TopCoder Statistics - Problem Statement

Problem Statement

Everyone likes some sequences more than others. Every person has their own function which tells them how good a sequence is. For example, for some people this function could simply be the count of negative numbers in the sequence.

Jezalb's most favorite sequences are ones that are sorted in increasing order. When he sees a sequence S, he immediately calculates the number of pairs of indexes i < j such that S[i] < S[j]. He calls this number the "sortedness" of S.

This morning Jezalb entered a classroom and saw a permutation of 1 through N on the blackboard. He quickly calculated its sortedness. He then left the classroom and forgot the permutation. He only remembered the sortedness he computed. You are given this value in a int sortedness.

Later that day Jezalb reentered the classroom and saw a sequence on the blackboard. The sequence was a permutation of 1 through N, but with some elements erased. You are given this sequence as a int[] seq with N elements. Some of the elements in seq may be 0, which indicates an erased number.

Jezalb thinks that the sequence seq may have been obtained by erasing some elements of the sequence he saw during his first visit to the classroom. He would like to restore the erased elements.

You are given the int sortedness and the int[] seq. Return the number of ways in which he can fill in the missing elements into seq in such a way that the sortedness of the obtained permutation will be exactly sortedness.

Definition

Class:: Sortish
Method:: ways
Parameters:: int, int[]
Returns:: long
Method signature:: long ways(int sortedness, int[] seq)
(be sure your method is public)

Notes

Pay attention to the unusual time limit.

Constraints

sortedness will be between 0 and 1,000,000,000, inclusive.
seq will contain between 1 and 2,000 elements, inclusive.
Elements in seq will be between 0 and number of elements in seq, inclusive.
Positive elements in seq will be distinct.
Number of elements equal to 0 in seq will be between 0 and 14, inclusive.

Examples

5

{4, 0, 0, 2, 0}

Returns: 2

There are six ways to fill in the missing elements. Out of those six permutations, only two have sortedness 5: {4, 1, 5, 2, 3} and {4, 3, 1, 2, 5}.
4

{0, 0, 0, 0}

Returns: 5

All 5 possible ways are: {1, 3, 4, 2}, {1, 4, 2, 3}, {2, 1, 4, 3}, {2, 3, 1, 4}, {3, 1, 2, 4}.
2

{1, 3, 2}

Returns: 1

There are no gaps and sortedness is indeed equal to 2.
3

{0, 0, 2, 0, 0, 0}

Returns: 4
87

{2,0}

Returns: 0

The only permutation that matches seq is {2, 1}. However, the sortedness of this sequence is 0, not 87.
30

{0, 6, 3, 0, 0, 2, 10, 0, 0, 0}

Returns: 34
100

{0, 13, 0, 0, 12, 0, 0, 0, 2, 0, 0, 10, 5, 0, 0, 0, 0, 0, 0, 7, 15, 16, 20}

Returns: 53447326
1021183

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

Returns: 27332616

2000 14
70

{8,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0}

Returns: 2539199134

16 14
0

{0}

Returns: 1
1

{0}

Returns: 0
987000123

{0}

Returns: 0
0

{1}

Returns: 1
1

{1}

Returns: 0
0

{0,0}

Returns: 1
1

{0,0}

Returns: 1
2

{0,0}

Returns: 0
0

{1,0}

Returns: 0
1

{1,0}

Returns: 1
2

{1,0}

Returns: 0
0

{1,2}

Returns: 0
1

{1,2}

Returns: 1
2

{1,2}

Returns: 0
0

{0,2}

Returns: 0
1

{0,2}

Returns: 1
2

{0,2}

Returns: 0
0

{0,1}

Returns: 1
1

{0,1}

Returns: 0
2

{0,1}

Returns: 0
0

{2,0}

Returns: 1
2

{2,0}

Returns: 0
6

{3,0,0,0,0,4}

Returns: 3
1

{0,0,0}

Returns: 2
7

{0,0,0,0,3}

Returns: 3
5

{3,5,0,2,4}

Returns: 1
3

{1,4,0,0}

Returns: 1
9

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

Returns: 1
3

{1,4,3,0}

Returns: 1
2

{0,0,0,0}

Returns: 5
9

{0,0,0,0,0,0,0}

Returns: 531
8

{0,0,0,0,0,0,0}

Returns: 455
11

{5,4,6,0,2,3,0}

Returns: 1
1

{3,0,2}

Returns: 1
3

{0,2,1,0}

Returns: 1
9

{0,0,3,0,0}

Returns: 2
7

{0,3,0,6,2,0}

Returns: 1
92

{1,18,6,15,0,12,8,10,5,3,14,7,13,16,4,19,17,2,11}

Returns: 1
14

{0,1,0,0,0,0,0,0}

Returns: 455
23

{9,0,0,0,0,0,6,0,1,7}

Returns: 36
31

{0,0,0,0,0,0,0,0,0,0}

Returns: 86054
11

{7,4,9,6,8,2,0,1,0}

Returns: 1
26

{0,7,0,9,0,0,10,0,0,0}

Returns: 258
130

{0,5,13,4,16,6,14,0,10,0,8,3,12,2,19,22,20,15,17,18,11,7}

Returns: 1
33

{5,10,3,0,0,4,2,0,7,0,8,0}

Returns: 8
56

{16,11,17,0,3,6,8,7,13,10,0,2,0,5,14,1,0,4}

Returns: 3
109

{6,17,11,2,0,4,1,7,18,0,10,5,9,19,0,14,0,16,12}

Returns: 3
29

{7,0,0,0,0,0,0,0,0,0,0,0}

Returns: 2112319
129

{18,14,20,13,5,15,24,9,6,25,3,4,8,17,22,10,19,16,11,23,12,21,7,2,1}

Returns: 1
43

{0,0,0,0,0,0,0,0,4,0,0,0,0,5,0}

Returns: 204703014
55

{0,0,13,0,0,0,0,0,19,12,0,0,0,0,0,5,18,0,2}

Returns: 22350655
103

{0,2,0,3,0,1,0,0,0,0,0,0,0,11,0,8,0}

Returns: 488835
76

{0,0,9,0,0,0,0,0,0,0,16,6,0,0,12,0,0}

Returns: 195151544
52

{0,0,0,13,0,0,0,0,0,0,0,0,0,0,0}

Returns: 3445661479
52

{11,12,0,0,0,0,0,0,0,0,5,0,0,0}

Returns: 328603
47

{0,0,9,0,12,13,0,0,0,0,0,4,0,0,10,0,7}

Returns: 478526
65

{0,0,0,0,0,0,0,9,0,0,0,0,0,13,0}

Returns: 179183723
57

{0,0,0,0,0,0,0,9,0,0,10,0,0,0,15,0}

Returns: 154453047
42

{0,0,7,17,0,1,15,13,0,0,0,0,0,0,0,0,0}

Returns: 1547311
26

{0,0,0,0,0,13,0,0,0,0,0,0,0}

Returns: 7097310
44

{0,0,0,0,0,0,0,0,0,0,0,0,0,0}

Returns: 3686522377
53

{0,0,0,0,0,4,0,0,5,0,0,0,0,0}

Returns: 15369158
45

{2,0,0,0,0,0,0,0,0,0,0,0}

Returns: 1289718
39

{0,0,0,0,0,0,0,0,0,0,11,0,0,0}

Returns: 184665483
40

{0,0,0,12,0,0,0,6,0,0,0,0}

Returns: 86327
36

{0,0,0,0,0,0,0,0,0,0,0,0,0}

Returns: 278943900
29

{0,0,0,0,0,0,0,0,0,0,0,0,0,0}

Returns: 775831020
34

{0,0,8,0,0,0,0,3,0,0,0,0}

Returns: 182012
35

{0,8,0,9,0,0,0,0,0,0,0,10}

Returns: 23444
31

{0,0,0,8,0,0,0,0,3,0,0,0}

Returns: 189161
35

{0,0,0,0,0,0,0,0,0,0,0,0,0}

Returns: 265870800
41

{0,0,9,0,0,0,0,0,0,0,0,0,6,12}

Returns: 1375307
36

{0,0,0,0,0,0,1,0,0,0,0,0}

Returns: 2112319
44

{0,0,0,0,0,0,0,0,0,3,0,0}

Returns: 383889
881521

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Returns: 2303644
73729

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Returns: 3691177
699628

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65,1489,631,1394,949,1537,0,55,509,1349,507,1027,1431,732,10,1514,1593,342,876,1287,505,1607,987,682,1373,1183,817,1471,4,1109,686,566,1340,802,70,25,340,1400,1671,1579,1239,1259,1438,3,1093,1237,1337,907,1667,183,915,482,735,282,1302,834,80,255,121,393,437,1137,641,1477,234,530,1531,654,1134,364,624,225,442,854,500,1679,1507,643,1192,1028,829,851,1230,1057,1619,1500,1191,57,333,56,257,1148,543,750,336,1648,536,557,523,1518,822,63,1567,767,450,115,818,278,1583,973,1070,37,1425,598,447,47,1520,667,145,614,1524,1392,220,1652,627,504,808,685,289,1026,1171,141,918,1475,98,1187,761,1141,1432,418,573,1443,1076,653,1231,1467,323,512,280,1495,1367,374,745,1271,0,456,315,1573,1582,1408,1103,646,919,1249,1278,1643,1071,1415,1645,162,1494,1668,1204,1069,612,76,1014,1144,633,402,189,1640,590,608,144,1442,296,693,793,383,1245,377,926,207,190,1053,135,474,1062,1517,995,1276,1532,572,351,613,936,954,673,1445,163,1399,1018,756,1311,466,1162,376,552,1575,236,485,1647,307,422,483,349,1138,45,1024,1424,1318,1464,1146,107,1255,58,1378,258,11,1377,254,744,237,1050,1589,947,1049,256,1571,389,1626,122,1393,1623,707,269,372,927,1306,99,734,662,538,78,810,718,317,1265,1127,116,473,900,1594,1209,717,1628,1003,1564,1203,932,1570,303,366,1473,766,920,862,356,1352,1314,742,1023,64,1419,146,934,748,780,587,174,1286,335,1563,1292,1142,730,959,1205,1090,601,390,427,976,1474,663,288,1297,974,1639,228,1161,558,849,212,83,1347,692,1436,142,994,1611,511,728,84,1220,700,527,407,1058,1334,1389,110,274,630,585,746,186,259,1221,721,1479,1159,1288,72,51,428,1642,1481,245,167,460,1447,1548,1555,421,1433,43,52,138,434,227,201,956,268,381,1291,796,1214,713,1063,991,905,842,847,1566,1371,229,1182,1530,155,1020,544,211,1345,1529,1523,1552,501,1351,1622,1065,277,475,1359,595,1449,140,986,1108,965,498,984,812,701,206,181,384,112,420,755,1587,583,940,841,205,0,216,168,672,1483,705,988,1576,828,881,1304,109,358,906,1097,1106,266,726,950,992,1157,1605,1540,367,1462,412,125,1614,1316,1525,887,1251,521,1455,293,650,639,668,53,912,848,604,946,1047,1163,1321,1339,119,1613,1082,42,292,1250,514,879,1184,580,729,1246,396,1123,1307,20,88,904,574,944,576,878,224,319,1658,765,461,884,1107,1482,281,128,1512,622,202,736,1077,962,81,214,773,733,838,369,515,1072,1390,546,1135,1360,192,262,843,1387,1674,448,1493}

Returns: 26506
159734

{21,230,596,647,669,238,248,19,526,697,163,360,374,625,285,102,498,269,262,770,17,531,366,312,120,424,511,638,42,544,136,573,635,83,130,215,662,491,133,309,583,571,796,707,518,747,472,149,545,699,444,6,384,402,198,319,812,684,810,712,51,181,516,768,710,152,294,245,434,13,426,65,393,597,62,591,542,692,778,711,490,540,628,576,627,237,541,792,157,372,32,68,696,714,557,586,521,517,100,665,336,487,339,674,298,499,617,140,616,736,493,672,686,550,741,186,395,462,180,685,551,683,26,611,1,746,727,226,233,428,22,265,574,43,138,14,439,344,677,598,87,326,331,340,702,103,667,382,584,53,461,470,452,471,642,754,398,164,791,154,445,673,369,496,719,24,58,543,762,30,349,66,185,201,223,739,211,456,380,81,798,460,85,90,708,335,775,0,104,200,786,749,793,808,379,29,805,548,401,612,691,282,646,670,814,447,503,547,137,95,668,706,334,147,240,449,725,641,807,552,370,525,558,365,283,743,10,359,257,592,301,406,504,412,580,761,589,341,676,744,653,124,219,455,20,192,171,789,479,288,194,310,538,234,620,203,664,546,356,302,514,8,806,204,771,663,509,60,799,69,797,782,239,144,648,9,242,408,291,457,687,41,244,753,99,467,640,193,811,118,11,0,537,417,755,0,318,534,146,227,513,121,604,182,622,494,389,156,125,742,386,5,459,599,610,218,35,590,605,202,409,718,376,419,623,566,497,314,527,293,562,206,64,160,568,232,783,261,609,34,634,7,207,555,196,213,317,764,153,410,191,565,76,63,141,794,387,56,703,484,363,106,560,167,738,373,607,260,451,400,228,502,323,695,73,306,595,236,54,657,52,804,142,297,126,175,0,325,214,698,209,0,333,704,436,730,128,145,679,246,790,553,602,287,296,179,329,469,423,618,97,403,404,148,243,645,779,582,701,392,438,324,78,658,420,773,28,361,70,632,127,422,629,729,681,720,278,788,281,39,587,524,630,119,299,774,82,731,407,437,721,385,343,529,421,105,759,276,694,601,44,74,247,162,255,785,690,722,151,507,510,172,474,199,268,549,88,38,134,286,411,113,501,377,290,765,528,482,486,205,593,767,757,159,280,781,342,633,559,570,364,348,659,650,769,48,795,129,481,448,483,139,0,91,405,740,563,579,520,643,715,535,224,396,464,47,321,661,274,71,619,320,150,132,485,465,430,221,176,772,752,416,675,435,478,169,183,492,25,292,780,705,275,614,27,107,394,425,458,279,477,442,89,561,716,615,67,569,92,476,0,466,480,585,495,512,802,508,307,383,784,72,717,666,473,109,756,3,682,295,371,313,800,250,726,328,272,0,397,644,523,700,758,267,346,46,327,303,440,174,197,178,210,533,33,173,289,500,613,354,776,108,84,15,161,165,168,654,813,522,222,166,110,256,631,330,766,212,86,693,732,300,567,229,688,656,488,50,0,651,158,351,23,358,353,322,468,689,116,220,381,745,131,122,378,637,443,345,114,12,399,61,155,266,578,271,588,77,660,111,235,338,249,554,135,427,251,270,0,355,187,603,639,413,332,49,734,117,40,18,2,59,594,80,177,723,530,308,184,208,433,258,273,94,680,735,254,414,252,231,600,101,577,606,724,626,748,264,112,75,475,506,36,678,454,195,390,763,489,311,432,0,190,431,556,305,441,532,241,55,31,375,388,4,564,315,649,98,621,259,357,760,277,636,671,801,809,37,217,572,519,316,733,575,391,751,263,463,446,415,143,362,188,368,581,304,0,655,0,45,728,803,709,115,505,652,57,453,93,16,352,713,539,750,253,216,429,787,337,536,608,737,347,777}

Returns: 5981422
26293

{140,7,230,117,134,303,178,246,121,5,253,94,89,87,286,39,150,25,176,183,252,136,110,0,75,172,290,192,160,296,225,276,179,111,21,96,174,210,319,200,228,15,190,325,0,40,272,241,127,261,90,0,107,223,3,108,101,46,20,188,175,138,92,88,211,307,19,189,300,122,305,67,38,63,257,267,191,258,68,171,155,154,240,244,18,135,48,165,76,216,83,58,217,203,215,91,227,152,218,6,161,93,137,148,324,320,116,284,283,265,197,173,105,184,97,237,254,23,51,309,209,142,77,57,270,306,128,12,251,193,229,308,214,151,260,304,56,317,310,259,242,295,0,129,195,131,37,282,281,32,44,145,36,69,279,113,0,35,297,70,196,41,8,43,66,224,316,64,100,262,226,112,163,232,13,299,95,322,313,85,268,4,47,65,0,156,269,16,221,220,181,256,238,213,168,311,208,201,233,162,278,277,72,102,29,78,52,79,99,115,204,106,24,247,11,285,14,33,164,74,45,298,34,275,27,243,119,182,60,143,104,0,291,153,321,73,109,301,130,80,166,194,118,273,28,49,59,239,289,0,169,0,170,271,250,22,207,158,86,248,202,205,42,133,222,315,53,144,266,114,186,10,98,314,318,82,123,288,294,26,180,2,312,236,55,50,1,264,103,245,198,17,0,120,0,249,292,157,62,141,30,187,167,31,9,139,81,199,124,71,146,235,293,280,149,287,212,263,147,234,219,61,132,255,54}

Returns: 83455
17268

{240,238,14,249,16,130,182,157,27,60,194,168,50,98,206,256,176,140,7,0,69,162,255,81,114,233,19,143,136,225,210,80,85,113,1,92,100,89,122,91,17,64,197,10,0,44,169,215,201,29,11,96,6,56,172,118,229,125,77,149,57,20,40,0,152,131,32,4,237,242,165,41,103,135,204,66,184,127,177,151,107,55,160,23,84,146,158,105,247,218,34,43,25,181,141,219,207,180,71,132,189,187,22,70,74,112,200,178,0,193,0,224,0,24,110,12,145,48,167,250,185,175,61,0,83,21,97,129,228,28,153,65,139,147,75,134,67,253,120,124,192,142,87,188,31,212,0,203,51,164,37,109,59,161,95,128,38,231,208,202,150,63,205,3,248,111,0,198,148,86,68,244,196,18,93,73,190,0,235,179,0,156,123,186,104,90,252,133,78,115,39,9,0,239,126,166,54,79,121,119,13,236,163,159,199,171,232,144,108,76,106,94,216,214,223,101,102,117,5,230,45,82,221,26,183,88,251,213,30,62,211,191,226,99,36,170,245,46,243,154,42,53,220,58,174,227,217,52,209,2,222,47,137,246,35,155}

Returns: 1142927
884211

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Returns: 53751
146111

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Returns: 4215097
131793

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Returns: 374035
414726

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37,485,590,109,575,30,965,136,509,1006,172,50,209,126,409,950,642,1093,233,40,658,542,675,1113,369,279,384,1161,380,527,750,969,1064,1112,1244,491,995,894,473,1251,139,1100,791,815,412,933,1074,1154,499,1084,681,783,1034,487,494,785,414}

Returns: 20694573
1000669

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Returns: 143676328
1020245

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Returns: 2302709108
964691

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Returns: 180784940
975909

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Returns: 3197499085
1004820

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Returns: 1642519983
1016863

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Returns: 11814661
989306

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Returns: 2897695888
993339

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Returns: 2025605168
991264

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Returns: 150268930
1004516

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Returns: 447380531
1000669

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Returns: 1111853
1020245

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Returns: 3419919
964691

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Returns: 1550608
975909

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Returns: 2131679
1004820

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Returns: 14477446
1016863

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Returns: 680946
989306

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Returns: 20560613
993339

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Returns: 18257138
991264

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Returns: 2004498
1004516

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Returns: 7296997
1999000

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Returns: 1
1999000

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Returns: 1
1999000

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Returns: 1
1999000

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Returns: 1
1999000

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Returns: 1
0

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Returns: 1
4

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Returns: 0
0

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Returns: 1
1

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Returns: 0
0

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Returns: 1
4953

{121,55,21,16,12,51,75,37,3,69,2,104,80,61,108,0,62,35,46,81,119,14,24,63,86,0,67,40,96,125,100,126,83,10,118,29,66,106,43,112,97,65,15,0,124,79,117,5,18,4,41,0,78,42,0,47,120,105,88,33,102,27,7,87,39,68,52,19,89,45,60,84,49,38,95,73,22,77,34,32,85,58,0,57,92,0,56,23,13,76,64,0,20,91,0,1,0,113,44,94,123,122,53,93,71,17,25,28,30,54,82,99,116,115,11,6,109,103,50,110,74,48,114,9,26,8}

Returns: 0
418076

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Returns: 0
35657

{117,643,706,416,763,564,340,413,406,635,650,264,867,88,458,687,136,77,280,440,309,703,197,981,969,701,647,303,358,154,441,740,274,168,486,684,287,825,254,739,498,104,942,155,47,223,735,696,245,272,959,759,681,232,113,488,674,35,30,546,133,862,633,613,805,764,399,150,925,460,522,515,953,78,210,55,226,308,26,671,936,484,292,972,619,886,424,251,983,536,823,1026,212,307,402,786,216,1045,32,152,79,323,1014,475,762,407,1013,1006,129,135,626,442,778,94,724,186,1052,801,217,157,13,368,25,715,50,450,370,179,526,900,7,904,915,481,265,314,617,325,768,865,898,941,281,1042,950,826,586,37,478,131,194,33,295,209,173,884,61,500,5,582,409,785,446,561,521,321,121,847,973,1004,660,1049,784,1044,988,810,9,702,120,116,36,518,313,711,431,982,649,394,130,523,1019,1050,1024,17,123,408,914,637,895,540,939,66,507,60,742,364,745,124,755,391,659,201,230,691,579,680,565,963,67,415,803,283,760,869,453,710,752,531,355,697,918,580,97,870,396,108,324,457,543,956,685,1008,4,1009,0,849,471,0,814,897,20,751,174,398,855,83,794,99,962,1010,726,910,906,3,864,505,511,317,351,774,924,947,723,728,851,380,946,367,420,992,227,189,410,677,395,833,419,127,743,917,102,529,107,733,262,818,828,912,170,270,567,807,903,883,311,261,658,181,878,336,1001,495,352,765,188,896,361,997,390,934,187,504,14,1002,769,506,694,513,1017,720,923,428,468,532,195,587,106,655,935,27,229,1015,260,913,632,159,700,487,789,248,184,714,995,927,858,0,524,233,510,999,741,1046,836,872,817,1028,80,873,191,652,568,573,907,302,881,713,994,480,249,434,34,861,290,246,383,744,929,1027,371,1031,72,278,56,362,1016,378,147,767,164,345,850,520,622,799,569,234,716,101,877,31,853,646,64,887,620,105,727,793,533,508,462,379,683,964,955,28,454,300,605,975,556,393,663,746,530,448,214,1033,493,149,899,648,777,427,930,103,756,519,854,736,389,616,885,436,809,339,423,75,642,1037,284,815,776,373,185,859,239,783,638,734,891,591,445,800,535,610,980,350,584,603,499,228,682,634,0,970,353,312,375,84,673,385,589,54,288,951,788,1,277,839,22,68,1011,169,614,273,384,73,299,141,773,1000,890,485,575,816,641,443,911,238,549,846,0,731,1040,356,721,978,597,596,377,538,143,48,165,329,296,87,140,76,560,222,305,86,841,360,555,461,503,792,242,137,171,709,790,432,976,957,812,863,2,496,1034,301,1020,986,286,578,894,827,40,405,689,346,527,177,472,46,824,909,928,160,275,993,547,830,868,376,882,804,835,931,343,958,338,0,473,908,16,819,175,6,1048,772,132,926,845,464,544,676,542,425,62,517,59,341,629,435,268,779,92,474,539,237,1038,182,554,213,821,990,608,256,791,29,477,672,577,41,628,126,328,298,572,276,10,15,326,656,180,838,494,0,235,991,206,310,667,905,602,269,342,372,645,562,606,802,708,466,666,128,320,148,192,294,880,857,45,916,24,463,172,89,509,19,607,541,333,550,675,53,664,879,236,966,837,497,937,771,843,315,808,161,447,285,640,595,52,798,469,654,492,207,1039,534,115,259,1032,255,615,693,91,651,110,204,795,871,996,933,200,775,178,1003,203,215,593,490,581,381,754,297,750,267,144,590,512,831,39,625,119,829,749,418,766,514,636,429,21,0,553,163,111,738,678,623,609,0,0,289,860,282,467,58,566,318,1041,866,537,501,196,832,316,781,112,967,688,1035,1030,952,525,574,8,717,211,253,516,719,761,240,875,327,631,618,18,306,698,145,118,1007,71,737,563,1043,753,811,576,948,940,156,386,489,258,848,57,692,747,502,96,901,199,220,82,729,151,661,257,231,122,630,219,366,387,93,491,902,263,834,449,225,114,984,202,712,704,889,183,332,98,271,624,414,266,938,205,363,571,557,479,570,421,422,528,1022,404,146,109,787,456,979,559,158,1053,291,707,331,162,695,392,279,190,758,627,444,401,960,482,770,100,63,139,840,412,369,1018,221,337,417,293,23,452,304,198,374,657,876,1025,403,95,822,987,548,583,426,439,644,718,856,451,365,998,1051,920,1029,780,888,612,852,968,125,81,670,585,668,438,594,653,476,397,483,12,722,599,1005,892,705,430,1021,813,243,43,51,669,844,604,921,588,1047,665,335,679,42,1023,989,348,1012,176,359,166,820,465,558,806,247,545,782,459,244,138,748,250,796,725,601,965,388,334,0,347,208,252,932,551,699,919,686,85,552,38,730,167,470,90,322,354,621,690,153,977,611,455,241,842,319,44,70,330,69,382,193,598,592,357,1036,600,757,985,732,922,943,49,74,437,949,961,344,224,433,954,218,142,411,971,65,400}

Returns: 0
47043

{399,368,374,85,821,650,855,361,727,401,0,907,0,546,265,514,758,280,457,119,658,340,348,0,441,776,273,445,293,330,4,673,338,158,41,397,7,503,775,902,634,799,228,431,99,853,371,63,136,552,475,40,33,328,8,716,876,312,0,366,520,862,909,189,254,824,383,0,213,323,160,621,17,711,661,2,121,104,224,527,736,660,760,65,403,439,659,568,0,757,832,812,914,686,692,785,221,16,861,414,874,382,843,605,751,773,537,879,234,628,460,166,596,682,744,651,309,684,202,452,70,863,10,790,369,562,102,560,507,220,698,333,478,418,697,230,908,836,53,358,547,235,261,307,715,278,249,557,353,496,298,55,162,193,58,381,580,302,232,523,559,169,670,97,173,155,24,783,486,626,294,895,251,735,141,245,200,239,829,901,127,737,287,352,207,428,897,378,765,233,384,68,398,553,130,616,262,780,464,483,450,536,798,389,613,720,893,595,343,789,362,355,62,614,689,279,319,311,100,471,910,365,668,395,455,80,470,168,342,209,226,816,505,103,335,415,347,803,446,308,218,756,313,609,98,574,120,707,49,23,201,180,905,467,488,549,125,839,542,741,73,250,728,594,597,37,539,454,390,423,746,649,747,375,326,838,778,459,123,602,881,92,185,732,292,705,833,387,666,144,873,106,638,181,870,386,86,270,540,170,564,591,21,584,14,748,269,0,303,663,0,888,662,575,607,880,563,178,530,25,247,655,592,329,566,648,417,510,359,761,576,487,157,274,554,285,406,373,623,82,683,469,448,639,847,11,468,34,878,762,275,599,887,416,749,289,474,388,56,433,149,795,46,426,851,288,492,680,83,420,899,237,494,521,76,472,476,518,236,255,665,840,231,462,424,172,199,545,834,745,263,442,837,587,19,676,769,400,896,139,890,171,408,206,627,857,565,794,678,706,533,138,480,367,436,212,402,299,808,182,188,215,217,79,570,620,886,759,198,391,499,846,804,225,610,411,286,646,356,766,498,809,429,246,731,768,31,641,447,112,528,167,481,485,579,850,93,500,541,110,679,405,108,283,555,860,493,603,709,75,197,581,216,784,753,915,69,443,458,519,192,84,272,135,733,558,826,501,156,318,43,630,290,435,427,242,774,730,844,822,643,241,767,755,664,304,841,42,830,617,291,548,208,124,51,437,1,295,0,161,465,385,147,48,277,681,15,688,656,787,806,764,624,889,27,129,800,134,884,0,703,479,771,339,363,354,327,317,598,710,184,456,52,346,835,572,817,685,196,600,314,81,210,461,332,260,725,792,788,543,364,805,394,669,877,900,582,738,858,511,654,810,252,622,831,856,708,701,827,9,504,611,463,60,906,573,645,532,734,145,28,667,583,5,187,869,271,146,421,211,438,484,256,589,66,306,432,3,322,631,796,165,440,126,174,633,413,647,495,509,629,724,885,696,894,35,868,324,301,223,872,690,517,750,377,702,674,238,240,571,619,904,513,38,635,842,763,608,177,719,372,567,36,535,490,578,412,802,577,175,61,113,419,585,797,111,344,713,183,632,29,281,912,26,152,122,393,859,194,866,357,268,45,612,140,336,214,392,204,267,782,88,770,723,315,12,117,807,422,404,72,179,6,300,266,700,588,786,137,618,350,57,823,694,191,726,195,675,320,522,297,128,693,325,44,105,13,512,551,321,190,742,74,508,531,714,913,653,310,64,50,116,916,828,305,845,176,451,114,815,22,882,67,516,59,151,818,772,506,754,740,550,891,657,867,712,491,453,227,561,229,107,89,94,854,849,20,636,524,244,164,497,752,777,376,77,606,150,704,691,142,811,258,243,534,90,864,96,47,154,502,569,529,615,132,871,159,739,186,409,515,264,87,883,148,892,444,407,115,259,380,466,276,625,875,205,370,671,917,351,482,253,257,32,640,918,101,604,131,282,284,721,331,109,586,95,820,672,477,525,903,203,717,779,556,538,410,396,644,296,473,345,341,349,652,848,825,449,819,163,489,71,791,852,637,143,39,219,695,316,54,593,814,677,718,337,793,865,781,699,118,334,601,430,248,425,434,0,642,360,133,379,30,687,91,526,729,18}

Returns: 0
115450

{344,53,441,152,258,351,66,167,31,239,342,366,442,473,2,222,143,101,184,365,128,294,76,67,116,45,216,395,65,273,158,0,373,33,197,318,421,42,465,231,290,278,112,279,458,257,87,32,8,91,234,132,163,126,370,56,241,378,3,46,336,396,334,416,40,118,81,269,43,410,423,0,119,48,213,89,311,419,339,186,408,202,346,312,292,34,176,479,466,443,476,319,293,0,368,352,482,317,214,232,266,374,37,50,437,345,178,198,447,201,249,111,315,264,0,371,108,280,17,133,185,343,75,297,480,449,252,11,240,0,188,155,96,388,474,120,92,110,470,18,450,224,62,0,130,299,226,122,381,24,233,211,310,355,438,86,284,328,19,349,164,392,464,88,35,161,414,69,341,275,15,22,411,407,268,300,402,177,191,44,361,229,237,415,429,436,61,146,267,383,7,270,399,451,302,182,431,205,183,434,114,472,248,403,397,0,327,210,225,468,329,313,358,242,16,422,200,250,285,28,203,140,94,153,5,187,295,305,325,71,168,406,196,104,272,420,360,432,303,58,74,227,68,385,78,376,291,308,135,363,246,354,14,404,433,172,99,106,36,77,439,452,309,0,254,260,277,469,298,369,338,171,348,52,286,287,57,235,151,174,113,322,471,427,166,109,400,102,47,253,359,149,26,391,190,90,455,379,139,144,141,259,192,247,409,261,29,340,93,387,175,243,459,460,324,424,82,217,364,446,394,30,64,206,301,121,4,398,283,142,193,23,147,223,218,13,127,0,160,173,105,60,136,382,475,456,0,304,262,1,70,274,157,347,117,417,221,125,332,25,204,84,138,228,276,159,337,123,263,350,124,12,296,356,0,265,83,333,194,38,238,103,413,27,21,323,461,209,195,384,79,73,165,367,282,393,107,100,401,481,289,189,372,251,362,6,145,386,353,230,462,162,316,55,212,199,321,314,95,179,59,418,281,440,306,256,180,51,134,215,326,170,115,20,331,236,137,453,288,39,435,377,444,428,219,390,463,181,10,208,207,169,148,85,98,405,477,357,457,454,380,271,244,307,63,335,412,389,330,97,150,245,129,375,478,320,9,156,430,448,220,80}

Returns: 0
585798

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Returns: 0
578886

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Returns: 0
37483

{235,255,128,171,65,261,0,84,17,192,198,188,169,210,96,135,92,183,102,2,99,223,40,268,238,200,276,47,237,236,266,290,58,146,151,63,230,62,239,0,32,264,212,288,265,206,56,68,106,221,262,152,227,279,158,38,156,181,54,215,4,170,118,275,269,208,26,217,64,164,141,205,145,267,78,79,229,196,130,13,101,46,83,100,219,134,142,179,15,139,112,270,97,157,8,9,0,1,272,45,113,281,180,49,107,248,195,48,22,55,123,129,74,284,52,278,33,260,72,90,126,86,25,37,3,136,21,76,149,214,224,110,29,16,39,43,87,241,203,70,95,186,204,0,173,294,53,89,121,253,85,18,176,244,147,104,11,0,150,28,117,81,111,172,108,88,190,201,231,228,122,250,132,35,258,143,161,14,0,75,93,286,0,6,211,285,114,94,234,247,289,109,27,125,162,144,0,280,259,124,82,167,119,182,189,154,225,24,155,249,246,66,165,0,254,213,19,174,293,295,73,292,31,34,209,168,103,263,166,105,20,184,0,194,197,7,257,98,115,251,12,226,91,57,116,274,51,191,185,220,273,0,291,69,140,41,177,138,36,207,44,243,67,245,240,133,5,242,153,199,148,233,202,10,120,271,30,61,256,77,287,277,23,193,60,218,127,137,160,252,131,282,159,80,283}

Returns: 0
12349

{73,202,312,0,163,12,219,97,103,121,119,151,70,3,87,102,89,17,108,30,290,258,29,246,289,20,45,0,94,292,177,198,142,238,158,24,6,287,226,152,169,55,122,0,256,80,225,131,307,206,295,224,116,155,7,106,165,126,125,109,306,41,69,271,230,146,170,39,299,120,298,205,233,240,113,25,286,0,22,58,68,172,209,0,136,105,36,176,132,215,28,220,51,244,82,115,138,253,304,275,31,37,216,38,8,195,183,21,9,294,149,181,228,99,13,19,133,161,33,78,67,0,199,212,166,57,252,237,168,223,243,251,242,63,284,147,154,190,308,65,2,266,191,270,5,81,197,231,71,110,14,162,16,129,245,192,311,130,217,175,64,281,59,114,140,273,35,263,196,259,77,241,235,278,118,187,53,135,10,255,0,189,0,84,112,47,42,11,269,100,1,4,276,15,248,43,0,27,184,282,0,107,160,44,303,76,203,62,268,234,83,179,254,92,239,301,61,123,98,127,300,260,178,264,204,208,272,139,227,0,137,229,171,296,297,279,32,218,26,40,48,111,150,250,193,144,180,201,104,288,186,182,156,86,222,128,34,262,257,214,157,88,174,56,23,75,72,96,46,93,141,185,117,293,211,249,66,277,302,143,200,91,194,50,159,207,210,54,305,95,188,101,247,310,134,232,173,274,167,309,291,283,52,265,261,124,145,236,49,164,90,79}

Returns: 0
9092

{93,8,156,48,0,69,113,0,0,90,127,106,121,2,59,63,107,170,157,128,51,44,177,103,25,153,52,0,125,176,155,11,0,9,64,58,126,163,74,37,71,94,70,33,161,21,29,65,13,20,4,0,165,72,32,26,82,88,19,137,66,166,40,172,0,39,73,53,45,27,149,61,50,30,108,142,118,1,173,139,46,0,162,95,24,99,109,98,174,130,133,111,154,14,81,92,85,35,76,152,168,144,164,138,104,141,23,68,122,67,16,34,31,115,49,175,178,151,100,120,36,117,171,0,150,18,169,136,146,148,3,91,6,96,180,179,57,116,47,140,112,86,10,159,62,119,160,41,75,83,101,131,145,80,56,135,22,129,97,43,12,5,105,132,167,55,17,77,28,87,134,15,78,143,102,124,7,60,123,114}

Returns: 0
695985301

{351,471,301,412,503,239,340,0,199,2,333,125,206,389,458,424,263,477,138,323,192,436,135,94,438,517,463,285,99,354,154,482,56,321,0,173,214,208,470,295,315,183,46,449,153,531,203,31,184,487,191,123,73,382,467,384,506,416,404,332,15,246,224,282,509,414,106,198,305,430,327,41,185,413,320,50,159,349,395,211,399,38,82,255,80,65,525,169,52,529,493,483,364,496,464,164,117,489,261,133,152,329,166,466,271,256,72,178,39,9,188,204,488,459,331,492,297,114,205,272,500,397,303,339,81,155,6,59,89,215,346,227,423,342,168,202,353,67,530,112,257,62,262,54,472,372,393,116,252,130,417,445,514,391,278,241,362,176,156,79,146,350,288,108,228,313,43,113,485,499,322,452,48,37,109,284,134,258,455,91,392,34,186,95,163,309,200,233,396,161,29,411,328,306,0,360,149,527,520,283,148,172,195,269,310,51,277,290,10,443,244,273,522,355,335,365,249,247,504,341,158,28,231,23,465,226,86,281,508,422,145,61,343,248,42,420,456,475,182,24,66,245,237,408,480,60,406,128,427,447,25,70,119,121,348,373,268,240,308,519,367,1,448,96,304,26,16,98,17,143,435,366,87,18,401,429,292,12,45,275,469,122,298,507,216,100,325,140,484,171,419,440,71,243,4,7,197,127,434,375,439,352,180,524,230,510,232,142,137,405,442,225,13,334,157,528,511,302,167,264,118,437,495,300,347,0,190,481,179,311,104,88,151,187,218,523,387,27,444,390,388,213,473,532,212,497,356,526,521,431,280,33,74,175,69,286,64,35,238,379,336,498,90,150,83,361,174,36,0,462,260,513,85,380,383,63,0,189,409,84,345,111,294,3,289,221,432,196,141,518,479,110,242,11,494,421,78,14,274,491,502,476,385,194,407,291,30,279,451,378,441,403,402,358,181,120,457,415,222,124,374,93,58,516,220,57,446,177,217,144,299,319,49,68,55,207,235,219,453,312,129,276,234,8,75,369,236,394,454,253,165,0,40,102,223,410,433,359,461,229,368,426,0,126,381,170,97,32,400,101,267,131,21,505,136,474,193,132,363,317,478,370,324,296,250,287,77,398,490,486,371,512,53,19,425,209,92,103,201,0,316,259,515,326,293,338,337,357,377,265,251,318,460,162,266,105,450,468,314,344,418,330,386,44,307,428,20,501,107,139,22,254,533}

Returns: 0
739749591

{573,131,840,1029,1312,1072,572,1040,720,986,1052,723,1011,1124,0,376,980,557,537,878,1576,1154,1533,1068,449,1254,1083,336,964,1201,990,833,989,820,1393,1234,570,37,579,227,466,604,543,318,1138,397,246,933,804,1427,184,1505,519,603,1395,122,451,1197,755,560,1131,42,1577,1044,1311,951,1356,1347,361,511,409,1005,413,1221,1060,1515,1274,327,590,19,1390,164,771,1567,455,309,478,580,628,943,1621,90,248,1190,765,1142,683,1655,241,369,108,247,384,1275,127,686,911,1175,1001,1224,622,673,281,146,667,843,1329,704,1517,1520,1539,231,295,1616,1202,1139,1293,983,1469,1397,542,401,230,1588,494,1259,378,475,753,1057,1159,707,93,586,113,1288,813,47,621,748,420,563,1051,865,675,422,212,1352,307,886,298,1206,1089,1133,1108,324,1003,1226,1357,1166,536,1231,148,1380,594,648,501,1214,236,223,1378,172,1376,1130,461,107,1666,81,106,830,1363,1415,1473,754,469,1034,1191,1174,904,825,1553,1112,1541,510,1024,152,500,1325,436,190,473,1491,1134,702,631,1055,963,965,811,1389,999,1059,1659,884,265,211,232,850,194,1643,700,1039,682,94,1223,1239,1555,954,29,1349,885,294,1339,827,39,857,217,1140,301,88,1053,876,1069,1501,75,296,1543,1324,424,1537,826,315,923,11,623,741,1187,846,939,26,1164,1137,1013,1277,1291,1432,1148,1129,1500,1399,518,600,414,671,626,1199,1461,1641,562,23,1245,446,43,714,823,1123,606,1037,280,766,915,1496,1446,1169,1603,788,1099,1240,255,393,821,959,775,14,538,993,398,1118,92,719,684,0,701,1287,32,575,1265,838,329,453,1479,565,1504,99,1344,1464,930,888,1229,360,340,1649,97,1,1313,740,1185,629,426,660,317,1215,1041,781,233,1326,1657,1285,1050,1135,866,554,278,909,779,399,18,1136,619,729,364,973,1413,389,200,452,476,1308,13,124,1077,1290,549,1594,839,334,1004,1574,1638,137,598,636,417,921,153,958,363,935,877,1198,1281,1268,1470,201,1182,1519,1371,1332,129,1016,1663,197,20,988,1468,841,1276,715,1591,974,1584,705,831,300,291,489,812,8,214,1343,10,1007,1632,1117,266,351,784,1171,1642,947,685,1103,128,1503,787,1640,1102,263,490,1296,645,624,1186,483,856,860,946,1323,1571,1487,1546,1634,567,551,932,1192,1451,1377,571,477,521,181,1298,641,1267,1449,883,642,202,987,900,261,976,96,763,30,1579,1506,758,506,774,1602,105,64,718,985,916,1598,229,1608,433,22,1165,1095,182,1028,984,556,285,325,957,1305,1255,187,353,1151,136,62,657,564,463,750,1085,733,58,293,1570,553,1336,1289,163,169,927,979,731,1529,950,242,488,120,523,159,1531,457,1382,834,456,880,1006,867,1481,910,1439,1409,530,1243,767,95,1104,713,721,848,1071,646,1330,1462,864,793,1444,903,778,91,928,613,198,1507,1394,1143,49,1153,842,687,1238,1600,1492,1200,59,0,1433,894,188,377,403,1211,1304,535,46,799,794,1261,1317,1495,154,668,156,1036,135,1353,1499,1031,1670,0,1526,1116,655,257,1253,1017,102,503,1340,0,375,1614,992,1210,1302,734,1359,1358,633,746,119,1559,1569,929,415,589,602,693,997,727,940,193,574,179,175,697,1058,1297,139,1423,1562,147,1207,195,116,253,1549,539,592,1375,465,941,173,874,68,893,419,437,953,244,854,694,913,1524,114,402,690,1084,89,710,1402,618,1610,508,1232,1604,752,1660,251,411,450,1008,225,1252,1587,732,1454,1042,968,1510,292,546,405,1205,902,1400,1167,35,388,691,1217,1538,994,428,899,738,0,730,699,862,319,82,1615,680,1030,1387,1081,568,115,585,1532,358,674,898,611,1398,60,1511,566,1342,302,1032,174,1619,344,1218,672,254,98,1516,1612,814,0,532,869,396,1648,306,33,479,644,1489,269,76,0,1256,724,952,1208,829,837,901,711,819,1563,328,382,1572,1636,264,703,676,871,1107,1141,150,1585,1073,977,345,277,395,1568,1061,1372,1639,792,1445,991,1271,83,1665,454,444,1000,1279,16,512,352,1314,1246,1476,789,870,356,203,1494,484,1018,925,1023,250,362,749,805,1074,1184,481,286,5,798,1236,1586,1150,1233,1047,630,274,1110,1319,132,1560,1065,861,1114,1637,323,380,177,505,1525,326,165,584,1630,922,117,1482,74,1230,21,1556,1183,432,593,71,36,709,722,54,1014,801,1437,15,1527,1335,1624,2,1056,365,1383,160,1145,287,311,1188,1668,982,1337,434,1419,744,272,17,1212,1096,1160,140,1497,514,796,1366,1241,836,243,498,379,1673,995,158,520,499,374,103,130,776,1484,341,1493,371,892,61,1173,390,70,802,605,1093,782,845,1158,1486,717,1455,387,118,385,625,919,1653,969,1540,1523,1168,1554,1478,643,425,1411,956,1038,1126,769,975,391,1521,1316,143,895,1550,1575,487,332,1086,1581,1045,918,1195,78,497,87,486,677,65,6,464,1674,86,1121,1490,370,972,1388,1542,552,77,1625,1172,373,824,1364,50,1283,735,206,1132,185,1472,742,1607,1599,480,1009,1629,1144,917,63,157,1475,41,308,1522,1386,981,1408,962,1434,1204,533,908,1119,468,1564,338,1216,797,238,288,1244,1355,815,430,786,1237,145,896,492,942,1435,1513,339,1067,1080,1441,1565,260,1369,1097,1064,372,482,544,213,442,4,312,52,736,914,513,1315,936,126,1106,651,1633,540,1156,207,381,84,394,1155,366,507,768,615,38,1163,1063,695,808,1403,934,1544,0,545,595,1020,654,1219,637,40,1079,297,404,252,855,638,418,1270,868,524,429,971,515,1235,342,1430,640,1350,614,1477,1209,1669,816,1225,368,383,679,142,525,1509,1545,1406,271,844,1458,632,1194,234,588,289,474,1483,321,1452,502,1248,966,0,1120,1090,791,1595,1346,467,664,1128,1177,670,1109,1227,1306,743,1365,303,1518,1412,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Returns: 0
812285387

{61,256,112,54,179,230,104,260,50,48,184,34,246,193,2,261,136,169,183,83,107,90,119,225,185,25,227,64,71,6,236,5,198,202,165,51,109,151,66,106,201,14,123,0,180,266,197,115,176,209,188,24,217,67,181,247,211,12,215,213,216,138,147,233,243,49,21,164,122,252,253,0,168,74,91,163,22,192,171,15,26,31,166,242,86,148,10,194,210,93,203,27,273,162,89,96,0,139,178,241,103,81,153,146,105,205,149,84,13,220,195,127,116,186,94,254,239,222,145,173,38,70,0,143,118,80,231,45,120,248,79,130,39,63,131,87,132,3,76,0,17,223,47,219,75,110,43,259,207,0,37,267,144,150,32,174,134,187,159,100,264,77,35,240,155,129,55,224,73,72,226,268,30,4,177,19,172,167,9,125,191,200,250,221,255,157,270,42,99,102,0,235,237,158,244,1,58,272,11,85,232,95,18,204,52,262,245,28,20,269,218,65,258,29,98,154,36,214,137,140,189,53,0,108,0,60,208,263,88,128,59,271,196,257,46,97,0,161,40,238,62,124,249,0,56,190,265,0,69,152,175,111,212,113,92,7,228,251,229,16,206,160,114,57,82,126,170,234,133,156,68,117,23,101}

Returns: 0
705460367

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Returns: 0
1000000000

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Returns: 0
100

{0, 13, 0, 0, 12, 0, 0, 0, 2, 0, 0, 10, 5, 0, 0, 0, 0, 0, 0, 7, 15, 16, 20 }

Returns: 53447326
1001982

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Returns: 23890212
1999000

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Returns: 1
1000000000

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Returns: 0
2000000

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Returns: 0
1019747

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Returns: 1

Statistics

Problem Statement for "Sortish"

Problem Statement

Definition

Notes

Constraints

Examples