[{"0":0,"3":6,"6":9,"7":10,"8":11,"10":13,"12":16,"14":19,"16":22,"17":23,"20":26,"22":28,"23":29,"25":31,"30":37,"32":40,"33":41,"35":43,"36":44,"38":46,"39":47,"40":49,"41":50,"46":55,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"53":63,"54":64,"59":71,"60":72,"62":74,"63":75,"65":78,"67":80,"69":82,"71":85,"72":86,"79":94,"80":95,"82":97,"83":98,"85":101,"87":103,"88":104,"89":106,"91":109,"92":113,"95":118,"96":119,"97":120,"98":121,"101":124,"102":125,"104":127,"105":128,"107":130,"108":132,"110":135,"112":137,"114":139,"116":142,"117":145,"121":151,"122":153,"123":158,"124":159,"125":162,"126":163,"129":168,"130":169,"132":171,"134":174,"136":178,"138":180,"140":183,"142":185,"143":186,"145":188,"149":194,"150":195,"152":198,"153":199,"156":203,"157":204,"158":205,"160":207,"163":211,"164":212,"165":213,"167":216,"168":217,"169":218,"171":221,"172":222,"175":226,"177":228,"178":230,"180":236,"182":239,"183":241,"184":242,"187":246,"189":249,"191":252,"193":254,"195":256,"199":261,"201":265,"202":266,"203":267,"204":268,"205":269,"206":270,"207":271,"209":273,"213":277,"214":278,"219":284,"220":285,"221":286,"222":287,"224":289,"225":290,"226":291,"229":297,"231":300,"232":301,"234":305,"235":306,"237":309,"238":310,"239":311,"243":315,"247":512,"248":514,"250":516,"253":520,"254":521,"256":524,"258":526,"259":527,"260":529,"262":531,"263":532,"264":533,"266":535,"268":537,"271":541,"272":542,"273":543,"274":544,"277":549,"283":559,"285":561,"286":563,"288":565,"289":566,"290":567,"292":569,"294":571,"295":572,"296":573,"300":577,"301":578,"302":579,"303":580,"304":581,"305":585,"307":588,"310":591,"312":593,"313":594,"314":595,"316":598,"317":599,"320":603,"322":605,"323":606,"331":615,"332":616,"333":617,"334":618,"337":621,"338":622,"340":624,"342":626,"347":635,"348":636,"349":637,"351":639,"352":640,"353":641,"354":642,"356":648,"360":653,"363":656,"364":657,"370":665,"371":666,"373":669,"374":670,"375":671,"376":672,"381":677,"382":678,"384":683,"385":685,"386":688,"387":689,"390":693,"393":697,"394":698,"397":704,"399":706,"403":711,"405":713,"407":716,"408":717,"409":718,"410":719,"413":723,"415":726,"416":729,"418":731,"419":733,"421":735,"423":737,"424":739,"427":743,"428":744,"429":745,"431":748,"432":749,"433":750,"434":751,"435":752,"437":755,"438":756,"441":759,"442":760,"443":761,"446":764,"448":766,"449":767,"453":773,"454":774,"456":777,"458":779,"459":782,"461":784,"464":788,"466":790,"468":793,"470":800,"472":802,"474":804,"475":806,"476":807,"478":809,"479":810,"482":813,"483":815,"492":825,"496":1033,"497":1047,"498":1049,"499":1085,"501":1089,"502":1094,"504":1115,"509":1146,"510":1148,"511":1149,"512":1150,"514":1164,"515":1174,"519":1207,"520":1221,"521":1228,"522":1231,"523":1236,"525":1255,"527":1265,"529":1298,"530":1303,"539":1366,"540":1372,"544":1386,"547":1438,"548":1455,"549":1466,"550":1472,"552":1474,"558":1525,"560":1542,"561":1547,"564":1559,"565":1573,"566":1588,"568":1613,"570":1625,"577":1658,"578":1677,"580":1708,"587":1789,"589":1809,"592":1842,"594":1847,"598":1872,"601":1890,"602":1894,"603":1903,"604":1907,"606":1919,"607":1924,"608":1933,"611":1954,"612":1957,"613":1971,"614":1983,"621":2024,"623":2039},{"0":1,"2":4,"4":17,"5":20,"6":33,"7":39,"8":48,"9":62,"10":68,"12":83,"15":105,"16":108,"18":111,"20":116,"22":131,"23":133,"25":143,"26":144,"28":149,"29":154,"30":155,"31":156,"32":157,"34":161,"41":190,"44":201,"47":220,"49":229,"50":231,"51":232,"57":248,"59":257,"63":294,"66":302,"70":321,"74":327,"75":328,"76":329,"79":333,"80":334,"81":335,"83":338,"84":340,"85":341,"87":345,"88":346,"89":348,"92":351,"93":352,"96":356,"100":363,"105":369,"106":371,"107":373,"108":374,"113":380,"114":381,"121":394,"133":413,"140":423,"141":424,"142":425,"144":427,"145":428,"146":430,"147":431,"148":432,"149":434,"153":438,"154":443,"155":445,"157":447,"161":453,"162":455,"165":460,"168":464,"170":467,"172":470,"176":476,"179":480,"182":483,"183":484,"185":486,"186":487,"187":488,"188":489,"189":490,"191":492,"193":494,"194":495,"195":498,"198":504,"200":508,"202":510,"203":513,"209":554,"212":562,"214":583,"215":584,"216":587,"217":597,"219":611,"222":633,"224":643,"225":644,"226":646,"228":661,"230":668,"237":695,"241":720,"242":725,"245":732,"246":738,"247":740,"249":754,"250":768,"251":770,"260":798,"261":805,"262":814,"268":833,"270":835,"271":837,"275":841,"276":842,"279":846,"281":848,"282":849,"283":850,"293":861,"294":862,"295":863,"296":864,"298":867,"299":868,"303":872,"308":877,"313":886,"315":888,"316":889,"319":895,"320":897,"321":898,"322":899,"323":900,"324":901,"326":903,"328":906,"329":907,"338":920,"339":922,"341":925,"342":926,"345":929,"347":931,"348":932,"352":936,"354":939,"357":946,"358":947,"361":955,"362":957,"363":958,"366":962,"367":963,"378":975,"382":982,"384":985,"389":990,"390":992,"393":995,"395":1000,"399":1007,"401":1009,"405":1016,"406":1017,"407":1018,"409":1020,"410":1021,"411":1022,"413":1025,"415":1041,"416":1046,"419":1069,"420":1073,"424":1084,"426":1098,"427":1106,"428":1107,"432":1147,"438":1187,"441":1206,"442":1212,"447":1294,"450":1304,"451":1309,"454":1313,"457":1341,"461":1359,"462":1361,"466":1390,"467":1399,"470":1415,"472":1431,"484":1517,"485":1519,"491":1541,"494":1563,"496":1572,"498":1584,"499":1589,"500":1596,"501":1597,"502":1611,"503":1624,"504":1630,"506":1644,"509":1672,"510":1674,"511":1691,"515":1705,"518":1722,"520":1729,"527":1775,"529":1792,"530":1794,"533":1806,"537":1831,"538":1833,"539":1838,"540":1840,"541":1845,"544":1856,"548":1874,"549":1875,"554":1892,"555":1896,"556":1899,"558":1906,"559":1938,"565":1974,"570":2014,"571":2032},{"2":283,"4":325,"10":347,"12":358,"16":379,"17":383,"18":386,"19":387,"22":397,"24":403,"25":405,"30":419,"31":420,"32":429,"33":433,"38":448,"39":452,"41":457,"43":463,"44":466,"45":468,"49":499,"50":502,"52":505,"54":511,"57":645,"58":679,"62":836,"63":844,"64":854,"66":879,"67":881,"68":882,"69":884,"70":890,"74":905,"75":908,"76":911,"77":913,"80":924,"82":940,"85":950,"86":951,"88":956,"89":959,"96":997,"97":998,"98":1001,"99":1002,"100":1006,"101":1014,"103":1030,"104":1032,"108":1066,"113":1096,"115":1130,"116":1134,"117":1138,"119":1155,"120":1167,"128":1247,"130":1251,"131":1259,"134":1273,"135":1277,"136":1282,"137":1286,"138":1290,"143":1336,"146":1371,"154":1408,"155":1414,"160":1435,"162":1447,"164":1450,"165":1457,"167":1470,"168":1483,"172":1536,"173":1546,"174":1551,"175":1556,"185":1600,"192":1629,"194":1643,"196":1679,"197":1684,"199":1699,"202":1707,"203":1710,"205":1744,"206":1751,"209":1786,"210":1790,"215":1802,"216":1804,"217":1807,"220":1826,"224":1860,"225":1863,"226":1884,"228":1902,"229":1904,"233":1929,"234":1940,"237":1979,"239":2001,"240":2010,"241":2016,"243":2021,"245":2040},{"2":372,"5":475,"10":967,"11":1012,"12":1031,"13":1045,"14":1053,"15":1067,"16":1068,"17":1097,"21":1126,"22":1139,"23":1159,"24":1165,"27":1215,"29":1223,"30":1224,"31":1232,"33":1263,"35":1291,"36":1296,"37":1308,"38":1316,"40":1332,"41":1333,"43":1337,"45":1340,"46":1370,"47":1402,"48":1418,"49":1440,"50":1441,"52":1446,"53":1454,"54":1465,"57":1544,"58":1557,"59":1602,"60":1623,"64":1717,"65":1731,"67":1747,"68":1754,"70":1758,"71":1776,"73":1783,"76":1797,"78":1815,"79":1818,"80":1823,"81":1825,"82":1830,"84":1849,"85":1857,"86":1861,"87":1865,"88":1888,"90":1923,"91":1927,"92":1935,"93":1943,"95":1953,"96":1959,"97":1969,"98":1977,"100":1985,"101":1987,"102":1999,"104":2006,"105":2011,"106":2015,"107":2023,"108":2025,"110":2036},{"0":1034,"1":1043,"2":1050,"3":1056,"4":1080,"5":1087,"6":1102,"7":1120,"9":1161,"13":1225,"15":1227,"18":1343,"19":1346,"20":1355,"21":1365,"22":1378,"23":1421,"24":1423,"26":1434,"27":1481,"28":1501,"30":1505,"31":1523,"32":1527,"33":1550,"34":1564,"35":1598,"36":1610,"38":1638,"40":1660,"42":1680,"43":1682,"44":1685,"45":1695,"46":1715,"47":1718,"48":1759,"53":1816,"55":1850,"56":1876,"59":1914,"62":1949,"63":1962,"64":1963,"66":1981,"68":1997,"70":2035},{"0":1027,"2":1058,"4":1061,"6":1111,"8":1114,"9":1144,"11":1171,"12":1197,"13":1222,"14":1267,"15":1270,"16":1283,"17":1285,"18":1293,"19":1317,"20":1367,"21":1385,"22":1411,"24":1430,"25":1487,"26":1489,"27":1509,"28":1510,"29":1518,"30":1530,"31":1552,"33":1585,"34":1586,"36":1601,"37":1620,"39":1666,"40":1668,"41":1683,"42":1732,"44":1769,"45":1793,"47":1834,"48":1836,"49":1912,"50":1926,"54":1990,"55":2022},{"0":1042,"1":1044,"2":1072,"5":1104,"6":1116,"7":1117,"8":1160,"9":1182,"10":1193,"11":1244,"12":1250,"15":1339,"16":1354,"17":1363,"18":1381,"23":1570,"24":1580,"25":1603,"26":1604,"27":1607,"28":1626,"29":1636,"31":1656,"32":1663,"33":1671,"35":1678,"40":1757,"41":1770,"42":1829,"43":1837,"44":1864,"47":1901,"48":1946},{"0":1037,"1":1052,"3":1101,"4":1122,"5":1131,"6":1136,"8":1190,"9":1201,"12":1279,"13":1300,"14":1331,"15":1352,"16":1393,"18":1406,"19":1413,"25":1615,"26":1650,"28":1657,"29":1665,"30":1690,"31":1696,"32":1740,"35":1811,"39":1913,"40":1922,"41":1931,"43":1960,"44":1966,"46":1991,"47":2026,"48":2031},{"3":1151,"4":1158,"5":1163,"6":1177,"7":1199,"8":1242,"9":1246,"11":1268,"12":1278,"14":1369,"18":1405,"20":1445,"23":1484,"24":1500,"26":1524,"28":1540,"29":1553,"30":1574,"31":1578,"33":1587,"35":1621,"36":1637,"37":1646,"41":1673,"42":1703,"43":1711,"46":1742,"48":1813,"49":1819,"50":1846,"52":1920,"55":1945,"57":1994},{"1":1039,"7":1128,"9":1157,"12":1214,"17":1289,"18":1306,"19":1315,"20":1318,"22":1335,"23":1356,"24":1387,"25":1400,"26":1442,"27":1463,"28":1467,"30":1488,"35":1687,"38":1787,"39":1835,"41":1915,"44":2017,"47":2045},{"4":1176,"5":1185,"6":1345,"7":1368,"8":1392,"10":1422,"12":1475,"13":1495,"16":1534,"17":1548,"20":1575,"21":1609,"22":1616,"28":1895,"29":1921,"30":1930},{"0":1064,"1":1100,"3":1249,"4":1257,"7":1284,"8":1329,"9":1412,"13":1511,"16":1654,"19":1713,"20":1723,"21":1724,"23":1961,"25":2029,"26":2033},{"1":1133,"2":1168,"4":1258,"5":1302,"7":1344,"9":1428,"12":1478,"13":1492,"16":1760},{"1":1178,"2":1209,"3":1260,"4":1560,"7":1719,"8":1727,"9":1762,"11":1873,"12":1916,"13":1988},{"0":1092,"1":1112,"2":1140,"3":1200,"4":1364,"5":1459,"7":1579,"8":1591,"12":1937,"14":2003,"16":2018},{"2":1099,"3":1186,"4":1205,"5":1208,"6":1262,"7":1382},{"0":1063,"1":1191,"2":1216,"3":1234,"4":1235,"7":1360,"8":1486,"9":1520,"10":1739,"11":1750,"12":1763,"13":1841,"15":1905,"16":1998},{"0":1060,"1":1079,"2":1124,"4":1217,"5":1254,"6":1305,"8":1479,"9":1648,"10":1788},{"0":1210,"2":1911},[]]