
print "Conway's second simple group on 2300 letters.";
print "Order = 2^18 * 3^6 * 5^3 * 7 * 11 * 23";
print "Group: G";

G := PermutationGroup<2300 |
    \[     1,    2,    3,  106,   69,   44,    8,    7,  101,   10,
 116,  267,  268,   15,   14,  205,  374,  383,  294,   20,   21,   23,   22,
 509,  533,  593,  624,  632,   80,   37,  222,  214,   93,   58,   35,   36,
  30,  197,  220,   41,   40,   42,   43,    6,  183,   47,   46,  202,   50,
  49, 1090,   53,   52, 1119,   56,   55,   92,   34,  466,  467, 1245, 1254,
1057, 1000,  387,  617,  182,  196,    5,  164,  162,   73,   72, 1003,  194,
  77,   76,  171,  172,   29,   82,   81,  229,   85,   84,  363,   88,   87,
1216,   91,   90,   57,   33,  117,  313,  350,  358,  251,  261,  266,    9,
 103,  102,  138,  129,    4,  140,  109,  108, 1349,  264,  113,  112,  146,
 147,   11,   94,  119,  118,  272,  122,  121,  348,  124, 1548,  127,  126,
 309,  105,  491,  492,  133,  132,  493,  288,  141, 1478,  104,  139,  107,
 136,  148, 1482,  145,  144,  114,  115,  142, 1520,  151,  150, 1591,  153,
 155,  154,  156,  158,  157,  166, 1299, 1499,   71,  163,   70, 1313,  159,
1302, 1303,  170,  169,   78,   79,  180,  175,  174,  177,  176,  179,  178,
 173, 1369,   67,   45,  185,  184,  186,  687,  910,  429,  995,  999,  192,
1306,   75, 1300,   68,   38,  755,  200,  199, 1082,   48,  204,  203,   16,
 360, 1086, 1276, 1013,  241,  212,  211,  213,   32,  675,  252,  238,  243,
 250,   39,  221,   31,  224,  223, 1049,  227,  226, 1416,   83,  231,  230,
 758,  759, 1250, 1262,  723,  707,  217, 1305,  727,  210,  970,  218,  460,
 631, 1791,  822,  248,  725,  219,   98,  216,  479, 1196, 1121,  421,  422,
1628, 1663, 1097,   99,  262, 1370,  111, 1479,  100,   12,   13,  270,  269,
 349,  120,  274,  273,  289,  277,  276,  278, 1468,  366,  297,  283,  282,
 310,  300,  286,  287,  135,  275,  785, 1247,  292,  293,   19,  296,  295,
 281,  724, 1291,  285,  301,  826, 1242, 1241,  305,  306,  331,  308,  128,
 284,  420, 1178,   95,  314,  315,  317,  316, 1484,  320,  319,  321,  323,
 322, 1166,  326,  325,  327,  329,  328,  330,  307,  395,  333,  334,  455,
 337,  336, 1265,  764,  359,  342,  341,  344,  343, 1551,  347,  346,  123,
 271,   96, 1521,  370,  403, 1488,  356,  355,  357,   97,  340,  206,  385,
1063,   86,  880, 1539,  280, 1559,  881,  369,  352,  371, 1380, 1278,   17,
 405,  614,  416, 1359, 1092, 1421,  408,  413,   18,  384,  361,  396,   65,
1085,  390,  389, 1157,  393,  392,  728,  332,  386, 1419, 1014, 1427,  409,
 402,  401,  353, 1316,  375,  407,  406,  381,  400, 1307, 1401, 1297,  382,
 415,  414,  377,  628,  419,  418,  311,  256,  257,  664, 1286,  426,  425,
 428,  427,  189,  430,  726, 1339,  438,  793, 1869,  436,  437,  433, 1409,
 441,  440,  871,  444,  443,  445,  447,  446, 1437,  450,  449, 1181,  453,
 452, 1508,  335,  457,  456,  794,  780,  244,  845,  756,  464,  463,  465,
  59,   60,  469,  468,  763,  472,  471, 1556,  474, 1841,  477,  476, 1248,
 253,  503,  508,  510,  484,  483, 2028, 1239,  488,  487,  518,  519,  130,
 131,  134,  595,  513, 1893,  498,  497,  500,  499,  502,  501,  480, 1733,
1762, 1458, 1705,  481,   24,  482,  565, 1680,  495, 1895, 1896,  517,  516,
 489,  490,  567,  522,  521, 2051,  525,  524,  589,  528,  527, 1809,  531,
 530,  613,   25,  936,  600,  575,  596,  599,  623,  605,  574,  633,  592,
 583, 1679,  584, 1931,  590,  550,  549,  551,  552,  576,  555,  554,  557,
 556, 1019,  560,  559, 1858,  563,  562,  892,  511,  786,  520,  669, 1609,
 911,  670, 1255,  594,  541,  536,  553,  578,  577,  580,  579,  582,  581,
 544,  546, 1739, 1752, 1820,  897,  526,  548,  591,  543,   26,  573,  494,
 537,  598,  597,  538,  535, 1742, 1022,  629,  680,  540,  620,  898,  609,
 608,  611,  610,  627,  532,  376,  616,  615,   66,  717,  716,  606,  621,
 622,  539,   27,  626,  625,  612,  417,  603,  777,  245,   28,  542,  635,
 634, 2161,  638,  637, 1234,  641,  640, 2176,  644,  643, 1826,  647,  646,
 648,  649, 2052,  652,  651,  654,  653,  656,  655,  743,  659,  658,  661,
 660,  971,  682,  423, 1018,  686,  668,  667,  568,  571,  671, 1709,  674,
 673,  215,  677,  676,  679,  678,  604, 1675,  663,  684,  683, 1039,  666,
 187,  689,  688, 1772,  692,  691, 1800,  695,  694, 1067,  698,  697,  700,
 699,  702,  701,  704,  703,  706,  705,  237, 1280,  827,  711,  710, 1053,
1035,  715,  714,  619,  618,  719,  718,  721,  720, 1281,  236,  298,  249,
 431,  240,  394,  730,  729,  732,  731, 1050,  735,  734, 1204,  738,  737,
1464,  741,  740, 1284,  657, 1277,  746,  745, 1232,  749,  748,  831, 1456,
 753,  752,  873,  198,  462,  757,  232,  233,  761,  760, 1557,  470,  339,
 766,  765,  767,  778,  779, 1069, 1070, 1612, 1279,  775,  774,  776,  630,
 768,  769,  459, 1613, 1470,  784,  783,  290,  566, 2055, 1873,  790,  789,
1210, 1459,  434,  458,  796,  795,  863,  799,  798, 1042,  802,  801,  998,
 805,  804,  807,  806,  808, 1084, 1088,  812,  811, 1460,  815,  814, 1182,
 945,  843, 1442, 1672, 1792,  247, 1120, 1222,  853,  302,  709,  829,  828,
1004,  750,  833,  832, 1231,  836,  835, 1933, 1047,  842,  841,  840,  839,
 818,  891,  461, 2111, 2177,  848, 1633, 1710, 1424,  877,  825, 1219,  856,
 855, 1487,  859,  858,  860, 1238, 1747,  797, 1195,  895, 1140, 1642, 2180,
 869, 1573,  442, 1426,  754, 1209,  876,  875,  852,  879,  878,  364,  368,
 882, 1446, 1445, 1447, 1124, 1185, 1025, 1270, 1843,  844,  564,  894,  893,
 865, 1020,  588,  607,  899,  900,  902,  901, 1884,  905,  904, 1819,  908,
 907,  978,  188,  570, 1660, 2037, 2109, 1776, 1706, 2163, 2012, 2019,  928,
 962, 1824,  985,  952,  925,  926,  927,  920, 2123,  931,  930, 2196,  934,
 933, 1891,  534, 1021, 1429, 1608, 1796, 1815, 2106, 2045, 1763,  817,  947,
 946,  974,  975,  950,  977,  924,  954,  953,  989,  957,  956, 2022,  960,
 959, 2122,  921, 1827, 2112, 1622,  980, 1040, 1817, 1798,  242,  662, 1775,
1745,  948,  949,  976,  951,  909, 2136,  966, 1128,  983,  982, 2162,  923,
1828, 1694, 1966,  955, 1957, 2058, 1783, 1285, 1324,  190, 1203, 1364,  803,
 191,   64, 1002, 1001,   74,  830, 1125, 1052, 1051, 1568, 1569, 1193, 1031,
1197,  209,  398, 1075, 1072, 1036,  665,  558,  896,  937,  602, 1062, 1091,
 888, 1071, 1076, 1056, 1030, 1029, 1011, 1033, 1032, 1083,  713, 1017, 1774,
1566,  685,  967, 1400,  800, 1469, 1045, 1044, 1207,  838, 1194,  225,  733,
1007, 1006,  712, 1275, 1068, 1028,   63, 1079, 1932, 1093, 1096, 1023,  362,
1065, 1064, 1408,  696, 1055,  770,  771, 1026, 1016, 1712, 1089, 1015, 1027,
1078, 1077, 1058, 1081, 1080,  201, 1034,  809,  388,  207, 1123,  810, 1074,
  51, 1024,  379, 1060, 1199, 1114, 1061,  260, 1099, 1098, 1183, 1102, 1101,
1611, 1657, 1614, 1113, 1243, 1169, 1127, 2200, 1149, 1161, 1106, 1095, 1129,
1565, 1294, 1186,   54,  823,  255, 1139, 1087,  886, 1005, 1184, 1109,  981,
1115, 1148, 1188, 1155, 1156, 1135, 1134, 1137, 1136, 1420, 1122,  866, 1141,
1463, 1244, 1564, 1233, 1410, 1180, 1130, 1111, 2244, 1151, 1201, 1171, 1170,
1132, 1133,  391, 1159, 1158, 1295, 1112, 1287, 1558, 1483, 1467,  324, 1436,
1235, 1108, 1154, 1153, 1214, 1215, 1175, 1174, 1191, 1192,  312, 1431, 1147,
 451,  816, 1100, 1126,  887, 1118, 1455, 1131, 1190, 1189, 1176, 1177, 1010,
1048,  864,  254, 1012, 1211, 1094, 1435, 1152, 1876,  996,  736, 1206, 1205,
1046, 1454,  874,  791, 1198, 1213, 1212, 1172, 1173,   89, 1227, 1448,  854,
1221, 1220,  824, 1647, 1653, 1226, 1225, 1217, 1229, 1228, 1304,  834,  747,
1145,  639, 1168, 1237, 1236,  861,  486, 1894,  304,  303, 1107, 1143,   61,
1251,  291,  478, 1741,  234, 1246, 1253, 1252,   62,  572, 1256, 1834, 1259,
1258, 1734, 1743,  235, 1264, 1263,  338, 1889, 1268, 1267, 1269,  889, 1272,
1271, 1761, 1760, 1054,  208,  744,  373,  773,  708,  722, 1283, 1282,  742,
 993,  424, 1162, 1289, 1288, 1639,  299, 1293, 1292, 1117, 1160, 1715,  412,
1462,  160,  195, 1601,  167,  168, 1230,  239,  193,  410, 1309, 1308, 1413,
1311, 1312,  165, 1486, 1322,  404, 1318, 1317, 1331, 1320, 1321, 1315, 1344,
 994, 1325, 1346, 1512, 1329, 1328, 1345, 1319, 1379, 1334, 1333, 1366, 1337,
1336, 1376,  432, 1348, 1500, 1514, 1354, 1323, 1330, 1326, 1365, 1340,  110,
1602, 1361, 1360, 1391, 1343, 1515, 1356, 1428, 1493,  378, 1352, 1351, 1363,
1362,  997, 1347, 1335, 1368, 1367,  181,  263, 1518, 1504, 1389, 1377, 1378,
1338, 1374, 1375, 1332,  372, 1390, 1606, 1527, 1526, 1605, 1386, 1503, 1531,
1373, 1381, 1353, 1393, 1392, 1536, 1590, 1532, 1543, 1607, 1403, 1041,  411,
1417, 1399, 2132, 2046, 1423, 1466, 1066,  439, 1146, 1412, 1411, 1310, 1415,
1414,  228, 1402, 1422,  397, 1138,  380, 1418, 1406,  851, 1471,  872,  399,
1357,  938, 1430, 1179, 1610, 1941, 2212, 1200, 1167,  448, 1867, 1440, 1439,
1983,  819, 1444, 1443,  884,  883,  885, 1218, 2104, 2063, 1811, 1453, 1452,
1208, 1187,  751, 2093,  506,  792,  813, 1872, 1298, 1142,  739, 1846, 1407,
1165,  279, 1043,  782, 1425, 1472, 1477, 1475, 1474, 1547, 1473,  137,  265,
1480, 1481,  143, 1164,  318, 1530, 1314,  857,  354, 1490, 1489, 1492, 1491,
1358, 1495, 1494, 1535, 1497, 1498,  161, 1341, 1501, 1502, 1387, 1372, 1506,
1505, 1589,  454, 1538, 1513, 1522, 1327, 1510, 1342, 1355, 1517, 1516, 1371,
1519,  149,  351, 1511, 1524, 1523, 1537, 1384, 1383, 1529, 1528, 1485, 1388,
1396, 1534, 1533, 1496, 1394, 1525, 1509,  365, 1544, 1541, 1545, 1397, 1540,
1542, 1553, 1476,  125, 1711, 1638,  345, 1552, 1546, 1555, 1554,  473,  762,
1163,  367, 1560, 1703, 1562, 1563, 1144, 1116, 1038, 1908, 1008, 1009, 1877,
1571, 1572,  870, 1578, 1575, 1579, 1577, 1574, 1576, 1671, 1870, 1582, 1670,
1871, 1585, 1586, 1588, 1587, 1507, 1395,  152, 1596, 1597, 1594, 1595, 1592,
1593, 2292, 1600, 1599, 1301, 1350, 1604, 1603, 1385, 1382, 1398,  939,  569,
1432, 1103,  772,  781, 1105, 1615, 1617, 1616, 1619, 1618, 1702, 2016,  965,
1624, 1623, 2110, 1627, 1626,  258, 1905, 1717, 1631, 1637,  849, 1840, 1641,
2211, 1632, 1550, 1290, 1994, 1635,  867, 1650, 1723, 1651, 1652, 1223, 1654,
1722, 1643, 1645, 1646, 1224, 1648, 1863, 1862, 1104, 1719, 1718,  912, 1727,
1847,  259, 1704, 2088, 1667, 1666, 2155, 2156, 1583, 1580,  820, 1674, 1673,
 681, 1814, 1677, 1678,  545,  512, 1682, 1681, 1810, 2107, 1898, 1687, 1686,
1688, 1835, 1691, 1690, 1693, 1692,  987, 1808, 1697, 1696, 1699, 1698, 1735,
1736, 1620, 1561, 1664,  507,  916, 1881, 1759,  672,  850, 1549, 1073, 1713,
1906, 1296, 1995, 1630, 1659, 1658, 1854, 1853, 1649, 1644, 1725, 1724, 2102,
1661, 1943, 1935, 1748, 1784, 2084,  504, 1260, 1700, 1701, 1738, 1737,  585,
1740, 1249,  601, 1261, 1746,  973, 1744,  862, 1730, 1750, 1749, 1751,  586,
1868, 1888, 1756, 1755, 1757, 1758, 1708, 1274, 1273,  505,  944, 1765, 1764,
2032, 1768, 1767, 2089, 1842, 1799,  690, 2179, 1037,  972,  915, 1822, 1779,
1778, 1807, 1782, 1781,  992, 1731, 1786, 1785, 1958, 1948, 1789, 1790,  246,
 821, 2130, 2078, 2044,  940, 2145,  969, 1771,  693, 1802, 1801, 2041, 2086,
1806, 1805, 1780, 1695,  529, 1683, 1451, 1813, 1812, 1676,  941, 2143,  968,
1818,  906,  587, 2065, 1777, 2141,  922, 2049,  645,  963,  986, 1836, 2085,
1832, 1831, 2194, 1257, 1689, 1829, 2035, 2031, 2033, 1634,  475, 1770,  890,
1848, 1859, 1465, 1662, 1844, 1850, 1849, 1852, 1851, 1721, 1720, 1856, 1855,
1866,  561, 1845, 1861, 1860, 1656, 1655, 1865, 1864, 1857, 1438, 1753,  435,
1581, 1584, 1461,  788, 1890, 1892, 1202, 1570, 1882, 1907, 2006, 1707, 1878,
1930,  903, 1885, 1886, 2005, 1754, 1266, 1874,  935, 1875,  496, 1240,  514,
 515, 1899, 1685, 1897, 1901, 1900, 1903, 1902, 1920, 1629, 1714, 1879, 1567,
1910, 1909, 1915, 1916, 1914, 1913, 1911, 1912, 1918, 1917, 2018, 1904, 1926,
1923, 1922, 1925, 1924, 1921, 1940, 2205, 1934, 1883,  547, 1059,  837, 1929,
1729, 1990, 1973, 1939, 1938, 1927, 1433, 1974, 1728, 1989, 1947, 1949, 1945,
1788, 1946, 1959, 1960, 1953, 1952, 2036, 2224, 2227,  990, 1787, 1950, 1951,
1962, 1961, 2039, 1970, 2228,  988, 2099, 2149, 2168, 1964, 1978, 2225, 1937,
1942, 2000, 1981, 1986, 1971, 2250, 1984, 1976, 2001, 1441, 1980, 1993, 1977,
1988, 1987, 1944, 1936, 1992, 1991, 1985, 1640, 1716, 2002, 1997, 2271, 2213,
1975, 1982, 1996, 2007, 2008, 1887, 1880, 2003, 2004, 2010, 2009, 2025,  918,
2014, 2013, 2133, 1621, 2024, 1919,  919, 2021, 2020,  958, 2098, 2017, 2011,
2075, 2081,  485, 2030, 2029, 1838, 1766, 1839, 2100, 1837, 1954,  913, 2042,
1963, 2077, 1803, 2038, 2047, 1795,  943, 1405, 2043, 2091, 1825, 2124,  523,
 650, 2053, 2101,  787, 2057, 2056,  991, 2060, 2059, 2092, 2083, 1450, 2131,
1821, 2134, 2068, 2067, 2070, 2069, 2114, 2073, 2072, 2105, 2026, 2082, 2040,
1794, 2080, 2079, 2027, 2076, 2062, 1732, 1830, 1804, 2090, 1665, 1769, 2087,
2048, 2061, 1457, 2153, 2117, 2103, 2148, 2023, 1967, 2034, 2054, 1726, 2096,
1449, 2074,  942, 1684, 2118,  914, 1625,  846,  964, 2126, 2071, 2115, 2152,
2095, 2108, 2120, 2119, 2175,  961,  929, 2050, 2142, 2113, 2128, 2127, 2154,
1793, 2064, 1404, 2015, 2066, 2195,  979, 2138, 2137, 2140, 2139, 1823, 2125,
1816, 2144, 1797, 2147, 2146, 2097, 1968, 2216, 2151, 2116, 2094, 2129, 1668,
1669, 2202, 2178, 2160, 2159,  636,  984,  917, 2165, 2164, 2170, 2172, 1969,
2169, 2166, 2174, 2167, 2173, 2171, 2121,  642,  847, 2158, 1773,  868, 2182,
2181, 2187, 2188, 2186, 2185, 2183, 2184, 2189, 2191, 2190, 2193, 2192, 1833,
2135,  932, 2210, 2286, 2217, 1110, 2222, 2157, 2226, 2246, 1928, 2207, 2206,
2223, 2214, 2197, 1636, 1434, 1999, 2209, 2237, 2150, 2199, 2218, 2219, 2221,
2220, 2201, 2208, 1955, 1972, 2203, 1956, 1965, 2276, 2231, 2230, 2233, 2232,
2240, 2236, 2235, 2215, 2239, 2238, 2234, 2242, 2241, 2260, 1150, 2288, 2204,
2274, 2270, 2249, 1979, 2251, 2252, 2257, 2255, 2254, 2280, 2253, 2258, 2275,
2243, 2262, 2261, 2263, 2265, 2264, 2279, 2267, 2282, 2296, 2248, 1998, 2284,
2289, 2247, 2259, 2229, 2278, 2277, 2266, 2256, 2298, 2268, 2297, 2272, 2285,
2198, 2287, 2245, 2273, 2290, 2294, 1598, 2293, 2291, 2295, 2269, 2283, 2281,
2300, 2299],
    \[         1,    5,    4,    3,    2,   70,    7,   43,  104,   10,
  11,   12,   13,   14,  315,  357,  375,  382,  341,   20,   22,   21,   23,
  24,  419,  340,  231,   29,   28,   30,   31,   32,  187,  215,  482,   36,
  42,   41,   40,   39,   38,   37,    8,   79,  716,  715, 1035, 1058, 1062,
1082, 1109, 1130,   54,   53, 1007, 1177, 1022,  777,  481,  495, 1246,  522,
 607,  937,  602,  603,  159,  160,   69,    6,   71,   72,  192,  193,   76,
  75,  223,  182,   44,  245, 1399,  411, 1310, 1311,   85, 1213, 1214, 1440,
1175, 1176, 1006,  387,  717,   94,   95,   96,  616,  604,  136,  137,  115,
 333,  103,    9,  105,  106,  107,  108,  262,  263,  112,  111,  316,  261,
 101,  287,  286,  155,  300, 1506, 1518,  328,  124,  123,  296, 1547, 1473,
 342,  334,  130, 1572, 1574, 1576, 1582, 1480,   99,  100,  147,  140,  139,
 146,  145,  144,  143,  142,  141,  138, 1482, 1592, 1596, 1520, 1519, 1517,
 285,  118, 1511, 1510, 1323,   67,   68, 1481,  163,  162,  172,  188,  171,
 170,  169,  168,  167,  166,  164,  434,  431,  459, 1348, 1365, 1292,  569,
 570,  571,   78,  606,  437,  185,  186,   33,  165,  189,  770,  703,   73,
  74,  224,  196,  195,  220, 1635, 1643,  799, 1023, 1081,  651,  576,  205,
 612,  589,  622,  648,  210,  242,  681,  701,  248,   34,  480,  507,  219,
 218,  197,  222,  221,   77,  194, 1630, 1644, 1725,  926, 1415,  658,   27,
 504,  601,  585,  586,  598,  597,  916,  944,  817,  465,  211, 1398,  973,
  80,  247,  246,  214, 1402, 1607,  769, 1699, 1829,  890, 1135, 1136, 1137,
1849, 1845,  889,  114,  109,  110,  317,  266,  265,  308,  330,  312,  354,
1358,  351,  301,  274, 1575, 1581, 1584,  278,  279,  280,  281, 1396, 1534,
 284,  154,  117,  116,  288,  289,  506,  534,  535,  536,  309,  343,  125,
 430,  299,  298,  119,  273,  709,  782,  781,  305,  306,  307,  267,  294,
 384,  505,  269,  314,  313,   15,  113,  264, 1165, 1166,  322,  321,  320,
 324,  323, 1484, 1467,  541,  122, 1371,  268,  371,  947,  102,  129, 1355,
 454, 1483, 1266,  496,   26,   19,  128,  295, 1548,  346,  345, 1543,  348,
1474,  369,  272,  372,  404,  270,  356,  355,   16,  376,  625,  628,  373,
 424,  364,  363,  807,  808, 1350,  806,  350, 1287,  331,  352,  361,  407,
  17,  358,  378,  377, 1357, 1356,  410,   18,  415,  310, 1064,  939,   92,
1026, 1010, 1070, 1088, 1073, 1923, 1682, 1274, 1351, 1312, 1386, 1362,  432,
1545, 1336, 1367,  353,  406,  405,  374, 1918, 1905,  381,   82, 1309,  414,
 413,  383, 1044,  627,  528,   25, 1273,  422,  421,  663,  362, 1160, 1877,
 750, 1375,  436,  297,  174,  400, 1343,  173, 1353,  429,  184, 1211,  910,
 899,  441, 1945, 1948,  955, 1964, 1971, 1077, 1908, 1180, 1985, 1996, 1887,
1880,  336, 1507,  457,  456, 1364,  175,  494,  464,  463,  462,  461,  241,
 490,  489,  488, 1239, 1674, 1442, 2019,  474,  473,  499, 1952, 1298, 1834,
1750,  216,   59,   35,  483,  551,  550,  487,  486,  468,  467,  466,  757,
 492,  493,  460,   60,  339,  497, 1886,  475, 1837,  948, 2107, 1698,  232,
 311,  290,  217,  519,  552,  510,  511,  512,  518,  517,  516,  515,  514,
 513,  508, 2053, 1267,   62,  524,  523, 2139,  532,  533,  418,  582, 2109,
2141,  526,  527,  291,  292,  293, 1583, 2155, 2156, 1580,  327,  542,  543,
 544,  545,  546,  547,  549,  548,  485,  484,  509,  652,  668,  686,  837,
 635, 1039,  993, 1182, 2166, 2171,  815,  895, 1269,  566,  567,  568,  179,
 180,  181,  572,  573,  574,  575,  204, 1875,  935, 1828, 1626,  977,  529,
1790,  950,  234,  235,  588,  587,  207, 2028,  592,  591,  626, 1789, 1745,
 657,  237,  236,  708,  600,  233,   65,   66,   98, 1277,  183,   63,  609,
 608, 1061, 1423,  206, 1086,  615,  614,   97,  768,  687,  620,  619, 1665,
 208,  742,  659,  359,  593,  417,  360,  778,  675,  632,  631, 1571, 1933,
 557, 2079,  943, 2020, 1658, 1646, 1224,  863,  888,  754, 2101, 2143, 2110,
 209, 1301, 1586,  203,  553,  900,  654,  655, 1585,  596,  230,  624,  676,
1029,  662,  423,  684,  685,  667,  666,  554, 1818,  878,  851, 1708, 1681,
 728,  630,  660, 1030, 1031, 1036,  779,  212,  683,  682,  664,  665,  555,
 618, 2011, 1237,  691,  690, 1657,  694,  693, 1107, 1407,  710, 1050, 1664,
1683,  213,  702,  191, 1033,  803, 1083,  723,  599,  302,  697,  733,  734,
 714,  713,   46,   45,   93,  722, 1666, 1610, 2206,  718,  707, 1392, 1352,
 780, 1768,  674, 1059, 1117, 1043, 1921,  711,  712,  801, 1283, 1487,  859,
1867, 1636,  846,  623, 1670, 1671, 1758,  746, 1722, 1716, 1944,  427, 1460,
1046, 2102,  644,  867,  845,  491, 1260, 1261, 1930,  903, 2077, 2030, 1240,
1465, 1943, 1942,  617,  251,  190, 1193, 1241, 1242, 1234, 1719, 2001,   58,
 629,  680,  726,  304,  303, 1904, 2018,  792,  976, 1619,  789,  788, 1105,
1247,  785,  911, 1203, 1202, 1910, 1651, 1650,  200, 1028,  735, 1053,  705,
1566, 1774,  368,  365,  366, 1071, 1373, 1374, 1929, 1729, 2174,  563, 1285,
 240,  844,  919,  918,  822,  821,  983, 1223, 1208, 1418, 1422, 1005, 1201,
1379, 1378, 1981,  834,  833, 1232, 1649,  556, 1449,  865,  843,  891,  892,
 840,  818,  756,  741,  848,  847,  871,  870,  671, 1457,  874, 1024, 1027,
1866,  858,  857,  738, 2208,  885, 1264,  642,  912,  839, 1858,  755,  869,
 868,  850,  849,  925, 1025,  853, 1464, 1438, 1434,  670, 1369, 1212, 1539,
1468, 1289, 1770,  861, 1721, 2104,  643,  260,  254,  841,  842,  894,  893,
 564,  967, 2142,  966,  440,  653, 1054, 1408,  761, 1250, 1739,  975, 1804,
1794,  940,  439,  793,  864, 2134, 1823, 1689,  238,  984,  820,  819,  927,
 934, 1769,  985, 1808,  872,  228,  920,  928,  930,  929, 2113,  933,  932,
 921,  578, 1210,   64, 1092,  386,  909, 1822, 1833,  637,  239, 1767, 1760,
 332,  501, 2016,  584, 1809, 1694, 2127, 1965,  444, 1447, 1238, 2095, 2094,
2237, 2089, 2196, 1826, 1813, 1814,  898,  896,  969,  968, 1675, 1677, 1676,
 244, 1684,  906,  786,  581, 1691, 1779, 1057, 1127, 1132,  823,  917,  923,
1627, 1695, 1787, 1788, 2015, 2130, 1797,  559, 1306, 1015,  997,  996, 1034,
1032, 1012, 1001, 1325, 1324, 1334,  828,   91,   55, 1101, 1184,  389, 1017,
1000, 1013, 1014,  995, 1169, 1011, 1019, 1018, 1217, 1197,   57,  201,  854,
 873,  388,  855,  800,  661,  677,  678,  999,  704,  998,   47,  679, 1038,
1037,  558, 1227, 1042, 1041,  731,  416, 1359,  752, 1185, 1049, 1048,  698,
1192, 1191,  802,  901, 1466, 1400,  980,   48,  729, 1094,  610,   49, 1225,
 385, 1278, 1275, 1068, 1067, 1075,  390,  809, 1074,  392, 1072, 1069, 1857,
 447, 1978, 1080, 1079,  202,   50,  706, 1085, 1084,  613, 1435,  391, 1108,
1128, 1648,  938, 1118, 1060, 1618, 1406, 1272, 1847, 1100, 1099, 1008, 1110,
2129, 1772,  790, 1802,  695, 1089,   51, 1102, 1150, 1116, 1144, 2055, 1131,
1112,  730, 1093, 1148, 1155, 1156, 1941, 1455, 2222, 1152, 1714,  981, 1090,
1190,   52, 1115,  982, 1134, 1133,  255,  256,  257, 1139, 1138, 2170, 2091,
2024, 1951, 1113, 1865, 1980, 1993, 1119, 1656, 1111, 1151, 1125, 1318, 1494,
1120, 1121, 1389, 1382, 1927,  425, 1773, 1380, 1602, 1508,  318,  319, 1168,
1167, 1016, 1372, 1335, 1439, 1174, 1173,   89,   90,   56, 1488, 1370,  449,
1844,  560, 1662, 1009, 1047, 1199, 1200, 1189, 1188, 1129, 1052, 1051,  771,
1717, 1718, 1228, 1021, 1354, 1186, 1187,  829,  795,  794, 1205, 1204, 1282,
1726,  825, 1454,  936,  438,  880,   86,   87, 1216, 1215, 1020, 1720, 1654,
1222, 1647, 1220,  824,  641, 1063, 1286, 1040, 1196, 1843, 1987, 1976,  835,
1655,  774, 1661, 2025,  689,  957,  469,  764,  772,  773, 1800, 1962, 1253,
  61,  791, 1259, 1963,  904, 1252, 1251, 1245, 1268, 1256, 1255, 1258, 1257,
1248,  758,  759, 1623, 2023,  862, 1874,  338,  521, 1254,  565, 1271, 1270,
1097,  420,  395, 1066, 1276,  605, 1065, 1470, 1668, 1667, 1206,  736, 1669,
 816, 1226,  370, 2168,  883, 1443, 1393,  178, 1609, 1932, 1570, 1381, 1912,
 477, 1300, 1299,  649, 1303, 1302, 1640, 1765,  994, 1917, 1916,  412,   83,
  84,  397, 1409, 1314, 2202, 1368, 1366, 1153, 2252, 2256, 2175, 2090,  158,
1003, 1002, 1330, 1501, 1329, 1328, 1326, 1331, 1333, 1332, 1004, 1171,  402,
1542, 1925, 1629, 1347, 1509, 1514,  433, 1513, 1489, 1490, 1340,  176, 1431,
 367,  396,  725,  435, 1198,  335,  380,  379,  271, 1045, 1417, 1608,  399,
1385,  458,  177, 1317,  403, 1316,  879, 1179,  329, 1170,  810,  811,  428,
1461, 1934,  831,  830, 1162, 1296, 1158, 1530, 1485, 1363,  398, 1388, 1387,
1157, 1914, 1915,  724, 1291, 1395, 1394,  282, 1551,  243,   81, 1056, 1403,
 249, 1401, 1405, 1404, 1096,  696,  902, 1313, 1411, 1410, 1984, 1414, 1413,
 229, 1416, 1360,  826, 1419, 1433, 1421,  827,  611, 1424, 1425, 1426, 1605,
1429, 1428, 1486, 1349, 2207, 1420,  877, 1087, 1727, 1977,  876, 1172,   88,
1441,  471, 1290, 1938, 1968, 1969,  956, 1856,  838, 1451, 1450, 1907, 2010,
1209, 1123, 1935,  852, 1459, 1458,  751, 1376, 1953, 1954,  875,  765, 1055,
 326,  882, 1926, 1279, 1757, 1955,  127,  349, 1493, 1477, 1476, 1479, 1478,
 135,  161,  148,  337,  325, 1384, 1430,  737, 1178, 1345, 1346, 1538, 1500,
1475, 1154, 1504, 1595, 1598, 1498, 1499, 1492, 1327, 1524, 1599, 1495, 1521,
 120,  455, 1164, 1341,  157,  156, 1512, 1344, 1342, 1589, 1516,  153,  121,
 152,  151, 1505, 1522, 1523, 1502, 1528, 1527, 1526, 1525, 1593, 1383, 1600,
1533, 1532,  283, 1535, 1903, 1597, 1491,  881, 1540, 1541, 1337,  347, 1552,
 401, 1546,  126,  344, 1936, 2209, 1397, 1544, 1560, 1555, 1554, 1556, 2034,
1559, 1558, 1553, 1811, 1983, 1937, 1801, 2179,  804, 1986, 2200, 1906, 1295,
 633,  131, 1949,  132,  275,  133, 1577, 1579, 1578,  540,  276,  134,  537,
 277,  656,  650, 1587, 2290, 1515, 1902, 1591,  149, 1529, 2291, 1496,  150,
1537, 1497, 1503, 1531, 1601, 1163, 1603, 2219, 1427, 1940,  250, 1361, 1293,
 720, 1799, 1613, 1612, 1873, 2198, 1746, 1700, 1095,  787, 1738, 1819, 1775,
1262, 1752, 1816,  580,  986, 1852, 1339,  225, 2273, 1958, 1947, 1950,  198,
 740, 1966, 1999, 1939, 1304, 1642, 1641,  199,  226, 2176,  640, 1221, 1091,
 836,  798,  797, 1653, 1652, 1219, 1233, 1149,  692,  639, 1660, 1659, 1235,
1183, 1861,  699,  621,  719, 1281, 1280, 1284,  743,  744, 1839, 2029,  470,
 970,  972,  971, 1679, 1678, 1751,  673,  394,  700,  974, 1741, 2041, 2205,
2245,  915, 1796,  978, 1780, 1781,  952,  987, 1835, 1776,  503,  252, 1617,
1702, 1701, 2063, 1810, 1706, 1705, 1756,  672, 1753, 1946, 1992, 1922, 1972,
1126, 1913,  748, 1194, 1195,  775, 1218,  886,  747, 1724, 1723,  227, 1207,
1436, 1846,  813, 1766, 1732, 1731, 1734, 1733, 1744, 1737, 1736, 1620,  905,
1740, 1685, 1743, 1742, 1735,  595, 1616, 2098, 1838, 1836,  479, 1680, 1624,
1709, 1755, 1754, 1707, 1471,  745, 1868,  946, 1762, 1761, 1764, 1763, 1305,
1730,  945,  727,  922,  884, 2154, 1104, 1161,  805, 1622, 1697, 2049, 2050,
 979, 1692, 1693, 1807, 2131, 2182, 1786, 1785,  988,  989,  594,  583, 1792,
1791, 1795,  908, 1793, 1690,  992, 2187, 1611, 1243, 1564, 1106, 1928,  907,
2065, 2013, 1782,  924,  951, 1704, 1561, 2061,  964,  965, 1825, 1625, 2183,
 669, 1621, 2125, 2014,  941,  914, 2122, 1815,  963, 2054,  579,  253, 2204,
2243, 2178,  942,  478, 1696, 1749,  500, 1748, 1672, 2099, 2035, 2149, 1229,
1181,  259, 1728, 1098, 2002,  258, 1851, 1850, 1628, 2201, 1855, 1854, 1448,
1076,  866, 1860, 1859, 1663, 2244, 1864, 1863, 1145,  856,  739, 1759, 1911,
1871, 1870, 1924, 1614, 1265,  577, 1909,  426, 2004, 2009,  453, 1888, 2003,
1884, 1883, 1931,  498,  452, 1881, 1890, 1889, 1892, 1891, 1894, 1893, 1896,
1895, 2000, 2039, 1900, 1899, 1975, 1590, 1536,  783,  409, 1569, 1452,  448,
1876,  796, 1869, 1297, 1715, 1390, 1391, 1308, 1307,  408, 1920, 1919,  732,
1712,  393, 1872, 1338, 1469, 1159, 1803,  812,  760, 1885, 1294,  634, 1377,
1456, 1549, 1563, 1444, 1639, 1606, 1122,  767,  766,  749,  442, 1710, 1633,
 443, 1573, 1634, 1143,  476, 1462, 1463, 1472, 1957, 1956, 1632, 1967, 1961,
1960, 1244, 1249,  445,  954, 1637, 1959, 1445, 1446, 1970,  446, 1713, 1973,
1974, 1901, 1231, 1437, 1078, 1979, 1146,  832, 1982, 1562, 1412,  450, 1567,
1230, 1994, 1995, 1991, 1990, 1711, 1147, 1988, 1989,  451, 1998, 1997, 1638,
1897,  776, 1848, 1882, 1878, 2006, 2005, 2008, 2007, 1879, 1453,  688, 2033,
1806, 1821,  990,  949, 2036,  784,  472,  638, 2045, 2231, 1263, 1142, 1236,
2027, 2026,  590, 1673,  763, 2032, 2031, 2012, 1557, 1841, 2017, 2038, 2037,
1898, 2100, 1686, 2066, 2056, 2058, 2021, 2203, 2241, 2048, 1777, 1778, 2140,
2052,  520, 1827, 1114, 2043, 2242, 2044, 2081, 2075, 1812, 2146, 1703, 2145,
1805, 2042, 2106, 2194, 2069, 2263, 2072, 2071, 2135, 2160, 2060, 2085,  762,
2086,  636, 2165, 2059, 2246, 2185, 2181, 2076, 2078, 2157, 2088,  961, 1322,
1141, 2112, 2212,  959,  958, 2097, 2096, 1747, 1840, 2040,  645,  753, 2276,
 887, 2253, 2067,  502, 2118,  530,  647, 2211, 2092,  931, 2195, 2269, 2238,
2230, 2108, 2236, 2240, 2121, 1824, 2126, 2136, 1820, 2123,  953, 2228, 1103,
 991, 1783, 2226, 2227,  913, 2073, 2124, 2285, 2138,  525, 2051,  531,  897,
 646, 2275, 2064, 2062, 2186, 2229, 1842, 2267, 2268, 2232, 2215, 1771,  538,
 539, 2087, 2260, 2257, 2074, 2164, 2184, 2188, 2161, 2080,  561, 2173, 1288,
2284, 1140,  562, 2172, 2167,  814, 1321, 1645, 2177, 1832, 1565, 2180, 2084,
1784, 1817, 2162, 2083, 2147, 1798, 2163, 2250, 2197, 2192, 2191, 2210, 2068,
2114,  962, 2190, 1615, 2199, 1568, 1853, 1315, 2046, 1830, 1687,  721, 1432,
 860, 1550, 2193, 2111, 2093, 2214, 2213, 2153, 2216, 2218, 2217, 1604, 2221,
2220, 1124, 2223, 2224, 2225, 2132, 2133, 2128, 2148, 2117, 2022, 2152, 2239,
2235, 2234, 2119,  960, 2116, 2233, 2120, 2047, 2057, 1831, 1862, 1688, 2082,
2247, 2251, 2249, 2189, 2248, 1319, 2105, 2254, 2258, 1320, 2159, 2255, 2259,
2158, 2283, 2265, 2070, 2297, 2262, 2279, 2150, 2151, 2115, 2270, 2271, 2272,
1631, 2287, 2144, 2103, 2281, 2300, 2266, 2280, 2277, 2282, 2261, 2169, 2137,
2286, 2274, 2288, 2289, 1588, 1594, 2292, 2293, 2294, 2295, 2296, 2264, 2299,
2298, 2278],
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  23,   26,   25,   28,   27,  231,   31,   30,   20,   34,   33,  290,  281,
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1399,  940,  909,  248,  243,  386,  385,  478, 1730,  239,  256,  255,   88,
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1484,  325,  324, 1467,  460, 1474, 1170,  312,  374,  235,  333,  342,  336,
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 357,  373,  381,  410,  380,  379,  377,  382,  384,  383,  251,  250,  717,
 389,  388,  809,  392,  391, 1159,  395,  394, 1291, 1409,  879,  367,  433,
1287, 1171, 1542,  372,  405,  406,  371,  732, 1444,  378,  658, 1045,  436,
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 439, 1419,  443,  442, 1447,  446,  445,  447,  449,  448, 1549,  452,  451,
1879, 1355, 1164,  457,  456,  435, 1292,  327,  241,  462,  463,  465,  464,
 466,  468,  467,  764,  471,  470, 1557,  474,  473,  476,  475,  862,  252,
1750,  504,   22,  506,  543,  485,  484,  515,  516,  489,  488,  490,  845,
 493,  492,  541,  496,  495,  544,  689, 1952, 2036, 1826,  647, 1700,  480,
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 517,  552,  521,  520,  535,  524,  523, 2140,  527,  526,  627,  530,  529,
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 497,  547,  510,  545,  548,  549,  551,  550,  519,  554,  553,  620,  556,
1256,  559,  558, 1226,  562,  561, 1726,  565,  564, 2048,  600,  575,  570,
 569,  571,  542,  574,  573,  568,  606,  789, 1210, 2054, 1816, 1815, 2109,
 688, 1458,  601,  947,  587,  588,  612,  591,  590, 2028,  613,  595,  594,
 597,  596,  599,  598,  567,  585,  603,  602,  616,  648,  576,  937,  953,
2127, 1094, 1435,  589,  593, 1054,  901,  604,  618,  617,  686,  555, 1665,
 623,  622,  661,  360, 1086,  528,  359,  630,  629,  676,  660,  634,  633,
1255,  637,  636, 2020,  640,  639, 1647,  643,  642,  867,  646,  645,  502,
 605,  650,  649, 1035,  668, 2125, 2180, 2121, 2087,  237,  411, 1029,  632,
 624,  702,  424,  665,  664,  714,  713,  652, 1251,  671,  670,  673,  672,
1623,  778,  631, 1403, 1040,  980,  902,  701,  816, 1285,  685,  684,  619,
 768,  583,  498,  691,  690, 2179,  694,  693, 1802,  697,  696, 1400,  699,
1678,  681,  662,  190,  803, 1033, 1108,  718,  236,  726, 1407,  712,  711,
 667,  666,  716,  715,  387,  707,  743,  720,  860,  723,  722,  725,  724,
 709, 1294, 1262, 1103,  840,  416,  408,  734,  733, 1028,  737,  736, 1206,
 740,  739,  825,  208,  719,  745,  744, 1013,  748,  747,  832,  427,  752,
 751,  866,  755,  754,  757,  756, 1248,  760,  759, 1250,  763,  762,  469,
1220, 1653, 1901,  687, 1064,  191, 1193, 1241, 1242,  824, 1846, 1897, 1022,
 675, 1408,  302,  303,  304, 1288, 1710,  785,  787,  786, 1875,  577,  791,
 790,  792,  827,  795,  794, 1869,  798,  797, 1025,  801,  800, 1055,  704,
1160, 1774,  806,  808,  807,  390,  811,  810, 1712,  814,  813, 1207,  682,
 844,  240,  820,  819, 1808,  924,   56,  774,  741, 1293,  793,   91, 1216,
 831,  830,  749, 1232,  835,  834, 1304,  837,  258,  839,  730, 1611, 1751,
1117,  817,  491, 1208,  927,  920,  861, 1289,  878, 1209, 1464,  855,  854,
1145,  858,  857, 1282,  721,  849,  477,  888, 1235,  865,  753,  644, 2142,
 897,  883,  885, 1092,  200,  875,  874,  877,  876,  851,  398, 1121,  882,
 881,  870, 1741,  871,  887,  886,  863,  916,  944, 1799, 1680, 1807, 1782,
1269,  898,  869,  896,  910, 1820,  615,  680,  904,  903, 1620,  907,  906,
 972,  247,  899, 1422, 1661,  942,  941, 1796,  889,  923,  919,  918,  848,
 922,  921,  917,  822,  938, 1415,  847,  928,  930,  929, 2195,  933,  932,
1769,  936,  935,  607,  925, 1607,  246,  914,  913, 2079,  890, 1771, 1868,
 586,  963, 2061, 1459, 2124,  978,  608, 2128,  956,  955, 2099,  959,  958,
2120,  962,  961,  948, 1814, 1813,  967,  966,  992, 1797, 1677, 1675,  908,
 973,  986, 1804, 1619, 1825,  952,  531,  679,  982,  981, 1177,  985,  984,
 974, 1835, 1920, 1967,  991,  990,  968, 1039,  994,  998, 1296, 1381,  995,
1016, 1017,   72, 1003, 1002,  428, 1006, 1005,   53, 1099, 1047, 1026, 1012,
1011,  746, 1424, 1034,  999, 1000, 1063, 1225, 1021, 1020,  777, 1081, 1027,
 799, 1010, 1024,  735,  659, 1401, 1227, 1169,  705, 1015,  651, 1057, 1295,
1570,  993,  678, 1067, 1068, 1044, 1043,  412, 1460, 1009, 1168, 1167, 1056,
1090, 1129, 1466,  614,  802, 1050, 1036, 1062, 2129, 1061, 1060, 1058, 1018,
 769, 1066, 1065, 1041, 1042, 1072, 1071, 1070, 1069, 1088, 1075, 1074, 1448,
1077, 1563, 1080, 1079, 1023,   50, 1089, 1085, 1084,  626, 1423, 1073, 1083,
1051, 1218,  872, 1122,  610, 1095, 1139,  420,  259, 1008, 1101, 1100, 1111,
 729, 1161, 1247, 1107, 1106,  706, 1130, 1150, 1102, 1116, 1144, 1141, 1125,
1112,  843, 1941, 1120, 1119,  880, 1093, 1420, 1126, 1115, 1124, 1132, 1192,
1052, 1109, 1152, 1127, 1172, 1439, 1136, 1135, 1440, 1406, 1096, 1456, 1114,
1263, 1445, 1113,  856, 1713, 1638, 1155, 1183, 1110, 1151, 1131, 1162, 1475,
1148, 1212, 1158, 1157,  393,  804, 1104, 1153, 1427,  455, 1166, 1165, 1049,
1048, 1032,  329,  402, 1133, 1188, 1189, 1176, 1175,  983, 1178, 1179, 1908,
1907, 1286, 1149, 1185, 1184, 1187, 1186, 1173, 1174, 1191, 1190, 1128,  771,
1195, 1194, 1228, 1217, 1461, 1200, 1199, 1215, 1203, 1202, 1205, 1204,  738,
 815,  846,  852,  578, 1290, 1156, 1214, 1213, 1201,  829, 1197, 1091, 1233,
 765, 1224, 1465, 1234, 1221, 1019,  560, 1031, 1196, 1305, 1231, 1230,  833,
1219, 1223,  864, 1236, 1886, 1840, 1240, 1239,  772,  773, 1564, 1249, 1245,
 536, 1105,  758, 1244,  761,  669, 1818, 1253, 1254,  635,  557, 1616, 1746,
1260, 1259, 1930,  728, 1142, 1298, 1614,  534, 2053, 1268,  895, 1755, 1754,
1273, 1272, 1682, 1278, 1425,  209, 1275, 1613, 1281, 1280,  859, 1487, 1471,
 683, 1182,  401,  783,  850, 1211,  396,  459,  826,  727, 1037,  996, 1469,
1264, 1302, 1303, 1586, 1299, 1300,  836, 1229, 1306, 1308, 1307, 1359, 1311,
1310, 1313, 1312,  108, 1315, 1317, 1316, 1380, 1320, 1319, 1322, 1321, 1323,
1325, 1324, 1330, 1501, 1340, 1347, 1326, 1331, 1333, 1332, 1375, 1336, 1335,
1367, 1339, 1338, 1328, 1342, 1341,  432, 1502, 1490, 1489, 1329, 1365, 1486,
1362, 1393, 1392, 1364, 1376,  454, 1357, 1356,  351, 1309, 1361, 1360, 1350,
1385, 1353, 1348, 1368, 1337, 1366, 1386, 1370, 1372, 1371, 1374, 1373, 1334,
1354, 1606, 1379, 1378, 1318,  997, 1389, 1387, 1394, 1363, 1369, 1383, 1530,
1382, 1391, 1390, 1352, 1351, 1384, 1485, 1397, 1396, 1402,  245,  698, 1030,
1398,  677, 1793, 1795, 1138,  710,  779,  397, 1410, 1411, 1562, 1413, 1414,
 926,   85, 1608, 1609,  441, 1123, 1426,  911, 1087, 1014, 1276, 1421, 1163,
1428, 1429, 1431, 1430, 1472, 1455, 1438,  611,  227, 1711, 1434, 1134, 1137,
2225, 1674,  438,  409, 1143, 1637,  444, 1076, 1849, 1960, 1961, 1844, 1878,
1457, 1433, 1140, 1454,  584,  950, 1046, 1198, 1463, 1462,  853, 1222, 1053,
 326, 1539, 1297, 1612, 1284, 1432,  295,  328, 1154, 1477, 1476,  148, 1482,
1584, 1481, 1479,  337,  323, 1395, 1349, 1283, 1488, 1346, 1345, 1492, 1491,
1494, 1493, 1521, 1497, 1496, 1499, 1498, 1538, 1327, 1344, 1529, 1505, 1504,
1518, 1508, 1507, 1514, 1511, 1510, 1512, 1524, 1509, 1589, 1516, 1519, 1506,
1517,  356, 1495, 1523, 1522, 1513, 1526, 1525, 1528, 1527, 1503, 1388, 1590,
1533, 1532, 1543, 1535, 1537, 1536, 1500, 1468, 1541, 1540,  403, 1534, 1544,
 370, 1577,  296,  344,  450, 1567,  282, 1552, 1553, 1555, 1554, 1556,  472,
1559, 1558, 1560, 1898, 1412, 1078, 1243, 1657,  425, 1550, 1663, 1628, 1038,
1933, 1574, 1632, 1572, 1581, 1582, 1546, 1578, 1579, 1580, 1575, 1576, 2155,
1480, 2157, 1301, 1587, 1594, 1515, 1531, 1591, 1596, 1599, 1588, 1598, 1592,
1903, 1595, 1593, 1902, 1601, 1605, 1603, 1631, 1602, 1377,  939, 1417, 1418,
1610,  841, 1470, 1279, 1265, 2190, 1257, 1698, 1618,  976,  905, 1622, 1621,
 674, 1709, 1626, 1625, 1684, 1569, 1925, 1644, 1604, 1573, 1634, 1633, 1643,
1867, 1446, 1147, 1872, 1649, 1645, 2176, 1635, 1630, 1641, 1658,  641, 1720,
1640, 1651, 1650, 1943,  766, 1655, 1654, 1662, 1565, 1646, 1723, 1724,  912,
1656, 1568, 1664,  621, 1670, 1668, 1667, 1757, 1666, 1758, 1673, 1672, 1442,
 971, 1794,  970,  700, 1683,  892, 1708, 1274, 1679, 1627, 1770, 1785, 1803,
2193, 1690, 1689, 1694, 1693, 1692, 1691, 1696, 1695, 1792, 1617, 1834,  503,
1883, 1884, 1842, 1885, 1707, 1756, 1705, 1681, 1624,  784, 1437,  812, 1146,
2222, 1876, 1722, 1718, 1717, 1728, 1648, 2104, 1716, 1659, 1660, 1727,  563,
1725, 1719, 2174,  253, 1783, 2131, 1735, 1744, 1733, 1743, 1742, 1739, 1738,
1740,  884, 1737, 1736, 1734, 1789, 1258, 1841, 1749, 1748,  479,  842, 1753,
1752, 1271, 1270, 1706, 1669, 1671, 1760, 1759, 1888, 1881, 1764, 1763, 1843,
1829, 2154, 1932,  934, 1685,  945, 1773, 1772,  805, 1819, 1791, 1778, 1777,
2141, 1781, 1780,  894, 1731, 1817, 1686, 2041, 1919, 1959, 1745, 2011, 1776,
1697, 1404, 1676, 1405,  915,  969, 2147,  891, 1801, 1800,  695, 1687,  975,
1806, 1805,  893,  821, 2136, 1931, 2039, 2016,  965,  964,  581,  580, 1784,
1252, 1775,  900, 2118, 1823, 1822, 2122,  977,  501, 1828, 1827, 1766, 1831,
1830, 2081, 2134, 1699,  987, 1838, 2017, 1836, 2029, 1238, 1747, 1703, 1765,
1452, 1847,  775, 1845, 1882, 1449, 1853, 2201, 1906, 1850, 1863, 1864, 1857,
1856, 2102, 1862, 2244, 2200, 1859, 1854, 1855, 1866, 1865, 1636,  946,  796,
1870, 1871, 1639, 1874, 1873,  788, 1715,  426, 1453,  453, 2009, 1762, 1848,
1701, 1702, 1704, 1237, 1996, 1761, 1891, 1892, 1889, 1890, 1895, 1896, 1893,
1894,  776, 1561, 1899, 1900,  767, 1600, 1597, 2168, 1938, 1852, 1181, 1180,
1913, 1911, 1910, 1926, 1909, 1915, 1914, 1917, 1916, 1921, 1787,  988, 1918,
1929, 1927, 1939, 1629, 1912, 1923, 2205, 1922, 1261, 1810, 1768, 1571, 1940,
2170, 1985, 1978, 1905, 1924, 1934, 1118, 1975, 1652, 1981, 1948, 2018, 1950,
1945, 1958, 1947, 1968,  499, 1954, 1953, 2207, 2242, 2057, 1949, 1788, 1450,
1451, 1963, 1962, 1971, 2228, 1969,  989, 1951, 1966, 1973, 1964, 1980, 1970,
1982, 1942, 1987, 1992, 1937, 2259, 1972, 1944, 1974, 1984, 1983, 1936, 2209,
1976, 1989, 1988, 2213, 2214, 1977, 1999, 1995, 1994, 1887, 2167, 2173, 1993,
2001, 2000, 2003, 2002, 2010, 2007, 2008, 2005, 2006, 1880, 2004, 1790, 2100,
2065, 2108, 2130, 1812, 1837, 1946, 2034,  638, 2161, 2119, 2024, 2023, 2025,
2076, 2085,  592, 1839, 2077, 2032, 2031, 2040, 2019, 2098,  500, 2038, 2037,
1811, 2033, 1786, 2106, 2044, 2043, 2164, 2047, 2046,  566, 2050, 2049, 2139,
2052, 1267,  579, 2091, 2058, 1957, 2056, 2178, 2160,  949, 2064, 2149, 2062,
2013, 2067, 2066, 2194, 2069, 2115, 2072, 2071, 2126, 2075, 2074, 2026, 2030,
2112,  943, 2165, 1832, 2105, 2084, 2083, 2027, 2092,  656, 2088, 2196, 2175,
2055, 2086, 2111, 2095, 2094, 2096, 2097, 2035,  957, 2012, 2143, 1858, 2189,
1721, 2082, 2042, 2110, 2014,  582, 2107, 2093, 2078, 2114, 2113, 2070, 2117,
2116, 1821, 2022,  960,  655, 1824, 2135,  951,  653, 2073,  609,  954, 1059,
2015, 1732, 2133, 2132, 1833, 2123, 1809, 2169, 2138, 2051,  525, 1779,  868,
2101, 2148, 2146, 2145, 1798, 2144, 2063, 2151, 2150, 2153, 2152, 1767, 1583,
2156, 1585, 2159, 2158, 2060, 2021, 2163, 2162, 2045, 2080, 2171, 1997, 1904,
2137, 1935, 2166, 2172, 1998, 1729, 2090, 1642, 2177, 2059,  692,  654, 2185,
2183, 2182, 2188, 2181, 2187, 2186, 2184, 2103, 1615, 2191, 2192, 1688, 2068,
 931, 2089, 2198, 2197, 2199, 1861, 1851, 2202, 2241, 2243, 1928, 2208, 1955,
2206, 1986, 2245, 2212, 2211, 1990, 1991, 2232, 2216, 2251, 2248, 2273, 2221,
2220, 1714, 2224, 2223, 1441, 2227, 2226, 1965, 2275, 2238, 2236, 2215, 2234,
2233, 2239, 2231, 2240, 2230, 2235, 2237, 2203, 1956, 2204, 1860, 2210, 2253,
2247, 2218, 2249, 2276, 2217, 2256, 2246, 2254, 2258, 2252, 2260, 2255, 1979,
2257, 2266, 2297, 2269, 2265, 2264, 2261, 2268, 2267, 2263, 2270, 2271, 2272,
2219, 2287, 2229, 2250, 2281, 2300, 2283, 2280, 2277, 2282, 2279, 2285, 2284,
2288, 2274, 2286, 2289, 2291, 2290, 2292, 2293, 2294, 2295, 2296, 2262, 2299,
2298, 2278],
    \[         2,    1,   10,    4,    5,   33,   34,   80,  105,    3,
  11,   12,   13,   14,  313,  358,  381,  400,  336,   21,   20,   22,   23,
  25,   24,  544,  573,   28,   30,   29,  237,  216,    6,    7,   36,   35,
  58,  741,  755,  869,  848,  822,  247,   45,   44,  998,   48,   47, 1060,
  51,   50,   52,   54,   53, 1012,   57,   56,   37,   59,   60,   61,   63,
  62, 1085,  191,  219,  183,  209,   69,  165,   71,   72,  162,  432,  410,
 375,  413, 1354,  997,    8,  249,   83,   82, 1138,   86,   85,   87,   89,
  88, 1197,   92,   91,  182,   94,   95,   97,   96,  709,  103,  135,  102,
 101,   99,  104,    9,  106,  158, 1326,  157,  454, 1358,  354,  342, 1383,
1384,  117,  116,  335,  120,  119, 1540,  123,  122,  125,  124,  312,  128,
 127,  261,  131,  130,  327,  293,  339,  100,  136,  161,  141, 1538, 1346,
 138, 1528, 1520, 1519, 1502, 1526, 1527,  149,  148, 1523,  152,  151,  154,
 153,  156,  155,  109,  107,  180, 1301,  137,   73, 1328,  173,   70, 1313,
1362,  404, 1356, 1386, 1364, 1343,  164, 1340,  176,  175, 1392, 1369,  179,
 159,  181,   93,   67,  995, 1193, 1241,  188,  187,  190,  189,   65, 1329,
 382, 1339,  195, 1013,  198,  197, 1108,  201,  200,  801,  418,  204,  206,
 205,  235,  338,   68,  460,  243,  302,  303,  244,  215,   32,  218,  217,
  66,  740,  882,  707, 1184,  225,  224, 1424,  228,  227,  682,  359,  231,
 232,  233,  234,  207,  279,   31,  826,  864,  774,  252,  972,  211,  214,
 246,  245,   43,  974,   81,  251,  250,  241,  819,  255,  254, 1293,  878,
1217,  260,  259,  129, 1509,  341, 1508,  265,  288,  268,  267,  337,  271,
 270,  285,  289,  275,  274,  306,  278,  277,  236,  726,  298, 1170,  283,
 311,  272, 1342, 1514,  266,  273,  703, 1084, 1242,  133,  349, 1551,  328,
 431,  281,  299,  455,  301,  212,  213,  305,  304,  276,  332,  456,  326,
 395,  284,  126,   15,  355,  356, 1473,  318,  317, 1541,  321,  320,  322,
 324,  323, 1178,  309,  132,  296,  343,  457,  420,  307, 1485, 1530,  118,
  19,  269,  208,  134,  340,  263,  113,  329,  345,  344, 1544,  348,  347,
 294,  360, 1517,  373,  380,  112,  314,  315,  378,   16,  230,  350,  379,
 396,  397,  365,  364,  724,  424, 1139, 1359, 1286,  452, 1357,  352,  409,
  76,  377,  376,  357,  361,  353,   17,  193,  408,  453,  386,  385,  388,
 387,  810,  391,  390, 1664,  394,  393,  310,  362,  363,  399,  398,   18,
1456,  765, 1014,  168, 1306, 1048, 1569,  383,  374,   75,  412,  411,   77,
1009, 1194,  417,  416,  203,  419,  331,  879, 1292,  435,  367, 1563,  767,
 766,  751, 1010, 1347,  297,   74,  434,  433,  423, 1373, 1389,  439,  438,
 850,  442,  441, 1472,  445,  444,  446,  448,  447, 1844,  451,  450,  371,
 384,  110,  300,  308,  330, 1409, 1291,  210,  849,  870,  899,  925,  948,
 467,  466, 1106,  470,  469, 1546,  473,  472,  475,  474, 1933,  478,  477,
 479,  480,  511,  482,  576,  533, 1959, 1960, 1755,  672, 2026, 2027,  492,
 491,  764,  494,  567,  656,  497,  633, 2019, 1829, 1699, 1745,  595,  512,
 505,  602,  603,  520,  553,  510,  481,  504,  565, 1725, 1457,  671,  926,
2081, 2075,  508, 1820,  523,  522,  607,  526,  525,  581,  529,  528,  980,
 532,  531,  484,  937,  623,  537,  536,  600,  702,  541,  540,  542,  650,
  26,  545,  585,  601,  763, 1756, 1709,  977,  951,  509, 1257,  556,  555,
 558,  557, 1845,  561,  560, 1272,  564,  563,  513, 1246,  495,  569,  568,
 606,  572,  571,   27,  596,  605,  483,  900,  927,  985,  609,  527,  651,
 624, 1251,  546,  587,  586,  589,  588, 1113,  591, 2052,  594,  593,  503,
 574,  597,  598,  701,  538,  547,  506,  507,  681,  575,  570,  524,  952,
 580, 1790, 1789,  612,  647, 1044,  627,  616,  827, 1203, 1211,  910,  622,
 621,  535,  583, 1096, 1423,  615, 1045, 1675, 1791, 1792,  675,  498, 2037,
 636,  635,  912,  639,  638,  640,  642,  641, 1813,  645,  644,  966,  613,
 649,  648,  543,  582, 1809, 2123,  962, 1893,  496,  657, 1406, 1061,  700,
 674,  662,  725, 1297, 1898, 1462, 2080, 2134,  670,  669,  516,  488,  697,
 661,  632, 1686, 1830,  981, 1094, 1705,  604,  229, 1731, 2046, 2066, 1685,
 911, 2129,  690,  689, 2034,  693,  692, 1066,  696,  695,  673,  699,  698,
 660,  599,  539,  290, 1247, 1161,  730,  222,  782,   98, 2085, 1687, 1932,
2179, 1204, 1038,  996, 1198,  836,  720,  719,  722,  721, 1468,  366,  663,
 280, 1195, 1043, 1058,  706, 1029,  733,  732, 1566,  736,  735,  855,  739,
 738,  220,   38,  773,  744,  743, 1610,  747,  746, 1542,  750,  749,  428,
1047,  754,  753,   39, 1633,  757,  759,  758, 1243,  762,  761,  548,  493,
 402,  427,  426,  965, 1696,  770,  771,  772,  742,  240, 1305, 1703,  821,
1697, 1622,  780,  781,  708, 1287, 1163,  809, 1739, 2056, 2062, 1616, 1702,
1191, 1192,  794,  793, 1224,  797,  796, 1031,  800,  799,  202,  803,  802,
1294, 1116, 1311, 1312, 1365,  785,  389, 1465,  813,  812, 1227,  816,  815,
 922,  823,  253,  862,  777,   42,  818,  825,  824,  238,  617, 1171,  830,
 829, 1711, 1901,  834,  833, 1281,  718, 1741, 1209,  866, 1304, 1550, 1663,
1121,  917, 1573,  847,  846,   41,  461,  440,  852,  851,  854,  853,  737,
 857,  856, 1713,  860,  859, 1730,  820, 1202,  239,  896,  839,  868,  867,
  40,  462,  872,  871,  874,  873, 1027,  876, 1416,  257,  421,  881,  880,
 221,  884,  883,  886,  885, 1091, 1221,  993,  969, 1798, 1850, 1727, 1662,
1285,  865,  898,  897,  463,  577, 2011,  903,  902, 1621,  906,  905, 1777,
 909,  908,  620,  687,  637, 1258, 1267,  916,  915,  844, 1720, 1837,  921,
 920,  817,  924,  923,  464,  517,  578,  929,  928,  930,  932,  931, 1892,
 935,  934, 1022,  534, 2017, 1919, 1793, 2145, 2160,  944,  943, 2045, 1762,
 947,  465,  950,  949,  552,  608, 1788,  955,  954, 2148,  958,  957, 2021,
 961,  960,  654, 1648, 1647,  768,  646, 1858, 1135,  890, 1776, 1679,  242,
1684,  248,  976,  975,  551,  979,  978,  530,  678, 1817,  984,  983,  579,
1627, 1695, 1787,  990,  989, 1781, 2014,  889, 1049,  184,  716,   79,   46,
1000,  999, 1315, 1322, 1307, 1005, 1004, 1026, 1032, 1011,  414,  429, 1008,
  55,  196,  403, 1157, 1017, 1016, 1298, 1834, 1270, 1458,  936, 1028, 1025,
1024, 1006,  875, 1023,  731, 1712,  798, 1007, 1052, 1037, 1059, 1062, 1034,
 715, 2079, 1859, 1199, 1568,  728,  614,  628, 1222,  752,  406,  994, 1073,
1071, 1033, 1773, 1103, 1104, 1072, 1262,  729, 1035,   49,  659, 1036, 1092,
1920, 1954,  694, 2040, 1611, 1070, 1069, 1051, 1056, 1050, 1090, 1088, 1076,
1452, 1879, 1112, 1774, 1283, 1102, 1282,  291,   64, 1254, 1095, 1075, 1093,
1074,  887, 1063, 1089,  679, 1087,  625, 1140, 1235, 1100, 1099, 1169, 1082,
1054, 1055, 1129,  468, 1236,  199, 1110, 1109, 1111, 1079,  590, 1115, 1114,
 805, 1206, 1643, 1119, 1196,  843, 1539, 1614, 1263, 1153, 1324, 1650, 1400,
1105, 1151, 2185, 1994, 2213, 2162,  968, 1256, 1818,   84,  368, 1097, 1325,
1162, 1144, 1143, 1145, 1146, 1147, 2249, 1233, 2247, 1130, 2252, 1125, 1154,
1999, 1640, 1015, 1570, 1160, 1159,  705, 1142,  784, 1165, 1164, 1166, 1168,
1167, 1101,  282,  828, 2001, 1983, 1811, 1450, 1459, 1210,  325, 1484, 1410,
1411, 1628, 1436,  223, 1220, 2200, 2186, 2241, 1735, 1701,  791,  792,  185,
 415,  727, 1120,   90,  717, 1041, 1736, 2219,  863,  618,  714, 1565, 1117,
1219, 2054,  838, 1177,  619, 1941, 1213, 1441, 1982, 1216,  258, 1264, 1207,
1185,  888, 1046, 1827,  795, 2036, 1904,  814, 1638, 1230, 1229, 1897, 1471,
1149, 1769, 1098, 1107, 1557, 1672, 1950, 1240,  186,  292,  760, 1673, 1250,
 566,  704, 1249, 1248, 1245,  584, 2016, 1819, 1086, 1609, 1136,  554,  913,
2161, 2008, 2007, 1057, 1124, 1218, 1276, 1665,  914, 2110, 2059, 1020, 1849,
 562, 1887, 1880, 1657, 1265, 1277, 1559, 1280, 1279,  835, 1083, 1081, 1470,
 895,  370,  783, 1444, 1290, 1289,  459,  422,  256,  804, 1296, 1295,  664,
1018, 1601, 1300,  160, 1316, 1363,  840,  775,  405, 1003, 1360, 1310, 1309,
 806,  807,  166, 1327, 1001, 1302, 1603, 1319, 1318, 1321, 1320, 1002, 1323,
1126, 1141,  108, 1314,  163,  192, 1330, 1332, 1331, 1333, 1335, 1334, 1374,
1338, 1337,  194,  174, 1510,  286,  172, 1345, 1344,  140,  430, 1393, 1493,
1351, 1350, 1353, 1352,   78, 1511,  169,  372,  111,  369, 1308, 1380,  167,
1303,  171,  808, 1366, 1367, 1385,  178, 1488, 1397, 1388,  436, 1336, 1376,
1375, 1378, 1377, 1604, 1361, 1382, 1381,  114,  115, 1368,  170, 1396, 1372,
 437, 1390, 1413,  177, 1348, 1395, 1394, 1387, 1371, 1676, 1405, 1128, 1869,
1404, 1784, 1402, 1399,  658, 2025, 2077,  458, 1180, 1181, 1848, 1391, 2132,
1732,  877, 2084, 1689, 1420, 1419, 1427, 1814,  626,  226, 1432, 1710, 1421,
1602, 2018, 1430, 1477, 1425, 1433, 1434, 1700, 1183, 1437, 2225, 2063, 1451,
1214, 1442, 1770, 1288, 1445, 1446, 1448, 1447, 1812, 1175, 1440, 1077, 1567,
2061, 2242,  401,  515, 1021, 1176, 1461, 1460,  666, 1558, 1487,  811, 1884,
1474,  723, 1704, 1284, 1232,  443,  316, 1467, 1476, 1475, 1431, 1499, 1479,
1481, 1480, 1529, 1547, 1179,  333, 1512, 1464, 1370, 1500, 1491, 1490, 1513,
1349, 1587, 1496, 1495, 1498, 1497, 1478, 1489, 1501,  145, 1504, 1503, 1505,
1507, 1506,  264,  262, 1341, 1355, 1486, 1492,  287, 1516, 1515,  351, 1518,
 144,  143, 1522, 1521,  150, 1525, 1524,  146,  147,  142, 1482,  334, 1532,
1531, 1588, 1535, 1534, 1536, 1591,  139, 1122,  121,  319,  748, 1543,  346,
1549,  471, 1483, 1552, 1545,  841,  295, 1548, 1749, 1571, 1886, 1750, 1237,
1463, 1278, 1841, 1562, 1561,  425, 1840, 1205,  734, 1453, 1042,  407, 1158,
1554, 1572,  845, 1580, 1575, 1583, 1632, 1670, 1671, 1574, 1581, 1585, 1576,
1584, 1582, 1586, 1494, 1533, 1589, 1590, 1537, 1593, 1592, 1594, 1599, 1596,
1597, 1598, 1595, 2290, 1299, 1428, 1317, 1379, 1605, 1606, 1835, 2024, 1255,
 745, 1068, 1613, 1612, 1123, 1615,  789, 1618, 1617, 1620, 1619,  904,  779,
2109, 1625, 1624, 1694,  986, 1182, 1630, 1629, 1631, 1577,  756, 1674, 1636,
1635, 1740, 1228, 1842, 1156, 1641, 2177, 1118, 1644, 2254, 2199,  964,  963,
2206, 1127, 2217, 2255, 1876, 2112, 1832, 2178, 1275, 2197, 2237, 2089, 2118,
 894,  842,  392, 1266, 1758, 1757, 1669, 1668, 1578, 1579, 1238, 1244, 1634,
 629, 1398, 1786, 1785,  971, 1742, 2076, 1803, 2041,  973,  686,  676,  711,
2009, 1418, 1821, 1692, 1691, 1825, 1626,  987,  769,  778, 2107,  501, 1435,
1190,  790,  776, 1469,  680, 1775, 2030, 1802,  550, 1426,  831, 1030,  858,
1917, 1877, 1925, 1918, 2210, 2215,  918, 1766, 1722, 2212, 1896,  514, 2092,
 893, 1990, 1989,  861,  683, 1415, 1931, 2003, 1189, 1200, 2147, 2043,  786,
1637,  837, 1680, 2004, 2047,  502, 2146, 1748, 1747, 1553, 1556, 1878, 2051,
1967, 1961,  487,  549, 1667, 1666, 2029, 2005, 2006,  946, 1824, 2192, 2153,
1721, 2094, 2193, 1234, 1443, 1800, 1883, 1053, 1080, 1706,  970,  907, 1806,
1780, 1779,  991, 1783, 1782, 1403, 1678, 1677,  988,  953,  611,  610,  630,
 631,  940, 1795, 1794, 1797, 1796,  891, 2100, 1771, 1881, 1708, 1682, 1805,
1804, 1778, 2086, 1828,  652, 2082, 1174, 1449,  643, 1422, 2130, 2140,  982,
1137, 1253,  521, 1690, 2136, 2125, 1763, 1693, 2104, 1223, 1808,  500,  677,
1862, 1655, 2135, 1019, 1607, 2035,  919, 2096, 2095, 1564, 1560, 1639, 2163,
 449,  559, 1872, 2108, 1412, 1271,  892, 1861, 2166, 2012, 2032, 2230, 2229,
2223,  967, 1040, 2174, 1851, 1831, 2158, 2274, 2270, 1972, 2208, 1962, 1401,
1871, 1870, 1846, 2057, 1874, 2126, 1653, 1715, 1751, 1078, 1274, 1801, 1885,
1772, 1466, 1882, 1555, 1273, 2099, 2088, 1890, 2113,  933,  655, 1894, 2093,
1724, 1231,  665, 1900, 1899,  832, 2295, 2293, 1226, 1906, 1905, 1908, 1907,
2258, 2218, 2182, 2203, 1942, 1973, 2226, 2181, 1714, 1717,  939, 1064, 2205,
2204, 1928, 1991, 1716, 2246, 1937, 1923, 1995, 2154, 1733,  712,  476, 1992,
1936, 1935, 1927, 2173, 2267, 1974, 1212, 1913, 1944, 1943, 1945, 1946, 1949,
1957, 1947, 1239, 2028, 2038, 2165, 1065, 1956, 1955, 1948, 1958,  485,  486,
1754, 1868, 2164, 1965, 1964, 1966, 1753, 2172, 2216, 2227, 1979, 1866, 1914,
1940, 2220, 2279, 2288, 2245, 1971, 2271, 2221, 1215, 1173, 2284, 1998, 2250,
2188, 2183, 1729, 1728, 1924, 1934, 2272, 1132, 1929, 1997, 1996, 1985, 1155,
2266, 1172, 2169, 1734, 1743, 1760, 1761, 1261, 1260, 1688, 2189,  901, 1853,
2058,  992, 2127, 1252,  938, 1429,  499, 2190,  959, 2023, 2022, 1608, 1407,
 489,  490, 1951, 1759, 1707, 2117, 1854, 2103,  691, 1836, 1225,  634, 1952,
2042, 1067, 1683, 2039, 1738, 2050,  945,  684, 1744, 2087, 2065, 2044, 1752,
 592, 2060, 1208, 2083,  787, 1873, 2013, 1269, 2053, 1454,  788, 1439, 2124,
2049,  685, 2137, 2069, 2068, 2071, 2070, 2159, 2074, 2073,  519, 1681, 1408,
2131, 1039,  667,  518, 1810, 2055, 1417,  710, 1807, 2048, 1889, 1660, 2091,
2090, 1726, 1895, 1767, 1839, 1838, 2098, 2097, 1888, 1799, 2102, 2101, 2033,
1826, 2106, 2105, 1698, 1847, 1623, 1268, 2180, 1654, 1891, 2138, 2116, 2115,
2031, 1661, 2175, 2121, 2120, 2191,  653, 2064, 1823, 1875, 2015, 2128,  688,
1815, 2078, 1414, 2133,  668, 1833, 1822, 2067, 2114, 2141, 1816, 2139, 2143,
2142, 2144,  941, 1746, 1737,  956, 2150, 2149, 2152, 2151, 1765, 1930, 2155,
2156, 2157, 1863, 2072,  942, 1259, 1134, 1843, 1963, 1953, 1852, 2168, 2167,
2002, 2171, 2170, 1968, 1938, 1860, 2119, 2176, 1642, 1656,  713, 2111, 1916,
1911, 1988, 2214, 1131, 1187, 2209, 1987, 2010, 2020, 2122, 1764, 1768, 2194,
2195, 2196, 1658, 2289, 1646, 1186, 2276, 2202, 1912, 1922, 1921, 1649, 2207,
1867, 2187, 1718, 2211, 1723, 1133, 2184, 1719, 1969, 1651, 1910, 1201, 1975,
1981, 2231, 1857, 2228, 1438, 1915, 1970, 2224, 1856, 1855, 2222, 2261, 2298,
2234, 2280, 2256, 1659, 2281, 2262, 2240, 1188, 1455, 2251, 2248, 1978, 1926,
1150, 2244, 1148, 1986, 2243, 1152, 2285, 1645, 1652, 2236, 2263, 1909, 2275,
2287, 2232, 2239, 2257, 2264, 2299, 2000, 1939, 2283, 2277, 1865, 1980, 1993,
2286, 1864, 2259, 2201, 2269, 2282, 1976, 2235, 2238, 2278, 2268, 1984, 2253,
2273, 2260, 1977, 2198, 1600, 2294, 2292, 1903, 2291, 1902, 2297, 2296, 2233,
2265, 2300],
    \[        20,    3,    2,    5,    4,    9,   32,  214,    6,   36,
 281,  284,  307,  205,   16,   15,  270,   19,   18,    1,   35,  482,  510,
 546,  589,  612,  616,  604,   98,  210,  130,    7,   65,   66,   21,   10,
 241,  461,  462,  463,  464,  465,  248,  101, 1000, 1017, 1036, 1062, 1058,
1079, 1115, 1125, 1005,  828,   91,   90,  618,  617,  290,  291,   62,   61,
 204,  183,   33,   34,   99,  100,  106,  104,  107,  108,  109,  110,  111,
 112,  113,  114,  115,  251,  385,  361,  379,  380, 1421,  880, 1121,  255,
 823,   56,   55,  717,  387,  280,   96,   95,  231,   29,   67,   68,   44,
 184,  185,   70,  189,   69,   71,   72,   73,   74,   75,   76,   77,   78,
  79,  297,  366,  365, 1539,  403, 1542, 1545,  473,  474,  425, 1566, 1038,
 414,  429,   31,  275,  276,  277,  135,  134,  159,  160,  164,  163,  162,
 166,  167,  168,  169,  170,  171,  172, 1302,  150,  149, 1520, 1517, 1519,
 806,  807, 1502, 1344, 1323,  136,  137,  161,  140,  139,  138,  181,  141,
 142,  143,  144,  145,  146,  147,  178,  175,  174, 1492, 1491,  173,  180,
 179,  165,  261,   64,  102,  103,  278,  602,  571,  105,  191,  190,  262,
 263,  264,  265,  266,  845,  226,  225, 1049, 1081, 1023, 1057,   63,   14,
 340,  419,  209,  208,   30,  244,  460,  327,    8,  603,  217,  216,  219,
 218,  756,  757,  491,  316,  317,  199,  198,  755,  872, 1092,  358,   97,
 311,  332,  235,  234,  237,  236,  252, 1730,  820,   37,  973,  250,  211,
 769,  581,  977,   43,  386,  243,   80,  238,  254,  253,   88,  257,  256,
 259,  258,  478,  182,  192,  193,  194,  195,  196,  310,  331,  374,   17,
 352,  353, 1468,  279,  131,  132,  133,  186,  274,   94,   11, 1004,  830,
  12,  368,  808,  430,  493,  492,   59,   60,  293,  292,  383, 1295, 1160,
 116,  299,  298,  881,  882,  709,  304,  303,  306,  305,   13,  384,  415,
 267,  232,  407,  350,  369,  357,  223,  224, 1282,  859,  858, 1740,  857,
1487,  737,  736, 1204,  213,  401,  402,  371,  268,  233,  437,  436,  399,
 367, 1559,  339,  338,  206,  382,  413, 1570, 1877,  427,  750,  831, 1556,
 370,  313,  404,  271,  272,  375,  356,  355,  315,  230,  360,  359,   82,
 663,  364,  363,  118,  117,  336,  285,  314,  349,  330, 1358,  411,  269,
 354,  658, 1045, 1359,   83,   84,  412,  341,  294,  308,   81,  249,   93,
1010, 1026, 1071, 1088, 1073, 1712,  760,  759,  725,  398,  397,  335,  435,
 328,  329,  120,  351, 1488, 1178,  312, 1297, 1869, 1309,  373,  381,  342,
 128,  309, 1044,  626, 1086,  207,  758,  422,  421,  424,  423,  125, 1548,
 345, 1551,  129,  287,  459, 1353,  458, 1292,  400,  334,  333,  794,  878,
 851, 1424, 1573, 1632, 1637, 1713, 1146, 1410, 1180, 1908, 1567, 1848, 1882,
1878, 1350, 1427, 1554, 1555,  433,  431,  212,   38,   39,   40,   41,   42,
 785, 1247, 1105, 1614,  730,  840,  841,  123,  124, 1561, 1898, 1685,  260,
1196,  507,  506,   22,  566,  786,  787,  788,  789,  790,  791,  792,  222,
 289,  288,  681,  534, 1266,  547, 1931, 1811, 1451, 2016, 1621, 1705,  505,
 504,  481,  480, 1458,  584,   23,  572,  542,  936,  935, 1875,  577,  578,
1210, 1459,  669, 1251, 1246,  524,  523, 2051,  533,  532,  613, 1792, 1697,
1696,  527,  526,  495,  536,  535,  538,  537,  540,  539,  701,  512, 2048,
 545,  544,   24,  497, 1095, 1618, 1619,  976,  950,  898,  896, 1020,  865,
 895,  993, 1039,  685,  562,  561, 1858,  635, 1255,  483,  568,  567,  570,
 569,  188,  511,  662,  702,  600,  607,  516,  517, 2078, 1794,  246, 1791,
1679,  509,  586,  585,  588,  587,   25, 1114, 1141, 2091,  627,  971, 1675,
 599,  598,  597,  596,  575,  947,  187,  215,   28,  623,  937,  576,  609,
 608,  611,  610,   26,  528,  659,  624,   27,   58,   57, 1197, 1021,  621,
 648,  605,  615,  628,  417,  593,  625,  675,  778,  779,  680, 1680,  892,
 564, 2134, 1833, 2194,  640,  639, 1234,  912, 1661, 1727, 1813,  965, 1622,
 622,  649,  650,  980,  966,  868, 2180,  655,  656,  708,  376,  614,  902,
 901,  573,  362, 1286, 1182, 1227, 1040,  967,  520,  910,  899, 1702, 1884,
 903,  629, 1408, 1066,  713, 1035,  632,  494, 1063, 1225, 1226,  560, 1217,
1022, 1683, 1810,  694,  693, 1800,  691,  690, 1772,  710, 1407, 1466, 2025,
2011,  541,  574,  770, 1069, 1074, 1089,  723,  657,  302,  696, 1067, 1041,
 678, 1031, 1011, 1012,   92,  722, 1281, 1610, 1432,  718,  707, 1291,  396,
 780, 1672,  761,  763,  470, 1043, 1469, 1068, 1042,  800,  325,  324, 1166,
 876,  877,  852, 1277, 1280, 1284, 1471, 1425,  836, 1304, 1230,  346, 1460,
1046, 1207, 1436,  227,  220,  221,  420,  395,  394,  728, 1103,  729, 1265,
1465, 1846,  776,  777,  245,  703, 1084,  773,  772, 1224, 1653,  767,  768,
 630,  631,  726,  782,  781, 1840, 1634,  466,  484,  485,  486,  487,  488,
 489,  490, 1293,  438, 1443, 1444, 1195, 1194, 1048,  735, 1028, 1056, 1072,
1547, 1476,  154,  155,  286, 1070, 1157, 1158, 1159, 1456, 1140,  866, 1018,
 918,  819,  818,  240, 1809,  951,   89, 1221, 1209,  827,  826,   54, 1119,
 283,  347, 1231,  834,  833, 1232,  747,  839, 1098,  837,  471,  472, 1933,
1442,  919,  197, 1457,  920,  927,  850,  849,  440,  741,  874, 1024, 1027,
1076,  322,  320,  319, 1472, 1289, 1770,  864,  863,  556,  815, 1725,  653,
 900,  871,  870,  228, 1167,  853, 1464,  739,  740,  439, 1409,   86,  300,
 301,  885, 1264,  883, 1149, 1183, 1235, 1834, 1829, 2019,  634, 2118, 2108,
 557,  554, 1820,  553,  671,  869,  661,  660,  674, 1623, 1624, 1684, 1627,
1626, 1825,  670, 1609,  642, 2079,  915,  914, 1699,  984,  817,  844,  847,
2126, 2073,  985, 2124,  926,  925,  848, 2177,  933,  932, 2196,  930,  929,
2123,  514,  513,  606, 1415, 1402, 1815, 1796,  943,  942, 1766, 2012, 1742,
 601,  949,  948,  552,  822, 2050, 2127, 2128, 1966, 1969, 2168,  958,  959,
 960, 2114, 2113, 2061, 2101,  646,  652,  668,  969,  968, 1745,  594, 1625,
 242,  975,  974,  551,  247, 2049, 1695,  651, 1189, 1174, 1175,  917,  923,
1804, 1779,  989,  988, 2015, 2130, 1797,  558, 1179,  999, 1198, 1354, 1016,
 995,   45, 1314, 1486, 1349,  282,   53, 1007, 1006, 1009, 1008,  388,  715,
 716, 1276, 1419, 1032,  998,   46,  816, 1285,  555,  620,  687,  202,  854,
1168,  389,  855,  801, 1054, 1275,  714, 1015, 1075, 1169,  679,   47, 1473,
 127,  559,  667,  712,  734,  731,  416,  377,  752, 1099,  799,  200, 1055,
1052, 1051, 1400, 1029, 1050,  802,  203,   49, 2030, 1087, 1423,   48,  682,
1399, 1403,  677,  711,  733,  704,  809,  390,  803,  392,  705, 1033,  856,
1411, 1412,   50, 1082,  201, 1080, 1108,  771, 1193,  418, 1060,  391,  706,
1129, 1219,  229, 1123, 1435,  548, 1406, 1248,  838, 1047, 1185, 1184, 1126,
 762, 1107,  468, 1161, 1104, 1083, 1131, 1714, 1124, 1113, 1112,  590,   51,
1144, 1674, 1455,  829, 1216,   87, 1420, 1093, 1111,   52, 1102, 1188, 1190,
1090, 1152, 1109, 1173, 1172, 1439, 1440, 1137, 1136, 1139, 1138,  814,  591,
1143, 1142, 1116, 1448,  446, 1437, 1201,  886, 2222, 1151, 1130, 1154, 1153,
1215, 1214,  810,  811,  812,  296, 1106, 1475, 1164, 1163, 1206,  738,  873,
1025, 1034, 1171, 1170, 1133, 1132,  982,  983, 1177, 1176,  406,  994,  448,
1844,  665,  887, 1101, 1100, 1187, 1186, 1127,  981, 1128, 1192, 1191, 1085,
 798,  797,  479,  619,  996, 1200, 1199, 1148, 1290, 1211,  326, 1467, 1165,
 753, 1454,  825,  518, 1203, 1213, 1212, 1156, 1155, 1120,  686, 1233, 1091,
1222,  824, 1220, 1647,  774,  683,  684,  666, 1750, 1749,  749,  832,  835,
1218,  641,  888, 1664, 1704, 1288, 1873, 1874, 1242, 1241, 1657, 1463, 1254,
 522,  467, 1097, 1462, 1262,  521, 1267, 1268, 1245,  565, 1269, 1270, 1271,
1272, 1273, 1274, 1250, 1445,  884,  764,  496, 1252, 1253, 1256, 1257, 1258,
1259, 1260, 1261, 1030, 1013,  742, 1401, 1612,  743,  719,  318, 1484,  744,
1019,  664, 1474, 1238,  861, 1202,  724,  434,  793, 1673,  295, 1461,  408,
1741, 1478, 1479, 1301,  148, 1482,  748, 1748, 1370, 1308, 1307,  410, 1357,
1356, 1386, 1369, 1001, 1315, 1521, 1495, 1494, 1319, 1320, 1321, 1322,  158,
1431, 1430, 1330, 1327, 1342, 1514, 1326, 1331, 1533, 1532, 1396, 1372, 1371,
1518, 1390, 1391, 1341, 1340, 1328, 1364,  157, 1346, 1345, 1509, 1500, 1003,
 454, 1352, 1351,  432,  997, 1362, 1311, 1310,  372,  378, 1361, 1360, 1355,
1515, 1343, 1538, 1504, 1506, 1505, 1313, 1306, 1336, 1335, 1389, 1382, 1397,
1381, 1606, 1543, 1534, 1493, 1376, 1374, 1384, 1383, 1589, 1312, 1394, 1395,
1373, 1338, 1339, 1393, 1392, 1387, 1388, 1334, 1375, 1607, 1064, 1053, 1278,
 939, 1065, 2056, 2043, 1096,  697,  676,  879,  447, 1077, 1078, 1428, 1429,
 938, 1426, 1608, 1422, 1014, 1122,   85, 1418, 1061,  441,  746, 1416,  455,
1413, 1414, 1325, 1324,  721, 1941, 1636, 1094,  754, 1147, 1867, 1134, 1135,
1973,  843,  795,  796, 1263, 1447, 1446, 1145, 1847, 1837,  500, 1907, 1879,
1208, 1118,  813,  846,  508,  519,  751, 1296, 1249, 1244,  875,  765,  698,
1205,  273,  732, 1613,  745,  860, 1037, 1287, 1162,  805, 1774, 1299, 1300,
1582, 1481, 1303, 1558, 1283, 1530, 1002,  323,  405, 1490, 1489,  177,  176,
1380, 1318, 1317, 1496, 1497, 1498, 1499, 1348, 1501,  156, 1536, 1366, 1368,
1367, 1605, 1602, 1347, 1513, 1524, 1512, 1510, 1329, 1363, 1591,  152, 1337,
 153,  151, 1316, 1523, 1522, 1511, 1528, 1527, 1526, 1525, 1537, 1485, 1590,
1333, 1332, 1379, 1535, 1503, 1529, 1365,  119, 1546, 1577,  121, 1378, 1553,
 122, 1540,  804,  426, 1550, 1549,  428, 1560, 1544,  456,  457,  348, 1611,
1483,  337, 1552,  475, 1563, 1562, 1565, 1564,  126,  450, 1569, 1568,  343,
1751, 1575,  442, 1581, 1572, 1584, 1541, 1870, 1871, 2156, 1574, 1480, 2155,
1576, 1585, 1586, 1587, 1588, 1385, 1531, 1516, 1596, 1597, 1594, 1595, 1592,
1593, 1598, 1903, 1902, 1601, 1508, 1603, 1604, 1507, 1377, 1398, 1417,  911,
 720, 1557, 1279, 1470,  469, 1615, 1755, 1756,  549,  550, 1709,  502,  647,
 904,  905,  972,  908,  907, 1663, 1915, 1643, 1631,  443, 1710,  784, 1644,
1434,  444, 1711, 1876, 1716, 1723, 1724, 1630, 1635, 1659, 1658, 1223, 1654,
1722, 1717, 1718, 1719,  775, 1648, 1720, 1721, 1243, 1646, 1645, 2176,  643,
2104, 1628, 1236, 1665, 1667, 1666, 1670, 1671, 1668, 1669,  727, 1294, 1117,
 595, 1816, 1789, 1790,  583,  633, 1883, 1930,  688,  906,  477, 2041, 1803,
1688, 1823, 1822, 1777, 1805, 1806, 1778,  979,  531,  530, 1706,  916, 1707,
1708,  672, 1841, 1237,  503, 1698, 1700, 1701, 1620, 1633, 1638,  393,  445,
1110, 1872, 1640, 1650, 1651, 1652, 1655, 1656, 1649, 1641, 1642,  867, 2102,
 644, 1943, 1935,  239, 2146, 2062, 1762, 1761, 1881, 1759, 1868, 1753, 1752,
 321, 1298,  946, 1760, 1888,  970, 1754, 1842, 1305, 1229, 1228, 1571, 1739,
1738, 1746, 1616, 1617, 1758, 1757, 1736, 1743, 1734, 1733, 2032, 2031, 1838,
 944, 2033, 1839, 2135,  862, 2100,  695, 1802, 1477, 2110, 2109, 1691, 1694,
 987, 2065, 2013, 2014, 2145, 2147, 1786, 1785, 1788, 1787, 1677, 1678,  582,
 529, 2058,  580, 2044,  941,  992, 1817, 2034,  692, 2179, 1773, 1687,  986,
1692, 1693, 1821, 2136,  821,  689,  499, 1826,  645, 2143,  940, 1676, 1798,
2053, 2107,  897, 1807, 1690, 1689, 2072,  909, 1812, 2092, 2086,  890, 2082,
2105, 2074,  637,  889, 2141, 1843, 1450, 1765, 1768,  783, 1703, 1747, 1836,
1181, 1849,  766, 1449,  451, 1845, 1859, 1860, 1861, 1862, 1863, 1864, 1865,
1866,  563, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1438, 1737,  409,
1578, 1579, 1715, 1239, 1240,  515, 1639,  344,  453, 1453, 2004, 1735,  452,
1681,  673, 1886, 1885, 2003, 1744, 1893, 1894, 1895, 1896, 1889, 1890, 1891,
1892, 1901,  476, 1900, 1899, 1897, 1600, 1599, 2099, 1911, 2200, 1452,  449,
1939, 1938, 1905, 1918, 1924, 1925, 1629, 1917, 1916, 1912, 1959, 1967, 1926,
1923, 1922, 1913, 1914, 1921, 1929, 2205, 1927, 1682,  498, 2029,  842, 1940,
1729, 2209, 1983, 1910, 1909, 1934, 1433, 2001, 1728, 1987, 1949, 1947, 1946,
1958, 1945, 2018, 2024, 2039, 1963, 1962, 2208, 2227, 2133, 1948, 1919, 2017,
2036, 1954, 1953, 1972, 2228,  955, 1920, 2023,  956, 2225, 1980, 1964, 1441,
1982, 2000, 1981, 1993, 1984, 1979, 1971, 1976, 1974, 1937, 1978, 1986, 1985,
1944, 1989, 1988, 2214, 2213, 1999, 1977, 1995, 1994, 2002, 1997, 1998, 1992,
1975, 1942, 1996, 1887, 1880, 2007, 2008, 2005, 2006, 2010, 2009,  700,  945,
1781, 1782,  990,  501, 1960, 1950,  891, 2068, 2067, 2022, 1968, 1951,  699,
2027, 2026, 2055, 1932, 1059, 1764, 1763, 1767, 1799, 2063, 1961, 2080, 2165,
1952, 2154, 1686, 2164, 1405, 1795, 2106, 2047, 2046,  543,  978,  952,  525,
2052, 1818, 2112, 2028, 1404, 2132, 1793, 2060, 2059,  963, 1732, 2035, 2131,
1780, 2161, 2021, 2020, 2069, 2070, 2122, 1824,  922, 1832, 2081, 2085, 2129,
 579,  913, 2037, 2075, 1830, 2084, 2083, 2076, 1828, 2087, 2088, 2195, 2090,
 592, 1827, 2111, 2094, 2095, 2096, 2097, 2149, 1904, 1771,  964, 1726, 2103,
1662, 1831, 2045, 1819,  894, 1776, 1775, 2093, 2054,  962,  961, 2115, 2116,
2117,  893, 2119, 2120, 2121, 2071,  934,  924, 2142,  921,  953,  954, 2077,
 991, 2064, 2057, 1957,  636, 1769, 1808, 2137, 2138, 2140, 2139, 1835, 2125,
1814, 2144, 1783, 1731, 1784, 2148, 2098, 2150, 2151, 2152, 2153, 2040, 1583,
1580, 2157, 2159, 2158, 2178, 2066, 2163, 2162, 2042, 2038, 2171, 2167,  957,
2169, 2174, 2166, 2172, 2173, 2170, 2175, 1660,  928, 2160, 1801,  654, 2185,
2186, 2187, 2188, 2181, 2182, 2183, 2184, 2189, 2190, 2191, 2192, 2193,  638,
2089,  931, 2197, 2198, 2199, 1906, 2244, 2202, 2241, 2246, 1928, 2207, 2206,
1955, 1936, 2210, 2212, 2211, 1991, 1990, 2215, 2216, 2217, 2218, 2219, 2221,
2220, 1150, 2224, 2223, 1970, 2242, 1956, 1965, 2229, 2230, 2231, 2232, 2233,
2234, 2235, 2236, 2237, 2238, 2239, 2240, 2203, 2226, 2253, 2201, 2245, 2204,
2247, 2248, 2249, 2250, 2251, 2252, 2243, 2254, 2255, 2256, 2260, 2258, 2259,
2257, 2283, 2297, 2263, 2265, 2264, 2279, 2267, 2268, 2269, 2270, 2271, 2272,
2273, 2274, 2275, 2276, 2281, 2298, 2266, 2280, 2277, 2282, 2261, 2284, 2285,
2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2262, 2278,
2300, 2299]>;
AssertAttribute(G, "Order", 2^18 * 3^6 * 5^3 * 7 * 11 * 23);
