[[0,1,23,25,29,40,41,50,57,58,60,80,81,95,96,98,100,101,126,133,134,172,173,174,205,206,207,221,232,234,236,239,253,256,258,261,302,303,321,325,415,418,419,493,495,496,498,499,500,512,515,518,519,522,525,526,527,528,546,558,646,656,738,739,740,760,761,762,764,767,773,825,848,884,886,915,982,1008,1025,1033,1034,1036,1045,1047,1048,1050,1054,1100,1122,1125,1126,1144,1147,1151,1152,1245,1254,1270,1272,1356,1357,1359,1382,1387,1391,1396,1397,1400,1401,1413,1420,1422,1423,1440,1464,1502,1517,1566,1567,1569,1584,1586,1589,1591,1592,1596,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1621,1624,1626,1627,1628,1631,1632,1634,1636,1637,1638,1639,1641,1669,1695,1710,1726,1727,1738,1740,1741,1754,1757,1758,1763,1764,1765,1791,1794,1809,1816,1842,1843,1844,1860,1861,1872,1898,1922,1923,1924,1925,1926,1934,1941,1942,1943,1945,1996,1997,1998,1999,2000,2001,2010,2011,2014,2016,2017,2018,2019,2020,2021,2041],[2,67,102,103,104,122,124,135,136,140,175,197,208,209,210,212,237,238,243,244,245,246,249,250,251,252,254,259,304,329,332,351,358,359,382,387,396,397,398,399,400,411,413,416,420,421,490,491,492,494,497,502,508,509,517,520,523,529,544,559,584,622,623,634,635,643,647,659,742,757,758,759,765,770,772,778,779,814,890,891,902,903,904,905,907,910,913,938,983,999,1002,1032,1035,1046,1051,1053,1082,1113,1138,1246,1255,1256,1257,1269,1290,1358,1360,1361,1379,1386,1389,1403,1409,1411,1415,1424,1435,1443,1455,1457,1465,1471,1503,1518,1520,1526,1532,1533,1568,1572,1573,1581,1582,1583,1587,1597,1619,1620,1622,1625,1635,1640,1708,1709,1713,1725,1729,1733,1735,1736,1743,1746,1747,1759,1760,1761,1762,1785,1789,1790,1795,1796,1797,1812,1847,1848,1849,1865,1868,1870,1928,1930,1935,1937,1938,1940,1944,2003,2008,2009,2012,2013,2015,2026,2037,2044,2047],[31,56,87,91,93,99,105,106,108,125,139,141,189,198,201,204,211,222,225,230,233,235,242,247,257,260,305,319,328,410,412,414,417,423,424,440,510,513,514,516,521,530,543,545,548,550,552,648,649,660,666,686,689,696,743,744,745,763,766,776,800,813,849,850,855,882,888,889,892,906,908,909,914,916,936,946,961,969,981,985,986,996,997,1001,1005,1010,1011,1012,1028,1031,1038,1039,1056,1101,1114,1115,1140,1191,1194,1247,1258,1287,1330,1331,1332,1333,1351,1352,1363,1378,1384,1402,1404,1410,1416,1418,1438,1445,1466,1467,1487,1505,1506,1525,1527,1531,1549,1571,1574,1608,1609,1629,1633,1668,1672,1673,1675,1676,1692,1694,1698,1699,1711,1712,1714,1731,1734,1739,1742,1748,1755,1767,1781,1782,1788,1792,1798,1808,1810,1819,1845,1846,1862,1863,1864,1873,1876,1886,1887,1895,1896,1897,1900,1902,1929,1939,1970,1971,1972,1985,1988,2005,2006,2022,2024,2027,2034,2038,2040,2042],[32,42,61,62,63,65,68,69,71,83,85,88,94,97,109,110,127,131,132,142,143,144,157,176,224,229,255,262,263,264,265,266,268,285,298,306,318,327,333,334,335,352,354,357,380,383,393,401,402,403,422,448,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,472,473,474,475,476,477,479,480,481,482,483,484,485,488,501,542,557,560,561,575,578,581,587,624,625,636,639,652,661,663,688,701,706,741,746,747,748,749,750,751,769,775,777,780,783,787,799,801,802,804,807,808,810,812,833,860,861,863,876,877,885,887,895,900,918,919,935,940,943,944,962,974,975,987,995,1007,1009,1015,1024,1029,1037,1040,1049,1052,1059,1060,1071,1072,1083,1084,1086,1102,1108,1130,1150,1193,1222,1226,1227,1233,1248,1291,1292,1318,1323,1326,1327,1344,1345,1346,1349,1350,1385,1395,1398,1399,1406,1412,1417,1421,1434,1437,1439,1456,1477,1479,1490,1491,1504,1528,1536,1550,1559,1570,1575,1576,1595,1610,1611,1614,1615,1623,1660,1670,1671,1674,1677,1678,1691,1697,1718,1724,1737,1751,1766,1779,1780,1783,1799,1800,1814,1820,1834,1850,1852,1854,1858,1859,1871,1874,1875,1879,1889,1894,1903,1904,1916,1921,1927,1932,1936,1946,1947,2002,2023,2029,2030],[3,8,9,64,66,82,84,86,92,107,123,137,146,158,161,162,240,241,248,267,271,283,289,292,295,299,307,317,330,337,338,345,355,361,365,404,447,469,470,478,487,489,531,533,547,556,576,583,588,589,590,592,593,594,595,605,606,615,616,621,626,637,644,662,687,699,752,771,781,782,784,826,827,828,829,834,851,865,875,894,897,911,932,939,941,949,950,952,960,964,970,976,977,978,979,984,989,990,991,992,1000,1003,1004,1006,1014,1030,1041,1042,1055,1057,1058,1061,1073,1085,1103,1116,1118,1119,1146,1190,1195,1198,1217,1224,1229,1231,1250,1259,1301,1325,1329,1334,1343,1347,1348,1353,1355,1388,1405,1425,1426,1428,1492,1509,1511,1522,1523,1524,1529,1530,1534,1585,1612,1613,1616,1630,1642,1657,1662,1666,1689,1696,1703,1705,1730,1744,1745,1752,1753,1768,1770,1771,1784,1802,1806,1807,1815,1818,1822,1826,1832,1833,1836,1837,1838,1840,1841,1857,1869,1877,1881,1885,1890,1892,1899,1901,1914,1919,1948,1959,1961,1973,1983,1994,2004,2025,2032,2035,2043],[4,5,6,12,16,21,22,27,28,30,33,34,59,70,73,75,89,90,111,114,116,121,129,130,138,145,163,165,168,178,194,199,202,213,214,223,231,272,274,284,290,291,294,300,309,314,324,331,346,350,360,362,363,379,381,384,388,391,392,425,426,427,428,434,441,452,453,553,554,562,574,577,579,585,596,611,612,614,617,619,620,628,632,638,641,642,654,657,664,665,722,725,733,736,753,774,788,795,796,798,803,811,815,830,836,842,844,847,858,866,874,880,883,917,929,955,968,971,972,998,1020,1043,1104,1143,1192,1199,1230,1232,1238,1249,1251,1279,1285,1293,1294,1295,1311,1312,1313,1314,1316,1336,1337,1354,1362,1366,1376,1392,1407,1414,1419,1427,1429,1431,1432,1433,1441,1442,1447,1458,1468,1475,1501,1507,1508,1510,1512,1513,1514,1519,1521,1542,1544,1545,1558,1588,1594,1644,1646,1652,1661,1663,1665,1680,1681,1682,1690,1700,1701,1702,1706,1716,1723,1749,1756,1769,1774,1775,1786,1817,1821,1824,1827,1830,1831,1835,1839,1866,1878,1880,1882,1888,1893,1920,1955,1962,1965,1968,1974,1975,1990,1995,2031,2033,2036,2045,2046],[13,20,24,26,35,36,37,53,72,76,112,113,117,119,120,147,149,150,151,159,160,166,167,171,177,179,180,182,183,190,191,193,203,215,216,273,275,276,277,287,293,308,310,312,326,336,364,368,372,373,374,377,378,386,389,394,438,445,449,450,534,535,580,591,609,618,627,629,633,640,645,650,651,667,668,669,679,683,685,702,735,768,785,786,792,805,816,835,846,859,862,872,879,881,893,901,912,920,928,942,945,948,951,953,954,958,963,965,966,967,973,988,993,994,1019,1064,1105,1162,1163,1165,1167,1183,1197,1201,1211,1219,1252,1274,1296,1297,1298,1299,1300,1308,1310,1320,1321,1322,1324,1328,1338,1375,1377,1393,1408,1436,1446,1448,1449,1486,1515,1516,1535,1537,1538,1547,1563,1564,1580,1590,1593,1617,1618,1643,1645,1647,1655,1658,1683,1684,1688,1707,1715,1717,1722,1728,1750,1772,1776,1777,1787,1793,1801,1813,1823,1828,1829,1851,1853,1856,1867,1883,1884,1891,1908,1909,1931,1964,1967,1969,1976,1979,1986,1987,1991,1992,1993,2007,2028,2039],[7,39,49,52,74,79,118,128,148,152,154,169,170,192,195,218,269,270,279,280,297,320,323,340,347,348,349,353,366,369,405,406,409,429,446,451,532,536,537,539,540,541,551,555,563,564,565,571,573,597,608,610,613,631,653,670,671,680,690,698,704,705,754,791,806,817,818,820,822,839,853,854,856,857,864,868,878,922,926,937,947,957,1013,1022,1026,1062,1063,1074,1076,1078,1110,1117,1120,1164,1168,1178,1179,1181,1182,1185,1196,1200,1202,1214,1216,1220,1234,1260,1261,1262,1282,1304,1315,1319,1339,1340,1364,1368,1369,1381,1383,1394,1451,1454,1459,1460,1462,1469,1551,1553,1554,1555,1561,1565,1577,1578,1649,1685,1693,1719,1773,1778,1803,1805,1825,1905,1906,1910,1911,1912,1913,1915,1950,1951,1954,1957,1963,1977,1980,1984,1989],[11,17,19,38,45,48,51,77,78,115,153,155,196,200,217,219,226,278,288,296,311,313,315,316,322,339,341,367,370,376,407,442,471,549,569,582,586,598,599,600,601,603,658,691,692,693,695,703,711,714,724,789,790,797,837,843,867,869,896,898,921,930,931,933,934,956,980,1021,1065,1066,1067,1068,1070,1075,1077,1079,1080,1081,1087,1089,1107,1109,1111,1112,1123,1131,1141,1149,1153,1171,1172,1177,1186,1188,1203,1204,1206,1208,1212,1213,1218,1223,1225,1244,1253,1335,1342,1365,1367,1370,1380,1430,1444,1450,1452,1463,1472,1483,1539,1557,1579,1648,1651,1654,1664,1679,1686,1720,1804,1811,1907,1933,1952,1953,1958,1960,1966,1978,1982],[10,14,15,18,43,44,47,164,181,184,185,186,187,188,227,281,286,301,371,375,385,408,430,433,486,503,505,506,538,566,567,570,572,602,607,630,655,678,694,700,734,755,809,819,823,831,832,840,871,873,899,923,924,925,927,959,1016,1069,1088,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1106,1121,1133,1134,1135,1137,1145,1155,1157,1159,1160,1173,1175,1180,1184,1189,1221,1228,1302,1306,1317,1341,1372,1373,1390,1461,1470,1473,1495,1540,1543,1556,1560,1562,1650,1656,1687,1704,1855,1917,1918,1949,1981],[54,55,156,228,282,343,344,356,395,431,432,437,568,604,697,707,709,712,756,794,821,824,838,845,852,870,1017,1044,1139,1156,1158,1161,1166,1169,1170,1205,1215,1243,1284,1288,1303,1305,1371,1374,1453,1541,1546,1552,1653,1732,1956],[46,342,390,435,708,710,713,723,726,727,730,731,737,793,841,1018,1023,1027,1127,1128,1129,1174,1176,1207,1209,1210,1235,1236,1283,1289,1309,1478,1659,1667],[220,436,439,443,504,672,715,721,728,729,1124,1136,1142,1187,1237,1239,1241,1266,1271,1273,1277,1280,1307,1548,1721],[444,524,674,675,676,681,682,684,716,717,718,719,720,732,1264,1267,1268,1275,1278],[511,673,677,1132,1148,1154,1242,1265,1476],[507,1240,1276,1281,1286,1474],[1480,1481,1485,1488],[1489,1494,1496,1497,1499,1500],[1263,1484,1493],[1498],[1482]]