[{"0":0,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"14":15,"15":16,"21":23,"22":24,"26":30,"29":33,"35":40,"38":46,"41":49,"42":50,"44":53,"45":54,"50":61,"51":62,"53":64,"57":70,"58":71,"59":72,"60":73,"61":74,"63":77,"64":78,"65":82,"66":83,"68":86,"70":88,"71":89,"74":92,"76":94,"78":96,"80":98,"82":101,"83":102,"85":104,"86":105,"87":106,"88":107,"89":108,"92":113,"93":114,"99":126,"101":128,"102":129,"106":136,"107":137,"109":139,"111":141,"112":143,"113":144,"115":146,"116":147,"117":148,"120":151,"122":154,"124":157,"125":159,"126":162,"127":163,"128":164,"129":165,"130":166,"131":167,"133":170,"134":171,"135":172,"138":175,"139":177,"141":180,"142":181,"144":185,"146":188,"148":190,"150":193,"152":195,"153":197,"154":199,"155":200,"158":204,"159":205,"165":213,"166":215,"168":220,"169":221,"171":224,"172":225,"173":512,"174":513,"177":516,"178":518,"179":523,"181":525,"182":526,"183":527,"185":531,"186":532,"187":534,"193":540,"194":541,"195":542,"196":543,"198":545,"199":546,"202":550,"203":551,"204":552,"205":553,"209":557,"210":558,"212":562,"213":563,"215":565,"218":569,"222":574,"223":575,"227":580,"228":581,"229":582,"230":583,"233":586,"235":589,"236":590,"237":593,"238":594,"242":599,"243":600,"244":601,"255":612,"258":618,"261":621,"262":623,"266":628,"267":629,"271":635,"272":636,"276":641,"278":643,"279":646,"282":649,"283":650,"285":652,"286":654,"287":656,"288":657,"289":659,"291":662,"293":664,"294":665,"297":668,"299":671,"300":672,"302":677,"303":679,"304":680,"305":683,"306":684,"307":685,"310":688,"312":693,"313":694,"316":697,"317":698,"318":699,"319":700,"321":702,"322":703,"323":704,"324":706,"325":707,"327":710,"328":711,"330":713,"331":714,"332":716,"335":719,"338":722,"339":723,"340":724,"341":726,"342":729,"344":731,"347":735,"348":736,"350":1039,"352":1043,"353":1044,"355":1076,"356":1079,"357":1081,"358":1086,"362":1102,"363":1114,"365":1143,"366":1165,"367":1180,"368":1184,"371":1208,"372":1227,"373":1234,"374":1239,"375":1240,"377":1271,"378":1290,"379":1293,"380":1297,"382":1307,"383":1315,"384":1316,"385":1343,"386":1344,"387":1345,"389":1370,"390":1376,"392":1385,"393":1395,"394":1397,"395":1409,"396":1412,"397":1417,"398":1429,"399":1437,"402":1453,"403":1454,"404":1460,"405":1462,"406":1466,"407":1478,"410":1487,"411":1498,"412":1503,"414":1510,"416":1513,"417":1520,"418":1527,"419":1529,"420":1530,"422":1574,"423":1578,"424":1584,"425":1589,"426":1592,"427":1599,"428":1619,"429":1622,"430":1625,"431":1628,"433":1648,"435":1653,"436":1656,"437":1665,"440":1674,"441":1680,"443":1712,"444":1726,"445":1734,"446":1737,"447":1740,"448":1743,"449":1745,"450":1756,"452":1758,"453":1760,"454":1765,"455":1793,"457":1801,"458":1802,"459":1812,"462":1835,"464":1859,"465":1876,"466":1879,"467":1881,"468":1890,"469":1895,"471":1923,"472":1928,"476":1947,"477":1950,"478":1956,"481":1961,"482":1973,"483":1988,"484":1990,"485":2000,"487":2009,"488":2012,"491":2040},{"0":2,"1":19,"2":25,"4":37,"5":41,"6":42,"7":45,"8":55,"9":57,"11":69,"12":75,"16":85,"17":99,"18":109,"19":110,"20":118,"22":122,"23":125,"25":133,"26":135,"27":142,"28":155,"29":158,"30":160,"31":161,"33":176,"35":182,"37":187,"39":196,"40":214,"41":216,"44":226,"45":228,"46":230,"47":231,"48":232,"49":233,"50":235,"52":238,"53":239,"54":240,"55":241,"56":242,"59":246,"60":247,"61":248,"62":250,"63":253,"64":254,"66":256,"67":257,"68":258,"71":265,"72":267,"77":274,"79":276,"80":278,"84":286,"86":289,"87":290,"89":292,"90":293,"91":294,"93":300,"96":306,"99":312,"100":313,"104":322,"105":323,"106":324,"107":326,"108":327,"109":329,"110":330,"112":332,"114":336,"116":338,"118":340,"119":341,"120":342,"122":344,"123":346,"124":347,"125":348,"126":350,"129":353,"130":356,"131":358,"132":359,"133":360,"136":364,"137":365,"142":373,"144":377,"148":381,"149":382,"152":385,"155":389,"158":392,"159":395,"160":396,"161":404,"162":406,"163":407,"164":409,"166":411,"167":412,"168":414,"172":420,"175":424,"176":431,"177":432,"179":435,"182":440,"183":441,"185":443,"187":446,"188":449,"190":452,"194":460,"195":462,"197":465,"198":466,"199":467,"200":470,"203":473,"204":474,"206":477,"208":479,"210":484,"211":488,"214":493,"215":494,"216":495,"217":496,"218":500,"220":503,"221":504,"222":506,"223":507,"225":509,"226":510,"227":511,"228":517,"229":520,"230":522,"231":528,"232":530,"233":533,"234":548,"235":559,"236":561,"237":567,"239":578,"241":595,"242":614,"243":617,"244":622,"245":627,"246":630,"247":640,"248":645,"249":653,"250":655,"252":660,"254":674,"256":676,"257":678,"258":681,"260":689,"261":691,"263":709,"264":715,"267":734,"268":737,"269":740,"270":741,"272":745,"273":746,"274":747,"275":748,"276":749,"277":750,"279":752,"280":753,"282":756,"284":758,"285":760,"286":762,"289":767,"290":768,"291":769,"293":772,"296":784,"297":785,"298":786,"301":792,"303":795,"304":796,"305":797,"308":802,"309":805,"310":806,"315":812,"316":813,"317":815,"321":822,"323":824,"326":832,"328":834,"330":840,"331":842,"332":843,"333":846,"336":850,"337":851,"338":852,"341":856,"342":857,"343":858,"344":859,"345":860,"346":862,"347":864,"349":867,"350":868,"354":873,"355":874,"356":875,"357":876,"359":879,"360":880,"364":890,"366":892,"369":896,"371":900,"374":909,"378":914,"381":919,"382":920,"383":921,"384":922,"390":936,"394":945,"396":947,"397":948,"399":952,"400":954,"401":955,"403":960,"408":965,"411":968,"412":970,"414":974,"417":977,"418":978,"419":979,"421":981,"423":985,"425":989,"426":991,"427":992,"428":994,"430":1001,"431":1002,"433":1005,"436":1010,"437":1011,"440":1016,"441":1017,"442":1018,"443":1019,"444":1020,"445":1021,"448":1042,"450":1056,"451":1058,"452":1070,"454":1105,"455":1107,"456":1108,"457":1112,"458":1127,"461":1147,"463":1161,"464":1164,"465":1171,"467":1178,"468":1179,"471":1205,"472":1214,"473":1221,"474":1245,"475":1264,"476":1284,"477":1289,"479":1300,"480":1308,"481":1309,"482":1331,"485":1348,"486":1351,"487":1361,"488":1362,"489":1383,"491":1389,"492":1390,"493":1408,"494":1421,"496":1457,"497":1463,"500":1497,"501":1507,"502":1518,"504":1535,"508":1561,"510":1590,"511":1593,"512":1598,"514":1608,"515":1610,"516":1611,"519":1662,"520":1682,"521":1683,"525":1695,"528":1701,"530":1707,"531":1708,"533":1718,"535":1730,"536":1738,"537":1748,"538":1752,"539":1763,"541":1778,"543":1782,"544":1785,"545":1789,"546":1799,"547":1805,"549":1820,"550":1857,"553":1880,"554":1882,"557":1934,"560":1966,"562":1975,"564":2023,"566":2044,"567":2047},{"0":52,"1":116,"3":153,"4":198,"5":201,"6":206,"7":208,"8":223,"9":229,"11":243,"12":249,"13":252,"14":260,"24":287,"25":297,"30":311,"33":318,"34":320,"35":321,"36":325,"37":328,"38":333,"39":345,"40":349,"43":357,"44":362,"45":367,"53":398,"56":402,"57":405,"60":417,"61":421,"63":426,"69":436,"70":439,"71":444,"72":447,"74":451,"75":454,"77":458,"79":461,"80":463,"81":468,"83":476,"85":482,"86":485,"88":490,"89":492,"92":499,"93":501,"94":505,"95":519,"96":521,"97":592,"98":632,"99":644,"100":692,"101":727,"102":738,"103":739,"104":744,"105":755,"106":761,"107":765,"108":770,"110":776,"118":789,"122":798,"125":804,"126":809,"134":831,"139":845,"140":847,"142":861,"143":866,"144":878,"145":881,"148":887,"160":923,"165":932,"171":944,"173":953,"174":956,"175":969,"177":973,"178":982,"179":983,"180":987,"181":988,"182":990,"183":993,"184":995,"185":997,"187":999,"188":1000,"189":1009,"191":1027,"194":1068,"195":1071,"196":1083,"197":1094,"199":1109,"201":1126,"202":1132,"203":1137,"204":1139,"210":1197,"212":1206,"214":1218,"215":1219,"216":1225,"218":1238,"219":1242,"220":1259,"221":1262,"222":1279,"225":1305,"226":1311,"231":1326,"232":1330,"233":1350,"234":1353,"235":1354,"237":1394,"239":1424,"240":1426,"241":1438,"243":1456,"244":1459,"246":1476,"248":1493,"249":1516,"250":1523,"253":1562,"254":1566,"255":1587,"256":1588,"257":1595,"259":1614,"260":1617,"261":1631,"262":1635,"267":1676,"268":1684,"271":1722,"273":1732,"274":1733,"275":1744,"276":1746,"277":1762,"278":1783,"279":1787,"280":1803,"281":1810,"282":1814,"283":1843,"285":1861,"286":1878,"287":1885,"288":1886,"289":1892,"291":1916,"293":1927,"294":1929,"295":1940,"297":1991,"298":1992,"300":2003,"301":2019,"303":2034},{"0":227,"1":237,"2":251,"3":273,"5":305,"6":335,"9":481,"10":486,"11":588,"12":615,"13":743,"14":759,"17":836,"18":837,"19":863,"20":872,"21":898,"22":907,"24":931,"25":951,"27":959,"29":1008,"30":1014,"33":1037,"34":1053,"35":1061,"36":1074,"37":1075,"38":1084,"39":1085,"40":1090,"41":1093,"42":1103,"45":1153,"46":1170,"47":1176,"48":1190,"49":1212,"50":1223,"51":1233,"52":1237,"53":1244,"54":1251,"55":1257,"58":1269,"60":1282,"61":1285,"62":1291,"63":1296,"64":1301,"65":1336,"67":1372,"69":1381,"70":1391,"71":1398,"72":1401,"74":1430,"75":1432,"78":1504,"79":1521,"80":1536,"81":1541,"82":1542,"84":1553,"85":1658,"86":1667,"87":1710,"90":1747,"91":1749,"92":1753,"94":1767,"96":1775,"97":1776,"98":1784,"99":1791,"100":1797,"104":1832,"106":1864,"107":1866,"110":1903,"111":1921,"114":1943,"115":1971,"116":1983,"117":1987,"118":1993,"119":2002,"120":2027,"121":2039,"122":2043},{"0":259,"2":298,"5":1025,"6":1052,"7":1060,"8":1063,"9":1110,"10":1119,"13":1152,"14":1157,"15":1189,"16":1216,"17":1231,"19":1261,"20":1275,"21":1302,"22":1303,"23":1312,"25":1329,"26":1340,"29":1371,"31":1415,"32":1420,"33":1433,"34":1436,"37":1484,"38":1560,"39":1570,"40":1576,"41":1602,"42":1604,"43":1620,"45":1638,"46":1646,"47":1651,"48":1660,"50":1678,"51":1691,"52":1723,"53":1736,"56":1751,"57":1759,"58":1764,"59":1771,"60":1808,"61":1831,"63":1852,"65":1868,"66":1870,"67":1893,"68":1906,"69":1908,"70":1909,"72":1967,"73":1974,"74":1978,"75":1979,"76":1980,"77":1995,"78":2046},{"0":1026,"1":1035,"2":1036,"4":1057,"5":1059,"6":1069,"7":1080,"10":1183,"11":1207,"13":1243,"14":1277,"16":1324,"17":1360,"18":1368,"19":1400,"20":1404,"22":1419,"25":1502,"26":1512,"27":1524,"28":1526,"29":1537,"30":1547,"31":1550,"32":1554,"33":1572,"35":1612,"36":1632,"37":1643,"39":1677,"40":1735,"41":1769,"42":1796,"43":1804,"44":1811,"45":1819,"48":1839,"49":1860,"51":1894,"52":1896,"55":1905,"57":1912,"58":1917,"59":1918,"60":1942,"61":1982,"62":2001,"63":2007,"65":2030,"67":2037},{"0":1064,"1":1073,"4":1138,"5":1172,"6":1232,"9":1274,"10":1299,"11":1346,"12":1349,"14":1369,"15":1403,"17":1450,"18":1458,"19":1467,"21":1489,"22":1491,"23":1495,"24":1501,"25":1540,"26":1543,"27":1559,"28":1563,"29":1577,"30":1583,"31":1586,"33":1609,"35":1639,"36":1641,"38":1663,"39":1669,"40":1713,"42":1754,"43":1768,"44":1792,"45":1841,"46":1844,"47":1851,"48":1855,"49":1865,"50":1877,"51":1986,"52":1989,"53":2011,"55":2038,"56":2045},{"0":1029,"1":1051,"3":1082,"4":1104,"5":1111,"6":1113,"7":1125,"9":1162,"10":1168,"11":1181,"13":1188,"14":1255,"18":1325,"19":1327,"20":1375,"21":1393,"22":1407,"23":1422,"24":1423,"25":1434,"26":1440,"28":1447,"30":1469,"33":1567,"34":1581,"35":1585,"36":1630,"37":1634,"38":1642,"39":1647,"40":1699,"41":1700,"42":1786,"43":1795,"44":1825,"45":1849,"46":1869,"48":1884,"49":1926,"50":1931,"52":1951,"53":1965,"54":1970,"55":1984,"56":2017,"57":2018,"58":2025},{"0":1030,"2":1065,"3":1136,"4":1144,"5":1154,"7":1169,"8":1191,"13":1304,"14":1306,"15":1319,"16":1332,"17":1366,"19":1378,"20":1388,"21":1399,"22":1410,"24":1488,"25":1508,"26":1534,"27":1539,"28":1551,"29":1552,"30":1555,"31":1565,"32":1594,"33":1621,"34":1692,"35":1711,"37":1761,"38":1773,"39":1779,"40":1780,"41":1800,"42":1830,"43":1848,"44":1856,"45":1867,"46":1888,"47":1913,"48":1924,"49":1955,"50":1997,"51":2004},{"0":1087,"1":1088,"2":1133,"4":1166,"5":1174,"7":1202,"9":1292,"10":1317,"12":1355,"13":1356,"15":1374,"16":1387,"17":1479,"18":1480,"19":1499,"22":1714,"23":1719,"24":1790,"25":1823,"26":1904,"27":1935,"30":1976,"32":2028,"33":2042},{"2":1120,"5":1249,"7":1310,"8":1334,"10":1445,"12":1477,"13":1591,"14":1603,"15":1607,"16":1706,"18":1806,"20":1847,"21":2014,"22":2029},{"0":1067,"1":1072,"2":1092,"3":1185,"4":1446,"5":1482,"9":1615,"11":1834,"12":1936,"13":1937,"14":1941},{"6":1224,"9":1528,"12":1702,"14":1826,"17":1898,"18":1952},{"2":1213},{"2":1241,"6":1473,"18":2036},{"7":1455,"10":1657},[],[],[],[],[],[],[],[]]