Quelle CANFACT.g Sprache: unbekannt

#############################################################################
##
#A CANFACT.g Frank Lübeck
##
## The list CANFACT was generated by the code in generateCANFACT.g after
## updating the list of Brent factors in GAP (pkg/FactInt*/tables/brent).
##

## <#GAPDoc Label="CANFACT">
## <ManSection>
## <Var Name="CANFACT" />
## <Description>
## This variable contains a list where for each prime <M>p < 10000</M>
## the entry <C>CANFACT[p]</C> holds a list of integers <M>i</M> such that
## the number <M>p^i-1</M> (the order of the multiplicative group of the
## finite field <C>FF(p,i)</C>) can be factored by &GAP; in a short time.
## This is based on the enormous efforts to find factors of numbers of this
## form, see <Cite Key="BrentFactors" />.
## 
## For <M>p < 10</M> the range of considered exponents is <M>2 \leq i
## \leq 2000</M>, for <M>10 it is <M>2 \leq i \leq
## 500</M>, and for <M>100 it is <M>2 \leq i \leq
## 100</M>.
## 
## These data describe <M>112515</M> pairs <C>p, i</C> such that
## <C>StandardPrimitiveRoot(FF(p,i))</C> can be computed in reasonable
## time. Only for <M>10858</M> of these cases &GAP; knows or can
## easily compute the corresponding Conway polynomial (see <Ref
## BookName="Reference" Func="ConwayPolynomial"/>).
## 
## The current content of <C>CANFACT</C> was generated with the data in
## the <Package>FactInt</Package> package version 1.6.3 concerning factors
## of numbers of the form <M>a^n \pm 1</M>.
## </Description>
## </ManSection>
## <#/GAPDoc>
##
CANFACT:=[,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,
292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,
447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,
509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,
540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,
571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,
602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,
633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,
664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,
788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,
819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,
850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,
881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,
912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,930,931,932,933,934,935,936,937,938,939,940,941,942,943,
944,945,946,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,
976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,
1008,1010,1011,1012,1013,1014,1015,1016,1017,1018,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,
1036,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1052,1053,1054,1055,1056,1057,1058,1059,1060,1062,1063,1064,
1065,1066,1068,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1094,
1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1110,1112,1113,1114,1115,1116,1118,1119,1120,1121,1122,1124,
1125,1126,1127,1128,1130,1131,1132,1133,1134,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1148,1149,1150,1152,1154,1155,
1156,1157,1158,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1172,1173,1174,1175,1176,1178,1179,1180,1181,1182,1183,1184,
1185,1186,1187,1188,1189,1190,1191,1192,1194,1195,1196,1197,1198,1200,1202,1204,1205,1206,1208,1209,1210,1211,1212,1214,1216,1218,
1220,1221,1222,1223,1224,1225,1226,1227,1228,1230,1232,1233,1234,1235,1236,1238,1240,1242,1244,1246,1248,1250,1252,1254,1256,1258,
1260,1262,1263,1264,1266,1267,1268,1270,1272,1273,1274,1275,1276,1278,1279,1280,1282,1284,1286,1288,1289,1290,1292,1294,1295,1296,
1298,1300,1302,1303,1304,1305,1306,1307,1308,1310,1312,1313,1314,1316,1318,1320,1321,1322,1324,1326,1327,1328,1330,1332,1334,1335,
1336,1337,1338,1340,1342,1344,1346,1348,1350,1352,1354,1355,1356,1358,1360,1361,1362,1363,1364,1365,1366,1368,1370,1372,1374,1375,
1376,1378,1380,1382,1384,1386,1388,1390,1392,1394,1396,1397,1398,1400,1402,1404,1405,1406,1407,1408,1410,1411,1412,1413,1414,1416,
1418,1420,1422,1424,1426,1427,1428,1430,1431,1432,1434,1435,1436,1438,1440,1442,1444,1446,1448,1449,1450,1452,1454,1455,1456,1458,
1459,1460,1461,1462,1464,1466,1468,1469,1470,1472,1473,1474,1476,1478,1480,1482,1484,1485,1486,1487,1488,1490,1492,1494,1495,1496,
1498,1500,1502,1504,1506,1508,1510,1512,1514,1516,1518,1520,1522,1524,1526,1527,1528,1530,1531,1532,1534,1535,1536,1538,1539,1540,
1542,1544,1545,1546,1547,1548,1550,1552,1553,1554,1555,1556,1557,1558,1560,1562,1564,1566,1568,1570,1572,1574,1575,1576,1578,1580,
1582,1584,1586,1588,1590,1592,1593,1594,1596,1598,1600,1602,1604,1605,1606,1608,1610,1612,1614,1616,1617,1618,1620,1622,1623,1624,
1625,1626,1628,1630,1632,1634,1636,1637,1638,1640,1642,1644,1646,1648,1650,1652,1654,1656,1658,1660,1662,1664,1666,1668,1670,1671,
1672,1673,1674,1676,1678,1680,1681,1682,1683,1684,1686,1688,1690,1692,1693,1694,1696,1698,1700,1702,1704,1706,1708,1710,1712,1713,
1714,1716,1718,1720,1722,1724,1726,1727,1728,1730,1732,1734,1736,1738,1740,1742,1744,1746,1748,1750,1752,1754,1756,1758,1760,1762,
1764,1766,1768,1770,1772,1774,1776,1778,1780,1781,1782,1783,1784,1786,1788,1790,1792,1794,1796,1797,1798,1800,1802,1804,1806,1808,
1810,1812,1814,1815,1816,1818,1820,1822,1824,1826,1828,1830,1832,1834,1836,1838,1840,1842,1844,1846,1848,1850,1852,1854,1856,1860,
1862,1864,1866,1868,1870,1872,1874,1876,1878,1880,1882,1884,1886,1888,1890,1892,1896,1898,1900,1902,1904,1906,1908,1910,1912,1914,
1916,1917,1918,1920,1924,1925,1926,1927,1928,1930,1932,1934,1935,1936,1938,1940,1942,1944,1946,1948,1950,1952,1954,1956,1958,1960,
1962,1964,1968,1970,1972,1974,1975,1976,1980,1983,1984,1986,1988,1990,1992,1994,1996,1997,1998],
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,
448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,
541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,
572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,590,591,592,594,595,596,597,598,599,600,601,602,603,604,
605,606,607,608,609,610,611,612,614,615,616,618,620,621,622,624,626,627,628,629,630,631,632,633,634,635,636,638,639,640,641,
642,643,644,645,646,647,648,649,650,651,652,654,656,657,658,659,660,662,663,664,665,666,668,669,670,672,673,674,675,676,678,
680,682,684,685,686,687,688,690,692,693,694,695,696,698,699,700,702,704,705,706,707,708,709,710,711,712,714,716,717,718,719,
720,721,722,723,724,726,727,728,730,732,734,735,736,737,738,740,741,742,743,744,746,747,748,749,750,752,753,754,755,756,757,
758,759,760,761,762,764,765,766,767,768,770,771,772,774,776,777,778,780,781,782,784,785,786,787,788,790,792,793,794,795,796,
798,799,800,802,804,806,808,810,812,814,816,818,820,821,822,824,825,826,828,830,832,834,836,838,840,842,844,846,848,850,852,
854,856,858,860,862,863,864,866,868,870,872,873,874,875,876,878,880,882,884,886,888,890,892,894,896,898,900,902,904,906,908,
910,911,912,914,916,918,919,920,922,924,926,927,928,930,932,934,936,938,940,942,944,945,946,948,950,952,954,956,958,960,962,
964,966,968,970,972,973,974,976,978,980,981,982,984,986,987,988,990,992,994,996,998,999,1000,1002,1004,1006,1008,1010,1012,
1014,1016,1018,1020,1022,1024,1026,1028,1029,1030,1032,1034,1036,1037,1038,1040,1042,1044,1046,1048,1050,1052,1054,1056,1058,1059,
1060,1062,1064,1065,1066,1068,1069,1070,1072,1073,1074,1076,1078,1080,1082,1084,1086,1088,1090,1091,1092,1093,1094,1096,1098,1100,
1102,1104,1106,1107,1108,1110,1112,1114,1116,1118,1120,1122,1124,1126,1128,1130,1132,1134,1136,1137,1138,1140,1142,1143,1144,1146,
1148,1150,1152,1153,1154,1156,1158,1160,1162,1164,1166,1168,1170,1172,1174,1176,1179,1180,1182,1188,1190,1194,1196,1200,1202,1204,
1206,1212,1213,1218,1220,1222,1224,1228,1230,1236,1239,1240,1244,1248,1252,1254,1256,1258,1260,1266,1268,1272,1276,1277,1278,1280,
1282,1284,1288,1290,1292,1296,1298,1300,1302,1304,1308,1312,1316,1320,1326,1330,1332,1338,1340,1344,1346,1349,1350,1356,1360,1367,
1368,1370,1372,1374,1376,1380,1386,1388,1389,1390,1392,1396,1398,1399,1400,1404,1410,1416,1417,1422,1428,1434,1440,1446,1448,1452,
1453,1456,1460,1470,1472,1476,1480,1481,1482,1484,1488,1489,1494,1500,1506,1510,1512,1515,1518,1522,1524,1530,1536,1540,1542,1548,
1552,1554,1556,1560,1561,1562,1564,1572,1575,1576,1586,1590,1592,1598,1600,1609,1612,1623,1627,1650,1656,1729,1735,1750,1751,1764,
1797,1812,1821,1823,1835,1845,1863,1879,1890,1920,1936,1947,1957,1960,1974,1985,1987],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,
417,418,420,421,422,423,424,425,426,427,428,429,430,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,450,
451,452,453,454,455,456,457,458,459,460,461,462,464,465,466,467,468,470,471,472,474,475,476,477,478,479,480,482,484,485,486,
487,488,489,490,492,494,495,496,498,500,502,504,505,506,507,508,510,512,514,515,516,517,518,520,522,523,524,525,526,527,528,
530,532,534,535,536,538,539,540,542,543,544,545,546,548,550,551,552,554,555,556,558,560,562,564,565,566,568,570,572,574,575,
576,578,580,581,582,584,585,586,588,590,591,592,594,595,596,598,600,602,604,605,606,608,610,612,614,615,616,618,619,620,622,
624,625,626,628,630,631,632,634,635,636,638,640,642,644,645,646,648,649,650,652,654,655,656,658,660,662,664,665,666,668,670,
672,674,675,676,678,680,682,683,684,685,686,688,690,692,694,695,696,698,700,702,704,705,706,708,710,712,714,715,716,718,720,
722,724,726,727,728,730,732,733,734,735,736,738,740,742,744,745,746,748,750,752,754,755,756,758,760,762,764,765,766,768,769,
770,772,774,776,778,780,781,782,784,785,786,787,788,790,792,794,795,796,797,798,800,804,805,806,808,810,812,814,815,816,820,
822,823,824,826,828,830,832,834,835,836,840,845,846,850,852,854,855,856,858,860,864,865,867,868,870,873,874,875,876,880,882,
884,885,888,890,894,896,897,900,911,915,924,929,936,945,948,955,960,964,969,981,985,990,992,995,996,1004,1008,1012,1019,1028,
1030,1032,1037,1050,1056,1064,1070,1072,1078,1084,1086,1092,1095,1108,1110,1140,1151,1155,1164,1168,1176,1180,1192,1200,1230,1256,
1301,1432,1476,1500,1617,1620,1664,1668,1670,1687,1770,1800,1807,1822,1919,1920,1937],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,354,355,356,
357,358,360,362,363,364,366,368,369,370,371,372,374,375,376,377,378,380,381,382,384,385,386,387,388,390,391,392,393,394,396,
397,398,399,400,402,404,406,407,408,410,411,412,414,415,416,418,420,422,423,424,426,427,428,430,432,434,435,436,438,440,442,
444,446,448,450,452,453,454,456,458,460,461,462,464,466,468,470,471,472,474,476,478,480,482,484,486,488,490,492,494,495,496,
497,498,500,501,502,504,506,508,510,512,514,515,516,518,520,522,524,526,528,530,531,532,534,536,538,540,542,544,546,548,550,
552,554,556,558,560,562,563,564,566,568,570,572,574,576,578,580,581,582,584,586,588,590,592,594,596,598,600,602,603,604,606,
608,610,612,614,615,616,618,620,622,624,626,628,630,632,634,636,638,640,642,644,646,648,650,654,656,657,658,660,666,670,672,
676,677,678,680,682,684,686,688,690,694,696,698,700,702,704,708,714,716,720,724,726,728,732,736,738,740,742,744,747,750,754,
756,759,760,762,764,768,770,774,780,782,784,786,792,798,820,830,840,848,852,854,859,867,868,870,906,908,916,924,980,994,1000,
1002,1020,1024,1047,1048,1057,1060,1065,1071,1084,1136,1145,1162,1195,1200,1269,1289,1376,1660,1679,1696,1699,1907,1985,1988],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,270,272,273,274,275,276,277,278,279,280,282,284,285,286,287,288,289,290,291,292,294,295,296,297,298,
300,302,303,304,305,306,308,310,312,314,316,318,320,321,322,324,326,328,329,330,332,333,334,336,338,340,342,344,345,346,348,
350,352,354,356,358,360,362,364,366,367,368,370,372,374,375,376,378,380,381,382,383,384,385,386,388,389,390,391,392,394,396,
398,400,402,403,404,406,408,410,411,412,414,416,417,418,420,422,424,426,428,429,430,431,432,434,436,437,438,440,442,444,445,
446,448,450,452,454,456,458,460,461,462,464,466,468,470,472,473,474,476,478,480,482,484,486,488,490,492,494,496,498,500],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,170,171,172,173,
174,175,176,177,178,179,180,181,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,210,211,212,213,214,216,218,219,220,222,223,224,225,226,228,230,231,232,233,235,236,237,238,240,242,243,244,246,
248,249,250,252,254,256,257,258,260,262,264,265,266,267,268,270,271,272,274,276,278,279,280,282,283,284,288,290,291,292,293,
294,296,297,298,300,302,303,304,306,307,308,310,312,313,314,315,316,317,318,320,322,324,326,328,330,332,333,334,335,336,340,
341,342,344,346,348,350,352,353,354,356,357,358,360,362,366,368,370,372,374,376,378,380,382,384,386,388,390,392,396,399,400,
402,404,406,408,410,412,413,414,416,420,422,425,426,432,436,437,438,440,443,444,448,450,452,456,462,465,470,474,476,480,483,
498],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,212,214,216,218,219,220,222,223,224,226,227,228,229,230,231,232,234,235,236,
238,240,241,242,244,246,248,250,252,253,254,256,258,260,261,262,264,265,266,268,269,270,272,274,275,276,278,280,282,284,285,
286,287,288,289,290,291,292,294,296,297,298,299,300,301,302,304,305,306,308,309,310,312,314,315,316,317,318,320,322,324,326,
327,328,330,332,334,336,338,340,342,344,345,346,348,350,352,354,355,359,360,362,364,366,370,372,375,376,378,380,384,385,386,
388,390,392,394,396,398,400,402,406,408,410,414,416,419,420,437,438,440,455,456,457,462,468,470,476,480,484,492,499],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,204,206,207,208,210,212,213,214,216,217,218,219,220,222,224,225,226,227,228,229,230,231,232,233,234,236,238,240,241,
242,244,245,246,247,248,249,250,252,253,254,255,256,258,259,260,262,263,264,266,267,268,270,272,274,276,278,280,282,284,286,
287,288,289,290,291,292,294,295,296,298,300,302,304,306,308,310,311,312,314,316,318,320,322,324,326,328,330,332,334,336,337,
338,340,342,344,345,346,347,348,350,352,354,356,358,360,362,364,366,367,370,372,376,378,383,384,387,388,389,390,392,395,396,
398,402,411,414,420,426,434,435,436,441,444,455,462,468,472,480,488,498],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,176,177,178,179,180,181,182,183,184,185,186,187,188,190,192,194,195,196,198,200,202,203,
204,206,207,208,209,210,212,214,215,216,218,219,220,222,224,226,228,230,231,232,234,236,237,238,240,242,244,245,246,248,249,
250,252,254,256,258,260,262,263,264,266,268,270,272,274,275,276,278,280,282,284,286,288,290,292,294,296,298,300,302,304,306,
308,310,312,316,318,320,324,326,328,330,334,336,338,340,342,343,344,346,348,352,354,358,360,362,364,365,366,368,370,372,380,
384,390,391,392,396,406,408,418,420,423,432,439,444,460,467,492,500],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,174,175,176,178,179,180,181,182,183,184,186,188,189,190,191,192,194,195,196,198,200,202,204,205,
206,208,210,212,214,216,217,218,220,222,224,225,226,228,229,230,232,234,235,236,238,240,242,244,245,246,248,250,252,254,256,
258,260,262,264,266,268,270,272,274,276,280,282,284,286,288,294,296,300,306,308,312,316,318,320,322,324,328,330,332,334,336,
338,340,342,348,357,360,364,366,371,372,384,388,390,392,396,404,409,419,420,434,456,480,488,492],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,174,176,177,178,179,180,181,182,184,187,188,190,192,194,195,196,198,199,200,201,202,204,206,208,209,
210,211,212,214,216,218,219,220,222,223,224,226,228,230,231,232,234,236,237,238,240,242,244,246,248,249,250,252,254,256,258,
260,262,264,266,268,270,271,272,273,274,275,276,278,280,282,283,284,285,286,288,290,292,294,296,298,300,302,304,306,308,312,
315,320,322,324,326,330,334,336,338,340,360,372,376,383,390,396,400,402,403,404,405,408,412,420,433,438,448,473,480,496],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,164,165,166,167,168,170,172,173,174,176,
178,179,180,181,182,184,186,188,190,192,194,195,196,198,200,202,203,204,206,207,208,210,212,214,216,217,218,220,222,224,226,
228,230,232,234,236,238,239,240,242,244,246,248,249,250,251,252,254,256,258,260,264,266,267,268,270,272,274,276,278,280,282,
286,288,292,294,298,300,302,306,308,309,312,314,318,320,324,330,336,346,356,358,360,362,371,372,380,384,388,390,396,400,408,
414,420,424,440,448,463,480],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,162,
164,165,166,168,170,172,174,176,178,180,181,182,184,186,187,188,190,192,194,195,196,198,200,201,202,204,206,208,210,212,214,
216,218,220,222,224,226,228,230,231,232,234,236,237,238,240,242,243,244,246,248,249,250,252,254,255,256,258,260,262,264,265,
266,268,269,270,272,273,274,276,278,280,282,284,286,288,294,295,296,300,306,308,310,312,316,330,336,339,360,364,368,374,380,
390,397,400,402,409,413,420,440,456,462,468,480,498],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,134,135,136,138,140,141,142,144,145,146,147,148,149,150,152,153,154,156,157,158,159,160,161,162,
163,164,165,166,167,168,170,171,173,174,175,176,178,179,180,181,182,184,185,186,188,189,190,192,194,195,196,198,200,202,204,
206,208,210,212,214,216,218,219,220,222,224,226,228,230,232,234,236,238,240,242,244,246,248,250,252,254,256,260,262,264,268,
270,276,280,282,284,288,290,291,294,298,300,303,304,306,311,312,316,322,326,330,336,340,352,360,364,388,390,392,395,400,420,
432,440,457],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,152,153,154,156,158,159,160,162,163,164,165,166,168,170,
172,174,176,177,178,180,181,182,184,185,186,188,189,190,192,193,194,195,196,198,200,202,204,206,207,208,209,210,211,212,214,
216,218,220,222,224,226,228,230,232,234,236,238,240,242,244,246,250,252,254,256,258,260,264,266,268,270,271,272,274,276,277,
280,281,282,285,288,289,290,292,294,298,300,303,304,306,312,320,324,328,330,336,343,348,352,354,355,357,360,376,386,387,390,
420,421,424,448,456,475,477,492],,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,146,147,148,150,151,152,153,154,155,156,158,160,162,163,164,
165,166,168,170,171,172,174,176,178,180,182,183,184,185,186,188,189,190,192,194,195,196,198,199,200,201,202,204,206,208,210,
212,214,216,218,220,222,223,224,226,227,228,229,230,234,236,238,240,242,246,248,250,252,254,258,260,264,266,268,270,272,274,
275,276,280,282,288,294,296,300,302,306,312,321,324,328,330,332,336,344,348,351,356,360,369,376,390,400,402,420,432,455,456,
480,500],,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,146,147,148,150,151,152,153,154,155,156,158,160,162,164,165,166,167,168,170,171,
172,174,175,176,177,178,180,182,184,186,187,188,189,190,192,193,194,195,196,198,200,201,202,204,206,208,210,212,214,216,218,
219,220,222,224,226,228,230,232,234,236,238,240,241,242,244,246,248,250,252,256,258,260,263,264,270,276,278,280,282,284,286,
288,294,300,306,310,311,312,316,320,329,330,334,336,340,360,372,378,390,408,411,416,420,429,444,459,464,479,480],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,144,146,147,148,150,152,153,154,155,156,157,158,160,162,164,165,166,168,170,172,174,175,176,178,179,180,
182,184,185,186,188,190,192,194,195,196,198,199,200,202,204,205,206,207,208,210,212,214,216,218,220,221,222,224,226,228,229,
230,232,234,236,238,239,240,243,244,245,246,248,250,252,254,256,258,260,263,264,266,269,270,272,274,276,280,282,284,288,294,
300,304,306,308,312,314,315,323,330,336,360,373,380,385,389,390,396,399,401,408,414,416,419,425,472,476,478,490],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,128,129,130,131,132,133,134,135,136,138,139,
140,141,142,144,146,147,148,150,152,153,154,156,158,160,162,164,165,166,168,170,172,173,174,175,176,178,180,182,184,186,188,
190,191,192,194,195,196,198,200,202,204,206,208,210,212,214,216,218,220,222,224,226,228,230,232,234,238,240,244,245,246,248,
250,252,256,258,260,261,264,266,269,270,272,276,280,282,288,294,299,300,306,312,330,336,339,360,364,367,384,385,390,392,393,
396,417,420,424,455,469],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,138,140,141,142,144,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,164,165,166,168,
170,172,174,175,176,177,178,180,182,184,186,188,189,190,192,194,195,196,198,200,202,204,206,207,208,210,212,213,214,216,218,
220,221,222,224,226,228,230,234,235,236,237,238,239,240,242,246,248,250,252,255,256,258,259,260,264,266,268,269,270,272,276,
280,282,288,294,300,302,306,312,318,330,336,345,349,351,352,354,356,360,364,372,381,390,404,414,420,431,480],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,128,129,130,131,132,133,134,135,136,138,
140,141,142,143,144,146,147,148,150,152,153,154,156,158,160,162,164,165,166,168,169,170,172,174,175,176,178,180,182,183,184,
186,188,190,192,194,195,196,198,200,202,204,206,207,208,210,212,214,216,218,220,222,224,226,228,230,232,234,236,238,240,242,
246,247,248,250,252,256,258,260,261,264,270,276,280,282,286,288,294,300,306,308,312,320,330,332,336,337,345,355,356,360,363,
372,385,390,420,433,444,463,468,479,480,487,495],,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,114,115,116,117,118,119,120,121,122,123,124,125,
126,128,129,130,131,132,134,135,136,138,140,141,142,143,144,146,147,148,149,150,152,153,154,156,159,160,162,164,165,166,168,
170,171,172,174,176,177,178,180,181,182,184,185,186,188,190,192,194,195,196,198,200,202,204,205,206,208,210,211,212,214,216,
220,222,224,228,230,231,234,237,238,240,242,246,252,256,258,260,262,264,268,270,276,279,280,282,288,294,300,306,312,313,318,
320,330,331,336,344,356,360,376,384,388,497],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,122,123,124,125,126,127,
128,129,130,131,132,134,135,136,138,140,141,142,144,145,146,147,148,149,150,152,153,154,156,157,158,160,162,163,164,165,166,
168,170,172,174,176,178,180,182,184,186,187,188,190,192,194,195,196,198,199,200,201,202,204,206,208,209,210,214,216,218,220,
222,224,226,228,230,232,234,236,238,240,241,246,248,250,252,255,258,260,262,264,269,270,276,282,288,294,300,306,312,315,330,
332,336,345,348,352,357,360,368,380,384,390,398,420,428,431,460,480,495],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,140,141,142,144,146,147,148,149,150,152,153,154,155,156,157,158,160,162,164,165,166,168,170,171,172,174,175,
176,177,178,180,182,184,186,187,188,190,191,192,194,195,196,197,198,200,202,204,205,208,210,212,216,218,220,222,224,225,228,
230,232,234,238,240,245,246,247,248,250,252,254,256,257,258,260,264,266,269,270,274,276,282,285,288,294,300,306,312,314,315,
323,330,331,336,342,344,345,357,360,364,376,384,392,407,413,431,476],,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,138,139,140,141,142,144,146,147,148,150,152,153,154,156,158,160,162,163,164,165,166,168,169,170,172,174,176,
177,178,180,182,184,185,186,187,188,190,191,192,194,196,197,198,200,202,204,208,210,212,214,216,218,220,222,224,226,228,230,
232,234,236,240,242,244,246,248,250,252,254,258,260,264,268,270,273,276,280,282,288,294,300,304,306,330,332,336,340,348,352,
360,364,374,380,392,394,396,420,460],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100],
,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100],
,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,96,97,98,99,100],,,,,
,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,,,,
,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,98,99,100],
,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,
,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100],,
,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,,,,
,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,,,,,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,96,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,92,93,94,95,96,97,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100],
,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,80,81,82,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,
,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,
75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,92,93,94,95,96,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,90,91,92,93,94,96,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100],,
,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,
70,71,72,74,75,76,77,78,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,96,97,98,99,100],,
,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100],,,,,,,,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,
,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,,,,,,,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,
76,77,78,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100],,,,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,92,93,94,95,96,97,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,74,75,76,77,
78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100],,
,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],,,,,
,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,74,75,76,78,80,81,82,84,85,86,87,88,90,92,93,94,96,98,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,68,69,70,71,72,73,74,75,76,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,96,98,99,100],,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100],
,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,
77,78,80,81,82,84,86,87,88,89,90,91,92,93,94,96,98,99,100],,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100],
,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,
75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,98,99,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,92,93,94,95,96,97,98,100],,,,,,,,
,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,78,80,81,82,84,85,86,87,88,90,92,93,94,95,96,98,100],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,96,98,99,100],,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,90,91,92,93,94,96,97,98,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,98,100],,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96,97,98,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,98,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,90,91,92,93,94,95,96,98,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,98,100],,,,,
,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,
76,77,78,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,98,99,100],,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,96,98,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,96,97,98,100],,
,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100],,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,72,74,75,76,77,78,80,81,82,84,85,86,87,88,89,90,91,92,93,94,96,98,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,74,75,76,77,78,80,82,84,85,86,87,88,90,91,92,93,94,95,96,98,99,100],,,,,,,,,,,
,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,74,75,76,77,
78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,98,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,74,75,76,78,80,81,82,83,84,85,86,87,88,90,91,92,94,95,96,97,98,99,100],,,,,,,,,,,,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,
65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,98,99,100],,,,,
,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,98,100],,,,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,94,95,96,98,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,92,93,94,96,98,99,100],,,,,
,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,
78,79,80,81,82,84,86,87,88,89,90,91,92,94,95,96,97,98,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,90,91,92,94,95,96,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,90,91,92,94,96,98,100],,,,,,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,90,92,94,96,98,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,
66,68,69,70,72,74,75,76,78,80,81,82,83,84,86,87,88,89,90,91,92,94,95,96,98,99,100],,,,,,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,
66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,86,87,88,89,90,91,92,93,94,96,98,100],,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
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