[{"3":3,"5":5,"7":7,"10":13,"11":14,"14":17,"15":18,"17":20,"18":21,"21":24,"22":25,"24":28,"25":29,"26":30,"28":32,"29":33,"30":34,"32":36,"35":39,"43":48,"44":49,"46":51,"47":53,"49":55,"50":56,"51":58,"55":62,"58":65,"60":67,"63":70,"64":71,"65":72,"66":73,"67":74,"68":75,"69":76,"70":77,"71":78,"72":79,"73":80,"74":81,"77":84,"79":86,"81":88,"84":92,"86":96,"88":99,"90":101,"92":103,"93":104,"95":107,"98":110,"100":112,"102":114,"104":116,"108":122,"111":126,"113":128,"114":130,"116":133,"117":134,"118":136,"120":138,"122":141,"124":143,"125":145,"126":146,"127":147,"134":154,"135":155,"136":156,"138":159,"139":160,"140":161,"141":162,"142":163,"143":165,"144":166,"146":169,"147":170,"148":172,"149":173,"151":175,"153":177,"154":178,"155":179,"156":181,"158":183,"159":184,"162":188,"167":193,"169":196,"170":198,"172":200,"173":201,"174":202,"175":203,"176":204,"178":207,"179":208,"180":209,"181":210,"182":211,"184":213,"185":214,"187":216,"192":221,"193":222,"195":224,"197":226,"198":227,"201":230,"203":232,"205":234,"206":236,"207":237,"210":240,"211":241,"212":242,"213":243,"217":249,"218":250,"219":251,"220":252,"221":253,"222":254,"226":259,"227":260,"228":261,"229":262,"230":263,"232":265,"233":266,"234":267,"235":269,"236":270,"239":273,"240":274,"241":275,"242":276,"244":278,"246":280,"247":281,"248":282,"249":283,"250":284,"251":285,"252":286,"255":291,"256":292,"257":293,"259":296,"262":300,"267":305,"269":307,"272":310,"276":314,"280":318,"281":319,"283":321,"285":323,"288":326,"289":327,"291":329,"292":330,"294":333,"295":334,"296":335,"297":336,"298":337,"301":340,"303":342,"304":343,"306":345,"307":346,"309":348,"311":350,"314":355,"316":357,"318":359,"320":361,"321":362,"322":363,"323":365,"325":367,"327":369,"330":373,"331":374,"332":377,"333":378,"336":381,"338":385,"340":389,"341":390,"342":393,"345":396,"346":397,"348":401,"351":404,"352":405,"353":406,"354":407,"356":409,"359":412,"361":415,"362":416,"363":417,"364":419,"367":422,"368":423,"369":424,"372":428,"374":430,"375":431,"376":432,"377":433,"378":434,"379":435,"380":436,"381":437,"383":439,"384":440,"386":442,"387":443,"388":444,"389":445,"390":447,"391":448,"392":449,"393":450,"394":451,"395":452,"396":453,"397":456,"398":457,"399":458,"400":459,"401":460,"402":461,"403":462,"404":464,"406":466,"407":467,"408":468,"409":469,"410":470,"413":475,"414":476,"415":478,"416":480,"417":481,"419":483,"420":484,"421":485,"422":486,"423":487,"424":488,"425":489,"426":490,"427":491,"429":493,"430":494,"431":495,"432":496,"433":498,"434":499,"435":500,"437":502,"438":503,"439":504,"441":507,"443":509,"447":514,"450":517,"452":519,"453":520,"454":521,"455":523,"458":526,"459":527,"461":529,"463":531,"464":532,"469":537,"471":539,"472":540,"478":547,"479":548,"480":549,"481":550,"482":551,"483":552,"484":553,"488":558,"489":559,"492":562,"494":564,"496":567,"497":568,"498":569,"499":570,"501":572,"502":573,"503":576,"505":579,"507":581,"508":582,"510":584,"512":586,"514":588,"515":589,"520":594,"521":595,"522":596,"523":598,"525":600,"527":602,"528":603,"530":605,"531":607,"533":610,"535":612,"536":613,"537":614,"538":615,"540":617,"541":618,"543":620,"545":623,"546":624,"549":627,"555":633,"556":635,"557":636,"558":637,"559":638,"560":639,"562":641,"563":642,"566":645,"569":648,"570":649,"571":650,"574":653,"575":654,"576":655,"578":657,"579":658,"580":659,"581":660,"582":661,"583":662,"584":663,"587":666,"589":668,"590":670,"591":671,"592":672,"593":673,"594":675,"596":677,"597":678,"598":679,"599":680,"600":681,"601":682,"602":683,"603":684,"604":685,"606":687,"607":688,"608":690,"609":691,"610":692,"612":694,"613":695,"614":696,"615":697,"616":699,"617":700,"618":701,"619":702,"623":706,"624":707,"625":708,"627":711,"628":712,"632":718,"635":721,"636":722,"637":723,"638":724,"639":725,"642":730,"643":731,"644":733,"645":734,"647":736,"648":737,"649":738,"650":739,"651":740,"653":743,"656":746,"657":747,"658":748,"663":754,"664":755,"666":757,"667":758,"671":762,"676":768,"678":770,"679":771,"680":772,"681":774,"682":775,"684":777,"685":778,"688":785,"689":786,"690":787,"693":790,"696":794,"697":795,"699":797,"702":800,"703":801,"704":802,"705":804,"706":805,"707":806,"709":813,"712":816,"714":818,"716":821,"719":824,"720":825,"722":827,"723":828,"724":829,"725":830,"727":832,"732":837,"733":838,"736":841,"738":843,"739":844,"740":845,"741":846,"742":847,"743":848,"745":850,"748":855,"749":856,"750":857,"752":859,"753":860,"754":861,"755":862,"756":863,"757":864,"761":870,"762":871,"764":873,"765":874,"766":875,"768":878,"770":880,"771":881,"772":883,"776":888,"777":889,"781":894,"784":897,"787":900,"790":904,"792":906,"793":907,"794":908,"795":909,"796":910,"797":911,"798":912,"799":913,"800":914,"801":915,"802":916,"803":917,"804":918,"805":919,"806":920,"807":921,"808":922,"809":923,"810":924,"812":928,"816":933,"817":934,"818":936,"819":937,"821":940,"823":942,"824":943,"825":944,"827":946,"828":947,"832":951,"833":952,"834":953,"836":955,"837":956,"839":960,"841":963,"843":965,"845":970,"846":971,"848":973,"849":974,"850":975,"851":976,"852":977,"853":979,"854":980,"856":982,"857":983,"860":996,"861":999,"862":1000,"863":1005,"864":1009,"865":1011,"866":1013,"867":1020,"868":1025,"869":1028,"870":1030,"871":1036,"872":1037,"873":1040,"874":1043,"875":1055,"876":1056,"877":1057,"879":1084,"881":1095,"882":1097,"884":1106,"885":1108,"887":1113,"889":1119,"891":1126,"892":1135,"894":1144,"895":1155,"897":1183,"898":1185,"899":1192,"900":1199,"901":1204,"903":1218,"904":1220,"905":1225,"906":1235,"908":1245,"909":1262,"911":1272,"912":1280,"913":1281,"914":1284,"915":1292,"916":1295,"917":1296,"918":1302,"919":1306,"920":1311,"921":1313,"922":1317,"923":1336,"924":1338,"925":1339,"926":1350,"927":1358,"928":1359,"929":1366,"930":1369,"931":1384,"932":1387,"933":1389,"934":1395,"935":1397,"936":1409,"937":1411,"938":1414,"939":1417,"940":1418,"941":1419,"944":1430,"945":1433,"946":1448,"947":1455,"948":1457,"950":1470,"952":1475,"953":1487,"954":1499,"955":1506,"956":1513,"957":1519,"958":1524,"959":1529,"960":1535,"962":1551,"964":1559,"965":1564,"966":1565,"967":1569,"968":1571,"969":1576,"971":1581,"976":1604,"977":1606,"978":1608,"983":1632,"984":1636,"985":1653,"986":1663,"988":1673,"991":1682,"992":1685,"994":1687,"995":1689,"996":1690,"997":1701,"1000":1717,"1001":1718,"1003":1736,"1004":1738,"1005":1746,"1008":1755,"1009":1757,"1010":1759,"1011":1764,"1012":1773,"1013":1776,"1014":1780,"1016":1791,"1017":1795,"1018":1800,"1021":1805,"1022":1807,"1024":1816,"1025":1817,"1026":1819,"1027":1823,"1028":1827,"1029":1829,"1030":1832,"1031":1833,"1032":1839,"1033":1843,"1035":1852,"1037":1856,"1038":1859,"1040":1874,"1041":1875,"1044":1891,"1045":1895,"1046":1903,"1047":1904,"1048":1908,"1051":1924,"1053":1926,"1054":1927,"1055":1928,"1057":1948,"1061":1964},{"0":8,"1":9,"3":27,"6":57,"7":91,"8":93,"9":94,"11":105,"12":119,"13":120,"14":124,"15":129,"16":132,"18":140,"19":144,"21":164,"23":171,"24":180,"25":187,"26":194,"27":197,"30":244,"31":246,"34":289,"35":290,"36":294,"37":297,"38":332,"39":352,"41":364,"43":375,"44":376,"45":382,"46":383,"47":386,"49":391,"51":400,"52":413,"53":418,"54":425,"55":446,"56":454,"57":455,"58":463,"59":471,"60":472,"61":477,"62":479,"63":497,"64":505,"65":511,"67":545,"70":574,"71":575,"73":597,"77":634,"78":669,"79":674,"80":698,"81":710,"83":716,"84":726,"85":728,"86":732,"88":753,"89":766,"90":773,"93":782,"94":784,"98":808,"99":809,"101":811,"104":853,"106":869,"108":882,"109":886,"110":892,"111":901,"112":926,"113":927,"114":930,"115":935,"116":958,"117":959,"118":961,"120":967,"121":969,"122":978,"124":986,"125":989,"126":990,"127":994,"128":995,"131":1007,"132":1008,"133":1017,"134":1026,"136":1032,"137":1033,"139":1038,"140":1041,"141":1044,"142":1045,"143":1047,"144":1049,"145":1054,"146":1059,"147":1061,"149":1063,"150":1065,"151":1066,"152":1072,"153":1080,"154":1081,"156":1087,"157":1088,"158":1093,"159":1103,"161":1116,"162":1118,"163":1121,"164":1134,"166":1138,"167":1142,"168":1145,"169":1148,"170":1151,"171":1152,"172":1157,"174":1165,"176":1168,"177":1169,"178":1172,"179":1174,"180":1187,"181":1189,"183":1196,"185":1202,"186":1206,"187":1214,"189":1231,"190":1233,"191":1234,"192":1236,"193":1240,"194":1244,"195":1248,"196":1256,"197":1257,"198":1258,"199":1266,"201":1290,"202":1293,"203":1299,"204":1312,"205":1314,"207":1324,"208":1326,"210":1328,"211":1330,"213":1337,"214":1354,"216":1357,"217":1361,"218":1362,"219":1364,"220":1367,"221":1370,"222":1372,"223":1376,"225":1388,"227":1404,"228":1407,"229":1410,"230":1412,"231":1415,"232":1427,"233":1431,"235":1437,"237":1453,"238":1454,"239":1461,"240":1466,"241":1468,"244":1477,"245":1482,"246":1483,"247":1484,"248":1491,"249":1502,"252":1512,"254":1523,"255":1526,"256":1532,"257":1536,"258":1537,"259":1539,"260":1540,"261":1543,"262":1549,"263":1552,"264":1553,"265":1557,"267":1566,"268":1568,"269":1572,"271":1583,"272":1586,"273":1588,"274":1589,"275":1610,"276":1612,"277":1614,"278":1626,"280":1638,"281":1639,"284":1645,"285":1646,"286":1647,"287":1652,"288":1661,"289":1665,"290":1670,"293":1681,"294":1683,"295":1692,"297":1696,"298":1716,"299":1722,"301":1732,"303":1735,"305":1740,"306":1744,"307":1745,"308":1749,"309":1751,"312":1768,"313":1781,"314":1783,"315":1788,"316":1789,"317":1794,"318":1796,"319":1804,"320":1808,"321":1812,"322":1820,"323":1838,"324":1841,"325":1842,"326":1846,"328":1853,"330":1866,"332":1868,"333":1872,"334":1876,"335":1877,"336":1885,"337":1890,"338":1892,"339":1893,"340":1901,"341":1907,"342":1909,"343":1914,"344":1921,"345":1934,"346":1937,"347":1941,"348":1943,"350":1946,"351":1949,"352":1950,"353":1952,"354":1960,"355":1967},{"0":392,"1":689,"3":988,"4":1001,"5":1006,"6":1010,"8":1018,"9":1019,"11":1029,"12":1034,"13":1039,"14":1053,"15":1071,"16":1073,"17":1090,"18":1092,"19":1096,"21":1128,"22":1136,"24":1159,"25":1170,"27":1179,"28":1188,"29":1200,"30":1209,"31":1217,"33":1229,"34":1239,"35":1250,"36":1255,"37":1273,"38":1274,"39":1277,"40":1289,"43":1316,"44":1318,"45":1321,"46":1323,"47":1325,"48":1348,"49":1349,"50":1351,"51":1365,"52":1374,"53":1380,"54":1385,"55":1386,"56":1396,"57":1399,"58":1405,"59":1420,"60":1421,"61":1434,"63":1445,"64":1452,"65":1456,"66":1464,"67":1467,"68":1472,"69":1478,"70":1479,"71":1494,"72":1496,"73":1497,"74":1498,"75":1500,"77":1505,"78":1511,"79":1518,"81":1531,"82":1542,"83":1554,"84":1555,"85":1562,"87":1570,"88":1577,"89":1584,"91":1599,"92":1601,"93":1616,"94":1619,"95":1628,"96":1651,"97":1662,"99":1668,"100":1694,"101":1700,"102":1703,"103":1705,"105":1710,"106":1713,"108":1729,"109":1733,"110":1739,"111":1741,"112":1742,"113":1750,"117":1771,"118":1778,"119":1786,"122":1801,"124":1818,"125":1822,"126":1825,"127":1834,"128":1835,"130":1861,"131":1871,"132":1880,"133":1882,"134":1896,"136":1920,"137":1923,"138":1930,"139":1951,"140":1955},{"0":992,"1":997,"4":1069,"6":1091,"9":1124,"10":1129,"11":1139,"12":1149,"13":1161,"14":1182,"15":1184,"16":1186,"17":1193,"18":1212,"20":1232,"21":1242,"22":1253,"23":1260,"24":1261,"25":1286,"26":1301,"27":1308,"28":1310,"30":1352,"31":1379,"33":1406,"34":1416,"36":1440,"37":1442,"38":1447,"39":1451,"40":1463,"41":1473,"42":1480,"43":1481,"45":1495,"46":1516,"50":1560,"51":1582,"53":1618,"54":1622,"56":1630,"57":1637,"59":1655,"61":1675,"62":1684,"63":1688,"64":1712,"66":1719,"67":1720,"68":1726,"69":1753,"70":1761,"72":1774,"73":1777,"74":1779,"75":1792,"76":1813,"77":1824,"78":1837,"80":1858,"81":1889,"82":1898,"83":1900,"84":1910,"86":1938,"87":1942,"88":1954},{"0":987,"2":1052,"3":1079,"5":1115,"6":1146,"7":1175,"8":1181,"9":1227,"10":1238,"11":1241,"12":1263,"15":1288,"16":1297,"17":1298,"18":1304,"22":1345,"24":1360,"25":1390,"26":1391,"27":1392,"28":1436,"29":1450,"30":1460,"31":1485,"34":1575,"35":1611,"36":1621,"37":1642,"38":1650,"39":1657,"40":1660,"43":1691,"44":1723,"45":1754,"46":1806,"49":1870,"51":1894,"53":1915,"54":1933,"57":1944,"59":1959},{"0":1014,"1":1016,"5":1102,"6":1110,"7":1130,"9":1140,"10":1150,"11":1156,"13":1173,"20":1252,"21":1287,"22":1303,"23":1320,"25":1334,"26":1340,"27":1341,"28":1368,"29":1371,"30":1377,"31":1382,"35":1530,"36":1547,"38":1596,"39":1607,"40":1635,"41":1641,"43":1677,"44":1680,"45":1711,"48":1785,"50":1799,"52":1847,"55":1966},{"1":1060,"3":1075,"8":1176,"12":1228,"13":1275,"14":1294,"15":1335,"16":1342,"18":1441,"19":1458,"21":1501,"23":1525,"26":1592,"29":1649,"30":1659,"31":1699,"32":1707,"33":1763,"34":1772,"36":1830,"39":1857,"40":1864,"41":1878,"43":1888,"44":1899},{"0":1031,"4":1180,"5":1201,"6":1213,"8":1259,"14":1429,"17":1514,"20":1546,"22":1598,"23":1605,"26":1698,"27":1704,"29":1879,"31":1887,"32":1902,"33":1932},{"0":1048,"1":1051,"2":1058,"4":1098,"7":1147,"11":1211,"13":1279,"14":1291,"17":1401,"20":1489,"22":1541,"23":1548,"31":1790,"33":1851},{"0":1023,"3":1107,"5":1223,"8":1271,"9":1283,"10":1344,"13":1413,"15":1493,"16":1585,"19":1633,"20":1671,"23":1782},{"1":1078,"4":1400,"12":1811,"13":1828,"15":1863,"16":1869},{"2":1222,"3":1251,"5":1278,"10":1770,"11":1810},{"5":1600,"7":1929},{"2":1247},{"2":1127,"3":1249},[],[]]