[{"0":0,"1":1,"4":4,"6":6,"7":7,"9":9,"10":10,"11":11,"16":18,"19":21,"20":22,"23":25,"27":29,"28":30,"30":33,"31":34,"32":35,"33":36,"35":38,"36":40,"37":41,"39":43,"41":45,"44":48,"45":49,"46":50,"50":54,"51":55,"55":60,"57":63,"58":64,"59":65,"60":67,"61":68,"62":69,"65":77,"67":80,"69":82,"70":85,"74":90,"75":91,"76":93,"77":94,"78":95,"86":103,"88":107,"89":108,"91":110,"92":111,"93":112,"96":116,"98":119,"100":121,"102":124,"103":125,"104":126,"107":129,"108":130,"111":134,"112":135,"114":137,"115":138,"117":140,"120":144,"121":145,"123":148,"124":150,"125":152,"126":154,"130":160,"132":162,"133":163,"135":165,"137":167,"138":168,"139":169,"140":170,"141":171,"143":173,"145":175,"146":176,"149":179,"152":184,"153":185,"155":189,"156":191,"157":192,"158":193,"159":194,"161":198,"164":201,"165":202,"168":205,"170":207,"171":208,"173":211,"174":212,"176":216,"178":218,"180":220,"184":224,"185":225,"186":227,"189":230,"190":231,"195":236,"197":238,"198":240,"200":242,"202":244,"203":245,"205":248,"206":249,"208":254,"210":258,"215":263,"216":264,"221":269,"222":270,"223":271,"224":272,"225":274,"232":283,"233":285,"235":288,"236":290,"237":291,"238":292,"239":293,"240":294,"242":296,"245":299,"246":300,"248":302,"252":307,"253":308,"255":310,"256":311,"259":314,"262":318,"263":319,"264":320,"269":325,"271":328,"273":330,"276":333,"278":335,"280":337,"281":339,"283":341,"284":342,"286":344,"288":347,"289":348,"292":351,"294":353,"295":354,"296":355,"299":358,"301":361,"303":363,"304":365,"305":366,"306":368,"307":369,"310":372,"311":373,"312":374,"314":378,"316":380,"317":381,"321":385,"322":386,"323":387,"324":388,"325":389,"326":390,"327":392,"328":393,"330":395,"333":401,"335":404,"336":406,"346":515,"349":518,"350":519,"353":524,"354":525,"355":526,"357":528,"361":534,"362":535,"363":536,"365":540,"366":541,"369":544,"370":545,"371":547,"372":549,"374":551,"376":553,"379":557,"380":558,"381":559,"382":560,"383":561,"384":562,"385":563,"386":564,"387":566,"388":567,"391":570,"392":571,"396":578,"398":580,"400":582,"401":583,"402":585,"404":587,"407":590,"409":592,"410":593,"411":594,"415":599,"417":602,"418":603,"419":604,"422":607,"426":611,"427":612,"428":613,"429":614,"430":615,"432":617,"433":618,"434":620,"435":621,"437":623,"438":624,"441":628,"444":631,"445":632,"447":634,"449":637,"453":643,"455":646,"456":647,"457":649,"458":650,"459":651,"460":652,"461":655,"463":658,"464":659,"465":660,"466":661,"467":662,"470":665,"472":668,"473":669,"474":670,"475":671,"476":672,"478":674,"482":679,"483":680,"484":681,"485":682,"486":683,"487":684,"489":686,"491":688,"492":689,"494":691,"495":692,"496":693,"497":694,"498":695,"502":699,"504":701,"505":702,"514":714,"516":716,"517":717,"521":722,"522":723,"526":728,"527":729,"528":731,"529":732,"530":734,"533":737,"534":739,"538":743,"541":746,"543":749,"544":750,"548":754,"550":757,"552":759,"556":765,"560":769,"562":771,"564":773,"567":776,"568":780,"569":781,"573":787,"575":789,"577":791,"578":793,"582":797,"583":798,"585":800,"587":802,"590":806,"594":810,"596":815,"597":816,"598":817,"599":818,"600":819,"601":820,"604":824,"605":825,"607":827,"608":828,"609":829,"610":830,"611":831,"613":834,"614":835,"616":837,"617":838,"619":840,"620":841,"621":842,"624":847,"625":848,"629":852,"630":854,"631":855,"632":856,"633":857,"634":858,"639":863,"640":864,"641":865,"645":870,"648":873,"649":874,"651":876,"652":877,"654":879,"657":882,"658":883,"659":884,"660":885,"661":886,"663":889,"664":890,"667":893,"669":895,"670":896,"671":897,"673":899,"675":901,"676":902,"677":903,"681":908,"683":911,"684":912,"685":913,"686":915,"688":917,"689":918,"690":919,"691":920,"693":922,"695":924,"696":925,"699":1038,"702":1055,"703":1059,"705":1067,"706":1089,"708":1107,"711":1133,"712":1135,"713":1136,"714":1137,"716":1139,"717":1147,"718":1166,"719":1179,"720":1185,"723":1197,"725":1213,"728":1233,"730":1248,"731":1261,"733":1274,"734":1276,"735":1281,"736":1298,"738":1309,"739":1310,"740":1314,"741":1319,"744":1361,"745":1362,"746":1368,"748":1383,"749":1389,"750":1397,"752":1408,"753":1411,"754":1413,"756":1421,"759":1445,"760":1454,"761":1467,"762":1468,"764":1472,"765":1482,"766":1486,"767":1491,"768":1499,"769":1501,"771":1504,"774":1528,"775":1532,"779":1547,"781":1549,"783":1562,"784":1564,"786":1590,"787":1594,"788":1596,"792":1604,"795":1615,"797":1638,"798":1660,"799":1663,"800":1669,"801":1673,"802":1678,"806":1709,"808":1727,"809":1731,"810":1734,"811":1750,"812":1751,"815":1764,"816":1778,"819":1799,"826":1834,"827":1835,"829":1837,"830":1838,"839":1909,"840":1921,"842":1939,"843":1942,"845":1945,"846":1948,"848":1962,"849":1967,"850":1984,"851":1986,"852":1993,"854":1996,"856":2009,"857":2011,"859":2044},{"0":15,"1":16,"5":61,"6":66,"7":70,"9":73,"10":74,"11":75,"13":83,"14":84,"15":87,"16":104,"17":106,"19":118,"20":123,"21":131,"22":142,"24":149,"25":151,"26":153,"27":155,"28":180,"30":187,"32":190,"33":195,"34":196,"35":210,"38":226,"39":239,"40":247,"41":251,"42":252,"43":253,"45":256,"46":276,"48":287,"49":305,"51":326,"53":345,"54":359,"56":367,"57":375,"58":376,"59":391,"61":398,"62":399,"64":405,"66":414,"68":417,"69":418,"70":420,"72":423,"75":426,"76":427,"80":434,"83":438,"84":439,"85":440,"87":442,"88":443,"90":446,"92":448,"93":450,"95":453,"97":455,"100":460,"101":461,"104":466,"106":468,"109":472,"113":477,"115":480,"116":481,"119":485,"120":488,"121":489,"122":490,"123":491,"125":493,"126":494,"127":495,"128":496,"129":497,"130":498,"132":500,"135":503,"137":505,"139":508,"140":509,"141":510,"142":520,"144":532,"145":533,"147":539,"148":548,"149":556,"151":572,"152":574,"153":584,"156":627,"157":635,"158":638,"160":645,"162":654,"163":656,"167":711,"169":727,"170":733,"171":738,"172":747,"173":761,"174":763,"175":777,"176":778,"177":779,"178":786,"179":792,"180":804,"181":811,"182":812,"183":813,"184":822,"185":833,"187":846,"188":853,"190":887,"191":904,"192":909,"196":930,"199":933,"201":935,"202":936,"203":937,"204":939,"211":948,"212":949,"213":951,"214":952,"217":955,"218":956,"219":957,"220":958,"222":960,"223":961,"226":964,"227":966,"228":967,"232":972,"233":973,"234":974,"235":975,"238":979,"242":983,"243":984,"245":986,"246":988,"251":994,"252":995,"254":997,"255":998,"256":999,"262":1006,"263":1007,"267":1014,"268":1015,"269":1016,"270":1017,"271":1019,"272":1021,"275":1025,"278":1035,"279":1040,"280":1046,"281":1048,"284":1062,"285":1066,"286":1072,"289":1084,"290":1085,"292":1092,"294":1094,"295":1099,"296":1100,"297":1106,"298":1115,"299":1117,"301":1127,"306":1160,"309":1172,"312":1200,"313":1205,"315":1220,"316":1223,"317":1231,"318":1240,"321":1251,"323":1253,"325":1259,"328":1269,"329":1279,"330":1288,"331":1292,"332":1294,"333":1322,"334":1333,"335":1340,"336":1344,"338":1346,"339":1350,"341":1364,"343":1371,"344":1380,"346":1392,"347":1394,"348":1398,"349":1400,"350":1402,"352":1410,"354":1415,"355":1419,"356":1426,"358":1431,"361":1438,"362":1443,"363":1447,"364":1450,"365":1452,"366":1455,"368":1459,"369":1485,"370":1492,"371":1493,"372":1495,"374":1507,"376":1516,"377":1518,"379":1523,"380":1526,"382":1541,"384":1550,"385":1553,"387":1563,"388":1567,"389":1568,"390":1572,"393":1602,"394":1611,"395":1613,"396":1618,"397":1633,"398":1654,"399":1655,"400":1656,"402":1665,"403":1668,"407":1690,"409":1703,"411":1710,"412":1712,"413":1715,"415":1722,"417":1746,"418":1748,"419":1752,"421":1756,"427":1794,"429":1800,"430":1808,"431":1812,"432":1820,"433":1821,"436":1841,"438":1850,"440":1876,"442":1881,"443":1882,"444":1884,"445":1889,"447":1898,"450":1920,"452":1932,"453":1953,"454":1968,"455":1977,"456":1979,"458":2000,"459":2001,"462":2008,"464":2030,"465":2031,"467":2034,"469":2041,"470":2042},{"0":92,"1":273,"2":284,"4":419,"5":421,"7":430,"8":432,"9":436,"11":449,"13":457,"14":458,"15":462,"16":464,"17":471,"18":475,"19":479,"20":486,"21":487,"23":511,"24":546,"25":575,"26":601,"27":648,"29":730,"30":756,"33":926,"34":938,"35":941,"36":965,"37":971,"39":990,"42":1013,"45":1030,"48":1047,"51":1070,"54":1079,"55":1096,"61":1154,"63":1161,"64":1167,"65":1171,"67":1196,"70":1250,"72":1258,"73":1262,"74":1278,"76":1301,"78":1315,"80":1329,"81":1330,"82":1335,"83":1336,"88":1377,"90":1385,"91":1387,"94":1417,"95":1425,"97":1429,"98":1462,"99":1465,"100":1466,"102":1488,"103":1500,"105":1510,"106":1514,"107":1529,"108":1533,"111":1554,"112":1559,"113":1586,"114":1597,"115":1608,"116":1622,"117":1634,"118":1639,"120":1662,"121":1666,"122":1670,"124":1682,"126":1707,"127":1713,"128":1725,"130":1738,"131":1740,"135":1774,"136":1787,"137":1801,"139":1806,"141":1809,"143":1828,"144":1830,"146":1854,"150":1874,"152":1887,"153":1919,"154":1927,"160":1983,"161":1998,"162":2002,"164":2016,"167":2029,"168":2047},{"0":159,"1":415,"2":484,"4":950,"9":1043,"10":1058,"11":1071,"12":1080,"14":1121,"16":1145,"18":1180,"19":1187,"20":1209,"21":1227,"23":1239,"24":1256,"25":1273,"26":1284,"28":1291,"33":1365,"36":1381,"38":1395,"40":1424,"41":1430,"43":1463,"45":1487,"46":1543,"47":1546,"48":1552,"49":1555,"56":1620,"57":1629,"60":1646,"61":1649,"62":1653,"63":1675,"68":1798,"69":1843,"70":1847,"71":1856,"72":1857,"73":1895,"77":1907,"79":1913,"80":1924,"82":1935,"84":1951,"85":1956,"86":1957,"89":1987,"92":1999,"93":2018,"94":2027,"96":2038},{"0":1026,"2":1044,"3":1054,"4":1068,"5":1073,"6":1134,"8":1169,"10":1174,"11":1176,"14":1203,"15":1208,"17":1225,"19":1238,"20":1245,"21":1275,"22":1287,"24":1342,"25":1349,"28":1393,"29":1409,"32":1460,"35":1527,"36":1570,"38":1587,"39":1619,"40":1626,"41":1667,"42":1686,"44":1699,"45":1704,"46":1718,"48":1728,"50":1772,"55":1823,"56":1861,"58":1910,"63":1974,"64":1981,"65":1988,"69":2021},{"0":1029,"2":1090,"5":1118,"9":1152,"10":1175,"12":1198,"15":1247,"16":1260,"18":1270,"20":1285,"21":1289,"22":1304,"24":1376,"26":1448,"29":1508,"30":1521,"31":1539,"32":1545,"33":1551,"35":1566,"38":1592,"39":1606,"42":1650,"43":1657,"44":1689,"48":1741,"51":1786,"52":1790,"54":1811,"55":1817,"58":1832,"63":1869,"65":1965,"66":2019,"67":2026,"68":2046},{"1":1060,"5":1130,"8":1163,"10":1194,"11":1206,"14":1235,"15":1241,"16":1257,"17":1267,"18":1271,"19":1277,"20":1311,"22":1331,"23":1348,"26":1406,"27":1433,"28":1442,"30":1538,"33":1581,"34":1600,"38":1648,"39":1658,"40":1661,"44":1714,"45":1742,"49":1860,"50":1888,"51":1896,"52":1912,"53":1938,"54":1947,"55":1952,"56":1955,"57":1960,"58":1976,"60":1991,"62":2017},{"0":1081,"1":1082,"3":1153,"4":1183,"5":1189,"8":1228,"10":1266,"11":1283,"12":1286,"14":1296,"16":1326,"17":1334,"18":1338,"19":1347,"20":1354,"22":1388,"23":1407,"25":1449,"26":1474,"27":1476,"28":1483,"32":1588,"33":1593,"34":1623,"35":1695,"36":1698,"38":1726,"39":1760,"40":1765,"41":1825,"42":1851,"43":1872,"44":1880,"46":1931,"47":1959,"49":2020},{"0":1036,"3":1122,"4":1124,"7":1168,"8":1177,"9":1181,"12":1234,"13":1306,"15":1360,"16":1382,"17":1403,"19":1453,"20":1464,"21":1531,"22":1591,"23":1612,"25":1652,"26":1691,"28":1733,"31":1792,"33":1886,"34":1891,"38":1934,"40":2037},{"1":1063,"2":1110,"3":1204,"4":1212,"5":1229,"6":1280,"7":1308,"8":1312,"9":1359,"12":1505,"13":1519,"14":1524,"15":1621,"19":1763,"20":1770,"21":1777,"22":1885,"23":1901,"24":1928,"25":1958,"26":1973,"27":2007},{"0":1065,"1":1074,"2":1125,"3":1141,"4":1207,"6":1237,"7":1246,"9":1323,"10":1339,"11":1412,"12":1446,"13":1458,"14":1461,"15":1479,"17":1494,"18":1571,"19":1625,"21":1701,"23":1735,"24":1758,"26":1788,"27":1866,"28":1883,"29":1906,"30":1915,"33":2043},{"0":1087,"1":1114,"2":1119,"3":1211,"5":1318,"8":1436,"10":1609,"12":1640,"14":1744,"15":1747,"17":1824,"18":1833,"21":1908,"22":1940,"23":1954,"25":2012,"26":2015},{"0":1042,"1":1064,"2":1111,"3":1146,"5":1307,"7":1337,"12":1475,"14":1484,"17":1579,"20":1641,"22":1737,"23":1762,"24":1791,"25":1840,"26":1844,"27":1916,"28":1918,"29":2024},{"0":1091,"1":1317,"4":1627,"5":1636,"6":1643,"7":1671,"8":1723,"10":1804,"11":1923,"12":1930,"13":1946},{"0":1069,"1":1102,"2":1517,"3":1651,"4":1732,"5":1745,"7":1802,"8":1892},{"0":1104,"1":1150,"3":1328,"4":1595},{"1":1489,"4":1966}]