[{"0":0,"1":1,"2":2,"3":4,"8":10,"9":11,"10":12,"11":13,"12":14,"14":18,"16":20,"17":21,"21":26,"23":28,"29":36,"32":39,"33":41,"34":42,"35":43,"36":44,"38":46,"39":48,"42":51,"43":52,"44":53,"45":54,"46":55,"50":59,"56":65,"57":66,"58":67,"59":68,"65":75,"68":78,"70":81,"71":82,"72":84,"75":88,"77":91,"79":93,"81":95,"84":98,"93":107,"94":108,"95":109,"96":110,"97":111,"98":112,"99":113,"100":114,"103":118,"105":120,"108":123,"109":124,"110":125,"112":127,"113":129,"115":132,"119":136,"121":139,"122":140,"123":141,"127":146,"130":150,"134":154,"135":155,"136":156,"139":159,"140":160,"141":161,"142":162,"143":163,"144":164,"145":166,"146":167,"148":170,"150":173,"152":175,"153":176,"156":179,"157":180,"158":181,"160":183,"164":187,"165":189,"167":192,"171":196,"172":197,"174":200,"175":201,"176":202,"177":203,"178":204,"179":205,"180":206,"183":209,"184":210,"186":212,"189":216,"190":217,"192":219,"194":223,"195":224,"196":225,"197":226,"200":230,"202":232,"205":235,"206":237,"207":238,"208":239,"209":240,"210":241,"211":242,"215":246,"221":252,"223":254,"226":257,"227":258,"228":259,"232":263,"234":266,"236":268,"237":269,"238":270,"241":274,"242":276,"243":277,"248":283,"249":284,"251":286,"252":287,"254":289,"256":291,"257":292,"258":294,"261":297,"262":298,"265":301,"267":303,"269":305,"271":307,"272":309,"275":313,"276":314,"278":316,"280":318,"282":320,"288":326,"290":328,"294":332,"297":336,"300":344,"301":345,"306":351,"307":352,"308":353,"310":355,"312":357,"313":358,"315":360,"322":369,"324":371,"325":372,"326":375,"327":377,"328":379,"330":381,"331":382,"333":384,"334":385,"336":387,"337":388,"338":389,"339":390,"340":392,"342":394,"346":399,"349":403,"350":404,"351":405,"353":408,"355":410,"357":412,"358":414,"359":415,"360":416,"362":420,"363":421,"364":422,"365":423,"366":424,"368":426,"370":428,"372":431,"375":435,"376":436,"377":438,"378":439,"379":440,"380":441,"381":442,"382":443,"383":444,"384":445,"386":447,"387":448,"388":449,"390":451,"392":454,"393":456,"395":458,"396":459,"398":461,"399":462,"400":463,"401":464,"403":466,"405":468,"406":469,"407":470,"408":471,"409":472,"410":473,"412":475,"413":476,"414":477,"415":478,"416":479,"417":480,"418":481,"419":482,"420":483,"423":487,"428":492,"431":496,"432":497,"433":498,"438":504,"440":506,"443":510,"447":514,"450":521,"454":526,"456":531,"457":532,"462":537,"465":540,"467":542,"468":543,"469":544,"471":546,"472":547,"473":548,"475":551,"477":553,"478":554,"481":558,"483":561,"484":562,"485":563,"487":566,"490":571,"491":572,"493":574,"497":579,"501":583,"502":584,"504":586,"506":588,"507":589,"508":590,"509":591,"511":593,"512":594,"513":595,"516":598,"517":599,"518":600,"519":602,"523":607,"525":609,"528":613,"529":614,"531":616,"532":617,"533":618,"534":619,"535":620,"537":622,"538":623,"539":624,"544":629,"545":630,"546":631,"552":637,"553":638,"558":643,"559":644,"560":645,"561":646,"562":647,"563":648,"565":650,"566":651,"572":658,"580":668,"581":669,"582":670,"584":672,"585":673,"589":677,"590":678,"593":681,"594":682,"595":683,"597":686,"598":687,"599":688,"600":689,"601":690,"603":693,"604":694,"606":696,"609":699,"610":700,"611":701,"612":702,"614":704,"616":706,"617":707,"618":708,"622":713,"623":715,"626":719,"628":721,"629":722,"630":724,"631":725,"633":727,"636":730,"637":731,"638":733,"640":735,"641":736,"643":738,"645":740,"647":744,"651":751,"652":752,"654":754,"655":755,"660":761,"662":763,"663":764,"664":765,"666":767,"668":770,"669":771,"671":773,"673":775,"675":778,"678":781,"679":782,"680":783,"683":787,"691":797,"692":798,"697":803,"699":806,"701":808,"706":813,"707":814,"708":815,"709":816,"711":818,"712":820,"715":823,"716":824,"718":826,"719":827,"722":830,"723":832,"728":840,"732":845,"733":846,"736":849,"737":850,"740":854,"741":855,"744":858,"745":859,"747":861,"749":864,"751":866,"753":869,"754":870,"756":873,"757":874,"758":875,"759":876,"760":877,"763":880,"768":885,"770":888,"771":889,"773":891,"777":895,"779":898,"780":899,"781":900,"782":901,"783":902,"786":905,"788":908,"789":910,"790":911,"791":912,"793":915,"796":918,"797":919,"798":920,"799":921,"800":923,"801":924,"803":926,"805":929,"806":930,"808":932,"809":933,"811":935,"812":936,"813":937,"815":939,"817":941,"818":943,"819":944,"823":948,"825":950,"826":951,"828":953,"830":955,"831":956,"833":958,"834":959,"837":964,"838":965,"840":967,"841":968,"842":969,"843":970,"844":971,"846":973,"849":976,"851":978,"852":979,"853":980,"854":981,"856":983,"858":986,"859":987,"860":988,"862":990,"863":991,"864":992,"867":997,"868":998,"869":999,"871":1001,"872":1002,"873":1003,"874":1005,"875":1006,"877":1008,"879":1010,"880":1011,"881":1012,"882":1013,"883":1014,"885":1016,"886":1017,"887":1018,"888":1019,"889":1020,"890":1021,"892":1023,"893":1033,"894":1042,"895":1051,"896":1054,"897":1063,"899":1080,"900":1083,"901":1087,"902":1099,"904":1104,"906":1110,"907":1119,"908":1120,"910":1128,"912":1147,"913":1149,"917":1168,"919":1191,"920":1195,"923":1201,"925":1221,"926":1226,"927":1227,"928":1228,"929":1229,"930":1235,"931":1236,"933":1242,"935":1253,"937":1256,"938":1262,"940":1278,"941":1285,"943":1312,"944":1314,"945":1330,"946":1331,"948":1338,"950":1350,"951":1359,"952":1361,"954":1374,"955":1378,"957":1388,"959":1391,"960":1396,"963":1429,"964":1431,"966":1438,"967":1462,"968":1468,"969":1471,"972":1476,"973":1478,"975":1487,"976":1489,"977":1495,"980":1503,"982":1530,"983":1534,"985":1538,"986":1543,"987":1547,"990":1570,"994":1600,"996":1613,"997":1619,"998":1622,"999":1625,"1000":1628,"1002":1634,"1004":1642,"1007":1662,"1008":1665,"1009":1667,"1011":1671,"1012":1673,"1014":1693,"1018":1711,"1019":1713,"1020":1715,"1023":1737,"1025":1748,"1026":1753,"1032":1790,"1033":1793,"1036":1816,"1037":1823,"1038":1834,"1040":1836,"1042":1842,"1048":1872,"1051":1891,"1052":1896,"1053":1898,"1054":1900,"1058":1928,"1059":1933,"1062":1939,"1064":1942,"1066":1950,"1067":1951,"1069":1962,"1070":1967,"1071":1969,"1074":1988,"1076":1996,"1079":2008,"1080":2010,"1081":2015,"1082":2029,"1083":2044},{"0":3,"1":9,"4":23,"8":47,"10":83,"11":86,"17":144,"18":148,"21":171,"22":188,"23":190,"24":198,"25":214,"26":220,"27":221,"28":227,"29":236,"31":272,"34":293,"35":308,"40":342,"41":343,"42":348,"44":367,"47":376,"50":398,"51":407,"53":418,"54":419,"55":430,"57":437,"60":494,"61":503,"62":507,"64":516,"65":518,"68":527,"70":530,"73":559,"75":578,"76":601,"80":667,"82":692,"84":714,"86":723,"87":732,"89":745,"92":759,"93":768,"94":777,"95":785,"101":833,"103":839,"104":844,"106":862,"113":922,"114":928,"118":985,"119":993,"121":1004,"122":1026,"123":1028,"126":1034,"127":1035,"128":1037,"129":1038,"130":1044,"131":1046,"133":1060,"134":1064,"135":1068,"137":1074,"139":1078,"141":1096,"143":1114,"145":1129,"146":1135,"148":1140,"150":1156,"151":1169,"152":1170,"153":1175,"154":1180,"156":1190,"157":1193,"158":1197,"159":1200,"162":1212,"163":1217,"165":1220,"167":1230,"170":1251,"171":1252,"176":1271,"177":1272,"178":1273,"179":1281,"182":1292,"184":1301,"189":1310,"191":1316,"192":1317,"193":1320,"194":1333,"195":1339,"196":1342,"199":1357,"201":1364,"202":1373,"204":1377,"205":1393,"207":1397,"208":1399,"209":1408,"210":1412,"211":1415,"212":1416,"213":1422,"214":1425,"216":1434,"217":1435,"218":1439,"219":1444,"220":1445,"221":1448,"222":1452,"223":1457,"224":1461,"228":1475,"229":1481,"230":1482,"231":1483,"233":1494,"235":1506,"236":1509,"240":1524,"241":1525,"247":1555,"249":1582,"251":1588,"252":1601,"253":1603,"254":1610,"255":1615,"256":1626,"262":1648,"263":1652,"264":1657,"266":1659,"267":1661,"268":1666,"269":1668,"270":1677,"271":1679,"273":1684,"276":1696,"279":1704,"281":1706,"283":1717,"284":1718,"289":1746,"290":1749,"292":1754,"294":1769,"295":1774,"298":1791,"299":1792,"300":1800,"302":1803,"303":1806,"304":1814,"306":1819,"307":1820,"308":1830,"310":1833,"311":1848,"312":1849,"313":1870,"315":1901,"316":1911,"317":1914,"319":1919,"320":1924,"322":1929,"326":1949,"328":1953,"329":1963,"333":1977,"334":1980,"338":1987,"341":1998,"342":2001,"343":2004,"346":2018,"349":2027,"350":2030,"351":2033,"353":2039,"354":2040},{"0":80,"2":401,"4":569,"9":1041,"10":1047,"11":1057,"13":1059,"14":1065,"15":1077,"16":1081,"17":1085,"18":1086,"19":1088,"20":1091,"21":1093,"22":1095,"23":1107,"24":1118,"25":1121,"26":1127,"27":1131,"28":1134,"29":1150,"30":1152,"31":1155,"32":1160,"33":1165,"34":1166,"35":1181,"36":1202,"37":1203,"38":1209,"39":1210,"40":1222,"41":1231,"42":1239,"43":1263,"45":1282,"46":1291,"47":1296,"48":1299,"49":1309,"52":1328,"53":1336,"54":1343,"56":1353,"57":1354,"58":1383,"60":1398,"61":1401,"62":1403,"65":1418,"66":1420,"67":1427,"68":1437,"69":1453,"71":1492,"72":1496,"75":1532,"77":1560,"78":1561,"79":1564,"80":1569,"81":1571,"82":1572,"84":1594,"85":1604,"86":1606,"87":1617,"89":1650,"90":1653,"91":1656,"92":1674,"93":1675,"94":1676,"95":1678,"96":1683,"97":1707,"98":1719,"99":1721,"101":1726,"102":1730,"103":1740,"105":1743,"106":1744,"107":1756,"108":1760,"110":1780,"111":1789,"112":1795,"113":1804,"114":1805,"115":1807,"116":1809,"117":1810,"118":1826,"119":1839,"120":1843,"121":1846,"125":1873,"126":1878,"127":1880,"129":1907,"131":1917,"132":1918,"134":2006,"135":2031,"136":2043,"137":2047},{"0":1036,"1":1061,"2":1066,"3":1084,"4":1092,"5":1097,"6":1098,"7":1101,"8":1102,"9":1103,"10":1113,"12":1132,"14":1158,"15":1172,"16":1177,"17":1185,"18":1187,"19":1205,"20":1214,"21":1246,"22":1249,"24":1286,"26":1297,"27":1302,"28":1305,"29":1313,"30":1325,"31":1326,"32":1341,"34":1348,"35":1356,"37":1363,"38":1376,"39":1387,"40":1394,"42":1407,"43":1417,"45":1447,"46":1450,"49":1460,"50":1486,"51":1497,"52":1505,"53":1510,"55":1548,"56":1549,"57":1550,"58":1551,"59":1552,"60":1558,"61":1559,"62":1565,"63":1577,"64":1580,"66":1614,"67":1618,"68":1620,"69":1621,"70":1627,"73":1644,"74":1702,"75":1708,"76":1729,"77":1731,"78":1733,"80":1741,"81":1745,"82":1750,"83":1776,"84":1788,"85":1811,"86":1818,"87":1825,"88":1837,"89":1845,"90":1847,"91":1856,"92":1857,"93":1859,"94":1871,"95":1874,"96":1875,"97":1882,"99":1915,"100":1931,"101":1947,"102":1954,"103":1956,"104":1983,"105":1989,"106":2003,"107":2007,"108":2023,"109":2036,"110":2041},{"0":1029,"1":1075,"3":1105,"4":1106,"5":1112,"6":1124,"8":1159,"9":1161,"10":1179,"12":1188,"13":1189,"14":1192,"15":1204,"17":1219,"18":1232,"19":1234,"20":1237,"21":1247,"22":1259,"23":1269,"24":1283,"25":1284,"26":1295,"27":1311,"28":1329,"29":1332,"30":1344,"31":1346,"32":1371,"35":1386,"36":1430,"37":1440,"38":1441,"40":1446,"42":1479,"43":1502,"44":1517,"45":1521,"46":1535,"47":1540,"48":1544,"49":1562,"50":1568,"51":1575,"52":1599,"53":1602,"54":1608,"55":1609,"56":1612,"57":1630,"58":1638,"59":1651,"60":1660,"62":1685,"63":1687,"65":1703,"66":1712,"67":1752,"71":1785,"72":1797,"73":1798,"74":1808,"75":1817,"76":1822,"77":1824,"80":1876,"83":1889,"84":1890,"85":1895,"86":1902,"87":1908,"88":1909,"90":1920,"91":1926,"92":1927,"94":1946,"95":1955,"97":1994,"99":2021,"100":2034,"101":2042},{"0":1027,"1":1039,"2":1040,"5":1122,"6":1126,"7":1136,"8":1143,"9":1157,"10":1167,"12":1173,"13":1174,"15":1206,"16":1216,"17":1240,"19":1264,"20":1280,"21":1294,"22":1318,"23":1322,"24":1327,"25":1358,"26":1402,"27":1424,"28":1449,"29":1456,"30":1463,"31":1466,"32":1467,"33":1484,"34":1490,"35":1504,"37":1513,"38":1522,"39":1529,"40":1533,"42":1557,"43":1563,"44":1574,"46":1597,"47":1623,"48":1629,"49":1636,"50":1640,"51":1645,"52":1663,"53":1670,"54":1680,"55":1686,"59":1758,"61":1765,"62":1768,"63":1773,"64":1781,"65":1783,"67":1812,"69":1828,"70":1832,"73":1855,"74":1860,"75":1884,"76":1887,"77":1892,"78":1897,"79":1899,"80":1913,"81":1930,"82":1958,"83":1972,"86":1995,"87":2000,"88":2026,"89":2037,"90":2046},{"0":1053,"1":1062,"3":1073,"4":1094,"5":1108,"6":1115,"7":1138,"9":1163,"10":1164,"11":1176,"12":1184,"13":1241,"14":1275,"15":1351,"17":1370,"18":1379,"19":1381,"20":1384,"21":1405,"22":1421,"23":1442,"24":1451,"25":1491,"26":1508,"28":1518,"29":1531,"30":1554,"31":1579,"32":1589,"33":1593,"34":1624,"35":1672,"36":1692,"37":1695,"39":1761,"40":1771,"41":1813,"42":1838,"44":1858,"46":1864,"48":1964,"50":1990,"51":2005,"53":2016,"55":2024,"56":2035},{"0":1024,"3":1055,"4":1056,"5":1072,"6":1116,"8":1194,"10":1244,"11":1277,"12":1298,"14":1349,"15":1366,"16":1413,"18":1423,"20":1480,"23":1581,"25":1682,"26":1770,"28":1893,"30":1945,"31":1992},{"1":1089,"3":1274,"4":1365,"6":1465,"8":1586,"10":1616,"11":1689,"13":1720,"14":1734,"15":1735,"16":1881,"19":2020,"20":2028,"21":2032},{"0":1225,"2":1515,"3":1755,"4":1794,"5":1961},{"1":1130,"3":1392,"4":1853,"5":1905,"6":1968},{"1":1288,"3":1369,"4":1409},{"3":1279},[1257],[],[],[]]