题目链接：
King's Game
Time Limit: 2000/1000 MS (Java/Others)
Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 200 Accepted Submission(s): 115
Problem Description
In order to remember history, King plans to play losephus problem in the parade gap.He calls
n(1≤n≤5000) soldiers, counterclockwise in a circle, in label 1,2,3...n.
The first round, the first person with label 1 counts off, and the man who report number 1 is out.
The second round, the next person of the person who is out in the last round counts off, and the man who report number 2 is out.
The third round, the next person of the person who is out in the last round counts off, and the person who report number 3 is out.
The N - 1 round, the next person of the person who is out in the last round counts off, and the person who report number n−1 is out.
And the last man is survivor. Do you know the label of the survivor?
The first round, the first person with label 1 counts off, and the man who report number 1 is out.
The second round, the next person of the person who is out in the last round counts off, and the man who report number 2 is out.
The third round, the next person of the person who is out in the last round counts off, and the person who report number 3 is out.
The N - 1 round, the next person of the person who is out in the last round counts off, and the person who report number n−1 is out.
And the last man is survivor. Do you know the label of the survivor?
Input
The first line contains a number
T(0<T≤5000), the number of the testcases.
For each test case, there are only one line, containing one integer n, representing the number of players.
For each test case, there are only one line, containing one integer n, representing the number of players.
Output
Output exactly
T lines. For each test case, print the label of the survivor.
Sample Input
2
2
3
Sample Output
2
2
思路：不想想算法，就暴力跑了大约8分钟，把结果打表搞进去AC了,
AC代码：
#include <iostream> #include <cstdio> #include <queue> #include <cstring> #include <algorithm> using namespace std; queue<int>Q; int a[5005]={ 1,2,2,2,4,5,4,8,8,7,11,8,13,4,11,12,8,12,2,13, 7,22,2,8,13,26,4,26,29,17,27,26,7,33,20,16,22, 29,4,13,22,25,14,22,37,18,46,42,46,9,41,12,7,26, 42,24,5,44,53,52,58,29,22,12,48,27,30,58,52,49,57, 13,14,32,24,75,8,67,56,40,61,51,77,35,57,74,63,75, 12,72,89,11,32,32,59,61,62,89,22,31,67,33,101,101,34 ,74,90,89,61,73,18,26,72,96,25,53,93,42,11,80,42,94, 32,80,12,7,97,22,82,119,94,88,60,123,88,119,76,128,34, 116,57,140,103,133,107,44,100,53,20,51,12,74,59,146,111, 13,119,39,9,142,31,154,99,26,5,99,110,135,155,99,86,2,8,49, 16,126,149,76,123,101,168,128,94,51,38,107,119,70,64,149,4,62, 94,99,61,2,39,164,149,73,109,83,81,169,26,181,166,109,140,89, 64,62,94,30,168,27,31,192,82,215,7,184,199,158,198,215,62,157, 58,18,51,200,57,226,2,236,50,106,188,22,128,149,162,206,228, 150,26,205,18,9,107,68,188,165,184,238,48,95,92,62,143,164,238 ,156,64,86,134,130,245,258,252,62,191,138,71,243,102,111,187, 25,95,59,186,185,274,111,261,72,272,42,137,235,62,86,144,193, 77,146,265,156,54,188,40,49,125,110,16,29,218,219,68,138,268, 70,223,296,142,146,247,49,133,310,131,63,60,94,315,59,240,177, 14,226,332,164,94,53,227,33,130,331,97,23,316,114,271,67,339, 330,247,299,189,278,158,283,54,215,49,219,157,31,344,128,37,213, 335,57,298,102,9,356,99,362,342,133,14,121,30,64,314,102,318,209, 41,34,57,247,77,219,96,248,177,238,169,268,342,347,256,31,278,118, 369,33,395,229,16,218,158,208,250,9,335,75,93,146,399,230,116,357, 372,282,257,193,152,269,131,233,258,7,376,170,222,244,242,393,407, 154,47,286,191,422,340,217,83,209,233,374,355,144,87,266,238,44,363, 197,240,377,297,167,453,282,279,387,358,254,107,414,427,117,220,342, 333,177,199,396,280,113,22,348,14,424,162,86,339,219,141,408,432,117, 108,400,436,236,195,145,456,295,371,122,69,360,312,197,108,326,396,259, 161,197,20,385,369,225,161,8,182,358,215,224,167,124,42,225,263,96,100, 26,129,330,524,214,247,187,31,380,334,183,251,254,366,336,56,482,491,206, 278,39,162,107,14,441,13,189,330,297,238,104,298,552,491,456,480,310,396, 73,205,59,177,208,75,447,520,394,402,332,507,157,268,196,388,249,179,498, 493,471,577,501,85,316,580,508,502,458,488,241,316,363,395,259,589,113,255, 256,364,240,288,27,304,172,182,73,319,126,152,172,379,170,420,110,151,156, 199,217,258,560,383,132,379,290,537,76,360,281,329,389,568,425,440,487,553, 466,531,318,619,541,23,25,246,27,205,157,226,212,445,193,420,338,249,457,250, 439,594,12,285,256,298,68,265,290,287,391,47,443,524,650,193,104,202,344,234, 449,639,385,98,519,237,591,228,305,457,441,518,631,73,112,346,74,298,500,539, 673,588,670,248,316,262,513,705,405,140,229,260,339,639,477,637,706,125,218, 609,196,600,89,285,377,472,508,697,485,24,142,535,421,76,176,320,358,597,641, 643,590,320,407,554,518,250,194,459,434,110,660,203,475,530,719,313,686,275, 411,735,727,285,146,572,627,160,369,82,398,320,169,421,508,187,123,356,384, 747,64,449,101,26,118,228,410,684,540,179,299,726,16,385,44,737,97,391,344,88, 740,197,436,713,114,433,308,38,140,377,785,223,65,422,505,192,333,771,645,169, 263,679,245,389,396,823,64,458,671,117,57,795,16,477,422,96,75,343,501,418, 359,230,552,274,590,77,392,773,650,464,419,783,159,20,584,223,424,843,111, 708,590,127,483,793,164,628,510,479,408,633,159,635,708,173,553,125,162, 76,841,369,716,324,529,638,852,445,669,31,481,243,814,752,90,632,813,209, 546,662,196,810,894,761,700,219,629,892,535,779,714,706,806,272,578,157, 233,866,297,786,123,576,793,312,396,57,264,223,829,639,219,508,853,527, 560,116,501,866,200,933,292,573,867,575,885,454,607,199,329,69,428,199, 229,892,257,611,770,636,787,213,635,420,790,479,134,164,386,145,475,33, 882,585,107,428,867,766,669,540,967,559,855,526,696,973,592,184,635,321, 262,237,474,60,715,183,35,678,261,941,244,131,192,656,335,609,154,669, 947,635,952,589,79,825,891,569,63,685,918,850,64,377,58,526,75,268,754, 535,925,696,116,879,999,708,1019,880,984,71,923,810,394,127,450,198, 409,835,348,143,524,194,178,54,545,274,840,608,604,14,819,417,787,509, 965,322,1013,661,310,867,983,900,194,815,238,1061,262,1063,714,316,613, 559,725,239,899,447,87,151,862,902,327,110,612,118,212,123,626,407,816, 832,994,705,59,943,529,193,437,1068,660,410,982,377,838,728,1017,738,375, 1023,489,81,758,433,774,938,936,734,281,1036,567,1010,477,194,830,309,939, 902,984,1059,619,212,591,480,818,483,951,811,129,212,170,307,1020,781,112, 958,62,125,402,181,676,726,1149,718,222,1091,506,329,988,634,843,639,436, 1133,509,295,921,668,89,1023,376,96,829,471,966,1136,238,1135,283,184,1124, 870,997,1024,479,1109,970,841,1009,62,387,264,875,668,118,789,320,46,765,891, 692,819,614,295,1004,520,1013,914,473,280,610,775,1148,982,680,478,1017,1141, 269,1093,686,550,1000,672,50,133,871,538,82,117,365,466,984,712,127,517,490, 482,112,798,634,342,504,778,184,1153,656,567,748,1157,451,546,1168,1224,1252, 104,836,566,321,185,322,184,282,2,681,263,836,956,389,63,1062,1195,176,65, 797,737,195,360,678,394,1202,843,932,747,906,11,786,586,41,1214,244,209, 1132,872,742,785,1209,961,481,183,1187,889,63,1235,1112,680,364,359,1073, 1027,530,236,76,82,580,135,1057,776,424,835,960,994,860,574,341,1307,743, 730,151,82,298,1133,46,1239,1310,909,420,607,1200,798,525,578,1316,1127,63, 221,342,1269,863,697,358,243,1079,911,688,545,1300,1152,952,931,131,1253, 544,764,1324,35,1199,977,414,696,131,83,784,1171,35,175,927,759,590,1005, 1046,283,1013,1044,824,424,1182,1247,514,469,148,374,976,1120,801,531,211, 221,1105,922,248,464,1353,176,587,886,361,257,31,71,852,685,358,426,1335, 124,677,690,234,419,31,1311,515,788,319,389,1414,103,669,1300,545,330,162, 82,886,499,596,372,206,470,486,1154,868,862,610,145,1192,1356,862,799,370, 701,1262,61,166,1253,746,1202,218,46,1199,1387,915,1050,254,527,223,246,179, 5,692,492,215,458,251,601,1287,816,997,1077,613,713,1158,1256,1100,963,873, 1473,162,549,239,510,1450,150,884,775,902,434,639,813,766,1343,1154,1413, 1065,963,252,532,354,418,34,489,944,1075,956,995,854,1055,399,63,1453,1511, 1292,1369,512,1052,494,560,650,803,173,1286,1491,1413,965,4,486,802,982,655, 544,320,1514,1522,1413,1374,1354,1438,216,777,915,608,311,865,58,241,1291, 266,1500,303,730,1005,947,1318,1007,730,69,573,1388,348,1364,47,1096,1253, 1402,159,1050,1216,865,578,818,669,777,572,1412,723,1565,356,200,82,1017, 1432,1458,962,975,1544,786,1089,930,790,587,602,295,550,82,303,219,853,1472, 279,145,56,1324,386,1173,1205,1080,1367,942,1543,158,947,651,1071,1095,919, 712,720,620,455,467,772,8,728,809,756,283,576,110,1489,1257,188,230,296, 1151,371,92,1569,250,267,1311,115,1406,67,1410,380,951,1292,1319,1478,1511, 1611,1140,134,1297,1377,1186,150,754,1526,1144,19,1237,174,1160,1067,988, 1508,1170,705,202,1449,1161,50,133,128,1155,1635,1111,1534,1476,400,1213, 88,1659,348,1670,221,1472,1614,1445,353,236,449,1630,186,38,372,483,507, 1688,214,506,705,505,838,289,506,534,974,1179,825,130,785,782,769,1070, 1709,756,1385,1473,1590,1527,1686,1459,1379,1734,291,1673,945,1250,538, 498,574,851,825,459,934,852,1143,312,1434,685,1240,1093,1363,1418,215,1517, 375,34,217,398,549,1715,523,735,615,943,1299,740,1336,1117,1205,1060,142, 1193,1563,111,736,471,376,1691,560,164,537,676,1459,758,1289,1733,1755,1448, 217,1729,1779,284,677,732,1672,514,1231,895,1455,1448,1530,1399,198,334,295, 116,1114,625,839,1103,1642,1107,141,7,204,8,186,244,803,103,705,801,1075, 1254,1583,1371,1804,49,712,173,1278,633,1353,711,1612,37,1714,1462,297,101, 394,938,1255,775,1662,1672,288,1683,832,317,315,645,921,1172,121,1153,1696, 280,436,587,943,478,1168,1088,93,1383,427,1777,330,1080,1251,1098,240,1591, 368,1591,48,505,1006,481,1556,1374,52,154,831,134,835,768,1245,1367,636,356, 1865,424,933,1085,1503,1214,1867,1450,267,542,1196,598,1748,1559,1835,1744, 845,388,516,1163,1219,1855,806,1713,556,1116,1285,1355,1806,1526,206,533,844,917,114, 1523,68,32,690,1175,1898,1332,1320,1884,443,732,1137,621,1748,20,381,859,1206,997,1135, 1403,332,361,1210,790,1199,1476,158,127,733,173,1480,1108,1635,1934,529,67,1179,1441,34, 115,1014,831,1190,729,1568,50,1215,1889,745,1441,109,315,829,295,1443,1230,114,1359,1017, 487,1416,1585,138,396,896,852,1133,1444,251,520,1167,527,1791,1613,601,211,871,947,1570,17, 998,618,1774,1271,33,76,784,775,1511,1295,1995,433,576,1092,1761,1322,882,924,1944,1325,439, 1907,787,597,1193,1687,1477,41,1322,1473,303,205,891,499,1853,1547,427,96,1516,1297,495,348, 945,1021,79,95,244,1172,1241,1496, 593,243,890,1460,1650,1957,809,956,1616,1723,825,687,1874,1365,1846,367,1104,1499,1800,119,675,735, 1826,1756,718,149,167,1594,578,652,1362,1604,2043,1992,1047,1542,636,1131,1076,1471,73,1925,1031,753, 1590,1696,293,649,1950,1760,549,821,1219,1362,597,651,912,1317,1936,601,1440,1075,1713,392,939,1144,228, 2072,542,1190,1817,230,1643,972,2,1967,870,1719,1954,1369,893,1141,1338,2096,1074,638,72,117,955,1392,22, 199,546,920,163,128,1548,189,1758,557,1095,1287,2133,1869,970,1347,2137,295,1424,865, 345,822,1005,1867,390,260,1194,1477,308,311,1966,973,360,1076,1591,207,1183,647,1244,1919,410,819,256,1898, 1074,1402,7,656,1292,938,2060,130,1014,1691,587,894,1681,4,732,1105,2180,2024,769,1070,1884,345,1988,1012,4, 381,1898,7,407,936,1676,1709,761,977,643,2106,827,1799,798,757,2054,1800,265,1287,1916,240,1350,470,433,514, 1261,2070,450,463,1456,155,935,1066,1108,547,1444,1907,427,735,1472,1616,746,1416,148,270,1952,1346,699,767, 2105,2221,1628,1249,1630,541,1199,1842,1101,360,1716,237,1560,2132,371,402,1985,1924,193,1017,379,8,1403,152, 1131,1135,2274,83,714,1426,555,1037,2024,1180,849,1438,43,1212,1890,1954,1000,1298,2147,817,2101,1737,515,1201, 111,364,1568,1654,655,1224,1704,365,1684,1750,1409,831,2147,486,1692,1687,2216,952,1701,201,33,534,620,1216,24, 931,1399,1072,1141,1115,1662,331,2192,2115,744,1231,143,981,1800,258,195,1818,180,794,2025,2013,1388,1571,262, 1436,1986,1758,636,1752,402,1073,483,2280,656,1550,522,1465,2345,269,1886,1909,998,1157,1098,518,2017,606,1306, 2134,955,778,2124,710,1720,2195,1763,287,41,1273,47,773,1323,1555,909,1262,13,614,2343,1908,1263,1903,1224,972, 543,689,1255,2268,935,1808,885, 952,2279,336,1732,523,1067,1027,442,777,1909,330,2225,1896,1091,1744,767,1387,2304,213,1552,2101,554,2403,722,978, 2442,444,1715,2248,1658,1524,266,1157,196,750,132,1825,921,1986,994,1872,2413,799,2372,516,1876,2096,1637,1387,290, 1301,73,810,211,2352,1274,2171,864,1601,419,481,71,444,1800,2359,1362,1676,670,1738,471,793,142,2235,1781,654,1457, 2313,525,1473,357,586,1915,491,1896,2175,1459,2287,1161,1436,1179,975,2352,567,1714,156,474,1103,552,2141,699,1698, 546,522,1987,2328,1473,2379,2231,1720,1013,2111,1085,1331,695,1024,1987,2404,1502,355,2139,1510,1205,1802,574,1552, 323,1327,2461,776,1947,173,2371,2434,1017,2044,494,1888,2376,85,2284,781,1797,578,2493,1840,1809,2109,574,2100,734, 1920,2174,1202,2414, 845,213,1886,2089,642,1565,534,889,1744,940,1398,2354,880,695,537,2139,1256,2207,974,17,60,1290,1841,1443,282,1147, 787,332,2066,318,1154, 586,194,1541,603,2575,132,2055,2436,970,2520,1434,2310,1155,914,583,1221,2519,1320,2609,104,70,661,2584,394,60,2537, 1305,100,1174,102,2119,1597,1441,1758,807,2215,931,567,671,1530,2520,1332,573,2642,2508,931,2394,349,2455,529,1648, 457,1895,2455,1810,1494,987,2289,1271,141,1448,2055,541,1749,825,1436,656,1196,256,833,211,1337,1954,356,2086,269, 2257,652,2598,2345,2432,810,1885,2664,2532,298,996,2101,1410, 2326,2365,1602,1352,2545,1247,2597,1168,1590,1032,2259,1178,1488,1284,1137,706,1852,964,1801,1335,1673,294,1597,308, 1521,296,522,49,1569,302,845,202,1082,2664,642,2730,1349,1344,756,2288,882,424,855,2547,446,2473,2712,1773,727,189, 62,50,1016,2734,413,2748,1178,1869,391,2317,1286,205,17,2753,1162,2289,1295,2730,2731,2340,812, 1958,1012,2675,2683,2645,965,2375,1284,177,1012,2508,766,2608,675,158,274,434,1258,2605,1551,130,1370,2251,834,709, 728,718,1230,239,1716,241,2064,914,1323,476,1316,569,2540,1153,559,1082,2033,766,1930,1608,1975,876,1741,1173,2783, 2238,1391,1258,148,2107,407,2462,2142,1765,297,2029,161,2065,385,2233,1224,490,1562,724,959,2142,772,2682,1370,708, 1220,770,1626,746,1941,1114,1515,782,2617,1250,2454,2371,2068,1468,2722,1562,236,2511,2669,2313,768,1672,661,414,141, 220,1094,70,1040,783,1576,654,1779,892,2716,2614,1977,1138,2669,2274,658,1668,62,2183,623,2542,16,605,480,513,1299,925,2550,1392,1759,640,2511,1558,2751,1957,1409,2336,635,2693,762,100,721,593,1622,143,1303,987,1724,547,2877,979,302,1215,1994,1693,299,1866,201,2504,382,2889,1238,764,1739,1683,1758,763,2127,1324,2832,624,1760,2037,714,336,1523,234,169,453,1493,1166,1377,2548,2612,1747,2946,2168,2862,2648,539,2497,1432,2857,2040,923,1767,1161,2275,1529,61,1707,2947,2474,1233,2264,1400,1049,1433,856,1871,638,129,1500,2106,1744,405,1986,1096,373,1000,1064,1231,1347,2572,2237,2231,1232,178,2493,1148,511,2915,529,2867,1305,2794,1240,2822,2696,2829,2319,499,621,1525,726,2694,1255,2433,2427,113,2384,636,2785,1291,3011,485,736,2124,1036,292,2580,3019,2536,768,2917,1230,1417,1984,758,2676,2065,2994,2453,299,2579,1071,530,2477,1690,1759,2639,2921,2460,889,532,1245,272,1503,980,2653,2769,2258,2404,880,556,1855,661,1756,1478,2646,2030,562,509,1083,326,2115,1482,1972,2546,2904,1610,602,2865,1344,444,1086,1447,2339,1790,1287,2877,862,26,1557,660,2398,2526,2929,2673,916,96,2073,910,1801,1184,2644,1728,889,109,1329,740, 1892,1571,324,2871,326,2091,1386,722,1986,2221,2154,1704,559,3082,2251,468,1823,1581,2606,2327,110,865,913,3021,2629,2213,3084,2704,3118,2276,1377,673,2543,1486,1989,2466,382,657,2024,1472,1447,1439,2912,2178,1253,1214,2133,591,2967,2558,76,2274,310,226,1551,1028,151,2893,739, 2855,1528,725,1859,1862,2570,2046,1105,2374,1515,2704,1812,1651,752,3008,2648,614,1610,1470,3010,1642,350,606,1170,889,546,2826,966,319,2208,751,2835,2270,350,3102,336,959,1397, 1190,34,2191,411,77,1847,1250,3113,2192,387,2777,1645,689,2669,979,2751,2638,1129,344,2475,2115,2300,2759,2169,2876,2490,2079,3080,2110,813,3136,1667,2005,1909,2079,962,313,2727,1314,2821,2640,375,2545,1005,1739,2902,2549,1544,358,2063,1320,155,1445,41,286,2004,1870,2496,2465,466,13,2065,1759,2022,2115,1049,3070,2096,1514,2604,1905,883,529,2159,1195,2606,2143,1014,3104,2285,2225,2363,377,1579,407,2220,2099,2995,2179,1219,268,2851,3205,2426,3134,1927,1374,182,2424,543,334,1236,1218,2732,3181,797,644,2902,1676,3214,314,1414,3295,2589,2003,654,125,927,1281,3104,1968,1297,854,1910,958,3205,2987,910,1099,2044,1548,752,37,2730,1597,2437,2611,452, 302,2536,2289,3093,3337,2061,1358,22,3112,739,2838,1611,1858,755,1001,3274,695,3180,2522,1125,850,1677,1253,3293,2779,1557,1444,2165,1980,921,270,1496,1712,408,2070,1666,375,2692,123,3218,679,2124,1337,49,3273,1241,310,2744,2525,661,1852,2134,1793,997,3355,3011,739,2371,2307,1152,3324,2632,3018,535,416,2495,1956,63,461,1918,400,3078,3045,663,1814,2077,2053,824,255,2826,1542,3236,133,1564,805,2925,2603,943,64,230,2331,632,749,2387,2014,52,2953,1456,2550,2565,3252,1900,86,3193,2830,1021,160,2384,2867,50,1125,2326,1496,699,3246,2241,1906,117,2803,1418,622,179,3139,722,1387,2766,2611,422,1226,2665,1560,335,493,2264,3072,3208,17,1997,1777,658,299,1098,1557,3315,2660,1628,2309,2427,3196, 1966,1745,3177,2812,1776,3335,2683,1943,2086,1510,2109,2772,1257,536,3093,2332,552,3188,2995,2397,1077,1908,2445,1898,1091,50,2596,1984,3270,149,2057,1786,359,1025,1938,1788,660,3376,2355,1998,441,2816,2192,2276,272,1213,1202,1136,605,3327,3322,2125,3475,3273,2234,1046,266,1030, 577,1290,980,1001,2819,2914,473,3393,2279,2135,1514,693,590,1766,1445,208,2974,2578,3451,3031,2797,2546,1145,1712,2681,1665,1465,1188,195,2766,402,270,2259,2024,652,2511,2712,2766,1879,1737,3543,417,1518,243,271,2267,2078,3575,2509,3482,2558,1744,804,733,1076,1748,1152,654,1917,3311,1115,285,3085,2865,1993,1219,3464,2937,1320,1411,116,128,1457,1304,3417,3406,2237,1932,667,193,2773,2282,728,2288,2873,2823,1519,1572,3365,2778,1375,1164,366,3313,1682,2001,3530,271,3355,2823,748,874,2642,2512,650,425,3494,101,627,1772,1098,809,2807,2231,83,918,2063,2187,944,1139,3634,3660,2325,2362,1054,1029,2627,1988,805,3672,2932,2631,1065,1386,3184,3319,2137,1881,130,115,2726,2092,1623,1889,3022,2852,1720,1626,433,3559,1669,2475,791,173,3413,3539,1026,2070,196,3208,1957,2030,972,3165,3162,2702,1712,2137,3323,3491,2029,2083,977,433,2638,2154,1249,1302,3495,3505,2234,2162,633,627,3212,332,1635,360,380,3293,2364,2856,3637,411,3168,3488,2739,1945,3311,196,2285,2161,648,1590,2348,3073,2983,1103,1362,540,1307,2544,1011,1300,3756,49,2142,2060,1065,710,3180,333,1415,1255,508,3037,183,769,3586,256,3770,399,2888,2130,3594,454,3394,3290,1733,2823,623,1463,2950,3661,1982,2869,3096,3576,3550,2225,2434,2035,2451,3795,2886,2272,1011,969,3057,3201,1956,1877,1347,1950,2864,2743,2510,2037,971,115,2042,3063,1964,1124,391,748,2690,3084,1932,1789,1105,1057,3140,2322,1543,612,3388,1405,1635,1974,2464,2176,1137,3726,2773,2785,1736,1672,3623,1384,2366,2625,2409,1679,474,840,2641,2560,1136,2281,336,199,1669,2202,1762,1542,386,3777,3226,3015,1762,2110,192,522,3387,2643,2482,2219,295,3845,2276,2874,1892,1441,1234,764,3026,598,3014,3345,1090,2088,3419,3375,1420,1648,1935,2587,3098,374,3779,2570,2196,2164,3532,793,2842,2715,2274,2688,1097,1312,266,3640,2051,3376,1321,981,568,3813,3100,3424,941,2310,493,42,3918,3354,2460,2178, 750,1145,3862,710,2646,1839,1614,2081,526,895,2207,2453,1629,1715,1324,1018,2608,391,2843,2785,1936,2082,1239,2925,3268,3195,2478,3126,3031,984,887,3743,49,2579,1304,2396,23,486,2966,73,1701,2257,2142,2199,891,1525,2586,2910,2256,2745,860,880,2521,3649,3471,3135,3084,2671,546,87,3544,2944,2971,575,1254,497,411,1038,3763,3959,1760,2713,498,1205,1339,1644,2578,12,2565,2782,1885,1327,3883, 3883,80,8,3006,3551,647,1441,785,847,783,3555,2198,2160,2129,1306,1503,791,2592,3550,3199,3227,2478,2271,1042,3768,3473,3914,2527,37,1166,2612,787,958,1434,1595,2681,2743,2720,1875,691,2034,3763,620,186,3762,3400,2421,1356,1926,208,907,3186,797,2295,3121,2616,2045,1013,2442,72,3794,3316,3594,3046,93,597,1409,691,1350,1015,419,3286,3372,1284,2695,1241,2618,63,4059,694,890,3176,3960,2007,1574,1131,2361,1053,455,2968,260,2705,3252,1734,2375,658,1138,1143,763,3584,68,2511,2870,2289,3144,821,1334,3415,620,3650,3180,3332,3775,1691,2199,1886,787,3845,839,3900,3276,2458,2303,2409,3539,3682,1952,4098,870,728,79,2596,2670,1842,1664,939,2654,20,1246,1087,1154,811,11,2771,1423,1841,1948,2463,1463,3199,647,4074,4020,3674,292,2572,3634,3097,2811,422,2618,3713,3582,76,3203,3993,3272,1769,3043,1527,1571,947,1793,2909,1163,4184,431,3312,4128,2322,2243,1069,1782,1175,3326,2361,939,3918,1193,3507,3662,1494,2574,1085,2075,1818,2938,1054,1155,970,1067,3656,892,2098,2244,2874,1917,2738,3069,713,1514,473,221,723,294,2253,3056,2751,2958,2440,3053,1460,1145,384,1357,1645,383,3860,3743,2912,3216,2235,3720,973,3041,1816,2418,1744,2229,581,3733,4135,999,3392,1921,1724,3551,3161,3118,3401,2998,1247,2306,890,1374,398,2199,3007,119,3842,4228,2784,3435,2949,2875,2117,2254,1693,1870,3784,445,438,4266,229,1513,3454,83,3448,3470,1784,3899,2620,2477,1759,2552,3017,1698,130,982,54,197,413,968,3227,339,3834,206,2824,3149,1923,1848,1411,2344,1446, 3215,430,992,1051,920,354,1519,3404,769,4051,3301,2578,62,2792,3354,1989,3405,1569,2228,2170,2149,1306,884,889,2392,3738,1147,791,3867,4046,49,3032,3806,3368,4290,2067,94,1623,2950,1658,1835,2689,1938,629,1445,896,255,624,1508,51,1278,900,254,4071,862,3624,2468,3137,3690,3487,4292,941,2471,3659,2508,2303,2513,1561,1562,871,1010,554,1022,3432,4382,1188,1806,3953,1954,4104,19,2724,3839,3749,93,1861,3775,3650,3640,2611,2906,605,2845,1897,2804,2184,3946,2436,2058,968,1543,1332,1663,4048,1024,26,117,471,1273,3795,696,4172,4320,3314,449,3275,3591,3277,3134,3676,1364,1718,3057,2725,3246,3816,3371,1569,2426,2118,2721,1673,3621,1457,2444,2399,2364,2496,2741,1465,1487,436,1465,2383,2215,3778,785,597,698,327,1233,4260,4270,202,457,577,1181,3505,364,63,245,225,191,3156,434,3760,4299,3674,4011,2606,3711,3319,3609,3283,4462,3687,3806,2693,3064,2826,154,2010,3110,3191,3758,3632,4292,2444,3138,2140,3348,1858,3831,2438,2367,3168,2933,2749,4019,2292,2895,2131,2752,2217,2656,1606,2645,2175,3015,1520,3204,1970,1744,1776,2650,1921,4503,1880,1937,1760,2785,1803,1355,416,1920,1294,1548,1557,2569,973,3083,2432,3112,1502,2971,1050,1319,2197,856,2557,4053,4525,3183,1908,2915,2638,2203,1162,2446,1924,3945,1338,3064,2041,2874,2712,2581,2244,3442,2539,2589,2279,2669,2146,3609,1626,3350,2469,2625,2143,3895,2448,3163,2011,2997,2849,4487,2330,2728,3142,2977,3665,4256,2465,3838,2914,4461,3435,4116,1792,197,3590,4549, 4243,567,3787,3932,3184,4386,180,1526,1786,1090,245,818,1178,884,3144,728,4091,677,4581,1832,359,1863,1044,1581,1405,2629,1031,1418,1987,1135,1561,2771,916,2319,1353,2438,1563,3414,1259,2831,1804,3032,2719,333,2761,2519,3868,3436,144,4223,1034,4124,3340,4388,44,1137,3503,1091,4075,646,207,1172,93,488,99,2003,1354,1876,4393,1069,1595,1961,2159,3238,1300,2984,2159,2737,2766,4624,1394,3286,3895,4528,3371,886,3215,3412,3977,335,4501,1205,2767,1331,664,1263,2035,2250,656,1625,1048,2255,1689,3440,1434,3102,3103,3131,3195,4114,1790,2874,3032,4176,3533,4706,3559,338,387,403,282,1874,456,991,453,1553,1375,4400,382,2266,2398,3045,3296,3311,2194,3652,3150,3991,3659,940,2998,1226,143,321,49,1594,1129,674,1748,1702,2164,2510,97,4079,2516,2562,3878,3376,2672,2967,4528,209,4473,1654,3762,51,729,1405,282,1068,413,1116,2218,2058,2042,2572,2483,4022,3495,3892,4663,1383,3523,4332,4246,542,483,2985,4166,1199,2875,2643,2786,3481,2313,3942,1062,3066,2597,333,3029,57,510,2078,810,1818,795,1142,353,2183,2621,3463,4672,2725,2648,3722,3915,199,3633,133,458,566,900,3013,920,1087,1085,2555,2990,3416,1570,3751,2494,4312,4607,1977,3911,1809,200,640,1231,2794,1527,1123,1988,2961,3272,4836,1421,33,3710,1205,1258,639,4147,1734,1347,2620,2497,4449,2519,4180,2921,4713,4871,1190,1420,462,822,1474,1569,2781,1012,2658,2043,2832,4511,4871,3378,3941,31,416,501,2912,769,1045,2162,3704,3558,3095,2971,4284,3292,4843,4483,1922,4381,2068,2575,3265,2536,3763,2632,3185,4375,770,4562,2405,3129,1049,1227,2996,2771,3151,2729,3951,3702,4562,4364,1468,4423,1111,1833,2433,2404,4365,2785,3569,3431,4820,4766,632,3885,2675,1009,2010,2261,4033,2816,3165,3747,3587,3737,2101,4452,1477,1858,3158,2898,3270,1863,3820,3496,3489,986,1809,308,1158,1893,3378,2392,3700,2532,2865,4966,4357,4816,2384,260,1850,1288,2891,4642,2998,3258,3804,4212,529,4696,3575,1443,1939,4077,3739,3503,1233,4964,3977,68 }; int main() { int t,n; scanf("%d",&t); // freopen("out.txt","w",stdout); while(t--) { scanf("%d",&n); cout<<a[n-1]<<"\n"; } return 0; }
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