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