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