{"id":59050,"date":"2025-08-16T20:40:13","date_gmt":"2025-08-16T12:40:13","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/59050.html"},"modified":"2025-08-16T20:40:13","modified_gmt":"2025-08-16T12:40:13","slug":"%e4%bb%8e%e5%86%92%e6%b3%a1%e5%88%b0%e5%bf%ab%e9%80%9f%e6%8e%92%e5%ba%8f%ef%bc%9a%e6%8e%a2%e7%b4%a2%e7%bb%8f%e5%85%b8%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95%e7%9a%84%e5%a5%a5%e7%a7%98%ef%bc%88%e4%ba%8c","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/59050.html","title":{"rendered":"\u4ece\u5192\u6ce1\u5230\u5feb\u901f\u6392\u5e8f\uff1a\u63a2\u7d22\u7ecf\u5178\u6392\u5e8f\u7b97\u6cd5\u7684\u5965\u79d8\uff08\u4e8c\uff09"},"content":{"rendered":"<h2>\u5f15\u5165<\/h2>\n<p>\u54c8\u55bd\u5927\u5bb6\u597d&#xff0c;\u6211\u662f\u91ce\u751f\u7684\u7f16\u7a0b\u840c\u65b0&#xff0c;\u9996\u5148\u611f\u8c22\u5927\u5bb6\u7684\u89c2\u770b\u3002\u6570\u636e\u7ed3\u6784\u7684\u5b66\u4e60\u8005\u5927\u591a\u6709\u8fd9\u6837\u7684\u60f3\u6cd5&#xff1a;\u6570\u636e\u7ed3\u6784\u5f88\u91cd\u8981&#xff0c;\u4e00\u5b9a\u8981\u5b66\u597d&#xff0c;\u4f46\u6570\u636e\u7ed3\u6784\u6bd4\u8f83\u62bd\u8c61&#xff0c;\u6709\u4e9b\u7b97\u6cd5\u7406\u89e3\u8d77\u6765\u5f88\u56f0\u96be&#xff0c;\u5b66\u7684\u5f88\u7d2f\u3002\u6211\u60f3\u8ba9\u5927\u5bb6\u77e5\u9053\u7684\u662f&#xff1a;\u6570\u636e\u7ed3\u6784\u975e\u5e38\u6709\u8da3&#xff0c;\u5f88\u591a\u7b97\u6cd5\u662f\u667a\u6167\u7684\u7ed3\u6676&#xff0c;\u6211\u5e0c\u671b\u5927\u5bb6\u5728\u5b66\u4e60\u6570\u636e\u7ed3\u6784\u7684\u8fc7\u7a0b\u662f\u4e00\u79cd\u6109\u60a6\u7684\u5fc3\u60c5\u611f\u53d7\u3002\u56e0\u6b64\u6211\u5f00\u521b\u4e86\u300a\u6570\u636e\u7ed3\u6784\u300b\u4e13\u680f&#xff0c;\u5728\u8fd9\u91cc\u6211\u5c06\u628a\u6570\u636e\u7ed3\u6784\u5185\u5bb9\u4ee5\u6709\u8da3\u6613\u61c2\u7684\u65b9\u5f0f\u5c55\u73b0\u7ed9\u5927\u5bb6\u3002<\/p>\n<h2>1.\u9009\u62e9\u6392\u5e8f<\/h2>\n<h3>1.1\u5f15\u5165<\/h3>\n<p>\u5047\u8bbe\u4f60\u6709\u4e00\u4e2a\u6742\u4e71\u65e0\u7ae0\u7684\u4e66\u67b6&#xff0c;\u4e0a\u9762\u653e\u7740\u4e00\u4e9b\u4e66\u7c4d\u3002\u4f60\u60f3\u8981\u6309\u7167\u4e66\u540d\u7684\u5b57\u6bcd\u987a\u5e8f\u6765\u6574\u7406\u8fd9\u4e9b\u4e66\u7c4d\u3002\u4f60\u53ef\u4ee5\u4f7f\u7528\u9009\u62e9\u6392\u5e8f\u7684\u65b9\u6cd5\u6765\u5b8c\u6210\u8fd9\u4e2a\u4efb\u52a1\u3002\u9996\u5148&#xff0c;\u4f60\u7ad9\u5728\u4e66\u67b6\u524d&#xff0c;\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u67e5\u770b\u6bcf\u4e00\u672c\u4e66\u7684\u4e66\u540d\u3002\u4f60\u7684\u76ee\u6807\u662f\u627e\u5230\u4e66\u540d\u5b57\u6bcd\u987a\u5e8f\u6700\u9760\u524d\u7684\u90a3\u672c\u4e66\u3002\u4f8b\u5982&#xff0c;\u5982\u679c\u4f60\u7684\u4e66\u67b6\u4e0a\u6709\u4ee5\u4e0b\u51e0\u672c\u4e66&#xff1a;<\/p>\n<ul>\n<li>\u300aMoby Dick\u300b<\/li>\n<li>\u300aWar and Peace\u300b<\/li>\n<li>\u300aDon Quixote\u300b<\/li>\n<li>\u300aCrime and Punishment\u300b<\/li>\n<li>\u300aAnna Karenina\u300b<\/li>\n<\/ul>\n<p>\u4f60\u4f1a\u4f9d\u6b21\u67e5\u770b\u8fd9\u4e9b\u4e66\u7684\u4e66\u540d&#xff0c;\u53d1\u73b0\u300aAnna Karenina\u300b\u662f\u5b57\u6bcd\u987a\u5e8f\u6700\u9760\u524d\u7684\u90a3\u672c\u4e66\u3002\u7136\u540e&#xff0c;\u4f60\u5c06\u8fd9\u672c\u4e66\u4ece\u539f\u6765\u7684\u4f4d\u7f6e\u4e0a\u53d6\u4e0b\u6765&#xff0c;\u653e\u5230\u4e66\u67b6\u7684\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\u4e0a\u3002\u63a5\u4e0b\u6765&#xff0c;\u4f60\u5728\u5269\u4e0b\u7684\u4e66\u7c4d\u4e2d\u627e\u5230\u4e66\u540d\u5b57\u6bcd\u987a\u5e8f\u7b2c\u4e8c\u9760\u524d\u7684\u90a3\u672c\u4e66\u3002\u6b64\u65f6&#xff0c;\u4f60\u7684\u4e66\u67b6\u770b\u8d77\u6765\u50cf\u8fd9\u6837&#xff1a;<\/p>\n<ul>\n<li>\u300aAnna Karenina\u300b<\/li>\n<li>\u300aMoby Dick\u300b<\/li>\n<li>\u300aWar and Peace\u300b<\/li>\n<li>\u300aDon Quixote\u300b<\/li>\n<li>\u300aCrime and Punishment\u300b<\/li>\n<\/ul>\n<p>\u4f60\u4f1a\u518d\u6b21\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u67e5\u770b\u5269\u4e0b\u7684\u4e66\u7c4d\u7684\u4e66\u540d&#xff0c;\u53d1\u73b0\u300aCrime and Punishment\u300b\u662f\u5b57\u6bcd\u987a\u5e8f\u7b2c\u4e8c\u9760\u524d\u7684\u90a3\u672c\u4e66\u3002\u7136\u540e&#xff0c;\u4f60\u5c06\u8fd9\u672c\u4e66\u4ece\u539f\u6765\u7684\u4f4d\u7f6e\u4e0a\u53d6\u4e0b\u6765&#xff0c;\u653e\u5230\u4e66\u67b6\u7684\u7b2c\u4e8c\u4e2a\u4f4d\u7f6e\u4e0a\u3002\u4f60\u7ee7\u7eed\u91cd\u590d\u4e0a\u8ff0\u6b65\u9aa4&#xff0c;\u76f4\u5230\u6240\u6709\u4e66\u7c4d\u90fd\u88ab\u6574\u7406\u597d\u3002\u6700\u7ec8&#xff0c;\u4f60\u7684\u4e66\u67b6\u4e0a\u7684\u4e66\u7c4d\u5c06\u6309\u7167\u4e66\u540d\u5b57\u6bcd\u987a\u5e8f\u6392\u5217\u597d\u3002\u8fd9\u4e2a\u6574\u7406\u4e66\u67b6\u7684\u8fc7\u7a0b\u5b9e\u9645\u4e0a\u5c31\u662f\u9009\u62e9\u6392\u5e8f\u7684\u4e00\u4e2a\u5b9e\u9645\u5e94\u7528\u3002\u5728\u6bcf\u4e00\u6b65\u4e2d&#xff0c;\u4f60\u90fd\u5728\u672a\u6392\u5e8f\u7684\u4e66\u7c4d\u4e2d\u627e\u5230\u6700\u5c0f&#xff08;\u6216\u6700\u5927&#xff09;\u7684\u4e66\u7c4d&#xff0c;\u5e76\u5c06\u5176\u653e\u5230\u5df2\u6392\u5e8f\u90e8\u5206\u7684\u672b\u5c3e\u3002\u8fd9\u4e0e\u6211\u4eec\u8981\u8bb2\u7684\u9009\u62e9\u6392\u5e8f\u7684\u5de5\u4f5c\u539f\u7406\u975e\u5e38\u76f8\u4f3c\u3002<\/p>\n<p>\u9009\u62e9\u6392\u5e8f\u7684\u57fa\u672c\u601d\u60f3\u5c31\u662f&#xff1a;\u901a\u8fc7n-1\u6b21\u5173\u952e\u5b57\u95f4\u7684\u6bd4\u8f83&#xff0c;\u4ecen-i&#043;1\u4e2a\u8bb0\u5f55\u4e2d\u9009\u53d6\u5230\u5173\u952e\u5b57\u6700\u5c0f\u7684\u8bb0\u5f55&#xff0c;\u5e76\u548c\u7b2ci&#xff08;1\u2264 i\u00a0 \u2264n&#xff09;\u4e2a\u8bb0\u5f55\u8fdb\u884c\u4ea4\u6362\u3002<\/p>\n<p>\u9009\u62e9\u6392\u5e8f<\/p>\n<h3>1.2\u9009\u62e9\u6392\u5e8f\u7684\u5b9e\u73b0<\/h3>\n<p>\u6211\u4eec\u77e5\u9053\u4e86\u9009\u62e9\u6392\u5e8f\u662f\u5c06\u9009\u53d6\u5230\u7684\u6700\u5c0f\u503c\u653e\u5230\u7b2ci\u4e2a\u4f4d\u7f6e&#xff0c;\u90a3\u8fd9\u4e2a\u601d\u60f3\u80fd\u4e0d\u80fd\u7684\u642d\u914d\u4f18\u5316\u5462&#xff1f;\u5f53\u7136\u662f\u6709\u7684&#xff0c;\u6211\u4eec\u5728\u904d\u5386\u65f6\u4f1a\u9009\u53d6\u6700\u5c0f\u503c&#xff0c;\u90a3\u6211\u4eec\u5c31\u987a\u624b\u9009\u53d6\u51fa\u6700\u5927\u503c&#xff0c;\u5c06\u5176\u653e\u5728\u5f85\u6392\u5e8f\u5217\u7684\u672b\u5c3e&#xff0c;\u5e76\u540c\u65f6\u7f29\u5c0f\u5f85\u6392\u5e8f\u5e8f\u5217\u7684\u957f\u5ea6\u533a\u95f4&#xff0c;\u6211\u4eec\u5148\u770b\u5b9e\u73b0\u518d\u8fdb\u884c\u9010\u6b65\u5206\u6790&#xff1a;<\/p>\n<p>void Selectsort(int* arr, int n)<br \/>\n{<br \/>\nint begin &#061; 0;<br \/>\nint end &#061; n &#8211; 1;<br \/>\n\/\/\u4e00\u76f4\u5728[begin,end]\u533a\u95f4\u8fdb\u884c\u6392\u5e8f&#xff0c;<br \/>\n\/\/\u6807\u8bb0\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u5c06\u5176\u79fb\u52a8\u5230begin\/end\u5904&#xff0c;\u518d\u7f29\u5c0f[begin,end]\u533a\u95f4<br \/>\nwhile (end &gt;begin)<br \/>\n{<br \/>\n\/\/\u5148\u5047\u8bbe\u6700\u5927\u548c\u6700\u5c0f\u503c\u90fd\u662fbegin<br \/>\nint maxi &#061; begin;<br \/>\nint mini &#061; begin;<br \/>\n\/\/\u4ecebegin\u4e0b\u4e00\u4e2a\u5143\u7d20\u5f00\u59cb\u904d\u5386\u5230end\u627e\u51fa\u5176\u4e2d\u6700\u5927\u6700\u5c0f\u503c<br \/>\nfor (int i &#061; begin&#043;1; i &lt;&#061; end; i&#043;&#043;)<br \/>\n{<br \/>\nif (arr[i] &gt; arr[maxi])<br \/>\n{<br \/>\nmaxi &#061; i;<br \/>\n}<br \/>\nif (arr[i] &lt; arr[mini])<br \/>\n{<br \/>\nmini &#061; i;<br \/>\n}<br \/>\n}<br \/>\nif (maxi &#061;&#061; begin)<br \/>\n{<br \/>\nmaxi &#061; mini;<br \/>\n}<br \/>\nswap(&amp;arr[mini], &amp;arr[begin]);<br \/>\nswap(&amp;arr[maxi], &amp;arr[end]);<br \/>\nbegin&#043;&#043;;<br \/>\nend&#8211;;<br \/>\n}<br \/>\n} <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"152\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816124009-68a07c29062b1.png\" width=\"528\" \/><\/p>\n<p>\u4f20\u7edf\u7684\u9009\u62e9\u6392\u5e8f\u5728\u6bcf\u4e00\u8f6e\u4e2d\u53ea\u627e\u4e00\u4e2a\u6700\u5927\u6216\u6700\u5c0f\u5143\u7d20&#xff0c;\u800c\u8fd9\u79cd\u4f18\u5316\u7248\u672c\u5728\u4e00\u6b21\u904d\u5386\u4e2d\u540c\u65f6\u627e\u51fa\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c&#xff0c;\u5e76\u5c06\u5b83\u4eec\u653e\u7f6e\u5728\u6b63\u786e\u4f4d\u7f6e&#xff0c;\u4ece\u800c\u5c06\u6392\u5e8f\u6240\u9700\u7684\u8fed\u4ee3\u6b21\u6570\u51cf\u5c11\u4e86\u4e00\u534a\u3002<\/p>\n<li>\u521d\u59cb\u5316&#xff1a;begin\u6307\u5411\u5f85\u6392\u5e8f\u5e8f\u5217\u7684\u8d77\u59cb\u4f4d\u7f6e&#xff08;\u8d77\u59cb\u4f4d\u7f6e\u4e3a0&#xff09;&#xff0c;end\u6307\u5411\u5f85\u6392\u5e8f\u5217\u7684\u7ed3\u675f\u4f4d\u7f6e\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 &#xff08;\u521d\u59cb\u4e3an-1&#xff09;&#xff0c;maxi\u548cmini\u5206\u522b\u8bb0\u5f55\u627e\u5230\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u7684\u7d22\u5f15\u3002<\/li>\n<li>\u4e3b\u5faa\u73af&#xff1a;\u5f53end&gt;begin\u65f6&#xff0c;\u904d\u5386[begin,end]\u533a\u95f4\u627e\u5230\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u7684\u7d22\u5f15\u3002<\/li>\n<li>\u7279\u6b8a\u60c5\u51b5\u5904\u7406&#xff1a;\u5982\u679c\u6700\u5927\u503c\u6070\u597d\u4f4d\u4e8e\u00a0begin\u4f4d\u7f6e&#xff0c;\u5c06\u5176\u8bbe\u7f6e\u4e3a\u00a0mini\u3002\u8fd9\u662f\u56e0\u4e3a\u4e0b\u4e00\u884c\u8981\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u5c06\u00a0mini\u4f4d\u7f6e\u7684\u5143\u7d20\u4e0e\u00a0begin\u4ea4\u6362&#xff0c;\u5982\u679c\u4e24\u8005\u76f8\u540c&#xff0c;\u4ea4\u6362\u540e\u8fd8\u9700\u8981\u518d\u6b21\u4ea4\u6362&#xff0c;\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u6240\u4ee5\u63d0\u524d\u8c03\u6574\u907f\u514d\u989d\u5916\u64cd\u4f5c\u3002<\/li>\n<li>\u5143\u7d20\u4ea4\u6362&#xff1a;\u5c06\u6700\u5c0f\u503c\u653e\u5230\u533a\u95f4\u8d77\u59cb\u4f4d\u7f6e&#xff0c;\u5c06\u6700\u5927\u503c\u653e\u5230\u533a\u95f4\u7ed3\u675f\u4f4d\u7f6e\u3002<\/li>\n<li>\u7f29\u5c0f\u641c\u7d22\u8303\u56f4&#xff1a;\u5c06\u5f85\u6392\u5e8f\u533a\u95f4\u7f29\u5c0f&#xff0c;\u5411\u4e2d\u95f4\u9760\u62e2\u3002<\/li>\n<h3>1.3\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u5206\u6790<\/h3>\n<p>\u53c8\u5230\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u4e86&#xff0c;\u6211\u4eec\u5148\u8ba9\u4ed6\u8dd1\u4e00\u4e0b10000\u4e2a\u6570\u636e\u82b1\u8d39\u591a\u4e45&#xff0c;\u7136\u540e\u518d\u8fdb\u884c\u8ba8\u8bba&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"112\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816124010-68a07c2a114fd.png\" width=\"432\" \/><\/p>\n<p>\u4ece\u8fd9\u4e2a\u8fd0\u884c\u65f6\u95f4\u6211\u4eec\u5c31\u77e5\u9053\u8fd9\u4e2a\u6392\u5e8f\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u4f1a\u4f4e&#xff0c;\u6211\u4eec\u5f00\u59cb\u8ba1\u7b97\u8fd9\u4e2a\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5427&#xff1a;<\/p>\n<p>1.\u5916\u5c42\u5faa\u73af&#xff1a;\u5047\u8bbe\u5f85\u6392\u5e8f\u7684\u5e8f\u5217\u957f\u5ea6\u4e3an&#xff0c;\u5c06\u4f1a\u6267\u884cn\/2\u6b21&#xff0c;\u6bcf\u6b21\u8fed\u4ee3\u90fd\u4f1a\u51cf\u5c11\u533a\u95f4&#xff08;begin&#043;&#043;\u548c\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0end&#8211;&#xff09;&#xff0c;\u533a\u95f4\u5927\u5c0f\u51cf\u5c112.<\/p>\n<p>2.\u5185\u5c42\u5faa\u73af&#xff1a;\u5728\u6bcf\u6b21\u5916\u5c42\u5faa\u73af\u8fed\u4ee3\u4e2d&#xff0c;\u5185\u5c42\u5faa\u73af\u5c06\u904d\u5386\u672a\u6392\u5e8f\u90e8\u5206\u7684\u6240\u6709\u5143\u7d20&#xff0c;\u4ee5\u627e\u5230\u6700\u5927\u548c\u6700\u5c0f\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u5143\u7d20\u7684\u7d22\u5f15\u3002\u56e0\u6b64&#xff0c;\u5185\u5c42\u5faa\u73af\u7684\u6267\u884c\u6b21\u6570\u5c06\u9010\u6e10\u51cf\u5c11&#xff0c;\u7b2c\u4e00\u6b21\u6267\u884cn-1\u6b21&#xff0c;\u7b2c\u4e8c\u6b21\u6267\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u884cn-3\u6b21&#xff0c;\u4ee5\u6b64\u7c7b\u63a8\u3002<\/p>\n<p>\u6240\u4ee5\u9009\u62e9\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a&#xff1a;&#xff08;n-2&#xff09;*[(n-1)&#043;(n-3)&#043;(n-5)&#043;&#8230;..&#043;1]&#xff0c;\u5316\u7b80\u540e\u4e3aO(n\u00b2)\u3002\u5373\u4f7f\u5f85\u6392\u5e8f\u5e8f\u5217\u5df2\u7ecf\u6709\u5e8f&#xff0c;\u4ecd\u9700\u6267\u884c\u5b8c\u6240\u6709\u7684\u6bd4\u8f83&#xff0c;\u6240\u4ee5\u9009\u62e9\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n\u00b2)\u3002<\/p>\n<h2>2.\u5feb\u901f\u6392\u5e8f<\/h2>\n<h3>2.1\u5f15\u5165<\/h3>\n<p>\u7ec8\u4e8e\u5230\u6211\u4eec\u7684\u738b\u724c\u767b\u573a\u4e86&#xff0c;\u5982\u679c\u4f60\u5c06\u6765\u5de5\u4f5c\u65f6&#xff0c;\u4f60\u7684\u8001\u677f\u8ba9\u4f60\u5199\u4e00\u4e2a\u6392\u5e8f\u7b97\u6cd5&#xff0c;\u800c\u4f60\u4f1a\u7684\u7b97\u6cd5\u4e2d\u7adf\u7136\u6ca1\u6709\u5feb\u901f\u6392\u5e8f&#xff0c;\u6211\u5efa\u8bae\u4f60\u53bb\u5077\u5077\u7684\u590d\u5236\u4e00\u4efd\u5feb\u901f\u6392\u5e8f\u5230\u4f60\u7684\u7535\u8111\u4e2d&#xff0c;\u8fd9\u6837\u4f60\u81f3\u5c11\u4e0d\u4f1a\u88ab\u5927\u5bb6\u53d6\u7b11\u3002<\/p>\n<p>\u5feb\u901f\u6392\u5e8f\u662f\u6709\u82f1\u56fd\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\u6258\u5c3c.\u970d\u5c14(Tony Hoare)\u4e8e1960\u5e74\u63d0\u51fa\u7684&#xff0c;\u662f\u8ba1\u7b97\u673a\u79d1\u5b66\u53f2\u4e0a\u9996\u4e2a\u5b9e\u73b0\u200b\u200b\u5206\u6cbb\u7b56\u7565\u200b\u200b\u7684\u9ad8\u6548\u6392\u5e8f\u7b97\u6cd5\u3002\u5176\u6838\u5fc3\u601d\u60f3\u901a\u8fc7\u57fa\u51c6\u503c\u5212\u5206\u6570\u7ec4&#xff0c;\u5c06\u590d\u6742\u95ee\u9898\u5206\u89e3\u4e3a\u53ef\u9012\u5f52\u89e3\u51b3\u7684\u5b50\u95ee\u9898&#xff0c;\u5b83\u4ee5\u5176\u9ad8\u6548\u6027\u548c\u5e7f\u6cdb\u7684\u5e94\u7528\u5728\u6392\u5e8f\u7b97\u6cd5\u4e2d\u5360\u636e\u4e86\u91cd\u8981\u5730\u4f4d&#xff0c;\u5960\u5b9a\u4e86\u73b0\u4ee3\u7b97\u6cd5\u8bbe\u8ba1\u7684\u8303\u5f0f\u3002<\/p>\n<p>Tony Hoare\u662f20\u4e16\u7eaa\u6700\u4f1f\u5927\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u754c\u4e4b\u4e00&#xff0c;\u800c\u8fd9\u5feb\u901f\u6392\u5e8f\u7b97\u6cd5\u53ea\u662f\u4ed6\u4f17\u591a\u8d21\u732e\u4e2d\u7684\u4e00\u4e2a\u5c0f\u53d1\u660e\u800c\u5df2&#xff08;\u6709\u65f6\u5019\u771f\u60f3\u8fd9\u4e9b\u8fd9\u4e48\u725b\u7684\u4eba\u62fc\u4e86&#8230;&#xff09;\u3002\u66f4\u725b\u7684\u662f\u6211\u4eec\u73b0\u5728\u8981\u8bb2\u7684\u5feb\u901f\u6392\u5e8f\u7b97\u6cd5\u88ab\u5217\u4e3a20\u4e16\u7eaa\u5341\u5927\u7b97\u6cd5\u4e4b\u4e00&#xff0c;\u6211\u4eec\u8fd9\u4e9b\u73a9\u7f16\u7a0b\u7684\u8fd8\u6709\u4ec0\u4e48\u7406\u7531\u4e0d\u53bb\u5b66\u5b83\u5462&#xff1f;<\/p>\n<p>\u5feb\u901f\u6392\u5e8f\u5176\u5b9e\u5c31\u662f\u524d\u9762\u6211\u4eec\u8ba4\u4e3a\u6700\u6162\u7684\u5192\u6ce1\u6392\u5e8f\u7684\u5347\u7ea7\u3002\u4ed6\u4eec\u90fd\u662f\u5c5e\u4e8e\u4ea4\u6362\u7c7b\u6392\u5e8f&#xff0c;\u4ed6\u4e5f\u662f\u901a\u8fc7\u4e0d\u65ad\u7684\u6bd4\u8f83\u548c\u79fb\u52a8\u4ea4\u6362\u6765\u5b9e\u73b0\u6392\u5e8f\u7684&#xff0c;\u53ea\u4e0d\u8fc7\u4ed6\u7684\u5b9e\u73b0&#xff0c;\u589e\u5927\u4e86\u8bb0\u5f55\u7684\u6bd4\u8f83\u548c\u79fb\u52a8\u8ddd\u79bb&#xff0c;\u5c06\u5173\u952e\u5b57\u8f83\u5927\u7684\u8bb0\u5f55\u4ece\u524d\u9762\u76f4\u63a5\u79fb\u52a8\u5230\u540e\u9762&#xff0c;\u5173\u952e\u5b57\u8f83\u5c0f\u7684\u8bb0\u5f55\u76f4\u63a5\u4ece\u540e\u9762\u79fb\u52a8\u5230\u524d\u9762&#xff0c;\u4ece\u800c\u51cf\u5c11\u4e86\u603b\u7684\u6bd4\u8f83\u6b21\u6570\u548c\u79fb\u52a8\u6b21\u6570\u3002<\/p>\n<h3>2.2\u5feb\u901f\u6392\u5e8f\u7684\u5b9e\u73b0<\/h3>\n<p>\u5feb\u901f\u6392\u5e8f\u7684\u57fa\u672c\u601d\u60f3&#xff1a;\u901a\u8fc7\u4e00\u8d9f\u6392\u5e8f\u5c06\u5f85\u6392\u5e8f\u5217\u5206\u6210\u72ec\u7acb\u7684\u4e24\u90e8\u5206&#xff0c;\u5176\u4e2d\u4e00\u90e8\u5206\u7684\u6240\u6709\u5143\u7d20\u5747\u6bd4\u53e6\u4e00\u90e8\u5206\u7684\u6240\u6709\u5143\u7d20\u8981\u5c0f&#xff0c;\u7136\u540e\u518d\u6309\u6b64\u65b9\u6cd5\u5bf9\u8fd9\u4e24\u90e8\u5206\u7ee7\u7eed\u8fdb\u884c\u6392\u5e8f&#xff0c;\u4ee5\u8fbe\u5230\u6574\u4e2a\u5e8f\u5217\u6709\u5e8f\u3002\u6211\u4eec\u5148\u6765\u770b\u4e00\u4e0b\u4e0b\u9762\u8fd9\u6bb5\u5c0f\u89c6\u9891\u6765\u611f\u53d7\u4e00\u4e0b&#xff1a;<\/p>\n<p>\u5feb\u6392<\/p>\n<p>\u77e5\u9053\u4e86\u5b83\u7684\u6392\u5e8f\u64cd\u4f5c\u4e86&#xff0c;\u6211\u4eec\u6765\u5b9e\u73b0\u4e00\u4e0b&#xff1a;<\/p>\n<h4>2.2.1Hoare\u7248\u672c\u5b9e\u73b0<\/h4>\n<p>\u5feb\u6392\u6709\u597d\u591a\u79cd\u5b9e\u73b0\u7248\u672c&#xff0c;\u6211\u4eec\u5148\u6765\u5b9e\u73b0\u7956\u5e08\u7237\u7684\u7248\u672c&#xff1a;<\/p>\n<p>int _Quicksort(int* a,int left,int right)<br \/>\n{<br \/>\nint keyi &#061; left;<br \/>\nleft&#043;&#043;;\/\/\u4ece\u57fa\u51c6\u503c\u7684\u540e\u4e00\u4e2a\u5143\u7d20\u5f00\u59cb\u904d\u5386<br \/>\n\/\/\u4fdd\u8bc1\u5728\u6b63\u786e\u7684\u533a\u95f4\u8fdb\u884c<br \/>\nwhile (left &lt;&#061; right)<br \/>\n{<br \/>\nwhile (left &lt;&#061; right &amp;&amp; a[right] &gt; a[keyi])<br \/>\n{<br \/>\nright&#8211;;<br \/>\n}<br \/>\nwhile (left &lt;&#061; right &amp;&amp; a[left] &lt; a[keyi])<br \/>\n{<br \/>\nleft&#043;&#043;;<br \/>\n}<\/p>\n<p>if (left &lt;&#061; right)<br \/>\n{<br \/>\nswap(&amp;a[left&#043;&#043;], &amp;a[right&#8211;]);<br \/>\n}<br \/>\n}<br \/>\nswap(&amp;a[keyi], &amp;a[right]);<br \/>\nreturn right;<br \/>\n}<br \/>\nvoid Quicksort(int* a, int left,int right)<br \/>\n{<br \/>\n\/\/\u4e0d\u5728\u533a\u95f4\u8303\u56f4\u76f4\u63a5\u8fd4\u56de<br \/>\nif (left&gt;&#061;right)<br \/>\n{<br \/>\nreturn;<br \/>\n}<br \/>\nint keyi &#061; _Quicksort(a, left, right);<br \/>\nQuicksort(a, left, keyi &#8211; 1);<br \/>\nQuicksort(a, keyi &#043; 1, right);<br \/>\n} <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"144\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250816124010-68a07c2ade3fe.png\" width=\"509\" \/><\/p>\n<p>\u5728\u8fd9\u91cc\u6211\u4eec\u5b9e\u73b0\u4e86\u4e24\u4e2a\u51fd\u6570&#xff0c;\u8fd9\u4e24\u4e2a\u51fd\u6570\u7684\u529f\u80fd\u5206\u522b\u4e3a&#xff1a;<\/p>\n<p>1._Quicksort&#xff1a;\u6267\u884c\u5355\u6b21\u5206\u533a\u64cd\u4f5c\u7684\u51fd\u6570<\/p>\n<p>2.Quicksort&#xff1a;\u5feb\u901f\u6392\u5e8f\u7684\u4e3b\u63a7\u51fd\u6570&#xff0c;\u8d1f\u8d23\u9012\u5f52\u8c03\u7528<\/p>\n<p>_Quicksort\u51fd\u6570&#xff1a;<\/p>\n<li>\u9009\u62e9\u57fa\u51c6\u503c&#xff1a;\u9009\u62e9\u5f85\u6392\u5e8f\u5e8f\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u4e3a\u57fa\u51c6\u503c&#xff0c;\u5e76\u5c06\u5176\u7d22\u5f15\u5b58\u653e\u5728keyi\u4e2d\u3002<\/li>\n<li>\u5206\u533a&#xff1a;\u4f7f\u7528\u4e24\u4e2a\u53d8\u91cf\u5206\u522b\u4ece\u6570\u5b57\u4e24\u7aef\u5411\u4e2d\u95f4\u79fb\u52a8&#xff0c;\u627e\u5230\u9700\u8981\u4ea4\u6362\u7684\u5143\u7d20&#xff0c;\u5177\u4f53\u64cd\u4f5c\u6b65\u9aa4\u4e3a&#xff1a;\u4ece\u53f3\u5f80\u5de6\u627e\u5230\u7b2c\u4e00\u4e2a\u5c0f\u4e8e\u57fa\u51c6\u503c\u7684\u5143\u7d20&#xff0c;\u4ece\u5de6\u5f80\u53f3\u627e\u5230\u7b2c\u4e00\u4e2a\u5927\u4e8e\u57fa\u51c6\u503c\u7684\u5143\u7d20&#xff0c;\u5982\u679c\u6b64\u65f6left\u5c0f\u4e8eright&#xff0c;\u5219\u4ea4\u6362\u4e24\u4e2a\u5143\u7d20&#xff0c;\u5e76\u7f29\u5c0f\u641c\u7d22\u533a\u95f4&#xff0c;\u7136\u540e\u91cd\u590d\u4e0a\u9762\u7684\u6b65\u9aa4\u3002<\/li>\n<li>\u4ea4\u6362\u57fa\u51c6\u503c&#xff1a;\u5c06\u57fa\u51c6\u5143\u7d20\u4e0eright\u6307\u9488\u6240\u6307\u5411\u7684\u5143\u7d20\u4ea4\u6362\u4f4d\u7f6e&#xff0c;\u8fd9\u6837\u57fa\u51c6\u5143\u7d20\u5c31\u4f4d\u4e8e\u5176\u6700\u7ec8\u4f4d\u7f6e\u4e0a\u3002<\/li>\n<li>\u8fd4\u56de\u533a\u5206\u70b9&#xff1a;\u8fd4\u56deright\u4f5c\u4e3a\u65b0\u7684\u5206\u533a\u70b9\u3002<\/li>\n<p>Quicksort\u51fd\u6570&#xff1a;<\/p>\n<li>\u8fb9\u754c\u68c0\u67e5&#xff1a;\u5982\u679c\u533a\u95f4\u65e0\u6548\u76f4\u63a5\u8fd4\u56de\u3002<\/li>\n<li>\u83b7\u53d6\u5206\u533a\u70b9\u200b\u200b&#xff1a;\u8c03\u7528_Quicksort\u51fd\u6570\u83b7\u53d6\u57fa\u51c6\u503c\u7684\u6700\u7ec8\u4f4d\u7f6e\u3002<\/li>\n<li>\u9012\u5f52\u6392\u5e8f\u5de6\u4fa7\u5b50\u6570\u7ec4&#xff1a;\u9012\u5f52\u5730\u5bf9\u5206\u533a\u70b9\u5de6\u4fa7\u7684\u5b50\u6570\u7ec4\u8fdb\u884c\u6392\u5e8f\u3002<\/li>\n<li>\u9012\u5f52\u6392\u5e8f\u53f3\u4fa7\u5b50\u6570\u7ec4&#xff1a;\u9012\u5f52\u5730\u5bf9\u5206\u533a\u70b9\u53f3\u4fa7\u7684\u5b50\u6570\u7ec4\u8fdb\u884c\u6392\u5e8f\u3002<\/li>\n<h4>2.2.2lomuto\u7248\u672c\u5b9e\u73b0<\/h4>\n<p>lomuto\u7248\u672c\u7684\u601d\u60f3\u5c31\u662f\u4f7f\u7528\u524d\u540e\u6307\u9488\u6765\u5b9e\u73b0&#xff1a;<\/p>\n<p>int _QuickSort(int* a, int left, int right)<br \/>\n{<br \/>\nint keyi &#061; left;<br \/>\nint prev &#061; left, cur &#061; prev &#043; 1;<br \/>\nwhile (cur &lt;&#061; right)<br \/>\n{<br \/>\nif (a[cur] &lt; a[keyi] &amp;&amp; &#043;&#043;prev !&#061; cur)<br \/>\n{<br \/>\nSwap(&amp;a[prev], &amp;a[cur]);<br \/>\n}<br \/>\ncur&#043;&#043;;<br \/>\n}<br \/>\nSwap(&amp;a[keyi], &amp;a[prev]);<br \/>\nreturn prev;<br \/>\n} <\/p>\n<p>\u5728\u8fd9\u91cc\u53ea\u9700\u8981\u66ff\u6362\u6389Hoare\u7248\u672c\u4e2d\u7684_Quicksort\u51fd\u6570\u5c31\u884c\u4e86&#xff0c;Lomuto\u7248\u672c\u662f\u5feb\u901f\u6392\u5e8f\u6700\u76f4\u89c2\u6613\u61c2\u7684\u5b9e\u73b0\u65b9\u5f0f\u4e4b\u4e00&#xff0c;\u90a3\u4e48\u73b0\u5728\u6211\u4eec\u6765\u8be6\u7ec6\u8bb2\u8bb2\u5176\u5de5\u4f5c\u539f\u7406&#xff1a;<\/p>\n<li>\u9009\u62e9\u57fa\u51c6\u503c&#xff1a;\u9009\u62e9\u5f85\u6392\u5e8f\u5e8f\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6&#xff0c;\u5e76\u5c06\u5176\u7d22\u5f15\u5b58\u50a8\u5728keyi\u4e2d\u3002<\/li>\n<li>\u521d\u59cb\u5316\u6307\u9488&#xff1a;\u521d\u59cb\u5316\u4e24\u4e2a\u6307\u9488prev\u548ccur&#xff0c;\u5176\u4e2dprev\u6307\u9488\u6307\u5411\u57fa\u51c6\u5143\u7d20&#xff0c;cur\u6307\u9488\u6307\u5411\u57fa\u51c6\u5143\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 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