1256, 30059, 1199, 25988, 1300, 1594, 2803, 6536, 119, 1170, 488, 126, 2749, 488, 125, 123, 124, 124, 121, 1548, 3935, 5246, 3010, 4736, 22787, 109, 1299, 12749, 1189, 8544, 1188, 1158, 9421, 6801, 3556, 1186, 488, 125, 123, 124, 124, 121, 106, 106, 10853, 106, 106, 28870, 5825, 1325, 19180, 3867, 1410, 6226, 3558, 4770, 11076, 1306, 6693, 1510, 4909, 8935, 4770, 11076, 1306, 6693, 1510, 10397, 8935, 1306, 11716, 5448, 146, 6088, 29197, 1266, 2061, 6833, 8804, 1605, 2560, 140, 488, 488, 125, 123, 124, 124, 4267, 7761, 4518, 152, 11762, 464, 1198, 4707, 26507, 1125, 7585, 14224, 11150, 26507, 10709, 9665, 1186, 488, 125, 123, 124, 124, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 142, 2119, 1170, 8483, 6030, 1227, 3274, 1410, 6164, 6442, 9665, 1170, 488, 125, 125, 2921, 488, 124, 132, 129, 131, 121, 1653, 4579, 244, 1571, 5490, 1180, 1198, 159, 146, 1125, 10221, 15486, 1835, 3141, 1167, 1423, 2433, 1527, 16810, 1170, 4374, 1167, 3430, 5632, 1189, 1227, 3274, 18505, 5999, 10031, 116, 1167, 11550, 1964, 6311, 3935, 5632, 1189, 25610, 2086, 1209, 12270, 2631, 13037, 488, 126, 3201, 488, 124, 132, 129, 131, 1256, 2069, 10031, 1576, 1548, 3151, 3935, 7841, 1125, 26903, 2985, 1410, 1814, 8514, 8431, 1331, 1107, 1357, 5906, 1442, 1123, 1158, 488, 126, 132, 2247, 2320, 1227, 9742, 5691, 9372, 488, 124, 123, 123, 121, 1768, 1299, 2072, 1170, 3151, 6030, 1227, 3274, 1188, 18069, 1313, 1207, 1270, 8752, 9400, 2585, 1527, 17895, 2402, 172, 1188, 1158, 488, 124, 129, 2247, 14801, 106, 106, 30609, 106, 106, 142, 1130, 6030, 14759, 11102, 7053, 1188, 21839, 1410, 29478, 18760, 1161, 1410, 1200, 1493, 16639, 1768, 11550, 3171, 24165, 1227, 24223, 2487, 25610, 2086, 1209, 12270, 2631, 119, 1410, 1814, 8514, 8431, 1331, 1107, 1167, 18451, 3091, 1342, 1119, 2487, 8999, 12716, 1299, 1318, 14132, 5519, 1243, 9212, 4277, 1304, 5018, 172, 1183, 24732, 1538, 1493, 121, 1548, 6092, 1125, 12611, 7219, 189, 2673, 1410, 29478, 18760, 1161, 1410, 1200, 27184, 2985, 31928, 1300, 1158, 18766, 5904, 21172, 1188, 1158, 3221, 1125, 18480, 121, 6053, 26903, 13553, 1170, 1408, 6001, 1227, 3274, 1734, 1527, 14759, 1417, 4448, 1188, 21839, 1158, 9186, 9545, 1410, 29478, 18760, 1161, 1410, 1200, 27184, 1357, 1299, 11051, 12115, 1167, 30286, 1188, 1158, 4960, 13676, 1313, 1318, 15038, 1125, 488, 127, 4826, 16475, 16147, 6457, 1163, 1198, 6559, 1135, 13220, 121, 1768, 1288, 11550, 1382, 1170, 3694, 1325, 1370, 1149, 1226, 1135, 6503, 119, 10689, 1313, 26903, 7219, 189, 2673, 9372, 7112, 106, 106, 159, 30087, 106, 159, 7315, 1207, 23070, 1508, 2180, 175, 11568, 1571, 6164, 1500, 9845, 3644, 1222, 1462, 19663, 4603, 3176, 1518, 2348, 16313, 12282, 3318, 197, 1532, 182, 1167, 12611, 7219, 189, 2673, 1576, 106, 106, 147, 1488, 2086, 1209, 12270, 2631, 1703, 488, 125, 133, 124, 127, 106, 151, 1841, 10273, 1703, 488, 125, 133, 128, 126, 106, 6006, 1163, 1198, 6559, 1135, 13220, 1703, 488, 126, 133, 128, 129, 106, 28015, 1707, 1361, 2068, 5630, 1293, 1438, 1703, 488, 126, 133, 125, 125, 106, 162, 2665, 2258, 12270, 1703, 488, 124, 133, 128, 127, 106, 1598, 1814, 8514, 8431, 1331, 1107, 1703, 488, 126, 133, 125, 126, 106, 9592, 15491, 3091, 1342, 1119, 1703, 488, 126, 133, 123, 126, 106, 14628, 17047, 12270, 1703, 488, 126, 133, 123, 124, 106, 2812, 30295, 3032, 4024, 10289, 21746, 13909, 1703, 488, 125, 133, 125, 129, 106, 164, 1346, 1135, 11662, 18106, 190, 1703, 488, 125, 133, 126, 129, 106, 145, 1647, 1163, 5182, 1703, 488, 127, 133, 125, 129, 106, 106, 127, 123, 1276, 4670, 1879, 1626, 27040, 1104, 9901, 1153, 25778, 106, 3681, 13227, 16714, 1361, 2571, 1193, 2504, 1459, 1293, 3870, 1121, 1323, 488, 127, 133, 126, 125, 106, 6006, 3867, 1198, 6559, 1410, 13220, 6047, 6050, 1277, 116, 1323, 488, 123, 133, 127, 126, 106, 6006, 3867, 1198, 6559, 1410, 13220, 30673, 2187, 488, 124, 168, 1323, 488, 126, 133, 128, 132, 106, 6006, 3867, 1198, 6559, 1410, 13220, 30673, 2187, 488, 125, 168, 1323, 488, 127, 133, 124, 130, 106, 1598, 29478, 18760, 7223, 1410, 1200, 27184, 1323, 488, 124, 130, 133, 123, 132, 106, 162, 2665, 2258, 12270, 1175, 2951, 4094, 12119, 1366, 10894, 116, 1323, 488, 124, 133, 128, 127, 106, 106, 158, 1149, 1328, 8004, 1234, 1125, 26903, 106, 1598, 1814, 8514, 8431, 1331, 1107, 1637, 1997, 30295, 3032, 4024, 10289, 21746, 13909, 1664, 126, 132, 1175, 15784, 7540, 116, 106, 147, 1488, 2086, 1209, 12270, 2631, 1637, 12270, 10273, 1664, 124, 1175, 15784, 7540, 116, 106, 106, 152, 19486, 2624, 106, 149, 1195, 7219, 189, 2673, 1257, 14170, 106, 157, 1242, 3318, 197, 1532, 182, 1257, 1455, 1342, 2007, 106, 157, 18438, 1518, 2348, 2104, 1257, 28480, 106, 149, 3644, 1222, 1462, 16101, 1257, 18973, 106, 106, 152, 19486, 2624, 4125, 10654, 106, 143, 1118, 27077, 1200, 1287, 31259, 1257, 16565, 1300, 25610, 2086, 1209, 12270, 2631, 119, 12270, 24773, 6457, 1163, 1198, 6559, 1135, 13220, 119, 23227, 1361, 2068, 5630, 1293, 7664, 24488, 2258, 12270, 119, 18451, 3091, 1342, 3100, 1997, 30295, 3032, 4024, 10289, 21746, 1876, 1659, 26395, 1135, 11662, 18106, 190, 1167, 29279, 1163, 5182, 121, 106, 150, 29737, 19146, 1224, 1257, 16565, 1300, 1410, 1814, 8514, 8431, 1331, 1107, 106, 151, 1107, 1487, 12642, 1245, 8188, 1257, 2714, 173, 2139, 1300, 18451, 3091, 1342, 1119, 106, 106, 2809, 2139, 1525, 19395, 1690, 106, 106, 142, 1107, 15661, 106, 106, 3681, 4354, 11933, 3649, 17908, 1125, 14689, 1314, 1317, 6372, 106, 3681, 4354, 11933, 3649, 17908, 1125, 14689, 1314, 1571, 9864, 106, 3681, 4354, 11933, 3649, 17908, 16834, 1317, 21144, 106, 3681, 4354, 11933, 3649, 17908, 16834, 1186, 17490, 106, 3681, 4354, 11933, 3649, 4415, 17908, 16834, 1186, 2315, 106, 3681, 4354, 1197, 6164, 1500, 106, 3681, 4354, 10709, 9665, 1186, 488, 124, 132, 129, 131, 106, 3681, 4354, 5632, 1189, 1317, 9742, 5691, 488, 125, 123, 123, 106, 3681, 4354, 2513, 1215, 5612, 7747, 30973, 7014, 106, 3681, 4354, 9053, 1215, 31056, 182, 1935, 22628, 106, 32001, 488, 106, 32000, 20036, 106, 5318, 1239, 1135, 4823, 6030, 1449, 1135, 6806, 1410, 6164, 6442, 9578, 1238, 6942, 488, 125, 125, 119, 488, 124, 132, 129, 131, 121, 17084, 1156, 1355, 1198, 159, 146, 8201, 1180, 1147, 10221, 15486, 2910, 7871, 1171, 4151, 119, 1341, 12034, 1135, 6806, 1361, 2155, 2149, 1704, 6030, 18024, 3663, 3255, 4495, 1171, 3431, 1789, 2423, 2149, 1704, 3935, 25610, 2086, 1209, 12270, 2631, 26604, 6678, 488, 126, 119, 488, 124, 132, 129, 131, 1226, 2197, 11004, 1576, 1410, 1940, 3935, 1446, 1135, 6030, 1463, 1410, 1814, 8514, 8431, 1331, 1659, 1758, 13372, 2149, 488, 126, 132, 1238, 1135, 9742, 5691, 9372, 488, 124, 123, 123, 121, 1988, 1239, 1959, 1135, 6806, 1361, 1940, 6030, 1163, 6575, 1135, 7612, 17950, 1285, 2468, 1341, 4482, 5278, 1163, 1135, 488, 124, 129, 1276, 3620, 121, 106, 106, 24436, 106, 106, 5318, 6030, 1463, 18814, 16638, 1163, 1280, 4494, 1410, 29478, 18760, 1161, 1410, 1200, 1493, 16639, 1988, 7245, 5057, 1936, 3674, 1161, 1135, 6806, 119, 3813, 25610, 2086, 1209, 12270, 2631, 119, 1410, 1814, 8514, 8431, 1331, 1659, 1171, 18451, 3091, 1342, 3100, 1324, 2019, 18129, 3026, 1110, 5089, 1161, 15701, 1136, 5787, 1449, 3122, 172, 1183, 24732, 1538, 1493, 121, 12611, 7219, 189, 2673, 1361, 3737, 1410, 29478, 18760, 1161, 1410, 1200, 27184, 1463, 22133, 1238, 1135, 15942, 1114, 19268, 1196, 1355, 1135, 4767, 1361, 19598, 1988, 1239, 1135, 6806, 1361, 4912, 1182, 13553, 6030, 2849, 1341, 1463, 18814, 16638, 1163, 6297, 1135, 2102, 9959, 1410, 29478, 18760, 1161, 1410, 1200, 1493, 4748, 1758, 1463, 11051, 19780, 1171, 16356, 1163, 1135, 8677, 4960, 1147, 1110, 488, 127, 21197, 2732, 6537, 2352, 2128, 6457, 1163, 1198, 6559, 1135, 13220, 121, 1988, 2778, 1375, 4667, 1135, 6537, 1325, 1370, 1149, 1226, 1135, 6503, 119, 1758, 1239, 7869, 1147, 1135, 6030, 7219, 189, 2673, 9372, 7112, 106, 106, 16053, 190, 106, 5217, 16190, 1393, 16327, 2580, 1163, 1410, 6164, 1500, 9845, 3644, 1222, 1462, 19663, 4603, 3176, 1518, 2348, 16313, 12282, 3318, 197, 1532, 5544, 1171, 12611, 7219, 189, 2673, 1576, 106, 106, 147, 1488, 2086, 1209, 12270, 2631, 1703, 488, 125, 133, 124, 127, 106, 151, 1841, 10273, 1703, 488, 125, 133, 128, 126, 106, 6006, 1163, 1198, 6559, 1135, 13220, 1703, 488, 126, 133, 128, 129, 106, 28015, 1707, 1361, 2068, 5630, 1293, 1438, 1703, 488, 126, 133, 125, 125, 106, 162, 2665, 2258, 12270, 1703, 488, 124, 133, 128, 127, 106, 1598, 1814, 8514, 8431, 1331, 1107, 1703, 488, 126, 133, 125, 126, 106, 9592, 15491, 3091, 1342, 1119, 1703, 488, 126, 133, 123, 126, 106, 14628, 17047, 12270, 1703, 488, 126, 133, 123, 124, 106, 2812, 30295, 3032, 4024, 10289, 21746, 13909, 1703, 488, 125, 133, 125, 129, 106, 164, 1346, 1135, 11662, 18106, 190, 1703, 488, 125, 133, 126, 129, 106, 145, 1647, 1163, 5182, 1703, 488, 127, 133, 125, 129, 106, 106, 4650, 11530, 4523, 18200, 106, 143, 1118, 27077, 1200, 1287, 31259, 133, 10844, 1238, 25610, 2086, 1209, 12270, 2631, 119, 12270, 24773, 6457, 1163, 1198, 6559, 1135, 13220, 119, 23227, 1361, 2068, 5630, 1293, 7664, 24488, 2258, 12270, 119, 18451, 3091, 1342, 3100, 1997, 30295, 3032, 4024, 10289, 21746, 1876, 1659, 26395, 1135, 11662, 18106, 1285, 1171, 29279, 1163, 5182, 121, 106, 150, 29737, 19146, 1224, 133, 10844, 1238, 1410, 1814, 8514, 8431, 1331, 1107, 106, 151, 1107, 1487, 12642, 1245, 8188, 133, 4415, 10844, 1238, 18451, 3091, 1342, 1119, 106, 106, 2812, 2296, 1269, 1248, 2268, 1972, 106, 106, 142, 1107, 15661, 106, 106, 3681, 4354, 29466, 1264, 8351, 1255, 1147, 6372, 106, 3681, 4354, 29466, 1264, 8351, 1255, 1147, 1135, 4909, 6716, 106, 3681, 4354, 29466, 10435, 1147, 1135, 7612, 106, 3681, 4354, 29466, 10435, 1147, 18948, 106, 3681, 4354, 29466, 4415, 10435, 1147, 2315, 106, 1598, 6164, 1500, 114, 6030, 106, 152, 1153, 1926, 6030, 9578, 1147, 488, 124, 132, 129, 131, 106, 7125, 1704, 6030, 1238, 1135, 9742, 5691, 488, 125, 123, 123, 106, 2101, 7769, 1449, 5612, 7747, 30973, 7014, 106, 1891, 1126, 3245, 1449, 31056, 182, 1935, 22628, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 5318, 1239, 1135, 4823, 6030, 1449, 1135, 6806, 1410, 6164, 6442, 9578, 1238, 6942, 488, 125, 125, 119, 488, 124, 132, 129, 131, 121, 17084, 1156, 1355, 1198, 159, 146, 8201, 1180, 1147, 10221, 15486, 2910, 7871, 1171, 4151, 119, 1341, 12034, 1135, 6806, 1361, 2155, 2149, 1704, 6030, 18024, 3663, 3255, 4495, 1171, 3431, 1789, 2423, 2149, 1704, 3935, 25610, 2086, 1209, 12270, 2631, 26604, 6678, 488, 126, 119, 488, 124, 132, 129, 131, 1226, 2197, 11004, 1576, 1410, 1940, 3935, 1446, 1135, 6030, 1463, 1410, 1814, 8514, 8431, 1331, 1659, 1758, 13372, 2149, 488, 126, 132, 1238, 1135, 9742, 5691, 9372, 488, 124, 123, 123, 121, 1988, 1239, 1959, 1135, 6806, 1361, 1940, 6030, 1163, 6575, 1135, 7612, 17950, 1285, 2468, 1341, 4482, 5278, 1163, 1135, 488, 124, 129, 1276, 3620, 121, 106, 106, 24436, 106, 106, 5318, 6030, 1463, 18814, 16638, 1163, 1280, 4494, 1410, 29478, 18760, 1161, 1410, 1200, 1493, 16639, 1988, 7245, 5057, 1936, 3674, 1161, 1135, 6806, 119, 3813, 25610, 2086, 1209, 12270, 2631, 119, 1410, 1814, 8514, 8431, 1331, 1659, 1171, 18451, 3091, 1342, 3100, 1324, 2019, 18129, 3026, 1110, 5089, 1161, 15701, 1136, 5787, 1449, 3122, 172, 1183, 24732, 1538, 1493, 121, 12611, 7219, 189, 2673, 1361, 3737, 1410, 29478, 18760, 1161, 1410, 1200, 27184, 1463, 22133, 1238, 1135, 15942, 1114, 19268, 1196, 1355, 1135, 4767, 1361, 19598, 1988, 1239, 1135, 6806, 1361, 4912, 1182, 13553, 6030, 2849, 1341, 1463, 18814, 16638, 1163, 6297, 1135, 2102, 9959, 1410, 29478, 18760, 1161, 1410, 1200, 1493, 4748, 1758, 1463, 11051, 19780, 1171, 16356, 1163, 1135, 8677, 4960, 1147, 1110, 488, 127, 21197, 2732, 6537, 2352, 2128, 6457, 1163, 1198, 6559, 1135, 13220, 121, 1988, 2778, 1375, 4667, 1135, 6537, 1325, 1370, 1149, 1226, 1135, 6503, 119, 1758, 1239, 7869, 1147, 1135, 6030, 7219, 189, 2673, 9372, 7112, 106, 106, 16053, 190, 106, 5217, 16190, 1393, 16327, 2580, 1163, 1410, 6164, 1500, 9845, 3644, 1222, 1462, 19663, 4603, 3176, 1518, 2348, 16313, 12282, 3318, 197, 1532, 5544, 1171, 12611, 7219, 189, 2673, 1576, 106, 106, 147, 1488, 2086, 1209, 12270, 2631, 1703, 488, 125, 133, 124, 127, 106, 151, 1841, 10273, 1703, 488, 125, 133, 128, 126, 106, 6006, 1163, 1198, 6559, 1135, 13220, 1703, 488, 126, 133, 128, 129, 106, 28015, 1707, 1361, 2068, 5630, 1293, 1438, 1703, 488, 126, 133, 125, 125, 106, 162, 2665, 2258, 12270, 1703, 488, 124, 133, 128, 127, 106, 1598, 1814, 8514, 8431, 1331, 1107, 1703, 488, 126, 133, 125, 126, 106, 9592, 15491, 3091, 1342, 1119, 1703, 488, 126, 133, 123, 126, 106, 14628, 17047, 12270, 1703, 488, 126, 133, 123, 124, 106, 2812, 30295, 3032, 4024, 10289, 21746, 13909, 1703, 488, 125, 133, 125, 129, 106, 164, 1346, 1135, 11662, 18106, 190, 1703, 488, 125, 133, 126, 129, 106, 145, 1647, 1163, 5182, 1703, 488, 127, 133, 125, 129, 106, 106, 4650, 11530, 4523, 18200, 106, 143, 1118, 27077, 1200, 1287, 31259, 133, 10844, 1238, 25610, 2086, 1209, 12270, 2631, 119, 12270, 24773, 6457, 1163, 1198, 6559, 1135, 13220, 119, 23227, 1361, 2068, 5630, 1293, 7664, 24488, 2258, 12270, 119, 18451, 3091, 1342, 3100, 1997, 30295, 3032, 4024, 10289, 21746, 1876, 1659, 26395, 1135, 11662, 18106, 1285, 1171, 29279, 1163, 5182, 121, 106, 150, 29737, 19146, 1224, 133, 10844, 1238, 1410, 1814, 8514, 8431, 1331, 1107, 106, 151, 1107, 1487, 12642, 1245, 8188, 133, 4415, 10844, 1238, 18451, 3091, 1342, 1119, 106, 106, 2812, 2296, 1269, 1248, 2268, 1972, 106, 106, 142, 1107, 15661, 106, 106, 3681, 4354, 29466, 1264, 8351, 1255, 1147, 6372, 106, 3681, 4354, 29466, 1264, 8351, 1255, 1147, 1135, 4909, 6716, 106, 3681, 4354, 29466, 10435, 1147, 1135, 7612, 106, 3681, 4354, 29466, 10435, 1147, 18948, 106, 3681, 4354, 29466, 4415, 10435, 1147, 2315, 106, 1598, 6164, 1500, 114, 6030, 106, 152, 1153, 1926, 6030, 9578, 1147, 488, 124, 132, 129, 131, 106, 7125, 1704, 6030, 1238, 1135, 9742, 5691, 488, 125, 123, 123, 106, 2101, 7769, 1449, 5612, 7747, 30973, 7014, 106, 1891, 1126, 3245, 1449, 31056, 182, 1935, 22628, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 17239, 2892, 2231, 183, 2410, 1508, 5039, 1473, 2290, 1170, 12119, 1364, 1125, 13811, 4389, 11493, 11755, 1823, 13811, 22983, 1125, 13638, 5650, 13811, 22983, 1125, 6592, 1118, 1208, 1362, 13811, 22983, 18163, 6616, 1374, 1257, 106, 106, 1686, 13702, 488, 106, 2605, 11645, 3281, 8157, 1203, 11493, 1188, 15989, 106, 2605, 11645, 3281, 8157, 1203, 11493, 1188, 17181, 2683, 16984, 5867, 189, 1250, 1717, 116, 106, 106, 1686, 21593, 488, 106, 3281, 8157, 1203, 1354, 14058, 3486, 7743, 1188, 1350, 193, 2295, 186, 106, 106, 1686, 2315, 488, 106, 2605, 11645, 3281, 8157, 1203, 1354, 3840, 10720, 1119, 1130, 1304, 5217, 14477, 106, 2605, 11645, 3281, 8157, 1203, 1354, 17194, 5899, 106, 2605, 11645, 3281, 8157, 1203, 1354, 5519, 14753, 3683, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1233, 1220, 3683, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1643, 1233, 1992, 27978, 14058, 4379, 2340, 7489, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3032, 1869, 1531, 119, 106, 22925, 28896, 3281, 8157, 1203, 1354, 1125, 3032, 1869, 1531, 119, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 19251, 6488, 1351, 1265, 120, 2136, 4101, 196, 2944, 106, 1645, 174, 3556, 28896, 3281, 8157, 1203, 1354, 1125, 12116, 2765, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 12116, 2765, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1539, 2733, 180, 3683, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 30844, 1857, 8291, 3441, 1371, 3603, 106, 2605, 11645, 3281, 8157, 1203, 1354, 14776, 3046, 1220, 1125, 12511, 1104, 1623, 6867, 2649, 2357, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 12511, 1126, 2886, 2944, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 4307, 16832, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 10148, 1762, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 16062, 11901, 119, 1313, 29204, 6664, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1222, 2589, 1104, 1313, 1158, 1266, 1795, 193, 2944, 106, 2605, 11645, 3281, 8157, 1203, 1354, 6348, 2145, 1187, 3683, 106, 2605, 11645, 3281, 8157, 1203, 1354, 6348, 1243, 1342, 5567, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 10941, 4270, 4530, 8687, 6867, 1488, 1345, 9992, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 7494, 3100, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 17921, 7234, 2620, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1808, 173, 5596, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1200, 11439, 3840, 7662, 4853, 24685, 106, 2605, 11645, 3281, 8157, 1203, 1354, 2992, 114, 147, 6616, 1374, 8687, 17116, 3551, 183, 4964, 1125, 8281, 190, 1172, 1285, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 14357, 8021, 120, 3681, 1333, 1659, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 4020, 1292, 2563, 106, 2605, 11645, 3281, 8157, 1203, 1354, 14609, 190, 1707, 1762, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 11435, 1128, 1188, 2324, 1491, 193, 1541, 19666, 140, 1196, 7490, 2114, 106, 2605, 11645, 3281, 8157, 1203, 1354, 6122, 3486, 4363, 1112, 1125, 6721, 106, 2605, 11645, 3281, 8157, 1203, 1354, 8021, 5445, 6154, 1125, 13082, 2139, 119, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 26233, 1442, 1762, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 6123, 2649, 9604, 8687, 10720, 1478, 193, 3174, 106, 2605, 11645, 13894, 4379, 178, 19548, 8687, 17116, 8157, 1203, 1354, 1125, 3281, 8157, 1203, 4741, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3281, 8157, 1203, 1354, 10720, 1301, 1148, 4019, 119, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3281, 8157, 1203, 1354, 19666, 2439, 7467, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3281, 8157, 1203, 1354, 3840, 4101, 1174, 1614, 119, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3281, 8157, 1203, 1354, 14058, 26076, 2313, 2694, 2563, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3281, 8157, 1203, 1354, 8291, 3551, 2589, 119, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3281, 8157, 1203, 1354, 8021, 6867, 2839, 3476, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 12313, 2834, 13666, 10720, 11204, 31291, 15316, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 3281, 6867, 2733, 1762, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1173, 2677, 1762, 106, 2605, 11645, 19951, 1349, 1366, 3281, 8157, 1203, 1354, 1125, 1173, 2794, 1159, 196, 6122, 5264, 189, 8255, 106, 2605, 11645, 8605, 2988, 3281, 8157, 1203, 1354, 1125, 1173, 2794, 1159, 196, 6122, 5264, 189, 8255, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 8649, 1312, 3926, 1573, 3174, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1545, 1136, 1762, 1313, 1282, 164, 20378, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 20704, 1105, 8021, 20089, 255, 6664, 106, 2605, 11645, 3281, 8157, 1203, 11493, 3247, 1125, 1282, 20246, 3991, 173, 11883, 1125, 3281, 8157, 1203, 1354, 1125, 6745, 1285, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1198, 1568, 173, 1376, 3840, 4101, 2547, 2114, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1125, 1352, 1195, 1108, 4746, 106, 106, 1686, 20375, 488, 106, 2605, 11645, 3281, 8157, 1203, 1354, 1188, 10255, 2988, 4289, 1146, 1399, 116, 106, 106, 1686, 14512, 488, 106, 2605, 11645, 3281, 8157, 1203, 11493, 1188, 23148, 2289, 12210, 250, 176, 22926, 186, 106, 106, 8036, 2072, 121, 32001, 488, 106, 32000, 20036, 106, 158, 3178, 1132, 1270, 1136, 2942, 1393, 14874, 1163, 3281, 4389, 20101, 2000, 2592, 1280, 3281, 4389, 2323, 1161, 1198, 2289, 3794, 3281, 4389, 2323, 1161, 6592, 1118, 10645, 1329, 3281, 4389, 2323, 1135, 1306, 16164, 9458, 133, 106, 106, 1428, 8996, 3282, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 15989, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 17181, 2683, 16984, 5867, 189, 2331, 1785, 116, 106, 106, 1428, 27240, 106, 158, 2472, 8157, 1203, 1354, 14058, 3486, 7743, 1147, 1350, 193, 2295, 186, 106, 106, 1428, 2315, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 3840, 10720, 1119, 1130, 1147, 3454, 3383, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1922, 1328, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 24975, 10953, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1233, 1220, 1128, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1643, 1233, 1992, 27978, 14058, 4379, 2340, 1250, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3032, 1869, 1531, 106, 22464, 11849, 1161, 3281, 8157, 1203, 1354, 1147, 3032, 1869, 1531, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 19251, 6488, 1351, 1265, 120, 2136, 4101, 196, 1112, 106, 4499, 1107, 11849, 1161, 3281, 8157, 1203, 1354, 1147, 12116, 1108, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 12116, 1108, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1539, 2733, 10953, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 30844, 1857, 8291, 3441, 1371, 1314, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 14776, 3046, 1220, 1147, 12511, 1104, 1623, 6867, 2649, 244, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 12511, 1126, 10843, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 4307, 6021, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 27444, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 16062, 11901, 119, 1147, 3225, 1245, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1222, 2589, 1104, 1147, 1266, 1795, 20695, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10665, 1187, 1128, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 7572, 1342, 1124, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10941, 4270, 4530, 8687, 6867, 1488, 1345, 1415, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 7494, 1119, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 17921, 7234, 1214, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1808, 173, 1517, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1200, 11439, 3840, 7662, 4853, 1145, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 9800, 7002, 16164, 9458, 11005, 17116, 3551, 183, 4964, 1147, 8281, 190, 10667, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 14357, 8021, 120, 3681, 4618, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 4020, 1292, 1201, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 15783, 1707, 196, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 11435, 1128, 1147, 2324, 1491, 193, 1541, 19666, 140, 11162, 2548, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 6122, 3486, 4363, 1112, 1147, 2801, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 8021, 5445, 6154, 1147, 13082, 2139, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 26233, 26070, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 6123, 2649, 9604, 8687, 10720, 1478, 17212, 106, 2330, 5583, 1161, 13894, 4379, 178, 19548, 11005, 17116, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1575, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 10720, 1301, 1148, 4019, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 19666, 2439, 1159, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 3840, 4101, 1174, 1614, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 14058, 26076, 2313, 2694, 1201, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 8291, 3551, 2589, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 8021, 6867, 2839, 1126, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 12313, 2834, 13666, 10720, 11204, 31291, 1183, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 6867, 2733, 196, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10217, 1857, 106, 2951, 1943, 10277, 1161, 3281, 8157, 1203, 1354, 1147, 1173, 2794, 1159, 196, 6122, 5264, 8539, 106, 157, 3841, 1104, 1244, 10277, 1161, 3281, 8157, 1203, 1354, 1147, 1173, 2794, 1159, 196, 6122, 5264, 8539, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 8649, 1312, 3926, 1573, 1130, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1545, 1136, 1762, 1147, 1671, 1767, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 20704, 1105, 8021, 31653, 106, 2330, 5583, 1161, 3281, 8157, 1203, 11493, 1910, 1161, 1135, 6459, 3991, 1897, 196, 1161, 3281, 8157, 1203, 1354, 1147, 29467, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1198, 1568, 173, 1376, 3840, 4101, 2547, 1105, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1352, 1195, 1108, 1130, 106, 106, 1428, 23569, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10255, 19128, 4289, 1146, 2775, 116, 106, 106, 1428, 18846, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 23148, 2289, 182, 1487, 176, 22926, 186, 106, 106, 21320, 1959, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 158, 3178, 1132, 1270, 1136, 2942, 1393, 14874, 1163, 3281, 4389, 20101, 2000, 2592, 1280, 3281, 4389, 2323, 1161, 1198, 2289, 3794, 3281, 4389, 2323, 1161, 6592, 1118, 10645, 1329, 3281, 4389, 2323, 1135, 1306, 16164, 9458, 133, 106, 106, 1428, 8996, 3282, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 15989, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 17181, 2683, 16984, 5867, 189, 2331, 1785, 116, 106, 106, 1428, 27240, 106, 158, 2472, 8157, 1203, 1354, 14058, 3486, 7743, 1147, 1350, 193, 2295, 186, 106, 106, 1428, 2315, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 3840, 10720, 1119, 1130, 1147, 3454, 3383, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1922, 1328, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 24975, 10953, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1233, 1220, 1128, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1643, 1233, 1992, 27978, 14058, 4379, 2340, 1250, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3032, 1869, 1531, 106, 22464, 11849, 1161, 3281, 8157, 1203, 1354, 1147, 3032, 1869, 1531, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 19251, 6488, 1351, 1265, 120, 2136, 4101, 196, 1112, 106, 4499, 1107, 11849, 1161, 3281, 8157, 1203, 1354, 1147, 12116, 1108, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 12116, 1108, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1539, 2733, 10953, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 30844, 1857, 8291, 3441, 1371, 1314, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 14776, 3046, 1220, 1147, 12511, 1104, 1623, 6867, 2649, 244, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 12511, 1126, 10843, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 4307, 6021, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 27444, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 16062, 11901, 119, 1147, 3225, 1245, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1222, 2589, 1104, 1147, 1266, 1795, 20695, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10665, 1187, 1128, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 7572, 1342, 1124, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10941, 4270, 4530, 8687, 6867, 1488, 1345, 1415, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 7494, 1119, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 17921, 7234, 1214, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1808, 173, 1517, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1200, 11439, 3840, 7662, 4853, 1145, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 9800, 7002, 16164, 9458, 11005, 17116, 3551, 183, 4964, 1147, 8281, 190, 10667, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 14357, 8021, 120, 3681, 4618, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 4020, 1292, 1201, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 15783, 1707, 196, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 11435, 1128, 1147, 2324, 1491, 193, 1541, 19666, 140, 11162, 2548, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 6122, 3486, 4363, 1112, 1147, 2801, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 8021, 5445, 6154, 1147, 13082, 2139, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 26233, 26070, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 6123, 2649, 9604, 8687, 10720, 1478, 17212, 106, 2330, 5583, 1161, 13894, 4379, 178, 19548, 11005, 17116, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1575, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 10720, 1301, 1148, 4019, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 19666, 2439, 1159, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 3840, 4101, 1174, 1614, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 14058, 26076, 2313, 2694, 1201, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 8291, 3551, 2589, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 8157, 1203, 1354, 8021, 6867, 2839, 1126, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 12313, 2834, 13666, 10720, 11204, 31291, 1183, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 3281, 6867, 2733, 196, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10217, 1857, 106, 2951, 1943, 10277, 1161, 3281, 8157, 1203, 1354, 1147, 1173, 2794, 1159, 196, 6122, 5264, 8539, 106, 157, 3841, 1104, 1244, 10277, 1161, 3281, 8157, 1203, 1354, 1147, 1173, 2794, 1159, 196, 6122, 5264, 8539, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 8649, 1312, 3926, 1573, 1130, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1545, 1136, 1762, 1147, 1671, 1767, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 20704, 1105, 8021, 31653, 106, 2330, 5583, 1161, 3281, 8157, 1203, 11493, 1910, 1161, 1135, 6459, 3991, 1897, 196, 1161, 3281, 8157, 1203, 1354, 1147, 29467, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1198, 1568, 173, 1376, 3840, 4101, 2547, 1105, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 1352, 1195, 1108, 1130, 106, 106, 1428, 23569, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 10255, 19128, 4289, 1146, 2775, 116, 106, 106, 1428, 18846, 106, 2330, 5583, 1161, 3281, 8157, 1203, 1354, 1147, 23148, 2289, 182, 1487, 176, 22926, 186, 106, 106, 21320, 1959, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 153, 9836, 28219, 16330, 6256, 2589, 1147, 6674, 488, 124, 132, 128, 128, 1147, 1643, 3934, 192, 252, 1810, 27240, 116, 1239, 1110, 18451, 3647, 1659, 3483, 1475, 1659, 4501, 2250, 1659, 1171, 22098, 22676, 106, 106, 141, 180, 11114, 106, 153, 9836, 28219, 16330, 1463, 9204, 1147, 488, 124, 132, 128, 128, 1147, 1643, 3934, 192, 252, 1810, 1147, 1135, 6054, 1161, 7494, 1146, 4741, 3621, 11431, 2133, 6312, 1163, 21798, 1108, 1163, 5705, 4501, 10254, 1171, 22083, 1446, 488, 124, 132, 130, 129, 1163, 488, 124, 132, 131, 123, 119, 2884, 1959, 12360, 18674, 11569, 1147, 20205, 3750, 1355, 1405, 1228, 190, 10168, 1171, 14940, 20817, 184, 5116, 10585, 106, 106, 2700, 16257, 106, 106, 145, 6417, 6329, 13450, 190, 106, 124, 132, 132, 124, 133, 5807, 4436, 1125, 1560, 3212, 1850, 1175, 21186, 3418, 116, 106, 124, 132, 132, 126, 133, 3743, 183, 13096, 1310, 186, 18364, 1175, 21186, 3418, 116, 106, 124, 132, 132, 127, 133, 1192, 8655, 1182, 1154, 1713, 1208, 4816, 6713, 161, 3418, 116, 106, 125, 123, 123, 123, 133, 16419, 172, 6046, 2673, 106, 125, 123, 123, 125, 133, 3698, 1273, 23307, 6713, 161, 3418, 116, 106, 125, 123, 123, 125, 133, 10941, 1569, 25219, 1175, 21186, 3418, 116, 106, 125, 123, 123, 126, 133, 1808, 8973, 1357, 1288, 29683, 1382, 106, 125, 123, 123, 126, 133, 1252, 3074, 1525, 6713, 161, 3418, 116, 106, 125, 123, 123, 126, 133, 12554, 1140, 1175, 21186, 3418, 116, 106, 125, 123, 123, 127, 133, 1814, 30216, 1244, 1125, 1127, 260, 190, 5245, 106, 125, 123, 123, 129, 133, 1867, 3688, 1104, 106, 125, 123, 123, 129, 133, 6709, 144, 7048, 10458, 121, 133, 1202, 1462, 11180, 1186, 1540, 2128, 1217, 106, 125, 123, 123, 130, 133, 1867, 1852, 2506, 1120, 1449, 29083, 2497, 1119, 195, 186, 16385, 4891, 106, 125, 123, 123, 130, 133, 10255, 1132, 3382, 106, 125, 123, 123, 131, 133, 3985, 4206, 252, 186, 1125, 3688, 1150, 1449, 1321, 6399, 2068, 6268, 172, 106, 125, 123, 123, 132, 133, 1192, 2015, 172, 8910, 1115, 11149, 1175, 21186, 3418, 116, 106, 125, 123, 124, 124, 133, 1192, 2015, 172, 8910, 1115, 11149, 106, 125, 123, 124, 124, 133, 2502, 1208, 1299, 236, 1110, 25083, 1146, 1176, 2240, 138, 106, 125, 123, 124, 125, 133, 1643, 1198, 2752, 1186, 19274, 1175, 20982, 1839, 1141, 116, 1449, 1209, 6645, 1183, 2504, 20344, 1107, 1141, 106, 125, 123, 124, 125, 133, 1350, 2271, 1205, 2009, 1175, 21186, 3418, 116, 106, 125, 123, 124, 125, 133, 7219, 1117, 1175, 21186, 3418, 116, 106, 125, 123, 124, 128, 133, 9339, 1112, 1125, 8346, 1307, 13747, 106, 125, 123, 124, 128, 133, 3091, 1245, 1125, 1185, 1342, 180, 9494, 1175, 21186, 3418, 116, 106, 125, 123, 124, 129, 133, 1192, 6385, 1219, 1154, 2054, 1502, 172, 106, 125, 123, 124, 130, 133, 1192, 17943, 6338, 31552, 106, 125, 123, 124, 130, 133, 1410, 22269, 4258, 11109, 1175, 21186, 3418, 116, 106, 125, 123, 124, 131, 133, 1202, 1866, 2401, 1175, 21186, 3418, 116, 106, 125, 123, 124, 132, 133, 20507, 1137, 8297, 1575, 1175, 21186, 3418, 116, 106, 125, 123, 125, 125, 133, 2502, 1208, 1127, 236, 1120, 1560, 176, 106, 106, 158, 5319, 6329, 13450, 190, 106, 124, 132, 132, 123, 133, 15783, 1656, 3740, 2053, 1187, 2972, 1175, 1438, 14975, 116, 106, 124, 132, 132, 128, 120, 125, 123, 123, 127, 133, 2769, 1128, 1180, 11305, 12924, 106, 124, 132, 132, 129, 133, 1306, 1558, 1309, 2824, 106, 124, 132, 132, 129, 133, 1192, 5920, 1575, 1202, 10205, 106, 125, 123, 123, 125, 133, 29646, 7726, 1125, 29354, 172, 106, 125, 123, 123, 127, 120, 125, 123, 123, 128, 133, 3187, 1170, 1120, 1125, 12550, 1342, 10445, 106, 125, 123, 123, 129, 120, 125, 123, 123, 130, 133, 1192, 1152, 7726, 5873, 2172, 2009, 106, 125, 123, 123, 130, 120, 125, 123, 124, 125, 133, 5450, 1766, 1575, 10563, 5160, 1158, 8246, 1277, 106, 125, 123, 123, 131, 133, 1405, 14236, 16063, 106, 125, 123, 123, 131, 133, 3276, 2009, 7207, 186, 106, 106, 140, 5381, 106, 125, 123, 123, 127, 1204, 10027, 1204, 1230, 186, 10812, 1226, 10347, 29888, 21158, 13450, 1226, 1135, 6446, 3187, 1170, 1120, 1125, 12550, 1342, 10445, 106, 125, 123, 123, 130, 1204, 10027, 1204, 1230, 186, 10812, 1226, 10347, 29888, 21158, 13450, 1226, 1135, 3719, 1589, 3418, 1867, 1852, 2506, 1120, 18840, 1449, 29083, 2497, 1119, 195, 186, 16385, 4891, 106, 125, 123, 123, 131, 1204, 10027, 1204, 1230, 186, 10812, 1226, 1135, 6329, 13450, 1161, 3985, 4206, 252, 186, 1125, 3688, 1150, 106, 106, 26722, 14520, 106, 7089, 11076, 4877, 106, 106, 141, 2589, 1147, 6674, 488, 124, 132, 128, 128, 106, 9592, 15491, 22098, 1267, 106, 9592, 15491, 3418, 31022, 106, 9592, 15491, 4501, 27368, 106, 141, 2589, 1147, 1643, 3934, 192, 252, 172, 4297, 32001, 488, 106, 32000, 20036, 106, 153, 9836, 28219, 16330, 24051, 1186, 3012, 488, 124, 132, 128, 128, 1188, 1643, 3934, 16528, 1186, 21593, 116, 1299, 1189, 28619, 4819, 13706, 4819, 24190, 1125, 7585, 1167, 22098, 2038, 13870, 16432, 106, 106, 141, 11741, 488, 106, 153, 9836, 28219, 16330, 1139, 6146, 1186, 488, 124, 132, 128, 128, 1188, 1643, 3934, 1307, 6664, 1313, 1158, 3734, 1125, 7494, 8117, 1186, 21593, 121, 1768, 1910, 1982, 1909, 8787, 1186, 26274, 119, 2585, 1527, 1281, 4438, 1188, 1158, 10254, 24885, 1167, 1317, 22083, 1125, 488, 124, 132, 130, 129, 1188, 488, 124, 132, 131, 123, 119, 1186, 2076, 2658, 3365, 26834, 1197, 8787, 1186, 20205, 1960, 1313, 1207, 5116, 1837, 1304, 160, 1228, 190, 10168, 1167, 1125, 14940, 20817, 5784, 106, 106, 2700, 16257, 106, 106, 141, 19350, 3425, 2137, 1125, 8196, 488, 106, 488, 124, 132, 132, 124, 1257, 5807, 4436, 1125, 1560, 3212, 1850, 3471, 9604, 4972, 3277, 116, 106, 488, 124, 132, 132, 126, 1257, 3743, 183, 13096, 1310, 186, 18364, 3471, 9604, 4972, 3277, 116, 106, 488, 124, 132, 132, 127, 1257, 1192, 8655, 1182, 1154, 1713, 1208, 4816, 1175, 1389, 183, 3401, 6417, 116, 106, 488, 125, 123, 123, 123, 1257, 16419, 172, 6046, 2673, 106, 488, 125, 123, 123, 125, 1257, 3698, 1273, 23307, 1175, 1389, 183, 3401, 6417, 116, 106, 488, 125, 123, 123, 125, 1257, 10941, 1569, 25219, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 123, 126, 1257, 1808, 8973, 1357, 1288, 29683, 1382, 106, 488, 125, 123, 123, 126, 1257, 1252, 3074, 1525, 1175, 1389, 183, 3401, 6417, 116, 106, 488, 125, 123, 123, 126, 1257, 12554, 1140, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 123, 127, 1257, 1814, 30216, 1244, 1125, 1127, 260, 190, 5245, 106, 488, 125, 123, 123, 129, 1257, 1867, 3688, 1104, 106, 488, 125, 123, 123, 129, 1257, 6709, 144, 7048, 10458, 121, 133, 1202, 1462, 11180, 1186, 1540, 2128, 1217, 106, 488, 125, 123, 123, 130, 1257, 1867, 1852, 2506, 1120, 1125, 29083, 2497, 1119, 195, 186, 16385, 4891, 106, 488, 125, 123, 123, 130, 1257, 10255, 1132, 3382, 106, 488, 125, 123, 123, 131, 1257, 3985, 4206, 252, 186, 1125, 3688, 1150, 1125, 1321, 6399, 2068, 6268, 172, 106, 488, 125, 123, 123, 132, 1257, 1192, 2015, 172, 8910, 1115, 11149, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 124, 1257, 1192, 2015, 172, 8910, 1115, 11149, 106, 488, 125, 123, 124, 124, 1257, 2502, 1208, 1299, 236, 1110, 25083, 1146, 1176, 2240, 1617, 106, 488, 125, 123, 124, 125, 1257, 1643, 1198, 2752, 1186, 19274, 1175, 20982, 1839, 1141, 116, 16939, 6645, 1183, 2504, 20344, 1107, 1141, 106, 488, 125, 123, 124, 125, 1257, 1350, 2271, 1205, 2009, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 125, 1257, 7219, 1117, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 128, 1257, 9339, 1112, 1125, 8346, 1307, 13747, 106, 488, 125, 123, 124, 128, 1257, 3091, 1245, 1125, 1185, 1342, 180, 9494, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 129, 1257, 1192, 6385, 1219, 1154, 2054, 1502, 172, 106, 488, 125, 123, 124, 130, 1257, 3559, 4875, 15563, 1960, 106, 488, 125, 123, 124, 130, 1257, 1410, 22269, 4258, 11109, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 131, 1257, 1202, 1866, 2401, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 132, 1257, 20507, 1137, 8297, 1575, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 125, 125, 1257, 2502, 1208, 1127, 236, 1120, 1560, 176, 106, 106, 141, 19350, 3425, 2137, 1125, 18767, 488, 106, 488, 124, 132, 132, 123, 1257, 15783, 1656, 3740, 2053, 1187, 2972, 15824, 15956, 116, 106, 488, 124, 132, 132, 128, 120, 125, 123, 123, 127, 1257, 2769, 1128, 1180, 11305, 12924, 106, 488, 124, 132, 132, 129, 1257, 1306, 1558, 1309, 2824, 106, 488, 124, 132, 132, 129, 1257, 1192, 5920, 1575, 1202, 10205, 106, 488, 125, 123, 123, 125, 1257, 29646, 7726, 1125, 29354, 172, 106, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 1257, 3187, 1170, 1120, 1125, 12550, 1342, 10445, 106, 488, 125, 123, 123, 129, 120, 125, 123, 123, 130, 1257, 1192, 1152, 7726, 5873, 2172, 2009, 106, 488, 125, 123, 123, 130, 120, 125, 123, 124, 125, 1257, 5450, 1766, 1575, 10563, 5160, 1158, 8246, 1277, 106, 488, 125, 123, 123, 131, 1257, 1405, 14236, 16063, 106, 488, 125, 123, 123, 131, 1257, 3276, 2009, 7207, 186, 106, 106, 28119, 1109, 7683, 488, 106, 8276, 1204, 10027, 1204, 1230, 186, 488, 125, 123, 123, 127, 1125, 1158, 4020, 31262, 11350, 17482, 1256, 1158, 7585, 1125, 1158, 4726, 3187, 1170, 1120, 1125, 12550, 1342, 10445, 106, 8276, 1204, 10027, 1204, 1230, 186, 488, 125, 123, 123, 130, 1125, 1158, 4020, 31262, 11350, 17482, 1256, 1158, 11350, 17482, 1227, 3418, 1304, 15673, 1867, 1852, 2506, 1120, 8922, 1215, 29083, 2497, 1119, 195, 186, 16385, 4891, 106, 8276, 1204, 10027, 1204, 1230, 186, 488, 125, 123, 123, 131, 1256, 1158, 11350, 17482, 1125, 3985, 4206, 252, 186, 1125, 3688, 1150, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 153, 3400, 1186, 3012, 488, 124, 132, 128, 128, 106, 155, 2323, 2038, 24587, 106, 2700, 1482, 7213, 24587, 1125, 7585, 1125, 3418, 106, 24074, 1836, 24587, 1125, 7585, 106, 153, 3400, 1188, 1643, 3934, 16528, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 153, 9836, 28219, 16330, 24051, 1186, 3012, 488, 124, 132, 128, 128, 1188, 1643, 3934, 16528, 1186, 21593, 116, 1299, 1189, 28619, 4819, 13706, 4819, 24190, 1125, 7585, 1167, 22098, 2038, 13870, 16432, 106, 106, 141, 11741, 488, 106, 153, 9836, 28219, 16330, 1139, 6146, 1186, 488, 124, 132, 128, 128, 1188, 1643, 3934, 1307, 6664, 1313, 1158, 3734, 1125, 7494, 8117, 1186, 21593, 121, 1768, 1910, 1982, 1909, 8787, 1186, 26274, 119, 2585, 1527, 1281, 4438, 1188, 1158, 10254, 24885, 1167, 1317, 22083, 1125, 488, 124, 132, 130, 129, 1188, 488, 124, 132, 131, 123, 119, 1186, 2076, 2658, 3365, 26834, 1197, 8787, 1186, 20205, 1960, 1313, 1207, 5116, 1837, 1304, 160, 1228, 190, 10168, 1167, 1125, 14940, 20817, 5784, 106, 106, 2700, 16257, 106, 106, 141, 19350, 3425, 2137, 1125, 8196, 488, 106, 488, 124, 132, 132, 124, 1257, 5807, 4436, 1125, 1560, 3212, 1850, 3471, 9604, 4972, 3277, 116, 106, 488, 124, 132, 132, 126, 1257, 3743, 183, 13096, 1310, 186, 18364, 3471, 9604, 4972, 3277, 116, 106, 488, 124, 132, 132, 127, 1257, 1192, 8655, 1182, 1154, 1713, 1208, 4816, 1175, 1389, 183, 3401, 6417, 116, 106, 488, 125, 123, 123, 123, 1257, 16419, 172, 6046, 2673, 106, 488, 125, 123, 123, 125, 1257, 3698, 1273, 23307, 1175, 1389, 183, 3401, 6417, 116, 106, 488, 125, 123, 123, 125, 1257, 10941, 1569, 25219, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 123, 126, 1257, 1808, 8973, 1357, 1288, 29683, 1382, 106, 488, 125, 123, 123, 126, 1257, 1252, 3074, 1525, 1175, 1389, 183, 3401, 6417, 116, 106, 488, 125, 123, 123, 126, 1257, 12554, 1140, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 123, 127, 1257, 1814, 30216, 1244, 1125, 1127, 260, 190, 5245, 106, 488, 125, 123, 123, 129, 1257, 1867, 3688, 1104, 106, 488, 125, 123, 123, 129, 1257, 6709, 144, 7048, 10458, 121, 133, 1202, 1462, 11180, 1186, 1540, 2128, 1217, 106, 488, 125, 123, 123, 130, 1257, 1867, 1852, 2506, 1120, 1125, 29083, 2497, 1119, 195, 186, 16385, 4891, 106, 488, 125, 123, 123, 130, 1257, 10255, 1132, 3382, 106, 488, 125, 123, 123, 131, 1257, 3985, 4206, 252, 186, 1125, 3688, 1150, 1125, 1321, 6399, 2068, 6268, 172, 106, 488, 125, 123, 123, 132, 1257, 1192, 2015, 172, 8910, 1115, 11149, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 124, 1257, 1192, 2015, 172, 8910, 1115, 11149, 106, 488, 125, 123, 124, 124, 1257, 2502, 1208, 1299, 236, 1110, 25083, 1146, 1176, 2240, 1617, 106, 488, 125, 123, 124, 125, 1257, 1643, 1198, 2752, 1186, 19274, 1175, 20982, 1839, 1141, 116, 16939, 6645, 1183, 2504, 20344, 1107, 1141, 106, 488, 125, 123, 124, 125, 1257, 1350, 2271, 1205, 2009, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 125, 1257, 7219, 1117, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 128, 1257, 9339, 1112, 1125, 8346, 1307, 13747, 106, 488, 125, 123, 124, 128, 1257, 3091, 1245, 1125, 1185, 1342, 180, 9494, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 129, 1257, 1192, 6385, 1219, 1154, 2054, 1502, 172, 106, 488, 125, 123, 124, 130, 1257, 3559, 4875, 15563, 1960, 106, 488, 125, 123, 124, 130, 1257, 1410, 22269, 4258, 11109, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 131, 1257, 1202, 1866, 2401, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 124, 132, 1257, 20507, 1137, 8297, 1575, 3471, 9604, 4972, 3277, 116, 106, 488, 125, 123, 125, 125, 1257, 2502, 1208, 1127, 236, 1120, 1560, 176, 106, 106, 141, 19350, 3425, 2137, 1125, 18767, 488, 106, 488, 124, 132, 132, 123, 1257, 15783, 1656, 3740, 2053, 1187, 2972, 15824, 15956, 116, 106, 488, 124, 132, 132, 128, 120, 125, 123, 123, 127, 1257, 2769, 1128, 1180, 11305, 12924, 106, 488, 124, 132, 132, 129, 1257, 1306, 1558, 1309, 2824, 106, 488, 124, 132, 132, 129, 1257, 1192, 5920, 1575, 1202, 10205, 106, 488, 125, 123, 123, 125, 1257, 29646, 7726, 1125, 29354, 172, 106, 488, 125, 123, 123, 127, 120, 125, 123, 123, 128, 1257, 3187, 1170, 1120, 1125, 12550, 1342, 10445, 106, 488, 125, 123, 123, 129, 120, 125, 123, 123, 130, 1257, 1192, 1152, 7726, 5873, 2172, 2009, 106, 488, 125, 123, 123, 130, 120, 125, 123, 124, 125, 1257, 5450, 1766, 1575, 10563, 5160, 1158, 8246, 1277, 106, 488, 125, 123, 123, 131, 1257, 1405, 14236, 16063, 106, 488, 125, 123, 123, 131, 1257, 3276, 2009, 7207, 186, 106, 106, 28119, 1109, 7683, 488, 106, 8276, 1204, 10027, 1204, 1230, 186, 488, 125, 123, 123, 127, 1125, 1158, 4020, 31262, 11350, 17482, 1256, 1158, 7585, 1125, 1158, 4726, 3187, 1170, 1120, 1125, 12550, 1342, 10445, 106, 8276, 1204, 10027, 1204, 1230, 186, 488, 125, 123, 123, 130, 1125, 1158, 4020, 31262, 11350, 17482, 1256, 1158, 11350, 17482, 1227, 3418, 1304, 15673, 1867, 1852, 2506, 1120, 8922, 1215, 29083, 2497, 1119, 195, 186, 16385, 4891, 106, 8276, 1204, 10027, 1204, 1230, 186, 488, 125, 123, 123, 131, 1256, 1158, 11350, 17482, 1125, 3985, 4206, 252, 186, 1125, 3688, 1150, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 153, 3400, 1186, 3012, 488, 124, 132, 128, 128, 106, 155, 2323, 2038, 24587, 106, 2700, 1482, 7213, 24587, 1125, 7585, 1125, 3418, 106, 24074, 1836, 24587, 1125, 7585, 106, 153, 3400, 1188, 1643, 3934, 16528, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 155, 2565, 1107, 1293, 1635, 2289, 1299, 1189, 19782, 8403, 1125, 11243, 5953, 17572, 1167, 1125, 11243, 5953, 10844, 1346, 15974, 1186, 488, 124, 132, 132, 126, 1215, 1170, 6792, 179, 1374, 13934, 7129, 1657, 1808, 11243, 5953, 7129, 1107, 2004, 1318, 4438, 7925, 8640, 1167, 2004, 1158, 4803, 1348, 9033, 2519, 3828, 20869, 1389, 1167, 25314, 1197, 12373, 3647, 3077, 1186, 6450, 1227, 6141, 121, 1548, 7042, 1170, 1408, 13970, 1299, 1158, 1252, 7281, 106, 106, 30609, 106, 106, 140, 7662, 3365, 1288, 15458, 7129, 1107, 1293, 1635, 2289, 1186, 488, 124, 132, 132, 126, 119, 13934, 7129, 1107, 1299, 1189, 6792, 179, 1374, 6304, 18479, 1167, 7556, 1199, 1197, 17913, 1346, 1167, 2534, 1199, 2335, 18786, 1188, 1248, 5200, 1182, 1659, 1313, 17902, 1125, 2482, 4524, 121, 1808, 8807, 1485, 1125, 1909, 5142, 13102, 7306, 1129, 3042, 1256, 5362, 1561, 5865, 30807, 1167, 1256, 11080, 1107, 1158, 28480, 1252, 7281, 106, 106, 3562, 7129, 1107, 28172, 1548, 1663, 1125, 13934, 7129, 1107, 2391, 1125, 1158, 10533, 1125, 1158, 28172, 1299, 1125, 5362, 1318, 28480, 1408, 20869, 1309, 1207, 16085, 1167, 1408, 5124, 1188, 3227, 1657, 13934, 7129, 1107, 1110, 16098, 8823, 1124, 1419, 1125, 1158, 11243, 16303, 11781, 1309, 15656, 1857, 20492, 1712, 8135, 7723, 244, 1227, 1594, 1125, 11638, 121, 1643, 28172, 1299, 30647, 2335, 5773, 1186, 23674, 1685, 1958, 191, 2519, 1677, 1159, 20520, 1125, 25620, 1125, 20917, 3143, 1125, 1158, 16811, 1167, 11697, 18996, 1158, 10213, 1176, 4355, 31722, 1318, 9083, 5147, 1180, 1244, 2178, 7017, 1548, 1127, 3383, 1299, 1844, 1125, 6141, 1186, 2808, 244, 1313, 1125, 1158, 2022, 1314, 3391, 17395, 1208, 1167, 1125, 1158, 25620, 1125, 20917, 121, 1643, 14072, 1299, 9562, 1188, 2399, 1186, 30533, 7664, 1189, 25065, 24328, 1167, 20212, 4974, 4060, 10254, 2856, 2445, 1125, 1982, 1186, 9083, 1309, 1170, 1127, 3383, 1125, 1158, 28480, 1288, 2666, 1382, 3257, 2388, 1125, 4428, 1255, 19232, 1167, 1125, 1158, 11757, 121, 1778, 11346, 1170, 10972, 1125, 1158, 28172, 1299, 2442, 30417, 488, 125, 119, 130, 1498, 13821, 2666, 1906, 1408, 11231, 11471, 28480, 4393, 3858, 121, 106, 106, 17971, 4041, 1594, 8796, 2399, 1299, 7925, 1303, 1215, 15318, 1188, 1158, 2768, 1125, 6476, 190, 24165, 3471, 1301, 3051, 1253, 26665, 2288, 15820, 116, 1167, 1125, 2195, 3051, 1113, 3649, 20694, 244, 2225, 9310, 1357, 17272, 1189, 1594, 1408, 9993, 1197, 11243, 5953, 24778, 13760, 1814, 1497, 1178, 1793, 2856, 1317, 17913, 2038, 1125, 1917, 6015, 1125, 6113, 1188, 24858, 2944, 1723, 1527, 1299, 2072, 2638, 1125, 19829, 1207, 2069, 2191, 1541, 1186, 8969, 1256, 1207, 23155, 6496, 11660, 2537, 121, 1548, 6476, 1113, 3649, 20694, 244, 2225, 3415, 1110, 1913, 16098, 1215, 15656, 1857, 20492, 1712, 1256, 1158, 28172, 2040, 1207, 6476, 190, 1306, 5821, 3923, 1107, 8337, 1256, 1158, 28172, 6096, 3519, 1215, 6660, 24338, 17940, 2086, 2306, 1234, 1300, 1197, 9744, 3495, 5996, 4651, 29707, 1318, 6311, 13964, 1188, 3862, 1125, 488, 124, 132, 132, 132, 119, 1188, 1158, 3011, 1125, 7205, 2942, 11931, 1571, 7790, 121, 1808, 2760, 4542, 14164, 1153, 9612, 1160, 1256, 1158, 1252, 3733, 2004, 3747, 1408, 1125, 23928, 5373, 9468, 1167, 1318, 1408, 3828, 10979, 1125, 9665, 2596, 106, 106, 1686, 488, 124, 132, 132, 132, 119, 28995, 1158, 4052, 1125, 1158, 16565, 1252, 3733, 1188, 5999, 1362, 7762, 17177, 1457, 3450, 1281, 20235, 1186, 488, 125, 123, 123, 131, 119, 1207, 10844, 1104, 26349, 1313, 1158, 4726, 8559, 195, 145, 7281, 106, 106, 157, 8453, 1653, 488, 125, 123, 123, 126, 119, 1594, 2180, 1793, 9516, 10319, 1125, 11243, 5953, 1188, 3569, 10397, 13045, 2071, 20031, 1313, 23712, 1669, 1109, 5596, 1256, 1318, 8126, 18596, 9598, 11027, 25585, 5610, 5130, 1623, 1125, 9744, 1508, 3851, 3794, 2487, 4345, 1508, 3519, 1186, 3187, 4654, 106, 106, 1686, 488, 125, 123, 123, 132, 119, 3569, 10397, 21166, 1299, 24511, 1188, 16158, 22290, 1346, 1189, 5858, 1836, 24832, 16185, 1216, 3375, 1125, 2493, 7165, 106, 106, 5602, 7846, 2981, 1785, 106, 106, 158, 2974, 28172, 28172, 8719, 5811, 3758, 1344, 28172, 8719, 5811, 28172, 6291, 1250, 176, 28172, 19916, 28172, 1922, 3995, 106, 106, 158, 2974, 1266, 1286, 28172, 8227, 1474, 1248, 145, 130, 125, 125, 1248, 145, 129, 125, 125, 1248, 145, 128, 125, 125, 106, 106, 158, 2974, 8559, 195, 145, 1269, 1222, 145, 131, 125, 127, 1222, 145, 131, 127, 125, 1222, 28585, 161, 130, 488, 130, 17177, 1104, 106, 106, 158, 2974, 8559, 195, 145, 1269, 8227, 1474, 1222, 145, 124, 123, 125, 127, 1222, 145, 130, 125, 127, 1222, 145, 129, 125, 127, 1222, 145, 128, 125, 127, 1222, 145, 128, 125, 126, 106, 106, 158, 2974, 8559, 195, 145, 1269, 14109, 14109, 124, 123, 128, 14109, 124, 123, 123, 14109, 131, 128, 14109, 131, 123, 14109, 130, 123, 14109, 129, 123, 14109, 126, 128, 14109, 126, 123, 106, 106, 5602, 7846, 11268, 1861, 1222, 145, 3354, 131, 127, 125, 2571, 14283, 3032, 1126, 194, 106, 106, 152, 19486, 2624, 10184, 1189, 11314, 7129, 1107, 106, 106, 4650, 14283, 3032, 1126, 194, 16572, 6660, 152, 2528, 180, 1863, 176, 1923, 13089, 1112, 4294, 1198, 3291, 1105, 1518, 4000, 15120, 1374, 29276, 1105, 1863, 1176, 1198, 2089, 1863, 23786, 1121, 16972, 196, 5371, 3711, 12426, 18651, 1220, 2443, 3835, 1376, 9780, 116, 488, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 161, 2991, 4134, 106, 106, 28870, 5825, 106, 106, 145, 15958, 1199, 1125, 11243, 5953, 29562, 1125, 23267, 11314, 1366, 4716, 1594, 9209, 1571, 9864, 29562, 16512, 1186, 488, 124, 132, 132, 126, 32001, 488, 106, 32000, 20036, 106, 155, 2565, 1107, 1293, 1635, 2289, 1239, 1151, 4950, 10595, 1107, 1161, 12382, 11243, 2289, 1171, 10844, 17913, 1285, 20883, 1147, 488, 124, 132, 132, 126, 1449, 6792, 179, 1374, 13934, 7129, 1657, 7129, 1107, 11243, 2289, 1537, 1110, 24835, 1761, 10155, 1171, 1393, 5388, 1226, 3026, 4942, 9767, 1171, 3068, 28619, 13131, 1147, 4125, 1163, 10920, 121, 1410, 2481, 13782, 3234, 1239, 1135, 1252, 7281, 106, 106, 24436, 106, 106, 18593, 3218, 1149, 7129, 1107, 1293, 1635, 2289, 1147, 488, 124, 132, 132, 126, 119, 13934, 7129, 1107, 1463, 1110, 6792, 179, 1374, 6540, 1171, 18453, 1149, 11243, 2289, 1147, 1765, 23515, 1147, 1248, 5200, 1182, 1659, 2482, 4524, 121, 4390, 27035, 1446, 1765, 9777, 17818, 2667, 1163, 2819, 1765, 3022, 4571, 1171, 11080, 1135, 28172, 11243, 13649, 106, 106, 1598, 7129, 1107, 28172, 106, 150, 1108, 7129, 9850, 8603, 1147, 3195, 1149, 1135, 28172, 1463, 1163, 3630, 1110, 1115, 20151, 1171, 14687, 1163, 2489, 11243, 13649, 1410, 20650, 1161, 1135, 17913, 1463, 8794, 1449, 13934, 7129, 1659, 2884, 15656, 1857, 20492, 1712, 5868, 3660, 1161, 1135, 6329, 121, 1410, 28172, 1602, 1110, 10920, 1108, 5111, 14157, 1324, 1110, 27692, 11785, 1161, 15806, 10234, 1107, 1163, 9180, 1108, 1341, 1171, 7295, 2019, 10213, 1176, 6357, 9854, 1110, 5035, 1161, 1279, 1180, 1347, 2178, 3847, 1410, 23293, 1239, 3062, 1161, 10920, 30458, 1147, 6181, 17395, 1432, 1109, 1171, 15806, 10234, 1657, 1410, 1131, 2360, 5691, 1239, 3062, 1161, 30533, 2114, 1110, 4942, 9767, 1171, 10330, 5647, 121, 2192, 10254, 1959, 28570, 1302, 1135, 17913, 23293, 1239, 1375, 16308, 1449, 2810, 1176, 1406, 1171, 12595, 121, 30128, 1135, 7915, 1161, 1135, 28172, 1239, 16289, 488, 125, 121, 130, 1498, 13821, 3120, 1115, 20151, 2095, 1110, 19787, 11243, 13649, 106, 106, 1428, 7375, 1161, 6329, 119, 1135, 28172, 8436, 3251, 15449, 6680, 13850, 11555, 26665, 18923, 4061, 1500, 116, 1171, 1113, 4936, 4970, 5882, 4061, 1500, 1163, 9723, 1110, 6329, 19618, 1163, 24778, 1310, 17913, 1297, 1192, 9847, 8647, 1135, 17913, 1267, 1163, 9847, 2910, 1135, 2197, 119, 1663, 1341, 1239, 1959, 2638, 1163, 4342, 3251, 29355, 7064, 4704, 1226, 23155, 4264, 121, 1410, 1113, 4936, 4970, 5882, 6680, 1755, 1463, 8794, 1449, 15656, 1857, 20492, 1712, 1226, 1135, 28172, 134, 1135, 1306, 5821, 3923, 1107, 6680, 13850, 2629, 1226, 1135, 28172, 2025, 11992, 1449, 6660, 24338, 17940, 2086, 4558, 1238, 9087, 16550, 1192, 2423, 14612, 1161, 6680, 13850, 1463, 15157, 1147, 488, 124, 132, 132, 132, 1163, 5002, 6850, 1324, 1135, 5379, 1238, 1457, 1410, 1624, 6680, 1755, 1285, 16665, 8794, 1226, 1135, 1252, 3733, 1537, 1792, 7515, 12892, 1111, 3807, 1171, 7843, 4342, 8573, 1657, 106, 106, 1428, 488, 124, 132, 132, 132, 119, 1135, 4052, 1161, 1135, 28172, 2306, 1285, 1324, 3663, 1329, 5992, 3470, 1285, 8492, 121, 1988, 15200, 1147, 488, 125, 123, 123, 131, 119, 1324, 10844, 1104, 22648, 1147, 1135, 8559, 195, 145, 1269, 1714, 6099, 106, 106, 3742, 9408, 106, 1428, 488, 125, 123, 123, 126, 119, 1135, 4571, 1463, 8420, 1163, 3569, 10397, 13045, 2071, 4558, 1147, 12416, 1109, 5596, 1449, 2019, 2050, 2111, 1226, 1151, 3167, 1120, 23135, 6386, 121, 11484, 17234, 2017, 3234, 1177, 6852, 1537, 2023, 22842, 2754, 1957, 1161, 1758, 1393, 11992, 1147, 10275, 2036, 106, 106, 1428, 488, 125, 123, 123, 132, 119, 3569, 10397, 21166, 1463, 8420, 1163, 16158, 22290, 1346, 1110, 14742, 2328, 4893, 1121, 1161, 10709, 11314, 1297, 106, 106, 13675, 5769, 1785, 106, 106, 145, 1269, 13690, 106, 120, 28172, 8719, 5811, 3758, 1344, 106, 120, 28172, 8719, 5811, 106, 120, 28172, 6291, 1250, 176, 106, 120, 28172, 19916, 106, 120, 28172, 1922, 3995, 106, 106, 153, 1286, 28172, 13690, 106, 120, 8227, 1474, 1248, 145, 130, 125, 125, 106, 120, 8227, 1474, 1248, 145, 129, 125, 125, 106, 120, 8227, 1474, 1248, 145, 128, 125, 125, 106, 106, 10492, 195, 145, 1269, 13690, 106, 120, 1222, 145, 131, 125, 127, 106, 120, 1222, 145, 131, 127, 125, 106, 120, 1222, 28585, 161, 130, 488, 130, 2059, 1726, 106, 106, 10492, 195, 145, 1269, 8227, 1474, 13690, 106, 120, 1222, 145, 124, 123, 125, 127, 106, 120, 1222, 145, 130, 125, 127, 106, 120, 1222, 145, 129, 125, 127, 106, 120, 1222, 145, 128, 125, 127, 106, 120, 1222, 145, 128, 125, 126, 106, 106, 10492, 195, 145, 1269, 13690, 106, 120, 14109, 106, 120, 14109, 124, 123, 128, 106, 120, 14109, 124, 123, 123, 106, 120, 14109, 131, 128, 106, 120, 14109, 131, 123, 106, 120, 14109, 130, 123, 106, 120, 14109, 129, 123, 106, 120, 14109, 126, 128, 106, 120, 14109, 126, 123, 106, 106, 15772, 1861, 5769, 1785, 106, 120, 1222, 145, 3354, 131, 127, 125, 2571, 14283, 3032, 1126, 194, 106, 106, 152, 1153, 18200, 3068, 7129, 1107, 14030, 106, 120, 2571, 14283, 3032, 1126, 194, 106, 120, 16572, 6660, 152, 2528, 180, 106, 120, 1863, 176, 1923, 13089, 1112, 4294, 106, 120, 1198, 3291, 1105, 1518, 4000, 15120, 1374, 106, 120, 29276, 1105, 1863, 1176, 106, 120, 1198, 2089, 1863, 23786, 1121, 106, 120, 16972, 196, 5371, 3711, 106, 120, 12426, 18651, 1220, 2443, 3835, 1376, 9780, 116, 488, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 155, 2565, 1107, 1293, 1635, 2289, 1239, 1151, 4950, 10595, 1107, 1161, 12382, 11243, 2289, 1171, 10844, 17913, 1285, 20883, 1147, 488, 124, 132, 132, 126, 1449, 6792, 179, 1374, 13934, 7129, 1657, 7129, 1107, 11243, 2289, 1537, 1110, 24835, 1761, 10155, 1171, 1393, 5388, 1226, 3026, 4942, 9767, 1171, 3068, 28619, 13131, 1147, 4125, 1163, 10920, 121, 1410, 2481, 13782, 3234, 1239, 1135, 1252, 7281, 106, 106, 24436, 106, 106, 18593, 3218, 1149, 7129, 1107, 1293, 1635, 2289, 1147, 488, 124, 132, 132, 126, 119, 13934, 7129, 1107, 1463, 1110, 6792, 179, 1374, 6540, 1171, 18453, 1149, 11243, 2289, 1147, 1765, 23515, 1147, 1248, 5200, 1182, 1659, 2482, 4524, 121, 4390, 27035, 1446, 1765, 9777, 17818, 2667, 1163, 2819, 1765, 3022, 4571, 1171, 11080, 1135, 28172, 11243, 13649, 106, 106, 1598, 7129, 1107, 28172, 106, 150, 1108, 7129, 9850, 8603, 1147, 3195, 1149, 1135, 28172, 1463, 1163, 3630, 1110, 1115, 20151, 1171, 14687, 1163, 2489, 11243, 13649, 1410, 20650, 1161, 1135, 17913, 1463, 8794, 1449, 13934, 7129, 1659, 2884, 15656, 1857, 20492, 1712, 5868, 3660, 1161, 1135, 6329, 121, 1410, 28172, 1602, 1110, 10920, 1108, 5111, 14157, 1324, 1110, 27692, 11785, 1161, 15806, 10234, 1107, 1163, 9180, 1108, 1341, 1171, 7295, 2019, 10213, 1176, 6357, 9854, 1110, 5035, 1161, 1279, 1180, 1347, 2178, 3847, 1410, 23293, 1239, 3062, 1161, 10920, 30458, 1147, 6181, 17395, 1432, 1109, 1171, 15806, 10234, 1657, 1410, 1131, 2360, 5691, 1239, 3062, 1161, 30533, 2114, 1110, 4942, 9767, 1171, 10330, 5647, 121, 2192, 10254, 1959, 28570, 1302, 1135, 17913, 23293, 1239, 1375, 16308, 1449, 2810, 1176, 1406, 1171, 12595, 121, 30128, 1135, 7915, 1161, 1135, 28172, 1239, 16289, 488, 125, 121, 130, 1498, 13821, 3120, 1115, 20151, 2095, 1110, 19787, 11243, 13649, 106, 106, 1428, 7375, 1161, 6329, 119, 1135, 28172, 8436, 3251, 15449, 6680, 13850, 11555, 26665, 18923, 4061, 1500, 116, 1171, 1113, 4936, 4970, 5882, 4061, 1500, 1163, 9723, 1110, 6329, 19618, 1163, 24778, 1310, 17913, 1297, 1192, 9847, 8647, 1135, 17913, 1267, 1163, 9847, 2910, 1135, 2197, 119, 1663, 1341, 1239, 1959, 2638, 1163, 4342, 3251, 29355, 7064, 4704, 1226, 23155, 4264, 121, 1410, 1113, 4936, 4970, 5882, 6680, 1755, 1463, 8794, 1449, 15656, 1857, 20492, 1712, 1226, 1135, 28172, 134, 1135, 1306, 5821, 3923, 1107, 6680, 13850, 2629, 1226, 1135, 28172, 2025, 11992, 1449, 6660, 24338, 17940, 2086, 4558, 1238, 9087, 16550, 1192, 2423, 14612, 1161, 6680, 13850, 1463, 15157, 1147, 488, 124, 132, 132, 132, 1163, 5002, 6850, 1324, 1135, 5379, 1238, 1457, 1410, 1624, 6680, 1755, 1285, 16665, 8794, 1226, 1135, 1252, 3733, 1537, 1792, 7515, 12892, 1111, 3807, 1171, 7843, 4342, 8573, 1657, 106, 106, 1428, 488, 124, 132, 132, 132, 119, 1135, 4052, 1161, 1135, 28172, 2306, 1285, 1324, 3663, 1329, 5992, 3470, 1285, 8492, 121, 1988, 15200, 1147, 488, 125, 123, 123, 131, 119, 1324, 10844, 1104, 22648, 1147, 1135, 8559, 195, 145, 1269, 1714, 6099, 106, 106, 3742, 9408, 106, 1428, 488, 125, 123, 123, 126, 119, 1135, 4571, 1463, 8420, 1163, 3569, 10397, 13045, 2071, 4558, 1147, 12416, 1109, 5596, 1449, 2019, 2050, 2111, 1226, 1151, 3167, 1120, 23135, 6386, 121, 11484, 17234, 2017, 3234, 1177, 6852, 1537, 2023, 22842, 2754, 1957, 1161, 1758, 1393, 11992, 1147, 10275, 2036, 106, 106, 1428, 488, 125, 123, 123, 132, 119, 3569, 10397, 21166, 1463, 8420, 1163, 16158, 22290, 1346, 1110, 14742, 2328, 4893, 1121, 1161, 10709, 11314, 1297, 106, 106, 13675, 5769, 1785, 106, 106, 145, 1269, 13690, 106, 120, 28172, 8719, 5811, 3758, 1344, 106, 120, 28172, 8719, 5811, 106, 120, 28172, 6291, 1250, 176, 106, 120, 28172, 19916, 106, 120, 28172, 1922, 3995, 106, 106, 153, 1286, 28172, 13690, 106, 120, 8227, 1474, 1248, 145, 130, 125, 125, 106, 120, 8227, 1474, 1248, 145, 129, 125, 125, 106, 120, 8227, 1474, 1248, 145, 128, 125, 125, 106, 106, 10492, 195, 145, 1269, 13690, 106, 120, 1222, 145, 131, 125, 127, 106, 120, 1222, 145, 131, 127, 125, 106, 120, 1222, 28585, 161, 130, 488, 130, 2059, 1726, 106, 106, 10492, 195, 145, 1269, 8227, 1474, 13690, 106, 120, 1222, 145, 124, 123, 125, 127, 106, 120, 1222, 145, 130, 125, 127, 106, 120, 1222, 145, 129, 125, 127, 106, 120, 1222, 145, 128, 125, 127, 106, 120, 1222, 145, 128, 125, 126, 106, 106, 10492, 195, 145, 1269, 13690, 106, 120, 14109, 106, 120, 14109, 124, 123, 128, 106, 120, 14109, 124, 123, 123, 106, 120, 14109, 131, 128, 106, 120, 14109, 131, 123, 106, 120, 14109, 130, 123, 106, 120, 14109, 129, 123, 106, 120, 14109, 126, 128, 106, 120, 14109, 126, 123, 106, 106, 15772, 1861, 5769, 1785, 106, 120, 1222, 145, 3354, 131, 127, 125, 2571, 14283, 3032, 1126, 194, 106, 106, 152, 1153, 18200, 3068, 7129, 1107, 14030, 106, 120, 2571, 14283, 3032, 1126, 194, 106, 120, 16572, 6660, 152, 2528, 180, 106, 120, 1863, 176, 1923, 13089, 1112, 4294, 106, 120, 1198, 3291, 1105, 1518, 4000, 15120, 1374, 106, 120, 29276, 1105, 1863, 1176, 106, 120, 1198, 2089, 1863, 23786, 1121, 106, 120, 16972, 196, 5371, 3711, 106, 120, 12426, 18651, 1220, 2443, 3835, 1376, 9780, 116, 488, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 2606, 11979, 1438, 2397, 4970, 1299, 1170, 1408, 17275, 11979, 1438, 30118, 1188, 4550, 2782, 1913, 5391, 244, 1313, 1170, 11752, 11190, 7758, 1227, 2151, 1125, 5588, 11092, 1469, 488, 131, 132, 123, 1166, 155, 2036, 2499, 1203, 1170, 11979, 1438, 3335, 5245, 1110, 21082, 244, 1909, 1152, 1610, 1125, 488, 488, 125, 131, 123, 7275, 7921, 7080, 28328, 1300, 8826, 4826, 1362, 488, 488, 126, 125, 123, 7275, 7921, 1300, 1318, 10113, 121, 1548, 1874, 2397, 4970, 1110, 1913, 9830, 1568, 1197, 19607, 1125, 15351, 1125, 11979, 3807, 4202, 1146, 1541, 24568, 1215, 1282, 27002, 29110, 6255, 5549, 5907, 106, 106, 224, 25526, 29110, 6255, 488, 106, 106, 4298, 6233, 1125, 4062, 2365, 13679, 4528, 1110, 1913, 1256, 1158, 3453, 2768, 5391, 1303, 1170, 488, 125, 126, 2584, 1167, 7354, 1158, 1275, 3156, 4202, 27562, 488, 123, 127, 145, 1170, 488, 125, 128, 2584, 1188, 3997, 488, 126, 130, 123, 7275, 1188, 23057, 1125, 21375, 2564, 15252, 1571, 10636, 3785, 121, 1643, 1275, 3156, 20751, 172, 2079, 1271, 13469, 2059, 1506, 120, 13469, 1667, 1186, 1999, 1343, 1462, 12452, 4974, 3450, 2985, 1169, 2476, 1303, 11979, 1438, 30118, 2397, 4970, 3615, 3015, 1158, 15885, 1227, 11752, 11190, 7758, 1357, 4113, 1188, 1318, 3788, 2752, 4202, 27562, 1313, 29281, 1125, 1173, 2949, 1187, 3441, 1358, 2443, 116, 1186, 1622, 1125, 7185, 1170, 488, 125, 129, 2584, 121, 106, 106, 2606, 488, 125, 130, 31318, 2397, 4970, 1281, 3146, 172, 7581, 1167, 1186, 1622, 1125, 7185, 1971, 1343, 1125, 5148, 1283, 19627, 1912, 1125, 6964, 488, 124, 1175, 1416, 18199, 1125, 1173, 2949, 1187, 3441, 1358, 2443, 1576, 1198, 2634, 1170, 488, 125, 131, 31318, 2397, 4970, 3618, 12669, 1594, 5146, 22496, 16610, 1469, 1197, 1152, 1610, 1125, 488, 488, 126, 125, 123, 7275, 7921, 7080, 28328, 1300, 8826, 4826, 1167, 1318, 11092, 13676, 1125, 488, 131, 132, 123, 1166, 155, 2036, 4060, 11092, 1186, 4014, 1370, 1170, 1408, 17275, 11979, 1438, 30118, 1125, 10722, 119, 2183, 10844, 1554, 30996, 3794, 1167, 1170, 1408, 19846, 1186, 14334, 1125, 1271, 31383, 11752, 11190, 20449, 13469, 121, 4060, 11092, 1299, 11103, 1189, 28577, 1844, 3702, 1158, 4403, 1125, 3743, 14777, 1105, 18848, 6000, 6234, 1357, 20566, 1158, 12029, 1197, 1152, 1610, 1469, 1158, 11092, 2630, 1154, 3476, 1167, 2081, 1318, 4946, 3323, 7017, 106, 106, 29673, 488, 125, 132, 2584, 1317, 488, 125, 2749, 119, 2397, 4970, 1288, 1281, 14038, 8247, 172, 1309, 1996, 119, 21298, 1199, 1189, 28674, 1313, 1170, 4061, 1197, 30838, 3023, 2134, 2383, 2944, 1167, 9567, 10103, 17273, 1160, 1125, 2076, 19597, 6957, 1548, 11979, 1438, 1931, 172, 1300, 3171, 20403, 1125, 1158, 10660, 1125, 16086, 1190, 192, 1197, 20403, 5308, 29185, 7542, 1816, 4927, 121, 1548, 488, 126, 2749, 119, 1170, 4367, 6741, 1108, 21141, 1594, 17480, 2121, 1816, 2768, 2079, 1170, 18762, 17778, 1768, 28609, 1154, 11103, 1189, 1408, 6525, 1116, 1120, 2961, 1160, 1197, 1152, 1610, 1186, 30804, 1167, 1318, 11757, 1125, 6300, 1125, 1158, 4592, 1408, 13281, 1468, 1440, 1357, 16267, 172, 14934, 5210, 106, 106, 165, 4970, 27296, 1343, 1318, 1275, 3156, 4202, 27562, 15906, 1170, 488, 129, 2749, 1188, 488, 130, 130, 123, 7275, 1317, 18762, 13469, 1125, 22120, 2433, 1252, 1176, 181, 3266, 14715, 1207, 15162, 1104, 11979, 1105, 2097, 15935, 1894, 1203, 1473, 1170, 2076, 2574, 3817, 1527, 1971, 1343, 1189, 11979, 1438, 8840, 1128, 2248, 1926, 121, 106, 106, 148, 2402, 18089, 488, 106, 106, 2606, 11979, 1438, 2397, 4970, 5441, 1382, 1919, 3134, 1125, 4815, 1104, 18636, 2137, 1723, 1527, 1110, 11103, 7208, 244, 3171, 20403, 1469, 1318, 5740, 12808, 1125, 488, 124, 488, 123, 123, 123, 30926, 1808, 1113, 4505, 15591, 2004, 1913, 25052, 1300, 28723, 1125, 1198, 2461, 1273, 1575, 1357, 1110, 26342, 1170, 9251, 1227, 7144, 1125, 1282, 26131, 1125, 2397, 186, 2596, 1808, 2022, 7256, 2004, 24673, 2254, 1238, 1208, 1125, 3788, 2752, 1125, 488, 128, 1188, 488, 129, 23882, 25869, 3767, 2864, 29586, 2009, 30260, 195, 14855, 2004, 1913, 13390, 21501, 1167, 1207, 14083, 1275, 1607, 1672, 1158, 16681, 1573, 1162, 1856, 2909, 5907, 5240, 1244, 1667, 1300, 28723, 2985, 21988, 2647, 12884, 1362, 8355, 5012, 1167, 1317, 2864, 2069, 20022, 2004, 1913, 4810, 1242, 1234, 1215, 1207, 2164, 1190, 1297, 14664, 2451, 1890, 18925, 1238, 1288, 22145, 5969, 11251, 1125, 12835, 1207, 11411, 4716, 11278, 17843, 1313, 1207, 25809, 1408, 7513, 1234, 7542, 1158, 3788, 2752, 121, 106, 106, 15531, 28723, 23066, 1178, 1810, 488, 132, 123, 2199, 1197, 14855, 1508, 9567, 1136, 1473, 1536, 1551, 1104, 1167, 488, 130, 123, 2199, 1197, 17931, 1883, 2004, 1913, 12252, 6002, 1808, 12653, 2004, 11103, 11708, 3921, 1469, 28723, 7542, 1318, 6360, 121, 10589, 192, 26201, 2985, 1147, 1414, 1303, 1215, 9179, 1125, 4592, 1167, 1207, 11411, 2004, 3294, 1113, 11889, 1313, 2770, 8650, 1297, 21891, 23130, 1288, 2985, 7803, 244, 1313, 1207, 20403, 1252, 1176, 9827, 2585, 1207, 1152, 1610, 10531, 12669, 1309, 488, 124, 123, 123, 7275, 7921, 1188, 1671, 1141, 17368, 1469, 1197, 27690, 2137, 1188, 488, 124, 126, 123, 7275, 7921, 1188, 22120, 3266, 106, 106, 216, 4262, 1125, 1594, 5640, 119, 1170, 1874, 2397, 4970, 1110, 1913, 9830, 1568, 1197, 19607, 1125, 15351, 1125, 11979, 3807, 4202, 1146, 1541, 24568, 1215, 1282, 27002, 29110, 6255, 5549, 5907, 32001, 488, 106, 32000, 20036, 106, 142, 6770, 1438, 2397, 4970, 1239, 1135, 2481, 17275, 30118, 11979, 1438, 5677, 16591, 1147, 1135, 5343, 18815, 1147, 7375, 1161, 5338, 3988, 1324, 1110, 12687, 1161, 488, 131, 132, 123, 1166, 155, 2036, 13891, 1165, 6770, 1438, 3335, 5245, 30572, 2019, 1114, 1502, 7736, 11982, 190, 1161, 488, 125, 131, 123, 7275, 7921, 2060, 5052, 4826, 1329, 488, 126, 125, 123, 7275, 7921, 2060, 1704, 10113, 121, 1410, 2220, 2397, 4970, 1602, 2023, 13979, 1446, 1135, 23027, 1161, 6061, 1226, 5271, 30118, 11979, 3807, 1449, 1135, 5055, 7360, 176, 1121, 6898, 10118, 21077, 106, 106, 2812, 3179, 18203, 106, 106, 2439, 5457, 1161, 13679, 24457, 4062, 2365, 1463, 1940, 16591, 1238, 7262, 488, 125, 126, 1171, 7905, 1198, 2248, 1926, 1867, 3156, 488, 123, 127, 145, 1238, 7262, 488, 125, 128, 119, 16289, 488, 126, 130, 123, 7275, 19718, 1161, 21375, 2564, 15252, 1147, 10636, 3785, 121, 1410, 27894, 1106, 8868, 1427, 12961, 2059, 3297, 14654, 2884, 19597, 4383, 2241, 1988, 1463, 1169, 2476, 4474, 1296, 1198, 2248, 1926, 1165, 6770, 1438, 2397, 4970, 1175, 6024, 1149, 1163, 5343, 18815, 15885, 119, 1758, 27156, 1163, 1110, 30118, 19747, 1238, 1135, 1173, 2949, 1187, 3441, 1358, 2443, 10120, 116, 8322, 1238, 7262, 488, 125, 129, 121, 106, 106, 3466, 7262, 488, 125, 130, 119, 2397, 4970, 28098, 9828, 1171, 1449, 1135, 2283, 1161, 1135, 2954, 2055, 5180, 1110, 30204, 488, 124, 20176, 1766, 2988, 4289, 2949, 1187, 3441, 1358, 2443, 10120, 1576, 27940, 1238, 7262, 488, 125, 131, 119, 2397, 4970, 13372, 2019, 21220, 1536, 10944, 1324, 1114, 1502, 7736, 11982, 190, 1161, 488, 126, 125, 123, 7275, 7921, 2060, 5052, 4826, 1171, 1110, 8677, 12687, 1161, 488, 131, 132, 123, 1166, 155, 2036, 2192, 12687, 3062, 1341, 1135, 2481, 17275, 30118, 11979, 1438, 1147, 5517, 5232, 1543, 2306, 6796, 1171, 1135, 2481, 12390, 7742, 1161, 1135, 10537, 14654, 18815, 1350, 1159, 6871, 6067, 1413, 12687, 1239, 1151, 22876, 4558, 1238, 1135, 3743, 14777, 1105, 18848, 13113, 29288, 1758, 1826, 2026, 11982, 9712, 1163, 8677, 5338, 3988, 1171, 1375, 1110, 3152, 7744, 3041, 106, 106, 6937, 7262, 488, 125, 132, 1163, 6324, 488, 125, 119, 2397, 4970, 11085, 2763, 3819, 3476, 5153, 24214, 1110, 19255, 5494, 18950, 119, 1171, 20642, 1355, 1110, 17523, 19597, 8389, 1410, 11979, 1438, 8576, 2060, 5057, 13798, 190, 1147, 1135, 16086, 1190, 192, 10660, 1161, 1135, 8431, 29185, 31812, 3545, 1413, 5529, 121, 2502, 6324, 488, 126, 119, 1135, 2935, 8492, 10950, 7080, 22629, 119, 1663, 20142, 1156, 28731, 14266, 17274, 11982, 2293, 1124, 1171, 9840, 1107, 14695, 6300, 9542, 30769, 14024, 7837, 5081, 106, 106, 165, 4970, 1169, 17348, 1156, 2127, 1110, 30118, 27894, 5756, 1238, 6324, 488, 129, 119, 488, 130, 130, 123, 7275, 10553, 14654, 1161, 22120, 2433, 1252, 5275, 3266, 3454, 11979, 1438, 1294, 8377, 2025, 9970, 13448, 1135, 2994, 2954, 2043, 1341, 8522, 1156, 2127, 1151, 8840, 1128, 2248, 1926, 11979, 21156, 106, 106, 148, 2402, 18089, 106, 106, 142, 6770, 1438, 2397, 4970, 2876, 1375, 2440, 4985, 25652, 1663, 16308, 5057, 13798, 190, 1324, 1110, 3983, 5740, 1161, 488, 124, 119, 123, 123, 123, 16817, 1410, 20276, 14315, 1463, 15926, 1238, 1198, 2461, 1273, 1575, 9641, 119, 1758, 14834, 1135, 14194, 8101, 9251, 1161, 2397, 186, 2596, 3079, 7256, 9517, 1110, 19747, 1300, 1315, 1161, 488, 128, 1163, 488, 129, 2367, 2996, 3743, 4674, 1281, 1672, 196, 21642, 2025, 30505, 1171, 12317, 12597, 1135, 1971, 1573, 1162, 1296, 2909, 3850, 2068, 5630, 7421, 1238, 1135, 13798, 1463, 1492, 2395, 9423, 1329, 1851, 1782, 29494, 1171, 1355, 4674, 2197, 20022, 2025, 14530, 1595, 5064, 1449, 1135, 1144, 1342, 1457, 14664, 2451, 22735, 3733, 1579, 7661, 1161, 3901, 1463, 8395, 1296, 16120, 3218, 17843, 1147, 7843, 7435, 3545, 1135, 19747, 121, 106, 106, 3466, 1645, 1178, 172, 9641, 119, 488, 132, 123, 112, 1161, 21642, 20642, 1536, 1551, 1171, 488, 130, 123, 112, 1161, 3664, 1484, 2025, 2477, 3078, 6067, 19342, 8720, 3921, 1324, 1135, 13798, 1226, 1110, 24680, 10589, 192, 26201, 1463, 6162, 11746, 1449, 1281, 2554, 2078, 1171, 16120, 2025, 4554, 1163, 12410, 1147, 1789, 18960, 1297, 3550, 14315, 1463, 8395, 1147, 1252, 5275, 180, 2468, 11982, 190, 2155, 13372, 488, 124, 123, 123, 7275, 7921, 1147, 1671, 1141, 17368, 1324, 1185, 1502, 190, 1806, 1163, 488, 124, 126, 123, 7275, 7921, 1147, 22120, 3266, 106, 106, 143, 1277, 1163, 2019, 5640, 119, 1135, 2220, 2397, 4970, 1463, 13979, 1446, 1135, 23027, 1161, 6061, 1226, 5271, 30118, 11979, 3807, 1449, 1135, 5055, 7360, 176, 1121, 6898, 10118, 21077, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 142, 6770, 1438, 2397, 4970, 1239, 1135, 2481, 17275, 30118, 11979, 1438, 5677, 16591, 1147, 1135, 5343, 18815, 1147, 7375, 1161, 5338, 3988, 1324, 1110, 12687, 1161, 488, 131, 132, 123, 1166, 155, 2036, 13891, 1165, 6770, 1438, 3335, 5245, 30572, 2019, 1114, 1502, 7736, 11982, 190, 1161, 488, 125, 131, 123, 7275, 7921, 2060, 5052, 4826, 1329, 488, 126, 125, 123, 7275, 7921, 2060, 1704, 10113, 121, 1410, 2220, 2397, 4970, 1602, 2023, 13979, 1446, 1135, 23027, 1161, 6061, 1226, 5271, 30118, 11979, 3807, 1449, 1135, 5055, 7360, 176, 1121, 6898, 10118, 21077, 106, 106, 2812, 3179, 18203, 106, 106, 2439, 5457, 1161, 13679, 24457, 4062, 2365, 1463, 1940, 16591, 1238, 7262, 488, 125, 126, 1171, 7905, 1198, 2248, 1926, 1867, 3156, 488, 123, 127, 145, 1238, 7262, 488, 125, 128, 119, 16289, 488, 126, 130, 123, 7275, 19718, 1161, 21375, 2564, 15252, 1147, 10636, 3785, 121, 1410, 27894, 1106, 8868, 1427, 12961, 2059, 3297, 14654, 2884, 19597, 4383, 2241, 1988, 1463, 1169, 2476, 4474, 1296, 1198, 2248, 1926, 1165, 6770, 1438, 2397, 4970, 1175, 6024, 1149, 1163, 5343, 18815, 15885, 119, 1758, 27156, 1163, 1110, 30118, 19747, 1238, 1135, 1173, 2949, 1187, 3441, 1358, 2443, 10120, 116, 8322, 1238, 7262, 488, 125, 129, 121, 106, 106, 3466, 7262, 488, 125, 130, 119, 2397, 4970, 28098, 9828, 1171, 1449, 1135, 2283, 1161, 1135, 2954, 2055, 5180, 1110, 30204, 488, 124, 20176, 1766, 2988, 4289, 2949, 1187, 3441, 1358, 2443, 10120, 1576, 27940, 1238, 7262, 488, 125, 131, 119, 2397, 4970, 13372, 2019, 21220, 1536, 10944, 1324, 1114, 1502, 7736, 11982, 190, 1161, 488, 126, 125, 123, 7275, 7921, 2060, 5052, 4826, 1171, 1110, 8677, 12687, 1161, 488, 131, 132, 123, 1166, 155, 2036, 2192, 12687, 3062, 1341, 1135, 2481, 17275, 30118, 11979, 1438, 1147, 5517, 5232, 1543, 2306, 6796, 1171, 1135, 2481, 12390, 7742, 1161, 1135, 10537, 14654, 18815, 1350, 1159, 6871, 6067, 1413, 12687, 1239, 1151, 22876, 4558, 1238, 1135, 3743, 14777, 1105, 18848, 13113, 29288, 1758, 1826, 2026, 11982, 9712, 1163, 8677, 5338, 3988, 1171, 1375, 1110, 3152, 7744, 3041, 106, 106, 6937, 7262, 488, 125, 132, 1163, 6324, 488, 125, 119, 2397, 4970, 11085, 2763, 3819, 3476, 5153, 24214, 1110, 19255, 5494, 18950, 119, 1171, 20642, 1355, 1110, 17523, 19597, 8389, 1410, 11979, 1438, 8576, 2060, 5057, 13798, 190, 1147, 1135, 16086, 1190, 192, 10660, 1161, 1135, 8431, 29185, 31812, 3545, 1413, 5529, 121, 2502, 6324, 488, 126, 119, 1135, 2935, 8492, 10950, 7080, 22629, 119, 1663, 20142, 1156, 28731, 14266, 17274, 11982, 2293, 1124, 1171, 9840, 1107, 14695, 6300, 9542, 30769, 14024, 7837, 5081, 106, 106, 165, 4970, 1169, 17348, 1156, 2127, 1110, 30118, 27894, 5756, 1238, 6324, 488, 129, 119, 488, 130, 130, 123, 7275, 10553, 14654, 1161, 22120, 2433, 1252, 5275, 3266, 3454, 11979, 1438, 1294, 8377, 2025, 9970, 13448, 1135, 2994, 2954, 2043, 1341, 8522, 1156, 2127, 1151, 8840, 1128, 2248, 1926, 11979, 21156, 106, 106, 148, 2402, 18089, 106, 106, 142, 6770, 1438, 2397, 4970, 2876, 1375, 2440, 4985, 25652, 1663, 16308, 5057, 13798, 190, 1324, 1110, 3983, 5740, 1161, 488, 124, 119, 123, 123, 123, 16817, 1410, 20276, 14315, 1463, 15926, 1238, 1198, 2461, 1273, 1575, 9641, 119, 1758, 14834, 1135, 14194, 8101, 9251, 1161, 2397, 186, 2596, 3079, 7256, 9517, 1110, 19747, 1300, 1315, 1161, 488, 128, 1163, 488, 129, 2367, 2996, 3743, 4674, 1281, 1672, 196, 21642, 2025, 30505, 1171, 12317, 12597, 1135, 1971, 1573, 1162, 1296, 2909, 3850, 2068, 5630, 7421, 1238, 1135, 13798, 1463, 1492, 2395, 9423, 1329, 1851, 1782, 29494, 1171, 1355, 4674, 2197, 20022, 2025, 14530, 1595, 5064, 1449, 1135, 1144, 1342, 1457, 14664, 2451, 22735, 3733, 1579, 7661, 1161, 3901, 1463, 8395, 1296, 16120, 3218, 17843, 1147, 7843, 7435, 3545, 1135, 19747, 121, 106, 106, 3466, 1645, 1178, 172, 9641, 119, 488, 132, 123, 112, 1161, 21642, 20642, 1536, 1551, 1171, 488, 130, 123, 112, 1161, 3664, 1484, 2025, 2477, 3078, 6067, 19342, 8720, 3921, 1324, 1135, 13798, 1226, 1110, 24680, 10589, 192, 26201, 1463, 6162, 11746, 1449, 1281, 2554, 2078, 1171, 16120, 2025, 4554, 1163, 12410, 1147, 1789, 18960, 1297, 3550, 14315, 1463, 8395, 1147, 1252, 5275, 180, 2468, 11982, 190, 2155, 13372, 488, 124, 123, 123, 7275, 7921, 1147, 1671, 1141, 17368, 1324, 1185, 1502, 190, 1806, 1163, 488, 124, 126, 123, 7275, 7921, 1147, 22120, 3266, 106, 106, 143, 1277, 1163, 2019, 5640, 119, 1135, 2220, 2397, 4970, 1463, 13979, 1446, 1135, 23027, 1161, 6061, 1226, 5271, 30118, 11979, 3807, 1449, 1135, 5055, 7360, 176, 1121, 6898, 10118, 21077, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 15440, 19800, 4586, 2851, 5252, 1170, 488, 124, 127, 2822, 488, 124, 130, 132, 123, 1188, 13793, 10918, 6229, 1404, 116, 1167, 4541, 1170, 488, 129, 2749, 488, 124, 131, 130, 129, 1188, 1173, 19673, 1119, 6664, 1299, 1189, 4610, 1125, 27112, 2240, 24610, 106, 106, 141, 11741, 488, 106, 15440, 19800, 4586, 1199, 1299, 1170, 8658, 1227, 6273, 1136, 1167, 2477, 1199, 15503, 8765, 9228, 19800, 4586, 2851, 1167, 1170, 15722, 1227, 4610, 8179, 19800, 4586, 1199, 1167, 1227, 29369, 3699, 28688, 1248, 8327, 1334, 19800, 4586, 4974, 1768, 1299, 2072, 1170, 18225, 1109, 1185, 2719, 1262, 1125, 24359, 1192, 1755, 2057, 119, 10023, 1125, 8179, 1233, 3595, 1140, 7441, 106, 106, 2606, 4610, 19800, 4586, 1199, 31267, 1125, 4556, 7057, 1313, 1158, 9245, 11894, 2040, 4796, 1170, 488, 124, 127, 2822, 488, 124, 130, 132, 123, 1527, 2985, 1714, 17512, 1313, 1170, 12468, 9556, 16185, 3467, 1125, 1158, 9678, 1125, 14922, 2100, 1599, 7011, 16513, 15545, 488, 128, 2578, 488, 124, 130, 132, 123, 121, 1170, 19812, 1527, 3031, 1714, 17512, 17835, 3407, 1317, 488, 127, 176, 1125, 25044, 121, 2932, 2132, 2617, 4716, 1913, 13773, 244, 1188, 1158, 11961, 15005, 2806, 3699, 19800, 4586, 1199, 6484, 1158, 9625, 1125, 488, 124, 131, 124, 126, 119, 1186, 3707, 1125, 2290, 2992, 1214, 20844, 2851, 14890, 3365, 3618, 15363, 1170, 488, 130, 18802, 1164, 1657, 1768, 1281, 13695, 8582, 1186, 3171, 29862, 1167, 2985, 12688, 14277, 22053, 1170, 488, 132, 2921, 1125, 1816, 2076, 5910, 134, 1207, 12420, 1357, 2419, 31187, 9771, 7085, 6334, 2658, 1158, 26725, 1227, 6018, 3726, 12161, 1252, 1370, 22840, 1374, 1188, 1222, 1312, 10645, 2750, 1158, 17991, 1125, 1158, 6751, 1203, 2071, 1527, 1288, 9733, 1154, 1186, 2315, 1309, 1170, 488, 128, 28076, 1666, 191, 1343, 1170, 14890, 1125, 14277, 22053, 6421, 1506, 1199, 17835, 3407, 119, 1188, 1158, 13097, 1231, 5927, 1366, 1125, 1282, 12268, 2944, 1170, 488, 124, 131, 2578, 1167, 4796, 1170, 488, 125, 3201, 2419, 2851, 7810, 1178, 1207, 3391, 30359, 8185, 1125, 6751, 23231, 1768, 6484, 119, 1186, 1816, 19959, 1207, 20565, 6348, 2145, 11438, 1125, 488, 124, 131, 125, 126, 1188, 488, 124, 131, 125, 131, 121, 106, 106, 2606, 488, 128, 2578, 488, 124, 131, 126, 124, 119, 1527, 2985, 12688, 6513, 1125, 12468, 9556, 1317, 488, 127, 176, 1125, 25044, 119, 1167, 14277, 22053, 20328, 28538, 1317, 488, 126, 176, 8785, 2617, 1170, 488, 125, 126, 2875, 488, 124, 131, 126, 126, 121, 106, 106, 11578, 1487, 244, 1188, 21090, 5519, 9971, 1188, 1816, 3391, 19108, 1527, 1251, 6484, 119, 1469, 21964, 119, 1207, 20565, 1125, 488, 124, 131, 126, 131, 119, 488, 124, 131, 126, 132, 119, 488, 124, 131, 127, 123, 1167, 488, 124, 131, 127, 124, 119, 2985, 12688, 9644, 1140, 1227, 488, 127, 176, 1125, 25044, 1170, 488, 124, 131, 2578, 121, 1768, 3360, 1343, 1281, 30299, 1186, 12094, 1125, 488, 124, 131, 127, 127, 1188, 488, 124, 131, 127, 131, 1167, 2985, 2969, 192, 1317, 14890, 1125, 4610, 1125, 27112, 2240, 1170, 488, 124, 124, 2584, 121, 1653, 1816, 2076, 13407, 1527, 6484, 3247, 1125, 3871, 20331, 1125, 11188, 1167, 4021, 172, 1318, 27112, 2240, 1125, 1440, 5773, 1304, 2569, 2806, 1188, 1816, 7793, 1170, 18866, 1248, 2949, 1130, 6484, 1594, 18469, 2442, 1309, 3977, 1227, 28679, 1202, 1214, 1209, 163, 121, 106, 106, 1686, 488, 124, 131, 128, 125, 1175, 4777, 1199, 1158, 488, 124, 124, 176, 27112, 2240, 1125, 1158, 10041, 1304, 16819, 1125, 11188, 116, 1527, 1838, 7726, 1318, 6086, 21742, 1146, 2007, 9320, 2624, 1357, 12992, 7085, 1170, 8679, 1227, 2424, 14809, 1125, 5444, 18117, 4054, 16392, 3796, 1366, 9053, 2290, 1170, 3694, 5158, 1172, 4080, 186, 1114, 1203, 1746, 1493, 2504, 2448, 186, 1466, 1170, 1367, 5711, 176, 16392, 3796, 1214, 2172, 7788, 1107, 4741, 11188, 119, 488, 124, 131, 128, 127, 121, 106, 106, 5164, 19859, 1186, 488, 124, 131, 130, 129, 1167, 1299, 14786, 11125, 1313, 1170, 30228, 1125, 1643, 1266, 15167, 1313, 1158, 1918, 22631, 1643, 16360, 1125, 1594, 28391, 1313, 1170, 2076, 1186, 1395, 5160, 1299, 1225, 1255, 1378, 1125, 1158, 1114, 28355, 2502, 1251, 5672, 1282, 10295, 10549, 1257, 106, 106, 31133, 1121, 1430, 488, 106, 2606, 4610, 19800, 4586, 1199, 1110, 8217, 1207, 11401, 1430, 9643, 1257, 106, 488, 1257, 14018, 1374, 1125, 22501, 14842, 1170, 488, 124, 131, 2578, 488, 124, 131, 124, 126, 106, 488, 1257, 14018, 1374, 1125, 29204, 13976, 1125, 3281, 11868, 17726, 8255, 21593, 1175, 124, 131, 125, 128, 116, 1186, 488, 124, 131, 125, 128, 106, 1257, 5759, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 1170, 488, 124, 124, 2584, 488, 124, 131, 127, 129, 121, 106, 488, 1257, 5759, 1136, 1175, 124, 131, 127, 132, 116, 2648, 3828, 27825, 1175, 124, 131, 128, 132, 116, 1125, 29204, 13976, 1125, 20606, 11336, 1941, 6122, 5264, 189, 8255, 31784, 1119, 106, 488, 1257, 28756, 1374, 1125, 29204, 13976, 1125, 12313, 2003, 1119, 4829, 1141, 1170, 488, 125, 126, 2578, 488, 124, 131, 128, 126, 121, 106, 1257, 3225, 13976, 1227, 5645, 181, 1176, 2620, 26344, 1143, 1824, 3841, 106, 488, 9915, 2961, 1125, 13894, 7002, 24872, 106, 106, 158, 3249, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 488, 106, 106, 146, 1538, 8464, 2720, 1125, 1158, 1691, 2528, 1214, 1125, 27068, 106, 2700, 2793, 1136, 1125, 1158, 13097, 1231, 6111, 12132, 2969, 192, 1186, 488, 124, 131, 127, 129, 106, 153, 3400, 1186, 2822, 488, 124, 130, 132, 123, 106, 153, 3400, 1188, 13793, 10918, 106, 31133, 1467, 1186, 2749, 488, 124, 131, 130, 129, 106, 31133, 1467, 1188, 1173, 19673, 7821, 106, 11333, 2487, 1197, 3412, 1742, 7085, 1300, 31774, 1176, 1514, 106, 31133, 1467, 1188, 488, 131, 128, 2165, 114, 32001, 488, 106, 32000, 20036, 106, 15440, 19800, 4586, 2851, 9204, 1238, 7357, 488, 124, 127, 119, 488, 124, 130, 132, 123, 1147, 13793, 10918, 6229, 1404, 116, 1171, 12743, 1238, 6324, 488, 129, 119, 488, 124, 131, 130, 129, 1147, 1173, 19673, 1119, 6664, 1239, 1110, 9197, 27112, 1217, 1374, 2943, 3850, 106, 106, 141, 180, 11114, 106, 15440, 19800, 4586, 1199, 1239, 1135, 1594, 1161, 1135, 7427, 1107, 1171, 8108, 1267, 9228, 19800, 4586, 2851, 1171, 1135, 18021, 1161, 8619, 8179, 19800, 4586, 1199, 1171, 13537, 1107, 3699, 28688, 1248, 8327, 1334, 19800, 4586, 4974, 2133, 1239, 1959, 1135, 1940, 18225, 1109, 1161, 24359, 1192, 1755, 2057, 119, 1135, 10886, 1161, 8179, 1233, 3595, 1140, 7441, 106, 106, 26580, 19800, 4586, 1199, 17032, 1135, 10215, 9932, 5756, 134, 1238, 7357, 488, 124, 127, 119, 488, 124, 130, 132, 123, 119, 1386, 1463, 1110, 1714, 1315, 1199, 1147, 1135, 6788, 8585, 1132, 1231, 1161, 1135, 14922, 2100, 1599, 1334, 3276, 4748, 4945, 7286, 488, 128, 119, 488, 124, 130, 132, 123, 121, 1410, 3314, 2954, 1386, 1463, 1110, 1714, 1315, 1199, 17835, 3407, 1147, 1135, 488, 127, 1276, 1200, 4994, 2192, 1978, 2617, 3026, 13773, 1589, 2127, 1135, 11961, 15005, 2806, 3699, 19800, 4586, 1199, 3512, 1589, 1147, 1135, 488, 124, 131, 124, 126, 8769, 1296, 1110, 1994, 2992, 1214, 20844, 2851, 1110, 11178, 1386, 2055, 13196, 1238, 7871, 488, 130, 121, 2133, 23510, 2718, 9360, 1238, 5057, 29862, 1171, 1463, 10901, 1427, 1163, 14277, 22053, 1238, 6942, 488, 132, 1161, 1135, 2994, 1976, 134, 1135, 7408, 1302, 11179, 18264, 1427, 1135, 6176, 3726, 9850, 26725, 1226, 1110, 2884, 121, 1198, 19466, 10548, 1107, 1355, 1222, 1312, 8221, 2470, 1135, 17991, 1161, 1135, 6751, 1203, 2071, 1386, 2155, 9553, 1163, 2315, 1238, 7286, 488, 128, 119, 13196, 1135, 11178, 1161, 6421, 1178, 1199, 17835, 3407, 14277, 22053, 1147, 1135, 8729, 1132, 11689, 1231, 1161, 6105, 1112, 1238, 7286, 488, 124, 131, 119, 1171, 6971, 1135, 6181, 30359, 8185, 1161, 2195, 3697, 1238, 6678, 488, 125, 121, 1459, 1413, 5027, 6357, 1386, 3512, 1589, 1147, 1135, 8769, 190, 1147, 27240, 1446, 488, 124, 131, 125, 126, 1163, 488, 124, 131, 125, 131, 121, 106, 106, 3466, 7286, 488, 128, 119, 488, 124, 131, 126, 124, 119, 1386, 1463, 22951, 8585, 1132, 1231, 16865, 1161, 1135, 488, 127, 1276, 1200, 3603, 1171, 14277, 22053, 9644, 1140, 1161, 1135, 488, 126, 9710, 5158, 2617, 1238, 7327, 488, 125, 126, 119, 488, 124, 131, 126, 126, 121, 106, 106, 158, 1129, 1163, 1135, 26017, 1161, 14016, 1355, 1302, 6605, 1386, 23510, 2718, 9360, 1147, 1135, 8769, 190, 1161, 488, 124, 131, 126, 131, 119, 488, 124, 131, 126, 132, 119, 488, 124, 131, 127, 123, 119, 1171, 488, 124, 131, 127, 124, 119, 1171, 1463, 22951, 9644, 1140, 1161, 1135, 488, 127, 1276, 14172, 1238, 7286, 488, 124, 131, 121, 2133, 9553, 1163, 14016, 1171, 23510, 2718, 9360, 1446, 488, 124, 131, 127, 127, 1163, 488, 124, 131, 127, 131, 1171, 1463, 10901, 1427, 1163, 1135, 11178, 1161, 27112, 1217, 1374, 6970, 1238, 7262, 488, 124, 124, 121, 1459, 1135, 2994, 8641, 1386, 3512, 1589, 1147, 1135, 2217, 29498, 1163, 11188, 1171, 4021, 1156, 1110, 27112, 2240, 1161, 1302, 6133, 1762, 1238, 1302, 7793, 1135, 7444, 1213, 1248, 2949, 1130, 3062, 1765, 18469, 1296, 2632, 1296, 1302, 1161, 1202, 2249, 1202, 10737, 1209, 163, 121, 106, 106, 1428, 488, 124, 131, 128, 125, 1175, 4777, 1149, 1135, 488, 124, 124, 1276, 27112, 2240, 1161, 1135, 11188, 7723, 1162, 10041, 116, 1386, 1270, 30756, 1110, 6086, 1161, 18143, 20077, 2000, 7479, 177, 1427, 1135, 10860, 2424, 22916, 1226, 1135, 16392, 1533, 1926, 3529, 1199, 1857, 8226, 2670, 1135, 5783, 5158, 1172, 4080, 186, 1114, 1203, 1746, 1493, 2504, 2448, 186, 1466, 1170, 1367, 5711, 176, 16392, 3796, 1214, 2172, 7788, 1107, 4741, 11188, 119, 488, 124, 131, 128, 127, 121, 106, 106, 3780, 12743, 1147, 488, 124, 131, 130, 129, 1171, 1239, 9531, 2295, 1147, 1135, 1116, 1320, 1130, 1884, 1161, 1643, 1266, 15167, 1147, 1918, 22631, 7013, 11432, 1361, 11912, 119, 1147, 1135, 2994, 1186, 12408, 3988, 1239, 6402, 1109, 1163, 1765, 121, 1410, 3602, 15224, 1239, 2679, 1970, 133, 106, 106, 8682, 1121, 1430, 106, 26580, 19800, 4586, 1199, 6971, 1135, 3602, 15053, 1430, 133, 106, 120, 11453, 1580, 1161, 22501, 14842, 1238, 7286, 488, 124, 131, 119, 488, 124, 131, 124, 126, 106, 120, 11453, 1580, 1161, 1135, 14545, 1161, 3281, 11868, 17726, 8255, 27240, 1175, 124, 131, 125, 128, 116, 1147, 488, 124, 131, 125, 128, 106, 120, 13537, 1107, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 1238, 7262, 488, 124, 124, 119, 488, 124, 131, 127, 129, 106, 120, 13537, 1107, 1175, 124, 131, 127, 132, 116, 2491, 5623, 16073, 1175, 124, 131, 128, 132, 116, 1161, 1135, 14545, 1161, 3281, 18627, 1696, 1135, 11023, 119, 31784, 1119, 106, 120, 11453, 1580, 1161, 1135, 14545, 1161, 3281, 15432, 1120, 4313, 1153, 1238, 7286, 488, 125, 126, 119, 488, 124, 131, 128, 126, 106, 120, 14545, 1161, 1135, 5645, 181, 1176, 2620, 20312, 3841, 26344, 106, 120, 3281, 8670, 8270, 5645, 1132, 106, 106, 158, 3249, 106, 106, 26722, 14520, 106, 106, 145, 30206, 6970, 1161, 1135, 6942, 3335, 27205, 106, 9182, 1107, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 10901, 1427, 1147, 488, 124, 131, 127, 129, 106, 141, 2589, 1147, 7357, 488, 124, 130, 132, 123, 106, 141, 2589, 1147, 13793, 10918, 106, 143, 2295, 1147, 6324, 488, 124, 131, 130, 129, 106, 143, 2295, 1147, 1173, 19673, 7821, 106, 11333, 1324, 12568, 4145, 3033, 1238, 31774, 1176, 1514, 106, 143, 2295, 1355, 7227, 488, 131, 128, 4297, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 15440, 19800, 4586, 2851, 9204, 1238, 7357, 488, 124, 127, 119, 488, 124, 130, 132, 123, 1147, 13793, 10918, 6229, 1404, 116, 1171, 12743, 1238, 6324, 488, 129, 119, 488, 124, 131, 130, 129, 1147, 1173, 19673, 1119, 6664, 1239, 1110, 9197, 27112, 1217, 1374, 2943, 3850, 106, 106, 141, 180, 11114, 106, 15440, 19800, 4586, 1199, 1239, 1135, 1594, 1161, 1135, 7427, 1107, 1171, 8108, 1267, 9228, 19800, 4586, 2851, 1171, 1135, 18021, 1161, 8619, 8179, 19800, 4586, 1199, 1171, 13537, 1107, 3699, 28688, 1248, 8327, 1334, 19800, 4586, 4974, 2133, 1239, 1959, 1135, 1940, 18225, 1109, 1161, 24359, 1192, 1755, 2057, 119, 1135, 10886, 1161, 8179, 1233, 3595, 1140, 7441, 106, 106, 26580, 19800, 4586, 1199, 17032, 1135, 10215, 9932, 5756, 134, 1238, 7357, 488, 124, 127, 119, 488, 124, 130, 132, 123, 119, 1386, 1463, 1110, 1714, 1315, 1199, 1147, 1135, 6788, 8585, 1132, 1231, 1161, 1135, 14922, 2100, 1599, 1334, 3276, 4748, 4945, 7286, 488, 128, 119, 488, 124, 130, 132, 123, 121, 1410, 3314, 2954, 1386, 1463, 1110, 1714, 1315, 1199, 17835, 3407, 1147, 1135, 488, 127, 1276, 1200, 4994, 2192, 1978, 2617, 3026, 13773, 1589, 2127, 1135, 11961, 15005, 2806, 3699, 19800, 4586, 1199, 3512, 1589, 1147, 1135, 488, 124, 131, 124, 126, 8769, 1296, 1110, 1994, 2992, 1214, 20844, 2851, 1110, 11178, 1386, 2055, 13196, 1238, 7871, 488, 130, 121, 2133, 23510, 2718, 9360, 1238, 5057, 29862, 1171, 1463, 10901, 1427, 1163, 14277, 22053, 1238, 6942, 488, 132, 1161, 1135, 2994, 1976, 134, 1135, 7408, 1302, 11179, 18264, 1427, 1135, 6176, 3726, 9850, 26725, 1226, 1110, 2884, 121, 1198, 19466, 10548, 1107, 1355, 1222, 1312, 8221, 2470, 1135, 17991, 1161, 1135, 6751, 1203, 2071, 1386, 2155, 9553, 1163, 2315, 1238, 7286, 488, 128, 119, 13196, 1135, 11178, 1161, 6421, 1178, 1199, 17835, 3407, 14277, 22053, 1147, 1135, 8729, 1132, 11689, 1231, 1161, 6105, 1112, 1238, 7286, 488, 124, 131, 119, 1171, 6971, 1135, 6181, 30359, 8185, 1161, 2195, 3697, 1238, 6678, 488, 125, 121, 1459, 1413, 5027, 6357, 1386, 3512, 1589, 1147, 1135, 8769, 190, 1147, 27240, 1446, 488, 124, 131, 125, 126, 1163, 488, 124, 131, 125, 131, 121, 106, 106, 3466, 7286, 488, 128, 119, 488, 124, 131, 126, 124, 119, 1386, 1463, 22951, 8585, 1132, 1231, 16865, 1161, 1135, 488, 127, 1276, 1200, 3603, 1171, 14277, 22053, 9644, 1140, 1161, 1135, 488, 126, 9710, 5158, 2617, 1238, 7327, 488, 125, 126, 119, 488, 124, 131, 126, 126, 121, 106, 106, 158, 1129, 1163, 1135, 26017, 1161, 14016, 1355, 1302, 6605, 1386, 23510, 2718, 9360, 1147, 1135, 8769, 190, 1161, 488, 124, 131, 126, 131, 119, 488, 124, 131, 126, 132, 119, 488, 124, 131, 127, 123, 119, 1171, 488, 124, 131, 127, 124, 119, 1171, 1463, 22951, 9644, 1140, 1161, 1135, 488, 127, 1276, 14172, 1238, 7286, 488, 124, 131, 121, 2133, 9553, 1163, 14016, 1171, 23510, 2718, 9360, 1446, 488, 124, 131, 127, 127, 1163, 488, 124, 131, 127, 131, 1171, 1463, 10901, 1427, 1163, 1135, 11178, 1161, 27112, 1217, 1374, 6970, 1238, 7262, 488, 124, 124, 121, 1459, 1135, 2994, 8641, 1386, 3512, 1589, 1147, 1135, 2217, 29498, 1163, 11188, 1171, 4021, 1156, 1110, 27112, 2240, 1161, 1302, 6133, 1762, 1238, 1302, 7793, 1135, 7444, 1213, 1248, 2949, 1130, 3062, 1765, 18469, 1296, 2632, 1296, 1302, 1161, 1202, 2249, 1202, 10737, 1209, 163, 121, 106, 106, 1428, 488, 124, 131, 128, 125, 1175, 4777, 1149, 1135, 488, 124, 124, 1276, 27112, 2240, 1161, 1135, 11188, 7723, 1162, 10041, 116, 1386, 1270, 30756, 1110, 6086, 1161, 18143, 20077, 2000, 7479, 177, 1427, 1135, 10860, 2424, 22916, 1226, 1135, 16392, 1533, 1926, 3529, 1199, 1857, 8226, 2670, 1135, 5783, 5158, 1172, 4080, 186, 1114, 1203, 1746, 1493, 2504, 2448, 186, 1466, 1170, 1367, 5711, 176, 16392, 3796, 1214, 2172, 7788, 1107, 4741, 11188, 119, 488, 124, 131, 128, 127, 121, 106, 106, 3780, 12743, 1147, 488, 124, 131, 130, 129, 1171, 1239, 9531, 2295, 1147, 1135, 1116, 1320, 1130, 1884, 1161, 1643, 1266, 15167, 1147, 1918, 22631, 7013, 11432, 1361, 11912, 119, 1147, 1135, 2994, 1186, 12408, 3988, 1239, 6402, 1109, 1163, 1765, 121, 1410, 3602, 15224, 1239, 2679, 1970, 133, 106, 106, 8682, 1121, 1430, 106, 26580, 19800, 4586, 1199, 6971, 1135, 3602, 15053, 1430, 133, 106, 120, 11453, 1580, 1161, 22501, 14842, 1238, 7286, 488, 124, 131, 119, 488, 124, 131, 124, 126, 106, 120, 11453, 1580, 1161, 1135, 14545, 1161, 3281, 11868, 17726, 8255, 27240, 1175, 124, 131, 125, 128, 116, 1147, 488, 124, 131, 125, 128, 106, 120, 13537, 1107, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 1238, 7262, 488, 124, 124, 119, 488, 124, 131, 127, 129, 106, 120, 13537, 1107, 1175, 124, 131, 127, 132, 116, 2491, 5623, 16073, 1175, 124, 131, 128, 132, 116, 1161, 1135, 14545, 1161, 3281, 18627, 1696, 1135, 11023, 119, 31784, 1119, 106, 120, 11453, 1580, 1161, 1135, 14545, 1161, 3281, 15432, 1120, 4313, 1153, 1238, 7286, 488, 125, 126, 119, 488, 124, 131, 128, 126, 106, 120, 14545, 1161, 1135, 5645, 181, 1176, 2620, 20312, 3841, 26344, 106, 120, 3281, 8670, 8270, 5645, 1132, 106, 106, 158, 3249, 106, 106, 26722, 14520, 106, 106, 145, 30206, 6970, 1161, 1135, 6942, 3335, 27205, 106, 9182, 1107, 1161, 1135, 11689, 1231, 1161, 16131, 1121, 10901, 1427, 1147, 488, 124, 131, 127, 129, 106, 141, 2589, 1147, 7357, 488, 124, 130, 132, 123, 106, 141, 2589, 1147, 13793, 10918, 106, 143, 2295, 1147, 6324, 488, 124, 131, 130, 129, 106, 143, 2295, 1147, 1173, 19673, 7821, 106, 11333, 1324, 12568, 4145, 3033, 1238, 31774, 1176, 1514, 106, 143, 2295, 1355, 7227, 488, 131, 128, 4297, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 1808, 2605, 1512, 1634, 1299, 1189, 1166, 1344, 1334, 1125, 1158, 4813, 1125, 14664, 5804, 3561, 1313, 6389, 4537, 3066, 1170, 31741, 1125, 14664, 5804, 1140, 1299, 8446, 1313, 1158, 3734, 1125, 1158, 1165, 255, 1117, 6909, 1808, 2605, 1512, 1634, 1299, 8446, 1186, 1222, 3622, 1457, 106, 106, 158, 1104, 11411, 1508, 26956, 1207, 2605, 25576, 1517, 121, 106, 106, 146, 22857, 106, 106, 15581, 4521, 488, 106, 106, 4455, 2605, 1512, 1634, 1281, 18381, 1188, 3997, 488, 125, 7275, 1125, 1158, 3837, 1125, 14664, 5804, 3561, 1317, 8030, 1125, 11638, 121, 106, 106, 147, 3881, 26717, 488, 106, 2606, 1177, 9895, 1334, 1197, 2605, 1512, 1634, 5909, 1561, 3869, 5639, 1197, 2605, 1512, 1634, 2040, 1527, 1299, 2102, 1125, 488, 128, 7275, 1167, 1281, 1225, 1567, 1313, 1158, 6280, 9007, 121, 1548, 1177, 9895, 1334, 1197, 3225, 9551, 2102, 1125, 488, 130, 7275, 1167, 1357, 2077, 1126, 1313, 1207, 11292, 1376, 1125, 14664, 5804, 1140, 1167, 1125, 4304, 183, 2497, 1299, 1170, 4374, 2385, 10536, 1129, 1227, 1177, 9895, 22514, 1548, 1177, 9895, 1334, 1197, 2605, 1512, 1634, 18001, 1300, 1318, 3564, 15712, 1167, 2757, 3458, 15223, 31059, 3191, 121, 106, 106, 161, 186, 1429, 1125, 4882, 1167, 15304, 488, 106, 106, 3562, 2032, 1902, 1299, 4759, 1303, 1215, 1158, 24342, 124, 123, 131, 126, 1175, 9306, 2500, 1158, 5646, 5277, 488, 131, 126, 8691, 1199, 11276, 1188, 16675, 8291, 3551, 3047, 1576, 106, 106, 2524, 6698, 1158, 2032, 1902, 1281, 5209, 1188, 11793, 11351, 1125, 1158, 8969, 1125, 1282, 7373, 2734, 1192, 127, 129, 2040, 1170, 4755, 1367, 1105, 11715, 1125, 6389, 127, 126, 125, 1835, 1808, 2605, 1512, 1634, 1167, 1643, 19251, 5650, 1299, 10193, 2757, 2822, 488, 125, 123, 124, 124, 121, 1768, 1110, 1844, 11582, 1125, 1828, 4542, 3747, 1125, 1158, 4971, 1227, 3128, 1217, 1308, 1125, 1158, 1165, 255, 1117, 6909, 1835, 488, 125, 123, 123, 131, 1167, 488, 125, 123, 124, 124, 121, 2932, 1367, 1105, 11715, 2856, 1125, 20248, 4618, 6389, 127, 125, 2757, 6389, 127, 129, 1167, 29225, 1150, 1244, 3041, 106, 106, 3562, 3028, 11276, 1323, 16675, 8291, 3551, 3047, 29809, 1808, 2605, 25576, 1297, 106, 106, 2606, 5566, 1125, 7960, 2908, 1456, 1164, 1125, 1158, 9287, 1125, 8742, 1125, 14664, 5804, 1140, 1167, 1227, 2358, 13974, 2487, 3871, 10004, 28995, 1186, 488, 125, 123, 124, 128, 119, 2803, 4593, 3483, 5901, 1571, 2605, 1512, 1634, 1257, 1808, 2605, 1512, 1634, 6508, 119, 1293, 1532, 1197, 2605, 1512, 22074, 1808, 1270, 245, 21914, 19251, 1293, 10672, 1108, 3174, 9519, 2696, 1167, 29712, 1333, 2566, 121, 106, 106, 9748, 8150, 1214, 488, 106, 6880, 6853, 1227, 1874, 1227, 7130, 2074, 22733, 3144, 1125, 1115, 11700, 8798, 5472, 1606, 1115, 7197, 1450, 3133, 1189, 2262, 26242, 1475, 6322, 4419, 11483, 1250, 1186, 1222, 3622, 18421, 1167, 28822, 180, 1215, 1318, 2067, 1897, 28359, 1606, 1115, 11700, 4821, 106, 106, 155, 7695, 1167, 10932, 488, 106, 106, 2029, 11538, 17023, 21295, 1125, 14664, 5804, 1140, 1299, 21954, 6606, 1227, 1166, 1344, 22514, 106, 106, 1686, 26407, 488, 106, 106, 2606, 7130, 1299, 28313, 2519, 17030, 14603, 1378, 1167, 21701, 1257, 19543, 3699, 3840, 120, 3562, 4338, 1258, 2100, 2040, 2399, 2985, 18504, 12104, 1170, 488, 128, 2875, 488, 124, 132, 126, 128, 121, 106, 106, 142, 2748, 1167, 11639, 106, 106, 22259, 13359, 488, 106, 1814, 6601, 3447, 2576, 7197, 186, 1197, 2605, 1512, 22074, 8922, 1215, 1197, 3403, 4393, 1199, 1170, 1166, 1344, 7011, 1110, 1913, 9053, 5999, 2768, 1215, 1151, 3672, 488, 124, 127, 8793, 1768, 8135, 9829, 1186, 3141, 488, 125, 123, 125, 125, 121, 106, 106, 151, 2636, 1167, 19574, 488, 106, 106, 1548, 1557, 1298, 1197, 2605, 1512, 22074, 31057, 1693, 7197, 2357, 1299, 1189, 1865, 6322, 8827, 121, 106, 106, 3559, 26807, 1299, 10019, 1188, 11793, 11351, 1227, 30228, 1197, 2605, 25576, 1297, 3450, 2985, 27537, 1186, 488, 124, 132, 127, 128, 1257, 7328, 1816, 20122, 1256, 1170, 30147, 1167, 1207, 1584, 4260, 10143, 1207, 11411, 1197, 2605, 1512, 1634, 1281, 5931, 2457, 1188, 1352, 1452, 9236, 106, 106, 155, 7849, 3608, 12006, 1571, 2605, 1512, 1634, 488, 106, 106, 157, 1307, 1107, 30045, 9957, 1175, 124, 132, 126, 126, 120, 11037, 21359, 1836, 1167, 6843, 2944, 1299, 18400, 1571, 2605, 25576, 1297, 106, 106, 149, 27505, 1863, 11162, 2548, 1175, 124, 132, 124, 130, 120, 125, 123, 123, 128, 1496, 29139, 2648, 2735, 31547, 1283, 224, 30590, 2772, 16156, 2447, 2038, 1167, 28619, 4819, 1215, 12168, 10452, 1199, 1125, 1282, 20423, 3918, 8553, 1863, 11162, 2548, 20936, 1313, 1170, 1166, 1344, 22514, 106, 106, 153, 11282, 1863, 1196, 7490, 2114, 8658, 1227, 6175, 3310, 4607, 11493, 15560, 1227, 17990, 24373, 17659, 488, 106, 106, 2330, 7464, 12277, 13659, 7653, 1175, 124, 132, 129, 130, 120, 11037, 6562, 1109, 4280, 1110, 21146, 1571, 2605, 1512, 1634, 1170, 10640, 1125, 1594, 9159, 8128, 196, 13659, 7653, 19883, 3618, 15363, 1318, 13471, 1399, 19875, 5386, 1186, 488, 124, 132, 130, 130, 1576, 1653, 488, 125, 123, 124, 130, 119, 20705, 13659, 7653, 10656, 1309, 1594, 10640, 21180, 1808, 2605, 1512, 1634, 1256, 7163, 3847, 6218, 10640, 20296, 3031, 2595, 1571, 2605, 1512, 1634, 2757, 488, 124, 132, 123, 129, 121, 106, 106, 152, 7060, 1165, 1351, 1121, 11700, 119, 15722, 1125, 6780, 1165, 1351, 1121, 11700, 119, 2985, 27186, 1199, 1227, 20653, 1125, 6389, 2982, 2605, 184, 1399, 15021, 1660, 121, 106, 106, 4455, 2605, 1512, 1634, 1167, 1170, 9452, 488, 106, 31160, 1485, 26556, 1227, 3418, 2576, 1428, 185, 1237, 1129, 1508, 5505, 1473, 1571, 2605, 1512, 1634, 1622, 488, 125, 123, 125, 124, 119, 4319, 488, 125, 123, 125, 125, 121, 106, 106, 10853, 106, 106, 10026, 11052, 488, 106, 106, 152, 180, 5804, 1140, 106, 146, 1532, 1197, 2605, 1512, 1634, 106, 8321, 2154, 28869, 1197, 2605, 1512, 1634, 106, 106, 147, 1344, 1334, 1362, 3601, 2065, 1123, 1313, 6389, 1109, 106, 4455, 1254, 1512, 1634, 114, 32001, 488, 106, 32000, 20036, 106, 4455, 2605, 1512, 1634, 1239, 1110, 22903, 2178, 1147, 1135, 7389, 3258, 1161, 14664, 5804, 3561, 1147, 1135, 1192, 1109, 20946, 3041, 9068, 1135, 8046, 1161, 14664, 5804, 1140, 1239, 8452, 1147, 1135, 1165, 255, 10238, 1978, 4986, 1808, 2605, 1512, 1634, 1239, 8452, 1147, 1222, 3622, 1457, 106, 106, 148, 1634, 27550, 1701, 1393, 4494, 1135, 2605, 25576, 1517, 121, 106, 106, 13543, 11114, 106, 106, 12606, 106, 4455, 2605, 1512, 1634, 1239, 8452, 1905, 488, 125, 7275, 1446, 1135, 8046, 1161, 14664, 5804, 3561, 1163, 1135, 10537, 1161, 5081, 106, 106, 147, 3881, 13034, 196, 106, 1598, 6419, 1161, 1808, 2605, 1512, 1634, 3425, 2026, 6289, 1135, 22903, 2178, 134, 1341, 1239, 488, 128, 7275, 2102, 1171, 7558, 190, 2127, 1135, 6280, 9007, 16695, 121, 1410, 3225, 1623, 6419, 119, 488, 130, 7275, 2102, 1171, 7558, 1149, 2488, 1135, 14664, 5804, 1140, 1171, 4304, 183, 2497, 11292, 7816, 1239, 1135, 2155, 2693, 2479, 1626, 1163, 1135, 6419, 121, 1410, 1808, 2605, 1512, 1634, 6419, 1602, 2023, 2670, 4718, 2060, 1110, 3564, 15712, 1226, 5057, 10805, 106, 106, 29200, 1162, 106, 1598, 2032, 3258, 1239, 7634, 1156, 1449, 1135, 24342, 124, 123, 131, 126, 1175, 15326, 1269, 1135, 3781, 7248, 488, 131, 126, 28414, 11276, 1163, 16675, 8291, 3551, 3047, 1576, 106, 106, 4650, 23562, 1135, 2032, 3258, 1239, 8452, 6289, 1135, 13563, 1161, 1135, 1192, 127, 129, 2533, 2850, 134, 1135, 2977, 4960, 1161, 1135, 1192, 127, 126, 125, 2910, 1808, 2605, 1512, 1634, 1171, 1643, 19251, 1206, 1602, 2023, 3275, 3976, 7357, 488, 125, 123, 124, 124, 121, 1988, 2670, 194, 1129, 4971, 1870, 1285, 3813, 1135, 6540, 1161, 1135, 1165, 255, 10238, 3128, 1217, 1308, 3378, 2910, 488, 125, 123, 123, 131, 1171, 488, 125, 123, 124, 124, 121, 2192, 4960, 8647, 1163, 5732, 1135, 1192, 127, 125, 1446, 1135, 1192, 127, 129, 1171, 12497, 2079, 2036, 106, 106, 1598, 11276, 1323, 16675, 8291, 3551, 3047, 3627, 2458, 19562, 1808, 2605, 25576, 1297, 106, 106, 1598, 2908, 1456, 1164, 7960, 5117, 1161, 1135, 14664, 5804, 1140, 1171, 2358, 13974, 4991, 1161, 17023, 9489, 1758, 5970, 13618, 1147, 488, 125, 123, 124, 128, 119, 1602, 4593, 31407, 1147, 1808, 2605, 1512, 1634, 133, 1808, 2605, 1512, 1634, 6508, 119, 1293, 1532, 1197, 2605, 1512, 22074, 1808, 1539, 245, 21914, 19251, 1293, 10672, 1108, 3174, 9519, 2696, 119, 1171, 29712, 1333, 2566, 121, 106, 106, 9748, 8150, 196, 106, 1598, 3425, 1161, 1135, 7130, 1361, 2220, 1239, 19737, 1163, 4246, 1446, 15172, 11700, 109, 10545, 1235, 3527, 1149, 1523, 1110, 2262, 1161, 8108, 31179, 1175, 14781, 1147, 1222, 3622, 18421, 2463, 24554, 1449, 1110, 25020, 4494, 15172, 11700, 4095, 106, 106, 155, 7847, 3750, 1171, 17037, 106, 140, 17023, 23578, 1121, 1125, 20172, 1446, 14664, 5804, 1140, 1239, 16665, 11626, 1226, 1135, 22903, 31172, 106, 106, 144, 5341, 106, 1598, 7130, 1602, 1110, 5035, 2683, 12432, 1171, 4907, 1626, 3875, 133, 1135, 3699, 3840, 120, 3562, 4338, 1258, 2100, 3875, 134, 1341, 1463, 18504, 1136, 1589, 1238, 7327, 488, 128, 119, 488, 124, 132, 126, 128, 121, 106, 106, 142, 2748, 1171, 31051, 106, 106, 14798, 11153, 106, 140, 3447, 29335, 2576, 7197, 186, 1197, 2605, 1512, 22074, 5772, 1449, 2337, 7954, 1147, 1135, 22903, 23586, 1463, 8226, 3663, 5377, 1110, 1976, 1226, 488, 124, 127, 10805, 1988, 19132, 1147, 7871, 488, 125, 123, 125, 125, 121, 106, 106, 3956, 3501, 1171, 3335, 3375, 106, 1598, 1808, 2605, 1512, 1634, 1557, 2393, 119, 1921, 1641, 22465, 2754, 1239, 1110, 14347, 8108, 8463, 106, 106, 140, 8371, 1140, 1239, 8452, 6289, 1135, 1808, 2605, 1512, 1634, 1116, 1320, 1130, 1884, 121, 1988, 1463, 7406, 1147, 488, 124, 132, 127, 128, 133, 2979, 1302, 20122, 1226, 1144, 17386, 1171, 9531, 1474, 1285, 1135, 27550, 1701, 1161, 1808, 2605, 1512, 1634, 6312, 1163, 1352, 1452, 9236, 106, 106, 155, 26981, 2695, 16447, 1163, 1808, 2605, 1512, 1634, 106, 157, 1307, 1107, 30045, 9957, 1175, 124, 132, 126, 126, 120, 11037, 12770, 1595, 1121, 1171, 7444, 5661, 1239, 4558, 1147, 1808, 2605, 25576, 1297, 106, 106, 149, 27505, 1863, 11162, 2548, 1175, 124, 132, 124, 130, 120, 125, 123, 123, 128, 1496, 6924, 1171, 2491, 3945, 1121, 1161, 2605, 30590, 2772, 16156, 2447, 1267, 1171, 3647, 1659, 1959, 11479, 1161, 1135, 1863, 11162, 2548, 3918, 8553, 17720, 4558, 1147, 1135, 22903, 31172, 106, 106, 153, 11282, 1863, 1196, 7490, 2114, 1594, 1161, 1135, 22318, 2064, 4607, 20101, 31865, 1147, 1135, 16406, 4115, 1457, 106, 106, 2330, 7464, 12277, 13659, 7653, 1175, 124, 132, 129, 130, 120, 11037, 1850, 4790, 5868, 2060, 1765, 11432, 8128, 196, 13659, 7653, 1361, 10640, 1147, 1808, 2605, 1512, 1634, 17926, 2055, 18850, 1110, 19875, 5386, 4300, 1147, 488, 124, 132, 130, 130, 1576, 1459, 488, 125, 123, 124, 130, 119, 20705, 13659, 7653, 10229, 1302, 1765, 10640, 1463, 15160, 1808, 2605, 1512, 1634, 1226, 7163, 3847, 7013, 4772, 10640, 2055, 2023, 1147, 1808, 2605, 1512, 1634, 3976, 488, 124, 132, 123, 129, 121, 106, 106, 152, 7060, 1165, 1351, 1121, 11700, 119, 18021, 1161, 6780, 1165, 1351, 1121, 11700, 119, 1463, 1135, 1125, 24498, 1161, 1135, 1192, 1109, 1125, 1481, 1762, 2605, 184, 1399, 15021, 1660, 114, 25701, 7017, 106, 106, 4455, 2605, 1512, 1634, 1171, 1165, 20770, 106, 158, 1544, 27700, 1446, 1135, 3418, 2576, 1428, 185, 1237, 1129, 2025, 11731, 1147, 1808, 2605, 1512, 1634, 1355, 1135, 2283, 1161, 488, 125, 123, 125, 124, 119, 10220, 1161, 488, 125, 123, 125, 125, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 4455, 2605, 1512, 1634, 1239, 1110, 22903, 2178, 1147, 1135, 7389, 3258, 1161, 14664, 5804, 3561, 1147, 1135, 1192, 1109, 20946, 3041, 9068, 1135, 8046, 1161, 14664, 5804, 1140, 1239, 8452, 1147, 1135, 1165, 255, 10238, 1978, 4986, 1808, 2605, 1512, 1634, 1239, 8452, 1147, 1222, 3622, 1457, 106, 106, 148, 1634, 27550, 1701, 1393, 4494, 1135, 2605, 25576, 1517, 121, 106, 106, 13543, 11114, 106, 106, 12606, 106, 4455, 2605, 1512, 1634, 1239, 8452, 1905, 488, 125, 7275, 1446, 1135, 8046, 1161, 14664, 5804, 3561, 1163, 1135, 10537, 1161, 5081, 106, 106, 147, 3881, 13034, 196, 106, 1598, 6419, 1161, 1808, 2605, 1512, 1634, 3425, 2026, 6289, 1135, 22903, 2178, 134, 1341, 1239, 488, 128, 7275, 2102, 1171, 7558, 190, 2127, 1135, 6280, 9007, 16695, 121, 1410, 3225, 1623, 6419, 119, 488, 130, 7275, 2102, 1171, 7558, 1149, 2488, 1135, 14664, 5804, 1140, 1171, 4304, 183, 2497, 11292, 7816, 1239, 1135, 2155, 2693, 2479, 1626, 1163, 1135, 6419, 121, 1410, 1808, 2605, 1512, 1634, 6419, 1602, 2023, 2670, 4718, 2060, 1110, 3564, 15712, 1226, 5057, 10805, 106, 106, 29200, 1162, 106, 1598, 2032, 3258, 1239, 7634, 1156, 1449, 1135, 24342, 124, 123, 131, 126, 1175, 15326, 1269, 1135, 3781, 7248, 488, 131, 126, 28414, 11276, 1163, 16675, 8291, 3551, 3047, 1576, 106, 106, 4650, 23562, 1135, 2032, 3258, 1239, 8452, 6289, 1135, 13563, 1161, 1135, 1192, 127, 129, 2533, 2850, 134, 1135, 2977, 4960, 1161, 1135, 1192, 127, 126, 125, 2910, 1808, 2605, 1512, 1634, 1171, 1643, 19251, 1206, 1602, 2023, 3275, 3976, 7357, 488, 125, 123, 124, 124, 121, 1988, 2670, 194, 1129, 4971, 1870, 1285, 3813, 1135, 6540, 1161, 1135, 1165, 255, 10238, 3128, 1217, 1308, 3378, 2910, 488, 125, 123, 123, 131, 1171, 488, 125, 123, 124, 124, 121, 2192, 4960, 8647, 1163, 5732, 1135, 1192, 127, 125, 1446, 1135, 1192, 127, 129, 1171, 12497, 2079, 2036, 106, 106, 1598, 11276, 1323, 16675, 8291, 3551, 3047, 3627, 2458, 19562, 1808, 2605, 25576, 1297, 106, 106, 1598, 2908, 1456, 1164, 7960, 5117, 1161, 1135, 14664, 5804, 1140, 1171, 2358, 13974, 4991, 1161, 17023, 9489, 1758, 5970, 13618, 1147, 488, 125, 123, 124, 128, 119, 1602, 4593, 31407, 1147, 1808, 2605, 1512, 1634, 133, 1808, 2605, 1512, 1634, 6508, 119, 1293, 1532, 1197, 2605, 1512, 22074, 1808, 1539, 245, 21914, 19251, 1293, 10672, 1108, 3174, 9519, 2696, 119, 1171, 29712, 1333, 2566, 121, 106, 106, 9748, 8150, 196, 106, 1598, 3425, 1161, 1135, 7130, 1361, 2220, 1239, 19737, 1163, 4246, 1446, 15172, 11700, 109, 10545, 1235, 3527, 1149, 1523, 1110, 2262, 1161, 8108, 31179, 1175, 14781, 1147, 1222, 3622, 18421, 2463, 24554, 1449, 1110, 25020, 4494, 15172, 11700, 4095, 106, 106, 155, 7847, 3750, 1171, 17037, 106, 140, 17023, 23578, 1121, 1125, 20172, 1446, 14664, 5804, 1140, 1239, 16665, 11626, 1226, 1135, 22903, 31172, 106, 106, 144, 5341, 106, 1598, 7130, 1602, 1110, 5035, 2683, 12432, 1171, 4907, 1626, 3875, 133, 1135, 3699, 3840, 120, 3562, 4338, 1258, 2100, 3875, 134, 1341, 1463, 18504, 1136, 1589, 1238, 7327, 488, 128, 119, 488, 124, 132, 126, 128, 121, 106, 106, 142, 2748, 1171, 31051, 106, 106, 14798, 11153, 106, 140, 3447, 29335, 2576, 7197, 186, 1197, 2605, 1512, 22074, 5772, 1449, 2337, 7954, 1147, 1135, 22903, 23586, 1463, 8226, 3663, 5377, 1110, 1976, 1226, 488, 124, 127, 10805, 1988, 19132, 1147, 7871, 488, 125, 123, 125, 125, 121, 106, 106, 3956, 3501, 1171, 3335, 3375, 106, 1598, 1808, 2605, 1512, 1634, 1557, 2393, 119, 1921, 1641, 22465, 2754, 1239, 1110, 14347, 8108, 8463, 106, 106, 140, 8371, 1140, 1239, 8452, 6289, 1135, 1808, 2605, 1512, 1634, 1116, 1320, 1130, 1884, 121, 1988, 1463, 7406, 1147, 488, 124, 132, 127, 128, 133, 2979, 1302, 20122, 1226, 1144, 17386, 1171, 9531, 1474, 1285, 1135, 27550, 1701, 1161, 1808, 2605, 1512, 1634, 6312, 1163, 1352, 1452, 9236, 106, 106, 155, 26981, 2695, 16447, 1163, 1808, 2605, 1512, 1634, 106, 157, 1307, 1107, 30045, 9957, 1175, 124, 132, 126, 126, 120, 11037, 12770, 1595, 1121, 1171, 7444, 5661, 1239, 4558, 1147, 1808, 2605, 25576, 1297, 106, 106, 149, 27505, 1863, 11162, 2548, 1175, 124, 132, 124, 130, 120, 125, 123, 123, 128, 1496, 6924, 1171, 2491, 3945, 1121, 1161, 2605, 30590, 2772, 16156, 2447, 1267, 1171, 3647, 1659, 1959, 11479, 1161, 1135, 1863, 11162, 2548, 3918, 8553, 17720, 4558, 1147, 1135, 22903, 31172, 106, 106, 153, 11282, 1863, 1196, 7490, 2114, 1594, 1161, 1135, 22318, 2064, 4607, 20101, 31865, 1147, 1135, 16406, 4115, 1457, 106, 106, 2330, 7464, 12277, 13659, 7653, 1175, 124, 132, 129, 130, 120, 11037, 1850, 4790, 5868, 2060, 1765, 11432, 8128, 196, 13659, 7653, 1361, 10640, 1147, 1808, 2605, 1512, 1634, 17926, 2055, 18850, 1110, 19875, 5386, 4300, 1147, 488, 124, 132, 130, 130, 1576, 1459, 488, 125, 123, 124, 130, 119, 20705, 13659, 7653, 10229, 1302, 1765, 10640, 1463, 15160, 1808, 2605, 1512, 1634, 1226, 7163, 3847, 7013, 4772, 10640, 2055, 2023, 1147, 1808, 2605, 1512, 1634, 3976, 488, 124, 132, 123, 129, 121, 106, 106, 152, 7060, 1165, 1351, 1121, 11700, 119, 18021, 1161, 6780, 1165, 1351, 1121, 11700, 119, 1463, 1135, 1125, 24498, 1161, 1135, 1192, 1109, 1125, 1481, 1762, 2605, 184, 1399, 15021, 1660, 114, 25701, 7017, 106, 106, 4455, 2605, 1512, 1634, 1171, 1165, 20770, 106, 158, 1544, 27700, 1446, 1135, 3418, 2576, 1428, 185, 1237, 1129, 2025, 11731, 1147, 1808, 2605, 1512, 1634, 1355, 1135, 2283, 1161, 488, 125, 123, 125, 124, 119, 10220, 1161, 488, 125, 123, 125, 125, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 149, 2562, 1119, 1198, 2589, 6647, 6256, 2589, 6942, 488, 125, 130, 119, 488, 124, 132, 130, 126, 1147, 1202, 4520, 1132, 7972, 1239, 1110, 6459, 21798, 1943, 8801, 14791, 19219, 2489, 1657, 2133, 1602, 8522, 1156, 2127, 8560, 2241, 106, 106, 2809, 1287, 9932, 106, 3780, 8492, 1765, 12546, 9932, 1147, 488, 124, 132, 132, 123, 1324, 17575, 14570, 18639, 1147, 13897, 488, 124, 121, 2133, 3062, 1765, 5876, 1147, 3985, 1953, 1107, 1354, 1147, 488, 124, 132, 132, 126, 1324, 24375, 185, 239, 190, 18639, 121, 12409, 3162, 18775, 1386, 14010, 15419, 150, 1352, 3312, 1141, 1306, 24819, 2133, 30381, 1147, 488, 125, 123, 123, 124, 2470, 3337, 1281, 10508, 1324, 4732, 4234, 6214, 179, 2554, 182, 1297, 106, 106, 1428, 13200, 9932, 106, 3780, 16169, 21798, 1108, 1171, 9917, 1110, 10435, 3083, 1132, 1355, 1135, 488, 124, 132, 132, 131, 5055, 19047, 121, 106, 106, 2003, 22218, 106, 3952, 1135, 4934, 1972, 1161, 1135, 1522, 1829, 6221, 5422, 2795, 14791, 19219, 5770, 22075, 106, 106, 2809, 1287, 106, 106, 199, 488, 124, 132, 132, 123, 120, 124, 132, 132, 124, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 4949, 488, 126, 125, 4949, 488, 123, 4949, 488, 129, 4949, 488, 129, 4949, 488, 126, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 124, 120, 124, 132, 132, 125, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 2848, 488, 125, 132, 4949, 488, 128, 4949, 488, 124, 123, 4949, 488, 124, 128, 4949, 488, 126, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 125, 120, 124, 132, 132, 126, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 2848, 488, 126, 123, 4949, 488, 126, 4949, 488, 124, 123, 4949, 488, 124, 126, 4949, 488, 127, 123, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 126, 120, 124, 132, 132, 127, 4949, 24375, 185, 239, 190, 18639, 4949, 3985, 1953, 1107, 1354, 4949, 488, 124, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 127, 120, 124, 132, 132, 128, 4949, 24375, 185, 239, 190, 18639, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 130, 4949, 488, 124, 4949, 488, 124, 4949, 488, 125, 4949, 488, 125, 123, 4949, 488, 127, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 106, 199, 120, 106, 199, 488, 124, 132, 132, 128, 120, 124, 132, 132, 129, 4949, 15419, 150, 1352, 3312, 1141, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 131, 4949, 488, 123, 4949, 488, 130, 4949, 488, 130, 4949, 488, 128, 124, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 106, 199, 120, 106, 199, 488, 124, 132, 132, 129, 120, 124, 132, 132, 130, 4949, 15419, 150, 1352, 3312, 1141, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 127, 130, 4949, 488, 124, 125, 4949, 488, 131, 4949, 488, 125, 123, 4949, 488, 128, 123, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 106, 199, 120, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 4949, 15419, 150, 1352, 3312, 1141, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 124, 4949, 488, 127, 4949, 488, 130, 4949, 488, 124, 124, 4949, 488, 127, 124, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 4949, 4732, 4234, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 128, 123, 4949, 488, 124, 126, 4949, 488, 124, 123, 4949, 488, 125, 126, 4949, 488, 125, 131, 4949, 488, 130, 4949, 488, 124, 4949, 488, 127, 4949, 488, 128, 4949, 488, 124, 123, 106, 199, 120, 106, 199, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 4949, 4732, 4234, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 127, 125, 4949, 488, 124, 124, 4949, 488, 124, 128, 4949, 488, 125, 129, 4949, 488, 128, 123, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 4949, 4732, 4234, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 129, 4949, 488, 124, 123, 4949, 488, 124, 125, 4949, 488, 125, 125, 4949, 488, 124, 125, 4949, 488, 132, 4949, 488, 124, 4949, 488, 126, 4949, 488, 127, 4949, 488, 127, 106, 106, 1428, 13200, 106, 106, 199, 488, 124, 132, 132, 124, 2848, 21798, 1108, 28430, 2848, 1325, 149, 142, 4949, 488, 129, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 14560, 1276, 106, 199, 120, 106, 199, 488, 124, 132, 132, 126, 2848, 21798, 1108, 28430, 2848, 1325, 149, 142, 2848, 488, 130, 4949, 488, 124, 4949, 488, 124, 4949, 488, 125, 4949, 488, 124, 123, 4949, 23043, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 2848, 21798, 1108, 2848, 28056, 2848, 488, 132, 4949, 488, 125, 4949, 488, 123, 4949, 488, 125, 4949, 488, 127, 4949, 9106, 106, 106, 1891, 9520, 106, 106, 21320, 1959, 106, 106, 141, 2589, 1147, 6942, 488, 124, 132, 130, 126, 106, 25697, 1156, 1943, 4578, 14791, 19219, 7402, 106, 25697, 1156, 1943, 14791, 19219, 8560, 106, 14674, 1226, 24375, 185, 239, 190, 18639, 106, 14674, 1226, 4732, 4234, 6214, 179, 2554, 3583, 106, 14674, 1226, 15419, 150, 1352, 3312, 1141, 1306, 150, 106, 148, 1159, 19219, 5055, 22672, 106, 148, 1159, 19219, 16611, 1712, 114, 32001, 488, 106, 32000, 20036, 106, 149, 2562, 1119, 1198, 2589, 6647, 24051, 1170, 488, 125, 130, 2921, 488, 124, 132, 130, 126, 1188, 1202, 4520, 1132, 7972, 1299, 1189, 7271, 10952, 5843, 31767, 1517, 1125, 19219, 1300, 17866, 121, 1768, 1299, 12749, 23541, 9357, 106, 106, 20616, 4096, 1186, 5878, 106, 5164, 8718, 1186, 12546, 1186, 488, 124, 132, 132, 123, 1469, 1170, 17575, 14570, 18639, 1186, 13897, 488, 124, 121, 1768, 29779, 1679, 1186, 3985, 1953, 1107, 1354, 1186, 488, 124, 132, 132, 126, 1469, 1170, 24375, 185, 239, 190, 18639, 121, 1768, 16773, 2069, 2165, 1408, 7959, 1170, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 24819, 1768, 2367, 1189, 6706, 1188, 1561, 9245, 1186, 488, 125, 123, 123, 124, 2750, 3203, 26940, 1469, 1207, 4732, 184, 257, 6214, 179, 2554, 182, 1297, 106, 106, 20616, 4096, 10903, 488, 106, 5164, 1110, 31481, 1158, 26274, 121, 1768, 1299, 3320, 4586, 244, 16834, 1317, 16277, 1227, 2854, 488, 124, 132, 132, 131, 121, 106, 106, 2003, 12224, 488, 106, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 121, 106, 106, 1686, 5878, 488, 106, 106, 199, 488, 124, 132, 132, 123, 120, 124, 132, 132, 124, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 4949, 488, 126, 125, 4949, 488, 123, 4949, 488, 129, 4949, 488, 129, 4949, 488, 126, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 124, 120, 124, 132, 132, 125, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 2848, 488, 125, 132, 4949, 488, 128, 4949, 488, 124, 123, 4949, 488, 124, 128, 4949, 488, 126, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 125, 120, 124, 132, 132, 126, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 2848, 488, 126, 123, 4949, 488, 126, 4949, 488, 124, 123, 4949, 488, 124, 126, 4949, 488, 127, 123, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 126, 120, 124, 132, 132, 127, 4949, 24375, 185, 239, 190, 18639, 4949, 3985, 1953, 1107, 1354, 4949, 488, 124, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 127, 120, 124, 132, 132, 128, 4949, 24375, 185, 239, 190, 18639, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 130, 4949, 488, 124, 4949, 488, 124, 4949, 488, 125, 4949, 488, 125, 123, 4949, 488, 127, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 128, 120, 124, 132, 132, 129, 4949, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 131, 4949, 488, 123, 4949, 488, 130, 4949, 488, 130, 4949, 488, 128, 124, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 106, 199, 120, 106, 199, 488, 124, 132, 132, 129, 120, 124, 132, 132, 130, 4949, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 127, 130, 4949, 488, 124, 125, 4949, 488, 131, 4949, 488, 125, 123, 4949, 488, 128, 123, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 4949, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 124, 4949, 488, 127, 4949, 488, 130, 4949, 488, 124, 124, 4949, 488, 127, 124, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 4949, 4732, 184, 257, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 128, 123, 4949, 488, 124, 126, 4949, 488, 124, 123, 4949, 488, 125, 126, 4949, 488, 125, 131, 4949, 488, 130, 4949, 488, 124, 4949, 488, 127, 4949, 488, 128, 4949, 488, 124, 123, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 4949, 4732, 184, 257, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 127, 125, 4949, 488, 124, 124, 4949, 488, 124, 128, 4949, 488, 125, 129, 4949, 488, 128, 123, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 4949, 4732, 184, 257, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 129, 4949, 488, 124, 123, 4949, 488, 124, 125, 4949, 488, 125, 125, 4949, 488, 124, 125, 4949, 488, 132, 4949, 488, 124, 4949, 488, 126, 4949, 488, 127, 4949, 488, 127, 106, 106, 17971, 4041, 4578, 488, 106, 106, 199, 488, 124, 132, 132, 124, 2848, 26274, 28430, 2848, 6703, 28430, 2848, 488, 129, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 2722, 15016, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 126, 2848, 26274, 28430, 2848, 18650, 28430, 2848, 488, 130, 4949, 488, 124, 4949, 488, 124, 4949, 488, 125, 4949, 488, 124, 123, 4949, 488, 9915, 2961, 24019, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 2848, 26274, 2848, 18650, 2848, 488, 132, 4949, 488, 125, 4949, 488, 123, 4949, 488, 125, 4949, 488, 127, 4949, 488, 9915, 2961, 16834, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 153, 3400, 1186, 2921, 488, 124, 132, 130, 126, 106, 149, 12590, 4578, 31767, 1517, 1125, 19219, 1300, 17866, 106, 1686, 1935, 249, 12243, 31767, 1517, 1125, 19219, 1300, 17866, 106, 149, 12590, 1227, 24375, 185, 239, 190, 18639, 106, 149, 12590, 1197, 4732, 184, 257, 6214, 179, 2554, 3583, 106, 149, 12590, 1227, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 106, 2330, 1916, 1231, 1227, 2854, 1125, 19219, 1300, 17866, 106, 143, 3401, 1811, 1136, 1125, 19219, 1300, 17866, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 149, 2562, 1119, 1198, 2589, 6647, 24051, 1170, 488, 125, 130, 2921, 488, 124, 132, 130, 126, 1188, 1202, 4520, 1132, 7972, 1299, 1189, 7271, 10952, 5843, 31767, 1517, 1125, 19219, 1300, 17866, 121, 1768, 1299, 12749, 23541, 9357, 106, 106, 20616, 4096, 1186, 5878, 106, 5164, 8718, 1186, 12546, 1186, 488, 124, 132, 132, 123, 1469, 1170, 17575, 14570, 18639, 1186, 13897, 488, 124, 121, 1768, 29779, 1679, 1186, 3985, 1953, 1107, 1354, 1186, 488, 124, 132, 132, 126, 1469, 1170, 24375, 185, 239, 190, 18639, 121, 1768, 16773, 2069, 2165, 1408, 7959, 1170, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 24819, 1768, 2367, 1189, 6706, 1188, 1561, 9245, 1186, 488, 125, 123, 123, 124, 2750, 3203, 26940, 1469, 1207, 4732, 184, 257, 6214, 179, 2554, 182, 1297, 106, 106, 20616, 4096, 10903, 488, 106, 5164, 1110, 31481, 1158, 26274, 121, 1768, 1299, 3320, 4586, 244, 16834, 1317, 16277, 1227, 2854, 488, 124, 132, 132, 131, 121, 106, 106, 2003, 12224, 488, 106, 13766, 1207, 5199, 1430, 1197, 1522, 1568, 6221, 5422, 3775, 10624, 1227, 19219, 1300, 17866, 121, 106, 106, 1686, 5878, 488, 106, 106, 199, 488, 124, 132, 132, 123, 120, 124, 132, 132, 124, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 4949, 488, 126, 125, 4949, 488, 123, 4949, 488, 129, 4949, 488, 129, 4949, 488, 126, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 124, 120, 124, 132, 132, 125, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 2848, 488, 125, 132, 4949, 488, 128, 4949, 488, 124, 123, 4949, 488, 124, 128, 4949, 488, 126, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 125, 120, 124, 132, 132, 126, 4949, 17575, 14570, 18639, 2848, 13897, 488, 124, 2848, 488, 126, 123, 4949, 488, 126, 4949, 488, 124, 123, 4949, 488, 124, 126, 4949, 488, 127, 123, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 126, 120, 124, 132, 132, 127, 4949, 24375, 185, 239, 190, 18639, 4949, 3985, 1953, 1107, 1354, 4949, 488, 124, 124, 4949, 488, 123, 4949, 488, 124, 4949, 488, 124, 4949, 488, 129, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 127, 120, 124, 132, 132, 128, 4949, 24375, 185, 239, 190, 18639, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 130, 4949, 488, 124, 4949, 488, 124, 4949, 488, 125, 4949, 488, 125, 123, 4949, 488, 127, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 128, 120, 124, 132, 132, 129, 4949, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 131, 4949, 488, 123, 4949, 488, 130, 4949, 488, 130, 4949, 488, 128, 124, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 106, 199, 120, 106, 199, 488, 124, 132, 132, 129, 120, 124, 132, 132, 130, 4949, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 127, 130, 4949, 488, 124, 125, 4949, 488, 131, 4949, 488, 125, 123, 4949, 488, 128, 123, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 4949, 3082, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 130, 120, 124, 132, 132, 131, 4949, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 124, 4949, 488, 127, 4949, 488, 130, 4949, 488, 124, 124, 4949, 488, 127, 124, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 120, 124, 132, 132, 132, 4949, 4732, 184, 257, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 128, 123, 4949, 488, 124, 126, 4949, 488, 124, 123, 4949, 488, 125, 126, 4949, 488, 125, 131, 4949, 488, 130, 4949, 488, 124, 4949, 488, 127, 4949, 488, 128, 4949, 488, 124, 123, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 132, 120, 125, 123, 123, 123, 4949, 4732, 184, 257, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 127, 125, 4949, 488, 124, 124, 4949, 488, 124, 128, 4949, 488, 125, 129, 4949, 488, 128, 123, 4949, 2848, 2848, 2848, 2848, 488, 106, 199, 120, 106, 199, 488, 125, 123, 123, 123, 120, 125, 123, 123, 124, 4949, 4732, 184, 257, 6214, 179, 2554, 3583, 4949, 3985, 1953, 1107, 1354, 4949, 488, 126, 129, 4949, 488, 124, 123, 4949, 488, 124, 125, 4949, 488, 125, 125, 4949, 488, 124, 125, 4949, 488, 132, 4949, 488, 124, 4949, 488, 126, 4949, 488, 127, 4949, 488, 127, 106, 106, 17971, 4041, 4578, 488, 106, 106, 199, 488, 124, 132, 132, 124, 2848, 26274, 28430, 2848, 6703, 28430, 2848, 488, 129, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 488, 123, 4949, 2722, 15016, 106, 199, 120, 488, 106, 199, 488, 124, 132, 132, 126, 2848, 26274, 28430, 2848, 18650, 28430, 2848, 488, 130, 4949, 488, 124, 4949, 488, 124, 4949, 488, 125, 4949, 488, 124, 123, 4949, 488, 9915, 2961, 24019, 106, 199, 120, 106, 199, 488, 124, 132, 132, 131, 2848, 26274, 2848, 18650, 2848, 488, 132, 4949, 488, 125, 4949, 488, 123, 4949, 488, 125, 4949, 488, 127, 4949, 488, 9915, 2961, 16834, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 153, 3400, 1186, 2921, 488, 124, 132, 130, 126, 106, 149, 12590, 4578, 31767, 1517, 1125, 19219, 1300, 17866, 106, 1686, 1935, 249, 12243, 31767, 1517, 1125, 19219, 1300, 17866, 106, 149, 12590, 1227, 24375, 185, 239, 190, 18639, 106, 149, 12590, 1197, 4732, 184, 257, 6214, 179, 2554, 3583, 106, 149, 12590, 1227, 15419, 150, 1352, 239, 22439, 240, 190, 1306, 150, 106, 2330, 1916, 1231, 1227, 2854, 1125, 19219, 1300, 17866, 106, 143, 3401, 1811, 1136, 1125, 19219, 1300, 17866, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 114, 141, 4854, 7163, 1154, 176, 1175, 305, 7163, 189, 1637, 488, 305, 7163, 1154, 1965, 2986, 1299, 1318, 13471, 1399, 6134, 10019, 1188, 3997, 488, 132, 129, 123, 4092, 2992, 1255, 1774, 1313, 1158, 2227, 16377, 1125, 1158, 7163, 9770, 1233, 4854, 7163, 1154, 176, 4665, 2445, 1170, 1874, 26640, 23933, 2460, 3567, 1569, 1357, 10262, 1606, 13117, 1277, 1524, 1362, 1606, 10881, 1326, 4821, 2932, 1874, 1299, 6755, 4160, 1170, 488, 125, 124, 3201, 488, 125, 123, 124, 129, 1215, 14141, 20249, 27751, 7174, 5907, 106, 106, 14910, 1164, 6235, 488, 106, 106, 141, 4854, 7163, 1154, 176, 1299, 1189, 4367, 26242, 186, 3045, 1138, 10964, 21723, 2065, 1630, 1519, 244, 1188, 2609, 26347, 1104, 20723, 2519, 13471, 1399, 6431, 2009, 19483, 1632, 8642, 1277, 120, 2014, 3383, 5867, 131, 3463, 1496, 1233, 4854, 7163, 1154, 176, 1192, 172, 124, 1167, 2519, 13471, 1399, 22055, 12907, 1125, 2262, 21707, 1233, 4854, 7163, 1154, 176, 1192, 172, 125, 121, 1808, 2069, 20318, 1508, 5998, 15913, 1256, 1309, 1158, 5476, 1125, 1158, 5764, 1479, 1450, 1125, 14765, 2666, 1355, 3932, 1303, 2079, 24858, 2944, 15941, 1571, 20318, 1318, 4438, 1871, 26347, 17345, 175, 5907, 1233, 4854, 7163, 1154, 176, 1299, 1170, 30683, 1125, 1440, 2262, 1125, 15358, 1690, 1188, 2609, 6448, 5650, 2487, 1207, 3647, 2972, 1508, 1995, 15913, 19900, 1508, 1275, 1434, 1473, 1215, 1964, 30889, 7000, 3858, 11779, 4418, 2345, 31234, 1576, 106, 106, 3562, 29729, 3851, 1849, 1125, 1233, 4854, 7163, 1154, 176, 22072, 1125, 1563, 126, 119, 127, 1188, 1563, 127, 119, 129, 1300, 1318, 4927, 1125, 488, 124, 125, 119, 132, 123, 130, 128, 21039, 1808, 2069, 3647, 2972, 1125, 23887, 186, 1399, 11419, 1508, 1995, 15913, 19900, 1288, 2830, 1823, 2022, 1786, 1104, 1469, 1189, 1111, 19876, 174, 2249, 1858, 8640, 1830, 1199, 1318, 1138, 10964, 6374, 1150, 2865, 1273, 7165, 106, 106, 1686, 488, 125, 123, 123, 129, 119, 1189, 26785, 8922, 1186, 1858, 1960, 6889, 1985, 1110, 18687, 1389, 1189, 2638, 8483, 7177, 2114, 1233, 4854, 7163, 1154, 176, 3991, 121, 1768, 1110, 1913, 5391, 244, 1188, 1318, 29396, 8214, 4010, 1125, 488, 123, 119, 128, 127, 109, 1167, 1469, 1318, 29729, 2780, 1655, 1378, 1125, 1563, 127, 119, 128, 126, 121, 4060, 11641, 1186, 6354, 1123, 4119, 5251, 1450, 1309, 1594, 2262, 17268, 1132, 1299, 5749, 1313, 1318, 9443, 1233, 125, 3551, 128, 21229, 2932, 7177, 1105, 4014, 1370, 1125, 1233, 4854, 7163, 1154, 176, 1192, 1189, 4367, 21399, 21102, 7165, 106, 106, 27884, 3647, 2972, 1227, 4367, 488, 106, 2606, 4367, 11358, 2445, 1318, 16934, 13471, 7056, 1318, 1138, 10964, 1904, 3858, 11660, 1303, 1215, 1318, 6477, 8214, 4010, 1125, 488, 127, 128, 119, 127, 1523, 1125, 2262, 17268, 1132, 1233, 130, 161, 1167, 1125, 29729, 3851, 1849, 1125, 1563, 130, 119, 125, 1357, 1915, 1823, 5391, 1303, 24456, 2537, 1469, 1197, 1225, 1255, 27767, 3450, 1299, 3997, 488, 131, 123, 2768, 1408, 19483, 1632, 1309, 1170, 22728, 11127, 1653, 488, 124, 132, 129, 125, 119, 2399, 1110, 1913, 3822, 7329, 1856, 6058, 18901, 1318, 1138, 10964, 6374, 1150, 2865, 1273, 1460, 1469, 1318, 4927, 1125, 3336, 1582, 119, 1723, 3547, 1110, 2757, 1913, 1338, 30319, 16438, 6058, 3747, 3793, 1849, 1125, 1158, 488, 9891, 1227, 18066, 1197, 25818, 3077, 1125, 15358, 1690, 6374, 1150, 2865, 1273, 10772, 106, 106, 25280, 3213, 20318, 9192, 1199, 1170, 4367, 119, 13754, 1473, 1233, 4854, 7163, 1154, 176, 24477, 1222, 119, 1254, 1167, 1252, 119, 1508, 14014, 3521, 14093, 1313, 1207, 11517, 1813, 26242, 186, 3045, 2404, 3606, 1167, 13424, 1457, 2932, 1508, 2962, 1197, 7177, 1104, 1858, 11212, 2487, 1158, 11793, 3851, 1849, 1469, 1233, 4854, 7163, 1154, 176, 4249, 1309, 1904, 3858, 121, 1653, 18975, 1233, 4854, 7163, 1154, 176, 1252, 1299, 1318, 13471, 1399, 4148, 1125, 29729, 488, 124, 123, 119, 124, 129, 10019, 1188, 1318, 6477, 8214, 4010, 1125, 488, 131, 128, 121, 130, 109, 1125, 1233, 4854, 7163, 1154, 176, 7747, 1814, 2658, 22590, 1856, 9005, 3247, 1227, 4367, 1125, 1233, 4854, 7163, 1154, 1965, 1238, 9811, 9318, 1309, 1440, 4249, 1382, 1170, 2015, 121, 106, 106, 10853, 106, 106, 141, 13449, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 488, 125, 132, 3288, 1120, 20583, 1120, 106, 16867, 2941, 1121, 2990, 180, 106, 2397, 4854, 2602, 3511, 1156, 4735, 106, 106, 28870, 5825, 488, 106, 488, 106, 488, 15651, 1149, 1233, 4854, 7163, 1154, 176, 7524, 7836, 106, 488, 3676, 1333, 1569, 1238, 2068, 7910, 1438, 6181, 1122, 1707, 1120, 106, 488, 106, 106, 9460, 16377, 1125, 1158, 7163, 1112, 106, 158, 20744, 18592, 4000, 1629, 106, 141, 10964, 6374, 1150, 2865, 1273, 1460, 106, 224, 1845, 1399, 8266, 1125, 2262, 1233, 4854, 7163, 1154, 176, 106, 224, 1845, 1399, 1138, 10964, 1188, 3921, 106, 224, 1845, 1399, 1125, 2262, 17268, 1132, 1233, 3463, 106, 224, 1845, 1399, 1125, 2262, 17268, 1132, 1233, 161, 106, 151, 196, 1154, 1965, 1233, 4854, 106, 151, 196, 1154, 1965, 488, 124, 123, 106, 2744, 1843, 1227, 1233, 6820, 1222, 5583, 184, 6274, 3513, 106, 124, 130, 127, 129, 126, 131, 122, 129, 127, 106, 123, 132, 125, 127, 125, 123, 106, 130, 124, 123, 129, 114, 32001, 488, 106, 32000, 20036, 106, 141, 4854, 7163, 1154, 176, 1175, 305, 7163, 189, 1637, 488, 305, 7163, 1154, 23214, 1239, 1110, 6134, 4300, 2935, 8452, 16289, 488, 132, 129, 123, 4942, 3162, 5064, 1147, 1135, 2227, 16377, 1161, 7163, 29248, 1233, 4854, 7163, 1154, 176, 1239, 1959, 5388, 1449, 1135, 11015, 12983, 1146, 2220, 3676, 1333, 22429, 1758, 4918, 12191, 1249, 7269, 109, 1329, 10780, 7188, 4095, 2192, 2220, 1463, 28156, 17967, 1449, 1135, 5940, 1192, 2835, 3007, 1926, 8006, 1238, 6678, 488, 125, 124, 119, 488, 125, 123, 124, 129, 121, 106, 106, 13231, 106, 106, 141, 4854, 7163, 1154, 176, 1239, 1110, 21723, 2065, 1130, 6359, 4037, 26347, 1149, 13465, 4300, 2935, 12157, 1161, 1110, 15641, 10888, 120, 17503, 25113, 4300, 5867, 131, 3463, 1496, 1233, 4854, 7163, 1154, 176, 1192, 172, 124, 119, 1171, 1110, 20649, 4300, 7386, 1161, 2262, 21707, 1233, 4854, 7163, 1154, 176, 1192, 172, 125, 121, 1410, 2197, 14790, 1393, 6195, 5400, 1302, 5647, 1446, 1135, 5764, 25656, 1161, 1704, 4300, 1239, 31145, 1163, 1135, 25625, 10192, 1135, 14790, 1151, 1871, 26347, 6081, 1132, 1492, 26802, 1233, 4854, 7163, 1154, 176, 1239, 1135, 30683, 1161, 1413, 2262, 1161, 4037, 26347, 1149, 13465, 119, 2468, 1135, 13816, 1393, 1540, 6195, 1302, 1799, 1393, 2328, 5459, 1449, 1789, 7000, 2113, 30889, 1175, 1232, 1141, 1136, 4835, 1540, 1576, 106, 106, 1598, 22763, 29729, 1161, 1233, 4854, 7163, 1154, 176, 2739, 1429, 1446, 1563, 126, 121, 127, 1163, 1563, 127, 121, 129, 2060, 1110, 5529, 1161, 488, 124, 125, 121, 132, 123, 130, 128, 22896, 1410, 2197, 13816, 1161, 1135, 2274, 4300, 1393, 1540, 6195, 6135, 1302, 1799, 6056, 1280, 1432, 13972, 1324, 1151, 1858, 3043, 7200, 8722, 10463, 1830, 1149, 1110, 6374, 1150, 2865, 19092, 13465, 121, 106, 106, 1428, 488, 125, 123, 123, 129, 119, 1151, 8482, 1761, 1858, 3750, 16148, 25247, 1110, 2638, 4823, 5306, 4986, 1233, 4854, 7163, 1154, 176, 3991, 121, 1988, 1463, 16591, 1355, 1151, 8214, 2344, 1281, 5606, 1161, 488, 123, 121, 128, 127, 109, 1171, 1324, 1110, 2685, 4193, 29729, 1161, 1563, 127, 121, 128, 126, 121, 2192, 29729, 9614, 21617, 2019, 17268, 1132, 2262, 1239, 4230, 1135, 2933, 1161, 1233, 125, 3551, 128, 21229, 2192, 5306, 1231, 2098, 2440, 1233, 4854, 7163, 1154, 176, 1192, 1110, 15569, 2528, 1926, 21399, 16395, 106, 106, 25344, 13816, 1161, 1135, 2935, 106, 106, 1598, 2935, 1959, 1602, 1110, 12223, 4300, 119, 1110, 11685, 13465, 19027, 1449, 1151, 8214, 2344, 6477, 1161, 488, 127, 128, 121, 127, 1523, 1324, 1110, 17268, 1132, 2262, 1233, 130, 161, 1171, 1151, 22763, 29729, 1161, 1563, 130, 121, 125, 1758, 1526, 1280, 10664, 16591, 1324, 15358, 1237, 2344, 1297, 1988, 1239, 1905, 488, 131, 123, 5377, 1792, 6126, 1109, 1212, 2095, 1135, 6503, 121, 1459, 488, 124, 132, 129, 125, 119, 1341, 1463, 14422, 1296, 1110, 6374, 1150, 2865, 19092, 13465, 8300, 1324, 1110, 5529, 1161, 3336, 13963, 1663, 1413, 1602, 3976, 2023, 6115, 5063, 119, 1375, 4835, 3793, 1129, 1446, 1135, 3224, 16794, 1161, 1135, 6374, 1150, 2865, 19092, 13465, 1329, 5982, 11517, 121, 106, 106, 25344, 14790, 5000, 2721, 1149, 1135, 16462, 3195, 1589, 1233, 4854, 7163, 1154, 176, 24477, 1222, 119, 1254, 119, 1171, 1252, 119, 1393, 14347, 1147, 4415, 1171, 6134, 4300, 11517, 1297, 3842, 1393, 1543, 1858, 3043, 5306, 27634, 1324, 1789, 22763, 9579, 1406, 1163, 1233, 4854, 7163, 1154, 176, 3026, 2155, 11685, 121, 13425, 2496, 5653, 1233, 4854, 7163, 1154, 176, 1252, 1239, 1151, 4148, 4300, 1324, 29729, 488, 124, 123, 121, 124, 129, 8452, 1355, 1151, 8214, 2344, 6477, 1161, 488, 131, 128, 121, 130, 109, 1446, 1233, 4854, 7163, 1154, 176, 7747, 14626, 8261, 1910, 1161, 1135, 1233, 4854, 7163, 1154, 176, 16462, 1341, 1239, 2692, 5388, 1375, 1163, 1280, 1135, 27075, 106, 106, 1891, 9520, 106, 106, 141, 4807, 11114, 106, 106, 21320, 1959, 106, 106, 12225, 1589, 3760, 106, 106, 26722, 14520, 106, 106, 27578, 1149, 1233, 4854, 7163, 1154, 176, 7524, 7836, 106, 30559, 1333, 1569, 1238, 2068, 7910, 1438, 6181, 1122, 1707, 1120, 106, 106, 151, 196, 1154, 13635, 16377, 106, 2834, 1217, 4000, 1629, 2935, 106, 158, 3986, 1150, 2865, 19092, 13465, 106, 141, 4854, 7163, 1154, 176, 2262, 8266, 4300, 106, 21525, 13465, 4300, 106, 12807, 1216, 1132, 2262, 1233, 3463, 4300, 106, 12807, 1216, 1132, 2262, 1233, 161, 4300, 106, 151, 196, 1154, 1965, 1233, 4854, 106, 151, 196, 1154, 1965, 488, 124, 123, 106, 141, 6820, 1222, 5583, 184, 6274, 3513, 3669, 106, 124, 130, 127, 129, 126, 131, 122, 129, 127, 106, 123, 132, 125, 127, 125, 123, 106, 130, 124, 123, 129, 4297, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 141, 4854, 7163, 1154, 176, 1175, 305, 7163, 189, 1637, 488, 305, 7163, 1154, 23214, 1239, 1110, 6134, 4300, 2935, 8452, 16289, 488, 132, 129, 123, 4942, 3162, 5064, 1147, 1135, 2227, 16377, 1161, 7163, 29248, 1233, 4854, 7163, 1154, 176, 1239, 1959, 5388, 1449, 1135, 11015, 12983, 1146, 2220, 3676, 1333, 22429, 1758, 4918, 12191, 1249, 7269, 109, 1329, 10780, 7188, 4095, 2192, 2220, 1463, 28156, 17967, 1449, 1135, 5940, 1192, 2835, 3007, 1926, 8006, 1238, 6678, 488, 125, 124, 119, 488, 125, 123, 124, 129, 121, 106, 106, 13231, 106, 106, 141, 4854, 7163, 1154, 176, 1239, 1110, 21723, 2065, 1130, 6359, 4037, 26347, 1149, 13465, 4300, 2935, 12157, 1161, 1110, 15641, 10888, 120, 17503, 25113, 4300, 5867, 131, 3463, 1496, 1233, 4854, 7163, 1154, 176, 1192, 172, 124, 119, 1171, 1110, 20649, 4300, 7386, 1161, 2262, 21707, 1233, 4854, 7163, 1154, 176, 1192, 172, 125, 121, 1410, 2197, 14790, 1393, 6195, 5400, 1302, 5647, 1446, 1135, 5764, 25656, 1161, 1704, 4300, 1239, 31145, 1163, 1135, 25625, 10192, 1135, 14790, 1151, 1871, 26347, 6081, 1132, 1492, 26802, 1233, 4854, 7163, 1154, 176, 1239, 1135, 30683, 1161, 1413, 2262, 1161, 4037, 26347, 1149, 13465, 119, 2468, 1135, 13816, 1393, 1540, 6195, 1302, 1799, 1393, 2328, 5459, 1449, 1789, 7000, 2113, 30889, 1175, 1232, 1141, 1136, 4835, 1540, 1576, 106, 106, 1598, 22763, 29729, 1161, 1233, 4854, 7163, 1154, 176, 2739, 1429, 1446, 1563, 126, 121, 127, 1163, 1563, 127, 121, 129, 2060, 1110, 5529, 1161, 488, 124, 125, 121, 132, 123, 130, 128, 22896, 1410, 2197, 13816, 1161, 1135, 2274, 4300, 1393, 1540, 6195, 6135, 1302, 1799, 6056, 1280, 1432, 13972, 1324, 1151, 1858, 3043, 7200, 8722, 10463, 1830, 1149, 1110, 6374, 1150, 2865, 19092, 13465, 121, 106, 106, 1428, 488, 125, 123, 123, 129, 119, 1151, 8482, 1761, 1858, 3750, 16148, 25247, 1110, 2638, 4823, 5306, 4986, 1233, 4854, 7163, 1154, 176, 3991, 121, 1988, 1463, 16591, 1355, 1151, 8214, 2344, 1281, 5606, 1161, 488, 123, 121, 128, 127, 109, 1171, 1324, 1110, 2685, 4193, 29729, 1161, 1563, 127, 121, 128, 126, 121, 2192, 29729, 9614, 21617, 2019, 17268, 1132, 2262, 1239, 4230, 1135, 2933, 1161, 1233, 125, 3551, 128, 21229, 2192, 5306, 1231, 2098, 2440, 1233, 4854, 7163, 1154, 176, 1192, 1110, 15569, 2528, 1926, 21399, 16395, 106, 106, 25344, 13816, 1161, 1135, 2935, 106, 106, 1598, 2935, 1959, 1602, 1110, 12223, 4300, 119, 1110, 11685, 13465, 19027, 1449, 1151, 8214, 2344, 6477, 1161, 488, 127, 128, 121, 127, 1523, 1324, 1110, 17268, 1132, 2262, 1233, 130, 161, 1171, 1151, 22763, 29729, 1161, 1563, 130, 121, 125, 1758, 1526, 1280, 10664, 16591, 1324, 15358, 1237, 2344, 1297, 1988, 1239, 1905, 488, 131, 123, 5377, 1792, 6126, 1109, 1212, 2095, 1135, 6503, 121, 1459, 488, 124, 132, 129, 125, 119, 1341, 1463, 14422, 1296, 1110, 6374, 1150, 2865, 19092, 13465, 8300, 1324, 1110, 5529, 1161, 3336, 13963, 1663, 1413, 1602, 3976, 2023, 6115, 5063, 119, 1375, 4835, 3793, 1129, 1446, 1135, 3224, 16794, 1161, 1135, 6374, 1150, 2865, 19092, 13465, 1329, 5982, 11517, 121, 106, 106, 25344, 14790, 5000, 2721, 1149, 1135, 16462, 3195, 1589, 1233, 4854, 7163, 1154, 176, 24477, 1222, 119, 1254, 119, 1171, 1252, 119, 1393, 14347, 1147, 4415, 1171, 6134, 4300, 11517, 1297, 3842, 1393, 1543, 1858, 3043, 5306, 27634, 1324, 1789, 22763, 9579, 1406, 1163, 1233, 4854, 7163, 1154, 176, 3026, 2155, 11685, 121, 13425, 2496, 5653, 1233, 4854, 7163, 1154, 176, 1252, 1239, 1151, 4148, 4300, 1324, 29729, 488, 124, 123, 121, 124, 129, 8452, 1355, 1151, 8214, 2344, 6477, 1161, 488, 131, 128, 121, 130, 109, 1446, 1233, 4854, 7163, 1154, 176, 7747, 14626, 8261, 1910, 1161, 1135, 1233, 4854, 7163, 1154, 176, 16462, 1341, 1239, 2692, 5388, 1375, 1163, 1280, 1135, 27075, 106, 106, 1891, 9520, 106, 106, 141, 4807, 11114, 106, 106, 21320, 1959, 106, 106, 12225, 1589, 3760, 106, 106, 26722, 14520, 106, 106, 27578, 1149, 1233, 4854, 7163, 1154, 176, 7524, 7836, 106, 30559, 1333, 1569, 1238, 2068, 7910, 1438, 6181, 1122, 1707, 1120, 106, 106, 151, 196, 1154, 13635, 16377, 106, 2834, 1217, 4000, 1629, 2935, 106, 158, 3986, 1150, 2865, 19092, 13465, 106, 141, 4854, 7163, 1154, 176, 2262, 8266, 4300, 106, 21525, 13465, 4300, 106, 12807, 1216, 1132, 2262, 1233, 3463, 4300, 106, 12807, 1216, 1132, 2262, 1233, 161, 4300, 106, 151, 196, 1154, 1965, 1233, 4854, 106, 151, 196, 1154, 1965, 488, 124, 123, 106, 141, 6820, 1222, 5583, 184, 6274, 3513, 3669, 106, 124, 130, 127, 129, 126, 131, 122, 129, 127, 106, 123, 132, 125, 127, 125, 123, 106, 130, 124, 123, 129, 4297, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1521, 1959, 5388, 1296, 1248, 1502, 7480, 2078, 1233, 2645, 2086, 1239, 1110, 6446, 1161, 4942, 10704, 190, 6794, 1449, 2460, 1109, 9827, 1165, 1383, 182, 1287, 186, 1171, 10956, 1589, 1449, 1518, 11818, 1193, 1943, 180, 1171, 2031, 1210, 2036, 1988, 1602, 2023, 8226, 1147, 9844, 3976, 488, 125, 123, 124, 132, 1449, 7783, 142, 3463, 10239, 7010, 1297, 1192, 13010, 172, 22412, 10956, 1589, 1449, 1671, 289, 2716, 1347, 24212, 2194, 23621, 1463, 17765, 1147, 1204, 25465, 22762, 108, 1446, 488, 125, 123, 125, 123, 1163, 488, 125, 123, 125, 124, 121, 19292, 6446, 2591, 2754, 17765, 1446, 488, 125, 123, 125, 124, 1163, 488, 125, 123, 125, 125, 1171, 10956, 1589, 1449, 1173, 280, 1266, 1889, 4849, 3266, 1645, 27639, 22412, 11992, 1449, 1350, 165, 15804, 1602, 2023, 4184, 1149, 1147, 9844, 1238, 26855, 1204, 163, 3976, 488, 125, 123, 125, 125, 121, 106, 106, 158, 31751, 106, 4161, 1147, 1151, 6228, 1230, 22996, 1301, 5301, 2124, 1310, 6075, 3100, 1135, 14498, 1239, 13210, 5757, 1449, 1177, 1502, 119, 1110, 9343, 1269, 1264, 5819, 1302, 1947, 1150, 3436, 7421, 1341, 7366, 1346, 3813, 2810, 13609, 15065, 1220, 14416, 19466, 1269, 6905, 1341, 6227, 1446, 2493, 179, 5671, 7755, 1457, 1459, 3264, 1163, 5591, 1765, 2511, 177, 3179, 1446, 1413, 10832, 119, 1233, 13886, 11818, 1219, 9981, 2433, 1110, 2493, 179, 5671, 7738, 28216, 1324, 1765, 25113, 6335, 173, 11818, 1178, 1193, 2554, 1810, 11748, 1806, 1324, 1110, 6176, 11622, 9463, 7829, 186, 1266, 2296, 1487, 1119, 16050, 1163, 5516, 1226, 1135, 19448, 1626, 2493, 179, 5671, 1302, 1239, 2346, 1163, 1971, 1157, 1543, 14205, 1161, 1177, 1502, 119, 11078, 1219, 2461, 1670, 8210, 106, 106, 7914, 1551, 1201, 106, 106, 28607, 10704, 106, 1598, 6446, 1239, 6794, 1449, 2460, 1109, 9827, 1165, 1383, 182, 1287, 186, 1171, 10956, 1589, 1449, 1518, 11818, 1193, 1943, 180, 1171, 2031, 1210, 2036, 1459, 6075, 3100, 1135, 1940, 7674, 1463, 8226, 1449, 7783, 142, 3463, 10239, 7010, 190, 1238, 7327, 488, 125, 128, 119, 488, 125, 123, 124, 132, 2670, 1135, 1222, 8072, 7901, 1233, 4876, 186, 6009, 121, 1410, 488, 132, 1276, 7674, 1463, 8226, 1238, 7262, 488, 124, 123, 119, 488, 125, 123, 125, 124, 121, 106, 106, 2474, 1161, 20857, 106, 106, 152, 25465, 106, 2439, 22412, 1161, 1135, 4942, 10704, 1296, 1110, 13010, 172, 6446, 10956, 1589, 1449, 1671, 289, 2716, 1347, 24212, 2194, 23621, 1463, 15763, 5409, 4204, 17671, 1653, 1757, 1361, 13010, 172, 20226, 3603, 1204, 25465, 22762, 108, 119, 1238, 5696, 488, 129, 119, 488, 125, 123, 125, 123, 121, 1410, 6446, 15200, 1238, 6384, 488, 127, 119, 488, 125, 123, 125, 124, 1171, 1463, 18947, 2127, 3663, 20737, 280, 6383, 3035, 1255, 1457, 106, 106, 140, 2423, 6446, 11179, 1135, 1940, 1324, 1173, 280, 1266, 1889, 27311, 1296, 1135, 10956, 14190, 1988, 1463, 8226, 1446, 7327, 488, 124, 130, 119, 488, 125, 123, 125, 124, 1163, 6384, 488, 124, 129, 119, 488, 125, 123, 125, 125, 121, 1988, 1463, 18947, 2127, 3337, 20737, 280, 6383, 20857, 1171, 1135, 2977, 7674, 1463, 9578, 1238, 6942, 488, 132, 119, 488, 125, 123, 125, 125, 121, 106, 106, 2474, 1161, 20857, 106, 106, 17859, 488, 124, 106, 106, 17859, 488, 125, 106, 106, 2439, 1587, 106, 2439, 27639, 22412, 1463, 10229, 1238, 6942, 488, 125, 127, 119, 488, 125, 123, 125, 125, 3545, 1222, 8072, 7901, 1233, 4876, 2181, 1410, 6446, 1239, 3719, 1589, 1449, 15804, 1350, 165, 1171, 18840, 1449, 1192, 1634, 2955, 180, 1988, 1193, 1569, 2433, 1324, 30232, 1242, 27311, 11089, 1558, 1296, 1135, 8120, 12727, 1657, 1192, 180, 3187, 1662, 1171, 1209, 182, 1662, 6220, 8966, 1135, 5080, 23773, 1171, 1671, 289, 3166, 1518, 1783, 186, 1171, 1306, 1109, 28492, 1198, 8523, 17174, 196, 5224, 19193, 1135, 4501, 1226, 1135, 1714, 6099, 1410, 6446, 8492, 4184, 1149, 1238, 7357, 488, 128, 119, 488, 125, 123, 125, 125, 1238, 1135, 16375, 10305, 26855, 1204, 10818, 11179, 1449, 1233, 158, 124, 124, 1171, 1251, 191, 12160, 1459, 6556, 1135, 6446, 1239, 26463, 1449, 1325, 1569, 7180, 1171, 1165, 5342, 1210, 196, 3538, 121, 1459, 4125, 1163, 1135, 5379, 1994, 2052, 2128, 3451, 119, 1135, 6446, 1239, 1959, 1227, 4223, 1156, 1147, 9197, 121, 106, 106, 144, 2939, 190, 1135, 12306, 14121, 2352, 2128, 18243, 19893, 1579, 1350, 1845, 1173, 4735, 1518, 2461, 18883, 1558, 1523, 2884, 1306, 1109, 1514, 9161, 4384, 1171, 1266, 1889, 27311, 1306, 4436, 176, 2939, 1135, 22565, 14121, 2352, 2128, 8984, 280, 182, 280, 109, 1147, 1789, 14382, 1708, 11602, 106, 106, 2474, 1161, 6181, 13456, 106, 106, 1891, 9520, 106, 106, 26722, 14520, 106, 7089, 11076, 4877, 1226, 1135, 4942, 10704, 106, 7089, 11076, 4877, 1226, 1135, 27639, 106, 106, 158, 5319, 1161, 4942, 10704, 190, 106, 152, 25465, 6446, 106, 4506, 280, 185, 1108, 13010, 172, 106, 125, 123, 125, 123, 190, 13010, 172, 106, 19379, 17568, 1204, 163, 7081, 106, 149, 28832, 1983, 3719, 1589, 6446, 106, 125, 123, 125, 123, 190, 16375, 16140, 6446, 106, 162, 1569, 7180, 7081, 106, 142, 5342, 1210, 196, 3538, 7081, 32001, 488, 106, 32000, 20036, 106, 119, 9918, 2445, 2290, 1170, 1874, 1125, 1248, 1502, 7480, 2078, 1233, 2645, 2086, 1299, 1318, 4726, 1125, 4942, 10704, 17989, 1215, 2460, 1109, 9827, 1165, 1383, 182, 1287, 186, 1167, 10956, 1303, 1215, 1518, 11818, 1193, 1943, 180, 1167, 2031, 1210, 2036, 3450, 1299, 18078, 1317, 14506, 2757, 488, 125, 123, 124, 132, 1215, 7783, 142, 3463, 10239, 7010, 1297, 3559, 22412, 13010, 172, 10956, 1303, 1215, 1671, 289, 2716, 1347, 24212, 2194, 2215, 2433, 1299, 17656, 2329, 1303, 1313, 1170, 1204, 25465, 22762, 108, 1125, 488, 125, 123, 125, 123, 22571, 488, 125, 123, 125, 124, 121, 3559, 3419, 4726, 2435, 1844, 3011, 1167, 1110, 1913, 17656, 2329, 1303, 1125, 488, 125, 123, 125, 124, 1188, 488, 125, 123, 125, 125, 119, 10956, 1303, 1816, 2768, 4112, 1215, 1173, 280, 1266, 1889, 4849, 3266, 3559, 22412, 1186, 4726, 23170, 1304, 15673, 30631, 1215, 1170, 13553, 1350, 165, 1299, 29571, 2757, 1170, 488, 125, 123, 125, 125, 1300, 26855, 1204, 163, 1317, 6075, 3847, 106, 106, 158, 31751, 488, 106, 158, 1123, 6452, 1313, 1189, 14506, 6228, 3193, 22996, 1301, 5301, 2124, 8640, 1158, 7877, 1299, 13210, 28763, 1215, 1158, 4089, 9992, 1318, 1113, 9242, 4541, 1378, 1357, 1844, 4089, 3579, 1667, 1440, 7230, 14072, 119, 1251, 5749, 1207, 12269, 1297, 4466, 8176, 4932, 1129, 1188, 13117, 119, 7230, 2074, 1888, 1125, 1499, 4731, 1125, 4322, 16460, 1297, 21262, 1125, 23205, 1594, 2511, 3130, 1450, 1125, 1816, 6269, 2620, 1233, 13886, 11818, 1219, 9981, 2433, 1189, 24526, 1108, 1125, 4322, 23654, 1469, 1594, 6335, 1897, 6431, 1199, 11818, 1178, 1193, 2554, 1810, 4256, 4924, 1469, 1189, 6018, 12304, 1227, 1874, 1125, 7829, 186, 1266, 2296, 1487, 1119, 16050, 1256, 3862, 1188, 1158, 3370, 1227, 2593, 1274, 1369, 4322, 16460, 14951, 244, 16681, 4420, 2962, 1207, 12149, 1125, 4089, 1415, 1606, 1548, 16681, 1121, 1118, 1415, 1524, 7202, 158, 1219, 2461, 1670, 6012, 106, 106, 155, 7849, 1741, 106, 106, 28607, 10704, 488, 106, 3562, 4726, 1299, 17989, 1215, 2460, 1109, 9827, 1165, 1383, 182, 1287, 186, 1167, 10956, 1303, 1215, 1518, 11818, 1193, 1943, 180, 1167, 2031, 1210, 2036, 3767, 6075, 2114, 1170, 3151, 7674, 1110, 1913, 9053, 1215, 7783, 142, 3463, 10239, 7010, 190, 1170, 488, 125, 128, 2875, 488, 125, 123, 124, 132, 2290, 1170, 6009, 1222, 8072, 7901, 1233, 4876, 2181, 1548, 488, 132, 2247, 7674, 1110, 1913, 9053, 1170, 488, 124, 123, 2584, 488, 125, 123, 125, 124, 121, 106, 106, 151, 2038, 1197, 20857, 488, 106, 106, 199, 200, 106, 106, 152, 25465, 488, 106, 2029, 22412, 1186, 13010, 172, 1227, 4942, 10704, 1469, 1318, 3453, 4726, 10956, 1303, 1215, 1671, 289, 2716, 1347, 24212, 2194, 23621, 1299, 10152, 1303, 1186, 3028, 4204, 1170, 12574, 13010, 172, 1186, 3028, 1125, 17671, 1653, 22165, 1204, 25465, 22762, 1590, 119, 2757, 1170, 488, 129, 2829, 488, 125, 123, 125, 123, 121, 1643, 4726, 8135, 5503, 1303, 1170, 488, 127, 2798, 488, 125, 123, 125, 124, 121, 3450, 1110, 1913, 13579, 7052, 1186, 5999, 20857, 1186, 4561, 20737, 280, 173, 3847, 106, 106, 4298, 6311, 4726, 1844, 3011, 1188, 1158, 3453, 1469, 1816, 2768, 4112, 1173, 280, 1266, 1889, 27311, 1317, 4615, 4537, 3450, 1110, 1913, 18078, 1188, 3862, 1227, 488, 124, 130, 2875, 488, 125, 123, 125, 124, 1167, 8135, 5503, 1303, 1170, 488, 124, 129, 2798, 488, 125, 123, 125, 125, 121, 3450, 1110, 1913, 13579, 7052, 1186, 3203, 20857, 1186, 4561, 20737, 280, 6383, 1167, 1170, 4755, 7674, 1299, 9665, 1170, 488, 132, 2921, 488, 125, 123, 125, 125, 121, 106, 106, 151, 2038, 1197, 20857, 106, 106, 155, 14736, 488, 124, 488, 106, 106, 199, 200, 106, 106, 2951, 4094, 488, 125, 488, 106, 106, 199, 200, 106, 106, 2439, 1587, 488, 106, 4298, 22412, 1186, 27639, 1299, 19830, 1303, 1170, 488, 125, 127, 2921, 488, 125, 123, 125, 125, 3672, 1170, 1222, 8072, 7901, 1233, 4876, 2181, 1643, 4726, 1299, 3719, 1303, 1215, 1170, 13553, 1350, 165, 1167, 15633, 1215, 1192, 1634, 2955, 180, 1988, 1193, 1569, 2433, 1469, 30232, 1242, 27311, 11089, 1558, 1186, 4083, 1309, 12354, 1124, 23767, 1192, 180, 3187, 1662, 1167, 1209, 182, 1662, 6220, 2368, 9848, 1199, 1227, 3195, 1197, 14115, 1167, 1671, 289, 3166, 1518, 1783, 186, 1167, 1306, 1109, 28492, 1198, 8523, 17174, 196, 5224, 3647, 1199, 1158, 7585, 1125, 1158, 1114, 1550, 2596, 1643, 4726, 1299, 29571, 1188, 3862, 1227, 488, 128, 2822, 488, 125, 123, 125, 125, 1300, 1158, 13168, 12273, 4964, 26855, 1204, 163, 2648, 1300, 1233, 158, 124, 124, 1167, 1251, 191, 12160, 1653, 6556, 1158, 4726, 1299, 11833, 7329, 1215, 1325, 1569, 7180, 1167, 1165, 5342, 1210, 196, 3538, 121, 1653, 1408, 1125, 1158, 3451, 17482, 11566, 1117, 1216, 2806, 1158, 4726, 1299, 2445, 19410, 1303, 1186, 29679, 175, 1287, 1186, 24610, 106, 106, 144, 2623, 11925, 4326, 1170, 2175, 4528, 1125, 4319, 24137, 1518, 19893, 1579, 1350, 1845, 1173, 4735, 1518, 2461, 18883, 15862, 11781, 1309, 1306, 1109, 1514, 9161, 4384, 1167, 1266, 1889, 27311, 1306, 4436, 176, 11925, 243, 24188, 1170, 2175, 4528, 1125, 1622, 24137, 1306, 280, 182, 280, 1313, 2770, 29865, 5133, 1533, 1297, 106, 106, 151, 2038, 1197, 21299, 488, 106, 106, 199, 200, 106, 106, 20634, 1167, 5474, 106, 106, 20310, 1430, 106, 106, 10853, 106, 106, 282, 19760, 488, 106, 2605, 1974, 12273, 4964, 106, 18543, 2461, 1670, 1233, 13886, 13605, 10704, 106, 106, 18543, 2461, 1670, 1233, 13886, 1204, 25465, 1778, 4094, 488, 124, 106, 106, 18543, 2461, 1670, 1233, 13886, 1204, 25465, 1778, 4094, 488, 125, 106, 106, 28870, 5825, 488, 106, 488, 1227, 4942, 10704, 106, 488, 1125, 13834, 1587, 106, 488, 106, 488, 106, 106, 158, 2974, 1125, 4942, 10704, 190, 106, 158, 2974, 13010, 172, 106, 4506, 280, 185, 1108, 13010, 172, 106, 152, 25465, 1197, 4092, 488, 125, 123, 125, 123, 106, 224, 4696, 29571, 1300, 26855, 1204, 163, 106, 158, 2974, 1304, 15673, 12273, 4964, 106, 158, 2974, 23170, 12273, 4964, 1197, 4092, 488, 125, 123, 125, 123, 106, 158, 2974, 29571, 1300, 1325, 1569, 7180, 106, 158, 2974, 29571, 1300, 1165, 5342, 1210, 196, 3538, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 119, 9918, 2445, 2290, 1170, 1874, 1125, 1248, 1502, 7480, 2078, 1233, 2645, 2086, 1299, 1318, 4726, 1125, 4942, 10704, 17989, 1215, 2460, 1109, 9827, 1165, 1383, 182, 1287, 186, 1167, 10956, 1303, 1215, 1518, 11818, 1193, 1943, 180, 1167, 2031, 1210, 2036, 3450, 1299, 18078, 1317, 14506, 2757, 488, 125, 123, 124, 132, 1215, 7783, 142, 3463, 10239, 7010, 1297, 3559, 22412, 13010, 172, 10956, 1303, 1215, 1671, 289, 2716, 1347, 24212, 2194, 2215, 2433, 1299, 17656, 2329, 1303, 1313, 1170, 1204, 25465, 22762, 108, 1125, 488, 125, 123, 125, 123, 22571, 488, 125, 123, 125, 124, 121, 3559, 3419, 4726, 2435, 1844, 3011, 1167, 1110, 1913, 17656, 2329, 1303, 1125, 488, 125, 123, 125, 124, 1188, 488, 125, 123, 125, 125, 119, 10956, 1303, 1816, 2768, 4112, 1215, 1173, 280, 1266, 1889, 4849, 3266, 3559, 22412, 1186, 4726, 23170, 1304, 15673, 30631, 1215, 1170, 13553, 1350, 165, 1299, 29571, 2757, 1170, 488, 125, 123, 125, 125, 1300, 26855, 1204, 163, 1317, 6075, 3847, 106, 106, 158, 31751, 488, 106, 158, 1123, 6452, 1313, 1189, 14506, 6228, 3193, 22996, 1301, 5301, 2124, 8640, 1158, 7877, 1299, 13210, 28763, 1215, 1158, 4089, 9992, 1318, 1113, 9242, 4541, 1378, 1357, 1844, 4089, 3579, 1667, 1440, 7230, 14072, 119, 1251, 5749, 1207, 12269, 1297, 4466, 8176, 4932, 1129, 1188, 13117, 119, 7230, 2074, 1888, 1125, 1499, 4731, 1125, 4322, 16460, 1297, 21262, 1125, 23205, 1594, 2511, 3130, 1450, 1125, 1816, 6269, 2620, 1233, 13886, 11818, 1219, 9981, 2433, 1189, 24526, 1108, 1125, 4322, 23654, 1469, 1594, 6335, 1897, 6431, 1199, 11818, 1178, 1193, 2554, 1810, 4256, 4924, 1469, 1189, 6018, 12304, 1227, 1874, 1125, 7829, 186, 1266, 2296, 1487, 1119, 16050, 1256, 3862, 1188, 1158, 3370, 1227, 2593, 1274, 1369, 4322, 16460, 14951, 244, 16681, 4420, 2962, 1207, 12149, 1125, 4089, 1415, 1606, 1548, 16681, 1121, 1118, 1415, 1524, 7202, 158, 1219, 2461, 1670, 6012, 106, 106, 155, 7849, 1741, 106, 106, 28607, 10704, 488, 106, 3562, 4726, 1299, 17989, 1215, 2460, 1109, 9827, 1165, 1383, 182, 1287, 186, 1167, 10956, 1303, 1215, 1518, 11818, 1193, 1943, 180, 1167, 2031, 1210, 2036, 3767, 6075, 2114, 1170, 3151, 7674, 1110, 1913, 9053, 1215, 7783, 142, 3463, 10239, 7010, 190, 1170, 488, 125, 128, 2875, 488, 125, 123, 124, 132, 2290, 1170, 6009, 1222, 8072, 7901, 1233, 4876, 2181, 1548, 488, 132, 2247, 7674, 1110, 1913, 9053, 1170, 488, 124, 123, 2584, 488, 125, 123, 125, 124, 121, 106, 106, 151, 2038, 1197, 20857, 488, 106, 106, 199, 200, 106, 106, 152, 25465, 488, 106, 2029, 22412, 1186, 13010, 172, 1227, 4942, 10704, 1469, 1318, 3453, 4726, 10956, 1303, 1215, 1671, 289, 2716, 1347, 24212, 2194, 23621, 1299, 10152, 1303, 1186, 3028, 4204, 1170, 12574, 13010, 172, 1186, 3028, 1125, 17671, 1653, 22165, 1204, 25465, 22762, 1590, 119, 2757, 1170, 488, 129, 2829, 488, 125, 123, 125, 123, 121, 1643, 4726, 8135, 5503, 1303, 1170, 488, 127, 2798, 488, 125, 123, 125, 124, 121, 3450, 1110, 1913, 13579, 7052, 1186, 5999, 20857, 1186, 4561, 20737, 280, 173, 3847, 106, 106, 4298, 6311, 4726, 1844, 3011, 1188, 1158, 3453, 1469, 1816, 2768, 4112, 1173, 280, 1266, 1889, 27311, 1317, 4615, 4537, 3450, 1110, 1913, 18078, 1188, 3862, 1227, 488, 124, 130, 2875, 488, 125, 123, 125, 124, 1167, 8135, 5503, 1303, 1170, 488, 124, 129, 2798, 488, 125, 123, 125, 125, 121, 3450, 1110, 1913, 13579, 7052, 1186, 3203, 20857, 1186, 4561, 20737, 280, 6383, 1167, 1170, 4755, 7674, 1299, 9665, 1170, 488, 132, 2921, 488, 125, 123, 125, 125, 121, 106, 106, 151, 2038, 1197, 20857, 106, 106, 155, 14736, 488, 124, 488, 106, 106, 199, 200, 106, 106, 2951, 4094, 488, 125, 488, 106, 106, 199, 200, 106, 106, 2439, 1587, 488, 106, 4298, 22412, 1186, 27639, 1299, 19830, 1303, 1170, 488, 125, 127, 2921, 488, 125, 123, 125, 125, 3672, 1170, 1222, 8072, 7901, 1233, 4876, 2181, 1643, 4726, 1299, 3719, 1303, 1215, 1170, 13553, 1350, 165, 1167, 15633, 1215, 1192, 1634, 2955, 180, 1988, 1193, 1569, 2433, 1469, 30232, 1242, 27311, 11089, 1558, 1186, 4083, 1309, 12354, 1124, 23767, 1192, 180, 3187, 1662, 1167, 1209, 182, 1662, 6220, 2368, 9848, 1199, 1227, 3195, 1197, 14115, 1167, 1671, 289, 3166, 1518, 1783, 186, 1167, 1306, 1109, 28492, 1198, 8523, 17174, 196, 5224, 3647, 1199, 1158, 7585, 1125, 1158, 1114, 1550, 2596, 1643, 4726, 1299, 29571, 1188, 3862, 1227, 488, 128, 2822, 488, 125, 123, 125, 125, 1300, 1158, 13168, 12273, 4964, 26855, 1204, 163, 2648, 1300, 1233, 158, 124, 124, 1167, 1251, 191, 12160, 1653, 6556, 1158, 4726, 1299, 11833, 7329, 1215, 1325, 1569, 7180, 1167, 1165, 5342, 1210, 196, 3538, 121, 1653, 1408, 1125, 1158, 3451, 17482, 11566, 1117, 1216, 2806, 1158, 4726, 1299, 2445, 19410, 1303, 1186, 29679, 175, 1287, 1186, 24610, 106, 106, 144, 2623, 11925, 4326, 1170, 2175, 4528, 1125, 4319, 24137, 1518, 19893, 1579, 1350, 1845, 1173, 4735, 1518, 2461, 18883, 15862, 11781, 1309, 1306, 1109, 1514, 9161, 4384, 1167, 1266, 1889, 27311, 1306, 4436, 176, 11925, 243, 24188, 1170, 2175, 4528, 1125, 1622, 24137, 1306, 280, 182, 280, 1313, 2770, 29865, 5133, 1533, 1297, 106, 106, 151, 2038, 1197, 21299, 488, 106, 106, 199, 200, 106, 106, 20634, 1167, 5474, 106, 106, 20310, 1430, 106, 106, 10853, 106, 106, 282, 19760, 488, 106, 2605, 1974, 12273, 4964, 106, 18543, 2461, 1670, 1233, 13886, 13605, 10704, 106, 106, 18543, 2461, 1670, 1233, 13886, 1204, 25465, 1778, 4094, 488, 124, 106, 106, 18543, 2461, 1670, 1233, 13886, 1204, 25465, 1778, 4094, 488, 125, 106, 106, 28870, 5825, 488, 106, 488, 1227, 4942, 10704, 106, 488, 1125, 13834, 1587, 106, 488, 106, 488, 106, 106, 158, 2974, 1125, 4942, 10704, 190, 106, 158, 2974, 13010, 172, 106, 4506, 280, 185, 1108, 13010, 172, 106, 152, 25465, 1197, 4092, 488, 125, 123, 125, 123, 106, 224, 4696, 29571, 1300, 26855, 1204, 163, 106, 158, 2974, 1304, 15673, 12273, 4964, 106, 158, 2974, 23170, 12273, 4964, 1197, 4092, 488, 125, 123, 125, 123, 106, 158, 2974, 29571, 1300, 1325, 1569, 7180, 106, 158, 2974, 29571, 1300, 1165, 5342, 1210, 196, 3538, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 4455, 1600, 16663, 1176, 1234, 1175, 3272, 1180, 1148, 19609, 116, 30139, 1318, 4446, 1253, 1148, 6544, 1125, 1290, 1603, 1237, 244, 1479, 2137, 22763, 1234, 1571, 1111, 1630, 4347, 3524, 1167, 4716, 21571, 7542, 1170, 3091, 6383, 1221, 6909, 1835, 488, 126, 129, 123, 1167, 488, 125, 132, 132, 2567, 2140, 488, 17966, 4651, 31471, 1318, 20910, 1125, 11225, 1125, 5542, 6969, 1125, 1111, 1630, 4347, 3524, 1362, 1125, 1111, 1630, 4347, 3524, 2024, 29168, 1440, 1357, 1207, 5931, 1370, 10777, 1160, 26636, 1188, 1936, 1657, 4651, 1508, 7030, 29884, 1856, 9005, 3247, 2519, 1115, 15604, 1597, 16110, 1835, 1207, 7790, 2824, 1389, 2266, 1234, 22418, 1312, 1227, 1222, 1833, 1105, 1354, 23964, 1209, 1210, 1276, 196, 1180, 1148, 6110, 116, 1167, 1207, 5542, 6969, 23814, 1154, 1250, 1125, 2183, 1207, 23278, 1111, 1630, 4347, 1259, 1346, 7706, 1309, 1207, 1911, 23152, 3127, 9674, 18993, 173, 6768, 23814, 1154, 1250, 1197, 1675, 1479, 1456, 2624, 6184, 18421, 1167, 1207, 2762, 25096, 26142, 1104, 19883, 2123, 13988, 1207, 4327, 12105, 1197, 1675, 12775, 3330, 1576, 106, 106, 9688, 488, 106, 4455, 1600, 16663, 1176, 1234, 2004, 1197, 5773, 1543, 1510, 3392, 1469, 3997, 488, 126, 123, 6505, 243, 3576, 119, 2130, 7555, 1158, 1309, 9598, 1548, 2669, 237, 1245, 1299, 1110, 1291, 14736, 1167, 1299, 13644, 1125, 5087, 10038, 11660, 3392, 1856, 3977, 1197, 2905, 1290, 1603, 1237, 244, 26973, 1457, 1808, 1600, 16663, 1176, 1234, 14255, 1382, 1304, 6143, 1452, 189, 1278, 1143, 2635, 1188, 10905, 4096, 1125, 1158, 6425, 119, 23481, 1571, 1911, 23152, 3127, 9674, 1167, 2905, 1158, 3176, 14741, 1276, 1259, 1258, 1457, 9997, 3342, 31471, 1125, 6804, 3664, 8644, 6912, 1456, 11974, 1167, 6385, 1128, 1554, 26086, 1158, 15836, 1941, 21052, 1167, 1170, 15630, 1125, 1158, 18074, 116, 1186, 1408, 1125, 9118, 25644, 10565, 2137, 22282, 6676, 1125, 1158, 18074, 1496, 1856, 1207, 1235, 2710, 7490, 26300, 1259, 1258, 1104, 4095, 1548, 2669, 237, 1245, 1299, 1685, 1958, 191, 1125, 5313, 1104, 18738, 1842, 4061, 6533, 10708, 22581, 12251, 4123, 8464, 1346, 1357, 2368, 27563, 1227, 6676, 15013, 1227, 2669, 237, 1245, 1188, 3871, 1216, 2035, 1348, 1227, 1127, 1632, 22514, 1643, 7759, 1197, 1290, 1603, 1237, 244, 1479, 2137, 15945, 6068, 2004, 2770, 12251, 4123, 16737, 31745, 16784, 1147, 2665, 3511, 187, 9107, 2290, 1207, 1139, 1124, 2252, 1318, 2768, 19900, 5906, 23131, 1170, 5581, 1227, 1127, 1632, 7011, 1362, 1281, 1805, 7123, 1129, 10894, 1160, 1313, 1197, 18738, 1842, 11660, 1473, 1215, 1207, 1139, 1124, 12288, 9997, 1207, 1600, 16663, 1176, 1234, 2004, 15519, 1318, 10894, 3430, 1257, 2770, 12251, 4123, 16737, 12520, 1129, 2290, 1207, 1139, 1124, 2252, 7328, 1440, 19900, 1584, 2089, 1186, 3921, 1469, 1207, 25644, 10565, 12043, 1125, 9083, 1309, 1170, 6676, 1227, 2669, 237, 1245, 1299, 6606, 1125, 1158, 1994, 3533, 2159, 1197, 18738, 8802, 6617, 1309, 1197, 1139, 1124, 12288, 106, 106, 4455, 3664, 8644, 6912, 1456, 11974, 1508, 1408, 6804, 1309, 1207, 3664, 8644, 6385, 1128, 6796, 1906, 1309, 4142, 1227, 25986, 6903, 2743, 2511, 1297, 1808, 1600, 16663, 1176, 1234, 1508, 22068, 1215, 3598, 1188, 1158, 7759, 1197, 1290, 1603, 1237, 244, 1479, 2137, 1313, 1170, 1844, 11471, 23396, 1125, 3664, 8644, 6385, 1128, 1554, 1508, 14147, 1300, 1207, 10038, 2260, 3827, 1292, 1690, 1188, 3871, 1216, 2035, 1348, 1227, 1127, 1632, 22514, 1653, 8350, 2150, 1469, 1158, 3620, 18557, 1125, 2008, 3664, 174, 1285, 1207, 10038, 14493, 1690, 1125, 1158, 15836, 1941, 21052, 2004, 15519, 1318, 2170, 6154, 1125, 3219, 5719, 5639, 1125, 1158, 7787, 29051, 1206, 1175, 1160, 1105, 1576, 1643, 7787, 29051, 1206, 18901, 1299, 1830, 1303, 1215, 1318, 6233, 10038, 1206, 1632, 16342, 25115, 1300, 1207, 25644, 8632, 1167, 10793, 121, 4060, 16342, 1180, 1348, 1299, 1830, 1303, 1215, 1189, 4367, 18836, 1125, 2669, 2657, 1346, 1357, 1508, 5916, 8062, 1125, 1606, 2167, 1322, 2647, 1473, 1524, 1175, 4114, 1407, 1473, 1856, 1189, 24053, 2874, 3909, 1576, 1814, 15550, 4020, 8908, 186, 1159, 26973, 1153, 1299, 9918, 1256, 7811, 1440, 2151, 2028, 1469, 1207, 1600, 16663, 1176, 4413, 1808, 6912, 1456, 3093, 1508, 2445, 22068, 1313, 1170, 1844, 19900, 31471, 1189, 4374, 1226, 13357, 1543, 1510, 244, 1170, 2102, 1125, 1964, 6300, 1597, 6664, 9918, 2290, 1170, 1874, 1125, 1226, 13357, 1279, 1137, 6991, 1140, 1354, 8665, 7868, 1130, 1112, 1127, 6991, 1140, 3556, 1576, 1808, 1290, 1603, 1237, 244, 1479, 2137, 1151, 7097, 1392, 1856, 1209, 1210, 1276, 196, 1180, 1148, 6110, 31471, 1318, 1131, 1849, 1994, 8553, 1313, 1158, 6912, 1456, 26687, 11781, 1309, 1158, 7759, 1197, 6969, 7330, 7097, 1392, 2004, 1318, 4726, 1125, 1367, 1212, 1408, 6976, 1167, 1906, 3805, 5068, 106, 106, 4335, 4264, 488, 106, 6880, 9725, 9145, 1299, 26190, 1215, 10882, 7278, 1516, 197, 1186, 488, 125, 123, 124, 125, 119, 7349, 1199, 1158, 6127, 1197, 1600, 16663, 1176, 1234, 1469, 5610, 1111, 1630, 4347, 1259, 26142, 1104, 1257, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 106, 106, 10853, 106, 106, 8036, 2072, 106, 106, 10026, 11052, 488, 106, 4357, 3166, 1159, 26973, 1575, 106, 5106, 1512, 1107, 180, 19609, 106, 10148, 1322, 1205, 7490, 1109, 1153, 106, 1198, 1130, 4347, 28641, 106, 106, 28870, 5825, 488, 106, 106, 158, 1148, 3166, 1159, 26973, 1575, 106, 159, 2012, 1105, 1131, 3716, 1126, 13523, 1186, 488, 124, 131, 130, 128, 32001, 488, 106, 32000, 20036, 106, 1598, 1600, 1180, 1148, 4266, 1175, 3272, 1180, 1148, 19609, 116, 1830, 1151, 3581, 7854, 4772, 1161, 3396, 3166, 1159, 1479, 9202, 1220, 7633, 1163, 1111, 1130, 4347, 1259, 190, 1171, 16420, 3545, 1135, 3091, 6383, 14431, 1212, 30467, 2910, 488, 126, 129, 123, 1171, 488, 125, 132, 132, 1233, 3428, 121, 3842, 30164, 1110, 10824, 1161, 25437, 1446, 3259, 8520, 1161, 1111, 1130, 4347, 1259, 190, 1329, 24035, 1111, 1130, 4347, 1259, 1285, 1758, 4607, 5032, 3062, 2182, 5849, 1163, 1936, 1221, 2305, 3842, 1393, 2692, 8261, 1163, 1280, 1910, 1161, 1151, 1597, 29266, 2458, 1272, 2910, 1135, 5756, 22418, 21168, 23140, 2266, 2026, 1161, 1135, 13612, 1105, 2323, 3615, 2547, 1296, 1209, 1210, 1276, 196, 1180, 1148, 6110, 116, 1171, 1135, 6750, 23814, 5663, 8520, 1161, 1543, 2970, 1111, 1130, 4347, 1259, 1285, 2536, 1296, 1911, 23152, 3127, 3340, 190, 1175, 27193, 23814, 1500, 1161, 6184, 1675, 1479, 1456, 11502, 116, 1171, 2762, 25096, 26142, 190, 17926, 4667, 1135, 23814, 1500, 1161, 1675, 12775, 3330, 1576, 106, 106, 9688, 133, 488, 106, 3272, 1180, 1148, 4266, 1537, 1871, 1510, 1589, 10356, 3939, 1324, 16289, 488, 126, 123, 23140, 11421, 1965, 1375, 3813, 1135, 18112, 121, 1410, 3271, 1770, 1239, 13829, 1665, 1156, 1171, 26482, 1161, 15130, 12644, 3040, 1346, 2141, 2017, 3396, 3166, 1159, 1479, 9202, 13609, 2908, 1180, 1148, 4266, 1560, 1375, 1537, 1143, 1310, 1375, 2942, 1355, 1135, 2441, 1161, 1135, 3228, 119, 31582, 1911, 23152, 3127, 3340, 190, 1171, 2017, 1158, 3176, 14741, 1276, 1259, 1258, 1297, 6067, 1799, 1537, 3564, 6912, 1456, 2344, 1171, 6385, 12690, 1131, 1475, 190, 26604, 1135, 7663, 1225, 2554, 1171, 1135, 19605, 1161, 1135, 18835, 116, 1147, 4125, 1163, 3810, 10565, 1132, 27594, 30245, 1135, 11090, 1161, 1135, 18835, 1496, 2141, 1235, 2710, 7490, 26300, 1259, 1258, 190, 4095, 1410, 3271, 1770, 1239, 14157, 1147, 9875, 4061, 1696, 14924, 1651, 1346, 4494, 6470, 1132, 30522, 1758, 18570, 1446, 1135, 25380, 11090, 1161, 1135, 3271, 1770, 1163, 1135, 15905, 1161, 1135, 6951, 8876, 10789, 15945, 2376, 3396, 3166, 1159, 1479, 9202, 1220, 1537, 1789, 6470, 1132, 6974, 3754, 1149, 1189, 2665, 24645, 2670, 1135, 2425, 1216, 2312, 5376, 1799, 7590, 1135, 15905, 1161, 1135, 6951, 14574, 1329, 2676, 7123, 6228, 4704, 1147, 12644, 14924, 11470, 1449, 1135, 2425, 1216, 1142, 1297, 6067, 1600, 1180, 1148, 4266, 1537, 9828, 1110, 3430, 10894, 133, 1789, 6470, 1132, 6974, 1106, 1647, 2670, 1135, 2425, 1216, 2312, 4945, 1799, 2440, 3921, 1324, 1135, 10565, 1132, 27594, 119, 1540, 1302, 1135, 11090, 1161, 1135, 3271, 1770, 1239, 11626, 1226, 1994, 175, 3132, 1149, 1135, 14924, 11470, 7181, 2095, 1135, 2425, 1216, 1142, 1297, 106, 106, 1598, 6912, 1456, 2344, 1131, 1475, 190, 1393, 11054, 2095, 1135, 6385, 12690, 1131, 1475, 1285, 11294, 3108, 1238, 1135, 6385, 1230, 1393, 3517, 3564, 121, 2908, 1180, 1148, 4266, 1393, 3430, 10688, 1163, 2481, 3396, 3166, 1159, 1479, 9202, 1220, 1147, 1135, 3313, 1302, 1110, 6643, 1161, 6385, 12690, 1131, 1475, 190, 1393, 4143, 1238, 1135, 1578, 3827, 1292, 1626, 3040, 1104, 1355, 1135, 2283, 1161, 1135, 6951, 8876, 1459, 8350, 1791, 1324, 1135, 15314, 3620, 1161, 2484, 1131, 1475, 1285, 1135, 14493, 1626, 3040, 1104, 1161, 1135, 7663, 1225, 2554, 1537, 9828, 1110, 1375, 1210, 1238, 2483, 5054, 6289, 1135, 7787, 1479, 1591, 1120, 19588, 1109, 1576, 1410, 7787, 1479, 1591, 1120, 8300, 1239, 16864, 1449, 1110, 18821, 3040, 196, 5457, 1238, 1135, 3936, 1171, 2626, 27594, 121, 2192, 18821, 3395, 1239, 16864, 1449, 1110, 5353, 2935, 1161, 9564, 22012, 1758, 1393, 9517, 1296, 1235, 2266, 1322, 1146, 1431, 1220, 109, 1175, 2044, 6688, 2141, 1116, 3724, 1221, 25757, 1576, 13891, 4020, 8908, 186, 1159, 26973, 1153, 1239, 5388, 1163, 6140, 1413, 5918, 6297, 1324, 1600, 1180, 1148, 1176, 1297, 1410, 6912, 4169, 1393, 1959, 3430, 1147, 1302, 1799, 1537, 1110, 3935, 1871, 1510, 1589, 1226, 13357, 4957, 1789, 15942, 6300, 119, 5388, 1296, 1135, 1279, 1137, 6991, 1140, 2323, 1226, 13357, 11105, 1127, 6991, 1140, 2323, 7868, 1182, 1154, 1576, 7642, 3930, 3396, 3166, 1159, 1479, 9202, 1220, 2141, 1209, 1210, 1276, 196, 1180, 1148, 6110, 1537, 1110, 1994, 23204, 3438, 1123, 1147, 1135, 6912, 2369, 119, 2884, 2481, 6470, 8520, 1537, 1110, 6446, 1161, 3810, 1659, 2632, 3840, 19307, 23532, 1457, 106, 106, 4335, 4264, 133, 488, 106, 1598, 8874, 17262, 1449, 10882, 7278, 1516, 197, 1147, 488, 125, 123, 124, 125, 5734, 7081, 1135, 7107, 1161, 1600, 1180, 1148, 4266, 1324, 2017, 1111, 1130, 4347, 1259, 26142, 1297, 106, 106, 20634, 1171, 22874, 106, 106, 20634, 106, 106, 1891, 9520, 106, 106, 21320, 1959, 106, 106, 12225, 1589, 3760, 488, 106, 158, 1148, 3166, 1159, 26973, 1575, 106, 7299, 1512, 1107, 180, 19609, 106, 142, 189, 1322, 1205, 7490, 1109, 1153, 106, 159, 1130, 4347, 28641, 106, 106, 26722, 14520, 106, 106, 158, 1148, 3166, 1159, 26973, 1575, 106, 145, 3377, 1142, 4398, 1105, 9517, 1147, 488, 124, 131, 130, 128, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 1600, 1180, 1148, 4266, 1175, 3272, 1180, 1148, 19609, 116, 1830, 1151, 3581, 7854, 4772, 1161, 3396, 3166, 1159, 1479, 9202, 1220, 7633, 1163, 1111, 1130, 4347, 1259, 190, 1171, 16420, 3545, 1135, 3091, 6383, 14431, 1212, 30467, 2910, 488, 126, 129, 123, 1171, 488, 125, 132, 132, 1233, 3428, 121, 3842, 30164, 1110, 10824, 1161, 25437, 1446, 3259, 8520, 1161, 1111, 1130, 4347, 1259, 190, 1329, 24035, 1111, 1130, 4347, 1259, 1285, 1758, 4607, 5032, 3062, 2182, 5849, 1163, 1936, 1221, 2305, 3842, 1393, 2692, 8261, 1163, 1280, 1910, 1161, 1151, 1597, 29266, 2458, 1272, 2910, 1135, 5756, 22418, 21168, 23140, 2266, 2026, 1161, 1135, 13612, 1105, 2323, 3615, 2547, 1296, 1209, 1210, 1276, 196, 1180, 1148, 6110, 116, 1171, 1135, 6750, 23814, 5663, 8520, 1161, 1543, 2970, 1111, 1130, 4347, 1259, 1285, 2536, 1296, 1911, 23152, 3127, 3340, 190, 1175, 27193, 23814, 1500, 1161, 6184, 1675, 1479, 1456, 11502, 116, 1171, 2762, 25096, 26142, 190, 17926, 4667, 1135, 23814, 1500, 1161, 1675, 12775, 3330, 1576, 106, 106, 9688, 133, 488, 106, 3272, 1180, 1148, 4266, 1537, 1871, 1510, 1589, 10356, 3939, 1324, 16289, 488, 126, 123, 23140, 11421, 1965, 1375, 3813, 1135, 18112, 121, 1410, 3271, 1770, 1239, 13829, 1665, 1156, 1171, 26482, 1161, 15130, 12644, 3040, 1346, 2141, 2017, 3396, 3166, 1159, 1479, 9202, 13609, 2908, 1180, 1148, 4266, 1560, 1375, 1537, 1143, 1310, 1375, 2942, 1355, 1135, 2441, 1161, 1135, 3228, 119, 31582, 1911, 23152, 3127, 3340, 190, 1171, 2017, 1158, 3176, 14741, 1276, 1259, 1258, 1297, 6067, 1799, 1537, 3564, 6912, 1456, 2344, 1171, 6385, 12690, 1131, 1475, 190, 26604, 1135, 7663, 1225, 2554, 1171, 1135, 19605, 1161, 1135, 18835, 116, 1147, 4125, 1163, 3810, 10565, 1132, 27594, 30245, 1135, 11090, 1161, 1135, 18835, 1496, 2141, 1235, 2710, 7490, 26300, 1259, 1258, 190, 4095, 1410, 3271, 1770, 1239, 14157, 1147, 9875, 4061, 1696, 14924, 1651, 1346, 4494, 6470, 1132, 30522, 1758, 18570, 1446, 1135, 25380, 11090, 1161, 1135, 3271, 1770, 1163, 1135, 15905, 1161, 1135, 6951, 8876, 10789, 15945, 2376, 3396, 3166, 1159, 1479, 9202, 1220, 1537, 1789, 6470, 1132, 6974, 3754, 1149, 1189, 2665, 24645, 2670, 1135, 2425, 1216, 2312, 5376, 1799, 7590, 1135, 15905, 1161, 1135, 6951, 14574, 1329, 2676, 7123, 6228, 4704, 1147, 12644, 14924, 11470, 1449, 1135, 2425, 1216, 1142, 1297, 6067, 1600, 1180, 1148, 4266, 1537, 9828, 1110, 3430, 10894, 133, 1789, 6470, 1132, 6974, 1106, 1647, 2670, 1135, 2425, 1216, 2312, 4945, 1799, 2440, 3921, 1324, 1135, 10565, 1132, 27594, 119, 1540, 1302, 1135, 11090, 1161, 1135, 3271, 1770, 1239, 11626, 1226, 1994, 175, 3132, 1149, 1135, 14924, 11470, 7181, 2095, 1135, 2425, 1216, 1142, 1297, 106, 106, 1598, 6912, 1456, 2344, 1131, 1475, 190, 1393, 11054, 2095, 1135, 6385, 12690, 1131, 1475, 1285, 11294, 3108, 1238, 1135, 6385, 1230, 1393, 3517, 3564, 121, 2908, 1180, 1148, 4266, 1393, 3430, 10688, 1163, 2481, 3396, 3166, 1159, 1479, 9202, 1220, 1147, 1135, 3313, 1302, 1110, 6643, 1161, 6385, 12690, 1131, 1475, 190, 1393, 4143, 1238, 1135, 1578, 3827, 1292, 1626, 3040, 1104, 1355, 1135, 2283, 1161, 1135, 6951, 8876, 1459, 8350, 1791, 1324, 1135, 15314, 3620, 1161, 2484, 1131, 1475, 1285, 1135, 14493, 1626, 3040, 1104, 1161, 1135, 7663, 1225, 2554, 1537, 9828, 1110, 1375, 1210, 1238, 2483, 5054, 6289, 1135, 7787, 1479, 1591, 1120, 19588, 1109, 1576, 1410, 7787, 1479, 1591, 1120, 8300, 1239, 16864, 1449, 1110, 18821, 3040, 196, 5457, 1238, 1135, 3936, 1171, 2626, 27594, 121, 2192, 18821, 3395, 1239, 16864, 1449, 1110, 5353, 2935, 1161, 9564, 22012, 1758, 1393, 9517, 1296, 1235, 2266, 1322, 1146, 1431, 1220, 109, 1175, 2044, 6688, 2141, 1116, 3724, 1221, 25757, 1576, 13891, 4020, 8908, 186, 1159, 26973, 1153, 1239, 5388, 1163, 6140, 1413, 5918, 6297, 1324, 1600, 1180, 1148, 1176, 1297, 1410, 6912, 4169, 1393, 1959, 3430, 1147, 1302, 1799, 1537, 1110, 3935, 1871, 1510, 1589, 1226, 13357, 4957, 1789, 15942, 6300, 119, 5388, 1296, 1135, 1279, 1137, 6991, 1140, 2323, 1226, 13357, 11105, 1127, 6991, 1140, 2323, 7868, 1182, 1154, 1576, 7642, 3930, 3396, 3166, 1159, 1479, 9202, 1220, 2141, 1209, 1210, 1276, 196, 1180, 1148, 6110, 1537, 1110, 1994, 23204, 3438, 1123, 1147, 1135, 6912, 2369, 119, 2884, 2481, 6470, 8520, 1537, 1110, 6446, 1161, 3810, 1659, 2632, 3840, 19307, 23532, 1457, 106, 106, 4335, 4264, 133, 488, 106, 1598, 8874, 17262, 1449, 10882, 7278, 1516, 197, 1147, 488, 125, 123, 124, 125, 5734, 7081, 1135, 7107, 1161, 1600, 1180, 1148, 4266, 1324, 2017, 1111, 1130, 4347, 1259, 26142, 1297, 106, 106, 20634, 1171, 22874, 106, 106, 20634, 106, 106, 1891, 9520, 106, 106, 21320, 1959, 106, 106, 12225, 1589, 3760, 488, 106, 158, 1148, 3166, 1159, 26973, 1575, 106, 7299, 1512, 1107, 180, 19609, 106, 142, 189, 1322, 1205, 7490, 1109, 1153, 106, 159, 1130, 4347, 28641, 106, 106, 26722, 14520, 106, 106, 158, 1148, 3166, 1159, 26973, 1575, 106, 145, 3377, 1142, 4398, 1105, 9517, 1147, 488, 124, 131, 130, 128, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 114, 155, 1128, 114, 149, 25216, 1299, 1189, 3274, 10709, 1125, 23684, 1125, 1643, 25291, 19778, 1186, 488, 124, 132, 131, 130, 121, 106, 106, 141, 11741, 488, 106, 17696, 10964, 1125, 1158, 2358, 2100, 1197, 25377, 1312, 1300, 1158, 4813, 1227, 18252, 1614, 119, 1170, 3274, 13644, 1197, 3203, 21849, 1293, 11098, 1374, 1971, 18471, 1189, 1179, 26201, 1121, 1469, 1158, 7751, 30284, 1125, 2324, 3595, 1314, 13638, 3176, 1186, 488, 125, 123, 123, 123, 121, 1548, 1392, 23070, 5617, 1104, 1186, 2180, 1731, 6169, 4587, 1298, 15000, 6395, 1469, 2810, 1157, 1167, 1584, 3191, 1158, 2492, 1197, 1671, 4938, 8665, 1606, 5450, 114, 18699, 3133, 6891, 1188, 1158, 7099, 1125, 2770, 6844, 1285, 5404, 1317, 2498, 1313, 1207, 12065, 1125, 1561, 1885, 1119, 1167, 1313, 1282, 3331, 1897, 26830, 1576, 106, 106, 3562, 7585, 1125, 5450, 114, 149, 25216, 1299, 1189, 14915, 3430, 1125, 1313, 1104, 1304, 1199, 1119, 1175, 1613, 190, 1346, 1881, 182, 4277, 1694, 1190, 7474, 1362, 18592, 189, 3023, 1872, 1234, 1215, 1207, 7790, 1600, 1376, 1496, 1125, 1114, 1603, 1810, 11781, 1309, 1170, 3987, 1105, 1167, 1170, 5962, 5811, 4086, 25392, 1158, 7585, 3482, 3556, 1125, 7422, 2323, 2596, 106, 106, 2853, 1467, 1152, 6196, 5450, 114, 149, 25216, 10086, 21960, 1318, 22880, 29258, 1300, 8077, 121, 1808, 4634, 1227, 24223, 2183, 1152, 2657, 1153, 1125, 1158, 2076, 5228, 19588, 2852, 1541, 2053, 1178, 1112, 2167, 1145, 1285, 8557, 2410, 30124, 1346, 1138, 2360, 1717, 3851, 3515, 1167, 22792, 1132, 1376, 7272, 29426, 6228, 1129, 23070, 1167, 1597, 183, 4119, 10110, 1234, 15000, 5725, 4701, 1158, 1606, 25291, 11218, 4821, 1252, 4107, 1125, 1964, 6194, 1336, 12354, 3725, 1207, 5450, 114, 149, 25216, 2004, 7798, 1197, 26161, 1186, 15443, 1731, 7393, 5553, 6461, 9639, 1167, 4897, 184, 1153, 1926, 1104, 1125, 25498, 1186, 488, 125, 123, 123, 125, 119, 9912, 25033, 2011, 12412, 178, 2610, 1860, 1186, 488, 125, 123, 123, 128, 119, 9912, 31560, 3276, 1149, 192, 1567, 16664, 109, 1188, 6188, 2610, 1860, 1167, 1173, 1655, 1107, 1197, 20736, 1328, 1188, 2801, 1186, 2578, 488, 125, 123, 123, 129, 119, 1170, 3274, 4212, 10568, 1300, 1158, 1252, 1941, 1125, 2801, 116, 1167, 1188, 30748, 7933, 1510, 16647, 1186, 2921, 488, 125, 123, 123, 125, 119, 9461, 4578, 1125, 7422, 20012, 1188, 1643, 177, 1242, 1567, 1186, 488, 125, 123, 123, 128, 1576, 106, 106, 143, 6849, 488, 125, 123, 123, 132, 119, 1170, 7078, 17624, 5450, 114, 149, 25216, 1110, 10193, 1909, 14250, 1188, 1158, 2358, 2100, 1197, 25377, 14279, 1548, 3274, 5265, 1318, 13502, 24885, 3719, 1303, 1835, 174, 2950, 1303, 2335, 15078, 3447, 7809, 244, 31409, 7896, 1215, 1964, 6562, 1109, 12161, 1808, 4634, 1227, 3274, 31389, 6103, 1160, 1188, 1158, 13790, 1227, 15078, 1167, 1125, 1158, 2264, 6204, 1808, 20926, 1392, 10256, 1129, 1947, 1331, 1984, 1167, 3666, 9124, 3219, 3888, 1186, 4319, 1125, 5557, 121, 2616, 10848, 1317, 7078, 17624, 5450, 114, 149, 25216, 1527, 3492, 27082, 1300, 1170, 1865, 9229, 1227, 3274, 121, 106, 106, 8857, 3576, 106, 106, 8857, 3576, 1227, 3274, 488, 106, 2809, 3595, 1314, 13638, 3176, 1175, 124, 132, 129, 124, 1362, 488, 124, 132, 129, 125, 120, 125, 123, 125, 126, 116, 1859, 1270, 2851, 15231, 12589, 1297, 106, 152, 7060, 1293, 11098, 4280, 1270, 2851, 11243, 16303, 2714, 173, 2139, 121, 106, 22448, 7323, 1293, 11098, 4280, 1270, 2851, 16565, 119, 2714, 173, 2139, 121, 106, 141, 1608, 1379, 1293, 11098, 4280, 1270, 2851, 3987, 2114, 5962, 181, 2086, 6912, 1172, 4994, 106, 106, 8857, 3576, 4125, 10654, 488, 106, 3681, 1262, 15021, 1119, 3174, 3406, 12898, 1300, 26903, 15656, 4160, 106, 106, 22525, 4134, 488, 106, 124, 132, 132, 131, 1257, 1671, 2610, 119, 14029, 15804, 19210, 9222, 31466, 2036, 106, 125, 123, 123, 125, 1257, 30233, 5411, 1118, 6664, 14029, 15804, 19210, 9222, 31466, 2036, 106, 125, 123, 123, 126, 1257, 1653, 9893, 1257, 5368, 1175, 124, 8175, 1563, 488, 124, 17557, 116, 2513, 1215, 9222, 31466, 2036, 106, 125, 123, 123, 128, 1257, 15656, 1120, 2357, 5450, 114, 149, 25216, 19210, 119, 6847, 9222, 24258, 19210, 121, 106, 125, 123, 123, 130, 1257, 1198, 1146, 2610, 1123, 1343, 2982, 1539, 1220, 1376, 1167, 1138, 5911, 3027, 1125, 1158, 25291, 6700, 13578, 21270, 1286, 1835, 1207, 10910, 1186, 2180, 1731, 1125, 10170, 246, 2340, 29510, 1351, 1374, 1167, 1158, 7585, 1197, 5450, 114, 149, 25216, 1576, 5017, 1244, 19210, 5450, 114, 149, 25216, 1703, 21358, 2513, 1215, 1350, 174, 11547, 2605, 1974, 1297, 106, 125, 123, 123, 129, 1257, 4511, 19543, 1197, 26596, 1353, 1104, 4880, 1153, 1460, 1227, 21143, 8922, 1186, 488, 1215, 20682, 4173, 6559, 1576, 106, 125, 123, 124, 123, 1257, 13727, 488, 125, 123, 124, 123, 6047, 12602, 116, 2513, 1215, 9222, 24258, 19210, 121, 106, 125, 123, 124, 123, 1257, 1266, 1261, 13633, 119, 5450, 114, 149, 25216, 19210, 119, 6847, 9222, 24258, 19210, 121, 106, 106, 142, 26347, 488, 106, 155, 1172, 5778, 6188, 20831, 121, 106, 159, 180, 5411, 1118, 22631, 106, 106, 158, 3986, 8532, 10709, 488, 106, 125, 123, 124, 131, 1257, 1233, 1142, 1195, 9046, 1167, 10958, 1164, 1377, 7615, 1191, 1148, 24885, 5617, 1215, 6868, 4339, 1314, 14299, 9599, 2966, 119, 3902, 1186, 8077, 1167, 11925, 2201, 1215, 1207, 21863, 1197, 5450, 462, 149, 172, 21165, 18367, 8415, 4853, 1105, 1128, 106, 106, 28870, 5825, 488, 106, 7649, 9229, 106, 488, 3346, 5778, 9467, 186, 3471, 6448, 116, 106, 488, 30233, 17895, 17094, 1186, 9893, 1469, 19208, 1548, 2318, 1141, 106, 106, 20634, 1167, 5474, 488, 106, 106, 146, 2740, 10709, 6169, 4587, 1298, 106, 146, 2740, 1125, 1114, 1603, 172, 106, 146, 2740, 10709, 19778, 1186, 488, 124, 132, 131, 130, 106, 142, 2748, 1317, 18252, 1614, 114, 32001, 488, 106, 32000, 20036, 106, 155, 1128, 114, 149, 25216, 1239, 1110, 10709, 2957, 1446, 1135, 13798, 1161, 1643, 25291, 16864, 1147, 488, 124, 132, 131, 130, 121, 106, 106, 141, 180, 11114, 106, 17696, 1109, 1641, 1446, 2358, 2100, 1197, 25377, 1312, 1147, 1135, 7389, 3258, 1161, 1548, 18252, 1614, 119, 1135, 25182, 26482, 1161, 1135, 3337, 1293, 11098, 1374, 3343, 1276, 2563, 7905, 1110, 16121, 1130, 1324, 1135, 4125, 1161, 2324, 3595, 1314, 13638, 3176, 1147, 488, 125, 123, 123, 123, 121, 14320, 6537, 1285, 6794, 1147, 1863, 15047, 7801, 12057, 28712, 9482, 1171, 1186, 16791, 11467, 1184, 15674, 1135, 3901, 1161, 1135, 1671, 4938, 11105, 6824, 1128, 114, 18699, 1523, 1110, 8610, 1163, 1135, 4203, 1161, 1789, 2053, 3174, 5404, 1163, 1870, 1147, 1135, 1561, 1319, 2548, 12000, 1171, 1147, 14838, 25020, 1576, 106, 106, 155, 1128, 114, 149, 25216, 1361, 4501, 1239, 1110, 3430, 30274, 1161, 11015, 1106, 2339, 22414, 8272, 197, 1346, 1881, 182, 4277, 30628, 1329, 18592, 189, 3023, 1946, 5459, 1449, 1135, 1940, 10209, 18474, 1496, 12449, 1810, 2884, 1135, 3987, 1109, 1171, 5962, 5811, 25181, 1135, 1165, 4520, 1145, 4501, 1161, 7422, 2323, 2036, 106, 106, 2834, 2057, 3733, 5450, 114, 149, 25216, 26227, 1110, 5938, 27238, 1238, 1290, 5533, 1410, 5641, 1161, 1135, 25182, 1543, 10259, 1156, 1135, 2994, 2659, 6256, 7101, 9976, 1166, 14095, 7502, 1492, 10926, 1285, 11559, 18115, 2563, 1171, 5861, 1113, 1701, 1496, 6228, 1230, 16190, 1171, 1499, 3890, 1597, 183, 4119, 5298, 3516, 20234, 1135, 1235, 8044, 15047, 11218, 4095, 4956, 1789, 7889, 2257, 4377, 5450, 114, 149, 25216, 1602, 12742, 26161, 1147, 2274, 2621, 2315, 6396, 24534, 9639, 1171, 4897, 184, 1153, 1926, 1104, 1125, 25498, 1147, 488, 125, 123, 123, 125, 119, 4020, 2011, 9461, 1147, 6188, 2610, 1860, 1147, 488, 125, 123, 123, 128, 119, 31560, 3276, 1149, 192, 1567, 16664, 109, 9461, 1147, 6188, 2610, 1860, 1171, 1173, 1655, 1107, 1197, 20736, 1328, 1147, 2801, 1147, 7286, 488, 125, 123, 123, 129, 119, 1135, 2957, 23731, 2939, 190, 1355, 1135, 1252, 1941, 1125, 2801, 116, 1171, 28983, 7933, 1510, 16647, 1147, 6942, 488, 125, 123, 123, 125, 119, 5940, 9461, 1161, 7422, 17669, 1147, 1643, 177, 1242, 1567, 1147, 488, 125, 123, 123, 128, 1576, 106, 106, 158, 2588, 488, 125, 123, 123, 132, 119, 1135, 7078, 17624, 5450, 114, 149, 25216, 1602, 13032, 2019, 21604, 1147, 2358, 2100, 1197, 25377, 14279, 1410, 2957, 8065, 1110, 2350, 2157, 10709, 18548, 15788, 30729, 1156, 1324, 1110, 22637, 14128, 3447, 23363, 1449, 1789, 1850, 5238, 1410, 2957, 5641, 30808, 19646, 1147, 1135, 27714, 1161, 1135, 23363, 1171, 1135, 29591, 1410, 3237, 1201, 11783, 1269, 1171, 3666, 4660, 16211, 2483, 3239, 1355, 1135, 10220, 1161, 1135, 2764, 2241, 3867, 19646, 1147, 1135, 7078, 17624, 5450, 114, 149, 172, 21165, 10101, 1430, 3210, 1280, 3062, 1238, 1135, 2957, 1361, 6755, 14114, 106, 106, 8857, 3232, 106, 106, 5475, 5641, 106, 2809, 3595, 1314, 13638, 3176, 1175, 124, 132, 129, 124, 1329, 488, 124, 132, 129, 125, 120, 125, 123, 125, 126, 1496, 24476, 1285, 15231, 2331, 10062, 106, 152, 7060, 1293, 11098, 4280, 24476, 1285, 11243, 5567, 4415, 2306, 1297, 106, 22448, 7323, 1293, 11098, 4280, 24476, 1285, 2306, 1285, 4415, 2306, 1297, 106, 141, 1608, 1379, 1293, 11098, 4280, 24476, 1285, 3987, 2982, 5962, 181, 2086, 6912, 1172, 4537, 106, 106, 4650, 11530, 5641, 106, 3681, 1262, 15021, 1119, 3174, 3406, 1231, 1238, 1135, 6030, 15656, 4160, 106, 106, 22525, 11114, 106, 124, 132, 132, 131, 133, 1671, 2610, 119, 14029, 15804, 19210, 9222, 31466, 2036, 106, 125, 123, 123, 125, 133, 30233, 5411, 1118, 6664, 14029, 15804, 19210, 9222, 31466, 2036, 106, 125, 123, 123, 126, 133, 13727, 1147, 9893, 1175, 124, 8175, 1563, 488, 124, 17557, 116, 11992, 1449, 9222, 31466, 2036, 106, 125, 123, 123, 128, 133, 15656, 1120, 2357, 5450, 114, 149, 25216, 19210, 119, 8917, 1449, 9222, 24258, 19210, 121, 106, 125, 123, 123, 130, 133, 1198, 1146, 2610, 1123, 1343, 2982, 19043, 190, 1171, 1115, 1770, 1219, 1429, 1161, 1863, 15047, 1175, 2029, 21523, 1156, 24717, 9164, 2910, 1135, 7801, 1731, 3918, 1634, 1161, 10170, 246, 2340, 29510, 1351, 1374, 1171, 1135, 4501, 1161, 5450, 114, 149, 25216, 1576, 26507, 4052, 5450, 114, 149, 25216, 1323, 7940, 11992, 1449, 1350, 174, 11547, 17123, 1297, 106, 125, 123, 123, 129, 133, 1459, 1135, 5623, 1436, 1610, 114, 5761, 4880, 19486, 1446, 1135, 31758, 18840, 1147, 1449, 20682, 4173, 6559, 1576, 106, 125, 123, 124, 123, 133, 13727, 488, 125, 123, 124, 123, 6047, 12602, 116, 11992, 1449, 9222, 24258, 19210, 121, 106, 125, 123, 124, 123, 133, 1266, 1261, 13633, 119, 5450, 114, 149, 25216, 19210, 119, 8917, 1449, 9222, 24258, 19210, 121, 106, 106, 152, 19486, 17842, 106, 155, 1172, 5778, 9467, 2181, 106, 159, 180, 5411, 1118, 22631, 106, 106, 152, 1153, 1926, 2704, 106, 125, 123, 124, 131, 133, 1233, 1142, 1195, 9046, 1171, 10958, 1164, 1377, 7615, 10709, 1111, 1366, 6794, 1449, 6868, 4339, 1314, 14299, 9599, 2966, 119, 18840, 1171, 12742, 1449, 1135, 5450, 462, 149, 25216, 1367, 2950, 1346, 18367, 8415, 4853, 1105, 1128, 106, 106, 26722, 14520, 106, 7089, 11076, 4877, 106, 155, 1172, 5778, 9467, 186, 4880, 19486, 6144, 116, 106, 159, 180, 17895, 17094, 1147, 9893, 1324, 19208, 1548, 2318, 1141, 106, 106, 20634, 1171, 22874, 106, 106, 1891, 15047, 1983, 10709, 2957, 106, 3732, 6110, 2957, 106, 152, 1153, 1926, 2957, 16864, 1147, 488, 124, 132, 131, 130, 106, 142, 2748, 1147, 1548, 18252, 1614, 4297, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 155, 1128, 114, 149, 25216, 1239, 1110, 10709, 2957, 1446, 1135, 13798, 1161, 1643, 25291, 16864, 1147, 488, 124, 132, 131, 130, 121, 106, 106, 141, 180, 11114, 106, 17696, 1109, 1641, 1446, 2358, 2100, 1197, 25377, 1312, 1147, 1135, 7389, 3258, 1161, 1548, 18252, 1614, 119, 1135, 25182, 26482, 1161, 1135, 3337, 1293, 11098, 1374, 3343, 1276, 2563, 7905, 1110, 16121, 1130, 1324, 1135, 4125, 1161, 2324, 3595, 1314, 13638, 3176, 1147, 488, 125, 123, 123, 123, 121, 14320, 6537, 1285, 6794, 1147, 1863, 15047, 7801, 12057, 28712, 9482, 1171, 1186, 16791, 11467, 1184, 15674, 1135, 3901, 1161, 1135, 1671, 4938, 11105, 6824, 1128, 114, 18699, 1523, 1110, 8610, 1163, 1135, 4203, 1161, 1789, 2053, 3174, 5404, 1163, 1870, 1147, 1135, 1561, 1319, 2548, 12000, 1171, 1147, 14838, 25020, 1576, 106, 106, 155, 1128, 114, 149, 25216, 1361, 4501, 1239, 1110, 3430, 30274, 1161, 11015, 1106, 2339, 22414, 8272, 197, 1346, 1881, 182, 4277, 30628, 1329, 18592, 189, 3023, 1946, 5459, 1449, 1135, 1940, 10209, 18474, 1496, 12449, 1810, 2884, 1135, 3987, 1109, 1171, 5962, 5811, 25181, 1135, 1165, 4520, 1145, 4501, 1161, 7422, 2323, 2036, 106, 106, 2834, 2057, 3733, 5450, 114, 149, 25216, 26227, 1110, 5938, 27238, 1238, 1290, 5533, 1410, 5641, 1161, 1135, 25182, 1543, 10259, 1156, 1135, 2994, 2659, 6256, 7101, 9976, 1166, 14095, 7502, 1492, 10926, 1285, 11559, 18115, 2563, 1171, 5861, 1113, 1701, 1496, 6228, 1230, 16190, 1171, 1499, 3890, 1597, 183, 4119, 5298, 3516, 20234, 1135, 1235, 8044, 15047, 11218, 4095, 4956, 1789, 7889, 2257, 4377, 5450, 114, 149, 25216, 1602, 12742, 26161, 1147, 2274, 2621, 2315, 6396, 24534, 9639, 1171, 4897, 184, 1153, 1926, 1104, 1125, 25498, 1147, 488, 125, 123, 123, 125, 119, 4020, 2011, 9461, 1147, 6188, 2610, 1860, 1147, 488, 125, 123, 123, 128, 119, 31560, 3276, 1149, 192, 1567, 16664, 109, 9461, 1147, 6188, 2610, 1860, 1171, 1173, 1655, 1107, 1197, 20736, 1328, 1147, 2801, 1147, 7286, 488, 125, 123, 123, 129, 119, 1135, 2957, 23731, 2939, 190, 1355, 1135, 1252, 1941, 1125, 2801, 116, 1171, 28983, 7933, 1510, 16647, 1147, 6942, 488, 125, 123, 123, 125, 119, 5940, 9461, 1161, 7422, 17669, 1147, 1643, 177, 1242, 1567, 1147, 488, 125, 123, 123, 128, 1576, 106, 106, 158, 2588, 488, 125, 123, 123, 132, 119, 1135, 7078, 17624, 5450, 114, 149, 25216, 1602, 13032, 2019, 21604, 1147, 2358, 2100, 1197, 25377, 14279, 1410, 2957, 8065, 1110, 2350, 2157, 10709, 18548, 15788, 30729, 1156, 1324, 1110, 22637, 14128, 3447, 23363, 1449, 1789, 1850, 5238, 1410, 2957, 5641, 30808, 19646, 1147, 1135, 27714, 1161, 1135, 23363, 1171, 1135, 29591, 1410, 3237, 1201, 11783, 1269, 1171, 3666, 4660, 16211, 2483, 3239, 1355, 1135, 10220, 1161, 1135, 2764, 2241, 3867, 19646, 1147, 1135, 7078, 17624, 5450, 114, 149, 172, 21165, 10101, 1430, 3210, 1280, 3062, 1238, 1135, 2957, 1361, 6755, 14114, 106, 106, 8857, 3232, 106, 106, 5475, 5641, 106, 2809, 3595, 1314, 13638, 3176, 1175, 124, 132, 129, 124, 1329, 488, 124, 132, 129, 125, 120, 125, 123, 125, 126, 1496, 24476, 1285, 15231, 2331, 10062, 106, 152, 7060, 1293, 11098, 4280, 24476, 1285, 11243, 5567, 4415, 2306, 1297, 106, 22448, 7323, 1293, 11098, 4280, 24476, 1285, 2306, 1285, 4415, 2306, 1297, 106, 141, 1608, 1379, 1293, 11098, 4280, 24476, 1285, 3987, 2982, 5962, 181, 2086, 6912, 1172, 4537, 106, 106, 4650, 11530, 5641, 106, 3681, 1262, 15021, 1119, 3174, 3406, 1231, 1238, 1135, 6030, 15656, 4160, 106, 106, 22525, 11114, 106, 124, 132, 132, 131, 133, 1671, 2610, 119, 14029, 15804, 19210, 9222, 31466, 2036, 106, 125, 123, 123, 125, 133, 30233, 5411, 1118, 6664, 14029, 15804, 19210, 9222, 31466, 2036, 106, 125, 123, 123, 126, 133, 13727, 1147, 9893, 1175, 124, 8175, 1563, 488, 124, 17557, 116, 11992, 1449, 9222, 31466, 2036, 106, 125, 123, 123, 128, 133, 15656, 1120, 2357, 5450, 114, 149, 25216, 19210, 119, 8917, 1449, 9222, 24258, 19210, 121, 106, 125, 123, 123, 130, 133, 1198, 1146, 2610, 1123, 1343, 2982, 19043, 190, 1171, 1115, 1770, 1219, 1429, 1161, 1863, 15047, 1175, 2029, 21523, 1156, 24717, 9164, 2910, 1135, 7801, 1731, 3918, 1634, 1161, 10170, 246, 2340, 29510, 1351, 1374, 1171, 1135, 4501, 1161, 5450, 114, 149, 25216, 1576, 26507, 4052, 5450, 114, 149, 25216, 1323, 7940, 11992, 1449, 1350, 174, 11547, 17123, 1297, 106, 125, 123, 123, 129, 133, 1459, 1135, 5623, 1436, 1610, 114, 5761, 4880, 19486, 1446, 1135, 31758, 18840, 1147, 1449, 20682, 4173, 6559, 1576, 106, 125, 123, 124, 123, 133, 13727, 488, 125, 123, 124, 123, 6047, 12602, 116, 11992, 1449, 9222, 24258, 19210, 121, 106, 125, 123, 124, 123, 133, 1266, 1261, 13633, 119, 5450, 114, 149, 25216, 19210, 119, 8917, 1449, 9222, 24258, 19210, 121, 106, 106, 152, 19486, 17842, 106, 155, 1172, 5778, 9467, 2181, 106, 159, 180, 5411, 1118, 22631, 106, 106, 152, 1153, 1926, 2704, 106, 125, 123, 124, 131, 133, 1233, 1142, 1195, 9046, 1171, 10958, 1164, 1377, 7615, 10709, 1111, 1366, 6794, 1449, 6868, 4339, 1314, 14299, 9599, 2966, 119, 18840, 1171, 12742, 1449, 1135, 5450, 462, 149, 25216, 1367, 2950, 1346, 18367, 8415, 4853, 1105, 1128, 106, 106, 26722, 14520, 106, 7089, 11076, 4877, 106, 155, 1172, 5778, 9467, 186, 4880, 19486, 6144, 116, 106, 159, 180, 17895, 17094, 1147, 9893, 1324, 19208, 1548, 2318, 1141, 106, 106, 20634, 1171, 22874, 106, 106, 1891, 15047, 1983, 10709, 2957, 106, 3732, 6110, 2957, 106, 152, 1153, 1926, 2957, 16864, 1147, 488, 124, 132, 131, 130, 106, 142, 2748, 1147, 1548, 18252, 1614, 4297, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 3562, 1202, 4583, 172, 9580, 1120, 24323, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 1299, 1158, 29586, 2009, 3440, 2607, 3555, 9891, 1125, 1158, 3453, 10041, 1139, 1146, 1124, 14630, 1242, 2794, 121, 106, 106, 151, 1500, 1125, 1440, 5505, 22160, 1170, 6660, 1164, 1475, 1538, 13054, 1110, 5416, 244, 1594, 3694, 1125, 14045, 1227, 27064, 1124, 1193, 8582, 3691, 1571, 10924, 8199, 14596, 1139, 1146, 1124, 14630, 1242, 1108, 1297, 106, 106, 3562, 6586, 3031, 3754, 6657, 1186, 2069, 5505, 5596, 6389, 1403, 1407, 172, 1167, 1170, 2324, 15499, 1136, 1810, 1207, 2069, 15953, 1244, 1392, 1281, 1508, 20096, 244, 1170, 3694, 1125, 14045, 1188, 1158, 1622, 1125, 1158, 3362, 3847, 106, 106, 151, 1500, 1227, 3151, 5505, 22160, 7383, 1197, 488, 124, 123, 14596, 10140, 3031, 14409, 244, 2069, 2768, 1571, 10924, 2905, 6428, 1346, 2648, 1207, 5999, 8199, 1281, 1508, 2385, 5034, 1234, 2391, 2519, 8093, 12244, 1188, 1158, 1622, 1227, 25985, 121, 106, 106, 151, 1500, 1227, 2423, 5505, 22160, 7383, 1197, 488, 124, 123, 14596, 10140, 3031, 14409, 244, 1318, 5860, 2768, 1571, 10924, 2905, 6428, 1346, 2648, 1207, 4593, 8199, 1281, 1508, 2385, 5034, 1234, 2391, 2519, 8093, 12244, 1188, 1158, 1622, 1227, 25985, 121, 106, 106, 3732, 4874, 2069, 8365, 6096, 12234, 2496, 3825, 1256, 1158, 21594, 172, 5806, 1395, 1287, 1104, 6088, 6765, 21106, 106, 106, 4455, 488, 124, 123, 14596, 10140, 6096, 133, 106, 106, 159, 1854, 1593, 1192, 1403, 1407, 172, 106, 106, 20363, 25985, 1281, 23408, 1125, 1158, 2076, 5228, 1309, 1207, 5505, 1517, 1192, 1403, 1407, 172, 11468, 1285, 1186, 2069, 25921, 1257, 106, 1643, 8093, 1125, 16538, 1257, 1207, 8826, 4408, 1635, 23835, 1125, 4322, 4587, 6093, 106, 1643, 8093, 12244, 1257, 1207, 14409, 1430, 7970, 120, 2360, 1157, 18615, 1197, 20456, 1773, 2137, 1188, 1158, 1622, 5907, 106, 106, 5449, 1483, 1125, 16538, 106, 106, 4455, 8826, 10431, 2385, 5034, 1129, 1188, 2069, 21402, 1207, 10924, 2905, 10431, 3702, 1189, 19325, 25333, 27118, 4371, 3041, 106, 106, 2606, 14408, 1299, 13342, 1300, 1170, 3688, 2247, 1125, 4153, 13753, 9321, 1146, 8648, 1188, 488, 126, 22233, 3904, 14271, 1188, 488, 124, 119, 2968, 20645, 1188, 488, 123, 1576, 106, 2606, 7882, 1272, 2804, 1281, 1844, 3702, 1207, 11522, 10088, 1257, 106, 1548, 2510, 1125, 27536, 106, 1643, 11641, 1125, 25460, 3896, 6204, 106, 1548, 2510, 1125, 25460, 21837, 3502, 106, 106, 2809, 14443, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 190, 106, 106, 3562, 2708, 1483, 4444, 1366, 106, 106, 4455, 5999, 10431, 5916, 14093, 1508, 7556, 3088, 1313, 1170, 11426, 2804, 21469, 1964, 14408, 3188, 3850, 106, 106, 1686, 2015, 1304, 28217, 1300, 1158, 8126, 1197, 2069, 3904, 1285, 3557, 10796, 4716, 22190, 1170, 1408, 1125, 25460, 1188, 28347, 1357, 22058, 12301, 2648, 1318, 14773, 1162, 1167, 1318, 13878, 1125, 8004, 190, 1317, 1663, 2004, 22003, 3601, 121, 106, 106, 6379, 1334, 488, 106, 106, 24864, 8092, 1773, 2137, 488, 106, 106, 16519, 1366, 488, 106, 106, 159, 1854, 1593, 2324, 15499, 10103, 106, 106, 20363, 25985, 1281, 23408, 1125, 1158, 2076, 5228, 1309, 1207, 5505, 1517, 2324, 15499, 10103, 11468, 1285, 1186, 3203, 25921, 1257, 106, 1643, 8093, 1125, 16538, 1257, 1207, 10924, 23835, 1125, 4322, 4587, 6093, 106, 1643, 8093, 25553, 11596, 1366, 1257, 1207, 7762, 23835, 1125, 16277, 6450, 7324, 106, 1643, 8093, 12244, 1257, 1207, 14409, 1430, 7970, 120, 2360, 1157, 18615, 1197, 20456, 1773, 2137, 1188, 1158, 1622, 5907, 106, 106, 5449, 1483, 1125, 16538, 488, 106, 106, 4455, 488, 124, 123, 10431, 2385, 5034, 1129, 1318, 2768, 1207, 10924, 2905, 10431, 3702, 1189, 19325, 25333, 27118, 4371, 3041, 106, 106, 2606, 14408, 1299, 13342, 1300, 1170, 3688, 2247, 1125, 4153, 13753, 9321, 1146, 8648, 1188, 488, 126, 22233, 3904, 14271, 1188, 488, 124, 119, 2968, 20645, 1188, 488, 123, 1576, 106, 2606, 7882, 1272, 2804, 1281, 1844, 3702, 1207, 11522, 10088, 1257, 106, 1548, 2510, 1125, 27536, 106, 1643, 11641, 1125, 25460, 3896, 6204, 106, 1548, 2510, 1125, 25460, 21837, 4413, 106, 106, 2809, 14443, 488, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 190, 106, 106, 3562, 2708, 1483, 1306, 1398, 11596, 1366, 488, 106, 106, 4455, 4593, 10431, 2385, 5034, 1129, 1318, 2768, 1207, 7762, 2905, 10431, 3702, 1189, 19325, 25333, 27118, 4371, 3041, 106, 106, 2606, 14408, 1299, 13342, 1300, 1170, 3688, 2247, 1125, 4153, 13753, 9321, 1146, 8648, 1188, 488, 126, 22233, 3904, 14271, 1188, 488, 124, 119, 2968, 20645, 1188, 488, 123, 1576, 106, 2606, 7882, 1272, 2804, 1281, 1844, 3702, 1207, 11522, 10088, 133, 106, 1548, 2510, 1125, 27536, 106, 1643, 11641, 1125, 25460, 3896, 6204, 106, 1548, 2510, 1125, 25460, 21837, 4413, 106, 106, 2809, 14443, 488, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 190, 106, 106, 3562, 2708, 1483, 4444, 1366, 106, 106, 4455, 5999, 10431, 5916, 14093, 1508, 7556, 3088, 1313, 1170, 11426, 2804, 21469, 1964, 14408, 3188, 3850, 106, 106, 1686, 2015, 1304, 28217, 1300, 1158, 8126, 1197, 2069, 3904, 1285, 3557, 10796, 4716, 22190, 1170, 1408, 1125, 25460, 1188, 28347, 1357, 22058, 12301, 2648, 1318, 14773, 1162, 1167, 1318, 13878, 1125, 8004, 190, 1317, 1663, 2004, 22003, 3601, 121, 106, 106, 6379, 1334, 488, 106, 106, 24864, 8092, 1773, 2137, 488, 106, 106, 16519, 1366, 488, 106, 106, 2809, 14443, 19520, 3193, 488, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 16519, 1366, 1227, 16277, 488, 106, 106, 141, 23868, 1227, 25985, 488, 106, 106, 2003, 12224, 488, 106, 106, 20634, 1167, 5474, 488, 106, 106, 8036, 2072, 488, 106, 106, 10026, 11052, 488, 106, 106, 26389, 1227, 27064, 1124, 1193, 8582, 1125, 7711, 106, 106, 28870, 5825, 488, 106, 106, 7649, 9229, 106, 106, 2330, 1916, 11249, 1227, 27064, 1124, 1193, 8582, 1125, 7711, 27064, 1124, 1193, 8582, 488, 125, 123, 123, 128, 1317, 27064, 1124, 1193, 8582, 488, 125, 123, 123, 129, 1317, 27064, 1124, 1193, 8582, 32001, 488, 106, 32000, 20036, 106, 1598, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 1202, 4583, 172, 9580, 1120, 24323, 1239, 1135, 4593, 1433, 4922, 3456, 16794, 1161, 1135, 27064, 1124, 14630, 1119, 1940, 10041, 121, 106, 106, 143, 6129, 1413, 5505, 172, 2121, 6660, 1164, 1475, 1538, 13054, 2827, 7736, 1789, 5783, 1296, 27712, 1161, 27064, 1124, 1193, 8582, 4064, 1135, 3263, 16606, 27064, 1124, 14630, 1119, 5878, 1297, 106, 106, 1598, 6062, 1463, 21867, 2127, 2197, 27834, 1285, 1135, 1192, 1403, 1407, 172, 1171, 2324, 15499, 1136, 1810, 1324, 1135, 5071, 8875, 1161, 3251, 1417, 13925, 1226, 1135, 27470, 5783, 1355, 1135, 2283, 1161, 1135, 25972, 106, 106, 1428, 1135, 1940, 5505, 172, 2121, 2483, 1161, 1135, 488, 124, 123, 29969, 14596, 9273, 4064, 1135, 2017, 16606, 11748, 6402, 8117, 1324, 1135, 3263, 3663, 11748, 19521, 1684, 1147, 1110, 2804, 8093, 1355, 1135, 2283, 1161, 1135, 5505, 172, 3041, 106, 106, 1428, 1135, 2423, 5505, 172, 2121, 2483, 1161, 1135, 488, 124, 123, 14596, 9273, 4064, 1135, 2017, 16606, 11748, 5376, 119, 1324, 1135, 3263, 4593, 11748, 1417, 13925, 1147, 1110, 2804, 8093, 1355, 1135, 2283, 1161, 1135, 5505, 172, 3041, 106, 106, 17909, 2197, 28541, 2025, 3969, 1226, 16538, 1226, 1135, 21594, 172, 5806, 1395, 1287, 1104, 6088, 6765, 21106, 106, 106, 1598, 488, 124, 123, 29969, 14596, 2025, 133, 106, 106, 140, 1403, 1407, 172, 20704, 4080, 106, 106, 5318, 27834, 11179, 1135, 2994, 4561, 1296, 5727, 1192, 1403, 1407, 172, 27834, 1285, 1324, 2197, 25921, 133, 106, 29433, 4264, 8093, 133, 488, 124, 131, 7094, 190, 1161, 3904, 1457, 106, 145, 7261, 8093, 133, 3489, 1171, 5064, 25653, 1261, 15792, 1446, 1135, 24868, 1773, 2314, 1163, 1135, 2804, 121, 106, 106, 29433, 4264, 2708, 1483, 106, 106, 1598, 5052, 11748, 9273, 2483, 2017, 18098, 1147, 1110, 8177, 1269, 20805, 10146, 121, 106, 106, 7135, 190, 2025, 21302, 6612, 1163, 1135, 6285, 2935, 1175, 126, 4153, 1226, 1110, 1144, 2982, 488, 124, 1226, 1110, 7264, 119, 488, 123, 1226, 1110, 7661, 1576, 106, 159, 1214, 8978, 1201, 2025, 14452, 1449, 133, 106, 7135, 1297, 106, 26580, 8603, 2685, 7190, 106, 22385, 2314, 22568, 121, 106, 106, 2003, 1265, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 1104, 106, 106, 145, 7261, 2708, 1483, 106, 106, 1598, 3663, 5916, 8096, 11748, 2025, 16498, 1156, 1147, 1135, 2804, 8093, 6612, 1163, 1789, 11430, 16136, 1297, 106, 106, 1428, 1135, 3571, 1161, 1110, 26259, 1147, 20584, 1230, 1694, 1121, 1346, 1135, 3390, 1302, 22568, 1135, 2481, 5064, 15083, 2098, 4237, 3655, 11179, 1449, 3993, 1907, 1171, 1110, 27548, 11777, 1261, 1411, 7459, 121, 106, 106, 6379, 106, 106, 158, 1320, 8092, 1773, 2314, 106, 106, 145, 7261, 106, 106, 2809, 15499, 10103, 20704, 4080, 106, 106, 5318, 27834, 11179, 1135, 2994, 4561, 1296, 5727, 2324, 15499, 10103, 27834, 1285, 1324, 3337, 25921, 133, 106, 29433, 4264, 8093, 133, 488, 132, 7094, 190, 1161, 3904, 1457, 106, 147, 1398, 11596, 1132, 8093, 133, 488, 128, 7119, 7094, 190, 1161, 3904, 1457, 106, 145, 7261, 8093, 133, 3489, 1171, 5064, 25653, 1261, 15792, 1446, 1135, 24868, 1773, 2314, 1163, 1135, 2804, 121, 106, 106, 29433, 4264, 2708, 1483, 106, 106, 1598, 488, 124, 123, 11748, 9273, 2483, 2017, 5376, 1147, 1110, 8177, 1269, 20805, 10146, 121, 106, 106, 7135, 190, 2025, 21302, 6612, 1163, 1135, 6285, 2935, 1175, 126, 4153, 1226, 1110, 1144, 2982, 488, 124, 1226, 1110, 7264, 119, 488, 123, 1226, 1110, 7661, 1576, 106, 159, 1214, 8978, 1201, 2025, 14452, 1449, 133, 106, 7135, 1297, 106, 26580, 8603, 2685, 7190, 106, 22385, 2314, 22568, 121, 106, 106, 2003, 1265, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 1104, 106, 106, 147, 1398, 11596, 1132, 2708, 1483, 106, 106, 1598, 4593, 11748, 9273, 2483, 2017, 5376, 1147, 1110, 8177, 1269, 20805, 10146, 121, 106, 106, 7135, 190, 2025, 21302, 6612, 1163, 1135, 6285, 2935, 1175, 126, 4153, 1226, 1110, 1144, 2982, 488, 124, 1226, 1110, 7264, 119, 488, 123, 1226, 1110, 7661, 1576, 106, 159, 1214, 8978, 1201, 2025, 14452, 1449, 133, 106, 7135, 1297, 106, 26580, 8603, 2685, 7190, 106, 22385, 2314, 22568, 121, 106, 106, 2003, 1265, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 1104, 106, 106, 145, 7261, 2708, 1483, 106, 106, 1598, 3663, 5916, 8096, 11748, 2025, 16498, 1156, 1147, 1135, 2804, 8093, 6612, 1163, 1789, 11430, 16136, 1297, 106, 106, 1428, 1135, 3571, 1161, 1110, 26259, 1147, 20584, 1230, 1694, 1121, 1346, 1135, 3390, 1302, 22568, 1135, 2481, 5064, 15083, 2098, 4237, 3655, 11179, 1449, 3993, 1907, 1171, 27548, 11777, 1261, 1411, 7459, 121, 106, 106, 6379, 106, 106, 158, 1320, 8092, 1773, 2314, 106, 106, 145, 7261, 106, 106, 142, 9741, 1985, 22974, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 2330, 1916, 13336, 22722, 106, 106, 159, 1854, 4080, 10370, 5067, 106, 106, 2003, 22218, 106, 106, 20634, 1171, 1863, 9520, 106, 106, 21320, 1959, 106, 106, 153, 1146, 1124, 14630, 1119, 7711, 27470, 106, 106, 26722, 14520, 106, 106, 7089, 11076, 4877, 106, 106, 153, 1146, 1124, 14630, 1119, 7711, 19047, 27064, 1124, 1193, 8582, 488, 125, 123, 123, 128, 1147, 27064, 1124, 1193, 8582, 488, 125, 123, 123, 129, 1147, 27064, 1124, 1193, 8582, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 488, 125, 123, 123, 128, 120, 125, 123, 123, 129, 1202, 4583, 172, 9580, 1120, 24323, 1239, 1135, 4593, 1433, 4922, 3456, 16794, 1161, 1135, 27064, 1124, 14630, 1119, 1940, 10041, 121, 106, 106, 143, 6129, 1413, 5505, 172, 2121, 6660, 1164, 1475, 1538, 13054, 2827, 7736, 1789, 5783, 1296, 27712, 1161, 27064, 1124, 1193, 8582, 4064, 1135, 3263, 16606, 27064, 1124, 14630, 1119, 5878, 1297, 106, 106, 1598, 6062, 1463, 21867, 2127, 2197, 27834, 1285, 1135, 1192, 1403, 1407, 172, 1171, 2324, 15499, 1136, 1810, 1324, 1135, 5071, 8875, 1161, 3251, 1417, 13925, 1226, 1135, 27470, 5783, 1355, 1135, 2283, 1161, 1135, 25972, 106, 106, 1428, 1135, 1940, 5505, 172, 2121, 2483, 1161, 1135, 488, 124, 123, 29969, 14596, 9273, 4064, 1135, 2017, 16606, 11748, 6402, 8117, 1324, 1135, 3263, 3663, 11748, 19521, 1684, 1147, 1110, 2804, 8093, 1355, 1135, 2283, 1161, 1135, 5505, 172, 3041, 106, 106, 1428, 1135, 2423, 5505, 172, 2121, 2483, 1161, 1135, 488, 124, 123, 14596, 9273, 4064, 1135, 2017, 16606, 11748, 5376, 119, 1324, 1135, 3263, 4593, 11748, 1417, 13925, 1147, 1110, 2804, 8093, 1355, 1135, 2283, 1161, 1135, 5505, 172, 3041, 106, 106, 17909, 2197, 28541, 2025, 3969, 1226, 16538, 1226, 1135, 21594, 172, 5806, 1395, 1287, 1104, 6088, 6765, 21106, 106, 106, 1598, 488, 124, 123, 29969, 14596, 2025, 133, 106, 106, 140, 1403, 1407, 172, 20704, 4080, 106, 106, 5318, 27834, 11179, 1135, 2994, 4561, 1296, 5727, 1192, 1403, 1407, 172, 27834, 1285, 1324, 2197, 25921, 133, 106, 29433, 4264, 8093, 133, 488, 124, 131, 7094, 190, 1161, 3904, 1457, 106, 145, 7261, 8093, 133, 3489, 1171, 5064, 25653, 1261, 15792, 1446, 1135, 24868, 1773, 2314, 1163, 1135, 2804, 121, 106, 106, 29433, 4264, 2708, 1483, 106, 106, 1598, 5052, 11748, 9273, 2483, 2017, 18098, 1147, 1110, 8177, 1269, 20805, 10146, 121, 106, 106, 7135, 190, 2025, 21302, 6612, 1163, 1135, 6285, 2935, 1175, 126, 4153, 1226, 1110, 1144, 2982, 488, 124, 1226, 1110, 7264, 119, 488, 123, 1226, 1110, 7661, 1576, 106, 159, 1214, 8978, 1201, 2025, 14452, 1449, 133, 106, 7135, 1297, 106, 26580, 8603, 2685, 7190, 106, 22385, 2314, 22568, 121, 106, 106, 2003, 1265, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 1104, 106, 106, 145, 7261, 2708, 1483, 106, 106, 1598, 3663, 5916, 8096, 11748, 2025, 16498, 1156, 1147, 1135, 2804, 8093, 6612, 1163, 1789, 11430, 16136, 1297, 106, 106, 1428, 1135, 3571, 1161, 1110, 26259, 1147, 20584, 1230, 1694, 1121, 1346, 1135, 3390, 1302, 22568, 1135, 2481, 5064, 15083, 2098, 4237, 3655, 11179, 1449, 3993, 1907, 1171, 1110, 27548, 11777, 1261, 1411, 7459, 121, 106, 106, 6379, 106, 106, 158, 1320, 8092, 1773, 2314, 106, 106, 145, 7261, 106, 106, 2809, 15499, 10103, 20704, 4080, 106, 106, 5318, 27834, 11179, 1135, 2994, 4561, 1296, 5727, 2324, 15499, 10103, 27834, 1285, 1324, 3337, 25921, 133, 106, 29433, 4264, 8093, 133, 488, 132, 7094, 190, 1161, 3904, 1457, 106, 147, 1398, 11596, 1132, 8093, 133, 488, 128, 7119, 7094, 190, 1161, 3904, 1457, 106, 145, 7261, 8093, 133, 3489, 1171, 5064, 25653, 1261, 15792, 1446, 1135, 24868, 1773, 2314, 1163, 1135, 2804, 121, 106, 106, 29433, 4264, 2708, 1483, 106, 106, 1598, 488, 124, 123, 11748, 9273, 2483, 2017, 5376, 1147, 1110, 8177, 1269, 20805, 10146, 121, 106, 106, 7135, 190, 2025, 21302, 6612, 1163, 1135, 6285, 2935, 1175, 126, 4153, 1226, 1110, 1144, 2982, 488, 124, 1226, 1110, 7264, 119, 488, 123, 1226, 1110, 7661, 1576, 106, 159, 1214, 8978, 1201, 2025, 14452, 1449, 133, 106, 7135, 1297, 106, 26580, 8603, 2685, 7190, 106, 22385, 2314, 22568, 121, 106, 106, 2003, 1265, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 1104, 106, 106, 147, 1398, 11596, 1132, 2708, 1483, 106, 106, 1598, 4593, 11748, 9273, 2483, 2017, 5376, 1147, 1110, 8177, 1269, 20805, 10146, 121, 106, 106, 7135, 190, 2025, 21302, 6612, 1163, 1135, 6285, 2935, 1175, 126, 4153, 1226, 1110, 1144, 2982, 488, 124, 1226, 1110, 7264, 119, 488, 123, 1226, 1110, 7661, 1576, 106, 159, 1214, 8978, 1201, 2025, 14452, 1449, 133, 106, 7135, 1297, 106, 26580, 8603, 2685, 7190, 106, 22385, 2314, 22568, 121, 106, 106, 2003, 1265, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 10747, 1104, 106, 106, 145, 7261, 2708, 1483, 106, 106, 1598, 3663, 5916, 8096, 11748, 2025, 16498, 1156, 1147, 1135, 2804, 8093, 6612, 1163, 1789, 11430, 16136, 1297, 106, 106, 1428, 1135, 3571, 1161, 1110, 26259, 1147, 20584, 1230, 1694, 1121, 1346, 1135, 3390, 1302, 22568, 1135, 2481, 5064, 15083, 2098, 4237, 3655, 11179, 1449, 3993, 1907, 1171, 27548, 11777, 1261, 1411, 7459, 121, 106, 106, 6379, 106, 106, 158, 1320, 8092, 1773, 2314, 106, 106, 145, 7261, 106, 106, 142, 9741, 1985, 22974, 1972, 106, 106, 199, 1613, 1442, 136, 5847, 9079, 136, 4475, 6638, 136, 128, 123, 112, 199, 106, 106, 199, 200, 106, 106, 2330, 1916, 13336, 22722, 106, 106, 159, 1854, 4080, 10370, 5067, 106, 106, 2003, 22218, 106, 106, 20634, 1171, 1863, 9520, 106, 106, 21320, 1959, 106, 106, 153, 1146, 1124, 14630, 1119, 7711, 27470, 106, 106, 26722, 14520, 106, 106, 7089, 11076, 4877, 106, 106, 153, 1146, 1124, 14630, 1119, 7711, 19047, 27064, 1124, 1193, 8582, 488, 125, 123, 123, 128, 1147, 27064, 1124, 1193, 8582, 488, 125, 123, 123, 129, 1147, 27064, 1124, 1193, 8582, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 147, 1142, 5250, 11174, 3476, 1959, 5388, 1296, 1306, 1142, 5250, 1200, 1259, 4780, 1239, 1151, 17134, 1171, 5687, 5360, 8452, 16289, 488, 125, 13453, 19718, 1161, 20692, 7362, 1171, 488, 124, 29278, 10553, 14654, 1161, 1192, 1412, 1108, 28649, 1147, 1306, 1494, 7362, 2393, 6785, 1238, 1135, 1656, 5005, 24399, 1161, 9485, 1147, 1135, 4909, 16983, 121, 1410, 17134, 3431, 2197, 3564, 10101, 1445, 1285, 1704, 1161, 1758, 1463, 7406, 1449, 9197, 10548, 1201, 1161, 6928, 1147, 1135, 488, 124, 130, 132, 123, 1297, 1410, 7435, 190, 2692, 1830, 1192, 1412, 1108, 5523, 21785, 7129, 121, 3985, 1243, 1807, 1192, 1107, 1259, 9084, 1239, 8452, 2351, 1163, 1135, 19718, 1171, 1135, 1204, 124, 13156, 2850, 24266, 1163, 1135, 12961, 121, 106, 106, 24436, 1171, 5456, 106, 1598, 8836, 1126, 12542, 2441, 1163, 488, 124, 130, 132, 131, 120, 132, 132, 119, 2043, 1341, 1463, 7406, 1449, 11941, 14760, 1857, 31270, 1128, 6021, 1226, 9605, 13598, 11184, 18021, 1161, 1135, 1254, 16264, 1161, 21815, 1274, 2114, 1163, 11973, 1173, 21735, 11174, 6204, 1988, 1239, 1110, 16824, 1244, 1293, 1752, 1146, 20735, 1171, 1135, 17134, 7245, 15130, 1116, 3604, 6523, 1138, 2162, 1285, 1171, 1110, 2612, 1495, 2566, 1238, 1135, 10101, 1445, 121, 106, 106, 153, 2461, 9177, 1153, 3795, 193, 190, 1977, 9547, 1302, 1341, 1239, 1110, 5145, 3099, 1488, 1589, 28166, 1324, 13180, 11111, 1171, 1440, 1160, 1156, 1324, 1110, 28315, 9728, 1324, 1110, 2515, 174, 1770, 1120, 4095, 2133, 1959, 9547, 1302, 1135, 26182, 1171, 10553, 16505, 1393, 7787, 15196, 1132, 1171, 1302, 1135, 5416, 6497, 1602, 1151, 1235, 1168, 9203, 5787, 3043, 7074, 4095, 1410, 8836, 1126, 1239, 7406, 1161, 1138, 8543, 1324, 1110, 8677, 488, 127, 5766, 1345, 196, 1163, 4120, 1235, 2307, 2268, 1156, 1449, 13216, 11596, 1132, 13180, 11111, 1163, 7663, 488, 127, 5766, 1345, 196, 1138, 1775, 1324, 26197, 1138, 1775, 1161, 488, 125, 6083, 1591, 1171, 1110, 6470, 1127, 1220, 1379, 19605, 4095, 1410, 13180, 11111, 1537, 3438, 1123, 7021, 1285, 1758, 1393, 4163, 8451, 1589, 1171, 2669, 1108, 1488, 14082, 6457, 1364, 1239, 1135, 1235, 1237, 10046, 25919, 23000, 4959, 1324, 1110, 1152, 3724, 1427, 1440, 12903, 1171, 1293, 1752, 1146, 2824, 1265, 2194, 4095, 1988, 7905, 1110, 6410, 1208, 4988, 117, 14347, 6540, 1238, 6384, 488, 125, 119, 488, 124, 132, 131, 127, 121, 1988, 1239, 1110, 3172, 29235, 19087, 1449, 1135, 1933, 6655, 1120, 4772, 1171, 1239, 1375, 3275, 1163, 1135, 19454, 106, 106, 4515, 1463, 8420, 1147, 488, 124, 131, 124, 131, 1449, 13598, 2007, 1163, 4172, 8762, 6763, 6796, 2000, 8627, 1226, 1135, 9324, 8961, 11444, 18349, 1762, 1226, 1758, 1386, 6086, 1156, 5057, 8961, 11444, 1492, 7164, 134, 1386, 1375, 4835, 3512, 1589, 1147, 1135, 16272, 1161, 1202, 1203, 186, 20292, 2036, 1405, 1614, 1765, 6775, 1147, 488, 124, 131, 127, 126, 119, 1765, 1594, 7451, 1248, 1558, 17428, 6763, 1554, 20369, 1156, 12855, 2133, 12743, 1147, 488, 124, 131, 129, 129, 1171, 1463, 20369, 1156, 1449, 1765, 1288, 187, 15296, 10341, 27077, 22708, 194, 1990, 6763, 6796, 2000, 12743, 1147, 488, 124, 131, 130, 125, 119, 2043, 1306, 1142, 5250, 8576, 1163, 1765, 1594, 10341, 27077, 1410, 1259, 8796, 2000, 8420, 1135, 5360, 1171, 8115, 1147, 488, 124, 132, 123, 129, 1163, 12492, 1192, 1412, 1108, 5523, 121, 106, 106, 2471, 1444, 12959, 106, 1598, 10101, 1445, 6289, 1182, 1163, 1135, 5360, 1239, 4494, 1306, 1142, 5250, 3079, 1444, 1445, 1171, 1239, 19087, 1449, 7990, 21026, 20692, 1657, 1988, 1239, 13085, 1296, 1110, 3020, 31013, 1449, 1135, 1306, 8377, 1171, 1204, 3903, 1328, 1398, 17047, 18467, 18887, 1171, 1239, 1375, 3275, 1163, 1135, 14510, 5547, 1449, 17217, 3041, 1988, 1463, 7406, 1147, 488, 124, 132, 128, 126, 121, 106, 106, 1598, 23763, 5630, 10101, 1445, 1239, 4494, 1192, 1412, 1108, 5523, 3079, 1444, 1445, 1171, 1239, 1910, 1161, 1192, 1412, 1108, 5523, 21785, 7129, 121, 1988, 1239, 3275, 1163, 1135, 1721, 1324, 1441, 2312, 1171, 2017, 7795, 7683, 1171, 31080, 1110, 1114, 25239, 5878, 121, 1988, 1463, 7406, 1449, 9197, 10548, 1201, 1161, 6928, 3545, 1135, 1266, 1301, 1731, 15845, 6832, 1297, 106, 106, 145, 6417, 1149, 5589, 106, 1598, 8836, 1126, 1361, 9579, 1406, 1163, 1135, 1233, 1345, 5523, 7439, 5490, 1180, 1171, 2019, 20650, 1537, 7947, 1163, 2019, 27286, 1147, 5057, 5355, 6446, 1171, 3418, 1285, 3813, 15432, 4279, 1518, 1287, 8543, 1361, 3418, 1200, 1172, 10205, 1175, 124, 132, 129, 125, 116, 2468, 1341, 19562, 1296, 6824, 3632, 3318, 1121, 109, 1163, 10948, 1173, 1488, 2563, 1147, 9605, 29074, 1652, 1361, 3418, 11089, 1596, 10789, 1252, 2610, 1175, 124, 132, 129, 126, 1496, 1171, 1151, 14975, 1161, 20605, 1390, 1171, 27263, 182, 31459, 1175, 2524, 1159, 3245, 116, 7202, 3952, 1135, 21903, 14770, 18683, 10306, 4340, 1523, 488, 124, 132, 129, 132, 116, 2043, 1341, 1239, 31311, 1449, 29012, 8559, 11403, 121, 32001, 488, 106, 32000, 20036, 106, 114, 147, 1142, 5250, 11174, 3476, 2445, 1306, 1142, 5250, 1200, 19929, 1299, 1189, 6468, 1167, 1318, 4685, 1125, 9625, 1188, 3997, 488, 125, 13453, 1188, 21204, 1125, 20692, 7362, 1167, 1188, 488, 124, 29278, 1317, 18762, 13469, 5519, 1412, 1108, 28649, 1313, 1170, 1306, 1494, 7362, 2393, 6785, 1188, 1158, 26373, 2974, 1125, 20024, 1317, 16533, 3266, 1548, 6468, 11550, 2069, 6804, 5426, 1445, 1285, 2487, 6113, 1110, 1913, 13826, 1215, 1197, 22840, 2007, 1125, 6545, 2720, 1313, 1207, 4092, 488, 124, 130, 132, 123, 121, 1808, 15176, 30139, 7030, 1192, 1412, 1108, 5523, 21785, 7129, 121, 31361, 3149, 17016, 6348, 183, 1243, 1807, 1299, 8446, 5706, 1188, 21204, 1167, 1282, 7373, 2734, 1204, 124, 4212, 1188, 29487, 121, 106, 106, 30609, 1167, 5456, 106, 2606, 13337, 3110, 1125, 488, 124, 130, 132, 131, 120, 132, 132, 119, 26639, 1110, 1913, 13826, 1215, 1282, 23821, 15357, 14760, 1857, 31270, 1128, 6021, 1256, 9605, 13598, 11184, 15722, 1227, 23366, 1125, 21815, 1274, 2114, 1256, 18051, 1170, 13337, 1125, 1173, 1269, 1297, 6053, 1318, 10533, 1185, 1752, 1460, 1113, 2570, 4731, 5161, 1167, 1170, 6468, 9016, 1125, 5087, 1116, 3604, 6523, 1638, 6852, 1167, 1189, 22076, 1124, 1188, 27334, 1541, 1300, 1170, 5426, 1445, 121, 106, 106, 153, 2461, 9177, 1153, 3795, 193, 190, 1977, 5698, 3365, 10515, 2519, 1606, 4685, 2669, 1538, 1140, 2806, 1188, 1919, 4740, 1328, 1167, 27058, 1303, 1469, 1318, 31263, 1286, 1469, 15840, 176, 4821, 1768, 5698, 2445, 1309, 24570, 1167, 1207, 17206, 7758, 1508, 7787, 1630, 9310, 1167, 1309, 1170, 5416, 4371, 1299, 1304, 207, 7074, 4037, 1395, 1234, 5787, 1960, 4821, 1548, 13337, 1299, 13826, 1186, 1138, 3415, 1469, 1318, 3543, 13676, 1125, 488, 127, 1754, 1741, 1606, 2164, 1119, 9422, 1125, 1919, 4740, 1328, 13216, 1307, 1105, 2137, 1188, 1197, 21843, 1429, 3529, 2974, 1842, 1125, 488, 127, 1754, 1741, 1469, 1197, 21843, 1429, 20138, 1842, 1125, 488, 125, 1754, 1741, 1469, 1189, 24333, 1374, 1127, 1220, 1379, 244, 1408, 7959, 4821, 1808, 1919, 4740, 1328, 2004, 1197, 26712, 1188, 1131, 11835, 1357, 1508, 1188, 15836, 1146, 2610, 1120, 1167, 2669, 1538, 1140, 6002, 1192, 13533, 1158, 5207, 5738, 1125, 4170, 29465, 21395, 13216, 1307, 1105, 1366, 1469, 1189, 19156, 1873, 261, 1389, 1167, 1318, 6112, 10990, 1185, 1752, 1460, 4095, 1768, 1299, 12749, 1189, 12685, 14399, 6410, 1208, 4988, 117, 1170, 488, 125, 2798, 488, 124, 132, 131, 127, 121, 6053, 1318, 4685, 11069, 1357, 17904, 1188, 1158, 4446, 1933, 6655, 1120, 1167, 4249, 1382, 15425, 1317, 19454, 106, 106, 5164, 1299, 24511, 1186, 488, 124, 131, 124, 131, 1215, 13598, 2007, 1188, 4172, 8762, 6763, 6796, 1357, 9900, 1256, 1158, 30302, 14898, 1197, 1459, 3436, 8286, 12043, 1256, 5685, 1527, 5759, 3171, 26921, 1197, 1459, 3436, 8286, 2137, 2040, 1527, 1110, 3747, 20888, 1188, 1158, 16535, 1125, 1202, 1203, 186, 20292, 2036, 4511, 1561, 4541, 1186, 488, 124, 131, 127, 126, 119, 1594, 8658, 7451, 1248, 1558, 17428, 6763, 1554, 2435, 6728, 6106, 121, 1768, 19859, 1186, 488, 124, 131, 129, 129, 1167, 1299, 21119, 1215, 1594, 1288, 1196, 192, 10341, 27077, 22708, 194, 1990, 6763, 6796, 19956, 1186, 488, 124, 131, 130, 125, 119, 4885, 1306, 1142, 5250, 4212, 1188, 1594, 8658, 10341, 27077, 1410, 1259, 8796, 1357, 9516, 1158, 4685, 1167, 1170, 4742, 1186, 488, 124, 132, 123, 129, 1188, 12492, 1192, 1412, 1108, 5523, 121, 106, 106, 157, 1234, 1444, 12959, 106, 2606, 5426, 1445, 1170, 1408, 9993, 1125, 1158, 4685, 11102, 1378, 1170, 5426, 1445, 1306, 1142, 5250, 1167, 17904, 1188, 7990, 21026, 20692, 1657, 1768, 1299, 1185, 5364, 1856, 1318, 8166, 13219, 1215, 1170, 1306, 8377, 1171, 1204, 3903, 1328, 1398, 17047, 18467, 18887, 1167, 4249, 1382, 10193, 1317, 14510, 10278, 1300, 7721, 121, 1768, 1110, 1913, 13826, 1186, 488, 124, 132, 128, 126, 121, 106, 106, 2606, 5426, 1445, 1170, 1408, 1317, 7758, 11102, 1378, 1170, 5426, 1445, 5519, 1412, 1108, 5523, 1167, 1844, 3247, 1227, 4742, 3781, 5519, 1412, 1108, 5523, 121, 1768, 1299, 10193, 1317, 1721, 1469, 1197, 6567, 1201, 1167, 5610, 7795, 7683, 1167, 21570, 1189, 5878, 1125, 28783, 121, 1768, 1110, 1913, 13826, 1215, 1197, 22840, 2007, 1125, 6545, 2720, 3672, 1158, 6545, 1139, 31846, 28355, 106, 106, 151, 2466, 1125, 5505, 1272, 106, 3562, 11793, 1227, 13337, 1469, 1207, 5490, 1180, 1125, 1233, 1345, 5523, 7439, 1167, 1594, 3851, 1419, 1282, 1258, 1844, 4124, 4411, 1313, 3171, 18767, 8743, 11650, 1167, 3418, 1285, 2487, 1170, 3418, 1125, 15432, 4279, 1518, 1287, 8543, 1200, 1172, 10205, 1175, 124, 132, 129, 125, 116, 26639, 12425, 1125, 6824, 3632, 3318, 1121, 109, 1188, 10948, 1173, 1488, 2563, 1313, 1170, 3418, 1125, 9605, 29074, 26787, 1204, 1929, 1373, 1317, 8684, 1273, 1175, 124, 132, 129, 126, 1496, 1167, 1189, 15956, 1125, 20605, 1390, 1167, 27263, 182, 31459, 6047, 1416, 12374, 116, 7202, 2616, 1158, 5921, 1357, 1110, 1667, 11296, 488, 124, 132, 129, 132, 116, 26639, 1299, 7723, 244, 1215, 29012, 8559, 11403, 121, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 16976, 2070, 14399, 1125, 6410, 1208, 4988, 117, 1313, 1170, 8940, 7362, 27795, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 114, 147, 1142, 5250, 11174, 3476, 2445, 1306, 1142, 5250, 1200, 19929, 1299, 1189, 6468, 1167, 1318, 4685, 1125, 9625, 1188, 3997, 488, 125, 13453, 1188, 21204, 1125, 20692, 7362, 1167, 1188, 488, 124, 29278, 1317, 18762, 13469, 5519, 1412, 1108, 28649, 1313, 1170, 1306, 1494, 7362, 2393, 6785, 1188, 1158, 26373, 2974, 1125, 20024, 1317, 16533, 3266, 1548, 6468, 11550, 2069, 6804, 5426, 1445, 1285, 2487, 6113, 1110, 1913, 13826, 1215, 1197, 22840, 2007, 1125, 6545, 2720, 1313, 1207, 4092, 488, 124, 130, 132, 123, 121, 1808, 15176, 30139, 7030, 1192, 1412, 1108, 5523, 21785, 7129, 121, 31361, 3149, 17016, 6348, 183, 1243, 1807, 1299, 8446, 5706, 1188, 21204, 1167, 1282, 7373, 2734, 1204, 124, 4212, 1188, 29487, 121, 106, 106, 30609, 1167, 5456, 106, 2606, 13337, 3110, 1125, 488, 124, 130, 132, 131, 120, 132, 132, 119, 26639, 1110, 1913, 13826, 1215, 1282, 23821, 15357, 14760, 1857, 31270, 1128, 6021, 1256, 9605, 13598, 11184, 15722, 1227, 23366, 1125, 21815, 1274, 2114, 1256, 18051, 1170, 13337, 1125, 1173, 1269, 1297, 6053, 1318, 10533, 1185, 1752, 1460, 1113, 2570, 4731, 5161, 1167, 1170, 6468, 9016, 1125, 5087, 1116, 3604, 6523, 1638, 6852, 1167, 1189, 22076, 1124, 1188, 27334, 1541, 1300, 1170, 5426, 1445, 121, 106, 106, 153, 2461, 9177, 1153, 3795, 193, 190, 1977, 5698, 3365, 10515, 2519, 1606, 4685, 2669, 1538, 1140, 2806, 1188, 1919, 4740, 1328, 1167, 27058, 1303, 1469, 1318, 31263, 1286, 1469, 15840, 176, 4821, 1768, 5698, 2445, 1309, 24570, 1167, 1207, 17206, 7758, 1508, 7787, 1630, 9310, 1167, 1309, 1170, 5416, 4371, 1299, 1304, 207, 7074, 4037, 1395, 1234, 5787, 1960, 4821, 1548, 13337, 1299, 13826, 1186, 1138, 3415, 1469, 1318, 3543, 13676, 1125, 488, 127, 1754, 1741, 1606, 2164, 1119, 9422, 1125, 1919, 4740, 1328, 13216, 1307, 1105, 2137, 1188, 1197, 21843, 1429, 3529, 2974, 1842, 1125, 488, 127, 1754, 1741, 1469, 1197, 21843, 1429, 20138, 1842, 1125, 488, 125, 1754, 1741, 1469, 1189, 24333, 1374, 1127, 1220, 1379, 244, 1408, 7959, 4821, 1808, 1919, 4740, 1328, 2004, 1197, 26712, 1188, 1131, 11835, 1357, 1508, 1188, 15836, 1146, 2610, 1120, 1167, 2669, 1538, 1140, 6002, 1192, 13533, 1158, 5207, 5738, 1125, 4170, 29465, 21395, 13216, 1307, 1105, 1366, 1469, 1189, 19156, 1873, 261, 1389, 1167, 1318, 6112, 10990, 1185, 1752, 1460, 4095, 1768, 1299, 12749, 1189, 12685, 14399, 6410, 1208, 4988, 117, 1170, 488, 125, 2798, 488, 124, 132, 131, 127, 121, 6053, 1318, 4685, 11069, 1357, 17904, 1188, 1158, 4446, 1933, 6655, 1120, 1167, 4249, 1382, 15425, 1317, 19454, 106, 106, 5164, 1299, 24511, 1186, 488, 124, 131, 124, 131, 1215, 13598, 2007, 1188, 4172, 8762, 6763, 6796, 1357, 9900, 1256, 1158, 30302, 14898, 1197, 1459, 3436, 8286, 12043, 1256, 5685, 1527, 5759, 3171, 26921, 1197, 1459, 3436, 8286, 2137, 2040, 1527, 1110, 3747, 20888, 1188, 1158, 16535, 1125, 1202, 1203, 186, 20292, 2036, 4511, 1561, 4541, 1186, 488, 124, 131, 127, 126, 119, 1594, 8658, 7451, 1248, 1558, 17428, 6763, 1554, 2435, 6728, 6106, 121, 1768, 19859, 1186, 488, 124, 131, 129, 129, 1167, 1299, 21119, 1215, 1594, 1288, 1196, 192, 10341, 27077, 22708, 194, 1990, 6763, 6796, 19956, 1186, 488, 124, 131, 130, 125, 119, 4885, 1306, 1142, 5250, 4212, 1188, 1594, 8658, 10341, 27077, 1410, 1259, 8796, 1357, 9516, 1158, 4685, 1167, 1170, 4742, 1186, 488, 124, 132, 123, 129, 1188, 12492, 1192, 1412, 1108, 5523, 121, 106, 106, 157, 1234, 1444, 12959, 106, 2606, 5426, 1445, 1170, 1408, 9993, 1125, 1158, 4685, 11102, 1378, 1170, 5426, 1445, 1306, 1142, 5250, 1167, 17904, 1188, 7990, 21026, 20692, 1657, 1768, 1299, 1185, 5364, 1856, 1318, 8166, 13219, 1215, 1170, 1306, 8377, 1171, 1204, 3903, 1328, 1398, 17047, 18467, 18887, 1167, 4249, 1382, 10193, 1317, 14510, 10278, 1300, 7721, 121, 1768, 1110, 1913, 13826, 1186, 488, 124, 132, 128, 126, 121, 106, 106, 2606, 5426, 1445, 1170, 1408, 1317, 7758, 11102, 1378, 1170, 5426, 1445, 5519, 1412, 1108, 5523, 1167, 1844, 3247, 1227, 4742, 3781, 5519, 1412, 1108, 5523, 121, 1768, 1299, 10193, 1317, 1721, 1469, 1197, 6567, 1201, 1167, 5610, 7795, 7683, 1167, 21570, 1189, 5878, 1125, 28783, 121, 1768, 1110, 1913, 13826, 1215, 1197, 22840, 2007, 1125, 6545, 2720, 3672, 1158, 6545, 1139, 31846, 28355, 106, 106, 151, 2466, 1125, 5505, 1272, 106, 3562, 11793, 1227, 13337, 1469, 1207, 5490, 1180, 1125, 1233, 1345, 5523, 7439, 1167, 1594, 3851, 1419, 1282, 1258, 1844, 4124, 4411, 1313, 3171, 18767, 8743, 11650, 1167, 3418, 1285, 2487, 1170, 3418, 1125, 15432, 4279, 1518, 1287, 8543, 1200, 1172, 10205, 1175, 124, 132, 129, 125, 116, 26639, 12425, 1125, 6824, 3632, 3318, 1121, 109, 1188, 10948, 1173, 1488, 2563, 1313, 1170, 3418, 1125, 9605, 29074, 26787, 1204, 1929, 1373, 1317, 8684, 1273, 1175, 124, 132, 129, 126, 1496, 1167, 1189, 15956, 1125, 20605, 1390, 1167, 27263, 182, 31459, 6047, 1416, 12374, 116, 7202, 2616, 1158, 5921, 1357, 1110, 1667, 11296, 488, 124, 132, 129, 132, 116, 26639, 1299, 7723, 244, 1215, 29012, 8559, 11403, 121, 106, 106, 10853, 106, 106, 28870, 5825, 106, 106, 16976, 2070, 14399, 1125, 6410, 1208, 4988, 117, 1313, 1170, 8940, 7362, 27795, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 157, 31326, 4172, 12183, 2691, 3454, 2765, 2690, 25121, 3454, 2765, 1299, 1189, 10907, 1836, 14898, 5252, 1170, 488, 488, 124, 1107, 2578, 488, 124, 132, 129, 126, 1188, 1222, 2548, 5250, 1313, 1170, 14214, 173, 1591, 25907, 1186, 1645, 14691, 9770, 1768, 1299, 1170, 10907, 1836, 1227, 3274, 12111, 1548, 1228, 1379, 2757, 488, 124, 132, 130, 131, 121, 1548, 488, 126, 124, 2584, 488, 124, 132, 131, 127, 119, 1527, 7171, 1594, 16021, 8632, 1313, 1189, 9732, 1125, 4715, 7471, 1768, 16853, 18732, 1561, 9245, 119, 1186, 3227, 1199, 1469, 1189, 4374, 16021, 1167, 1909, 15338, 1300, 1318, 18973, 14164, 1277, 1256, 26467, 106, 106, 141, 11741, 488, 106, 157, 2057, 26194, 8718, 1188, 9571, 1125, 1158, 18973, 1469, 1207, 1447, 191, 1462, 3045, 1125, 9189, 1125, 1561, 10023, 4796, 20576, 1125, 7762, 5305, 1408, 1189, 28572, 1157, 1109, 1856, 15231, 12589, 6450, 7441, 4511, 8826, 5305, 1527, 22914, 2240, 1909, 6393, 1125, 2435, 12166, 1318, 8671, 2620, 1186, 6441, 1197, 3285, 1167, 1186, 2894, 1199, 1158, 13624, 1227, 31929, 1768, 1110, 1318, 6291, 5445, 1242, 16940, 8889, 119, 1167, 2750, 4593, 2879, 1125, 1170, 242, 7816, 1527, 10809, 1469, 1594, 3151, 24223, 1173, 4234, 2049, 2893, 9598, 1768, 10809, 6349, 1469, 1248, 1916, 1199, 1167, 1170, 28111, 22480, 9522, 18003, 121, 106, 106, 151, 13293, 25121, 26194, 1110, 24385, 5305, 1594, 9159, 6834, 1188, 1318, 10656, 2134, 3274, 2861, 10847, 1189, 10907, 11682, 26827, 1228, 1379, 1115, 5236, 13479, 1523, 1167, 1527, 27535, 10623, 3550, 1105, 1170, 488, 124, 125, 2578, 488, 124, 132, 130, 131, 121, 7823, 1125, 1594, 1317, 1974, 1256, 12111, 1548, 1228, 4748, 1527, 10809, 1158, 15038, 1254, 1707, 6266, 1125, 1545, 1109, 1200, 14451, 2305, 12427, 1170, 10844, 2038, 1227, 3274, 25121, 11598, 3301, 1964, 1594, 1110, 1913, 12226, 24908, 1906, 6005, 121, 1653, 488, 124, 132, 130, 132, 119, 1527, 11051, 1767, 5425, 12057, 1186, 2076, 2658, 1309, 1207, 2905, 4634, 1227, 3274, 11051, 1396, 1129, 2770, 7371, 5596, 1256, 1281, 1892, 14863, 1300, 1561, 9245, 4501, 5907, 1653, 31540, 3342, 4256, 1158, 3453, 3247, 1125, 5950, 3818, 1306, 1193, 1124, 1317, 1306, 6381, 1201, 30017, 1350, 1208, 1105, 6574, 1414, 1312, 1496, 1167, 1186, 2822, 3243, 14405, 119, 3342, 4256, 4421, 1283, 2450, 122, 10178, 121, 1548, 488, 125, 127, 2829, 488, 124, 132, 131, 123, 119, 1170, 3274, 5016, 1594, 3151, 26676, 2502, 18910, 1135, 15652, 119, 7508, 1125, 3203, 22850, 106, 106, 2606, 488, 126, 124, 2584, 488, 124, 132, 131, 127, 119, 3042, 1309, 25121, 26194, 13686, 1561, 3934, 193, 1567, 5639, 1125, 3676, 1319, 2006, 1256, 7970, 1131, 12092, 1158, 29905, 14179, 10027, 3523, 1909, 23309, 1527, 16636, 1125, 26748, 1318, 2068, 7602, 11188, 2181, 1248, 2610, 1199, 1188, 3828, 1152, 3077, 5650, 1527, 7171, 1170, 5136, 1125, 1561, 1947, 193, 16156, 1357, 1844, 3171, 1111, 1767, 9484, 10095, 17594, 1382, 10499, 244, 1561, 20450, 1125, 22834, 1527, 1299, 1253, 1668, 244, 1125, 1158, 4715, 7471, 6218, 16021, 8632, 1299, 1400, 1154, 3134, 1188, 1158, 10240, 1125, 10399, 1334, 6204, 23688, 1207, 8758, 1197, 19226, 1256, 2435, 6313, 1594, 2167, 4277, 4903, 177, 2365, 4047, 176, 1188, 1318, 3643, 1675, 1481, 2392, 106, 106, 216, 1594, 2511, 2627, 1124, 1150, 2433, 1207, 1279, 22765, 9715, 1125, 12111, 1548, 1228, 1379, 2004, 1844, 6714, 1125, 1282, 20246, 18973, 23826, 26320, 2914, 1945, 1370, 1300, 6815, 1673, 1222, 1857, 1167, 12199, 3511, 1119, 9236, 488, 106, 106, 18263, 9306, 10907, 1836, 1125, 20162, 2722, 2086, 14760, 7507, 119, 16930, 3713, 25507, 1167, 1283, 1535, 18322, 1160, 1188, 25121, 7542, 1561, 1191, 1613, 8722, 7190, 4651, 1805, 2154, 119, 2750, 1197, 4898, 1125, 4582, 4986, 1125, 1191, 15244, 1318, 18973, 3473, 3130, 1217, 6478, 7165, 6982, 3171, 3081, 7655, 3342, 14164, 29876, 1318, 18973, 4491, 15937, 3450, 5332, 1189, 4367, 1125, 9304, 1132, 4280, 1440, 1357, 2856, 1188, 25121, 26194, 1125, 9571, 1408, 1362, 2864, 1226, 3378, 1856, 1440, 2914, 14857, 22645, 1342, 2851, 18615, 6952, 31086, 1318, 5076, 2205, 1465, 21125, 1214, 1317, 9912, 3335, 24047, 1161, 10313, 1186, 488, 124, 132, 131, 129, 121, 1653, 488, 124, 132, 131, 130, 119, 1170, 3274, 31020, 1594, 16934, 26676, 1306, 1591, 1213, 4741, 1357, 1281, 9516, 1188, 488, 488, 125, 123, 5743, 1125, 5235, 6099, 1768, 13300, 6349, 1571, 4593, 23371, 10088, 1227, 3274, 121, 106, 106, 2101, 15129, 17622, 488, 106, 8673, 3365, 2551, 1370, 1382, 1913, 2180, 175, 4355, 26194, 1110, 1736, 1416, 1687, 1158, 11350, 1594, 2335, 4284, 29892, 14693, 1125, 488, 124, 132, 132, 131, 12688, 3261, 1804, 119, 14045, 1125, 9867, 1657, 106, 1653, 2738, 1167, 2798, 488, 125, 123, 123, 128, 119, 1527, 13300, 1188, 2069, 26161, 1227, 8713, 1204, 3067, 9719, 119, 20304, 1227, 17913, 2038, 8713, 5174, 1494, 1279, 4853, 3394, 1124, 1174, 2036, 106, 26194, 1110, 2445, 13644, 1469, 1561, 4875, 8216, 4414, 106, 106, 161, 1214, 11069, 488, 106, 2606, 488, 124, 123, 2822, 488, 125, 123, 123, 126, 119, 25121, 26194, 16722, 8216, 1108, 3335, 1150, 1965, 1736, 20447, 7886, 1125, 1248, 16057, 7238, 1255, 8669, 2071, 1189, 20636, 2131, 5227, 9601, 1215, 25121, 26194, 1188, 4732, 1456, 4353, 1256, 7532, 1154, 2104, 1207, 4661, 29816, 7928, 1188, 7650, 2770, 8014, 193, 1457, 1768, 1110, 1318, 5921, 119, 8216, 1108, 2460, 2988, 26194, 4419, 1303, 1170, 488, 125, 126, 3141, 488, 124, 132, 132, 130, 1496, 2134, 11468, 11546, 1469, 1753, 4676, 31250, 3454, 4414, 106, 106, 147, 2508, 1741, 488, 106, 25121, 26194, 1110, 8217, 1170, 11863, 26391, 10812, 1170, 488, 129, 2829, 488, 125, 123, 125, 125, 121, 106, 106, 20634, 1167, 5474, 106, 106, 28870, 5825, 488, 106, 117, 16604, 1836, 9400, 1125, 7804, 106, 117, 16604, 1836, 1125, 4348, 7804, 106, 117, 1266, 3400, 1186, 2578, 488, 124, 132, 129, 126, 106, 117, 1266, 3400, 1313, 1170, 14214, 173, 1591, 25907, 106, 117, 16604, 1836, 1125, 2478, 1174, 13650, 106, 117, 1922, 10577, 11810, 244, 106, 117, 31128, 1125, 12111, 1548, 1228, 1379, 32001, 488, 106, 32000, 20036, 106, 157, 31326, 4172, 12183, 2691, 3454, 2765, 5388, 1296, 25121, 3454, 2765, 1239, 1110, 9324, 4242, 31576, 9204, 1238, 7286, 488, 124, 119, 488, 124, 132, 129, 126, 1147, 1222, 2548, 29352, 14214, 173, 1591, 179, 6785, 12689, 121, 2133, 1602, 2023, 1135, 4242, 31576, 1226, 1135, 6806, 12111, 1548, 1228, 1379, 3976, 488, 124, 132, 130, 131, 121, 2502, 7262, 488, 126, 124, 119, 488, 124, 132, 131, 127, 119, 1386, 8720, 1765, 3936, 6133, 1147, 1110, 1734, 9732, 121, 6067, 1386, 12702, 1765, 9932, 1449, 9096, 1324, 2155, 1704, 6133, 1171, 1765, 13654, 1238, 1110, 4669, 1269, 8794, 4242, 1255, 1498, 5210, 106, 106, 141, 180, 11114, 106, 157, 2057, 26194, 5970, 9096, 4242, 11448, 1324, 1765, 10886, 1361, 17222, 9225, 1462, 2312, 1355, 1135, 7227, 1161, 5992, 119, 4957, 1324, 1110, 28572, 1157, 1314, 1226, 7119, 15231, 2331, 10062, 3743, 1135, 7227, 1161, 1111, 2765, 1386, 22914, 24554, 1765, 6393, 1163, 5850, 2667, 1110, 4242, 1255, 1498, 6634, 7033, 26969, 1171, 20531, 6681, 1161, 1135, 4126, 121, 2133, 2055, 1151, 12382, 10888, 6291, 5445, 1242, 1498, 6634, 1171, 2470, 4593, 6528, 1161, 23730, 1285, 1386, 9273, 1324, 1765, 1940, 6806, 119, 1173, 4234, 2049, 2893, 9598, 2133, 2491, 9273, 1324, 1248, 1916, 1199, 1171, 1135, 28111, 22480, 9522, 18003, 121, 106, 106, 9916, 25121, 26194, 1463, 13478, 1148, 2765, 1765, 11432, 10679, 1156, 1163, 1151, 1464, 1446, 1110, 6806, 5752, 1226, 1110, 4242, 25322, 1659, 26827, 1228, 1379, 1115, 5236, 13479, 1523, 1171, 1386, 17155, 10623, 3550, 1105, 1238, 7286, 488, 124, 125, 119, 488, 124, 132, 130, 131, 121, 14113, 1765, 1317, 1974, 1226, 12111, 1548, 1228, 4748, 1386, 9273, 1135, 6537, 1254, 1707, 6266, 1449, 1545, 1109, 1200, 14451, 2305, 14865, 1163, 1135, 6806, 1361, 10844, 1267, 25121, 11598, 3301, 1789, 6329, 12226, 1269, 4709, 193, 3078, 1459, 488, 124, 132, 130, 132, 119, 1386, 21585, 1656, 1161, 24022, 4957, 1324, 1135, 2017, 6806, 5641, 1179, 9596, 1789, 4406, 1285, 1163, 5697, 1238, 1765, 4501, 3660, 1657, 1459, 6158, 22661, 1799, 13032, 1226, 5950, 3818, 1306, 1193, 1124, 1355, 1135, 1306, 6381, 1201, 30017, 1350, 1208, 1105, 1147, 24349, 1171, 1147, 7357, 6488, 1841, 22661, 1799, 13032, 1226, 9687, 122, 10178, 121, 2502, 5696, 488, 125, 127, 119, 488, 124, 132, 131, 123, 119, 1135, 6806, 9578, 1789, 1940, 26676, 2502, 18910, 1135, 15652, 119, 11179, 1449, 3337, 16286, 106, 106, 3466, 7262, 488, 126, 124, 119, 488, 124, 132, 131, 127, 119, 2884, 15289, 1765, 3934, 193, 1567, 6289, 3676, 1319, 2006, 1163, 22884, 2482, 9574, 1361, 1254, 1196, 1324, 1765, 23309, 25121, 26194, 10769, 1163, 2060, 191, 2187, 1151, 2068, 7602, 11188, 2181, 1222, 11691, 1355, 2533, 4127, 2754, 1386, 8720, 4447, 1161, 1765, 3934, 193, 16156, 1758, 1708, 183, 2128, 2060, 5057, 22409, 6457, 22155, 1765, 17556, 16495, 3378, 1386, 1463, 1184, 13876, 1446, 1135, 1734, 121, 7013, 3936, 6133, 1463, 4440, 1156, 1355, 1135, 2389, 1657, 25058, 8758, 1449, 28357, 1163, 5591, 1765, 1400, 5862, 19062, 13273, 1123, 1589, 1110, 6405, 1675, 1481, 2392, 106, 106, 3138, 1765, 20108, 6234, 12111, 1548, 1228, 1379, 1361, 6459, 24972, 6714, 1589, 1135, 4006, 23826, 26320, 4242, 1255, 16607, 1386, 2629, 1238, 6815, 1673, 1222, 1857, 1171, 12199, 3511, 1119, 9236, 106, 106, 4499, 1107, 20162, 2722, 186, 4242, 31576, 14760, 7507, 6166, 1110, 4238, 1161, 2661, 1171, 12708, 1160, 1163, 25121, 3545, 1765, 19183, 121, 6226, 7456, 1161, 4582, 4986, 1799, 8071, 1163, 3195, 1151, 18055, 3473, 3130, 1217, 4242, 1255, 1498, 5210, 6226, 5057, 9181, 1285, 1799, 5772, 1110, 15794, 4242, 1255, 1498, 5210, 1988, 2629, 1110, 4981, 19742, 1132, 16462, 15776, 25121, 26194, 1163, 2489, 11261, 1596, 1329, 1540, 2090, 119, 1296, 1386, 2876, 25230, 28091, 1110, 10396, 1465, 21125, 1156, 5076, 1355, 1135, 3335, 24047, 1161, 10313, 9912, 1147, 488, 124, 132, 131, 129, 121, 1459, 488, 124, 132, 131, 130, 119, 1135, 6806, 15926, 1789, 12223, 26676, 1306, 1591, 1213, 4741, 1758, 8420, 488, 125, 123, 4750, 5235, 6099, 2133, 6312, 1238, 1163, 19646, 1147, 1135, 6806, 1361, 4593, 23365, 6030, 1297, 106, 106, 158, 14201, 10615, 106, 3681, 6434, 1386, 1463, 1375, 16327, 2580, 119, 26194, 1736, 4817, 9500, 1135, 6329, 13450, 1226, 1110, 488, 124, 132, 132, 131, 14693, 5355, 10361, 4494, 3261, 1804, 121, 106, 106, 1428, 4151, 1171, 6384, 488, 125, 123, 123, 128, 119, 1386, 12742, 1147, 2197, 26161, 1324, 1135, 8713, 1204, 3067, 9719, 119, 26939, 2295, 1449, 17913, 1267, 8713, 5174, 10366, 106, 106, 5217, 1108, 1602, 1959, 26482, 4501, 1324, 1765, 14032, 8216, 4414, 106, 106, 155, 26981, 3901, 106, 3466, 7357, 488, 124, 123, 119, 488, 125, 123, 123, 126, 119, 25121, 26194, 17080, 8216, 1108, 3335, 1150, 1965, 1736, 2874, 14972, 1161, 1135, 1248, 16057, 7238, 1255, 8669, 2071, 1110, 2131, 5227, 9921, 5772, 1449, 25121, 26194, 1147, 4732, 1456, 192, 1163, 12708, 2670, 187, 2486, 1399, 5569, 4851, 1163, 9723, 1789, 11146, 1297, 2133, 1602, 1110, 1106, 8588, 5661, 8216, 1108, 2460, 2988, 26194, 6256, 2589, 7871, 488, 125, 126, 119, 488, 124, 132, 132, 130, 1496, 1446, 1110, 5727, 21493, 1163, 1753, 4676, 31250, 3454, 4414, 106, 106, 147, 1105, 1500, 106, 157, 2057, 26194, 6971, 1135, 11863, 26391, 10812, 1238, 5696, 488, 129, 119, 488, 125, 123, 125, 125, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 157, 31326, 4172, 12183, 2691, 3454, 2765, 5388, 1296, 25121, 3454, 2765, 1239, 1110, 9324, 4242, 31576, 9204, 1238, 7286, 488, 124, 119, 488, 124, 132, 129, 126, 1147, 1222, 2548, 29352, 14214, 173, 1591, 179, 6785, 12689, 121, 2133, 1602, 2023, 1135, 4242, 31576, 1226, 1135, 6806, 12111, 1548, 1228, 1379, 3976, 488, 124, 132, 130, 131, 121, 2502, 7262, 488, 126, 124, 119, 488, 124, 132, 131, 127, 119, 1386, 8720, 1765, 3936, 6133, 1147, 1110, 1734, 9732, 121, 6067, 1386, 12702, 1765, 9932, 1449, 9096, 1324, 2155, 1704, 6133, 1171, 1765, 13654, 1238, 1110, 4669, 1269, 8794, 4242, 1255, 1498, 5210, 106, 106, 141, 180, 11114, 106, 157, 2057, 26194, 5970, 9096, 4242, 11448, 1324, 1765, 10886, 1361, 17222, 9225, 1462, 2312, 1355, 1135, 7227, 1161, 5992, 119, 4957, 1324, 1110, 28572, 1157, 1314, 1226, 7119, 15231, 2331, 10062, 3743, 1135, 7227, 1161, 1111, 2765, 1386, 22914, 24554, 1765, 6393, 1163, 5850, 2667, 1110, 4242, 1255, 1498, 6634, 7033, 26969, 1171, 20531, 6681, 1161, 1135, 4126, 121, 2133, 2055, 1151, 12382, 10888, 6291, 5445, 1242, 1498, 6634, 1171, 2470, 4593, 6528, 1161, 23730, 1285, 1386, 9273, 1324, 1765, 1940, 6806, 119, 1173, 4234, 2049, 2893, 9598, 2133, 2491, 9273, 1324, 1248, 1916, 1199, 1171, 1135, 28111, 22480, 9522, 18003, 121, 106, 106, 9916, 25121, 26194, 1463, 13478, 1148, 2765, 1765, 11432, 10679, 1156, 1163, 1151, 1464, 1446, 1110, 6806, 5752, 1226, 1110, 4242, 25322, 1659, 26827, 1228, 1379, 1115, 5236, 13479, 1523, 1171, 1386, 17155, 10623, 3550, 1105, 1238, 7286, 488, 124, 125, 119, 488, 124, 132, 130, 131, 121, 14113, 1765, 1317, 1974, 1226, 12111, 1548, 1228, 4748, 1386, 9273, 1135, 6537, 1254, 1707, 6266, 1449, 1545, 1109, 1200, 14451, 2305, 14865, 1163, 1135, 6806, 1361, 10844, 1267, 25121, 11598, 3301, 1789, 6329, 12226, 1269, 4709, 193, 3078, 1459, 488, 124, 132, 130, 132, 119, 1386, 21585, 1656, 1161, 24022, 4957, 1324, 1135, 2017, 6806, 5641, 1179, 9596, 1789, 4406, 1285, 1163, 5697, 1238, 1765, 4501, 3660, 1657, 1459, 6158, 22661, 1799, 13032, 1226, 5950, 3818, 1306, 1193, 1124, 1355, 1135, 1306, 6381, 1201, 30017, 1350, 1208, 1105, 1147, 24349, 1171, 1147, 7357, 6488, 1841, 22661, 1799, 13032, 1226, 9687, 122, 10178, 121, 2502, 5696, 488, 125, 127, 119, 488, 124, 132, 131, 123, 119, 1135, 6806, 9578, 1789, 1940, 26676, 2502, 18910, 1135, 15652, 119, 11179, 1449, 3337, 16286, 106, 106, 3466, 7262, 488, 126, 124, 119, 488, 124, 132, 131, 127, 119, 2884, 15289, 1765, 3934, 193, 1567, 6289, 3676, 1319, 2006, 1163, 22884, 2482, 9574, 1361, 1254, 1196, 1324, 1765, 23309, 25121, 26194, 10769, 1163, 2060, 191, 2187, 1151, 2068, 7602, 11188, 2181, 1222, 11691, 1355, 2533, 4127, 2754, 1386, 8720, 4447, 1161, 1765, 3934, 193, 16156, 1758, 1708, 183, 2128, 2060, 5057, 22409, 6457, 22155, 1765, 17556, 16495, 3378, 1386, 1463, 1184, 13876, 1446, 1135, 1734, 121, 7013, 3936, 6133, 1463, 4440, 1156, 1355, 1135, 2389, 1657, 25058, 8758, 1449, 28357, 1163, 5591, 1765, 1400, 5862, 19062, 13273, 1123, 1589, 1110, 6405, 1675, 1481, 2392, 106, 106, 3138, 1765, 20108, 6234, 12111, 1548, 1228, 1379, 1361, 6459, 24972, 6714, 1589, 1135, 4006, 23826, 26320, 4242, 1255, 16607, 1386, 2629, 1238, 6815, 1673, 1222, 1857, 1171, 12199, 3511, 1119, 9236, 106, 106, 4499, 1107, 20162, 2722, 186, 4242, 31576, 14760, 7507, 6166, 1110, 4238, 1161, 2661, 1171, 12708, 1160, 1163, 25121, 3545, 1765, 19183, 121, 6226, 7456, 1161, 4582, 4986, 1799, 8071, 1163, 3195, 1151, 18055, 3473, 3130, 1217, 4242, 1255, 1498, 5210, 6226, 5057, 9181, 1285, 1799, 5772, 1110, 15794, 4242, 1255, 1498, 5210, 1988, 2629, 1110, 4981, 19742, 1132, 16462, 15776, 25121, 26194, 1163, 2489, 11261, 1596, 1329, 1540, 2090, 119, 1296, 1386, 2876, 25230, 28091, 1110, 10396, 1465, 21125, 1156, 5076, 1355, 1135, 3335, 24047, 1161, 10313, 9912, 1147, 488, 124, 132, 131, 129, 121, 1459, 488, 124, 132, 131, 130, 119, 1135, 6806, 15926, 1789, 12223, 26676, 1306, 1591, 1213, 4741, 1758, 8420, 488, 125, 123, 4750, 5235, 6099, 2133, 6312, 1238, 1163, 19646, 1147, 1135, 6806, 1361, 4593, 23365, 6030, 1297, 106, 106, 158, 14201, 10615, 106, 3681, 6434, 1386, 1463, 1375, 16327, 2580, 119, 26194, 1736, 4817, 9500, 1135, 6329, 13450, 1226, 1110, 488, 124, 132, 132, 131, 14693, 5355, 10361, 4494, 3261, 1804, 121, 106, 106, 1428, 4151, 1171, 6384, 488, 125, 123, 123, 128, 119, 1386, 12742, 1147, 2197, 26161, 1324, 1135, 8713, 1204, 3067, 9719, 119, 26939, 2295, 1449, 17913, 1267, 8713, 5174, 10366, 106, 106, 5217, 1108, 1602, 1959, 26482, 4501, 1324, 1765, 14032, 8216, 4414, 106, 106, 155, 26981, 3901, 106, 3466, 7357, 488, 124, 123, 119, 488, 125, 123, 123, 126, 119, 25121, 26194, 17080, 8216, 1108, 3335, 1150, 1965, 1736, 2874, 14972, 1161, 1135, 1248, 16057, 7238, 1255, 8669, 2071, 1110, 2131, 5227, 9921, 5772, 1449, 25121, 26194, 1147, 4732, 1456, 192, 1163, 12708, 2670, 187, 2486, 1399, 5569, 4851, 1163, 9723, 1789, 11146, 1297, 2133, 1602, 1110, 1106, 8588, 5661, 8216, 1108, 2460, 2988, 26194, 6256, 2589, 7871, 488, 125, 126, 119, 488, 124, 132, 132, 130, 1496, 1446, 1110, 5727, 21493, 1163, 1753, 4676, 31250, 3454, 4414, 106, 106, 147, 1105, 1500, 106, 157, 2057, 26194, 6971, 1135, 11863, 26391, 10812, 1238, 5696, 488, 129, 119, 488, 125, 123, 125, 125, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 114, 145, 1580, 10397, 114, 1239, 1110, 3935, 26482, 1449, 1135, 4950, 3496, 2957, 1222, 124, 125, 119, 6762, 1446, 1135, 6030, 13612, 1142, 1361, 15652, 9578, 1147, 488, 125, 123, 123, 124, 121, 1951, 7769, 1449, 9595, 1222, 1112, 1171, 16423, 1753, 1121, 16080, 1341, 1239, 1135, 12223, 3935, 6762, 1446, 13612, 1142, 1361, 15652, 121, 1410, 6537, 1239, 8917, 1449, 6489, 1201, 174, 2249, 22628, 1171, 2460, 11295, 17084, 1285, 1110, 6009, 20883, 1449, 4633, 1314, 184, 1171, 5612, 9519, 1108, 1620, 3296, 1410, 6537, 1463, 22742, 4704, 9753, 119, 7426, 1147, 1135, 9324, 3122, 1328, 11555, 1126, 31035, 1147, 1135, 7612, 1171, 4593, 1148, 15803, 1147, 16194, 1576, 1410, 6537, 1239, 19802, 1147, 1135, 6329, 13450, 1161, 1135, 31707, 3418, 9719, 2271, 121, 106, 106, 152, 19486, 6144, 106, 1598, 10220, 1161, 1135, 6144, 1239, 27919, 17818, 1449, 1135, 10361, 1410, 6832, 10334, 1297, 1248, 13302, 30546, 7224, 3512, 2026, 1147, 1135, 10220, 1161, 1135, 6144, 1171, 21402, 6974, 1446, 1135, 3418, 6027, 1119, 1421, 4065, 8814, 1171, 6027, 1119, 1421, 4227, 22344, 4095, 1410, 6144, 6547, 5624, 2339, 1446, 4950, 4086, 1201, 1252, 1128, 14281, 1171, 4032, 1214, 2168, 30263, 13440, 1324, 21492, 1629, 1202, 1292, 1285, 1970, 1393, 2197, 4501, 4231, 8318, 5182, 13431, 1462, 4361, 1171, 4129, 16665, 3062, 1226, 4950, 16140, 2468, 1543, 17964, 26695, 190, 1161, 1135, 6537, 1393, 17155, 1171, 1957, 5521, 1393, 1959, 12652, 3078, 16312, 12046, 1393, 3969, 1238, 1135, 6144, 7544, 1352, 144, 10927, 121, 1410, 6144, 1463, 1921, 1641, 3418, 1156, 1238, 1165, 4916, 9641, 1147, 1135, 1138, 1121, 2582, 1161, 17676, 1269, 6037, 2482, 4524, 121, 106, 106, 16053, 27989, 106, 31023, 8175, 3935, 3451, 106, 109, 145, 1580, 10397, 109, 6396, 121, 15155, 119, 9941, 1202, 4448, 119, 9941, 8125, 11205, 3341, 8220, 2563, 1350, 121, 8719, 8796, 6427, 4172, 14720, 21229, 15243, 1120, 1126, 116, 1323, 488, 127, 133, 128, 131, 106, 109, 145, 1112, 1182, 2847, 109, 4698, 121, 8220, 2563, 6427, 4172, 14720, 9941, 1202, 4448, 116, 1323, 488, 126, 133, 127, 126, 106, 109, 162, 8799, 9146, 1997, 1301, 1376, 109, 6396, 121, 15155, 119, 9941, 8125, 11205, 3341, 8220, 2563, 1350, 121, 8719, 8796, 1252, 4876, 17201, 1252, 2643, 116, 1323, 488, 128, 133, 123, 127, 106, 109, 145, 1580, 10397, 109, 6047, 3946, 23145, 1165, 1178, 16464, 116, 1323, 488, 126, 133, 128, 131, 106, 106, 144, 7289, 1119, 8175, 3935, 3451, 106, 109, 145, 1580, 10397, 109, 6700, 1217, 2504, 14005, 116, 1323, 488, 126, 133, 127, 132, 106, 109, 145, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 109, 145, 1580, 10397, 109, 4698, 19486, 16464, 116, 1323, 488, 127, 133, 125, 125, 106, 106, 144, 7289, 1119, 1171, 16448, 8559, 180, 3935, 3451, 106, 109, 145, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 109, 145, 1580, 10397, 109, 1175, 3742, 1301, 1488, 7972, 1323, 488, 127, 133, 123, 124, 106, 109, 162, 8799, 9146, 1997, 1301, 1376, 109, 1323, 488, 127, 133, 126, 131, 106, 109, 145, 1580, 10397, 109, 26083, 2835, 2070, 1132, 116, 1323, 488, 127, 133, 125, 127, 106, 109, 145, 1580, 10397, 109, 4698, 19486, 16464, 116, 1323, 488, 127, 133, 124, 132, 106, 106, 140, 16609, 488, 124, 125, 109, 10836, 3340, 3451, 106, 109, 145, 1580, 10397, 109, 3835, 12127, 10671, 116, 1323, 488, 126, 133, 127, 132, 106, 109, 145, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 109, 145, 1580, 10397, 109, 26083, 2835, 2070, 1132, 116, 1323, 488, 127, 133, 125, 127, 106, 109, 145, 1580, 10397, 109, 1175, 3742, 1301, 1488, 7972, 1323, 488, 127, 133, 123, 124, 106, 106, 31023, 488, 124, 125, 109, 10836, 3340, 1171, 14818, 1567, 3451, 106, 109, 145, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 109, 145, 1112, 1182, 2847, 109, 1323, 488, 126, 133, 127, 126, 106, 109, 162, 8799, 9146, 1997, 1301, 1376, 109, 1323, 488, 128, 133, 123, 127, 106, 106, 31023, 17557, 3935, 3451, 106, 109, 145, 1580, 10397, 109, 6047, 3946, 23145, 1165, 1178, 16464, 116, 1323, 488, 126, 133, 128, 131, 106, 109, 145, 1647, 23401, 1165, 26347, 109, 1323, 488, 126, 133, 123, 126, 106, 109, 4506, 1123, 2502, 2631, 109, 4698, 19486, 16464, 116, 1323, 488, 128, 133, 124, 127, 106, 109, 162, 8799, 9146, 1997, 1301, 1376, 109, 6396, 12750, 116, 1323, 488, 127, 133, 126, 130, 106, 106, 2330, 8752, 106, 106, 1891, 9520, 106, 106, 21320, 1959, 106, 143, 124, 125, 106, 15226, 1314, 184, 106, 2101, 2469, 106, 141, 1493, 16652, 106, 150, 1145, 29773, 106, 25697, 1221, 1433, 5260, 161, 1242, 106, 150, 1105, 1922, 2011, 106, 22555, 1142, 1361, 15652, 106, 106, 26722, 14520, 106, 7089, 11076, 1222, 124, 125, 4877, 106, 151, 196, 1766, 190, 1163, 1135, 6537, 106, 106, 125, 123, 123, 125, 3237, 1328, 106, 158, 1510, 190, 12742, 1449, 1222, 124, 125, 106, 158, 1510, 190, 6794, 1449, 4633, 1314, 184, 106, 158, 1510, 190, 6794, 1449, 14222, 1254, 8948, 1414, 186, 106, 158, 1149, 1328, 29466, 10435, 1449, 1135, 4597, 8756, 27080, 9756, 1161, 10123, 106, 158, 1149, 1328, 29466, 23088, 1449, 1135, 9324, 2708, 1105, 16027, 27080, 114, 32001, 488, 106, 32000, 20036, 106, 145, 1580, 10397, 1299, 1189, 3935, 13644, 1215, 1170, 3274, 1125, 3496, 8403, 1222, 124, 125, 119, 25333, 1125, 26903, 13612, 1142, 1361, 15652, 5514, 4160, 1186, 488, 125, 123, 123, 124, 121, 1951, 8976, 1215, 9595, 1222, 1112, 1167, 16423, 1753, 1121, 16080, 2399, 10845, 1170, 16934, 3935, 26883, 1125, 13612, 1142, 1361, 15652, 121, 1643, 15038, 1299, 5858, 1303, 1215, 6489, 1201, 174, 2249, 22628, 1167, 2460, 11295, 17084, 1285, 6009, 15974, 1215, 4633, 1314, 184, 1167, 5612, 9519, 1108, 1620, 3296, 1643, 15038, 1110, 26266, 1189, 4093, 9672, 3747, 1313, 1207, 28836, 1233, 9388, 2097, 1175, 24798, 3555, 1317, 21144, 1167, 1281, 1493, 3555, 1186, 1209, 21511, 1576, 1643, 15038, 1299, 5004, 1313, 1158, 11350, 17482, 1125, 1158, 30882, 26207, 2271, 121, 106, 106, 142, 6448, 6327, 106, 2606, 4319, 1227, 20095, 1299, 14336, 29721, 1227, 3418, 1808, 10447, 11536, 1125, 1158, 7005, 121, 1548, 4086, 1929, 30546, 7224, 13300, 1317, 4319, 1227, 20095, 1167, 20861, 1207, 29944, 1227, 3418, 3288, 1421, 4065, 138, 1167, 3288, 1421, 4227, 22344, 121, 1548, 20095, 9016, 1207, 1465, 1662, 1420, 1125, 2069, 4086, 6397, 8403, 1285, 1252, 1128, 14281, 1167, 4032, 1214, 2168, 30263, 1768, 6917, 119, 1856, 1256, 21492, 1629, 1202, 1292, 1285, 2069, 3115, 1484, 4221, 8318, 1814, 3151, 2081, 14951, 12228, 1167, 1189, 2423, 9562, 1188, 2435, 17934, 1571, 8743, 5629, 5263, 2915, 2585, 2962, 1207, 25229, 14952, 3077, 1125, 1158, 15038, 1508, 8088, 1473, 1167, 2585, 3458, 5521, 1508, 2445, 8088, 6002, 1808, 2069, 12046, 1508, 14931, 1300, 1158, 11120, 6327, 1352, 144, 10927, 121, 1548, 20095, 9363, 1186, 18140, 1913, 30720, 1300, 1165, 4916, 9641, 1313, 1170, 1138, 1121, 2582, 1125, 17676, 1269, 6037, 1188, 2482, 4524, 121, 106, 106, 151, 2038, 1197, 23664, 106, 12396, 3935, 3451, 14898, 106, 8397, 1580, 10397, 109, 6396, 121, 15155, 119, 9941, 1202, 4448, 119, 9941, 8125, 11205, 3341, 8220, 2563, 1350, 121, 8719, 8796, 6427, 4172, 14720, 21229, 15243, 1120, 1126, 116, 1323, 488, 127, 133, 128, 131, 106, 8397, 1112, 1182, 2847, 109, 4698, 121, 8220, 2563, 6427, 4172, 14720, 9941, 1202, 4448, 116, 1323, 488, 126, 133, 127, 126, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 6396, 121, 15155, 119, 9941, 8125, 11205, 3341, 8220, 2563, 1350, 121, 8719, 8796, 1252, 4876, 17201, 1252, 2643, 116, 1323, 488, 128, 133, 123, 127, 106, 8397, 1580, 10397, 109, 6047, 3946, 23145, 1165, 1178, 16464, 116, 1323, 488, 126, 133, 128, 131, 106, 106, 12396, 3935, 3451, 6923, 106, 8397, 1580, 10397, 109, 6700, 1217, 2504, 14005, 116, 1323, 488, 126, 133, 127, 132, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1580, 10397, 109, 4698, 19486, 16464, 116, 1323, 488, 127, 133, 125, 125, 106, 106, 10492, 180, 3935, 3451, 6923, 1167, 26859, 3556, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1580, 10397, 109, 1175, 3742, 1301, 1488, 7972, 1323, 488, 127, 133, 123, 124, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 1323, 488, 127, 133, 126, 131, 106, 8397, 1580, 10397, 109, 26083, 2835, 2070, 1132, 116, 1323, 488, 127, 133, 125, 127, 106, 8397, 1580, 10397, 109, 4698, 19486, 16464, 116, 1323, 488, 127, 133, 124, 132, 106, 106, 124, 125, 109, 10836, 3340, 3451, 13900, 106, 8397, 1580, 10397, 109, 3835, 12127, 10671, 116, 1323, 488, 126, 133, 127, 132, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1580, 10397, 109, 26083, 2835, 2070, 1132, 116, 1323, 488, 127, 133, 125, 127, 106, 8397, 1580, 10397, 109, 1175, 3742, 1301, 1488, 7972, 1323, 488, 127, 133, 123, 124, 106, 106, 124, 125, 109, 10836, 3340, 1171, 14818, 1567, 3451, 14898, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1112, 1182, 2847, 109, 1323, 488, 126, 133, 127, 126, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 1323, 488, 128, 133, 123, 127, 106, 106, 143, 12602, 3935, 3451, 14898, 106, 8397, 1580, 10397, 109, 6047, 3946, 23145, 1165, 1178, 16464, 116, 1323, 488, 126, 133, 128, 131, 106, 8397, 1647, 23401, 1165, 26347, 109, 1323, 488, 126, 133, 123, 126, 106, 1235, 4506, 1123, 2502, 2631, 109, 4698, 19486, 16464, 116, 1323, 488, 128, 133, 124, 127, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 6396, 12750, 116, 1323, 488, 127, 133, 126, 130, 106, 106, 2809, 2139, 1525, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 143, 124, 125, 106, 15226, 1314, 184, 106, 2101, 2469, 106, 141, 1493, 16652, 106, 150, 1145, 29773, 106, 25697, 1221, 1433, 5260, 161, 1242, 106, 150, 1105, 1922, 2011, 106, 22555, 1142, 1361, 15652, 106, 106, 28870, 5825, 106, 27566, 9229, 1125, 1222, 124, 125, 106, 2951, 4042, 1125, 1158, 15038, 106, 106, 27807, 10709, 9665, 1186, 488, 125, 123, 123, 125, 106, 2330, 30181, 11925, 27433, 1215, 1222, 124, 125, 106, 2330, 30181, 17989, 1215, 4633, 1314, 184, 106, 2330, 30181, 17989, 1215, 14222, 1254, 8948, 1414, 186, 106, 27807, 9053, 1215, 6489, 1201, 174, 2249, 22628, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 145, 1580, 10397, 1299, 1189, 3935, 13644, 1215, 1170, 3274, 1125, 3496, 8403, 1222, 124, 125, 119, 25333, 1125, 26903, 13612, 1142, 1361, 15652, 5514, 4160, 1186, 488, 125, 123, 123, 124, 121, 1951, 8976, 1215, 9595, 1222, 1112, 1167, 16423, 1753, 1121, 16080, 2399, 10845, 1170, 16934, 3935, 26883, 1125, 13612, 1142, 1361, 15652, 121, 1643, 15038, 1299, 5858, 1303, 1215, 6489, 1201, 174, 2249, 22628, 1167, 2460, 11295, 17084, 1285, 6009, 15974, 1215, 4633, 1314, 184, 1167, 5612, 9519, 1108, 1620, 3296, 1643, 15038, 1110, 26266, 1189, 4093, 9672, 3747, 1313, 1207, 28836, 1233, 9388, 2097, 1175, 24798, 3555, 1317, 21144, 1167, 1281, 1493, 3555, 1186, 1209, 21511, 1576, 1643, 15038, 1299, 5004, 1313, 1158, 11350, 17482, 1125, 1158, 30882, 26207, 2271, 121, 106, 106, 142, 6448, 6327, 106, 2606, 4319, 1227, 20095, 1299, 14336, 29721, 1227, 3418, 1808, 10447, 11536, 1125, 1158, 7005, 121, 1548, 4086, 1929, 30546, 7224, 13300, 1317, 4319, 1227, 20095, 1167, 20861, 1207, 29944, 1227, 3418, 3288, 1421, 4065, 138, 1167, 3288, 1421, 4227, 22344, 121, 1548, 20095, 9016, 1207, 1465, 1662, 1420, 1125, 2069, 4086, 6397, 8403, 1285, 1252, 1128, 14281, 1167, 4032, 1214, 2168, 30263, 1768, 6917, 119, 1856, 1256, 21492, 1629, 1202, 1292, 1285, 2069, 3115, 1484, 4221, 8318, 1814, 3151, 2081, 14951, 12228, 1167, 1189, 2423, 9562, 1188, 2435, 17934, 1571, 8743, 5629, 5263, 2915, 2585, 2962, 1207, 25229, 14952, 3077, 1125, 1158, 15038, 1508, 8088, 1473, 1167, 2585, 3458, 5521, 1508, 2445, 8088, 6002, 1808, 2069, 12046, 1508, 14931, 1300, 1158, 11120, 6327, 1352, 144, 10927, 121, 1548, 20095, 9363, 1186, 18140, 1913, 30720, 1300, 1165, 4916, 9641, 1313, 1170, 1138, 1121, 2582, 1125, 17676, 1269, 6037, 1188, 2482, 4524, 121, 106, 106, 151, 2038, 1197, 23664, 106, 12396, 3935, 3451, 14898, 106, 8397, 1580, 10397, 109, 6396, 121, 15155, 119, 9941, 1202, 4448, 119, 9941, 8125, 11205, 3341, 8220, 2563, 1350, 121, 8719, 8796, 6427, 4172, 14720, 21229, 15243, 1120, 1126, 116, 1323, 488, 127, 133, 128, 131, 106, 8397, 1112, 1182, 2847, 109, 4698, 121, 8220, 2563, 6427, 4172, 14720, 9941, 1202, 4448, 116, 1323, 488, 126, 133, 127, 126, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 6396, 121, 15155, 119, 9941, 8125, 11205, 3341, 8220, 2563, 1350, 121, 8719, 8796, 1252, 4876, 17201, 1252, 2643, 116, 1323, 488, 128, 133, 123, 127, 106, 8397, 1580, 10397, 109, 6047, 3946, 23145, 1165, 1178, 16464, 116, 1323, 488, 126, 133, 128, 131, 106, 106, 12396, 3935, 3451, 6923, 106, 8397, 1580, 10397, 109, 6700, 1217, 2504, 14005, 116, 1323, 488, 126, 133, 127, 132, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1580, 10397, 109, 4698, 19486, 16464, 116, 1323, 488, 127, 133, 125, 125, 106, 106, 10492, 180, 3935, 3451, 6923, 1167, 26859, 3556, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1580, 10397, 109, 1175, 3742, 1301, 1488, 7972, 1323, 488, 127, 133, 123, 124, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 1323, 488, 127, 133, 126, 131, 106, 8397, 1580, 10397, 109, 26083, 2835, 2070, 1132, 116, 1323, 488, 127, 133, 125, 127, 106, 8397, 1580, 10397, 109, 4698, 19486, 16464, 116, 1323, 488, 127, 133, 124, 132, 106, 106, 124, 125, 109, 10836, 3340, 3451, 13900, 106, 8397, 1580, 10397, 109, 3835, 12127, 10671, 116, 1323, 488, 126, 133, 127, 132, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1580, 10397, 109, 26083, 2835, 2070, 1132, 116, 1323, 488, 127, 133, 125, 127, 106, 8397, 1580, 10397, 109, 1175, 3742, 1301, 1488, 7972, 1323, 488, 127, 133, 123, 124, 106, 106, 124, 125, 109, 10836, 3340, 1171, 14818, 1567, 3451, 14898, 106, 8397, 1580, 10397, 109, 1323, 488, 127, 133, 128, 131, 106, 8397, 1112, 1182, 2847, 109, 1323, 488, 126, 133, 127, 126, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 1323, 488, 128, 133, 123, 127, 106, 106, 143, 12602, 3935, 3451, 14898, 106, 8397, 1580, 10397, 109, 6047, 3946, 23145, 1165, 1178, 16464, 116, 1323, 488, 126, 133, 128, 131, 106, 8397, 1647, 23401, 1165, 26347, 109, 1323, 488, 126, 133, 123, 126, 106, 1235, 4506, 1123, 2502, 2631, 109, 4698, 19486, 16464, 116, 1323, 488, 128, 133, 124, 127, 106, 11033, 8799, 9146, 1997, 1301, 1376, 109, 6396, 12750, 116, 1323, 488, 127, 133, 126, 130, 106, 106, 2809, 2139, 1525, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 106, 143, 124, 125, 106, 15226, 1314, 184, 106, 2101, 2469, 106, 141, 1493, 16652, 106, 150, 1145, 29773, 106, 25697, 1221, 1433, 5260, 161, 1242, 106, 150, 1105, 1922, 2011, 106, 22555, 1142, 1361, 15652, 106, 106, 28870, 5825, 106, 27566, 9229, 1125, 1222, 124, 125, 106, 2951, 4042, 1125, 1158, 15038, 106, 106, 27807, 10709, 9665, 1186, 488, 125, 123, 123, 125, 106, 2330, 30181, 11925, 27433, 1215, 1222, 124, 125, 106, 2330, 30181, 17989, 1215, 4633, 1314, 184, 106, 2330, 30181, 17989, 1215, 14222, 1254, 8948, 1414, 186, 106, 27807, 9053, 1215, 6489, 1201, 174, 2249, 22628, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1299, 1189, 3274, 1125, 7585, 8403, 30530, 1125, 10221, 15486, 3835, 7411, 1214, 1576, 106, 106, 30609, 488, 106, 216, 21839, 2290, 1170, 6009, 6832, 1977, 6375, 1297, 17084, 1285, 1527, 1281, 2513, 7030, 10028, 121, 1248, 3925, 13970, 1215, 1909, 22093, 12182, 12119, 2137, 1714, 12854, 1175, 8149, 9731, 3994, 116, 1167, 1594, 3838, 4071, 1795, 178, 3476, 1527, 1299, 13644, 1125, 3991, 3176, 1867, 162, 6266, 1175, 10847, 1167, 28480, 26830, 116, 1167, 1192, 2082, 172, 1233, 1532, 1824, 19588, 2851, 19604, 1890, 3476, 6912, 22353, 1167, 1106, 1203, 174, 1195, 1107, 1576, 4787, 6305, 6040, 4989, 1346, 1964, 7585, 1299, 20936, 1300, 1197, 1338, 1577, 2645, 2027, 1125, 1282, 13221, 11734, 22044, 1856, 11658, 180, 20818, 26257, 1362, 17469, 1171, 9491, 177, 4876, 3561, 1723, 11102, 1124, 1849, 1667, 2072, 1906, 1188, 4399, 2905, 15642, 4501, 1541, 7706, 1309, 1170, 8882, 5544, 1170, 10888, 2318, 10781, 1170, 1851, 9107, 1170, 22858, 5768, 2064, 1170, 1501, 178, 2258, 1167, 1158, 30882, 4501, 5907, 1548, 1392, 26161, 1508, 27220, 1256, 1823, 8105, 1597, 23805, 1285, 3342, 2004, 5542, 18711, 1167, 18274, 4701, 1197, 6766, 1125, 3591, 1186, 8077, 5430, 237, 1935, 3476, 3101, 15782, 4126, 28299, 1114, 26917, 190, 1362, 19135, 1125, 2172, 1301, 186, 28712, 1120, 13760, 106, 106, 1686, 5495, 2757, 488, 124, 132, 132, 132, 119, 3991, 3176, 1867, 162, 6266, 1167, 1192, 2082, 172, 1233, 1532, 1824, 1281, 1508, 7120, 1473, 1188, 2482, 4524, 1723, 1288, 3080, 7085, 1410, 1222, 1123, 1433, 1233, 6774, 8688, 488, 125, 123, 123, 127, 119, 2750, 10440, 1125, 2770, 8918, 1554, 1207, 1251, 24479, 15319, 6002, 106, 106, 30786, 1170, 3274, 1299, 12675, 9918, 1227, 2511, 1721, 1734, 4593, 1125, 2770, 23070, 15935, 9786, 1313, 1158, 11350, 17482, 1125, 1158, 4726, 23170, 1293, 9599, 1361, 1645, 15320, 196, 1125, 1158, 13168, 13900, 26166, 121, 16884, 1110, 21903, 2985, 2442, 5162, 1856, 2175, 4528, 121, 106, 106, 2524, 1158, 2076, 4418, 119, 1410, 1222, 1123, 1433, 1233, 6774, 19205, 1313, 1170, 1288, 2886, 3555, 15956, 1125, 1158, 16934, 6586, 1125, 1410, 1200, 9327, 121, 9908, 3512, 7085, 1215, 2069, 2768, 1188, 31395, 1125, 9421, 1606, 1202, 21757, 7929, 18349, 1231, 1524, 1125, 1293, 2677, 2673, 8353, 1292, 1121, 1257, 1170, 488, 2757, 20818, 26257, 119, 1313, 1170, 23112, 9494, 1227, 30469, 1167, 1170, 488, 1125, 1158, 2076, 5910, 2757, 6815, 2621, 7129, 11903, 1669, 11081, 1576, 106, 106, 29673, 488, 1317, 1859, 1410, 1222, 1123, 1433, 1233, 6774, 1835, 187, 1164, 2089, 1189, 3543, 1197, 9864, 1188, 1138, 3938, 174, 15163, 1256, 9815, 1158, 9853, 1125, 1964, 2423, 26676, 24553, 9244, 1135, 9218, 17463, 3872, 8113, 1460, 1256, 10994, 11561, 1964, 1721, 1300, 1197, 18711, 7706, 1309, 1158, 17584, 13679, 4528, 1362, 1207, 25364, 1304, 7310, 4654, 9908, 8691, 7085, 10221, 15486, 1188, 2482, 15671, 27826, 1199, 488, 130, 488, 125, 127, 129, 1498, 5784, 106, 106, 1686, 1859, 3991, 3176, 1167, 1192, 2082, 172, 2004, 16752, 1964, 11546, 1186, 7892, 1214, 1215, 1189, 5462, 15367, 1188, 2770, 9887, 1167, 1300, 1964, 4055, 25723, 3136, 121, 106, 106, 22525, 4134, 488, 106, 1410, 1222, 1123, 1433, 1233, 6774, 3835, 18015, 1703, 6832, 1977, 6375, 1297, 22628, 1703, 488, 125, 123, 123, 127, 106, 24553, 9244, 1410, 9218, 2850, 3835, 18015, 1703, 6832, 1977, 6375, 1297, 22628, 1703, 488, 125, 123, 123, 129, 106, 17579, 31842, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 130, 106, 23227, 1248, 1925, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 131, 106, 19043, 190, 1226, 16572, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 132, 106, 1410, 11681, 26507, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 123, 106, 12270, 1200, 1706, 1201, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 124, 106, 1321, 15785, 1226, 6654, 1323, 29530, 1997, 16158, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 124, 106, 106, 10853, 106, 106, 6198, 2355, 190, 488, 106, 2103, 4648, 162, 3036, 196, 10239, 23401, 1324, 1410, 1222, 1123, 1433, 1233, 6774, 1175, 126, 131, 133, 123, 127, 116, 106, 1598, 16599, 1237, 1230, 133, 9048, 1190, 3113, 1537, 1966, 1233, 6774, 109, 106, 109, 145, 22843, 2865, 2322, 1523, 488, 125, 123, 123, 128, 120, 124, 124, 120, 124, 126, 119, 1256, 1518, 155, 145, 150, 106, 106, 28870, 5825, 488, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1313, 1410, 10313, 16070, 8772, 106, 1598, 1222, 1123, 1433, 1233, 6774, 4405, 1355, 1135, 6014, 6653, 1647, 1361, 5368, 4501, 28536, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1238, 13426, 3096, 184, 106, 6198, 2355, 1324, 1192, 2082, 172, 4173, 23850, 1188, 5437, 180, 1519, 1404, 106, 106, 146, 2740, 8403, 1125, 7585, 26559, 106, 146, 2740, 10709, 23521, 106, 146, 2740, 10709, 1125, 10221, 15486, 106, 146, 2740, 10709, 19778, 1186, 488, 125, 123, 123, 127, 106, 146, 2740, 10709, 8403, 2487, 1282, 13221, 1299, 28474, 1215, 1207, 18711, 28154, 106, 155, 7849, 1902, 4716, 1844, 1594, 7822, 1656, 106, 29673, 186, 10709, 8403, 32001, 488, 106, 32000, 20036, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1239, 1151, 4950, 4501, 2957, 3425, 2267, 1446, 10221, 9467, 1346, 7892, 9236, 106, 106, 24436, 106, 17696, 1109, 1641, 13942, 1163, 6832, 1977, 6375, 1297, 17084, 1285, 1341, 2692, 2939, 190, 8090, 4459, 121, 7162, 21904, 1226, 1789, 18876, 24476, 22093, 1429, 1171, 2489, 2420, 31427, 1135, 2957, 11395, 1161, 3991, 3176, 1867, 162, 6266, 9321, 1237, 2314, 1171, 24778, 1310, 17913, 116, 1171, 1192, 2082, 172, 1233, 1532, 1824, 9321, 5301, 1285, 19604, 1890, 3476, 6912, 1172, 2982, 1171, 1106, 1203, 174, 1195, 1107, 1576, 14865, 1163, 6750, 4989, 1346, 1789, 4501, 1239, 4558, 1238, 6264, 2027, 1446, 16955, 2141, 11658, 180, 20818, 26257, 1329, 17469, 1171, 9491, 177, 4876, 3561, 1663, 1959, 13773, 2026, 6750, 2017, 10709, 15642, 2536, 1296, 8882, 5544, 10888, 2318, 10781, 1851, 9107, 22858, 5768, 2064, 1501, 178, 23394, 1171, 10709, 1218, 1156, 2305, 14320, 26161, 1393, 5388, 1163, 1280, 21233, 119, 1324, 3259, 31648, 1171, 5298, 3068, 6520, 1161, 1135, 7643, 1132, 1290, 1193, 2064, 2555, 1285, 4126, 28299, 1114, 26917, 1346, 1329, 28712, 1212, 3438, 1468, 2704, 1297, 106, 106, 1428, 1110, 7107, 3976, 488, 124, 132, 132, 132, 119, 3991, 3176, 1867, 162, 6266, 1171, 1192, 2082, 172, 1233, 1532, 1824, 2367, 1147, 2482, 4524, 1663, 2155, 20883, 1410, 1222, 1123, 1433, 1233, 6774, 1147, 488, 125, 123, 123, 127, 119, 2470, 3026, 28044, 1449, 1704, 1161, 1789, 12438, 1297, 106, 106, 1598, 2957, 1239, 3284, 5388, 1163, 1135, 6970, 1721, 2849, 4593, 1161, 1789, 16190, 2025, 2629, 1147, 1135, 6329, 13450, 1161, 1135, 4950, 26166, 5355, 6446, 1293, 9599, 1361, 1645, 15320, 2305, 1235, 10517, 1361, 1110, 21903, 109, 1463, 2629, 1296, 1135, 14121, 6537, 121, 106, 106, 158, 11893, 27629, 1410, 1222, 1123, 1433, 1233, 6774, 14595, 1147, 1135, 1139, 26300, 14975, 1161, 1135, 12223, 6062, 1161, 1410, 1200, 9327, 121, 3842, 1959, 18098, 3512, 1589, 1147, 1293, 2677, 2673, 8353, 1292, 23145, 9421, 2704, 6824, 21757, 7929, 18349, 1231, 1604, 1135, 1940, 1446, 20818, 26257, 119, 5343, 23112, 1190, 1810, 1171, 1135, 2423, 1446, 6815, 2621, 26172, 26152, 121, 106, 106, 6937, 1163, 1859, 1410, 1222, 1123, 1433, 1233, 6774, 4468, 2565, 1156, 1238, 1110, 1138, 31021, 3543, 1161, 1135, 4909, 6716, 1163, 15492, 1789, 2423, 26676, 24553, 9244, 1135, 9218, 17463, 1296, 1110, 8113, 1146, 16935, 1278, 1163, 5461, 20587, 1905, 6850, 2536, 1296, 4184, 17584, 1171, 6863, 5416, 2392, 3842, 1441, 30314, 1446, 10221, 15486, 1163, 2482, 15671, 24613, 488, 130, 119, 125, 127, 129, 1498, 5784, 106, 106, 1428, 1859, 3991, 3176, 1171, 1192, 2082, 172, 10229, 1789, 21493, 1147, 11610, 2488, 1151, 4955, 1163, 1789, 9887, 1171, 1238, 1789, 25723, 3136, 4055, 121, 106, 106, 22525, 11114, 106, 1598, 1222, 1123, 1433, 1233, 6774, 3835, 18015, 1703, 6832, 1977, 6375, 1297, 22628, 1703, 488, 125, 123, 123, 127, 106, 152, 6855, 9244, 1410, 9218, 2850, 3835, 18015, 1703, 6832, 1977, 6375, 1297, 22628, 1703, 488, 125, 123, 123, 129, 106, 29087, 31842, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 130, 106, 28015, 1707, 1248, 1925, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 131, 106, 158, 1510, 190, 1226, 16572, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 132, 106, 1598, 11681, 26507, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 123, 106, 151, 1841, 1200, 1706, 1201, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 124, 106, 149, 15785, 1226, 6654, 1323, 29530, 1997, 16158, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 124, 106, 106, 1891, 9520, 106, 6198, 2355, 190, 106, 2103, 4648, 162, 3036, 196, 10239, 23401, 1324, 1410, 1222, 1123, 1433, 1233, 6774, 1175, 126, 131, 133, 123, 127, 116, 106, 1598, 16599, 1237, 1230, 133, 9048, 1190, 3113, 1537, 1966, 1233, 6774, 109, 106, 109, 145, 22843, 2865, 2322, 1523, 488, 125, 123, 123, 128, 120, 124, 124, 120, 124, 126, 119, 1226, 1518, 155, 145, 150, 106, 106, 26722, 9354, 190, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1147, 1410, 10313, 16070, 8772, 106, 1598, 1222, 1123, 1433, 1233, 6774, 4405, 1355, 1135, 6014, 6653, 1647, 1361, 5368, 4501, 28536, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1238, 13426, 3096, 184, 106, 6198, 2355, 1324, 1192, 2082, 172, 4173, 23850, 1355, 5437, 180, 1519, 1404, 106, 106, 140, 16609, 26559, 4501, 2957, 106, 145, 1320, 1366, 10709, 2957, 106, 151, 1180, 15486, 7564, 10709, 2957, 106, 152, 1153, 1926, 2957, 16864, 1147, 488, 125, 123, 123, 127, 106, 140, 16609, 10709, 2957, 8957, 1870, 1239, 5080, 2928, 1449, 28154, 31648, 106, 155, 5339, 3258, 2000, 1602, 4246, 1656, 106, 140, 16609, 10709, 23504, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1239, 1151, 4950, 4501, 2957, 3425, 2267, 1446, 10221, 9467, 1346, 7892, 9236, 106, 106, 24436, 106, 17696, 1109, 1641, 13942, 1163, 6832, 1977, 6375, 1297, 17084, 1285, 1341, 2692, 2939, 190, 8090, 4459, 121, 7162, 21904, 1226, 1789, 18876, 24476, 22093, 1429, 1171, 2489, 2420, 31427, 1135, 2957, 11395, 1161, 3991, 3176, 1867, 162, 6266, 9321, 1237, 2314, 1171, 24778, 1310, 17913, 116, 1171, 1192, 2082, 172, 1233, 1532, 1824, 9321, 5301, 1285, 19604, 1890, 3476, 6912, 1172, 2982, 1171, 1106, 1203, 174, 1195, 1107, 1576, 14865, 1163, 6750, 4989, 1346, 1789, 4501, 1239, 4558, 1238, 6264, 2027, 1446, 16955, 2141, 11658, 180, 20818, 26257, 1329, 17469, 1171, 9491, 177, 4876, 3561, 1663, 1959, 13773, 2026, 6750, 2017, 10709, 15642, 2536, 1296, 8882, 5544, 10888, 2318, 10781, 1851, 9107, 22858, 5768, 2064, 1501, 178, 23394, 1171, 10709, 1218, 1156, 2305, 14320, 26161, 1393, 5388, 1163, 1280, 21233, 119, 1324, 3259, 31648, 1171, 5298, 3068, 6520, 1161, 1135, 7643, 1132, 1290, 1193, 2064, 2555, 1285, 4126, 28299, 1114, 26917, 1346, 1329, 28712, 1212, 3438, 1468, 2704, 1297, 106, 106, 1428, 1110, 7107, 3976, 488, 124, 132, 132, 132, 119, 3991, 3176, 1867, 162, 6266, 1171, 1192, 2082, 172, 1233, 1532, 1824, 2367, 1147, 2482, 4524, 1663, 2155, 20883, 1410, 1222, 1123, 1433, 1233, 6774, 1147, 488, 125, 123, 123, 127, 119, 2470, 3026, 28044, 1449, 1704, 1161, 1789, 12438, 1297, 106, 106, 1598, 2957, 1239, 3284, 5388, 1163, 1135, 6970, 1721, 2849, 4593, 1161, 1789, 16190, 2025, 2629, 1147, 1135, 6329, 13450, 1161, 1135, 4950, 26166, 5355, 6446, 1293, 9599, 1361, 1645, 15320, 2305, 1235, 10517, 1361, 1110, 21903, 109, 1463, 2629, 1296, 1135, 14121, 6537, 121, 106, 106, 158, 11893, 27629, 1410, 1222, 1123, 1433, 1233, 6774, 14595, 1147, 1135, 1139, 26300, 14975, 1161, 1135, 12223, 6062, 1161, 1410, 1200, 9327, 121, 3842, 1959, 18098, 3512, 1589, 1147, 1293, 2677, 2673, 8353, 1292, 23145, 9421, 2704, 6824, 21757, 7929, 18349, 1231, 1604, 1135, 1940, 1446, 20818, 26257, 119, 5343, 23112, 1190, 1810, 1171, 1135, 2423, 1446, 6815, 2621, 26172, 26152, 121, 106, 106, 6937, 1163, 1859, 1410, 1222, 1123, 1433, 1233, 6774, 4468, 2565, 1156, 1238, 1110, 1138, 31021, 3543, 1161, 1135, 4909, 6716, 1163, 15492, 1789, 2423, 26676, 24553, 9244, 1135, 9218, 17463, 1296, 1110, 8113, 1146, 16935, 1278, 1163, 5461, 20587, 1905, 6850, 2536, 1296, 4184, 17584, 1171, 6863, 5416, 2392, 3842, 1441, 30314, 1446, 10221, 15486, 1163, 2482, 15671, 24613, 488, 130, 119, 125, 127, 129, 1498, 5784, 106, 106, 1428, 1859, 3991, 3176, 1171, 1192, 2082, 172, 10229, 1789, 21493, 1147, 11610, 2488, 1151, 4955, 1163, 1789, 9887, 1171, 1238, 1789, 25723, 3136, 4055, 121, 106, 106, 22525, 11114, 106, 1598, 1222, 1123, 1433, 1233, 6774, 3835, 18015, 1703, 6832, 1977, 6375, 1297, 22628, 1703, 488, 125, 123, 123, 127, 106, 152, 6855, 9244, 1410, 9218, 2850, 3835, 18015, 1703, 6832, 1977, 6375, 1297, 22628, 1703, 488, 125, 123, 123, 129, 106, 29087, 31842, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 130, 106, 28015, 1707, 1248, 1925, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 131, 106, 158, 1510, 190, 1226, 16572, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 123, 132, 106, 1598, 11681, 26507, 7890, 21663, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 123, 106, 151, 1841, 1200, 1706, 1201, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 124, 106, 149, 15785, 1226, 6654, 1323, 29530, 1997, 16158, 3835, 18015, 1703, 1222, 1123, 1433, 1233, 6774, 10397, 1703, 488, 125, 123, 124, 124, 106, 106, 1891, 9520, 106, 6198, 2355, 190, 106, 2103, 4648, 162, 3036, 196, 10239, 23401, 1324, 1410, 1222, 1123, 1433, 1233, 6774, 1175, 126, 131, 133, 123, 127, 116, 106, 1598, 16599, 1237, 1230, 133, 9048, 1190, 3113, 1537, 1966, 1233, 6774, 109, 106, 109, 145, 22843, 2865, 2322, 1523, 488, 125, 123, 123, 128, 120, 124, 124, 120, 124, 126, 119, 1226, 1518, 155, 145, 150, 106, 106, 26722, 9354, 190, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1147, 1410, 10313, 16070, 8772, 106, 1598, 1222, 1123, 1433, 1233, 6774, 4405, 1355, 1135, 6014, 6653, 1647, 1361, 5368, 4501, 28536, 106, 1598, 1222, 1123, 1433, 1233, 6774, 1238, 13426, 3096, 184, 106, 6198, 2355, 1324, 1192, 2082, 172, 4173, 23850, 1355, 5437, 180, 1519, 1404, 106, 106, 140, 16609, 26559, 4501, 2957, 106, 145, 1320, 1366, 10709, 2957, 106, 151, 1180, 15486, 7564, 10709, 2957, 106, 152, 1153, 1926, 2957, 16864, 1147, 488, 125, 123, 123, 127, 106, 140, 16609, 10709, 2957, 8957, 1870, 1239, 5080, 2928, 1449, 28154, 31648, 106, 155, 5339, 3258, 2000, 1602, 4246, 1656, 106, 140, 16609, 10709, 23504, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 157, 31326, 4172, 13607, 1968, 2086, 9204, 1238, 5696, 488, 124, 132, 119, 488, 124, 132, 127, 129, 1147, 3281, 12308, 1124, 9356, 18622, 26488, 1239, 1110, 14742, 1578, 27785, 1161, 1135, 17724, 10277, 121, 7752, 488, 125, 123, 123, 132, 1163, 488, 125, 123, 125, 124, 119, 1386, 1463, 1135, 1138, 21681, 1161, 1135, 28565, 1983, 1161, 18935, 3604, 1130, 1782, 1147, 17284, 19961, 9641, 119, 26015, 7752, 488, 124, 132, 132, 130, 1163, 488, 125, 123, 123, 125, 119, 1386, 1463, 1151, 31497, 1626, 1138, 21681, 1161, 1135, 28565, 1983, 1161, 9485, 1147, 18622, 26488, 1171, 1446, 488, 125, 123, 123, 125, 1163, 488, 125, 123, 123, 132, 119, 1386, 1463, 1151, 31497, 1626, 1138, 21681, 1161, 1135, 4687, 1331, 1237, 1983, 1161, 9339, 1258, 2086, 1959, 1147, 18622, 1662, 2181, 106, 106, 141, 180, 11114, 106, 157, 31326, 4172, 13607, 1968, 186, 1463, 9204, 1238, 5696, 488, 124, 132, 119, 488, 124, 132, 127, 129, 1147, 3281, 12308, 1124, 2252, 1171, 18647, 1806, 1147, 1545, 1121, 2066, 119, 18622, 1662, 2181, 1459, 488, 124, 132, 129, 131, 119, 1386, 9713, 1589, 1324, 1110, 1233, 22781, 1161, 11384, 1446, 1135, 4017, 1161, 20312, 17368, 1147, 18622, 1662, 2181, 2133, 2491, 21605, 1135, 4529, 1355, 10315, 6678, 1314, 1361, 12148, 5528, 1147, 9339, 1258, 2086, 18622, 1662, 2181, 1459, 488, 124, 132, 130, 124, 119, 1386, 9713, 1589, 1324, 1110, 1233, 22781, 1161, 1410, 4529, 1446, 3281, 5612, 4017, 1147, 20312, 2554, 2036, 106, 106, 3466, 4151, 488, 128, 119, 488, 124, 132, 130, 126, 119, 1386, 1463, 3864, 7736, 1110, 1674, 1182, 1226, 1135, 28565, 1983, 1161, 3281, 12308, 1124, 12288, 1459, 488, 124, 132, 130, 125, 119, 1386, 18850, 1110, 11156, 1655, 1230, 1147, 1410, 4529, 1446, 1135, 1202, 1105, 1533, 1926, 18627, 1121, 2323, 4017, 1147, 11188, 119, 10034, 2305, 1459, 488, 124, 132, 131, 125, 119, 1386, 13196, 1110, 22871, 1230, 1147, 1410, 4529, 1446, 1135, 4017, 1161, 10315, 8980, 1361, 9168, 1147, 9339, 1258, 2181, 106, 106, 6937, 488, 124, 132, 131, 132, 1163, 488, 124, 132, 132, 125, 119, 1386, 1463, 1135, 30620, 1161, 10315, 10036, 6044, 10277, 1147, 18096, 1193, 5834, 18525, 1285, 18622, 1662, 2181, 7752, 488, 124, 132, 132, 123, 1163, 488, 124, 132, 132, 125, 119, 1386, 11462, 1238, 1135, 7739, 1161, 3152, 1500, 1161, 1135, 13607, 2078, 18096, 1193, 5834, 8619, 15729, 121, 7752, 488, 124, 132, 132, 125, 1163, 488, 124, 132, 132, 127, 119, 1386, 1463, 1151, 30396, 21495, 1355, 1135, 4017, 1161, 13075, 172, 1147, 5826, 14086, 2114, 13075, 2036, 7752, 488, 124, 132, 132, 127, 1163, 488, 124, 132, 132, 131, 119, 1386, 1463, 1135, 30620, 1161, 10315, 27583, 1361, 1778, 1943, 1147, 3281, 12308, 1124, 12288, 7752, 488, 124, 132, 132, 128, 1163, 488, 124, 132, 132, 131, 119, 1386, 11462, 1296, 5119, 1124, 6970, 1161, 1135, 28565, 1983, 1161, 3281, 12308, 1124, 12288, 106, 106, 3466, 6384, 488, 130, 119, 488, 125, 123, 123, 125, 119, 1386, 1463, 22951, 31497, 1626, 1138, 21681, 1161, 1135, 28565, 1983, 1161, 9485, 1171, 2352, 2344, 1138, 21681, 1161, 1405, 197, 1790, 121, 2133, 1463, 1458, 1168, 189, 1589, 1138, 21681, 1238, 7327, 488, 126, 119, 488, 125, 123, 123, 125, 119, 1324, 1233, 21681, 9521, 21160, 1296, 1135, 7774, 1458, 1168, 189, 2111, 1171, 1138, 1943, 6774, 1867, 9467, 1120, 1171, 4172, 8980, 21420, 10189, 1296, 7774, 1736, 21178, 1168, 189, 2111, 1297, 106, 106, 3466, 7286, 488, 126, 123, 119, 488, 125, 123, 123, 125, 119, 1386, 1463, 22951, 31497, 1626, 1138, 21681, 1161, 1135, 4687, 1331, 1237, 1983, 1161, 9339, 1258, 2181, 2133, 1959, 11462, 1296, 5119, 1124, 6970, 1161, 1135, 28565, 1983, 121, 3187, 31497, 1626, 1138, 21681, 1161, 1135, 4687, 1331, 1237, 1983, 1161, 9339, 1258, 2086, 1386, 1463, 11626, 1226, 1135, 12376, 1171, 2941, 1124, 6042, 2582, 6054, 1297, 7752, 488, 125, 123, 123, 127, 1163, 488, 125, 123, 123, 131, 119, 1386, 1463, 1135, 12497, 3130, 27228, 1161, 1135, 28760, 1161, 17724, 1233, 1943, 6774, 1161, 18622, 1662, 2181, 106, 106, 3466, 6678, 488, 124, 123, 119, 488, 125, 123, 123, 132, 119, 1386, 1463, 22951, 1138, 21681, 1161, 1135, 28565, 1983, 1161, 18935, 3604, 1130, 1782, 1147, 17284, 19961, 9641, 1449, 1202, 2249, 6507, 1156, 1993, 11402, 9808, 2133, 8492, 1765, 6181, 2645, 1273, 1230, 1238, 7327, 488, 125, 125, 119, 488, 125, 123, 123, 132, 119, 1355, 1135, 7092, 1142, 5245, 3926, 1128, 2718, 5663, 1161, 10315, 22523, 20433, 1147, 1135, 13927, 1161, 6653, 173, 21681, 23197, 1204, 1452, 6526, 1161, 1135, 6653, 1331, 1237, 1983, 1161, 1306, 3829, 2012, 119, 3663, 1138, 21681, 1285, 1171, 1905, 4593, 1433, 1674, 1182, 1297, 106, 106, 3466, 5696, 488, 124, 129, 119, 488, 125, 123, 125, 124, 119, 1202, 2249, 19310, 16571, 1765, 1432, 30630, 5404, 1163, 7227, 1171, 3953, 7841, 1457, 32001, 488, 106, 32000, 20036, 106, 157, 31326, 4172, 13607, 1968, 2086, 5252, 1170, 488, 488, 124, 132, 2829, 488, 124, 132, 127, 129, 1188, 3281, 12308, 1124, 2252, 1186, 18622, 26488, 1299, 1189, 29090, 1128, 24832, 1125, 12547, 11645, 15335, 7165, 1867, 488, 125, 123, 123, 132, 1188, 488, 125, 123, 125, 124, 119, 1527, 1299, 21804, 17215, 1227, 28565, 7551, 1125, 18935, 3604, 1130, 1782, 1188, 1282, 227, 1126, 14776, 3486, 189, 2588, 26076, 30590, 1317, 26015, 1867, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 125, 119, 1527, 3031, 2682, 17215, 31497, 1369, 1227, 28565, 7551, 1125, 9485, 1186, 27241, 7041, 1125, 488, 125, 123, 123, 125, 1188, 488, 125, 123, 123, 132, 119, 2682, 17215, 31497, 1369, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 22827, 2445, 1186, 18622, 1662, 2181, 106, 106, 141, 11741, 488, 106, 157, 31326, 4172, 13607, 1968, 186, 1299, 5252, 1170, 488, 488, 124, 132, 2829, 488, 124, 132, 127, 129, 1188, 3281, 12308, 1124, 2252, 1167, 1110, 2511, 180, 1188, 1545, 1121, 2066, 1186, 18622, 1662, 2181, 1653, 488, 124, 132, 129, 131, 119, 1527, 1110, 1913, 7628, 255, 7749, 2335, 1138, 2120, 1132, 24666, 1128, 488, 1467, 12594, 1125, 21455, 14609, 1824, 17368, 1186, 18622, 1662, 2181, 1778, 1158, 18908, 1527, 1110, 6403, 244, 1158, 5430, 4058, 1317, 25493, 1369, 3281, 4379, 1839, 18906, 1125, 22827, 1186, 18622, 1662, 2181, 1653, 488, 124, 132, 130, 124, 119, 1527, 1110, 1913, 7628, 255, 7749, 2335, 1138, 2120, 1132, 24666, 1128, 1186, 5430, 4058, 1125, 21455, 3281, 21147, 14609, 1824, 17368, 106, 106, 2606, 1859, 1527, 1110, 1913, 3864, 8001, 1268, 1640, 1256, 1170, 28565, 7551, 1125, 3281, 12308, 1124, 12288, 1653, 488, 124, 132, 130, 125, 119, 1527, 1110, 1913, 7628, 255, 7749, 2519, 12969, 1186, 5430, 4058, 1125, 21455, 16392, 3796, 1366, 28876, 6268, 3556, 1125, 11188, 1186, 10034, 4654, 1653, 488, 124, 132, 131, 125, 119, 1527, 1110, 1913, 7628, 255, 7749, 2335, 11622, 1128, 1186, 5430, 4058, 1125, 21455, 1125, 10315, 8980, 1361, 9168, 1125, 9339, 1258, 2181, 106, 106, 2524, 488, 124, 132, 131, 132, 1188, 488, 124, 132, 132, 125, 119, 1527, 3031, 4141, 244, 1125, 22938, 12313, 2103, 21296, 3046, 1345, 1125, 18096, 1193, 5834, 1252, 14964, 1186, 18622, 1662, 2181, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 125, 119, 1527, 3031, 6711, 1227, 5809, 20130, 1125, 4428, 14249, 4610, 1227, 5623, 6488, 180, 1193, 1124, 2036, 1867, 488, 124, 132, 132, 125, 1188, 488, 124, 132, 132, 127, 119, 1527, 3031, 13787, 7874, 178, 244, 1317, 488, 1125, 21455, 1125, 27542, 6388, 172, 1188, 5826, 14086, 1105, 1186, 13075, 2036, 1867, 488, 124, 132, 132, 127, 1188, 488, 124, 132, 132, 131, 119, 1527, 3031, 4141, 244, 1125, 1158, 19951, 1206, 1125, 12313, 3681, 19638, 1188, 3281, 12308, 1124, 12288, 1867, 488, 124, 132, 132, 128, 1188, 488, 124, 132, 132, 131, 119, 1527, 1110, 1913, 5119, 1369, 4610, 1227, 28565, 7551, 1125, 3281, 12308, 1124, 12288, 106, 106, 2606, 1859, 1527, 1110, 1913, 12688, 2682, 17215, 31497, 1369, 1227, 28565, 7551, 1125, 9485, 1186, 27241, 1167, 2682, 17215, 12456, 1227, 1939, 1548, 1859, 1527, 1110, 1913, 20360, 2682, 17215, 1469, 21804, 17215, 488, 1856, 7774, 1458, 1416, 189, 1793, 1167, 1207, 2682, 245, 1485, 488, 1167, 4172, 8980, 21420, 10189, 1856, 12186, 1736, 21178, 1416, 189, 1793, 1297, 106, 106, 2606, 1859, 1527, 1110, 1913, 12688, 2682, 17215, 31497, 1369, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 9339, 1258, 2181, 1768, 1110, 2445, 1913, 5119, 1369, 4610, 1125, 1440, 28565, 7551, 121, 1653, 4083, 1980, 1833, 17215, 31497, 1369, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 9339, 1258, 2086, 1527, 3031, 6606, 1256, 1158, 3734, 1227, 6508, 1167, 1125, 2941, 1124, 6042, 2582, 121, 1867, 488, 125, 123, 123, 127, 1188, 488, 125, 123, 123, 131, 119, 1527, 1110, 1913, 28262, 21467, 1125, 23423, 1197, 2682, 245, 1485, 15335, 2097, 1125, 1282, 3466, 191, 1662, 2181, 106, 106, 2606, 1859, 1527, 1110, 1913, 12688, 2682, 17215, 1227, 28565, 7551, 1125, 18935, 3604, 1130, 1782, 1188, 1282, 227, 1126, 14776, 3486, 189, 2588, 26076, 30590, 1215, 1170, 28679, 31443, 19877, 11402, 148, 2585, 1527, 1110, 18504, 12228, 1594, 3391, 2645, 1273, 1128, 1170, 488, 6441, 1186, 1158, 2306, 1142, 1460, 2308, 1495, 28808, 3281, 4853, 1145, 20433, 1186, 7751, 1125, 10905, 25157, 17215, 27284, 1262, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 1306, 3829, 2012, 119, 23197, 1204, 1452, 26169, 1167, 488, 2682, 245, 1485, 2442, 11471, 29586, 1199, 2100, 1125, 1268, 245, 25869, 106, 106, 2606, 1859, 1170, 28679, 9228, 7988, 1561, 23598, 1256, 5169, 1304, 9666, 1167, 1197, 8110, 1125, 26729, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 6660, 1237, 7551, 1125, 18935, 3604, 1130, 1782, 106, 6653, 9071, 1237, 7551, 1125, 22827, 106, 6660, 1237, 7551, 1125, 9485, 106, 2605, 11645, 22187, 1317, 6372, 106, 106, 28870, 5825, 488, 106, 488, 14303, 1135, 1233, 21681, 1300, 1170, 1865, 1227, 28565, 7551, 1125, 18935, 3604, 1130, 1782, 106, 488, 10789, 1863, 1263, 1274, 10290, 4172, 13607, 1968, 186, 1300, 1170, 1865, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 22827, 106, 488, 1252, 3352, 1125, 21804, 17215, 10290, 4172, 13607, 1968, 186, 1313, 17724, 7002, 1374, 27205, 106, 106, 153, 3400, 1186, 2829, 488, 124, 132, 127, 129, 106, 153, 3400, 1188, 3281, 12308, 1124, 2252, 106, 224, 193, 17215, 22187, 24832, 1227, 23841, 6298, 106, 224, 193, 17215, 22187, 24832, 1227, 12136, 25525, 6298, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 157, 31326, 4172, 13607, 1968, 2086, 5252, 1170, 488, 488, 124, 132, 2829, 488, 124, 132, 127, 129, 1188, 3281, 12308, 1124, 2252, 1186, 18622, 26488, 1299, 1189, 29090, 1128, 24832, 1125, 12547, 11645, 15335, 7165, 1867, 488, 125, 123, 123, 132, 1188, 488, 125, 123, 125, 124, 119, 1527, 1299, 21804, 17215, 1227, 28565, 7551, 1125, 18935, 3604, 1130, 1782, 1188, 1282, 227, 1126, 14776, 3486, 189, 2588, 26076, 30590, 1317, 26015, 1867, 488, 124, 132, 132, 130, 1188, 488, 125, 123, 123, 125, 119, 1527, 3031, 2682, 17215, 31497, 1369, 1227, 28565, 7551, 1125, 9485, 1186, 27241, 7041, 1125, 488, 125, 123, 123, 125, 1188, 488, 125, 123, 123, 132, 119, 2682, 17215, 31497, 1369, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 22827, 2445, 1186, 18622, 1662, 2181, 106, 106, 141, 11741, 488, 106, 157, 31326, 4172, 13607, 1968, 186, 1299, 5252, 1170, 488, 488, 124, 132, 2829, 488, 124, 132, 127, 129, 1188, 3281, 12308, 1124, 2252, 1167, 1110, 2511, 180, 1188, 1545, 1121, 2066, 1186, 18622, 1662, 2181, 1653, 488, 124, 132, 129, 131, 119, 1527, 1110, 1913, 7628, 255, 7749, 2335, 1138, 2120, 1132, 24666, 1128, 488, 1467, 12594, 1125, 21455, 14609, 1824, 17368, 1186, 18622, 1662, 2181, 1778, 1158, 18908, 1527, 1110, 6403, 244, 1158, 5430, 4058, 1317, 25493, 1369, 3281, 4379, 1839, 18906, 1125, 22827, 1186, 18622, 1662, 2181, 1653, 488, 124, 132, 130, 124, 119, 1527, 1110, 1913, 7628, 255, 7749, 2335, 1138, 2120, 1132, 24666, 1128, 1186, 5430, 4058, 1125, 21455, 3281, 21147, 14609, 1824, 17368, 106, 106, 2606, 1859, 1527, 1110, 1913, 3864, 8001, 1268, 1640, 1256, 1170, 28565, 7551, 1125, 3281, 12308, 1124, 12288, 1653, 488, 124, 132, 130, 125, 119, 1527, 1110, 1913, 7628, 255, 7749, 2519, 12969, 1186, 5430, 4058, 1125, 21455, 16392, 3796, 1366, 28876, 6268, 3556, 1125, 11188, 1186, 10034, 4654, 1653, 488, 124, 132, 131, 125, 119, 1527, 1110, 1913, 7628, 255, 7749, 2335, 11622, 1128, 1186, 5430, 4058, 1125, 21455, 1125, 10315, 8980, 1361, 9168, 1125, 9339, 1258, 2181, 106, 106, 2524, 488, 124, 132, 131, 132, 1188, 488, 124, 132, 132, 125, 119, 1527, 3031, 4141, 244, 1125, 22938, 12313, 2103, 21296, 3046, 1345, 1125, 18096, 1193, 5834, 1252, 14964, 1186, 18622, 1662, 2181, 1867, 488, 124, 132, 132, 123, 1188, 488, 124, 132, 132, 125, 119, 1527, 3031, 6711, 1227, 5809, 20130, 1125, 4428, 14249, 4610, 1227, 5623, 6488, 180, 1193, 1124, 2036, 1867, 488, 124, 132, 132, 125, 1188, 488, 124, 132, 132, 127, 119, 1527, 3031, 13787, 7874, 178, 244, 1317, 488, 1125, 21455, 1125, 27542, 6388, 172, 1188, 5826, 14086, 1105, 1186, 13075, 2036, 1867, 488, 124, 132, 132, 127, 1188, 488, 124, 132, 132, 131, 119, 1527, 3031, 4141, 244, 1125, 1158, 19951, 1206, 1125, 12313, 3681, 19638, 1188, 3281, 12308, 1124, 12288, 1867, 488, 124, 132, 132, 128, 1188, 488, 124, 132, 132, 131, 119, 1527, 1110, 1913, 5119, 1369, 4610, 1227, 28565, 7551, 1125, 3281, 12308, 1124, 12288, 106, 106, 2606, 1859, 1527, 1110, 1913, 12688, 2682, 17215, 31497, 1369, 1227, 28565, 7551, 1125, 9485, 1186, 27241, 1167, 2682, 17215, 12456, 1227, 1939, 1548, 1859, 1527, 1110, 1913, 20360, 2682, 17215, 1469, 21804, 17215, 488, 1856, 7774, 1458, 1416, 189, 1793, 1167, 1207, 2682, 245, 1485, 488, 1167, 4172, 8980, 21420, 10189, 1856, 12186, 1736, 21178, 1416, 189, 1793, 1297, 106, 106, 2606, 1859, 1527, 1110, 1913, 12688, 2682, 17215, 31497, 1369, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 9339, 1258, 2181, 1768, 1110, 2445, 1913, 5119, 1369, 4610, 1125, 1440, 28565, 7551, 121, 1653, 4083, 1980, 1833, 17215, 31497, 1369, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 9339, 1258, 2086, 1527, 3031, 6606, 1256, 1158, 3734, 1227, 6508, 1167, 1125, 2941, 1124, 6042, 2582, 121, 1867, 488, 125, 123, 123, 127, 1188, 488, 125, 123, 123, 131, 119, 1527, 1110, 1913, 28262, 21467, 1125, 23423, 1197, 2682, 245, 1485, 15335, 2097, 1125, 1282, 3466, 191, 1662, 2181, 106, 106, 2606, 1859, 1527, 1110, 1913, 12688, 2682, 17215, 1227, 28565, 7551, 1125, 18935, 3604, 1130, 1782, 1188, 1282, 227, 1126, 14776, 3486, 189, 2588, 26076, 30590, 1215, 1170, 28679, 31443, 19877, 11402, 148, 2585, 1527, 1110, 18504, 12228, 1594, 3391, 2645, 1273, 1128, 1170, 488, 6441, 1186, 1158, 2306, 1142, 1460, 2308, 1495, 28808, 3281, 4853, 1145, 20433, 1186, 7751, 1125, 10905, 25157, 17215, 27284, 1262, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 1306, 3829, 2012, 119, 23197, 1204, 1452, 26169, 1167, 488, 2682, 245, 1485, 2442, 11471, 29586, 1199, 2100, 1125, 1268, 245, 25869, 106, 106, 2606, 1859, 1170, 28679, 9228, 7988, 1561, 23598, 1256, 5169, 1304, 9666, 1167, 1197, 8110, 1125, 26729, 106, 106, 20634, 1167, 5474, 106, 106, 2439, 17935, 106, 106, 10026, 11052, 488, 106, 6660, 1237, 7551, 1125, 18935, 3604, 1130, 1782, 106, 6653, 9071, 1237, 7551, 1125, 22827, 106, 6660, 1237, 7551, 1125, 9485, 106, 2605, 11645, 22187, 1317, 6372, 106, 106, 28870, 5825, 488, 106, 488, 14303, 1135, 1233, 21681, 1300, 1170, 1865, 1227, 28565, 7551, 1125, 18935, 3604, 1130, 1782, 106, 488, 10789, 1863, 1263, 1274, 10290, 4172, 13607, 1968, 186, 1300, 1170, 1865, 1125, 1282, 2528, 9071, 1237, 7551, 1125, 22827, 106, 488, 1252, 3352, 1125, 21804, 17215, 10290, 4172, 13607, 1968, 186, 1313, 17724, 7002, 1374, 27205, 106, 106, 153, 3400, 1186, 2829, 488, 124, 132, 127, 129, 106, 153, 3400, 1188, 3281, 12308, 1124, 2252, 106, 224, 193, 17215, 22187, 24832, 1227, 23841, 6298, 106, 224, 193, 17215, 22187, 24832, 1227, 12136, 25525, 6298, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 6535, 2144, 1440, 6092, 1186, 9400, 1257, 488, 106, 152, 1470, 1772, 3383, 23678, 1389, 1299, 1189, 10058, 1125, 13498, 13585, 5958, 1207, 6346, 5247, 1125, 1772, 3383, 23678, 1389, 121, 1768, 1299, 12234, 2496, 3193, 1256, 30690, 1125, 10037, 6556, 1169, 4226, 184, 1439, 1186, 3152, 1300, 1158, 13168, 24273, 124, 119, 1186, 31318, 3219, 1894, 3798, 106, 106, 4298, 6608, 6215, 1125, 1158, 3734, 1772, 3383, 23678, 1389, 1110, 1913, 2107, 12115, 10037, 2315, 1257, 4603, 23858, 1165, 1632, 1762, 10037, 2315, 488, 124, 132, 125, 129, 1175, 1819, 1277, 2290, 1170, 3694, 1125, 10037, 1321, 10103, 1576, 106, 106, 4298, 6608, 6215, 1125, 1158, 3734, 1772, 3383, 23678, 1389, 1110, 1913, 7639, 8247, 2009, 1125, 10037, 2315, 1257, 5450, 1766, 1575, 4173, 6920, 5544, 10037, 2315, 488, 124, 132, 130, 132, 3615, 1212, 1170, 3694, 1125, 10037, 1321, 10103, 1576, 106, 106, 30609, 488, 106, 2606, 10058, 1299, 9601, 1186, 488, 124, 132, 130, 126, 121, 3767, 1436, 1342, 2851, 1197, 10037, 1321, 10103, 1362, 10037, 20916, 1941, 1125, 1233, 1372, 1249, 28661, 1823, 14931, 2391, 1125, 30690, 1125, 10037, 12350, 106, 106, 224, 6995, 16287, 12234, 2496, 3825, 488, 106, 152, 1470, 10341, 7678, 2040, 106, 152, 1470, 13457, 3441, 172, 9007, 2040, 106, 152, 1470, 9299, 1125, 1233, 1372, 1249, 3046, 1258, 173, 3567, 1379, 2040, 106, 152, 1470, 24621, 2036, 106, 106, 158, 25655, 7551, 1197, 6282, 488, 106, 16245, 1257, 14715, 1207, 2802, 1288, 1508, 1382, 2743, 9918, 1457, 106, 106, 152, 1470, 2315, 1257, 4603, 23858, 1165, 1632, 196, 1175, 124, 132, 125, 129, 119, 10037, 24621, 7972, 2040, 5450, 1766, 1575, 4173, 6920, 182, 1175, 124, 132, 130, 132, 119, 10037, 24621, 1810, 1188, 1158, 3011, 1125, 1158, 23598, 1125, 1545, 1796, 172, 15882, 25802, 2040, 1918, 3382, 1165, 1486, 1130, 1175, 124, 132, 129, 124, 116, 2040, 20682, 7307, 1134, 1374, 1175, 124, 132, 129, 132, 119, 10037, 24621, 7972, 2040, 6293, 1314, 29307, 7164, 1175, 124, 132, 131, 124, 116, 2040, 1918, 183, 3333, 1204, 1157, 1112, 1334, 1175, 124, 132, 131, 128, 116, 2040, 3985, 17697, 12511, 1319, 1109, 1175, 125, 123, 123, 125, 116, 2040, 8216, 2930, 1245, 6411, 1104, 184, 1242, 1175, 125, 123, 124, 131, 116, 2040, 1918, 1231, 13363, 1124, 1150, 1175, 125, 123, 125, 125, 116, 2040, 21303, 5729, 1352, 4931, 1577, 1175, 124, 132, 129, 132, 116, 2040, 17595, 4829, 2100, 4668, 1210, 1379, 1175, 124, 132, 130, 123, 119, 10037, 24621, 7972, 2040, 1202, 4910, 1366, 4020, 1190, 1117, 1175, 124, 132, 131, 131, 116, 2040, 1248, 1172, 2163, 13728, 1175, 124, 132, 131, 123, 1576, 106, 106, 9748, 488, 124, 125, 122, 9748, 488, 124, 128, 1257, 15701, 2590, 3276, 1415, 1577, 1175, 124, 132, 131, 130, 116, 2040, 9161, 1314, 5612, 1109, 1175, 124, 132, 132, 123, 116, 2040, 24359, 1173, 1884, 1175, 125, 123, 123, 127, 116, 2040, 7071, 1415, 15021, 1119, 1175, 125, 123, 124, 126, 1576, 106, 106, 4455, 10037, 488, 106, 16245, 1257, 14715, 1207, 2802, 1288, 1508, 1382, 2743, 9918, 1457, 106, 106, 155, 26361, 1215, 5927, 2757, 488, 125, 123, 123, 123, 488, 106, 143, 1118, 7678, 1257, 488, 125, 123, 123, 123, 119, 488, 125, 123, 123, 124, 119, 488, 125, 123, 123, 129, 119, 488, 125, 123, 123, 130, 119, 488, 125, 123, 123, 131, 119, 488, 125, 123, 124, 123, 119, 488, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 119, 488, 125, 123, 124, 127, 119, 488, 125, 123, 124, 128, 119, 488, 125, 123, 124, 129, 119, 488, 125, 123, 124, 131, 119, 488, 125, 123, 125, 124, 119, 488, 125, 123, 125, 125, 1175, 124, 127, 116, 2040, 13457, 3441, 172, 9007, 1257, 488, 125, 123, 123, 127, 119, 488, 125, 123, 123, 128, 119, 488, 125, 123, 124, 126, 119, 488, 125, 123, 124, 132, 1175, 127, 116, 2040, 20916, 1941, 1125, 1233, 1372, 1249, 1257, 488, 125, 123, 123, 125, 119, 488, 125, 123, 123, 126, 119, 488, 125, 123, 123, 132, 119, 488, 125, 123, 124, 130, 1175, 127, 116, 2040, 1321, 10103, 1257, 488, 125, 123, 125, 123, 119, 488, 125, 123, 125, 126, 1175, 125, 1576, 106, 106, 155, 26361, 1188, 5259, 2001, 10037, 2315, 2757, 488, 125, 123, 123, 123, 488, 106, 152, 1470, 2315, 1257, 5450, 1766, 1575, 4173, 6920, 182, 1175, 124, 132, 130, 132, 116, 2040, 10037, 10341, 7678, 1257, 488, 125, 123, 123, 126, 119, 488, 125, 123, 124, 132, 119, 488, 125, 123, 125, 126, 2040, 10037, 13457, 3441, 172, 255, 6664, 10037, 9299, 1125, 1233, 1372, 1249, 3046, 1258, 173, 3567, 1379, 1167, 10037, 1321, 10103, 14255, 1382, 27216, 30690, 121, 106, 106, 9748, 488, 124, 125, 2648, 488, 124, 128, 1257, 488, 125, 123, 123, 128, 119, 488, 125, 123, 124, 127, 121, 106, 106, 2809, 14443, 1197, 13535, 1256, 1207, 488, 124, 123, 8091, 13118, 1175, 125, 123, 124, 126, 1188, 488, 125, 123, 125, 125, 116, 1257, 488, 126, 176, 1300, 488, 126, 123, 121, 106, 106, 216, 26951, 488, 106, 11003, 18496, 14408, 1125, 2008, 8091, 4092, 1257, 8216, 2930, 1245, 6411, 1104, 184, 1242, 1167, 1918, 1231, 13363, 1124, 19074, 10037, 2315, 488, 125, 123, 124, 132, 1167, 10037, 2315, 488, 125, 123, 125, 126, 121, 23797, 1374, 14408, 8922, 1257, 1918, 1231, 13363, 1124, 19074, 10037, 2315, 488, 125, 123, 125, 126, 121, 23797, 1774, 10037, 2315, 1257, 5450, 1766, 1575, 4173, 6920, 5544, 2873, 1277, 1186, 488, 124, 132, 131, 123, 121, 488, 106, 106, 20634, 1167, 5474, 106, 106, 20634, 106, 106, 10853, 106, 106, 22448, 3383, 23678, 1148, 488, 106, 158, 196, 1377, 1731, 1125, 1158, 29541, 14861, 3383, 23678, 1389, 488, 106, 22448, 3383, 23678, 1389, 121, 32001, 488, 106, 32000, 20036, 106, 152, 1470, 1772, 3383, 23678, 1389, 1239, 1151, 12058, 18614, 2901, 1199, 22291, 6176, 5718, 1446, 1772, 3383, 23678, 1389, 121, 1988, 1239, 1110, 5916, 8096, 12621, 1226, 1135, 10037, 2315, 2901, 2851, 1758, 1239, 19839, 5368, 1238, 1135, 24273, 124, 10305, 2600, 1867, 1159, 1377, 1657, 106, 106, 140, 10037, 1446, 1135, 1772, 3383, 23678, 1389, 6054, 1602, 2023, 1116, 7101, 1156, 10037, 2315, 133, 4603, 23858, 1165, 1632, 1762, 10037, 2315, 488, 124, 132, 125, 129, 11555, 4625, 2670, 1135, 5783, 1161, 10037, 1321, 10103, 1576, 106, 106, 140, 10037, 1446, 1135, 1772, 3383, 23678, 1389, 6054, 1602, 2023, 1135, 2807, 1977, 7710, 1226, 10037, 2315, 133, 5450, 1766, 1575, 4173, 6920, 5544, 10037, 2315, 488, 124, 132, 130, 132, 1175, 11821, 1135, 5783, 1161, 10037, 1321, 10103, 1576, 106, 106, 24436, 106, 1598, 12621, 1463, 5772, 1147, 488, 124, 132, 130, 126, 121, 1202, 10334, 1163, 7414, 10037, 1321, 10103, 1329, 10037, 20916, 1941, 1125, 1233, 1372, 1249, 2592, 19646, 1147, 1135, 10037, 2315, 2901, 4974, 106, 106, 29433, 26886, 3447, 28898, 106, 152, 1470, 10341, 7678, 134, 106, 152, 1470, 13457, 3441, 172, 9007, 134, 106, 152, 1470, 9299, 1125, 1233, 1372, 1249, 3046, 1258, 173, 3567, 1379, 134, 106, 152, 1470, 24621, 2036, 106, 106, 158, 15930, 1161, 5385, 106, 16245, 133, 6457, 1543, 2088, 1239, 5388, 1251, 4746, 106, 106, 152, 1470, 2315, 133, 4603, 23858, 1165, 1632, 196, 1175, 124, 132, 125, 129, 119, 10037, 1321, 10103, 3628, 5450, 1766, 1575, 4173, 6920, 182, 1175, 124, 132, 130, 132, 119, 10037, 24621, 1810, 3602, 1135, 1432, 30630, 1161, 1545, 1796, 172, 15882, 1107, 3628, 1918, 3382, 1165, 1486, 1130, 1175, 124, 132, 129, 124, 3628, 20682, 7307, 1134, 1374, 1175, 124, 132, 129, 132, 119, 10037, 1321, 10103, 3628, 6293, 1314, 29307, 7164, 1175, 124, 132, 131, 124, 3628, 1918, 183, 3333, 1204, 1157, 1112, 1334, 1175, 124, 132, 131, 128, 3628, 3985, 17697, 12511, 1319, 1109, 1175, 125, 123, 123, 125, 3628, 8216, 2930, 1245, 6411, 1104, 184, 1242, 1175, 125, 123, 124, 131, 3628, 1918, 1231, 13363, 1124, 1150, 1175, 125, 123, 125, 125, 3628, 21303, 5729, 1352, 4931, 1577, 1175, 124, 132, 129, 132, 3628, 17595, 4829, 2100, 4668, 1210, 1379, 1175, 124, 132, 130, 123, 119, 10037, 1321, 10103, 3628, 1202, 4910, 1366, 4020, 1190, 1117, 1175, 124, 132, 131, 131, 3628, 1248, 1172, 2163, 13728, 1175, 124, 132, 131, 123, 1576, 106, 106, 9748, 488, 124, 125, 122, 9748, 488, 124, 128, 133, 15701, 2590, 3276, 1415, 1577, 1175, 124, 132, 131, 130, 3628, 9161, 1314, 5612, 1109, 1175, 124, 132, 132, 123, 3628, 24359, 1173, 1884, 1175, 125, 123, 123, 127, 3628, 7071, 1415, 15021, 1119, 1175, 125, 123, 124, 126, 1576, 106, 106, 1598, 10037, 1104, 106, 16245, 133, 6457, 1543, 2088, 1239, 5388, 1251, 4746, 106, 106, 140, 5381, 1449, 15867, 3976, 488, 125, 123, 123, 123, 106, 143, 12638, 3009, 488, 125, 123, 123, 123, 119, 488, 125, 123, 123, 124, 119, 488, 125, 123, 123, 129, 119, 488, 125, 123, 123, 130, 119, 488, 125, 123, 123, 131, 119, 488, 125, 123, 124, 123, 119, 488, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 119, 488, 125, 123, 124, 127, 119, 488, 125, 123, 124, 128, 119, 488, 125, 123, 124, 129, 119, 488, 125, 123, 124, 131, 119, 488, 125, 123, 125, 124, 119, 488, 125, 123, 125, 125, 1175, 124, 127, 3628, 13457, 3441, 172, 9007, 133, 488, 125, 123, 123, 127, 119, 488, 125, 123, 123, 128, 119, 488, 125, 123, 124, 126, 119, 488, 125, 123, 124, 132, 1175, 127, 3628, 20916, 1941, 1125, 1233, 1372, 1249, 133, 488, 125, 123, 123, 125, 119, 488, 125, 123, 123, 126, 119, 488, 125, 123, 123, 132, 119, 488, 125, 123, 124, 130, 1175, 127, 3628, 24621, 8118, 488, 125, 123, 125, 123, 119, 488, 125, 123, 125, 126, 1175, 125, 1576, 106, 106, 140, 5381, 1355, 1135, 10037, 2315, 2901, 1199, 3976, 488, 125, 123, 123, 123, 106, 152, 1470, 2315, 133, 5450, 1766, 1575, 4173, 6920, 182, 1175, 124, 132, 130, 132, 3628, 10037, 10341, 173, 3009, 488, 125, 123, 123, 126, 119, 488, 125, 123, 124, 132, 119, 488, 125, 123, 125, 126, 134, 10037, 13457, 3441, 172, 255, 6664, 10037, 9299, 1125, 1233, 1372, 1249, 3046, 1258, 173, 3567, 4748, 1171, 10037, 1321, 10103, 1537, 1375, 9917, 1135, 2901, 4974, 106, 106, 9748, 488, 124, 125, 2491, 488, 124, 128, 133, 488, 125, 123, 123, 128, 119, 488, 125, 123, 124, 127, 121, 106, 106, 6246, 13055, 11178, 1149, 1226, 1135, 2977, 488, 124, 123, 28898, 1175, 125, 123, 124, 126, 1163, 488, 125, 123, 125, 125, 3568, 488, 126, 9710, 1656, 1161, 488, 126, 123, 121, 106, 106, 4155, 4153, 106, 141, 1182, 11178, 1149, 1147, 6986, 1976, 3009, 8216, 2930, 1245, 6411, 1104, 184, 1242, 1171, 1918, 1231, 13363, 1124, 19074, 10037, 2315, 488, 125, 123, 124, 132, 1171, 10037, 2315, 488, 125, 123, 125, 126, 121, 13426, 11178, 9513, 1918, 1231, 13363, 1124, 19074, 10037, 2315, 488, 125, 123, 125, 126, 121, 13426, 10037, 2315, 133, 5450, 1766, 1575, 4173, 6920, 5544, 21247, 1147, 488, 124, 132, 131, 123, 121, 488, 106, 106, 20634, 1171, 22874, 106, 106, 20634, 106, 106, 1891, 9520, 106, 106, 22448, 3383, 23678, 1148, 106, 21097, 1161, 29541, 14861, 3383, 23678, 1389, 106, 22448, 3383, 23678, 1389, 121, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 152, 1470, 1772, 3383, 23678, 1389, 1239, 1151, 12058, 18614, 2901, 1199, 22291, 6176, 5718, 1446, 1772, 3383, 23678, 1389, 121, 1988, 1239, 1110, 5916, 8096, 12621, 1226, 1135, 10037, 2315, 2901, 2851, 1758, 1239, 19839, 5368, 1238, 1135, 24273, 124, 10305, 2600, 1867, 1159, 1377, 1657, 106, 106, 140, 10037, 1446, 1135, 1772, 3383, 23678, 1389, 6054, 1602, 2023, 1116, 7101, 1156, 10037, 2315, 133, 4603, 23858, 1165, 1632, 1762, 10037, 2315, 488, 124, 132, 125, 129, 11555, 4625, 2670, 1135, 5783, 1161, 10037, 1321, 10103, 1576, 106, 106, 140, 10037, 1446, 1135, 1772, 3383, 23678, 1389, 6054, 1602, 2023, 1135, 2807, 1977, 7710, 1226, 10037, 2315, 133, 5450, 1766, 1575, 4173, 6920, 5544, 10037, 2315, 488, 124, 132, 130, 132, 1175, 11821, 1135, 5783, 1161, 10037, 1321, 10103, 1576, 106, 106, 24436, 106, 1598, 12621, 1463, 5772, 1147, 488, 124, 132, 130, 126, 121, 1202, 10334, 1163, 7414, 10037, 1321, 10103, 1329, 10037, 20916, 1941, 1125, 1233, 1372, 1249, 2592, 19646, 1147, 1135, 10037, 2315, 2901, 4974, 106, 106, 29433, 26886, 3447, 28898, 106, 152, 1470, 10341, 7678, 134, 106, 152, 1470, 13457, 3441, 172, 9007, 134, 106, 152, 1470, 9299, 1125, 1233, 1372, 1249, 3046, 1258, 173, 3567, 1379, 134, 106, 152, 1470, 24621, 2036, 106, 106, 158, 15930, 1161, 5385, 106, 16245, 133, 6457, 1543, 2088, 1239, 5388, 1251, 4746, 106, 106, 152, 1470, 2315, 133, 4603, 23858, 1165, 1632, 196, 1175, 124, 132, 125, 129, 119, 10037, 1321, 10103, 3628, 5450, 1766, 1575, 4173, 6920, 182, 1175, 124, 132, 130, 132, 119, 10037, 24621, 1810, 3602, 1135, 1432, 30630, 1161, 1545, 1796, 172, 15882, 1107, 3628, 1918, 3382, 1165, 1486, 1130, 1175, 124, 132, 129, 124, 3628, 20682, 7307, 1134, 1374, 1175, 124, 132, 129, 132, 119, 10037, 1321, 10103, 3628, 6293, 1314, 29307, 7164, 1175, 124, 132, 131, 124, 3628, 1918, 183, 3333, 1204, 1157, 1112, 1334, 1175, 124, 132, 131, 128, 3628, 3985, 17697, 12511, 1319, 1109, 1175, 125, 123, 123, 125, 3628, 8216, 2930, 1245, 6411, 1104, 184, 1242, 1175, 125, 123, 124, 131, 3628, 1918, 1231, 13363, 1124, 1150, 1175, 125, 123, 125, 125, 3628, 21303, 5729, 1352, 4931, 1577, 1175, 124, 132, 129, 132, 3628, 17595, 4829, 2100, 4668, 1210, 1379, 1175, 124, 132, 130, 123, 119, 10037, 1321, 10103, 3628, 1202, 4910, 1366, 4020, 1190, 1117, 1175, 124, 132, 131, 131, 3628, 1248, 1172, 2163, 13728, 1175, 124, 132, 131, 123, 1576, 106, 106, 9748, 488, 124, 125, 122, 9748, 488, 124, 128, 133, 15701, 2590, 3276, 1415, 1577, 1175, 124, 132, 131, 130, 3628, 9161, 1314, 5612, 1109, 1175, 124, 132, 132, 123, 3628, 24359, 1173, 1884, 1175, 125, 123, 123, 127, 3628, 7071, 1415, 15021, 1119, 1175, 125, 123, 124, 126, 1576, 106, 106, 1598, 10037, 1104, 106, 16245, 133, 6457, 1543, 2088, 1239, 5388, 1251, 4746, 106, 106, 140, 5381, 1449, 15867, 3976, 488, 125, 123, 123, 123, 106, 143, 12638, 3009, 488, 125, 123, 123, 123, 119, 488, 125, 123, 123, 124, 119, 488, 125, 123, 123, 129, 119, 488, 125, 123, 123, 130, 119, 488, 125, 123, 123, 131, 119, 488, 125, 123, 124, 123, 119, 488, 125, 123, 124, 124, 119, 488, 125, 123, 124, 125, 119, 488, 125, 123, 124, 127, 119, 488, 125, 123, 124, 128, 119, 488, 125, 123, 124, 129, 119, 488, 125, 123, 124, 131, 119, 488, 125, 123, 125, 124, 119, 488, 125, 123, 125, 125, 1175, 124, 127, 3628, 13457, 3441, 172, 9007, 133, 488, 125, 123, 123, 127, 119, 488, 125, 123, 123, 128, 119, 488, 125, 123, 124, 126, 119, 488, 125, 123, 124, 132, 1175, 127, 3628, 20916, 1941, 1125, 1233, 1372, 1249, 133, 488, 125, 123, 123, 125, 119, 488, 125, 123, 123, 126, 119, 488, 125, 123, 123, 132, 119, 488, 125, 123, 124, 130, 1175, 127, 3628, 24621, 8118, 488, 125, 123, 125, 123, 119, 488, 125, 123, 125, 126, 1175, 125, 1576, 106, 106, 140, 5381, 1355, 1135, 10037, 2315, 2901, 1199, 3976, 488, 125, 123, 123, 123, 106, 152, 1470, 2315, 133, 5450, 1766, 1575, 4173, 6920, 182, 1175, 124, 132, 130, 132, 3628, 10037, 10341, 173, 3009, 488, 125, 123, 123, 126, 119, 488, 125, 123, 124, 132, 119, 488, 125, 123, 125, 126, 134, 10037, 13457, 3441, 172, 255, 6664, 10037, 9299, 1125, 1233, 1372, 1249, 3046, 1258, 173, 3567, 4748, 1171, 10037, 1321, 10103, 1537, 1375, 9917, 1135, 2901, 4974, 106, 106, 9748, 488, 124, 125, 2491, 488, 124, 128, 133, 488, 125, 123, 123, 128, 119, 488, 125, 123, 124, 127, 121, 106, 106, 6246, 13055, 11178, 1149, 1226, 1135, 2977, 488, 124, 123, 28898, 1175, 125, 123, 124, 126, 1163, 488, 125, 123, 125, 125, 3568, 488, 126, 9710, 1656, 1161, 488, 126, 123, 121, 106, 106, 4155, 4153, 106, 141, 1182, 11178, 1149, 1147, 6986, 1976, 3009, 8216, 2930, 1245, 6411, 1104, 184, 1242, 1171, 1918, 1231, 13363, 1124, 19074, 10037, 2315, 488, 125, 123, 124, 132, 1171, 10037, 2315, 488, 125, 123, 125, 126, 121, 13426, 11178, 9513, 1918, 1231, 13363, 1124, 19074, 10037, 2315, 488, 125, 123, 125, 126, 121, 13426, 10037, 2315, 133, 5450, 1766, 1575, 4173, 6920, 5544, 21247, 1147, 488, 124, 132, 131, 123, 121, 488, 106, 106, 20634, 1171, 22874, 106, 106, 20634, 106, 106, 1891, 9520, 106, 106, 22448, 3383, 23678, 1148, 106, 21097, 1161, 29541, 14861, 3383, 23678, 1389, 106, 22448, 3383, 23678, 1389, 121, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 162, 1172, 1319, 1200, 1833, 1123, 3100, 9204, 1238, 7262, 488, 129, 119, 488, 124, 131, 131, 128, 1147, 24565, 185, 11772, 4698, 1591, 197, 1869, 180, 1168, 1496, 18846, 4419, 1246, 1147, 3346, 1265, 116, 1171, 12743, 1238, 6674, 488, 125, 130, 119, 488, 124, 132, 129, 128, 1147, 1135, 488, 124, 129, 1276, 28077, 1161, 6721, 1463, 1110, 9197, 19442, 119, 25100, 1161, 1135, 1200, 1833, 27793, 6083, 1147, 18994, 106, 106, 141, 180, 11114, 106, 106, 164, 3297, 1171, 4772, 29457, 1319, 1200, 1833, 27793, 1463, 9204, 1238, 7262, 488, 129, 119, 488, 124, 131, 131, 128, 1147, 24565, 185, 1123, 5520, 8069, 1810, 2692, 1147, 3346, 1265, 121, 106, 106, 3780, 17080, 27398, 1122, 17542, 1153, 10962, 3615, 3048, 1161, 21686, 17542, 1153, 10962, 3551, 183, 3383, 191, 1496, 9204, 1238, 6942, 488, 126, 123, 119, 488, 124, 131, 131, 130, 1147, 1135, 488, 124, 129, 1276, 28077, 1161, 2801, 1171, 12743, 1238, 7871, 488, 125, 123, 119, 488, 124, 132, 129, 130, 1147, 1135, 488, 124, 129, 1276, 28077, 1161, 18994, 3842, 2055, 2197, 4851, 3813, 6868, 4339, 1314, 4736, 1164, 1174, 1200, 1833, 27793, 22414, 2890, 1233, 1387, 1119, 1246, 15344, 1576, 106, 106, 3780, 1239, 1135, 1189, 2927, 1161, 3985, 1120, 12439, 14729, 2665, 121, 106, 106, 1598, 1200, 1833, 27793, 6083, 106, 106, 1598, 17448, 7022, 1104, 7812, 4846, 3027, 6083, 1355, 488, 131, 128, 5820, 1227, 13981, 1287, 5288, 17116, 3046, 15933, 1602, 2023, 8452, 3976, 488, 124, 131, 132, 132, 1147, 1135, 488, 124, 123, 1276, 28077, 1161, 18994, 106, 106, 1598, 6938, 4571, 17448, 7022, 1104, 7812, 4846, 3027, 14251, 22987, 1110, 6540, 8452, 1355, 488, 127, 129, 120, 127, 131, 3358, 21290, 1125, 19855, 1171, 4912, 1269, 2470, 119, 1135, 6540, 7594, 5081, 106, 106, 1598, 6083, 8420, 3918, 1117, 5899, 1426, 1479, 10667, 16023, 6161, 1285, 14008, 2064, 1163, 196, 1285, 3664, 1784, 1107, 1762, 4892, 1988, 1463, 1704, 1161, 1135, 15867, 17106, 1161, 1302, 7824, 1410, 2220, 17448, 7022, 1104, 7812, 4846, 3027, 6227, 1446, 1135, 3313, 1302, 7136, 2025, 8420, 1355, 4768, 1268, 8546, 1163, 1135, 4645, 30071, 106, 106, 145, 31818, 1135, 8042, 5055, 1325, 5567, 1135, 4571, 2055, 1163, 9733, 1135, 6540, 1226, 1110, 2884, 119, 2491, 9648, 5081, 1459, 488, 124, 132, 125, 123, 119, 29457, 1319, 1200, 1833, 27793, 24288, 1135, 6540, 1355, 488, 131, 128, 120, 131, 130, 5820, 1227, 13981, 1287, 5288, 17116, 3046, 1516, 2982, 14702, 1135, 1940, 9197, 25214, 10595, 1657, 106, 106, 3780, 7750, 1765, 18021, 4793, 2992, 2554, 21686, 17542, 1153, 10962, 3551, 183, 3383, 3378, 1110, 1113, 9607, 1107, 1147, 15617, 2064, 5271, 25100, 1161, 1135, 6580, 1120, 25182, 1163, 2661, 2667, 15492, 1765, 24394, 106, 106, 1598, 1200, 1833, 27793, 3577, 106, 106, 1428, 488, 124, 132, 127, 123, 119, 1135, 28047, 1220, 1776, 2645, 1589, 1135, 1200, 1833, 27793, 6083, 1324, 1543, 2019, 11080, 26441, 3813, 12868, 1978, 1267, 2996, 1410, 25214, 1463, 5253, 1163, 7927, 2305, 106, 106, 1598, 6083, 7905, 1110, 16108, 9275, 3577, 119, 1200, 2379, 9081, 1243, 11555, 1573, 3577, 1496, 1110, 2801, 2323, 24514, 1161, 7238, 1452, 2305, 1410, 1940, 3337, 6162, 1500, 2025, 2629, 1226, 4592, 1210, 1265, 1439, 134, 1135, 488, 127, 1276, 11972, 1463, 9837, 2127, 1110, 1177, 3324, 1160, 1626, 17937, 1123, 1696, 1226, 1135, 488, 130, 132, 128, 8849, 17380, 10548, 1201, 1446, 1135, 7238, 8971, 3577, 121, 106, 106, 3466, 6678, 488, 125, 130, 119, 488, 124, 132, 127, 124, 119, 1704, 11635, 1171, 20809, 17380, 1147, 184, 2026, 2025, 31145, 1446, 1135, 7238, 8971, 3577, 1163, 1135, 1200, 1833, 27793, 6083, 121, 3842, 2025, 1135, 1940, 4594, 2100, 1104, 1446, 3337, 23997, 27045, 1147, 2801, 133, 1200, 1833, 1123, 3100, 1192, 6274, 183, 1123, 5520, 1171, 30983, 1119, 2181, 106, 106, 6937, 488, 124, 132, 127, 124, 1163, 488, 124, 132, 127, 126, 119, 1905, 488, 131, 123, 123, 10548, 1201, 11462, 1296, 16108, 3536, 4834, 31292, 1446, 1110, 4013, 11004, 1163, 1110, 11764, 5182, 11635, 1171, 4593, 1433, 2874, 1157, 1161, 2484, 10548, 1201, 2025, 1125, 2284, 1427, 121, 106, 106, 18628, 1135, 1144, 5567, 1135, 6540, 1463, 9553, 1163, 29457, 1319, 1200, 1833, 27793, 2470, 5055, 6832, 21979, 106, 106, 3780, 12743, 1355, 1765, 3489, 1147, 1135, 488, 124, 129, 1276, 28077, 1161, 2801, 1238, 6674, 488, 125, 130, 119, 488, 124, 132, 129, 128, 121, 2133, 1463, 9531, 2295, 1355, 1135, 2801, 2323, 1116, 1320, 1130, 1884, 1161, 1233, 2818, 13678, 106, 106, 2606, 178, 4676, 1410, 4571, 7620, 4454, 1147, 1135, 7515, 120, 124, 132, 130, 123, 1297, 1459, 488, 124, 132, 132, 123, 119, 1135, 6540, 1463, 8420, 121, 1410, 2046, 2410, 2025, 11051, 19780, 4945, 488, 125, 123, 123, 123, 121, 106, 106, 148, 2548, 22489, 1135, 1233, 2699, 142, 22889, 1151, 21783, 16822, 26946, 1626, 1161, 21549, 4277, 1704, 1161, 1135, 2274, 30048, 1500, 1161, 6580, 3366, 1239, 2692, 8452, 1147, 1135, 6459, 1200, 1833, 27793, 3381, 2241, 1459, 488, 125, 123, 124, 130, 119, 1548, 173, 1986, 1979, 1959, 11085, 2127, 1135, 2046, 1120, 1457, 32001, 488, 106, 32000, 20036, 106, 162, 1172, 1319, 1200, 1833, 1123, 3100, 5252, 1170, 488, 129, 2584, 488, 124, 131, 131, 128, 1188, 24565, 185, 11772, 4698, 1591, 197, 1869, 180, 1168, 1496, 1186, 14512, 22282, 17277, 1186, 24088, 116, 1167, 4541, 1170, 488, 125, 130, 3012, 488, 124, 132, 129, 128, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 6721, 1299, 1189, 19442, 15173, 20840, 1227, 14084, 1200, 1833, 1123, 3100, 1188, 18994, 106, 106, 141, 11741, 106, 106, 5522, 9861, 1167, 4446, 29457, 1319, 1200, 1833, 27793, 1139, 6146, 1170, 488, 129, 2584, 488, 124, 131, 131, 128, 1188, 24565, 185, 1123, 5520, 1186, 8903, 2620, 10125, 1186, 24088, 121, 106, 106, 5164, 16722, 27398, 1122, 17542, 1153, 10962, 3615, 5892, 1125, 21686, 17542, 1153, 10962, 3551, 183, 3383, 191, 1496, 14232, 1170, 488, 126, 123, 2921, 488, 124, 131, 131, 130, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 2801, 1167, 31591, 1170, 488, 125, 123, 3141, 488, 124, 132, 129, 130, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 18994, 4651, 2004, 2069, 4661, 2487, 6868, 4339, 1314, 4736, 1164, 1174, 1200, 1833, 27793, 1175, 1955, 2566, 1233, 1387, 1119, 1246, 15344, 1576, 106, 106, 5164, 1299, 1282, 1986, 1126, 6348, 18303, 12439, 14729, 2665, 121, 106, 106, 2606, 14084, 1200, 1833, 27793, 106, 106, 2606, 14084, 17448, 7022, 1104, 7812, 4846, 3027, 488, 1317, 488, 131, 128, 5820, 1227, 13981, 1287, 5288, 17116, 3046, 15933, 1299, 18400, 2757, 488, 124, 131, 132, 132, 1313, 1170, 488, 124, 123, 176, 28077, 1125, 18994, 106, 106, 3562, 3385, 30831, 17448, 7022, 1104, 7812, 4846, 3027, 14251, 4723, 4326, 1189, 20672, 12405, 8446, 1317, 488, 127, 129, 120, 127, 131, 3358, 21290, 1125, 19855, 31600, 1996, 19539, 8566, 1282, 26843, 12405, 1317, 9823, 1125, 9346, 121, 106, 106, 2606, 14084, 9516, 1197, 3918, 1117, 5899, 1197, 28581, 1283, 1344, 1287, 1692, 1285, 1197, 29790, 1285, 1197, 3227, 26465, 1125, 1158, 1152, 2532, 7615, 4892, 1768, 1844, 3247, 1197, 6804, 22334, 1125, 21778, 121, 1548, 1874, 17448, 7022, 1104, 7812, 4846, 3027, 7424, 1227, 1844, 1309, 1207, 3519, 1508, 31264, 1188, 3248, 2306, 119, 1188, 1158, 5971, 13565, 121, 106, 106, 216, 1158, 3011, 1125, 1158, 16880, 12507, 27213, 10319, 3233, 25885, 1170, 12685, 6334, 9058, 2648, 1170, 5898, 121, 1653, 488, 124, 132, 125, 123, 119, 29457, 1319, 1200, 1833, 27793, 10086, 21960, 1282, 26843, 1287, 3476, 1571, 488, 131, 128, 120, 131, 130, 5820, 1227, 13981, 1287, 5288, 17116, 3046, 1516, 2982, 1167, 7354, 1170, 3151, 19782, 2720, 1125, 1520, 1287, 11602, 106, 106, 5164, 3221, 1188, 1594, 5188, 24724, 1450, 21686, 17542, 1153, 10962, 3551, 183, 3383, 3378, 1113, 4587, 1374, 1227, 14207, 1125, 1721, 22051, 12905, 20840, 1227, 3274, 6580, 3366, 1125, 11341, 2282, 1313, 1158, 9853, 1125, 1594, 2385, 7441, 106, 106, 2606, 3577, 1200, 1833, 27793, 106, 106, 1686, 488, 124, 132, 127, 123, 119, 1207, 24625, 2082, 190, 1776, 1120, 6395, 1170, 14084, 1200, 1833, 27793, 1469, 1667, 1594, 11080, 3693, 1251, 5749, 1207, 1116, 27158, 31020, 26548, 1808, 22348, 1508, 8064, 1234, 1186, 17490, 121, 106, 106, 2606, 14084, 7354, 1189, 3577, 1125, 2498, 9778, 2357, 1170, 1200, 2379, 9081, 1243, 3471, 1916, 1299, 1496, 26853, 10960, 3556, 1125, 7238, 1452, 2305, 1808, 3203, 7790, 1754, 1741, 1508, 8337, 1256, 1158, 15069, 1439, 2040, 1170, 488, 127, 176, 1299, 6033, 244, 1186, 1189, 1106, 1249, 1445, 1177, 3324, 1160, 1369, 1256, 1207, 488, 130, 132, 128, 22840, 2007, 1893, 6614, 5266, 14006, 1227, 3577, 1125, 7238, 1452, 2305, 106, 106, 2606, 488, 125, 130, 3201, 488, 124, 132, 127, 124, 119, 2630, 11400, 2448, 1234, 1893, 6614, 1508, 14663, 1234, 1227, 3577, 1125, 7238, 8971, 1317, 14084, 1200, 1833, 1123, 6871, 4651, 1508, 1207, 7790, 15672, 1153, 1125, 3203, 27045, 16875, 3077, 1313, 2801, 1257, 1200, 1833, 1123, 3100, 1192, 6274, 183, 11772, 1167, 30983, 1119, 2181, 106, 106, 2524, 488, 124, 132, 127, 124, 1188, 488, 124, 132, 127, 126, 119, 3997, 488, 131, 123, 123, 22840, 2007, 8495, 22957, 1158, 2274, 1304, 13221, 1125, 2498, 9778, 2357, 2519, 4794, 1125, 3458, 10031, 1188, 1189, 27252, 8332, 29586, 2009, 14339, 4500, 1125, 2008, 22840, 2007, 1508, 1275, 1715, 4413, 106, 106, 140, 2136, 1158, 6545, 2576, 26843, 12405, 1299, 9365, 1188, 29457, 1319, 1200, 1833, 27793, 2750, 1158, 22925, 12507, 5549, 5907, 106, 106, 5164, 19859, 1188, 1594, 10081, 1227, 488, 124, 129, 176, 28077, 1125, 2801, 1170, 488, 125, 130, 3012, 488, 124, 132, 129, 128, 121, 1768, 1299, 14786, 11125, 1317, 30228, 10960, 1354, 1125, 1233, 2818, 13678, 106, 106, 13645, 19935, 2576, 4574, 4106, 1314, 1317, 8007, 1197, 4092, 488, 124, 132, 130, 123, 121, 1653, 488, 124, 132, 132, 123, 119, 1282, 26843, 12405, 1299, 24511, 121, 1808, 8936, 1508, 1188, 23258, 1265, 1105, 22571, 488, 125, 123, 123, 123, 121, 106, 106, 148, 2548, 1214, 1125, 13400, 119, 1158, 3385, 1233, 2699, 7440, 16161, 1125, 12661, 1962, 8469, 1125, 21549, 4277, 1189, 1197, 12186, 11289, 1610, 1125, 6580, 3366, 1299, 10125, 3662, 1303, 1313, 20774, 20672, 12405, 1200, 1833, 1123, 6871, 1653, 488, 125, 123, 124, 130, 119, 1548, 173, 1986, 1979, 1999, 3173, 5738, 2445, 1313, 1207, 2032, 9484, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 1939, 106, 11088, 6760, 1122, 196, 10645, 3767, 3040, 1122, 12605, 1197, 1520, 1287, 11602, 7494, 5319, 25532, 8566, 17542, 1153, 10962, 1673, 1200, 1833, 27793, 1175, 124, 131, 131, 123, 120, 124, 132, 131, 123, 1496, 16801, 1125, 1158, 1173, 10584, 20378, 488, 125, 123, 125, 126, 121, 106, 106, 10026, 11052, 1266, 3400, 1186, 2584, 488, 124, 131, 131, 128, 1266, 3400, 1186, 14512, 2460, 186, 2194, 1186, 2315, 4608, 193, 11670, 1125, 1158, 2460, 186, 2194, 14124, 1197, 9353, 6614, 1188, 2801, 14124, 1125, 1158, 2315, 3672, 1158, 22925, 12507, 10999, 1645, 2011, 2035, 19722, 1232, 1186, 2315, 6064, 1467, 1186, 3012, 488, 124, 132, 129, 128, 6064, 1467, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 130, 132, 2165, 16346, 1902, 14786, 1255, 1303, 1317, 30228, 10960, 1354, 1125, 1233, 2818, 1250, 114, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 162, 1172, 1319, 1200, 1833, 1123, 3100, 5252, 1170, 488, 129, 2584, 488, 124, 131, 131, 128, 1188, 24565, 185, 11772, 4698, 1591, 197, 1869, 180, 1168, 1496, 1186, 14512, 22282, 17277, 1186, 24088, 116, 1167, 4541, 1170, 488, 125, 130, 3012, 488, 124, 132, 129, 128, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 6721, 1299, 1189, 19442, 15173, 20840, 1227, 14084, 1200, 1833, 1123, 3100, 1188, 18994, 106, 106, 141, 11741, 106, 106, 5522, 9861, 1167, 4446, 29457, 1319, 1200, 1833, 27793, 1139, 6146, 1170, 488, 129, 2584, 488, 124, 131, 131, 128, 1188, 24565, 185, 1123, 5520, 1186, 8903, 2620, 10125, 1186, 24088, 121, 106, 106, 5164, 16722, 27398, 1122, 17542, 1153, 10962, 3615, 5892, 1125, 21686, 17542, 1153, 10962, 3551, 183, 3383, 191, 1496, 14232, 1170, 488, 126, 123, 2921, 488, 124, 131, 131, 130, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 2801, 1167, 31591, 1170, 488, 125, 123, 3141, 488, 124, 132, 129, 130, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 18994, 4651, 2004, 2069, 4661, 2487, 6868, 4339, 1314, 4736, 1164, 1174, 1200, 1833, 27793, 1175, 1955, 2566, 1233, 1387, 1119, 1246, 15344, 1576, 106, 106, 5164, 1299, 1282, 1986, 1126, 6348, 18303, 12439, 14729, 2665, 121, 106, 106, 2606, 14084, 1200, 1833, 27793, 106, 106, 2606, 14084, 17448, 7022, 1104, 7812, 4846, 3027, 488, 1317, 488, 131, 128, 5820, 1227, 13981, 1287, 5288, 17116, 3046, 15933, 1299, 18400, 2757, 488, 124, 131, 132, 132, 1313, 1170, 488, 124, 123, 176, 28077, 1125, 18994, 106, 106, 3562, 3385, 30831, 17448, 7022, 1104, 7812, 4846, 3027, 14251, 4723, 4326, 1189, 20672, 12405, 8446, 1317, 488, 127, 129, 120, 127, 131, 3358, 21290, 1125, 19855, 31600, 1996, 19539, 8566, 1282, 26843, 12405, 1317, 9823, 1125, 9346, 121, 106, 106, 2606, 14084, 9516, 1197, 3918, 1117, 5899, 1197, 28581, 1283, 1344, 1287, 1692, 1285, 1197, 29790, 1285, 1197, 3227, 26465, 1125, 1158, 1152, 2532, 7615, 4892, 1768, 1844, 3247, 1197, 6804, 22334, 1125, 21778, 121, 1548, 1874, 17448, 7022, 1104, 7812, 4846, 3027, 7424, 1227, 1844, 1309, 1207, 3519, 1508, 31264, 1188, 3248, 2306, 119, 1188, 1158, 5971, 13565, 121, 106, 106, 216, 1158, 3011, 1125, 1158, 16880, 12507, 27213, 10319, 3233, 25885, 1170, 12685, 6334, 9058, 2648, 1170, 5898, 121, 1653, 488, 124, 132, 125, 123, 119, 29457, 1319, 1200, 1833, 27793, 10086, 21960, 1282, 26843, 1287, 3476, 1571, 488, 131, 128, 120, 131, 130, 5820, 1227, 13981, 1287, 5288, 17116, 3046, 1516, 2982, 1167, 7354, 1170, 3151, 19782, 2720, 1125, 1520, 1287, 11602, 106, 106, 5164, 3221, 1188, 1594, 5188, 24724, 1450, 21686, 17542, 1153, 10962, 3551, 183, 3383, 3378, 1113, 4587, 1374, 1227, 14207, 1125, 1721, 22051, 12905, 20840, 1227, 3274, 6580, 3366, 1125, 11341, 2282, 1313, 1158, 9853, 1125, 1594, 2385, 7441, 106, 106, 2606, 3577, 1200, 1833, 27793, 106, 106, 1686, 488, 124, 132, 127, 123, 119, 1207, 24625, 2082, 190, 1776, 1120, 6395, 1170, 14084, 1200, 1833, 27793, 1469, 1667, 1594, 11080, 3693, 1251, 5749, 1207, 1116, 27158, 31020, 26548, 1808, 22348, 1508, 8064, 1234, 1186, 17490, 121, 106, 106, 2606, 14084, 7354, 1189, 3577, 1125, 2498, 9778, 2357, 1170, 1200, 2379, 9081, 1243, 3471, 1916, 1299, 1496, 26853, 10960, 3556, 1125, 7238, 1452, 2305, 1808, 3203, 7790, 1754, 1741, 1508, 8337, 1256, 1158, 15069, 1439, 2040, 1170, 488, 127, 176, 1299, 6033, 244, 1186, 1189, 1106, 1249, 1445, 1177, 3324, 1160, 1369, 1256, 1207, 488, 130, 132, 128, 22840, 2007, 1893, 6614, 5266, 14006, 1227, 3577, 1125, 7238, 1452, 2305, 106, 106, 2606, 488, 125, 130, 3201, 488, 124, 132, 127, 124, 119, 2630, 11400, 2448, 1234, 1893, 6614, 1508, 14663, 1234, 1227, 3577, 1125, 7238, 8971, 1317, 14084, 1200, 1833, 1123, 6871, 4651, 1508, 1207, 7790, 15672, 1153, 1125, 3203, 27045, 16875, 3077, 1313, 2801, 1257, 1200, 1833, 1123, 3100, 1192, 6274, 183, 11772, 1167, 30983, 1119, 2181, 106, 106, 2524, 488, 124, 132, 127, 124, 1188, 488, 124, 132, 127, 126, 119, 3997, 488, 131, 123, 123, 22840, 2007, 8495, 22957, 1158, 2274, 1304, 13221, 1125, 2498, 9778, 2357, 2519, 4794, 1125, 3458, 10031, 1188, 1189, 27252, 8332, 29586, 2009, 14339, 4500, 1125, 2008, 22840, 2007, 1508, 1275, 1715, 4413, 106, 106, 140, 2136, 1158, 6545, 2576, 26843, 12405, 1299, 9365, 1188, 29457, 1319, 1200, 1833, 27793, 2750, 1158, 22925, 12507, 5549, 5907, 106, 106, 5164, 19859, 1188, 1594, 10081, 1227, 488, 124, 129, 176, 28077, 1125, 2801, 1170, 488, 125, 130, 3012, 488, 124, 132, 129, 128, 121, 1768, 1299, 14786, 11125, 1317, 30228, 10960, 1354, 1125, 1233, 2818, 13678, 106, 106, 13645, 19935, 2576, 4574, 4106, 1314, 1317, 8007, 1197, 4092, 488, 124, 132, 130, 123, 121, 1653, 488, 124, 132, 132, 123, 119, 1282, 26843, 12405, 1299, 24511, 121, 1808, 8936, 1508, 1188, 23258, 1265, 1105, 22571, 488, 125, 123, 123, 123, 121, 106, 106, 148, 2548, 1214, 1125, 13400, 119, 1158, 3385, 1233, 2699, 7440, 16161, 1125, 12661, 1962, 8469, 1125, 21549, 4277, 1189, 1197, 12186, 11289, 1610, 1125, 6580, 3366, 1299, 10125, 3662, 1303, 1313, 20774, 20672, 12405, 1200, 1833, 1123, 6871, 1653, 488, 125, 123, 124, 130, 119, 1548, 173, 1986, 1979, 1999, 3173, 5738, 2445, 1313, 1207, 2032, 9484, 106, 106, 20634, 1167, 5474, 106, 106, 8036, 2072, 106, 106, 141, 13449, 1939, 106, 11088, 6760, 1122, 196, 10645, 3767, 3040, 1122, 12605, 1197, 1520, 1287, 11602, 7494, 5319, 25532, 8566, 17542, 1153, 10962, 1673, 1200, 1833, 27793, 1175, 124, 131, 131, 123, 120, 124, 132, 131, 123, 1496, 16801, 1125, 1158, 1173, 10584, 20378, 488, 125, 123, 125, 126, 121, 106, 106, 10026, 11052, 1266, 3400, 1186, 2584, 488, 124, 131, 131, 128, 1266, 3400, 1186, 14512, 2460, 186, 2194, 1186, 2315, 4608, 193, 11670, 1125, 1158, 2460, 186, 2194, 14124, 1197, 9353, 6614, 1188, 2801, 14124, 1125, 1158, 2315, 3672, 1158, 22925, 12507, 10999, 1645, 2011, 2035, 19722, 1232, 1186, 2315, 6064, 1467, 1186, 3012, 488, 124, 132, 129, 128, 6064, 1467, 1313, 1170, 488, 124, 129, 176, 28077, 1125, 2801, 6064, 1467, 1188, 488, 130, 132, 2165, 16346, 1902, 14786, 1255, 1303, 1317, 30228, 10960, 1354, 1125, 1233, 2818, 1250, 114, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 1598, 1405, 197, 8408, 10750, 1239, 1110, 1501, 1231, 1147, 1135, 1350, 2393, 10660, 1147, 1135, 10553, 14654, 1608, 1910, 1161, 1518, 7490, 9248, 197, 1243, 6871, 14835, 5564, 1239, 1135, 5100, 1161, 1405, 197, 178, 4414, 1988, 20388, 1151, 5457, 1161, 488, 124, 123, 124, 128, 7275, 125, 119, 1171, 2055, 1110, 5740, 1161, 488, 132, 129, 119, 123, 123, 123, 1147, 488, 125, 123, 123, 132, 121, 106, 106, 24864, 2430, 3674, 106, 1428, 488, 125, 123, 123, 132, 119, 488, 130, 127, 119, 123, 123, 123, 27550, 1701, 16420, 1147, 15498, 8333, 1171, 488, 125, 125, 119, 123, 123, 123, 1147, 15317, 1393, 6631, 106, 106, 24436, 106, 106, 144, 1276, 14411, 10254, 106, 8321, 8756, 1163, 1135, 488, 125, 123, 123, 132, 14951, 3794, 1135, 5740, 1161, 1135, 10750, 7245, 1110, 5827, 1405, 197, 1897, 182, 10971, 8389, 106, 106, 157, 7623, 14668, 1171, 20022, 106, 1598, 1405, 197, 8408, 10750, 7245, 133, 106, 2653, 5100, 1161, 1405, 197, 8408, 106, 1265, 488, 124, 132, 15498, 14668, 1175, 1558, 3340, 1143, 12624, 1190, 192, 1496, 12157, 1161, 1704, 1329, 1792, 20022, 133, 106, 106, 140, 182, 8157, 1124, 9321, 1292, 1741, 11818, 8157, 1124, 1175, 10128, 1496, 1518, 1569, 7490, 119, 12148, 1493, 12504, 257, 11216, 1171, 1233, 10667, 1122, 193, 2461, 116, 106, 141, 2215, 120, 2524, 1897, 9321, 1292, 1741, 1518, 1896, 13896, 1175, 10128, 1496, 1321, 1475, 196, 8157, 13651, 1518, 9981, 12504, 2601, 2114, 1171, 21931, 197, 3340, 12504, 7490, 1712, 116, 106, 149, 1132, 187, 1569, 1198, 2215, 9321, 1292, 1741, 30480, 1705, 7224, 2215, 1175, 10128, 1496, 11818, 7224, 1371, 5544, 3739, 29322, 9161, 4313, 1918, 3583, 1810, 3739, 29322, 1518, 9249, 193, 1810, 1518, 1591, 196, 29449, 3681, 16018, 10636, 197, 3551, 3561, 1171, 488, 233, 1210, 182, 4396, 1132, 116, 106, 149, 196, 2621, 196, 9321, 1292, 1741, 1321, 196, 2621, 196, 1175, 10128, 1496, 1518, 8272, 1810, 1518, 9080, 6363, 4151, 22429, 1951, 4187, 119, 1171, 1671, 1322, 22303, 106, 143, 1108, 3551, 1203, 1569, 9321, 1292, 1741, 29016, 18755, 1175, 10128, 1496, 21825, 2215, 192, 1203, 4353, 1233, 257, 3583, 257, 8157, 13651, 1321, 1475, 196, 4379, 173, 14102, 9368, 3551, 1203, 22429, 1518, 5834, 4853, 1626, 196, 1810, 6174, 1136, 27482, 488, 230, 197, 178, 12248, 262, 2393, 119, 1198, 257, 257, 183, 257, 1285, 1171, 1539, 19186, 1242, 116, 106, 165, 1700, 1107, 9321, 1292, 1741, 23341, 192, 4353, 1321, 1475, 196, 4379, 196, 3340, 119, 2397, 1700, 1659, 1518, 1242, 189, 3683, 1518, 1178, 1136, 1912, 119, 25859, 1347, 1173, 6234, 1171, 16275, 191, 1307, 1203, 116, 106, 149, 28483, 9321, 1292, 1741, 1518, 5834, 4853, 16561, 23568, 1175, 10128, 1496, 21931, 197, 3340, 4853, 16561, 182, 3100, 1933, 1107, 4928, 2433, 1171, 1321, 1992, 22303, 106, 148, 196, 4720, 192, 9321, 1292, 1741, 1321, 20728, 1208, 1175, 10128, 1496, 11818, 7224, 1371, 5544, 1321, 1475, 1569, 15106, 9161, 5086, 150, 1172, 7658, 1518, 1500, 7480, 191, 17618, 1518, 7490, 9248, 197, 1243, 3100, 1171, 3225, 182, 1992, 1912, 116, 106, 2330, 1119, 1454, 9321, 1292, 1741, 1539, 1119, 1454, 1175, 10128, 116, 1171, 488, 230, 1243, 10713, 262, 262, 116, 106, 150, 1124, 1949, 9321, 1292, 1741, 9161, 1949, 1175, 10128, 1496, 4736, 189, 7348, 4379, 1857, 5544, 3225, 1845, 4379, 1857, 5544, 1171, 21420, 2930, 116, 106, 150, 5834, 1198, 2215, 9321, 1292, 1741, 1209, 196, 1112, 182, 1175, 10128, 1496, 1518, 2601, 2114, 488, 233, 4317, 182, 10713, 119, 1671, 185, 1433, 184, 22429, 1171, 3985, 1210, 1456, 2296, 116, 106, 150, 1140, 9577, 4849, 9321, 1292, 1741, 2460, 1174, 1132, 7224, 1371, 182, 1175, 10128, 1496, 1539, 2858, 120, 230, 3881, 257, 116, 106, 150, 196, 197, 3340, 9081, 182, 1433, 1219, 189, 9321, 1292, 1741, 9099, 16390, 24945, 16952, 5778, 1175, 10128, 1496, 28408, 1810, 1233, 13896, 4379, 173, 1591, 179, 30895, 3276, 197, 5567, 1518, 5200, 182, 1121, 3743, 1810, 1518, 1112, 2526, 119, 1518, 1392, 16872, 119, 21931, 197, 3340, 21103, 1433, 1219, 119, 1171, 21931, 197, 3340, 3441, 1896, 1187, 116, 106, 150, 196, 197, 3340, 120, 3138, 186, 9321, 1292, 1741, 21931, 197, 3340, 120, 3138, 186, 1175, 10128, 1496, 8391, 11149, 120, 3138, 2086, 11818, 1518, 16561, 1810, 1518, 2528, 1219, 2296, 119, 1171, 8471, 11322, 120, 3138, 16497, 106, 150, 1392, 16872, 9321, 1292, 1741, 1518, 1392, 16872, 1175, 10128, 1496, 8471, 1331, 5544, 1171, 2460, 1193, 3291, 116, 106, 152, 7490, 7348, 4379, 1347, 9321, 1292, 1741, 4736, 189, 7348, 4379, 1347, 1175, 10128, 1496, 2571, 7490, 119, 1171, 21825, 7490, 116, 106, 3681, 1433, 185, 10516, 1569, 9321, 1292, 1741, 2068, 1433, 185, 10516, 1569, 1175, 10128, 1496, 4046, 1512, 173, 6234, 1198, 2215, 1233, 2215, 3683, 1173, 9552, 182, 3551, 1203, 22429, 1518, 5834, 16604, 182, 22429, 1171, 1518, 1265, 4424, 116, 106, 158, 1132, 1174, 1132, 2461, 9321, 1292, 1741, 5308, 1174, 1132, 2461, 1175, 10128, 1496, 11818, 7224, 1371, 5544, 24865, 12504, 257, 11216, 1518, 9981, 7480, 5661, 21931, 197, 3340, 3551, 1242, 1154, 5544, 21931, 197, 3340, 3984, 173, 1810, 1171, 488, 124, 128, 1321, 2215, 116, 106, 159, 1494, 1518, 1140, 9321, 1292, 1741, 2460, 26311, 1233, 2215, 1128, 1175, 10128, 1496, 1645, 172, 21931, 197, 3340, 119, 15292, 2114, 21931, 3291, 3340, 119, 1171, 26829, 1124, 1108, 12210, 116, 106, 106, 1891, 9520, 106, 106, 160, 197, 8408, 32001, 488, 106, 32000, 20036, 106, 2606, 10750, 1304, 160, 197, 8408, 1299, 1189, 1501, 1231, 1125, 1158, 10660, 14609, 1210, 1313, 1170, 18762, 13469, 1227, 17575, 1681, 1493, 1267, 6871, 6280, 17128, 1299, 1158, 3837, 1304, 160, 197, 178, 4414, 6280, 27929, 1299, 1125, 488, 124, 123, 124, 128, 7275, 125, 119, 1167, 488, 488, 132, 129, 123, 123, 123, 1251, 17355, 2457, 1186, 488, 125, 123, 123, 132, 121, 106, 106, 143, 2035, 4134, 488, 106, 1686, 488, 125, 123, 123, 132, 119, 488, 488, 130, 127, 123, 123, 123, 11411, 23236, 1186, 8007, 15498, 1167, 488, 488, 125, 125, 123, 123, 123, 1186, 1865, 7697, 11431, 106, 106, 147, 15376, 106, 106, 2700, 4218, 25130, 1460, 488, 106, 158, 3015, 1170, 30987, 1125, 488, 125, 123, 123, 132, 119, 1158, 5740, 1227, 10750, 12262, 1318, 11266, 10971, 1348, 9231, 197, 1897, 182, 1257, 106, 106, 11633, 1145, 17070, 18501, 2137, 1167, 20022, 488, 106, 2606, 10750, 1304, 160, 197, 8408, 9016, 1257, 106, 4313, 3837, 1125, 1405, 197, 8408, 106, 1130, 488, 124, 132, 22161, 18501, 2137, 1175, 1558, 3340, 1143, 12624, 1190, 192, 1496, 4407, 1473, 1125, 1189, 1362, 3171, 20022, 1257, 106, 106, 140, 182, 8157, 1124, 9321, 1292, 1741, 11818, 8157, 1124, 3471, 2214, 1496, 1518, 1569, 7490, 119, 12148, 1493, 12504, 257, 183, 1167, 1233, 10667, 1122, 193, 2461, 116, 106, 141, 2215, 120, 2524, 1897, 9321, 1292, 1741, 1518, 1896, 13896, 3471, 2214, 1496, 1321, 1475, 196, 8157, 13651, 1518, 9981, 12504, 2601, 1105, 1167, 21931, 197, 3340, 12504, 7490, 1712, 116, 106, 149, 1132, 187, 1569, 1198, 2215, 9321, 1292, 1741, 30480, 1705, 7224, 2215, 3471, 2214, 1496, 11818, 7224, 1371, 5544, 3739, 29322, 9161, 4313, 1918, 3583, 1810, 3739, 29322, 1518, 9249, 193, 1810, 1518, 1591, 196, 29449, 3681, 16018, 10636, 197, 3551, 1140, 1167, 488, 233, 1210, 182, 4396, 1132, 116, 106, 149, 196, 2621, 196, 9321, 1292, 1741, 1321, 196, 2621, 196, 3471, 2214, 1496, 1518, 8272, 1810, 1518, 9080, 6363, 4151, 22429, 1951, 4187, 1167, 1671, 1322, 22303, 106, 143, 1108, 3551, 1203, 1569, 9321, 1292, 1741, 29016, 18755, 2230, 2214, 1496, 21825, 2215, 192, 1203, 4353, 1233, 257, 3583, 257, 8157, 13651, 1321, 1475, 196, 4379, 173, 14102, 9368, 3551, 1203, 22429, 1518, 5834, 4853, 1626, 196, 1810, 6174, 1136, 27482, 488, 230, 197, 178, 12248, 262, 2393, 119, 1198, 257, 257, 183, 257, 190, 1167, 1539, 19186, 1242, 116, 106, 165, 1700, 1107, 9321, 1292, 1741, 23341, 192, 4353, 1321, 1475, 196, 4379, 196, 3340, 119, 2397, 1700, 1659, 1518, 1242, 189, 3683, 1518, 1178, 1136, 1912, 119, 25859, 1347, 29878, 1167, 16275, 191, 1307, 1203, 116, 106, 149, 28483, 9321, 1292, 1741, 1518, 5834, 4853, 16561, 23568, 3471, 2214, 1496, 21931, 197, 3340, 4853, 16561, 182, 3100, 1933, 1107, 4928, 180, 1167, 1321, 1992, 22303, 106, 148, 196, 4720, 192, 9321, 1292, 1741, 1321, 20728, 1208, 3471, 2214, 1496, 11818, 7224, 1371, 5544, 1321, 1475, 1569, 15106, 9161, 5086, 150, 1172, 7658, 1518, 1500, 7480, 191, 17618, 1518, 7490, 9248, 197, 20433, 1167, 3225, 182, 1992, 1912, 116, 106, 2330, 1119, 1454, 9321, 1292, 1741, 1539, 1119, 1454, 3471, 2214, 116, 1167, 488, 230, 1243, 10713, 262, 262, 116, 106, 150, 1124, 1949, 9321, 1292, 1741, 9161, 1949, 3471, 2214, 1496, 4736, 189, 7348, 4379, 1857, 5544, 3225, 1845, 4379, 1857, 182, 1167, 21420, 2930, 116, 106, 150, 5834, 1198, 2215, 9321, 1292, 1741, 1209, 196, 1112, 182, 3471, 2214, 1496, 1518, 2601, 2114, 488, 233, 4317, 182, 10713, 119, 1671, 185, 1433, 29035, 1167, 3985, 1210, 1456, 2296, 116, 106, 150, 1140, 9577, 4849, 9321, 1292, 1741, 2460, 1174, 1132, 7224, 1371, 182, 3471, 2214, 1496, 1539, 2858, 120, 230, 3881, 257, 116, 106, 150, 196, 197, 3340, 9081, 182, 1433, 1219, 189, 9321, 1292, 1741, 9099, 16390, 24945, 16952, 5778, 3471, 2214, 1496, 28408, 1810, 1233, 13896, 4379, 173, 1591, 179, 30895, 3276, 197, 5567, 1518, 5200, 182, 1121, 3743, 1810, 1518, 1112, 2526, 119, 1518, 1392, 16872, 119, 21931, 197, 3340, 21103, 1433, 1219, 1167, 21931, 197, 3340, 3441, 1896, 1187, 116, 106, 150, 196, 197, 3340, 120, 3138, 186, 9321, 1292, 1741, 21931, 197, 3340, 120, 3138, 186, 3471, 2214, 1496, 8391, 11149, 120, 3138, 2086, 11818, 1518, 16561, 1810, 1518, 2528, 1219, 2296, 1167, 8471, 11322, 120, 3138, 16497, 106, 150, 1392, 16872, 9321, 1292, 1741, 1518, 1392, 16872, 3471, 2214, 1496, 8471, 1331, 182, 1167, 2460, 1193, 3291, 116, 106, 152, 7490, 7348, 4379, 1347, 9321, 1292, 1741, 4736, 189, 7348, 4379, 1347, 3471, 2214, 1496, 2571, 7490, 1167, 21825, 7490, 116, 106, 3681, 1433, 185, 10516, 1569, 9321, 1292, 1741, 2068, 1433, 185, 10516, 1569, 3471, 2214, 1496, 4046, 1512, 173, 6234, 1198, 2215, 1233, 2215, 3683, 1173, 9552, 182, 3551, 1203, 22429, 1518, 5834, 16604, 182, 1569, 1167, 1518, 1265, 4424, 116, 106, 158, 1132, 1174, 1132, 2461, 9321, 1292, 1741, 5308, 1174, 1132, 2461, 3471, 2214, 1496, 11818, 7224, 1371, 5544, 24865, 12504, 257, 11216, 1518, 9981, 7480, 5661, 21931, 197, 3340, 3551, 1242, 1154, 5544, 21931, 197, 3340, 3984, 6945, 1167, 488, 124, 128, 1321, 2215, 116, 106, 159, 1494, 1518, 1140, 9321, 1292, 1741, 2460, 26311, 1233, 2215, 1128, 3471, 2214, 1496, 1645, 172, 21931, 197, 3340, 119, 15292, 2114, 21931, 3291, 3340, 1167, 26829, 1124, 1108, 12210, 116, 106, 106, 10853, 488, 106, 106, 160, 197, 8408, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2606, 10750, 1304, 160, 197, 8408, 1299, 1189, 1501, 1231, 1125, 1158, 10660, 14609, 1210, 1313, 1170, 18762, 13469, 1227, 17575, 1681, 1493, 1267, 6871, 6280, 17128, 1299, 1158, 3837, 1304, 160, 197, 178, 4414, 6280, 27929, 1299, 1125, 488, 124, 123, 124, 128, 7275, 125, 119, 1167, 488, 488, 132, 129, 123, 123, 123, 1251, 17355, 2457, 1186, 488, 125, 123, 123, 132, 121, 106, 106, 143, 2035, 4134, 488, 106, 1686, 488, 125, 123, 123, 132, 119, 488, 488, 130, 127, 123, 123, 123, 11411, 23236, 1186, 8007, 15498, 1167, 488, 488, 125, 125, 123, 123, 123, 1186, 1865, 7697, 11431, 106, 106, 147, 15376, 106, 106, 2700, 4218, 25130, 1460, 488, 106, 158, 3015, 1170, 30987, 1125, 488, 125, 123, 123, 132, 119, 1158, 5740, 1227, 10750, 12262, 1318, 11266, 10971, 1348, 9231, 197, 1897, 182, 1257, 106, 106, 11633, 1145, 17070, 18501, 2137, 1167, 20022, 488, 106, 2606, 10750, 1304, 160, 197, 8408, 9016, 1257, 106, 4313, 3837, 1125, 1405, 197, 8408, 106, 1130, 488, 124, 132, 22161, 18501, 2137, 1175, 1558, 3340, 1143, 12624, 1190, 192, 1496, 4407, 1473, 1125, 1189, 1362, 3171, 20022, 1257, 106, 106, 140, 182, 8157, 1124, 9321, 1292, 1741, 11818, 8157, 1124, 3471, 2214, 1496, 1518, 1569, 7490, 119, 12148, 1493, 12504, 257, 183, 1167, 1233, 10667, 1122, 193, 2461, 116, 106, 141, 2215, 120, 2524, 1897, 9321, 1292, 1741, 1518, 1896, 13896, 3471, 2214, 1496, 1321, 1475, 196, 8157, 13651, 1518, 9981, 12504, 2601, 1105, 1167, 21931, 197, 3340, 12504, 7490, 1712, 116, 106, 149, 1132, 187, 1569, 1198, 2215, 9321, 1292, 1741, 30480, 1705, 7224, 2215, 3471, 2214, 1496, 11818, 7224, 1371, 5544, 3739, 29322, 9161, 4313, 1918, 3583, 1810, 3739, 29322, 1518, 9249, 193, 1810, 1518, 1591, 196, 29449, 3681, 16018, 10636, 197, 3551, 1140, 1167, 488, 233, 1210, 182, 4396, 1132, 116, 106, 149, 196, 2621, 196, 9321, 1292, 1741, 1321, 196, 2621, 196, 3471, 2214, 1496, 1518, 8272, 1810, 1518, 9080, 6363, 4151, 22429, 1951, 4187, 1167, 1671, 1322, 22303, 106, 143, 1108, 3551, 1203, 1569, 9321, 1292, 1741, 29016, 18755, 2230, 2214, 1496, 21825, 2215, 192, 1203, 4353, 1233, 257, 3583, 257, 8157, 13651, 1321, 1475, 196, 4379, 173, 14102, 9368, 3551, 1203, 22429, 1518, 5834, 4853, 1626, 196, 1810, 6174, 1136, 27482, 488, 230, 197, 178, 12248, 262, 2393, 119, 1198, 257, 257, 183, 257, 190, 1167, 1539, 19186, 1242, 116, 106, 165, 1700, 1107, 9321, 1292, 1741, 23341, 192, 4353, 1321, 1475, 196, 4379, 196, 3340, 119, 2397, 1700, 1659, 1518, 1242, 189, 3683, 1518, 1178, 1136, 1912, 119, 25859, 1347, 29878, 1167, 16275, 191, 1307, 1203, 116, 106, 149, 28483, 9321, 1292, 1741, 1518, 5834, 4853, 16561, 23568, 3471, 2214, 1496, 21931, 197, 3340, 4853, 16561, 182, 3100, 1933, 1107, 4928, 180, 1167, 1321, 1992, 22303, 106, 148, 196, 4720, 192, 9321, 1292, 1741, 1321, 20728, 1208, 3471, 2214, 1496, 11818, 7224, 1371, 5544, 1321, 1475, 1569, 15106, 9161, 5086, 150, 1172, 7658, 1518, 1500, 7480, 191, 17618, 1518, 7490, 9248, 197, 20433, 1167, 3225, 182, 1992, 1912, 116, 106, 2330, 1119, 1454, 9321, 1292, 1741, 1539, 1119, 1454, 3471, 2214, 116, 1167, 488, 230, 1243, 10713, 262, 262, 116, 106, 150, 1124, 1949, 9321, 1292, 1741, 9161, 1949, 3471, 2214, 1496, 4736, 189, 7348, 4379, 1857, 5544, 3225, 1845, 4379, 1857, 182, 1167, 21420, 2930, 116, 106, 150, 5834, 1198, 2215, 9321, 1292, 1741, 1209, 196, 1112, 182, 3471, 2214, 1496, 1518, 2601, 2114, 488, 233, 4317, 182, 10713, 119, 1671, 185, 1433, 29035, 1167, 3985, 1210, 1456, 2296, 116, 106, 150, 1140, 9577, 4849, 9321, 1292, 1741, 2460, 1174, 1132, 7224, 1371, 182, 3471, 2214, 1496, 1539, 2858, 120, 230, 3881, 257, 116, 106, 150, 196, 197, 3340, 9081, 182, 1433, 1219, 189, 9321, 1292, 1741, 9099, 16390, 24945, 16952, 5778, 3471, 2214, 1496, 28408, 1810, 1233, 13896, 4379, 173, 1591, 179, 30895, 3276, 197, 5567, 1518, 5200, 182, 1121, 3743, 1810, 1518, 1112, 2526, 119, 1518, 1392, 16872, 119, 21931, 197, 3340, 21103, 1433, 1219, 1167, 21931, 197, 3340, 3441, 1896, 1187, 116, 106, 150, 196, 197, 3340, 120, 3138, 186, 9321, 1292, 1741, 21931, 197, 3340, 120, 3138, 186, 3471, 2214, 1496, 8391, 11149, 120, 3138, 2086, 11818, 1518, 16561, 1810, 1518, 2528, 1219, 2296, 1167, 8471, 11322, 120, 3138, 16497, 106, 150, 1392, 16872, 9321, 1292, 1741, 1518, 1392, 16872, 3471, 2214, 1496, 8471, 1331, 182, 1167, 2460, 1193, 3291, 116, 106, 152, 7490, 7348, 4379, 1347, 9321, 1292, 1741, 4736, 189, 7348, 4379, 1347, 3471, 2214, 1496, 2571, 7490, 1167, 21825, 7490, 116, 106, 3681, 1433, 185, 10516, 1569, 9321, 1292, 1741, 2068, 1433, 185, 10516, 1569, 3471, 2214, 1496, 4046, 1512, 173, 6234, 1198, 2215, 1233, 2215, 3683, 1173, 9552, 182, 3551, 1203, 22429, 1518, 5834, 16604, 182, 1569, 1167, 1518, 1265, 4424, 116, 106, 158, 1132, 1174, 1132, 2461, 9321, 1292, 1741, 5308, 1174, 1132, 2461, 3471, 2214, 1496, 11818, 7224, 1371, 5544, 24865, 12504, 257, 11216, 1518, 9981, 7480, 5661, 21931, 197, 3340, 3551, 1242, 1154, 5544, 21931, 197, 3340, 3984, 6945, 1167, 488, 124, 128, 1321, 2215, 116, 106, 159, 1494, 1518, 1140, 9321, 1292, 1741, 2460, 26311, 1233, 2215, 1128, 3471, 2214, 1496, 1645, 172, 21931, 197, 3340, 119, 15292, 2114, 21931, 3291, 3340, 1167, 26829, 1124, 1108, 12210, 116, 106, 106, 10853, 488, 106, 106, 160, 197, 8408, 32001, 488, 106, 2 ]
[ 1, 32000, 2935, 106, 4067, 1393, 1110, 18676, 7667, 4974, 32001, 488, 106, 32000, 3592, 106, 5330, 27785, 1413, 3737, 1163, 1360, 4928, 1257, 488, 106, 140, 2227, 16377, 23854, 1239, 1135, 16632, 1161, 1110, 7803, 1644, 15665, 1449, 1110, 8181, 1644, 3111, 2536, 1296, 2722, 1217, 189, 1861, 4148, 31724, 5769, 3111, 1175, 156, 2275, 116, 1329, 2708, 1483, 2460, 4913, 9996, 1149, 4497, 158, 150, 1576, 1410, 16632, 1239, 1147, 1110, 2197, 30133, 23854, 2468, 1135, 25423, 12351, 1135, 5353, 19620, 1355, 1135, 8113, 7773, 19934, 2299, 5996, 1410, 4153, 1147, 1135, 5353, 19620, 1393, 1135, 5521, 1161, 1135, 8113, 190, 4143, 1355, 1302, 3013, 14068, 1446, 1135, 20038, 2392, 106, 9460, 16377, 2172, 19418, 1903, 1526, 1280, 2629, 1163, 13218, 1135, 2262, 1161, 1597, 3823, 1329, 2328, 27108, 1147, 1110, 2191, 3850, 106, 106, 11730, 3714, 1149, 1110, 8113, 1296, 1110, 5353, 2149, 8647, 1226, 14841, 1149, 2019, 3887, 3471, 1180, 1314, 116, 1171, 5604, 5528, 3615, 1314, 116, 1910, 1297, 1192, 8113, 1526, 10673, 1280, 1809, 10966, 1449, 20038, 2267, 2197, 1734, 11536, 1161, 1135, 2994, 18383, 1324, 2484, 8898, 1297, 5375, 1734, 11536, 1393, 2491, 4494, 18592, 189, 1861, 1734, 1164, 2996, 1192, 1736, 3331, 1129, 15698, 1121, 1239, 4554, 1163, 7064, 4704, 1125, 3880, 13355, 2484, 8898, 1297, 1410, 25851, 1161, 8090, 4459, 20038, 2267, 2197, 1734, 11536, 14205, 1135, 12075, 1161, 18592, 189, 1861, 20038, 2392, 1459, 8093, 9243, 4913, 3217, 2064, 1135, 8093, 1161, 1135, 20038, 2267, 8113, 1239, 1135, 8093, 1161, 1135, 1734, 2408, 29054, 106, 106, 1598, 2197, 13816, 1161, 1110, 8113, 6762, 1296, 1110, 5353, 2149, 1526, 1280, 11685, 2928, 1147, 1110, 21013, 2935, 1324, 1135, 3887, 8898, 1296, 1135, 1522, 2865, 24418, 11903, 120, 2012, 3366, 1329, 17051, 120, 27759, 3107, 1171, 1135, 5604, 5528, 8898, 1296, 1135, 7151, 1230, 1175, 156, 120, 2012, 3366, 1329, 17051, 18592, 189, 1861, 6012, 27951, 1149, 1543, 8113, 190, 1355, 1110, 3397, 12226, 1147, 1413, 21013, 2935, 10014, 4038, 1135, 2227, 16377, 23854, 121, 1410, 4153, 1147, 1110, 2227, 16377, 23854, 1393, 4494, 2227, 16377, 27536, 3842, 1830, 1110, 2142, 1161, 1644, 3111, 8113, 190, 1446, 1135, 8113, 18702, 1219, 4746, 106, 106, 140, 23854, 1161, 1135, 16022, 11326, 1226, 1110, 3397, 1644, 3111, 2262, 1526, 1959, 1280, 4494, 1110, 2227, 16377, 23854, 121, 1988, 1239, 1151, 4072, 1161, 1135, 1644, 3111, 29054, 1410, 3319, 12031, 3037, 1239, 1226, 1151, 488, 131, 3486, 158, 150, 1644, 3111, 1175, 8098, 1293, 2091, 25480, 1576, 106, 106, 6198, 23316, 1162, 106, 5395, 30599, 119, 1135, 1125, 3880, 23843, 5664, 2252, 1135, 6971, 8113, 1297, 5375, 8113, 190, 2277, 1537, 2023, 28781, 1156, 1449, 1135, 10305, 1329, 1135, 28665, 8300, 1175, 1217, 1331, 1761, 7502, 17945, 21775, 1579, 8222, 2328, 1121, 12732, 8093, 1579, 8222, 1597, 3823, 1576, 1988, 2491, 28481, 1135, 2151, 1238, 1135, 2227, 16377, 23854, 31670, 9512, 7375, 1161, 1254, 1308, 28771, 1119, 6477, 116, 1163, 1135, 6971, 8113, 121, 1192, 8113, 4085, 1583, 11148, 1411, 1135, 28781, 2339, 4262, 1341, 1163, 1280, 19618, 1163, 4129, 2151, 1238, 1135, 23854, 121, 106, 106, 5318, 2701, 1239, 4494, 5146, 5168, 25506, 20859, 121, 1410, 2227, 16377, 23854, 8647, 1413, 2701, 1163, 1280, 10664, 11685, 2928, 121, 2728, 1135, 6971, 8113, 1239, 1151, 13673, 189, 12679, 15138, 2151, 1147, 1135, 1209, 120, 156, 21013, 16462, 1135, 7450, 1526, 1280, 3062, 1449, 5752, 1355, 1135, 16022, 2151, 1238, 1135, 23854, 1302, 1239, 4920, 17778, 106, 106, 3857, 5558, 17744, 1135, 6159, 1161, 1135, 6971, 2191, 2726, 1135, 2227, 16377, 23854, 1526, 17708, 3259, 4841, 1161, 2328, 1121, 12732, 1226, 3319, 133, 106, 120, 17945, 21775, 19987, 133, 1135, 2227, 16377, 4153, 1830, 1110, 1166, 16778, 134, 106, 120, 8571, 2308, 2562, 1107, 1129, 3935, 2874, 27707, 1597, 3823, 12963, 1296, 5405, 1328, 7218, 1161, 4153, 134, 106, 120, 2708, 1483, 19987, 1239, 5080, 2928, 1449, 1110, 23854, 9576, 2267, 3575, 1135, 3425, 134, 106, 120, 11268, 1132, 26840, 14153, 3409, 1161, 1675, 31724, 3572, 25422, 116, 5385, 1147, 1135, 1947, 8875, 1161, 1135, 23854, 10950, 19618, 1163, 1135, 8302, 7919, 23854, 10371, 7094, 1156, 1576, 106, 106, 1598, 2227, 16377, 23854, 8647, 21034, 172, 6670, 1163, 2216, 1526, 1280, 6332, 1324, 1151, 14194, 23854, 1147, 1135, 2464, 1161, 1110, 1704, 30133, 7803, 1163, 1280, 11685, 2928, 121, 1410, 14194, 23854, 1526, 1161, 4235, 1280, 2629, 1147, 1135, 2464, 1161, 5353, 1644, 3111, 1285, 1663, 1163, 7744, 2017, 7828, 3615, 2547, 1296, 1907, 1225, 10574, 116, 1329, 1163, 2795, 1135, 11430, 7803, 14068, 1446, 1135, 20038, 2392, 106, 25226, 2531, 7803, 1644, 3111, 106, 9460, 1488, 2392, 32001, 488, 106, 32000, 20036, 106, 2029, 23854, 1232, 1125, 2227, 16377, 1299, 1158, 18048, 2335, 7803, 1644, 10898, 1215, 1318, 1644, 3111, 7236, 1856, 1158, 1644, 3111, 12573, 31724, 1186, 18592, 189, 1861, 1175, 156, 2275, 116, 1362, 1158, 1644, 3111, 1215, 20742, 190, 1125, 8093, 4497, 158, 150, 1576, 1643, 18048, 1281, 18381, 1313, 1189, 23854, 1232, 3260, 2065, 10987, 4930, 2487, 1207, 25423, 3338, 11418, 1129, 1170, 2678, 18836, 1571, 2299, 1701, 1304, 7197, 20765, 31621, 1197, 8113, 1457, 1808, 4153, 1313, 1170, 2678, 18836, 1508, 1207, 5521, 1197, 17539, 4042, 14147, 1188, 3371, 12226, 7798, 20018, 1125, 1158, 20038, 2392, 106, 4455, 23854, 1623, 1125, 2227, 16377, 2830, 1823, 8337, 1256, 10311, 1170, 2262, 1197, 1597, 3388, 1362, 1125, 1158, 2328, 1500, 1231, 1313, 1189, 2191, 3850, 106, 106, 1891, 30585, 1107, 1189, 27187, 1856, 1189, 2510, 18836, 2856, 11697, 3993, 1229, 1207, 5737, 1338, 1717, 3471, 1180, 1109, 1153, 116, 1167, 19649, 1690, 3615, 1109, 1153, 1576, 1814, 27187, 1915, 2774, 1823, 22264, 1186, 20038, 1199, 2069, 4665, 3027, 1125, 2076, 23897, 1469, 2008, 3647, 28856, 2502, 1207, 16240, 3042, 4665, 3027, 1186, 18592, 189, 1861, 121, 1814, 18687, 1836, 19216, 1129, 1299, 10580, 1125, 3175, 1259, 5626, 11660, 2537, 2008, 3647, 28856, 1548, 9316, 1357, 13299, 1188, 1644, 5626, 12009, 3280, 2069, 4665, 3027, 10845, 1158, 2989, 1125, 1158, 1644, 3111, 1186, 18592, 189, 1861, 121, 1653, 8093, 9243, 4913, 3217, 1149, 1158, 8093, 1227, 27187, 20038, 1199, 1299, 1158, 8093, 1125, 1158, 4665, 1632, 18901, 121, 106, 106, 4455, 2069, 3647, 2972, 2335, 27187, 4766, 1856, 1189, 2510, 18836, 2830, 1823, 24346, 1790, 1473, 1313, 1189, 4367, 1125, 18168, 1469, 1856, 1522, 2865, 2202, 1158, 3647, 2009, 17291, 1175, 24822, 1197, 19523, 1362, 1606, 1186, 120, 27759, 15198, 1167, 1856, 3864, 12115, 1158, 3647, 2009, 5604, 10964, 1175, 24822, 1197, 1787, 119, 1362, 1606, 1186, 18592, 189, 1861, 1524, 1576, 30315, 9933, 1197, 17539, 4042, 1188, 1189, 12226, 7798, 1313, 1440, 4367, 1125, 18168, 10845, 1170, 23854, 1232, 1125, 2227, 1488, 2392, 1808, 4153, 1313, 1189, 23854, 1232, 1125, 2227, 16377, 1508, 26956, 4153, 1125, 2227, 1488, 2392, 4651, 16786, 1189, 6231, 1125, 17539, 4042, 1125, 1644, 3111, 7630, 1282, 17485, 25563, 1197, 8113, 1457, 106, 106, 2029, 23854, 1232, 1197, 11326, 8112, 2137, 1256, 1189, 2262, 1125, 1644, 3111, 7798, 1915, 2072, 1823, 13348, 23854, 1232, 1125, 2227, 1488, 2392, 6053, 1318, 4072, 1125, 1158, 1644, 3111, 18901, 121, 2576, 1398, 8943, 14268, 4162, 1299, 1256, 1318, 1644, 3111, 488, 131, 3486, 158, 150, 17877, 9689, 2335, 2579, 1125, 1293, 2091, 1576, 106, 106, 6198, 24913, 106, 106, 216, 1158, 10420, 1170, 3175, 1259, 1203, 1793, 24175, 1207, 17539, 4042, 7810, 6637, 4466, 17539, 4042, 2830, 2782, 1913, 23551, 1234, 1215, 1170, 21817, 1362, 1170, 1338, 3423, 1836, 10028, 1175, 2266, 1635, 7207, 1185, 172, 1908, 1108, 1464, 1331, 19429, 2328, 1500, 4986, 19614, 1125, 8093, 119, 1597, 3388, 1576, 1768, 18515, 3042, 1170, 2151, 1170, 1408, 9993, 22282, 4061, 1125, 1158, 6477, 1184, 1308, 183, 1176, 3556, 116, 1227, 23854, 1232, 1125, 2227, 16377, 1357, 4113, 1317, 27187, 8217, 121, 3559, 15697, 1125, 27187, 3851, 31127, 1995, 1207, 23551, 1430, 4256, 3365, 1281, 29828, 2335, 3419, 2151, 1227, 23854, 12640, 106, 106, 20363, 7619, 1299, 13348, 31726, 1215, 10179, 1227, 5146, 1125, 23278, 25897, 8602, 1548, 23854, 1232, 1125, 2227, 16377, 2856, 1125, 24346, 9024, 24456, 2537, 1440, 2701, 6637, 3066, 1170, 27187, 8217, 1299, 1189, 2151, 13673, 27635, 12352, 1313, 1170, 4367, 1125, 18168, 1209, 120, 156, 1158, 5442, 1915, 1823, 5552, 1186, 4051, 1199, 1170, 2151, 1227, 23854, 1232, 15259, 1357, 18449, 29828, 1170, 18962, 106, 106, 1686, 4989, 1199, 1158, 3707, 1227, 7803, 8217, 1170, 23854, 1232, 1125, 2227, 16377, 2856, 1125, 4271, 1186, 23677, 1207, 5542, 4841, 1125, 2328, 1500, 4986, 1215, 4070, 1257, 106, 19614, 1185, 172, 1908, 1108, 1257, 1207, 4153, 1125, 1158, 2227, 16377, 30139, 1189, 1166, 16778, 2040, 106, 1197, 1597, 3388, 1691, 186, 23897, 2081, 19216, 3515, 19205, 1856, 1197, 19291, 1328, 1188, 1158, 2320, 1197, 4153, 2040, 106, 1170, 19614, 1125, 8093, 1281, 20675, 1439, 1215, 1189, 23854, 1232, 1186, 20415, 6365, 1125, 21839, 2040, 106, 1158, 26840, 1227, 7803, 1175, 1568, 3409, 1125, 3871, 174, 25422, 12573, 31724, 116, 1281, 18583, 1215, 1207, 15901, 1227, 23854, 1232, 1357, 1281, 23071, 16544, 1227, 4779, 13037, 23854, 1232, 2368, 2677, 1414, 1123, 1576, 106, 106, 2606, 23854, 1232, 1125, 2227, 16377, 2856, 1125, 24346, 9024, 1197, 13845, 9536, 13982, 1188, 1440, 1357, 1915, 1823, 6590, 4855, 1317, 23854, 1232, 1125, 1282, 26131, 1313, 1170, 2015, 2335, 7803, 1691, 186, 2065, 10987, 4930, 121, 1548, 23854, 1232, 1125, 1282, 26131, 1915, 1906, 7648, 1823, 5162, 1313, 1170, 2015, 1197, 1644, 9334, 25476, 1723, 1256, 20594, 5610, 3828, 1392, 17043, 1185, 11636, 3788, 1345, 2340, 1215, 4070, 116, 1362, 1906, 3775, 1170, 7803, 5491, 20018, 1125, 1158, 20038, 2392, 106, 106, 5602, 3111, 7236, 1227, 7803, 106, 9460, 16377, 32001, 488, 106, 2 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, -100, 106, 2029, 23854, 1232, 1125, 2227, 16377, 1299, 1158, 18048, 2335, 7803, 1644, 10898, 1215, 1318, 1644, 3111, 7236, 1856, 1158, 1644, 3111, 12573, 31724, 1186, 18592, 189, 1861, 1175, 156, 2275, 116, 1362, 1158, 1644, 3111, 1215, 20742, 190, 1125, 8093, 4497, 158, 150, 1576, 1643, 18048, 1281, 18381, 1313, 1189, 23854, 1232, 3260, 2065, 10987, 4930, 2487, 1207, 25423, 3338, 11418, 1129, 1170, 2678, 18836, 1571, 2299, 1701, 1304, 7197, 20765, 31621, 1197, 8113, 1457, 1808, 4153, 1313, 1170, 2678, 18836, 1508, 1207, 5521, 1197, 17539, 4042, 14147, 1188, 3371, 12226, 7798, 20018, 1125, 1158, 20038, 2392, 106, 4455, 23854, 1623, 1125, 2227, 16377, 2830, 1823, 8337, 1256, 10311, 1170, 2262, 1197, 1597, 3388, 1362, 1125, 1158, 2328, 1500, 1231, 1313, 1189, 2191, 3850, 106, 106, 1891, 30585, 1107, 1189, 27187, 1856, 1189, 2510, 18836, 2856, 11697, 3993, 1229, 1207, 5737, 1338, 1717, 3471, 1180, 1109, 1153, 116, 1167, 19649, 1690, 3615, 1109, 1153, 1576, 1814, 27187, 1915, 2774, 1823, 22264, 1186, 20038, 1199, 2069, 4665, 3027, 1125, 2076, 23897, 1469, 2008, 3647, 28856, 2502, 1207, 16240, 3042, 4665, 3027, 1186, 18592, 189, 1861, 121, 1814, 18687, 1836, 19216, 1129, 1299, 10580, 1125, 3175, 1259, 5626, 11660, 2537, 2008, 3647, 28856, 1548, 9316, 1357, 13299, 1188, 1644, 5626, 12009, 3280, 2069, 4665, 3027, 10845, 1158, 2989, 1125, 1158, 1644, 3111, 1186, 18592, 189, 1861, 121, 1653, 8093, 9243, 4913, 3217, 1149, 1158, 8093, 1227, 27187, 20038, 1199, 1299, 1158, 8093, 1125, 1158, 4665, 1632, 18901, 121, 106, 106, 4455, 2069, 3647, 2972, 2335, 27187, 4766, 1856, 1189, 2510, 18836, 2830, 1823, 24346, 1790, 1473, 1313, 1189, 4367, 1125, 18168, 1469, 1856, 1522, 2865, 2202, 1158, 3647, 2009, 17291, 1175, 24822, 1197, 19523, 1362, 1606, 1186, 120, 27759, 15198, 1167, 1856, 3864, 12115, 1158, 3647, 2009, 5604, 10964, 1175, 24822, 1197, 1787, 119, 1362, 1606, 1186, 18592, 189, 1861, 1524, 1576, 30315, 9933, 1197, 17539, 4042, 1188, 1189, 12226, 7798, 1313, 1440, 4367, 1125, 18168, 10845, 1170, 23854, 1232, 1125, 2227, 1488, 2392, 1808, 4153, 1313, 1189, 23854, 1232, 1125, 2227, 16377, 1508, 26956, 4153, 1125, 2227, 1488, 2392, 4651, 16786, 1189, 6231, 1125, 17539, 4042, 1125, 1644, 3111, 7630, 1282, 17485, 25563, 1197, 8113, 1457, 106, 106, 2029, 23854, 1232, 1197, 11326, 8112, 2137, 1256, 1189, 2262, 1125, 1644, 3111, 7798, 1915, 2072, 1823, 13348, 23854, 1232, 1125, 2227, 1488, 2392, 6053, 1318, 4072, 1125, 1158, 1644, 3111, 18901, 121, 2576, 1398, 8943, 14268, 4162, 1299, 1256, 1318, 1644, 3111, 488, 131, 3486, 158, 150, 17877, 9689, 2335, 2579, 1125, 1293, 2091, 1576, 106, 106, 6198, 24913, 106, 106, 216, 1158, 10420, 1170, 3175, 1259, 1203, 1793, 24175, 1207, 17539, 4042, 7810, 6637, 4466, 17539, 4042, 2830, 2782, 1913, 23551, 1234, 1215, 1170, 21817, 1362, 1170, 1338, 3423, 1836, 10028, 1175, 2266, 1635, 7207, 1185, 172, 1908, 1108, 1464, 1331, 19429, 2328, 1500, 4986, 19614, 1125, 8093, 119, 1597, 3388, 1576, 1768, 18515, 3042, 1170, 2151, 1170, 1408, 9993, 22282, 4061, 1125, 1158, 6477, 1184, 1308, 183, 1176, 3556, 116, 1227, 23854, 1232, 1125, 2227, 16377, 1357, 4113, 1317, 27187, 8217, 121, 3559, 15697, 1125, 27187, 3851, 31127, 1995, 1207, 23551, 1430, 4256, 3365, 1281, 29828, 2335, 3419, 2151, 1227, 23854, 12640, 106, 106, 20363, 7619, 1299, 13348, 31726, 1215, 10179, 1227, 5146, 1125, 23278, 25897, 8602, 1548, 23854, 1232, 1125, 2227, 16377, 2856, 1125, 24346, 9024, 24456, 2537, 1440, 2701, 6637, 3066, 1170, 27187, 8217, 1299, 1189, 2151, 13673, 27635, 12352, 1313, 1170, 4367, 1125, 18168, 1209, 120, 156, 1158, 5442, 1915, 1823, 5552, 1186, 4051, 1199, 1170, 2151, 1227, 23854, 1232, 15259, 1357, 18449, 29828, 1170, 18962, 106, 106, 1686, 4989, 1199, 1158, 3707, 1227, 7803, 8217, 1170, 23854, 1232, 1125, 2227, 16377, 2856, 1125, 4271, 1186, 23677, 1207, 5542, 4841, 1125, 2328, 1500, 4986, 1215, 4070, 1257, 106, 19614, 1185, 172, 1908, 1108, 1257, 1207, 4153, 1125, 1158, 2227, 16377, 30139, 1189, 1166, 16778, 2040, 106, 1197, 1597, 3388, 1691, 186, 23897, 2081, 19216, 3515, 19205, 1856, 1197, 19291, 1328, 1188, 1158, 2320, 1197, 4153, 2040, 106, 1170, 19614, 1125, 8093, 1281, 20675, 1439, 1215, 1189, 23854, 1232, 1186, 20415, 6365, 1125, 21839, 2040, 106, 1158, 26840, 1227, 7803, 1175, 1568, 3409, 1125, 3871, 174, 25422, 12573, 31724, 116, 1281, 18583, 1215, 1207, 15901, 1227, 23854, 1232, 1357, 1281, 23071, 16544, 1227, 4779, 13037, 23854, 1232, 2368, 2677, 1414, 1123, 1576, 106, 106, 2606, 23854, 1232, 1125, 2227, 16377, 2856, 1125, 24346, 9024, 1197, 13845, 9536, 13982, 1188, 1440, 1357, 1915, 1823, 6590, 4855, 1317, 23854, 1232, 1125, 1282, 26131, 1313, 1170, 2015, 2335, 7803, 1691, 186, 2065, 10987, 4930, 121, 1548, 23854, 1232, 1125, 1282, 26131, 1915, 1906, 7648, 1823, 5162, 1313, 1170, 2015, 1197, 1644, 9334, 25476, 1723, 1256, 20594, 5610, 3828, 1392, 17043, 1185, 11636, 3788, 1345, 2340, 1215, 4070, 116, 1362, 1906, 3775, 1170, 7803, 5491, 20018, 1125, 1158, 20038, 2392, 106, 106, 5602, 3111, 7236, 1227, 7803, 106, 9460, 16377, 32001, 488, 106, 2 ]