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