TopCoder Statistics - Problem Statement

Problem Statement

Fox Ciel likes shuffling cards. She uses a deck with 2N cards, numbered 1 through 2N. Initially, this deck is sorted: the cards are in the order 1,2,3,...,2N from top to bottom.
Ciel always uses the same procedure when shuffling. One round of shuffling looks as follows:

She splits the deck into two piles: the top N cards will be pile A, the bottom N cards pile B.
She takes pile A and rearranges the cards it contains arbitrarily.
She takes pile B and rearranges the cards it contains arbitrarily.
She interleaves the cards from the two piles, producing a single deck again. More precisely, if pile A has cards A1,A2,...,AN and pile B has cards B1,B2,...,BN then the new deck will be A1,B1,A2,B2,...,AN,BN. (Note that the first card must be from pile A.)

For example, let N=2 and suppose that Ciel starts with the sorted deck 1,2,3,4. After the first round of shuffling, she can produce one of the following four decks:

1,3,2,4
1,4,2,3
2,3,1,4
2,4,1,3

You are given a int[] permutation which contains a permutation of the 2N cards. Ciel wants to produce this permutation of her deck. Compute and return the smallest number of rounds of shuffling she has to perform. (When rearranging a pile during the shuffling, she can always pick the best possible order of those cards.) If Ciel cannot reach the given permutation by shuffling, return -1 instead.

Definition

Class:: ShufflingCardsDiv1
Method:: shuffle
Parameters:: int[]
Returns:: int
Method signature:: int shuffle(int[] permutation)
(be sure your method is public)

Constraints

permutation will contain between 4 and 2000 elements, inclusive.
The number of elements in permutation will be even.
The elements of permutation will form a permutation of the numbers 1 through 2N, where 2N is the number of elements in permutation.

Examples

{1,2,3,4}

Returns: 0

There's no need to shuffle the deck at all.
{1,4,3,2}

Returns: 2

One optimal solution: In the first round, pile A will be 1,2 and pile B will be 3,4. She then merges them to produce the deck 1,3,2,4. In the second round, pile A will be 1,3 and pile B will be 2,4. She rearranges pile B to 4,2 and then merges the two piles to produce the desired deck 1,4,3,2.
{6,3,5,2,4,1}

Returns: 4
{8,5,4,9,1,7,6,10,3,2}

Returns: 2
{1,2,5,3,7,4,8,10,6,9}

Returns: 3
{4,19,57,41,36,30,27,47,18,24,66,16,34,69,83,23,20,55,50,1,33,15,31,21,5,8,37,81,80,49,32,48,52,54,68,59,26,17,70,42,71,35,22,25,28,72,84,51,12,73,64,6,40,45,44,61,85,78,86,62,58,79,67,39,7,9,53,3,77,74,75,43,46,13,76,38,14,82,56,65,29,10,63,11,2,60}

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

Returns: 3
{21,18,10,218,85,246,22,154,81,78,55,174,74,54,61,62,192,207,115,256,323,40,107,2,225,175,69,35,118,314,42,160,146,265,129,59,169,273,120,213,166,231,274,124,57,144,311,275,31,132,316,99,110,257,33,133,73,287,212,244,329,327,71,178,307,286,80,254,29,249,219,221,216,201,116,305,145,95,215,11,277,161,24,9,250,242,34,151,248,162,195,19,26,87,68,184,140,130,17,200,298,32,177,28,100,199,1,300,127,294,198,237,105,75,283,104,13,30,14,313,12,208,108,245,45,261,149,49,228,267,299,290,185,239,295,241,293,121,252,165,235,25,72,137,153,204,89,232,37,106,263,279,7,158,52,109,253,60,157,150,135,205,318,48,3,276,112,326,16,91,63,65,264,141,171,189,278,312,39,6,202,320,97,310,88,203,101,289,44,96,51,284,58,269,211,186,247,188,187,222,282,227,131,271,176,134,194,76,53,163,180,82,156,233,123,23,297,122,191,70,159,206,292,164,77,234,190,86,15,84,139,236,155,229,152,197,260,214,240,238,94,268,262,136,142,281,272,230,220,90,304,67,46,8,119,301,103,291,5,266,43,324,168,196,172,321,4,167,183,224,210,20,113,270,170,182,325,280,83,309,93,209,226,98,111,147,255,117,308,217,303,79,243,223,92,285,148,179,38,102,258,56,143,319,138,66,296,173,193,47,128,41,27,317,181,125,126,328,36,50,315,288,322,330,114,306,251,259,302,64}

Returns: 3
{1127,792,568,1045,778,938,1115,1006,807,765,1125,517,1002,753,622,964,781,166,401,303,1100,267,1008,1040,385,907,141,281,286,561,854,674,87,578,604,977,817,810,650,431,599,626,552,841,707,179,468,390,942,774,689,1097,81,588,289,772,194,970,136,610,745,962,483,193,1117,876,939,717,776,108,5,279,1024,264,440,786,93,669,502,86,32,27,957,80,68,2,825,445,926,620,532,272,297,815,611,439,205,107,299,1036,88,943,225,1063,1140,21,444,333,1030,569,39,1,407,878,20,481,482,383,422,853,961,721,110,1138,99,738,475,959,121,74,544,571,127,283,75,462,1093,113,788,652,1135,995,237,472,991,119,785,651,948,842,48,1012,34,677,812,1087,402,151,545,363,169,280,726,1114,840,137,114,1098,752,715,613,202,1047,535,115,78,340,41,388,625,830,710,1019,556,515,863,1048,456,671,542,1120,238,96,311,685,122,796,1101,398,871,158,90,498,488,325,595,368,353,58,199,755,658,343,1116,986,1118,833,241,1075,211,310,97,827,235,300,864,732,124,784,758,125,587,308,720,72,1103,26,575,419,668,373,432,866,679,434,699,602,974,615,394,848,67,597,496,317,1092,645,200,148,447,266,662,209,1004,285,656,644,240,1020,395,182,421,371,925,697,903,265,731,750,17,859,1058,734,312,1052,850,6,84,573,978,681,757,500,701,1001,253,258,117,775,884,216,582,448,633,288,1042,291,159,313,287,323,787,348,960,347,860,324,746,983,346,526,221,899,130,911,661,344,694,768,82,251,263,362,647,547,713,1077,172,144,24,659,769,358,56,557,794,1031,536,851,157,341,937,467,318,314,397,638,531,65,64,47,920,529,220,581,178,762,336,820,657,898,10,370,176,670,1018,53,917,94,534,879,666,933,523,15,521,555,418,1051,900,355,965,485,823,660,165,244,486,809,601,320,585,923,890,1119,1000,1038,629,1013,160,131,893,857,1134,155,378,450,161,722,213,3,183,120,766,1059,641,184,586,79,217,386,243,408,25,396,307,365,511,1021,415,1028,795,301,546,874,329,153,501,292,487,191,256,185,356,549,608,1137,406,667,433,982,628,4,799,477,9,1083,1046,278,617,672,273,357,441,429,619,972,897,33,139,118,473,484,1090,1123,173,150,417,835,867,164,635,30,993,1109,958,764,254,634,576,1039,773,849,331,584,464,819,522,361,1079,1057,359,1143,322,45,345,1065,680,559,29,614,128,54,868,767,446,143,940,905,412,877,742,247,560,1146,425,1062,1102,491,327,728,152,541,754,227,293,13,954,328,603,1108,944,59,665,52,1144,306,85,865,654,594,525,749,896,38,405,156,797,637,31,409,872,466,914,760,506,693,862,971,1032,505,691,566,46,514,1068,821,908,187,955,567,980,527,990,744,298,1034,414,282,260,856,664,706,763,1014,998,352,391,743,704,192,471,741,801,882,524,1122,725,284,428,540,315,474,643,163,1086,449,455,51,133,583,180,832,40,1085,106,790,57,204,782,941,591,580,870,76,947,554,437,756,259,229,1139,469,953,389,596,233,105,1136,175,824,698,771,648,1029,912,808,935,504,528,565,231,1009,733,1055,708,302,598,162,904,751,590,98,1050,703,140,735,736,257,490,454,727,189,16,23,1003,779,640,922,558,147,188,83,539,630,1037,129,740,695,410,304,168,274,969,1044,829,339,171,901,351,632,956,676,174,623,949,245,411,377,1089,305,316,888,642,203,858,1099,966,342,436,513,1049,443,936,145,1023,275,197,1129,219,427,61,442,104,690,335,495,222,210,261,424,330,839,393,89,1073,1084,367,249,262,62,416,909,607,988,478,883,1015,71,889,519,711,987,374,627,319,112,887,963,605,109,1107,198,457,206,992,269,218,919,1072,682,37,271,35,847,66,1064,250,11,709,918,476,1110,177,142,382,593,570,684,465,509,761,379,507,309,928,994,803,802,548,639,92,77,844,837,609,49,951,592,1106,910,360,12,783,134,489,800,236,518,979,1080,248,413,470,116,246,770,497,1007,716,102,228,36,921,459,403,553,1016,1041,44,906,621,181,242,533,724,989,551,885,688,985,290,493,976,380,589,952,702,126,426,838,934,975,1105,420,805,438,616,1113,930,730,1104,381,399,1056,499,1112,69,1060,855,663,294,1078,14,1070,452,1076,1017,631,516,70,729,334,460,123,232,1081,1053,777,1061,1088,338,73,798,723,700,813,712,208,154,861,564,1145,461,880,215,718,214,387,891,186,915,384,22,737,1131,50,167,132,687,494,655,19,577,91,759,295,508,973,818,945,226,1141,101,510,60,1121,600,828,793,624,201,1133,296,170,146,881,196,230,924,913,458,1027,1094,950,748,337,503,574,28,270,400,845,811,892,480,212,873,479,55,562,423,719,1130,1069,42,1025,538,537,1066,981,705,929,612,1011,683,673,678,791,563,696,7,369,1095,618,1074,836,1096,814,1033,277,1126,1124,804,326,550,223,739,135,138,63,463,239,816,846,1091,543,1132,1111,984,852,190,886,349,1128,997,453,636,826,332,404,806,843,649,43,996,392,1142,492,714,207,675,100,18,1035,834,234,967,831,375,276,606,149,8,1010,932,916,195,1005,968,902,822,512,692,1067,366,103,376,1043,895,1054,1026,111,224,894,321,520,268,451,354,789,946,1071,869,435,747,372,927,653,931,646,780,95,350,686,579,364,572,255,530,1022,999,875,252,1082,430}

Returns: 3
{29,326,541,828,583,638,44,666,701,425,873,52,729,647,143,693,551,917,768,674,287,872,160,532,333,958,207,924,510,20,518,175,656,89,607,820,643,670,244,767,528,839,433,234,178,395,634,105,552,893,32,455,491,331,706,236,653,233,476,962,223,65,192,96,810,378,668,927,569,533,564,590,258,383,309,953,2,809,539,934,399,27,566,632,844,822,835,631,883,450,948,468,575,937,855,722,542,346,651,723,652,144,437,228,601,432,479,423,773,602,500,866,829,194,718,662,458,92,796,578,129,928,109,73,598,521,115,534,644,133,241,370,308,434,70,466,252,792,392,106,104,944,712,322,805,609,193,23,139,574,300,213,730,504,960,480,77,689,203,526,757,149,210,508,319,239,246,238,895,305,296,833,936,973,593,515,376,58,369,817,489,315,352,947,600,111,570,197,245,134,59,907,733,200,789,99,851,752,182,61,554,681,686,428,848,645,487,633,205,51,382,313,967,854,669,770,414,830,869,543,870,5,167,700,186,849,311,325,794,232,834,30,401,380,339,974,165,36,573,864,274,946,922,863,841,388,832,259,580,279,969,163,684,177,267,881,495,290,692,950,439,373,276,461,250,887,613,361,442,444,377,660,942,505,389,594,846,921,803,610,151,658,892,621,620,954,435,266,253,797,351,758,387,665,661,272,107,31,906,152,496,148,4,1,484,530,212,9,280,184,777,49,398,366,38,519,667,529,816,329,977,340,749,535,546,815,146,249,69,209,720,899,363,975,886,447,199,452,47,615,787,393,923,763,316,332,406,677,201,931,66,825,694,867,222,918,799,978,622,120,336,368,843,147,341,904,255,113,22,861,263,877,349,469,831,736,413,868,472,483,404,746,358,882,74,926,465,699,295,563,874,119,623,171,691,214,567,28,972,762,60,137,84,711,650,198,589,550,40,283,888,540,431,725,157,576,481,627,493,753,894,657,142,640,827,663,672,110,719,520,226,323,342,82,304,898,675,235,501,646,951,943,204,745,516,367,217,231,242,72,705,318,43,525,703,127,957,112,963,440,248,498,379,303,426,140,490,548,571,13,635,878,247,174,132,268,154,312,710,436,183,131,35,57,755,698,353,16,7,301,553,945,823,641,754,932,780,735,195,374,55,971,683,606,270,345,592,702,162,818,286,856,680,307,390,845,85,649,229,509,108,784,771,449,858,185,130,728,67,415,747,952,687,499,396,514,145,402,597,586,350,778,523,56,400,908,83,355,243,965,424,98,443,264,153,19,257,909,71,79,608,330,422,417,930,966,357,391,101,470,737,744,742,731,170,15,925,180,179,100,507,685,913,766,448,34,381,709,884,772,896,673,562,582,664,612,788,852,595,879,857,3,798,419,306,774,225,317,302,889,471,679,488,695,62,460,707,344,911,335,126,12,568,738,935,785,138,6,779,397,726,411,81,91,299,294,289,271,403,642,150,125,821,807,94,477,790,169,581,502,678,572,506,940,277,891,727,95,783,76,716,338,636,90,659,743,348,696,938,164,420,776,618,537,704,237,522,80,10,545,37,860,467,717,473,464,438,614,604,791,116,769,626,910,826,288,740,556,327,386,761,219,949,976,616,181,811,579,128,587,760,158,155,166,929,54,68,453,427,517,281,88,463,897,840,297,555,715,512,941,588,18,33,224,859,220,478,278,26,819,629,585,206,560,885,637,292,708,462,39,227,75,310,405,808,93,682,359,713,617,786,356,933,50,11,211,750,365,136,261,372,441,407,117,801,853,121,314,176,172,347,429,343,782,964,103,45,285,850,168,156,549,362,630,813,456,599,215,559,524,24,639,901,497,159,565,916,485,173,364,836,503,544,759,269,262,676,764,46,862,494,394,751,793,961,697,847,739,141,410,284,824,625,421,291,64,591,902,584,890,254,375,654,446,208,260,804,41,251,230,732,42,218,775,416,842,486,812,721,624,561,293,334,756,124,959,611,547,324,161,187,900,418,408,714,196,724,328,814,914,17,956,968,202,905,337,903,628,123,191,385,648,876,765,527,939,459,536,880,741,86,221,216,371,734,577,21,671,360,445,605,14,474,920,430,511,102,354,955,558,188,8,781,802,915,25,837,800,655,748,122,475,838,321,619,97,282,531,384,457,690,538,482,320,795,513,451,875,63,240,919,912,256,190,454,53,409,557,596,806,189,48,492,688,78,275,298,865,265,412,871,135,118,114,87,603,273,970}

Returns: 3
{42,8,120,41,278,215,404,309,157,125,417,52,387,103,435,27,12,63,2,78,444,23,87,287,238,201,334,174,212,356,159,295,250,389,69,107,323,453,123,342,164,150,115,428,124,218,114,35,122,149,205,293,326,198,340,132,398,38,322,3,378,438,336,462,343,385,18,362,231,459,262,171,32,244,272,168,197,58,446,213,96,232,445,379,471,226,308,261,191,301,118,71,303,257,189,40,193,194,104,106,51,457,266,88,319,24,74,9,330,175,82,382,203,117,127,98,110,80,296,415,68,372,390,90,17,254,28,151,240,101,402,286,158,136,447,10,233,368,315,121,371,476,312,252,434,468,45,412,97,77,376,243,450,400,169,166,156,394,470,300,354,112,408,248,271,460,183,426,60,143,423,346,406,388,366,155,138,188,351,64,14,39,181,89,109,282,256,65,7,473,100,111,443,419,344,414,307,207,420,472,350,464,306,247,422,383,228,425,411,211,429,208,430,437,448,410,242,153,297,172,255,129,59,393,407,441,108,405,358,221,234,76,268,246,474,146,147,381,196,142,31,93,436,442,251,236,11,36,91,22,424,367,116,259,267,62,316,439,46,291,321,55,432,44,105,6,421,4,276,13,86,148,469,280,161,285,345,396,152,49,454,324,57,338,467,217,375,167,364,365,85,416,5,359,373,216,274,347,455,15,253,119,94,265,374,66,81,413,187,328,144,182,219,173,48,133,177,154,225,349,185,229,214,284,29,137,478,392,339,386,325,260,83,245,264,1,299,384,465,458,21,332,178,290,313,363,34,288,348,92,102,20,403,277,204,235,249,56,399,160,298,195,61,361,357,179,73,279,165,54,302,310,353,190,318,227,355,418,19,206,241,391,162,26,451,239,145,75,230,263,341,134,292,95,135,30,186,224,84,352,335,401,258,47,273,337,192,294,270,466,433,99,320,409,184,370,199,128,360,210,269,139,463,333,456,281,222,461,223,369,67,475,37,131,141,452,397,440,377,317,209,395,113,327,50,33,130,220,202,331,275,289,431,72,200,53,311,180,477,16,25,163,427,70,79,176,314,304,237,449,43,380,329,126,170,283,305,140}

Returns: 3
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Returns: 3
{84,46,200,119,141,43,122,158,233,88,98,184,176,142,26,95,216,137,27,194,148,13,209,101,166,16,30,50,120,168,103,227,111,244,199,241,124,61,179,126,256,203,125,202,182,106,254,91,133,94,249,7,243,113,181,161,75,191,196,24,96,207,9,107,150,83,248,87,99,92,230,5,66,78,177,226,197,172,108,90,41,232,85,247,165,234,251,25,154,258,57,245,153,223,48,231,169,93,140,143,40,259,253,71,53,236,73,102,34,55,128,170,210,3,186,174,189,183,134,213,14,28,201,240,127,36,104,147,68,171,266,81,187,262,1,12,238,151,109,212,218,188,6,115,130,70,42,47,164,159,255,56,37,89,221,82,139,32,29,44,10,54,219,33,131,65,220,22,263,21,261,178,39,100,105,265,4,167,264,204,155,205,257,23,72,135,208,117,20,86,162,144,173,59,180,129,2,224,235,11,19,163,222,260,138,157,38,60,49,160,15,229,17,237,31,45,214,8,156,146,250,215,112,114,35,192,79,175,195,132,97,206,63,149,121,116,58,64,110,145,118,252,152,51,136,52,76,198,123,190,185,193,18,77,228,239,225,67,74,69,246,62,80,217,242,211}

Returns: 3
{558,756,293,626,698,219,674,650,496,266,728,570,168,106,577,969,71,227,770,309,519,766,526,351,725,759,301,270,114,323,606,660,101,477,113,414,333,795,89,988,443,537,755,388,134,512,352,746,86,449,204,901,810,271,948,451,962,501,803,314,713,958,886,919,822,225,460,998,635,696,444,718,933,654,592,47,297,78,440,793,230,482,317,184,281,772,265,139,760,483,997,864,124,951,682,688,858,961,442,119,622,733,256,964,355,428,405,23,157,648,956,792,26,540,65,529,678,907,302,955,527,883,683,200,126,931,196,470,717,313,6,259,721,18,806,513,735,366,413,686,794,813,288,607,190,452,995,758,294,82,305,324,720,224,636,109,371,655,585,977,439,73,129,774,523,80,744,624,843,597,922,356,389,846,251,499,312,218,329,915,12,358,127,91,935,659,671,52,299,578,308,344,668,637,575,435,162,662,872,336,330,702,853,627,503,48,446,412,20,525,727,240,747,856,579,865,367,498,902,722,507,291,376,191,257,971,536,61,983,757,158,105,844,1003,286,326,67,817,968,35,830,532,875,567,231,719,769,229,132,505,117,791,197,247,621,986,273,289,170,462,821,497,574,207,506,83,258,16,764,691,934,295,311,711,589,1001,186,282,369,96,120,380,396,274,55,783,611,433,223,514,2,465,782,669,790,387,179,950,555,102,425,490,824,966,926,267,533,175,628,520,861,484,502,348,406,418,166,392,550,76,976,455,982,29,676,226,818,917,504,359,511,360,296,894,910,148,9,984,670,85,845,287,28,789,456,159,357,943,930,832,140,777,372,823,169,785,985,748,542,185,742,411,690,487,54,596,556,569,43,918,771,811,885,436,835,840,362,684,164,912,466,524,863,5,762,712,19,694,553,279,565,390,137,402,284,211,318,657,640,784,975,95,944,788,374,135,666,407,908,715,929,914,521,205,545,900,500,778,17,147,609,235,408,897,741,898,879,363,62,819,146,679,664,339,375,486,580,263,234,847,699,709,566,100,398,729,923,221,57,680,518,400,632,991,593,641,209,981,34,896,430,906,353,364,341,448,31,630,494,59,243,199,724,604,913,438,217,420,590,391,410,260,594,602,754,559,404,546,479,492,638,75,990,836,262,8,952,838,880,118,584,488,343,32,378,183,572,740,386,434,645,965,639,999,123,737,99,403,972,176,925,576,882,873,797,141,10,954,241,464,397,342,298,36,335,481,508,248,245,522,949,325,706,601,379,937,763,338,890,924,143,177,891,447,321,22,816,905,828,734,60,474,753,539,509,24,115,138,801,79,242,467,349,732,704,201,848,646,738,112,581,471,427,775,395,431,254,850,814,851,354,993,368,320,994,787,743,807,877,415,854,94,989,81,595,46,868,1000,752,469,736,304,852,383,921,881,751,145,432,214,276,268,693,264,319,707,480,957,495,370,551,350,322,174,228,122,253,866,4,967,153,453,283,689,331,947,303,457,178,615,731,643,642,939,130,310,181,773,1,974,610,300,154,160,833,70,128,213,563,459,831,68,198,588,468,285,151,705,1004,98,208,192,618,272,110,653,614,394,290,422,859,617,50,561,860,834,867,677,365,932,202,84,340,188,180,552,66,381,25,548,56,916,633,750,450,155,938,382,658,161,761,21,133,361,562,173,150,591,941,334,716,142,463,337,535,53,306,878,730,802,827,510,97,849,246,316,93,189,543,277,909,687,393,936,544,927,605,238,212,701,681,855,781,187,332,74,72,49,547,608,33,723,826,239,745,887,3,557,623,603,583,424,280,163,475,942,42,125,697,121,107,269,895,399,726,193,992,767,644,564,195,871,87,409,647,491,829,799,825,899,710,649,685,152,708,796,44,673,996,250,940,216,144,620,237,837,171,874,307,700,327,233,88,980,429,808,839,959,599,629,210,812,953,149,27,573,911,385,703,485,108,37,869,90,779,315,38,275,41,749,249,416,888,461,804,652,631,616,960,800,634,292,625,739,663,571,384,244,347,587,165,904,136,798,417,172,651,945,473,232,377,104,346,63,619,665,541,13,530,987,111,103,765,560,979,92,538,768,515,236,278,437,963,820,476,77,131,419,675,692,780,531,920,876,884,252,667,423,445,612,857,426,255,421,194,345,862,206,554,220,582,64,215,182,40,672,167,928,222,489,1002,39,695,58,661,613,841,458,586,889,598,600,714,373,116,441,534,493,549,892,51,261,45,69,805,903,786,517,978,946,870,454,156,809,815,11,776,472,30,656,568,842,478,893,14,15,401,970,516,528,973,328,7,203}

Returns: 3
{291,123,316,658,91,43,80,372,600,593,345,94,542,420,577,518,529,172,13,429,225,50,405,325,507,489,4,473,103,538,617,417,107,490,549,634,650,552,178,121,84,328,355,389,636,150,555,524,192,515,215,561,56,576,408,269,584,550,30,230,321,198,274,160,434,54,14,387,554,464,480,168,486,460,482,551,227,421,513,7,10,371,245,213,308,289,366,279,67,533,100,300,144,309,142,284,383,539,237,530,603,299,62,44,647,260,130,443,340,152,373,200,439,40,582,324,547,342,407,419,604,412,265,458,35,273,475,271,79,536,336,651,64,532,398,294,322,236,33,422,131,187,541,353,222,386,471,447,493,381,630,638,287,59,286,519,101,47,516,220,599,154,508,217,109,263,384,594,583,69,188,132,484,18,60,545,457,637,20,6,378,68,95,156,26,639,465,8,48,623,401,90,491,281,297,127,318,661,49,92,73,472,183,189,70,74,642,392,575,112,598,358,572,82,153,403,411,337,537,120,425,147,251,201,193,34,259,649,195,175,139,535,116,469,502,397,339,627,368,351,437,202,573,522,406,487,660,229,393,272,194,124,39,380,303,334,645,206,238,332,607,390,283,210,586,292,615,1,611,190,523,250,581,72,161,562,346,58,106,293,333,61,9,494,323,204,644,255,481,262,285,118,352,98,16,135,302,21,314,338,534,99,452,298,305,640,612,463,29,158,218,102,361,622,585,619,451,540,25,267,143,170,288,327,247,3,459,166,145,385,165,567,199,306,146,511,197,445,211,51,571,159,632,399,137,12,329,659,133,616,87,277,349,544,212,350,402,343,122,129,219,203,249,526,662,266,566,240,191,409,46,270,610,525,357,466,164,169,618,182,275,553,520,654,588,504,296,625,423,258,53,559,244,438,426,499,514,589,96,377,365,282,503,376,501,418,315,449,149,388,356,246,546,93,176,517,363,226,608,348,78,41,104,115,531,216,85,138,633,268,304,648,319,500,587,253,221,483,126,424,71,574,108,141,171,205,38,114,414,313,136,128,208,370,326,613,454,347,543,81,497,63,641,404,568,280,592,359,243,468,563,652,474,510,76,635,476,167,117,256,66,276,311,162,45,485,113,498,184,396,86,430,509,19,196,312,470,179,442,597,653,148,83,609,134,369,207,521,462,362,232,331,174,22,374,57,512,580,163,234,591,24,548,624,241,37,394,440,569,151,492,643,596,335,560,564,27,620,478,140,261,31,506,605,415,320,629,626,254,657,186,223,436,180,427,565,428,65,602,646,301,344,578,239,375,89,557,248,528,456,354,242,360,595,364,97,495,416,295,527,278,181,496,231,77,224,155,432,395,75,257,290,606,379,446,450,621,32,110,228,214,185,631,28,15,173,367,444,317,382,570,111,105,579,23,433,461,479,410,11,5,52,233,307,628,601,467,88,477,119,235,455,177,431,488,505,264,453,209,435,125,590,55,330,400,157,341,448,2,656,42,391,558,556,36,441,17,413,252,310,655,614}

Returns: 3
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Returns: 3
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Returns: 1
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Returns: 1
{179,567,119,485,299,535,146,752,205,698,123,651,349,823,41,786,247,475,400,798,390,542,79,576,245,657,240,477,242,432,151,644,281,769,88,512,9,450,319,809,8,460,236,753,129,745,73,610,152,685,147,517,124,750,368,720,221,588,303,479,10,442,309,614,216,488,411,808,7,523,367,428,248,817,62,725,91,629,60,762,392,500,369,422,382,486,210,819,212,620,56,744,110,759,193,820,320,464,84,483,260,470,82,764,375,815,406,701,157,441,377,502,345,622,99,604,118,458,264,520,101,524,5,573,50,615,158,549,74,444,203,739,58,647,97,478,106,807,77,564,191,551,145,438,304,445,387,765,59,459,257,507,312,579,208,598,353,499,354,522,199,586,20,557,43,684,96,688,115,665,332,803,335,538,321,527,113,616,252,718,330,481,384,484,317,793,220,756,296,525,262,554,126,673,202,758,185,528,265,504,356,590,316,667,133,476,109,779,19,501,401,491,33,634,37,467,57,426,292,627,258,519,295,565,181,733,40,696,336,580,244,824,171,568,107,671,329,795,3,637,1,716,188,709,215,640,197,650,409,746,63,490,386,609,372,774,241,738,187,466,194,510,267,789,34,778,105,465,31,468,224,563,313,642,404,741,120,462,81,730,103,754,223,571,288,536,251,556,69,482,298,766,104,771,311,611,128,506,165,695,49,414,27,742,388,552,249,543,314,448,176,694,381,677,4,413,6,509,66,632,229,605,92,562,134,608,55,689,277,589,155,780,339,451,239,461,337,755,254,633,228,675,211,814,201,788,300,537,238,679,227,649,273,544,234,572,196,669,246,760,102,618,138,643,389,592,340,453,168,787,279,496,131,812,22,802,100,692,378,656,282,641,156,785,204,816,261,583,182,747,278,505,361,648,183,569,342,704,140,594,344,480,137,561,127,724,13,811,45,596,159,804,366,597,11,800,125,683,175,435,301,595,206,430,178,447,207,521,190,775,263,497,130,418,209,639,15,621,371,511,291,797,51,761,70,676,393,700,189,727,285,516,44,693,174,587,166,546,78,645,362,799,357,767,396,526,38,717,21,599,359,822,95,772,222,631,28,636,343,777,230,602,395,452,235,680,36,473,338,581,14,735,305,726,23,570,385,550,86,431,274,690,64,821,122,711,214,606,53,732,318,472,373,541,380,612,192,416,35,714,376,530,26,584,412,574,308,686,348,558,85,492,29,463,243,559,30,801,195,670,112,672,325,702,307,734,144,601,407,545,324,630,184,721,164,697,253,662,347,540,280,660,48,625,76,723,170,429,32,791,333,661,163,534,341,434,80,495,132,446,218,655,276,449,233,663,25,749,346,668,173,728,108,593,121,471,294,575,358,706,383,743,167,813,177,705,270,703,61,427,403,531,364,628,302,585,370,810,47,578,259,498,363,607,161,439,402,456,232,419,186,433,52,617,162,654,98,600,297,768,255,638,410,457,350,751,286,773,148,792,75,646,2,420,322,712,54,529,334,566,24,678,331,805,67,659,293,666,89,794,150,731,399,489,198,729,323,763,226,437,136,494,172,710,310,806,114,708,250,635,17,582,143,784,374,423,352,474,398,514,351,577,328,722,16,782,287,487,87,415,269,503,154,455,256,440,142,421,284,796,12,736,68,533,141,603,93,560,200,707,405,719,94,699,65,591,275,513,391,425,283,757,327,626,213,539,169,553,139,781,272,508,326,737,266,555,355,547,153,424,315,783,268,715,39,687,180,681,117,674,394,518,289,652,237,548,46,653,225,623,71,740,217,713,116,619,408,682,379,613,72,748,83,664,397,493,18,515,290,776,42,532,271,454,365,818,90,770,306,624,231,790,160,691,135,436,219,469,360,658,149,417,111,443}

Returns: 1
{220,439,158,601,227,802,7,573,331,861,224,791,317,730,181,863,337,598,54,639,245,615,426,676,145,480,143,466,385,470,194,614,270,589,372,585,59,441,196,747,29,627,298,638,315,568,283,806,357,613,231,544,27,619,383,681,254,592,210,513,415,700,155,610,178,744,243,574,249,852,201,843,32,693,222,698,375,663,120,605,111,490,25,810,318,634,4,611,324,737,306,660,325,560,195,729,149,749,350,800,242,545,175,497,233,679,198,467,186,707,100,464,42,543,420,558,264,795,89,793,159,835,308,594,200,808,11,790,94,597,16,821,346,809,407,559,326,538,13,481,255,714,83,554,387,561,304,692,382,847,265,743,396,553,313,645,437,569,5,752,219,621,365,667,239,600,154,583,381,519,411,616,218,875,297,824,395,640,82,771,405,461,376,557,332,725,430,540,45,514,278,440,50,648,230,624,391,647,177,650,340,646,351,803,197,780,104,486,422,825,137,820,256,720,336,695,221,636,86,478,369,842,182,548,342,741,358,617,401,870,281,563,413,757,259,511,109,505,321,520,14,555,60,462,190,498,355,851,214,751,247,763,131,445,393,472,172,742,228,704,229,794,163,451,116,724,96,566,429,828,293,474,412,449,22,673,38,773,257,711,287,604,294,826,40,653,280,530,95,523,26,715,191,731,240,726,202,453,113,661,289,788,379,450,183,536,121,864,354,797,345,473,261,671,30,551,236,822,76,669,356,521,404,701,312,766,213,716,180,576,43,853,406,819,93,775,69,603,408,868,114,719,361,518,99,516,150,546,187,533,132,848,68,532,390,655,366,718,328,801,288,652,370,471,153,564,397,807,433,670,392,494,146,504,134,651,223,654,1,665,436,469,171,735,409,658,47,865,49,778,125,687,140,586,368,834,53,547,129,768,64,683,169,575,425,786,377,488,285,876,31,633,399,812,434,649,63,501,250,787,87,664,410,805,307,550,362,811,124,813,126,839,292,485,15,874,272,846,386,659,151,510,106,500,73,779,271,549,176,862,189,691,427,838,157,836,102,581,282,590,432,709,147,512,41,635,421,535,343,629,320,829,24,625,74,662,216,672,78,562,226,643,330,733,416,443,338,552,207,782,2,703,252,626,57,479,152,772,75,680,160,706,327,830,363,522,61,776,56,873,130,525,128,515,205,823,58,857,20,578,3,632,286,754,291,475,353,777,28,556,258,690,277,606,260,769,119,463,367,677,80,447,127,630,275,685,204,872,97,694,33,657,6,796,168,580,55,448,123,524,81,682,51,620,107,487,419,849,428,688,235,871,48,832,115,602,403,728,302,477,148,571,70,618,349,468,234,502,374,753,296,457,311,758,241,572,316,858,166,804,225,789,67,444,135,517,417,740,185,818,295,595,144,721,263,458,208,760,188,628,164,784,335,783,418,686,39,774,37,856,334,770,72,869,398,684,9,708,273,697,161,584,344,570,138,722,65,642,266,678,141,526,322,503,84,799,142,817,17,816,232,855,238,607,62,762,274,792,122,484,206,854,217,596,212,738,165,508,44,588,380,442,300,637,305,493,192,840,108,717,36,827,91,446,378,785,136,736,268,696,199,675,276,841,118,699,303,527,173,748,364,712,23,608,373,844,88,507,267,531,237,727,85,482,12,756,402,612,246,495,34,534,389,689,167,761,211,713,400,454,319,491,323,539,333,623,35,452,310,850,359,750,170,666,8,599,329,764,244,837,10,734,105,798,71,456,299,702,21,499,52,509,394,845,139,705,98,644,46,815,79,506,388,767,112,668,66,541,352,641,284,567,215,537,262,577,209,860,414,732,301,833,174,710,253,476,435,739,269,831,117,609,384,656,162,528,90,866,423,814,347,460,179,867,18,631,339,591,431,542,371,579,438,745,19,622,203,492,77,674,193,529,184,565,92,723,133,859,314,582,251,765,279,759,110,455,341,587,348,489,309,746,103,781,101,755,248,483,424,459,290,593,360,496,156,465}

Returns: 1
{31,507,430,482,270,645,380,549,149,662,383,528,264,750,255,598,341,783,401,547,131,525,297,842,125,656,215,854,36,493,179,545,340,683,302,778,30,438,282,631,306,474,64,576,52,734,324,756,234,795,298,680,221,441,59,612,228,846,115,446,7,764,37,791,181,757,309,850,27,625,316,577,142,672,176,526,167,651,165,643,126,763,160,496,414,641,42,479,305,515,175,856,103,855,34,590,222,454,41,440,236,471,91,710,269,670,180,792,1,745,352,624,112,832,368,765,268,503,350,753,26,511,310,556,361,740,311,840,336,527,90,552,40,824,105,705,410,455,296,841,107,580,130,508,155,669,330,573,343,833,326,712,240,688,185,663,20,537,227,713,429,566,133,859,372,661,62,759,271,541,81,780,14,691,318,793,247,583,148,818,46,614,220,650,138,801,304,720,172,697,265,491,210,472,99,799,259,852,134,849,386,558,241,588,314,635,113,836,357,468,272,564,308,727,158,464,139,716,409,622,201,844,65,678,67,521,347,582,399,660,397,847,98,506,39,476,110,603,45,601,293,444,382,758,331,477,235,628,144,594,243,457,333,520,200,563,159,450,157,760,35,636,79,548,132,658,258,684,273,796,421,690,237,572,48,565,407,543,250,804,313,633,422,700,408,485,281,828,101,461,252,775,371,629,428,494,22,502,346,708,122,809,58,814,205,676,147,542,128,522,29,489,403,698,398,789,390,858,287,673,267,481,359,767,425,752,57,646,54,616,136,702,171,553,93,851,325,834,100,762,230,711,261,718,344,744,19,768,216,480,102,613,360,632,418,490,8,437,362,465,260,458,319,843,32,604,377,536,189,829,120,623,251,696,426,653,6,721,208,453,60,747,63,475,323,523,375,800,71,860,423,484,295,771,339,431,413,682,183,534,288,619,70,751,229,574,334,808,388,581,199,820,233,529,74,644,416,825,218,473,238,695,365,694,280,585,5,813,356,495,188,630,106,460,379,456,389,435,43,826,166,562,338,782,196,722,21,737,427,639,224,665,51,732,225,538,315,568,47,540,212,693,294,501,263,647,284,499,129,498,187,687,301,587,207,788,345,733,276,667,73,728,206,497,154,492,283,432,424,664,86,798,370,621,193,816,203,535,2,742,213,703,244,654,186,559,291,600,97,592,108,451,84,478,303,692,75,671,182,463,66,516,140,519,33,569,194,773,50,550,349,857,10,838,9,459,355,436,111,447,197,611,3,517,337,597,376,586,96,439,87,679,69,606,387,593,317,674,191,532,300,602,38,589,239,648,163,575,342,714,395,785,405,738,367,579,285,779,89,530,137,599,246,707,392,704,219,731,82,469,353,790,61,817,253,610,195,749,119,591,11,445,77,524,358,442,118,709,328,551,184,567,321,466,391,685,174,777,242,449,335,462,404,837,127,555,366,620,290,609,214,544,373,761,204,617,161,640,56,434,25,681,419,827,354,514,78,666,153,830,13,584,374,741,363,805,168,510,49,554,348,803,55,730,16,607,245,743,72,784,116,626,150,504,412,443,44,557,85,509,15,634,104,746,135,637,381,570,369,668,217,561,94,659,351,724,164,807,117,706,420,578,332,815,192,596,262,812,146,781,394,725,123,735,231,571,289,723,152,794,266,531,202,483,76,772,292,467,278,486,121,615,312,595,88,505,393,605,95,823,124,652,156,776,274,770,109,845,329,719,211,513,277,448,83,787,384,518,190,433,169,831,170,853,18,655,257,848,151,657,92,452,143,774,256,822,322,786,378,512,307,539,411,819,4,810,114,748,24,729,23,769,223,500,12,618,17,839,417,675,53,811,286,736,198,627,248,835,320,488,400,677,177,802,162,755,232,806,28,487,249,717,145,715,299,701,254,766,275,689,415,533,279,608,80,546,173,686,327,699,402,726,178,642,226,739,385,754,141,470,396,560,406,638,209,821,364,649,68,797}

Returns: 1
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Returns: 1
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Returns: 1
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Returns: 1
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Returns: 1
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Returns: 1
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Returns: 1
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Returns: 1
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Returns: 2
{467,803,429,718,241,206,421,811,519,483,1116,1149,377,538,615,674,346,133,153,476,343,771,216,646,703,1155,194,839,524,1043,77,642,1109,913,816,510,861,773,834,1028,745,739,41,673,1047,180,85,454,221,182,727,259,425,235,487,746,558,756,563,306,895,827,330,1164,288,859,27,25,35,775,322,1180,381,781,309,521,455,396,758,433,374,1004,222,695,1030,257,345,1013,442,616,1123,731,715,605,864,427,876,177,719,721,796,267,622,110,315,1008,62,234,888,1052,1201,405,88,981,973,105,547,416,326,890,128,212,1130,869,253,254,161,402,1067,677,594,485,1061,394,440,664,179,230,1095,866,38,668,541,357,544,923,1150,215,549,441,897,522,489,471,1014,325,968,335,584,845,956,1122,72,612,226,1205,359,645,1106,481,1096,806,970,899,266,720,525,732,98,848,537,550,999,403,569,232,55,1140,764,683,991,856,64,361,300,1085,165,657,667,1009,1115,292,566,559,843,1031,831,349,1021,1119,1172,867,411,150,576,294,681,529,112,245,511,623,701,400,170,697,723,390,1024,420,577,1093,1174,1156,990,217,924,15,169,1078,1158,131,121,207,624,167,1007,413,883,652,993,1187,1074,187,846,431,747,376,99,754,733,497,162,276,160,737,817,67,293,939,1023,903,1045,264,1046,692,54,579,974,260,749,578,571,397,1059,798,766,1079,598,419,46,1082,589,902,86,1066,1089,159,1182,382,484,143,321,1195,473,724,1171,656,302,863,331,367,347,871,373,122,690,392,457,314,477,654,188,185,878,199,592,63,417,358,493,157,447,248,1018,104,479,1143,370,655,696,708,164,929,1177,575,1199,430,810,670,729,250,14,741,19,1073,1134,201,1111,780,852,58,614,1022,120,734,124,142,794,997,319,96,482,152,976,423,101,626,765,210,449,443,1160,247,682,52,799,134,505,391,279,873,1036,636,833,57,532,271,893,564,475,446,1141,1197,1006,93,22,209,305,189,1083,1193,508,650,1026,530,203,29,1110,1029,470,875,155,542,7,258,500,365,641,750,957,118,966,836,760,492,774,1183,934,581,926,772,229,28,364,933,506,1207,881,2,42,1104,936,633,45,931,49,66,762,270,135,631,1091,851,304,977,994,410,943,583,50,951,204,100,336,965,527,1145,944,242,805,812,838,26,915,802,808,983,329,516,992,375,20,51,488,669,192,921,149,317,1056,70,1196,404,978,726,788,972,31,453,858,303,917,1132,344,286,236,986,468,1135,213,526,1038,24,486,273,151,387,116,327,360,398,384,912,699,495,916,108,501,474,40,3,704,363,256,932,1168,337,352,514,942,59,274,240,60,1181,82,533,401,1108,119,156,768,94,36,595,111,1034,1010,89,707,208,334,231,807,1185,385,787,523,125,777,610,910,1099,379,137,761,665,1154,502,855,265,1142,43,342,820,1012,767,857,826,786,625,1042,752,47,44,87,853,196,661,1076,568,1040,714,705,139,91,227,675,113,283,79,1057,755,952,448,469,478,1162,1011,617,178,797,748,702,220,171,1167,308,634,1152,908,490,930,886,1075,1063,572,644,16,935,651,127,980,1077,769,1173,604,465,539,338,76,925,928,1062,964,140,1139,638,588,451,643,904,310,743,877,684,813,528,33,600,466,1002,985,504,1151,712,963,666,988,1039,629,686,518,919,503,102,386,969,269,369,115,362,424,763,950,426,607,1001,687,887,233,837,784,39,1080,83,801,1176,987,372,223,1127,1125,854,1092,74,918,380,95,298,779,535,198,962,277,556,1200,414,1071,1153,842,658,366,832,601,637,90,1178,34,1086,129,688,18,295,663,126,920,553,513,958,1020,176,546,946,1097,285,1191,597,1114,109,262,438,1050,1120,971,647,676,353,900,735,872,922,1118,307,348,1051,197,709,1027,874,166,659,1136,830,280,462,1000,713,184,399,914,884,792,586,383,790,147,540,1017,181,491,620,117,1179,840,452,751,333,1101,281,809,1206,587,1169,892,562,822,464,635,1189,603,860,158,53,1204,368,393,480,565,10,498,389,1121,218,61,680,75,1144,691,580,795,461,246,961,1190,967,898,778,825,891,21,1194,296,552,1159,574,954,84,172,545,68,1053,901,284,613,460,632,8,444,959,252,570,841,395,995,844,800,693,324,1131,548,237,163,1098,1103,698,422,144,602,1100,996,355,628,725,911,828,896,69,191,660,472,1157,998,585,71,224,776,648,341,437,1015,536,328,1107,154,742,1203,814,596,1094,1117,591,770,311,948,1165,6,512,1,567,190,1198,287,1124,92,907,515,1037,1084,819,534,862,630,653,736,716,785,975,12,73,272,509,339,186,955,289,141,1148,356,434,340,850,123,543,744,9,689,1068,1041,1186,1087,927,219,388,730,299,561,906,560,81,823,1102,507,1065,499,849,323,1129,97,824,378,1055,1192,354,909,412,1133,818,639,193,1208,882,415,989,937,671,445,700,738,1088,463,301,243,791,136,261,1060,815,282,789,710,23,804,722,1070,1161,1049,517,132,432,78,740,984,80,225,332,945,783,297,350,520,11,228,371,557,200,1112,662,202,821,835,318,1064,1019,941,103,847,145,672,291,621,239,1170,456,1105,947,870,1090,551,1058,1147,1032,312,606,829,599,106,706,65,313,757,244,183,711,960,905,1016,320,1128,168,1126,436,759,148,889,195,205,694,608,138,1113,37,255,5,1025,275,1044,496,351,1137,458,173,611,316,408,880,439,406,555,459,554,130,249,1184,728,627,609,174,593,238,48,879,409,885,1054,618,435,949,263,146,938,640,494,290,450,114,868,685,649,1138,251,1035,1146,678,753,32,175,982,30,531,17,1188,1072,214,953,1166,619,894,4,679,940,979,56,590,1033,268,1163,582,1202,717,1048,1081,1003,407,573,278,13,418,865,1175,428,793,1005,211,1069,782,107}

Returns: 2
{703,823,1229,671,1150,1424,265,788,1620,1370,1527,243,950,700,286,1226,1117,1261,408,92,1390,1435,71,222,742,901,1068,723,906,137,1072,812,944,213,569,116,1531,504,938,505,1013,1575,627,1164,1585,1601,510,343,1446,862,864,1128,294,45,1381,140,970,1472,1267,1333,853,390,354,1401,1338,338,1360,915,1572,805,1440,451,900,1396,1137,640,186,1265,824,235,781,1123,50,148,673,1580,914,1034,820,1080,896,708,987,1201,997,316,1278,652,1468,1476,1248,910,1536,1294,1021,1351,1085,993,152,1185,935,388,1187,1466,538,22,1500,859,631,1359,490,46,70,5,1252,1515,437,1042,554,574,1400,573,763,66,578,1378,332,33,500,611,1099,232,658,8,278,455,1549,435,534,429,11,945,182,428,1300,217,524,626,48,236,107,1008,654,1559,727,145,444,1535,465,1065,382,1622,307,694,1502,1227,79,221,581,536,83,319,1230,161,605,1116,28,356,1133,575,1056,1621,1374,314,230,1361,1238,803,1169,1290,55,1232,1039,1458,1461,664,639,1530,3,282,248,366,384,1552,1416,535,977,1292,1266,1459,223,885,553,661,847,1189,1379,629,1346,1501,498,1057,770,531,40,1012,1516,1112,699,42,1513,292,283,962,234,1340,369,210,953,561,1526,1402,417,458,1146,254,668,1260,1486,1325,704,804,1306,768,1243,1120,434,1544,856,1602,903,1048,402,143,907,96,231,1108,1159,1619,816,888,257,780,123,1329,433,363,547,871,1066,81,272,960,676,1204,983,1565,849,474,466,1505,1016,7,878,1584,597,26,537,1451,330,854,1514,889,793,718,771,753,1482,913,1450,646,189,311,350,126,739,37,1136,1603,97,1124,1609,840,1036,1628,1334,999,106,1190,344,963,179,1543,1069,630,678,1043,647,1032,109,921,1551,27,523,295,1122,730,796,304,789,507,1282,926,659,1487,790,1347,967,196,826,206,73,438,484,516,1011,1022,1320,1207,881,1548,1564,394,176,415,29,593,1049,227,1385,643,1356,483,1496,1095,56,482,1083,1545,1577,1322,166,420,93,1508,1005,68,707,383,23,776,190,310,828,82,1434,879,119,164,345,479,836,1365,1417,973,677,1376,212,198,1098,409,968,1445,1353,255,529,956,297,440,562,194,1213,132,157,592,1184,1430,1168,1194,139,389,1079,877,58,518,809,218,421,1255,1428,942,1279,201,155,1524,1007,423,600,375,1375,1223,296,1221,1062,315,250,256,1182,1070,1422,679,309,99,1554,224,121,690,672,1448,512,835,419,1203,947,1251,1349,1397,302,80,817,532,772,1321,1443,60,333,1088,1148,613,861,807,1157,1055,1084,1002,399,499,306,1244,1147,379,514,117,509,1438,1489,1615,1177,736,579,14,591,1623,178,1220,78,114,519,638,1441,1328,1191,1331,285,1218,1275,615,894,1326,1158,1090,1040,1499,1202,102,260,1115,528,984,691,1399,43,1517,1044,869,320,1521,936,10,1276,746,683,660,1469,1316,585,1384,1239,976,105,929,372,706,98,413,1302,214,1054,556,1624,1455,185,54,1503,665,461,341,1006,693,76,1015,365,1336,1540,1263,492,1052,873,825,729,520,1037,1509,720,1467,521,53,443,1046,1579,1541,792,1025,1437,197,424,158,395,813,1206,904,655,280,634,312,491,52,728,870,734,378,940,761,961,12,1051,911,118,1608,930,262,912,288,931,1427,1257,497,1092,1618,939,1106,577,324,1050,1143,406,572,890,1546,362,1473,1119,2,1199,662,571,1563,1309,943,1377,1596,1047,459,1519,858,1411,522,1210,436,619,908,156,317,758,743,1154,791,1073,477,740,1024,462,1539,6,269,1345,374,916,1627,242,1216,293,666,1612,167,1101,1426,89,61,610,1225,883,1234,1149,994,342,1038,1363,416,1291,1089,620,17,1484,346,1000,305,1586,1460,348,1419,546,404,503,794,1256,1474,1492,527,1343,1280,1412,228,1626,331,449,249,590,131,713,1571,69,1156,1556,1212,1155,1570,1297,267,1105,64,549,1569,303,892,1481,1512,899,1087,351,1091,995,18,88,601,511,1235,175,1447,1127,1286,426,313,122,91,1314,696,752,1413,1067,124,1301,628,183,1274,1613,533,1253,1470,632,1553,325,216,954,391,681,1589,125,1591,757,1457,215,1277,863,1141,608,1358,1394,220,653,1592,1001,162,1311,36,1053,1010,568,925,263,445,298,1304,464,180,744,1104,1368,839,321,1285,635,618,386,274,448,738,988,860,1076,51,1262,842,1181,1269,680,172,430,1245,120,1547,850,1228,857,886,1490,599,251,623,1045,1028,1494,830,657,927,924,909,1525,1614,1436,682,1323,1264,1625,401,1268,1281,1342,905,567,233,494,710,108,86,795,773,1355,432,1138,749,1107,101,199,831,801,245,550,688,1497,822,1452,674,1231,966,992,20,711,1094,952,867,1555,716,689,1224,697,1371,616,1249,393,586,1480,837,104,1522,1507,1318,1237,508,513,187,134,1193,75,1019,241,1246,1485,329,1176,1273,974,335,279,957,765,1576,636,670,1298,246,1195,990,396,582,95,598,1332,441,766,1299,732,411,1341,142,72,339,67,779,1082,261,1520,778,1538,866,808,1465,1324,476,1258,456,418,733,188,928,875,1296,1014,1,1222,16,1493,851,103,1219,783,1259,918,806,1475,747,1145,1471,200,184,377,971,1431,1348,1550,1511,1392,1317,38,821,226,453,1506,876,964,1074,980,1287,237,1398,1160,141,472,541,240,897,777,1061,147,748,687,412,978,1200,405,334,1590,39,721,621,177,1030,1330,110,127,1510,607,481,244,1409,558,1605,564,975,959,1140,756,1209,1111,570,934,473,625,1533,1113,284,648,207,129,495,1395,1594,622,63,725,1086,787,587,211,403,769,798,1403,1217,845,1610,352,1288,247,834,641,650,501,941,589,1035,1518,485,19,642,1078,751,1121,1588,1270,735,717,169,360,238,566,539,171,1423,722,1542,1382,1139,1283,855,65,872,786,580,782,1093,649,15,439,349,488,138,1418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Returns: 2
{981,440,1192,1103,905,12,485,571,646,982,621,641,1164,294,877,726,431,995,768,77,881,1058,494,825,191,536,1034,57,1144,1041,748,396,944,791,295,945,638,997,800,950,280,786,1082,442,304,657,667,1123,690,865,1084,456,393,835,116,1146,811,649,832,1138,1021,752,687,1072,452,1083,362,33,69,70,704,1093,185,308,1013,991,465,725,225,136,326,409,148,854,595,207,548,799,846,78,24,500,1090,22,970,434,1113,450,484,707,40,370,739,890,714,83,609,741,67,246,574,162,337,63,1088,1079,659,497,266,1031,545,1066,540,742,209,1133,650,152,400,212,64,193,272,1155,287,310,276,339,814,906,85,1156,28,351,1158,7,62,572,457,281,730,689,444,708,514,143,783,325,875,344,125,32,600,624,377,762,852,803,1149,31,577,755,1174,1075,637,1032,392,30,798,1119,411,60,335,181,801,160,907,531,610,97,145,590,711,1015,277,373,374,236,36,929,887,93,1180,275,933,636,893,876,1069,1007,740,805,112,453,408,5,1099,555,316,1022,257,980,919,985,259,1067,1071,513,476,759,1001,782,413,369,86,261,826,364,1117,1020,430,213,81,510,586,634,615,688,165,729,858,526,660,121,900,480,493,1063,194,1043,102,978,719,1141,170,924,155,18,822,132,490,749,95,1051,171,956,519,715,872,55,296,52,611,512,868,623,1048,1165,101,65,937,94,233,1073,1131,134,1153,1120,1173,446,178,959,853,599,439,243,700,566,1170,1046,58,678,1136,647,336,680,966,1132,501,994,671,169,203,130,186,845,587,859,784,525,327,150,598,1064,718,311,691,794,903,1029,772,761,234,861,934,459,724,421,1116,614,899,873,123,592,627,80,1175,567,1076,19,309,20,756,475,1168,999,1182,1150,533,46,674,491,625,43,1152,10,438,940,217,773,957,830,952,686,473,51,1148,305,695,987,706,763,594,468,56,206,286,543,478,388,766,50,1026,654,156,632,298,834,359,240,840,198,965,635,372,912,147,923,391,988,1190,340,461,27,290,516,1005,744,938,626,1101,616,1145,463,176,511,578,922,537,722,864,204,274,930,387,920,1135,137,406,428,550,896,448,502,488,787,661,1040,122,389,863,911,1191,589,1035,842,91,828,407,509,673,1010,522,564,697,420,1187,250,235,455,226,817,675,423,187,1114,860,1023,458,631,606,771,110,662,21,816,1100,731,769,307,371,979,856,177,779,330,1188,720,812,192,1172,293,487,245,197,159,251,737,378,73,894,158,664,1055,640,601,530,329,1186,1096,258,238,108,961,747,182,743,1057,867,736,353,398,676,958,666,553,166,607,1185,354,447,844,1124,315,910,37,472,563,549,542,679,133,477,892,223,331,113,1044,1139,103,546,698,672,658,338,1087,1024,851,1171,174,701,643,284,282,384,278,760,255,916,633,527,467,561,942,712,508,663,921,34,683,955,904,629,45,451,1183,1081,1106,131,823,1016,928,163,395,443,1134,117,215,1061,1008,682,232,815,289,746,1091,382,306,925,665,895,1028,1176,179,345,109,1070,797,967,792,1159,1053,211,949,1154,464,544,824,539,535,432,780,154,214,969,602,738,1074,499,89,1056,237,1004,26,343,732,291,1011,972,818,775,684,99,153,538,709,175,1042,425,593,394,469,622,1078,383,332,13,248,1142,271,379,1039,419,947,495,1036,618,939,72,1107,871,936,82,557,1002,757,1102,221,303,313,1110,149,668,44,128,496,642,1121,1049,410,656,124,98,575,652,886,114,1112,992,1,1098,915,342,414,297,190,974,322,655,320,256,433,1126,402,1012,168,962,556,1060,96,612,1077,288,866,838,1189,948,127,285,1047,363,267,841,670,422,1097,401,59,617,503,788,104,804,943,926,1019,474,1059,346,685,479,613,283,827,582,605,139,733,355,118,341,644,696,6,1167,796,1137,385,184,301,381,588,1179,581,604,403,927,489,808,1000,821,702,839,603,140,429,573,716,1178,764,107,241,874,228,597,404,723,1115,1130,1017,651,833,528,445,84,100,521,268,299,88,111,219,813,222,14,889,8,292,49,1129,71,195,891,319,703,482,951,1147,506,953,777,879,142,1127,426,138,405,751,66,1006,523,517,498,199,390,880,397,129,547,172,470,964,481,518,524,157,41,931,189,585,820,314,558,208,721,1086,1105,180,884,462,847,1033,35,551,361,976,120,466,350,1122,902,973,1030,2,435,317,1108,1169,1018,750,932,74,767,126,913,914,349,983,1166,960,583,727,146,579,1092,843,167,220,61,1050,119,247,239,1054,471,888,1080,106,375,993,376,1003,1089,554,946,990,507,38,968,745,144,734,898,399,87,302,645,848,427,728,998,1045,264,188,1163,1143,809,882,855,1038,1111,570,54,92,1177,1068,774,717,449,648,205,758,639,161,486,520,1157,386,901,753,596,608,90,29,918,263,515,619,713,1085,532,25,3,776,262,260,1052,312,4,1037,584,357,909,23,269,1161,849,677,254,576,1160,380,115,202,505,562,785,135,630,765,681,789,415,778,770,483,441,273,334,200,318,244,366,424,253,79,1065,1025,996,1118,224,977,492,347,164,48,39,352,360,883,829,328,810,53,1094,11,878,885,47,560,941,591,279,365,754,620,1140,321,831,358,529,793,1104,790,141,417,196,300,504,954,857,908,628,230,802,580,16,416,252,270,418,963,710,781,218,971,201,807,76,324,669,1181,333,1151,412,210,183,850,75,151,231,552,975,173,9,367,693,699,869,653,870,242,984,1009,989,534,806,795,917,68,862,1125,1062,569,323,935,17,227,356,1128,836,559,368,897,1095,216,460,541,42,15,1014,105,568,837,565,819,249,1162,265,1027,986,1184,348,437,735,436,229,705,1109,454,692,694}

Returns: 2
{981,440,1192,1103,905,12,485,571,646,982,621,641,1164,294,877,726,431,995,768,77,881,1058,494,825,191,536,1034,57,1144,1041,748,396,944,791,295,945,638,997,800,950,280,786,1082,442,304,657,667,1123,690,865,1084,456,393,835,116,1146,811,649,832,1138,1021,752,687,1072,452,1083,362,33,69,70,704,1093,185,308,1013,991,465,725,225,136,326,409,148,854,595,207,548,799,846,78,24,500,1090,22,970,434,1113,450,484,707,40,370,739,890,714,83,609,741,67,246,574,162,337,63,1088,1079,659,497,266,1031,545,1066,540,742,209,1133,650,152,400,212,64,193,272,1155,287,310,276,339,814,906,85,1156,28,351,1158,7,62,572,457,281,730,689,444,708,514,143,783,325,875,344,125,32,600,624,377,762,852,803,1149,31,577,755,1174,1075,637,1032,392,30,798,1119,411,60,335,181,801,160,907,531,610,97,145,590,711,1015,277,373,374,236,36,929,887,93,1180,275,933,636,893,876,1069,1007,740,805,112,453,408,5,1099,555,316,1022,257,980,919,985,259,1067,1071,513,476,759,1001,782,413,369,86,261,826,364,1117,1020,430,213,81,510,586,634,615,688,165,729,858,526,660,121,900,480,493,1063,194,1043,102,978,719,1141,170,924,155,18,822,132,490,749,95,1051,171,956,519,715,872,55,296,52,611,512,868,623,1048,1165,101,65,937,94,233,1073,1131,134,1153,1120,1173,446,178,959,853,599,439,243,700,566,1170,1046,58,678,1136,647,336,680,966,1132,501,994,671,169,203,130,186,845,587,859,784,525,327,150,598,1064,718,311,691,794,903,1029,772,761,234,861,934,459,724,421,1116,614,899,873,123,592,627,80,1175,567,1076,19,309,20,756,475,1168,999,1182,1150,533,46,674,491,625,43,1152,10,438,940,217,773,957,830,952,686,473,51,1148,305,695,987,706,763,594,468,56,206,286,543,478,388,766,50,1026,654,156,632,298,834,359,240,840,198,965,635,372,912,147,923,391,988,1190,340,461,27,290,516,1005,744,938,626,1101,616,1145,463,176,511,578,922,537,722,864,204,274,930,387,920,1135,137,406,428,550,896,448,502,488,787,661,1040,122,389,863,911,1191,589,1035,842,91,828,407,509,673,1010,522,564,697,420,1187,250,235,455,226,817,675,423,187,1114,860,1023,458,631,606,771,110,662,21,816,1100,731,769,307,371,979,856,177,779,330,1188,720,812,192,1172,293,487,245,197,159,251,737,378,73,894,158,664,1055,640,601,530,329,1186,1096,258,238,108,961,747,182,743,1057,867,736,353,398,676,958,666,553,166,607,1185,354,447,844,1124,315,910,37,472,563,549,542,679,133,477,892,223,331,113,1044,1139,103,546,698,672,658,338,1087,1024,851,1171,174,701,643,284,282,384,278,760,255,916,633,527,467,561,942,712,508,663,921,34,683,955,904,629,45,451,1183,1081,1106,131,823,1016,928,163,395,443,1134,117,215,1061,1008,682,232,815,289,746,1091,382,306,925,665,895,1028,1176,179,345,109,1070,797,967,792,1159,1053,211,949,1154,464,544,824,539,535,432,780,154,214,969,602,738,1074,499,89,1056,237,1004,26,343,732,291,1011,972,818,775,684,99,153,538,709,175,1042,425,593,394,469,622,1078,383,332,13,248,1142,271,379,1039,419,947,495,1036,618,939,72,1107,871,936,82,557,1002,757,1102,221,303,313,1110,149,668,44,128,496,642,1121,1049,410,656,124,98,575,652,886,114,1112,992,1,1098,915,342,414,297,190,974,322,655,320,256,433,1126,402,1012,168,962,556,1060,96,612,1077,288,866,838,1189,948,127,285,1047,363,267,841,670,422,1097,401,59,617,503,788,104,804,943,926,1019,474,1059,346,685,479,613,283,827,582,605,139,733,355,118,341,644,696,6,1167,796,1137,385,184,301,381,588,1179,581,604,403,927,489,808,1000,821,702,839,603,140,429,573,716,1178,764,107,241,874,228,597,404,723,1115,1130,1017,651,833,528,445,84,100,521,268,299,88,111,219,813,222,14,889,8,292,49,1129,71,195,891,319,703,482,951,1147,506,953,777,879,142,1127,426,138,405,751,66,1006,523,517,498,199,390,880,397,129,547,172,470,964,481,518,524,157,41,931,189,585,820,314,558,208,721,1086,1105,180,884,462,847,1033,35,551,361,976,120,466,350,1122,902,973,1030,2,435,317,1108,1169,1018,750,932,74,767,126,913,914,349,983,1166,960,583,727,146,579,1092,843,167,220,61,1050,119,247,239,1054,471,888,1080,106,375,993,376,1003,1089,554,946,990,507,38,968,745,144,734,898,399,87,302,645,848,427,728,998,1045,264,188,1163,1143,809,882,855,1038,1111,570,54,92,1177,1068,774,717,449,648,205,758,639,161,486,520,1157,386,901,753,596,608,90,29,918,263,515,619,713,1085,532,25,3,776,262,260,1052,312,4,1037,584,357,909,23,269,1161,849,677,254,576,1160,380,115,202,505,562,785,135,630,765,681,789,415,778,770,483,441,273,334,200,318,244,366,424,253,79,1065,1025,996,1118,224,977,492,347,164,48,39,352,360,883,829,328,810,53,1094,11,878,885,47,560,941,591,279,365,754,620,1140,321,831,358,529,793,1104,790,141,417,196,300,504,954,857,908,628,230,802,580,16,416,252,270,418,963,710,781,218,971,201,807,76,324,669,1181,333,1151,412,210,183,850,75,151,231,552,975,173,9,367,693,699,869,653,870,242,984,1009,989,534,806,795,917,68,862,1125,1062,569,323,935,17,227,356,1128,836,559,368,897,1095,216,460,541,42,15,1014,105,568,837,565,819,249,1162,265,1027,986,1184,348,437,735,436,229,705,1109,454,692,694}

Returns: 2
{402,340,237,311,243,66,73,222,500,379,489,421,29,70,281,113,174,32,226,301,105,493,265,93,227,270,400,212,398,72,221,317,490,394,303,388,528,325,98,499,527,13,54,341,457,51,477,86,506,326,333,423,329,345,160,349,91,141,369,11,380,306,324,511,438,131,260,41,368,297,466,173,284,80,137,267,21,209,241,468,232,351,37,390,492,119,43,1,33,85,194,472,525,276,39,337,294,399,415,132,96,239,299,350,432,92,147,366,407,266,133,180,414,385,78,437,26,413,28,428,277,107,121,501,57,225,181,338,362,372,82,261,313,254,257,31,169,401,289,4,475,236,248,69,392,426,143,156,234,287,455,12,84,520,197,214,71,410,478,211,223,282,200,224,448,436,358,186,171,412,285,23,128,405,138,356,391,184,357,328,187,168,331,60,286,205,198,177,176,389,451,461,496,134,206,20,442,110,291,118,283,290,52,476,321,418,191,49,75,45,510,469,481,435,370,484,344,2,115,346,196,124,146,273,316,130,153,148,152,89,207,296,515,433,403,422,204,229,302,55,305,101,203,491,238,440,524,166,483,7,253,409,258,300,312,201,188,154,396,458,122,465,14,441,381,58,342,38,378,486,507,193,347,411,365,192,293,100,427,135,44,219,382,498,359,172,406,114,425,59,295,178,307,523,88,495,231,262,185,404,315,251,360,304,256,30,522,314,167,264,456,157,509,189,479,503,109,8,161,330,81,182,61,505,310,335,480,155,279,210,519,18,449,439,34,497,462,97,19,9,40,452,17,320,517,353,74,162,271,467,482,424,127,339,514,526,149,454,516,249,352,106,367,374,463,364,50,175,16,213,47,450,255,104,242,136,395,488,35,183,288,431,179,274,383,363,195,355,444,48,99,112,247,199,145,508,298,246,64,245,15,373,102,263,68,235,117,470,218,419,63,76,142,332,512,240,518,371,62,24,485,471,90,376,123,5,334,375,447,308,111,151,336,453,140,244,95,67,208,464,87,164,220,343,430,473,25,252,259,384,397,190,129,27,126,22,170,429,521,446,233,116,42,250,139,144,354,318,443,120,504,408,393,65,416,228,6,216,280,445,163,150,3,348,46,202,215,319,494,165,386,322,417,513,269,272,309,278,77,53,125,103,387,36,502,420,323,361,56,83,487,230,459,474,158,268,217,108,292,10,159,79,434,275,377,460,94,327}

Returns: 2
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Returns: 2
{43,20,4,65,83,78,82,47,15,19,59,71,72,40,31,75,33,69,86,32,73,68,16,34,25,11,36,67,56,41,28,79,53,60,51,66,26,39,70,12,38,9,29,14,81,77,21,46,5,8,44,58,10,35,48,23,76,1,3,74,30,52,64,49,84,6,42,63,54,18,55,57,45,62,80,22,13,50,17,2,7,37,61,27,24,85}

Returns: 2
{216,303,394,63,55,483,182,119,379,164,456,320,412,305,451,100,436,471,466,87,88,435,62,444,138,377,192,114,165,365,427,322,68,107,231,334,201,93,310,430,210,49,52,330,428,221,370,244,120,98,257,128,170,453,294,46,6,416,400,296,10,74,5,487,157,129,297,166,136,205,262,209,448,132,275,372,135,325,291,110,33,390,208,281,43,346,326,28,13,358,64,247,38,178,317,367,308,72,349,402,12,126,173,426,432,233,162,399,495,454,482,256,37,302,227,45,198,75,171,484,85,193,137,255,134,61,267,236,431,202,169,146,8,360,172,300,270,18,339,4,144,66,406,287,437,458,315,440,507,329,96,32,369,457,331,9,286,342,434,408,108,50,58,175,51,152,21,154,476,375,259,81,273,258,179,2,31,318,415,207,156,344,419,298,118,385,321,304,268,60,441,442,151,200,328,86,282,368,228,263,39,99,219,24,463,139,362,206,186,289,374,215,104,240,366,361,65,35,382,327,446,464,123,197,19,293,285,199,90,234,420,510,184,409,101,167,80,113,222,29,67,354,115,79,489,188,7,174,23,248,133,237,357,194,161,230,14,261,284,340,290,155,143,506,474,249,504,386,40,73,44,410,404,84,127,11,413,59,405,92,380,378,364,462,272,421,508,190,48,250,56,313,140,488,477,91,343,470,384,106,269,117,392,212,309,486,460,418,185,424,503,30,16,509,449,109,401,492,274,70,311,47,481,187,214,352,153,455,82,316,229,337,223,76,295,494,232,345,105,111,347,183,36,203,371,95,376,307,501,443,102,246,27,204,159,475,145,355,283,3,271,189,323,499,41,278,478,220,383,480,288,438,266,439,71,353,491,502,359,213,217,425,141,97,196,191,252,78,341,121,245,25,177,150,180,103,497,356,433,276,319,398,472,468,241,417,225,393,158,336,397,94,26,292,116,335,485,238,465,324,407,388,54,181,414,265,277,176,264,53,411,496,450,124,1,314,479,473,34,299,253,332,22,387,395,149,168,89,125,396,363,403,239,338,505,373,235,467,459,142,224,279,423,42,461,306,260,147,381,490,469,445,195,218,312,493,452,243,122,280,163,15,77,69,20,500,251,422,254,17,333,160,348,130,131,211,83,301,447,226,112,57,389,350,242,498,351,429,148,391}

Returns: 2
{519,1015,758,1503,1603,258,1003,525,71,1390,1089,1595,1333,1273,1080,74,972,1224,1417,820,1360,76,1149,999,1577,1255,1303,1461,1538,22,521,809,2,1248,300,1063,619,1387,901,1050,1604,631,730,520,1468,552,1620,1384,476,666,760,1642,1241,1181,82,654,343,400,1210,1276,1053,1419,977,232,1160,206,191,1101,759,1418,674,1222,1554,1568,509,326,1600,504,469,671,351,1618,1349,540,778,864,836,859,309,1639,189,860,562,775,1260,1428,964,42,877,1643,1323,790,922,1433,984,1655,1098,1108,628,145,1329,296,1056,330,1547,1244,390,782,756,699,1470,255,590,833,1111,1389,130,379,502,1059,110,1038,412,136,840,501,646,837,882,1238,953,1165,1297,1272,695,1141,59,832,261,13,894,1055,1156,245,952,132,341,702,740,735,128,1259,199,786,1130,1154,944,1605,876,1571,1381,715,1030,1376,203,1104,542,996,1201,916,830,1633,722,1343,183,1637,1074,397,1077,1539,279,1190,1563,1054,225,70,399,594,1179,1535,108,1656,906,1016,1627,1186,1306,898,895,422,477,1514,673,867,1044,610,211,721,694,828,302,1042,582,361,704,1659,304,1195,1322,1295,332,1037,727,166,1599,588,1499,512,10,861,281,58,1570,1214,518,571,1509,327,1584,641,346,1553,1631,868,1651,1434,260,858,973,1025,692,511,431,246,942,831,15,358,1091,550,751,234,1518,1590,357,236,294,1228,755,574,1422,541,177,954,1043,637,1412,500,742,52,193,481,333,696,970,299,478,1507,966,1106,1646,1479,698,1641,453,1378,1347,1626,126,1152,1369,913,1311,356,1460,462,767,125,88,625,969,93,380,1634,827,366,855,1133,1283,1213,885,140,766,769,1291,1308,1560,1265,334,338,472,213,1103,1367,369,762,440,416,1439,353,1402,989,1544,95,1408,1398,490,1592,1124,439,50,634,1205,852,1486,1057,1327,68,1209,693,66,1049,1277,1363,1009,615,1636,8,1481,614,159,240,965,1583,1463,1135,374,823,905,387,173,1527,589,536,376,468,1386,170,1621,1660,1212,1558,329,401,857,1629,339,960,77,239,43,257,1247,1064,1477,463,780,707,449,200,700,1438,1002,1070,1496,514,607,1409,682,1292,592,479,771,426,40,787,505,1024,1145,100,866,391,1237,150,829,421,139,388,1658,1520,1079,548,995,172,1325,1365,1359,1436,144,1616,1471,1173,1171,120,739,1561,515,683,57,1036,956,473,1511,773,1035,1364,1187,1143,495,1278,1483,480,375,1625,920,321,1393,881,686,395,1385,1019,921,904,1192,488,169,638,731,116,113,765,1299,799,992,1328,1379,228,1246,886,926,185,1388,576,1001,1619,1366,1263,668,229,1569,1223,1424,455,893,148,25,373,1372,1495,1421,1427,642,1407,875,1429,63,1288,792,1082,874,1371,1304,157,1606,1088,1315,656,413,1087,149,347,138,494,657,1007,1219,360,622,1099,314,1268,248,262,1235,215,1482,1061,1005,1182,1356,147,678,892,444,237,250,396,465,1533,293,499,846,1506,522,1271,849,1250,1410,1545,900,162,559,423,443,1662,813,779,1115,1218,133,1243,587,826,55,993,328,1300,433,1394,1654,663,1340,371,1623,154,1456,165,807,997,1475,703,1550,1240,1582,648,11,927,734,1215,372,871,1335,1399,256,1153,1462,1151,65,1332,54,618,20,725,1354,1344,1648,853,1413,1257,1480,981,918,1188,456,1579,1245,1200,81,459,651,370,1502,1345,432,908,101,350,408,1512,429,1267,1208,847,1229,137,1039,1129,537,446,891,1321,1441,1337,1011,1549,1028,1574,1086,941,533,254,1632,1607,1443,181,1401,1517,114,331,60,436,805,325,1543,152,878,1444,1331,98,1159,798,1100,1242,1375,175,1206,1357,1529,377,872,1112,1608,1047,950,306,1314,220,392,123,1647,39,532,933,579,1522,795,1020,1164,1452,842,320,936,538,73,743,1185,283,818,623,49,1313,943,655,741,1266,1058,713,937,219,982,1096,854,1392,560,414,733,1320,633,1597,87,1085,1310,802,986,675,1615,1581,409,109,980,489,35,352,1612,503,324,83,210,1196,194,419,1617,1567,1426,451,216,1449,1397,335,275,1559,1294,677,153,222,1253,410,285,430,1119,1017,940,290,957,923,127,1127,524,312,685,684,1614,492,603,1519,14,888,34,1611,825,1117,1293,3,1457,1168,434,386,445,1531,649,85,979,192,1006,467,635,29,1575,292,510,1430,1140,1095,789,1362,1008,1513,1573,1189,1494,182,368,1234,1380,529,754,750,1207,1142,1586,349,1464,718,190,1174,1118,72,1319,658,171,845,689,201,198,563,289,819,608,839,485,1146,355,364,1588,983,276,1202,46,814,647,1021,1596,851,1275,1346,415,1067,1598,883,617,581,238,1405,86,1012,1551,1230,142,231,1034,723,653,271,1155,1162,1466,1040,1158,1353,998,44,442,1211,129,870,545,1073,1488,1029,611,938,584,724,30,251,318,1431,31,800,1060,1139,131,929,266,720,841,79,764,1150,1217,543,535,697,1382,1,547,967,1170,122,90,709,835,267,1501,1555,1076,264,1301,1013,1355,796,36,1451,627,624,1286,1339,1472,803,1172,770,911,632,179,1023,411,1134,21,644,976,48,1562,167,1373,988,909,1516,348,793,1166,1593,273,1203,612,1454,307,112,712,752,1251,1542,233,1395,214,585,1469,681,7,1261,1490,961,1557,597,482,1093,599,298,566,1342,1216,706,1225,1105,1565,1406,417,1609,1368,367,664,202,573,27,1400,316,1279,784,1194,1000,791,598,1290,1090,1534,1051,1284,534,523,1161,78,117,670,186,526,1450,575,822,195,728,1083,208,84,103,1072,221,643,1491,398,1258,12,1610,530,1336,884,1638,1348,244,1498,896,1071,1465,452,164,284,406,557,604,268,1640,1505,1176,1157,111,226,1546,308,910,716,1069,555,278,1423,531,1504,914,382,951,1341,1524,1485,1644,26,1107,1264,235,925,1403,843,1455,297,17,546,776,1092,629,1645,4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Returns: 2
{20,231,365,399,46,363,259,272,511,133,395,220,163,188,23,10,394,383,455,406,174,155,99,496,38,385,314,366,156,457,429,283,471,95,135,301,364,88,98,286,421,321,235,59,374,43,44,16,335,449,521,113,22,140,143,64,94,508,391,446,117,237,244,341,93,255,476,147,392,397,206,13,57,426,373,284,165,2,488,256,339,159,355,76,5,158,51,160,213,123,271,17,75,506,478,320,432,323,87,80,60,351,194,157,14,184,379,236,417,253,295,382,35,265,420,400,482,3,294,299,221,470,497,105,9,483,25,74,108,345,324,204,167,268,410,467,430,481,338,527,185,240,171,224,61,350,524,83,519,487,116,398,525,526,347,531,91,33,6,127,48,346,512,414,82,279,205,329,530,377,190,287,440,371,499,118,207,39,504,42,352,370,222,311,47,180,296,252,12,480,86,462,289,343,342,223,196,15,387,485,153,336,191,144,308,122,230,134,85,285,177,49,501,459,354,254,402,4,464,1,89,427,494,500,393,7,326,109,54,172,266,516,510,229,502,424,317,170,176,267,344,486,203,448,518,388,433,249,332,258,187,361,210,26,178,53,72,404,412,257,128,197,408,282,357,359,248,69,447,293,489,390,107,199,225,232,453,389,28,208,490,211,479,401,226,469,150,529,27,376,305,104,243,247,381,306,507,219,269,315,437,415,212,126,477,78,164,81,136,142,313,405,302,474,319,166,37,434,281,475,102,277,50,62,217,41,201,67,520,303,189,11,111,58,162,418,182,234,403,146,21,181,193,460,242,8,349,103,56,251,273,372,316,131,175,443,451,34,278,458,517,498,92,509,333,292,300,84,65,209,325,454,353,369,186,120,307,407,318,195,334,112,532,32,262,386,505,465,270,445,337,68,331,463,36,375,30,523,124,241,19,52,416,396,125,169,473,149,419,77,330,356,348,79,304,360,312,435,456,114,40,280,514,132,101,290,227,141,431,216,245,444,503,411,513,358,264,298,71,24,297,442,466,183,198,260,274,179,151,439,45,362,322,275,436,309,90,378,515,491,246,239,327,200,215,472,97,29,70,261,152,492,428,214,130,18,55,192,310,413,288,96,202,31,145,63,368,173,534,493,228,452,115,110,328,161,233,100,218,425,276,139,441,533,137,461,528,384,422,450,238,522,154,168,409,340,138,367,66,438,129,468,291,73,484,495,121,263,250,380,148,423,119,106}

Returns: 2
{20,231,365,399,46,363,259,272,511,133,395,220,163,188,23,10,394,383,455,406,174,155,99,496,38,385,314,366,156,457,429,283,471,95,135,301,364,88,98,286,421,321,235,59,374,43,44,16,335,449,521,113,22,140,143,64,94,508,391,446,117,237,244,341,93,255,476,147,392,397,206,13,57,426,373,284,165,2,488,256,339,159,355,76,5,158,51,160,213,123,271,17,75,506,478,320,432,323,87,80,60,351,194,157,14,184,379,236,417,253,295,382,35,265,420,400,482,3,294,299,221,470,497,105,9,483,25,74,108,345,324,204,167,268,410,467,430,481,338,527,185,240,171,224,61,350,524,83,519,487,116,398,525,526,347,531,91,33,6,127,48,346,512,414,82,279,205,329,530,377,190,287,440,371,499,118,207,39,504,42,352,370,222,311,47,180,296,252,12,480,86,462,289,343,342,223,196,15,387,485,153,336,191,144,308,122,230,134,85,285,177,49,501,459,354,254,402,4,464,1,89,427,494,500,393,7,326,109,54,172,266,516,510,229,502,424,317,170,176,267,344,486,203,448,518,388,433,249,332,258,187,361,210,26,178,53,72,404,412,257,128,197,408,282,357,359,248,69,447,293,489,390,107,199,225,232,453,389,28,208,490,211,479,401,226,469,150,529,27,376,305,104,243,247,381,306,507,219,269,315,437,415,212,126,477,78,164,81,136,142,313,405,302,474,319,166,37,434,281,475,102,277,50,62,217,41,201,67,520,303,189,11,111,58,162,418,182,234,403,146,21,181,193,460,242,8,349,103,56,251,273,372,316,131,175,443,451,34,278,458,517,498,92,509,333,292,300,84,65,209,325,454,353,369,186,120,307,407,318,195,334,112,532,32,262,386,505,465,270,445,337,68,331,463,36,375,30,523,124,241,19,52,416,396,125,169,473,149,419,77,330,356,348,79,304,360,312,435,456,114,40,280,514,132,101,290,227,141,431,216,245,444,503,411,513,358,264,298,71,24,297,442,466,183,198,260,274,179,151,439,45,362,322,275,436,309,90,378,515,491,246,239,327,200,215,472,97,29,70,261,152,492,428,214,130,18,55,192,310,413,288,96,202,31,145,63,368,173,534,493,228,452,115,110,328,161,233,100,218,425,276,139,441,533,137,461,528,384,422,450,238,522,154,168,409,340,138,367,66,438,129,468,291,73,484,495,121,263,250,380,148,423,119,106}

Returns: 2
{398,186,273,457,383,122,323,456,167,192,32,2,58,292,364,236,250,18,5,370,191,278,79,254,213,28,255,230,85,305,77,361,66,264,367,217,212,418,139,142,238,407,74,373,57,375,222,291,352,183,232,210,337,19,67,423,233,16,289,354,98,319,119,229,197,202,135,450,164,114,426,209,366,178,195,23,226,372,244,9,348,169,451,253,144,73,389,6,8,60,63,339,406,262,10,245,265,240,70,257,434,108,116,93,281,181,317,362,170,300,384,329,242,409,279,150,59,280,227,64,417,247,188,286,308,129,371,405,158,165,307,107,424,320,285,46,86,404,360,194,132,211,148,97,26,22,141,454,343,51,269,147,392,387,328,266,458,80,297,455,123,248,441,200,49,336,393,166,435,369,124,112,231,206,221,137,7,386,61,432,442,179,78,228,403,287,35,313,419,187,174,303,12,4,318,162,103,71,140,420,402,30,159,447,91,377,95,379,271,68,39,20,363,198,168,294,293,52,413,330,62,268,92,427,309,83,344,14,395,443,263,391,412,331,184,50,239,449,322,425,21,13,131,155,374,357,378,421,175,96,437,153,340,33,311,334,301,24,219,172,185,296,154,351,302,208,40,321,121,100,430,270,17,218,315,388,47,359,111,332,429,136,75,261,82,349,160,173,42,143,201,1,316,118,400,448,304,180,440,89,410,299,110,381,408,130,333,411,41,151,81,36,215,260,37,56,274,214,415,223,3,205,438,76,11,312,25,259,428,225,353,149,109,397,127,453,277,207,189,446,347,390,246,431,350,87,69,288,414,341,163,380,203,48,90,27,310,306,117,396,252,157,145,45,439,177,436,171,161,190,94,101,220,401,243,258,133,272,327,43,358,433,338,104,193,382,416,284,199,267,376,335,15,113,156,251,295,355,237,216,365,368,385,298,276,99,65,152,29,44,282,324,235,55,356,422,126,290,102,314,38,241,34,399,224,72,275,84,394,138,146,125,54,444,204,345,325,342,115,53,196,326,106,105,452,176,283,234,256,120,445,128,31,346,182,88,249,134}

Returns: 2
{199,1756,1056,832,1627,1234,56,1237,1115,104,704,308,1740,430,1206,1194,781,1297,664,1332,1400,18,970,1679,1843,1091,978,1984,410,165,1845,469,200,215,1640,761,1687,630,1723,1220,981,910,952,57,1837,1962,173,797,58,732,224,1965,627,36,1818,1070,1046,1073,1518,1694,1628,1463,1737,323,888,1324,1520,1872,1338,931,823,1264,1181,447,441,600,653,180,427,495,1910,1912,1171,1621,1923,863,1634,625,1011,969,141,103,734,1481,1479,1010,1939,212,1257,1500,976,1397,1751,1637,1414,595,1893,989,329,309,1870,1431,709,499,1203,586,1293,1429,1990,1970,1129,1000,297,1071,635,593,1173,1810,411,443,1200,203,1684,346,1198,471,1392,121,1131,1583,650,519,440,1426,1608,918,1589,241,481,1953,63,14,316,333,1364,352,1140,786,977,838,1936,484,1582,1143,1353,1048,1139,602,107,774,412,343,233,504,407,22,988,1127,1105,852,1492,1871,1885,958,753,944,197,1712,1835,1009,1581,679,1168,511,1570,105,337,1906,1568,312,933,1989,684,1811,1,1548,213,1015,1873,860,152,119,1212,1662,338,986,1941,1110,1064,747,1357,1323,1359,1226,1998,1192,720,812,1641,1061,118,1306,1991,785,1688,1464,574,1850,613,1561,1095,777,1412,1474,1372,403,1524,1388,201,1254,1433,513,508,1334,962,571,1639,489,1498,177,1595,1696,708,686,1114,307,10,716,548,1409,40,445,1088,1964,496,353,1370,1330,740,1447,1918,1108,1441,1348,1164,1633,268,824,633,667,1866,1093,1596,1155,23,1349,1771,706,993,1126,501,572,1916,1435,1766,1080,1765,876,1642,556,1174,178,1619,472,872,185,1832,655,1244,502,1057,559,1908,514,1321,497,187,839,1715,244,1689,1730,1709,1985,1142,1267,590,1959,1149,135,304,448,444,1065,218,417,299,1381,239,892,1831,454,251,175,361,288,1685,1241,1706,671,1001,1342,1857,434,1898,760,1571,1661,1358,731,1576,1625,765,1986,1308,1089,1390,738,1790,809,1085,1006,1928,1182,1059,984,560,769,451,819,1704,1041,844,179,1651,131,45,1894,1812,1623,240,531,4,1655,1018,1876,319,1489,245,1695,286,808,1924,729,1511,1563,437,554,1722,534,1820,32,1417,1422,1483,983,800,1374,1382,1699,1339,372,898,7,1897,344,158,1188,1556,549,1929,1789,1111,1982,1767,1801,94,1891,1113,123,1476,1803,450,935,54,1487,846,42,248,943,375,122,230,1260,176,113,1658,612,874,237,1393,1645,801,676,1300,46,1533,1052,350,1783,1738,1496,1186,1283,1823,1974,1072,1242,276,1997,250,659,88,1350,157,835,851,526,791,388,1177,859,1133,198,1734,794,1386,588,578,628,1223,632,1086,364,1784,1454,429,942,1484,649,1229,882,723,1854,1579,1853,95,1758,683,1545,1132,400,737,1109,883,1814,87,1541,1249,714,815,886,696,1607,1859,1692,380,503,30,1762,880,228,579,1176,855,140,1664,841,710,711,1453,487,1407,1121,834,1087,1647,457,897,589,148,100,1797,998,865,1934,662,465,1816,1937,795,688,1331,713,1773,1119,1366,669,494,1594,147,1313,606,1490,1233,397,568,1178,66,1347,92,1646,1822,1927,1043,369,1749,563,1102,128,1207,1311,1219,1360,1189,727,359,1420,642,1629,1667,1943,516,314,272,456,1322,160,861,310,377,1375,1204,1488,467,127,562,657,1281,726,1387,296,83,1495,1610,755,29,618,927,1272,1167,1060,1896,301,1215,1125,752,420,142,957,205,493,34,1266,1134,1557,70,631,149,1419,788,901,186,341,541,285,71,1278,1191,1708,827,1437,1955,1427,1930,624,1710,1547,249,1236,1626,188,567,143,1670,1195,778,345,1544,1385,999,356,784,1014,370,382,1153,505,1995,980,35,1909,1979,106,949,67,959,1691,1294,542,1747,923,1675,209,1951,507,1450,1657,1103,790,139,820,561,798,1975,1379,1593,1852,1090,1553,39,911,1079,656,1565,768,1798,1004,1097,1449,1750,116,1202,551,1024,1703,1284,1744,1961,1326,764,900,822,1622,1513,1299,1253,864,1733,387,1058,1782,917,1676,99,1858,1205,1824,1423,115,1286,817,287,964,79,524,1903,90,281,47,1123,130,596,78,1800,298,171,680,750,1958,1605,265,1262,858,1777,1514,1439,1291,1981,1227,1295,1911,1665,963,1705,93,1711,259,1844,802,1314,623,1098,1307,258,521,1421,1680,1040,1527,1025,1402,1288,814,1506,76,1231,12,1895,742,1770,1819,1377,811,1316,1309,1946,1292,1163,1948,217,1201,330,751,972,875,325,870,1994,389,518,111,1068,68,639,576,829,1003,854,1785,636,1673,480,342,552,675,1882,1602,1745,1794,1438,837,939,840,378,717,284,1005,1719,1842,1512,1739,955,909,1724,821,509,831,620,49,154,932,1303,1471,762,283,703,1199,1185,461,759,1075,946,1082,1781,394,793,462,1243,482,1931,1807,1112,1932,303,1411,693,530,604,1542,1787,1516,1788,1430,399,132,150,1886,1341,1268,1836,792,877,1700,1216,1436,134,718,1101,1728,367,289,658,1753,743,705,1698,1907,302,550,300,885,614,1779,226,1403,170,922,895,1806,1343,700,255,223,486,1083,1839,1860,890,1815,1968,220,263,1020,313,349,799,770,1274,379,1865,1796,401,1752,1600,1250,1458,920,1442,1410,968,1888,1729,1889,55,1448,1351,1027,1792,982,184,1269,1668,1502,59,677,161,644,1287,426,904,1613,415,1170,1210,1346,166,1416,1879,351,1467,953,1971,53,1754,1666,1597,1862,101,1701,580,1892,1069,1214,974,1588,368,663,151,1742,216,847,1505,1238,37,358,479,1486,1035,1008,1846,994,442,1118,169,43,16,72,538,1509,685,306,31,1763,1550,1867,247,1145,193,80,418,1669,1614,1156,1376,348,1585,238,476,483,1401,1552,1580,1384,619,391,894,221,908,985,1755,744,1586,756,629,674,741,1371,73,1861,1172,1830,605,1864,1063,609,256,1526,651,267,1660,1678,142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Returns: 2
{9,1,7,2,10,3,6,4,8,5}

Returns: 4
{163,14,114,21,108,22,99,55,157,11,116,44,87,36,121,51,89,27,143,10,113,72,158,62,134,24,135,18,98,39,139,48,106,40,107,37,91,29,150,35,138,60,88,74,122,33,86,26,97,75,130,12,104,49,101,34,119,76,112,78,141,53,154,42,120,1,145,16,136,15,164,66,105,23,156,46,165,6,109,52,153,80,85,41,115,50,166,19,118,7,149,65,94,83,148,45,151,59,147,63,162,30,133,67,124,82,142,56,132,38,103,43,129,58,161,71,102,28,123,31,84,69,117,13,93,32,100,57,128,3,90,4,111,25,126,2,137,5,92,47,155,73,159,17,146,61,125,79,110,20,152,81,144,9,160,8,96,54,95,70,131,64,127,77,140,68}

Returns: 4
{1118,456,773,425,758,5,1295,113,861,200,872,522,1240,205,1066,99,1303,451,1244,529,1092,346,798,415,1010,352,1369,372,1016,394,764,157,1180,297,823,291,955,683,797,231,814,82,976,370,1211,313,1290,402,1154,556,747,180,697,552,1193,83,1278,312,841,610,1291,278,1355,98,824,448,1199,468,1296,210,939,308,1271,151,1318,135,910,660,1168,284,998,239,906,131,1157,525,942,349,896,514,889,94,1161,58,1285,604,1313,441,999,191,714,650,1120,435,931,189,936,302,800,51,885,505,1227,593,733,316,780,325,1147,155,1153,277,1114,124,854,667,1300,531,1299,587,1113,663,1306,18,1032,293,886,647,1274,595,1230,458,1071,433,1163,356,930,533,965,628,1208,406,1043,64,915,328,988,362,1378,638,744,427,916,203,1197,474,1188,138,1005,111,715,642,1046,311,971,471,952,41,1331,314,1321,134,1017,651,755,269,1119,319,996,592,1364,581,710,255,1072,633,1013,234,1052,481,1040,549,1381,682,1250,304,805,469,1164,276,1162,434,1257,454,1270,550,869,691,718,431,907,389,1176,588,792,640,941,492,890,553,1237,12,1110,104,708,392,865,63,1292,46,1083,477,840,383,1183,136,1379,190,1144,306,1181,209,1064,411,1106,611,994,152,1061,613,1004,548,1194,377,1370,174,736,150,772,612,835,654,1232,537,1124,459,1368,586,1263,414,728,169,1253,453,891,429,868,566,1179,208,1137,166,902,237,1341,27,1133,258,1334,615,987,186,1241,631,1062,337,820,509,1050,201,1213,630,967,78,729,282,911,216,1283,387,1301,511,1177,30,1056,25,1175,193,766,438,1385,334,1294,56,1293,85,1371,303,767,106,1026,603,1000,564,1024,473,1312,125,1319,20,793,175,1060,391,1159,179,703,119,791,659,1328,289,1025,341,898,606,1281,343,1329,369,1108,535,878,544,1258,301,1382,351,1338,598,1249,576,1297,286,1087,236,1020,417,1033,163,1039,466,1055,648,1203,214,1304,280,1215,664,694,66,1204,539,900,92,1225,518,1248,462,1192,573,713,23,917,266,1127,568,1178,168,870,639,815,220,873,472,993,680,779,10,699,590,1343,646,1311,461,893,105,720,528,914,376,977,657,990,257,958,250,722,627,831,381,1284,413,1126,608,806,225,1307,202,903,72,887,294,721,241,803,270,1373,15,938,403,957,636,1333,218,1011,530,1059,412,1191,626,1101,686,1367,507,1085,333,843,543,778,386,876,226,1346,143,717,676,1167,197,731,609,969,547,821,470,719,536,1035,299,973,670,1018,574,1221,455,1067,172,1100,619,770,93,962,668,961,687,1252,399,1012,182,1095,49,822,48,864,44,895,8,1224,373,1098,512,1198,146,1266,248,1273,298,978,326,1320,510,801,77,1131,61,934,281,1315,116,1105,242,1002,409,1074,504,857,365,1187,401,974,244,940,444,954,347,1200,13,1079,275,970,253,1189,287,856,489,1361,7,1091,476,1362,251,920,318,838,344,834,436,844,14,923,110,1332,437,799,674,786,597,1325,666,1045,572,1077,624,727,601,1365,204,706,384,818,614,947,6,1280,546,1028,296,1001,141,807,584,984,264,756,137,979,490,1287,491,1150,557,981,570,882,271,1288,618,1344,142,796,513,1130,145,759,475,888,259,1201,589,1350,397,1238,274,700,230,871,43,1317,672,982,184,1116,229,1148,368,1047,108,781,521,1096,621,909,582,879,11,1041,649,732,357,927,602,1063,479,1097,249,1088,144,1335,192,1261,579,830,217,912,149,811,424,782,34,1349,24,1314,53,1336,689,963,605,1226,591,771,410,1330,446,776,121,1139,263,1109,9,921,450,1383,482,983,233,788,422,1007,246,1264,238,1107,338,839,622,735,375,901,129,1075,405,1309,52,1023,542,832,211,1305,361,842,520,1259,498,1053,432,1289,532,1327,350,751,363,716,115,1339,625,989,28,1132,96,960,29,972,506,827,632,1279,407,991,185,959,224,848,194,1184,327,926,268,738,206,1212,679,929,132,997,503,1245,122,1310,569,1353,320,1054,527,1243,393,956,562,1275,26,711,502,808,495,968,379,1081,497,949,645,1129,367,754,109,935,499,1236,662,1008,400,1051,385,1282,321,1042,54,828,196,1366,57,1015,681,819,322,1160,641,859,583,769,516,833,653,749,555,775,565,746,70,908,222,724,223,943,678,785,120,904,578,918,235,1357,95,1019,323,1347,354,1149,4,1038,272,1029,1,1359,551,874,355,1136,607,1231,181,1354,130,884,75,1246,634,1269,19,765,336,748,685,1112,55,1082,684,768,101,1094,295,1173,596,924,486,853,577,1058,558,1070,567,810,73,1065,177,1057,480,1102,353,1156,173,1358,340,986,69,1103,309,852,508,1345,442,1165,81,1363,50,877,655,1207,279,702,118,1277,165,774,488,712,398,1375,102,1302,148,966,563,1049,3,1069,374,829,382,752,345,845,285,695,693,1076,380,1195,213,948,114,1084,635,1323,519,975,487,1218,300,905,156,1233,140,1138,42,1169,288,762,554,866,176,985,87,1182,147,883,388,1034,463,1228,524,1202,467,925,416,761,404,1152,585,1006,445,945,423,1134,292,858,45,1247,89,1073,643,1386,688,1080,167,790,243,919,2,705,36,760,40,1216,71,867,307,745,500,1214,600,750,483,1172,76,1206,178,863,33,953,501,701,37,1298,485,1140,515,1374,669,837,127,1174,112,836,378,1222,616,1048,153,725,221,1196,162,1190,126,1036,561,696,644,1251,571,802,545,899,457,1143,330,698,540,709,447,894,358,1256,228,946,517,741,620,1171,88,1123,692,1014,240,851,21,922,283,862,273,784,219,847,60,743,335,753,290,892,599,763,339,1210,17,1135,496,1254,342,704,47,742,439,1068,428,1099,665,880,465,1267,656,777,623,1360,366,1217,348,787,673,1186,227,1380,59,1166,262,1337,207,1223,315,1272,317,1262,329,817,91,795,332,1324,426,1205,32,1219,419,1089,164,992,22,964,460,1141,534,1276,159,1316,265,1384,443,1125,65,1003,395,730,430,1185,637,794,526,1308,690,816,128,849,199,855,261,860,62,897,440,826,86,813,360,1286,158,1022,254,1117,79,928,560,1031,331,913,16,881,267,1255,212,932,652,734,260,737,494,1340,74,1170,117,1377,139,1086,559,933,396,1044,183,812,195,1356,671,825,154,1093,541,1037,107,1268,123,1121,90,723,464,937,97,1342,371,1239,677,1158,523,809,187,1111,67,707,103,1115,390,789,658,1352,575,739,35,846,408,1155,31,1151,629,1376,80,1242,420,1322,39,804,247,1351,418,1122,675,1027,661,1372,133,1009,538,875,100,1146,215,740,161,1128,170,850,421,1090,245,783,449,1260,452,1348,359,1142,188,950,252,1235,484,1229,594,951,305,1104,84,1209,580,995,256,1030,171,1265,160,980,364,726,324,944,232,1021,478,757,38,1078,198,1145,493,1234,68,1326,617,1220,310}

Returns: 4
{245,153,266,97,235,31,268,84,257,55,418,23,309,134,372,102,433,78,259,62,328,8,228,66,290,58,377,147,345,71,325,75,312,105,403,151,352,117,421,48,323,76,278,114,407,168,430,192,425,139,263,142,428,157,296,91,320,108,364,204,414,20,282,219,417,27,342,197,405,3,400,184,363,135,402,137,344,186,248,215,398,12,435,141,423,32,227,187,406,14,374,146,365,206,384,69,401,98,369,118,281,52,297,132,247,199,315,11,330,203,379,60,238,140,223,87,359,49,260,174,334,54,303,131,253,104,221,170,338,144,256,164,301,50,376,80,249,57,333,171,308,89,261,119,242,162,289,136,404,15,224,127,267,51,390,73,410,208,279,101,416,18,366,79,287,149,341,109,241,125,426,94,385,155,422,210,229,122,288,2,350,188,292,214,353,45,408,211,299,152,272,115,232,185,243,40,222,25,351,77,225,36,354,205,424,161,240,110,314,181,220,95,271,124,332,93,331,53,269,67,420,156,307,150,321,145,313,26,270,13,387,194,277,129,317,37,355,133,262,46,371,99,280,209,427,72,300,189,373,39,388,179,252,56,326,82,291,85,304,148,429,41,383,6,393,33,250,86,276,190,265,4,392,68,322,16,431,65,275,178,362,130,337,7,283,113,356,218,293,191,375,177,394,70,231,10,258,111,324,183,437,61,343,198,378,167,381,103,348,83,389,207,399,22,339,176,274,216,255,143,395,159,327,24,368,29,305,92,246,163,286,19,397,106,233,165,316,116,239,212,409,28,310,121,306,30,254,193,361,90,311,123,412,160,319,175,264,158,230,5,302,201,273,96,340,195,284,100,380,112,436,154,349,38,370,169,357,182,415,180,396,107,237,202,236,128,329,44,347,34,285,43,386,47,244,64,234,21,295,126,346,217,382,138,318,88,294,17,434,42,226,173,438,74,358,166,298,1,360,81,251,200,419,9,391,35,367,196,413,120,411,63,335,213,432,172,336,59}

Returns: 4
{1205,256,1211,125,800,642,1266,475,868,314,1312,455,692,572,1170,130,1116,310,856,426,773,542,951,384,1307,60,901,527,943,323,1344,132,818,291,1013,357,1136,227,1178,431,803,19,706,236,1007,237,750,553,1060,89,881,164,1058,599,1219,168,1067,332,846,88,857,387,1277,242,994,471,734,498,711,513,1132,514,1244,247,693,355,946,675,1257,538,1336,315,1324,151,1045,588,936,533,922,167,1224,672,727,390,842,458,1253,511,859,584,712,373,1197,299,912,347,933,491,1240,439,824,178,1003,618,1183,388,1148,408,879,395,1335,525,1349,407,1288,383,1321,508,1345,568,1016,7,1339,69,1054,573,1098,104,743,575,804,651,1066,440,1311,503,822,473,939,42,917,107,1270,634,1242,283,1027,306,1329,562,898,349,1160,534,1073,72,993,480,854,64,1026,401,982,404,927,589,950,456,1294,484,1146,400,1223,28,1062,97,776,364,894,290,1340,118,1346,259,1256,160,1083,344,996,257,884,102,808,359,1214,677,1078,450,1334,385,942,415,947,206,1111,40,1050,564,745,112,1120,549,1130,417,972,126,717,362,1117,472,1072,203,965,351,987,50,825,558,870,207,810,505,1021,492,1019,24,1210,109,1100,272,908,287,1006,211,812,297,1227,663,701,35,1115,423,1258,244,1145,313,757,632,1175,543,1319,652,1079,555,756,365,704,128,974,372,914,152,702,249,749,648,957,342,919,163,1196,316,1127,71,875,616,1282,29,916,655,895,99,1168,604,1051,432,892,653,688,433,1144,376,937,176,1069,325,997,217,1015,548,1142,530,721,369,1308,490,986,591,738,664,1314,520,1234,335,1043,17,1265,598,1313,625,991,551,1129,600,1028,134,1341,438,889,674,1226,171,1358,220,945,666,797,153,981,276,700,437,904,264,1217,121,1250,110,911,420,1275,602,840,592,1035,367,1053,221,802,141,1033,389,1095,567,1233,5,707,67,1176,596,872,147,1235,380,832,495,1104,95,1332,75,1103,446,852,424,1034,333,1059,336,966,590,1298,149,1138,139,838,158,1154,172,1225,360,752,219,1089,622,785,261,1049,268,811,670,748,345,1077,510,1259,378,1039,467,1299,454,910,117,1209,585,1192,636,725,487,1022,222,751,535,920,578,1096,506,1122,396,918,626,1247,339,691,14,869,241,778,82,1179,80,784,116,1065,44,708,191,729,137,926,260,1099,129,1351,48,1212,133,929,427,1002,185,813,320,962,193,1011,620,1249,654,686,435,737,656,1328,447,1243,474,681,660,953,661,1190,375,806,515,709,597,1289,298,1025,68,1304,250,1076,20,758,59,1107,92,1180,101,1093,170,1044,521,1088,166,1061,340,1207,489,1087,87,696,608,992,633,1040,305,1193,296,755,536,768,254,736,73,713,56,1024,485,1191,198,1005,201,839,179,1135,673,849,85,1316,425,714,238,978,532,1186,346,1046,459,1159,39,1112,394,1018,541,1237,115,753,539,792,233,954,1,877,275,1355,464,1267,278,1133,3,853,76,998,199,1228,393,888,91,1147,647,829,571,1108,601,786,23,794,295,1229,51,687,144,1125,486,1014,460,1029,267,816,545,1080,392,960,607,1301,231,807,169,1286,155,716,391,887,63,932,119,1291,547,699,466,765,587,844,98,858,245,1248,277,880,311,1137,476,1009,398,1030,612,791,41,1174,135,1177,451,983,214,1184,136,1090,595,731,583,1255,308,1085,49,1357,232,793,350,913,657,746,630,896,546,1001,194,1152,645,1323,284,977,411,760,581,969,429,1105,96,861,33,788,382,1348,285,980,293,968,181,1327,556,1350,641,1041,522,1110,174,902,212,1241,246,1169,252,1232,580,1114,650,827,627,1140,66,1057,286,1254,469,1153,38,1164,537,718,288,874,457,915,463,863,639,1182,504,979,94,775,183,1171,159,1352,483,1218,550,789,150,1215,224,1119,225,834,127,1203,668,1272,403,795,516,850,223,1012,300,1068,552,1287,462,1331,143,1017,617,1302,557,1102,122,845,253,1306,83,821,577,1166,441,683,529,828,9,855,566,963,609,1042,62,1113,442,1236,502,724,229,1262,619,1128,613,1293,304,741,148,1326,449,680,157,940,640,1204,352,1020,124,1221,46,682,412,893,271,814,177,1082,586,1264,303,860,202,796,192,867,540,1195,4,720,671,1318,154,774,524,1245,414,1063,436,1325,156,1008,131,1252,301,1343,500,1213,113,815,234,1271,416,1342,52,900,614,1165,140,1094,413,703,493,866,452,684,428,891,565,744,21,1296,93,1091,331,1310,593,1251,561,1031,496,1075,409,928,406,1124,54,837,289,1157,100,787,554,689,646,967,189,1070,226,1278,282,971,341,694,635,1118,255,835,377,1141,2,715,509,923,84,924,379,955,518,948,57,941,204,1081,448,833,190,780,30,801,405,1109,280,882,218,886,53,1198,78,851,47,1260,421,871,624,989,482,988,329,841,526,1283,180,1161,402,1273,338,1071,13,831,610,878,366,1048,317,975,11,1052,103,742,195,961,77,1194,559,905,58,1126,16,1056,528,1163,279,690,363,1353,197,723,326,865,611,809,123,843,358,964,570,1246,444,730,465,1097,239,1162,208,782,371,1084,623,1158,579,1167,161,1309,294,777,15,1037,563,1004,519,1121,434,976,497,695,637,1187,61,1201,274,906,354,890,410,1285,258,925,273,1305,337,1047,470,931,209,1220,381,883,659,1322,334,1134,45,1261,531,1208,418,1295,343,1038,12,728,302,1356,327,1123,479,1188,34,836,370,1106,186,735,142,1290,309,1149,55,1200,37,732,507,995,145,1347,603,1274,111,952,312,739,461,1189,262,1151,582,1279,512,1181,6,819,235,1139,361,1317,22,1284,318,1239,269,935,173,754,240,938,649,1230,523,973,348,1269,430,1333,665,740,644,909,386,1292,353,1238,248,1150,669,799,184,999,32,864,120,820,488,876,501,705,576,970,307,733,18,783,453,1330,628,698,146,1173,200,930,90,762,658,1032,251,1280,517,934,356,1315,162,772,188,817,621,763,419,726,230,1064,569,1320,330,1092,481,959,499,1156,79,823,422,903,368,830,265,779,105,1086,270,1155,574,805,560,1202,615,710,643,949,263,873,216,1303,678,1199,205,899,319,1263,175,885,114,1101,228,747,8,766,210,1276,266,1338,10,722,606,1216,26,1354,638,1000,31,956,81,1143,374,1055,86,761,196,1297,328,1300,662,764,27,767,138,1185,478,897,108,769,215,1231,445,781,679,1036,605,1281,322,1023,631,790,182,907,187,1206,443,990,324,759,494,847,281,985,321,1131,36,1268,629,798,594,1222,106,771,468,984,70,770,544,848,65,1172,676,697,25,1337,165,921,399,826,43,1074,477,685,397,862,292,944,667,1010,243,958,74,719,213}

Returns: 4
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Returns: 4
{542,283,678,63,782,46,677,115,478,409,558,297,424,186,622,327,543,154,640,54,507,9,547,107,686,130,452,262,675,395,742,210,486,26,514,223,566,62,654,110,528,12,480,101,645,370,510,159,484,290,581,254,425,122,630,172,594,357,811,307,785,151,449,25,732,396,544,103,592,311,454,126,529,398,420,30,748,389,692,32,613,118,428,268,610,289,701,314,699,4,664,388,627,10,740,74,473,408,470,257,810,255,765,238,693,362,614,47,546,213,649,152,451,266,468,260,780,38,439,306,551,331,655,136,724,64,557,34,488,218,586,119,756,345,680,129,519,123,788,323,750,330,807,164,556,1,744,184,637,309,467,320,533,333,752,133,757,28,524,363,623,72,487,31,809,2,707,280,803,303,738,252,495,88,644,148,784,170,443,77,411,200,661,271,450,179,440,355,471,367,618,108,549,227,679,350,512,66,596,298,690,188,461,23,625,216,565,132,438,42,597,120,624,354,482,287,523,401,423,325,642,340,600,68,462,167,550,43,818,127,504,319,511,153,665,337,721,85,494,393,761,259,762,291,579,341,433,275,766,168,674,20,584,348,751,404,582,253,671,96,545,106,666,165,725,203,515,145,416,246,718,294,426,22,722,111,491,334,609,169,539,141,629,69,668,279,816,356,728,60,698,71,474,177,797,332,777,27,536,155,772,166,502,292,615,390,412,158,415,310,564,405,683,61,647,402,479,264,476,109,656,399,662,95,714,242,704,380,805,81,475,139,604,250,754,261,743,140,606,196,685,84,602,296,779,351,731,349,505,339,446,102,741,76,735,204,794,207,670,230,771,263,611,383,516,371,469,385,747,149,708,374,506,214,770,65,555,400,804,201,729,112,569,18,734,55,421,293,687,146,447,403,541,5,437,175,499,384,530,45,643,180,561,234,814,369,535,8,493,300,745,36,703,239,489,273,726,58,638,49,796,208,520,117,727,125,580,16,583,70,513,248,593,121,537,387,591,190,410,379,712,381,691,372,688,305,448,353,808,247,436,212,715,336,453,222,620,162,802,205,463,352,527,391,795,328,652,284,730,91,710,338,635,94,532,249,554,288,575,361,776,233,753,347,673,226,789,93,658,224,793,157,786,315,497,322,603,215,498,191,456,368,663,135,631,211,434,19,559,193,759,189,717,302,787,44,492,192,481,137,534,358,442,86,667,40,641,346,562,258,441,21,518,382,483,79,552,397,418,6,431,295,525,14,621,17,422,50,608,89,429,364,758,377,799,183,472,116,460,83,430,235,778,272,464,265,553,171,648,256,570,3,567,313,806,228,711,276,560,316,490,231,599,277,459,359,815,209,636,105,414,219,639,15,792,202,432,182,709,150,650,161,676,178,755,7,576,278,526,324,568,237,669,187,697,57,817,365,800,185,719,301,628,144,626,82,574,134,500,128,458,51,595,67,702,394,764,24,496,286,508,197,700,299,435,29,733,142,605,59,466,138,767,344,589,104,607,317,522,73,720,48,634,87,573,329,682,53,578,373,672,98,723,392,774,304,585,217,548,220,713,33,773,198,689,147,781,97,417,78,798,206,646,375,509,113,657,243,749,318,653,160,660,407,531,80,633,11,563,251,521,176,590,406,538,274,587,281,706,37,736,326,457,131,763,41,790,100,783,386,659,308,598,282,791,343,413,236,812,156,503,75,684,56,768,199,616,241,455,240,746,92,588,244,540,360,760,342,477,269,737,35,444,39,695,194,694,285,769,124,617,221,651,270,775,366,601,181,619,232,739,229,705,114,465,143,577,173,445,267,612,225,419,163,632,378,485,195,813,335,571,245,517,376,716,312,696,90,801,321,501,13,572,52,681,174,427,99}

Returns: 4
{697,121,622,154,765,398,625,271,996,524,1010,135,559,381,909,215,550,45,859,359,823,437,620,214,1057,16,650,75,1015,387,748,444,627,84,785,338,579,504,1039,188,595,150,600,363,972,370,892,252,629,279,916,166,691,211,548,456,535,323,608,268,976,505,992,101,571,50,885,341,759,266,1066,191,963,8,1032,136,970,24,852,403,538,178,590,458,610,393,1016,325,777,120,829,303,906,439,648,82,1035,515,745,470,639,195,848,260,537,320,780,99,762,421,656,380,630,147,997,299,742,440,866,483,817,119,943,129,685,383,949,79,925,492,889,206,806,197,670,88,967,481,1002,335,1046,158,947,520,1050,237,915,193,564,43,969,408,1060,503,975,3,851,466,789,443,652,495,756,180,956,530,767,465,910,442,993,274,995,377,796,103,578,502,1063,138,615,155,654,236,986,467,696,98,999,161,1023,11,850,409,930,230,1064,167,714,265,553,132,955,148,556,354,1004,153,733,312,801,229,1051,85,723,269,883,104,924,26,1043,163,563,86,645,48,982,348,672,396,853,528,587,202,1037,432,940,455,676,81,770,529,724,117,858,513,961,2,870,351,611,233,981,294,575,71,721,360,844,367,1041,399,813,109,686,343,646,423,794,307,1053,349,881,212,826,337,757,226,966,184,880,449,977,60,769,339,773,280,1036,412,923,468,558,430,811,386,716,126,664,65,803,407,567,498,677,217,825,472,641,97,1044,420,1009,350,945,342,718,413,739,384,984,282,569,231,948,245,1056,297,589,316,856,418,574,30,1022,200,855,13,682,189,778,321,637,369,702,527,715,59,653,78,958,164,809,232,743,72,730,484,895,347,709,523,651,278,596,390,786,410,570,441,933,462,657,64,927,277,931,34,863,115,784,7,800,501,713,246,979,302,815,517,1025,259,673,477,946,493,551,379,938,330,875,261,542,357,840,469,738,333,1055,433,913,128,974,250,861,157,749,133,755,31,893,139,647,309,1000,508,891,489,952,41,746,137,959,479,735,106,1034,275,901,257,805,310,1013,267,693,160,944,216,990,315,860,276,761,373,884,428,926,32,1045,476,1048,394,1021,90,899,223,754,491,869,356,965,485,929,289,902,300,905,331,1059,207,666,146,678,406,729,328,994,514,985,102,819,56,703,122,660,248,683,4,822,286,731,425,601,111,606,38,1012,112,594,159,872,54,921,171,649,194,612,210,804,87,988,452,968,272,845,213,798,438,720,91,793,447,1061,400,560,73,816,68,828,480,834,74,581,500,957,270,711,311,671,345,634,445,592,392,914,76,687,221,665,427,1027,199,619,263,583,156,989,14,983,317,1054,113,751,511,704,20,1042,203,688,18,846,414,831,174,566,110,873,305,964,463,725,362,655,426,991,12,911,242,951,313,640,258,766,424,849,162,1006,44,690,70,631,182,614,451,919,49,1014,475,726,177,635,55,1020,273,912,478,577,255,708,382,1029,436,734,471,584,526,1008,196,744,83,706,51,557,355,820,532,886,108,555,225,810,219,681,142,898,518,662,244,868,176,669,42,642,385,908,254,1052,510,1062,66,841,411,695,93,865,52,843,173,887,40,667,336,824,33,580,378,864,340,753,371,812,494,836,183,547,308,821,519,795,19,700,512,1024,95,772,281,593,144,549,291,607,295,962,227,624,36,572,243,932,329,998,190,768,453,536,165,609,134,867,264,987,37,717,15,830,256,874,100,740,368,562,496,760,327,781,251,1049,454,939,186,750,531,613,58,659,209,876,172,737,152,732,376,792,404,934,77,668,473,877,364,783,306,787,365,954,198,775,218,692,389,573,488,604,304,920,105,835,322,674,405,701,116,1026,125,935,130,539,9,922,57,679,290,837,419,1058,298,626,168,728,80,799,63,561,262,617,353,658,238,878,208,1030,25,1001,522,621,301,776,222,568,288,808,220,623,464,779,285,1017,46,790,395,541,416,632,47,540,192,918,516,782,509,643,361,602,234,689,124,644,314,545,22,774,94,791,23,552,249,838,92,588,140,719,474,722,344,903,388,628,391,797,334,1065,235,941,69,591,372,1028,415,684,253,752,39,971,201,894,1,1038,352,897,141,680,53,896,145,758,366,942,204,586,450,953,6,598,29,1033,247,741,487,554,446,847,533,928,434,818,486,888,507,937,114,1047,17,618,185,576,319,839,96,842,490,960,5,694,435,638,240,675,332,1018,374,663,482,882,107,603,169,1031,499,699,62,871,143,599,127,565,131,705,417,616,346,698,497,862,35,833,170,543,287,980,457,978,10,710,61,764,28,917,67,661,358,707,460,907,181,544,422,950,448,814,318,747,241,900,228,827,239,727,21,636,284,712,224,879,521,585,459,546,27,605,89,597,187,857,397,1019,283,890,506,904,205,832,296,788,123,736,324,802,402,582,431,1011,175,1005,326,633,525,1007,151,534,293,807,461,854,149,973,429,1003,375,771,401,1040,292,936,179,763,118}

Returns: 4
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Returns: 4
{306,41,337,204,400,208,325,98,363,86,303,49,388,128,302,15,346,34,284,135,353,24,451,118,375,115,254,11,281,130,299,96,414,146,253,61,349,81,357,78,372,224,394,152,296,39,280,30,242,95,327,46,316,79,434,105,265,209,288,97,382,164,295,212,251,58,294,4,381,144,307,89,341,70,271,38,293,153,383,198,433,169,259,150,374,66,442,17,261,210,367,43,445,168,351,113,317,207,329,215,393,107,257,55,428,166,423,211,321,193,380,67,340,5,313,184,450,222,283,110,279,47,386,83,403,112,331,6,250,56,418,8,263,131,289,218,344,120,285,52,339,176,237,71,436,179,439,48,335,160,379,189,255,199,408,142,361,87,266,149,376,85,232,139,365,154,328,18,342,226,338,185,273,2,332,178,319,29,356,141,272,35,345,28,247,103,238,20,277,31,384,225,320,122,429,77,276,80,323,14,300,151,360,94,391,44,348,69,369,134,241,19,413,21,352,32,314,143,449,171,366,221,234,16,311,196,264,132,343,117,454,188,275,10,389,136,452,111,270,172,409,99,318,217,301,214,419,50,231,100,228,156,417,190,453,138,447,194,370,187,427,92,438,220,448,51,364,72,350,201,236,25,444,91,333,65,239,163,405,42,377,33,395,1,297,116,330,155,324,140,347,181,412,223,290,125,422,227,267,104,432,216,402,3,248,93,424,133,396,75,371,165,278,145,421,60,358,62,446,202,443,68,440,192,354,186,282,9,426,12,378,26,309,108,258,101,410,213,430,219,245,23,312,173,404,158,268,82,260,7,310,203,437,40,305,123,287,109,256,22,373,157,415,183,359,200,431,37,441,84,355,170,362,59,368,64,292,114,230,73,390,126,252,159,336,124,387,180,233,174,407,191,435,161,406,167,315,88,411,63,326,76,262,197,304,127,243,53,308,182,298,195,398,45,291,206,416,13,425,102,269,57,420,175,322,119,244,177,229,121,286,106,274,162,399,205,401,148,385,147,334,36,397,54,246,27,235,74,392,137,249,129,240,90}

Returns: 4
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Returns: 4
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Returns: 4
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Returns: 3
{9, 1, 7, 2, 10, 3, 6, 4, 8, 5 }

Returns: 4
{1, 2, 3, 5, 4, 6, 7, 8 }

Returns: 3
{5, 1, 6, 2, 7, 3, 8, 4 }

Returns: 3
{1, 2, 3, 6, 4, 7, 5, 8, 9, 10 }

Returns: 3
{1, 2, 3, 4 }

Returns: 0
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Returns: 3
{2, 1, 3, 4 }

Returns: 2
{18, 1, 17, 2, 16, 3, 15, 4, 14, 5, 13, 6, 7, 12, 8, 11, 9, 10 }

Returns: 3
{1, 2, 4, 3 }

Returns: 2
{7, 6, 3, 5, 1, 2, 4, 8 }

Returns: 3
{2, 1, 4, 3 }

Returns: 2
{8, 1, 2, 7, 3, 6, 4, 5 }

Returns: 3
{1, 5, 2, 6, 3, 7, 4, 8, 10, 9 }

Returns: 3
{6, 7, 2, 8, 3, 9, 4, 10, 5, 1 }

Returns: 3
{1, 6, 2, 7, 3, 8, 4, 9, 10, 5 }

Returns: 3
{1, 5, 2, 7, 3, 8, 4, 9, 6, 10 }

Returns: 3
{1, 2, 3, 4, 6, 5 }

Returns: 2
{92, 7, 39, 90, 20, 74, 38, 35, 27, 91, 76, 1, 12, 45, 33, 53, 96, 106, 21, 19, 66, 105, 84, 24, 80, 47, 100, 49, 69, 95, 11, 50, 32, 70, 103, 104, 3, 8, 46, 56, 64, 10, 13, 28, 78, 22, 51, 18, 85, 110, 89, 5, 23, 65, 31, 98, 72, 25, 87, 107, 55, 60, 73, 77, 59, 102, 68, 67, 52, 26, 14, 57, 86, 99, 81, 82, 94, 71, 108, 109, 61, 75, 34, 9, 97, 30, 54, 62, 93, 6, 79, 2, 42, 43, 44, 83, 40, 4, 41, 88, 15, 48, 29, 63, 101, 36, 58, 16, 17, 37 }

Returns: 3
{1, 3, 2, 5, 4, 8, 7, 6 }

Returns: 3
{1, 3, 2, 4 }

Returns: 1
{1, 3, 2, 7, 5, 4, 6, 8 }

Returns: 2
{8, 7, 2, 6, 1, 5, 3, 4 }

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

Returns: 3
{86, 11, 46, 90, 3, 48, 57, 28, 67, 34, 66, 20, 50, 98, 111, 53, 102, 76, 36, 18, 109, 74, 32, 113, 2, 73, 75, 94, 49, 27, 108, 54, 81, 59, 95, 14, 19, 9, 40, 25, 93, 110, 39, 107, 43, 64, 15, 6, 65, 31, 51, 71, 92, 63, 83, 87, 12, 88, 115, 7, 17, 96, 70, 117, 106, 114, 78, 82, 1, 41, 35, 26, 68, 47, 30, 80, 5, 72, 97, 8, 33, 91, 16, 23, 37, 61, 85, 45, 21, 104, 22, 24, 4, 10, 99, 100, 56, 13, 69, 58, 38, 79, 29, 42, 44, 103, 60, 89, 84, 55, 52, 118, 105, 101, 77, 62, 112, 116 }

Returns: 3
{4, 19, 57, 41, 36, 30, 27, 47, 18, 24, 66, 16, 34, 69, 83, 23, 20, 55, 50, 1, 33, 15, 31, 21, 5, 8, 37, 81, 80, 49, 32, 48, 52, 54, 68, 59, 26, 17, 70, 42, 71, 35, 22, 25, 28, 72, 84, 51, 12, 73, 64, 6, 40, 45, 44, 61, 2, 78, 60, 62, 58, 79, 67, 39, 7, 9, 53, 3, 77, 74, 75, 43, 46, 13, 76, 38, 14, 82, 56, 65, 29, 10, 63, 11 }

Returns: 3

Statistics

Problem Statement for "ShufflingCardsDiv1"

Problem Statement

Definition

Constraints

Examples