B:=PermutationGroup<1782 | \[ 105, 2, 622, 72, 1576, 1157, 723, 320, 229, 1037, 1045, 999, 1738, 513, 1057, 1549, 489, 287, 729, 144, 1182, 450, 23, 1498, 488, 9, 231, 977, 926, 176, 545, 491, 445, 183, 35, 220, 273, 24, 871, 574, 1008, 1656, 145, 1651, 744, 4, 1747, 1083, 537, 1020, 242, 1368, 335, 570, 55, 1351, 1251, 966, 1154, 1241, 635, 748, 725, 779, 308, 1620, 1469, 1610, 366, 1605, 1427, 46, 73, 1761, 1509, 520, 108, 345, 587, 880, 796, 82, 83, 757, 1405, 1068, 87, 706, 808, 90, 713, 1731, 93, 824, 1684, 987, 652, 1387, 1471, 263, 1601, 102, 1098, 1539, 1084, 1097, 226, 674, 244, 1276, 269, 112, 1442, 1598, 1130, 20, 557, 304, 1250, 1030, 1273, 1726, 1587, 920, 669, 363, 947, 128, 1672, 1686, 1715, 1608, 1642, 1147, 135, 1183, 185, 657, 1636, 1741, 351, 412, 1506, 116, 405, 607, 1591, 1091, 329, 664, 332, 689, 153, 524, 1514, 1174, 157, 12, 505, 466, 837, 162, 374, 33, 993, 789, 1665, 234, 1633, 32, 831, 172, 1220, 174, 1752, 955, 473, 1523, 457, 693, 132, 1317, 559, 858, 869, 1627, 1778, 927, 1244, 98, 753, 1640, 193, 1416, 155, 816, 1186, 1075, 799, 208, 899, 1275, 1392, 361, 1051, 1634, 600, 333, 357, 210, 666, 1265, 658, 124, 17, 216, 1150, 903, 793, 790, 81, 3, 423, 1383, 100, 1113, 523, 251, 26, 286, 300, 1358, 852, 983, 1505, 918, 237, 1723, 521, 1215, 134, 1137, 1016, 248, 449, 1643, 148, 109, 78, 497, 981, 252, 809, 368, 566, 978, 901, 298, 795, 921, 175, 493, 225, 264, 265, 1136, 1023, 1657, 935, 1678, 741, 1336, 514, 517, 590, 461, 1219, 1596, 350, 358, 766, 282, 19, 284, 1746, 909, 1062, 1755, 866, 1238, 291, 292, 1385, 550, 783, 154, 372, 404, 113, 27, 114, 811, 413, 340, 1703, 1641, 1184, 1192, 309, 375, 475, 1556, 1297, 895, 315, 316, 842, 171, 1593, 334, 1519, 1120, 323, 324, 791, 1396, 1560, 1221, 1034, 1168, 938, 444, 200, 8, 499, 649, 1743, 1179, 1348, 118, 1285, 165, 173, 344, 249, 630, 1022, 1677, 339, 1572, 1397, 576, 76, 502, 1706, 498, 532, 846, 727, 360, 685, 436, 428, 1668, 533, 1338, 1443, 396, 1446, 370, 120, 1371, 1456, 868, 1499, 1242, 1095, 378, 1027, 632, 807, 957, 382, 384, 385, 848, 1080, 136, 389, 390, 1253, 1654, 495, 75, 1710, 254, 39, 971, 1021, 984, 325, 1189, 556, 258, 43, 179, 867, 276, 1748, 1502, 233, 1467, 1765, 45, 1033, 1740, 454, 1287, 419, 420, 1432, 416, 1393, 949, 84, 670, 121, 126, 555, 1224, 431, 732, 617, 88, 199, 604, 306, 438, 439, 1600, 1500, 606, 443, 151, 164, 1310, 1637, 1163, 1146, 611, 1305, 1472, 616, 1099, 455, 295, 406, 458, 1212, 1399, 408, 1419, 817, 512, 1245, 886, 257, 1473, 739, 1132, 331, 472, 716, 911, 1494, 178, 122, 49, 58, 410, 207, 448, 878, 159, 820, 123, 548, 1646, 215, 1302, 170, 492, 1609, 485, 833, 990, 1270, 925, 53, 1006, 1294, 1468, 147, 1257, 484, 1616, 507, 130, 1712, 1483, 823, 1690, 1339, 37, 1714, 1066, 857, 1689, 1309, 353, 687, 1719, 1490, 296, 1261, 1105, 527, 582, 459, 747, 531, 209, 643, 1079, 1606, 536, 478, 712, 840, 995, 633, 487, 1709, 982, 1337, 66, 1230, 542, 549, 627, 551, 1447, 553, 407, 1284, 1782, 1210, 1263, 34, 1211, 1489, 1304, 726, 804, 1249, 862, 810, 1533, 659, 1623, 1696, 563, 605, 1178, 1282, 1732, 302, 1660, 1438,

1200, 961, 1639, 5, 1725, 1214, 96, 728, 1546, 15, 913, 792, 1259, 701, 496, 682, 1436, 1662, 1421, 1370, 481, 601, 321, 946, 362, 1530, 1319, 1199, 338, 609, 564, 22, 612, 386, 733, 95, 1372, 1180, 719, 1070, 1717, 621, 222, 751, 543, 1206, 626, 294, 238, 1463, 986, 764, 1115, 1334, 634, 1141, 1015, 1283, 1667, 1527, 1671, 1318, 702, 365, 644, 347, 1407, 246, 1108, 994, 638, 201, 1730, 722, 695, 526, 1481, 688, 1475, 806, 399, 6, 355, 1720, 1127, 665, 874, 1386, 668, 1655, 1093, 1363, 672, 998, 77, 1762, 676, 894, 140, 1512, 1288, 1428, 1009, 596, 1041, 204, 1176, 239, 138, 1577, 1074, 838, 1565, 856, 1694, 851, 696, 1384, 768, 873, 636, 1659, 890, 129, 1229, 565, 434, 800, 1474, 567, 679, 16, 1445, 1081, 1089, 735, 177, 717, 1185, 952, 690, 599, 1603, 997, 465, 1619, 572, 1234, 79, 283, 730, 1324, 877, 1247, 771, 1774, 42, 1739, 738, 1047, 509, 1579, 1567, 1545, 414, 847, 1344, 1390, 774, 958, 59, 1644, 1727, 976, 236, 755, 756, 425, 940, 139, 326, 85, 778, 969, 1191, 765, 1388, 646, 1134, 1395, 770, 1088, 772, 1355, 62, 625, 1369, 289, 1161, 1266, 266, 1315, 1144, 456, 1582, 1435, 1607, 1171, 787, 1394, 36, 401, 1143, 1624, 1652, 1331, 221, 1148, 1094, 435, 1298, 639, 1422, 803, 610, 1685, 569, 1197, 1611, 932, 709, 577, 1102, 1697, 1289, 1255, 945, 1628, 996, 1333, 494, 376, 535, 1409, 1382, 1638, 1400, 1001, 67, 829, 1518, 318, 1440, 393, 28, 1345, 836, 1123, 1043, 1681, 1488, 1155, 1017, 260, 224, 48, 280, 1695, 613, 243, 80, 654, 411, 1461, 908, 1332, 180, 274, 1340, 953, 1711, 1118, 255, 863, 328, 1552, 777, 554, 163, 137, 870, 397, 57, 1356, 211, 525, 876, 432, 1501, 965, 850, 1680, 1187, 883, 1260, 518, 160, 490, 452, 430, 642, 558, 892, 819, 1411, 928, 714, 1365, 119, 651, 900, 467, 312, 1408, 825, 341, 1067, 1162, 1441, 230, 910, 1359, 749, 275, 402, 1323, 1078, 917, 754, 1374, 214, 843, 313, 1028, 575, 356, 1264, 1728, 314, 1003, 1521, 681, 253, 1458, 1462, 111, 1464, 1269, 471, 1486, 1236, 1675, 387, 853, 944, 196, 1205, 1190, 1267, 1218, 1568, 948, 618, 1292, 1073, 30, 460, 383, 912, 290, 1005, 1069, 1544, 936, 104, 1019, 479, 327, 447, 1574, 970, 1056, 272, 131, 1360, 1169, 191, 834, 1575, 656, 197, 228, 1373, 168, 1460, 202, 346, 586, 818, 814, 594, 1540, 1496, 342, 336, 1457, 988, 7, 1202, 158, 337, 1516, 1002, 1173, 941, 1335, 1583, 1542, 1479, 595, 1272, 1011, 975, 217, 1014, 700, 849, 317, 1018, 879, 1280, 660, 645, 1290, 1737, 1025, 103, 1760, 1564, 1035, 371, 1031, 1082, 1670, 149, 1110, 92, 1209, 70, 1312, 933, 1246, 1239, 691, 930, 1569, 192, 469, 1048, 441, 270, 1466, 1629, 1718, 578, 916, 398, 589, 293, 1007, 99, 1649, 18, 1291, 1064, 1532, 1101, 1780, 1769, 581, 1226, 1663, 1455, 1116, 720, 1286, 522, 56, 1055, 1534, 942, 91, 1750, 845, 1, 348, 1086, 1087, 734, 896, 1764, 247, 560, 426, 1325, 1742, 156, 1158, 1026, 417, 1061, 516, 1380, 1772, 1538, 655, 1248, 1107, 1701, 1109, 1029,

319, 1112, 107, 1114, 380, 954, 939, 1166, 1444, 1704, 330, 232, 161, 1781, 1125, 802, 150, 881, 1129, 1216, 686, 1376, 897, 698, 692, 780, 51, 1138, 1139, 510, 61, 189, 591, 1306, 832, 245, 241, 1412, 597, 1013, 1594, 1152, 907, 750, 1635, 506, 661, 106, 865, 1103, 762, 1153, 482, 915, 1010, 861, 1437, 1121, 1012, 1763, 788, 307, 929, 1096, 1175, 1131, 1493, 40, 608, 433, 187, 1592, 388, 1172, 1691, 980, 1679, 278, 914, 127, 631, 65, 697, 1561, 1195, 1580, 381, 13, 146, 1293, 579, 673, 1553, 1222, 603, 775, 547, 585, 10, 117, 1092, 529, 1588, 1208, 1307, 115, 1429, 424, 1650, 343, 864, 1531, 1770, 889, 1225, 619, 813, 629, 1271, 1207, 737, 1492, 1470, 359, 1167, 758, 588, 959, 1525, 1535, 1459, 821, 1194, 1142, 724, 684, 614, 1777, 705, 898, 872, 1024, 1448, 1254, 1296, 1615, 1756, 974, 1630, 1477, 875, 1262, 891, 29, 1674, 64, 951, 1430, 1631, 250, 704, 1165, 427, 1775, 985, 1513, 1063, 1278, 839, 50, 1039, 924, 1507, 429, 905, 198, 1465, 1404, 989, 267, 1277, 859, 580, 1541, 1295, 815, 922, 707, 781, 1053, 1151, 887, 1072, 1578, 1517, 782, 240, 1308, 1343, 1581, 1203, 1281, 1504, 667, 1299, 1213, 1350, 1452, 442, 1617, 395, 1240, 1164, 1767, 798, 1375, 1327, 1621, 1361, 1329, 259, 1754, 893, 541, 960, 972, 31, 69, 14, 184, 47, 1342, 519, 1364, 1362, 1256, 1347, 349, 1349, 182, 1077, 1352, 1223, 268, 1571, 699, 167, 1122, 474, 1258, 1330, 835, 1433, 746, 1133, 860, 1367, 1484, 1503, 721, 297, 453, 544, 1389, 1613, 470, 1377, 1626, 1379, 812, 1381, 94, 844, 1193, 1058, 1314, 190, 281, 919, 530, 206, 1536, 223, 166, 1543, 760, 141, 1434, 956, 1669, 1071, 1402, 1698, 680, 761, 409, 767, 218, 511, 784, 677, 797, 1177, 752, 785, 1658, 962, 1632, 1749, 992, 1425, 1126, 1328, 1424, 598, 805, 1682, 931, 1744, 1692, 1482, 1559, 671, 1602, 1415, 683, 1235, 1201, 794, 1145, 854, 299, 1745, 1722, 538, 1699, 1693, 391, 1515, 694, 1170, 641, 68, 991, 1303, 1618, 540, 1040, 60, 400, 943, 1491, 1228, 963, 418, 205, 142, 354, 828, 1768, 1060, 888, 1676, 1724, 213, 1378, 884, 1232, 41, 742, 979, 1766, 1140, 52, 440, 1117, 1729, 539, 1647, 227, 934, 1478, 1413, 311, 1495, 1420, 1497, 38, 310, 1049, 483, 480, 776, 1759, 1713, 1751, 637, 515, 394, 101, 1511, 710, 110, 195, 1537, 827, 451, 1734, 602, 1520, 1044, 305, 476, 1524, 1042, 786, 801, 1528, 1418, 573, 1204, 1721, 1716, 534, 1322, 203, 1449, 1776, 964, 1454, 501, 1059, 769, 1417, 1589, 1237, 1547, 1548, 711, 950, 1551, 1159, 1311, 1554, 1555, 902, 571, 1558, 421, 967, 1243, 1562, 1563, 923, 1135, 44, 1480, 1550, 11, 1570, 773, 279, 1573, 763, 256, 583, 152, 562, 271, 1758, 446, 1410, 500, 1584, 663, 1586, 486, 1316, 743, 186, 503, 21, 1111, 1301, 1595, 1188, 74, 301, 169, 1485, 1510, 1398, 653, 1604, 1038, 822, 1526, 181, 262, 1453, 89, 364, 1326, 1614, 1346, 1156, 1736, 373, 63, 546, 1423, 133, 54, 219, 1625, 1476, 1590, 463, 1705, 592, 937, 1529, 1599, 1391, 841, 759, 968, 904, 528, 1046, 437, 1622, 647, 623, 1124, 25, 561, 285, 1100, 277, 1566, 1439, 1653, 1687, 125, 736, 1354, 194, 593, 1054, 1661, 1149, 1401, 640, 1357, 1666, 650, 1612, 826, 415, 1664, 703, 675, 212, 1004, 468, 1085, 1050, 882, 1128, 1279, 71, 1403, 615, 1426, 508, 392, 1688,

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