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