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