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