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