[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"10":10,"11":11,"12":13,"15":18,"16":19,"17":20,"18":21,"19":23,"21":25,"22":26,"23":27,"24":28,"26":30,"27":31,"28":32,"29":33,"30":35,"31":38,"32":39,"33":41,"35":43,"36":44,"37":45,"38":47,"39":48,"40":49,"43":52,"44":53,"45":54,"46":55,"47":56,"48":57,"49":58,"50":59,"51":60,"52":62,"53":63,"54":64,"55":65,"56":66,"57":67,"60":70,"61":71,"62":72,"64":74,"65":75,"66":77,"67":78,"68":79,"69":80,"70":83,"71":85,"72":86,"73":88,"74":89,"75":90,"76":91,"77":92,"78":94,"79":95,"80":96,"81":97,"82":98,"83":99,"84":100,"85":101,"86":102,"87":103,"88":106,"89":107,"90":109,"92":111,"93":112,"94":113,"95":114,"96":115,"97":116,"100":119,"101":120,"102":121,"103":122,"105":124,"106":125,"108":127,"109":128,"110":129,"111":130,"112":131,"113":132,"115":134,"116":135,"117":137,"118":138,"119":139,"120":140,"121":143,"122":144,"123":145,"124":146,"126":148,"127":150,"128":151,"129":152,"130":153,"131":154,"132":155,"133":156,"136":159,"137":160,"138":161,"139":162,"141":164,"142":165,"143":167,"145":169,"146":170,"147":171,"148":172,"149":173,"150":174,"153":177,"154":178,"155":179,"156":180,"157":181,"158":183,"159":184,"160":185,"161":187,"162":189,"163":190,"164":191,"165":192,"166":193,"167":195,"168":196,"169":197,"170":198,"171":199,"172":200,"173":203,"174":204,"175":205,"176":206,"177":208,"178":209,"179":211,"180":212,"181":213,"182":214,"184":216,"185":217,"186":218,"187":220,"188":222,"189":223,"190":224,"192":226,"193":227,"194":228,"195":229,"196":230,"197":231,"198":232,"199":233,"200":236,"201":237,"202":238,"203":240,"204":241,"205":242,"206":244,"207":245,"208":246,"209":248,"210":249,"211":251,"212":252,"213":253,"214":254,"215":255,"217":258,"218":259,"219":260,"220":262,"221":263,"222":264,"223":265,"224":266,"225":267,"226":269,"227":271,"228":273,"229":274,"230":275,"231":276,"232":277,"233":279,"234":281,"235":283,"236":285,"237":286,"238":287,"240":513,"241":514,"242":515,"243":516,"244":517,"245":518,"246":519,"249":523,"250":524,"251":525,"252":526,"253":527,"254":528,"256":530,"257":531,"258":532,"259":533,"260":534,"262":537,"263":538,"264":539,"265":540,"266":542,"267":544,"268":545,"270":547,"271":548,"272":551,"273":552,"274":553,"275":557,"276":558,"277":559,"278":560,"279":561,"281":564,"282":565,"283":566,"284":567,"285":568,"287":571,"289":575,"290":576,"291":577,"292":578,"293":579,"294":580,"296":583,"297":584,"298":585,"300":588,"301":590,"302":591,"303":594,"304":595,"305":596,"306":599,"307":601,"308":602,"309":605,"310":606,"311":607,"312":608,"313":609,"314":611,"315":612,"316":613,"317":614,"318":615,"319":617,"320":618,"321":620,"322":621,"323":622,"324":623,"325":624,"326":625,"327":626,"328":627,"329":628,"332":631,"333":632,"334":633,"335":634,"336":635,"338":637,"341":640,"342":642,"343":643,"344":644,"345":645,"347":647,"348":648,"350":651,"351":652,"352":653,"354":655,"355":656,"356":657,"357":658,"358":659,"359":660,"360":661,"361":662,"362":663,"363":664,"364":665,"365":667,"366":668,"367":669,"370":672,"371":674,"373":676,"374":677,"376":681,"377":682,"378":683,"379":684,"380":685,"381":686,"384":689,"385":690,"386":691,"388":693,"390":695,"391":696,"392":700,"393":701,"394":702,"395":703,"396":704,"397":705,"398":706,"399":707,"400":708,"401":709,"402":710,"403":712,"404":713,"405":714,"406":715,"407":716,"408":717,"409":719,"410":720,"412":722,"413":723,"414":724,"415":725,"416":726,"417":727,"418":728,"419":729,"420":730,"421":731,"422":732,"423":733,"424":734,"425":735,"426":736,"427":738,"428":739,"429":740,"430":742,"431":743,"432":744,"433":745,"434":746,"435":747,"436":748,"437":749,"438":751,"440":754,"441":755,"443":759,"444":760,"445":761,"446":762,"447":763,"448":764,"449":765,"450":767,"451":769,"452":770,"453":771,"455":774,"456":775,"457":776,"458":778,"459":779,"460":780,"461":781,"462":782,"463":783,"464":785,"465":786,"467":789,"468":793,"469":795,"470":797,"471":798,"473":1035,"474":1036,"475":1050,"476":1051,"477":1076,"478":1090,"479":1101,"480":1113,"481":1114,"482":1120,"483":1121,"484":1123,"485":1156,"486":1159,"487":1161,"488":1163,"489":1170,"490":1172,"491":1180,"492":1183,"493":1186,"494":1214,"495":1216,"496":1238,"497":1245,"498":1263,"499":1283,"500":1284,"501":1323,"502":1329,"503":1335,"504":1338,"505":1342,"506":1352,"507":1363,"508":1364,"509":1376,"510":1379,"511":1395,"512":1396,"513":1411,"514":1413,"515":1419,"516":1420,"517":1430,"518":1436,"519":1440,"520":1447,"521":1457,"523":1474,"524":1476,"525":1477,"526":1479,"527":1486,"528":1487,"529":1489,"530":1499,"531":1502,"532":1506,"534":1525,"535":1538,"536":1564,"537":1576,"538":1586,"539":1588,"540":1603,"541":1610,"542":1611,"543":1614,"544":1623,"545":1626,"546":1627,"547":1644,"548":1656,"549":1662,"550":1668,"551":1689,"552":1693,"553":1699,"554":1710,"555":1715,"556":1717,"557":1729,"560":1740,"561":1754,"562":1756,"563":1758,"564":1768,"565":1771,"566":1796,"567":1798,"568":1803,"569":1807,"570":1817,"571":1820,"572":1823,"573":1824,"574":1834,"575":1835,"576":1846,"577":1852,"578":1865,"579":1866,"580":1883,"581":1885,"582":1900,"583":1902,"586":1946,"587":1953,"588":1956,"589":1959,"590":1970,"591":1972,"592":1978,"593":1982,"594":1996,"595":2004,"596":2013,"597":2016,"598":2018,"599":2020,"600":2029},{"0":12,"1":15,"2":17,"3":34,"4":36,"5":37,"6":40,"9":76,"10":81,"11":82,"12":84,"14":104,"15":105,"16":136,"17":142,"18":149,"19":166,"20":182,"21":201,"22":202,"23":207,"24":210,"25":221,"26":235,"27":239,"28":243,"30":250,"31":256,"32":261,"33":268,"34":270,"35":272,"36":278,"37":282,"38":284,"39":288,"41":290,"43":300,"44":301,"45":302,"47":305,"48":306,"49":307,"50":308,"51":309,"52":310,"53":311,"54":313,"55":314,"56":315,"57":317,"58":318,"59":320,"61":324,"62":325,"64":328,"66":330,"68":332,"69":334,"70":336,"71":341,"72":342,"73":343,"74":346,"75":347,"76":348,"79":353,"80":356,"81":358,"82":359,"83":360,"84":361,"85":362,"86":364,"87":366,"89":369,"90":373,"91":374,"92":375,"93":377,"94":378,"95":380,"96":383,"98":385,"99":386,"100":387,"101":388,"102":389,"103":391,"104":392,"105":393,"106":394,"107":395,"108":396,"109":397,"110":399,"111":401,"112":402,"113":403,"114":404,"115":405,"116":406,"117":408,"118":409,"119":411,"120":412,"121":413,"122":416,"123":417,"124":418,"125":422,"126":423,"127":424,"128":425,"129":426,"130":427,"131":429,"134":440,"135":443,"136":444,"137":445,"138":446,"139":447,"142":450,"145":455,"146":456,"147":458,"148":459,"150":461,"151":462,"152":463,"153":465,"154":466,"155":467,"156":468,"158":473,"159":474,"160":476,"161":479,"163":483,"164":485,"165":488,"166":489,"167":492,"169":494,"170":496,"171":497,"172":499,"173":500,"174":501,"176":506,"177":507,"178":509,"179":510,"180":520,"181":535,"182":543,"183":550,"184":555,"185":556,"187":574,"188":582,"190":589,"191":592,"192":597,"193":598,"194":600,"195":603,"196":604,"197":610,"198":616,"199":619,"200":641,"201":666,"202":673,"203":678,"204":679,"205":697,"206":698,"207":699,"208":711,"209":718,"210":737,"211":741,"212":750,"213":753,"214":757,"215":758,"216":766,"217":768,"218":772,"219":777,"220":784,"221":788,"222":790,"223":791,"224":792,"225":794,"226":796,"227":799,"228":802,"229":805,"231":807,"232":811,"234":813,"235":814,"236":817,"237":818,"238":820,"239":822,"240":824,"241":825,"242":826,"243":827,"244":828,"245":830,"246":831,"247":832,"248":833,"249":836,"250":837,"251":839,"252":840,"253":843,"255":849,"256":850,"257":851,"258":852,"259":854,"260":855,"262":859,"263":862,"264":863,"265":865,"266":866,"267":869,"269":871,"270":872,"271":873,"272":874,"273":875,"274":876,"275":877,"276":878,"278":881,"279":882,"280":883,"281":884,"282":886,"283":889,"284":890,"285":891,"286":893,"287":895,"289":898,"290":899,"291":900,"292":903,"294":906,"295":909,"297":913,"298":916,"299":917,"300":918,"301":919,"302":921,"303":924,"304":928,"305":929,"306":931,"307":933,"308":934,"309":936,"310":937,"311":938,"312":939,"313":940,"314":941,"316":944,"317":946,"318":949,"319":950,"322":955,"323":956,"324":959,"325":961,"326":962,"327":963,"328":964,"329":965,"330":967,"331":968,"332":970,"334":972,"335":973,"336":974,"337":977,"338":978,"339":979,"340":980,"341":982,"342":986,"343":989,"344":990,"345":992,"347":995,"348":996,"349":997,"350":998,"351":999,"352":1001,"353":1003,"354":1004,"355":1005,"356":1006,"357":1007,"358":1008,"359":1009,"360":1011,"361":1014,"362":1015,"363":1016,"364":1017,"365":1018,"366":1019,"367":1020,"368":1032,"369":1045,"370":1070,"371":1081,"372":1088,"373":1106,"374":1107,"375":1122,"376":1126,"377":1136,"378":1144,"379":1167,"380":1175,"381":1178,"382":1179,"383":1185,"384":1198,"385":1211,"386":1217,"387":1222,"388":1229,"389":1239,"390":1252,"391":1257,"392":1270,"393":1273,"394":1279,"395":1281,"396":1286,"397":1293,"398":1298,"399":1303,"400":1307,"401":1308,"402":1315,"403":1318,"404":1326,"405":1330,"406":1333,"407":1340,"408":1353,"409":1354,"410":1359,"411":1378,"412":1382,"413":1387,"414":1391,"415":1397,"416":1438,"417":1442,"418":1448,"419":1462,"420":1470,"421":1478,"422":1492,"423":1494,"424":1495,"425":1496,"426":1508,"428":1510,"429":1511,"430":1512,"431":1531,"432":1543,"434":1577,"435":1602,"436":1606,"437":1615,"438":1617,"439":1620,"440":1624,"441":1630,"442":1647,"443":1658,"445":1663,"447":1670,"448":1675,"449":1682,"450":1686,"451":1697,"454":1753,"455":1769,"456":1770,"457":1772,"458":1779,"459":1782,"460":1787,"462":1802,"463":1819,"464":1822,"465":1833,"466":1839,"467":1847,"468":1851,"469":1855,"470":1859,"471":1871,"472":1875,"473":1887,"474":1889,"475":1893,"476":1894,"478":1903,"479":1904,"480":1910,"481":1911,"482":1916,"483":1950,"485":1980,"486":1985,"487":1992,"488":2014,"489":2038,"490":2039,"491":2043,"493":2047},{"0":22,"1":87,"2":108,"3":141,"4":186,"5":188,"6":194,"7":219,"8":234,"9":280,"10":291,"11":297,"12":298,"13":299,"14":303,"15":312,"16":316,"17":319,"18":323,"19":326,"20":333,"21":335,"22":337,"23":339,"24":340,"25":344,"26":345,"27":349,"28":352,"29":354,"30":355,"31":357,"32":365,"33":367,"34":370,"35":371,"36":372,"37":376,"38":381,"39":382,"40":398,"41":400,"42":407,"43":410,"44":415,"45":419,"46":420,"47":421,"48":428,"49":431,"50":432,"51":434,"52":435,"53":436,"54":437,"55":438,"56":457,"57":470,"59":472,"60":475,"61":477,"62":478,"63":481,"64":482,"65":484,"66":486,"67":490,"68":491,"69":498,"70":502,"71":503,"72":505,"73":508,"74":511,"75":541,"76":549,"77":554,"78":593,"79":649,"80":801,"81":804,"82":808,"83":810,"84":815,"85":816,"86":819,"87":821,"88":823,"89":829,"90":834,"91":835,"92":838,"93":841,"94":842,"95":846,"96":847,"97":848,"98":853,"99":857,"100":858,"101":860,"102":861,"103":867,"104":868,"105":885,"106":887,"107":888,"108":892,"109":894,"110":901,"111":902,"112":904,"113":907,"114":908,"115":910,"116":911,"117":915,"118":922,"119":923,"120":925,"121":926,"123":932,"125":943,"126":945,"127":947,"128":948,"129":951,"130":957,"131":960,"132":969,"134":983,"135":984,"136":987,"137":991,"138":994,"139":1000,"140":1002,"141":1010,"142":1012,"143":1021,"144":1022,"145":1026,"146":1041,"148":1062,"149":1069,"150":1072,"151":1080,"152":1093,"153":1095,"154":1112,"155":1116,"156":1119,"157":1127,"158":1133,"161":1143,"162":1155,"163":1164,"164":1181,"165":1187,"166":1191,"167":1196,"168":1207,"169":1215,"170":1219,"171":1226,"172":1228,"173":1231,"174":1241,"175":1242,"176":1247,"177":1253,"178":1256,"179":1260,"181":1269,"182":1276,"183":1285,"184":1305,"185":1317,"186":1322,"187":1346,"188":1349,"189":1351,"190":1356,"191":1368,"193":1392,"194":1403,"195":1414,"197":1418,"198":1428,"199":1429,"200":1431,"201":1432,"202":1433,"203":1437,"204":1444,"205":1452,"206":1485,"207":1501,"208":1503,"210":1523,"211":1546,"212":1549,"213":1552,"214":1554,"215":1582,"216":1585,"217":1590,"219":1594,"220":1596,"221":1601,"222":1612,"223":1619,"224":1628,"225":1636,"226":1677,"227":1678,"228":1683,"229":1685,"230":1695,"231":1707,"232":1711,"235":1792,"236":1808,"237":1821,"238":1830,"239":1831,"240":1854,"242":1876,"243":1881,"244":1886,"245":1892,"246":1907,"247":1912,"248":1914,"250":1921,"251":1929,"252":1940,"253":1971,"255":1986,"256":1991,"257":1993,"258":1998,"261":2030},{"0":292,"1":294,"2":295,"3":296,"4":322,"5":338,"6":363,"7":379,"8":390,"9":414,"10":430,"11":441,"12":442,"13":452,"14":464,"15":487,"16":495,"17":570,"18":572,"19":803,"20":809,"21":844,"22":864,"23":879,"24":897,"25":914,"26":920,"27":927,"28":954,"29":958,"30":966,"31":975,"32":981,"33":985,"34":988,"35":1013,"36":1023,"37":1031,"39":1037,"40":1039,"41":1040,"43":1055,"44":1058,"45":1059,"46":1066,"47":1067,"48":1084,"49":1092,"50":1103,"51":1105,"52":1109,"53":1110,"54":1117,"55":1118,"56":1130,"58":1174,"60":1194,"61":1197,"63":1205,"64":1234,"65":1235,"66":1240,"67":1248,"68":1259,"69":1271,"70":1274,"71":1288,"72":1301,"73":1310,"74":1311,"75":1316,"76":1320,"77":1345,"78":1377,"79":1389,"80":1393,"81":1404,"82":1427,"83":1434,"84":1453,"86":1498,"87":1504,"88":1513,"89":1518,"90":1527,"91":1540,"93":1579,"94":1581,"95":1604,"97":1609,"98":1616,"99":1637,"100":1652,"101":1653,"102":1667,"103":1679,"104":1694,"105":1696,"106":1701,"107":1704,"108":1708,"111":1721,"112":1723,"113":1728,"114":1735,"115":1736,"116":1741,"117":1742,"118":1744,"119":1745,"120":1752,"121":1759,"122":1783,"123":1795,"124":1800,"125":1801,"126":1809,"127":1811,"128":1813,"129":1826,"131":1856,"132":1861,"133":1872,"134":1874,"135":1890,"136":1891,"137":1913,"138":1923,"139":1941,"140":1961,"141":1963,"142":1966,"143":1984,"144":1987,"145":2000,"146":2015,"147":2027,"148":2031,"150":2037,"151":2045},{"0":453,"1":1024,"2":1027,"3":1030,"6":1083,"7":1085,"8":1132,"9":1147,"10":1177,"11":1189,"12":1192,"13":1199,"15":1202,"16":1218,"17":1220,"18":1221,"19":1227,"20":1232,"21":1233,"23":1272,"24":1282,"25":1297,"26":1299,"27":1300,"28":1331,"29":1343,"30":1348,"31":1355,"32":1357,"33":1365,"34":1373,"36":1385,"37":1400,"38":1407,"39":1412,"40":1425,"41":1426,"42":1439,"43":1459,"44":1460,"45":1466,"47":1469,"48":1488,"49":1490,"50":1561,"51":1567,"52":1569,"53":1570,"54":1571,"55":1584,"56":1599,"57":1629,"58":1639,"59":1643,"60":1649,"61":1650,"62":1659,"63":1681,"64":1688,"65":1713,"68":1727,"69":1734,"70":1750,"71":1755,"72":1767,"73":1774,"74":1785,"75":1810,"76":1828,"77":1832,"79":1853,"81":1863,"82":1873,"83":1879,"84":1898,"85":1908,"86":1931,"87":1933,"88":1938,"89":1943,"90":1945,"91":1947,"92":1948,"93":1957,"94":1958,"95":1975,"96":1977,"97":2001,"98":2003,"100":2042,"101":2046},{"0":1034,"1":1042,"2":1046,"3":1047,"5":1054,"6":1056,"7":1075,"8":1094,"9":1115,"11":1152,"12":1224,"13":1251,"15":1278,"16":1280,"18":1295,"19":1304,"20":1344,"21":1361,"22":1362,"23":1366,"26":1417,"28":1456,"29":1468,"30":1481,"33":1517,"34":1521,"35":1526,"37":1547,"38":1551,"39":1559,"40":1562,"41":1563,"42":1566,"43":1574,"44":1587,"45":1595,"46":1597,"47":1613,"48":1635,"49":1641,"50":1651,"51":1661,"52":1664,"54":1691,"55":1706,"56":1718,"57":1719,"58":1720,"59":1762,"60":1786,"62":1818,"64":1842,"65":1858,"66":1906,"67":1928,"69":1960,"70":1968,"71":1981,"72":2002,"73":2022,"74":2023,"75":2026},{"0":1038,"1":1044,"2":1068,"3":1074,"4":1077,"5":1087,"6":1100,"7":1104,"9":1138,"10":1142,"11":1145,"12":1146,"13":1148,"14":1149,"15":1151,"17":1165,"18":1166,"19":1176,"20":1184,"22":1201,"23":1225,"24":1250,"26":1287,"29":1334,"30":1360,"31":1370,"33":1394,"34":1406,"36":1415,"37":1461,"41":1530,"42":1532,"43":1541,"44":1542,"45":1553,"46":1556,"47":1565,"48":1572,"49":1573,"51":1631,"53":1700,"54":1761,"56":1775,"57":1776,"58":1804,"59":1869,"60":1870,"61":1888,"62":1901,"63":1942,"67":1983,"68":2012,"69":2040},{"0":1025,"1":1029,"2":1053,"4":1097,"5":1111,"7":1129,"8":1135,"9":1158,"11":1173,"12":1203,"13":1266,"14":1267,"16":1313,"17":1319,"18":1350,"19":1401,"21":1450,"22":1463,"23":1483,"24":1491,"26":1535,"27":1618,"28":1621,"30":1645,"32":1657,"33":1671,"34":1716,"35":1726,"36":1749,"38":1765,"39":1780,"41":1788,"42":1789,"43":1805,"45":1815,"46":1848,"47":1867,"48":1877,"49":1905,"54":2011,"55":2025,"56":2035,"57":2036},{"0":1078,"2":1124,"3":1125,"4":1169,"5":1190,"6":1246,"9":1309,"10":1314,"14":1381,"16":1422,"17":1435,"20":1458,"22":1507,"23":1529,"26":1548,"27":1560,"29":1633,"31":1642,"32":1646,"33":1684,"34":1702,"35":1705,"37":1794,"38":1838,"39":1844,"40":1860,"41":1878,"43":1924,"46":1954,"47":1976,"48":1995,"49":2005,"51":2033},{"0":1061,"1":1064,"5":1082,"6":1089,"9":1210,"12":1244,"13":1249,"15":1258,"16":1262,"17":1264,"18":1292,"21":1423,"26":1578,"27":1592,"29":1648,"30":1673,"31":1692,"32":1724,"33":1760,"34":1790,"35":1814,"36":1829,"39":1962,"41":1988,"42":2007},{"1":1099,"3":1141,"4":1154,"5":1195,"6":1206,"7":1223,"11":1341,"13":1390,"18":1464,"19":1524,"20":1539,"21":1555,"23":1583,"24":1591,"28":1680,"30":1746,"32":1773,"33":1793,"38":2028},{"2":1091,"3":1098,"4":1188,"5":1213,"8":1369,"9":1375,"10":1386,"11":1421,"12":1449,"13":1473,"14":1500,"15":1580,"16":1665,"17":1674,"19":1733,"21":1840,"24":1937,"25":1965,"26":1990,"27":1997,"28":2034,"29":2041},{"0":1150,"1":1153,"2":1212,"3":1268,"4":1289,"5":1325,"6":1374,"7":1455,"8":1514,"9":1625,"10":1634,"11":1690,"12":1698,"13":1738,"14":1757,"16":1791,"17":1825,"18":1837,"19":1862,"21":1917},{"0":1140,"1":1347,"3":1537,"5":1589,"7":1676,"9":1845,"10":1895,"12":1967,"13":1974,"14":1999},{"0":1265,"1":1778,"2":1880,"4":1915,"5":1934,"6":1969,"7":1994},{"0":1291,"1":1324,"2":1388,"3":1445,"4":1519,"6":1709,"7":1930},[1073,1102,1171,1493,1927,2009],[1424,1568,1632,1766,2024],[1208,1327]]