[{"0":0,"1":2,"2":3,"3":4,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"12":13,"14":15,"15":16,"16":18,"19":22,"20":23,"21":24,"23":26,"24":27,"29":35,"33":39,"34":40,"35":42,"36":43,"38":45,"39":46,"41":48,"42":49,"43":50,"44":51,"49":57,"51":59,"52":60,"53":61,"54":62,"55":63,"57":65,"59":67,"60":68,"61":69,"64":74,"65":75,"71":81,"72":84,"73":85,"74":86,"75":87,"76":88,"77":89,"78":90,"80":93,"81":94,"83":96,"85":99,"87":102,"89":104,"90":105,"91":106,"92":107,"93":109,"94":110,"95":112,"96":113,"97":114,"98":115,"99":116,"100":117,"101":118,"102":120,"103":121,"104":122,"105":124,"106":125,"107":126,"108":127,"109":128,"110":130,"112":132,"114":134,"115":135,"122":142,"124":144,"126":146,"128":148,"129":149,"131":153,"133":155,"134":156,"135":157,"137":159,"140":162,"143":165,"146":169,"148":171,"149":172,"151":177,"152":178,"153":180,"154":181,"155":183,"156":184,"157":185,"159":187,"161":190,"162":191,"164":193,"166":195,"167":196,"169":199,"173":203,"175":205,"177":207,"178":208,"179":209,"182":212,"183":213,"184":214,"185":215,"188":218,"190":220,"193":226,"194":230,"195":231,"197":233,"198":234,"199":236,"201":238,"202":239,"204":241,"205":242,"206":243,"207":244,"209":246,"211":249,"213":252,"214":253,"215":254,"217":256,"218":257,"219":258,"220":259,"221":260,"225":266,"226":267,"227":268,"228":269,"230":271,"231":272,"233":274,"234":276,"235":279,"237":281,"238":286,"239":287,"240":288,"241":290,"243":292,"244":293,"246":295,"249":299,"250":300,"251":301,"253":303,"254":305,"255":307,"256":312,"259":316,"260":318,"261":319,"262":320,"263":321,"264":322,"265":323,"267":325,"268":328,"269":329,"271":331,"273":334,"275":336,"276":337,"277":338,"278":339,"281":342,"283":345,"286":348,"287":350,"289":512,"291":515,"293":517,"294":518,"295":520,"296":521,"297":522,"301":526,"303":532,"304":533,"305":534,"309":539,"314":546,"315":547,"316":548,"317":550,"319":553,"320":555,"322":557,"325":560,"326":561,"327":562,"329":566,"330":567,"331":568,"332":569,"333":570,"334":571,"336":573,"337":574,"339":576,"341":578,"342":580,"344":582,"345":584,"347":586,"349":588,"350":589,"351":590,"353":592,"354":593,"355":594,"357":596,"358":597,"359":598,"366":608,"367":609,"368":611,"369":612,"370":613,"371":614,"372":615,"373":616,"374":618,"375":619,"377":621,"378":622,"381":625,"383":627,"384":628,"385":629,"386":630,"388":633,"389":634,"391":636,"392":638,"393":639,"394":642,"398":646,"399":647,"400":648,"401":649,"402":650,"403":651,"404":652,"407":655,"408":656,"410":658,"413":662,"414":663,"416":665,"417":666,"418":667,"422":671,"423":672,"424":673,"425":674,"426":675,"428":677,"429":678,"430":679,"432":681,"434":683,"435":684,"436":685,"437":687,"438":688,"439":689,"440":690,"441":691,"442":693,"443":694,"444":695,"445":696,"446":697,"447":698,"449":700,"450":701,"451":702,"453":704,"454":705,"455":706,"458":710,"459":711,"461":713,"462":714,"463":715,"464":716,"466":718,"467":719,"468":720,"469":721,"470":722,"471":723,"473":725,"475":727,"478":731,"482":735,"483":737,"484":740,"488":744,"490":747,"491":749,"492":750,"494":752,"495":753,"496":754,"498":756,"501":760,"502":764,"503":765,"504":766,"506":768,"508":771,"509":775,"510":776,"511":777,"513":779,"515":782,"516":783,"517":785,"519":788,"520":789,"521":790,"522":791,"523":792,"524":793,"525":794,"526":795,"527":796,"528":797,"529":799,"530":800,"531":802,"532":803,"533":805,"534":806,"535":807,"536":809,"537":810,"539":812,"541":814,"543":816,"544":817,"545":818,"546":821,"547":822,"548":823,"550":826,"551":827,"552":828,"553":829,"554":830,"555":831,"557":833,"558":835,"559":837,"560":838,"561":839,"565":845,"566":846,"568":848,"569":849,"570":850,"571":851,"572":853,"573":855,"574":856,"575":857,"576":858,"577":860,"578":861,"579":862,"580":863,"581":864,"582":1031,"583":1036,"584":1045,"585":1063,"586":1064,"590":1087,"591":1089,"592":1091,"593":1096,"594":1105,"595":1108,"596":1122,"597":1131,"598":1135,"599":1141,"600":1157,"602":1164,"603":1166,"604":1168,"605":1170,"607":1190,"608":1199,"609":1200,"610":1214,"611":1218,"612":1221,"613":1227,"614":1228,"615":1246,"616":1251,"617":1261,"618":1264,"619":1291,"620":1296,"621":1298,"622":1299,"623":1303,"624":1323,"625":1331,"626":1332,"628":1343,"630":1347,"631":1349,"632":1358,"634":1364,"635":1366,"636":1367,"637":1368,"639":1375,"640":1388,"641":1391,"642":1407,"643":1413,"644":1418,"645":1439,"646":1440,"647":1441,"648":1451,"649":1452,"650":1457,"651":1458,"652":1465,"653":1466,"654":1467,"655":1470,"656":1477,"657":1485,"659":1494,"660":1519,"661":1522,"662":1531,"663":1550,"666":1574,"667":1575,"670":1606,"671":1608,"672":1618,"674":1642,"677":1657,"678":1663,"679":1673,"680":1674,"682":1683,"683":1695,"684":1697,"685":1699,"687":1725,"688":1726,"689":1731,"690":1735,"691":1737,"692":1748,"693":1752,"694":1776,"695":1778,"696":1784,"698":1816,"699":1819,"700":1828,"702":1840,"703":1841,"704":1844,"705":1847,"707":1865,"709":1875,"710":1876,"711":1882,"712":1885,"713":1891,"714":1894,"715":1905,"716":1911,"717":1912,"718":1918,"719":1925,"720":1930,"722":1949,"723":1952,"724":1956,"725":1970,"726":1977,"727":2000,"728":2002,"730":2021,"731":2023,"732":2025,"733":2028,"734":2042},{"0":1,"2":19,"4":32,"5":34,"7":53,"8":72,"9":82,"10":83,"13":108,"14":111,"15":119,"16":123,"17":129,"18":151,"19":152,"20":167,"21":173,"22":175,"23":176,"24":179,"25":182,"27":197,"29":223,"30":224,"32":228,"34":235,"38":265,"39":275,"40":278,"41":282,"42":284,"43":285,"44":289,"45":296,"46":306,"47":308,"48":309,"49":310,"50":311,"51":315,"52":317,"53":326,"54":327,"55":332,"56":349,"59":356,"60":357,"61":358,"63":361,"64":363,"67":369,"70":375,"71":376,"72":377,"73":378,"74":379,"75":380,"76":383,"81":389,"83":391,"85":395,"87":398,"90":401,"91":402,"95":406,"96":407,"97":408,"98":411,"100":413,"103":418,"106":423,"108":426,"109":427,"110":429,"112":431,"113":432,"115":437,"116":438,"118":440,"119":441,"121":444,"125":450,"126":452,"127":453,"128":454,"129":459,"130":460,"131":461,"132":462,"139":471,"140":472,"142":474,"143":475,"144":476,"145":477,"147":479,"148":480,"149":481,"151":487,"152":488,"153":490,"154":491,"155":493,"156":494,"157":495,"158":496,"159":497,"162":500,"163":501,"164":502,"165":503,"166":504,"168":506,"169":507,"170":508,"171":509,"174":519,"175":528,"177":530,"178":531,"179":536,"180":541,"181":552,"182":554,"183":563,"184":565,"185":579,"186":583,"188":602,"190":610,"191":617,"192":631,"193":637,"194":641,"195":661,"196":686,"199":736,"200":738,"201":739,"203":748,"204":758,"205":762,"206":769,"207":772,"210":784,"211":786,"212":798,"213":801,"214":804,"215":808,"216":819,"217":820,"218":824,"219":834,"221":841,"222":842,"223":852,"224":854,"225":859,"226":865,"227":866,"228":868,"230":871,"231":874,"232":879,"234":882,"235":883,"236":884,"238":888,"239":889,"240":890,"241":891,"242":895,"247":901,"249":905,"250":906,"251":908,"252":909,"253":910,"254":912,"259":918,"260":919,"261":920,"263":922,"264":923,"266":927,"267":928,"268":929,"270":931,"271":933,"272":934,"274":936,"275":937,"276":938,"277":939,"278":940,"279":942,"281":944,"286":952,"288":955,"289":956,"290":957,"293":960,"294":961,"295":962,"296":964,"297":965,"299":969,"300":970,"301":972,"303":974,"307":980,"308":981,"310":984,"311":985,"312":986,"314":993,"315":994,"316":995,"317":997,"318":998,"319":999,"320":1001,"321":1003,"324":1009,"325":1010,"326":1011,"327":1012,"328":1014,"329":1015,"330":1016,"331":1018,"334":1021,"335":1022,"336":1023,"337":1030,"338":1038,"340":1046,"341":1047,"343":1059,"344":1066,"345":1072,"346":1077,"347":1078,"348":1082,"349":1101,"351":1112,"352":1114,"353":1116,"354":1119,"357":1140,"358":1165,"359":1167,"360":1169,"361":1171,"362":1172,"363":1182,"364":1183,"368":1219,"369":1235,"370":1237,"372":1239,"373":1245,"375":1250,"376":1254,"377":1266,"378":1270,"379":1273,"380":1276,"381":1277,"383":1284,"384":1285,"385":1301,"386":1304,"387":1316,"388":1324,"389":1325,"390":1328,"391":1329,"392":1338,"393":1339,"394":1340,"395":1350,"396":1351,"397":1355,"398":1372,"399":1382,"402":1398,"404":1408,"405":1416,"406":1424,"407":1435,"408":1448,"409":1454,"410":1460,"413":1471,"414":1474,"415":1492,"417":1502,"418":1508,"419":1514,"422":1530,"424":1538,"425":1545,"426":1548,"428":1561,"429":1566,"430":1567,"431":1569,"432":1571,"433":1573,"434":1584,"435":1587,"436":1595,"437":1607,"438":1612,"439":1616,"440":1622,"441":1627,"442":1637,"443":1646,"444":1649,"445":1661,"446":1670,"447":1682,"448":1686,"449":1687,"450":1689,"452":1694,"453":1701,"454":1704,"455":1707,"456":1708,"457":1718,"458":1733,"459":1742,"460":1756,"461":1757,"462":1761,"464":1769,"465":1770,"466":1788,"467":1791,"468":1795,"469":1796,"470":1801,"471":1807,"473":1817,"474":1830,"475":1833,"477":1836,"480":1858,"481":1873,"482":1874,"483":1880,"484":1883,"485":1886,"487":1898,"488":1902,"489":1903,"490":1910,"491":1924,"492":1932,"493":1934,"494":1935,"495":1937,"496":1953,"498":1955,"500":1960,"502":1967,"503":1971,"504":1974,"505":1976,"506":1984,"507":1991,"508":1993,"509":1997,"510":2005,"512":2013,"513":2014,"514":2015,"515":2024,"516":2027,"517":2030,"518":2043,"519":2046},{"2":277,"3":283,"4":343,"5":353,"6":354,"7":359,"8":362,"9":364,"10":366,"11":367,"12":373,"13":374,"14":381,"15":382,"16":386,"17":392,"18":393,"19":397,"20":410,"21":415,"23":425,"24":428,"25":433,"26":434,"28":442,"29":446,"30":449,"32":455,"33":456,"34":457,"35":458,"37":469,"38":482,"39":484,"40":489,"41":492,"42":514,"43":540,"44":549,"45":640,"46":708,"47":761,"48":763,"50":869,"51":872,"52":873,"53":875,"54":876,"55":877,"56":878,"57":886,"58":887,"59":892,"61":894,"62":900,"63":903,"64":904,"65":907,"66":911,"67":915,"70":932,"71":941,"72":945,"73":946,"75":963,"76":966,"77":968,"78":971,"79":975,"80":977,"81":983,"82":987,"83":988,"84":989,"85":991,"86":992,"87":1000,"88":1002,"89":1005,"91":1008,"92":1013,"93":1017,"95":1048,"96":1052,"97":1067,"100":1090,"101":1111,"102":1115,"104":1132,"105":1133,"106":1176,"107":1202,"108":1210,"110":1256,"113":1306,"117":1336,"118":1344,"121":1360,"123":1374,"124":1378,"125":1389,"126":1390,"128":1401,"130":1419,"131":1423,"132":1425,"133":1447,"134":1455,"135":1463,"136":1479,"137":1487,"138":1497,"141":1552,"142":1553,"143":1557,"146":1617,"147":1623,"148":1624,"149":1626,"150":1698,"151":1702,"153":1706,"156":1729,"158":1747,"161":1779,"162":1787,"164":1825,"165":1842,"166":1843,"167":1852,"168":1856,"170":1867,"171":1877,"173":1895,"174":1906,"175":1928,"176":1939,"178":1957,"179":1961,"181":1973,"182":2001,"183":2016,"184":2020,"185":2022,"186":2026,"187":2034,"189":2047},{"0":304,"1":370,"2":409,"4":421,"5":483,"7":867,"8":881,"10":996,"14":1127,"17":1201,"18":1212,"20":1220,"21":1225,"23":1309,"24":1320,"25":1326,"28":1414,"29":1420,"31":1442,"32":1456,"33":1461,"34":1469,"37":1520,"38":1525,"40":1572,"41":1585,"42":1629,"43":1643,"44":1644,"46":1688,"47":1690,"48":1700,"49":1721,"50":1739,"51":1740,"52":1755,"58":1803,"59":1812,"60":1859,"61":1863,"62":1872,"64":1915,"66":1965,"67":1987,"69":2029},{"0":1054,"1":1073,"2":1084,"3":1100,"5":1151,"6":1186,"17":1528,"21":1641,"22":1664,"23":1666,"24":1709,"25":1710,"26":1738,"28":1794,"30":1814,"31":1820,"32":1821,"33":1827,"34":1888,"37":1936,"38":1938,"39":1942,"40":1950,"41":1985},{"0":1044,"7":1137,"8":1146,"11":1226,"14":1244,"18":1377,"19":1415,"21":1476,"25":1532,"26":1540,"29":1614,"30":1631,"31":1632,"32":1638,"34":1716,"35":1749,"36":1764,"38":1789,"39":1861,"40":1929,"41":1940,"42":1948,"43":1951,"44":2008,"47":2037,"48":2044},{"0":1050,"1":1118,"2":1179,"3":1198,"4":1259,"5":1310,"7":1327,"8":1369,"9":1381,"10":1394,"11":1403,"13":1481,"14":1547,"16":1598,"17":1621,"18":1651,"19":1715,"22":1782,"23":1792,"28":1892,"31":1913,"33":1941,"35":1994},{"1":1076,"2":1109,"4":1123,"7":1205,"9":1275,"10":1287,"11":1317,"12":1335,"13":1356,"17":1406,"20":1483,"22":1628,"23":1639,"24":1659,"25":1681,"28":1743,"30":1781,"34":1838,"39":2032},{"1":1095,"4":1173,"5":1195,"7":1216,"12":1380,"13":1489,"15":1496,"19":1602,"24":1869,"26":1897,"28":1964},{"0":1034,"2":1117,"6":1174,"7":1236,"9":1302,"13":1370,"14":1383,"22":1653,"26":1713,"28":1760},{"0":1088,"5":1242,"8":1290,"11":1359,"12":1397,"13":1512,"16":1665,"17":1696,"18":1719,"24":1811,"31":2004},{"7":1352,"13":1533,"22":1684},{"0":1032,"9":1434,"17":1774},{"8":1450},[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]]