[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":22,"20":23,"21":25,"22":27,"23":28,"24":31,"25":32,"26":33,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":45,"36":46,"37":47,"38":48,"39":49,"40":50,"41":51,"42":52,"43":53,"44":54,"45":55,"46":56,"47":57,"48":58,"52":64,"53":65,"54":67,"55":68,"56":69,"57":72,"58":75,"59":76,"60":77,"61":80,"62":81,"63":82,"64":83,"65":85,"66":87,"67":90,"68":92,"69":93,"70":94,"71":97,"72":98,"73":99,"74":100,"75":102,"76":105,"77":106,"78":108,"79":109,"80":110,"81":111,"82":112,"83":113,"84":116,"85":117,"87":120,"88":122,"89":123,"90":124,"91":125,"92":126,"93":127,"94":129,"95":130,"96":132,"97":133,"98":136,"99":138,"100":139,"101":140,"102":141,"103":142,"104":143,"105":144,"106":145,"107":146,"108":147,"109":148,"110":149,"111":150,"112":152,"113":153,"114":155,"115":156,"116":157,"118":159,"119":160,"120":162,"121":163,"122":164,"123":166,"124":170,"125":171,"126":175,"127":177,"128":179,"129":182,"130":183,"131":185,"132":187,"133":188,"134":190,"135":191,"136":192,"137":193,"138":194,"139":195,"140":196,"141":197,"142":198,"143":199,"144":201,"145":202,"146":203,"147":204,"148":205,"149":206,"150":207,"151":208,"152":209,"153":210,"154":212,"155":213,"156":214,"157":216,"158":217,"159":218,"160":219,"161":220,"162":221,"163":222,"164":223,"165":226,"166":228,"167":229,"168":230,"169":231,"170":233,"171":235,"172":239,"173":242,"174":244,"175":245,"176":246,"177":247,"178":248,"179":250,"180":251,"181":252,"182":253,"183":254,"184":255,"185":257,"186":259,"187":512,"188":513,"189":514,"190":515,"191":516,"192":517,"193":518,"194":520,"195":521,"196":523,"197":524,"198":525,"199":526,"200":527,"201":528,"202":529,"203":530,"204":531,"206":535,"207":536,"208":537,"209":538,"210":540,"211":546,"212":547,"213":550,"214":551,"215":552,"216":553,"217":554,"218":555,"219":556,"220":558,"221":559,"222":560,"223":561,"224":562,"225":564,"226":565,"227":566,"228":567,"229":568,"230":569,"231":570,"232":571,"233":572,"236":575,"237":576,"238":577,"239":578,"240":579,"241":580,"242":581,"243":585,"244":586,"245":588,"246":589,"247":591,"248":593,"249":594,"250":596,"251":597,"252":598,"253":599,"254":600,"255":601,"256":604,"257":605,"258":607,"259":608,"260":610,"261":611,"262":612,"263":613,"264":614,"265":615,"266":617,"267":619,"268":620,"269":622,"270":623,"271":624,"272":625,"273":626,"275":629,"276":632,"277":633,"278":634,"279":635,"280":636,"281":637,"282":638,"283":639,"284":640,"285":642,"286":643,"287":646,"288":647,"289":648,"290":649,"291":651,"292":652,"293":653,"294":654,"295":655,"296":656,"297":657,"298":659,"299":660,"300":661,"301":662,"302":663,"303":664,"304":666,"305":667,"306":668,"307":669,"309":671,"310":672,"311":675,"312":676,"313":679,"314":680,"315":683,"316":685,"317":686,"318":688,"319":690,"320":692,"321":696,"322":697,"323":698,"324":699,"325":702,"326":703,"327":704,"328":705,"329":707,"330":709,"331":710,"332":711,"333":714,"334":715,"335":716,"336":719,"337":720,"338":721,"339":722,"340":723,"341":727,"342":730,"343":732,"344":733,"345":735,"346":737,"347":739,"348":741,"349":742,"350":743,"351":745,"352":746,"353":747,"354":748,"355":749,"356":750,"357":751,"358":752,"359":754,"360":756,"361":757,"362":759,"364":763,"365":766,"366":767,"367":768,"368":770,"369":771,"370":1024,"372":1033,"373":1058,"374":1059,"375":1063,"376":1065,"377":1080,"378":1092,"379":1093,"380":1110,"381":1114,"382":1116,"383":1122,"384":1123,"385":1133,"386":1150,"387":1163,"388":1189,"389":1194,"390":1195,"391":1208,"392":1213,"393":1233,"394":1247,"395":1253,"396":1254,"397":1261,"398":1263,"400":1267,"401":1275,"402":1276,"403":1284,"404":1289,"405":1291,"406":1295,"407":1297,"408":1300,"409":1304,"410":1307,"411":1313,"412":1314,"413":1315,"414":1320,"415":1327,"416":1333,"417":1347,"418":1348,"419":1360,"420":1364,"421":1379,"422":1382,"423":1384,"424":1389,"425":1392,"426":1397,"427":1399,"428":1406,"429":1411,"430":1413,"431":1419,"432":1434,"433":1446,"434":1450,"435":1469,"436":1471,"437":1472,"438":1480,"439":1481,"440":1487,"441":1490,"442":1494,"443":1498,"444":1507,"445":1508,"446":1529,"447":1531,"448":1532,"449":1542,"450":1543,"451":1573,"452":1587,"453":1595,"454":1607,"455":1614,"456":1615,"457":1619,"458":1623,"459":1626,"460":1631,"461":1633,"462":1645,"463":1660,"464":1679,"465":1680,"466":1687,"467":1699,"468":1703,"469":1717,"470":1719,"471":1749,"472":1754,"473":1778,"474":1780,"475":1797,"476":1801,"477":1813,"478":1822,"479":1823,"480":1836,"481":1846,"482":1855,"484":1865,"485":1871,"486":1873,"487":1883,"488":1908,"489":1911,"490":1922,"491":1941,"492":1945,"493":1952,"494":1955,"495":1956,"496":1973,"497":1978,"498":1983,"499":1986,"500":1996,"501":2003,"502":2012,"503":2019,"504":2030,"505":2031},{"0":6,"1":20,"2":21,"3":24,"4":26,"5":30,"6":34,"7":43,"8":44,"9":59,"10":63,"11":66,"12":70,"13":73,"14":74,"15":78,"16":79,"17":84,"18":86,"19":89,"20":95,"21":96,"22":101,"23":103,"24":104,"25":107,"26":114,"27":115,"28":119,"29":121,"30":131,"31":134,"32":135,"33":137,"34":151,"35":154,"36":161,"37":165,"38":167,"39":168,"40":172,"41":173,"42":174,"43":176,"44":178,"45":180,"46":181,"47":184,"48":186,"49":200,"50":211,"51":215,"52":224,"53":227,"54":232,"55":234,"56":236,"57":237,"58":238,"59":240,"60":241,"61":243,"62":249,"63":256,"64":258,"65":260,"66":261,"67":265,"72":274,"73":275,"74":276,"75":277,"76":280,"79":284,"80":285,"81":286,"82":297,"83":298,"84":306,"85":309,"86":310,"87":312,"88":317,"89":318,"90":320,"91":321,"92":323,"93":327,"94":328,"95":329,"96":330,"98":333,"99":337,"100":339,"101":340,"102":341,"103":342,"104":343,"105":344,"106":346,"111":352,"112":353,"113":355,"114":356,"115":357,"116":358,"121":365,"122":366,"123":368,"124":370,"125":371,"126":372,"127":374,"128":375,"129":376,"130":378,"131":381,"132":383,"133":387,"134":392,"135":394,"136":396,"137":397,"138":398,"139":400,"140":403,"141":406,"142":407,"143":408,"144":409,"145":411,"146":416,"147":419,"148":420,"149":421,"150":423,"151":425,"152":429,"153":431,"154":432,"155":435,"156":436,"158":438,"159":439,"160":440,"161":441,"162":442,"163":443,"164":444,"165":446,"166":449,"167":451,"168":452,"169":455,"170":456,"171":457,"173":460,"174":461,"175":462,"176":464,"177":466,"178":467,"179":468,"180":469,"181":470,"182":479,"183":481,"184":482,"185":485,"186":487,"187":488,"188":491,"189":492,"190":519,"191":522,"192":532,"193":533,"194":539,"195":541,"196":542,"197":543,"198":544,"199":545,"200":557,"201":563,"202":582,"203":583,"204":584,"205":587,"206":590,"207":592,"208":595,"209":602,"210":603,"211":606,"212":609,"213":616,"214":618,"215":621,"216":628,"217":630,"218":631,"219":641,"220":645,"221":650,"222":658,"224":673,"225":674,"226":677,"227":678,"228":681,"229":682,"230":684,"231":687,"232":689,"233":694,"234":695,"235":700,"236":701,"237":706,"238":712,"239":713,"240":717,"241":718,"242":724,"243":726,"244":728,"245":729,"246":731,"247":734,"248":736,"249":738,"250":740,"251":744,"252":755,"253":758,"254":760,"255":761,"256":765,"257":769,"258":772,"259":773,"260":776,"261":777,"262":778,"263":779,"268":785,"269":786,"270":787,"271":788,"272":790,"273":792,"274":793,"275":794,"278":797,"279":798,"280":799,"281":801,"282":804,"283":806,"284":808,"285":811,"286":814,"287":815,"288":819,"289":822,"290":825,"291":826,"292":828,"293":830,"294":831,"295":832,"296":833,"297":836,"298":837,"299":838,"300":840,"303":849,"304":850,"305":852,"306":853,"307":856,"308":857,"309":858,"310":859,"315":868,"316":869,"317":871,"318":872,"322":877,"323":879,"324":880,"325":881,"326":883,"327":893,"328":895,"329":896,"330":898,"331":900,"332":904,"333":905,"334":909,"335":913,"336":914,"337":915,"338":921,"339":923,"341":929,"342":936,"344":943,"346":946,"347":947,"348":949,"349":955,"350":959,"351":960,"352":961,"353":971,"354":972,"355":973,"356":974,"357":975,"358":978,"359":979,"360":980,"361":985,"362":986,"363":987,"365":994,"366":999,"367":1002,"368":1004,"369":1025,"370":1034,"371":1053,"372":1066,"373":1082,"374":1084,"375":1100,"376":1102,"377":1108,"378":1135,"379":1136,"380":1152,"381":1170,"382":1184,"383":1185,"384":1206,"385":1207,"386":1216,"387":1218,"388":1224,"389":1234,"390":1246,"391":1259,"392":1286,"393":1296,"394":1301,"395":1305,"396":1317,"397":1323,"398":1338,"399":1342,"400":1349,"401":1366,"402":1368,"403":1375,"404":1390,"405":1459,"406":1463,"407":1476,"408":1479,"409":1486,"410":1488,"411":1509,"412":1515,"413":1523,"414":1533,"415":1539,"416":1545,"417":1551,"418":1552,"419":1554,"420":1571,"421":1590,"422":1591,"423":1592,"424":1601,"425":1605,"426":1625,"427":1627,"428":1635,"429":1640,"430":1647,"431":1656,"432":1658,"433":1664,"434":1666,"435":1670,"436":1692,"437":1714,"438":1718,"439":1720,"440":1728,"441":1729,"442":1732,"443":1741,"444":1755,"445":1766,"446":1782,"447":1792,"448":1794,"449":1825,"450":1844,"451":1845,"452":1878,"453":1880,"454":1881,"455":1885,"456":1901,"457":1907,"458":1948,"459":1960,"461":1980,"462":1984,"463":1992,"464":2006},{"0":29,"1":71,"2":88,"3":91,"4":128,"5":169,"6":189,"7":225,"8":262,"9":263,"10":264,"11":266,"12":272,"13":273,"14":278,"15":279,"16":288,"17":289,"18":290,"19":291,"20":292,"21":293,"22":294,"23":295,"24":296,"25":300,"26":301,"27":302,"28":303,"29":304,"30":305,"31":307,"32":308,"33":311,"34":313,"35":315,"36":316,"37":319,"38":324,"39":326,"40":331,"41":334,"42":335,"43":336,"44":338,"45":345,"46":351,"47":359,"48":364,"49":367,"50":369,"51":373,"52":377,"53":380,"54":382,"55":384,"56":385,"57":386,"58":388,"59":389,"60":390,"61":391,"62":393,"63":395,"64":399,"65":401,"66":402,"67":404,"68":405,"69":412,"70":413,"71":414,"72":415,"73":422,"74":424,"75":426,"76":428,"77":430,"79":447,"80":448,"81":450,"82":453,"83":454,"84":458,"86":465,"87":471,"88":472,"89":473,"90":474,"91":476,"92":478,"93":483,"94":484,"95":486,"96":489,"97":490,"98":493,"99":495,"100":496,"101":497,"102":498,"103":499,"104":500,"105":501,"106":502,"107":506,"108":507,"109":548,"110":549,"111":693,"112":725,"113":753,"114":764,"115":775,"116":789,"117":791,"118":800,"119":802,"120":803,"121":805,"122":807,"123":809,"124":810,"125":812,"126":816,"127":817,"128":818,"129":820,"130":821,"131":823,"132":827,"133":829,"134":834,"135":835,"136":839,"137":841,"138":843,"139":844,"140":845,"141":847,"142":848,"143":851,"144":854,"145":855,"146":864,"147":865,"148":866,"149":867,"150":870,"151":882,"152":885,"153":886,"154":887,"155":889,"156":890,"157":891,"158":892,"159":894,"160":897,"161":899,"162":901,"163":902,"164":903,"165":906,"166":907,"167":908,"168":910,"169":911,"170":912,"171":916,"172":917,"173":918,"174":919,"175":920,"176":922,"177":925,"178":926,"179":927,"181":931,"182":933,"183":934,"184":938,"185":939,"186":940,"187":941,"188":944,"189":948,"190":950,"191":951,"192":952,"193":953,"194":957,"195":958,"196":963,"197":964,"198":965,"199":967,"200":969,"201":976,"202":984,"203":990,"204":991,"205":992,"206":993,"207":996,"208":998,"209":1000,"210":1003,"211":1005,"212":1007,"213":1008,"214":1009,"215":1010,"216":1011,"217":1014,"218":1016,"219":1017,"220":1030,"221":1031,"222":1045,"223":1055,"224":1057,"225":1083,"226":1106,"227":1118,"228":1126,"229":1129,"230":1131,"231":1138,"232":1153,"233":1158,"234":1160,"235":1188,"236":1192,"237":1193,"238":1199,"239":1210,"240":1221,"241":1229,"242":1241,"243":1242,"244":1250,"245":1280,"246":1282,"247":1287,"248":1292,"249":1294,"250":1303,"251":1319,"252":1324,"253":1336,"254":1337,"255":1358,"256":1362,"257":1372,"258":1374,"259":1376,"260":1387,"261":1393,"262":1401,"263":1418,"264":1423,"265":1425,"266":1430,"267":1455,"268":1468,"269":1470,"271":1489,"272":1496,"273":1499,"274":1504,"275":1506,"276":1512,"277":1519,"278":1522,"279":1553,"280":1559,"282":1570,"283":1572,"284":1577,"285":1583,"286":1594,"287":1599,"288":1616,"289":1654,"290":1661,"291":1667,"292":1671,"293":1675,"294":1697,"295":1700,"296":1701,"297":1704,"298":1707,"300":1716,"301":1730,"302":1731,"303":1733,"304":1735,"305":1736,"306":1742,"307":1744,"308":1750,"309":1756,"310":1767,"311":1771,"312":1774,"313":1777,"314":1783,"315":1796,"316":1808,"317":1810,"318":1816,"319":1819,"320":1824,"321":1832,"322":1866,"323":1890,"324":1892,"325":1895,"326":1899,"327":1902,"328":1906,"329":1910,"330":1926,"331":1927,"332":1938,"333":1943,"334":1946,"335":1947,"336":1965,"337":1968,"338":1970,"339":1990,"340":1998,"342":2007,"343":2009,"344":2017,"345":2032,"346":2034,"347":2044},{"0":271,"1":287,"2":299,"3":314,"4":322,"5":354,"6":379,"7":417,"8":418,"9":427,"10":434,"11":445,"12":475,"13":477,"14":480,"15":494,"16":503,"17":504,"18":505,"19":508,"20":509,"21":510,"22":511,"23":644,"24":691,"25":708,"26":774,"27":784,"28":813,"29":824,"30":876,"31":884,"32":888,"33":935,"34":954,"35":956,"36":962,"37":966,"38":968,"39":970,"40":982,"41":983,"42":988,"43":995,"44":997,"45":1001,"46":1006,"47":1012,"48":1013,"49":1015,"50":1018,"51":1022,"52":1023,"53":1032,"54":1035,"55":1041,"57":1044,"58":1047,"59":1050,"60":1052,"61":1060,"62":1062,"63":1071,"64":1078,"65":1089,"66":1096,"67":1109,"68":1111,"69":1124,"70":1125,"71":1137,"72":1141,"73":1144,"74":1148,"75":1167,"76":1201,"77":1205,"78":1222,"79":1223,"80":1240,"81":1265,"82":1269,"83":1270,"84":1272,"85":1329,"86":1334,"87":1343,"88":1351,"89":1353,"90":1371,"91":1377,"92":1380,"93":1391,"94":1396,"95":1400,"96":1402,"97":1409,"98":1437,"99":1441,"100":1444,"101":1453,"102":1462,"103":1464,"104":1473,"105":1511,"106":1514,"107":1516,"108":1518,"109":1520,"110":1544,"111":1562,"112":1566,"113":1569,"114":1574,"115":1585,"116":1604,"117":1621,"118":1637,"119":1639,"120":1643,"121":1648,"122":1655,"123":1672,"124":1673,"125":1676,"126":1683,"127":1690,"128":1721,"129":1722,"130":1740,"131":1746,"132":1757,"133":1799,"134":1815,"135":1818,"136":1821,"137":1828,"138":1830,"139":1837,"140":1841,"141":1847,"142":1848,"143":1858,"144":1860,"145":1861,"146":1876,"147":1884,"148":1896,"149":1918,"150":1920,"151":1931,"152":1953,"153":1958,"154":1963,"155":1976,"156":2013,"157":2018,"158":2020,"159":2026,"160":2027,"161":2038,"162":2039,"163":2040},[281,325,410,878,928,932,937,977,981,1019,1020,1043,1051,1054,1067,1087,1099,1105,1117,1149,1161,1175,1225,1228,1239,1249,1257,1271,1281,1283,1340,1344,1355,1369,1378,1407,1420,1424,1433,1436,1451,1478,1482,1492,1505,1537,1540,1561,1568,1576,1597,1609,1610,1618,1622,1632,1636,1642,1662,1663,1665,1677,1678,1681,1694,1706,1758,1765,1786,1798,1804,1805,1826,1838,1839,1851,1854,1859,1863,1870,1874,1879,1882,1889,1909,1916,1924,1928,1942,1949,1950,1961,1972,1982,1991,2000,2010,2015,2016,2035,2043],[1021,1037,1040,1046,1069,1073,1081,1094,1098,1127,1130,1132,1142,1146,1166,1168,1187,1191,1200,1211,1220,1238,1252,1264,1268,1279,1311,1350,1352,1357,1398,1405,1426,1443,1454,1460,1467,1497,1513,1517,1524,1526,1530,1541,1575,1584,1613,1620,1653,1659,1669,1685,1695,1702,1747,1753,1762,1770,1790,1793,1800,1809,1840,1843,1853,1862,1877,1888,1925,1936,1937,1977,1985,1993,1997,2008,2022,2025,2037,2041,2042],[1064,1101,1104,1115,1121,1143,1145,1147,1159,1176,1196,1217,1227,1244,1278,1306,1326,1328,1339,1361,1370,1385,1414,1421,1427,1432,1435,1440,1447,1458,1484,1493,1501,1535,1536,1558,1611,1638,1641,1682,1684,1693,1698,1709,1710,1743,1775,1776,1784,1785,1827,1829,1834,1842,1849,1850,1852,1856,1875,1891,1905,1917,1929,1930,1967,1971,1995,2002,2028,2033],[1026,1038,1049,1061,1075,1113,1140,1156,1162,1164,1204,1226,1243,1260,1273,1293,1298,1325,1331,1341,1345,1373,1416,1461,1465,1503,1510,1525,1547,1564,1579,1589,1600,1608,1651,1688,1705,1713,1715,1727,1760,1773,1779,1787,1791,1802,1831,1864,1872,1886,1887,1913,1914,1915,1919,1923,1944,1959,1979,1981,2014,2036,2045,2046],[1048,1056,1068,1070,1085,1088,1090,1097,1169,1172,1179,1183,1190,1203,1212,1236,1237,1251,1255,1288,1290,1309,1312,1383,1403,1408,1438,1449,1457,1549,1588,1602,1624,1634,1657,1686,1708,1724,1751,1763,1769,1781,1812,1820,1867,1894,1897,1898,1921,1957,1962,1964,1974,1975,1988,2023,2029],[1091,1095,1112,1119,1120,1157,1171,1177,1181,1182,1202,1231,1277,1316,1321,1359,1404,1428,1456,1555,1557,1580,1598,1628,1649,1689,1726,1739,1745,1768,1788,1789,1795,1803,1806,1833,1835,1900,1903,1933,1935,1940,1954,1966,1987,1999,2004,2021],[1029,1077,1103,1134,1139,1178,1230,1356,1386,1388,1394,1410,1422,1429,1495,1546,1548,1550,1560,1586,1593,1630,1674,1807,1869,1951],[1028,1072,1107,1154,1197,1215,1245,1299,1318,1332,1363,1367,1412,1417,1448,1475,1491,1500,1502,1578,1629,1644,1646,1652,1696,1725,1738,1893,1904,1934,1939],[1036,1039,1128,1198,1248,1302,1310,1322,1335,1431,1439,1442,1445,1483,1565,1617,1723,1734,1748,1759,1764,1772,1817,2011],[1076,1079,1155,1173,1180,1214,1452,1477,1521,1527,1528,1538,1603,1612,1761,1994],[1074,1209,1219,1258,1262,1274,1308,1330,1346,1567,1581,1596,1650,1932,2005],[1151,1165,1174,1186,1285,1354,1381,1395,1534,1606,1691,1712,1912,2024,2047],[1232,1235,1256,1365,1485,1556,1668,1737,1752,1811,1989],[1466,1582,1814,1868],[1086,1415]]