[{"2":2,"3":3,"5":5,"6":6,"7":7,"8":8,"9":9,"11":11,"12":13,"15":19,"16":20,"17":21,"18":22,"20":24,"21":26,"22":27,"23":28,"24":29,"25":30,"26":32,"28":34,"29":35,"30":36,"31":37,"32":38,"33":40,"34":41,"35":42,"37":46,"38":47,"40":50,"41":52,"44":55,"47":59,"48":60,"49":61,"50":62,"51":63,"54":66,"55":67,"57":69,"58":70,"59":71,"60":73,"61":74,"62":75,"63":76,"64":77,"65":79,"66":80,"67":83,"68":84,"69":86,"70":87,"71":88,"73":90,"74":92,"76":94,"78":96,"79":98,"80":99,"82":102,"83":103,"85":105,"86":106,"87":107,"88":109,"89":110,"90":111,"92":114,"93":115,"94":116,"95":117,"97":119,"98":120,"100":123,"104":127,"105":128,"107":130,"110":134,"111":135,"112":136,"113":137,"114":138,"116":141,"117":142,"118":143,"119":144,"121":146,"122":147,"124":149,"125":150,"126":151,"128":154,"129":155,"130":156,"131":157,"132":158,"133":160,"134":161,"135":163,"138":169,"139":170,"142":173,"144":176,"145":177,"146":178,"147":180,"148":181,"149":182,"150":183,"151":184,"152":185,"153":186,"154":187,"155":188,"156":190,"157":192,"158":194,"159":195,"161":197,"162":198,"163":199,"164":201,"165":202,"166":203,"167":205,"169":208,"170":209,"171":210,"172":211,"178":217,"179":218,"181":220,"182":221,"183":222,"184":223,"185":224,"186":225,"187":227,"188":228,"189":229,"191":231,"192":232,"193":233,"194":234,"195":235,"197":237,"199":240,"201":242,"202":243,"203":244,"204":245,"205":246,"206":247,"208":249,"209":250,"210":251,"212":253,"216":258,"217":260,"219":262,"220":263,"224":267,"225":269,"226":270,"227":272,"228":273,"230":275,"231":276,"232":277,"233":278,"234":279,"235":281,"236":282,"237":284,"238":285,"239":287,"240":288,"241":289,"242":290,"243":291,"244":292,"245":294,"246":295,"247":297,"249":300,"250":301,"252":303,"253":304,"256":309,"259":312,"261":314,"262":315,"263":316,"265":318,"266":319,"267":320,"268":321,"269":322,"270":323,"271":324,"273":326,"274":327,"275":328,"277":330,"278":331,"279":332,"280":333,"281":334,"282":335,"283":336,"284":337,"285":338,"286":339,"289":342,"291":344,"295":349,"296":351,"297":352,"301":357,"305":362,"306":363,"307":364,"308":365,"309":367,"310":368,"311":370,"313":372,"314":373,"315":374,"316":375,"317":376,"318":377,"319":378,"320":379,"321":380,"322":381,"323":382,"324":384,"325":385,"327":388,"328":389,"329":390,"330":394,"331":395,"333":397,"334":398,"337":402,"338":404,"339":405,"340":406,"341":407,"342":408,"343":409,"344":410,"345":411,"346":412,"347":413,"348":414,"349":415,"350":417,"353":421,"354":422,"355":423,"356":424,"357":427,"358":428,"359":432,"360":433,"361":434,"362":435,"363":437,"364":438,"365":440,"366":441,"367":443,"368":444,"369":445,"370":446,"371":447,"372":449,"373":450,"375":452,"376":453,"377":454,"379":456,"380":457,"381":458,"382":459,"383":460,"384":462,"385":463,"386":464,"387":466,"388":467,"389":468,"390":470,"391":471,"394":474,"395":475,"396":476,"397":477,"398":478,"400":481,"401":482,"402":483,"403":484,"404":485,"405":486,"406":487,"407":488,"408":489,"409":490,"410":491,"411":493,"412":494,"413":495,"414":496,"415":497,"416":498,"417":499,"418":500,"419":501,"420":502,"421":503,"422":505,"423":507,"424":508,"426":512,"428":516,"429":517,"430":518,"435":523,"436":524,"437":525,"439":527,"441":529,"446":538,"447":539,"450":542,"451":543,"452":544,"453":545,"457":550,"458":551,"460":553,"461":554,"464":557,"467":560,"469":562,"470":563,"471":564,"473":567,"474":568,"475":569,"476":570,"477":571,"478":572,"479":573,"484":579,"485":580,"486":581,"490":586,"491":587,"492":589,"493":590,"494":592,"495":593,"497":596,"498":597,"499":598,"500":600,"501":601,"503":603,"504":604,"505":605,"506":606,"509":610,"510":611,"511":612,"512":613,"513":614,"514":615,"515":616,"516":617,"517":618,"520":622,"521":623,"522":624,"523":625,"524":626,"526":629,"527":630,"528":631,"529":632,"530":633,"531":634,"532":635,"533":636,"534":637,"536":639,"537":642,"538":643,"539":644,"540":645,"541":646,"543":648,"545":650,"546":651,"547":653,"548":654,"549":655,"550":656,"551":657,"553":660,"555":663,"556":664,"557":665,"558":667,"559":668,"560":669,"561":670,"563":672,"564":673,"565":674,"566":675,"567":676,"568":677,"569":678,"570":679,"571":680,"572":683,"573":684,"574":687,"575":688,"576":689,"577":690,"578":691,"579":692,"580":693,"581":694,"582":695,"583":696,"584":697,"585":698,"586":699,"587":700,"588":701,"589":702,"590":703,"592":705,"593":706,"594":707,"595":709,"596":710,"597":711,"598":712,"599":714,"600":716,"601":717,"602":719,"603":720,"604":721,"605":723,"606":724,"608":726,"609":727,"611":729,"614":732,"615":733,"616":735,"617":736,"618":737,"619":738,"620":739,"621":740,"622":742,"623":743,"624":747,"625":749,"626":750,"627":751,"628":752,"629":753,"630":754,"631":755,"632":756,"633":759,"634":760,"635":761,"637":763,"638":764,"640":767,"643":771,"644":772,"645":773,"646":774,"647":775,"648":776,"649":777,"651":779,"653":783,"655":785,"656":786,"657":787,"658":788,"659":790,"660":792,"661":794,"662":796,"663":797,"664":799,"665":800,"666":801,"667":802,"668":803,"669":805,"670":806,"671":807,"672":810,"673":812,"674":813,"675":814,"676":815,"677":816,"678":817,"679":818,"681":821,"683":823,"684":824,"685":825,"686":826,"687":827,"688":829,"689":830,"690":831,"692":833,"694":835,"695":836,"696":838,"697":839,"698":840,"699":841,"700":842,"701":843,"702":844,"704":847,"705":849,"707":851,"708":852,"709":853,"710":854,"711":855,"713":857,"714":858,"715":859,"716":860,"717":861,"719":863,"720":864,"721":865,"722":866,"723":867,"726":870,"727":872,"728":873,"729":874,"731":877,"732":879,"733":880,"735":883,"736":884,"738":886,"741":890,"742":891,"743":892,"744":893,"745":894,"746":897,"747":898,"748":899,"749":902,"750":903,"751":905,"752":906,"753":907,"754":908,"755":909,"756":910,"757":912,"759":914,"760":915,"761":916,"762":917,"763":918,"764":919,"765":920,"766":921,"767":922,"768":923,"769":924,"770":925,"771":928,"772":929,"773":930,"774":932,"775":934,"776":935,"779":938,"780":940,"781":941,"782":944,"783":945,"784":946,"785":947,"786":949,"787":950,"789":953,"790":955,"792":958,"793":960,"794":962,"796":964,"797":965,"798":966,"799":967,"800":968,"801":969,"802":970,"803":971,"804":972,"805":973,"806":974,"808":978,"809":979,"810":980,"811":981,"812":983,"813":984,"814":985,"815":986,"816":987,"817":989,"818":992,"819":993,"820":994,"821":995,"822":996,"823":997,"824":998,"825":999,"826":1000,"827":1001,"828":1002,"829":1003,"830":1004,"831":1006,"832":1007,"833":1008,"834":1009,"835":1010,"836":1012,"837":1013,"838":1014,"839":1015,"840":1017,"841":1018,"842":1019,"843":1020,"844":1021,"845":1022,"846":1023,"847":1024,"848":1027,"849":1028,"850":1029,"851":1032,"852":1041,"853":1042,"854":1047,"855":1048,"856":1049,"858":1053,"859":1057,"862":1066,"863":1068,"864":1071,"865":1076,"867":1082,"868":1083,"869":1086,"872":1092,"873":1105,"874":1111,"875":1113,"876":1120,"877":1123,"878":1126,"879":1127,"880":1129,"881":1132,"882":1136,"883":1137,"884":1139,"885":1140,"886":1141,"887":1142,"888":1143,"889":1144,"890":1150,"892":1154,"893":1155,"894":1156,"895":1158,"896":1161,"897":1162,"898":1165,"899":1166,"900":1167,"901":1172,"902":1173,"905":1178,"906":1181,"907":1184,"908":1187,"910":1195,"911":1196,"912":1198,"913":1200,"914":1205,"916":1213,"917":1215,"918":1216,"919":1217,"920":1219,"921":1222,"923":1231,"924":1232,"925":1234,"926":1236,"928":1239,"929":1241,"930":1244,"931":1245,"932":1246,"933":1247,"934":1248,"935":1253,"936":1259,"937":1261,"938":1270,"939":1271,"940":1272,"941":1273,"942":1277,"943":1280,"944":1281,"945":1285,"946":1286,"947":1287,"948":1289,"949":1291,"950":1295,"951":1298,"952":1299,"953":1305,"954":1307,"955":1310,"957":1314,"958":1316,"960":1320,"961":1329,"962":1330,"963":1331,"964":1336,"965":1337,"966":1339,"967":1346,"968":1347,"970":1352,"971":1353,"972":1354,"973":1358,"974":1360,"976":1363,"977":1366,"979":1368,"980":1369,"981":1370,"982":1371,"983":1372,"984":1373,"985":1374,"986":1378,"987":1382,"988":1385,"989":1390,"991":1398,"992":1399,"993":1401,"994":1404,"995":1406,"996":1407,"997":1408,"998":1409,"999":1410,"1000":1416,"1001":1419,"1002":1420,"1003":1425,"1004":1426,"1005":1433,"1006":1440,"1007":1442,"1008":1443,"1009":1444,"1010":1445,"1011":1446,"1012":1448,"1013":1450,"1014":1453,"1015":1455,"1016":1456,"1017":1459,"1018":1460,"1019":1462,"1020":1463,"1021":1467,"1022":1468,"1024":1476,"1025":1477,"1026":1478,"1027":1479,"1028":1481,"1029":1482,"1030":1484,"1031":1487,"1032":1488,"1033":1493,"1034":1495,"1035":1496,"1036":1498,"1037":1499,"1038":1503,"1039":1506,"1040":1507,"1041":1511,"1042":1512,"1043":1519,"1044":1520,"1045":1522,"1046":1529,"1048":1538,"1050":1544,"1051":1545,"1052":1549,"1053":1551,"1054":1556,"1055":1557,"1056":1558,"1057":1561,"1058":1566,"1059":1567,"1060":1568,"1061":1570,"1062":1573,"1064":1577,"1066":1588,"1067":1590,"1068":1591,"1069":1593,"1070":1595,"1071":1597,"1072":1601,"1073":1602,"1074":1603,"1075":1615,"1076":1619,"1078":1628,"1079":1629,"1080":1641,"1082":1644,"1083":1653,"1084":1657,"1085":1659,"1086":1660,"1087":1661,"1088":1663,"1089":1664,"1090":1668,"1091":1673,"1092":1674,"1093":1676,"1094":1677,"1095":1679,"1096":1687,"1097":1691,"1098":1692,"1099":1693,"1100":1695,"1101":1699,"1102":1702,"1103":1703,"1104":1707,"1105":1708,"1106":1713,"1107":1714,"1108":1717,"1109":1722,"1110":1729,"1111":1735,"1112":1739,"1113":1744,"1115":1747,"1116":1748,"1117":1753,"1118":1754,"1119":1757,"1120":1761,"1121":1762,"1122":1767,"1123":1770,"1124":1778,"1126":1782,"1127":1783,"1128":1784,"1129":1786,"1130":1788,"1131":1789,"1132":1794,"1133":1797,"1134":1801,"1135":1802,"1136":1805,"1137":1807,"1139":1809,"1140":1810,"1141":1811,"1142":1818,"1143":1820,"1144":1821,"1145":1823,"1146":1824,"1147":1828,"1148":1829,"1149":1837,"1150":1838,"1151":1841,"1152":1844,"1153":1845,"1154":1846,"1155":1849,"1156":1852,"1157":1859,"1158":1861,"1159":1862,"1160":1863,"1161":1865,"1162":1867,"1164":1870,"1165":1871,"1166":1872,"1167":1876,"1168":1877,"1169":1878,"1170":1879,"1171":1882,"1172":1883,"1173":1889,"1174":1892,"1175":1895,"1176":1896,"1177":1897,"1178":1898,"1179":1904,"1180":1905,"1181":1906,"1182":1908,"1183":1909,"1185":1913,"1186":1914,"1187":1915,"1188":1916,"1189":1918,"1190":1919,"1191":1929,"1192":1933,"1193":1934,"1194":1935,"1195":1941,"1196":1942,"1197":1943,"1198":1946,"1199":1947,"1201":1950,"1202":1954,"1203":1958,"1204":1966,"1205":1970,"1206":1972,"1208":1976,"1209":1981,"1210":1983,"1211":1984,"1212":1985,"1213":1991,"1214":1992,"1215":1996,"1216":2000,"1217":2005,"1218":2010,"1220":2016,"1221":2019,"1222":2021,"1223":2023,"1224":2026,"1225":2027,"1226":2033,"1227":2034,"1228":2038,"1230":2042,"1232":2045,"1233":2046,"1234":2047},{"0":14,"1":16,"2":25,"3":31,"4":39,"7":48,"8":51,"9":57,"10":78,"11":82,"13":91,"15":100,"16":108,"17":113,"19":131,"21":152,"22":159,"23":162,"24":164,"25":165,"26":168,"27":179,"29":200,"30":204,"31":207,"32":226,"33":254,"34":259,"35":268,"36":271,"37":280,"38":283,"39":286,"40":293,"41":296,"42":298,"43":305,"44":306,"45":346,"46":350,"47":353,"48":359,"49":366,"50":369,"51":383,"52":387,"53":391,"54":392,"55":393,"56":400,"57":403,"58":416,"59":420,"60":425,"61":426,"62":430,"63":431,"64":436,"65":442,"66":448,"67":461,"68":469,"70":492,"71":504,"72":506,"73":509,"74":511,"75":514,"78":536,"79":548,"80":565,"81":577,"82":585,"83":588,"84":591,"85":595,"86":599,"87":607,"88":620,"89":628,"90":640,"91":641,"92":659,"93":661,"95":681,"97":685,"98":686,"99":708,"100":713,"102":718,"103":722,"104":734,"105":741,"106":744,"107":745,"108":746,"109":748,"110":757,"111":758,"112":765,"113":780,"114":781,"115":789,"116":791,"117":793,"118":795,"119":798,"120":804,"121":808,"123":811,"124":819,"125":828,"126":837,"127":848,"129":875,"130":878,"131":881,"134":896,"135":900,"136":901,"138":911,"139":926,"140":927,"141":931,"142":933,"143":939,"145":943,"146":948,"147":951,"148":954,"149":957,"150":959,"151":961,"152":975,"153":977,"154":982,"155":988,"156":990,"157":991,"158":1005,"159":1011,"160":1016,"161":1026,"162":1033,"163":1034,"164":1040,"165":1043,"166":1044,"167":1045,"168":1046,"169":1052,"170":1054,"172":1056,"173":1059,"174":1062,"175":1065,"176":1069,"177":1070,"178":1074,"179":1078,"180":1079,"181":1084,"182":1087,"183":1090,"184":1093,"185":1094,"186":1095,"187":1096,"188":1097,"189":1098,"190":1099,"191":1101,"192":1103,"193":1107,"194":1112,"195":1115,"196":1117,"197":1119,"198":1121,"199":1124,"200":1125,"201":1128,"202":1133,"204":1149,"206":1153,"207":1160,"208":1168,"209":1170,"210":1180,"211":1185,"212":1190,"213":1193,"214":1202,"215":1203,"216":1206,"217":1208,"218":1209,"219":1212,"220":1214,"221":1218,"222":1220,"223":1224,"224":1225,"225":1226,"226":1240,"227":1242,"228":1251,"229":1255,"230":1256,"231":1260,"232":1265,"233":1266,"234":1269,"236":1278,"237":1279,"238":1284,"239":1292,"240":1297,"241":1301,"242":1306,"243":1308,"244":1309,"245":1313,"246":1318,"247":1321,"248":1323,"249":1327,"250":1338,"251":1342,"252":1344,"253":1350,"254":1357,"255":1377,"256":1379,"257":1381,"258":1383,"259":1387,"260":1395,"261":1397,"263":1411,"264":1413,"265":1415,"266":1417,"267":1424,"268":1428,"269":1430,"271":1432,"273":1436,"274":1439,"275":1447,"276":1451,"277":1454,"278":1461,"279":1464,"280":1465,"281":1471,"282":1474,"283":1475,"285":1491,"286":1492,"287":1497,"288":1501,"289":1504,"290":1505,"291":1508,"292":1509,"293":1510,"294":1517,"295":1518,"296":1523,"297":1524,"298":1525,"299":1526,"300":1527,"301":1528,"303":1532,"304":1536,"305":1537,"306":1540,"307":1542,"308":1546,"309":1548,"310":1552,"312":1554,"314":1562,"315":1564,"316":1571,"317":1572,"318":1574,"319":1575,"320":1578,"321":1579,"322":1581,"323":1583,"324":1585,"325":1592,"326":1594,"327":1596,"328":1599,"329":1600,"330":1606,"331":1607,"332":1608,"333":1609,"334":1614,"335":1616,"336":1617,"337":1618,"338":1620,"339":1621,"340":1626,"341":1627,"343":1632,"345":1638,"346":1640,"347":1642,"348":1645,"349":1646,"350":1652,"351":1656,"352":1662,"353":1665,"354":1666,"355":1667,"357":1670,"358":1671,"359":1675,"360":1678,"361":1680,"362":1681,"363":1682,"364":1683,"365":1686,"366":1688,"367":1690,"368":1694,"369":1696,"370":1697,"371":1700,"372":1705,"373":1712,"374":1715,"375":1719,"376":1720,"377":1721,"378":1723,"379":1730,"380":1737,"381":1738,"382":1741,"383":1742,"384":1746,"385":1751,"386":1758,"387":1759,"388":1766,"389":1772,"390":1773,"391":1774,"393":1779,"394":1780,"395":1785,"396":1790,"398":1792,"399":1793,"400":1795,"401":1796,"402":1803,"403":1804,"404":1806,"405":1812,"406":1813,"407":1814,"408":1815,"409":1816,"410":1817,"411":1825,"412":1826,"413":1832,"414":1835,"415":1836,"416":1842,"417":1847,"418":1850,"419":1855,"421":1858,"422":1864,"423":1868,"424":1873,"425":1875,"426":1880,"427":1881,"428":1884,"429":1886,"430":1888,"431":1893,"432":1900,"433":1901,"434":1902,"435":1903,"436":1910,"437":1912,"438":1917,"439":1920,"440":1922,"442":1925,"444":1932,"445":1936,"446":1937,"447":1938,"448":1952,"449":1953,"450":1955,"451":1956,"452":1960,"454":1964,"455":1967,"456":1968,"457":1969,"458":1974,"459":1975,"460":1977,"461":1979,"463":1987,"464":1988,"465":1989,"466":1990,"467":1997,"468":1999,"469":2001,"472":2017,"473":2018,"474":2022,"475":2024,"476":2028,"477":2032,"478":2037,"479":2041},{"0":12,"1":17,"2":72,"3":81,"4":175,"5":189,"6":191,"8":429,"9":439,"10":465,"11":530,"12":532,"13":652,"14":768,"15":845,"16":1025,"17":1036,"18":1039,"19":1064,"20":1072,"21":1077,"22":1080,"23":1106,"24":1114,"25":1116,"26":1122,"28":1138,"29":1146,"30":1147,"31":1164,"32":1169,"33":1176,"34":1179,"35":1188,"36":1194,"37":1201,"38":1204,"39":1221,"40":1223,"41":1230,"42":1243,"43":1252,"44":1254,"45":1257,"46":1258,"47":1275,"48":1282,"49":1293,"50":1294,"51":1300,"52":1312,"53":1315,"54":1341,"56":1359,"57":1365,"58":1384,"59":1392,"60":1393,"61":1394,"62":1396,"63":1414,"64":1421,"65":1422,"66":1437,"68":1452,"69":1457,"70":1469,"71":1470,"72":1473,"74":1494,"75":1502,"76":1513,"77":1514,"78":1516,"79":1534,"80":1555,"81":1563,"82":1569,"83":1580,"84":1582,"85":1584,"86":1586,"87":1611,"89":1624,"90":1625,"91":1631,"92":1636,"93":1648,"94":1649,"95":1650,"96":1654,"97":1672,"98":1701,"99":1716,"100":1718,"101":1724,"102":1727,"103":1734,"104":1736,"105":1749,"106":1756,"107":1765,"108":1777,"109":1787,"110":1833,"111":1848,"112":1853,"113":1854,"114":1860,"115":1866,"116":1891,"117":1907,"118":1927,"119":1930,"120":1940,"121":1944,"122":1959,"123":1963,"125":1994,"126":2003,"127":2007,"128":2011,"129":2013,"130":2015,"131":2036},{"0":1030,"1":1075,"2":1091,"3":1100,"4":1102,"5":1109,"7":1157,"8":1159,"9":1174,"11":1192,"12":1207,"13":1210,"14":1235,"15":1238,"16":1264,"17":1267,"18":1268,"19":1276,"20":1290,"21":1296,"22":1302,"23":1317,"24":1325,"25":1326,"26":1334,"27":1340,"28":1380,"29":1423,"30":1427,"31":1449,"32":1480,"33":1485,"35":1515,"36":1521,"37":1539,"38":1589,"39":1639,"40":1658,"41":1685,"42":1698,"43":1706,"44":1711,"45":1732,"46":1733,"48":1755,"49":1760,"50":1764,"51":1771,"52":1798,"53":1800,"54":1830,"56":1843,"57":1874,"58":1890,"59":1899,"60":1951,"61":1957,"62":1971,"63":1993,"64":2006,"65":2020,"67":2039},{"0":1037,"1":1058,"2":1085,"5":1171,"6":1227,"7":1262,"8":1263,"9":1283,"10":1303,"12":1332,"13":1333,"14":1348,"16":1388,"17":1389,"18":1412,"19":1418,"20":1435,"21":1458,"22":1490,"23":1547,"24":1565,"25":1613,"26":1622,"27":1633,"29":1635,"30":1647,"32":1725,"33":1726,"34":1831,"35":1834,"37":1928,"38":1939,"39":1945,"40":1948,"44":2030},{"0":1031,"1":1038,"2":1067,"3":1130,"4":1163,"5":1197,"6":1250,"7":1288,"8":1343,"10":1356,"11":1361,"12":1375,"13":1386,"14":1402,"15":1441,"16":1610,"17":1689,"22":1887,"23":1921,"24":1926,"25":1962,"27":2044},{"0":1051,"1":1183,"2":1189,"6":1533,"7":1550,"9":1598,"17":1851,"19":2004,"20":2029},{"3":1328},{"2":1073},[],[],[]]