[{"0":0,"1":2,"2":9,"3":11,"4":12,"5":13,"6":14,"7":17,"28":42,"29":45,"30":46,"31":47,"32":48,"33":49,"34":50,"35":51,"36":52,"37":53,"38":54,"39":55,"40":57,"41":58,"42":60,"43":81,"44":82,"45":83,"46":85,"47":86,"48":90,"49":91,"50":92,"51":93,"52":94,"53":95,"54":97,"55":98,"56":99,"57":101,"58":103,"59":104,"60":105,"61":106,"62":107,"63":108,"64":109,"65":110,"66":111,"67":112,"68":114,"69":115,"70":116,"71":117,"72":120,"73":154,"74":155,"75":157,"76":160,"77":161,"78":162,"79":163,"80":164,"81":165,"82":166,"83":167,"84":168,"85":169,"86":170,"87":172,"88":173,"89":174,"90":175,"91":176,"92":177,"93":178,"94":179,"95":180,"96":186,"97":219,"98":222,"99":229,"100":230,"101":232,"102":233,"103":234,"104":235,"105":236,"106":237,"107":238,"108":239,"109":240,"110":241,"111":242,"112":243,"113":244,"114":245,"115":246,"116":247,"117":248,"118":249,"119":251,"120":252,"121":253,"122":254,"123":255,"124":256,"125":257,"126":258,"127":260,"128":261,"129":262,"130":265,"131":266,"132":267,"133":268,"134":269,"135":270,"136":271,"137":272,"138":273,"139":274,"140":277,"141":292,"142":293,"143":294,"144":295,"145":296,"146":297,"147":299,"148":301,"149":302,"150":304,"151":318,"152":330,"153":332,"156":341,"157":369,"158":370,"159":371,"160":372,"161":373,"162":374,"163":375,"164":377,"165":378,"166":379,"167":380,"168":382,"169":383,"170":384,"171":385,"172":386,"173":387,"174":388,"175":390,"176":392,"177":394,"178":396,"179":397,"180":398,"181":400,"182":402,"183":405,"184":406,"185":407,"186":410,"187":414,"188":415,"189":416,"190":421,"191":422,"192":426,"193":427,"194":428,"195":440,"196":449,"197":450,"198":451,"199":452,"200":453,"201":454,"202":455,"203":457,"204":458,"205":459,"206":460,"207":461,"208":462,"209":463,"210":464,"211":465,"212":466,"213":467,"214":468,"215":470,"216":471,"217":472,"218":473,"219":476,"220":477,"221":478,"222":479,"223":480,"224":481,"225":482,"226":483,"227":485,"228":486,"229":487,"230":508,"231":509,"232":522,"233":523,"234":528,"235":530,"236":531,"237":535,"238":537,"239":538,"240":539,"241":540,"242":541,"243":542,"244":543,"245":544,"246":545,"247":546,"248":549,"249":550,"250":551,"251":552,"252":553,"253":555,"254":556,"255":558,"256":559,"257":560,"258":575,"259":576,"260":578,"261":579,"262":580,"263":581,"264":582,"265":583,"266":584,"267":585,"268":586,"269":588,"270":589,"271":590,"272":591,"273":592,"274":593,"275":594,"276":595,"277":596,"278":598,"279":599,"280":600,"281":601,"282":602,"283":603,"284":604,"285":605,"286":606,"287":607,"288":608,"289":609,"290":610,"291":612,"292":614,"293":616,"294":617,"295":622,"296":627,"297":630,"298":632,"299":639,"300":640,"301":641,"302":642,"303":643,"304":644,"305":645,"306":646,"307":647,"308":648,"309":650,"310":651,"311":652,"312":653,"313":654,"314":655,"315":670,"316":671,"317":673,"318":675,"319":677,"320":678,"321":680,"322":683,"323":687,"324":688,"325":692,"326":693,"327":694,"328":695,"329":696,"330":697,"331":698,"332":699,"333":700,"334":701,"335":702,"336":703,"337":704,"338":705,"339":706,"340":707,"341":708,"342":709,"343":710,"344":711,"345":712,"346":717,"347":718,"348":720,"349":721,"350":722,"351":723,"352":725,"353":730,"354":732,"355":733,"356":737,"357":738,"358":741,"359":742,"360":743,"361":744,"362":746,"363":747,"364":749,"365":752,"366":753,"367":754,"368":755,"369":756,"370":757,"371":758,"372":759,"373":760,"374":761,"375":762,"376":763,"377":764,"378":765,"379":766,"380":767,"381":768,"382":769,"383":770,"384":771,"423":810,"424":811,"425":812,"426":813,"427":814,"428":815,"429":816,"430":817,"431":818,"432":819,"433":820,"434":821,"435":822,"436":823,"437":824,"438":825,"439":826,"440":827,"441":828,"442":829,"443":830,"444":832,"445":833,"446":835,"447":836,"448":837,"449":838,"450":839,"451":840,"452":841,"453":842,"454":844,"455":845,"456":846,"457":847,"458":848,"459":849,"460":850,"461":853,"462":854,"463":855,"464":856,"465":857,"466":858,"467":859,"468":860,"469":861,"470":862,"471":863,"472":864,"473":866,"474":868,"475":869,"476":870,"477":871,"478":872,"479":873,"480":874,"481":875,"482":876,"483":877,"484":878,"485":879,"486":880,"487":881,"488":882,"489":883,"490":884,"491":885,"492":886,"493":887,"494":888,"495":889,"496":890,"497":891,"498":892,"499":893,"500":894,"501":897,"502":898,"503":899,"504":900,"505":903,"506":904,"507":905,"508":906,"509":907,"510":908,"511":909,"512":910,"513":911,"514":912,"515":914,"516":918,"517":919,"518":920,"519":923,"520":924,"521":925,"522":927,"523":928,"524":929,"525":930,"526":932,"527":938,"528":950,"529":951,"530":952,"531":953,"532":954,"533":957,"534":960,"535":961,"536":962,"537":964,"538":965,"539":966,"540":967,"541":968,"542":969,"543":970,"544":971,"545":972,"546":973,"547":974,"548":975,"549":977,"550":978,"551":979,"552":980,"553":981,"554":982,"555":983,"572":1000,"573":1001,"574":1002,"575":1003,"576":1004,"577":1005,"578":1006,"579":1007,"580":1008,"581":1009,"582":1010,"583":1011,"584":1012,"585":1013,"596":1028,"597":1032,"598":1034,"599":1035,"600":1060,"601":1061,"602":1066,"603":1077,"604":1082,"605":1089,"606":1091,"607":1104,"608":1109,"609":1111,"610":1136,"611":1141,"612":1154,"613":1155,"614":1169,"615":1181,"616":1183,"617":1186,"618":1191,"619":1206,"620":1210,"621":1217,"622":1223,"623":1227,"625":1234,"626":1237,"627":1238,"628":1247,"629":1255,"630":1263,"631":1280,"632":1284,"633":1293,"634":1295,"635":1302,"636":1306,"637":1309,"638":1313,"639":1322,"640":1324,"641":1325,"642":1331,"643":1351,"644":1363,"645":1366,"646":1378,"647":1384,"648":1398,"649":1399,"650":1402,"651":1426,"652":1433,"653":1434,"654":1439,"655":1443,"656":1460,"657":1461,"658":1474,"659":1480,"660":1483,"661":1484,"662":1486,"663":1488,"664":1490,"665":1503,"666":1505,"667":1506,"668":1507,"669":1512,"670":1514,"671":1520,"672":1521,"673":1524,"674":1528,"675":1535,"676":1544,"677":1552,"678":1562,"679":1564,"680":1580,"681":1588,"682":1594,"683":1597,"684":1601,"685":1603,"686":1604,"687":1605,"688":1612,"689":1626,"690":1627,"691":1633,"692":1637,"693":1639,"694":1645,"695":1656,"696":1658,"697":1679,"698":1687,"699":1695,"700":1701,"701":1702,"702":1704,"703":1706,"704":1720,"705":1723,"706":1734,"707":1739,"708":1740,"709":1744,"710":1745,"711":1752,"712":1754,"713":1756,"714":1773,"715":1776,"716":1783,"717":1787,"718":1789,"719":1798,"720":1810,"721":1820,"722":1833,"723":1838,"724":1840,"725":1849,"726":1852,"727":1856,"728":1871,"730":1881,"731":1893,"732":1894,"733":1897,"734":1930,"735":1933,"736":1935,"737":1943,"738":1947,"739":1955,"740":1960,"741":1965,"742":1966,"743":1969,"744":1978,"745":1992,"746":1994,"747":1998,"748":1999,"749":2000,"750":2006,"751":2007,"752":2016,"753":2032,"754":2033,"755":2042,"756":2044,"757":2045},{"0":1,"1":3,"2":4,"3":5,"4":6,"5":7,"6":8,"7":10,"8":15,"9":16,"10":18,"11":19,"12":20,"13":41,"14":43,"15":44,"16":56,"17":59,"18":61,"19":65,"20":66,"21":67,"22":73,"23":74,"24":75,"25":76,"26":77,"27":78,"28":79,"29":84,"30":87,"31":88,"32":89,"33":96,"34":100,"35":102,"36":113,"37":118,"38":119,"39":121,"40":141,"41":142,"42":145,"43":147,"44":148,"45":150,"46":151,"47":152,"48":153,"49":156,"50":158,"51":171,"52":181,"53":198,"54":200,"55":203,"56":204,"57":205,"58":207,"59":208,"60":209,"61":210,"62":211,"63":213,"64":214,"65":215,"66":220,"67":221,"68":223,"69":224,"70":225,"71":226,"72":227,"73":228,"74":231,"75":259,"76":263,"77":264,"78":275,"79":276,"80":278,"81":279,"82":280,"83":282,"84":284,"85":285,"86":286,"87":290,"88":298,"89":300,"90":303,"91":320,"92":323,"93":326,"94":328,"95":340,"96":347,"97":352,"98":353,"99":354,"100":355,"101":361,"102":363,"103":367,"104":376,"105":381,"106":389,"107":391,"108":393,"109":395,"110":399,"111":403,"112":404,"113":408,"114":411,"115":417,"116":418,"117":423,"118":424,"119":429,"120":432,"121":433,"122":438,"123":442,"124":444,"125":446,"126":448,"127":456,"128":469,"129":474,"130":475,"131":484,"132":488,"133":489,"134":490,"135":491,"136":492,"137":493,"138":494,"139":495,"140":496,"141":497,"142":499,"143":500,"144":501,"145":503,"146":506,"147":510,"148":511,"149":513,"150":516,"151":519,"152":520,"153":521,"154":524,"155":525,"156":526,"157":527,"158":529,"159":534,"160":547,"161":554,"162":557,"163":561,"164":562,"165":564,"166":565,"167":566,"168":567,"169":571,"170":574,"171":577,"172":587,"173":597,"174":611,"175":613,"176":618,"177":619,"178":625,"179":628,"180":629,"181":631,"182":635,"183":636,"184":637,"185":638,"186":649,"187":656,"188":657,"189":658,"190":659,"191":660,"192":661,"193":662,"194":664,"195":665,"196":666,"197":667,"198":668,"199":672,"200":685,"201":689,"202":690,"203":724,"204":727,"205":728,"206":731,"207":734,"208":735,"209":736,"210":739,"211":740,"212":745,"213":748,"214":750,"215":751,"216":831,"217":834,"218":843,"219":851,"220":852,"221":865,"222":867,"223":895,"224":902,"225":913,"226":915,"227":916,"228":917,"229":921,"230":922,"231":926,"232":931,"233":933,"234":934,"235":935,"236":937,"237":939,"238":941,"239":942,"240":943,"241":944,"242":945,"243":946,"244":947,"245":948,"246":949,"247":955,"248":956,"249":958,"250":959,"251":963,"252":976,"253":1024,"254":1025,"255":1033,"256":1036,"257":1037,"258":1042,"259":1043,"260":1045,"261":1053,"262":1055,"263":1064,"264":1075,"265":1079,"266":1085,"267":1090,"268":1096,"269":1099,"270":1100,"271":1108,"272":1112,"273":1114,"274":1118,"275":1124,"276":1126,"277":1127,"278":1129,"279":1133,"280":1137,"281":1138,"282":1142,"283":1143,"284":1145,"285":1147,"286":1156,"287":1157,"288":1163,"289":1164,"290":1167,"291":1179,"292":1187,"293":1192,"294":1193,"295":1197,"296":1199,"297":1202,"298":1205,"299":1214,"300":1220,"301":1224,"302":1226,"303":1240,"304":1243,"305":1249,"306":1252,"307":1267,"308":1272,"309":1281,"310":1285,"311":1292,"312":1294,"313":1300,"314":1304,"315":1305,"316":1307,"317":1311,"318":1315,"319":1318,"320":1327,"321":1328,"322":1342,"323":1347,"324":1350,"325":1352,"326":1354,"327":1358,"328":1364,"329":1369,"330":1370,"331":1389,"332":1390,"333":1391,"334":1403,"335":1404,"336":1410,"337":1411,"338":1415,"339":1422,"340":1424,"341":1432,"342":1435,"343":1440,"344":1453,"345":1454,"346":1457,"347":1468,"348":1476,"349":1481,"350":1492,"351":1493,"352":1494,"353":1500,"354":1501,"355":1516,"356":1526,"357":1532,"358":1534,"359":1538,"360":1550,"361":1551,"362":1557,"363":1561,"364":1567,"365":1572,"366":1577,"367":1586,"368":1634,"369":1635,"370":1648,"371":1670,"372":1681,"373":1686,"374":1693,"376":1700,"377":1715,"378":1716,"379":1722,"380":1726,"381":1728,"382":1733,"383":1736,"384":1749,"385":1760,"386":1768,"387":1769,"388":1770,"389":1771,"390":1785,"391":1793,"392":1797,"393":1799,"394":1801,"395":1803,"396":1811,"397":1812,"398":1819,"399":1821,"400":1823,"401":1826,"402":1830,"403":1842,"404":1855,"405":1860,"406":1863,"407":1865,"408":1877,"409":1899,"410":1914,"411":1918,"412":1929,"413":1942,"414":1945,"415":1950,"416":1951,"417":1971,"418":1976,"419":1983,"420":1985,"421":1988,"422":2003,"423":2018,"425":2026,"426":2027,"427":2031,"428":2036,"429":2039,"430":2040},[62,63,64,68,69,70,71,72,80,122,123,124,125,126,127,128,129,130,131,132,133,134,135,137,138,139,143,144,146,149,159,182,183,184,185,187,189,191,192,194,195,196,199,201,202,206,216,217,250,281,283,287,288,289,291,306,307,308,309,310,313,314,315,316,319,321,322,324,325,327,329,331,335,336,337,338,339,342,343,344,348,349,350,351,356,357,358,359,360,364,365,366,368,401,409,413,419,420,425,430,434,437,439,441,443,445,447,498,502,504,507,512,514,515,517,532,533,536,548,563,568,569,570,572,573,615,620,621,623,624,626,633,634,663,669,674,676,679,681,682,684,686,691,713,714,719,726,729,896,901,936,940,1040,1051,1062,1068,1076,1094,1097,1102,1128,1144,1150,1151,1170,1171,1198,1200,1201,1212,1228,1239,1245,1256,1259,1269,1274,1275,1279,1282,1287,1298,1299,1301,1320,1326,1335,1338,1346,1348,1349,1356,1357,1361,1382,1385,1393,1396,1397,1405,1419,1427,1429,1431,1469,1473,1485,1497,1527,1531,1540,1543,1545,1555,1559,1575,1583,1584,1587,1591,1599,1602,1607,1614,1628,1638,1643,1644,1655,1659,1665,1672,1680,1707,1710,1712,1718,1732,1738,1741,1746,1747,1750,1767,1784,1804,1808,1809,1813,1828,1835,1836,1841,1844,1862,1870,1898,1900,1903,1905,1908,1910,1911,1915,1922,1926,1931,1953,1954,1977,1991,1995,2009,2014,2019,2029,2037],[136,140,188,190,193,197,212,311,312,317,345,362,412,431,435,436,505,518,1026,1027,1046,1047,1049,1056,1057,1059,1088,1148,1165,1180,1190,1218,1235,1236,1253,1261,1290,1321,1336,1337,1353,1365,1371,1372,1379,1395,1406,1414,1423,1425,1446,1455,1467,1477,1487,1498,1522,1585,1595,1609,1616,1617,1621,1653,1654,1657,1664,1676,1677,1682,1684,1711,1753,1758,1763,1766,1774,1779,1791,1792,1796,1834,1850,1883,1887,1889,1896,1901,1907,1916,1923,1937,1959,1989,2008,2013,2021,2023,2030],[218,305,346,715,716,1074,1095,1115,1116,1177,1207,1242,1246,1248,1268,1289,1329,1334,1344,1355,1375,1377,1381,1386,1408,1428,1466,1495,1513,1517,1518,1525,1533,1554,1556,1565,1568,1574,1576,1590,1598,1608,1613,1631,1641,1678,1696,1709,1757,1790,1817,1851,1861,1876,1885,1909,1919,1927,1932,1957,1962,2011],[1030,1038,1039,1073,1078,1105,1135,1153,1168,1174,1182,1194,1209,1222,1251,1265,1273,1288,1310,1316,1333,1341,1383,1413,1416,1442,1445,1459,1478,1491,1510,1515,1523,1529,1537,1539,1541,1547,1579,1611,1622,1629,1652,1663,1673,1688,1690,1705,1708,1721,1755,1764,1765,1778,1794,1816,1839,1857,1872,1882,1884,1892,1902,1904,1920,1934,1941,1948,1961,1963,1972,2002,2022,2028],[1041,1044,1052,1069,1080,1087,1122,1131,1134,1140,1173,1185,1195,1203,1208,1254,1270,1271,1297,1330,1332,1362,1367,1368,1376,1380,1401,1412,1438,1447,1465,1470,1482,1496,1499,1546,1553,1569,1570,1578,1592,1596,1618,1619,1620,1623,1624,1630,1632,1649,1661,1667,1671,1675,1689,1698,1703,1713,1717,1730,1731,1759,1761,1825,1832,1843,1845,1848,1853,1864,1868,1878,1921,1958,1974,1980,1981,1990,1993,1997,2010,2017,2041],[1029,1031,1048,1054,1063,1067,1071,1072,1081,1103,1110,1117,1123,1125,1149,1159,1161,1162,1178,1196,1213,1232,1233,1262,1276,1283,1340,1345,1359,1387,1394,1409,1417,1420,1452,1464,1471,1472,1508,1542,1549,1558,1581,1582,1625,1651,1666,1669,1674,1685,1691,1694,1727,1735,1748,1782,1786,1800,1805,1806,1837,1866,1867,1890,1912,1917,1924,1928,1939,1940,1949,1967,1975,2024,2034,2043],[1083,1084,1086,1092,1093,1098,1101,1132,1160,1166,1211,1221,1231,1241,1244,1291,1303,1312,1343,1374,1421,1430,1437,1441,1463,1475,1566,1610,1640,1642,1646,1650,1714,1719,1772,1780,1788,1795,1807,1824,1831,1854,1858,1869,1874,1879,1888,1895,1906,1913,1938,1952,1956,1964,1968,1970,1984,1987,1996,2005,2015],[1065,1070,1107,1119,1120,1121,1130,1139,1146,1152,1158,1172,1189,1219,1229,1264,1266,1286,1323,1339,1373,1388,1462,1479,1489,1530,1560,1573,1593,1600,1636,1683,1699,1729,1762,1777,1781,1818,1822,1827,1873,1982],[1058,1176,1184,1215,1216,1225,1296,1308,1407,1436,1448,1458,1504,1511,1519,1548,1563,1571,1647,1662,1668,1692,1724,1742,1743,1751,1802,1814,1815,1829,1846,1936,1973,2004,2035,2038,2047],[1050,1175,1188,1277,1360,1392,1450,1451,1456,1615,1737,1775,1880,1925,1944,1946,1986,2001,2012,2046],[1106,1113,1204,1250,1257,1260,1278,1319,1400,1449,1502,1509,1660,1859,1886,1891],[1258,1317,1418,1444,1589,1606,1847,1979],[1314,1536,1725],[2020]]