G:= PermutationGroup<2996 | \[ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 1, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 155, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 252, 254, 256, 258, 260, 262, 264, 153, 267, 269, 271, 273, 275, 277, 279, 281, 282, 284, 286, 288, 290, 292, 294, 296, 298, 300, 302, 304, 306, 308, 159, 311, 313, 315, 316, 318, 320, 322, 324, 326, 328, 330, 332, 334, 336, 338, 340, 278, 343, 344, 346, 348, 349, 39, 352, 354, 356, 358, 359, 361, 363, 364, 366, 368, 370, 372, 374, 375, 377, 379, 365, 337, 382, 384, 386, 388, 390, 392, 394, 396, 397, 399, 401, 403, 405, 407, 409, 411, 413, 415, 417, 418, 420, 285, 423, 425, 427, 429, 430, 432, 434, 436, 438, 440, 442, 444, 446, 419, 449, 451, 453, 455, 456, 458, 460, 462, 464, 466, 468, 470, 471, 472, 474, 291, 477, 479, 481, 483, 387, 486, 488, 490, 492, 494, 469, 497, 499, 501, 503, 505, 507, 509, 480, 512, 514, 516, 263, 519, 521, 523, 525, 526, 528, 435, 531, 533, 535, 536, 538, 540, 542, 544, 546, 548, 550, 552, 554, 556, 558, 559, 561, 563, 565, 567, 25, 570, 572, 485, 575, 577, 579, 581, 583, 584, 586, 587, 589, 591, 592, 594, 596, 598, 600, 602, 604, 606, 608, 609, 611, 613, 614, 616, 378, 619, 621, 617, 623, 625, 627, 629, 631, 633, 635, 601, 637, 639, 641, 643, 645, 172, 648, 650, 652, 167, 655, 657, 659, 661, 663, 665, 666, 668, 169, 671, 672, 673, 476, 675, 677, 679, 681, 683, 685, 687, 406, 690, 691, 693, 695, 257, 697, 699, 701, 703, 705, 707, 708, 710, 712, 714, 715, 716, 487, 719, 721, 723, 725, 689, 728, 730, 317, 502, 734, 736, 109, 739, 741, 743, 745, 747, 749, 750, 752, 754, 560, 473, 757, 759, 761, 762, 763, 765, 767, 769, 770, 772, 774, 776, 778, 780, 45, 783, 785, 537, 788, 790, 791, 793, 794, 795, 17, 798, 800, 802, 640, 805, 807, 809, 811, 813, 815, 816, 818, 820, 822, 823, 824, 826, 638, 829, 443, 768, 833, 100, 836, 838, 840, 842, 843, 49, 846, 848, 850, 851, 853, 855, 856, 858, 859, 861, 862, 864, 353, 676, 868, 870, 744, 873, 875, 664, 877, 879, 327, 882, 884, 885, 886, 887, 888, 669, 890, 892, 894, 896, 508, 898, 225, 73, 900, 901, 903, 904, 906, 908, 910, 889, 912, 914, 916, 918, 920, 922, 923, 925, 927, 928, 792, 931, 933, 35, 935, 139, 937, 939, 500, 941, 943, 812, 945, 947, 949, 532, 952, 954, 956, 958, 959, 961, 963, 965, 967, 968, 188, 970, 972, 973, 694, 975, 977, 979, 981, 983, 545, 985, 828, 612, 988, 989, 991, 993, 995, 996, 998, 1000, 1002, 1004, 1006, 1008, 1010, 1012, 1013, 1014, 272, 1015, 1017, 557, 1020, 1022, 1024, 966, 1026, 1028, 1030, 562, 1033, 1035, 192, 410, 1039, 1041, 1043, 1044, 1045, 1047, 1048, 261, 373, 235, 1051, 742, 746, 1054, 1056, 1058, 1060, 1062, 75, 1064, 1066, 735, 517, 1069, 1071, 441, 1074, 450, 620, 1076, 200, 1079, 1081, 1083, 1084, 1086, 1021, 605, 1089, 1090, 971, 1092, 1068, 1095, 1034, 1098, 357, 1100, 1102, 1103, 1105, 1107, 1109, 1111, 1113, 962, 1116, 385, 955, 1119, 796, 1121, 1123, 1125, 1127, 1128, 1129, 1130, 1132, 1134, 1136, 1138, 369, 1140, 1142, 731, 1145, 1147, 1148, 1150, 1152, 709, 1155, 951, 1156, 580, 102, 992, 404, 662, 1163, 1165, 1167, 1169, 1170, 1171, 1172, 210, 1175, 1177, 1179, 1181, 293, 1183, 1185, 1186, 1187, 1189, 1191, 1192, 1194, 1196, 1198, 1200, 1201, 1202, 1204, 738, 1108, 854, 1208, 1210, 1212, 1213, 1214, 1215, 1049, 151, 1216, 1218, 1220, 1221, 1222, 1224, 1226, 1227, 1229, 1231, 1233, 1234, 1236, 1237, 333, 1240, 1242, 1067, 1244, 265, 1247, 96, 817, 844, 1228, 19, 1252, 1254, 1255, 1257, 1259, 1261, 184, 1263, 1265, 63, 1267, 1269, 1271, 174, 1273, 568, 1120, 1277, 1279, 289, 1246, 1282, 1284, 1286, 1288, 1190, 1290, 1292, 1294, 1296, 1154, 711, 1299, 1301, 1302, 1304, 1306, 1307, 860, 1310, 1312, 825, 852, 1316, 121, 498, 590, 529, 1319, 1321, 1323, 1324, 1326, 1328, 1330, 325, 1332, 1334, 1336, 1338, 1225, 1340, 1341, 393, 849, 976, 1344, 1346, 251, 1197, 1164, 1348, 1350, 1351, 1353, 1355, 1356, 1358, 194, 1073, 309, 1352, 1361, 615, 1025, 355, 1331, 576, 1366, 43, 1369, 1370, 1099, 1372, 1374, 924, 208, 1376, 303, 1378, 1203, 680, 1381, 1382, 1383, 29, 426, 1386, 233, 1389, 1390, 1392, 129, 461, 223, 1397, 1399, 319, 1046, 1402, 1404, 1406, 1408, 1410, 1412, 1414, 489, 1416, 696, 1418, 1207, 1420, 1422, 1424, 819, 1426, 1427, 821, 1016, 1430, 1431, 658, 1339, 1396, 1434, 1436, 1438, 766, 1441, 718, 345, 582, 1444, 1445, 1447, 1448, 1450, 1452, 1454, 1184, 1455, 1457, 1459, 1461, 493, 1462, 942, 1264, 1466, 1467, 1469, 1470, 1472, 1474, 599, 1476, 202, 1478, 1443, 1480, 1482, 414, 1413, 1485, 245, 1488, 1489, 595, 1456, 874, 1492, 1449, 773, 1494, 1495, 335, 1497, 459, 1500, 1502, 465, 551, 71, 1504, 929, 1507, 1104, 1508, 1509, 143, 1510, 986, 1512, 1513, 969, 1516, 1518, 1520, 1522, 654, 1524, 1526, 1528, 1082, 59, 1530, 758, 1532, 1534, 221, 1059, 1363, 1537, 135, 1539, 1540, 1040, 1541, 1377, 463, 948, 1544, 1249, 646, 1548, 1550, 1552, 1554, 1555, 1557, 713, 1558, 1559, 1429, 1562, 47, 1564, 1565, 65, 1260, 1569, 1031, 1571, 1572, 1173, 211, 1575, 1576, 1578, 1579, 1501, 1479, 1580, 1536, 1581, 1583, 1143, 69, 803, 515, 1587, 1589, 1591, 1592, 1594, 1596, 1117, 178, 1598, 1477, 1601, 1602, 905, 1605, 1157, 808, 1608, 1609, 524, 1603, 1435, 1612, 1613, 847, 452, 1096, 1617, 85, 1619, 1620, 1621, 1549, 219, 1624, 1626, 1627, 1629, 1630, 957, 1632, 1634, 926, 1636, 1590, 1637, 1268, 229, 1468, 974, 506, 1091, 1641, 484, 1643, 482, 1595, 1646, 1320, 726, 1433, 227, 1649, 940, 1652, 717, 1547, 632, 1655, 1656, 953, 1658, 1531, 1660, 1662, 1250, 1664, 1199, 1133, 1667, 1023, 1669, 33, 1542, 1671, 1672, 1674, 55, 751, 1678, 1349, 362, 1417, 878, 1681, 1682, 376, 1275, 1685, 1622, 428, 381, 1687, 1689, 574, 1691, 1692, 119, 1523, 1694, 1696, 1698, 1699, 1499, 980, 1702, 215, 249, 1704, 161, 1706, 1707, 1709, 157, 204, 1593, 1333, 1713, 511, 1716, 1718, 1315, 457, 1036, 1442, 1723, 1724, 15, 1253, 1693, 764, 1708, 1728, 1729, 1122, 1730, 1731, 1733, 1735, 1283, 1126, 1738, 737, 1311, 1741, 1743, 1744, 1745, 1747, 1651, 1393, 1748, 1749, 1751, 1487, 950, 799, 1755, 1715, 1756, 1700, 1758, 564, 527, 367, 1760, 1762, 1763, 779, 1149, 1765, 1767, 1769, 700, 653, 1373, 1774, 578, 1097, 1011, 899, 11, 1779, 1473, 1057, 865, 839, 1778, 891, 92, 391, 1783, 1784, 243, 1243, 1538, 270, 573, 1787, 1388, 895, 863, 1400, 1256, 1298, 1792, 1794, 1796, 1797, 61, 1736, 1799, 1375, 1395, 1078, 213, 1803, 1804, 1805, 1807, 1808, 1809, 380, 1810, 1812, 1813, 1690, 1815, 1176, 1816, 23, 1817, 1001, 1820, 323, 777, 1139, 1824, 1371, 307, 1793, 310, 504, 295, 1657, 1827, 934, 1828, 1701, 1829, 1830, 1831, 1615, 1546, 881, 86, 1832, 1834, 1401, 841, 1837, 1839, 1841, 1251, 1628, 1785, 1842, 522, 1027, 1846, 1848, 1849, 801, 339, 1850, 1178, 1852, 1611, 1855, 1857, 1858, 113, 1859, 1335, 253, 1861, 341, 1863, 1623, 1864, 1866, 722, 1869, 1423, 1870, 1577, 1872, 115, 342, 1874, 1875, 1668, 1876, 1878, 1879, 921, 1230, 1882, 1318, 1385, 1180, 1885, 1160, 1886, 280, 1077, 57, 1877, 1887, 1856, 1888, 1061, 1483, 1890, 566, 1019, 1305, 104, 1893, 1776, 733, 1896, 1897, 930, 729, 1899, 1032, 408, 1357, 1791, 1903, 1904, 1905, 1118, 77, 1403, 1907, 1909, 1303, 287, 1910, 1211, 786, 1913, 1343, 1914, 569, 1245, 1916, 1917, 1821, 1209, 180, 1920, 1063, 1922, 1924, 1327, 1926, 1070, 237, 1635, 866, 1931, 1819, 1933, 297, 1661, 1936, 1757, 622, 1925, 1585, 1939, 1055, 835, 830, 1942, 1901, 1944, 1908, 27, 1946, 1947, 1193, 1949, 123, 1950, 1952, 1953, 1935, 684, 782, 137, 1673, 1956, 1770, 869, 1873, 1300, 1789, 1958, 1274, 1961, 1962, 1964, 1285, 1965, 1966, 642, 1968, 1291, 1970, 1971, 1644, 1973, 1974, 1272, 1977, 1790, 553, 1978, 1979, 1798, 1981, 1521, 1921, 1650, 1281, 1325, 814, 190, 1955, 1362, 1984, 1985, 431, 1639, 1295, 626, 893, 1987, 1465, 1065, 1988, 1146, 1990, 88, 1992, 1895, 834, 421, 1754, 1906, 1996, 827, 1684, 1786, 1999, 312, 1050, 1080, 688, 2001, 2002, 2003, 2004, 1464, 1135, 2008, 1042, 2009, 2005, 932, 1833, 1597, 911, 1675, 871, 1883, 1088, 1586, 2010, 656, 1419, 872, 1948, 2012, 1235, 2014, 1993, 1018, 740, 13, 1854, 610, 1174, 1726, 1932, 585, 704, 789, 2018, 268, 897, 1453, 491, 917, 1941, 1881, 1475, 2021, 753, 1625, 1633, 2022, 1902, 1560, 1845, 2024, 2025, 2026, 1072, 2028, 1365, 2029, 1052, 2031, 2033, 2034, 255, 1529, 2036, 674, 454, 1458, 231, 2037, 755, 1367, 301, 2039, 1750, 1345, 41, 2042, 1409, 832, 2044, 2045, 999, 2016, 2019, 915, 2048, 1998, 1638, 2049, 2051, 2027, 1986, 1248, 1806, 727, 1205, 2055, 2030, 1732, 1405, 1766, 2057, 1158, 2058, 496, 634, 513, 2060, 1929, 686, 644, 2006, 2063, 206, 938, 1894, 276, 760, 1314, 1995, 67, 1053, 305, 682, 1354, 1782, 603, 2070, 913, 1561, 1551, 1188, 2074, 2075, 1737, 1238, 1683, 1451, 2059, 1606, 2079, 2080, 1734, 1867, 2073, 1278, 1645, 902, 2082, 2083, 2084, 1491, 371, 1329, 1725, 1884, 2087, 1087, 2089, 2090, 2092, 2093, 299, 2094, 1481, 2095, 539, 2097, 51, 2098, 2064, 2100, 266, 1923, 283, 804, 1972, 439, 2104, 416, 239, 2107, 518, 1506, 1003, 1093, 125, 534, 1115, 2109, 2110, 997, 1739, 2111, 1239, 1287, 2115, 1697, 1503, 857, 2023, 37, 2011, 797, 2020, 31, 1219, 2121, 2103, 9, 389, 724, 1976, 1654, 2123, 2122, 1075, 1997, 2071, 467, 2125, 2061, 2127, 2128, 2086, 2129, 2130, 2131, 1631, 1759, 1159, 520, 597, 1364, 1258, 1695, 2043, 2132, 1653, 383, 1535, 1553, 946, 837, 2135, 1144, 2138, 1599, 445, 412, 1703, 165, 1162, 1665, 2140, 1293, 1647, 1347, 1005, 1960, 1989, 433, 2017, 1768, 2124, 2145, 1772, 1860, 1967, 1101, 1742, 2081, 2148, 1911, 2149, 321, 1868, 395, 732, 2150, 1889, 2141, 2151, 1387, 94, 1994, 2069, 2139, 2118, 2078, 2153, 2154, 2113, 1642, 2155, 1131, 2157, 2159, 647, 1570, 176, 347, 1137, 1533, 530, 990, 1982, 1752, 259, 1915, 1951, 960, 636, 1912, 2054, 1573, 329, 2163, 1983, 2164, 1415, 1801, 1835, 1317, 2050, 1262, 1463, 1161, 2166, 1280, 1545, 1795, 2167, 984, 2168, 2169, 1094, 217, 1959, 2170, 2053, 2171, 111, 543, 628, 2000, 1514, 2077, 2116, 909, 1753, 2172, 698, 1505, 402, 2174, 2072, 2175, 1969, 1446, 919, 2176, 1843, 2108, 1114, 510, 2133, 1379, 1676, 1484, 1666, 2178, 593, 1840, 448, 1847, 1313, 1640, 2181, 2182, 1688, 1384, 607, 2184, 196, 2179, 1391, 1720, 1380, 660, 1112, 81, 1679, 21, 2187, 1368, 944, 117, 1525, 1610, 806, 478, 350, 2189, 2191, 1898, 1566, 1719, 424, 547, 1710, 1217, 2068, 2106, 1670, 351, 2040, 2165, 1493, 2088, 247, 1297, 2193, 2195, 2196, 1928, 1740, 1110, 2197, 98, 1141, 2142, 2114, 1648, 2112, 274, 1900, 149, 2041, 1085, 1223, 1106, 1337, 2137, 571, 1862, 649, 1515, 1938, 1775, 2201, 1308, 2199, 1498, 2203, 127, 2105, 1892, 133, 555, 5, 1398, 706, 831, 883, 2205, 781, 2206, 1773, 1600, 198, 2208, 1722, 2209, 1360, 2085, 2186, 2015, 2038, 1714, 775, 360, 1712, 1276, 2207, 880, 756, 1853, 1934, 1206, 1880, 2211, 1686, 2212, 867, 1616, 2213, 2214, 1124, 994, 1527, 2152, 2065, 2101, 2215, 1195, 2146, 331, 2066, 1659, 145, 1618, 398, 1943, 1677, 2216, 2007, 1838, 1836, 1007, 876, 495, 907, 1511, 400, 1471, 2046, 1519, 2188, 720, 2219, 2218, 630, 2143, 1940, 1407, 1721, 2035, 1342, 2056, 1153, 1037, 2013, 1439, 1517, 2091, 1746, 2180, 1680, 1168, 2119, 1818, 1584, 692, 982, 2222, 1865, 936, 1871, 2224, 2194, 2185, 1851, 1567, 131, 1029, 1663, 618, 624, 2225, 1844, 541, 702, 2202, 3, 1496, 1705, 107, 1574, 2062, 2204, 1980, 1945, 1825, 2210, 1182, 1563, 2217, 1937, 53, 1930, 2096, 1826, 784, 2173, 1411, 1927, 79, 1309, 748, 2067, 2229, 1957, 1918, 1711, 2117, 964, 2190, 1009, 2156, 182, 1891, 2231, 1440, 1811, 241, 1490, 2126, 2102, 1437, 2052, 1614, 163, 1166, 1421, 667, 1963, 7, 2234, 1761, 588, 2032, 2099, 1151, 2236, 2198, 651, 1568, 2230, 2232, 549, 1543, 1556, 2076, 90, 1241, 1822, 1322, 186, 1919, 1588, 1788, 810, 978, 1266, 314, 1428, 1289, 2147, 2136, 2144, 2237, 1781, 147, 1771, 1425, 787, 1607, 2235, 2161, 2047, 1486, 2183, 670, 1975, 141, 2220, 1359, 845, 422, 1954, 2227, 2239, 1394, 2238, 2158, 2162, 2240, 437, 678, 2134, 2177, 1582, 2228, 1727, 475, 1717, 1038, 1800, 1270, 1802, 2233, 447, 2226, 1814, 83, 1604, 1991, 1777, 1432, 1780, 2223, 2221, 987, 2160, 1823, 1460, 2192, 2200, 1764, 771, 1232, 2120, 2877, 2878, 2513, 2514, 2714, 2713, 2737, 2738, 2686, 2685, 2365, 2366, 2934, 2933, 2304, 2303, 2804, 2803, 2797, 2798, 2426, 2425, 2752, 2751, 2828, 2827, 2712, 2711, 2729, 2730, 2956, 2955, 2943, 2944, 2507, 2508, 2770, 2769, 2512, 2511, 2860, 2859, 2307, 2308, 2672, 2671, 2510, 2509, 2740, 2739, 2945, 2946, 2374, 2373, 2506, 2505, 2599, 2600, 2410, 2409, 2665, 2666, 2278, 2277, 2667, 2668, 2745, 2746, 2845, 2846, 2270, 2269, 2588, 2587, 2499, 2500, 2749, 2750, 2964, 2963, 2748, 2747, 2402, 2401, 2875, 2876, 2874, 2873, 2487, 2488, 2918, 2917, 2970, 2969, 2601, 2602, 2721, 2722, 2640, 2639, 2492, 2491, 2848, 2847, 2376, 2375, 2490, 2489, 2502, 2501, 2299, 2300, 2539, 2540, 2655, 2656, 2822, 2821, 2778, 2777, 2345, 2346, 2731, 2732, 2416, 2415, 2544, 2543, 2790, 2789, 2727, 2728, 2298, 2297, 2272, 2271, 2734, 2733, 2288, 2287, 2364, 2363, 2440, 2439, 2704, 2703, 2472, 2471, 2266, 2265, 2477, 2478, 2707, 2708, 2476, 2475, 2465, 2466, 2567, 2568, 2534, 2533, 2358, 2357, 2981, 2982, 2928, 2927, 2392, 2391, 2808, 2807, 2806, 2805, 2382, 2381, 2380, 2379, 2362, 2361, 2799, 2800, 2649, 2650, 2518, 2517, 2836, 2835, 2250, 2249, 2615, 2616, 2319, 2320, 2768, 2767, 2444, 2443, 2521, 2522, 2829, 2830, 2689, 2690, 2694, 2693, 2664, 2663, 2914, 2913, 2353, 2354, 2855, 2856, 2604, 2603, 2352, 2351, 2869, 2870, 2867, 2868, 2389, 2390, 2960, 2959, 2885, 2886, 2755, 2756, 2884, 2883, 2890, 2889, 2431, 2432, 2434, 2433, 2887, 2888, 2794, 2793, 2605, 2606, 2474, 2473, 2938, 2937, 2958, 2957, 2735, 2736, 2554, 2553, 2976, 2975, 2578, 2577, 2264, 2263, 2555, 2556, 2335, 2336, 2524, 2523, 2579, 2580, 2516, 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