[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"11":12,"12":13,"13":14,"14":15,"16":17,"18":19,"19":20,"20":21,"22":23,"23":24,"24":25,"26":27,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":37,"38":41,"40":43,"41":44,"42":45,"43":46,"44":47,"47":50,"48":51,"50":53,"51":54,"53":57,"54":59,"56":61,"58":64,"59":65,"60":66,"61":67,"62":69,"63":70,"64":72,"65":73,"66":74,"67":75,"68":76,"69":77,"70":80,"71":81,"72":82,"73":83,"75":85,"76":86,"77":87,"78":88,"79":90,"80":91,"82":94,"83":95,"84":96,"85":97,"86":98,"88":100,"89":101,"90":102,"92":104,"93":105,"94":106,"96":108,"97":109,"98":110,"100":112,"101":113,"102":114,"106":118,"107":119,"108":120,"109":121,"110":122,"111":123,"112":124,"113":125,"114":127,"116":131,"117":132,"119":134,"123":140,"124":141,"126":143,"127":144,"128":145,"129":146,"131":148,"132":149,"134":151,"136":153,"137":154,"138":155,"139":156,"140":157,"142":159,"143":160,"144":162,"145":163,"146":164,"147":165,"148":167,"149":168,"150":169,"153":173,"154":174,"156":177,"157":178,"158":179,"159":180,"160":181,"161":182,"162":183,"163":185,"164":186,"165":187,"166":188,"167":191,"168":192,"169":193,"170":194,"171":195,"172":197,"173":198,"174":201,"175":205,"176":206,"178":208,"179":209,"180":210,"181":211,"182":212,"183":213,"184":214,"185":215,"186":216,"187":217,"191":221,"193":223,"197":227,"198":228,"205":235,"206":236,"207":237,"208":238,"209":239,"211":241,"212":242,"213":243,"214":244,"215":246,"216":247,"217":248,"218":249,"220":251,"221":252,"222":253,"223":254,"224":255,"225":256,"227":258,"231":262,"232":263,"233":264,"234":265,"236":267,"239":270,"240":271,"241":272,"243":274,"244":275,"247":278,"248":279,"249":280,"250":281,"252":283,"253":284,"254":285,"255":286,"256":288,"257":289,"258":290,"260":295,"261":296,"262":297,"263":298,"264":299,"265":300,"266":301,"267":302,"268":303,"269":304,"270":305,"271":306,"273":308,"274":309,"275":310,"276":312,"278":314,"279":315,"281":317,"282":318,"283":320,"286":323,"288":325,"290":327,"292":329,"293":330,"295":332,"296":333,"297":334,"298":335,"299":336,"300":338,"301":339,"302":340,"303":341,"304":342,"309":347,"311":349,"313":351,"314":353,"315":354,"316":355,"318":358,"319":359,"321":361,"322":363,"323":364,"324":365,"325":366,"326":367,"328":369,"330":371,"331":373,"334":376,"335":378,"336":379,"337":380,"338":381,"339":382,"340":383,"341":384,"342":385,"343":386,"344":387,"345":388,"346":389,"347":391,"348":392,"349":393,"350":394,"351":395,"352":397,"353":398,"354":399,"355":401,"356":402,"357":403,"358":405,"359":406,"360":408,"361":409,"362":410,"363":412,"364":413,"365":415,"367":417,"368":418,"369":419,"370":420,"372":423,"373":424,"374":425,"375":427,"376":429,"377":430,"378":432,"379":434,"380":435,"381":436,"382":437,"383":438,"384":439,"385":440,"386":441,"387":442,"388":443,"389":444,"390":445,"391":446,"392":448,"393":449,"394":450,"395":451,"396":452,"397":453,"398":454,"399":455,"400":456,"401":457,"402":458,"403":459,"404":460,"405":461,"406":462,"407":463,"408":464,"409":465,"410":467,"411":468,"412":469,"413":470,"414":471,"415":472,"416":474,"417":475,"418":476,"421":481,"422":482,"423":483,"424":484,"425":486,"426":488,"427":489,"428":490,"429":491,"430":493,"431":494,"432":495,"433":497,"435":499,"436":500,"437":502,"438":503,"439":504,"441":506,"442":507,"443":508,"444":509,"445":511,"446":512,"447":513,"448":514,"449":515,"451":517,"452":518,"453":519,"454":520,"456":522,"457":523,"458":524,"459":525,"460":526,"461":528,"462":530,"465":533,"466":534,"467":535,"469":537,"470":538,"471":539,"473":541,"474":542,"476":544,"477":545,"478":546,"479":547,"480":548,"481":549,"482":550,"483":551,"484":552,"485":553,"486":554,"487":555,"493":561,"494":562,"495":563,"496":564,"497":565,"498":566,"499":568,"504":573,"505":574,"506":575,"507":576,"508":578,"509":579,"511":582,"512":585,"514":587,"515":588,"516":589,"517":590,"518":591,"519":592,"520":594,"521":595,"522":597,"523":598,"525":600,"526":601,"527":602,"528":603,"529":604,"530":605,"531":606,"532":607,"533":609,"534":610,"538":614,"539":615,"540":616,"541":617,"545":623,"547":625,"548":626,"549":627,"551":629,"552":630,"553":631,"555":633,"556":634,"557":635,"558":636,"559":638,"560":639,"561":640,"562":641,"563":642,"566":645,"567":646,"568":647,"569":648,"570":650,"572":652,"573":653,"574":654,"575":655,"576":657,"578":659,"580":662,"581":663,"586":669,"587":670,"590":673,"591":674,"592":675,"593":677,"594":678,"595":680,"596":682,"597":683,"598":684,"599":685,"600":686,"601":688,"602":689,"603":690,"604":692,"605":693,"606":694,"607":695,"608":696,"609":697,"610":698,"611":699,"612":700,"613":702,"614":703,"615":704,"616":705,"617":706,"618":707,"619":708,"620":710,"621":711,"622":712,"623":713,"624":714,"625":715,"626":716,"627":717,"628":718,"629":720,"630":722,"631":723,"632":724,"633":725,"634":728,"635":729,"638":732,"639":733,"640":734,"641":735,"643":737,"645":739,"646":740,"647":741,"648":742,"649":743,"650":744,"651":745,"653":747,"654":748,"655":749,"657":751,"658":752,"659":753,"660":754,"662":756,"663":757,"664":758,"665":759,"666":760,"667":761,"668":762,"669":763,"670":764,"673":767,"674":769,"675":770,"676":771,"679":774,"680":775,"682":778,"683":779,"684":780,"685":782,"686":784,"687":785,"688":786,"689":787,"691":789,"692":790,"693":792,"694":793,"695":794,"696":795,"697":796,"698":797,"699":798,"700":800,"701":802,"702":803,"703":804,"704":805,"705":806,"706":807,"707":809,"709":811,"710":813,"711":814,"713":816,"720":823,"721":824,"722":825,"723":826,"724":827,"725":828,"726":829,"728":831,"729":832,"730":833,"731":834,"732":835,"734":837,"735":838,"736":840,"737":841,"739":843,"741":845,"742":846,"743":849,"744":851,"745":853,"746":854,"750":858,"751":859,"753":863,"755":865,"756":866,"757":867,"758":869,"761":872,"763":874,"764":875,"765":876,"767":878,"768":879,"770":881,"771":882,"772":883,"774":885,"775":886,"776":887,"777":888,"778":889,"779":890,"780":891,"781":893,"782":896,"783":897,"784":898,"786":900,"787":902,"788":903,"789":904,"790":905,"791":908,"792":911,"793":912,"794":913,"796":916,"797":917,"799":919,"800":920,"801":921,"802":922,"803":924,"804":926,"805":928,"806":929,"807":930,"808":931,"810":933,"811":934,"812":935,"813":936,"814":937,"815":938,"816":939,"817":940,"818":941,"819":942,"820":943,"822":945,"823":946,"824":947,"825":948,"826":950,"827":951,"828":952,"829":953,"830":954,"831":956,"833":959,"834":960,"835":961,"836":964,"838":967,"839":968,"840":970,"841":971,"842":972,"843":974,"844":975,"845":976,"846":977,"847":978,"848":979,"849":980,"850":981,"851":984,"852":985,"853":987,"854":988,"855":989,"856":990,"857":991,"858":992,"859":995,"860":996,"861":997,"862":998,"863":999,"864":1000,"865":1001,"866":1002,"867":1003,"869":1005,"870":1006,"871":1007,"872":1008,"873":1009,"874":1010,"875":1012,"876":1013,"877":1014,"878":1015,"879":1016,"880":1017,"881":1018,"882":1019,"883":1020,"884":1021,"885":1022,"886":1023,"887":1027,"888":1029,"889":1030,"890":1038,"891":1042,"892":1044,"893":1049,"896":1061,"897":1068,"898":1069,"899":1071,"900":1073,"901":1074,"902":1080,"903":1099,"904":1101,"905":1102,"906":1107,"907":1114,"908":1119,"909":1131,"910":1135,"911":1143,"912":1146,"913":1149,"914":1154,"915":1155,"916":1159,"917":1170,"918":1181,"919":1192,"920":1193,"921":1196,"922":1199,"923":1200,"924":1211,"925":1216,"926":1221,"927":1225,"929":1230,"930":1234,"931":1238,"932":1240,"933":1243,"934":1248,"935":1252,"936":1260,"937":1262,"938":1264,"939":1266,"940":1267,"941":1271,"942":1272,"943":1275,"944":1277,"945":1280,"946":1283,"947":1285,"948":1304,"949":1309,"950":1310,"951":1311,"952":1315,"953":1318,"954":1327,"955":1332,"956":1336,"957":1347,"958":1350,"959":1352,"960":1356,"961":1359,"962":1362,"963":1369,"964":1381,"965":1384,"966":1385,"967":1391,"968":1396,"969":1399,"970":1414,"971":1425,"972":1426,"973":1429,"974":1430,"975":1433,"976":1434,"977":1445,"978":1446,"979":1447,"980":1449,"981":1451,"982":1453,"983":1465,"984":1484,"985":1511,"986":1512,"987":1513,"988":1518,"989":1522,"990":1525,"991":1529,"992":1540,"993":1541,"994":1544,"995":1545,"996":1551,"997":1559,"998":1565,"999":1566,"1000":1568,"1001":1572,"1002":1574,"1003":1578,"1005":1607,"1006":1613,"1007":1614,"1008":1618,"1009":1622,"1010":1626,"1011":1629,"1012":1630,"1013":1631,"1014":1643,"1015":1644,"1016":1645,"1017":1648,"1018":1655,"1019":1656,"1020":1664,"1021":1668,"1022":1670,"1023":1673,"1024":1674,"1025":1676,"1026":1677,"1027":1679,"1028":1684,"1029":1687,"1030":1689,"1031":1690,"1032":1696,"1033":1698,"1034":1702,"1035":1704,"1036":1706,"1037":1711,"1038":1714,"1040":1719,"1041":1720,"1042":1727,"1043":1730,"1044":1733,"1045":1746,"1046":1750,"1047":1751,"1048":1766,"1049":1767,"1050":1773,"1051":1775,"1052":1781,"1053":1783,"1054":1787,"1055":1790,"1056":1794,"1057":1798,"1058":1807,"1059":1812,"1060":1813,"1061":1822,"1062":1824,"1063":1828,"1064":1833,"1065":1835,"1066":1838,"1067":1843,"1068":1846,"1069":1848,"1070":1851,"1071":1853,"1072":1854,"1073":1859,"1074":1862,"1075":1863,"1076":1864,"1077":1869,"1078":1872,"1079":1875,"1080":1876,"1081":1881,"1082":1882,"1083":1883,"1084":1886,"1085":1888,"1086":1889,"1087":1900,"1088":1903,"1089":1904,"1090":1909,"1091":1912,"1092":1916,"1093":1923,"1094":1927,"1095":1930,"1096":1932,"1097":1936,"1098":1943,"1099":1948,"1100":1949,"1101":1953,"1102":1956,"1103":1960,"1104":1966,"1105":1973,"1106":2003,"1107":2009,"1108":2011,"1109":2014,"1110":2016,"1111":2019,"1112":2032,"1113":2034,"1114":2036,"1115":2041,"1116":2046},{"0":6,"1":28,"2":36,"3":55,"4":62,"5":71,"6":78,"7":92,"8":126,"9":128,"10":137,"11":138,"12":161,"13":166,"14":172,"15":175,"16":184,"17":189,"18":190,"19":196,"20":199,"21":200,"22":202,"23":203,"24":204,"25":245,"26":291,"27":292,"28":294,"29":311,"30":337,"31":352,"32":356,"33":362,"34":372,"35":377,"36":390,"37":396,"38":400,"39":404,"40":407,"41":411,"42":414,"43":422,"44":426,"45":428,"46":431,"47":433,"48":447,"49":466,"50":473,"51":479,"52":480,"53":485,"54":487,"55":492,"56":501,"57":510,"58":527,"59":529,"60":567,"61":577,"62":581,"63":583,"64":593,"65":608,"66":618,"67":619,"68":637,"69":649,"70":656,"71":660,"72":665,"73":676,"74":679,"75":681,"76":687,"77":691,"78":701,"79":709,"80":719,"81":721,"82":726,"83":768,"84":781,"85":791,"86":799,"87":801,"88":808,"89":812,"90":839,"91":847,"92":848,"93":850,"94":852,"95":860,"96":862,"97":868,"98":892,"99":894,"100":895,"101":901,"102":906,"103":907,"104":909,"105":910,"106":915,"107":923,"108":927,"109":949,"110":955,"111":957,"112":962,"113":963,"114":969,"115":973,"116":982,"117":983,"118":993,"119":994,"120":1011,"121":1036,"122":1040,"123":1072,"124":1075,"125":1081,"126":1083,"127":1085,"129":1094,"130":1095,"131":1097,"132":1106,"133":1108,"134":1111,"135":1113,"136":1115,"137":1127,"138":1128,"139":1129,"141":1132,"142":1144,"143":1150,"145":1161,"146":1169,"147":1174,"148":1177,"149":1184,"150":1186,"151":1191,"152":1197,"153":1201,"154":1204,"155":1205,"156":1207,"157":1209,"160":1214,"161":1218,"162":1233,"163":1244,"164":1245,"166":1253,"167":1255,"169":1270,"170":1274,"171":1278,"172":1284,"173":1286,"174":1293,"175":1297,"176":1300,"177":1301,"178":1303,"179":1314,"180":1324,"181":1326,"182":1334,"183":1335,"184":1338,"185":1339,"186":1345,"187":1354,"188":1357,"189":1358,"190":1360,"191":1364,"192":1367,"193":1375,"194":1376,"195":1377,"196":1379,"197":1386,"198":1388,"199":1398,"200":1406,"201":1407,"202":1408,"203":1411,"204":1413,"205":1415,"206":1416,"207":1419,"208":1421,"209":1432,"210":1443,"211":1454,"212":1455,"213":1456,"214":1471,"215":1473,"216":1479,"217":1483,"218":1490,"219":1491,"220":1492,"221":1496,"222":1504,"223":1505,"224":1506,"225":1516,"226":1519,"227":1521,"228":1524,"229":1526,"230":1534,"232":1536,"233":1547,"234":1548,"235":1549,"236":1553,"237":1555,"238":1564,"239":1567,"240":1569,"241":1570,"242":1577,"243":1580,"244":1582,"245":1586,"246":1594,"247":1595,"248":1597,"249":1598,"250":1599,"251":1600,"252":1601,"253":1602,"254":1606,"255":1608,"256":1610,"257":1621,"258":1632,"260":1634,"261":1636,"262":1652,"263":1661,"264":1662,"265":1666,"266":1680,"267":1682,"268":1691,"269":1693,"270":1695,"271":1703,"272":1722,"273":1725,"274":1726,"275":1734,"276":1736,"277":1737,"278":1743,"279":1752,"280":1754,"281":1757,"282":1771,"283":1772,"284":1776,"285":1778,"286":1779,"287":1784,"289":1788,"290":1793,"292":1797,"293":1799,"294":1803,"295":1804,"296":1809,"297":1811,"298":1815,"299":1816,"300":1819,"301":1823,"303":1834,"304":1839,"305":1841,"306":1842,"307":1847,"308":1858,"309":1860,"310":1877,"311":1880,"312":1887,"313":1898,"314":1901,"315":1902,"316":1905,"317":1906,"318":1908,"319":1913,"320":1918,"321":1922,"322":1926,"323":1933,"324":1937,"325":1939,"326":1942,"327":1944,"328":1947,"329":1959,"330":1962,"331":1964,"332":1965,"333":1967,"334":1969,"335":1970,"336":1974,"337":1983,"338":1984,"340":1989,"341":1990,"342":1991,"343":1993,"344":2002,"345":2004,"346":2013,"347":2015,"349":2021,"350":2022,"351":2024,"352":2031,"353":2033,"354":2038,"355":2047},{"0":58,"1":68,"2":79,"3":89,"4":129,"5":287,"6":319,"7":496,"8":584,"9":596,"10":727,"11":776,"12":783,"13":925,"14":965,"15":986,"16":1035,"17":1055,"18":1057,"19":1058,"20":1064,"21":1082,"22":1110,"23":1118,"26":1125,"27":1156,"28":1160,"30":1183,"31":1189,"32":1190,"33":1202,"34":1203,"35":1224,"36":1257,"37":1261,"38":1288,"39":1290,"40":1305,"41":1312,"42":1333,"43":1346,"44":1370,"45":1372,"46":1390,"47":1392,"48":1393,"49":1418,"50":1439,"51":1442,"52":1464,"53":1475,"54":1476,"55":1482,"56":1493,"57":1497,"58":1498,"59":1501,"60":1509,"61":1520,"62":1542,"63":1550,"64":1552,"65":1558,"66":1562,"67":1571,"69":1579,"70":1589,"71":1603,"72":1611,"73":1612,"74":1619,"75":1625,"76":1627,"77":1628,"78":1639,"79":1641,"80":1642,"81":1653,"82":1658,"83":1678,"86":1717,"87":1729,"89":1738,"90":1747,"91":1789,"92":1805,"93":1830,"94":1857,"95":1870,"96":1871,"97":1891,"98":1895,"99":1896,"100":1907,"101":1919,"102":1928,"103":1931,"104":1941,"105":1945,"106":1955,"107":1977,"109":1995,"110":1996,"111":2017,"112":2030,"113":2040,"114":2045},{"0":1034,"1":1060,"2":1153,"3":1162,"4":1168,"6":1198,"7":1217,"9":1268,"10":1279,"11":1299,"13":1403,"14":1410,"15":1422,"16":1436,"18":1459,"20":1532,"21":1592,"22":1609,"23":1650,"24":1654,"25":1669,"26":1671,"29":1716,"30":1761,"31":1786,"32":1792,"33":1814,"34":1821,"35":1849,"36":1852,"38":1868,"39":1892,"40":1917,"41":1935,"42":1979,"43":1981,"44":1994,"45":2000,"46":2044},{"0":1032,"1":1046,"4":1062,"5":1087,"6":1089,"8":1141,"9":1148,"10":1167,"11":1178,"12":1187,"13":1188,"14":1194,"15":1247,"16":1273,"17":1313,"19":1361,"20":1378,"22":1424,"23":1444,"24":1460,"26":1533,"27":1556,"28":1561,"29":1573,"31":1591,"32":1617,"33":1620,"34":1637,"36":1701,"39":1800,"40":1802,"41":1810,"42":1818,"44":1961,"45":1963,"46":1971},{"0":1045,"1":1063,"4":1138,"5":1195,"6":1213,"7":1228,"8":1237,"10":1265,"12":1294,"13":1298,"14":1337,"15":1353,"16":1383,"17":1428,"19":1478,"20":1494,"21":1508,"23":1538,"24":1546,"25":1605,"26":1640,"27":1649,"28":1694,"31":1723,"32":1914,"33":1950,"34":1951,"35":1976,"36":1980,"37":1982,"38":1992},{"1":1043,"3":1076,"4":1112,"6":1157,"7":1185,"9":1232,"10":1236,"11":1239,"12":1250,"13":1259,"14":1295,"15":1322,"16":1366,"17":1374,"19":1423,"20":1470,"22":1514,"23":1531,"25":1583,"26":1659,"27":1740,"28":1749,"29":1769,"30":1777,"31":1796,"32":1836,"33":1837,"34":1856,"36":1957,"37":1985,"38":1998,"39":1999,"40":2001,"44":2042},{"1":1096,"2":1103,"3":1109,"4":1116,"6":1176,"7":1179,"8":1282,"9":1287,"10":1292,"11":1308,"13":1330,"14":1380,"17":1438,"18":1480,"19":1593,"20":1623,"21":1624,"23":1685,"24":1686,"25":1705,"27":1770,"28":1791,"32":1879,"33":1924,"34":2005,"35":2028},{"0":1024,"1":1033,"5":1088,"7":1180,"9":1222,"11":1256,"12":1291,"13":1306,"15":1341,"17":1458,"19":1466,"22":1517,"23":1537,"24":1616,"26":1647,"27":1681,"29":1712,"30":1721,"31":1731,"32":1748,"33":1801,"34":1817,"35":1826,"36":1867,"37":1910,"40":1975},{"0":1026,"1":1047,"3":1140,"4":1220,"5":1231,"6":1307,"7":1368,"8":1404,"10":1412,"11":1417,"13":1502,"17":1587,"18":1588,"20":1657,"22":1735,"23":1742,"24":1765,"25":1845,"26":1855,"27":1911,"31":1958,"32":2007,"33":2012,"35":2026},{"1":1122,"3":1223,"6":1344,"7":1431,"9":1463,"13":1543,"17":1756,"19":1820,"20":1840,"21":1844},{"0":1037,"16":1997},{"10":1692},[],[],[],[],[],[],[],[],[]]