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