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