[{"0":1,"1":2,"2":3,"6":9,"8":12,"9":13,"10":14,"11":17,"14":21,"20":28,"21":31,"23":33,"24":34,"26":36,"27":37,"28":40,"35":48,"38":51,"41":54,"42":55,"43":56,"44":57,"45":58,"49":64,"51":66,"54":69,"57":72,"58":73,"60":75,"62":77,"63":78,"64":80,"66":83,"67":84,"68":85,"70":88,"71":89,"73":91,"77":96,"78":97,"79":98,"81":102,"82":103,"85":106,"86":107,"87":108,"88":110,"89":111,"90":112,"93":115,"95":118,"98":122,"99":123,"100":124,"101":125,"105":129,"107":132,"108":133,"110":137,"112":139,"114":141,"115":146,"117":148,"119":152,"123":158,"124":160,"125":161,"126":162,"128":164,"130":166,"131":167,"133":169,"134":170,"135":172,"136":173,"138":175,"140":177,"141":178,"143":182,"144":185,"145":187,"150":195,"152":197,"153":198,"155":200,"161":208,"162":210,"163":211,"164":212,"166":214,"167":216,"170":219,"172":222,"175":225,"179":230,"180":231,"181":232,"183":234,"184":235,"185":236,"186":237,"187":238,"188":239,"189":240,"190":242,"193":245,"197":252,"199":254,"202":257,"207":262,"208":263,"210":266,"211":267,"212":269,"213":270,"214":271,"215":272,"218":276,"220":278,"221":280,"222":284,"224":287,"225":288,"226":289,"228":292,"229":294,"230":295,"232":297,"233":299,"234":300,"236":303,"237":304,"238":308,"239":309,"240":310,"241":312,"242":313,"243":314,"245":316,"246":317,"251":323,"253":325,"254":328,"256":336,"257":337,"258":338,"265":345,"267":348,"268":349,"269":351,"272":354,"274":356,"275":357,"276":358,"278":360,"280":363,"281":364,"284":368,"285":370,"286":371,"287":372,"293":381,"297":386,"298":387,"300":389,"301":391,"302":392,"305":396,"306":397,"315":520,"317":523,"318":524,"323":530,"324":532,"325":533,"326":534,"334":543,"337":546,"339":548,"341":550,"343":552,"344":553,"345":554,"347":556,"350":559,"351":560,"352":561,"353":562,"354":563,"356":565,"358":567,"359":568,"360":569,"362":572,"365":576,"366":577,"367":578,"368":579,"370":583,"373":587,"374":588,"375":589,"379":597,"380":598,"381":599,"385":603,"386":604,"387":605,"388":606,"390":608,"392":611,"393":612,"395":614,"397":616,"399":618,"400":619,"403":622,"405":625,"406":628,"407":630,"408":631,"409":633,"410":634,"411":635,"413":637,"414":638,"416":640,"417":641,"419":643,"420":644,"421":645,"422":646,"426":652,"427":655,"428":656,"430":659,"431":660,"432":662,"433":663,"434":664,"435":665,"437":667,"441":672,"442":673,"443":674,"444":675,"445":676,"448":679,"450":682,"452":684,"455":688,"456":689,"458":692,"460":694,"462":696,"463":697,"464":699,"466":702,"468":704,"470":706,"471":707,"475":711,"478":716,"479":717,"481":720,"483":723,"484":724,"485":725,"487":728,"488":730,"489":731,"491":733,"493":736,"496":739,"497":740,"498":741,"500":743,"503":747,"508":753,"511":757,"512":759,"513":760,"515":763,"517":766,"519":768,"520":769,"525":776,"527":780,"528":781,"529":782,"530":783,"535":788,"536":790,"537":791,"538":792,"539":793,"542":798,"543":799,"546":803,"550":807,"552":809,"553":810,"554":811,"561":820,"563":823,"564":824,"566":829,"567":830,"569":832,"573":838,"575":840,"576":843,"577":844,"578":845,"581":849,"583":851,"584":852,"585":853,"586":854,"588":858,"589":859,"592":863,"593":864,"594":865,"595":866,"596":867,"598":870,"599":871,"600":872,"603":875,"605":878,"606":879,"609":882,"610":883,"611":884,"612":885,"613":888,"616":891,"617":892,"618":893,"619":895,"620":896,"625":901,"627":907,"628":908,"629":909,"630":910,"631":911,"633":1034,"634":1037,"635":1042,"636":1044,"639":1074,"640":1076,"641":1079,"642":1094,"644":1117,"645":1119,"646":1130,"648":1149,"649":1151,"650":1155,"651":1156,"653":1162,"663":1232,"666":1250,"670":1265,"672":1270,"674":1274,"675":1275,"676":1280,"677":1285,"678":1301,"679":1303,"683":1319,"685":1339,"686":1352,"688":1356,"690":1376,"691":1392,"692":1412,"693":1416,"695":1420,"696":1422,"697":1423,"698":1433,"700":1452,"701":1458,"702":1459,"703":1464,"705":1473,"706":1480,"707":1481,"710":1500,"714":1536,"719":1566,"720":1568,"721":1569,"723":1572,"724":1584,"725":1590,"728":1598,"731":1632,"733":1638,"734":1647,"737":1655,"738":1667,"743":1685,"744":1686,"745":1698,"746":1701,"748":1709,"750":1717,"751":1722,"752":1725,"753":1741,"755":1751,"757":1756,"758":1768,"759":1769,"761":1772,"762":1780,"763":1782,"764":1783,"765":1789,"766":1813,"767":1815,"768":1816,"770":1824,"772":1833,"773":1835,"774":1840,"776":1855,"778":1901,"781":1948,"783":1956,"785":1961,"786":1965,"788":1979,"789":1986,"790":1996,"791":2005,"794":2031,"795":2034},{"0":0,"2":8,"5":24,"6":29,"9":60,"11":82,"12":87,"14":101,"15":109,"20":143,"23":151,"24":156,"25":157,"34":209,"35":215,"36":220,"38":241,"45":279,"47":282,"49":285,"53":305,"54":306,"57":318,"58":326,"59":327,"60":330,"62":332,"65":335,"66":347,"68":362,"69":369,"70":377,"72":380,"75":394,"76":400,"80":405,"82":409,"83":410,"84":411,"85":412,"86":413,"87":414,"89":416,"91":419,"94":423,"95":425,"96":426,"97":427,"98":428,"99":430,"101":432,"102":434,"103":436,"105":438,"107":442,"108":443,"109":444,"110":445,"111":446,"113":449,"117":455,"119":458,"121":462,"124":465,"127":468,"128":469,"130":472,"132":474,"133":475,"136":478,"137":481,"139":484,"142":488,"143":489,"144":490,"145":491,"146":492,"147":493,"151":498,"154":503,"157":506,"160":511,"166":570,"167":580,"168":581,"170":590,"171":592,"176":626,"177":627,"180":648,"182":653,"184":657,"185":661,"188":691,"190":701,"191":712,"195":735,"197":749,"198":756,"199":758,"200":764,"202":772,"203":777,"205":789,"207":802,"208":825,"211":835,"212":841,"214":855,"215":857,"217":869,"218":886,"219":887,"220":894,"221":902,"222":903,"227":915,"228":917,"230":921,"232":925,"234":927,"236":929,"237":930,"238":932,"240":934,"243":938,"244":939,"245":940,"246":941,"247":942,"248":943,"251":946,"252":947,"253":948,"254":949,"255":950,"256":952,"260":956,"261":957,"264":961,"266":963,"268":965,"269":966,"270":967,"271":969,"272":971,"276":975,"277":976,"278":977,"279":980,"281":982,"282":983,"283":984,"284":985,"285":986,"287":988,"288":991,"289":992,"291":996,"292":998,"293":999,"297":1004,"298":1005,"299":1006,"301":1009,"303":1012,"304":1013,"306":1015,"309":1019,"313":1029,"314":1031,"316":1051,"319":1061,"320":1065,"323":1081,"324":1089,"330":1112,"331":1121,"336":1152,"338":1177,"340":1182,"341":1204,"344":1235,"345":1241,"346":1242,"350":1283,"352":1298,"353":1299,"354":1302,"355":1307,"358":1323,"361":1338,"365":1369,"366":1379,"367":1382,"368":1388,"369":1390,"371":1413,"372":1415,"373":1418,"376":1434,"377":1435,"378":1445,"380":1457,"383":1468,"387":1485,"389":1489,"390":1496,"391":1497,"392":1502,"393":1504,"397":1516,"398":1517,"399":1523,"402":1530,"404":1542,"408":1555,"409":1564,"411":1597,"413":1604,"415":1622,"418":1631,"420":1642,"421":1643,"422":1654,"423":1656,"424":1659,"425":1669,"426":1670,"427":1671,"428":1672,"429":1676,"430":1687,"432":1700,"434":1708,"439":1727,"440":1728,"441":1734,"442":1737,"443":1748,"444":1762,"446":1773,"447":1787,"448":1794,"449":1799,"450":1800,"452":1803,"453":1825,"455":1854,"456":1862,"457":1877,"458":1878,"459":1883,"462":1915,"463":1916,"464":1920,"467":1941,"468":1947,"469":1950,"470":1972,"471":1982,"472":1983,"473":1989,"475":1993,"477":1999,"478":2004,"480":2009,"481":2012,"483":2020,"484":2028,"485":2030,"488":2038},{"1":19,"4":59,"8":144,"11":184,"15":406,"18":420,"19":424,"20":429,"21":433,"22":435,"24":454,"25":460,"26":471,"27":486,"28":494,"29":502,"32":537,"34":687,"35":718,"36":726,"38":795,"39":818,"41":833,"42":842,"44":905,"47":920,"48":922,"52":951,"53":968,"56":989,"59":997,"60":1001,"61":1008,"62":1011,"63":1016,"64":1022,"68":1059,"69":1070,"71":1090,"73":1115,"74":1131,"75":1145,"76":1148,"77":1160,"79":1179,"80":1189,"89":1254,"90":1258,"91":1263,"92":1273,"93":1291,"94":1292,"95":1296,"96":1306,"97":1315,"98":1325,"101":1336,"106":1350,"108":1368,"109":1371,"110":1372,"112":1405,"113":1407,"114":1410,"115":1414,"121":1450,"124":1467,"125":1474,"126":1478,"128":1498,"134":1545,"135":1552,"136":1560,"137":1571,"138":1573,"140":1581,"142":1607,"143":1610,"145":1628,"146":1635,"147":1650,"150":1683,"151":1693,"152":1696,"155":1729,"158":1745,"162":1771,"165":1798,"171":1837,"172":1846,"174":1860,"175":1861,"177":1865,"182":1905,"183":1908,"184":1917,"187":1926,"191":1957,"192":1958,"193":1962,"194":1971,"196":1984,"198":1991,"199":2014},{"1":441,"3":451,"8":500,"9":815,"12":994,"13":1025,"14":1032,"15":1033,"16":1038,"17":1052,"19":1066,"21":1138,"26":1172,"29":1199,"31":1221,"32":1225,"33":1238,"36":1245,"38":1277,"39":1286,"40":1313,"41":1317,"43":1361,"45":1387,"46":1394,"47":1399,"50":1425,"51":1472,"52":1482,"53":1492,"54":1499,"56":1548,"59":1557,"60":1575,"61":1592,"62":1599,"64":1615,"65":1648,"68":1697,"71":1736,"73":1743,"74":1774,"75":1779,"76":1788,"78":1808,"81":1819,"84":1836,"86":1842,"87":1848,"88":1849,"92":1884,"95":1909,"97":1923,"98":1928,"99":1931,"104":2002,"106":2018,"107":2021},{"0":482,"3":1072,"6":1087,"7":1099,"9":1111,"11":1126,"12":1143,"13":1169,"19":1223,"21":1237,"22":1239,"23":1282,"24":1316,"25":1320,"26":1330,"27":1340,"28":1364,"30":1384,"31":1385,"32":1391,"37":1447,"38":1460,"39":1476,"40":1479,"42":1493,"43":1501,"44":1506,"45":1519,"46":1535,"52":1582,"54":1588,"55":1600,"58":1680,"62":1732,"64":1765,"66":1784,"71":1830,"72":1843,"73":1853,"74":1864,"75":1872,"76":1955,"77":1963,"78":1968,"79":1978,"81":2010,"82":2017,"83":2019,"84":2026},{"0":1036,"1":1041,"2":1048,"5":1088,"9":1129,"11":1153,"14":1191,"24":1360,"27":1378,"29":1398,"32":1471,"35":1505,"36":1518,"37":1534,"39":1586,"40":1633,"41":1646,"42":1690,"43":1711,"44":1747,"45":1758,"46":1759,"48":1766,"53":1845,"54":1858,"57":1886,"58":1904,"59":1911,"61":1930,"62":1940,"63":1942,"64":1954,"65":1959,"67":1969,"69":1987,"71":2000,"74":2047},{"2":1083,"4":1101,"8":1135,"9":1167,"13":1244,"14":1262,"15":1326,"17":1335,"21":1409,"22":1448,"24":1484,"25":1524,"26":1528,"28":1565,"29":1580,"33":1626,"36":1651,"39":1664,"40":1666,"41":1688,"44":1718,"45":1754,"47":1850,"48":1866,"49":1870,"50":1871,"52":1889,"57":1921,"58":1952,"59":2001},{"2":1091,"5":1098,"6":1100,"9":1183,"10":1188,"12":1197,"13":1201,"16":1271,"17":1295,"18":1318,"20":1396,"21":1421,"22":1430,"23":1527,"24":1538,"25":1561,"28":1611,"29":1624,"30":1662,"33":1706,"35":1744,"36":1752,"37":1785,"38":1793,"39":1795,"42":1857,"44":1891,"48":1925,"52":1980,"53":1981,"55":2013},{"3":1062,"4":1064,"5":1105,"6":1114,"7":1195,"9":1211,"10":1222,"11":1252,"12":1264,"14":1310,"15":1311,"18":1355,"19":1377,"21":1389,"22":1395,"23":1408,"24":1441,"26":1483,"29":1609,"30":1620,"35":1739,"36":1740,"38":1831,"41":1876,"42":1881,"44":1934,"45":1937},{"2":1039,"3":1046,"5":1124,"6":1127,"7":1139,"8":1165,"9":1227,"10":1229,"14":1393,"17":1451,"18":1507,"19":1514,"20":1574,"22":1602,"23":1606,"25":1627,"27":1658,"28":1763,"29":1791,"32":1995,"33":2003,"34":2008},{"1":1067,"2":1157,"3":1193,"4":1255,"5":1269,"7":1297,"9":1334,"10":1427,"12":1591,"13":1618,"14":1639,"16":1834,"17":1914,"18":1918,"21":1966,"22":2027},{"0":1102,"3":1163,"5":1205,"6":1268,"8":1363,"9":1373,"10":1381,"14":1455,"19":1699,"22":1724,"24":1804,"27":1970},{"0":1150,"1":1159,"4":1443,"5":1547,"6":1585,"13":1906,"14":1936,"15":1976},{"3":1278,"5":1540,"7":1939},{"0":1281,"3":1778},{"1":1141,"3":1287}]