[{"0":0,"1":1,"3":3,"5":6,"7":8,"8":9,"10":12,"11":13,"12":14,"14":16,"15":18,"16":19,"19":22,"22":27,"23":28,"24":29,"29":34,"31":36,"33":39,"34":40,"35":41,"37":43,"38":44,"39":45,"40":46,"41":47,"42":48,"44":50,"46":52,"47":53,"48":54,"49":55,"50":56,"53":59,"54":60,"55":61,"57":63,"58":64,"59":65,"61":67,"63":69,"65":71,"68":74,"70":76,"71":78,"73":80,"76":83,"77":84,"80":87,"84":92,"88":96,"89":97,"90":98,"91":99,"92":100,"93":101,"95":103,"98":106,"102":110,"105":114,"109":120,"111":125,"112":126,"114":128,"115":129,"116":130,"117":131,"118":133,"119":134,"120":135,"122":137,"123":138,"124":139,"125":140,"126":142,"128":145,"130":147,"131":148,"132":149,"134":151,"141":159,"143":161,"148":166,"149":167,"153":172,"155":174,"160":180,"161":181,"162":182,"163":183,"164":184,"165":185,"166":187,"168":189,"169":191,"172":197,"177":202,"179":204,"181":206,"182":208,"183":210,"184":211,"185":212,"186":213,"188":215,"191":221,"192":222,"193":223,"194":224,"195":225,"196":226,"198":228,"199":229,"201":231,"204":236,"205":237,"209":243,"210":244,"211":245,"212":246,"213":249,"218":254,"222":258,"224":260,"226":262,"228":264,"229":265,"230":267,"231":268,"233":272,"235":274,"237":276,"238":278,"239":279,"240":280,"244":286,"245":288,"247":290,"249":292,"250":293,"251":294,"253":296,"256":299,"257":300,"259":302,"260":304,"261":305,"262":306,"263":307,"264":308,"265":309,"266":312,"268":314,"270":318,"271":319,"273":322,"274":323,"275":324,"276":326,"277":327,"279":329,"280":330,"281":331,"283":333,"284":336,"287":340,"288":341,"290":343,"291":344,"292":345,"294":347,"296":349,"297":350,"298":351,"301":354,"302":355,"303":356,"304":357,"307":361,"308":362,"310":364,"311":365,"312":366,"313":368,"314":370,"316":372,"318":374,"319":376,"321":378,"323":513,"324":514,"325":515,"327":517,"329":519,"332":523,"333":524,"339":530,"342":534,"343":535,"345":537,"346":538,"348":540,"349":541,"351":543,"353":545,"355":548,"360":553,"362":555,"364":557,"365":560,"366":561,"367":562,"371":566,"373":568,"376":571,"379":575,"381":577,"382":578,"384":580,"385":581,"386":582,"387":583,"388":584,"389":585,"391":587,"392":588,"393":589,"394":590,"395":592,"396":593,"400":598,"403":601,"404":602,"407":605,"409":607,"411":609,"416":614,"417":615,"418":616,"419":617,"420":618,"422":620,"425":623,"426":624,"428":626,"429":627,"431":630,"432":631,"434":636,"435":637,"436":638,"438":640,"439":641,"441":645,"442":646,"443":648,"444":649,"445":650,"446":651,"450":655,"451":656,"452":657,"453":658,"454":660,"455":661,"456":663,"458":665,"459":666,"462":670,"465":673,"466":674,"467":675,"468":677,"470":680,"473":683,"474":684,"475":685,"477":687,"481":692,"482":693,"487":698,"490":701,"494":707,"496":709,"498":711,"499":712,"505":718,"507":720,"508":722,"509":723,"510":724,"512":726,"514":728,"515":729,"517":731,"518":732,"523":738,"527":742,"529":744,"530":745,"536":751,"542":757,"543":758,"545":760,"547":764,"549":768,"552":771,"553":772,"554":773,"555":774,"556":775,"559":778,"562":781,"565":784,"567":786,"568":787,"574":793,"575":794,"576":795,"577":797,"579":800,"580":801,"583":806,"584":807,"586":809,"588":813,"590":815,"591":816,"593":818,"594":820,"595":821,"596":822,"598":824,"600":826,"601":827,"602":830,"604":832,"605":833,"607":835,"608":837,"611":841,"612":842,"614":844,"619":850,"620":851,"621":852,"622":854,"625":857,"627":859,"629":862,"630":864,"631":865,"632":866,"638":873,"639":874,"642":878,"644":880,"645":881,"647":883,"649":887,"652":890,"653":891,"654":892,"655":1029,"656":1031,"657":1045,"659":1070,"660":1077,"661":1098,"662":1100,"663":1109,"665":1117,"666":1123,"668":1166,"669":1168,"670":1173,"671":1174,"672":1177,"673":1178,"674":1222,"675":1228,"676":1254,"677":1286,"678":1294,"680":1318,"682":1348,"683":1354,"684":1356,"685":1367,"686":1372,"687":1375,"689":1382,"690":1389,"692":1391,"694":1395,"695":1402,"696":1418,"697":1432,"698":1437,"699":1439,"702":1458,"703":1462,"704":1470,"705":1475,"706":1491,"707":1494,"708":1496,"709":1497,"710":1503,"711":1546,"712":1553,"713":1555,"714":1567,"715":1577,"716":1584,"717":1588,"718":1592,"719":1607,"720":1648,"724":1677,"725":1681,"727":1687,"728":1693,"729":1696,"730":1700,"731":1702,"732":1707,"733":1710,"734":1713,"735":1734,"736":1748,"737":1754,"738":1764,"740":1771,"741":1779,"742":1781,"744":1789,"746":1813,"751":1845,"752":1849,"755":1865,"756":1866,"757":1869,"758":1913,"761":1945,"763":1957,"765":1991,"766":1995,"767":2007,"768":2010,"769":2020,"770":2021,"771":2031,"772":2032,"774":2039,"776":2042},{"0":5,"3":24,"4":26,"5":37,"7":90,"8":112,"9":116,"10":119,"11":121,"12":122,"14":141,"15":144,"17":178,"18":186,"19":190,"20":192,"21":193,"22":194,"23":207,"24":209,"25":216,"26":219,"27":220,"28":232,"29":234,"31":241,"34":270,"35":277,"36":282,"37":283,"38":287,"39":303,"40":310,"41":311,"42":315,"43":316,"44":321,"45":325,"46":334,"47":335,"48":337,"49":358,"50":369,"51":375,"52":379,"55":388,"56":389,"60":393,"61":394,"63":399,"64":400,"66":403,"68":407,"69":408,"71":410,"74":413,"76":416,"77":417,"81":422,"82":423,"83":424,"86":427,"92":437,"100":446,"101":447,"102":448,"105":452,"107":456,"108":458,"112":465,"116":469,"118":471,"121":475,"124":478,"126":480,"129":486,"130":487,"134":493,"136":495,"137":496,"138":497,"139":498,"141":500,"145":504,"146":505,"151":510,"153":512,"154":533,"155":558,"156":559,"157":572,"158":591,"159":595,"160":628,"161":633,"163":635,"166":659,"168":668,"169":676,"170":679,"171":689,"172":702,"173":704,"174":721,"178":766,"179":767,"180":796,"181":798,"182":802,"183":804,"184":811,"186":828,"187":829,"188":836,"191":853,"192":860,"193":863,"194":871,"195":876,"196":884,"197":886,"200":895,"201":897,"202":898,"205":904,"206":905,"207":906,"208":907,"212":913,"213":914,"214":915,"218":922,"219":924,"220":925,"222":927,"223":929,"224":930,"225":931,"229":938,"230":939,"232":942,"235":949,"237":952,"240":955,"241":956,"242":957,"243":959,"244":961,"247":964,"248":965,"250":967,"251":968,"254":971,"257":975,"259":978,"262":984,"264":986,"266":993,"267":994,"270":997,"271":999,"272":1000,"273":1001,"274":1002,"276":1004,"277":1007,"278":1009,"280":1011,"281":1012,"282":1013,"283":1014,"284":1015,"286":1018,"287":1019,"288":1021,"294":1051,"296":1084,"299":1119,"300":1124,"301":1126,"302":1129,"303":1134,"304":1144,"305":1150,"306":1153,"307":1155,"308":1163,"309":1164,"311":1181,"312":1183,"314":1193,"315":1195,"316":1203,"318":1210,"323":1239,"324":1246,"325":1275,"326":1279,"327":1280,"328":1283,"329":1289,"330":1295,"333":1307,"334":1308,"336":1321,"337":1326,"338":1334,"339":1339,"340":1341,"342":1358,"344":1368,"345":1379,"346":1388,"347":1398,"348":1399,"349":1415,"350":1420,"351":1423,"352":1425,"353":1429,"356":1446,"358":1484,"359":1489,"361":1508,"362":1509,"364":1514,"367":1530,"370":1544,"371":1547,"373":1562,"375":1566,"376":1569,"377":1571,"378":1575,"379":1580,"380":1591,"381":1596,"382":1603,"385":1624,"387":1629,"388":1649,"389":1650,"390":1651,"391":1668,"392":1670,"393":1672,"394":1676,"395":1679,"396":1685,"397":1688,"400":1717,"401":1719,"403":1735,"406":1767,"409":1792,"411":1800,"412":1814,"413":1817,"414":1821,"415":1822,"416":1826,"417":1828,"418":1834,"419":1841,"420":1853,"423":1861,"424":1863,"425":1864,"426":1873,"427":1875,"428":1882,"429":1888,"430":1892,"431":1898,"432":1899,"433":1905,"434":1916,"436":1925,"438":1942,"439":1948,"440":1953,"441":1960,"442":1973,"443":1975,"444":1985,"445":1990,"447":2001,"449":2014,"450":2044},{"0":132,"1":158,"2":248,"3":367,"4":383,"5":384,"7":386,"8":387,"9":395,"10":396,"11":398,"12":401,"13":404,"14":405,"15":414,"19":434,"20":436,"21":439,"22":451,"23":453,"24":454,"25":457,"26":460,"27":461,"28":464,"29":472,"30":481,"31":483,"32":484,"33":489,"34":490,"35":520,"36":547,"37":642,"38":810,"39":896,"40":899,"41":900,"42":903,"43":909,"44":910,"45":916,"46":918,"47":919,"49":932,"50":933,"51":934,"52":941,"53":943,"54":945,"55":946,"56":948,"57":951,"58":958,"59":960,"60":972,"61":976,"64":983,"65":987,"66":988,"67":989,"68":990,"69":992,"70":998,"71":1005,"75":1025,"76":1048,"77":1065,"78":1067,"79":1088,"80":1089,"81":1112,"84":1121,"86":1136,"87":1138,"88":1140,"90":1157,"91":1176,"92":1179,"95":1189,"96":1199,"97":1207,"99":1231,"101":1248,"102":1250,"103":1251,"104":1256,"106":1266,"107":1267,"109":1284,"111":1288,"114":1310,"115":1317,"117":1359,"119":1364,"120":1380,"121":1397,"122":1405,"125":1427,"126":1445,"131":1490,"132":1495,"134":1518,"135":1525,"136":1533,"137":1548,"138":1559,"139":1564,"140":1565,"141":1576,"142":1578,"143":1602,"145":1613,"147":1632,"148":1634,"149":1641,"150":1642,"153":1664,"154":1669,"155":1678,"156":1683,"157":1689,"158":1695,"159":1697,"160":1708,"161":1712,"162":1721,"163":1726,"166":1746,"167":1753,"169":1763,"170":1765,"171":1769,"172":1773,"173":1777,"174":1778,"175":1791,"176":1794,"178":1809,"179":1823,"180":1825,"181":1840,"183":1855,"185":1862,"187":1890,"188":1901,"189":1903,"190":1908,"191":1912,"193":1934,"197":1968,"198":1969,"199":1988,"201":2013,"202":2015,"203":2024,"205":2041,"206":2047},{"0":266,"1":923,"2":1020,"3":1026,"4":1027,"5":1042,"6":1053,"7":1073,"8":1074,"9":1082,"11":1101,"12":1116,"13":1151,"14":1156,"16":1200,"17":1206,"18":1208,"19":1212,"21":1234,"22":1252,"23":1265,"24":1268,"25":1272,"26":1315,"27":1316,"28":1322,"29":1323,"30":1333,"31":1335,"33":1365,"34":1384,"35":1400,"36":1404,"37":1416,"38":1428,"39":1430,"44":1488,"46":1513,"47":1515,"48":1516,"49":1529,"51":1552,"52":1556,"53":1570,"58":1601,"59":1617,"61":1640,"63":1680,"64":1684,"65":1731,"66":1736,"67":1744,"68":1756,"69":1759,"70":1760,"71":1801,"72":1811,"73":1831,"75":1838,"76":1881,"77":1884,"78":1885,"81":1950,"82":1952,"83":1976,"84":1986,"85":1994,"86":2016,"87":2022,"88":2025,"89":2027,"90":2033,"91":2034},{"1":1054,"3":1076,"4":1083,"5":1091,"6":1102,"7":1113,"8":1137,"9":1152,"10":1162,"12":1211,"16":1236,"18":1319,"19":1324,"20":1325,"21":1327,"22":1338,"23":1340,"24":1373,"26":1387,"27":1438,"32":1483,"33":1505,"35":1536,"36":1545,"37":1549,"38":1550,"39":1573,"41":1595,"44":1620,"45":1628,"46":1659,"47":1663,"48":1690,"49":1718,"52":1739,"53":1757,"55":1785,"56":1793,"57":1803,"58":1818,"59":1829,"60":1846,"61":1871,"62":1879,"63":1891,"64":1897,"65":1906,"66":1907,"67":1943,"68":1964,"70":1967,"71":1970,"72":2030},{"0":1041,"1":1056,"2":1085,"6":1230,"8":1253,"9":1276,"12":1329,"13":1336,"14":1350,"15":1374,"16":1401,"17":1417,"18":1419,"22":1519,"23":1539,"24":1594,"25":1600,"26":1625,"27":1633,"28":1635,"30":1652,"31":1666,"33":1758,"34":1790,"38":1856,"39":1877,"41":1902,"43":1927,"44":1932,"46":1946,"47":1962,"49":2028,"50":2043},{"3":1099,"4":1103,"5":1132,"6":1139,"8":1242,"9":1258,"10":1281,"12":1381,"16":1469,"17":1478,"18":1480,"21":1568,"23":1586,"24":1587,"25":1609,"26":1612,"28":1636,"29":1637,"32":1692,"34":1723,"35":1750,"37":1820,"38":1833,"39":1887,"48":2037},{"0":1052,"5":1148,"7":1196,"8":1233,"9":1271,"10":1285,"11":1290,"12":1293,"15":1332,"19":1426,"21":1479,"22":1485,"32":1728,"33":1730,"35":1740,"36":1780,"37":1816,"41":1930,"43":1977},{"1":1078,"5":1188,"11":1262,"14":1309,"17":1355,"18":1371,"20":1431,"23":1520,"28":1958,"30":2038},{"1":1033,"3":1038,"4":1090,"9":1273,"10":1302,"16":1541,"17":1715,"26":1989},{"1":1036,"6":1105,"9":1187,"12":1344,"19":1474,"26":1618,"27":1619,"28":1627,"29":1665,"36":1944},{"2":1142,"4":1194,"16":1701},{"3":1159,"18":1761,"22":1955,"24":1978},{"13":1639,"15":1732,"19":1843},{"2":1209,"14":1772},{"2":1125},[],[],[],[],[],[],[],[],[]]