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