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 1913, 1865, 1889, -1, 1462, 1784, 1766, -1, 1314, 1813, 1915, -1,
 1915, 1813, 1843, -1, 1843, 1867, 1915, -1, 1915, 1867, 1891, -1,
 1915, 1891, 1906, -1, 1886, 1862, 1910, -1, 1910, 1862, 1838, -1,
 1910, 1838, 1462, -1, 1462, 1838, 1808, -1, 1462, 1808, 1784, -1,
 1766, 1785, 1520, -1, 1905, 1888, 1912, -1, 1912, 1888, 1864, -1,
 1912, 1864, 1697, -1, 1906, 1890, 1914, -1, 1914, 1890, 1866, -1,
 1914, 1866, 1699, -1, 1809, 1696, 1785, -1, 1785, 1696, 1584, -1,
 1785, 1584, 1520, -1, 1766, 1520, 1462, -1, 1462, 1520, 1504, -1,
 1462, 1504, 1463, -1, 1504, 1505, 1463, -1, 1463, 1505, 1521, -1,
 1463, 1521, 1452, -1, 1864, 1840, 1697, -1, 1697, 1840, 1810, -1,
 1697, 1810, 1585, -1, 1585, 1810, 1786, -1, 1698, 1586, 1435, -1,
 1788, 1768, 1314, -1, 1314, 1768, 1789, -1, 1314, 1789, 1813, -1,
 1811, 1698, 1787, -1, 1787, 1698, 1435, -1, 1787, 1435, 1767, -1,
 1767, 1435, 1452, -1, 1767, 1452, 1786, -1, 1786, 1452, 1521, -1,
 1786, 1521, 1585, -1, 1586, 1522, 1435, -1, 1435, 1522, 1506, -1,
 1435, 1506, 1314, -1, 1866, 1842, 1699, -1, 1699, 1842, 1812, -1,
 1699, 1812, 1587, -1, 1587, 1812, 1788, -1, 1587, 1788, 1523, -1,
 1523, 1788, 1314, -1, 1523, 1314, 1507, -1, 1507, 1314, 1506, -1,
 2209, 2208, 2221, -1, 2221, 2208, 2220, -1, 2207, 2206, 2219, -1,
 2219, 2206, 2218, -1, 1338, 1336, 1262, -1, 1338, 1262, 1264, -1,
 1264, 1262, 1179, -1, 1264, 1179, 1181, -1, 1181, 1179, 1159, -1,
 1181, 1159, 1161, -1, 1161, 1159, 1137, -1, 1161, 1137, 1139, -1,
 1139, 1137, 1117, -1, 1139, 1117, 1119, -1, 1119, 1117, 1034, -1,
 1119, 1034, 1036, -1, 1036, 1034, 960, -1, 1036, 960, 962, -1,
 1193, 1197, 1187, -1, 1034, 1117, 1064, -1, 1103, 1107, 1109, -1,
 1109, 1107, 1099, -1, 1109, 1099, 1095, -1, 1260, 1246, 1236, -1,
 1187, 1171, 1159, -1, 1171, 1163, 1159, -1, 1159, 1163, 1147, -1,
 1159, 1147, 1137, -1, 1137, 1147, 1133, -1, 1137, 1133, 1125, -1,
 1125, 1109, 1137, -1, 1137, 1109, 1095, -1, 1137, 1095, 1117, -1,
 1117, 1095, 1091, -1, 1117, 1091, 1064, -1, 1064, 1054, 1034, -1,
 1034, 1054, 1040, -1, 1034, 1040, 960, -1, 960, 1040, 934, -1,
 960, 934, 910, -1, 1388, 1366, 1336, -1, 1336, 1366, 1260, -1,
 1336, 1260, 1262, -1, 1262, 1260, 1236, -1, 1262, 1236, 1179, -1,
 1179, 1236, 1209, -1, 1179, 1209, 1159, -1, 1159, 1209, 1205, -1,
 1159, 1205, 1187, -1, 1187, 1205, 1201, -1, 1187, 1201, 1193, -1,
 1459, 1450, 1385, -1, 1208, 1204, 1269, -1, 1269, 1204, 1200, -1,
 1214, 1213, 1268, -1, 1268, 1284, 1214, -1, 1214, 1284, 1269, -1,
 1214, 1269, 1196, -1, 1196, 1269, 1200, -1, 1196, 1200, 1192, -1,
 1461, 1438, 1421, -1, 1399, 1395, 1403, -1, 1403, 1395, 1387, -1,
 1208, 1269, 1235, -1, 1235, 1269, 1277, -1, 1235, 1277, 1245, -1,
 1245, 1277, 1283, -1, 1245, 1283, 1259, -1, 1259, 1283, 1303, -1,
 1259, 1303, 1365, -1, 1365, 1303, 1434, -1, 1365, 1434, 1386, -1,
 1386, 1434, 1451, -1, 1386, 1451, 1460, -1, 1203, 1207, 1268, -1,
 1268, 1207, 1234, -1, 1268, 1234, 1276, -1, 1276, 1234, 1244, -1,
 1385, 1450, 1364, -1, 1364, 1450, 1433, -1, 1364, 1433, 1258, -1,
 1258, 1433, 1302, -1, 1258, 1302, 1244, -1, 1244, 1302, 1282, -1,
 1244, 1282, 1276, -1, 1394, 1398, 1384, -1, 1384, 1398, 1402, -1,
 1406, 1420, 1437, -1, 1421, 1407, 1461, -1, 1461, 1407, 1403, -1,
 1461, 1403, 1460, -1, 1460, 1403, 1387, -1, 1460, 1387, 1386, -1,
 1437, 1458, 1406, -1, 1406, 1458, 1459, -1, 1406, 1459, 1402, -1,
 1402, 1459, 1385, -1, 1402, 1385, 1384, -1, 1199, 1203, 1191, -1,
 1191, 1203, 1268, -1, 1191, 1268, 1195, -1, 1195, 1268, 1213, -1,
 1462, 1463, 1458, -1, 1458, 1463, 1459, -1, 2217, 2205, 2216, -1,
 2216, 2205, 2204, -1, 1514, 1530, 1426, -1, 1312, 1611, 1531, -1,
 1611, 1312, 1755, -1, 1755, 1312, 1999, -1, 1755, 1999, 1998, -1,
 1609, 1529, 1467, -1, 1995, 1994, 1752, -1, 1752, 1994, 1466, -1,
 1752, 1466, 1608, -1, 1380, 1376, 1372, -1, 1372, 1368, 1380, -1,
 1380, 1368, 1312, -1, 1380, 1312, 1412, -1, 1412, 1312, 1531, -1,
 1412, 1531, 1426, -1, 1426, 1531, 1515, -1, 1426, 1515, 1514, -1,
 1529, 1513, 1467, -1, 1467, 1513, 1512, -1, 1467, 1512, 1466, -1,
 1466, 1512, 1528, -1, 1466, 1528, 1608, -1, 1754, 1997, 1996, -1,
 1996, 1753, 1754, -1, 1754, 1753, 1609, -1, 1754, 1609, 1610, -1,
 1610, 1609, 1467, -1, 1610, 1467, 1530, -1, 1530, 1467, 1443, -1,
 1530, 1443, 1426, -1, 1467, 1466, 1471, -1, 1471, 1466, 1470, -1,
 857, 875, 891, -1, 1211, 1267, 1338, -1, 1446, 1471, 1429, -1,
 1429, 1471, 1391, -1, 1429, 1391, 1415, -1, 1445, 1428, 1470, -1,
 1470, 1428, 1414, -1, 1404, 1400, 1396, -1, 912, 834, 913, -1,
 913, 834, 835, -1, 913, 835, 857, -1, 1396, 1390, 1404, -1,
 1404, 1390, 1391, -1, 1404, 1391, 1414, -1, 1414, 1391, 1471, -1,
 1414, 1471, 1470, -1, 857, 891, 913, -1, 913, 891, 918, -1,
 913, 918, 962, -1, 918, 922, 962, -1, 962, 922, 926, -1,
 962, 926, 930, -1, 1338, 1378, 1391, -1, 1391, 1378, 1382, -1,
 1391, 1382, 1415, -1, 1010, 1026, 1032, -1, 874, 856, 890, -1,
 890, 856, 834, -1, 890, 834, 896, -1, 896, 834, 912, -1,
 896, 912, 900, -1, 900, 912, 904, -1, 1270, 1290, 1267, -1,
 1267, 1290, 1370, -1, 1267, 1370, 1338, -1, 1338, 1370, 1374, -1,
 1338, 1374, 1378, -1, 1149, 1139, 1131, -1, 1131, 1139, 1119, -1,
 1131, 1119, 1115, -1, 1115, 1119, 1036, -1, 1115, 1036, 1087, -1,
 1087, 1036, 962, -1, 1087, 962, 1032, -1, 1032, 962, 930, -1,
 1032, 930, 1010, -1, 1211, 1338, 1183, -1, 1183, 1338, 1264, -1,
 1183, 1264, 1167, -1, 1167, 1264, 1181, -1, 1167, 1181, 1149, -1,
 1149, 1181, 1161, -1, 1149, 1161, 1139, -1, 792, 964, 793, -1,
 793, 964, 1050, -1, 793, 1050, 804, -1, 804, 1050, 808, -1,
 1492, 1493, 1248, -1, 1248, 1493, 1488, -1, 1248, 1488, 1486, -1,
 1492, 1248, 1332, -1, 1332, 1248, 1212, -1, 1332, 1212, 1240, -1,
 1240, 1212, 1184, -1, 1240, 1184, 1175, -1, 1175, 1184, 1168, -1,
 1175, 1168, 1155, -1, 1155, 1168, 1150, -1, 1155, 1150, 1141, -1,
 1141, 1150, 1132, -1, 1141, 1132, 1121, -1, 1121, 1132, 1056, -1,
 1056, 1132, 1116, -1, 1056, 1116, 964, -1, 964, 1116, 1088, -1,
 964, 1088, 1050, -1, 1497, 1493, 1496, -1, 1496, 1493, 1492, -1,
 1496, 1492, 1501, -1, 1501, 1492, 1500, -1, 1298, 1310, 1252, -1,
 1275, 1233, 1299, -1, 1299, 1233, 1253, -1, 1299, 1253, 1311, -1,
 1319, 1311, 1323, -1, 1323, 1311, 1253, -1, 1323, 1253, 1347, -1,
 1347, 1253, 1327, -1, 1347, 1327, 1351, -1, 1351, 1327, 1331, -1,
 1351, 1331, 1355, -1, 1355, 1331, 1343, -1, 1355, 1343, 1359, -1,
 1359, 1343, 1363, -1, 1359, 1363, 1502, -1, 1502, 1363, 1503, -1,
 1298, 1252, 1274, -1, 1274, 1252, 1232, -1, 1274, 1232, 1228, -1,
 1501, 1500, 1358, -1, 1358, 1500, 1362, -1, 1358, 1362, 1354, -1,
 1354, 1362, 1342, -1, 1354, 1342, 1350, -1, 1350, 1342, 1330, -1,
 1350, 1330, 1346, -1, 1346, 1330, 1326, -1, 1346, 1326, 1322, -1,
 1322, 1326, 1252, -1, 1322, 1252, 1318, -1, 1318, 1252, 1310, -1,
 1229, 1233, 1225, -1, 1225, 1233, 1275, -1, 1225, 1275, 1221, -1,
 1221, 1275, 1285, -1, 1221, 1285, 1220, -1, 1220, 1285, 1274, -1,
 1220, 1274, 1224, -1, 1224, 1274, 1228, -1, 1219, 1221, 1218, -1,
 1218, 1221, 1220, -1, 1218, 1220, 1217, -1, 1324, 1328, 1334, -1,
 1334, 1328, 1340, -1, 1334, 1340, 1360, -1, 972, 1046, 1066, -1,
 936, 956, 966, -1, 966, 956, 968, -1, 966, 968, 972, -1,
 1222, 1226, 1334, -1, 1334, 1226, 1230, -1, 1334, 1230, 1324, -1,
 1324, 1230, 1250, -1, 1079, 1085, 1078, -1, 1078, 1085, 1111, -1,
 1078, 1111, 1074, -1, 1074, 1111, 1070, -1, 1111, 1127, 1070, -1,
 1070, 1127, 1143, -1, 1070, 1143, 1066, -1, 1066, 1143, 1123, -1,
 1066, 1123, 972, -1, 972, 1123, 1058, -1, 972, 1058, 966, -1,
 1127, 1135, 1143, -1, 1143, 1135, 1151, -1, 1143, 1151, 1157, -1,
 1157, 1151, 1165, -1, 1218, 1217, 1215, -1, 1215, 1217, 1189, -1,
 1217, 1222, 1189, -1, 1189, 1222, 1334, -1, 1189, 1334, 1173, -1,
 1173, 1334, 1242, -1, 1173, 1242, 1165, -1, 1165, 1242, 1177, -1,
 1165, 1177, 1157, -1, 1402, 1404, 1410, -1, 1410, 1404, 1414, -1,
 1406, 1402, 1408, -1, 1408, 1402, 1410, -1, 1408, 1410, 1946, -1,
 1946, 1410, 1958, -1, 1197, 1195, 1213, -1, 1214, 1196, 1198, -1,
 1083, 1101, 1103, -1, 1086, 1084, 1079, -1, 1079, 1084, 1083, -1,
 1079, 1083, 1085, -1, 1085, 1083, 1103, -1, 1085, 1103, 1111, -1,
 1111, 1103, 1109, -1, 1111, 1109, 1127, -1, 1127, 1109, 1125, -1,
 1127, 1125, 1135, -1, 1135, 1125, 1133, -1, 1135, 1133, 1151, -1,
 1151, 1133, 1147, -1, 1151, 1147, 1165, -1, 1165, 1147, 1163, -1,
 1165, 1163, 1173, -1, 1173, 1163, 1171, -1, 1173, 1171, 1189, -1,
 1189, 1171, 1187, -1, 1189, 1187, 1215, -1, 1187, 1197, 1215, -1,
 1215, 1197, 1213, -1, 1215, 1213, 1218, -1, 1218, 1213, 1214, -1,
 1218, 1214, 1216, -1, 1216, 1214, 1198, -1, 1216, 1198, 1190, -1,
 1190, 1198, 1188, -1, 1190, 1188, 1174, -1, 1174, 1188, 1172, -1,
 1174, 1172, 1166, -1, 1166, 1172, 1164, -1, 1166, 1164, 1152, -1,
 1152, 1164, 1148, -1, 1152, 1148, 1136, -1, 1136, 1148, 1134, -1,
 1136, 1134, 1128, -1, 1128, 1134, 1126, -1, 1128, 1126, 1112, -1,
 1112, 1126, 1110, -1, 1112, 1110, 1086, -1, 1086, 1110, 1104, -1,
 1086, 1104, 1084, -1, 1084, 1104, 1102, -1, 1391, 1390, 1388, -1,
 1388, 1390, 1384, -1, 1388, 1384, 1385, -1, 1388, 1385, 1366, -1,
 1366, 1385, 1364, -1, 1026, 1024, 1014, -1, 1271, 1269, 1284, -1,
 1285, 1275, 1273, -1, 1257, 1255, 1271, -1, 1271, 1255, 1249, -1,
 1271, 1249, 1238, -1, 1268, 1270, 1284, -1, 1284, 1270, 1285, -1,
 1284, 1285, 1271, -1, 1271, 1285, 1273, -1, 1271, 1273, 1257, -1,
 1249, 1239, 1238, -1, 1238, 1239, 1186, -1, 1238, 1186, 1185, -1,
 1185, 1186, 1170, -1, 1185, 1170, 1169, -1, 1169, 1170, 1154, -1,
 1169, 1154, 1153, -1, 1153, 1154, 1146, -1, 1153, 1146, 1145, -1,
 1145, 1146, 1130, -1, 1145, 1130, 1129, -1, 1129, 1130, 1114, -1,
 1129, 1114, 1113, -1, 1113, 1114, 1061, -1, 1113, 1061, 1060, -1,
 1060, 1061, 1027, -1, 1027, 1061, 1051, -1, 1027, 1051, 1045, -1,
 1031, 1015, 1029, -1, 1029, 1015, 1027, -1, 1029, 1027, 1043, -1,
 1043, 1027, 1045, -1, 1015, 1030, 1028, -1, 1025, 1027, 1014, -1,
 1014, 1027, 1015, -1, 1014, 1015, 1026, -1, 1026, 1015, 1028, -1,
 1026, 1028, 1032, -1, 1032, 1028, 1033, -1, 1032, 1033, 1042, -1,
 1042, 1044, 1032, -1, 1032, 1044, 1050, -1, 1032, 1050, 1087, -1,
 1050, 1088, 1087, -1, 1087, 1088, 1116, -1, 1087, 1116, 1115, -1,
 1115, 1116, 1132, -1, 1115, 1132, 1131, -1, 1131, 1132, 1150, -1,
 1131, 1150, 1149, -1, 1149, 1150, 1168, -1, 1149, 1168, 1167, -1,
 1167, 1168, 1184, -1, 1167, 1184, 1183, -1, 1183, 1184, 1212, -1,
 1183, 1212, 1211, -1, 1211, 1212, 1267, -1, 1267, 1212, 1248, -1,
 1267, 1248, 1254, -1, 1274, 1285, 1272, -1, 1272, 1285, 1270, -1,
 1272, 1270, 1266, -1, 1266, 1270, 1267, -1, 1266, 1267, 1256, -1,
 1256, 1267, 1254, -1, 1296, 1298, 1272, -1, 1272, 1298, 1274, -1,
 1270, 1268, 1278, -1, 1278, 1268, 1276, -1, 1290, 1270, 1288, -1,
 1288, 1270, 1278, -1, 1288, 1278, 1963, -1, 1963, 1278, 1951, -1,
 1306, 1304, 1302, -1, 1433, 1435, 1302, -1, 1302, 1435, 1314, -1,
 1302, 1314, 1306, -1, 1209, 1236, 1207, -1, 1207, 1236, 1234, -1,
 1260, 1366, 1258, -1, 1258, 1366, 1364, -1, 1948, 1721, 1960, -1,
 1960, 1721, 1729, -1, 1593, 1592, 1601, -1, 1601, 1592, 1600, -1,
 1720, 1947, 1728, -1, 1728, 1947, 1959, -1, 1950, 1723, 1962, -1,
 1962, 1723, 1731, -1, 1602, 1603, 1594, -1, 1594, 1603, 1595, -1,
 1722, 1949, 1730, -1, 1730, 1949, 1961, -1, 1838, 1796, 1808, -1,
 1808, 1796, 1772, -1, 1808, 1772, 1784, -1, 1784, 1772, 1760, -1,
 1784, 1760, 1766, -1, 1766, 1760, 1773, -1, 1766, 1773, 1785, -1,
 1785, 1773, 1797, -1, 1785, 1797, 1809, -1, 1809, 1797, 1822, -1,
 1809, 1822, 1839, -1, 1839, 1822, 1851, -1, 1839, 1851, 1863, -1,
 1863, 1851, 1875, -1, 1863, 1875, 1887, -1, 1887, 1875, 1898, -1,
 1887, 1898, 1904, -1, 1904, 1898, 1874, -1, 1904, 1874, 1886, -1,
 1886, 1874, 1850, -1, 1886, 1850, 1862, -1, 1862, 1850, 1820, -1,
 1862, 1820, 1838, -1, 1838, 1820, 1796, -1, 1875, 1851, 1821, -1,
 1821, 1851, 1822, -1, 1821, 1822, 1797, -1, 1850, 1874, 1821, -1,
 1821, 1874, 1898, -1, 1821, 1898, 1875, -1, 1772, 1796, 1821, -1,
 1821, 1796, 1820, -1, 1821, 1820, 1850, -1, 1797, 1773, 1821, -1,
 1821, 1773, 1760, -1, 1821, 1760, 1772, -1, 1840, 1798, 1810, -1,
 1810, 1798, 1774, -1, 1810, 1774, 1786, -1, 1786, 1774, 1761, -1,
 1786, 1761, 1767, -1, 1767, 1761, 1775, -1, 1767, 1775, 1787, -1,
 1787, 1775, 1799, -1, 1787, 1799, 1811, -1, 1811, 1799, 1825, -1,
 1811, 1825, 1841, -1, 1841, 1825, 1853, -1, 1841, 1853, 1865, -1,
 1865, 1853, 1877, -1, 1865, 1877, 1889, -1, 1889, 1877, 1899, -1,
 1889, 1899, 1905, -1, 1905, 1899, 1876, -1, 1905, 1876, 1888, -1,
 1888, 1876, 1852, -1, 1888, 1852, 1864, -1, 1864, 1852, 1823, -1,
 1864, 1823, 1840, -1, 1840, 1823, 1798, -1, 1877, 1853, 1824, -1,
 1824, 1853, 1825, -1, 1824, 1825, 1799, -1, 1852, 1876, 1824, -1,
 1824, 1876, 1899, -1, 1824, 1899, 1877, -1, 1774, 1798, 1824, -1,
 1824, 1798, 1823, -1, 1824, 1823, 1852, -1, 1799, 1775, 1824, -1,
 1824, 1775, 1761, -1, 1824, 1761, 1774, -1, 1842, 1800, 1812, -1,
 1812, 1800, 1776, -1, 1812, 1776, 1788, -1, 1788, 1776, 1762, -1,
 1788, 1762, 1768, -1, 1768, 1762, 1777, -1, 1768, 1777, 1789, -1,
 1789, 1777, 1801, -1, 1789, 1801, 1813, -1, 1813, 1801, 1828, -1,
 1813, 1828, 1843, -1, 1843, 1828, 1855, -1, 1843, 1855, 1867, -1,
 1867, 1855, 1879, -1, 1867, 1879, 1891, -1, 1891, 1879, 1900, -1,
 1891, 1900, 1906, -1, 1906, 1900, 1878, -1, 1906, 1878, 1890, -1,
 1890, 1878, 1854, -1, 1890, 1854, 1866, -1, 1866, 1854, 1826, -1,
 1866, 1826, 1842, -1, 1842, 1826, 1800, -1, 1879, 1855, 1827, -1,
 1827, 1855, 1828, -1, 1827, 1828, 1801, -1, 1854, 1878, 1827, -1,
 1827, 1878, 1900, -1, 1827, 1900, 1879, -1, 1776, 1800, 1827, -1,
 1827, 1800, 1826, -1, 1827, 1826, 1854, -1, 1801, 1777, 1827, -1,
 1827, 1777, 1762, -1, 1827, 1762, 1776, -1, 1362, 1500, 1360, -1,
 1360, 1500, 1492, -1, 1360, 1492, 1334, -1, 1334, 1492, 1332, -1,
 1324, 1250, 1326, -1, 1326, 1250, 1252, -1, 1232, 1252, 1230, -1,
 1230, 1252, 1250, -1, 1346, 1322, 1344, -1, 1344, 1322, 1320, -1,
 1356, 1496, 1358, -1, 1358, 1496, 1501, -1, 1308, 1296, 1476, -1,
 1308, 1476, 1316, -1, 1344, 1320, 1497, -1, 1484, 1490, 1478, -1,
 1478, 1490, 1497, -1, 1478, 1497, 1476, -1, 1476, 1497, 1320, -1,
 1476, 1320, 1316, -1, 1352, 1348, 1356, -1, 1356, 1348, 1344, -1,
 1356, 1344, 1496, -1, 1496, 1344, 1497, -1, 1294, 1290, 1292, -1,
 1292, 1290, 1288, -1, 1368, 1370, 1312, -1, 1312, 1370, 1290, -1,
 1312, 1290, 1300, -1, 1300, 1290, 1294, -1, 1380, 1412, 1382, -1,
 1382, 1412, 1415, -1, 1391, 1388, 1338, -1, 1338, 1388, 1336, -1,
 1276, 1282, 1278, -1, 1278, 1282, 1280, -1, 1302, 1304, 1282, -1,
 1282, 1304, 1286, -1, 1282, 1286, 1280, -1, 1915, 1927, 1314, -1,
 1314, 1927, 1306, -1, 1306, 1927, 1304, -1, 1304, 1927, 1939, -1,
 1304, 1939, 1286, -1, 1286, 1939, 1280, -1, 1280, 1939, 1951, -1,
 1280, 1951, 1278, -1, 2085, 2159, 2037, -1, 2037, 2159, 2135, -1,
 2037, 2135, 2011, -1, 2011, 2135, 2049, -1, 2011, 2049, 1951, -1,
 2159, 2209, 2135, -1, 2135, 2209, 2171, -1, 2135, 2171, 2049, -1,
 2049, 2171, 2097, -1, 2049, 2097, 1951, -1, 1915, 2085, 1927, -1,
 1927, 2085, 2037, -1, 1927, 2037, 1939, -1, 1939, 2037, 2011, -1,
 1939, 2011, 1951, -1, 1915, 1914, 2084, -1, 1915, 2084, 2085, -1,
 2085, 2084, 2158, -1, 2085, 2158, 2159, -1, 2159, 2158, 2208, -1,
 2159, 2208, 2209, -1, 2209, 2221, 2183, -1, 2209, 2183, 2171, -1,
 2171, 2183, 2109, -1, 2171, 2109, 2097, -1, 2097, 2109, 1963, -1,
 2097, 1963, 1951, -1, 1288, 1963, 1292, -1, 1292, 1963, 1975, -1,
 1292, 1975, 1294, -1, 1294, 1975, 1987, -1, 1294, 1987, 1300, -1,
 1300, 1987, 1999, -1, 1300, 1999, 1312, -1, 1914, 1926, 2036, -1,
 1950, 2096, 2048, -1, 1926, 2010, 2036, -1, 2036, 2010, 2048, -1,
 2036, 2048, 2134, -1, 2134, 2048, 2096, -1, 2134, 2096, 2170, -1,
 1914, 2036, 2084, -1, 2084, 2036, 2134, -1, 2084, 2134, 2158, -1,
 2158, 2134, 2170, -1, 2158, 2170, 2208, -1, 2010, 1950, 2048, -1,
 1926, 1938, 2010, -1, 2010, 1938, 1950, -1, 2195, 2121, 2147, -1,
 2147, 2121, 2073, -1, 2147, 2073, 2061, -1, 2061, 2073, 2023, -1,
 2061, 2023, 1963, -1, 2121, 1999, 2073, -1, 2073, 1999, 1987, -1,
 2073, 1987, 2023, -1, 2023, 1987, 1975, -1, 2023, 1975, 1963, -1,
 2221, 2195, 2183, -1, 2183, 2195, 2147, -1, 2183, 2147, 2109, -1,
 2109, 2147, 2061, -1, 2109, 2061, 1963, -1, 1723, 1950, 1938, -1,
 1723, 1938, 1715, -1, 1715, 1938, 1926, -1, 1715, 1926, 1707, -1,
 1707, 1926, 1914, -1, 1707, 1914, 1699, -1, 1950, 1962, 2108, -1,
 1950, 2108, 2096, -1, 2096, 2108, 2182, -1, 2096, 2182, 2170, -1,
 2170, 2182, 2220, -1, 2170, 2220, 2208, -1, 2221, 2220, 2194, -1,
 2221, 2194, 2195, -1, 2195, 2194, 2120, -1, 2195, 2120, 2121, -1,
 2121, 2120, 1998, -1, 2121, 1998, 1999, -1, 1595, 1635, 1571, -1,
 1571, 1635, 1619, -1, 1571, 1619, 1539, -1, 1539, 1619, 1555, -1,
 1539, 1555, 1507, -1, 1507, 1555, 1523, -1, 1635, 1683, 1619, -1,
 1619, 1683, 1667, -1, 1619, 1667, 1555, -1, 1555, 1667, 1651, -1,
 1555, 1651, 1523, -1, 1523, 1651, 1587, -1, 1683, 1723, 1667, -1,
 1667, 1723, 1715, -1, 1667, 1715, 1651, -1, 1651, 1715, 1707, -1,
 1651, 1707, 1587, -1, 1587, 1707, 1699, -1, 2220, 2182, 2146, -1,
 1962, 1974, 2022, -1, 2182, 2060, 2146, -1, 2146, 2060, 2022, -1,
 2146, 2022, 2072, -1, 2072, 2022, 1974, -1, 2072, 1974, 1986, -1,
 2220, 2146, 2194, -1, 2194, 2146, 2072, -1, 2194, 2072, 2120, -1,
 2120, 2072, 1986, -1, 2120, 1986, 1998, -1, 2060, 1962, 2022, -1,
 2182, 2108, 2060, -1, 2060, 2108, 1962, -1, 1594, 1595, 1571, -1,
 1594, 1571, 1570, -1, 1570, 1571, 1539, -1, 1570, 1539, 1538, -1,
 1538, 1539, 1507, -1, 1538, 1507, 1506, -1, 1595, 1603, 1635, -1,
 1635, 1603, 1643, -1, 1635, 1643, 1683, -1, 1683, 1643, 1691, -1,
 1683, 1691, 1723, -1, 1723, 1691, 1731, -1, 1755, 1998, 1986, -1,
 1755, 1986, 1747, -1, 1747, 1986, 1974, -1, 1747, 1974, 1739, -1,
 1739, 1974, 1962, -1, 1739, 1962, 1731, -1, 1722, 1682, 1714, -1,
 1714, 1682, 1666, -1, 1714, 1666, 1706, -1, 1706, 1666, 1650, -1,
 1706, 1650, 1698, -1, 1698, 1650, 1586, -1, 1682, 1634, 1666, -1,
 1666, 1634, 1618, -1, 1666, 1618, 1650, -1, 1650, 1618, 1554, -1,
 1650, 1554, 1586, -1, 1586, 1554, 1522, -1, 1634, 1594, 1618, -1,
 1618, 1594, 1570, -1, 1618, 1570, 1554, -1, 1554, 1570, 1538, -1,
 1554, 1538, 1522, -1, 1522, 1538, 1506, -1, 1731, 1691, 1739, -1,
 1739, 1691, 1675, -1, 1739, 1675, 1747, -1, 1747, 1675, 1659, -1,
 1747, 1659, 1755, -1, 1755, 1659, 1611, -1, 1691, 1643, 1675, -1,
 1675, 1643, 1627, -1, 1675, 1627, 1659, -1, 1659, 1627, 1563, -1,
 1659, 1563, 1611, -1, 1611, 1563, 1531, -1, 1643, 1603, 1627, -1,
 1627, 1603, 1579, -1, 1627, 1579, 1563, -1, 1563, 1579, 1547, -1,
 1563, 1547, 1531, -1, 1531, 1547, 1515, -1, 1949, 1722, 1714, -1,
 1949, 1714, 1937, -1, 1937, 1714, 1706, -1, 1937, 1706, 1925, -1,
 1925, 1706, 1698, -1, 1925, 1698, 1913, -1, 1722, 1730, 1682, -1,
 1682, 1730, 1690, -1, 1682, 1690, 1634, -1, 1634, 1690, 1642, -1,
 1634, 1642, 1594, -1, 1594, 1642, 1602, -1, 1514, 1515, 1547, -1,
 1514, 1547, 1546, -1, 1546, 1547, 1579, -1, 1546, 1579, 1578, -1,
 1578, 1579, 1603, -1, 1578, 1603, 1602, -1, 1947, 1720, 1712, -1,
 1947, 1712, 1935, -1, 1935, 1712, 1704, -1, 1935, 1704, 1923, -1,
 1923, 1704, 1696, -1, 1923, 1696, 1911, -1, 2083, 2157, 2035, -1,
 2035, 2157, 2133, -1, 2035, 2133, 2009, -1, 2009, 2133, 2047, -1,
 2009, 2047, 1949, -1, 2157, 2207, 2133, -1, 2133, 2207, 2169, -1,
 2133, 2169, 2047, -1, 2047, 2169, 2095, -1, 2047, 2095, 1949, -1,
 1913, 2083, 1925, -1, 1925, 2083, 2035, -1, 1925, 2035, 1937, -1,
 1937, 2035, 2009, -1, 1937, 2009, 1949, -1, 1602, 1642, 1578, -1,
 1578, 1642, 1626, -1, 1578, 1626, 1546, -1, 1546, 1626, 1562, -1,
 1546, 1562, 1514, -1, 1514, 1562, 1530, -1, 1642, 1690, 1626, -1,
 1626, 1690, 1674, -1, 1626, 1674, 1562, -1, 1562, 1674, 1658, -1,
 1562, 1658, 1530, -1, 1530, 1658, 1610, -1, 1690, 1730, 1674, -1,
 1674, 1730, 1738, -1, 1674, 1738, 1658, -1, 1658, 1738, 1746, -1,
 1658, 1746, 1610, -1, 1610, 1746, 1754, -1, 2205, 2217, 2179, -1,
 2205, 2179, 2167, -1, 2167, 2179, 2105, -1, 2167, 2105, 2093, -1,
 2093, 2105, 1959, -1, 2093, 1959, 1947, -1, 1720, 1680, 1712, -1,
 1712, 1680, 1664, -1, 1712, 1664, 1704, -1, 1704, 1664, 1648, -1,
 1704, 1648, 1696, -1, 1696, 1648, 1584, -1, 1680, 1632, 1664, -1,
 1664, 1632, 1616, -1, 1664, 1616, 1648, -1, 1648, 1616, 1552, -1,
 1648, 1552, 1584, -1, 1584, 1552, 1520, -1, 1632, 1592, 1616, -1,
 1616, 1592, 1568, -1, 1616, 1568, 1552, -1, 1552, 1568, 1536, -1,
 1552, 1536, 1520, -1, 1520, 1536, 1504, -1, 1913, 1912, 2082, -1,
 1913, 2082, 2083, -1, 2083, 2082, 2156, -1, 2083, 2156, 2157, -1,
 2157, 2156, 2206, -1, 2157, 2206, 2207, -1, 2207, 2219, 2181, -1,
 2207, 2181, 2169, -1, 2169, 2181, 2107, -1, 2169, 2107, 2095, -1,
 2095, 2107, 1961, -1, 2095, 1961, 1949, -1, 1997, 1754, 1746, -1,
 1997, 1746, 1985, -1, 1985, 1746, 1738, -1, 1985, 1738, 1973, -1,
 1973, 1738, 1730, -1, 1973, 1730, 1961, -1, 1995, 1752, 1744, -1,
 1995, 1744, 1983, -1, 1983, 1744, 1736, -1, 1983, 1736, 1971, -1,
 1971, 1736, 1728, -1, 1971, 1728, 1959, -1, 1720, 1728, 1680, -1,
 1680, 1728, 1688, -1, 1680, 1688, 1632, -1, 1632, 1688, 1640, -1,
 1632, 1640, 1592, -1, 1592, 1640, 1600, -1, 1592, 1593, 1569, -1,
 1592, 1569, 1568, -1, 1568, 1569, 1537, -1, 1568, 1537, 1536, -1,
 1536, 1537, 1505, -1, 1536, 1505, 1504, -1, 1721, 1948, 1936, -1,
 1721, 1936, 1713, -1, 1713, 1936, 1924, -1, 1713, 1924, 1705, -1,
 1705, 1924, 1912, -1, 1705, 1912, 1697, -1, 1912, 1924, 2034, -1,
 1948, 2094, 2046, -1, 1924, 2008, 2034, -1, 2034, 2008, 2046, -1,
 2034, 2046, 2132, -1, 2132, 2046, 2094, -1, 2132, 2094, 2168, -1,
 1912, 2034, 2082, -1, 2082, 2034, 2132, -1, 2082, 2132, 2156, -1,
 2156, 2132, 2168, -1, 2156, 2168, 2206, -1, 2008, 1948, 2046, -1,
 1924, 1936, 2008, -1, 2008, 1936, 1948, -1, 2193, 2119, 2145, -1,
 2145, 2119, 2071, -1, 2145, 2071, 2059, -1, 2059, 2071, 2021, -1,
 2059, 2021, 1961, -1, 2119, 1997, 2071, -1, 2071, 1997, 1985, -1,
 2071, 1985, 2021, -1, 2021, 1985, 1973, -1, 2021, 1973, 1961, -1,
 2219, 2193, 2181, -1, 2181, 2193, 2145, -1, 2181, 2145, 2107, -1,
 2107, 2145, 2059, -1, 2107, 2059, 1961, -1, 1600, 1640, 1576, -1,
 1576, 1640, 1624, -1, 1576, 1624, 1544, -1, 1544, 1624, 1560, -1,
 1544, 1560, 1512, -1, 1512, 1560, 1528, -1, 1640, 1688, 1624, -1,
 1624, 1688, 1672, -1, 1624, 1672, 1560, -1, 1560, 1672, 1656, -1,
 1560, 1656, 1528, -1, 1528, 1656, 1608, -1, 1688, 1728, 1672, -1,
 1672, 1728, 1736, -1, 1672, 1736, 1656, -1, 1656, 1736, 1744, -1,
 1656, 1744, 1608, -1, 1608, 1744, 1752, -1, 1593, 1633, 1569, -1,
 1569, 1633, 1617, -1, 1569, 1617, 1537, -1, 1537, 1617, 1553, -1,
 1537, 1553, 1505, -1, 1505, 1553, 1521, -1, 1633, 1681, 1617, -1,
 1617, 1681, 1665, -1, 1617, 1665, 1553, -1, 1553, 1665, 1649, -1,
 1553, 1649, 1521, -1, 1521, 1649, 1585, -1, 1681, 1721, 1665, -1,
 1665, 1721, 1713, -1, 1665, 1713, 1649, -1, 1649, 1713, 1705, -1,
 1649, 1705, 1585, -1, 1585, 1705, 1697, -1, 1948, 1960, 2106, -1,
 1948, 2106, 2094, -1, 2094, 2106, 2180, -1, 2094, 2180, 2168, -1,
 2168, 2180, 2218, -1, 2168, 2218, 2206, -1, 2219, 2218, 2192, -1,
 2219, 2192, 2193, -1, 2193, 2192, 2118, -1, 2193, 2118, 2119, -1,
 2119, 2118, 1996, -1, 2119, 1996, 1997, -1, 1512, 1513, 1545, -1,
 1512, 1545, 1544, -1, 1544, 1545, 1577, -1, 1544, 1577, 1576, -1,
 1576, 1577, 1601, -1, 1576, 1601, 1600, -1, 1593, 1601, 1633, -1,
 1633, 1601, 1641, -1, 1633, 1641, 1681, -1, 1681, 1641, 1689, -1,
 1681, 1689, 1721, -1, 1721, 1689, 1729, -1, 2218, 2180, 2144, -1,
 1960, 1972, 2020, -1, 2180, 2058, 2144, -1, 2144, 2058, 2020, -1,
 2144, 2020, 2070, -1, 2070, 2020, 1972, -1, 2070, 1972, 1984, -1,
 2218, 2144, 2192, -1, 2192, 2144, 2070, -1, 2192, 2070, 2118, -1,
 2118, 2070, 1984, -1, 2118, 1984, 1996, -1, 2058, 1960, 2020, -1,
 2180, 2106, 2058, -1, 2058, 2106, 1960, -1, 1729, 1689, 1737, -1,
 1737, 1689, 1673, -1, 1737, 1673, 1745, -1, 1745, 1673, 1657, -1,
 1745, 1657, 1753, -1, 1753, 1657, 1609, -1, 1689, 1641, 1673, -1,
 1673, 1641, 1625, -1, 1673, 1625, 1657, -1, 1657, 1625, 1561, -1,
 1657, 1561, 1609, -1, 1609, 1561, 1529, -1, 1641, 1601, 1625, -1,
 1625, 1601, 1577, -1, 1625, 1577, 1561, -1, 1561, 1577, 1545, -1,
 1561, 1545, 1529, -1, 1529, 1545, 1513, -1, 1753, 1996, 1984, -1,
 1753, 1984, 1745, -1, 1745, 1984, 1972, -1, 1745, 1972, 1737, -1,
 1737, 1972, 1960, -1, 1737, 1960, 1729, -1, 1234, 1236, 1244, -1,
 1244, 1236, 1246, -1, 1244, 1246, 1258, -1, 1258, 1246, 1260, -1,
 1459, 1463, 1452, -1, 1459, 1452, 1450, -1, 1450, 1452, 1435, -1,
 1450, 1435, 1433, -1, 1346, 1344, 1350, -1, 1350, 1344, 1348, -1,
 1350, 1348, 1354, -1, 1354, 1348, 1352, -1, 1354, 1352, 1358, -1,
 1358, 1352, 1356, -1, 1320, 1322, 1318, -1, 1320, 1318, 1316, -1,
 1316, 1318, 1310, -1, 1316, 1310, 1308, -1, 1308, 1310, 1298, -1,
 1308, 1298, 1296, -1, 1232, 1230, 1226, -1, 1232, 1226, 1228, -1,
 1228, 1226, 1222, -1, 1228, 1222, 1224, -1, 1224, 1222, 1217, -1,
 1224, 1217, 1220, -1, 1324, 1326, 1330, -1, 1324, 1330, 1328, -1,
 1328, 1330, 1342, -1, 1328, 1342, 1340, -1, 1340, 1342, 1362, -1,
 1340, 1362, 1360, -1, 1474, 1476, 1256, -1, 1256, 1476, 1296, -1,
 1256, 1296, 1266, -1, 1266, 1296, 1272, -1, 1480, 1482, 1484, -1,
 1497, 1490, 1493, -1, 1493, 1490, 1488, -1, 1484, 1482, 1490, -1,
 1490, 1482, 1486, -1, 1490, 1486, 1488, -1, 1480, 1484, 1474, -1,
 1474, 1484, 1478, -1, 1474, 1478, 1476, -1, 1248, 1486, 1482, -1,
 1248, 1482, 1254, -1, 1482, 1480, 1254, -1, 1254, 1480, 1474, -1,
 1254, 1474, 1256, -1, 1410, 1414, 1428, -1, 1410, 1428, 1424, -1,
 1424, 1428, 1445, -1, 1424, 1445, 1441, -1, 1470, 1466, 1445, -1,
 1445, 1466, 1456, -1, 1445, 1456, 1441, -1, 1462, 1458, 1454, -1,
 1454, 1458, 1437, -1, 1454, 1437, 1439, -1, 1439, 1437, 1420, -1,
 1439, 1420, 1422, -1, 1422, 1420, 1406, -1, 1422, 1406, 1408, -1,
 1384, 1390, 1396, -1, 1384, 1396, 1394, -1, 1394, 1396, 1400, -1,
 1394, 1400, 1398, -1, 1398, 1400, 1404, -1, 1398, 1404, 1402, -1,
 1370, 1368, 1374, -1, 1374, 1368, 1372, -1, 1374, 1372, 1378, -1,
 1378, 1372, 1376, -1, 1378, 1376, 1382, -1, 1382, 1376, 1380, -1,
 1415, 1412, 1426, -1, 1415, 1426, 1429, -1, 1429, 1426, 1443, -1,
 1429, 1443, 1446, -1, 1446, 1443, 1467, -1, 1446, 1467, 1471, -1,
 1333, 1335, 1243, -1, 1333, 1243, 1241, -1, 1241, 1243, 1178, -1,
 1241, 1178, 1176, -1, 1176, 1178, 1158, -1, 1176, 1158, 1156, -1,
 1156, 1158, 1144, -1, 1156, 1144, 1142, -1, 1142, 1144, 1124, -1,
 1142, 1124, 1122, -1, 1122, 1124, 1059, -1, 1122, 1059, 1057, -1,
 1057, 1059, 967, -1, 1057, 967, 965, -1, 1465, 1527, 1591, -1,
 1917, 1700, 1845, -1, 1845, 1869, 1917, -1, 1917, 1869, 1893, -1,
 1917, 1893, 1916, -1, 1916, 1893, 1907, -1, 1916, 1907, 1892, -1,
 1849, 1921, 1819, -1, 1819, 1921, 1465, -1, 1819, 1465, 1795, -1,
 1909, 1920, 1897, -1, 1897, 1920, 1921, -1, 1897, 1921, 1873, -1,
 1873, 1921, 1849, -1, 1589, 1701, 1816, -1, 1871, 1895, 1919, -1,
 1919, 1895, 1908, -1, 1919, 1908, 1918, -1, 1814, 1315, 1844, -1,
 1844, 1315, 1916, -1, 1844, 1916, 1868, -1, 1868, 1916, 1892, -1,
 1703, 1818, 1591, -1, 1591, 1818, 1794, -1, 1591, 1794, 1465, -1,
 1465, 1794, 1771, -1, 1465, 1771, 1795, -1, 1814, 1790, 1315, -1,
 1315, 1790, 1769, -1, 1315, 1769, 1588, -1, 1588, 1769, 1791, -1,
 1588, 1791, 1700, -1, 1700, 1791, 1815, -1, 1700, 1815, 1845, -1,
 1908, 1894, 1918, -1, 1918, 1894, 1870, -1, 1918, 1870, 1701, -1,
 1701, 1870, 1846, -1, 1701, 1846, 1816, -1, 1909, 1896, 1920, -1,
 1920, 1896, 1872, -1, 1920, 1872, 1703, -1, 1703, 1872, 1848, -1,
 1703, 1848, 1818, -1, 1436, 1525, 1453, -1, 1453, 1525, 1589, -1,
 1453, 1589, 1464, -1, 1464, 1589, 1465, -1, 1816, 1792, 1589, -1,
 1589, 1792, 1770, -1, 1589, 1770, 1590, -1, 1590, 1770, 1793, -1,
 1590, 1793, 1702, -1, 1702, 1793, 1817, -1, 1702, 1817, 1919, -1,
 1919, 1817, 1847, -1, 1919, 1847, 1871, -1, 1588, 1524, 1315, -1,
 1315, 1524, 1508, -1, 1315, 1508, 1436, -1, 1436, 1508, 1509, -1,
 1436, 1509, 1525, -1, 1590, 1526, 1589, -1, 1589, 1526, 1510, -1,
 1589, 1510, 1465, -1, 1465, 1510, 1511, -1, 1465, 1511, 1527, -1,
 2211, 2210, 2223, -1, 2223, 2210, 2222, -1, 2213, 2212, 2225, -1,
 2225, 2212, 2224, -1, 963, 961, 1035, -1, 963, 1035, 1037, -1,
 1037, 1035, 1118, -1, 1037, 1118, 1120, -1, 1120, 1118, 1138, -1,
 1120, 1138, 1140, -1, 1140, 1138, 1160, -1, 1140, 1160, 1162, -1,
 1162, 1160, 1180, -1, 1162, 1180, 1182, -1, 1182, 1180, 1263, -1,
 1182, 1263, 1265, -1, 1265, 1263, 1337, -1, 1265, 1337, 1339, -1,
 1108, 1104, 1110, -1, 1263, 1180, 1237, -1, 1041, 1055, 1065, -1,
 1198, 1194, 1188, -1, 1188, 1194, 1202, -1, 1188, 1202, 1206, -1,
 911, 935, 961, -1, 961, 935, 1041, -1, 961, 1041, 1035, -1,
 1035, 1041, 1065, -1, 1035, 1065, 1118, -1, 1118, 1065, 1092, -1,
 1118, 1092, 1138, -1, 1138, 1092, 1096, -1, 1138, 1096, 1110, -1,
 1110, 1096, 1100, -1, 1110, 1100, 1108, -1, 1110, 1126, 1138, -1,
 1138, 1126, 1134, -1, 1138, 1134, 1160, -1, 1134, 1148, 1160, -1,
 1160, 1148, 1164, -1, 1160, 1164, 1172, -1, 1237, 1247, 1263, -1,
 1263, 1247, 1261, -1, 1263, 1261, 1337, -1, 1337, 1261, 1367, -1,
 1337, 1367, 1389, -1, 1172, 1188, 1160, -1, 1160, 1188, 1206, -1,
 1160, 1206, 1180, -1, 1180, 1206, 1210, -1, 1180, 1210, 1237, -1,
 1464, 1465, 1460, -1, 1460, 1465, 1461, -1, 2227, 2215, 2226, -1,
 2226, 2215, 2214, -1, 1516, 1532, 1413, -1, 1413, 1532, 1381, -1,
 2005, 2004, 1469, -1, 1469, 2004, 1759, -1, 1469, 1759, 1615, -1,
 1758, 2003, 2002, -1, 1444, 1468, 1533, -1, 1533, 1468, 1613, -1,
 1413, 1427, 1516, -1, 1516, 1427, 1444, -1, 1516, 1444, 1517, -1,
 1517, 1444, 1533, -1, 1369, 1532, 1313, -1, 1313, 1532, 1612, -1,
 1313, 1612, 2000, -1, 2000, 1612, 1756, -1, 2000, 1756, 2001, -1,
 2002, 1757, 1758, -1, 1758, 1757, 1613, -1, 1758, 1613, 1614, -1,
 1614, 1613, 1468, -1, 1614, 1468, 1534, -1, 1369, 1373, 1532, -1,
 1532, 1373, 1377, -1, 1532, 1377, 1381, -1, 1615, 1535, 1469, -1,
 1469, 1535, 1519, -1, 1469, 1519, 1468, -1, 1468, 1519, 1518, -1,
 1468, 1518, 1534, -1, 1469, 1468, 1473, -1, 1473, 1468, 1472, -1,
 1432, 1449, 1473, -1, 914, 892, 876, -1, 927, 923, 963, -1,
 837, 915, 836, -1, 836, 915, 914, -1, 836, 914, 858, -1,
 858, 914, 876, -1, 901, 905, 897, -1, 897, 905, 915, -1,
 897, 915, 893, -1, 893, 915, 837, -1, 893, 837, 877, -1,
 877, 837, 859, -1, 1393, 1473, 1392, -1, 1392, 1473, 1472, -1,
 1392, 1472, 1447, -1, 963, 923, 914, -1, 914, 923, 919, -1,
 914, 919, 892, -1, 1419, 1432, 1417, -1, 1417, 1432, 1473, -1,
 1417, 1473, 1405, -1, 1405, 1473, 1393, -1, 1405, 1393, 1401, -1,
 1401, 1393, 1397, -1, 1027, 1011, 963, -1, 963, 1011, 931, -1,
 963, 931, 927, -1, 1169, 1153, 1162, -1, 1291, 1271, 1371, -1,
 1371, 1271, 1339, -1, 1371, 1339, 1375, -1, 1375, 1339, 1379, -1,
 1162, 1153, 1140, -1, 1140, 1153, 1145, -1, 1140, 1145, 1120, -1,
 1120, 1145, 1129, -1, 1120, 1129, 1037, -1, 1037, 1129, 1113, -1,
 1037, 1113, 963, -1, 963, 1113, 1060, -1, 963, 1060, 1027, -1,
 1379, 1339, 1383, -1, 1383, 1339, 1392, -1, 1383, 1392, 1416, -1,
 1416, 1392, 1447, -1, 1416, 1447, 1430, -1, 1271, 1238, 1339, -1,
 1339, 1238, 1185, -1, 1339, 1185, 1265, -1, 1265, 1185, 1169, -1,
 1265, 1169, 1182, -1, 1182, 1169, 1162, -1, 1494, 1495, 1333, -1,
 1051, 965, 795, -1, 795, 794, 1051, -1, 1051, 794, 805, -1,
 1051, 805, 809, -1, 1249, 1487, 1489, -1, 1170, 1186, 1333, -1,
 1051, 1061, 965, -1, 965, 1061, 1114, -1, 965, 1114, 1057, -1,
 1057, 1114, 1130, -1, 1057, 1130, 1122, -1, 1122, 1130, 1146, -1,
 1489, 1494, 1249, -1, 1249, 1494, 1333, -1, 1249, 1333, 1239, -1,
 1239, 1333, 1186, -1, 1333, 1241, 1170, -1, 1170, 1241, 1176, -1,
 1170, 1176, 1154, -1, 1154, 1176, 1156, -1, 1154, 1156, 1146, -1,
 1146, 1156, 1142, -1, 1146, 1142, 1122, -1, 1502, 1503, 1499, -1,
 1499, 1503, 1495, -1, 1499, 1495, 1498, -1, 1498, 1495, 1494, -1,
 973, 969, 967, -1, 967, 969, 957, -1, 967, 957, 937, -1,
 1325, 1251, 1231, -1, 1086, 1079, 1080, -1, 1361, 1341, 1335, -1,
 1335, 1341, 1329, -1, 1335, 1329, 1325, -1, 1075, 1071, 967, -1,
 967, 1071, 1067, -1, 967, 1067, 973, -1, 973, 1067, 1047, -1,
 1174, 1166, 1158, -1, 1158, 1166, 1152, -1, 1158, 1152, 1144, -1,
 1144, 1152, 1136, -1, 1086, 1080, 1112, -1, 1218, 1216, 1219, -1,
 1219, 1216, 1190, -1, 1219, 1190, 1223, -1, 1223, 1190, 1227, -1,
 1080, 1075, 1112, -1, 1112, 1075, 967, -1, 1112, 967, 1128, -1,
 1128, 967, 1059, -1, 1128, 1059, 1136, -1, 1136, 1059, 1124, -1,
 1136, 1124, 1144, -1, 1190, 1174, 1227, -1, 1227, 1174, 1158, -1,
 1227, 1158, 1231, -1, 1231, 1158, 1178, -1, 1231, 1178, 1325, -1,
 1325, 1178, 1243, -1, 1325, 1243, 1335, -1, 1405, 1403, 1409, -1,
 1409, 1403, 1407, -1, 1417, 1405, 1411, -1, 1411, 1405, 1409, -1,
 1411, 1409, 1969, -1, 1969, 1409, 1957, -1, 1386, 1387, 1389, -1,
 1389, 1387, 1393, -1, 1389, 1393, 1392, -1, 1386, 1389, 1365, -1,
 1365, 1389, 1367, -1, 1299, 1297, 1275, -1, 1275, 1297, 1273, -1,
 1279, 1277, 1269, -1, 1271, 1291, 1289, -1, 1964, 1952, 1289, -1,
 1289, 1952, 1279, -1, 1289, 1279, 1271, -1, 1271, 1279, 1269, -1,
 1436, 1434, 1315, -1, 1315, 1434, 1303, -1, 1315, 1303, 1307, -1,
 1307, 1303, 1305, -1, 1208, 1235, 1210, -1, 1210, 1235, 1237, -1,
 1367, 1261, 1365, -1, 1365, 1261, 1259, -1, 1726, 1955, 1734, -1,
 1734, 1955, 1967, -1, 1599, 1598, 1607, -1, 1607, 1598, 1606, -1,
 1956, 1727, 1968, -1, 1968, 1727, 1735, -1, 1724, 1953, 1732, -1,
 1732, 1953, 1965, -1, 1604, 1605, 1596, -1, 1596, 1605, 1597, -1,
 1954, 1725, 1966, -1, 1966, 1725, 1733, -1, 1849, 1861, 1873, -1,
 1873, 1861, 1885, -1, 1873, 1885, 1897, -1, 1897, 1885, 1903, -1,
 1897, 1903, 1909, -1, 1909, 1903, 1884, -1, 1909, 1884, 1896, -1,
 1896, 1884, 1860, -1, 1896, 1860, 1872, -1, 1872, 1860, 1835, -1,
 1872, 1835, 1848, -1, 1848, 1835, 1806, -1, 1848, 1806, 1818, -1,
 1818, 1806, 1782, -1, 1818, 1782, 1794, -1, 1794, 1782, 1765, -1,
 1794, 1765, 1771, -1, 1771, 1765, 1783, -1, 1771, 1783, 1795, -1,
 1795, 1783, 1807, -1, 1795, 1807, 1819, -1, 1819, 1807, 1837, -1,
 1819, 1837, 1849, -1, 1849, 1837, 1861, -1, 1782, 1806, 1836, -1,
 1836, 1806, 1835, -1, 1836, 1835, 1860, -1, 1807, 1783, 1836, -1,
 1836, 1783, 1765, -1, 1836, 1765, 1782, -1, 1885, 1861, 1836, -1,
 1836, 1861, 1837, -1, 1836, 1837, 1807, -1, 1860, 1884, 1836, -1,
 1836, 1884, 1903, -1, 1836, 1903, 1885, -1, 1847, 1859, 1871, -1,
 1871, 1859, 1883, -1, 1871, 1883, 1895, -1, 1895, 1883, 1902, -1,
 1895, 1902, 1908, -1, 1908, 1902, 1882, -1, 1908, 1882, 1894, -1,
 1894, 1882, 1858, -1, 1894, 1858, 1870, -1, 1870, 1858, 1832, -1,
 1870, 1832, 1846, -1, 1846, 1832, 1804, -1, 1846, 1804, 1816, -1,
 1816, 1804, 1780, -1, 1816, 1780, 1792, -1, 1792, 1780, 1764, -1,
 1792, 1764, 1770, -1, 1770, 1764, 1781, -1, 1770, 1781, 1793, -1,
 1793, 1781, 1805, -1, 1793, 1805, 1817, -1, 1817, 1805, 1834, -1,
 1817, 1834, 1847, -1, 1847, 1834, 1859, -1, 1780, 1804, 1833, -1,
 1833, 1804, 1832, -1, 1833, 1832, 1858, -1, 1805, 1781, 1833, -1,
 1833, 1781, 1764, -1, 1833, 1764, 1780, -1, 1883, 1859, 1833, -1,
 1833, 1859, 1834, -1, 1833, 1834, 1805, -1, 1858, 1882, 1833, -1,
 1833, 1882, 1902, -1, 1833, 1902, 1883, -1, 1845, 1857, 1869, -1,
 1869, 1857, 1881, -1, 1869, 1881, 1893, -1, 1893, 1881, 1901, -1,
 1893, 1901, 1907, -1, 1907, 1901, 1880, -1, 1907, 1880, 1892, -1,
 1892, 1880, 1856, -1, 1892, 1856, 1868, -1, 1868, 1856, 1829, -1,
 1868, 1829, 1844, -1, 1844, 1829, 1802, -1, 1844, 1802, 1814, -1,
 1814, 1802, 1778, -1, 1814, 1778, 1790, -1, 1790, 1778, 1763, -1,
 1790, 1763, 1769, -1, 1769, 1763, 1779, -1, 1769, 1779, 1791, -1,
 1791, 1779, 1803, -1, 1791, 1803, 1815, -1, 1815, 1803, 1831, -1,
 1815, 1831, 1845, -1, 1845, 1831, 1857, -1, 1778, 1802, 1830, -1,
 1830, 1802, 1829, -1, 1830, 1829, 1856, -1, 1803, 1779, 1830, -1,
 1830, 1779, 1763, -1, 1830, 1763, 1778, -1, 1881, 1857, 1830, -1,
 1830, 1857, 1831, -1, 1830, 1831, 1803, -1, 1856, 1880, 1830, -1,
 1830, 1880, 1901, -1, 1830, 1901, 1881, -1, 1335, 1333, 1361, -1,
 1361, 1333, 1495, -1, 1361, 1495, 1363, -1, 1363, 1495, 1503, -1,
 1251, 1325, 1253, -1, 1253, 1325, 1327, -1, 1253, 1233, 1251, -1,
 1251, 1233, 1231, -1, 1323, 1347, 1321, -1, 1321, 1347, 1345, -1,
 1499, 1357, 1502, -1, 1502, 1357, 1359, -1, 1498, 1491, 1485, -1,
 1297, 1309, 1477, -1, 1477, 1309, 1498, -1, 1477, 1498, 1479, -1,
 1479, 1498, 1485, -1, 1345, 1349, 1353, -1, 1309, 1317, 1498, -1,
 1498, 1317, 1321, -1, 1498, 1321, 1499, -1, 1499, 1321, 1345, -1,
 1499, 1345, 1357, -1, 1357, 1345, 1353, -1, 1371, 1369, 1291, -1,
 1291, 1369, 1313, -1, 1291, 1313, 1301, -1, 1301, 1295, 1291, -1,
 1291, 1295, 1293, -1, 1291, 1293, 1289, -1, 1413, 1381, 1416, -1,
 1416, 1381, 1383, -1, 1389, 1392, 1337, -1, 1337, 1392, 1339, -1,
 1287, 1305, 1303, -1, 1287, 1303, 1281, -1, 1303, 1283, 1281, -1,
 1281, 1283, 1277, -1, 1281, 1277, 1279, -1, 1307, 1305, 1940, -1,
 1940, 1305, 1287, -1, 1940, 1287, 1952, -1, 1952, 1287, 1281, -1,
 1952, 1281, 1279, -1, 1940, 1928, 1307, -1, 1307, 1928, 1916, -1,
 1307, 1916, 1315, -1, 2160, 2086, 2136, -1, 2136, 2086, 2038, -1,
 2136, 2038, 2050, -1, 2050, 2038, 2012, -1, 2050, 2012, 1952, -1,
 2086, 1916, 2038, -1, 2038, 1916, 1928, -1, 2038, 1928, 2012, -1,
 2012, 1928, 1940, -1, 2012, 1940, 1952, -1, 2210, 2160, 2172, -1,
 2172, 2160, 2136, -1, 2172, 2136, 2098, -1, 2098, 2136, 2050, -1,
 2098, 2050, 1952, -1, 2210, 2211, 2161, -1, 2210, 2161, 2160, -1,
 2160, 2161, 2087, -1, 2160, 2087, 2086, -1, 2086, 2087, 1917, -1,
 2086, 1917, 1916, -1, 1952, 1964, 2110, -1, 1952, 2110, 2098, -1,
 2098, 2110, 2184, -1, 2098, 2184, 2172, -1, 2172, 2184, 2222, -1,
 2172, 2222, 2210, -1, 1313, 2000, 1988, -1, 1313, 1988, 1301, -1,
 1301, 1988, 1976, -1, 1301, 1976, 1295, -1, 1295, 1976, 1293, -1,
 1293, 1976, 1964, -1, 1293, 1964, 1289, -1, 2211, 2173, 2137, -1,
 1953, 1941, 2013, -1, 2173, 2051, 2137, -1, 2137, 2051, 2013, -1,
 2137, 2013, 2039, -1, 2039, 2013, 1941, -1, 2039, 1941, 1929, -1,
 2211, 2137, 2161, -1, 2161, 2137, 2039, -1, 2161, 2039, 2087, -1,
 2087, 2039, 1929, -1, 2087, 1929, 1917, -1, 2051, 1953, 2013, -1,
 2173, 2099, 2051, -1, 2051, 2099, 1953, -1, 2122, 2196, 2074, -1,
 2074, 2196, 2148, -1, 2074, 2148, 2024, -1, 2024, 2148, 2062, -1,
 2024, 2062, 1964, -1, 2196, 2222, 2148, -1, 2148, 2222, 2184, -1,
 2148, 2184, 2062, -1, 2062, 2184, 2110, -1, 2062, 2110, 1964, -1,
 2000, 2122, 1988, -1, 1988, 2122, 2074, -1, 1988, 2074, 1976, -1,
 1976, 2074, 2024, -1, 1976, 2024, 1964, -1, 1700, 1917, 1929, -1,
 1700, 1929, 1708, -1, 1708, 1929, 1941, -1, 1708, 1941, 1716, -1,
 1716, 1941, 1953, -1, 1716, 1953, 1724, -1, 2211, 2223, 2185, -1,
 2211, 2185, 2173, -1, 2173, 2185, 2111, -1, 2173, 2111, 2099, -1,
 2099, 2111, 1965, -1, 2099, 1965, 1953, -1, 2000, 2001, 2123, -1,
 2000, 2123, 2122, -1, 2122, 2123, 2197, -1, 2122, 2197, 2196, -1,
 2196, 2197, 2223, -1, 2196, 2223, 2222, -1, 1724, 1684, 1716, -1,
 1716, 1684, 1668, -1, 1716, 1668, 1708, -1, 1708, 1668, 1652, -1,
 1708, 1652, 1700, -1, 1700, 1652, 1588, -1, 1684, 1636, 1668, -1,
 1668, 1636, 1620, -1, 1668, 1620, 1652, -1, 1652, 1620, 1556, -1,
 1652, 1556, 1588, -1, 1588, 1556, 1524, -1, 1636, 1596, 1620, -1,
 1620, 1596, 1572, -1, 1620, 1572, 1556, -1, 1556, 1572, 1540, -1,
 1556, 1540, 1524, -1, 1524, 1540, 1508, -1, 2001, 1989, 2075, -1,
 1965, 2111, 2063, -1, 1989, 2025, 2075, -1, 2075, 2025, 2063, -1,
 2075, 2063, 2149, -1, 2149, 2063, 2111, -1, 2149, 2111, 2185, -1,
 2001, 2075, 2123, -1, 2123, 2075, 2149, -1, 2123, 2149, 2197, -1,
 2197, 2149, 2185, -1, 2197, 2185, 2223, -1, 2025, 1965, 2063, -1,
 1989, 1977, 2025, -1, 2025, 1977, 1965, -1, 1509, 1508, 1540, -1,
 1509, 1540, 1541, -1, 1541, 1540, 1572, -1, 1541, 1572, 1573, -1,
 1573, 1572, 1596, -1, 1573, 1596, 1597, -1, 1724, 1732, 1684, -1,
 1684, 1732, 1692, -1, 1684, 1692, 1636, -1, 1636, 1692, 1644, -1,
 1636, 1644, 1596, -1, 1596, 1644, 1604, -1, 1732, 1965, 1977, -1,
 1732, 1977, 1740, -1, 1740, 1977, 1989, -1, 1740, 1989, 1748, -1,
 1748, 1989, 2001, -1, 1748, 2001, 1756, -1, 1597, 1637, 1573, -1,
 1573, 1637, 1621, -1, 1573, 1621, 1541, -1, 1541, 1621, 1557, -1,
 1541, 1557, 1509, -1, 1509, 1557, 1525, -1, 1637, 1685, 1621, -1,
 1621, 1685, 1669, -1, 1621, 1669, 1557, -1, 1557, 1669, 1653, -1,
 1557, 1653, 1525, -1, 1525, 1653, 1589, -1, 1685, 1725, 1669, -1,
 1669, 1725, 1717, -1, 1669, 1717, 1653, -1, 1653, 1717, 1709, -1,
 1653, 1709, 1589, -1, 1589, 1709, 1701, -1, 1604, 1644, 1580, -1,
 1580, 1644, 1628, -1, 1580, 1628, 1548, -1, 1548, 1628, 1564, -1,
 1548, 1564, 1516, -1, 1516, 1564, 1532, -1, 1644, 1692, 1628, -1,
 1628, 1692, 1676, -1, 1628, 1676, 1564, -1, 1564, 1676, 1660, -1,
 1564, 1660, 1532, -1, 1532, 1660, 1612, -1, 1692, 1732, 1676, -1,
 1676, 1732, 1740, -1, 1676, 1740, 1660, -1, 1660, 1740, 1748, -1,
 1660, 1748, 1612, -1, 1612, 1748, 1756, -1, 1918, 1701, 1709, -1,
 1918, 1709, 1930, -1, 1930, 1709, 1717, -1, 1930, 1717, 1942, -1,
 1942, 1717, 1725, -1, 1942, 1725, 1954, -1, 1597, 1605, 1637, -1,
 1637, 1605, 1645, -1, 1637, 1645, 1685, -1, 1685, 1645, 1693, -1,
 1685, 1693, 1725, -1, 1725, 1693, 1733, -1, 1605, 1604, 1580, -1,
 1605, 1580, 1581, -1, 1581, 1580, 1548, -1, 1581, 1548, 1549, -1,
 1549, 1548, 1516, -1, 1549, 1516, 1517, -1, 1920, 1703, 1711, -1,
 1920, 1711, 1932, -1, 1932, 1711, 1719, -1, 1932, 1719, 1944, -1,
 1944, 1719, 1727, -1, 1944, 1727, 1956, -1, 2162, 2088, 2138, -1,
 2138, 2088, 2040, -1, 2138, 2040, 2052, -1, 2052, 2040, 2014, -1,
 2052, 2014, 1954, -1, 2088, 1918, 2040, -1, 2040, 1918, 1930, -1,
 2040, 1930, 2014, -1, 2014, 1930, 1942, -1, 2014, 1942, 1954, -1,
 2212, 2162, 2174, -1, 2174, 2162, 2138, -1, 2174, 2138, 2100, -1,
 2100, 2138, 2052, -1, 2100, 2052, 1954, -1, 1733, 1693, 1741, -1,
 1741, 1693, 1677, -1, 1741, 1677, 1749, -1, 1749, 1677, 1661, -1,
 1749, 1661, 1757, -1, 1757, 1661, 1613, -1, 1693, 1645, 1677, -1,
 1677, 1645, 1629, -1, 1677, 1629, 1661, -1, 1661, 1629, 1565, -1,
 1661, 1565, 1613, -1, 1613, 1565, 1533, -1, 1645, 1605, 1629, -1,
 1629, 1605, 1581, -1, 1629, 1581, 1565, -1, 1565, 1581, 1549, -1,
 1565, 1549, 1533, -1, 1533, 1549, 1517, -1, 1956, 1968, 2114, -1,
 1956, 2114, 2102, -1, 2102, 2114, 2188, -1, 2102, 2188, 2176, -1,
 2176, 2188, 2226, -1, 2176, 2226, 2214, -1, 1599, 1639, 1575, -1,
 1575, 1639, 1623, -1, 1575, 1623, 1543, -1, 1543, 1623, 1559, -1,
 1543, 1559, 1511, -1, 1511, 1559, 1527, -1, 1639, 1687, 1623, -1,
 1623, 1687, 1671, -1, 1623, 1671, 1559, -1, 1559, 1671, 1655, -1,
 1559, 1655, 1527, -1, 1527, 1655, 1591, -1, 1687, 1727, 1671, -1,
 1671, 1727, 1719, -1, 1671, 1719, 1655, -1, 1655, 1719, 1711, -1,
 1655, 1711, 1591, -1, 1591, 1711, 1703, -1, 2212, 2213, 2163, -1,
 2212, 2163, 2162, -1, 2162, 2163, 2089, -1, 2162, 2089, 2088, -1,
 2088, 2089, 1919, -1, 2088, 1919, 1918, -1, 1954, 1966, 2112, -1,
 1954, 2112, 2100, -1, 2100, 2112, 2186, -1, 2100, 2186, 2174, -1,
 2174, 2186, 2224, -1, 2174, 2224, 2212, -1, 1966, 1733, 1741, -1,
 1966, 1741, 1978, -1, 1978, 1741, 1749, -1, 1978, 1749, 1990, -1,
 1990, 1749, 1757, -1, 1990, 1757, 2002, -1, 1968, 1735, 1743, -1,
 1968, 1743, 1980, -1, 1980, 1743, 1751, -1, 1980, 1751, 1992, -1,
 1992, 1751, 1759, -1, 1992, 1759, 2004, -1, 1599, 1607, 1639, -1,
 1639, 1607, 1647, -1, 1639, 1647, 1687, -1, 1687, 1647, 1695, -1,
 1687, 1695, 1727, -1, 1727, 1695, 1735, -1, 1511, 1510, 1542, -1,
 1511, 1542, 1543, -1, 1543, 1542, 1574, -1, 1543, 1574, 1575, -1,
 1575, 1574, 1598, -1, 1575, 1598, 1599, -1, 1702, 1919, 1931, -1,
 1702, 1931, 1710, -1, 1710, 1931, 1943, -1, 1710, 1943, 1718, -1,
 1718, 1943, 1955, -1, 1718, 1955, 1726, -1, 2213, 2175, 2139, -1,
 1955, 1943, 2015, -1, 2175, 2053, 2139, -1, 2139, 2053, 2015, -1,
 2139, 2015, 2041, -1, 2041, 2015, 1943, -1, 2041, 1943, 1931, -1,
 2213, 2139, 2163, -1, 2163, 2139, 2041, -1, 2163, 2041, 2089, -1,
 2089, 2041, 1931, -1, 2089, 1931, 1919, -1, 2053, 1955, 2015, -1,
 2175, 2101, 2053, -1, 2053, 2101, 1955, -1, 2124, 2198, 2076, -1,
 2076, 2198, 2150, -1, 2076, 2150, 2026, -1, 2026, 2150, 2064, -1,
 2026, 2064, 1966, -1, 2198, 2224, 2150, -1, 2150, 2224, 2186, -1,
 2150, 2186, 2064, -1, 2064, 2186, 2112, -1, 2064, 2112, 1966, -1,
 2002, 2124, 1990, -1, 1990, 2124, 2076, -1, 1990, 2076, 1978, -1,
 1978, 2076, 2026, -1, 1978, 2026, 1966, -1, 1735, 1695, 1743, -1,
 1743, 1695, 1679, -1, 1743, 1679, 1751, -1, 1751, 1679, 1663, -1,
 1751, 1663, 1759, -1, 1759, 1663, 1615, -1, 1695, 1647, 1679, -1,
 1679, 1647, 1631, -1, 1679, 1631, 1663, -1, 1663, 1631, 1567, -1,
 1663, 1567, 1615, -1, 1615, 1567, 1535, -1, 1647, 1607, 1631, -1,
 1631, 1607, 1583, -1, 1631, 1583, 1567, -1, 1567, 1583, 1551, -1,
 1567, 1551, 1535, -1, 1535, 1551, 1519, -1, 1726, 1686, 1718, -1,
 1718, 1686, 1670, -1, 1718, 1670, 1710, -1, 1710, 1670, 1654, -1,
 1710, 1654, 1702, -1, 1702, 1654, 1590, -1, 1686, 1638, 1670, -1,
 1670, 1638, 1622, -1, 1670, 1622, 1654, -1, 1654, 1622, 1558, -1,
 1654, 1558, 1590, -1, 1590, 1558, 1526, -1, 1638, 1598, 1622, -1,
 1622, 1598, 1574, -1, 1622, 1574, 1558, -1, 1558, 1574, 1542, -1,
 1558, 1542, 1526, -1, 1526, 1542, 1510, -1, 2213, 2225, 2187, -1,
 2213, 2187, 2175, -1, 2175, 2187, 2113, -1, 2175, 2113, 2101, -1,
 2101, 2113, 1967, -1, 2101, 1967, 1955, -1, 2002, 2003, 2125, -1,
 2002, 2125, 2124, -1, 2124, 2125, 2199, -1, 2124, 2199, 2198, -1,
 2198, 2199, 2225, -1, 2198, 2225, 2224, -1, 1607, 1606, 1582, -1,
 1607, 1582, 1583, -1, 1583, 1582, 1550, -1, 1583, 1550, 1551, -1,
 1551, 1550, 1518, -1, 1551, 1518, 1519, -1, 1726, 1734, 1686, -1,
 1686, 1734, 1694, -1, 1686, 1694, 1638, -1, 1638, 1694, 1646, -1,
 1638, 1646, 1598, -1, 1598, 1646, 1606, -1, 2003, 1991, 2077, -1,
 1967, 2113, 2065, -1, 1991, 2027, 2077, -1, 2077, 2027, 2065, -1,
 2077, 2065, 2151, -1, 2151, 2065, 2113, -1, 2151, 2113, 2187, -1,
 2003, 2077, 2125, -1, 2125, 2077, 2151, -1, 2125, 2151, 2199, -1,
 2199, 2151, 2187, -1, 2199, 2187, 2225, -1, 2027, 1967, 2065, -1,
 1991, 1979, 2027, -1, 2027, 1979, 1967, -1, 1606, 1646, 1582, -1,
 1582, 1646, 1630, -1, 1582, 1630, 1550, -1, 1550, 1630, 1566, -1,
 1550, 1566, 1518, -1, 1518, 1566, 1534, -1, 1646, 1694, 1630, -1,
 1630, 1694, 1678, -1, 1630, 1678, 1566, -1, 1566, 1678, 1662, -1,
 1566, 1662, 1534, -1, 1534, 1662, 1614, -1, 1694, 1734, 1678, -1,
 1678, 1734, 1742, -1, 1678, 1742, 1662, -1, 1662, 1742, 1750, -1,
 1662, 1750, 1614, -1, 1614, 1750, 1758, -1, 1734, 1967, 1979, -1,
 1734, 1979, 1742, -1, 1742, 1979, 1991, -1, 1742, 1991, 1750, -1,
 1750, 1991, 2003, -1, 1750, 2003, 1758, -1, 1259, 1261, 1245, -1,
 1245, 1261, 1247, -1, 1245, 1247, 1235, -1, 1235, 1247, 1237, -1,
 1434, 1436, 1453, -1, 1434, 1453, 1451, -1, 1451, 1453, 1464, -1,
 1451, 1464, 1460, -1, 1359, 1357, 1355, -1, 1355, 1357, 1353, -1,
 1355, 1353, 1351, -1, 1351, 1353, 1349, -1, 1351, 1349, 1347, -1,
 1347, 1349, 1345, -1, 1297, 1299, 1311, -1, 1297, 1311, 1309, -1,
 1309, 1311, 1319, -1, 1309, 1319, 1317, -1, 1317, 1319, 1323, -1,
 1317, 1323, 1321, -1, 1221, 1219, 1223, -1, 1221, 1223, 1225, -1,
 1225, 1223, 1227, -1, 1225, 1227, 1229, -1, 1229, 1227, 1231, -1,
 1229, 1231, 1233, -1, 1361, 1363, 1343, -1, 1361, 1343, 1341, -1,
 1341, 1343, 1331, -1, 1341, 1331, 1329, -1, 1329, 1331, 1327, -1,
 1329, 1327, 1325, -1, 1477, 1475, 1297, -1, 1297, 1475, 1257, -1,
 1297, 1257, 1273, -1, 1485, 1483, 1481, -1, 1485, 1481, 1479, -1,
 1479, 1481, 1475, -1, 1479, 1475, 1477, -1, 1483, 1485, 1487, -1,
 1487, 1485, 1491, -1, 1487, 1491, 1489, -1, 1489, 1491, 1498, -1,
 1489, 1498, 1494, -1, 1475, 1481, 1257, -1, 1257, 1481, 1255, -1,
 1255, 1481, 1249, -1, 1249, 1481, 1483, -1, 1249, 1483, 1487, -1,
 1469, 1473, 1457, -1, 1457, 1473, 1449, -1, 1457, 1449, 1448, -1,
 1448, 1449, 1442, -1, 1442, 1449, 1432, -1, 1442, 1432, 1431, -1,
 1431, 1432, 1425, -1, 1425, 1432, 1419, -1, 1425, 1419, 1418, -1,
 1418, 1419, 1417, -1, 1418, 1417, 1411, -1, 1409, 1407, 1421, -1,
 1409, 1421, 1423, -1, 1423, 1421, 1438, -1, 1423, 1438, 1440, -1,
 1461, 1465, 1438, -1, 1438, 1465, 1455, -1, 1438, 1455, 1440, -1,
 1403, 1405, 1401, -1, 1403, 1401, 1399, -1, 1399, 1401, 1397, -1,
 1399, 1397, 1395, -1, 1395, 1397, 1393, -1, 1395, 1393, 1387, -1,
 1383, 1381, 1379, -1, 1379, 1381, 1377, -1, 1379, 1377, 1375, -1,
 1375, 1377, 1373, -1, 1375, 1373, 1371, -1, 1371, 1373, 1369, -1,
 1472, 1468, 1444, -1, 1472, 1444, 1447, -1, 1447, 1444, 1427, -1,
 1447, 1427, 1430, -1, 1430, 1427, 1413, -1, 1430, 1413, 1416, -1,
 517, 532, 984, -1, 530, 512, 826, -1, 826, 512, 488, -1,
 826, 488, 462, -1, 827, 681, 761, -1, 488, 436, 462, -1,
 462, 436, 394, -1, 462, 394, 256, -1, 536, 257, 395, -1,
 394, 370, 256, -1, 256, 370, 352, -1, 256, 352, 257, -1,
 257, 352, 371, -1, 257, 371, 395, -1, 681, 827, 537, -1,
 984, 532, 683, -1, 683, 532, 516, -1, 683, 516, 539, -1,
 395, 437, 536, -1, 536, 437, 489, -1, 536, 489, 680, -1,
 680, 489, 513, -1, 680, 513, 760, -1, 396, 258, 438, -1,
 438, 258, 537, -1, 438, 537, 490, -1, 490, 537, 827, -1,
 490, 827, 514, -1, 439, 682, 397, -1, 397, 682, 538, -1,
 397, 538, 259, -1, 844, 515, 827, -1, 827, 515, 531, -1,
 827, 531, 514, -1, 260, 374, 261, -1, 261, 374, 354, -1,
 261, 354, 375, -1, 396, 372, 258, -1, 258, 372, 353, -1,
 258, 353, 259, -1, 259, 353, 373, -1, 259, 373, 397, -1,
 761, 777, 827, -1, 827, 777, 776, -1, 827, 776, 826, -1,
 826, 776, 760, -1, 826, 760, 530, -1, 530, 760, 513, -1,
 516, 492, 539, -1, 539, 492, 440, -1, 539, 440, 260, -1,
 260, 440, 398, -1, 260, 398, 374, -1, 375, 399, 261, -1,
 261, 399, 441, -1, 261, 441, 984, -1, 984, 441, 493, -1,
 984, 493, 517, -1, 862, 762, 682, -1, 844, 862, 515, -1,
 515, 862, 682, -1, 515, 682, 491, -1, 491, 682, 439, -1,
 683, 763, 984, -1, 984, 763, 779, -1, 984, 779, 862, -1,
 862, 779, 778, -1, 862, 778, 762, -1, 4, 5, 16, -1,
 16, 5, 17, -1, 2, 3, 14, -1, 14, 3, 15, -1,
 1101, 1083, 1024, -1, 883, 908, 909, -1, 1094, 1090, 1025, -1,
 1025, 1090, 1063, -1, 1025, 1063, 1021, -1, 1021, 1063, 1053, -1,
 908, 843, 933, -1, 933, 843, 861, -1, 933, 861, 1039, -1,
 1039, 861, 995, -1, 1039, 995, 1053, -1, 1053, 995, 1017, -1,
 1053, 1017, 1021, -1, 883, 879, 865, -1, 1024, 1089, 1093, -1,
 1024, 1083, 1014, -1, 1014, 1083, 1084, -1, 1014, 1084, 1025, -1,
 1098, 1094, 1106, -1, 1106, 1094, 1025, -1, 1106, 1025, 1102, -1,
 1102, 1025, 1084, -1, 903, 899, 909, -1, 909, 899, 895, -1,
 909, 895, 883, -1, 865, 847, 883, -1, 883, 847, 825, -1,
 883, 825, 908, -1, 908, 825, 824, -1, 908, 824, 843, -1,
 894, 898, 902, -1, 1089, 1024, 1062, -1, 1062, 1024, 1020, -1,
 1062, 1020, 1052, -1, 1052, 1020, 1016, -1, 1052, 1016, 1038, -1,
 1038, 1016, 994, -1, 1038, 994, 932, -1, 932, 994, 860, -1,
 932, 860, 907, -1, 907, 860, 842, -1, 907, 842, 823, -1,
 1093, 1097, 1024, -1, 1024, 1097, 1105, -1, 1024, 1105, 1101, -1,
 864, 878, 846, -1, 846, 878, 882, -1, 846, 882, 822, -1,
 902, 906, 894, -1, 894, 906, 907, -1, 894, 907, 882, -1,
 882, 907, 823, -1, 882, 823, 822, -1, 827, 826, 823, -1,
 823, 826, 822, -1, 12, 0, 13, -1, 13, 0, 1, -1,
 831, 830, 706, -1, 334, 335, 475, -1, 475, 335, 592, -1,
 475, 592, 830, -1, 830, 592, 704, -1, 830, 704, 768, -1,
 706, 705, 593, -1, 771, 707, 986, -1, 986, 707, 339, -1,
 339, 707, 595, -1, 339, 595, 338, -1, 336, 337, 593, -1,
 593, 337, 594, -1, 593, 594, 706, -1, 768, 784, 830, -1,
 830, 784, 785, -1, 830, 785, 706, -1, 706, 785, 769, -1,
 706, 769, 705, -1, 924, 920, 928, -1, 928, 920, 916, -1,
 928, 916, 986, -1, 986, 916, 888, -1, 986, 888, 872, -1,
 831, 706, 854, -1, 854, 706, 770, -1, 854, 770, 872, -1,
 872, 770, 786, -1, 872, 786, 986, -1, 986, 786, 787, -1,
 986, 787, 771, -1, 830, 831, 834, -1, 834, 831, 835, -1,
 801, 800, 796, -1, 796, 800, 792, -1, 796, 792, 797, -1,
 797, 792, 793, -1, 1003, 991, 1049, -1, 1081, 1030, 1082, -1,
 1082, 1030, 1015, -1, 1082, 1015, 1031, -1, 1003, 1049, 1031, -1,
 1076, 1072, 1068, -1, 1077, 1082, 1073, -1, 1073, 1082, 1031, -1,
 1073, 1031, 1069, -1, 1069, 1031, 1049, -1, 1081, 1076, 1030, -1,
 1030, 1076, 1068, -1, 1030, 1068, 1002, -1, 1002, 1068, 1048, -1,
 1002, 1048, 990, -1, 982, 990, 978, -1, 978, 990, 1048, -1,
 978, 1048, 954, -1, 954, 1048, 974, -1, 954, 974, 950, -1,
 950, 974, 970, -1, 950, 970, 946, -1, 946, 970, 958, -1,
 946, 958, 942, -1, 942, 958, 938, -1, 942, 938, 801, -1,
 801, 938, 800, -1, 802, 803, 943, -1, 943, 803, 939, -1,
 943, 939, 947, -1, 947, 939, 959, -1, 947, 959, 951, -1,
 951, 959, 971, -1, 951, 971, 955, -1, 955, 971, 975, -1,
 955, 975, 979, -1, 979, 975, 1049, -1, 979, 1049, 983, -1,
 983, 1049, 991, -1, 1078, 1081, 1079, -1, 1079, 1081, 1082, -1,
 1079, 1082, 1080, -1, 886, 890, 896, -1, 894, 882, 884, -1,
 468, 469, 884, -1, 884, 469, 886, -1, 884, 886, 894, -1,
 894, 886, 896, -1, 907, 906, 910, -1, 910, 906, 912, -1,
 910, 912, 913, -1, 907, 910, 932, -1, 932, 910, 934, -1,
 1002, 1000, 1030, -1, 1030, 1000, 1028, -1, 1022, 1020, 1024, -1,
 1026, 1010, 1008, -1, 305, 294, 1008, -1, 1008, 294, 1022, -1,
 1008, 1022, 1026, -1, 1026, 1022, 1024, -1, 862, 860, 984, -1,
 984, 860, 994, -1, 984, 994, 992, -1, 992, 994, 996, -1,
 1089, 1062, 1091, -1, 1091, 1062, 1064, -1, 934, 1040, 932, -1,
 932, 1040, 1038, -1, 561, 291, 569, -1, 569, 291, 302, -1,
 688, 689, 696, -1, 696, 689, 697, -1, 290, 560, 301, -1,
 301, 560, 568, -1, 563, 293, 571, -1, 571, 293, 304, -1,
 699, 698, 691, -1, 691, 698, 690, -1, 292, 562, 303, -1,
 303, 562, 570, -1, 436, 382, 394, -1, 394, 382, 358, -1,
 394, 358, 370, -1, 370, 358, 346, -1, 370, 346, 352, -1,
 352, 346, 359, -1, 352, 359, 371, -1, 371, 359, 383, -1,
 371, 383, 395, -1, 395, 383, 420, -1, 395, 420, 437, -1,
 437, 420, 477, -1, 437, 477, 489, -1, 489, 477, 501, -1,
 489, 501, 513, -1, 513, 501, 524, -1, 513, 524, 530, -1,
 530, 524, 500, -1, 530, 500, 512, -1, 512, 500, 476, -1,
 512, 476, 488, -1, 488, 476, 418, -1, 488, 418, 436, -1,
 436, 418, 382, -1, 501, 477, 419, -1, 419, 477, 420, -1,
 419, 420, 383, -1, 476, 500, 419, -1, 419, 500, 524, -1,
 419, 524, 501, -1, 358, 382, 419, -1, 419, 382, 418, -1,
 419, 418, 476, -1, 383, 359, 419, -1, 419, 359, 346, -1,
 419, 346, 358, -1, 438, 384, 396, -1, 396, 384, 360, -1,
 396, 360, 372, -1, 372, 360, 347, -1, 372, 347, 353, -1,
 353, 347, 361, -1, 353, 361, 373, -1, 373, 361, 385, -1,
 373, 385, 397, -1, 397, 385, 423, -1, 397, 423, 439, -1,
 439, 423, 479, -1, 439, 479, 491, -1, 491, 479, 503, -1,
 491, 503, 515, -1, 515, 503, 525, -1, 515, 525, 531, -1,
 531, 525, 502, -1, 531, 502, 514, -1, 514, 502, 478, -1,
 514, 478, 490, -1, 490, 478, 421, -1, 490, 421, 438, -1,
 438, 421, 384, -1, 503, 479, 422, -1, 422, 479, 423, -1,
 422, 423, 385, -1, 478, 502, 422, -1, 422, 502, 525, -1,
 422, 525, 503, -1, 360, 384, 422, -1, 422, 384, 421, -1,
 422, 421, 478, -1, 385, 361, 422, -1, 422, 361, 347, -1,
 422, 347, 360, -1, 440, 386, 398, -1, 398, 386, 362, -1,
 398, 362, 374, -1, 374, 362, 348, -1, 374, 348, 354, -1,
 354, 348, 363, -1, 354, 363, 375, -1, 375, 363, 387, -1,
 375, 387, 399, -1, 399, 387, 426, -1, 399, 426, 441, -1,
 441, 426, 481, -1, 441, 481, 493, -1, 493, 481, 505, -1,
 493, 505, 517, -1, 517, 505, 526, -1, 517, 526, 532, -1,
 532, 526, 504, -1, 532, 504, 516, -1, 516, 504, 480, -1,
 516, 480, 492, -1, 492, 480, 424, -1, 492, 424, 440, -1,
 440, 424, 386, -1, 505, 481, 425, -1, 425, 481, 426, -1,
 425, 426, 387, -1, 480, 504, 425, -1, 425, 504, 526, -1,
 425, 526, 505, -1, 362, 386, 425, -1, 425, 386, 424, -1,
 425, 424, 480, -1, 387, 363, 425, -1, 425, 363, 348, -1,
 425, 348, 362, -1, 966, 964, 936, -1, 936, 964, 792, -1,
 936, 792, 938, -1, 938, 792, 800, -1, 1046, 972, 1048, -1,
 1048, 972, 974, -1, 1048, 1068, 1046, -1, 1046, 1068, 1066, -1,
 978, 954, 976, -1, 976, 954, 952, -1, 796, 940, 801, -1,
 801, 940, 942, -1, 980, 820, 988, -1, 988, 820, 1000, -1,
 952, 948, 944, -1, 797, 806, 810, -1, 797, 976, 796, -1,
 796, 976, 952, -1, 796, 952, 940, -1, 940, 952, 944, -1,
 980, 976, 820, -1, 820, 976, 797, -1, 820, 797, 816, -1,
 816, 797, 810, -1, 930, 928, 1010, -1, 1010, 928, 986, -1,
 1010, 986, 998, -1, 998, 1004, 1010, -1, 1010, 1004, 1006, -1,
 1010, 1006, 1008, -1, 888, 916, 891, -1, 891, 916, 918, -1,
 910, 913, 960, -1, 960, 913, 962, -1, 1012, 996, 994, -1,
 1012, 994, 1018, -1, 994, 1016, 1018, -1, 1018, 1016, 1020, -1,
 1018, 1020, 1022, -1, 992, 996, 283, -1, 283, 996, 1012, -1,
 283, 1012, 294, -1, 294, 1012, 1018, -1, 294, 1018, 1022, -1,
 283, 272, 992, -1, 992, 272, 261, -1, 992, 261, 984, -1,
 42, 132, 90, -1, 90, 132, 178, -1, 90, 178, 189, -1,
 189, 178, 238, -1, 189, 238, 294, -1, 132, 261, 178, -1,
 178, 261, 272, -1, 178, 272, 238, -1, 238, 272, 283, -1,
 238, 283, 294, -1, 5, 42, 53, -1, 53, 42, 90, -1,
 53, 90, 143, -1, 143, 90, 189, -1, 143, 189, 294, -1,
 5, 4, 41, -1, 5, 41, 42, -1, 42, 41, 131, -1,
 42, 131, 132, -1, 132, 131, 260, -1, 132, 260, 261, -1,
 294, 305, 154, -1, 294, 154, 143, -1, 143, 154, 64, -1,
 143, 64, 53, -1, 53, 64, 17, -1, 53, 17, 5, -1,
 986, 339, 327, -1, 986, 327, 998, -1, 998, 327, 316, -1,
 998, 316, 1004, -1, 1004, 316, 1006, -1, 1006, 316, 305, -1,
 1006, 305, 1008, -1, 113, 142, 188, -1, 293, 282, 237, -1,
 31, 52, 89, -1, 89, 52, 113, -1, 113, 188, 89, -1,
 89, 188, 237, -1, 89, 237, 177, -1, 177, 237, 282, -1,
 177, 282, 271, -1, 41, 4, 31, -1, 31, 89, 41, -1,
 41, 89, 177, -1, 41, 177, 131, -1, 131, 177, 271, -1,
 131, 271, 260, -1, 188, 293, 237, -1, 142, 223, 188, -1,
 188, 223, 293, -1, 165, 75, 211, -1, 211, 75, 101, -1,
 211, 101, 249, -1, 249, 101, 200, -1, 249, 200, 305, -1,
 75, 17, 101, -1, 101, 17, 64, -1, 101, 64, 200, -1,
 200, 64, 154, -1, 200, 154, 305, -1, 339, 165, 327, -1,
 327, 165, 211, -1, 327, 211, 316, -1, 316, 211, 249, -1,
 316, 249, 305, -1, 539, 260, 271, -1, 539, 271, 547, -1,
 547, 271, 282, -1, 547, 282, 555, -1, 555, 282, 293, -1,
 555, 293, 563, -1, 16, 35, 4, -1, 4, 35, 31, -1,
 31, 35, 52, -1, 52, 35, 63, -1, 52, 63, 113, -1,
 113, 63, 117, -1, 113, 117, 142, -1, 142, 117, 153, -1,
 142, 153, 223, -1, 153, 227, 223, -1, 223, 227, 304, -1,
 223, 304, 293, -1, 339, 338, 164, -1, 339, 164, 165, -1,
 165, 164, 74, -1, 165, 74, 75, -1, 75, 74, 16, -1,
 75, 16, 17, -1, 563, 603, 555, -1, 555, 603, 619, -1,
 555, 619, 547, -1, 547, 619, 635, -1, 547, 635, 539, -1,
 539, 635, 683, -1, 603, 651, 619, -1, 619, 651, 667, -1,
 619, 667, 635, -1, 635, 667, 731, -1, 635, 731, 683, -1,
 683, 731, 763, -1, 651, 691, 667, -1, 667, 691, 715, -1,
 667, 715, 731, -1, 731, 715, 747, -1, 731, 747, 763, -1,
 763, 747, 779, -1, 338, 326, 210, -1, 326, 315, 248, -1,
 199, 304, 227, -1, 248, 304, 199, -1, 326, 248, 210, -1,
 210, 248, 199, -1, 210, 199, 100, -1, 315, 304, 248, -1,
 227, 153, 199, -1, 199, 153, 117, -1, 199, 117, 100, -1,
 100, 117, 63, -1, 100, 63, 35, -1, 338, 210, 164, -1,
 164, 210, 100, -1, 164, 100, 74, -1, 74, 100, 35, -1,
 74, 35, 16, -1, 778, 779, 747, -1, 778, 747, 746, -1,
 746, 747, 715, -1, 746, 715, 714, -1, 714, 715, 691, -1,
 714, 691, 690, -1, 563, 571, 603, -1, 603, 571, 611, -1,
 603, 611, 651, -1, 651, 611, 659, -1, 651, 659, 691, -1,
 691, 659, 699, -1, 571, 304, 315, -1, 571, 315, 579, -1,
 579, 315, 326, -1, 579, 326, 587, -1, 587, 326, 338, -1,
 587, 338, 595, -1, 690, 650, 714, -1, 714, 650, 666, -1,
 714, 666, 746, -1, 746, 666, 730, -1, 746, 730, 778, -1,
 778, 730, 762, -1, 650, 602, 666, -1, 666, 602, 618, -1,
 666, 618, 730, -1, 730, 618, 634, -1, 730, 634, 762, -1,
 762, 634, 682, -1, 602, 562, 618, -1, 618, 562, 554, -1,
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 65, 102, 155, -1, 155, 102, 201, -1, 155, 201, 306, -1,
 564, 296, 285, -1, 564, 285, 556, -1, 556, 285, 274, -1,
 556, 274, 548, -1, 548, 274, 263, -1, 548, 263, 540, -1,
 307, 228, 296, -1, 296, 228, 224, -1, 224, 228, 145, -1,
 145, 228, 156, -1, 145, 156, 114, -1, 114, 156, 118, -1,
 114, 118, 55, -1, 55, 118, 66, -1, 55, 66, 32, -1,
 66, 36, 32, -1, 32, 36, 19, -1, 32, 19, 7, -1,
 18, 19, 77, -1, 18, 77, 76, -1, 76, 77, 167, -1,
 76, 167, 166, -1, 166, 167, 341, -1, 166, 341, 340, -1,
 692, 652, 716, -1, 716, 652, 668, -1, 716, 668, 748, -1,
 748, 668, 732, -1, 748, 732, 780, -1, 780, 732, 764, -1,
 652, 604, 668, -1, 668, 604, 620, -1, 668, 620, 732, -1,
 732, 620, 636, -1, 732, 636, 764, -1, 764, 636, 684, -1,
 604, 564, 620, -1, 620, 564, 556, -1, 620, 556, 636, -1,
 636, 556, 548, -1, 636, 548, 684, -1, 684, 548, 540, -1,
 118, 156, 202, -1, 307, 318, 251, -1, 36, 66, 103, -1,
 103, 66, 118, -1, 118, 202, 103, -1, 103, 202, 251, -1,
 103, 251, 213, -1, 213, 251, 318, -1, 213, 318, 329, -1,
 77, 19, 36, -1, 36, 103, 77, -1, 77, 103, 213, -1,
 77, 213, 167, -1, 167, 213, 329, -1, 167, 329, 341, -1,
 202, 307, 251, -1, 156, 228, 202, -1, 202, 228, 307, -1,
 693, 692, 716, -1, 693, 716, 717, -1, 717, 716, 748, -1,
 717, 748, 749, -1, 749, 748, 780, -1, 749, 780, 781, -1,
 692, 700, 652, -1, 652, 700, 660, -1, 652, 660, 604, -1,
 604, 660, 612, -1, 604, 612, 564, -1, 564, 612, 572, -1,
 596, 341, 329, -1, 596, 329, 588, -1, 588, 329, 318, -1,
 588, 318, 580, -1, 580, 318, 307, -1, 580, 307, 572, -1,
 565, 605, 557, -1, 557, 605, 621, -1, 557, 621, 549, -1,
 549, 621, 637, -1, 549, 637, 541, -1, 541, 637, 685, -1,
 605, 653, 621, -1, 621, 653, 669, -1, 621, 669, 637, -1,
 637, 669, 733, -1, 637, 733, 685, -1, 685, 733, 765, -1,
 653, 693, 669, -1, 669, 693, 717, -1, 669, 717, 733, -1,
 733, 717, 749, -1, 733, 749, 765, -1, 765, 749, 781, -1,
 572, 612, 580, -1, 580, 612, 628, -1, 580, 628, 588, -1,
 588, 628, 644, -1, 588, 644, 596, -1, 596, 644, 708, -1,
 612, 660, 628, -1, 628, 660, 676, -1, 628, 676, 644, -1,
 644, 676, 740, -1, 644, 740, 708, -1, 708, 740, 772, -1,
 660, 700, 676, -1, 676, 700, 724, -1, 676, 724, 740, -1,
 740, 724, 756, -1, 740, 756, 772, -1, 772, 756, 788, -1,
 297, 565, 557, -1, 297, 557, 286, -1, 286, 557, 549, -1,
 286, 549, 275, -1, 275, 549, 541, -1, 275, 541, 264, -1,
 565, 573, 605, -1, 605, 573, 613, -1, 605, 613, 653, -1,
 653, 613, 661, -1, 653, 661, 693, -1, 693, 661, 701, -1,
 789, 788, 756, -1, 789, 756, 757, -1, 757, 756, 724, -1,
 757, 724, 725, -1, 725, 724, 700, -1, 725, 700, 701, -1,
 299, 567, 559, -1, 299, 559, 288, -1, 288, 559, 551, -1,
 288, 551, 277, -1, 277, 551, 543, -1, 277, 543, 266, -1,
 135, 45, 181, -1, 181, 45, 93, -1, 181, 93, 241, -1,
 241, 93, 192, -1, 241, 192, 297, -1, 45, 8, 93, -1,
 93, 8, 56, -1, 93, 56, 192, -1, 192, 56, 146, -1,
 192, 146, 297, -1, 264, 135, 275, -1, 275, 135, 181, -1,
 275, 181, 286, -1, 286, 181, 241, -1, 286, 241, 297, -1,
 701, 661, 725, -1, 725, 661, 677, -1, 725, 677, 757, -1,
 757, 677, 741, -1, 757, 741, 789, -1, 789, 741, 773, -1,
 661, 613, 677, -1, 677, 613, 629, -1, 677, 629, 741, -1,
 741, 629, 645, -1, 741, 645, 773, -1, 773, 645, 709, -1,
 613, 573, 629, -1, 629, 573, 581, -1, 629, 581, 645, -1,
 645, 581, 589, -1, 645, 589, 709, -1, 709, 589, 597, -1,
 10, 22, 69, -1, 10, 69, 58, -1, 58, 69, 159, -1,
 58, 159, 148, -1, 148, 159, 310, -1, 148, 310, 299, -1,
 567, 607, 559, -1, 559, 607, 623, -1, 559, 623, 551, -1,
 551, 623, 639, -1, 551, 639, 543, -1, 543, 639, 687, -1,
 607, 655, 623, -1, 623, 655, 671, -1, 623, 671, 639, -1,
 639, 671, 735, -1, 639, 735, 687, -1, 687, 735, 767, -1,
 655, 695, 671, -1, 671, 695, 719, -1, 671, 719, 735, -1,
 735, 719, 751, -1, 735, 751, 767, -1, 767, 751, 783, -1,
 264, 265, 136, -1, 264, 136, 135, -1, 135, 136, 46, -1,
 135, 46, 45, -1, 45, 46, 9, -1, 45, 9, 8, -1,
 8, 20, 67, -1, 8, 67, 56, -1, 56, 67, 157, -1,
 56, 157, 146, -1, 146, 157, 308, -1, 146, 308, 297, -1,
 342, 597, 589, -1, 342, 589, 330, -1, 330, 589, 581, -1,
 330, 581, 319, -1, 319, 581, 573, -1, 319, 573, 308, -1,
 344, 599, 591, -1, 344, 591, 332, -1, 332, 591, 583, -1,
 332, 583, 321, -1, 321, 583, 575, -1, 321, 575, 310, -1,
 567, 575, 607, -1, 607, 575, 615, -1, 607, 615, 655, -1,
 655, 615, 663, -1, 655, 663, 695, -1, 695, 663, 703, -1,
 695, 694, 718, -1, 695, 718, 719, -1, 719, 718, 750, -1,
 719, 750, 751, -1, 751, 750, 782, -1, 751, 782, 783, -1,
 566, 298, 287, -1, 566, 287, 558, -1, 558, 287, 276, -1,
 558, 276, 550, -1, 550, 276, 265, -1, 550, 265, 542, -1,
 265, 276, 182, -1, 276, 287, 242, -1, 193, 298, 225, -1,
 242, 298, 193, -1, 276, 242, 182, -1, 182, 242, 193, -1,
 182, 193, 94, -1, 287, 298, 242, -1, 225, 147, 193, -1,
 193, 147, 115, -1, 193, 115, 94, -1, 94, 115, 57, -1,
 94, 57, 33, -1, 265, 182, 136, -1, 136, 182, 94, -1,
 136, 94, 46, -1, 46, 94, 33, -1, 46, 33, 9, -1,
 78, 168, 104, -1, 104, 168, 214, -1, 104, 214, 203, -1,
 203, 214, 252, -1, 203, 252, 308, -1, 168, 342, 214, -1,
 214, 342, 330, -1, 214, 330, 252, -1, 252, 330, 319, -1,
 252, 319, 308, -1, 20, 78, 67, -1, 67, 78, 104, -1,
 67, 104, 157, -1, 157, 104, 203, -1, 157, 203, 308, -1,
 703, 663, 727, -1, 727, 663, 679, -1, 727, 679, 759, -1,
 759, 679, 743, -1, 759, 743, 791, -1, 791, 743, 775, -1,
 663, 615, 679, -1, 679, 615, 631, -1, 679, 631, 743, -1,
 743, 631, 647, -1, 743, 647, 775, -1, 775, 647, 711, -1,
 615, 575, 631, -1, 631, 575, 583, -1, 631, 583, 647, -1,
 647, 583, 591, -1, 647, 591, 711, -1, 711, 591, 599, -1,
 694, 654, 718, -1, 718, 654, 670, -1, 718, 670, 750, -1,
 750, 670, 734, -1, 750, 734, 782, -1, 782, 734, 766, -1,
 654, 606, 670, -1, 670, 606, 622, -1, 670, 622, 734, -1,
 734, 622, 638, -1, 734, 638, 766, -1, 766, 638, 686, -1,
 606, 566, 622, -1, 622, 566, 558, -1, 622, 558, 638, -1,
 638, 558, 550, -1, 638, 550, 686, -1, 686, 550, 542, -1,
 309, 229, 298, -1, 298, 229, 225, -1, 225, 229, 147, -1,
 147, 229, 158, -1, 147, 158, 115, -1, 115, 158, 119, -1,
 115, 119, 57, -1, 57, 119, 68, -1, 57, 68, 33, -1,
 68, 37, 33, -1, 33, 37, 21, -1, 33, 21, 9, -1,
 20, 21, 79, -1, 20, 79, 78, -1, 78, 79, 169, -1,
 78, 169, 168, -1, 168, 169, 343, -1, 168, 343, 342, -1,
 791, 790, 758, -1, 791, 758, 759, -1, 759, 758, 726, -1,
 759, 726, 727, -1, 727, 726, 702, -1, 727, 702, 703, -1,
 694, 702, 654, -1, 654, 702, 662, -1, 654, 662, 606, -1,
 606, 662, 614, -1, 606, 614, 566, -1, 566, 614, 574, -1,
 119, 158, 204, -1, 309, 320, 253, -1, 37, 68, 105, -1,
 105, 68, 119, -1, 119, 204, 105, -1, 105, 204, 253, -1,
 105, 253, 215, -1, 215, 253, 320, -1, 215, 320, 331, -1,
 79, 21, 37, -1, 37, 105, 79, -1, 79, 105, 215, -1,
 79, 215, 169, -1, 169, 215, 331, -1, 169, 331, 343, -1,
 204, 309, 253, -1, 158, 229, 204, -1, 204, 229, 309, -1,
 574, 614, 582, -1, 582, 614, 630, -1, 582, 630, 590, -1,
 590, 630, 646, -1, 590, 646, 598, -1, 598, 646, 710, -1,
 614, 662, 630, -1, 630, 662, 678, -1, 630, 678, 646, -1,
 646, 678, 742, -1, 646, 742, 710, -1, 710, 742, 774, -1,
 662, 702, 678, -1, 678, 702, 726, -1, 678, 726, 742, -1,
 742, 726, 758, -1, 742, 758, 774, -1, 774, 758, 790, -1,
 598, 343, 331, -1, 598, 331, 590, -1, 590, 331, 320, -1,
 590, 320, 582, -1, 582, 320, 309, -1, 582, 309, 574, -1,
 1063, 1065, 1053, -1, 1053, 1065, 1055, -1, 1053, 1055, 1039, -1,
 1039, 1055, 1041, -1, 824, 828, 845, -1, 824, 845, 843, -1,
 843, 845, 863, -1, 843, 863, 861, -1, 955, 953, 951, -1,
 951, 953, 949, -1, 951, 949, 947, -1, 947, 949, 945, -1,
 947, 945, 943, -1, 943, 945, 941, -1, 977, 979, 983, -1,
 977, 983, 981, -1, 981, 983, 991, -1, 981, 991, 989, -1,
 989, 991, 1003, -1, 989, 1003, 1001, -1, 1069, 1067, 1071, -1,
 1069, 1071, 1073, -1, 1073, 1071, 1075, -1, 1073, 1075, 1077, -1,
 1077, 1075, 1080, -1, 1077, 1080, 1082, -1, 973, 975, 971, -1,
 973, 971, 969, -1, 969, 971, 959, -1, 969, 959, 957, -1,
 957, 959, 939, -1, 957, 939, 937, -1, 1029, 1043, 1001, -1,
 1001, 1043, 819, -1, 1001, 819, 821, -1, 815, 813, 811, -1,
 798, 807, 794, -1, 794, 807, 805, -1, 811, 813, 807, -1,
 807, 813, 809, -1, 807, 809, 805, -1, 815, 811, 819, -1,
 819, 811, 817, -1, 819, 817, 821, -1, 1051, 809, 813, -1,
 1051, 813, 1045, -1, 813, 815, 1045, -1, 1045, 815, 819, -1,
 1045, 819, 1043, -1, 887, 893, 877, -1, 887, 877, 871, -1,
 871, 877, 859, -1, 871, 859, 853, -1, 837, 833, 859, -1,
 859, 833, 841, -1, 859, 841, 853, -1, 829, 825, 839, -1,
 839, 825, 847, -1, 839, 847, 848, -1, 848, 847, 851, -1,
 851, 847, 865, -1, 851, 865, 867, -1, 867, 865, 869, -1,
 869, 865, 879, -1, 869, 879, 881, -1, 881, 879, 883, -1,
 881, 883, 885, -1, 909, 915, 905, -1, 909, 905, 903, -1,
 903, 905, 901, -1, 903, 901, 899, -1, 899, 901, 897, -1,
 899, 897, 895, -1, 931, 929, 927, -1, 927, 929, 925, -1,
 927, 925, 923, -1, 923, 925, 921, -1, 923, 921, 919, -1,
 919, 921, 917, -1, 892, 889, 873, -1, 892, 873, 876, -1,
 876, 873, 855, -1, 876, 855, 858, -1, 858, 855, 832, -1,
 858, 832, 836, -1, 406, 108, 407, -1, 407, 108, 109, -1,
 2081, 2155, 2033, -1, 2033, 2155, 2131, -1, 2033, 2131, 2007, -1,
 2007, 2131, 2045, -1, 2007, 2045, 1947, -1, 2155, 2205, 2131, -1,
 2131, 2205, 2167, -1, 2131, 2167, 2045, -1, 2045, 2167, 2093, -1,
 2045, 2093, 1947, -1, 1911, 2081, 1923, -1, 1923, 2081, 2033, -1,
 1923, 2033, 1935, -1, 1935, 2033, 2007, -1, 1935, 2007, 1947, -1,
 1408, 1946, 1934, -1, 1408, 1934, 1422, -1, 1422, 1934, 1922, -1,
 1422, 1922, 1439, -1, 1910, 1462, 1922, -1, 1922, 1462, 1454, -1,
 1922, 1454, 1439, -1, 1911, 1910, 2080, -1, 1911, 2080, 2081, -1,
 2081, 2080, 2154, -1, 2081, 2154, 2155, -1, 2155, 2154, 2204, -1,
 2155, 2204, 2205, -1, 1910, 1922, 2032, -1, 1946, 2092, 2044, -1,
 1922, 2006, 2032, -1, 2032, 2006, 2044, -1, 2032, 2044, 2130, -1,
 2130, 2044, 2092, -1, 2130, 2092, 2166, -1, 1910, 2032, 2080, -1,
 2080, 2032, 2130, -1, 2080, 2130, 2154, -1, 2154, 2130, 2166, -1,
 2154, 2166, 2204, -1, 2006, 1946, 2044, -1, 1922, 1934, 2006, -1,
 2006, 1934, 1946, -1, 1466, 1994, 1456, -1, 1456, 1994, 1982, -1,
 1456, 1982, 1441, -1, 1441, 1982, 1970, -1, 1441, 1970, 1424, -1,
 1424, 1970, 1958, -1, 1424, 1958, 1410, -1, 2216, 2204, 2166, -1,
 2216, 2166, 2178, -1, 2178, 2166, 2092, -1, 2178, 2092, 2104, -1,
 2104, 2092, 1946, -1, 2104, 1946, 1958, -1, 2216, 2178, 2142, -1,
 1958, 1970, 2018, -1, 2178, 2056, 2142, -1, 2142, 2056, 2018, -1,
 2142, 2018, 2068, -1, 2068, 2018, 1970, -1, 2068, 1970, 1982, -1,
 2216, 2142, 2190, -1, 2190, 2142, 2068, -1, 2190, 2068, 2116, -1,
 2116, 2068, 1982, -1, 2116, 1982, 1994, -1, 2056, 1958, 2018, -1,
 2178, 2104, 2056, -1, 2056, 2104, 1958, -1, 2217, 2216, 2190, -1,
 2217, 2190, 2191, -1, 2191, 2190, 2116, -1, 2191, 2116, 2117, -1,
 2117, 2116, 1994, -1, 2117, 1994, 1995, -1, 2191, 2117, 2143, -1,
 2143, 2117, 2069, -1, 2143, 2069, 2057, -1, 2057, 2069, 2019, -1,
 2057, 2019, 1959, -1, 2117, 1995, 2069, -1, 2069, 1995, 1983, -1,
 2069, 1983, 2019, -1, 2019, 1983, 1971, -1, 2019, 1971, 1959, -1,
 2217, 2191, 2179, -1, 2179, 2191, 2143, -1, 2179, 2143, 2105, -1,
 2105, 2143, 2057, -1, 2105, 2057, 1959, -1, 1920, 1932, 2042, -1,
 1956, 2102, 2054, -1, 1932, 2016, 2042, -1, 2042, 2016, 2054, -1,
 2042, 2054, 2140, -1, 2140, 2054, 2102, -1, 2140, 2102, 2176, -1,
 1920, 2042, 2090, -1, 2090, 2042, 2140, -1, 2090, 2140, 2164, -1,
 2164, 2140, 2176, -1, 2164, 2176, 2214, -1, 2016, 1956, 2054, -1,
 1932, 1944, 2016, -1, 2016, 1944, 1956, -1, 2214, 2215, 2165, -1,
 2214, 2165, 2164, -1, 2164, 2165, 2091, -1, 2164, 2091, 2090, -1,
 2090, 2091, 1921, -1, 2090, 1921, 1920, -1, 1465, 1921, 1455, -1,
 1455, 1921, 1933, -1, 1455, 1933, 1440, -1, 1440, 1933, 1945, -1,
 1440, 1945, 1423, -1, 1423, 1945, 1957, -1, 1423, 1957, 1409, -1,
 2030, 1957, 2055, -1, 2215, 2202, 2165, -1, 2165, 2202, 2141, -1,
 2091, 2165, 2043, -1, 2043, 2165, 2141, -1, 2043, 2141, 2017, -1,
 2017, 2141, 2055, -1, 2017, 2055, 1957, -1, 2202, 2177, 2141, -1,
 2141, 2177, 2128, -1, 2141, 2128, 2055, -1, 2055, 2128, 2103, -1,
 2055, 2103, 2030, -1, 1921, 2091, 1933, -1, 1933, 2091, 2043, -1,
 1933, 2043, 1945, -1, 1945, 2043, 2017, -1, 1945, 2017, 1957, -1,
 1957, 2030, 1969, -1, 1969, 2030, 2031, -1, 2031, 2030, 2115, -1,
 2115, 2030, 2103, -1, 2115, 2103, 2129, -1, 2129, 2103, 2128, -1,
 2129, 2128, 2189, -1, 2189, 2128, 2177, -1, 2189, 2177, 2203, -1,
 2177, 2202, 2203, -1, 2203, 2202, 2215, -1, 2203, 2215, 2227, -1,
 1981, 1425, 1969, -1, 1969, 1425, 1418, -1, 1969, 1418, 1411, -1,
 2005, 1469, 1993, -1, 1993, 1469, 1457, -1, 1457, 1448, 1993, -1,
 1993, 1448, 1442, -1, 1993, 1442, 1981, -1, 1981, 1442, 1431, -1,
 1981, 1431, 1425, -1, 2079, 2127, 2005, -1, 2153, 2201, 2127, -1,
 2227, 2201, 2203, -1, 2203, 2201, 2153, -1, 2203, 2153, 2189, -1,
 2189, 2153, 2129, -1, 2127, 2079, 2153, -1, 2153, 2079, 2067, -1,
 2153, 2067, 2129, -1, 1969, 2031, 2067, -1, 2067, 2031, 2115, -1,
 2067, 2115, 2129, -1, 2005, 1993, 2079, -1, 2079, 1993, 2029, -1,
 2079, 2029, 2067, -1, 2067, 2029, 1969, -1, 1993, 1981, 2029, -1,
 2029, 1981, 1969, -1, 2004, 2005, 2127, -1, 2004, 2127, 2126, -1,
 2126, 2127, 2201, -1, 2126, 2201, 2200, -1, 2200, 2201, 2227, -1,
 2200, 2227, 2226, -1, 2226, 2188, 2152, -1, 1968, 1980, 2028, -1,
 2188, 2066, 2152, -1, 2152, 2066, 2028, -1, 2152, 2028, 2078, -1,
 2078, 2028, 1980, -1, 2078, 1980, 1992, -1, 2226, 2152, 2200, -1,
 2200, 2152, 2078, -1, 2200, 2078, 2126, -1, 2126, 2078, 1992, -1,
 2126, 1992, 2004, -1, 2066, 1968, 2028, -1, 2188, 2114, 2066, -1,
 2066, 2114, 1968, -1, 10, 58, 95, -1, 299, 288, 243, -1,
 58, 194, 95, -1, 95, 194, 243, -1, 95, 243, 183, -1,
 183, 243, 288, -1, 183, 288, 277, -1, 10, 95, 47, -1,
 47, 95, 183, -1, 47, 183, 137, -1, 137, 183, 277, -1,
 137, 277, 266, -1, 194, 299, 243, -1, 58, 148, 194, -1,
 194, 148, 299, -1, 289, 869, 300, -1, 300, 869, 881, -1,
 300, 881, 885, -1, 267, 829, 278, -1, 278, 829, 839, -1,
 839, 848, 278, -1, 278, 848, 851, -1, 278, 851, 289, -1,
 289, 851, 867, -1, 289, 867, 869, -1, 266, 267, 138, -1,
 266, 138, 137, -1, 137, 138, 48, -1, 137, 48, 47, -1,
 47, 48, 11, -1, 47, 11, 10, -1, 48, 138, 96, -1,
 96, 138, 184, -1, 96, 184, 195, -1, 195, 184, 244, -1,
 195, 244, 300, -1, 138, 267, 184, -1, 184, 267, 278, -1,
 184, 278, 244, -1, 244, 278, 289, -1, 244, 289, 300, -1,
 11, 48, 59, -1, 59, 48, 96, -1, 59, 96, 149, -1,
 149, 96, 195, -1, 149, 195, 300, -1, 833, 345, 841, -1,
 841, 345, 333, -1, 841, 333, 853, -1, 853, 333, 322, -1,
 853, 322, 871, -1, 871, 322, 311, -1, 871, 311, 887, -1,
 23, 11, 59, -1, 23, 59, 70, -1, 70, 59, 149, -1,
 70, 149, 160, -1, 160, 149, 300, -1, 160, 300, 311, -1,
 171, 81, 217, -1, 217, 81, 107, -1, 217, 107, 255, -1,
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