[{"0":0,"2":3,"3":4,"4":5,"7":9,"10":13,"12":15,"13":16,"14":17,"15":18,"16":19,"17":20,"19":22,"23":27,"24":28,"25":29,"27":32,"28":33,"29":34,"32":37,"33":38,"39":44,"40":45,"41":46,"45":53,"46":55,"48":57,"50":60,"53":68,"54":70,"55":71,"56":72,"58":74,"60":76,"61":77,"62":79,"63":80,"65":82,"68":85,"69":86,"74":92,"76":94,"79":97,"80":98,"82":101,"83":102,"88":107,"90":110,"91":111,"92":112,"96":117,"97":118,"102":126,"103":127,"105":129,"107":131,"110":135,"113":140,"114":141,"118":147,"120":151,"121":152,"122":153,"125":158,"127":160,"128":161,"130":166,"131":167,"137":174,"138":176,"139":177,"140":178,"142":180,"143":181,"144":182,"146":184,"147":185,"151":189,"152":190,"153":192,"154":193,"160":200,"163":203,"164":204,"165":205,"167":207,"168":208,"169":209,"173":213,"174":214,"176":216,"177":217,"179":220,"181":222,"182":223,"183":224,"184":226,"185":227,"186":228,"187":229,"188":230,"189":231,"190":232,"191":233,"192":236,"194":241,"195":243,"196":244,"197":245,"199":247,"200":248,"203":252,"209":258,"210":260,"212":263,"213":264,"215":270,"226":283,"227":284,"229":286,"230":287,"231":288,"234":292,"235":293,"239":298,"240":300,"242":302,"243":303,"244":305,"245":306,"247":308,"248":309,"249":310,"251":316,"254":319,"256":322,"258":324,"259":325,"262":329,"263":330,"264":331,"266":333,"267":336,"268":338,"269":340,"270":344,"271":345,"272":346,"273":347,"275":349,"277":351,"278":352,"280":355,"281":356,"283":358,"285":361,"287":365,"288":366,"290":372,"292":374,"294":376,"297":382,"298":383,"299":384,"300":385,"302":387,"304":389,"305":390,"306":391,"310":397,"311":398,"312":400,"316":405,"318":407,"320":409,"323":413,"324":414,"328":419,"329":421,"330":422,"331":424,"332":425,"334":428,"335":512,"337":514,"338":515,"340":517,"347":526,"348":527,"349":528,"351":530,"355":534,"357":537,"361":541,"362":542,"366":547,"367":549,"368":550,"369":551,"371":555,"372":556,"374":558,"376":560,"377":561,"378":562,"379":563,"381":568,"382":572,"384":574,"385":575,"387":577,"388":578,"391":582,"394":585,"397":588,"399":590,"400":591,"403":594,"405":596,"406":597,"408":600,"409":601,"410":602,"412":604,"413":605,"414":607,"418":611,"419":612,"420":613,"422":615,"423":616,"424":617,"427":620,"430":623,"434":630,"435":631,"436":632,"437":633,"440":640,"442":643,"443":644,"448":650,"449":652,"451":654,"452":655,"453":656,"455":659,"456":660,"460":664,"461":665,"463":667,"464":668,"465":669,"466":670,"469":673,"470":676,"471":677,"474":680,"479":685,"480":687,"482":689,"486":693,"488":695,"490":697,"491":698,"492":699,"493":700,"495":702,"496":703,"497":704,"498":705,"499":706,"501":708,"503":710,"504":711,"505":712,"506":713,"507":714,"510":717,"513":721,"515":723,"517":725,"518":726,"519":727,"520":728,"521":729,"522":731,"524":734,"529":740,"530":741,"532":744,"533":745,"535":747,"536":748,"537":749,"538":751,"540":753,"541":754,"542":755,"545":758,"546":759,"547":760,"548":761,"550":763,"551":764,"556":770,"559":773,"561":775,"562":777,"563":779,"565":781,"566":784,"568":786,"569":787,"570":788,"572":790,"573":792,"574":793,"575":794,"577":796,"582":801,"587":809,"588":810,"589":811,"590":812,"592":814,"594":816,"596":819,"597":822,"598":824,"601":827,"602":828,"603":829,"606":832,"609":836,"611":838,"612":839,"613":842,"616":847,"619":850,"623":855,"624":856,"625":857,"628":860,"631":863,"634":868,"635":869,"636":870,"637":871,"638":872,"642":876,"643":877,"645":881,"646":885,"647":889,"648":890,"650":893,"651":894,"652":895,"653":896,"659":904,"660":906,"664":911,"665":912,"666":913,"668":916,"669":917,"670":918,"672":920,"677":927,"682":932,"683":933,"685":936,"686":938,"687":940,"689":1036,"690":1058,"691":1059,"693":1073,"696":1079,"697":1083,"698":1086,"699":1087,"704":1121,"706":1137,"707":1147,"708":1148,"709":1159,"712":1171,"713":1173,"715":1193,"717":1198,"718":1219,"720":1224,"726":1238,"727":1243,"729":1261,"730":1266,"731":1272,"732":1276,"733":1285,"736":1300,"739":1311,"742":1331,"743":1338,"745":1362,"746":1363,"747":1365,"748":1367,"749":1372,"751":1381,"753":1393,"754":1401,"755":1408,"758":1422,"761":1440,"762":1442,"764":1455,"765":1457,"766":1458,"769":1473,"770":1482,"772":1492,"773":1493,"774":1498,"775":1502,"776":1515,"778":1524,"779":1526,"780":1534,"787":1586,"789":1597,"790":1599,"791":1600,"793":1617,"794":1619,"797":1626,"799":1637,"802":1644,"804":1664,"805":1673,"806":1674,"808":1686,"810":1695,"812":1704,"814":1713,"816":1718,"817":1722,"819":1735,"820":1745,"821":1749,"822":1752,"823":1758,"824":1759,"829":1786,"830":1795,"831":1797,"832":1799,"834":1815,"838":1833,"839":1844,"841":1850,"844":1862,"847":1884,"848":1890,"849":1894,"851":1913,"852":1922,"854":1927,"860":1964,"863":1985,"864":1989,"866":1991,"867":1992,"869":1994,"870":2007,"871":2013},{"2":11,"3":25,"4":30,"6":51,"9":58,"10":61,"11":62,"13":66,"14":67,"15":69,"16":78,"20":116,"21":119,"23":122,"24":134,"25":136,"28":144,"29":149,"30":155,"32":162,"36":191,"37":218,"41":237,"44":242,"50":271,"53":299,"54":304,"55":312,"57":314,"58":315,"59":328,"60":334,"61":335,"62":337,"64":341,"65":342,"68":359,"71":369,"72":370,"74":379,"76":399,"77":404,"83":429,"85":432,"86":433,"87":434,"88":436,"89":437,"90":438,"91":439,"93":442,"94":443,"96":447,"98":449,"99":450,"100":452,"102":454,"103":456,"105":458,"106":460,"107":464,"108":467,"110":471,"111":472,"114":476,"115":477,"116":478,"118":480,"122":484,"123":486,"124":487,"126":489,"127":490,"128":492,"131":497,"132":499,"133":500,"134":503,"135":505,"137":508,"138":511,"139":520,"140":522,"141":535,"142":543,"146":566,"147":569,"151":628,"152":635,"153":636,"154":638,"156":658,"157":675,"163":742,"164":750,"165":769,"166":776,"169":803,"171":807,"172":817,"177":841,"179":844,"180":854,"181":865,"182":866,"183":879,"184":880,"186":884,"187":886,"188":888,"189":892,"190":899,"192":905,"193":908,"194":915,"195":925,"196":935,"197":937,"198":939,"199":942,"201":945,"203":947,"205":949,"206":950,"208":953,"209":957,"210":959,"212":961,"213":963,"214":965,"217":970,"218":971,"220":976,"221":977,"222":978,"224":982,"227":986,"228":988,"232":992,"238":1000,"240":1002,"241":1003,"242":1005,"243":1006,"244":1007,"245":1008,"247":1014,"249":1020,"250":1021,"251":1024,"252":1039,"253":1042,"254":1046,"255":1047,"256":1049,"258":1054,"259":1068,"260":1075,"262":1081,"263":1093,"265":1098,"266":1108,"268":1119,"270":1126,"273":1149,"279":1175,"280":1177,"281":1191,"282":1201,"284":1218,"289":1255,"290":1264,"293":1270,"294":1277,"296":1282,"297":1290,"298":1296,"302":1326,"304":1336,"306":1343,"307":1375,"308":1383,"309":1386,"310":1391,"312":1415,"313":1418,"314":1419,"317":1447,"318":1448,"320":1460,"323":1470,"324":1475,"327":1505,"328":1512,"329":1516,"333":1537,"336":1554,"337":1564,"338":1568,"339":1569,"346":1611,"349":1635,"350":1643,"351":1650,"352":1655,"353":1659,"355":1668,"356":1678,"358":1692,"359":1703,"360":1705,"361":1712,"363":1716,"364":1728,"365":1729,"368":1746,"369":1751,"370":1753,"372":1765,"373":1773,"375":1778,"376":1784,"379":1798,"380":1800,"381":1804,"383":1824,"384":1825,"389":1859,"390":1869,"391":1874,"392":1876,"396":1888,"397":1889,"399":1898,"400":1901,"401":1906,"402":1909,"403":1914,"404":1917,"405":1935,"406":1937,"409":1946,"411":1954,"413":1975,"414":1983,"415":1987,"417":2006,"419":2020,"420":2025,"422":2031,"424":2038},{"0":150,"1":163,"2":195,"4":266,"5":291,"6":320,"7":362,"8":367,"9":380,"10":393,"11":430,"12":435,"13":440,"15":446,"16":459,"24":473,"26":491,"27":493,"28":494,"30":502,"31":504,"32":506,"35":564,"37":581,"38":599,"40":624,"43":651,"44":674,"47":820,"48":882,"51":952,"52":954,"53":955,"54":956,"55":958,"56":962,"58":966,"59":969,"60":973,"61":974,"63":984,"64":987,"65":994,"66":995,"70":1012,"71":1013,"73":1016,"75":1018,"76":1023,"77":1026,"79":1033,"80":1041,"81":1060,"82":1061,"83":1069,"85":1092,"86":1096,"87":1117,"90":1133,"91":1136,"92":1141,"93":1153,"96":1166,"100":1209,"101":1212,"103":1225,"104":1228,"105":1254,"107":1293,"109":1313,"110":1318,"112":1320,"113":1323,"115":1341,"116":1353,"119":1370,"121":1385,"122":1390,"123":1392,"124":1409,"125":1414,"127":1429,"128":1430,"129":1441,"130":1445,"132":1471,"134":1479,"136":1488,"137":1491,"140":1511,"142":1522,"143":1525,"146":1536,"148":1546,"150":1562,"151":1573,"156":1612,"157":1613,"158":1624,"160":1649,"163":1679,"164":1683,"165":1691,"167":1699,"169":1723,"170":1724,"171":1726,"173":1743,"177":1760,"179":1766,"180":1791,"182":1811,"184":1813,"185":1822,"188":1846,"189":1849,"190":1863,"192":1868,"193":1871,"194":1887,"197":1918,"198":1926,"199":1929,"200":1932,"201":1957,"203":1963,"204":1984,"205":2002,"206":2010},{"0":451,"1":455,"2":498,"3":887,"4":975,"5":980,"6":1022,"9":1032,"10":1044,"11":1055,"12":1062,"14":1065,"15":1080,"16":1084,"17":1085,"18":1099,"22":1156,"23":1164,"26":1207,"27":1217,"28":1220,"29":1234,"30":1245,"33":1257,"34":1308,"35":1334,"40":1371,"41":1382,"42":1398,"46":1427,"47":1461,"48":1489,"49":1490,"50":1496,"51":1519,"53":1533,"55":1565,"57":1585,"64":1666,"67":1701,"69":1721,"70":1731,"71":1732,"72":1733,"74":1755,"75":1756,"78":1771,"81":1794,"82":1801,"83":1803,"85":1855,"87":1907,"89":1951,"91":1966,"92":1970,"93":1974,"94":1980,"99":2043,"100":2044},{"2":1056,"7":1089,"10":1152,"12":1172,"13":1178,"15":1192,"16":1195,"17":1205,"18":1221,"19":1249,"21":1268,"22":1271,"23":1281,"29":1344,"30":1360,"32":1406,"33":1410,"39":1517,"40":1520,"42":1593,"44":1623,"45":1632,"46":1639,"48":1688,"49":1700,"52":1774,"54":1802,"55":1816,"56":1817,"61":1865,"63":1893,"64":1900,"65":1903,"68":1988,"71":2022},{"0":1028,"1":1072,"2":1082,"5":1107,"6":1128,"7":1138,"10":1185,"11":1189,"14":1208,"17":1241,"19":1248,"20":1250,"21":1259,"25":1305,"26":1315,"28":1368,"29":1373,"30":1384,"31":1389,"32":1431,"33":1438,"34":1454,"36":1501,"37":1508,"39":1544,"41":1594,"43":1614,"46":1656,"49":1680,"51":1706,"53":1730,"54":1747,"57":1779,"59":1828,"60":1829,"61":1840,"65":1930,"69":2024},{"0":1025,"1":1031,"2":1037,"4":1057,"5":1102,"6":1103,"7":1118,"8":1139,"9":1144,"17":1258,"20":1279,"24":1309,"25":1316,"26":1317,"27":1327,"30":1350,"31":1374,"32":1387,"34":1407,"36":1421,"38":1541,"39":1549,"41":1590,"42":1616,"43":1618,"44":1651,"45":1658,"48":1675,"49":1727,"52":1827,"53":1836,"54":1838,"55":1880,"57":1891,"58":1892,"62":1996},{"1":1101,"2":1109,"4":1161,"6":1197,"7":1230,"8":1246,"9":1275,"11":1307,"13":1322,"14":1346,"16":1395,"19":1451,"20":1459,"21":1478,"24":1556,"26":1571,"27":1577,"29":1648,"30":1742,"31":1780,"32":1810,"33":1821,"35":1866,"40":1924,"41":1945,"46":1986,"47":2014},{"0":1091,"1":1115,"2":1129,"4":1186,"5":1216,"7":1321,"8":1333,"9":1335,"10":1416,"11":1444,"14":1566,"15":1572,"16":1579,"17":1587,"20":1657,"21":1677,"22":1681,"23":1719,"24":1740,"26":1856,"27":1857,"30":1921,"32":1979,"34":2000,"35":2012},{"1":1043,"2":1048,"3":1124,"6":1232,"10":1428,"11":1506,"13":1530,"15":1570,"16":1609,"18":1711,"19":1808,"20":1904,"21":1934,"22":1948,"23":1952,"24":1967,"25":1969,"26":1978,"27":1999,"28":2015},{"0":1066,"1":1113,"2":1140,"3":1151,"4":1347,"7":1377,"8":1425,"9":1436,"11":1558,"12":1563,"13":1576,"14":1580,"15":1592,"16":1603,"18":1682,"20":1895,"22":1933},{"4":1351,"5":1394,"6":1402,"7":1456,"8":1486,"10":1628,"13":1715,"14":1762,"16":1806,"18":1852,"20":1919,"21":1971,"22":1998,"23":2005,"24":2008},{"2":1104,"3":1125,"6":1356,"8":1435,"10":1480,"11":1503,"12":1504,"14":1627,"16":1685,"18":1915,"19":1977,"20":2001},{"0":1116,"2":1214,"3":1481,"4":1557,"5":1582,"6":1744,"7":1790,"9":1832,"11":1968,"12":2004},{"0":1237,"1":1369,"2":1378,"3":1453,"4":1462,"5":1510,"6":1567,"7":1661,"9":1944,"10":2046},{"1":1262,"2":1396,"3":1768,"4":1837,"5":1938},{"3":1465},{"3":1697},[]]