[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":6,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"17":19,"18":20,"19":21,"20":23,"21":24,"24":30,"25":33,"26":34,"27":36,"28":37,"29":38,"30":39,"31":40,"32":41,"33":42,"34":43,"35":44,"36":45,"39":48,"40":49,"41":50,"42":51,"43":53,"44":55,"45":56,"48":60,"49":61,"50":62,"51":66,"54":70,"55":71,"56":72,"57":76,"58":77,"59":78,"60":79,"61":80,"62":81,"63":82,"64":83,"65":85,"66":86,"67":87,"68":89,"69":90,"70":91,"71":92,"72":93,"73":94,"75":98,"76":99,"77":100,"79":104,"81":107,"82":108,"83":110,"84":112,"85":113,"86":114,"88":118,"89":119,"90":121,"91":123,"92":124,"93":125,"95":127,"96":128,"97":130,"98":132,"99":133,"100":134,"101":135,"102":136,"103":137,"104":138,"105":139,"106":140,"107":141,"108":142,"109":143,"110":144,"112":146,"113":147,"114":148,"115":150,"116":152,"117":153,"118":154,"121":158,"123":164,"124":165,"125":166,"126":167,"127":169,"128":170,"129":171,"130":172,"131":173,"132":174,"133":175,"134":176,"135":177,"136":178,"137":179,"138":181,"139":182,"140":183,"142":185,"143":186,"144":187,"145":191,"146":192,"148":194,"149":195,"150":196,"151":197,"152":200,"153":201,"154":202,"155":203,"156":204,"157":205,"158":207,"159":208,"160":210,"161":211,"162":213,"163":214,"164":216,"165":217,"166":219,"168":222,"169":223,"170":225,"171":227,"172":228,"173":230,"174":231,"175":232,"176":233,"177":234,"178":235,"179":236,"180":237,"181":238,"182":239,"183":240,"184":242,"185":244,"186":245,"187":246,"188":247,"189":249,"190":252,"191":253,"193":258,"194":259,"195":260,"196":263,"197":512,"198":513,"199":514,"200":515,"201":516,"202":517,"204":521,"205":522,"206":523,"207":524,"209":526,"210":527,"211":528,"215":532,"216":533,"217":534,"218":535,"219":536,"222":540,"223":542,"224":543,"226":545,"227":546,"228":548,"229":549,"231":551,"232":552,"233":553,"234":554,"235":555,"236":556,"239":563,"240":564,"241":565,"242":566,"243":567,"244":568,"248":573,"249":576,"250":578,"254":583,"255":584,"256":585,"257":587,"258":589,"259":590,"260":591,"261":593,"262":594,"263":595,"264":597,"265":598,"266":599,"267":600,"268":601,"270":604,"271":605,"272":606,"273":607,"274":608,"275":609,"276":610,"277":611,"278":612,"279":613,"280":614,"281":617,"282":618,"283":619,"284":620,"285":621,"287":624,"288":625,"289":626,"294":631,"295":632,"296":633,"297":635,"300":640,"301":641,"302":644,"303":646,"304":648,"305":649,"306":650,"307":651,"308":652,"309":653,"310":655,"313":661,"315":664,"316":665,"317":666,"318":667,"321":670,"322":671,"323":673,"326":677,"327":678,"328":679,"329":683,"330":685,"331":686,"332":690,"333":692,"334":693,"335":694,"336":695,"337":696,"338":697,"339":700,"340":701,"341":702,"342":703,"343":704,"344":705,"346":708,"347":710,"348":712,"349":714,"351":716,"352":717,"353":718,"354":719,"355":720,"356":723,"357":726,"358":728,"359":729,"360":730,"361":731,"362":734,"363":735,"364":736,"365":738,"366":739,"367":740,"368":742,"369":743,"370":744,"371":745,"372":746,"373":749,"374":751,"375":752,"376":753,"377":755,"378":756,"379":757,"380":758,"381":759,"382":760,"383":761,"384":763,"385":767,"386":768,"387":769,"389":772,"390":774,"391":775,"392":776,"393":777,"394":1024,"395":1025,"397":1049,"398":1055,"399":1059,"400":1060,"401":1062,"402":1079,"403":1094,"404":1103,"405":1116,"406":1119,"407":1124,"408":1128,"409":1129,"410":1131,"411":1133,"412":1134,"413":1139,"414":1143,"415":1151,"416":1154,"418":1201,"419":1202,"420":1210,"421":1214,"422":1230,"423":1235,"424":1236,"426":1244,"427":1245,"428":1254,"429":1257,"430":1260,"431":1262,"432":1264,"433":1265,"434":1271,"436":1289,"437":1290,"438":1291,"439":1304,"440":1332,"441":1338,"442":1341,"443":1351,"444":1358,"445":1369,"446":1375,"447":1378,"448":1381,"449":1382,"450":1394,"452":1420,"453":1434,"454":1441,"455":1444,"456":1457,"457":1458,"458":1459,"459":1476,"460":1477,"461":1482,"462":1487,"463":1495,"464":1500,"465":1506,"466":1512,"467":1523,"468":1538,"469":1549,"470":1557,"471":1558,"472":1569,"473":1570,"474":1588,"475":1598,"476":1602,"477":1605,"478":1618,"479":1619,"480":1623,"481":1626,"482":1628,"483":1649,"484":1659,"485":1660,"486":1671,"487":1684,"488":1695,"489":1699,"491":1718,"492":1728,"493":1754,"494":1761,"495":1762,"496":1784,"497":1795,"498":1797,"499":1798,"500":1819,"501":1821,"502":1825,"503":1827,"504":1848,"505":1857,"506":1858,"507":1861,"509":1883,"511":1890,"512":1909,"513":1916,"514":1917,"515":1919,"516":1920,"517":1934,"518":1936,"519":1949,"520":1953,"521":1955,"522":1966,"523":1967,"524":1969,"525":1977,"526":1980,"527":1981,"528":1982,"529":1991,"530":1995,"531":2002,"532":2005,"534":2025,"535":2037,"536":2043},{"0":5,"2":22,"3":25,"4":28,"5":29,"6":31,"7":32,"8":54,"10":63,"11":65,"12":67,"13":74,"14":75,"15":84,"16":88,"17":95,"18":101,"19":109,"20":111,"23":120,"24":122,"25":129,"26":131,"27":149,"28":151,"30":159,"31":160,"32":161,"34":168,"35":188,"36":198,"37":206,"38":209,"39":212,"40":215,"41":224,"42":226,"43":229,"44":241,"45":243,"46":248,"47":250,"48":254,"49":256,"50":257,"51":261,"52":264,"53":265,"54":267,"55":269,"56":270,"57":274,"58":276,"59":278,"60":279,"61":281,"62":282,"64":286,"65":289,"66":295,"67":300,"68":302,"69":303,"70":304,"71":305,"72":306,"73":308,"74":310,"75":311,"77":313,"78":317,"79":322,"82":325,"83":327,"84":328,"85":329,"86":332,"87":333,"88":334,"89":335,"90":336,"91":338,"92":339,"93":340,"94":343,"95":344,"96":345,"97":348,"98":350,"99":355,"100":356,"101":359,"102":360,"103":363,"104":364,"105":365,"106":366,"107":367,"108":369,"109":370,"110":371,"111":375,"112":377,"113":379,"114":380,"115":381,"116":384,"118":386,"119":388,"120":389,"121":390,"122":391,"123":392,"124":393,"125":394,"126":395,"127":396,"128":397,"130":401,"131":403,"132":404,"133":408,"135":410,"136":411,"137":413,"138":414,"139":415,"141":423,"142":424,"143":425,"144":430,"145":432,"146":433,"147":435,"148":436,"149":441,"150":442,"151":444,"152":445,"153":448,"154":449,"155":451,"156":452,"157":453,"158":454,"159":455,"160":456,"161":457,"162":459,"163":460,"164":462,"165":463,"166":465,"167":466,"169":472,"170":474,"171":518,"172":519,"173":537,"174":541,"175":547,"176":557,"177":558,"178":561,"179":562,"181":574,"182":577,"183":579,"184":586,"185":588,"186":592,"187":596,"188":602,"190":622,"191":634,"192":636,"193":637,"194":642,"195":643,"196":645,"197":654,"198":656,"199":659,"200":660,"201":662,"202":674,"203":680,"204":682,"205":684,"206":687,"207":688,"208":689,"209":691,"210":698,"211":699,"212":707,"213":709,"214":711,"215":713,"216":721,"217":722,"218":724,"219":725,"220":727,"221":732,"222":737,"223":741,"224":747,"225":748,"226":750,"227":754,"228":762,"229":765,"230":766,"231":771,"232":773,"233":782,"234":783,"235":785,"236":786,"237":787,"238":789,"239":790,"240":792,"241":795,"242":796,"243":797,"244":798,"245":800,"246":801,"247":803,"248":807,"249":808,"250":811,"251":812,"252":813,"253":814,"254":815,"255":816,"257":820,"259":827,"260":829,"262":831,"263":832,"264":835,"266":839,"267":840,"268":841,"269":842,"270":843,"271":845,"272":849,"273":854,"274":855,"275":856,"276":857,"277":860,"278":862,"279":864,"280":865,"281":866,"282":867,"283":869,"284":870,"285":871,"286":873,"287":877,"288":880,"289":882,"290":884,"291":885,"292":886,"293":889,"294":890,"295":891,"296":892,"297":893,"298":894,"304":904,"305":905,"306":906,"307":907,"310":913,"311":917,"312":919,"313":920,"314":921,"315":922,"317":925,"318":926,"319":928,"320":932,"321":933,"322":935,"323":936,"324":937,"325":939,"326":940,"327":942,"328":943,"330":947,"331":948,"333":950,"334":956,"335":958,"336":959,"337":960,"338":962,"339":964,"340":965,"341":967,"342":968,"343":969,"344":972,"345":974,"346":975,"347":978,"348":979,"349":981,"350":982,"351":986,"352":987,"353":1042,"354":1043,"356":1057,"357":1068,"358":1069,"359":1075,"360":1080,"361":1099,"362":1101,"363":1102,"364":1107,"365":1108,"366":1113,"367":1121,"368":1123,"369":1141,"370":1156,"372":1182,"373":1189,"374":1206,"376":1221,"377":1224,"378":1231,"379":1237,"380":1253,"381":1255,"382":1259,"383":1267,"385":1272,"386":1274,"387":1283,"388":1287,"389":1288,"390":1292,"391":1295,"392":1320,"393":1323,"394":1334,"396":1348,"397":1385,"398":1387,"399":1388,"400":1391,"401":1400,"403":1426,"404":1428,"405":1430,"406":1438,"407":1440,"408":1451,"409":1461,"410":1463,"411":1470,"412":1474,"413":1478,"414":1492,"415":1497,"418":1524,"419":1525,"420":1526,"421":1528,"422":1529,"423":1533,"424":1543,"425":1547,"427":1574,"428":1585,"429":1595,"430":1606,"431":1607,"432":1610,"433":1632,"434":1643,"435":1645,"436":1647,"437":1661,"438":1665,"439":1677,"440":1681,"441":1688,"442":1689,"443":1706,"444":1707,"445":1725,"446":1726,"447":1736,"448":1740,"449":1741,"450":1744,"451":1748,"452":1756,"453":1770,"454":1773,"455":1775,"456":1781,"458":1803,"459":1813,"460":1818,"461":1820,"462":1826,"463":1840,"464":1853,"465":1856,"466":1862,"467":1892,"468":1904,"469":1907,"470":1927,"471":1928,"472":1930,"473":1932,"474":1935,"475":1938,"476":1944,"477":1947,"478":1957,"479":1962,"481":1978,"482":1996,"483":1997,"484":2001,"485":2006,"486":2015,"487":2018,"488":2024,"489":2039},{"0":52,"1":73,"2":96,"3":102,"4":105,"5":189,"6":190,"8":218,"9":220,"11":262,"12":268,"13":273,"14":275,"15":280,"16":283,"17":287,"18":291,"19":292,"20":294,"21":296,"22":299,"23":301,"24":307,"25":309,"26":314,"27":315,"28":316,"29":318,"30":319,"31":320,"32":321,"33":326,"34":330,"35":341,"36":342,"37":346,"38":347,"39":349,"40":351,"41":352,"42":353,"43":357,"44":368,"45":372,"46":373,"47":374,"48":376,"49":378,"50":387,"51":402,"52":406,"53":407,"54":412,"55":418,"56":419,"57":420,"58":421,"59":426,"60":427,"61":428,"62":434,"63":438,"64":440,"65":443,"66":446,"67":450,"68":458,"69":461,"70":464,"71":468,"72":469,"73":470,"74":471,"75":476,"76":477,"77":479,"78":480,"79":482,"80":483,"81":485,"82":486,"83":487,"84":489,"85":491,"86":494,"87":502,"88":506,"89":575,"91":647,"92":672,"93":681,"94":733,"95":764,"96":778,"97":788,"98":791,"99":799,"100":805,"101":806,"102":809,"103":817,"104":819,"105":821,"106":822,"107":823,"108":826,"109":828,"110":833,"111":834,"112":844,"113":846,"114":847,"115":850,"116":851,"117":852,"118":858,"119":859,"120":868,"121":876,"122":878,"123":879,"124":883,"125":887,"126":895,"127":896,"128":900,"129":908,"130":911,"131":912,"132":914,"133":915,"134":916,"135":918,"136":924,"137":929,"138":930,"139":931,"140":938,"141":941,"142":952,"143":953,"144":954,"146":957,"147":961,"148":966,"149":973,"151":983,"152":984,"153":985,"154":990,"155":991,"156":992,"157":993,"158":995,"159":996,"160":997,"161":998,"162":1001,"163":1002,"164":1003,"165":1007,"166":1009,"167":1017,"168":1022,"169":1037,"170":1058,"171":1065,"172":1072,"173":1074,"174":1084,"175":1130,"176":1148,"177":1159,"178":1177,"179":1180,"180":1197,"181":1232,"182":1238,"183":1243,"184":1250,"185":1261,"186":1263,"187":1266,"188":1273,"189":1278,"190":1281,"191":1285,"192":1297,"193":1301,"194":1308,"195":1309,"196":1310,"197":1317,"198":1322,"199":1330,"200":1333,"201":1336,"202":1337,"203":1372,"204":1376,"205":1383,"206":1407,"207":1411,"208":1435,"209":1436,"210":1449,"211":1460,"212":1511,"214":1515,"215":1535,"216":1551,"217":1561,"218":1565,"219":1582,"220":1596,"221":1597,"222":1620,"223":1624,"224":1625,"225":1630,"226":1640,"227":1656,"228":1674,"229":1675,"230":1682,"231":1693,"232":1696,"233":1727,"234":1731,"235":1753,"236":1757,"237":1772,"238":1778,"239":1786,"240":1801,"241":1807,"242":1808,"243":1812,"244":1814,"245":1816,"246":1829,"247":1851,"248":1863,"249":1865,"250":1877,"251":1880,"252":1889,"253":1891,"254":1893,"255":1895,"256":1896,"257":1897,"258":1901,"259":1908,"260":1914,"261":1915,"262":1925,"263":1950,"264":1951,"265":1952,"266":1960,"267":1972,"268":1990,"269":1993,"270":1998,"271":2003,"272":2004,"273":2011,"274":2023,"275":2026,"276":2027,"277":2029,"279":2044},{"1":64,"2":180,"3":266,"4":271,"5":272,"6":277,"7":285,"8":288,"9":290,"10":293,"11":297,"12":298,"13":331,"14":337,"16":358,"17":361,"18":362,"19":383,"21":400,"22":405,"23":416,"24":417,"25":429,"26":431,"27":437,"28":439,"29":447,"30":473,"31":475,"32":481,"33":484,"34":488,"35":492,"36":493,"37":495,"38":496,"39":497,"40":498,"41":503,"42":504,"43":507,"44":509,"45":510,"46":511,"47":779,"48":780,"50":784,"51":793,"52":794,"53":802,"54":804,"55":810,"56":825,"57":838,"58":848,"59":853,"60":861,"61":863,"63":874,"65":881,"66":888,"67":934,"68":945,"70":951,"71":963,"72":970,"73":971,"74":976,"75":980,"76":988,"77":1000,"78":1004,"79":1005,"80":1006,"81":1008,"82":1011,"83":1013,"84":1016,"85":1018,"86":1020,"87":1021,"88":1023,"89":1032,"90":1050,"91":1051,"92":1053,"93":1061,"94":1063,"95":1064,"96":1071,"97":1097,"98":1100,"99":1109,"100":1126,"101":1132,"102":1135,"103":1146,"104":1157,"105":1203,"106":1204,"107":1223,"108":1234,"109":1270,"110":1276,"111":1280,"112":1282,"113":1286,"114":1329,"115":1339,"116":1366,"117":1370,"118":1380,"119":1399,"120":1401,"121":1409,"122":1412,"123":1415,"124":1416,"125":1431,"126":1445,"127":1471,"128":1480,"129":1489,"130":1490,"131":1522,"132":1542,"133":1545,"134":1559,"135":1568,"136":1591,"137":1600,"138":1613,"139":1633,"140":1638,"141":1658,"142":1680,"143":1705,"144":1720,"145":1723,"146":1734,"148":1752,"149":1755,"150":1768,"151":1785,"152":1790,"153":1792,"154":1833,"155":1847,"156":1864,"157":1867,"158":1900,"159":1906,"160":1923,"161":1933,"162":1940,"163":1948,"164":1963,"165":1973,"166":1985,"167":2042},{"0":382,"1":478,"2":490,"3":499,"4":505,"5":508,"7":903,"8":927,"9":989,"10":994,"11":999,"12":1010,"13":1015,"14":1019,"15":1048,"16":1052,"17":1082,"18":1098,"19":1105,"20":1112,"21":1118,"22":1152,"23":1187,"24":1192,"25":1196,"26":1216,"27":1247,"28":1256,"29":1307,"30":1312,"31":1324,"32":1327,"33":1346,"34":1349,"35":1353,"36":1354,"37":1384,"38":1389,"39":1396,"40":1403,"41":1425,"42":1439,"43":1447,"44":1469,"45":1473,"46":1494,"47":1510,"48":1516,"49":1531,"50":1534,"51":1537,"52":1554,"53":1555,"54":1564,"55":1571,"56":1576,"57":1583,"58":1593,"59":1604,"60":1612,"61":1634,"62":1642,"63":1651,"64":1662,"65":1679,"66":1687,"67":1698,"68":1732,"69":1743,"70":1750,"71":1779,"72":1787,"73":1793,"74":1828,"75":1830,"76":1849,"77":1870,"78":1879,"79":1910,"80":1922,"81":1924,"82":1989,"83":2013,"84":2022,"85":2028,"86":2030,"87":2046},{"4":1028,"5":1031,"6":1035,"7":1081,"8":1093,"9":1111,"10":1115,"11":1150,"12":1153,"13":1161,"14":1163,"15":1169,"16":1171,"17":1175,"18":1178,"19":1194,"20":1218,"21":1227,"22":1233,"23":1252,"24":1326,"25":1345,"26":1355,"27":1359,"28":1365,"29":1374,"30":1386,"31":1397,"32":1405,"33":1410,"34":1419,"35":1491,"36":1509,"37":1540,"38":1541,"39":1577,"40":1589,"41":1608,"42":1648,"43":1653,"44":1676,"45":1686,"46":1691,"47":1700,"48":1708,"49":1719,"50":1733,"51":1737,"52":1738,"53":1759,"54":1765,"55":1794,"56":1800,"57":1815,"58":1822,"59":1838,"60":1846,"61":1869,"62":1876,"63":1898,"64":1931,"65":1956,"66":1964,"67":1968,"68":1974,"69":2008,"70":2009,"71":2010,"72":2041,"73":2047},[1038,1039,1046,1085,1091,1104,1110,1127,1147,1158,1160,1165,1172,1183,1188,1193,1209,1225,1226,1246,1258,1284,1315,1367,1395,1406,1432,1437,1442,1446,1455,1456,1467,1479,1485,1496,1501,1521,1530,1532,1578,1580,1584,1609,1616,1622,1666,1692,1697,1735,1746,1791,1805,1817,1835,1854,1939,2016,2019,2033],[1066,1073,1077,1078,1089,1095,1106,1120,1145,1162,1176,1213,1219,1222,1242,1277,1298,1318,1340,1392,1402,1448,1454,1486,1505,1527,1536,1539,1544,1546,1562,1567,1581,1603,1627,1631,1646,1668,1690,1713,1758,1774,1776,1789,1831,1832,1834,1850,1855,1874,1884,1899,1902,1905,1971,1979,1984,2012,2040,2045],[1026,1045,1122,1136,1149,1166,1173,1185,1195,1303,1306,1328,1335,1418,1424,1443,1465,1466,1472,1483,1484,1513,1556,1615,1663,1667,1673,1701,1703,1716,1721,1769,1782,1802,1809,1824,1836,1844,1860,1886,1943,1958,2000,2020,2031,2036],[1029,1033,1070,1114,1144,1170,1181,1248,1249,1251,1299,1314,1321,1325,1352,1362,1371,1429,1498,1594,1601,1611,1635,1644,1650,1652,1657,1685,1714,1777,1780,1866,1882,1921,1929,1946,2032,2038],[1030,1040,1047,1092,1184,1191,1293,1316,1331,1373,1379,1423,1599,1617,1639,1672,1702,1739,1788,1804,1837,1839,1852,1872,1894,1911,1965,1992,2017],[1076,1087,1096,1199,1200,1296,1300,1305,1311,1357,1377,1417,1464,1499,1552,1614,1637,1747,1760,1823,1842,1859,1873,1878,1888,1976,1983,1987],[1036,1054,1117,1138,1140,1164,1168,1215,1313,1347,1356,1413,1414,1488,1502,1517,1572,1655,1664,1670,1683,1730,1751,1763,1810,1881,1887,1912,1926,1942,1945,1988,2014],[1041,1067,1083,1125,1205,1212,1229,1319,1350,1361,1368,1390,1404,1422,1550,1553,1560,1592,1636,1704,1709,1715,1742,1745,1806,1841,1845,1959,1961,1975,2021],[1086,1088,1137,1217,1279,1294,1364,1421,1433,1468,1503,1519,1548,1566,1579,1587,1590,1641,1669,1694,1767,1771,1811,1954,1986],[1027,1155,1207,1228,1239,1240,1343,1344,1360,1493,1573,1586,1722,1729,1764,1843,1918,1937,1994,1999],[1044,1142,1186,1190,1208,1363,1481,1520,1629,1654,1712,1903,1913],[1179,1220,1302,1393,1507,1621,1868],[1268,1450,1462,1475,1508,1710,1717,1724,1799,1875,1941],[1090,1198,1575,1678,1766],[1427,1452,2034],[1453],[1783]]