[[0,1,26,92,93,94,107,113,118,131,138,139,156,172,214,215,216,217,218,222,238,240,241,243,250,251,255,345,347,348,369,371,380,384,385,386,401,406,407,409,454,544,545,546,575,584,726,729,743,794,862,883,938,939,964,974,976,978,980,994,996,997,999,1000,1002,1003,1006,1007,1008,1010,1012,1038,1041,1082,1083,1085,1086,1097,1110,1111,1112,1113,1115,1128,1129,1130,1132,1135,1137,1138,1139,1140,1160,1163,1174,1193,1202,1204,1205,1206,1207,1208,1209,1225,1226,1228,1231,1235,1236,1243,1244,1262,1263,1273,1274,1276,1281,1294,1301,1302,1322,1335,1336,1337,1338,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1369,1370,1372,1373,1374,1375,1376,1377,1379,1380,1381,1382,1383,1384,1385,1386,1401,1405,1411,1474,1475,1493,1499,1500,1508,1512,1513,1525,1527,1531,1532,1535,1537,1538,1580,1582,1583,1604,1609,1610,1611,1612,1617,1668,1697,1698,1716,1722,1723,1757,1780,1792,1796,1799,1800,1804,1805,1806,1807,1808,1823,1825,1833,1836,1838,1868,1869,1871,1896,1897,1916,1932,1961,1978,1980,1996,1998,2008,2009,2011,2016,2020],[19,55,95,112,114,119,120,121,122,129,133,136,137,140,142,144,145,155,164,166,169,171,173,204,219,220,221,225,226,239,242,245,246,247,253,310,344,346,349,366,367,381,387,399,403,404,408,476,520,521,538,539,542,543,547,566,568,572,574,577,578,579,581,585,604,605,647,692,722,725,728,746,748,749,758,807,810,842,977,979,982,983,1005,1009,1013,1014,1016,1039,1043,1044,1064,1080,1114,1117,1118,1126,1131,1134,1136,1142,1143,1144,1157,1168,1176,1194,1198,1200,1210,1266,1279,1280,1290,1296,1300,1304,1305,1320,1323,1339,1368,1371,1378,1404,1409,1416,1418,1419,1420,1439,1440,1442,1443,1476,1503,1505,1514,1515,1516,1517,1528,1529,1530,1534,1569,1585,1601,1602,1605,1616,1621,1628,1636,1639,1644,1662,1666,1669,1696,1724,1725,1727,1739,1740,1741,1745,1746,1749,1756,1758,1772,1777,1779,1782,1783,1793,1795,1810,1821,1822,1824,1826,1832,1835,1840,1842,1844,1845,1872,1873,1875,1877,1882,1883,1888,1890,1891,1893,1901,1902,1921,1930,1948,1963,1965,1985,1997,2000,2010,2019],{"0":18,"1":42,"2":43,"3":108,"4":115,"5":123,"6":124,"7":132,"8":135,"9":146,"10":147,"11":148,"12":160,"13":162,"14":163,"16":224,"17":237,"18":244,"19":248,"20":308,"21":342,"22":350,"23":364,"24":388,"25":398,"26":402,"27":410,"28":434,"29":445,"30":455,"31":456,"32":458,"33":477,"34":505,"35":522,"36":523,"37":524,"38":525,"39":533,"40":534,"41":535,"42":548,"43":552,"44":571,"45":688,"46":697,"47":727,"48":732,"49":735,"50":745,"51":750,"52":759,"53":795,"54":796,"55":798,"56":808,"57":809,"58":812,"59":816,"60":843,"61":844,"62":852,"63":859,"64":890,"65":940,"66":957,"67":984,"68":998,"69":1001,"70":1015,"71":1032,"72":1035,"73":1042,"74":1065,"75":1075,"76":1077,"77":1084,"78":1103,"79":1109,"80":1119,"81":1120,"82":1124,"83":1125,"84":1133,"85":1159,"86":1162,"87":1167,"88":1195,"89":1275,"90":1277,"91":1298,"92":1321,"93":1324,"94":1328,"95":1340,"96":1346,"97":1363,"98":1390,"99":1393,"100":1403,"101":1417,"102":1421,"103":1422,"104":1433,"105":1435,"106":1436,"107":1437,"108":1441,"109":1459,"110":1477,"111":1501,"112":1518,"113":1520,"114":1526,"115":1539,"116":1561,"117":1566,"118":1568,"119":1572,"120":1581,"121":1584,"122":1586,"123":1587,"124":1588,"125":1599,"126":1600,"127":1622,"128":1629,"129":1632,"130":1633,"131":1638,"132":1640,"133":1641,"134":1655,"135":1659,"136":1663,"137":1664,"138":1671,"139":1700,"140":1709,"141":1710,"142":1711,"143":1712,"144":1714,"145":1726,"146":1729,"147":1730,"148":1731,"149":1752,"150":1754,"151":1755,"152":1759,"153":1768,"154":1776,"155":1781,"156":1801,"157":1809,"158":1812,"159":1813,"160":1827,"161":1858,"162":1859,"163":1874,"164":1878,"165":1884,"166":1885,"167":1887,"168":1889,"169":1894,"170":1904,"171":1920,"172":1922,"173":1924,"174":1931,"175":1933,"176":1934,"177":1937,"178":1953,"179":1956,"180":1957,"181":1960,"182":1962,"183":1964,"184":1986,"185":1989,"186":1994,"187":1995,"188":1999,"189":2003,"190":2012,"191":2018,"192":2021,"193":2022,"194":2023,"195":2024,"196":2042},[2,3,6,13,17,22,27,28,31,33,34,44,45,50,51,96,110,111,116,125,134,158,161,167,200,249,254,257,309,311,337,351,373,400,412,414,435,444,457,460,486,490,491,506,507,513,515,516,518,549,550,551,553,570,573,586,606,607,619,626,694,695,696,709,711,717,724,730,731,733,736,751,752,754,757,797,806,817,845,854,855,857,864,898,899,900,902,903,920,921,922,981,986,1004,1011,1019,1029,1033,1037,1040,1045,1046,1049,1062,1063,1066,1068,1070,1071,1076,1079,1088,1116,1127,1141,1145,1148,1149,1158,1164,1165,1169,1170,1171,1175,1177,1179,1192,1203,1211,1246,1254,1264,1306,1307,1318,1364,1387,1388,1406,1410,1413,1425,1430,1432,1438,1444,1480,1521,1533,1540,1541,1570,1606,1608,1614,1615,1618,1619,1620,1623,1630,1631,1634,1635,1637,1642,1645,1647,1653,1654,1670,1687,1690,1701,1703,1732,1733,1742,1744,1751,1753,1769,1774,1784,1785,1786,1797,1798,1802,1803,1811,1814,1828,1843,1854,1862,1865,1866,1876,1879,1886,1892,1895,1898,1917,1935,1946,1947,1949,1951,1952,1967,1968,1982,1984,2001,2004,2014,2015,2017],[4,5,7,15,29,30,32,47,49,97,98,100,105,128,130,141,143,149,150,157,159,168,175,213,223,256,312,313,370,378,379,382,389,411,416,443,446,450,459,461,462,487,492,493,494,496,510,526,527,532,536,540,576,583,587,588,595,597,608,618,627,631,648,654,667,721,734,760,761,762,778,780,781,786,787,788,791,841,847,880,886,889,896,901,904,905,906,928,932,934,941,942,943,963,965,967,973,985,987,988,1021,1031,1034,1048,1051,1052,1067,1069,1072,1073,1087,1121,1161,1173,1196,1199,1265,1303,1334,1365,1389,1391,1392,1407,1408,1412,1426,1448,1466,1467,1479,1481,1482,1497,1504,1506,1510,1519,1522,1563,1567,1578,1589,1590,1591,1592,1624,1648,1656,1657,1661,1667,1675,1676,1682,1692,1694,1713,1721,1728,1734,1760,1761,1762,1787,1831,1834,1841,1864,1870,1899,1900,1923,1927,1950,1954,1955,1958,1959,1966,1969,1981,1983,1987,1991,2002,2005,2006,2027,2028,2029,2035,2036,2044,2047],[35,36,41,46,48,52,53,54,117,126,152,165,170,193,203,227,228,230,232,258,314,354,374,390,391,405,417,436,441,479,482,488,495,497,498,499,514,537,541,554,555,556,557,560,565,569,582,589,600,602,610,611,612,613,623,624,625,640,641,649,668,672,674,684,698,700,710,712,716,737,740,747,764,767,779,790,792,800,815,833,846,865,869,882,907,909,910,912,918,919,923,924,926,929,931,935,936,945,970,1017,1018,1022,1023,1028,1047,1056,1078,1081,1089,1090,1156,1172,1178,1180,1181,1184,1189,1191,1239,1267,1295,1299,1308,1310,1311,1327,1331,1332,1333,1345,1415,1434,1449,1465,1471,1473,1478,1483,1488,1494,1502,1523,1543,1544,1545,1546,1548,1550,1562,1571,1577,1625,1643,1660,1672,1677,1678,1681,1683,1684,1685,1686,1689,1691,1695,1699,1704,1718,1719,1736,1748,1763,1771,1788,1789,1816,1837,1839,1846,1849,1850,1855,1856,1906,1908,1915,1926,1936,1940,1970,1971,1979,1988,2007,2013,2025,2039,2040,2043],{"0":8,"1":37,"2":38,"3":39,"4":56,"5":151,"6":176,"7":179,"9":186,"10":199,"11":201,"12":229,"13":259,"14":288,"15":301,"16":315,"17":352,"18":353,"19":358,"20":377,"21":383,"22":418,"23":419,"24":420,"25":421,"26":438,"27":448,"28":475,"29":484,"30":511,"31":517,"32":529,"33":558,"34":561,"35":567,"36":580,"37":590,"38":609,"39":622,"40":629,"41":643,"42":644,"43":650,"44":655,"45":693,"46":699,"47":705,"48":714,"49":720,"50":723,"51":739,"52":741,"53":753,"54":763,"55":765,"56":766,"57":768,"58":771,"59":777,"60":784,"61":799,"62":801,"63":811,"64":818,"65":820,"66":821,"67":834,"68":837,"69":848,"70":849,"71":858,"72":863,"73":867,"74":884,"75":888,"76":892,"77":927,"78":930,"79":937,"80":947,"81":968,"82":989,"83":990,"84":1020,"85":1024,"86":1030,"87":1050,"88":1106,"89":1122,"90":1123,"91":1146,"92":1151,"93":1155,"94":1190,"95":1197,"96":1201,"97":1212,"98":1230,"99":1247,"100":1309,"101":1314,"102":1366,"103":1367,"104":1395,"105":1396,"106":1423,"107":1427,"108":1431,"109":1464,"110":1484,"111":1485,"112":1490,"113":1496,"114":1509,"115":1549,"116":1551,"117":1560,"118":1564,"119":1574,"120":1593,"121":1603,"122":1613,"123":1649,"124":1658,"125":1673,"126":1674,"127":1679,"128":1680,"129":1688,"130":1693,"131":1702,"132":1715,"133":1717,"134":1735,"135":1737,"136":1743,"137":1747,"138":1790,"139":1830,"140":1847,"141":1848,"142":1851,"143":1863,"144":1880,"145":1903,"146":1905,"147":1911,"148":1919,"149":1928,"150":1941,"151":1972,"152":2030,"153":2041,"154":2045},{"0":9,"1":57,"2":58,"3":59,"4":60,"5":63,"6":75,"7":79,"8":82,"9":83,"10":85,"11":86,"12":89,"13":90,"14":99,"15":106,"16":109,"17":127,"18":177,"19":178,"20":181,"23":184,"24":185,"25":188,"26":198,"27":231,"28":233,"29":234,"30":252,"31":289,"32":290,"33":294,"34":299,"35":302,"36":305,"37":338,"38":356,"39":363,"40":372,"41":375,"42":393,"43":397,"44":426,"45":428,"46":429,"47":437,"48":449,"49":451,"50":465,"51":470,"52":480,"53":485,"54":512,"55":530,"56":559,"57":598,"58":601,"59":603,"60":614,"61":621,"62":628,"63":630,"64":632,"65":652,"66":656,"67":658,"68":659,"69":676,"70":702,"71":704,"72":718,"73":719,"74":738,"75":744,"76":755,"77":756,"78":769,"79":770,"80":772,"81":782,"82":783,"83":785,"84":789,"85":793,"86":803,"87":804,"88":822,"89":830,"90":851,"91":861,"92":866,"93":868,"94":870,"95":875,"96":876,"97":885,"98":887,"99":893,"100":897,"101":914,"102":915,"103":925,"104":944,"105":946,"106":948,"107":949,"108":952,"109":953,"110":995,"111":1027,"112":1053,"113":1054,"114":1059,"115":1074,"116":1094,"117":1095,"118":1099,"119":1100,"120":1107,"121":1147,"122":1150,"123":1185,"124":1186,"125":1214,"126":1215,"127":1216,"128":1217,"129":1227,"130":1248,"131":1249,"132":1250,"133":1255,"134":1268,"135":1287,"136":1297,"137":1312,"138":1313,"139":1315,"140":1319,"141":1326,"142":1330,"143":1342,"144":1402,"145":1414,"146":1424,"147":1428,"148":1429,"149":1445,"150":1446,"151":1457,"152":1486,"153":1487,"154":1492,"155":1507,"156":1511,"157":1542,"158":1547,"159":1559,"160":1565,"161":1573,"162":1579,"163":1596,"164":1626,"165":1646,"166":1650,"167":1705,"168":1720,"169":1750,"170":1764,"171":1794,"172":1853,"173":1857,"174":1860,"175":1861,"176":1907,"177":1909,"178":1912,"179":1938,"180":1945,"181":1973,"182":1976,"183":1990,"184":1992,"185":2026,"186":2031,"187":2038},[10,11,61,62,65,66,67,68,76,77,78,80,81,101,102,189,192,195,206,260,263,264,266,267,268,276,277,279,281,283,284,285,286,297,300,303,306,322,323,324,333,339,355,357,359,392,413,430,431,432,433,442,447,452,463,464,467,468,469,471,500,501,508,519,528,615,616,617,620,646,653,657,679,701,703,713,742,773,775,776,819,832,856,872,873,874,879,895,908,911,913,917,950,951,954,955,975,991,1025,1026,1055,1102,1152,1153,1166,1182,1187,1218,1219,1220,1221,1229,1232,1233,1238,1242,1245,1251,1256,1257,1258,1282,1283,1289,1341,1348,1394,1397,1400,1447,1450,1458,1460,1461,1462,1463,1472,1491,1495,1498,1553,1575,1594,1738,1766,1791,1815,1817,1818,1829,1867,1881,1910,1929,1939,1942,1943,1944,1974,2037],[21,40,64,70,74,87,153,197,208,210,212,235,261,262,269,274,280,282,291,318,328,332,340,360,362,365,396,415,422,439,453,466,473,474,483,502,503,504,531,564,591,592,599,651,662,665,774,802,823,825,831,835,850,871,877,881,916,933,956,1036,1057,1060,1093,1096,1098,1101,1104,1154,1222,1224,1237,1241,1259,1260,1261,1270,1316,1325,1347,1351,1398,1399,1453,1454,1455,1470,1552,1554,1555,1576,1598,1607,1627,1775,1778,1819,1852,1918,1993,2034],[69,71,103,104,194,196,207,209,236,265,270,275,278,287,292,316,319,320,325,343,376,423,440,478,509,562,563,593,594,596,633,635,636,637,642,660,661,664,670,706,707,826,829,838,839,878,891,894,992,1058,1091,1105,1108,1183,1188,1213,1234,1252,1269,1272,1286,1343,1344,1349,1350,1452,1456,1469,1489,1558,1595,1706,1707,1765,1770,1773,1913,1925,2033,2046],[12,72,91,187,191,211,271,273,304,307,317,321,394,395,424,481,489,634,708,813,824,836,840,853,860,960,961,993,1061,1092,1223,1240,1253,1317,1329,1451,1524,1556,1557,1597,1651,1665,1708,1820,1914,1975,2032],[84,272,293,298,361,368,425,427,472,638,639,673,678,690,691,827,828,966,969,972,1536,1652,1767,1977],[14,20,73,88,154,190,295,296,326,327,330,331,645,663,715,958,971,1271,1285,1291,1468],[23,24,329,341,959,962],[16,25,335,805,814,1278,1284,1288],[334,336,666,669,671,675,683,689,1292,1293],[680,685,686],[677,681,682,687],[202,205]]