[{"0":0,"1":1,"2":2,"4":4,"5":5,"6":7,"7":8,"8":9,"9":11,"10":13,"11":14,"13":16,"14":17,"15":18,"16":19,"18":21,"19":22,"20":23,"21":24,"22":25,"24":27,"25":28,"27":30,"28":31,"29":32,"31":34,"34":38,"35":39,"37":41,"38":42,"39":43,"41":45,"43":48,"45":50,"47":52,"49":54,"50":55,"54":59,"55":61,"56":62,"58":64,"59":65,"60":67,"61":68,"63":70,"65":73,"66":74,"67":75,"69":78,"71":80,"72":81,"73":82,"75":84,"76":85,"77":86,"78":87,"80":89,"82":91,"83":92,"84":93,"85":94,"87":96,"89":99,"90":101,"91":105,"92":106,"93":107,"94":109,"95":110,"96":111,"97":112,"98":113,"100":115,"102":121,"103":122,"108":128,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":137,"118":141,"120":145,"121":146,"123":149,"124":150,"125":151,"126":154,"127":155,"128":156,"129":158,"130":159,"131":160,"133":162,"136":166,"138":171,"139":173,"140":174,"143":181,"145":185,"146":186,"147":187,"148":188,"149":189,"150":190,"151":191,"152":192,"153":193,"154":194,"155":195,"156":196,"157":197,"158":199,"159":201,"161":203,"162":204,"164":206,"165":208,"166":209,"167":210,"169":212,"170":214,"171":215,"172":216,"173":217,"175":219,"176":220,"177":221,"180":225,"181":226,"183":229,"184":231,"185":232,"186":233,"189":236,"190":237,"191":238,"192":239,"194":241,"198":245,"199":246,"200":247,"201":248,"202":249,"204":251,"205":252,"206":253,"207":254,"208":255,"209":256,"211":258,"212":259,"213":261,"214":262,"215":264,"216":265,"217":267,"218":268,"219":269,"220":270,"221":271,"222":274,"223":275,"225":277,"226":278,"227":280,"228":281,"229":282,"231":285,"232":286,"233":288,"234":289,"236":294,"237":295,"238":296,"239":297,"242":300,"243":303,"245":305,"246":306,"248":308,"249":309,"250":310,"251":311,"252":312,"256":318,"258":320,"260":322,"261":323,"262":325,"264":327,"265":328,"266":329,"269":332,"270":333,"271":334,"272":335,"274":337,"276":339,"277":344,"278":345,"279":346,"280":347,"282":351,"283":352,"284":353,"286":355,"287":356,"288":359,"289":360,"290":361,"291":362,"293":364,"294":365,"295":366,"296":367,"297":369,"298":371,"299":372,"300":374,"301":375,"303":378,"304":379,"305":380,"306":381,"307":382,"308":383,"309":385,"311":388,"313":390,"315":392,"317":394,"320":398,"321":399,"322":400,"323":402,"324":403,"326":406,"327":407,"328":408,"329":409,"331":415,"332":416,"333":418,"334":419,"335":420,"336":421,"337":422,"338":423,"339":425,"340":427,"341":428,"342":429,"343":430,"344":431,"345":433,"346":434,"347":436,"348":437,"349":438,"350":440,"352":443,"353":444,"354":445,"355":446,"356":447,"357":448,"358":449,"359":450,"360":451,"361":453,"362":454,"363":455,"364":458,"365":459,"366":461,"367":462,"368":464,"369":465,"370":466,"371":467,"372":468,"374":472,"375":474,"376":475,"377":476,"378":477,"379":478,"380":479,"382":481,"383":482,"384":484,"385":485,"386":486,"387":487,"388":488,"390":490,"392":493,"393":494,"394":495,"395":498,"396":499,"397":500,"398":501,"399":502,"400":503,"401":504,"402":505,"403":506,"404":507,"405":508,"406":510,"407":511,"408":512,"410":514,"411":515,"413":517,"415":519,"417":521,"418":523,"419":524,"420":525,"421":526,"423":528,"425":530,"427":532,"428":533,"429":534,"430":535,"431":536,"432":537,"433":538,"434":540,"435":543,"436":544,"437":545,"439":547,"440":548,"441":549,"442":550,"443":551,"444":553,"446":555,"447":556,"448":557,"449":558,"450":559,"451":560,"452":561,"453":562,"454":563,"455":564,"457":566,"458":567,"459":569,"460":570,"461":571,"462":573,"463":575,"464":576,"465":577,"466":579,"467":580,"468":581,"469":582,"471":584,"474":588,"475":589,"476":590,"477":591,"479":593,"480":594,"481":595,"482":596,"483":597,"484":599,"485":600,"486":601,"487":602,"488":603,"489":604,"492":609,"494":611,"495":612,"497":614,"499":616,"500":617,"501":618,"502":619,"503":620,"504":621,"505":622,"510":629,"511":630,"513":632,"514":634,"516":636,"517":637,"519":639,"520":640,"521":641,"522":642,"526":648,"527":649,"528":650,"529":651,"531":654,"533":657,"534":658,"535":660,"536":661,"537":662,"538":663,"539":665,"540":666,"541":667,"543":671,"544":673,"545":674,"546":675,"547":677,"548":678,"549":679,"550":680,"551":681,"552":683,"553":684,"554":685,"555":686,"556":687,"558":689,"559":690,"560":691,"561":693,"563":696,"564":697,"565":699,"567":701,"568":702,"569":704,"570":705,"571":707,"572":708,"574":710,"575":711,"577":713,"579":715,"580":716,"583":720,"586":723,"587":724,"589":726,"590":727,"591":728,"593":730,"594":731,"596":734,"598":739,"600":741,"601":743,"602":744,"603":745,"605":747,"606":748,"607":749,"610":752,"612":754,"613":755,"614":756,"618":761,"621":764,"622":765,"624":767,"625":768,"627":770,"628":771,"629":774,"630":776,"631":778,"632":782,"633":783,"634":784,"635":785,"637":788,"638":789,"639":790,"640":791,"643":794,"644":796,"646":798,"647":799,"648":800,"649":801,"650":802,"651":803,"652":805,"653":806,"654":807,"655":808,"657":811,"658":812,"660":814,"661":816,"662":817,"663":818,"664":819,"666":821,"667":822,"668":823,"669":824,"670":825,"671":826,"672":828,"676":832,"680":837,"683":841,"685":843,"686":845,"688":848,"689":849,"690":850,"691":852,"692":853,"693":854,"694":855,"695":856,"698":860,"700":862,"702":864,"704":866,"705":868,"709":874,"710":876,"711":880,"712":881,"714":883,"715":884,"716":887,"717":888,"718":889,"719":891,"720":892,"721":893,"722":894,"723":895,"724":896,"725":897,"726":898,"727":899,"728":900,"729":902,"731":904,"732":905,"733":906,"735":908,"736":909,"737":910,"738":911,"739":913,"740":914,"741":915,"742":917,"743":918,"744":919,"745":920,"746":922,"747":923,"748":924,"749":925,"750":926,"751":927,"752":928,"754":930,"755":931,"756":932,"757":933,"758":934,"759":935,"760":937,"761":938,"763":940,"764":941,"765":942,"766":943,"767":944,"768":947,"769":948,"770":949,"771":950,"772":951,"774":954,"775":957,"776":958,"777":959,"778":960,"779":961,"781":964,"782":966,"784":970,"785":971,"786":972,"788":975,"789":976,"790":978,"791":979,"792":980,"794":983,"795":984,"796":985,"797":986,"798":987,"799":988,"800":989,"801":990,"802":991,"803":992,"804":993,"806":995,"807":996,"808":997,"809":998,"810":999,"811":1000,"812":1001,"813":1002,"814":1003,"815":1005,"816":1006,"817":1007,"818":1008,"820":1011,"822":1013,"823":1014,"824":1015,"825":1016,"826":1019,"827":1020,"828":1021,"829":1022,"830":1026,"831":1027,"832":1034,"833":1035,"835":1043,"836":1050,"837":1052,"838":1054,"839":1056,"840":1057,"841":1062,"842":1067,"843":1070,"845":1074,"846":1078,"848":1083,"849":1089,"850":1093,"851":1094,"853":1099,"854":1101,"855":1103,"856":1104,"857":1106,"858":1108,"861":1118,"862":1123,"863":1125,"864":1133,"866":1139,"867":1144,"868":1145,"869":1148,"870":1149,"871":1150,"873":1152,"874":1156,"876":1162,"877":1165,"878":1169,"879":1173,"880":1174,"881":1180,"883":1188,"884":1189,"885":1191,"886":1193,"887":1196,"888":1198,"889":1200,"890":1203,"892":1211,"893":1214,"894":1215,"895":1222,"896":1229,"897":1231,"898":1233,"899":1234,"900":1238,"901":1239,"902":1240,"903":1241,"905":1244,"906":1245,"907":1246,"908":1248,"909":1252,"910":1254,"911":1255,"912":1257,"913":1258,"914":1262,"915":1267,"916":1271,"917":1273,"918":1274,"919":1275,"920":1280,"921":1285,"922":1287,"923":1291,"925":1295,"926":1298,"927":1302,"928":1304,"929":1308,"930":1309,"931":1310,"932":1312,"933":1313,"934":1315,"935":1316,"936":1317,"937":1319,"938":1322,"940":1326,"941":1327,"942":1331,"943":1333,"944":1335,"945":1336,"946":1338,"947":1341,"949":1350,"950":1351,"951":1354,"952":1361,"953":1362,"954":1364,"955":1365,"956":1370,"958":1378,"959":1379,"960":1381,"961":1383,"962":1390,"963":1391,"964":1392,"965":1393,"966":1394,"967":1395,"968":1398,"969":1404,"970":1405,"971":1406,"973":1409,"974":1411,"976":1416,"977":1417,"978":1418,"979":1419,"980":1420,"981":1422,"982":1424,"983":1430,"984":1432,"985":1438,"986":1447,"987":1449,"990":1468,"991":1470,"992":1471,"995":1477,"996":1480,"997":1481,"998":1485,"999":1487,"1000":1490,"1001":1491,"1002":1493,"1003":1494,"1004":1495,"1005":1497,"1006":1501,"1007":1503,"1008":1507,"1009":1510,"1010":1512,"1011":1514,"1012":1517,"1013":1518,"1014":1520,"1015":1524,"1016":1525,"1018":1532,"1019":1534,"1020":1536,"1021":1538,"1022":1545,"1023":1547,"1024":1557,"1025":1558,"1026":1561,"1027":1563,"1028":1565,"1029":1569,"1030":1574,"1031":1581,"1032":1582,"1033":1586,"1034":1589,"1035":1590,"1036":1593,"1037":1594,"1038":1596,"1039":1597,"1040":1603,"1041":1606,"1042":1611,"1043":1613,"1044":1617,"1045":1619,"1046":1620,"1047":1621,"1048":1625,"1049":1627,"1050":1628,"1051":1633,"1052":1634,"1053":1636,"1054":1639,"1055":1641,"1056":1643,"1057":1644,"1058":1645,"1059":1647,"1060":1650,"1062":1654,"1064":1660,"1065":1661,"1066":1664,"1067":1676,"1068":1681,"1069":1682,"1070":1684,"1071":1686,"1072":1689,"1073":1691,"1074":1692,"1075":1695,"1077":1703,"1078":1705,"1079":1708,"1080":1712,"1082":1722,"1083":1723,"1084":1734,"1085":1736,"1086":1737,"1087":1738,"1088":1741,"1089":1743,"1090":1744,"1091":1748,"1092":1749,"1093":1752,"1094":1753,"1095":1754,"1096":1757,"1098":1763,"1099":1764,"1100":1765,"1101":1770,"1102":1772,"1103":1773,"1105":1778,"1107":1780,"1108":1782,"1109":1785,"1110":1790,"1111":1791,"1112":1793,"1113":1795,"1115":1798,"1116":1801,"1117":1804,"1118":1807,"1119":1808,"1120":1809,"1121":1813,"1122":1817,"1123":1821,"1124":1822,"1125":1824,"1126":1826,"1127":1828,"1129":1834,"1130":1836,"1131":1841,"1133":1845,"1134":1852,"1135":1854,"1136":1856,"1137":1858,"1138":1861,"1139":1863,"1140":1864,"1141":1866,"1142":1873,"1143":1876,"1145":1881,"1146":1884,"1147":1886,"1148":1887,"1149":1893,"1150":1894,"1151":1896,"1152":1900,"1153":1902,"1154":1903,"1155":1907,"1156":1909,"1157":1916,"1158":1918,"1159":1921,"1160":1922,"1161":1925,"1162":1927,"1163":1928,"1164":1929,"1165":1930,"1166":1933,"1167":1934,"1168":1939,"1169":1943,"1170":1944,"1172":1951,"1173":1952,"1174":1953,"1175":1955,"1176":1957,"1177":1958,"1178":1961,"1179":1963,"1180":1964,"1181":1968,"1182":1969,"1183":1970,"1184":1974,"1185":1979,"1187":1984,"1188":1986,"1189":1988,"1190":1989,"1191":1995,"1192":1996,"1193":1997,"1195":1999,"1196":2001,"1197":2003,"1198":2005,"1199":2008,"1200":2011,"1201":2013,"1202":2017,"1203":2020,"1204":2022,"1205":2023,"1206":2026,"1207":2027,"1209":2030,"1210":2033,"1211":2038,"1212":2039,"1213":2040,"1215":2045,"1216":2047},{"0":6,"1":12,"2":46,"3":60,"4":66,"5":72,"6":77,"7":97,"8":100,"9":102,"10":103,"11":104,"12":108,"14":119,"15":120,"16":126,"18":138,"19":139,"20":144,"21":148,"22":163,"23":168,"24":170,"25":172,"26":175,"28":180,"30":184,"31":198,"32":200,"33":207,"34":213,"35":224,"36":228,"37":230,"39":263,"40":266,"41":273,"42":279,"43":284,"44":287,"46":292,"47":293,"48":301,"50":313,"53":341,"54":342,"56":349,"57":350,"58":357,"59":358,"60":373,"61":376,"62":384,"63":387,"64":396,"65":401,"66":404,"67":410,"68":412,"69":413,"70":414,"71":426,"72":432,"73":435,"74":439,"75":441,"76":452,"77":457,"78":460,"79":463,"80":469,"81":471,"83":492,"84":496,"85":497,"86":509,"87":542,"89":568,"90":572,"91":574,"94":598,"97":625,"98":628,"100":644,"101":653,"102":655,"103":659,"104":669,"105":670,"106":672,"108":682,"109":692,"110":694,"112":703,"113":719,"115":735,"116":738,"118":760,"119":773,"120":775,"121":777,"122":779,"123":780,"124":781,"125":787,"126":795,"127":804,"128":815,"129":827,"130":838,"131":844,"132":851,"133":857,"135":869,"136":872,"137":875,"138":877,"139":878,"140":879,"141":885,"142":886,"143":890,"144":901,"145":912,"146":916,"147":921,"148":936,"149":945,"150":946,"151":952,"152":955,"153":956,"154":963,"155":965,"156":967,"157":969,"158":973,"159":977,"160":982,"161":1004,"162":1010,"163":1023,"164":1028,"165":1031,"166":1033,"167":1036,"168":1040,"171":1049,"172":1051,"173":1053,"174":1055,"175":1058,"176":1061,"177":1063,"178":1065,"179":1066,"180":1068,"181":1073,"182":1075,"183":1079,"184":1080,"185":1084,"186":1090,"187":1097,"190":1116,"191":1117,"192":1127,"193":1130,"194":1132,"195":1137,"196":1142,"197":1143,"198":1153,"199":1155,"200":1157,"201":1159,"202":1163,"203":1164,"204":1172,"205":1175,"206":1181,"207":1182,"208":1183,"209":1187,"210":1190,"211":1197,"212":1199,"213":1201,"214":1202,"215":1204,"216":1206,"217":1207,"218":1208,"219":1209,"220":1210,"221":1217,"222":1218,"223":1219,"224":1224,"225":1225,"227":1236,"228":1237,"229":1249,"230":1250,"231":1256,"232":1259,"233":1263,"234":1265,"235":1266,"236":1268,"237":1269,"238":1272,"239":1281,"240":1284,"241":1288,"242":1289,"243":1293,"244":1297,"245":1299,"246":1303,"247":1307,"248":1314,"250":1323,"251":1325,"252":1329,"253":1337,"255":1344,"257":1346,"258":1347,"259":1352,"260":1353,"261":1357,"262":1358,"263":1359,"264":1360,"265":1368,"266":1371,"267":1376,"268":1380,"269":1386,"270":1387,"271":1389,"272":1396,"274":1402,"275":1410,"277":1425,"278":1429,"279":1431,"280":1434,"281":1435,"283":1437,"284":1439,"285":1440,"286":1444,"287":1445,"288":1446,"289":1453,"290":1459,"291":1462,"292":1464,"293":1465,"295":1473,"296":1478,"297":1479,"298":1482,"300":1486,"301":1488,"302":1502,"303":1505,"304":1508,"305":1509,"306":1515,"307":1519,"308":1521,"309":1528,"310":1529,"311":1530,"312":1533,"313":1537,"314":1540,"315":1541,"316":1546,"317":1548,"318":1550,"319":1555,"320":1556,"321":1560,"322":1572,"323":1573,"324":1575,"325":1584,"326":1587,"327":1599,"328":1600,"330":1602,"331":1604,"332":1605,"333":1608,"334":1609,"335":1614,"336":1622,"337":1624,"338":1637,"339":1638,"340":1640,"341":1642,"342":1648,"343":1658,"344":1663,"345":1665,"346":1667,"347":1668,"348":1669,"349":1670,"350":1672,"352":1679,"354":1683,"355":1685,"356":1687,"357":1697,"358":1699,"360":1706,"361":1709,"362":1711,"363":1715,"364":1719,"367":1729,"368":1732,"369":1739,"370":1740,"371":1745,"372":1747,"373":1750,"374":1756,"375":1759,"376":1760,"377":1762,"378":1767,"379":1769,"380":1771,"381":1774,"382":1776,"383":1777,"384":1781,"386":1787,"387":1794,"388":1799,"389":1810,"390":1811,"391":1812,"392":1815,"393":1816,"394":1819,"395":1830,"396":1832,"397":1833,"398":1835,"399":1838,"400":1842,"403":1847,"405":1853,"406":1855,"407":1857,"408":1859,"409":1867,"410":1869,"411":1875,"412":1880,"413":1882,"414":1885,"415":1888,"416":1889,"417":1890,"418":1895,"419":1899,"420":1908,"421":1910,"422":1911,"423":1914,"424":1917,"425":1919,"427":1923,"428":1931,"429":1935,"430":1937,"431":1942,"433":1959,"434":1960,"435":1965,"436":1967,"437":1971,"438":1972,"440":1977,"441":1978,"442":1980,"443":1981,"444":1982,"445":1985,"446":1987,"447":1991,"448":1992,"449":2004,"450":2007,"451":2009,"452":2021,"453":2025,"454":2029,"455":2032,"456":2035,"457":2037,"458":2042,"459":2046},{"1":36,"2":116,"3":142,"4":152,"5":153,"7":176,"8":272,"10":368,"11":370,"12":417,"14":456,"15":473,"16":539,"18":647,"19":664,"20":706,"22":809,"23":835,"24":847,"25":1017,"26":1018,"27":1029,"28":1032,"29":1037,"30":1047,"31":1072,"32":1076,"33":1086,"34":1087,"35":1088,"36":1092,"37":1096,"38":1098,"39":1113,"40":1114,"41":1119,"42":1120,"43":1122,"44":1128,"45":1129,"46":1140,"47":1141,"48":1146,"49":1147,"50":1166,"51":1167,"53":1171,"54":1176,"55":1177,"56":1192,"57":1194,"58":1212,"59":1213,"60":1220,"61":1226,"62":1227,"63":1228,"64":1243,"65":1247,"66":1253,"67":1261,"68":1264,"69":1270,"70":1276,"71":1277,"72":1278,"73":1282,"74":1286,"75":1294,"76":1300,"77":1301,"78":1305,"79":1318,"80":1328,"81":1330,"82":1339,"83":1342,"84":1349,"85":1355,"86":1356,"88":1367,"89":1382,"90":1384,"91":1399,"92":1400,"93":1401,"94":1403,"96":1423,"97":1426,"98":1427,"99":1433,"100":1452,"102":1466,"103":1475,"104":1484,"105":1496,"106":1500,"107":1511,"108":1523,"109":1527,"110":1542,"111":1551,"112":1552,"113":1553,"114":1554,"115":1564,"116":1567,"117":1576,"119":1585,"120":1588,"121":1592,"122":1595,"123":1598,"124":1612,"125":1615,"126":1618,"127":1626,"128":1629,"129":1649,"130":1651,"131":1652,"133":1675,"134":1677,"135":1696,"136":1701,"137":1725,"138":1726,"139":1731,"140":1742,"141":1751,"142":1755,"143":1766,"144":1784,"145":1786,"146":1788,"147":1789,"148":1792,"149":1800,"150":1814,"151":1831,"152":1837,"153":1839,"154":1840,"155":1849,"156":1850,"157":1860,"158":1865,"159":1868,"160":1871,"161":1874,"162":1879,"163":1898,"164":1904,"165":1905,"166":1912,"167":1915,"168":1926,"169":1936,"170":1941,"171":1947,"172":1948,"173":1956,"174":1990,"175":2002,"176":2006,"177":2018,"178":2019,"179":2031,"180":2041,"181":2043},{"0":167,"1":522,"2":772,"3":1024,"4":1025,"5":1030,"6":1045,"7":1081,"8":1085,"9":1121,"10":1124,"11":1160,"12":1170,"13":1185,"14":1195,"15":1230,"17":1260,"18":1279,"19":1283,"20":1343,"22":1372,"23":1374,"24":1428,"25":1441,"26":1450,"27":1454,"28":1467,"29":1474,"30":1489,"33":1531,"34":1539,"35":1543,"36":1544,"37":1562,"38":1566,"39":1631,"40":1632,"41":1659,"42":1666,"43":1673,"44":1710,"45":1735,"46":1803,"47":1806,"48":1818,"49":1851,"50":1877,"51":1897,"52":1949,"53":1962,"54":2010,"55":2034},{"1":1077,"2":1100,"3":1111,"4":1138,"5":1154,"6":1216,"7":1235,"8":1334,"9":1363,"10":1373,"11":1385,"12":1408,"13":1457,"14":1461,"15":1516,"16":1522,"17":1549,"18":1559,"19":1577,"20":1580,"21":1630,"22":1657,"23":1671,"24":1718,"26":1797,"27":1802,"28":1823,"30":1827,"31":1872,"32":1892,"33":1901,"34":1906,"36":1938,"37":1945,"38":1950,"39":1973,"41":1993},{"0":1042,"1":1060,"2":1064,"3":1102,"4":1110,"5":1115,"6":1221,"7":1223,"8":1306,"9":1320,"11":1412,"12":1455,"13":1504,"14":1506,"15":1568,"19":1616,"20":1707,"21":1721,"22":1746,"23":1758,"24":1768,"25":1891},{"5":1296,"7":1442,"8":1451,"9":1460,"10":1513,"12":1570,"13":1635,"14":1646,"15":1690,"18":1717,"20":1883},{"0":1131,"3":1607,"4":1623,"6":1733,"8":1924},{"0":1039,"3":1693},[],[],[]]