[{"0":0,"2":3,"6":8,"8":11,"11":14,"12":16,"13":17,"14":18,"19":24,"20":25,"21":26,"24":29,"25":30,"26":31,"27":32,"29":34,"30":35,"32":39,"38":46,"40":49,"41":50,"43":53,"46":58,"47":59,"48":60,"55":70,"62":80,"64":85,"66":87,"67":89,"68":90,"69":92,"70":93,"71":95,"72":97,"74":99,"75":101,"77":104,"79":106,"80":107,"85":112,"86":113,"87":114,"88":117,"89":118,"90":119,"91":120,"94":124,"95":125,"97":127,"99":129,"103":136,"104":137,"107":141,"108":142,"109":143,"110":144,"114":150,"115":151,"116":152,"117":153,"118":154,"119":155,"120":157,"122":161,"125":164,"129":168,"133":173,"135":178,"138":183,"142":188,"143":191,"144":192,"146":195,"147":196,"148":197,"149":201,"151":203,"152":205,"153":207,"154":210,"155":211,"157":213,"160":216,"162":221,"163":222,"167":227,"168":229,"169":230,"171":233,"172":234,"187":253,"188":254,"190":257,"191":258,"193":261,"196":264,"197":265,"198":266,"199":268,"200":269,"201":270,"202":271,"205":514,"206":516,"207":517,"210":520,"211":521,"212":522,"214":525,"216":527,"220":531,"222":534,"223":537,"225":539,"226":541,"228":547,"231":550,"234":554,"235":556,"241":563,"243":566,"244":567,"247":571,"252":576,"256":580,"258":583,"259":584,"263":589,"265":591,"266":593,"268":597,"269":599,"271":601,"272":602,"274":604,"275":605,"277":607,"281":612,"282":613,"284":618,"285":622,"287":625,"290":629,"291":630,"292":631,"293":633,"298":638,"299":639,"300":641,"306":648,"307":649,"308":650,"309":653,"313":661,"314":663,"316":665,"317":666,"320":669,"321":670,"322":671,"325":676,"328":681,"331":686,"333":688,"334":689,"336":692,"339":695,"342":698,"344":700,"348":706,"354":714,"355":715,"359":719,"360":720,"363":724,"365":726,"366":728,"373":739,"375":741,"378":746,"380":749,"381":751,"382":752,"385":755,"387":757,"393":764,"394":765,"395":769,"397":772,"399":776,"400":777,"402":780,"403":781,"404":782,"405":785,"406":1024,"407":1029,"408":1030,"410":1034,"411":1036,"412":1046,"414":1086,"417":1092,"419":1106,"422":1126,"426":1153,"427":1160,"429":1164,"430":1175,"431":1177,"435":1221,"436":1226,"437":1229,"439":1252,"440":1253,"444":1296,"445":1310,"447":1314,"448":1321,"450":1332,"452":1364,"457":1392,"458":1400,"459":1413,"461":1447,"462":1448,"468":1480,"469":1488,"472":1545,"474":1554,"475":1577,"476":1583,"479":1635,"483":1656,"484":1661,"485":1666,"487":1673,"489":1710,"490":1715,"491":1729,"493":1768,"496":1779,"499":1819,"500":1820,"501":1826,"502":1842,"503":1849,"505":1851,"506":1852,"511":1881,"513":1907,"517":1935,"519":1951,"521":1966,"523":1981,"524":1982,"525":1994,"527":2003,"528":2014,"529":2021,"530":2024,"531":2029},{"0":2,"1":5,"2":10,"4":20,"8":47,"11":57,"13":64,"16":75,"17":83,"19":88,"22":102,"24":116,"25":121,"26":130,"35":177,"36":179,"38":185,"41":198,"44":204,"45":206,"47":209,"49":218,"50":219,"51":225,"52":228,"53":231,"59":260,"63":275,"71":286,"72":288,"73":289,"83":301,"84":302,"88":310,"90":312,"91":314,"92":316,"96":321,"98":323,"103":330,"104":331,"105":332,"107":335,"112":343,"113":345,"114":346,"115":347,"117":349,"119":354,"120":355,"122":357,"125":362,"126":363,"129":369,"138":380,"141":385,"146":393,"149":397,"154":403,"159":410,"161":412,"165":418,"169":422,"171":426,"174":430,"176":433,"177":435,"178":437,"184":444,"185":445,"186":446,"190":452,"191":453,"199":467,"200":473,"202":475,"203":476,"204":479,"205":480,"206":482,"208":485,"209":486,"211":490,"215":496,"218":500,"219":502,"220":503,"222":505,"223":506,"226":512,"228":523,"229":533,"232":540,"234":545,"235":546,"237":555,"239":565,"241":582,"243":595,"245":611,"246":615,"247":617,"248":620,"249":621,"250":628,"251":632,"254":652,"256":657,"257":659,"263":680,"265":684,"266":691,"267":701,"268":704,"270":712,"275":744,"276":745,"278":750,"279":758,"281":767,"285":778,"287":784,"289":787,"290":788,"291":789,"292":792,"293":793,"305":809,"306":810,"308":812,"309":814,"311":817,"312":818,"315":822,"316":823,"317":824,"325":836,"328":843,"334":853,"337":858,"341":862,"342":863,"344":865,"347":873,"350":878,"352":882,"354":886,"368":906,"370":908,"371":909,"372":910,"377":915,"378":917,"379":918,"382":921,"383":922,"387":930,"389":932,"394":937,"395":938,"396":940,"399":944,"400":945,"401":947,"403":949,"405":951,"407":954,"408":955,"409":958,"410":959,"411":960,"416":971,"417":973,"420":977,"423":980,"425":987,"426":991,"430":998,"433":1003,"434":1004,"438":1012,"439":1013,"441":1015,"444":1021,"445":1022,"446":1023,"447":1027,"448":1028,"452":1061,"453":1065,"454":1070,"456":1083,"457":1085,"459":1100,"460":1108,"467":1154,"470":1159,"473":1187,"474":1188,"475":1189,"478":1210,"480":1222,"484":1245,"485":1246,"486":1254,"488":1259,"489":1260,"492":1278,"493":1281,"495":1305,"497":1342,"498":1356,"499":1358,"502":1386,"503":1399,"508":1428,"509":1429,"510":1431,"511":1441,"517":1515,"518":1542,"519":1557,"520":1562,"521":1574,"522":1582,"523":1584,"524":1600,"526":1616,"530":1639,"533":1662,"534":1671,"535":1688,"537":1701,"539":1709,"540":1720,"544":1752,"545":1766,"547":1795,"549":1808,"551":1810,"552":1813,"557":1858,"558":1860,"559":1868,"561":1880,"563":1892,"566":1943,"567":1950,"568":1955,"571":1979,"572":2002,"579":2032,"581":2034},{"0":63,"7":190,"8":278,"9":284,"11":290,"13":303,"14":307,"15":308,"18":315,"20":325,"22":334,"24":341,"25":342,"26":344,"27":351,"28":352,"30":360,"31":361,"33":367,"39":392,"41":406,"42":407,"43":414,"44":415,"48":432,"55":460,"57":470,"59":472,"60":478,"61":481,"63":488,"64":489,"65":492,"66":494,"70":509,"71":510,"72":543,"74":592,"78":640,"81":775,"83":800,"85":803,"87":813,"91":827,"93":835,"94":837,"98":844,"100":850,"101":855,"102":856,"105":869,"106":871,"107":874,"110":880,"111":883,"112":884,"114":889,"116":905,"118":923,"119":925,"120":928,"121":939,"123":946,"125":957,"126":962,"127":964,"130":972,"133":982,"134":983,"135":984,"138":989,"139":992,"140":993,"142":999,"143":1007,"145":1017,"146":1033,"148":1042,"149":1054,"158":1117,"159":1124,"162":1171,"163":1193,"164":1195,"165":1202,"166":1207,"168":1233,"170":1242,"172":1248,"174":1258,"177":1274,"179":1283,"181":1294,"183":1325,"186":1339,"189":1354,"190":1380,"195":1432,"196":1439,"197":1445,"201":1483,"203":1489,"204":1490,"207":1521,"208":1530,"212":1561,"216":1591,"217":1592,"219":1606,"220":1638,"231":1736,"232":1740,"233":1741,"234":1745,"235":1746,"236":1758,"239":1763,"240":1776,"243":1830,"244":1834,"245":1844,"247":1862,"251":1927,"253":1947,"256":1990,"257":1991,"258":1993,"259":2000,"260":2004,"262":2020,"264":2042},{"0":287,"9":477,"10":790,"13":901,"16":965,"18":990,"19":1000,"20":1009,"22":1016,"23":1020,"24":1025,"29":1128,"32":1161,"35":1212,"36":1251,"38":1277,"39":1287,"40":1300,"42":1318,"46":1343,"49":1368,"51":1381,"52":1382,"56":1414,"57":1416,"59":1453,"60":1486,"64":1522,"65":1524,"66":1527,"67":1543,"70":1575,"73":1594,"74":1610,"76":1624,"77":1629,"80":1651,"86":1697,"88":1713,"89":1733,"92":1755,"96":1784,"97":1787,"98":1788,"99":1798,"100":1801,"102":1827,"105":1871,"106":1874,"107":1879,"108":1890,"110":1908,"113":1941,"116":1999,"120":2037},{"5":1099,"6":1119,"9":1144,"18":1243,"19":1255,"20":1297,"22":1317,"24":1370,"26":1387,"27":1389,"29":1433,"31":1443,"33":1476,"34":1496,"36":1536,"43":1648,"45":1669,"47":1682,"49":1724,"53":1753,"54":1770,"55":1778,"57":1828,"58":1829,"59":1832,"62":1877,"63":1878,"69":1919,"72":1957,"75":1997},{"2":1072,"3":1091,"4":1095,"5":1102,"6":1123,"8":1138,"13":1232,"14":1261,"15":1279,"16":1293,"23":1446,"24":1459,"26":1469,"27":1477,"31":1516,"32":1528,"36":1558,"37":1564,"42":1587,"47":1626,"48":1627,"49":1636,"50":1637,"51":1644,"52":1748,"53":1786,"54":1796,"56":1839,"58":1866,"60":1869,"63":1930,"64":1934,"66":1959,"69":1972,"72":1992,"74":2009},{"2":1097,"10":1270,"11":1272,"12":1284,"13":1288,"15":1299,"16":1304,"20":1371,"23":1411,"26":1466,"28":1479,"29":1485,"32":1523,"35":1649,"39":1744,"40":1767,"41":1769,"42":1791,"45":1845,"46":1853,"47":1900,"48":1904,"50":1920,"51":1931,"52":2047},{"1":1155,"4":1205,"6":1249,"8":1268,"12":1313,"13":1319,"14":1335,"15":1349,"17":1362,"21":1385,"22":1397,"23":1451,"25":1481,"26":1513,"27":1526,"28":1560,"30":1601,"31":1613,"32":1625,"33":1645,"36":1665,"39":1702,"42":1799,"45":1822,"46":1823,"47":1886,"48":1887,"49":1912,"50":1974},{"1":1041,"2":1044,"4":1051,"5":1076,"8":1141,"9":1167,"10":1179,"11":1186,"12":1204,"13":1218,"14":1263,"16":1355,"17":1369,"19":1401,"21":1460,"22":1464,"23":1505,"24":1517,"26":1520,"27":1537,"28":1539,"29":1546,"31":1569,"32":1572,"33":1589,"35":1630,"36":1631,"37":1699,"38":1723,"39":1727,"41":1756,"42":1772,"47":1865,"48":1961,"49":1996,"50":2005,"51":2012},{"3":1088,"5":1134,"6":1149,"7":1152,"8":1169,"9":1170,"10":1181,"11":1236,"12":1273,"13":1301,"16":1320,"19":1372,"20":1383,"22":1418,"23":1430,"25":1472,"26":1493,"29":1632,"30":1681,"31":1698,"32":1712,"33":1765,"34":1789,"37":1856,"38":1891,"41":1922,"42":1924,"43":1942,"44":1968},{"2":1067,"3":1146,"6":1224,"8":1289,"9":1329,"11":1458,"12":1492,"13":1540,"14":1551,"15":1571,"18":1668,"19":1672,"20":1676,"21":1677,"24":1732,"28":1848,"30":1872,"31":1903,"32":1905,"33":1932,"34":1949,"37":1964,"40":2010},{"0":1038,"9":1147,"10":1194,"12":1241,"16":1407,"18":1422,"20":1502,"21":1508,"22":1509,"23":1514,"28":1653,"29":1680,"31":1757,"32":1762,"33":1764,"34":1797,"38":1883,"40":1913,"43":2018},{"1":1093,"2":1116,"6":1191,"8":1244,"10":1338,"11":1341,"12":1391,"14":1497,"17":1595,"19":1747,"20":1792,"23":1854,"25":1940,"26":1944},{"2":1306,"3":1346,"4":1420,"7":1455,"13":1696,"14":1958,"15":1987,"16":1998,"17":2043},{"0":1055,"1":1094,"2":1198,"3":1303,"6":1340,"7":1408,"8":1417,"10":1533,"11":1559,"13":1642,"14":1685,"17":1916,"18":2011},{"1":1295,"2":1623,"3":1652,"4":1780,"6":1923,"7":1945,"8":1962,"9":1971,"10":1985,"11":2038},{"3":1657},{"2":1473},[],[],[]]