{"id":1576,"date":"2020-05-19T20:00:19","date_gmt":"2020-05-19T12:00:19","guid":{"rendered":"http:\/\/149.129.74.185\/?p=1576"},"modified":"2020-05-19T20:00:19","modified_gmt":"2020-05-19T12:00:19","slug":"patbasic1005%e7%bb%a7%e7%bb%ad3n1%e7%8c%9c%e6%83%b3-25%e5%88%86","status":"publish","type":"post","link":"http:\/\/www.magicmipamipa.com\/?p=1576","title":{"rendered":"PAT(Basic)1005\u7ee7\u7eed(3n+1)\u731c\u60f3\u00a0(25\u5206)"},"content":{"rendered":"
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1005\u00a0<\/span>\u7ee7\u7eed(3n+1)\u731c\u60f3\u00a0<\/span>(25\u5206)<\/h2>\n<\/div>\n
<\/div>\n<\/div>\n
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\u5361\u62c9\u5179(Callatz)\u731c\u60f3\u5df2\u7ecf\u57281001\u4e2d\u7ed9\u51fa\u4e86\u63cf\u8ff0\u3002\u5728\u8fd9\u4e2a\u9898\u76ee\u91cc\uff0c\u60c5\u51b5\u7a0d\u5fae\u6709\u4e9b\u590d\u6742\u3002<\/p>\n

\u5f53\u6211\u4eec\u9a8c\u8bc1\u5361\u62c9\u5179\u731c\u60f3\u7684\u65f6\u5019\uff0c\u4e3a\u4e86\u907f\u514d\u91cd\u590d\u8ba1\u7b97\uff0c\u53ef\u4ee5\u8bb0\u5f55\u4e0b\u9012\u63a8\u8fc7\u7a0b\u4e2d\u9047\u5230\u7684\u6bcf\u4e00\u4e2a\u6570\u3002\u4f8b\u5982\u5bf9\u00a0<\/span><\/span><\/span>n<\/span>=<\/span>3<\/span><\/span><\/span><\/span>\u00a0<\/span>\u8fdb\u884c\u9a8c\u8bc1\u7684\u65f6\u5019\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97 3\u30015\u30018\u30014\u30012\u30011\uff0c\u5219\u5f53\u6211\u4eec\u5bf9\u00a0<\/span><\/span><\/span>n<\/span>=<\/span>5<\/span><\/span><\/span><\/span>\u30018\u30014\u30012 \u8fdb\u884c\u9a8c\u8bc1\u7684\u65f6\u5019\uff0c\u5c31\u53ef\u4ee5\u76f4\u63a5\u5224\u5b9a\u5361\u62c9\u5179\u731c\u60f3\u7684\u771f\u4f2a\uff0c\u800c\u4e0d\u9700\u8981\u91cd\u590d\u8ba1\u7b97\uff0c\u56e0\u4e3a\u8fd9 4 \u4e2a\u6570\u5df2\u7ecf\u5728\u9a8c\u8bc13\u7684\u65f6\u5019\u9047\u5230\u8fc7\u4e86\uff0c\u6211\u4eec\u79f0 5\u30018\u30014\u30012 \u662f\u88ab 3\u201c\u8986\u76d6\u201d\u7684\u6570\u3002\u6211\u4eec\u79f0\u4e00\u4e2a\u6570\u5217\u4e2d\u7684\u67d0\u4e2a\u6570\u00a0<\/span><\/span><\/span>n<\/span><\/span><\/span><\/span>\u00a0<\/span>\u4e3a\u201c\u5173\u952e\u6570\u201d\uff0c\u5982\u679c\u00a0<\/span><\/span><\/span>n<\/span><\/span><\/span><\/span>\u00a0<\/span>\u4e0d\u80fd\u88ab\u6570\u5217\u4e2d\u7684\u5176\u4ed6\u6570\u5b57\u6240\u8986\u76d6\u3002<\/p>\n

\u73b0\u5728\u7ed9\u5b9a\u4e00\u7cfb\u5217\u5f85\u9a8c\u8bc1\u7684\u6570\u5b57\uff0c\u6211\u4eec\u53ea\u9700\u8981\u9a8c\u8bc1\u5176\u4e2d\u7684\u51e0\u4e2a\u5173\u952e\u6570\uff0c\u5c31\u53ef\u4ee5\u4e0d\u5fc5\u518d\u91cd\u590d\u9a8c\u8bc1\u4f59\u4e0b\u7684\u6570\u5b57\u3002\u4f60\u7684\u4efb\u52a1\u5c31\u662f\u627e\u51fa\u8fd9\u4e9b\u5173\u952e\u6570\u5b57\uff0c\u5e76\u6309\u4ece\u5927\u5230\u5c0f\u7684\u987a\u5e8f\u8f93\u51fa\u5b83\u4eec\u3002<\/p>\n

\u8f93\u5165\u683c\u5f0f\uff1a<\/h3>\n

\u6bcf\u4e2a\u6d4b\u8bd5\u8f93\u5165\u5305\u542b 1 \u4e2a\u6d4b\u8bd5\u7528\u4f8b\uff0c\u7b2c 1 \u884c\u7ed9\u51fa\u4e00\u4e2a\u6b63\u6574\u6570\u00a0<\/span><\/span><\/span>K<\/span><\/span><\/span><\/span>\u00a0<\/span>(<\/span><\/span><<\/span>1<\/span>0<\/span>0<\/span><\/span><\/span><\/span>)\uff0c\u7b2c 2 \u884c\u7ed9\u51fa\u00a0<\/span><\/span><\/span>K<\/span><\/span><\/span><\/span>\u00a0<\/span>\u4e2a\u4e92\u4e0d\u76f8\u540c\u7684\u5f85\u9a8c\u8bc1\u7684\u6b63\u6574\u6570\u00a0<\/span><\/span><\/span>n<\/span><\/span><\/span><\/span>\u00a0<\/span>(<\/span><\/span>1<\/span><<\/span>n<\/span>\u2264<\/span>1<\/span>0<\/span>0<\/span><\/span><\/span><\/span>)\u7684\u503c\uff0c\u6570\u5b57\u95f4\u7528\u7a7a\u683c\u9694\u5f00\u3002<\/p>\n

\u8f93\u51fa\u683c\u5f0f\uff1a<\/h3>\n

\u6bcf\u4e2a\u6d4b\u8bd5\u7528\u4f8b\u7684\u8f93\u51fa\u5360\u4e00\u884c\uff0c\u6309\u4ece\u5927\u5230\u5c0f\u7684\u987a\u5e8f\u8f93\u51fa\u5173\u952e\u6570\u5b57\u3002\u6570\u5b57\u95f4\u7528 1 \u4e2a\u7a7a\u683c\u9694\u5f00\uff0c\u4f46\u4e00\u884c\u4e2d\u6700\u540e\u4e00\u4e2a\u6570\u5b57\u540e\u6ca1\u6709\u7a7a\u683c\u3002<\/p>\n

\u8f93\u5165\u6837\u4f8b\uff1a<\/h3>\n
6\r\n3 5 6 7 8 11\r\n<\/code><\/pre>\n
\u8f93\u51fa\u6837\u4f8b\uff1a<\/h3>\n
7 6<\/code><\/pre>\n
\n
\u89e3\u9898\u601d\u8def\uff1a\u6211\u4eec\u79f0\u4e00\u4e2a\u6570\u5217\u4e2d\u7684\u67d0\u4e2a\u6570\u00a0<\/span><\/span><\/span>n<\/span><\/span><\/span><\/span>\u00a0<\/span>\u4e3a\u201c\u5173\u952e\u6570\u201d\uff0c\u5982\u679c\u00a0<\/span><\/span><\/span>n<\/span><\/span><\/span><\/span>\u00a0<\/span>\u4e0d\u80fd\u88ab\u6570\u5217\u4e2d\u7684\u5176\u4ed6\u6570\u5b57\u6240\u8986\u76d6\u3002<\/code>\u662f\u8fd9\u9053\u9898\u7684\u89e3\u9898\u5173\u952e\uff0c\u6211\u7684\u601d\u8def\u662f\u5148\u627e\u5230\u53ef\u4ee5\u8986\u76d6\u7684\u6570\u5b57\uff0c\u518d\u5728\u6574\u4e2a\u96c6\u5408\u91cc\u53d6\u53cd\u3002\u7528\u96c6\u5408\u53ef\u4ee5\u5f88\u5feb\u7684\u627e\u5230\u4e00\u4e2a\u6570\u662f\u5426\u5728\u96c6\u5408\u4e2d\uff0c\u800c\u4e14\u4e0d\u9700\u8981\u81ea\u5df1\u624b\u52a8\u6392\u5e8f\u3002\u8fd9\u9053\u9898\u4e3b\u8981\u7528\u4e86SET\u7684STL\uff0c\u51e0\u4e2a\u6bd4\u8f83\u91cd\u8981\u7684\u51fd\u6570\uff1a<\/p>\n
set.insert()<\/code> \u7528\u4e8e\u63d2\u5165<\/p>\n
set.find() != std::end(set)<\/code> \u7528\u4e8e\u5224\u65ad\u662f\u5426\u5b58\u5728<\/p>\n
for (auto i = final.rbegin(); i != final.rend(); i ++ )<\/code> \u7528\u4e8e\u96c6\u5408\u7684\u5012\u5e8f\u904d\u5386<\/p>\n
\n
AC\u4ee3\u7801\uff1a<\/p>\n
<\/p>\n
#include <iostream>\r\n#include <set>\r\n#include <set>\r\nusing namespace std;\r\nset<int> total;\r\nset<int> ans;\r\nset<int> final;\r\nvoid check( int n ) {\r\n    while (n != 1) {\r\n        if (n % 2 == 1) {\/\/\u5947\u6570\r\n            n = (3*n + 1) \/ 2;\r\n            if (total.find(n) != std::end(total)) ans.insert(n);\r\n        }\r\n        else {\r\n            n = n \/ 2;\r\n            if (total.find(n) != std::end(total)) ans.insert(n);\r\n        }\r\n    }\r\n}\r\nint main()\r\n{\r\n    int N;\r\n    cin >> N;\r\n    for (int i = 0; i < N; i++) {\r\n        int num;\r\n        cin >> num;\r\n        total.insert(num);\r\n    }\r\n    for (auto num : total) {\r\n        check(num);\r\n    }\r\n    for (auto num : total) {\r\n        if (ans.find(num) == std::end(ans)) final.insert(num);\r\n    }\r\n    int count = 0;\r\n    for (auto i = final.rbegin(); i != final.rend(); i ++ ) {\r\n        cout << *i;\r\n        count++;\r\n        if (count != final.size()) cout << \" \";\r\n    }\r\n    std::cout << \"Hello World!\\n\";\r\n}<\/pre>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
1005\u00a0\u7ee7\u7eed(3n+1)\u731c\u60f3\u00a0(25\u5206) \u5361\u62c9\u5179(Callatz)\u731c\u60f3\u5df2\u7ecf\u57281001\u4e2d\u7ed9\u51fa\u4e86\u63cf\u8ff0\u3002 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[16,17,41],"tags":[],"_links":{"self":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts\/1576"}],"collection":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1576"}],"version-history":[{"count":1,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts\/1576\/revisions"}],"predecessor-version":[{"id":1577,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=\/wp\/v2\/posts\/1576\/revisions\/1577"}],"wp:attachment":[{"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1576"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.magicmipamipa.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}