{"id":344,"date":"2021-08-23T16:37:15","date_gmt":"2021-08-23T08:37:15","guid":{"rendered":"http:\/\/blog.nonot.cn\/?p=344"},"modified":"2021-08-23T16:37:15","modified_gmt":"2021-08-23T08:37:15","slug":"t","status":"publish","type":"post","link":"https:\/\/blog.nonot.cn\/index.php\/2021\/08\/23\/t\/","title":{"rendered":"\u3010C++\u3011\u91cd\u70b9\u6392\u5e8f\u7b97\u6cd5\u89e3\u6790"},"content":{"rendered":"

\"\"<\/h2>\n

\u4e00\uff0c\u63d2\u5165\u6392\u5e8f<\/h2>\n

\u63d2\u5165\u6392\u5e8f\u57fa\u672c\u601d\u60f3\uff1a<\/h3>\n

\u5728\u4e00\u4e2a\u5df2\u7ecf\u6709\u5e8f\u7684\u5e8f\u5217\u91cc\u63d2\u5165\u65b0\u7684\u5143\u7d20\uff0c\u76f4\u5230\u6709\u5e8f\u5e8f\u5217\u5305\u542b\u6240\u6709\u88ab\u6392\u5e8f\u5143\u7d20\u3002<\/p>\n

\u4f8b\u5b50\uff1a<\/h3>\n

\"\"<\/p>\n

\u4ee3\u7801\u5b9e\u73b0\uff1a<\/h3>\n
\"\"\u00a0View Code<\/span><\/div>\n
\n
void InsertSort(vector<int> &v)\n{\n    for(int i = 1;i < v.size(); ++i)\/\/i\u8868\u793a\u6709\u5e8f\u96c6\u5408\u91cc\u7684\u5143\u7d20\u6570\u76ee\u548c\u5f85\u63d2\u5165\u5143\u7d20\u4e0b\u6807\n    {\n        for(int j = i; j > 0 && v[j-1] > v[j]; --j)\n        {\n            int temp = v[j-1];\n            v[j-1] = v[j];\n            v[j] = temp;\n        }\n    }\n}<\/pre>\n<\/div>\n
<\/div>\n
\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO\uff08N^2\uff09<\/p>\n
\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO\uff081\uff09<\/p>\n
\u63d2\u5165\u6392\u5e8f\u5728\u5c0f\u89c4\u6a21\u6570\u636e\u65f6\u6216\u8005\u57fa\u672c\u6709\u5e8f\u65f6\u6bd4\u8f83\u9ad8\u6548\u3002<\/p>\n
\u4e8c\uff0c\u5e0c\u5c14\u6392\u5e8f<\/h2>\n
\u5e0c\u5c14\u6392\u5e8f\u57fa\u672c\u601d\u60f3\uff1a<\/h3>\n
\u5e0c\u5c14\u6392\u5e8f\u662f\u628a\u8bb0\u5f55\u6309\u4e0b\u6807\u7684\u4e00\u5b9a\u589e\u91cf\u5206\u7ec4\uff0c\u5bf9\u6bcf\u7ec4\u4f7f\u7528\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u7b97\u6cd5\u6392\u5e8f\uff1b\u968f\u7740\u589e\u91cf\u9010\u6e10\u51cf\u5c11\uff0c\u6bcf\u7ec4\u5305\u542b\u7684\u5173\u952e\u8bcd\u8d8a\u6765\u8d8a\u591a\uff0c\u5f53\u589e\u91cf\u51cf\u81f31\u65f6\uff0c\u6574\u4e2a\u6587\u4ef6\u6070\u88ab\u5206\u6210\u4e00\u7ec4\uff0c\u7b97\u6cd5\u4fbf\u7ec8\u6b62\u3002\u672c\u8d28\u4e0a\u662f\u5206\u7ec4\u63d2\u5165\u6392\u5e8f\u3002<\/strong><\/p>\n
\u4f8b\u5b50\uff1a<\/h3>\n
\"\"<\/p>\n
\u5728\u53d6\u589e\u91cfd\u7684\u65f6\u5019\u4e00\u822c\u6709\u4ee5\u4e0b\u8981\u6c42\uff1a<\/p>\n
\u2460\u6700\u540e\u4e00\u6b21\u6392\u5e8fd = 1\uff1b<\/p>\n
\u2461\u6bcf\u6b21\u53d6\u7684d\u5e76\u4e0d\u5305\u542b\u59041\u4ee5\u5916\u7684\u516c\u56e0\u5b50\uff1b<\/p>\n
\u2462\u91c7\u7528\u7f29\u5c0f\u589e\u91cf\u6cd5\uff0cd\u7684\u53d6\u503c\u9010\u6b65\u7f29\u5c0f\u3002<\/p>\n
\u4ee3\u7801\u5b9e\u73b0\uff1a<\/h3>\n
\"\"\u00a0View Code<\/span><\/div>\n
\n
void ShellSort(vector<int> &v)\n{\n    int k = 0;\n    int t = v.size() - 1;\n    int delta = 2*t - k - 1;\/\/\u6709\u7814\u7a76\u8868\u660e\uff0cdelta\u53d62*t-k-1\u65f6\u65f6\u95f4\u590d\u6742\u5ea6\u53ef\u8fbeO\uff08N^1.5\uff09 \n    for(k = 0;k < v.size(); ++k)\n    {\n        delta = (2*t-k-1) == t?(2*t-k-1):1;\/\/\u6700\u540e\u4e00\u6b21delta\u8981\u53d61\n        for(int i = 0; i < v.size()-delta; ++i)\n        {\n            if(v[i] > v[i+delta])\n            {\n                int temp = v[i];\n                v[i] = v[i+delta];\n                v[i+delta] = temp;\n            }\n        }\n    }\n}<\/pre>\n<\/div>\n
<\/div>\n
\u5e0c\u5c14\u6392\u5e8fdelta\u5f00\u59cb\u4f1a\u5f88\u5927\uff0c\u6240\u4ee5\u8be5\u6392\u5e8f\u4e0d\u7a33\u5b9a\u3002<\/p>\n
\u5e0c\u5c14\u6392\u5e8f\u7684\u590d\u6742\u5ea6\u4e0edelta\u76f8\u5173\uff1a<\/p>\n
{1,2,4,8,…}\u4f7f\u7528\u8fd9\u4e2a\u589e\u91cf\u5e8f\u5217\u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff08\u6700\u574f\u60c5\u5f62\uff09\u662fO(N^2)<\/p>\n
\u4ee3\u7801\u4e2d\u6240\u7ed9\u5e8f\u5217\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u65f6O\uff08N^1.5\uff09<\/p>\n
\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO\uff081\uff09<\/p>\n
\u5e0c\u5c14\u6392\u5e8f\u4e3a\u63d2\u5165\u6392\u5e8f\u7684\u4e00\u79cd\u4f18\u5316\uff0c\u5176\u9002\u7528\u8303\u56f4\u4e3a\uff1a\u5927\u89c4\u6a21\u4e14\u65e0\u5e8f\u7684\u6570\u636e\u3002<\/p>\n
\u4e09\uff0c\u5192\u6ce1\u6392\u5e8f<\/h2>\n
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\u5c06\u7b2c\u4e00\u4e2a\u8bb0\u5f55\u7684\u5173\u952e\u5b57\u4e0e\u7b2c\u4e8c\u4e2a\u8bb0\u5f55\u7684\u5173\u952e\u5b57\u8fdb\u884c\u6bd4\u8f83\uff0c\u82e5\u9006\u5e8f\u5219\u4ea4\u6362\uff1b\u7136\u540e\u6bd4\u8f83\u7b2c\u4e8c\u4e2a\u8bb0\u5f55\u4e0e\u7b2c\u4e09\u4e2a\u8bb0\u5f55\uff1b\u4f9d\u6b21\u7c7b\u63a8\uff0c\u76f4\u81f3\u7b2cn-1\u4e2a\u8bb0\u5f55\u548c\u7b2cn\u4e2a\u8bb0\u5f55\u6bd4\u8f83\u4e3a\u6b62\u2014\u2014\u7b2c\u4e00\u8d9f\u5192\u6ce1\u6392\u5e8f\uff0c\u7ed3\u679c\u5173\u952e\u5b57\u6700\u5927\u7684\u8bb0\u5f55\u88ab\u5b89\u7f6e\u5728\u6700\u540e\u4e00\u4e2a\u8bb0\u5f55\u4e0a\u3002<\/p>\n
\u5bf9\u524dn-1\u4e2a\u8bb0\u5f55\u8fdb\u884c\u7b2c\u4e8c\u8d9f\u5192\u6ce1\u6392\u5e8f\uff0c\u7ed3\u679c\u4f7f\u5173\u952e\u5b57\u6b21\u5927\u7684\u8bb0\u5f55\u88ab\u5b89\u7f6e\u5728\u7b2cn-1\u4e2a\u8bb0\u5f55\u4f4d\u7f6e\u3002\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b\uff0c\u76f4\u5230\u5728\u4e00\u8d9f\u6392\u5e8f\u8fc7\u7a0b\u4e2d\u6ca1\u6709\u8fdb\u884c\u8fc7\u4ea4\u6362\u64cd\u4f5c\u201d\u4e3a\u6b62\u3002<\/p>\n
\u4f8b\u5b50\uff1a<\/h3>\n
\u3000\u3000\"\"<\/strong><\/p>\n
\u4ee3\u7801\u5b9e\u73b0\uff1a<\/h3>\n
\"\"\u00a0View Code<\/span><\/div>\n
\n
void BubbleSort(vector<int> &v)\n{\n    for(int i = 0; i < v.size(); ++i)\n    {\n        for(int j = 0;j < v.size() - i; ++j)\n        {\n            if(v[j] < v[j-1])\n            {\n                int temp = v[j];\n                v[j] = v[j-1];\n                v[j-1] = temp;\n            }\n        }\n    }\n}<\/pre>\n
<\/div>\n
<\/div>\n<\/div>\n
<\/div>\n
\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO\uff08N^2)<\/p>\n
\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO\uff081\uff09<\/p>\n
\u5192\u6ce1\u6392\u5e8f\u662f\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5\u3002<\/p>\n
\u56db\uff0c\u5feb\u901f\u6392\u5e8f<\/h2>\n
\u5feb\u901f\u6392\u5e8f\u57fa\u672c\u601d\u60f3\uff1a<\/h3>\n
\u5feb\u901f\u6392\u5e8f\u7684\u672c\u8d28\u662f\u5206\u6cbb\u6cd5<\/strong>\u3002\u4ece\u6570\u5217\u4e2d\u6311\u51fa\u4e00\u4e2a\u5143\u7d20\uff0c\u79f0\u4e3a \u201c\u57fa\u51c6\u201d\uff08pivot\uff09 \u5206\u533a\uff08partition\uff09\uff1a\u5c06\u5e8f\u5217\u5206\u533a\uff0c\u4f7f\u6240\u6709\u5143\u7d20\u6bd4\u57fa\u51c6\u503c\u5c0f\u7684\u653e\u5728\u57fa\u51c6\u524d\u9762\uff0c\u6240\u6709\u5143\u7d20\u6bd4\u57fa\u51c6\u503c\u5927\u7684\u653e\u5728\u57fa\u51c6\u7684\u540e\u9762\uff08\u76f8\u7b49\u7684\u6570\u53ef\u4ee5\u5230\u4efb\u4e00\u8fb9\uff09(Divide) \u6392\u5e8f\uff1a\u9012\u5f52\u5730\uff08recursive\uff09\u628a\u5c0f\u4e8e\u57fa\u51c6\u503c\u5143\u7d20\u7684\u5b50\u6570\u5217\u548c\u5927\u4e8e\u57fa\u51c6\u503c\u5143\u7d20\u7684\u5b50\u6570\u5217\u6392\u5e8f(Conquer)\u3002\u6bcf\u6b21\u9012\u5f52\u90fd\u4f1a\u628a\u57fa\u51c6\u653e\u5728\u6b63\u786e\u7684\u4f4d\u7f6e\uff0c\u5373\u6bcf\u6b21\u9012\u5f52\u90fd\u6392\u597d\u4e00\u4e2a\u5143\u7d20\uff0c\u5e76\u5c06\u5c0f\u4e8e\u8fd9\u4e2a\u5143\u7d20\u7684\u653e\u5de6\u8fb9\uff0c\u5927\u4e8e\u8fd9\u4e2a\u5143\u7d20\u7684\u653e\u53f3\u8fb9\u3002<\/p>\n
\u4f8b\u5b50\uff1a<\/h3>\n
\u3000\u3000<\/strong>\u8bb0low\u4e3a\u8d77\u59cb\u4f4d\u7f6e\uff0chigh\u4e3a\u672b\u4f4d\u7f6e\u3002\u57fa\u51c6\u4e00\u822c\u53d6R[low]\uff0cR[high]\uff0cR[(low+high)\/2]\u5904\u4e8e\u4e2d\u95f4\u5927\u5c0f\u7684\u6570\u3002\u8fd9\u91cc\u53d9\u8ff0\u65b9\u4fbf\uff0c\u76f4\u63a5\u53d6R[0]\u4e3a\u57fa\u51c6\u3002<\/p>\n
\"\"<\/p>\n
\u2460\u9996\u5148\u4ece\u540e\u534a\u90e8\u5206\u5f00\u59cb\uff0c\u5982\u679c\u626b\u63cf\u5230\u7684\u503c\u5927\u4e8e\u57fa\u51c6\u6570\u636e\u5c31\u8ba9high\u51cf1,\u5982\u679c\u53d1\u73b0\u6709\u5143\u7d20\u6bd4\u8be5\u57fa\u51c6\u6570\u636e\u7684\u503c\u5c0f\uff0c\u5c31\u5c06high\u4f4d\u7f6e\u7684\u503c\u8d4b\u503c\u7ed9low\u4f4d\u7f6e\u00a0\u3002<\/p>\n
\"\"<\/p>\n
\u2461\u7136\u540e\u5f00\u59cb\u4ece\u524d\u5f80\u540e\u626b\u63cf,\u5982\u679c\u626b\u63cf\u5230\u7684\u503c\u5c0f\u4e8e\u57fa\u51c6\u6570\u636e\u5c31\u8ba9low\u52a01,\u5982\u679c\u53d1\u73b0\u6709\u5143\u7d20\u5927\u4e8e\u57fa\u51c6\u6570\u636e\u7684\u503c\uff0c\u5c31\u518d\u5c06low\u4f4d\u7f6e\u7684\u503c\u8d4b\u503c\u7ed9high\u4f4d\u7f6e\u7684\u503c,\u6307\u9488\u79fb\u52a8\u5e76\u4e14\u6570\u636e\u4ea4\u6362\u540e\u7684\u7ed3\u679c\u5982\u4e0b:<\/p>\n
\"\"<\/p>\n
\u2462\u7ee7\u7eed\u8fdb\u884c\u4ee5\u4e0a\u6b65\u9aa4\uff0c\u76f4\u5230low >= high \u505c\u6b62\u626b\u63cf\uff0c\u6b64\u65f6\u57fa\u51c6R[0]\u5904\u4e8e\u6b63\u786e\u7684\u4f4d\u7f6e\u4e0a\u3002<\/p>\n
\"\"<\/p>\n
\u2463\u7136\u540e\u9012\u5f52\u7684\u5904\u7406\u5de6\u5b50\u5e8f\u5217\u548c\u53f3\u5b50\u5e8f\u5217\u3002<\/p>\n
\u4ee3\u7801\u5b9e\u73b0\uff1a<\/h3>\n
\"\"\u00a0View Code<\/span><\/div>\n
\n
int Parition(vector<int>&v,int low,int high)\n{\n    int ref = v[low];\n    if(low < high)\n    {\n        while(low < high)\n        {\n            while(low < high && v[high] >= ref)\n            {\n                --high;\n            }\n            v[low] = v[high];\n            while(low < high && v[low] <= ref)\n            {\n                ++low;\n            }\n            v[high] = v[low];\n        }\n        v[low] = ref;\n    }\n    return low;\n}\n\nvoid QSort(vector<int>&v,int low,int high)\n{\n    if(low < high)\n    {\n        int index = Parition(v,low,high);\n        QSort(v,low,index-1);\n        QSort(v,index+1,high);\n    }\n}\n\nvoid QuickSort(vector<int>&v)\n{\n    QSort(v,0,v.size()-1);\n}<\/pre>\n
<\/div>\n<\/div>\n
\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO\uff08NlogN\uff09<\/p>\n
\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a\u6700\u4f18\u7684\u662fO\uff08logN\uff09\uff0c\u6700\u5dee\u7684\u4e3aO\uff08N\uff09<\/p>\n
\u4e0d\u7a33\u5b9a\u3002<\/p>\n
\u4e94\uff0c\u7b80\u5355\u9009\u62e9\u6392\u5e8f<\/h2>\n
\u7b80\u5355\u9009\u62e9\u6392\u5e8f\u57fa\u672c\u601d\u60f3\uff1a<\/h3>\n
\u9996\u5148\u901a\u8fc7n-1\u6b21\u5173\u952e\u5b57\u6bd4\u8f83\uff0c\u4ecen\u4e2a\u8bb0\u5f55\u4e2d\u627e\u51fa\u5173\u952e\u5b57\u6700\u5c0f\u7684\u8bb0\u5f55\uff0c\u5c06\u5b83\u4e0e\u7b2c\u4e00\u4e2a\u8bb0\u5f55\u4ea4\u6362\uff1b<\/p>\n
\u518d\u901a\u8fc7n-2\u6b21\u6bd4\u8f83\uff0c\u4ece\u5269\u4f59\u7684n-1\u4e2a\u8bb0\u5f55\u4e2d\u627e\u51fa\u5173\u952e\u5b57\u6b21\u5c0f\u7684\u8bb0\u5f55\uff0c\u5c06\u5b83\u4e0e\u7b2c\u4e8c\u4e2a\u8bb0\u5f55\u4ea4\u6362\uff1b<\/p>\n
\u91cd\u590d\u4e0a\u8ff0\u64cd\u4f5c\uff0c\u5171\u8fdb\u884cn-1\u8d9f\u6392\u5e8f\u540e\uff0c\u6392\u5e8f\u7ed3\u675f\u3002<\/p>\n
\u4f8b\u5b50\uff1a<\/h3>\n
\u3000\u3000\"\"<\/strong><\/p>\n
\u4ee3\u7801\u5b9e\u73b0\uff1a<\/h3>\n
\"\"\u00a0View Code<\/span><\/div>\n
\n
void SelectSort(vector<int>& v)\n{\n    for(int i = 0; i < v.size(); ++i)\n    {\n        int MIN = v[i],pos = i;;\n        for(int j = i; j < v.size(); ++j)\n        {\n            if(MIN > v[j])\n            {\n                MIN = v[j];\n                pos = j;\n            }\n        }\n        v[pos] = v[i];\n        v[i] = MIN;\n    }\n}<\/pre>\n<\/div>\n
<\/div>\n
\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO\uff08N^2\uff09<\/p>\n
\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO\uff081)<\/p>\n
\u4e0d\u7a33\u5b9a\uff0c\u4ea4\u6362\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u53d1\u751f\u76f8\u540c\u6570\u5b57\u7684\u6b21\u5e8f\u98a0\u5012\u3002<\/p>\n
\u516d\uff0c\u5806\u6392\u5e8f<\/h2>\n
\u5806\u6392\u5e8f\u57fa\u672c\u601d\u60f3\uff1a<\/h3>\n
\u5806\u662f\u4e00\u4e2a\u5177\u6709\u8fd9\u6837\u6027\u8d28\u7684\u5b8c\u5168\u4e8c\u53c9\u6811\uff1a\u6bcf\u4e2a\u975e\u7ec8\u7aef\u7ed3\u70b9\uff08\u8bb0\u5f55\uff09\u7684\u5173\u952e\u5b57\u5927\u4e8e\u7b49\u4e8e\uff08\u5c0f\u4e8e\u7b49\u4e8e\uff09\u5b83\u7684\u5b69\u5b50\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u3002\u5806\u6392\u5e8f\u662f\u5229\u7528\u5806\u7684\u7279\u6027\u5bf9\u8bb0\u5f55\u5e8f\u5217\u8fdb\u884c\u6392\u5e8f\u7684\u4e00\u79cd\u6392\u5e8f\u65b9\u6cd5\u3002\u5c06\u65e0\u5e8f\u5e8f\u5217\u5efa\u6210\u4e00\u4e2a\u5806\uff0c\u5f97\u5230\u5173\u952e\u5b57\u6700\u5c0f\uff08\u6216\u6700\u5927\uff09\u7684\u8bb0\u5f55\uff1b\u8f93\u51fa\u5806\u9876\u7684\u6700\u5c0f\uff08\u5927\uff09\u503c\u540e\uff0c\u4f7f\u5269\u4f59\u7684n-1\u4e2a\u5143\u7d20\u91cd\u53c8\u5efa\u6210\u4e00\u4e2a\u5806\uff0c\u5219\u53ef\u5f97\u5230n\u4e2a\u5143\u7d20\u7684\u6b21\u5c0f\u503c\uff1b\u91cd\u590d\u6267\u884c\uff0c\u5f97\u5230\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002\u56e0\u4e3a\u5806\u662f\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u7528\u6570\u7ec4\u6765\u50a8\u5b58\u3002\u53ea\u8981\u5c06\u9700\u8981\u6392\u5e8f\u7684\u6570\u7ec4\u5efa\u7acb\u6210\u5806\uff0c\u7136\u540e\u6bcf\u6b21\u53d6\u51fa\u6839\u7ed3\u70b9\uff0c\u5c31\u628a\u5269\u4e0b\u7684\u7ed3\u70b9\u8c03\u6574\u6210\u5806\uff1b\u518d\u53d6\u51fa\u6839\u7ed3\u70b9\uff0c\u5982\u6b64\u4e0b\u53bb\uff0c\u6700\u540e\u4fbf\u80fd\u5f97\u5230\u6392\u597d\u5e8f\u7684\u6570\u636e\u3002<\/p>\n
\u4f8b\u5b50\uff1a<\/strong><\/h3>\n
\u5efa\u5806\uff1a<\/p>\n
\u7ed9\u5b9a\u9700\u8981\u6392\u5e8f\u76846\u4e2a\u6570\u5b57\uff1a<\/p>\n
\"\"<\/p>\n
\u2460\u4fdd\u8bc1[0,0]\u8303\u56f4\u5185\u662f\u4e2a\u6700\u5927\u5806\uff0c12\u672c\u8eab\u662f\u4e2a\u5806\u3002<\/p>\n
\u2461\u4fdd\u8bc1[0,1]\u8303\u56f4\u5185\u662f\u4e2a\u6700\u5927\u5806\uff0c\u56e0\u4e3a34 > 12\uff0c12\u572834\u7684\u7236\u8282\u70b9\u4e0a\uff0c\u6240\u4ee5\u9700\u8981\u8c03\u636212\u548c34<\/p>\n
\"\"<\/p>\n
\u2462\u518d\u4fdd\u8bc1[0,3]\u5185\u662f\u4e2a\u6700\u5927\u5806\uff0c12 54\u90fd\u662f34\u7684\u513f\u5b50\uff0c\u6240\u4ee5\u8c03\u636234\u548c54<\/p>\n
\"\"<\/p>\n
\u2463\u91cd\u590d\u4ee5\u4e0a\u6b65\u9aa4\uff0c\u76f4\u5230[0,n-1]\u90fd\u662f\u4e2a\u6700\u5927\u5806<\/p>\n
\u5efa\u5806\u7ed3\u679c\u662f\uff1a<\/p>\n
\"\"<\/p>\n
\u8c03\u6574\u5806\u5e76\u6392\u5e8f\uff1a<\/p>\n
\u6210\u4e3a\u5806\u4ee5\u540e\u90a3\u4e48heap[0]\u4e00\u5b9a\u662f\u8be5\u7ec4\u6570\u7684\u6700\u5927\u503c\/\u6700\u5c0f\u503c\uff08\u8fd9\u91cc\u5efa\u7684\u662f\u6700\u5927\u5806\uff0c\u6240\u4ee5heap[0]\u662f\u6700\u5927\u503c\uff09\u3002<\/p>\n
\u2460\u4ea4\u636263\u548c24\uff0c\u5df2\u77e563\u662f\u6700\u5927\u503c\uff0c\u521963\u5728\u6392\u5e8f\u540e\u7684\u6b63\u786e\u4f4d\u7f6e\u4e0a\uff0c\u6211\u4eec\u5047\u88c5\u6570\u7ec4\u53ea\u6709n-1\u4e2a\u6570\uff0c\u628a63\u8e22\u51fa\u53bb\u3002<\/p>\n
\"\"<\/p>\n
\u2461\u7136\u540e\u5bf9[0,n-2]\u7684\u6240\u4ee5\u6570\u636e\u8fdb\u884c\u8c03\u6574\uff0c\u631124\u5de6\u53f3\u513f\u5b50\u6700\u5927\u7684\u4e0e\u5176\u6bd4\u8f83\uff0c54 > 24\uff0c\u6240\u4ee5\u4ea4\u6362\u4f4d\u7f6e\u3002<\/p>\n
\u7136\u540e12\u548c31\u662f\u4ea4\u6362\u4f4d\u7f6e\u540e\u768424\u7684\u5de6\u53f3\u513f\u5b50\uff0c\u53c8\u56e0\u4e3a31 > 24\u4ea4\u636224\uff0c31\u3002<\/p>\n
\"\"<\/p>\n
\u8fd9\u5df2\u7ecf\u662f\u4e00\u4e2a\u6700\u5927\u5806\u4e86\uff0c\u5c0654\u548c24\u4ea4\u6362\u4f4d\u7f6e\uff08\u9996\u4f4d\u4ea4\u6362\uff09\uff0c54\u5904\u5728\u6b63\u786e\u7684\u4f4d\u7f6e\u4e0a\u3002<\/p>\n
\"\"<\/p>\n
\u7ee7\u7eed\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b\uff0c\u76f4\u5230\u6bcf\u4e2a\u6570\u90fd\u6392\u597d\u3002<\/p>\n
\u4ee3\u7801\u5b9e\u73b0\uff1a<\/h3>\n
\"\"\u00a0View Code<\/span><\/div>\n
\n
void GetHeap(vector<int>& v)\/\/\u5c06\u6570\u7ec4v\u8c03\u6574\u4e3a\u6700\u5927\u5806\n{\n    for(int i = 0; i < v.size(); ++i)\n    {\n        int CurrentIndex = i;\/\/\u65b0\u63d2\u5165\u7684\u7ed3\u70b9\n        int Father = (CurrentIndex - 1) \/ 2;\n        while(v[CurrentIndex] > v[Father])\n        {\n            int temp = v[CurrentIndex];\n            v[CurrentIndex] = v[Father];\n            v[Father] = temp;\n            CurrentIndex = Father;\n            Father = (CurrentIndex - 1) \/ 2;\n        }\n    }\n}\n\nvoid AdjustHeap(vector<int>& v,int index,int size)\/\/\u4ea4\u6362\u9996\u5c3e\u5143\u7d20\u540e\u8c03\u6574\u6700\u5927\u5806\n{\n    int right = 2*index + 2;\n    int left = 2*index + 1;\n    while(left < size)\n    {\n        int LargestIndex;\n        if(v[left] < v[right] && right < size)\n        {\n            LargestIndex = right;\n        }\n        else\n        {\n            LargestIndex = left;\n        }\n        if(v[index] > v[LargestIndex])\n        {\n            LargestIndex = index;\n        }\n        if(index == LargestIndex)\n        {\n            break;\n        }\n        int temp = v[LargestIndex];\n        v[LargestIndex] = v[index];\n        v[index] = temp;\n        index = LargestIndex;\n        left = 2*index + 1;\n        right = 2*index + 2;\n    }\n}\n\nvoid HeapSort(vector<int>& v)\n{\n    GetHeap(v);\n    int size = v.size();\n    while(size > 1)\n    {\n        int temp = v[0];\n        v[0] = v[size - 1];\n        v[size - 1] = temp;\n        --size;\n        AdjustHeap(v,0,size); \n    }\n}<\/pre>\n<\/div>\n
<\/div>\n
\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO\uff08NlogN\uff09<\/p>\n
\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO\uff081\uff09<\/p>\n
\u4e0d\u7a33\u5b9a\u3002<\/p>\n
\u4e03\uff0c\u5f52\u5e76\u6392\u5e8f<\/h2>\n
\u5f52\u5e76\u6392\u5e8f\u57fa\u672c\u601d\u60f3\uff1a<\/h3>\n
\u5f52\u5e76\u2014\u2014\u5c06\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u7684\u6709\u5e8f\u8868\u7ec4\u5408\u6210\u4e00\u4e2a\u65b0\u7684\u6709\u5e8f\u8868\uff0c\u53eb\u5f52\u5e76\u3002<\/p>\n
2-\u8def\u5f52\u5e76\u6392\u5e8f\uff1a\u5c06\u4e24\u4e2a\u4f4d\u7f6e\u76f8\u90bb\u7684\u8bb0\u5f55\u6709\u5e8f\u5b50\u5e8f\u5217\u5f52\u5e76\u4e3a\u4e00\u4e2a\u8bb0\u5f55\u7684\u6709\u5e8f\u5e8f\u5217\u3002<\/p>\n
\u5982\u679c\u8bb0\u5f55\u65e0\u5e8f\u5e8f\u5217 R[s..t] \u7684\u4e24\u90e8\u5206 R[s…(s+t)\/2]\u00a0 \u00a0\u548c\u00a0 \u00a0R[(s+t)\/2+1..t] \u5206\u522b\u6309\u5173\u952e\u5b57\u6709\u5e8f\uff0c \u5219\u5f88\u5bb9\u6613\u5c06\u5b83\u4eec\u5f52\u5e76\u6210\u6574\u4e2a\u8bb0\u5f55\u5e8f\u5217\u662f\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002\u5177\u4f53\u770b\u4f8b\u5b50\u3002<\/p>\n
\u4f8b\u5b50\uff1a<\/h3>\n
\u5bf9\u4e00\u4e2a\u5e8f\u5217\u4e0d\u65ad\u9012\u5f52\uff08\u5206\u6cbb\u6cd5\uff09\uff0c\u7136\u540e\u4e24\u4e24\u5f52\u5e76\u5e76\u6392\u5e8f\u3002<\/p>\n
\"\"<\/p>\n
\u4ee3\u7801\u5b9e\u73b0\uff1a<\/h3>\n
\"\"\u00a0View Code<\/span><\/div>\n
\n
void MergeArray(vector<int> &v, int left, int mid, int right, int temp[])\/\/\u5f52\u5e76\u5e76\u6392\u5e8f\n{\n    int i = left,j = mid+1;\n    int n = mid,m = right;\n    int k = 0;\n\n    while(i <= n && j <= m)\n    {\n        if(v[i] < v[j])\n        {\n            temp[k++] = v[i++];\n        }\n        else\n        {\n            temp[k++] = v[j++];\n        }\n    }\n    while(i <= n)\n    {\n        temp[k++] = v[i++];\n    }\n    while(j <= m)\n    {\n        temp[k++] = v[j++];\n    }\n    for(int i = 0; i < k; ++i)\n    {\n        v[left+i] = temp[i];\n    }\n}\n\nvoid Divide(vector<int>& v,int left,int right,int temp[])\/\/\u5206\u6cbb\n{\n    if(left < right)\n    {\n        int mid = (left+right)\/2;\n        Divide(v,left,mid,temp);\n        Divide(v,mid+1,right,temp);\n        MergeArray(v,left,mid,right,temp);\n    }\n}\n\nbool MergeSort(vector<int>& v)\n{\n    int* temp = new int[v.size()];\n    if(temp == NULL)\n    {\n        return false;\n    }\n    Divide(v,0,v.size()-1,temp);\n    delete [] temp;\n    return true;\n}<\/pre>\n
<\/div>\n<\/div>\n
<\/div>\n
\u65f6\u95f4\u590d\u6742\u5ea6\u975e\u5e38\u7a33\u5b9a\uff0c\u6700\u597d\u548c\u6700\u5dee\u90fd\u662fO\uff08NlogN\uff09<\/p>\n
\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO\uff08N\uff09 \uff08new\u4e86\u4e00\u4e2a\u5927\u5c0f\u4e3an\u7684\u6570\u7ec4\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e00\uff0c\u63d2\u5165\u6392\u5e8f \u63d2\u5165\u6392\u5e8f\u57fa\u672c\u601d\u60f3\uff1a \u5728\u4e00\u4e2a\u5df2\u7ecf\u6709\u5e8f\u7684\u5e8f\u5217\u91cc\u63d2\u5165…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-344","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/posts\/344","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/comments?post=344"}],"version-history":[{"count":0,"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/posts\/344\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/media?parent=344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/categories?post=344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.nonot.cn\/index.php\/wp-json\/wp\/v2\/tags?post=344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}