{"id":63343,"date":"2026-01-21T21:25:08","date_gmt":"2026-01-21T13:25:08","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/63343.html"},"modified":"2026-01-21T21:25:08","modified_gmt":"2026-01-21T13:25:08","slug":"%e6%ad%bb%e7%a3%95%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95%ef%bc%9a%e6%89%8b%e6%92%95%e5%bf%ab%e9%80%9f%e6%8e%92%e5%ba%8f%e7%9a%84%e5%9b%9b%e7%a7%8d%e5%a7%bf%e5%8a%bf%ef%bc%88hoare%e3%80%81%e6%8c%96","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/63343.html","title":{"rendered":"\u6b7b\u78d5\u6392\u5e8f\u7b97\u6cd5\uff1a\u624b\u6495\u5feb\u901f\u6392\u5e8f\u7684\u56db\u79cd\u59ff\u52bf\uff08Hoare\u3001\u6316\u5751\u3001\u524d\u540e\u6307\u9488 + \u975e\u9012\u5f52\uff09"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>\u4e00\u3001\u5feb\u901f\u6392\u5e8f\u7684\u6838\u5fc3\u601d\u60f3<\/li>\n<li>\u4e8c\u3001\u4e09\u79cd\u5207\u5206\u65b9\u6cd5<\/li>\n<li>\n<ul>\n<li>1.Hoare \u6cd5&#xff08;\u5de6\u53f3\u6307\u9488\u6cd5&#xff09;<\/li>\n<li>\n<ul>\n<li>\u7591\u60d1\u70b9<\/li>\n<\/ul>\n<\/li>\n<li>2.\u6316\u5751\u6cd5<\/li>\n<li>3.\u524d\u540e\u6307\u9488\u6cd5<\/li>\n<\/ul>\n<\/li>\n<li>\u4e09\u3001\u975e\u9012\u5f52\u5b9e\u73b0 (Stack \u7248\u672c)<\/li>\n<li>\u56db\u3001\u603b\u7ed3<\/li>\n<\/ul>\n<h2>\u4e00\u3001\u5feb\u901f\u6392\u5e8f\u7684\u6838\u5fc3\u601d\u60f3<\/h2>\n<p>\u5feb\u901f\u7684\u7cbe\u9ad3\u5728\u4e8e\u201c\u5206\u6cbb\u201d&#xff0c;\u5373\u6bcf\u4e00\u8f6e\u53ea\u505a\u4e00\u4ef6\u4e8b&#xff1a;\u9009\u4e00\u4e2a\u57fa\u51c6\u503c&#xff0c;\u628a\u6bd4\u5b83\u5c0f\u7684\u4e22\u5de6\u8fb9&#xff0c;\u6bd4\u5b83\u5927\u7684\u4e22\u53f3\u8fb9&#xff0c;\u6700\u540e\u5f53\u57fa\u51c6\u503c\u5f52\u4f4d\u540e&#xff0c;\u5b83\u5de6\u53f3\u4e24\u8fb9\u7684\u533a\u95f4\u5c31\u6210\u4e3a\u4e86\u4e24\u4e2a\u72ec\u7acb\u7684\u5b50\u95ee\u9898&#xff0c;\u76f4\u63a5\u9012\u5f52\u5904\u7406\u5c31\u884c\u3002<\/p>\n<p>\u901f\u8bb0&#xff1a; \u9009\u57fa\u2014\u5212\u533a\u2014\u9012\u5f52<\/p>\n<p>\u4ee3\u7801\u6846\u67b6<\/p>\n<p>    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> array<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> start<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> end<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>start <span class=\"token operator\">&gt;&#061;<\/span> end<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> pivot <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> start<span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> start<span class=\"token punctuation\">,<\/span> pivot <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> pivot <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> i<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> minIndex<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>minIndex<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>minIndex<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token comment\">\/\/\u6838\u5fc3\u65b9\u6cd5<\/span><br \/>\n    <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span><\/p>\n<h2>\u4e8c\u3001\u4e09\u79cd\u5207\u5206\u65b9\u6cd5<\/h2>\n<h3>1.Hoare \u6cd5&#xff08;\u5de6\u53f3\u6307\u9488\u6cd5&#xff09;<\/h3>\n<p>\u8fd9\u662f\u5feb\u6392\u53d1\u660e\u8005 Hoare \u6700\u521d\u63d0\u51fa\u7684\u7248\u672c<\/p>\n<p>\u6838\u5fc3\u903b\u8f91&#xff1a;<\/p>\n<ul>\n<li>\u9009\u53d6\u6700\u6700\u5de6\u8fb9&#xff08;left&#xff09;\u7684\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u503c&#xff08;key&#xff09;<\/li>\n<li>\u8ba9right\u6307\u9488\u5148\u8d70&#xff0c;\u53bb\u627e\u6bd4key\u5c0f\u7684\u6570<\/li>\n<li>left\u6307\u9488\u518d\u5411\u53f3\u8d70&#xff0c;\u627e\u6bd4key\u5927\u7684\u6570<\/li>\n<li>\u4ea4\u6362\u4ed6\u4eec\u4e24\u4e2a\u7684\u503c<\/li>\n<li>\u91cd\u590d\u8be5\u6d41\u7a0b&#xff0c;\u76f4\u5230\u4ed6\u4eec\u76f8\u9047&#xff0c;\u6700\u540e\u5c06\u57fa\u51c6\u503c\u4e0e\u76f8\u9047\u70b9\u4ea4\u6362<\/li>\n<\/ul>\n<p><span class=\"token comment\">\/\/ Hoare\u7248\u672c\u6838\u5fc3\u4ee3\u7801<\/span><br \/>\n<span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> key <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u9009\u6700\u5de6\u8fb9\u505a\u57fa\u51c6<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5fc5\u987b\u53f3\u8fb9\u5148\u8d70&#xff01;\u627e\u6bd4 key \u5c0f\u7684<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> key<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            right<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5de6\u8fb9\u540e\u8d70&#xff0c;\u627e\u6bd4 key \u5927\u7684<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> key<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u57fa\u51c6\u503c\u5f52\u4f4d<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>\u7591\u60d1\u70b9<\/h4>\n<p>\u7591\u95ee 1&#xff1a;\u4e3a\u4ec0\u4e48\u8981\u9650\u5236 left &lt; right&#xff1f; Q&#xff1a; \u5916\u5c42\u5faa\u73af\u5df2\u7ecf\u6709\u4e86 while(left &lt; right)&#xff0c;\u4e3a\u4ec0\u4e48\u91cc\u9762\u7684\u5c0f\u5faa\u73af\u8fd8\u8981\u52a0\u8fd9\u4e2a\u5224\u65ad&#xff1f; A: \u9632\u6b62\u8d8a\u754c(IndexOutOfBounds) eg&#xff1a;\u5982\u679c\u6570\u7ec4{1,2,3,4,5}\u8fd9\u79cd\u60c5\u51b5\u4e0b&#xff0c;\u57fa\u51c6\u503c\u4e3a1&#xff0c;right\u6307\u9488\u4f1a\u4e00\u76f4\u627e\u6bd41\u5c0f\u7684\u6570&#xff0c;\u4f46\u662f\u4e00\u76f4\u627e\u4e0d\u5230&#xff0c;\u4f1a\u4e00\u76f4\u51cf&#xff0c;\u7531\u4e8e\u6ca1\u6709left &lt; right\u62e6\u7740&#xff0c;right\u4f1a\u51cf\u5230-1&#xff0c;\u76f4\u63a5\u62a5\u9519 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260121132507-6970d3b39d2c8.png\" alt=\"idea\u62a5\u9519\" \/><\/p>\n<p>\u7591\u95ee 2&#xff1a;\u4e3a\u4ec0\u4e48\u5fc5\u987b\u53d6\u201c\u7b49\u4e8e\u201d (&gt;&#061; \u548c &lt;&#061;)&#xff1f; Q&#xff1a; \u6211\u5199\u6210 array[right] &gt; key &#xff0c;\u4e0d\u52a0 &#061; \u53ef\u4ee5\u5417&#xff1f; A&#xff1a;\u4e0d\u884c&#xff0c;\u4f1a\u6b7b\u5faa\u73af eg&#xff1a;\u5047\u5982\u6570\u7ec4\u662f {5, 5, 2\u2026}&#xff0c;\u57fa\u51c6\u662f 5\u3002 left\u6307\u9488\u6307\u5411 5&#xff0c;\u4e0d\u6ee1\u8db3 &lt;5&#xff0c;\u505c\u4e0b&#xff0c;right\u6307\u9488\u6307\u5411 5&#xff0c;\u4e0d\u6ee1\u8db3 &gt;5&#xff0c;\u505c\u4e0b&#xff0c;\u4e24\u4eba\u4ea4\u6362&#xff0c;\u6570\u7ec4\u8fd8\u662f {5, 5\u2026} \u4e0b\u4e00\u8f6e\u5faa\u73af&#xff0c;\u4e24\u4eba\u53c8\u90fd\u5728\u539f\u5730\u505c\u4e0b&#xff0c;\u518d\u6b21\u4ea4\u6362\u2026\u2026\u9677\u5165\u6b7b\u5faa\u73af<\/p>\n<p>\u7591\u95ee 3&#xff1a;\u6700\u5173\u952e\u7684\u2014\u2014\u4e3a\u4ec0\u4e48\u8981\u201c\u53f3\u8fb9\u5148\u8d70\u201d&#xff1f; Q&#xff1a; \u6211\u5148\u79fb\u52a8\u5de6\u6307\u9488\u4e0d\u884c\u5417&#xff1f; A&#xff1a;\u7edd\u5bf9\u4e0d\u884c&#xff08;\u5f53\u57fa\u51c6\u5728\u5de6\u8fb9\u65f6&#xff09;\u3002<\/p>\n<ul>\n<li>\n<p>\u5f53\u5230\u6700\u540e\u4e00\u6b65\u662f swap(array, left, i)&#xff0c;\u4e5f\u5c31\u662f\u628a\u76f8\u9047\u70b9\u7684\u6570\u548c\u57fa\u51c6\u503c\u4ea4\u6362\u3002<\/p>\n<\/li>\n<li>\n<p>\u57fa\u51c6\u503c\u5728\u6700\u5de6\u8fb9&#xff0c;\u6240\u4ee5\u6211\u4eec\u5e0c\u671b\u4ea4\u6362\u5230\u6700\u5de6\u8fb9\u7684\u90a3\u4e2a\u6570&#xff0c;\u5fc5\u987b\u662f\u6bd4\u57fa\u51c6\u503c\u5c0f\u7684\u3002<\/p>\n<\/li>\n<li>\n<p>\u53f3\u8fb9\u5148\u8d70&#xff1a;right \u4f1a\u505c\u5728\u6bd4\u57fa\u51c6\u5c0f\u7684\u5730\u65b9\u3002\u6b64\u65f6 left \u649e\u4e0a\u6765&#xff0c;\u76f8\u9047\u70b9\u5c31\u662f\u201c\u5c0f\u201d\u7684\u3002<\/p>\n<\/li>\n<li>\n<p>\u5de6\u8fb9\u5148\u8d70&#xff1a;left \u4f1a\u505c\u5728\u6bd4\u57fa\u51c6\u5927\u7684\u5730\u65b9\u3002\u6b64\u65f6 right \u649e\u4e0a\u6765&#xff0c;\u76f8\u9047\u70b9\u5c31\u662f\u201c\u5927\u201d\u7684\u3002\u628a\u5927\u7684\u6362\u5230\u6700\u5de6\u8fb9&#xff0c;\u6392\u5e8f\u5c31\u9519\u4e86<\/p>\n<\/li>\n<\/ul>\n<p>\u603b\u7ed3&#xff1a;\u57fa\u51c6\u5728\u5de6&#xff0c;\u53f3\u8fb9\u5148\u8d70&#xff1b;\u4fe9\u4eba\u505c\u4e0b&#xff0c;\u4e92\u76f8\u4ea4\u6362\u3002<\/p>\n<h3>2.\u6316\u5751\u6cd5<\/h3>\n<p>\u65e2\u7136 Hoare \u6cd5\u8fd8\u8981\u8003\u8651\u5de6\u53f3\u8c01\u5148\u8d70&#xff0c;\u8fd8\u8981\u8003\u8651\u6700\u540e\u4e00\u6b65\u4ea4\u6362\u903b\u8f91&#xff0c;\u90a3\u4e48\u4e3b\u64ad\u4e3b\u64ad&#xff0c;\u6709\u6ca1\u6709\u66f4\u5f3a\u52bf\u7684\u5199\u6cd5&#xff1f; \u5f53\u7136\u6709&#xff0c;\u90a3\u5c31\u662f\u6316\u5751\u6cd5<\/p>\n<p>\u6838\u5fc3\u903b\u8f91&#xff1a;<\/p>\n<ul>\n<li>\u628a\u57fa\u51c6\u503c\u5b58\u5165\u4e34\u65f6\u53d8\u91cfkey&#xff0c;\u6b64\u65f6left \u6307\u9488\u4f4d\u7f6e\u5f62\u6210\u7b2c\u4e00\u4e2a&#034;\u5751&#034;\u3002<\/li>\n<li>right\u6307\u9488\u627e\u5c0f\u4e8ekey&#xff0c;\u627e\u5230\u4e86\u76f4\u63a5\u586b\u5230\u5de6\u8fb9\u7684\u5751\u91cc&#xff08;right\u6307\u9488\u73b0\u5728\u7684\u4f4d\u7f6e\u53d8\u65b0\u5751)\u3002<\/li>\n<li>left\u6307\u9488\u627e\u5927\u4e8ekey&#xff0c;\u627e\u5230\u4e86\u76f4\u63a5\u586b\u5230\u53f3\u8fb9\u7684\u5751\u91cc&#xff08;left\u73b0\u5728\u4f4d\u7f6e\u53d8\u65b0\u5751)\u3002<\/li>\n<li>\u76f8\u9047\u65f6&#xff0c;\u628a key \u586b\u5165\u6700\u540e\u7684\u5751\u4e2d<\/li>\n<\/ul>\n<p><span class=\"token comment\">\/\/\u6316\u5751\u6cd5\u7248\u672c\u6838\u5fc3\u4ee3\u7801<\/span><br \/>\n<span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> key <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ 1. \u6316\u5751<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ 2. \u53f3\u8fb9\u627e\u5c0f&#xff0c;\u586b\u5de6\u5751<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> key<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            right<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span> <\/p>\n<p>        <span class=\"token comment\">\/\/ 3. \u5de6\u8fb9\u627e\u5927&#xff0c;\u586b\u53f3\u5751<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> key<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token comment\">\/\/ 4. \u586b\u6700\u540e\u7684\u5751<\/span><br \/>\n    array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> key<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u603b\u7ed3&#xff1a;\u5148\u6316\u57fa\u51c6&#xff0c;\u53f3\u586b\u5de6&#xff0c;\u5de6\u586b\u53f3&#xff0c;\u6700\u540e\u518d\u628a\u57fa\u51c6\u586b\u4e0a<\/p>\n<h3>3.\u524d\u540e\u6307\u9488\u6cd5<\/h3>\n<p>\u8fd9\u79cd\u65b9\u6cd5\u903b\u8f91\u7a0d\u5fae\u62bd\u8c61\u4e00\u70b9&#xff0c;\u867d\u7136\u4ee3\u7801\u770b\u7740\u77ed&#xff0c;\u4f46\u903b\u8f91\u7a0d\u5fae\u7ed5\u4e00\u70b9&#xff0c;\u4f46\u662f\u5b83\u7684\u4f18\u52bf\u662f\u4e0d\u9700\u8981\u4ece\u53f3\u5f80\u5de6\u904d\u5386&#xff0c;\u9002\u5408\u94fe\u8868<\/p>\n<p>\u6838\u5fc3\u903b\u8f91&#xff1a;<\/p>\n<ul>\n<li>\n<p>prev \u6307\u5411\u57fa\u51c6&#xff0c;cur \u6307\u5411\u4e0b\u4e00\u4e2a<\/p>\n<\/li>\n<li>\n<p>\u5f53cur \u9047\u5230\u6bd4\u57fa\u51c6\u5c0f\u7684\u6570\u65f6&#xff1a; prev \u5411\u524d\u6269\u4e00\u6b65 \u4ea4\u6362 prev \u548c cur \u7684\u503c&#xff08;\u628a\u5c0f\u7684\u62c9\u8fdb\u5708\u5b50&#xff0c;\u628a\u5927\u7684\u6324\u51fa\u53bb&#xff09;<\/p>\n<\/li>\n<li>\n<p>\u6700\u540e\u4ea4\u6362\u57fa\u51c6\u503c\u548c prev<\/p>\n<\/li>\n<\/ul>\n<p><span class=\"token comment\">\/\/ \u524d\u540e\u6307\u9488\u6cd5\u7248\u672c\u6838\u5fc3\u4ee3\u7801<\/span><br \/>\n <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">partition3<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> prev <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> cur <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/prev \u6307\u5411 0 (\u57fa\u51c6\u503c\u4f4d\u7f6e)&#xff0c;cur \u6307\u5411 1 (\u4e0b\u4e00\u4e2a)\u3002<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> key <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/\u53ea\u6709\u5f53 cur \u9047\u5230\u6bd4 key \u5c0f\u7684\u6570\u65f6&#xff0c;\u624d\u9700\u8981\u5904\u7406<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/  \u6838\u5fc3\u5224\u65ad&#xff1a;\u53ea\u5728\u9047\u5230\u201c\u5c0f\u7684\u201d\u65f6\u5019\u5904\u7406<\/span><br \/>\n            <span class=\"token comment\">\/\/ if (array[cur] &lt; key &amp;&amp; &#043;&#043;prev !&#061; cur)<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u6761\u4ef6 A: array[cur] &lt; key  -&gt; \u627e\u5230\u4e86\u5c5e\u4e8e\u5de6\u8fb9\u7684\u6570<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u6761\u4ef6 B: &#043;&#043;prev !&#061; cur     -&gt; \u8fd9\u662f\u4e00\u4e2a\u4f18\u5316\u3002<\/span><br \/>\n            <span class=\"token comment\">\/\/        \u5982\u679c prev \u7d27\u8d34\u7740 cur (\u4e2d\u95f4\u6ca1\u5939\u7740\u5927\u6570)&#xff0c;\u6bd4\u5982\u5f00\u5934\u5168\u662f\u5c0f\u7684&#xff0c;<\/span><br \/>\n            <span class=\"token comment\">\/\/        \u90a3 prev \u5f80\u524d\u8d70\u4e00\u6b65\u5c31\u649e\u4e0a cur \u4e86&#xff0c;\u81ea\u5df1\u6362\u81ea\u5df1\u6ca1\u5fc5\u8981\u3002<\/span><br \/>\n            <span class=\"token comment\">\/\/        \u53ea\u6709\u5f53 prev \u548c cur \u4e4b\u95f4\u6709\u7a7a\u9699&#xff08;\u5939\u7740\u5927\u6570&#xff09;\u65f6&#xff0c;\u624d\u9700\u8981\u771f\u6b63\u7684\u4ea4\u6362\u3002<\/span><br \/>\n            <span class=\"token comment\">\/\/        \u4e0b\u9762\u7684\u662f\u7b80\u5316\u7248\u672c<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                prev<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>prev <span class=\"token operator\">!&#061;<\/span> cur<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> cur<span class=\"token punctuation\">,<\/span> prev<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token comment\">\/\/\u4e0d\u7ba1\u662f\u4e0d\u662f\u6bd4 key \u5c0f&#xff0c;cur \u90fd\u8981\u7ee7\u7eed\u5f80\u540e\u8d70&#xff0c;\u53bb\u68c0\u67e5\u4e0b\u4e00\u4e2a\u6570<\/span><br \/>\n            cur<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5faa\u73af\u7ed3\u675f&#xff0c;prev \u6307\u5411\u7684\u662f\u6700\u540e\u4e00\u4e2a\u6bd4 key \u5c0f\u7684\u6570<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u628a\u57fa\u51c6\u503c(key)\u6362\u5230\u8fd9\u91cc&#xff0c;\u8ba9\u5b83\u5c45\u4e2d<\/span><br \/>\n        <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> prev<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> prev<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<h2>\u4e09\u3001\u975e\u9012\u5f52\u5b9e\u73b0 (Stack \u7248\u672c)<\/h2>\n<p>\u5982\u679c\u6570\u636e\u91cf\u8d85\u7ea7\u5927&#xff0c;\u6216\u8005\u6570\u7ec4\u672c\u8eab\u5c31\u6709\u5e8f&#xff0c;\u9012\u5f52\u5c42\u6570\u592a\u6df1\u4f1a\u5bfc\u81f4 StackOverflowError\u3002\u8fd9\u65f6\u5019\u5fc5\u987b\u4f7f\u7528\u975e\u9012\u5f52\u5199\u6cd5<\/p>\n<p>\u975e\u9012\u5f52\u7684\u6838\u5fc3\u662f&#xff1a;\u81ea\u5df1\u9020\u4e00\u4e2a\u6808&#xff0c;\u6a21\u62df\u7cfb\u7edf\u9012\u5f52\u7684\u8fc7\u7a0b<\/p>\n<p>\u6838\u5fc3\u601d\u8def&#xff1a; \u4e0d\u7528\u8ba1\u7b97\u673a\u6765\u8fdb\u884c\u9012\u5f52&#xff0c;\u6211\u4eec\u81ea\u5df1\u9020\u4e00\u4e2a Stack \u6765\u5b58\u4efb\u52a1\u3002<\/p>\n<ul>\n<li>\n<p>\u521b\u5efa\u4e00\u4e2a Stack<\/p>\n<\/li>\n<li>\n<p>\u628a\u6574\u4e2a\u6570\u7ec4\u7684 left \u548c right \u538b\u5165\u6808<\/p>\n<\/li>\n<li>\n<p>\u5faa\u73af\u5f39\u6808 -&gt; \u5207\u5206 (\u8c03\u7528partition) -&gt; \u5f97\u5230\u57fa\u51c6 pivot<\/p>\n<\/li>\n<li>\n<p>\u5982\u679c pivot \u5de6\u8fb9\u8fd8\u6709\u5143\u7d20&#xff0c;\u628a\u5de6\u533a\u95f4\u7684\u8303\u56f4\u538b\u6808<\/p>\n<\/li>\n<li>\n<p>\u5982\u679c pivot \u53f3\u8fb9\u8fd8\u6709\u5143\u7d20&#xff0c;\u628a\u53f3\u533a\u95f4\u7684\u8303\u56f4\u538b\u6808<\/p>\n<\/li>\n<li>\n<p>\u6ce8\u610f\u987a\u5e8f&#xff1a; \u5165\u6808\u5982\u679c\u662f\u201c\u5148\u5de6\u540e\u53f3\u201d&#xff0c;\u51fa\u6808\u5c31\u662f\u201c\u5148\u53f3\u540e\u5de6\u201d<\/p>\n<\/li>\n<\/ul>\n<p><span class=\"token keyword\">import<\/span> <span class=\"token namespace\">java<span class=\"token punctuation\">.<\/span>util<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">Stack<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quickSortNonRecursive<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token class-name\">Stack<\/span><span class=\"token generics\"><span class=\"token punctuation\">&lt;<\/span><span class=\"token class-name\">Integer<\/span><span class=\"token punctuation\">&gt;<\/span><\/span> stack <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token class-name\">Stack<\/span><span class=\"token generics\"><span class=\"token punctuation\">&lt;<\/span><span class=\"token punctuation\">&gt;<\/span><\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u653e\u5165\u6574\u4e2a\u6570\u7ec4 (\u5148\u653e\u5de6&#xff0c;\u518d\u653e\u53f3)&#xff08;\u653e\u4e0b\u6807&#xff09;<\/span><br \/>\n    stack<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    stack<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>stack<span class=\"token punctuation\">.<\/span><span class=\"token function\">isEmpty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u53d6\u51fa (\u6ce8\u610f\u987a\u5e8f&#xff1a;\u5148\u51fa\u53f3&#xff0c;\u518d\u51fa\u5de6)<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> right <span class=\"token operator\">&#061;<\/span> stack<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> stack<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u8c03\u7528\u4e4b\u524d\u7684 partition \u65b9\u6cd5<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> pivot <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u53f3\u8fb9\u65b0\u4efb\u52a1 (\u5982\u679c\u5143\u7d20 &gt; 1\u4e2a)<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pivot <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            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