[{"0":0,"1":1,"3":4,"6":9,"7":11,"8":12,"10":14,"11":15,"12":16,"13":17,"14":18,"16":20,"17":22,"19":25,"22":29,"23":30,"24":31,"25":32,"26":34,"27":35,"30":38,"31":39,"34":44,"36":46,"40":50,"41":51,"45":56,"47":58,"49":61,"50":62,"51":63,"52":64,"53":65,"54":66,"55":67,"57":69,"59":71,"61":73,"63":77,"66":80,"67":81,"68":82,"69":83,"70":84,"71":89,"72":90,"73":91,"74":92,"75":94,"76":97,"77":99,"79":102,"80":103,"81":104,"82":105,"83":107,"84":108,"85":109,"89":113,"90":114,"91":115,"92":117,"93":118,"94":119,"95":121,"96":122,"97":124,"98":125,"100":128,"101":130,"103":132,"104":133,"105":134,"106":135,"107":136,"108":137,"110":139,"113":143,"114":144,"115":145,"118":149,"121":152,"122":153,"123":154,"124":155,"127":158,"128":161,"129":162,"130":163,"132":169,"133":170,"134":171,"135":173,"136":174,"137":175,"139":177,"140":178,"141":179,"142":180,"146":184,"147":185,"150":188,"151":190,"152":191,"153":192,"155":195,"156":197,"157":198,"165":209,"166":213,"167":214,"168":215,"171":218,"172":219,"174":221,"175":222,"176":223,"178":225,"179":227,"180":229,"181":230,"182":231,"183":232,"184":233,"185":235,"186":236,"187":237,"188":238,"190":241,"191":242,"192":244,"193":245,"195":247,"196":248,"197":250,"198":251,"199":252,"200":253,"201":255,"202":256,"203":257,"204":258,"206":260,"207":261,"208":262,"210":264,"212":267,"213":268,"214":269,"215":271,"216":272,"217":273,"218":274,"219":276,"220":277,"221":278,"223":280,"225":289,"226":290,"227":291,"229":293,"230":295,"231":298,"234":303,"235":306,"236":307,"237":308,"238":309,"239":311,"240":312,"242":314,"243":315,"245":318,"246":319,"247":321,"248":322,"251":325,"252":328,"254":330,"255":331,"256":333,"257":334,"258":335,"259":336,"260":337,"261":338,"262":339,"264":341,"266":456,"269":459,"272":463,"273":464,"276":467,"277":468,"278":469,"280":471,"281":472,"282":473,"284":475,"285":476,"288":479,"292":483,"293":485,"294":486,"295":487,"296":488,"298":492,"299":493,"300":494,"301":496,"302":498,"304":501,"305":503,"306":504,"308":506,"312":511,"314":513,"319":519,"320":521,"321":522,"323":524,"324":525,"325":527,"327":529,"328":530,"330":532,"332":534,"333":535,"335":537,"337":539,"338":540,"342":546,"343":548,"344":551,"345":552,"346":553,"348":555,"349":556,"350":557,"351":559,"352":561,"354":563,"356":567,"357":568,"358":569,"359":570,"360":571,"362":573,"363":574,"364":575,"365":576,"366":577,"367":578,"368":580,"370":583,"371":584,"372":586,"376":590,"377":591,"381":595,"382":597,"384":599,"385":600,"387":602,"391":608,"393":610,"394":611,"396":613,"398":616,"399":617,"400":618,"402":620,"404":623,"405":624,"409":630,"410":631,"414":635,"416":637,"418":641,"421":644,"422":645,"423":647,"425":649,"427":652,"429":654,"431":656,"432":657,"434":659,"435":660,"436":661,"437":662,"439":665,"441":668,"442":669,"444":672,"445":674,"446":675,"448":677,"449":678,"450":679,"451":680,"452":681,"453":682,"454":683,"455":684,"456":685,"457":686,"458":687,"459":688,"460":689,"462":692,"464":695,"467":698,"468":699,"469":700,"471":702,"472":703,"473":704,"474":705,"475":707,"476":708,"477":709,"478":710,"479":711,"481":714,"482":715,"483":716,"484":717,"487":721,"488":722,"489":724,"491":726,"492":727,"493":728,"494":729,"495":730,"496":731,"497":732,"498":733,"499":735,"500":736,"501":737,"502":738,"503":739,"504":740,"505":741,"506":742,"507":743,"508":744,"509":745,"510":746,"511":749,"512":750,"513":752,"514":753,"515":756,"516":758,"517":759,"518":760,"519":761,"520":764,"521":767,"523":769,"525":772,"526":775,"527":776,"530":780,"531":781,"532":782,"534":784,"535":786,"536":787,"538":789,"539":790,"541":794,"543":911,"544":913,"545":914,"546":921,"548":932,"549":951,"550":953,"551":954,"552":958,"553":960,"554":961,"555":962,"556":966,"557":976,"558":984,"559":988,"560":1004,"561":1005,"562":1011,"563":1020,"564":1022,"565":1024,"566":1028,"567":1036,"569":1045,"570":1049,"571":1050,"573":1061,"577":1082,"578":1091,"579":1092,"580":1099,"581":1122,"582":1139,"583":1143,"584":1148,"585":1176,"586":1181,"587":1183,"588":1193,"589":1204,"590":1211,"591":1213,"592":1215,"593":1216,"594":1227,"595":1230,"597":1233,"598":1237,"599":1244,"600":1250,"603":1263,"604":1267,"605":1273,"606":1287,"607":1290,"608":1297,"609":1298,"610":1300,"611":1310,"613":1321,"614":1329,"615":1345,"616":1346,"617":1358,"618":1363,"619":1364,"622":1377,"623":1378,"625":1385,"628":1394,"629":1409,"630":1411,"631":1415,"632":1433,"634":1446,"635":1450,"636":1462,"637":1464,"638":1471,"639":1480,"640":1482,"641":1491,"643":1512,"644":1534,"646":1561,"647":1569,"648":1571,"649":1577,"650":1578,"651":1582,"652":1586,"653":1589,"656":1616,"657":1619,"658":1625,"661":1636,"662":1640,"663":1641,"664":1642,"665":1648,"666":1651,"667":1655,"668":1657,"669":1660,"670":1670,"671":1673,"674":1696,"675":1698,"676":1699,"677":1702,"678":1704,"679":1709,"680":1720,"681":1725,"684":1742,"685":1756,"687":1766,"688":1775,"689":1776,"690":1785,"691":1786,"692":1792,"693":1794,"694":1806,"695":1817},{"0":3,"1":5,"2":6,"3":10,"5":23,"6":26,"8":40,"10":59,"13":85,"15":87,"16":88,"17":93,"18":95,"19":96,"20":98,"21":100,"22":106,"23":116,"24":123,"25":126,"26":129,"27":140,"30":160,"32":165,"33":166,"35":189,"36":193,"39":204,"40":205,"41":210,"42":211,"43":212,"44":226,"45":228,"46":234,"47":240,"48":249,"49":254,"50":265,"53":281,"54":282,"55":283,"56":285,"57":288,"58":294,"59":296,"60":297,"61":300,"62":301,"63":304,"64":310,"65":316,"66":320,"67":326,"68":327,"71":345,"73":348,"74":349,"75":350,"76":351,"77":352,"78":353,"80":355,"81":357,"82":358,"84":361,"85":362,"86":363,"87":368,"88":371,"90":373,"91":374,"95":379,"96":380,"97":381,"98":383,"99":384,"102":388,"103":389,"104":390,"105":391,"106":392,"107":393,"109":395,"110":396,"111":401,"112":402,"113":403,"114":404,"115":405,"116":406,"117":408,"118":409,"119":410,"121":412,"122":414,"124":417,"125":418,"127":420,"128":422,"129":423,"130":426,"131":428,"133":431,"135":433,"136":434,"137":436,"138":437,"139":438,"140":441,"141":442,"142":443,"143":444,"144":445,"145":446,"146":447,"147":448,"148":450,"149":452,"150":453,"151":454,"153":484,"154":495,"156":502,"159":520,"160":526,"161":543,"162":544,"163":549,"164":550,"165":558,"166":560,"167":565,"168":566,"169":579,"170":581,"171":585,"172":596,"174":607,"175":615,"176":621,"177":629,"178":638,"179":639,"181":664,"182":667,"183":671,"184":673,"185":691,"186":693,"187":706,"188":713,"190":723,"191":734,"192":747,"193":748,"194":751,"195":754,"196":755,"197":757,"198":762,"199":763,"200":765,"202":771,"204":774,"205":785,"206":793,"207":796,"208":797,"210":799,"211":800,"212":801,"214":803,"216":805,"217":808,"220":816,"221":817,"222":818,"223":821,"224":822,"227":826,"229":829,"231":831,"232":832,"236":839,"239":844,"240":845,"242":847,"243":850,"244":851,"245":852,"247":855,"250":859,"252":862,"253":865,"254":868,"256":871,"257":872,"258":874,"259":875,"260":876,"261":877,"262":879,"263":880,"264":881,"265":882,"266":883,"267":884,"268":885,"269":886,"270":887,"272":889,"273":890,"274":891,"275":892,"276":894,"277":895,"278":896,"279":897,"280":899,"283":902,"284":903,"285":904,"286":906,"288":916,"289":926,"290":929,"291":931,"292":934,"293":939,"294":944,"295":947,"296":950,"297":955,"298":956,"300":969,"301":971,"302":975,"303":989,"304":1003,"305":1008,"306":1014,"307":1015,"308":1019,"309":1021,"310":1029,"311":1031,"312":1038,"313":1043,"315":1055,"316":1064,"317":1066,"318":1067,"319":1070,"320":1072,"321":1074,"322":1081,"323":1093,"324":1100,"325":1103,"326":1106,"327":1108,"328":1111,"329":1117,"330":1119,"332":1126,"334":1140,"335":1159,"336":1162,"337":1165,"338":1171,"339":1178,"340":1182,"341":1184,"342":1187,"343":1196,"344":1197,"345":1201,"346":1205,"347":1206,"348":1207,"350":1218,"352":1220,"353":1223,"354":1238,"355":1241,"356":1243,"358":1248,"359":1251,"360":1259,"361":1262,"362":1271,"363":1274,"364":1279,"366":1285,"367":1288,"368":1299,"369":1307,"370":1314,"371":1317,"372":1319,"373":1323,"374":1335,"375":1337,"377":1348,"378":1359,"379":1361,"380":1373,"381":1374,"382":1376,"383":1381,"384":1384,"385":1389,"386":1396,"387":1403,"388":1404,"389":1405,"390":1406,"391":1412,"392":1417,"394":1427,"395":1429,"396":1430,"397":1434,"398":1435,"399":1442,"401":1453,"403":1455,"405":1465,"406":1478,"407":1479,"408":1483,"409":1492,"410":1497,"411":1501,"412":1504,"413":1505,"414":1511,"415":1517,"417":1524,"418":1526,"419":1537,"421":1548,"422":1566,"423":1574,"424":1583,"425":1599,"426":1600,"427":1604,"428":1608,"431":1629,"433":1633,"434":1643,"435":1646,"437":1654,"438":1656,"439":1659,"440":1666,"441":1667,"442":1671,"443":1672,"444":1681,"445":1682,"446":1684,"447":1687,"449":1692,"450":1694,"451":1697,"453":1710,"454":1718,"455":1719,"456":1726,"457":1728,"458":1729,"459":1730,"460":1733,"461":1738,"462":1748,"463":1752,"464":1757,"466":1768,"468":1797,"469":1802,"470":1805,"471":1808},{"0":43,"1":120,"3":286,"4":287,"5":305,"6":332,"7":344,"8":347,"9":356,"10":360,"11":365,"12":366,"13":370,"14":378,"15":382,"16":385,"17":397,"18":398,"19":399,"20":400,"21":407,"23":424,"24":425,"25":429,"27":439,"28":449,"29":489,"32":547,"33":626,"35":779,"36":792,"37":806,"38":807,"39":809,"41":811,"42":812,"43":813,"44":819,"45":820,"46":825,"48":833,"49":834,"50":837,"51":840,"52":843,"53":848,"54":849,"55":853,"56":861,"57":863,"58":864,"60":867,"61":870,"62":873,"63":878,"64":893,"65":898,"66":907,"67":909,"70":959,"72":980,"73":981,"75":985,"76":995,"77":996,"78":1000,"79":1009,"80":1025,"81":1034,"82":1047,"83":1048,"84":1054,"85":1071,"86":1084,"87":1096,"88":1121,"90":1131,"91":1138,"92":1160,"93":1166,"94":1174,"95":1179,"96":1180,"97":1189,"98":1191,"99":1192,"100":1209,"101":1226,"102":1232,"103":1234,"104":1235,"105":1239,"107":1254,"108":1256,"109":1258,"110":1272,"111":1278,"113":1302,"114":1305,"117":1320,"118":1322,"119":1325,"121":1330,"122":1344,"123":1352,"124":1353,"125":1354,"126":1372,"127":1387,"128":1388,"129":1416,"130":1437,"131":1438,"132":1440,"133":1444,"134":1452,"135":1458,"137":1481,"138":1493,"139":1499,"140":1508,"141":1509,"142":1516,"143":1522,"144":1523,"145":1531,"147":1536,"149":1555,"151":1563,"152":1565,"156":1598,"157":1607,"158":1611,"159":1612,"160":1618,"161":1620,"162":1661,"163":1664,"165":1678,"166":1685,"167":1688,"168":1693,"169":1713,"170":1723,"171":1724,"172":1744,"173":1745,"174":1747,"176":1755,"177":1760,"178":1777,"179":1782,"180":1784,"181":1788,"182":1793,"183":1803,"184":1813,"185":1816},{"0":172,"1":364,"2":369,"3":413,"4":416,"5":427,"6":440,"7":451,"8":857,"9":905,"10":915,"11":917,"12":927,"15":943,"16":945,"18":967,"19":987,"20":993,"21":994,"22":999,"23":1006,"24":1010,"25":1030,"26":1037,"27":1044,"28":1060,"29":1063,"30":1087,"31":1089,"32":1094,"33":1128,"34":1132,"35":1135,"36":1147,"37":1170,"38":1210,"39":1214,"40":1242,"41":1246,"43":1276,"44":1280,"45":1291,"47":1296,"48":1306,"49":1324,"50":1328,"51":1333,"52":1340,"53":1342,"54":1362,"55":1368,"56":1369,"57":1375,"58":1383,"59":1391,"60":1397,"61":1400,"63":1414,"64":1423,"65":1424,"66":1428,"67":1436,"71":1469,"72":1470,"73":1473,"74":1475,"76":1486,"77":1487,"78":1515,"79":1528,"80":1538,"81":1554,"83":1572,"84":1579,"85":1580,"86":1581,"87":1584,"89":1614,"90":1621,"91":1623,"92":1624,"94":1639,"95":1645,"97":1658,"98":1679,"99":1690,"100":1695,"103":1716,"104":1722,"105":1727,"106":1732,"108":1765,"109":1767,"111":1773,"112":1778,"113":1791,"114":1798,"115":1804,"116":1809},{"0":367,"1":912,"2":928,"3":930,"4":937,"5":942,"6":948,"7":970,"8":977,"9":978,"10":983,"11":990,"12":1002,"13":1016,"14":1017,"15":1026,"16":1035,"17":1051,"18":1058,"19":1065,"20":1075,"21":1079,"22":1085,"24":1095,"25":1102,"26":1105,"27":1109,"28":1115,"29":1124,"30":1129,"31":1130,"32":1141,"33":1144,"34":1157,"35":1188,"36":1199,"37":1203,"38":1249,"39":1252,"40":1264,"41":1266,"42":1275,"43":1277,"44":1312,"46":1332,"47":1339,"48":1349,"49":1356,"50":1357,"51":1360,"52":1370,"53":1418,"54":1422,"56":1459,"58":1466,"59":1489,"60":1490,"61":1498,"63":1507,"64":1514,"65":1519,"66":1520,"68":1532,"69":1539,"70":1541,"71":1588,"72":1592,"73":1601,"75":1609,"76":1637,"77":1668,"78":1677,"79":1686,"80":1703,"81":1706,"82":1714,"83":1717,"84":1736,"85":1737,"87":1746,"88":1751,"89":1759,"91":1780,"92":1783,"93":1796,"94":1799,"96":1811},{"0":919,"1":957,"2":979,"3":986,"4":991,"5":1001,"6":1007,"7":1073,"8":1077,"9":1112,"11":1136,"12":1145,"14":1152,"15":1164,"16":1167,"17":1168,"18":1175,"19":1198,"20":1217,"21":1240,"22":1269,"23":1301,"24":1313,"25":1331,"27":1338,"28":1343,"29":1351,"30":1386,"31":1399,"32":1410,"34":1439,"35":1472,"36":1484,"37":1485,"38":1488,"39":1502,"40":1510,"41":1513,"42":1543,"43":1549,"44":1551,"45":1557,"46":1559,"47":1576,"48":1587,"49":1594,"51":1638,"52":1644,"53":1663,"54":1665,"55":1676,"57":1711,"59":1731,"60":1750,"61":1754,"62":1790,"63":1801,"64":1807},{"0":933,"1":938,"2":963,"3":972,"4":998,"6":1027,"7":1033,"9":1041,"10":1053,"11":1083,"12":1090,"13":1097,"14":1101,"15":1113,"16":1114,"17":1116,"18":1134,"20":1155,"21":1158,"22":1163,"23":1172,"24":1177,"25":1186,"26":1200,"27":1202,"28":1224,"29":1228,"30":1255,"31":1289,"32":1407,"33":1413,"34":1419,"35":1420,"36":1467,"37":1496,"39":1525,"41":1595,"42":1650,"43":1652,"44":1715,"45":1758,"46":1771,"47":1772,"48":1781,"49":1815},{"0":910,"1":923,"3":1039,"4":1068,"5":1086,"7":1173,"8":1194,"9":1221,"10":1222,"12":1292,"13":1303,"14":1336,"15":1379,"16":1398,"17":1441,"19":1495,"21":1545,"22":1547,"23":1552,"24":1562,"25":1567,"26":1596,"28":1743,"29":1774,"30":1812},{"0":918,"1":973,"2":992,"3":1013,"5":1056,"7":1107,"8":1142,"14":1308,"16":1355,"18":1392,"19":1449,"20":1476,"21":1550,"22":1585,"23":1610},{"2":1069,"4":1212,"7":1294,"9":1431,"11":1546,"13":1628},{"0":925,"4":1150},{"3":1161},[],[],[],[],[]]