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