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