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