[{"0":1,"2":3,"4":6,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"13":16,"14":17,"15":18,"16":19,"18":21,"19":23,"20":24,"21":25,"22":26,"23":28,"24":30,"25":31,"26":32,"27":33,"29":35,"30":36,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":48,"40":49,"41":50,"42":51,"43":52,"44":53,"45":55,"47":57,"48":58,"49":59,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":69,"58":70,"59":72,"60":73,"61":74,"62":75,"63":76,"64":77,"65":79,"66":80,"67":82,"68":83,"69":84,"70":85,"71":86,"72":87,"73":88,"74":89,"75":90,"76":92,"77":93,"78":94,"80":96,"81":97,"82":98,"83":99,"84":100,"85":101,"86":102,"88":104,"90":106,"91":107,"92":108,"93":109,"94":110,"95":113,"96":114,"97":115,"98":116,"99":117,"100":118,"101":119,"102":120,"103":121,"104":122,"105":123,"106":124,"107":127,"108":128,"109":129,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":136,"117":137,"119":139,"120":140,"122":142,"123":144,"124":145,"126":147,"128":149,"130":152,"131":153,"132":154,"133":155,"134":156,"135":158,"137":160,"138":161,"139":162,"140":163,"141":164,"142":166,"143":167,"144":168,"145":169,"146":170,"148":172,"149":173,"150":174,"151":175,"152":176,"153":178,"154":179,"155":181,"158":184,"159":185,"160":186,"161":187,"162":188,"163":189,"164":190,"165":192,"166":193,"167":194,"168":195,"169":197,"170":198,"171":199,"172":200,"173":201,"174":202,"175":203,"176":206,"177":207,"178":208,"179":209,"180":212,"181":213,"182":214,"184":216,"185":217,"186":218,"187":219,"188":220,"189":221,"190":223,"192":225,"193":230,"194":231,"195":232,"196":233,"197":235,"198":236,"199":237,"200":239,"201":240,"202":241,"203":242,"204":243,"205":244,"206":245,"207":246,"208":247,"209":248,"210":250,"211":252,"212":253,"213":254,"214":255,"215":259,"217":264,"218":265,"219":266,"221":268,"222":270,"223":271,"224":272,"225":273,"226":274,"227":275,"228":276,"229":277,"230":278,"231":279,"232":281,"233":282,"234":283,"235":284,"236":285,"237":287,"238":288,"239":289,"240":290,"242":292,"243":293,"244":294,"245":298,"246":299,"247":300,"248":301,"249":302,"250":303,"251":304,"252":305,"253":306,"254":307,"255":308,"256":310,"258":313,"259":314,"260":315,"261":316,"262":317,"263":318,"264":319,"265":320,"266":321,"267":322,"268":323,"270":325,"271":327,"272":328,"273":329,"274":335,"276":339,"277":340,"278":341,"279":342,"280":343,"281":344,"282":346,"283":347,"284":348,"285":349,"287":351,"288":352,"289":512,"290":513,"291":514,"293":516,"294":517,"295":518,"296":519,"297":520,"298":521,"299":524,"300":525,"301":526,"302":527,"303":529,"304":530,"305":531,"307":533,"308":535,"309":536,"311":538,"312":539,"313":540,"315":542,"316":543,"317":544,"318":547,"319":548,"320":549,"321":550,"322":552,"323":553,"324":554,"325":555,"326":559,"327":561,"328":562,"329":564,"330":565,"331":566,"332":567,"333":568,"334":569,"335":570,"336":571,"337":572,"339":575,"340":576,"342":578,"343":581,"344":582,"345":583,"346":585,"348":587,"349":588,"350":589,"351":591,"352":592,"353":593,"354":594,"355":595,"357":597,"358":598,"359":599,"360":600,"361":601,"362":602,"363":603,"364":604,"365":605,"367":607,"368":609,"369":611,"370":612,"371":614,"372":615,"373":616,"374":617,"375":618,"376":619,"377":621,"378":622,"379":623,"380":624,"381":625,"382":627,"383":628,"384":629,"385":630,"386":631,"387":632,"388":633,"389":634,"390":636,"391":637,"392":639,"393":640,"394":641,"395":642,"396":643,"397":644,"398":645,"399":646,"401":650,"402":651,"403":652,"404":653,"405":655,"406":657,"407":658,"408":659,"409":660,"410":661,"412":663,"413":664,"414":665,"415":667,"416":668,"417":669,"418":670,"419":671,"420":673,"421":674,"422":675,"423":677,"424":679,"426":681,"427":682,"428":683,"430":686,"431":687,"432":688,"433":689,"434":690,"435":691,"436":692,"437":694,"438":695,"439":699,"440":700,"441":701,"442":706,"443":707,"444":709,"445":710,"447":713,"448":714,"449":715,"450":716,"451":717,"453":719,"454":720,"455":721,"457":725,"458":726,"459":727,"460":728,"462":730,"463":732,"464":733,"466":735,"467":736,"468":737,"469":738,"470":739,"471":740,"472":744,"473":745,"474":747,"476":749,"477":750,"478":751,"480":754,"481":755,"482":756,"483":757,"484":758,"485":760,"486":761,"487":763,"488":764,"489":766,"490":768,"491":769,"492":770,"493":772,"494":773,"495":774,"496":775,"497":776,"498":777,"499":778,"500":779,"501":780,"502":781,"503":783,"504":784,"505":785,"506":786,"507":787,"508":788,"509":789,"510":791,"512":793,"513":795,"514":796,"515":797,"516":798,"517":799,"518":800,"519":802,"520":803,"521":804,"522":805,"523":806,"524":808,"525":809,"526":810,"528":813,"529":814,"530":816,"531":817,"532":818,"533":819,"534":821,"535":822,"536":823,"537":824,"538":825,"539":826,"540":827,"541":828,"542":829,"543":831,"544":832,"545":833,"546":836,"547":837,"548":840,"549":841,"550":843,"551":844,"552":845,"553":848,"554":849,"555":850,"556":851,"557":852,"558":853,"559":854,"560":855,"561":856,"562":857,"563":858,"564":859,"565":860,"566":861,"567":863,"568":865,"569":1027,"570":1031,"571":1047,"572":1049,"573":1050,"574":1061,"575":1064,"576":1067,"577":1073,"578":1077,"579":1078,"580":1080,"581":1082,"582":1086,"583":1093,"585":1112,"586":1118,"587":1135,"588":1138,"589":1152,"590":1153,"591":1159,"592":1166,"593":1174,"594":1176,"595":1181,"596":1184,"597":1185,"598":1193,"599":1198,"600":1200,"601":1203,"602":1217,"603":1226,"604":1229,"605":1235,"606":1248,"607":1252,"608":1268,"609":1269,"610":1275,"611":1277,"612":1283,"613":1284,"614":1307,"615":1319,"616":1326,"617":1346,"618":1354,"620":1363,"621":1375,"622":1381,"623":1385,"624":1389,"625":1393,"626":1411,"627":1414,"628":1418,"629":1421,"630":1428,"631":1437,"632":1446,"633":1451,"634":1462,"635":1464,"636":1474,"637":1498,"638":1502,"639":1511,"640":1529,"641":1535,"642":1546,"643":1556,"644":1561,"645":1576,"646":1580,"647":1583,"648":1588,"649":1590,"650":1602,"651":1616,"652":1618,"653":1619,"654":1623,"655":1624,"656":1628,"657":1633,"658":1637,"659":1643,"660":1655,"661":1657,"662":1669,"663":1671,"665":1682,"667":1690,"668":1706,"669":1731,"670":1745,"671":1752,"672":1756,"673":1759,"674":1760,"675":1768,"676":1774,"678":1784,"679":1785,"680":1791,"681":1797,"682":1798,"683":1802,"684":1815,"685":1818,"686":1830,"687":1831,"688":1848,"689":1852,"690":1853,"691":1863,"692":1865,"693":1871,"694":1874,"695":1875,"696":1887,"697":1911,"698":1918,"699":1919,"700":1921,"701":1931,"702":1933,"703":1942,"704":1945,"705":1948,"706":1962,"707":1966,"708":1968,"709":1974,"710":1977,"711":1982,"712":1992,"713":1998,"714":2003,"715":2007,"717":2029,"718":2032,"719":2039,"720":2040,"721":2041},{"1":5,"2":14,"3":22,"5":29,"6":37,"7":38,"8":47,"9":54,"10":60,"11":68,"12":71,"13":78,"16":111,"17":112,"18":125,"19":126,"20":143,"21":150,"22":157,"23":165,"24":177,"25":180,"26":191,"29":205,"30":211,"31":222,"32":226,"33":227,"34":228,"35":229,"37":249,"39":256,"40":257,"41":258,"42":261,"43":262,"44":269,"45":280,"46":286,"47":295,"48":296,"49":297,"50":309,"51":312,"52":326,"54":331,"55":333,"57":337,"58":338,"59":345,"60":353,"61":355,"63":357,"64":358,"66":363,"67":364,"68":365,"69":366,"70":367,"71":368,"72":370,"73":371,"74":372,"75":373,"76":375,"77":376,"78":377,"79":379,"80":380,"81":381,"82":382,"83":384,"84":385,"85":386,"86":387,"87":388,"88":390,"89":391,"90":392,"91":394,"94":397,"95":398,"96":400,"97":401,"99":404,"100":405,"101":407,"102":408,"103":409,"104":411,"105":412,"106":413,"107":416,"108":417,"109":418,"110":419,"111":422,"112":423,"113":424,"116":428,"117":429,"118":431,"119":432,"120":433,"121":435,"122":436,"123":437,"124":440,"125":441,"126":444,"127":445,"128":446,"129":447,"130":448,"131":449,"132":450,"133":452,"134":453,"136":455,"137":458,"138":459,"139":460,"140":461,"141":462,"142":463,"143":464,"144":465,"145":467,"146":468,"147":469,"148":471,"149":473,"150":475,"151":476,"152":478,"153":479,"154":480,"155":481,"156":482,"157":483,"158":484,"159":485,"160":486,"161":487,"163":490,"164":492,"165":493,"166":494,"167":495,"168":498,"169":499,"170":500,"171":504,"172":505,"173":506,"174":508,"175":509,"176":510,"177":511,"178":522,"179":523,"180":528,"181":534,"183":551,"184":556,"185":557,"186":558,"187":560,"189":574,"190":579,"191":580,"193":590,"194":608,"195":610,"196":613,"197":620,"198":626,"199":635,"200":638,"201":647,"202":648,"203":654,"204":656,"205":666,"206":672,"208":678,"209":684,"210":693,"211":697,"212":698,"213":702,"214":703,"215":704,"216":705,"217":708,"218":711,"219":722,"220":723,"221":731,"223":743,"224":746,"225":753,"226":759,"227":762,"228":765,"229":767,"230":771,"231":782,"232":790,"233":794,"234":801,"236":812,"237":815,"238":820,"239":830,"240":834,"241":835,"242":838,"243":839,"244":842,"245":846,"246":847,"247":862,"248":864,"249":866,"251":869,"252":871,"253":872,"254":873,"255":874,"256":876,"257":877,"258":879,"259":880,"260":881,"261":882,"262":883,"263":884,"264":885,"265":886,"266":887,"267":888,"268":889,"269":890,"270":893,"271":894,"272":895,"273":896,"274":897,"275":898,"276":899,"277":900,"278":901,"279":902,"280":903,"282":907,"283":908,"284":909,"285":910,"286":911,"287":913,"288":914,"289":915,"291":917,"292":920,"293":921,"294":923,"295":924,"296":925,"297":926,"298":927,"299":928,"300":929,"301":930,"302":931,"303":932,"304":933,"305":934,"306":935,"307":936,"310":941,"311":942,"312":943,"313":944,"314":945,"315":946,"316":947,"317":948,"318":949,"319":950,"321":953,"322":954,"323":955,"324":956,"326":958,"328":960,"329":961,"330":962,"331":963,"332":964,"334":966,"335":968,"336":969,"337":970,"338":971,"339":972,"340":973,"341":975,"342":977,"343":978,"344":979,"345":981,"346":982,"347":983,"349":986,"350":987,"351":990,"353":993,"354":994,"355":995,"356":996,"357":997,"358":998,"359":1000,"360":1002,"361":1003,"362":1004,"363":1005,"364":1006,"365":1007,"366":1008,"367":1010,"368":1012,"369":1013,"370":1014,"371":1015,"372":1018,"373":1019,"374":1020,"376":1022,"377":1035,"378":1043,"379":1053,"380":1055,"381":1057,"382":1063,"383":1074,"384":1076,"385":1089,"386":1102,"387":1103,"388":1119,"389":1120,"390":1125,"391":1126,"392":1132,"393":1133,"394":1144,"395":1156,"396":1167,"397":1171,"398":1173,"399":1191,"400":1194,"401":1195,"402":1196,"403":1208,"404":1216,"405":1221,"406":1223,"407":1224,"408":1227,"409":1228,"410":1233,"411":1236,"412":1257,"413":1258,"414":1264,"415":1267,"416":1274,"417":1289,"418":1292,"420":1329,"421":1331,"422":1332,"423":1343,"424":1355,"425":1361,"426":1372,"427":1374,"428":1377,"429":1383,"430":1392,"431":1408,"432":1413,"433":1419,"434":1434,"435":1440,"436":1447,"438":1450,"439":1452,"440":1457,"441":1458,"442":1471,"443":1483,"444":1485,"445":1487,"446":1489,"447":1492,"448":1504,"449":1510,"450":1514,"451":1515,"452":1519,"453":1524,"454":1539,"455":1551,"456":1557,"458":1562,"459":1570,"460":1571,"461":1575,"462":1584,"463":1585,"464":1595,"465":1605,"466":1625,"467":1634,"468":1636,"469":1642,"470":1646,"471":1650,"472":1660,"473":1661,"474":1664,"475":1676,"476":1678,"477":1705,"478":1712,"479":1720,"480":1726,"481":1728,"482":1730,"483":1733,"484":1765,"485":1783,"486":1789,"487":1799,"488":1800,"489":1816,"490":1817,"491":1823,"492":1832,"493":1836,"494":1837,"495":1840,"496":1851,"497":1854,"498":1867,"499":1876,"500":1878,"501":1884,"502":1891,"503":1896,"504":1904,"505":1909,"506":1913,"507":1923,"508":1934,"509":1939,"510":1950,"511":1952,"512":1956,"513":1957,"514":1970,"515":1980,"516":1990,"517":2000,"518":2019,"519":2035,"520":2047},{"0":210,"1":238,"2":263,"3":332,"4":354,"5":360,"6":362,"8":374,"9":378,"10":383,"11":389,"12":393,"13":399,"14":402,"15":406,"16":410,"17":414,"18":415,"19":420,"20":421,"21":427,"22":430,"23":434,"24":438,"25":442,"26":443,"27":451,"28":456,"29":457,"30":466,"31":470,"32":472,"33":474,"34":477,"35":488,"36":491,"37":497,"38":501,"39":502,"40":503,"41":507,"42":546,"43":696,"44":741,"46":870,"47":875,"48":878,"49":891,"50":892,"51":904,"52":905,"54":918,"55":919,"56":922,"57":938,"58":952,"59":967,"60":974,"61":976,"62":980,"63":985,"64":988,"65":989,"66":992,"67":999,"68":1001,"69":1009,"70":1011,"73":1023,"74":1030,"75":1046,"76":1056,"77":1058,"78":1060,"79":1070,"80":1071,"81":1083,"82":1095,"83":1096,"84":1111,"85":1115,"86":1130,"87":1141,"89":1165,"90":1177,"91":1212,"92":1219,"93":1225,"94":1246,"95":1256,"96":1259,"97":1273,"98":1276,"99":1291,"100":1293,"101":1308,"102":1309,"103":1314,"104":1318,"105":1323,"106":1337,"107":1342,"108":1345,"109":1348,"110":1351,"111":1352,"112":1365,"113":1369,"114":1370,"115":1379,"116":1412,"117":1423,"118":1444,"119":1453,"120":1478,"121":1480,"123":1491,"124":1493,"125":1503,"126":1518,"128":1537,"129":1541,"130":1549,"131":1555,"132":1560,"133":1567,"134":1569,"135":1577,"136":1578,"137":1579,"138":1581,"139":1587,"140":1608,"141":1609,"142":1621,"143":1635,"144":1638,"145":1644,"146":1662,"148":1692,"149":1693,"151":1724,"152":1738,"153":1744,"154":1753,"155":1755,"156":1771,"158":1779,"159":1795,"160":1796,"161":1809,"162":1814,"163":1821,"164":1828,"165":1855,"166":1879,"167":1893,"168":1910,"170":1937,"171":1965,"172":1969,"173":1976,"174":1987,"175":1993,"176":1994,"177":2006,"178":2008,"179":2009,"180":2010,"181":2014,"182":2015,"185":2024,"186":2025,"187":2043},{"0":361,"1":439,"2":496,"3":940,"4":1039,"5":1090,"6":1094,"7":1106,"8":1127,"9":1139,"11":1161,"12":1162,"13":1180,"14":1187,"15":1189,"16":1240,"17":1247,"18":1254,"19":1260,"20":1263,"21":1272,"22":1280,"23":1295,"24":1298,"25":1300,"26":1320,"27":1333,"28":1336,"29":1339,"30":1364,"31":1380,"32":1394,"33":1402,"34":1403,"35":1406,"36":1430,"37":1431,"38":1439,"39":1441,"40":1442,"41":1460,"42":1497,"43":1499,"44":1505,"45":1508,"46":1526,"48":1538,"49":1544,"50":1552,"51":1553,"52":1565,"53":1572,"54":1586,"56":1607,"58":1629,"59":1647,"60":1659,"61":1673,"62":1687,"63":1699,"65":1722,"66":1746,"67":1769,"68":1793,"69":1808,"70":1811,"71":1858,"72":1869,"73":1894,"74":1902,"75":1905,"76":1932,"77":1946,"78":1955,"79":1967,"80":1978,"81":1988,"83":1996,"84":2027,"85":2034,"86":2036,"87":2037,"89":2045},{"0":1044,"1":1045,"3":1092,"4":1098,"5":1122,"6":1148,"7":1155,"8":1178,"10":1245,"11":1262,"12":1265,"13":1278,"14":1303,"15":1310,"16":1312,"17":1321,"19":1341,"20":1366,"21":1407,"22":1429,"23":1459,"24":1463,"25":1466,"26":1469,"27":1513,"28":1523,"29":1563,"31":1591,"32":1592,"33":1596,"34":1653,"35":1668,"36":1697,"38":1715,"39":1719,"40":1735,"41":1748,"42":1750,"43":1754,"44":1764,"45":1775,"47":1824,"48":1825,"49":1827,"50":1839,"51":1850,"52":1856,"53":1859,"54":1873,"56":1889,"57":1895,"58":1898,"59":1908,"60":1925,"61":1928,"62":1959,"63":1960,"64":1983,"65":1986,"66":2001,"67":2038},{"0":1025,"2":1101,"3":1107,"4":1114,"5":1151,"7":1204,"8":1230,"10":1243,"11":1253,"12":1281,"13":1296,"14":1315,"16":1358,"17":1368,"18":1382,"19":1425,"21":1436,"23":1454,"24":1477,"25":1501,"26":1517,"27":1521,"28":1536,"30":1598,"31":1599,"32":1610,"33":1617,"34":1632,"35":1651,"36":1654,"38":1677,"39":1685,"40":1696,"41":1707,"42":1710,"45":1758,"46":1762,"47":1770,"48":1807,"49":1820,"50":1861,"51":1877,"52":1885,"53":1892,"55":1915,"56":1922,"57":1927,"58":1940,"59":1972,"60":1973,"61":1991,"62":1995,"64":2046},{"0":1033,"1":1036,"2":1041,"3":1048,"4":1051,"6":1068,"8":1075,"9":1085,"10":1108,"12":1123,"13":1136,"14":1145,"15":1158,"18":1183,"19":1190,"21":1209,"22":1215,"23":1232,"25":1271,"26":1282,"28":1302,"29":1306,"30":1316,"31":1330,"32":1334,"33":1378,"35":1399,"36":1400,"37":1409,"38":1410,"39":1416,"40":1417,"41":1424,"43":1443,"44":1456,"46":1470,"47":1475,"48":1479,"49":1481,"50":1484,"51":1486,"52":1490,"54":1542,"55":1545,"56":1548,"57":1554,"58":1582,"60":1648,"62":1658,"63":1667,"65":1716,"66":1739,"68":1761,"69":1763,"71":1786,"73":1790,"75":1862,"76":1883,"77":1907,"78":1941,"79":1944,"81":1964,"82":1971,"83":1975,"85":1984,"87":2005,"88":2012,"89":2016},{"0":1026,"1":1028,"2":1038,"3":1066,"4":1079,"6":1099,"7":1105,"8":1110,"9":1172,"10":1175,"11":1186,"12":1201,"13":1214,"14":1238,"15":1239,"17":1279,"18":1286,"19":1311,"21":1344,"22":1359,"23":1386,"24":1390,"25":1395,"26":1438,"27":1496,"28":1507,"30":1525,"31":1527,"32":1534,"33":1564,"34":1566,"35":1589,"37":1611,"38":1613,"39":1626,"41":1670,"44":1689,"45":1691,"46":1700,"47":1711,"48":1713,"49":1727,"50":1742,"52":1767,"53":1777,"54":1778,"55":1781,"56":1822,"58":1843,"60":1890,"61":1903,"62":1926,"63":1997,"64":2011},{"1":1032,"3":1104,"4":1124,"5":1142,"6":1146,"8":1150,"9":1197,"10":1211,"11":1220,"12":1231,"13":1288,"15":1328,"16":1371,"17":1373,"20":1404,"21":1445,"22":1476,"23":1494,"24":1495,"26":1540,"29":1604,"30":1631,"31":1675,"32":1679,"33":1695,"34":1703,"36":1780,"37":1804,"38":1819,"42":1897,"43":1916,"44":1929,"45":1935,"46":1936,"47":1943,"48":1947,"50":2033},{"0":1062,"2":1121,"4":1182,"5":1188,"6":1199,"7":1202,"8":1205,"9":1213,"11":1255,"12":1266,"14":1299,"15":1313,"17":1367,"18":1388,"19":1427,"25":1601,"27":1630,"28":1680,"29":1701,"31":1736,"34":1812,"35":1826,"36":1870,"39":1912,"42":2018,"43":2022},{"3":1091,"4":1109,"5":1129,"6":1131,"14":1285,"19":1401,"20":1405,"23":1473,"24":1512,"30":1723,"38":1833,"42":1868,"44":1914,"45":1963,"46":1985,"47":1999,"48":2020},{"5":1218,"6":1237,"7":1287,"10":1350,"14":1398,"15":1482,"16":1528,"17":1568,"18":1593,"23":1665,"24":1666,"26":1714,"27":1740,"30":1792,"33":1860},{"6":1317,"7":1340,"11":1500,"12":1543,"13":1640,"22":1872,"24":1917,"25":1938,"26":1949},{"3":1244,"4":1420,"5":1506},{"3":1384,"7":1953,"8":2021},[]]