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