{"id":87661,"date":"2026-07-30T17:16:29","date_gmt":"2026-07-30T09:16:29","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/87661.html"},"modified":"2026-07-30T17:16:29","modified_gmt":"2026-07-30T09:16:29","slug":"%e5%bf%ab%e9%80%9f%e6%8e%92%e5%ba%8f%e3%80%90hoare%e3%80%91-%e9%99%84%e5%9b%be%e7%a4%ba%e4%bb%a5%e5%8f%8a%e4%bb%a3%e7%a0%81","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/87661.html","title":{"rendered":"\u5feb\u901f\u6392\u5e8f\u3010hoare\u3011--\u9644\u56fe\u793a\u4ee5\u53ca\u4ee3\u7801"},"content":{"rendered":"<h2>\u970d\u5c14\u5feb\u901f\u6392\u5e8f&#xff08;Hoare\u2019s Quicksort&#xff09;\u8be6\u7ec6\u4ecb\u7ecd<\/h2>\n<h3>\u4e00\u3001\u6838\u5fc3\u601d\u60f3<\/h3>\n<p>\u5229\u7528\u5206\u6cbb\u601d\u60f3&#xff0c;\u901a\u8fc7\u5355\u8d9f\u6392\u5e8f&#xff0c;\u628a\u6570\u7ec4 a \u5212\u5206\u6210\u5de6\u53f3\u4e24\u6bb5&#xff1a;<\/p>\n<ul>\n<li>\u5de6\u6bb5\u6240\u6709\u5143\u7d20 \u2264 \u67a2\u8f74\u503c a[keyi]<\/li>\n<li>\u53f3\u6bb5\u6240\u6709\u5143\u7d20 \u2265 \u67a2\u8f74\u503c a[keyi]<\/li>\n<\/ul>\n<p>\u9012\u5f52\u5730\u5bf9\u5de6\u53f3\u6bb5\u505a\u540c\u6837\u7684\u5904\u7406&#xff0c;\u6700\u7ec8\u5b8c\u6210\u6574\u4e2a\u6570\u7ec4\u7684\u6392\u5e8f\u3002<\/p>\n<h4>1.1 \u7b97\u6cd5\u6b65\u9aa4<\/h4>\n<li>\n<p>\u9009\u67a2\u8f74<br \/>\n\u4e09\u6570\u53d6\u4e2d\u62ff\u5230\u4e2d\u503c\u7d22\u5f15&#xff0c;\u4e0e a[left] \u4ea4\u6362\u540e&#xff0c;\u56fa\u5b9a keyi &#061; left&#xff0c;\u4ee5 a[keyi] \u4e3a\u57fa\u51c6\u3002<\/p>\n<\/li>\n<li>\n<p>\u5206\u533a<br \/>\n\u7528 left\u3001right \u4e24\u4e2a\u6307\u9488\u76f8\u5411\u626b\u63cf&#xff1a;<\/p>\n<ul>\n<li>\u53f3\u8fb9\u627e a[right] &lt; a[keyi]&#xff0c;\u5de6\u8fb9\u627e a[left] &gt; a[keyi]<\/li>\n<li>\u627e\u5230\u540e swap \u4ea4\u6362&#xff0c;\u76f4\u5230 left \u548c right \u76f8\u9047<\/li>\n<li>\u6700\u540e swap(&amp;a[keyi], &amp;a[meeti]) \u5c06\u67a2\u8f74\u653e\u5230\u6b63\u786e\u4f4d\u7f6e&#xff0c;\u8fd4\u56de meeti<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u9012\u5f52\u6392\u5e8f<br \/>\n\u5bf9 [left_initial, meeti-1] \u548c [meeti&#043;1, right_initial] \u4e24\u4e2a\u5b50\u533a\u95f4\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b&#xff0c;\u76f4\u5230\u533a\u95f4\u957f\u5ea6 \u2264 1\u3002<\/p>\n<\/li>\n<h4>1.2 \u970d\u5c14\u5206\u533a\u7684\u8be6\u7ec6\u6b65\u9aa4<\/h4>\n<p>\u5206\u533a\u51c6\u5907<br \/>\n\u5f53\u524d\u5f85\u5206\u533a\u7684\u533a\u95f4\u4e3a [left, right]\u3002\u4e3a\u51cf\u5c11\u6700\u574f\u60c5\u51b5\u51fa\u73b0\u7684\u6982\u7387&#xff0c;\u4ee3\u7801\u5df2\u4f7f\u7528\u4e09\u6570\u53d6\u4e2d\u6cd5\u9009\u51fa\u4e2d\u503c\u5143\u7d20&#xff0c;\u5e76\u5c06\u5176\u4ea4\u6362\u5230 a[left] \u4f4d\u7f6e\u3002\u6b64\u540e&#xff0c;\u4ee5 a[keyi] \u4f5c\u4e3a\u57fa\u51c6\u503c&#xff08;\u67a2\u8f74&#xff09;&#xff0c;\u5176\u4e2d keyi &#061; left\u3002<\/p>\n<p>\u6307\u9488\u521d\u59cb\u5316<\/p>\n<ul>\n<li>\u53f3\u6307\u9488 right \u521d\u59cb\u6307\u5411\u533a\u95f4\u53f3\u7aef\u70b9&#xff1b;<\/li>\n<li>\u5de6\u6307\u9488 left \u521d\u59cb\u6307\u5411\u533a\u95f4\u5de6\u7aef\u70b9\u3002<\/li>\n<\/ul>\n<p>\u5faa\u73af\u626b\u63cf\u4e0e\u4ea4\u6362<br \/>\n\u5728 left &lt; right \u7684\u6761\u4ef6\u4e0b&#xff0c;\u53cd\u590d\u6267\u884c\u4ee5\u4e0b\u6d41\u7a0b&#xff1a;<\/p>\n<li>\u53f3\u6307\u9488 right \u4e0d\u65ad\u5411\u5de6\u79fb\u52a8&#xff08;\u81ea\u51cf&#xff09;&#xff0c;\u76f4\u5230\u627e\u5230\u7b2c\u4e00\u4e2a\u4e25\u683c\u5c0f\u4e8e\u57fa\u51c6\u503c\u7684\u5143\u7d20&#xff0c;\u5373 a[right] &lt; a[keyi]\u3002\u79fb\u52a8\u8fc7\u7a0b\u4e2d\u59cb\u7ec8\u4fdd\u8bc1 left &lt; right\u3002<\/li>\n<li>\u5de6\u6307\u9488 left \u4e0d\u65ad\u5411\u53f3\u79fb\u52a8&#xff08;\u81ea\u589e&#xff09;&#xff0c;\u76f4\u5230\u627e\u5230\u7b2c\u4e00\u4e2a\u4e25\u683c\u5927\u4e8e\u57fa\u51c6\u503c\u7684\u5143\u7d20&#xff0c;\u5373 a[left] &gt; a[keyi]\u3002\u79fb\u52a8\u8fc7\u7a0b\u4e2d\u59cb\u7ec8\u4fdd\u8bc1 left &lt; right\u3002<\/li>\n<li>\u5982\u679c\u6b64\u65f6\u4ecd\u7136\u6ee1\u8db3 left &lt; right&#xff0c;\u8bf4\u660e\u5de6\u53f3\u5404\u627e\u5230\u4e86\u9700\u8981\u4ea4\u6362\u7684\u5143\u7d20&#xff0c;\u4e8e\u662f\u4ea4\u6362 a[left] \u548c a[right]&#xff0c;\u7136\u540e\u7ee7\u7eed\u4e0b\u4e00\u8f6e\u626b\u63cf\u3002<\/li>\n<li>\u82e5 left &gt;&#061; right&#xff0c;\u8bf4\u660e\u6307\u9488\u5df2\u7ecf\u76f8\u9047\u6216\u4ea4\u9519&#xff0c;\u626b\u63cf\u9636\u6bb5\u7ed3\u675f\u3002<\/li>\n<p>\u5faa\u73af\u4e0d\u53d8\u91cf<br \/>\n\u5728\u626b\u63cf\u7684\u5168\u8fc7\u7a0b\u4e2d&#xff0c;\u59cb\u7ec8\u6210\u7acb&#xff1a;<\/p>\n<ul>\n<li>\u6307\u9488 left \u5de6\u4fa7&#xff08;\u4e0d\u542b left \u672c\u8eab&#xff09;\u7684\u6240\u6709\u5143\u7d20\u5747 \u2264 a[keyi]&#xff1b;<\/li>\n<li>\u6307\u9488 right \u53f3\u4fa7&#xff08;\u4e0d\u542b right \u672c\u8eab&#xff09;\u7684\u6240\u6709\u5143\u7d20\u5747 \u2265 a[keyi]\u3002<\/li>\n<\/ul>\n<p>\u5206\u533a\u5b8c\u6210<br \/>\n\u5f53\u5de6\u53f3\u6307\u9488\u76f8\u9047\u6216\u4ea4\u9519\u540e&#xff0c;\u8bb0\u76f8\u9047\u4f4d\u7f6e\u4e3a meeti &#061; left&#xff08;\u6b64\u65f6\u6709 left &#061;&#061; right&#xff09;\u3002\u6700\u540e\u6267\u884c\u4e00\u6b21\u4ea4\u6362 swap(&amp;a[keyi], &amp;a[meeti])&#xff0c;\u5c06\u57fa\u51c6\u503c\u653e\u5165\u5b83\u5728\u5b8c\u5168\u6392\u5e8f\u540e\u7684\u6b63\u786e\u4f4d\u7f6e\u3002\u51fd\u6570\u6700\u7ec8\u8fd4\u56de meeti\u3002<\/p>\n<p>\u6b64\u65f6\u6570\u7ec4\u88ab\u5212\u5206\u4e3a\u4e09\u4e2a\u90e8\u5206&#xff1a;<\/p>\n<ul>\n<li>a[left_initial \u2026 meeti-1]&#xff1a;\u5143\u7d20\u5168\u90e8 \u2264 \u57fa\u51c6\u503c&#xff1b;<\/li>\n<li>a[meeti]&#xff1a;\u57fa\u51c6\u503c\u672c\u8eab&#xff0c;\u5df2\u5904\u4e8e\u6b63\u786e\u6392\u5e8f\u4f4d\u7f6e&#xff1b;<\/li>\n<li>a[meeti&#043;1 \u2026 right_initial]&#xff1a;\u5143\u7d20\u5168\u90e8 \u2265 \u57fa\u51c6\u503c\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>\u4e8c\u3001\u52a8\u56fe\u6f14\u793a<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260730091628-6a6b166c597a8.gif\" alt=\"\u8bf7\u6dfb\u52a0\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>\u4e09\u3001\u5feb\u901f\u6392\u5e8f\u7684\u590d\u6742\u5ea6\u4e0e\u7a33\u5b9a\u6027\u5206\u6790<\/h3>\n<h4>\u65f6\u95f4\u590d\u6742\u5ea6<\/h4>\n<p>\u5feb\u901f\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u53d6\u51b3\u4e8e\u6bcf\u6b21\u5206\u533a\u64cd\u4f5c\u7684\u5e73\u8861\u7a0b\u5ea6&#xff0c;\u4e0e\u6570\u636e\u5206\u5e03\u5bc6\u5207\u76f8\u5173\u3002<\/p>\n<ul>\n<li>\n<p>\u6700\u597d\u60c5\u51b5&#xff1a;O(n log n)<br \/>\n\u5f53\u6bcf\u6b21\u9009\u62e9\u7684\u57fa\u51c6\u503c&#xff08;\u67a2\u8f74&#xff09;\u90fd\u80fd\u5c06\u6570\u7ec4\u5747\u5300\u5212\u5206\u4e3a\u4e24\u4e2a\u5927\u5c0f\u76f8\u8fd1\u7684\u5b50\u533a\u95f4\u65f6&#xff0c;\u9012\u5f52\u6df1\u5ea6\u4e3a log n&#xff0c;\u6bcf\u5c42\u6bd4\u8f83\u6b21\u6570\u4e3a O(n)&#xff0c;\u603b\u590d\u6742\u5ea6\u4e3a O(n log n)\u3002<\/p>\n<\/li>\n<li>\n<p>\u6700\u574f\u60c5\u51b5&#xff1a;O(n\u00b2)<br \/>\n\u5f53\u6bcf\u6b21\u9009\u62e9\u7684\u57fa\u51c6\u503c\u90fd\u662f\u5f53\u524d\u533a\u95f4\u7684\u6700\u5c0f\u503c\u6216\u6700\u5927\u503c&#xff08;\u4f8b\u5982\u6570\u7ec4\u5df2\u6709\u5e8f&#xff0c;\u4e14\u672a\u505a\u4efb\u4f55\u4f18\u5316&#xff09;\u65f6&#xff0c;\u6bcf\u6b21\u5206\u533a\u53ea\u5212\u5206\u51fa\u4e00\u4e2a\u7a7a\u533a\u95f4\u548c\u4e00\u4e2a\u5927\u5c0f\u4e3a n-1 \u7684\u533a\u95f4&#xff0c;\u9012\u5f52\u6df1\u5ea6\u53d8\u4e3a n&#xff0c;\u6bcf\u5c42\u6bd4\u8f83\u6b21\u6570\u4e3a O(n)&#xff0c;\u603b\u590d\u6742\u5ea6\u9000\u5316\u4e3a O(n\u00b2)\u3002<br \/>\n\u901a\u8fc7 \u968f\u673a\u9009\u62e9\u57fa\u51c6 \u6216 \u4e09\u6570\u53d6\u4e2d\u6cd5 \u53ef\u5927\u5e45\u964d\u4f4e\u6700\u574f\u60c5\u51b5\u51fa\u73b0\u7684\u6982\u7387\u3002<\/p>\n<\/li>\n<li>\n<p>\u5e73\u5747\u60c5\u51b5&#xff1a;O(n log n)<br \/>\n\u5728\u968f\u673a\u6570\u636e\u4e0b&#xff0c;\u57fa\u51c6\u503c\u843d\u5728\u533a\u95f4\u4e2d\u90e8\u9644\u8fd1\u7684\u6982\u7387\u8f83\u9ad8&#xff0c;\u9012\u5f52\u6811\u8d8b\u4e8e\u5e73\u8861&#xff0c;\u6570\u5b66\u671f\u671b\u4e3a O(n log n)\u3002\u5feb\u901f\u6392\u5e8f\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u901a\u5e38\u8868\u73b0\u4f18\u5f02&#xff0c;\u5e38\u6570\u56e0\u5b50\u8f83\u5c0f\u3002<\/p>\n<\/li>\n<\/ul>\n<hr \/>\n<h4>\u7a7a\u95f4\u590d\u6742\u5ea6<\/h4>\n<p>\u5feb\u901f\u6392\u5e8f\u7684\u7a7a\u95f4\u6d88\u8017\u4e3b\u8981\u6765\u81ea\u9012\u5f52\u8c03\u7528\u6808&#xff0c;\u8f85\u52a9\u7a7a\u95f4\u4e3a O(1)&#xff08;\u539f\u5730\u5206\u533a&#xff09;\u3002<\/p>\n<ul>\n<li>\u9012\u5f52\u6808\u6df1\u5ea6&#xff1a;\n<ul>\n<li>\u5e73\u5747\u60c5\u51b5\u4e0b&#xff0c;\u9012\u5f52\u6df1\u5ea6\u4e3a O(log n)&#xff0c;\u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a O(log n)\u3002<\/li>\n<li>\u6700\u574f\u60c5\u51b5\u4e0b&#xff08;\u6781\u7aef\u4e0d\u5e73\u8861&#xff09;&#xff0c;\u9012\u5f52\u6df1\u5ea6\u4e3a O(n)&#xff0c;\u7a7a\u95f4\u590d\u6742\u5ea6\u9000\u5316\u4e3a O(n)\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u8f85\u52a9\u6570\u7ec4&#xff1a;\u65e0\u9700\u989d\u5916\u6570\u7ec4&#xff0c;\u6240\u6709\u4ea4\u6362\u5728\u539f\u6570\u7ec4\u4e0a\u5b8c\u6210&#xff0c;\u989d\u5916\u7a7a\u95f4\u4ec5\u7528\u4e8e\u51e0\u4e2a\u4e34\u65f6\u53d8\u91cf&#xff0c;\u4e3a O(1)\u3002<\/li>\n<\/ul>\n<p>\u82e5\u91c7\u7528\u5c3e\u9012\u5f52\u4f18\u5316\u6216\u8fed\u4ee3\u5b9e\u73b0&#xff0c;\u53ef\u5c06\u6808\u7a7a\u95f4\u8fdb\u4e00\u6b65\u964d\u4f4e&#xff0c;\u4f46\u6700\u574f\u60c5\u51b5\u4ecd\u53ef\u80fd\u8fbe\u5230 O(n)\u3002<\/p>\n<hr \/>\n<h4>\u7a33\u5b9a\u6027<\/h4>\n<p>\u5feb\u901f\u6392\u5e8f\u662f\u4e00\u79cd \u4e0d\u7a33\u5b9a \u7684\u6392\u5e8f\u7b97\u6cd5\u3002<\/p>\n<ul>\n<li>\u539f\u56e0&#xff1a;\u5728\u5206\u533a\u8fc7\u7a0b\u4e2d&#xff0c;\u5143\u7d20\u901a\u8fc7\u4ea4\u6362&#xff08;swap&#xff09;\u79fb\u52a8\u4f4d\u7f6e&#xff0c;\u76f8\u540c\u7684\u5143\u7d20\u53ef\u80fd\u56e0\u4e3a\u57fa\u51c6\u503c\u7684\u79fb\u52a8\u800c\u6539\u53d8\u76f8\u5bf9\u987a\u5e8f\u3002<\/li>\n<li>\u793a\u4f8b&#xff1a;\u6570\u7ec4 [2a, 1, 2b]&#xff08;\u4e24\u4e2a\u76f8\u7b49\u7684 2 \u5206\u522b\u6807\u8bb0\u4e3a a\u3001b&#xff09;&#xff0c;\u82e5\u57fa\u51c6\u503c\u4e3a 1&#xff0c;\u5219\u5206\u533a\u540e 2b \u53ef\u80fd\u88ab\u6362\u5230 2a \u524d\u9762&#xff0c;\u5bfc\u81f4\u76f8\u5bf9\u987a\u5e8f\u53d8\u5316\u3002<\/li>\n<\/ul>\n<p>\u82e5\u9700\u4fdd\u6301\u7a33\u5b9a\u6027&#xff0c;\u53ef\u9009\u62e9\u5f52\u5e76\u6392\u5e8f\u6216\u63d2\u5165\u6392\u5e8f\u7b49\u7a33\u5b9a\u7b97\u6cd5\u3002<\/p>\n<h3>\u56db\u3001\u793a\u4f8b\u4ee3\u7801<\/h3>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">define<\/span> <span class=\"token macro-name\">_CRT_SECURE_NO_WARNINGS<\/span><\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;assert.h&gt;<\/span><\/span><\/p>\n<p><span class=\"token comment\">\/\/\u4ea4\u6362<\/span><br \/>\n<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 operator\">*<\/span> p1<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> p2<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">*<\/span>p1<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token operator\">*<\/span>p1 <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">*<\/span>p2<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token operator\">*<\/span>p2 <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u4e09\u6570\u53d6\u4e2d<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">GetMidIndex<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a<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><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> left <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>right<span class=\"token operator\">&#8211;<\/span>left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> a<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br 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class=\"token operator\">&lt;<\/span> right <span class=\"token operator\">&amp;&amp;<\/span> a<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> a<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nright<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/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> a<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> a<span class=\"token punctuation\">[<\/span>keyi<span class=\"token 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function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> arr<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">9<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token 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