[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"16":17,"17":18,"18":19,"19":20,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":30,"30":36,"31":37,"32":39,"34":41,"35":42,"36":43,"37":44,"38":45,"39":46,"40":47,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"49":57,"50":58,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"67":76,"68":78,"71":83,"72":84,"73":85,"74":86,"75":87,"76":88,"77":89,"78":90,"79":91,"80":92,"81":93,"82":95,"83":99,"84":100,"86":102,"87":105,"88":106,"89":108,"90":109,"91":110,"92":111,"93":112,"95":114,"96":116,"97":117,"98":118,"99":119,"100":124,"101":125,"102":126,"103":127,"104":128,"105":129,"106":130,"107":131,"108":132,"109":133,"110":134,"111":135,"112":136,"113":137,"118":144,"119":145,"120":147,"121":148,"122":150,"123":151,"124":152,"125":153,"126":154,"127":156,"128":157,"129":158,"132":164,"133":165,"134":167,"135":169,"136":170,"137":171,"138":172,"139":173,"140":174,"142":176,"143":178,"144":179,"145":180,"146":181,"147":182,"148":183,"149":184,"150":185,"151":187,"154":191,"155":192,"156":194,"157":195,"158":196,"159":199,"160":200,"161":201,"162":202,"163":203,"164":204,"165":206,"169":214,"170":215,"171":216,"172":217,"173":219,"174":220,"175":222,"176":223,"177":224,"178":226,"179":228,"180":229,"181":232,"182":234,"183":235,"184":236,"185":237,"186":238,"187":239,"188":241,"189":242,"190":243,"191":247,"192":248,"193":250,"194":252,"196":254,"197":255,"198":256,"199":257,"200":258,"201":259,"202":260,"203":261,"204":262,"205":263,"206":264,"207":266,"208":267,"209":270,"210":271,"211":272,"212":274,"213":275,"214":276,"215":277,"216":278,"217":279,"218":280,"219":281,"220":282,"221":283,"222":286,"223":287,"224":288,"225":289,"226":291,"227":292,"228":293,"229":294,"230":295,"231":297,"232":298,"233":299,"234":300,"235":301,"236":302,"237":303,"238":304,"239":305,"240":306,"241":307,"242":309,"243":312,"244":313,"245":315,"246":316,"247":317,"248":318,"249":319,"250":320,"251":321,"252":322,"253":323,"254":324,"255":325,"256":326,"257":327,"258":328,"259":329,"260":512,"261":513,"262":514,"263":515,"264":516,"265":517,"266":518,"267":519,"268":520,"269":521,"270":522,"271":523,"272":524,"278":530,"279":533,"280":534,"281":535,"282":536,"283":537,"284":538,"285":539,"286":540,"287":541,"288":542,"289":543,"292":547,"293":548,"294":552,"295":553,"296":554,"297":557,"298":558,"299":559,"300":560,"301":562,"302":563,"303":564,"304":565,"305":567,"306":568,"307":569,"308":570,"309":571,"312":575,"313":577,"314":578,"315":579,"316":580,"317":581,"318":582,"319":583,"320":584,"321":585,"322":587,"323":588,"324":589,"325":590,"326":592,"330":596,"331":598,"332":599,"333":603,"334":604,"336":607,"337":608,"338":609,"339":611,"340":613,"341":614,"342":615,"343":616,"344":619,"345":620,"346":621,"347":622,"348":624,"349":625,"350":628,"351":629,"352":630,"353":631,"354":632,"355":635,"356":636,"357":637,"358":638,"359":639,"360":640,"361":641,"362":642,"363":643,"364":645,"365":646,"366":647,"367":648,"368":649,"369":650,"370":651,"374":656,"375":659,"376":660,"377":661,"378":662,"379":663,"380":664,"381":665,"382":666,"383":667,"384":668,"385":669,"389":677,"390":678,"391":679,"392":681,"393":682,"394":683,"395":684,"396":685,"397":686,"398":687,"399":688,"400":689,"401":690,"402":691,"403":692,"404":693,"405":694,"406":695,"407":696,"408":697,"409":698,"413":703,"414":704,"415":705,"416":706,"417":708,"418":709,"419":710,"420":711,"421":712,"422":713,"423":714,"424":715,"425":716,"426":717,"427":719,"428":720,"432":724,"433":725,"434":726,"435":727,"436":729,"437":730,"438":732,"439":733,"440":734,"441":735,"442":738,"443":739,"444":740,"445":741,"446":742,"447":743,"448":744,"449":745,"450":746,"451":747,"452":748,"454":752,"455":753,"456":755,"457":756,"458":757,"459":758,"460":759,"461":761,"462":765,"463":766,"464":767,"465":768,"467":771,"468":773,"469":776,"470":777,"471":778,"472":779,"473":780,"474":781,"475":782,"476":785,"477":786,"478":789,"479":790,"480":791,"481":792,"482":793,"483":797,"484":798,"485":802,"486":804,"487":805,"488":806,"489":807,"490":808,"491":809,"492":810,"493":813,"494":814,"495":815,"496":816,"497":817,"498":818,"499":819,"500":820,"501":821,"503":823,"504":824,"505":825,"506":826,"507":829,"508":830,"509":831,"510":832,"511":834,"512":835,"513":837,"514":838,"515":840,"516":1031,"517":1034,"518":1036,"519":1048,"520":1057,"521":1066,"523":1074,"524":1079,"525":1083,"526":1088,"527":1089,"528":1090,"529":1094,"530":1113,"531":1114,"533":1124,"535":1141,"536":1147,"537":1151,"538":1157,"539":1161,"540":1177,"541":1179,"542":1186,"543":1189,"544":1196,"545":1197,"546":1218,"547":1219,"548":1229,"549":1233,"550":1237,"551":1247,"552":1252,"553":1257,"555":1264,"556":1270,"557":1272,"558":1276,"559":1277,"560":1294,"561":1299,"562":1306,"563":1316,"564":1329,"566":1337,"567":1343,"568":1345,"569":1361,"570":1363,"571":1368,"572":1370,"573":1377,"574":1400,"575":1402,"576":1408,"578":1413,"579":1419,"580":1427,"581":1429,"582":1450,"583":1451,"584":1460,"585":1462,"586":1466,"587":1467,"588":1475,"589":1489,"590":1495,"591":1498,"592":1500,"593":1502,"594":1504,"595":1524,"596":1572,"597":1573,"598":1576,"599":1584,"600":1594,"601":1628,"602":1634,"603":1637,"604":1642,"605":1647,"607":1664,"608":1668,"609":1678,"610":1684,"611":1689,"612":1693,"613":1703,"614":1710,"615":1716,"616":1722,"617":1727,"618":1730,"619":1733,"620":1737,"621":1739,"622":1742,"623":1743,"624":1746,"625":1747,"626":1755,"627":1760,"629":1767,"630":1779,"631":1786,"632":1796,"633":1809,"634":1812,"635":1817,"636":1821,"637":1827,"638":1839,"639":1840,"640":1846,"641":1848,"642":1849,"643":1861,"644":1870,"645":1885,"646":1888,"647":1891,"649":1899,"650":1903,"651":1906,"652":1915,"653":1919,"654":1934,"655":1935,"656":1936,"657":1956,"658":1965,"659":1968,"660":1973,"661":1980,"662":2004,"663":2012,"664":2015,"665":2023,"666":2025,"667":2037},{"0":6,"1":21,"2":28,"3":29,"5":38,"6":56,"7":77,"10":94,"11":96,"12":97,"13":98,"14":103,"15":107,"16":115,"17":120,"18":122,"20":143,"21":159,"23":163,"24":166,"25":168,"26":177,"27":186,"29":193,"30":197,"31":198,"32":205,"35":212,"36":213,"37":218,"38":221,"39":225,"40":227,"41":230,"42":231,"43":233,"44":240,"45":244,"46":245,"47":246,"48":249,"49":251,"50":265,"51":268,"52":269,"53":273,"54":284,"55":285,"56":290,"57":296,"58":308,"60":311,"61":314,"62":331,"63":332,"64":334,"65":336,"66":337,"67":340,"68":341,"69":342,"70":343,"71":344,"72":345,"73":348,"74":350,"75":351,"76":352,"77":354,"78":355,"79":356,"80":358,"81":359,"82":360,"83":363,"84":366,"85":367,"86":369,"87":370,"88":371,"89":372,"90":373,"91":374,"92":376,"93":378,"94":380,"95":381,"96":382,"97":384,"98":385,"99":386,"100":387,"101":388,"102":389,"103":390,"104":391,"105":392,"106":394,"107":395,"108":396,"109":397,"110":398,"111":400,"112":401,"113":402,"114":403,"116":405,"117":407,"118":408,"119":410,"120":411,"121":412,"122":413,"123":414,"124":415,"125":416,"126":418,"127":419,"128":421,"129":423,"130":426,"131":427,"132":428,"133":429,"134":432,"135":433,"136":435,"137":437,"138":439,"139":441,"140":442,"141":443,"142":444,"143":445,"144":446,"145":447,"146":448,"147":450,"148":451,"149":452,"150":454,"151":455,"152":456,"153":457,"154":458,"155":459,"156":460,"157":462,"158":463,"159":465,"160":466,"161":468,"162":469,"163":470,"164":472,"165":473,"166":474,"167":475,"168":476,"169":477,"170":478,"171":479,"172":480,"173":481,"174":482,"175":484,"176":486,"177":487,"178":488,"179":490,"180":491,"181":493,"182":494,"183":495,"184":496,"185":497,"186":499,"187":500,"188":501,"189":502,"190":503,"192":505,"193":506,"194":507,"195":508,"196":509,"197":510,"199":531,"200":532,"202":549,"203":550,"204":551,"205":555,"206":556,"207":561,"208":566,"210":576,"211":586,"212":591,"213":600,"214":601,"215":602,"216":605,"217":610,"218":612,"219":617,"220":618,"221":623,"222":626,"223":627,"224":634,"225":644,"226":655,"227":658,"228":670,"229":671,"231":676,"233":707,"234":718,"235":728,"236":731,"237":736,"238":737,"239":750,"240":754,"241":762,"242":763,"243":764,"244":769,"245":772,"246":774,"247":775,"248":783,"249":784,"250":787,"251":788,"252":794,"253":795,"254":796,"255":799,"256":800,"257":801,"258":803,"259":811,"260":812,"261":827,"262":828,"263":833,"264":836,"265":839,"266":841,"267":842,"268":843,"269":844,"270":847,"271":850,"272":851,"273":852,"274":853,"275":854,"276":855,"277":857,"278":860,"279":862,"280":863,"281":865,"282":866,"283":868,"284":869,"285":870,"286":873,"287":875,"288":876,"289":879,"290":880,"291":881,"292":883,"293":884,"294":885,"295":886,"296":887,"297":888,"298":889,"299":891,"300":892,"301":893,"302":895,"303":896,"304":897,"305":902,"306":904,"307":905,"308":908,"309":909,"310":910,"311":911,"313":916,"314":919,"315":921,"316":922,"317":923,"318":924,"319":925,"320":926,"321":927,"322":928,"323":929,"324":930,"325":931,"326":933,"327":934,"328":935,"329":936,"330":940,"331":941,"332":942,"333":943,"334":946,"335":949,"336":950,"337":951,"338":952,"339":953,"340":958,"341":959,"342":961,"343":962,"344":963,"345":964,"346":965,"347":967,"348":968,"349":969,"350":970,"351":972,"352":974,"353":975,"355":978,"357":982,"358":983,"359":984,"360":985,"361":986,"362":987,"363":988,"364":989,"365":990,"366":991,"367":992,"368":993,"369":994,"370":995,"371":996,"372":997,"373":998,"374":999,"375":1000,"376":1001,"377":1002,"378":1003,"379":1004,"380":1005,"382":1008,"383":1009,"384":1010,"385":1014,"386":1015,"387":1016,"388":1018,"389":1022,"390":1029,"391":1044,"393":1052,"394":1058,"395":1070,"396":1075,"397":1078,"398":1087,"399":1095,"400":1097,"401":1098,"402":1099,"403":1103,"404":1106,"405":1112,"406":1123,"407":1152,"408":1158,"409":1175,"410":1181,"411":1182,"412":1187,"413":1195,"414":1205,"415":1206,"416":1211,"417":1220,"418":1234,"419":1239,"420":1242,"421":1251,"422":1255,"423":1258,"424":1261,"425":1268,"426":1280,"427":1282,"428":1288,"429":1297,"430":1303,"431":1304,"432":1309,"433":1319,"434":1323,"435":1348,"436":1353,"437":1359,"438":1362,"439":1378,"441":1381,"442":1387,"443":1396,"444":1397,"445":1403,"446":1405,"447":1426,"448":1428,"449":1431,"450":1432,"451":1434,"452":1441,"453":1448,"454":1449,"455":1459,"456":1465,"457":1472,"458":1473,"459":1478,"460":1480,"461":1485,"462":1490,"463":1494,"464":1508,"465":1509,"466":1518,"467":1520,"468":1523,"469":1525,"470":1527,"471":1528,"472":1537,"473":1540,"474":1544,"475":1556,"476":1558,"477":1578,"478":1590,"479":1605,"480":1607,"481":1609,"482":1612,"483":1632,"484":1640,"486":1651,"487":1666,"488":1671,"489":1676,"490":1680,"491":1683,"492":1685,"493":1687,"494":1691,"495":1697,"496":1702,"497":1708,"498":1714,"499":1717,"500":1723,"501":1731,"502":1738,"503":1751,"504":1761,"505":1765,"506":1772,"507":1780,"508":1782,"509":1795,"510":1798,"511":1816,"512":1824,"513":1830,"514":1838,"515":1842,"516":1850,"517":1854,"518":1855,"519":1863,"520":1868,"521":1869,"522":1871,"523":1873,"524":1876,"525":1878,"527":1881,"528":1897,"529":1923,"530":1932,"531":1937,"532":1940,"533":1951,"534":1963,"535":1984,"536":1993,"537":1995,"538":2000,"539":2001,"540":2005,"541":2013,"542":2016,"543":2021,"544":2028,"545":2033,"546":2038,"547":2041,"548":2046},{"0":35,"1":62,"2":104,"3":121,"4":123,"5":146,"6":149,"7":155,"8":330,"9":335,"10":338,"11":339,"12":346,"13":347,"14":349,"15":353,"16":357,"17":361,"18":364,"19":375,"20":379,"21":383,"22":393,"23":406,"24":409,"25":422,"26":424,"27":425,"28":430,"29":431,"30":434,"31":436,"32":438,"33":440,"34":449,"35":453,"36":461,"37":464,"38":467,"39":471,"40":483,"41":485,"42":489,"43":492,"44":498,"45":597,"46":633,"47":657,"48":680,"49":751,"50":760,"51":845,"52":846,"53":848,"54":856,"55":859,"56":861,"57":864,"58":871,"59":872,"60":874,"61":877,"62":878,"63":882,"64":890,"65":894,"66":898,"67":899,"68":901,"69":903,"70":906,"71":907,"72":912,"73":913,"74":915,"75":917,"76":918,"77":920,"78":932,"79":937,"80":938,"81":944,"82":945,"83":947,"84":948,"85":955,"86":957,"87":960,"88":966,"89":971,"90":973,"91":977,"92":980,"93":981,"94":1012,"95":1017,"96":1019,"97":1020,"98":1021,"99":1023,"100":1026,"101":1028,"102":1043,"103":1053,"104":1059,"105":1065,"106":1076,"107":1092,"108":1093,"110":1102,"111":1104,"112":1110,"113":1111,"115":1127,"116":1129,"117":1130,"118":1131,"119":1132,"120":1134,"123":1154,"124":1159,"125":1164,"126":1165,"127":1192,"128":1194,"129":1201,"130":1209,"131":1212,"132":1215,"133":1216,"134":1217,"136":1235,"137":1243,"138":1253,"139":1259,"140":1265,"141":1281,"142":1314,"143":1318,"144":1324,"145":1330,"146":1334,"148":1390,"149":1392,"150":1399,"151":1404,"152":1407,"153":1414,"154":1423,"155":1433,"156":1435,"157":1439,"158":1440,"159":1444,"160":1455,"162":1471,"163":1479,"165":1517,"166":1526,"167":1543,"168":1554,"169":1560,"170":1577,"171":1581,"172":1592,"173":1595,"174":1618,"175":1622,"177":1661,"178":1662,"179":1669,"180":1679,"181":1681,"182":1695,"184":1713,"185":1718,"186":1741,"187":1757,"188":1766,"189":1778,"190":1785,"191":1791,"192":1793,"193":1814,"194":1841,"195":1874,"196":1895,"197":1901,"198":1910,"201":1943,"202":1949,"203":1961,"204":1966,"205":1982,"206":1983,"207":1987,"208":1989,"209":1998,"210":2002,"211":2019,"212":2030,"213":2035},{"0":333,"1":362,"2":365,"3":368,"4":377,"5":399,"6":417,"7":420,"8":849,"9":858,"10":867,"11":900,"12":939,"13":954,"14":956,"15":1007,"16":1013,"17":1032,"18":1050,"19":1056,"20":1060,"21":1072,"22":1107,"23":1122,"24":1126,"27":1171,"28":1176,"29":1183,"30":1188,"31":1198,"32":1203,"33":1214,"34":1226,"35":1262,"36":1269,"37":1279,"38":1284,"41":1289,"42":1296,"43":1301,"44":1305,"45":1325,"46":1327,"47":1350,"48":1351,"49":1367,"52":1382,"53":1417,"54":1422,"55":1424,"56":1443,"57":1464,"58":1469,"59":1476,"60":1481,"62":1486,"63":1493,"64":1501,"65":1516,"67":1541,"68":1563,"69":1567,"70":1583,"71":1601,"72":1602,"73":1603,"74":1652,"75":1670,"76":1682,"77":1690,"78":1699,"79":1701,"80":1712,"81":1719,"82":1748,"83":1756,"84":1777,"85":1797,"86":1802,"87":1807,"88":1810,"89":1829,"90":1843,"91":1853,"92":1882,"93":1886,"94":1892,"95":1902,"96":1904,"98":1918,"99":1927,"100":1941,"101":1959,"102":1964,"103":1972,"104":2009,"105":2010,"106":2031,"107":2039,"108":2040},{"0":1011,"1":1064,"2":1096,"3":1121,"4":1133,"5":1135,"6":1149,"7":1150,"8":1163,"9":1172,"10":1204,"11":1208,"12":1223,"13":1232,"14":1248,"15":1266,"16":1278,"17":1291,"18":1310,"19":1312,"20":1342,"21":1344,"22":1347,"23":1354,"24":1357,"25":1373,"26":1394,"27":1406,"28":1415,"29":1420,"31":1436,"32":1447,"33":1458,"34":1499,"35":1506,"37":1534,"38":1565,"39":1568,"40":1582,"42":1591,"43":1593,"44":1604,"45":1623,"46":1625,"47":1646,"48":1656,"49":1657,"50":1706,"51":1729,"52":1750,"53":1754,"54":1775,"56":1789,"57":1806,"59":1825,"60":1835,"61":1864,"62":1884,"63":1913,"64":1924,"65":1926,"66":1938,"68":1954,"69":1962,"70":1969,"71":1971,"72":1981,"73":1985,"74":1992,"75":1996,"76":2007,"77":2018,"78":2026,"79":2032},{"0":1049,"2":1081,"3":1091,"4":1119,"5":1120,"6":1128,"7":1137,"8":1160,"9":1166,"10":1167,"11":1169,"12":1184,"13":1185,"14":1210,"15":1213,"16":1225,"17":1227,"18":1228,"19":1231,"21":1271,"22":1283,"23":1311,"24":1315,"25":1320,"26":1332,"28":1360,"29":1372,"30":1376,"32":1418,"33":1445,"35":1538,"36":1539,"37":1546,"38":1553,"40":1606,"41":1629,"42":1633,"43":1638,"44":1641,"45":1644,"47":1667,"48":1688,"50":1711,"51":1773,"52":1776,"53":1792,"54":1811,"55":1815,"56":1818,"57":1820,"58":1836,"59":1875,"60":1896,"61":1900,"62":1953,"63":1970,"64":1979,"65":1990,"66":2027,"67":2029},{"1":1041,"2":1051,"3":1055,"4":1069,"5":1086,"6":1148,"8":1168,"9":1191,"10":1200,"11":1274,"12":1275,"13":1328,"14":1340,"16":1358,"17":1383,"18":1401,"19":1421,"20":1454,"21":1484,"23":1515,"24":1536,"25":1552,"26":1566,"28":1574,"29":1600,"30":1621,"31":1626,"32":1677,"33":1692,"35":1700,"36":1720,"38":1759,"39":1768,"40":1769,"41":1801,"43":1837,"44":1844,"45":1851,"46":1858,"47":1859,"48":1865,"49":1867,"50":1872,"51":1920,"52":1944,"54":1977,"55":1978,"56":1991,"57":2020,"58":2034,"59":2043,"60":2047},{"0":1035,"1":1037,"2":1062,"3":1077,"4":1082,"5":1108,"6":1162,"8":1193,"9":1199,"10":1236,"11":1240,"12":1287,"13":1290,"14":1295,"15":1302,"16":1322,"17":1326,"19":1349,"21":1385,"22":1386,"23":1388,"24":1395,"26":1453,"27":1474,"28":1510,"29":1530,"30":1531,"31":1547,"32":1550,"34":1569,"35":1588,"36":1608,"37":1615,"38":1619,"40":1715,"41":1721,"42":1732,"46":1771,"47":1790,"48":1822,"49":1845,"50":1866,"52":1894,"53":1898,"54":1908,"55":1912,"56":1975,"57":2014,"58":2036},{"0":1042,"1":1067,"2":1085,"3":1140,"4":1142,"5":1143,"6":1144,"7":1256,"8":1292,"9":1300,"10":1307,"11":1355,"12":1365,"13":1366,"15":1430,"16":1463,"17":1488,"18":1492,"20":1511,"22":1513,"23":1514,"25":1555,"26":1557,"27":1559,"28":1564,"29":1586,"30":1597,"31":1599,"32":1614,"33":1616,"34":1649,"36":1665,"37":1675,"38":1707,"40":1752,"42":1764,"44":1784,"46":1803,"48":1826,"49":1828,"50":1834,"52":1860,"53":1909,"54":1911,"55":1921,"56":1930,"57":1933,"58":1960,"59":1976,"60":1997,"61":2006,"62":2024},{"3":1118,"4":1202,"5":1207,"6":1230,"7":1241,"8":1267,"9":1313,"10":1335,"11":1356,"12":1384,"14":1452,"17":1497,"18":1532,"19":1535,"20":1542,"21":1545,"22":1562,"24":1589,"25":1596,"29":1660,"30":1673,"33":1705,"34":1728,"38":1781,"39":1799,"41":1847,"43":1883,"45":1945,"46":1967,"47":1974,"50":2008,"51":2011,"53":2042},{"3":1038,"9":1125,"10":1180,"11":1222,"15":1412,"17":1438,"18":1470,"19":1477,"24":1598,"29":1672,"30":1686,"31":1725,"34":1800,"36":1852,"39":1942,"40":1946,"43":1958,"44":1994},{"0":1084,"4":1293,"6":1308,"15":1575,"18":1613,"21":1736,"22":1787,"24":1890,"28":1957},{"2":1190,"3":1249,"4":1250,"13":1653,"16":1735,"18":1856,"21":1939},{"7":1635},{"0":1027,"2":1073,"3":1244},[],[],[]]