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