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