[{"0":0,"1":1,"2":2,"3":3,"6":9,"7":12,"8":14,"10":16,"11":17,"12":18,"13":19,"14":20,"15":21,"16":23,"17":24,"18":25,"20":27,"22":29,"23":30,"24":31,"25":32,"26":33,"27":36,"28":37,"29":38,"30":42,"34":46,"35":47,"40":53,"43":56,"44":57,"47":60,"49":62,"53":67,"54":68,"59":74,"61":77,"62":79,"63":81,"67":85,"70":88,"72":90,"74":92,"76":94,"77":95,"80":98,"81":99,"82":101,"83":102,"86":105,"87":108,"91":115,"93":119,"95":121,"98":124,"99":125,"104":132,"105":133,"106":134,"110":138,"112":142,"114":144,"120":151,"122":153,"123":154,"124":155,"126":158,"127":159,"132":165,"133":167,"134":168,"135":169,"137":171,"139":173,"146":180,"149":183,"151":188,"152":189,"155":193,"158":198,"161":203,"163":205,"164":206,"165":207,"167":212,"169":214,"170":216,"171":217,"173":219,"174":220,"175":222,"176":223,"182":231,"184":233,"185":234,"187":236,"188":237,"189":238,"190":239,"191":240,"192":241,"193":242,"194":243,"195":244,"200":250,"201":251,"205":256,"207":258,"209":260,"212":264,"215":267,"217":272,"219":274,"222":277,"223":279,"226":282,"227":283,"228":284,"229":285,"232":288,"234":290,"235":292,"236":293,"245":306,"246":307,"248":309,"249":310,"253":315,"254":316,"256":319,"257":321,"258":322,"262":327,"265":330,"267":333,"268":334,"270":337,"271":338,"273":343,"276":347,"278":349,"280":353,"282":355,"284":358,"285":360,"286":361,"292":370,"296":374,"298":376,"300":378,"302":380,"303":381,"304":382,"307":385,"311":390,"313":393,"314":395,"315":396,"316":397,"317":398,"324":512,"325":513,"326":514,"328":516,"329":517,"331":519,"332":520,"333":521,"334":522,"337":525,"338":526,"341":531,"342":532,"343":533,"346":536,"347":537,"350":540,"351":541,"352":542,"355":545,"357":547,"359":549,"360":551,"362":554,"364":557,"366":559,"368":561,"369":562,"370":564,"371":566,"372":567,"374":569,"376":573,"377":575,"378":576,"380":578,"381":579,"382":580,"383":581,"384":582,"386":585,"389":589,"390":590,"391":591,"396":596,"400":600,"402":602,"403":603,"404":604,"409":611,"410":612,"415":618,"416":619,"417":620,"418":621,"419":622,"420":623,"422":625,"424":627,"425":628,"428":631,"430":634,"431":636,"434":642,"438":650,"439":651,"440":652,"442":655,"446":660,"448":662,"449":664,"450":665,"451":666,"452":668,"454":670,"459":676,"461":679,"462":680,"466":685,"468":688,"471":691,"472":692,"474":694,"475":695,"476":696,"477":697,"478":698,"480":700,"481":701,"483":703,"484":705,"485":706,"486":707,"489":714,"491":716,"494":720,"495":721,"496":722,"497":725,"498":726,"500":728,"503":731,"506":738,"507":739,"508":740,"510":743,"511":744,"512":745,"514":747,"515":748,"517":750,"518":751,"519":752,"520":753,"523":757,"524":758,"526":760,"529":763,"531":765,"533":768,"536":772,"538":774,"539":776,"540":778,"541":779,"543":781,"546":786,"549":790,"550":791,"551":792,"552":793,"554":796,"556":798,"558":800,"559":804,"560":805,"561":806,"562":807,"568":813,"570":815,"572":817,"574":820,"575":821,"576":823,"577":824,"582":834,"584":836,"586":838,"587":839,"589":841,"590":843,"596":851,"598":855,"601":858,"605":863,"606":864,"607":865,"611":870,"613":872,"614":875,"619":882,"625":889,"627":892,"631":896,"632":898,"633":900,"634":901,"636":903,"638":905,"649":1035,"652":1051,"653":1053,"657":1073,"658":1074,"662":1095,"664":1099,"665":1102,"666":1105,"668":1108,"669":1113,"672":1120,"677":1138,"682":1188,"683":1189,"685":1197,"693":1218,"694":1222,"695":1231,"696":1246,"697":1249,"698":1253,"702":1288,"703":1290,"704":1294,"705":1296,"706":1298,"715":1363,"718":1371,"728":1411,"729":1412,"732":1431,"734":1441,"735":1452,"736":1455,"741":1472,"744":1487,"748":1509,"751":1546,"753":1557,"754":1561,"755":1568,"756":1574,"757":1580,"761":1596,"766":1623,"767":1625,"769":1630,"773":1647,"775":1657,"783":1714,"788":1746,"791":1760,"802":1809,"804":1813,"807":1822,"808":1825,"812":1848,"817":1864,"818":1873,"821":1890,"824":1905,"828":1931,"832":1966,"835":1983,"838":1992,"839":1997,"840":2008,"845":2038,"847":2044},{"2":7,"4":13,"5":22,"6":34,"7":35,"11":52,"13":69,"14":78,"18":112,"19":113,"21":118,"26":148,"28":160,"30":185,"34":194,"35":197,"39":210,"41":215,"42":221,"49":269,"51":278,"53":296,"56":318,"57":320,"58":323,"63":346,"68":364,"74":403,"76":409,"77":410,"80":413,"81":415,"85":421,"87":425,"88":427,"92":436,"94":439,"97":442,"99":446,"100":447,"102":449,"103":450,"104":451,"106":453,"108":455,"109":456,"110":457,"112":460,"114":462,"118":470,"124":479,"125":480,"126":481,"128":483,"130":485,"132":487,"135":491,"139":496,"140":497,"142":503,"146":508,"149":550,"152":563,"154":571,"155":572,"158":588,"162":633,"164":639,"172":663,"177":686,"181":712,"185":732,"190":756,"192":769,"194":783,"196":795,"198":802,"203":828,"204":831,"205":832,"208":846,"210":860,"212":874,"214":880,"215":890,"218":906,"220":908,"225":920,"226":921,"227":922,"230":927,"233":932,"234":934,"235":935,"237":937,"238":939,"244":949,"247":952,"252":959,"253":960,"255":962,"258":966,"259":967,"260":968,"261":969,"262":970,"268":981,"269":982,"270":983,"272":985,"276":989,"278":991,"279":992,"280":993,"282":995,"283":996,"284":997,"285":1001,"287":1003,"288":1004,"289":1005,"290":1006,"291":1007,"293":1010,"296":1015,"297":1016,"298":1017,"305":1032,"307":1036,"308":1042,"309":1044,"310":1046,"314":1052,"319":1101,"322":1143,"323":1145,"325":1151,"327":1157,"328":1164,"329":1167,"331":1172,"333":1182,"334":1185,"338":1196,"341":1212,"345":1224,"346":1227,"347":1229,"350":1237,"351":1238,"355":1261,"356":1263,"357":1266,"359":1278,"362":1297,"363":1310,"364":1320,"365":1324,"367":1330,"368":1338,"369":1344,"377":1361,"378":1365,"379":1368,"382":1389,"385":1404,"387":1419,"390":1434,"392":1440,"393":1442,"394":1447,"398":1484,"399":1489,"400":1500,"401":1513,"406":1526,"409":1536,"413":1547,"415":1550,"418":1562,"422":1583,"424":1598,"426":1626,"427":1635,"428":1637,"429":1643,"432":1655,"433":1666,"435":1673,"436":1677,"440":1691,"443":1698,"444":1704,"447":1717,"449":1725,"450":1728,"452":1750,"453":1751,"454":1758,"455":1761,"456":1765,"459":1784,"461":1787,"462":1788,"466":1823,"468":1829,"470":1841,"471":1843,"474":1876,"475":1880,"478":1911,"479":1917,"483":1934,"485":1942,"487":1951,"488":1958,"491":1965,"492":1970,"495":1979,"496":1980,"498":1982,"500":1989,"504":2016,"506":2027,"507":2029,"508":2031,"510":2033,"511":2035,"512":2036,"514":2041},{"1":75,"2":80,"4":304,"5":340,"9":417,"10":420,"12":424,"13":426,"14":428,"17":433,"18":434,"22":463,"23":465,"25":469,"26":473,"30":495,"35":504,"37":510,"38":528,"44":873,"49":931,"50":933,"52":940,"54":945,"56":957,"58":973,"59":976,"63":1008,"65":1013,"68":1026,"70":1060,"71":1063,"72":1084,"75":1112,"76":1121,"79":1148,"81":1153,"82":1156,"83":1165,"85":1178,"88":1206,"90":1264,"91":1274,"92":1285,"94":1303,"98":1329,"99":1353,"100":1355,"102":1362,"107":1410,"108":1421,"109":1427,"110":1436,"113":1458,"114":1459,"115":1461,"116":1463,"121":1494,"123":1498,"124":1504,"125":1508,"128":1555,"129":1556,"130":1560,"131":1572,"135":1592,"137":1610,"138":1613,"140":1621,"141":1627,"142":1638,"143":1640,"145":1648,"146":1649,"148":1663,"149":1664,"150":1678,"151":1680,"152":1683,"153":1689,"154":1693,"156":1707,"161":1734,"164":1752,"167":1795,"169":1802,"176":1834,"177":1835,"178":1838,"179":1853,"182":1878,"186":1914,"187":1915,"189":1920,"192":1938,"194":1984,"195":1991,"198":2002,"199":2004,"203":2018,"204":2019},{"6":974,"8":1068,"11":1103,"12":1110,"13":1160,"14":1180,"15":1190,"17":1194,"18":1199,"19":1228,"20":1241,"21":1252,"22":1279,"24":1286,"25":1299,"26":1313,"29":1356,"30":1370,"32":1387,"33":1391,"34":1392,"35":1414,"36":1425,"37":1430,"39":1449,"41":1453,"45":1503,"46":1505,"47":1534,"48":1552,"52":1605,"53":1611,"54":1615,"56":1631,"58":1651,"59":1653,"61":1688,"65":1756,"67":1781,"68":1840,"71":1897,"72":1909,"73":1925,"74":1941,"75":1949,"76":1957,"77":1962,"81":2001,"82":2007,"83":2039},{"0":1054,"1":1058,"3":1086,"4":1142,"5":1147,"7":1155,"8":1203,"9":1223,"13":1265,"15":1284,"17":1295,"18":1309,"19":1323,"21":1342,"22":1347,"23":1384,"24":1386,"25":1397,"26":1400,"27":1402,"28":1413,"30":1443,"31":1450,"32":1464,"33":1493,"34":1510,"35":1517,"37":1527,"38":1532,"40":1549,"42":1609,"44":1618,"45":1629,"46":1642,"47":1672,"48":1700,"49":1702,"50":1706,"51":1719,"54":1757,"56":1805,"58":1837,"59":1855,"60":1861,"61":1879,"62":1886,"64":1950,"66":1964,"68":1993,"69":1994,"70":1995,"71":2009,"72":2010,"73":2017,"74":2037},{"0":1061,"2":1092,"3":1124,"4":1131,"6":1170,"7":1198,"8":1210,"9":1240,"10":1257,"11":1262,"12":1275,"13":1302,"14":1322,"16":1388,"17":1393,"18":1432,"19":1471,"20":1492,"22":1523,"23":1554,"25":1590,"26":1607,"28":1612,"29":1636,"31":1661,"32":1662,"33":1708,"34":1729,"35":1730,"37":1744,"39":1762,"40":1764,"41":1766,"43":1811,"45":1836,"47":1872,"48":1904,"50":1933,"53":1972,"54":2011,"56":2046},{"0":1039,"1":1045,"2":1047,"6":1104,"7":1115,"8":1134,"9":1161,"10":1175,"11":1177,"12":1187,"13":1202,"14":1230,"16":1244,"17":1248,"18":1254,"19":1276,"20":1282,"22":1292,"24":1315,"25":1334,"27":1350,"28":1408,"30":1479,"31":1491,"32":1496,"33":1506,"35":1524,"36":1528,"37":1539,"39":1641,"40":1682,"41":1686,"42":1710,"43":1715,"45":1741,"46":1783,"47":1790,"48":1798,"49":1815,"50":1862,"51":1871,"53":1912,"54":1939,"55":1945,"56":1969},{"1":1055,"3":1100,"5":1126,"6":1162,"7":1168,"8":1211,"9":1225,"11":1245,"14":1383,"15":1405,"16":1473,"19":1538,"21":1564,"23":1578,"25":1594,"26":1675,"30":1807,"31":1816,"32":1819,"33":1856,"34":1887,"36":1902,"37":1913,"38":1924,"39":1953,"40":1977,"42":2006,"43":2021,"44":2023},{"0":1065,"1":1069,"2":1071,"3":1075,"4":1114,"6":1140,"7":1141,"8":1268,"9":1326,"10":1328,"11":1346,"12":1358,"14":1401,"16":1439,"17":1482,"20":1577,"21":1671,"22":1703,"24":1797,"25":1800,"29":1869,"30":1885,"33":1908,"34":1926,"35":1936,"36":1948,"37":2015},{"0":1076,"1":1116,"5":1205,"6":1219,"7":1226,"8":1235,"9":1258,"11":1300,"13":1312,"15":1409,"16":1428,"17":1445,"20":1516,"21":1537,"22":1597,"23":1713,"26":1748,"27":1749,"28":1768,"29":1846,"30":1851,"31":1858,"32":1867,"34":1937,"35":1988},{"0":1066,"1":1135,"2":1144,"3":1270,"4":1332,"6":1378,"7":1446,"8":1454,"9":1457,"10":1582,"13":1659,"14":1670,"15":1743,"17":1780,"18":1804,"20":1859,"21":1963},{"0":1078,"1":1082,"2":1088,"3":1098,"4":1137,"5":1169,"6":1183,"7":1239,"8":1306,"9":1423,"10":1478,"11":1501,"12":1566,"13":1573,"14":1658,"15":1679,"16":1773,"17":1865,"19":1946},{"1":1034,"2":1260,"3":1316,"4":1343,"5":1385,"6":1469,"7":1511,"8":1545,"9":1559,"10":1589,"11":1593,"12":1600,"13":1847,"14":1881,"15":2003},[1056,1173,1271,1339,1681,1875,1884,1893,1895,1919,1943],{"1":1163,"3":1415,"5":1692},[1311,1624,1759,1772,1827],[1038,1585],[]]