{"id":80636,"date":"2026-03-05T16:10:55","date_gmt":"2026-03-05T08:10:55","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/80636.html"},"modified":"2026-03-05T16:10:55","modified_gmt":"2026-03-05T08:10:55","slug":"%e3%80%90%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e3%80%91%e5%85%ab%e7%a7%8d%e5%b8%b8%e8%a7%81%e7%9a%84%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/80636.html","title":{"rendered":"\u3010\u6570\u636e\u7ed3\u6784\u3011\u516b\u79cd\u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>1.\u6392\u5e8f\u6982\u5ff5\u53ca\u8fd0\u2f64<\/li>\n<li>\n<ul>\n<li>1.1 \u6982\u5ff5<\/li>\n<li>1.2 \u5e38\u2ec5\u6392\u5e8f\u7b97\u6cd5<\/li>\n<\/ul>\n<\/li>\n<li>2.\u5b9e\u73b0\u5e38\u2ec5\u6392\u5e8f\u7b97\u6cd5<\/li>\n<li>\n<ul>\n<li>2.1 \u63d2\u2f0a\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>2.1.1 \u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f<\/li>\n<li>2.1.2 \u5e0c\u5c14\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>2.1.2.1 \u5e0c\u5c14\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8ba1\u7b97<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>2.2 \u9009\u62e9\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>2.2.1 \u76f4\u63a5\u9009\u62e9\u6392\u5e8f<\/li>\n<li>2.2.2 \u5806\u6392\u5e8f<\/li>\n<\/ul>\n<\/li>\n<li>2.3 \u4ea4\u6362\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>2.3.1 \u5192\u6ce1\u6392\u5e8f<\/li>\n<li>2.3.2 \u5feb\u901f\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>2.3.2.1 hoare\u7248\u672c&#xff08;\u91cd\u8981&#xff09;<\/li>\n<li>2.3.2.2 \u6316\u5751\u6cd5<\/li>\n<li>2.3.2.3 lomuto\u524d\u540e\u6307\u9488&#xff08;\u91cd\u8981&#xff09;<\/li>\n<li>2.3.2.4 \u2fae\u9012\u5f52\u7248\u672c&#xff08;\u91cd\u8981&#xff09;<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>2.4 \u5f52\u5e76\u6392\u5e8f &#xff08;\u91cd\u8981&#xff09;<\/li>\n<li>2.5 \u6d4b\u8bd5\u4ee3\u7801&#xff1a;\u6392\u5e8f\u6027\u80fd\u5bf9\u2f50<\/li>\n<li>2.6 \u2fae\u2f50\u8f83\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>2.6.1 \u8ba1\u6570\u6392\u5e8f<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>3.\u6392\u5e8f\u7b97\u6cd5\u590d\u6742\u5ea6\u53ca\u7a33\u5b9a\u6027\u5206\u6790<\/li>\n<\/ul>\n<h2>1.\u6392\u5e8f\u6982\u5ff5\u53ca\u8fd0\u2f64<\/h2>\n<h3>1.1 \u6982\u5ff5<\/h3>\n<p>\u6392\u5e8f&#xff1a;\u6240\u8c13\u6392\u5e8f&#xff0c;\u5c31\u662f\u4f7f\u2f00\u4e32\u8bb0\u5f55&#xff0c;\u6309\u7167\u5176\u4e2d\u7684\u67d0\u4e2a\u6216\u67d0\u4e9b\u5173\u952e\u5b57\u7684\u2f24\u2f29&#xff0c;\u9012\u589e\u6216\u9012\u51cf\u7684\u6392\u5217\u8d77\u6765\u7684\u64cd\u4f5c\u3002<\/p>\n<h3>1.2 \u5e38\u2ec5\u6392\u5e8f\u7b97\u6cd5<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081027-69a93a73431ee.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h2>2.\u5b9e\u73b0\u5e38\u2ec5\u6392\u5e8f\u7b97\u6cd5<\/h2>\n<h3>2.1 \u63d2\u2f0a\u6392\u5e8f<\/h3>\n<p>\u57fa\u672c\u601d\u60f3<\/p>\n<p>\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f\u662f\u2f00\u79cd\u7b80\u5355\u7684\u63d2\u2f0a\u6392\u5e8f\u6cd5&#xff0c;\u5176\u57fa\u672c\u601d\u60f3\u662f&#xff1a;\u628a\u5f85\u6392\u5e8f\u7684\u8bb0\u5f55\u6309\u5176\u5173\u952e\u7801\u503c\u7684\u2f24\u2f29\u9010\u4e2a\u63d2\u2f0a\u5230\u2f00\u4e2a\u5df2\u7ecf\u6392\u597d\u5e8f\u7684\u6709\u5e8f\u5e8f\u5217\u4e2d&#xff0c;\u76f4\u5230\u6240\u6709\u7684\u8bb0\u5f55\u63d2\u2f0a\u5b8c\u4e3a\u2f4c&#xff0c;\u5f97\u5230\u2f00\u4e2a\u65b0\u7684\u6709\u5e8f\u5e8f\u5217\u3002<\/p>\n<p>\u5b9e\u9645\u4e2d\u6211\u4eec\u73a9\u6251\u514b\u724c\u65f6&#xff0c;\u5c31\u2f64\u4e86\u63d2\u2f0a\u6392\u5e8f\u7684\u601d\u60f3<\/p>\n<h4>2.1.1 \u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f<\/h4>\n<p>\u5f53\u63d2\u2f0a\u7b2c i(i&gt;&#061;1) \u4e2a\u5143\u7d20\u65f6&#xff0c;\u524d\u2faf\u7684 arr[0]&#xff0c;arr[1]&#xff0c;\u2026arr[i-1] \u5df2\u7ecf\u6392\u597d\u5e8f&#xff0c;\u6b64\u65f6\u2f64 arr[i] \u7684\u6392\u5e8f\u7801\u4e0earr[i-1]&#xff0c;arr[i-2]\u2026 \u7684\u6392\u5e8f\u7801\u987a\u5e8f\u8fdb\u2f8f\u2f50\u8f83&#xff0c;\u627e\u5230\u63d2\u2f0a\u4f4d\u7f6e&#xff0c;\u5c06 array[i] \u63d2\u2f0a&#xff0c;\u539f\u6765\u4f4d\u7f6e\u4e0a\u7684\u5143\u7d20\u987a\u5e8f\u540e\u79fb<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">InsertSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/i\u8868\u793a\u6709\u5e8f\u6570\u7ec4\u7684\u6700\u540e\u4e00\u4e2a\u503c<\/span><br \/>\n    <span class=\"token comment\">\/\/arr[n-1]\u540e\u9762\u6ca1\u6709\u5f85\u6392\u5e8f\u7684\u6570&#xff0c;\u6240\u4ee5i&lt;n-1<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> i <span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>end <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/\u964d\u5e8f\u7528&#034;&lt;&#034;  <\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                end<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><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 punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">printArr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">&lt;<\/span>n<span class=\"token punctuation\">;<\/span>i<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\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%d &#034;<\/span><span class=\"token punctuation\">,<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n&#034;<\/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> <span class=\"token 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\">5<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">9<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> size<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">InsertSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span>size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">printArr<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span>size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f\u7684\u7279\u6027\u603b\u7ed3<\/p>\n<li>\u5143\u7d20\u96c6\u5408\u8d8a\u63a5\u8fd1\u6709\u5e8f&#xff0c;\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f\u7b97\u6cd5\u7684\u65f6\u95f4\u6548\u7387\u8d8a\u2fbc<\/li>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n<sup>2<\/sup>) \u3010\u6700\u5dee\u60c5\u51b5&#xff1a;1&#043;2&#043;\u2026\u2026&#043;n-1&#xff0c;\u6700\u597d\u60c5\u51b5(O(n))&#xff1a;1&#043;1&#043;\u2026\u2026&#043;1\u3011<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/li>\n<h4>2.1.2 \u5e0c\u5c14\u6392\u5e8f<\/h4>\n<p>\u5e0c\u5c14\u6392\u5e8f\u6cd5\u2f1c\u79f0\u7f29\u2f29\u589e\u91cf\u6cd5\u3002\u5e0c\u5c14\u6392\u5e8f\u6cd5\u7684\u57fa\u672c\u601d\u60f3\u662f&#xff1a;\u5148\u9009\u5b9a\u2f00\u4e2a\u6574\u6570&#xff08;\u901a\u5e38\u662fgap&#061;n\/3&#043;1&#xff09;&#xff0c;\u628a\u5f85\u6392\u5e8f\u2f42\u4ef6\u6240\u6709\u8bb0\u5f55\u5206\u6210\u5404\u7ec4&#xff0c;\u6240\u6709\u7684\u8ddd\u79bb\u76f8\u7b49\u7684\u8bb0\u5f55\u5206\u5728\u540c\u2f00\u7ec4\u5185&#xff0c;\u5e76\u5bf9\u6bcf\u2f00\u7ec4\u5185\u7684\u8bb0\u5f55\u8fdb\u2f8f\u6392\u5e8f&#xff0c;\u7136\u540egap&#061;gap\/3&#043;1\u5f97\u5230\u4e0b\u2f00\u4e2a\u6574\u6570&#xff0c;\u518d\u5c06\u6570\u7ec4\u5206\u6210\u5404\u7ec4&#xff0c;\u8fdb\u2f8f\u63d2\u2f0a\u6392\u5e8f&#xff0c;\u5f53gap&#061;1\u65f6&#xff0c;\u5c31\u76f8\u5f53\u4e8e\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f\u3002(gap\u4e3an&#xff0c;\u5c31\u5212\u5206\u4e3an\u7ec4)<\/p>\n<p>\u5b83\u662f\u5728\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f\u7b97\u6cd5\u7684\u57fa\u7840\u4e0a\u8fdb\u2f8f\u6539\u8fdb\u2f7d\u6765\u7684&#xff0c;\u7efc\u5408\u6765\u8bf4\u5b83\u7684\u6548\u7387\u80af\u5b9a\u662f\u8981\u2fbc\u4e8e\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f\u7b97\u6cd5\u7684\u3002<\/p>\n<p>\u5e0c\u5c14\u6392\u5e8f\u7684\u7279\u6027<\/p>\n<p>1.\u5e0c\u5c14\u6392\u5e8f\u662f\u5bf9\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f\u7684\u4f18\u5316\u3002<\/p>\n<li>\u5f53 gap &gt; 1 \u65f6\u90fd\u662f\u9884\u6392\u5e8f&#xff0c;\u2f6c\u7684\u662f\u8ba9\u6570\u7ec4\u66f4\u63a5\u8fd1\u4e8e\u6709\u5e8f\u3002\u5f53 gap &#061;&#061; 1 \u65f6&#xff0c;\u6570\u7ec4\u5df2\u7ecf\u63a5\u8fd1\u6709\u5e8f\u7684\u4e86&#xff0c;\u8fd9\u6837\u5c31\u4f1a\u5f88\u5feb\u3002\u8fd9\u6837\u6574\u4f53\u2f7d\u2f94&#xff0c;\u53ef\u4ee5\u8fbe\u5230\u4f18\u5316\u7684\u6548\u679c\u3002<\/li>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081032-69a93a7819fb1.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">ShellSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> gap <span class=\"token operator\">&#061;<\/span> n<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>gap <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        gap <span class=\"token operator\">&#061;<\/span> gap <span class=\"token operator\">\/<\/span> <span class=\"token number\">3<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/&#043;1\u662f\u56e0\u4e3a\u5f53gap&#061;1\u65f6\u662f\u76f4\u63a5\u63d2\u5165\u6392\u5e8f  <\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&#8211;<\/span> gap<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> gap<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>end <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> tmp<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> gap<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    end <span class=\"token operator\">-&#061;<\/span> gap<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token keyword\">else<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> gap<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 punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h5>2.1.2.1 \u5e0c\u5c14\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8ba1\u7b97<\/h5>\n<p>\u5e0c\u5c14\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4f30\u7b97&#xff1a;<\/p>\n<p>\u5916\u5c42\u5faa\u73af&#xff1a; \u5916\u5c42\u5faa\u73af\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u53ef\u4ee5\u76f4\u63a5\u7ed9\u51fa\u4e3a&#xff1a;O(log<sub>n<\/sub>) \u6216\u8005O(log<sub>3<\/sub>n) &#xff0c;\u5373O(logn)<\/p>\n<p>\u5185\u5c42\u5faa\u73af&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081032-69a93a78c70c0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081034-69a93a7a221b6.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>gap\u53d6\u503c\u6709&#xff08;\u4ee5\u96643\u4e3a\u4f8b&#xff09;&#xff1a;n\/3&#xff0c;n\/9&#xff0c;n\/27&#xff0c;\u2026 2&#xff0c;1<\/p>\n<p>\u2022 \u5f53gap\u4e3an\/3\u65f6&#xff0c;\u79fb\u52a8\u603b\u6570\u4e3a&#xff1a; n\/3\u2217(1 &#043; 2) &#061; n<\/p>\n<p>\u2022 \u5f53gap\u4e3an\/9\u65f6&#xff0c;\u79fb\u52a8\u603b\u6570\u4e3a&#xff1a; n\/9*(1 &#043; 2 &#043; 3 &#043; \u2026 &#043; 8) &#061; 4n<\/p>\n<p>\u2022 \u6700\u540e\u2f00\u8d9f&#xff0c;gap&#061;1\u5373\u76f4\u63a5\u63d2\u2f0a\u6392\u5e8f&#xff0c;\u5185\u5c42\u5faa\u73af\u6392\u5e8f\u6d88\u8017\u4e3an<\/p>\n<p>\u901a\u8fc7\u4ee5\u4e0a\u7684\u5206\u6790&#xff0c;\u53ef\u4ee5\u753b\u51fa\u8fd9\u6837\u7684\u66f2\u7ebf\u56fe&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081034-69a93a7a57470.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u56e0\u6b64&#xff0c;\u5e0c\u5c14\u6392\u5e8f\u5728\u6700\u521d\u548c\u6700\u540e\u7684\u6392\u5e8f\u7684\u6b21\u6570\u90fd\u4e3an&#xff0c;\u5373\u524d\u2f00\u9636\u6bb5\u6392\u5e8f\u6b21\u6570\u662f\u9010\u6e10\u4e0a\u5347\u7684\u72b6\u6001&#xff0c;\u5f53\u5230\u8fbe\u67d0\u2f00\u9876\u70b9\u65f6&#xff0c;\u6392\u5e8f\u6b21\u6570\u9010\u6e10\u4e0b\u964d\u2f84n&#xff0c;\u2f7d\u8be5\u9876\u70b9\u7684\u8ba1\u7b97\u6682\u65f6\u2f46\u6cd5\u7ed9\u51fa\u5177\u4f53\u7684\u8ba1\u7b97\u8fc7\u7a0b<\/p>\n<p>\u5e0c\u5c14\u6392\u5e8f\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u597d\u8ba1\u7b97&#xff0c;\u56e0\u4e3a gap \u7684\u53d6\u503c\u5f88\u591a&#xff0c;\u5bfc\u81f4\u5f88\u96be\u53bb\u8ba1\u7b97&#xff0c;\u56e0\u6b64\u5f88\u591a\u4e66\u4e2d\u7ed9\u51fa\u7684\u5e0c\u5c14\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u4e0d\u56fa\u5b9a\u3002<\/p>\n<p>\u300a\u6570\u636e\u7ed3\u6784(C\u8bed\u2f94\u7248)\u300b\u2014\u4e25\u851a\u654f\u4e66\u4e2d\u7ed9\u51fa\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081035-69a93a7b58175.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>2.2 \u9009\u62e9\u6392\u5e8f<\/h3>\n<p>\u9009\u62e9\u6392\u5e8f\u7684\u57fa\u672c\u601d\u60f3&#xff1a; \u6bcf\u2f00\u6b21\u4ece\u5f85\u6392\u5e8f\u7684\u6570\u636e\u5143\u7d20\u4e2d\u9009\u51fa\u6700\u2f29&#xff08;\u6216\u6700\u2f24&#xff09;\u7684\u2f00\u4e2a\u5143\u7d20&#xff0c;\u5b58\u653e\u5728\u5e8f\u5217\u7684\u8d77\u59cb\u4f4d\u7f6e&#xff0c;\u76f4\u5230\u5168\u90e8\u5f85\u6392\u5e8f\u7684\u6570\u636e\u5143\u7d20\u6392\u5b8c\u3002<\/p>\n<h4>2.2.1 \u76f4\u63a5\u9009\u62e9\u6392\u5e8f<\/h4>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/\u4f18\u5316\u540e<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">SelectSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> begin <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> end <span class=\"token operator\">&#061;<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>begin <span class=\"token operator\">&lt;<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> mini <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">,<\/span><br \/>\n        maxi <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> begin<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;&#061;<\/span> end<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>maxi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                maxi <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>mini<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                mini <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>begin <span class=\"token operator\">&#061;&#061;<\/span> maxi<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            maxi <span class=\"token operator\">&#061;<\/span> mini<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>mini<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>begin<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>maxi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token operator\">&#043;&#043;<\/span>begin<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token operator\">&#8212;<\/span>end<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u7684\u7279\u6027\u603b\u7ed3&#xff1a; 1. \u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u601d\u8003\u2fae\u5e38\u597d\u7406\u89e3&#xff0c;\u4f46\u662f\u6548\u7387\u4e0d\u662f\u5f88\u597d&#xff0c;\u5b9e\u9645\u4e2d\u5f88\u5c11\u4f7f\u2f64<\/p>\n<li>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(N<sup>2<\/sup>)<\/p>\n<\/li>\n<li>\n<p>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/p>\n<\/li>\n<h4>2.2.2 \u5806\u6392\u5e8f<\/h4>\n<p>\u5806\u6392\u5e8f(Heapsort)\u662f\u6307\u5229\u2f64\u5806\u79ef\u6811&#xff08;\u5806&#xff09;\u8fd9\u79cd\u6570\u636e\u7ed3\u6784\u6240\u8bbe\u8ba1\u7684\u2f00\u79cd\u6392\u5e8f\u7b97\u6cd5&#xff0c;\u5b83\u662f\u9009\u62e9\u6392\u5e8f\u7684\u2f00\u79cd\u3002\u5b83\u662f\u901a\u8fc7\u5806\u6765\u8fdb\u2f8f\u9009\u62e9\u6570\u636e\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\u6392\u5347\u5e8f\u8981\u5efa\u2f24\u5806&#xff0c;\u6392\u964d\u5e8f\u5efa\u2f29\u5806\u3002<\/p>\n<p>\u5806\u6392\u5e8f\u8bb2\u89e3\u94fe\u63a5<\/p>\n<h3>2.3 \u4ea4\u6362\u6392\u5e8f<\/h3>\n<p>\u4ea4\u6362\u6392\u5e8f\u57fa\u672c\u601d\u60f3&#xff1a; \u6240\u8c13\u4ea4\u6362&#xff0c;\u5c31\u662f\u6839\u636e\u5e8f\u5217\u4e2d\u4e24\u4e2a\u8bb0\u5f55\u952e\u503c\u7684\u2f50\u8f83\u7ed3\u679c\u6765\u5bf9\u6362\u8fd9\u4e24\u4e2a\u8bb0\u5f55\u5728\u5e8f\u5217\u4e2d\u7684\u4f4d\u7f6e<\/p>\n<p>\u4ea4\u6362\u6392\u5e8f\u7684\u7279\u70b9\u662f&#xff1a;\u5c06\u952e\u503c\u8f83\u2f24\u7684\u8bb0\u5f55\u5411\u5e8f\u5217\u7684\u5c3e\u90e8\u79fb\u52a8&#xff0c;\u952e\u503c\u8f83\u2f29\u7684\u8bb0\u5f55\u5411\u5e8f\u5217\u7684\u524d\u90e8\u79fb\u52a8<\/p>\n<h4>2.3.1 \u5192\u6ce1\u6392\u5e8f<\/h4>\n<p>\u524d\u2faf\u5728\u7b97\u6cd5\u9898\u4e2d\u6211\u4eec\u5df2\u7ecf\u63a5\u89e6\u8fc7\u5192\u6ce1\u6392\u5e8f\u7684\u601d\u8def\u4e86&#xff0c;\u5192\u6ce1\u6392\u5e8f\u662f\u2f00\u79cd\u6700\u57fa\u7840\u7684\u4ea4\u6362\u6392\u5e8f\u3002\u4e4b\u6240\u4ee5\u53eb\u505a\u5192\u6ce1\u6392\u5e8f&#xff0c;\u56e0\u4e3a\u6bcf\u2f00\u4e2a\u5143\u7d20\u90fd\u53ef\u4ee5\u50cf\u2f29\u2f53\u6ce1\u2f00\u6837&#xff0c;\u6839\u636e\u2f83\u2f9d\u2f24\u2f29\u2f00\u70b9\u2f00\u70b9\u5411\u6570\u7ec4\u7684\u2f00\u4fa7\u79fb\u52a8\u3002<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">BubbleSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> exchange <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&lt;<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">&#8211;<\/span>i <span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                exchange <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><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 keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>exchange <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">break<\/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 punctuation\">}<\/span><\/p>\n<p>\u5192\u6ce1\u6392\u5e8f\u7684\u7279\u6027\u603b\u7ed3<\/p>\n<p>\u2022 \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(N<sup>2<\/sup>)<\/p>\n<p>\u2022 \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/p>\n<h4>2.3.2 \u5feb\u901f\u6392\u5e8f<\/h4>\n<p>\u5feb\u901f\u6392\u5e8f\u662fHoare\u4e8e1962\u5e74\u63d0\u51fa\u7684\u2f00\u79cd\u2f06\u53c9\u6811\u7ed3\u6784\u7684\u4ea4\u6362\u6392\u5e8f\u2f45\u6cd5&#xff0c;\u5176\u57fa\u672c\u601d\u60f3\u4e3a&#xff1a;\u4efb\u53d6\u5f85\u6392\u5e8f\u5143\u7d20\u5e8f\u5217\u4e2d\u7684\u67d0\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u503c&#xff0c;\u6309\u7167\u8be5\u6392\u5e8f\u7801\u5c06\u5f85\u6392\u5e8f\u96c6\u5408\u5206\u5272\u6210\u4e24\u2f26\u5e8f\u5217&#xff0c;\u5de6\u2f26\u5e8f\u5217\u4e2d\u6240\u6709\u5143\u7d20\u5747\u2f29\u4e8e\u57fa\u51c6\u503c&#xff0c;\u53f3\u2f26\u5e8f\u5217\u4e2d\u6240\u6709\u5143\u7d20\u5747\u2f24\u4e8e\u57fa\u51c6\u503c&#xff0c;\u7136\u540e\u6700\u5de6\u53f3\u2f26\u5e8f\u5217\u91cd\u590d\u8be5\u8fc7\u7a0b&#xff0c;\u76f4\u5230\u6240\u6709\u5143\u7d20\u90fd\u6392\u5217\u5728\u76f8\u5e94\u4f4d\u7f6e\u4e0a\u4e3a\u2f4c\u3002<\/p>\n<p>\u5feb\u901f\u6392\u5e8f\u5b9e\u73b0\u4e3b\u6846\u67b6&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/\u5feb\u901f\u6392\u5e8f  <\/span><br \/>\n<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 operator\">*<\/span> arr<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\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&gt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n    <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 comment\">\/\/\u627e\u57fa\u51c6\u503c&#xff0c;\u5e76\u628a\u57fa\u51c6\u503c\u653e\u5230\u6307\u5b9a\u7684\u4f4d\u7f6e\u4e0a <\/span><\/p>\n<p>    <span class=\"token function\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> meet <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\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> meet <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u5982\u4f55\u627e\u57fa\u51c6\u503c&#xff0c;\u5e76\u628a\u57fa\u51c6\u503c\u653e\u5230\u6307\u5b9a\u7684\u4f4d\u7f6e\u4e0a&#xff1f;<\/p>\n<p>\u4e3b\u8981\u6709\u4ee5\u4e0b\u2f0f\u79cd\u5b9e\u73b0\u2f45\u5f0f&#xff1a;<\/p>\n<h5>2.3.2.1 hoare\u7248\u672c&#xff08;\u91cd\u8981&#xff09;<\/h5>\n<p>\u7b97\u6cd5\u601d\u8def&#xff1a; 1&#xff09;\u521b\u5efa\u5de6\u53f3\u6307\u9488&#xff0c;\u786e\u5b9a\u57fa\u51c6\u503c<\/p>\n<p>2&#xff09;right&#xff1a;\u4ece\u53f3\u5411\u5de6\u627e\u51fa\u2f50\u57fa\u51c6\u503c\u2f29\u7684\u6570\u636e&#xff0c;left&#xff1a;\u4ece\u5de6\u5411\u53f3\u627e\u51fa\u2f50\u57fa\u51c6\u503c\u2f24\u7684\u6570\u636e&#xff0c;\u5de6\u53f3\u6307\u9488\u6570\u636e\u4ea4\u6362&#xff0c;\u8fdb\u2f0a\u4e0b\u6b21\u5faa\u73af<\/p>\n<p>\u95ee\u98981&#xff1a;\u4e3a\u4ec0\u4e48\u8df3\u51fa\u5faa\u73af\u540eright\u4f4d\u7f6e\u7684\u503c\u2f00\u5b9a\u4e0d\u2f24\u4e8ekey&#xff1f; \u5f53 left &gt; right \u65f6&#xff0c;\u5373right\u2f9b\u5230left\u7684\u5de6\u4fa7&#xff0c;\u2f7dleft\u626b\u63cf\u8fc7\u7684\u6570\u636e\u5747\u4e0d\u2f24\u4e8ekey&#xff0c;\u56e0\u6b64right\u6b64\u65f6\u6307\u5411\u7684\u6570\u636e\u2f00\u5b9a\u4e0d\u2f24\u4e8ekey <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081035-69a93a7b8e680.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u95ee\u98982&#xff1a;\u4e3a\u4ec0\u4e48left\u548cright\u6307\u5b9a\u7684\u6570\u636e\u548ckey\u503c\u76f8\u7b49\u65f6\u4e5f\u8981\u4ea4\u6362&#xff1f; \u76f8\u7b49\u7684\u503c\u53c2\u4e0e\u4ea4\u6362\u786e\u5b9e\u6709\u2f00\u4e9b\u989d\u5916\u6d88\u8017\u3002\u4f46\u662f\u5b9e\u9645\u8fd8\u6709\u5404\u79cd\u590d\u6742\u7684\u573a\u666f&#xff0c;\u5047\u8bbe\u6570\u7ec4\u4e2d\u7684\u6570\u636e\u2f24\u91cf\u91cd\u590d\u65f6&#xff0c; \u2f46\u6cd5\u8fdb\u2f8f\u6709\u6548\u7684\u5206\u5272\u6392\u5e8f\u3002\u6bd4\u5982\u4e0b\u9762\u8fd9\u79cd\u60c5\u51b5<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081040-69a93a8028515.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p>tips&#xff1a;\u9012\u5f52\u7684\u65f6\u95f4\u590d\u6742\u5ea6&#061;\u5355\u6b21\u9012\u5f52\u7684\u65f6\u95f4* \u5faa\u73af\u6b21\u6570&#061;nlogn<\/p>\n<p>\u5faa\u73af\u6b21\u6570\u662f\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6&#xff0c;\u6ee1\u4e8c\u53c9\u6811\u7684\u7ed3\u70b9\u4e2a\u6570n&#061;2<sup>k<\/sup>-1&#xff0c;\u5219k&#061;log<sub>2<\/sub>n&#043;1<\/p>\n<p><span class=\"token comment\">\/\/ \u627e\u57fa\u51c6\u503c&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6\u4e0d\u662fn^2,\u800c\u662fn&#xff0c;\u56e0\u4e3a\u4e24\u5c42while\u5faa\u73af\u53ea\u5faa\u73af\u4e86\u4e00\u904d\u6570\u7ec4<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">_QuickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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> keyi <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\nleft <span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/right:\u4ece\u53f3\u5f80\u5de6\u627e\u5c0f\u4e8e\u57fa\u51c6\u503c\u7684<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token operator\">&amp;&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token operator\">&#8212;<\/span>right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/left&#xff1a;\u4ece\u5de6\u5f80\u53f3\u627e\u5927\u4e8e\u57fa\u51c6\u503c\u7684<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token operator\">&amp;&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token operator\">&#043;&#043;<\/span>left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd9\u91cc\u627e\u5230left\u6bd4\u57fa\u51c6\u503c\u5927&#xff0c;right\u6bd4\u57fa\u51c6\u503c\u5c0f<\/span><br \/>\n<span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>right<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/right\u7684\u4f4d\u7f6e\u5c31\u662f\u57fa\u51c6\u503c\u7684\u4f4d\u7f6e<\/span><br \/>\n<span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u5feb\u901f\u6392\u5e8f<\/span><br \/>\n<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 operator\">*<\/span> arr<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\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&gt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<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 comment\">\/\/\u627e\u57fa\u51c6\u503ckeyi<\/span><br \/>\n<span class=\"token keyword\">int<\/span> keyi <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">_QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<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 comment\">\/\/\u5de6\u53f3\u5e8f\u5217\u9012\u5f52\u7ee7\u7eed\u6392\u5e8f<\/span><br \/>\n<span class=\"token function\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> keyi <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\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> keyi <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u5982\u679c\u57fa\u51c6\u503c\u627e\u7684\u4e0d\u597d\/\u6570\u7ec4\u6709\u5e8f&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6\u4e3an^2\u3002<\/p>\n<h5>2.3.2.2 \u6316\u5751\u6cd5<\/h5>\n<p>\u601d\u8def&#xff1a; \u521b\u5efa\u5de6\u53f3\u6307\u9488\u3002\u2fb8\u5148\u4ece\u53f3\u5411\u5de6\u627e\u51fa\u2f50\u57fa\u51c6\u2f29\u7684\u6570\u636e&#xff0c;\u627e\u5230\u540e\u2f74\u5373\u653e\u2f0a\u5de6\u8fb9\u5751\u4e2d&#xff0c;\u5f53\u524d\u4f4d\u7f6e\u53d8\u4e3a\u65b0\u7684&#034;\u5751&#034;&#xff0c;\u7136\u540e\u4ece\u5de6\u5411\u53f3\u627e\u51fa\u2f50\u57fa\u51c6\u2f24\u7684\u6570\u636e&#xff0c;\u627e\u5230\u540e\u2f74\u5373\u653e\u2f0a\u53f3\u8fb9\u5751\u4e2d&#xff0c;\u5f53\u524d\u4f4d\u7f6e\u53d8\u4e3a\u65b0\u7684&#034;\u5751&#034;&#xff0c;\u7ed3 \u675f\u5faa\u73af\u540e\u5c06\u6700\u5f00\u59cb\u5b58\u50a8\u7684\u5206\u754c\u503c\u653e\u2f0a\u5f53\u524d\u7684&#034;\u5751&#034;\u4e2d&#xff0c;\u8fd4\u56de\u5f53\u524d&#034;\u5751&#034;\u4e0b\u6807&#xff08;\u5373\u5206\u754c\u503c\u4e0b\u6807&#xff09;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081045-69a93a859910b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">_QuickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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> hole <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> arr<span class=\"token punctuation\">[<\/span>hole<span class=\"token punctuation\">]<\/span><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 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> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token operator\">&#8212;<\/span>right<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        arr<span class=\"token punctuation\">[<\/span>hole<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        hole <span class=\"token operator\">&#061;<\/span> right<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> arr<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token operator\">&#043;&#043;<\/span>left<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        arr<span class=\"token punctuation\">[<\/span>hole<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        hole <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    arr<span class=\"token punctuation\">[<\/span>hole<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> hole<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h5>2.3.2.3 lomuto\u524d\u540e\u6307\u9488&#xff08;\u91cd\u8981&#xff09;<\/h5>\n<p>\u521b\u5efa\u524d\u540e\u6307\u9488&#xff0c;\u4ece\u5de6\u5f80\u53f3\u627e\u2f50\u57fa\u51c6\u503c\u2f29\u7684\u8fdb\u2f8f\u4ea4\u6362&#xff0c;\u4f7f\u5f97\u2f29\u7684\u90fd\u6392\u5728\u57fa\u51c6\u503c\u7684\u5de6\u8fb9\u3002 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081046-69a93a861444b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">_QuickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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> prev <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">,<\/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 keyword\">int<\/span> key <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/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><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>key<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>prev <span class=\"token operator\">!&#061;<\/span> cur<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token operator\">&#043;&#043;<\/span>cur<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>key<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><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<p>\u5feb\u901f\u6392\u5e8f\u7279\u6027\u603b\u7ed3&#xff1a; 1. \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(nlogn) 2. \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(logn)<\/p>\n<h5>2.3.2.4 \u2fae\u9012\u5f52\u7248\u672c&#xff08;\u91cd\u8981&#xff09;<\/h5>\n<p>\u2fae\u9012\u5f52\u7248\u672c\u7684\u5feb\u901f\u6392\u5e8f\u9700\u8981\u501f\u52a9\u6570\u636e\u7ed3\u6784&#xff1a;\u6808<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">QuickSortNonR<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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    ST st<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">STInit<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span><span class=\"token function\">STEmpty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<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> begin <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">STTop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">STPop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">STTop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">STPop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5355\u8d9f  <\/span><br \/>\n        <span class=\"token keyword\">int<\/span> keyi <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> prev <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> cur <span class=\"token operator\">&#061;<\/span> begin <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur <span class=\"token operator\">&lt;&#061;<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>prev <span class=\"token operator\">!&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token operator\">&#043;&#043;<\/span>cur<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        keyi <span class=\"token operator\">&#061;<\/span> prev<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ [begin, keyi-1] keyi [keyi&#043;1, end]  <\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>keyi <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&lt;<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> keyi <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>begin <span class=\"token operator\">&lt;<\/span> keyi<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> keyi<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\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> begin<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 function\">STDestroy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h3>2.4 \u5f52\u5e76\u6392\u5e8f &#xff08;\u91cd\u8981&#xff09;<\/h3>\n<p>\u5f52\u5e76\u6392\u5e8f\u7b97\u6cd5\u601d\u60f3&#xff1a; \u5f52\u5e76\u6392\u5e8f&#xff08;MERGE-SORT&#xff09;\u662f\u5efa\u2f74\u5728\u5f52\u5e76\u64cd\u4f5c\u4e0a\u7684\u2f00\u79cd\u6709\u6548\u7684\u6392\u5e8f\u7b97\u6cd5&#xff0c;\u8be5\u7b97\u6cd5\u662f\u91c7\u2f64\u5206\u6cbb\u6cd5&#xff08;Divide andConquer&#xff09;\u7684\u2f00\u4e2a\u2fae\u5e38\u5178\u578b\u7684\u5e94\u2f64\u3002\u5c06\u5df2\u6709\u5e8f\u7684\u2f26\u5e8f\u5217\u5408\u5e76&#xff0c;\u5f97\u5230\u5b8c\u5168\u6709\u5e8f\u7684\u5e8f\u5217&#xff1b;\u5373\u5148\u4f7f\u6bcf\u4e2a\u2f26\u5e8f\u5217\u6709\u5e8f&#xff0c;\u518d\u4f7f\u2f26\u5e8f\u5217\u6bb5\u95f4\u6709\u5e8f\u3002\u82e5\u5c06\u4e24\u4e2a\u6709\u5e8f\u8868\u5408\u5e76\u6210\u2f00\u4e2a\u6709\u5e8f\u8868&#xff0c;\u79f0\u4e3a\u2f06\u8def\u5f52\u5e76\u3002<\/p>\n<p>\u5f52\u5e76\u9012\u5f52\u6392\u5e8f\u6838\u2f3c\u6b65\u9aa4&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081046-69a93a8661804.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0<\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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 keyword\">int<\/span><span class=\"token operator\">*<\/span> tmp<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&gt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n    <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> mid <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#043;<\/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 comment\">\/\/[left,mid] [mid&#043;1,right] <\/span><br \/>\n    <span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> mid<span class=\"token punctuation\">,<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">,<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> begin1 <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">,<\/span> end1 <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> begin2 <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> end2 <span class=\"token operator\">&#061;<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> index <span class=\"token operator\">&#061;<\/span> begin1<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token comment\">\/\/\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u6570\u7ec4\u4e3a\u2f00\u4e2a\u6570\u7ec4  <\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>begin1 <span class=\"token operator\">&lt;&#061;<\/span> end1 <span class=\"token operator\">&amp;&amp;<\/span> begin2 <span class=\"token operator\">&lt;&#061;<\/span> end2<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>begin1<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>begin2<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            tmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin1<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            tmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin2<span class=\"token operator\">&#043;&#043;<\/span><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 keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>begin1 <span class=\"token operator\">&lt;&#061;<\/span> end1<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        tmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin1<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/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>begin2 <span class=\"token operator\">&lt;&#061;<\/span> end2<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        tmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin2<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">[<\/span>i<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 keyword\">void<\/span> <span class=\"token function\">MergeSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> tmp <span class=\"token operator\">&#061;<\/span> new <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    delete<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u5f52\u5e76\u6392\u5e8f\u7279\u6027\u603b\u7ed3&#xff1a; 1. \u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(nlogn) 2. \u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(n)<\/p>\n<h3>2.5 \u6d4b\u8bd5\u4ee3\u7801&#xff1a;\u6392\u5e8f\u6027\u80fd\u5bf9\u2f50<\/h3>\n<p><span class=\"token comment\">\/\/ \u6d4b\u8bd5\u6392\u5e8f\u7684\u6027\u80fd\u5bf9\u2f50<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">TestOP<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token function\">srand<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">time<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> N <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">100000<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a1 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a2 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a3 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a4 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a5 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a6 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a7 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> N<span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">rand<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        a2<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        a3<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        a4<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        a5<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        a6<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        a7<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<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> begin1 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">InsertSort<\/span><span class=\"token punctuation\">(<\/span>a1<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> end1 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> begin2 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">ShellSort<\/span><span class=\"token punctuation\">(<\/span>a2<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> end2 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> begin3 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">SelectSort<\/span><span class=\"token punctuation\">(<\/span>a3<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> end3 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> begin4 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">HeapSort<\/span><span class=\"token punctuation\">(<\/span>a4<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> end4 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> begin5 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>a5<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> N<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 keyword\">int<\/span> end5 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> begin6 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">MergeSort<\/span><span class=\"token punctuation\">(<\/span>a6<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> end6 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> begin7 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">BubbleSort<\/span><span class=\"token punctuation\">(<\/span>a7<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> end7 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;InsertSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end1 <span class=\"token operator\">&#8211;<\/span> begin1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;ShellSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end2 <span class=\"token operator\">&#8211;<\/span> begin2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;SelectSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end3 <span class=\"token operator\">&#8211;<\/span> begin3<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;HeapSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end4 <span class=\"token operator\">&#8211;<\/span> begin4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;QuickSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end5 <span class=\"token operator\">&#8211;<\/span> begin5<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;MergeSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end6 <span class=\"token operator\">&#8211;<\/span> begin6<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;BubbleSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end7 <span class=\"token operator\">&#8211;<\/span> begin7<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a3<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a5<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a6<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a7<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h3>2.6 \u2fae\u2f50\u8f83\u6392\u5e8f<\/h3>\n<h4>2.6.1 \u8ba1\u6570\u6392\u5e8f<\/h4>\n<p>\u8ba1\u6570\u6392\u5e8f\u2f1c\u79f0\u4e3a\u9e3d\u5de2\u539f\u7406&#xff0c;\u662f\u5bf9\u54c8\u5e0c\u76f4\u63a5\u5b9a\u5740\u6cd5\u7684\u53d8\u5f62\u5e94\u2f64\u3002<\/p>\n<p>\u64cd\u4f5c\u6b65\u9aa4&#xff1a; 1&#xff09;\u7edf\u8ba1\u76f8\u540c\u5143\u7d20\u51fa\u73b0\u6b21\u6570<\/p>\n<p>2&#xff09;\u6839\u636e\u7edf\u8ba1\u7684\u7ed3\u679c\u5c06\u5e8f\u5217\u56de\u6536\u5230\u539f\u6765\u7684\u5e8f\u5217\u4e2d\u4ee3\u7801\u5b9e\u73b0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081048-69a93a88f0502.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081049-69a93a89e63fb.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">CountSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/\u627emin&#xff0c;max<\/span><br \/>\n<span class=\"token keyword\">int<\/span> min <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> max <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> max<span class=\"token punctuation\">)<\/span><br \/>\nmax <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> min<span class=\"token punctuation\">)<\/span><br \/>\nmin <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token comment\">\/\/\u786e\u5b9a\u6570\u7ec4\u5927\u5c0frange<\/span><br \/>\n<span class=\"token keyword\">int<\/span> range <span class=\"token operator\">&#061;<\/span> max <span class=\"token operator\">&#8211;<\/span> min <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> count <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> range<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>count <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">perror<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;malloc fail&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">exit<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token comment\">\/\/\u5bf9count\u521d\u59cb\u5316&#8212;-calloc&#xff0c;memset<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>count<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> range<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/ \u7edf\u8ba1\u6b21\u6570  <\/span><br \/>\n    <span class=\"token comment\">\/\/\u901a\u8fc7\u6620\u5c04\u7684\u65b9\u5f0f\u5c06\u6570\u7ec4\u4fdd\u5b58\u5728count\u6570\u7ec4\u4e2d<\/span><br \/>\n    <span class=\"token comment\">\/\/\u6620\u5c04\u7684\u65b9\u5f0f&#061;&#061;\u539f\u6570\u7ec4\u7684\u503c-min<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ncount<span class=\"token punctuation\">[<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#8211;<\/span> min<span class=\"token punctuation\">]<\/span><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\">\/\/\u5c06count\u6570\u7ec4\u4e2d\u7684\u6570\u636e\u8fd8\u539f\u5230arr\u6570\u7ec4\u4e2d <\/span><br \/>\n<span class=\"token keyword\">int<\/span> index <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> range<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/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>count<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> i <span class=\"token operator\">&#043;<\/span> min<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>count<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u8ba1\u6570\u6392\u5e8f\u7684\u7279\u6027&#xff1a; \u8ba1\u6570\u6392\u5e8f\u5728\u6570\u636e\u8303\u56f4\u96c6\u4e2d\u65f6&#xff0c;\u6548\u7387\u5f88\u2fbc&#xff0c;\u4f46\u662f\u9002\u2f64\u8303\u56f4\u53ca\u573a\u666f\u6709\u9650\u3002<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n &#043; range)<\/p>\n<p>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(range)<\/p>\n<p>\u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a<\/p>\n<h2>3.\u6392\u5e8f\u7b97\u6cd5\u590d\u6742\u5ea6\u53ca\u7a33\u5b9a\u6027\u5206\u6790<\/h2>\n<p>\u7a33\u5b9a\u6027&#xff1a;\u5047\u5b9a\u5728\u5f85\u6392\u5e8f\u7684\u8bb0\u5f55\u5e8f\u5217\u4e2d&#xff0c;\u5b58\u5728\u591a\u4e2a\u5177\u6709\u76f8\u540c\u7684\u5173\u952e\u5b57\u7684\u8bb0\u5f55&#xff0c;\u82e5\u7ecf\u8fc7\u6392\u5e8f&#xff0c;\u8fd9\u4e9b\u8bb0\u5f55\u7684 \u76f8\u5bf9\u6b21\u5e8f\u4fdd\u6301\u4e0d\u53d8&#xff0c;\u5373\u5728\u539f\u5e8f\u5217\u4e2d&#xff0c;r[i]&#061;r[j]&#xff0c;\u4e14r[i]\u5728r[j]\u4e4b\u524d&#xff0c;\u2f7d\u5728\u6392\u5e8f\u540e\u7684\u5e8f\u5217\u4e2d&#xff0c;r[i]\u4ecd\u5728r[j]\u4e4b\u524d&#xff0c;\u5219\u79f0\u8fd9\u79cd\u6392\u5e8f\u7b97\u6cd5\u662f\u7a33\u5b9a\u7684&#xff1b;\u5426\u5219\u79f0\u4e3a\u4e0d\u7a33\u5b9a\u7684\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081053-69a93a8d16fd2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u56db\u79cd\u4e0d\u7a33\u5b9a\u6392\u5e8f\u4e3e\u4f8b<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081054-69a93a8e0281a.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081054-69a93a8e239fc.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/03\/20260305081054-69a93a8e31dba.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> \u672c\u8282\u5168\u90e8\u4ee3\u7801\u6c47\u603b<\/p>\n<p><span class=\"token comment\">\/\/Sort.h<\/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\">&#034;Sort.h&#034;<\/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\">&#034;Stack.h&#034;<\/span><\/span><br \/>\n<span class=\"token comment\">\/\/\u76f4\u63a5\u63d2\u5165\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">InsertSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token comment\">\/\/i\u8868\u793a\u6709\u5e8f\u6570\u7ec4\u7684\u6700\u540e\u4e00\u4e2a\u4f4d\u7f6e<\/span><br \/>\n    <span class=\"token comment\">\/\/arr[n-1]\u540e\u9762\u6ca1\u6709\u5f85\u6392\u5e8f\u7684\u6570&#xff0c;\u6240\u4ee5i&lt;n-1<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>end <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/\u964d\u5e8f\u7528&#034;&lt;&#034;  <\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                end<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><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 punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5e0c\u5c14\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">ShellSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> gap <span class=\"token operator\">&#061;<\/span> n<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>gap <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ngap <span class=\"token operator\">&#061;<\/span> gap <span class=\"token operator\">\/<\/span> <span class=\"token number\">3<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&#8211;<\/span> gap<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> gap<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>end <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> tmp<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> gap<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nend <span class=\"token operator\">-&#061;<\/span> gap<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>end <span class=\"token operator\">&#043;<\/span> gap<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 punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><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> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> y<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">*<\/span>x<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token operator\">*<\/span>x <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">*<\/span>y<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token operator\">*<\/span>y <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5411\u4e0b\u8c03\u6574\u7b97\u6cd5 logn<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">AdjustDown<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> parent<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> child <span class=\"token operator\">&#061;<\/span> parent <span class=\"token operator\">*<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>child <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/\u5efa\u5927\u5806&#xff1a;&lt;<\/span><br \/>\n<span class=\"token comment\">\/\/\u5efa\u5c0f\u5806: &gt;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>child <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&amp;&amp;<\/span> arr<span class=\"token punctuation\">[<\/span>child<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>child <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nchild<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\">\/\/\u5b69\u5b50\u548c\u7236\u4eb2\u6bd4\u8f83<\/span><br \/>\n<span class=\"token comment\">\/\/\u5efa\u5927\u5806&#xff1a;&gt;<\/span><br \/>\n<span class=\"token comment\">\/\/\u5efa\u5c0f\u5806:&lt;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>child<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>parent<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>child<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>parent<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> child<span class=\"token punctuation\">;<\/span><br \/>\nchild <span class=\"token operator\">&#061;<\/span> parent <span class=\"token operator\">*<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">break<\/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 punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5806\u6392\u5e8f\u2014\u2014\u2014\u2014\u4f7f\u7528\u7684\u662f\u5806\u7ed3\u6784\u7684\u601d\u60f3 n * logn<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">HeapSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/\u5411\u4e0b\u8c03\u6574\u7b97\u6cd5\u2014\u2014\u5efa\u5806n<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">AdjustDown<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">,<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8c03\u6574\u5806&#xff0c;\u4f7f\u5176\u6ee1\u8db3\u5806\u7684\u6027\u8d28<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\/\/\u5411\u4e0a\u8c03\u6574\u7b97\u6cd5\u5efa\u5806n*logn<\/span><br \/>\n<span class=\"token comment\">\/\/for (int i &#061; 0; i &lt; n; i&#043;&#043;)<\/span><br \/>\n<span class=\"token comment\">\/\/{<\/span><br \/>\n<span class=\"token comment\">\/\/AdjustUp(arr, i);<\/span><br \/>\n<span class=\"token comment\">\/\/}<\/span><\/p>\n<p><span class=\"token comment\">\/\/n*logn<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>end <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">AdjustDown<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/logn<\/span><br \/>\nend<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/1)\u76f4\u63a5\u9009\u62e9\u6392\u5e8f<\/span><br \/>\n<span class=\"token comment\">\/\/void SelectSort(int* arr, int n)<\/span><br \/>\n<span class=\"token comment\">\/\/{<\/span><br \/>\n<span class=\"token comment\">\/\/for (int i &#061; 0; i &lt; n-1; i&#043;&#043;)<\/span><br \/>\n<span class=\"token comment\">\/\/{<\/span><br \/>\n<span class=\"token comment\">\/\/int min &#061; i;<\/span><br \/>\n<span class=\"token comment\">\/\/for (int j &#061; i&#043;1; j &lt; n; j&#043;&#043;)<\/span><br \/>\n<span class=\"token comment\">\/\/{<\/span><br \/>\n<span class=\"token comment\">\/\/if (arr[j] &lt; arr[min])<\/span><br \/>\n<span class=\"token comment\">\/\/min &#061; j;<\/span><br \/>\n<span class=\"token comment\">\/\/}<\/span><br \/>\n<span class=\"token comment\">\/\/Swap(&amp;arr[min], &amp;arr[i]);<\/span><br \/>\n<span class=\"token comment\">\/\/}<\/span><br \/>\n<span class=\"token comment\">\/\/}<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">SelectSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> begin <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> end <span class=\"token operator\">&#061;<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>begin <span class=\"token operator\">&lt;<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> mini <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span>maxi <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u6bd4\u8f83\u6bcf\u4e2a\u6570<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> begin<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;&#061;<\/span> end<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>maxi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nmaxi <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>mini<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nmini <span class=\"token operator\">&#061;<\/span> i<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\">\/\/\u5f53\u5f00\u5934\u5c31\u662f\u6700\u5927\u503c\u65f6&#xff0c;\u6700\u5c0f\u503c\u4f1a\u548c\u5f00\u5934\u4ea4\u6362&#xff0c;&amp;arr[maxi]\u6b64\u65f6\u5b58\u7684\u662f\u6700\u5c0f\u503c<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>begin <span class=\"token operator\">&#061;&#061;<\/span> maxi<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nmaxi <span class=\"token operator\">&#061;<\/span> mini<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>mini<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>begin<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>maxi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token operator\">&#043;&#043;<\/span>begin<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token operator\">&#8212;<\/span>end<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5192\u6ce1\u6392\u5e8f n^2<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">BubbleSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> exchange <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&#8211;<\/span> i <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&gt;<\/span>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nexchange <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><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 keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>exchange <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u627e\u57fa\u51c6\u503choare<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">_QuickSort1<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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> keyi <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\nleft<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/right:\u4ece\u53f3\u5f80\u5de6\u627e\u5c0f\u4e8e\u57fa\u51c6\u503c\u7684<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right <span class=\"token operator\">&amp;&amp;<\/span> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token operator\">&#8212;<\/span>right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/left&#xff1a;\u4ece\u5de6\u5f80\u53f3\u627e\u5927\u4e8e\u57fa\u51c6\u503c\u7684<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right <span class=\"token operator\">&amp;&amp;<\/span> arr<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token operator\">&#043;&#043;<\/span>left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd9\u91cc\u627e\u5230left\u6bd4\u57fa\u51c6\u503c\u5927&#xff0c;right\u6bd4\u57fa\u51c6\u503c\u5c0f<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>right<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/right\u7684\u4f4d\u7f6e\u5c31\u662f\u57fa\u51c6\u503c\u7684\u4f4d\u7f6e<\/span><br \/>\n<span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u6316\u5751\u6cd5<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">_QuickSort2<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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> hole <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> arr<span class=\"token punctuation\">[<\/span>hole<span class=\"token punctuation\">]<\/span><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 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> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token operator\">&#8212;<\/span>right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>hole<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nhole <span class=\"token operator\">&#061;<\/span> right<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> arr<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token operator\">&#043;&#043;<\/span>left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>hole<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nhole <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>hole<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> hole<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/lomuto<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">_QuickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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> prev <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">,<\/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 keyword\">int<\/span> key <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/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><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>key<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>prev <span class=\"token operator\">!&#061;<\/span> cur<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token operator\">&#043;&#043;<\/span>cur<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>key<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><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<p><span class=\"token comment\">\/\/\u5feb\u901f\u6392\u5e8f<\/span><br \/>\n<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 operator\">*<\/span> arr<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\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&gt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><br \/>\n<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 comment\">\/\/\u627e\u57fa\u51c6\u503ckeyi<\/span><br \/>\n<span class=\"token keyword\">int<\/span> keyi <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">_QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<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 comment\">\/\/\u5de6\u53f3\u5e8f\u5217\u9012\u5f52\u7ee7\u7eed\u6392\u5e8f<\/span><br \/>\n<span class=\"token function\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> keyi <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\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> keyi <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u975e\u9012\u5f52\u5feb\u901f\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">QuickSortNonR<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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 \/>\nST st<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">STInit<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span><span class=\"token function\">STEmpty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<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> begin <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">STTop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">STPop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">STTop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">STPop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/[begin,end]&#8212;\u5728\u8fd9\u4e2a\u8303\u56f4\u91cc\u627e\u57fa\u51c6\u503c<\/span><br \/>\n<span class=\"token comment\">\/\/ \u4f7f\u7528lomuto\u6cd5<\/span><br \/>\n<span class=\"token keyword\">int<\/span> keyi <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> prev <span class=\"token operator\">&#061;<\/span> begin<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> cur <span class=\"token operator\">&#061;<\/span> begin <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur <span class=\"token operator\">&lt;&#061;<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>prev <span class=\"token operator\">!&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token function\">Swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>cur<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token operator\">&#043;&#043;<\/span>cur<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><span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>keyi<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>arr<span class=\"token punctuation\">[<\/span>prev<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\nkeyi <span class=\"token operator\">&#061;<\/span> prev<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/\u6b64\u65f6keyi\u53c8\u6210\u4e3a\u4e86\u57fa\u51c6\u503c\u7684\u4f4d\u7f6e<\/span><br \/>\n<span class=\"token comment\">\/\/\u5de6\u5e8f\u5217[begin, keyi-1] <\/span><br \/>\n<span class=\"token comment\">\/\/\u53f3\u5e8f\u5217[keyi&#043;1, end]  <\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>keyi <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&lt;<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> keyi <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>begin <span class=\"token operator\">&lt;<\/span> keyi <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> keyi <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\">STPush<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">,<\/span> begin<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 function\">STDestroy<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">&amp;<\/span>st<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5f52\u5e76\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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 keyword\">int<\/span><span class=\"token operator\">*<\/span> tmp<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/\u5206\u89e3<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&gt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/\u867d\u7136\u6ca1\u6709&gt;\u7684\u53ef\u80fd&#xff0c;\u4f46\u662f\u8fd9\u6837\u4ee3\u7801\u5065\u58ee\u6027\u66f4\u597d&#xff0c;\u53ea\u5199&#061;&#061;\u4e5f\u53ef\u4ee5<\/span><br \/>\n<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> mid <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#043;<\/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 comment\">\/\/\u5de6\u5e8f\u5217&#xff1a;[left,mid] <\/span><br \/>\n<span class=\"token comment\">\/\/\u53f3\u5e8f\u5217&#xff1a;[mid&#043;1,right]<\/span><br \/>\n<span class=\"token comment\">\/\/ \u5de6\u5e8f\u5217\u7ee7\u7eed\u4e8c\u5206<\/span><br \/>\n<span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> mid<span class=\"token punctuation\">,<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u53f3\u5e8f\u5217\u4e8c\u5206<\/span><br \/>\n<span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">,<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u6570\u7ec4\u4e3a\u2f00\u4e2a\u6570\u7ec4  <\/span><br \/>\n<span class=\"token keyword\">int<\/span> begin1 <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">,<\/span> end1 <span class=\"token operator\">&#061;<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> begin2 <span class=\"token operator\">&#061;<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> end2 <span class=\"token operator\">&#061;<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> index <span class=\"token operator\">&#061;<\/span> begin1<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>begin1 <span class=\"token operator\">&lt;&#061;<\/span> end1 <span class=\"token operator\">&amp;&amp;<\/span> begin2 <span class=\"token operator\">&lt;&#061;<\/span> end2<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>begin1<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>begin2<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ntmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin1<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ntmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin2<span class=\"token operator\">&#043;&#043;<\/span><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 keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>begin1 <span class=\"token operator\">&lt;&#061;<\/span> end1<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ntmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin1<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/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>begin2 <span class=\"token operator\">&lt;&#061;<\/span> end2<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ntmp<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>begin2<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u62f7\u8d1d\u56dearr<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">[<\/span>i<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 keyword\">void<\/span> <span class=\"token function\">MergeSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> tmp <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token operator\">*<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/[0,n-1]<\/span><br \/>\n<span class=\"token comment\">\/\/\u4e8c\u5206<\/span><br \/>\n<span class=\"token function\">_MergeSort<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u975e\u6bd4\u8f83\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">CountSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/\u627emin,max<\/span><br \/>\n<span class=\"token keyword\">int<\/span> min <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> max <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> max<span class=\"token punctuation\">)<\/span><br \/>\nmax <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> min<span class=\"token punctuation\">)<\/span><br \/>\nmin <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u786e\u5b9a\u6570\u7ec4\u5927\u5c0frange<\/span><br \/>\n<span class=\"token keyword\">int<\/span> range <span class=\"token operator\">&#061;<\/span> max <span class=\"token operator\">&#8211;<\/span> min <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> count <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> range<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>count <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">perror<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;malloc fail&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">exit<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u5bf9count\u521d\u59cb\u5316&#8212;-calloc&#xff0c;memset<\/span><br \/>\n<span class=\"token function\">memset<\/span><span class=\"token punctuation\">(<\/span>count<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> range<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/ \u7edf\u8ba1\u6b21\u6570  <\/span><br \/>\n<span class=\"token comment\">\/\/\u901a\u8fc7\u6620\u5c04\u7684\u65b9\u5f0f\u5c06\u6570\u7ec4\u4fdd\u5b58\u5728count\u6570\u7ec4\u4e2d<\/span><br \/>\n<span class=\"token comment\">\/\/\u6620\u5c04\u7684\u65b9\u5f0f&#061;&#061;\u539f\u6570\u7ec4\u7684\u503c-min<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ncount<span class=\"token punctuation\">[<\/span>arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#8211;<\/span> min<span class=\"token punctuation\">]<\/span><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\">\/\/\u5c06count\u6570\u7ec4\u4e2d\u7684\u6570\u636e\u8fd8\u539f\u5230arr\u6570\u7ec4\u4e2d <\/span><br \/>\n<span class=\"token keyword\">int<\/span> index <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> range<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/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>count<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\narr<span class=\"token punctuation\">[<\/span>index<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> i <span class=\"token operator\">&#043;<\/span> min<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/test.c<\/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\">&#034;Sort.h&#034;<\/span><\/span><\/p>\n<p><span class=\"token keyword\">void<\/span>  <span class=\"token function\">printArr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> i<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\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%d &#034;<\/span><span class=\"token punctuation\">,<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n&#034;<\/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\">void<\/span> <span class=\"token function\">test01<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/int a[] &#061; { 5, 3, 9, 6, 2, 4, 7, 1, 8 };<\/span><br \/>\n<span class=\"token comment\">\/\/int a[] &#061; { 5, 3, 9, 6, 2, 4 };<\/span><br \/>\n<span class=\"token keyword\">int<\/span> a<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 punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u4e4b\u524d:&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printArr<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/InsertSort(a,n);<\/span><br \/>\n<span class=\"token comment\">\/\/ShellSort(a, n);<\/span><br \/>\n<span class=\"token comment\">\/\/SelectSort(a, n);<\/span><br \/>\n<span class=\"token comment\">\/\/QuickSort(a, 0, n &#8211; 1);<\/span><br \/>\n<span class=\"token comment\">\/\/QuickSortNonR(a, 0, n &#8211; 1);<\/span><br \/>\n<span class=\"token comment\">\/\/MergeSort(a, n);<\/span><br \/>\n<span class=\"token function\">CountSort<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u4e4b\u540e:&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printArr<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/ \u6d4b\u8bd5\u6392\u5e8f\u7684\u6027\u80fd\u5bf9\u2f50<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">TestOP<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">srand<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">time<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> N <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">100000<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a1 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a2 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a3 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a4 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a5 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a6 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> a7 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">malloc<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> N<span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\na1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">rand<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\na2<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\na3<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\na4<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\na5<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\na6<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\na7<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> a1<span class=\"token punctuation\">[<\/span>i<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> begin1 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">InsertSort<\/span><span class=\"token punctuation\">(<\/span>a1<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end1 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> begin2 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">ShellSort<\/span><span class=\"token punctuation\">(<\/span>a2<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end2 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> begin3 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">SelectSort<\/span><span class=\"token punctuation\">(<\/span>a3<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end3 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> begin4 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">HeapSort<\/span><span class=\"token punctuation\">(<\/span>a4<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end4 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> begin5 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">QuickSort<\/span><span class=\"token punctuation\">(<\/span>a5<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> N <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 keyword\">int<\/span> end5 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> begin6 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">MergeSort<\/span><span class=\"token punctuation\">(<\/span>a6<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end6 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> begin7 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">BubbleSort<\/span><span class=\"token punctuation\">(<\/span>a7<span class=\"token punctuation\">,<\/span> N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> end7 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">clock<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;InsertSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end1 <span class=\"token operator\">&#8211;<\/span> begin1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;ShellSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end2 <span class=\"token operator\">&#8211;<\/span> begin2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;SelectSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end3 <span class=\"token operator\">&#8211;<\/span> begin3<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;HeapSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end4 <span class=\"token operator\">&#8211;<\/span> begin4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;QuickSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end5 <span class=\"token operator\">&#8211;<\/span> begin5<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;MergeSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end6 <span class=\"token operator\">&#8211;<\/span> begin6<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;BubbleSort:%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> end7 <span class=\"token operator\">&#8211;<\/span> begin7<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a3<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a5<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a6<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>a7<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token 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 function\">test01<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/TestOP();<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/\/Sort.h<\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/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;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;memory.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;stdlib.h&gt;<\/span><\/span><\/p>\n<p><span class=\"token comment\">\/\/\u63d2\u5165\u6392\u5e8f<\/span><br \/>\n<span class=\"token comment\">\/\/1&#xff09;\u76f4\u63a5\u63d2\u5165\u6392\u5e8f &lt;n^2<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">InsertSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/2&#xff09;\u5e0c\u5c14\u6392\u5e8f n^1.3<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">ShellSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u9009\u62e9\u6392\u5e8f<\/span><br \/>\n<span class=\"token comment\">\/\/1&#xff09;\u76f4\u63a5\u9009\u62e9\u6392\u5e8f n^2<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">SelectSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/2&#xff09;\u5806\u6392\u5e8f nlogn<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">HeapSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u4ea4\u6362\u6392\u5e8f<\/span><br \/>\n<span class=\"token comment\">\/\/1&#xff09;\u5192\u6ce1\u6392\u5e8f n^2<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">BubbleSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/2&#xff09;\u5feb\u901f\u6392\u5e8f nlogn<\/span><br \/>\n<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 operator\">*<\/span> arr<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 comment\">\/\/3)\u975e\u9012\u5f52\u7248\u672c\u7684\u5feb\u901f\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">QuickSortNonR<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<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><\/p>\n<p><span class=\"token comment\">\/\/\u5f52\u5e76\u6392\u5e8f nlogn<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">MergeSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/\u975e\u6bd4\u8f83\u6392\u5e8f<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">CountSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/Stack.h<\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/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;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><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;stdbool.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;stdlib.h&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">int<\/span> STDataType<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Stack<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    STDataType<span class=\"token operator\">*<\/span> arr<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u6570\u7ec4 <\/span><br \/>\n    <span class=\"token keyword\">int<\/span> top<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u6709\u6548\u6570\u636e\u7684\u4e2a\u6570&#xff0c;\u4e5f\u662f\u6808\u9876 <\/span><br \/>\n    <span class=\"token keyword\">int<\/span> capacity<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u6808\u7684\u7a7a\u95f4\u5927\u5c0f<\/span><br \/>\n<span class=\"token punctuation\">}<\/span>ST<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/ \u521d\u59cb\u5316\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STInit<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/ \u9500\u6bc1\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STDestroy<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/ \u2f0a\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">,<\/span> STDataType x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u51fa\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STPop<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u53d6\u6808\u9876\u5143\u7d20 <\/span><br \/>\nSTDataType <span class=\"token function\">STTop<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u83b7\u53d6\u6808\u4e2d\u6709\u6548\u5143\u7d20\u4e2a\u6570 <\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">STSize<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u6808\u662f\u5426\u4e3a\u7a7a <\/span><br \/>\nbool <span class=\"token function\">STEmpty<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/Stack.c<\/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\">&#034;Stack.h&#034;<\/span><\/span><br \/>\n<span class=\"token comment\">\/\/ \u521d\u59cb\u5316\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STInit<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>arr <span class=\"token operator\">&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>top <span class=\"token operator\">&#061;<\/span> ps<span class=\"token operator\">-&gt;<\/span>capacity <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/ \u9500\u6bc1\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STDestroy<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>ps<span class=\"token operator\">-&gt;<\/span>arr<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>ps<span class=\"token operator\">-&gt;<\/span>arr<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>arr <span class=\"token operator\">&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>top <span class=\"token operator\">&#061;<\/span> ps<span class=\"token operator\">-&gt;<\/span>capacity <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/ \u2f0a\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STPush<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">,<\/span> STDataType x<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">assert<\/span><span class=\"token punctuation\">(<\/span>ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u5148\u5224\u65ad\u7a7a\u95f4\u662f\u5426\u8db3\u591f<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>ps<span class=\"token operator\">-&gt;<\/span>top <span class=\"token operator\">&#061;&#061;<\/span> ps<span class=\"token operator\">-&gt;<\/span>capacity<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/\u5982\u679ccapacity&#061;&#061;0&#xff1b;\u4e0d\u80fd\u76f4\u63a5*2<\/span><br \/>\n<span class=\"token keyword\">int<\/span> newCapacity <span class=\"token operator\">&#061;<\/span> ps<span class=\"token operator\">-&gt;<\/span>capacity <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">?<\/span> <span class=\"token number\">4<\/span> <span class=\"token operator\">:<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> ps<span class=\"token operator\">-&gt;<\/span>capacity<span class=\"token punctuation\">;<\/span><br \/>\nSTDataType<span class=\"token operator\">*<\/span> tmp <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>STDataType<span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span><span class=\"token function\">realloc<\/span><span class=\"token punctuation\">(<\/span>ps<span class=\"token operator\">-&gt;<\/span>arr<span class=\"token punctuation\">,<\/span> newCapacity <span class=\"token operator\">*<\/span> <span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>STDataType<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>tmp <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">perror<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;realloc&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">exit<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>arr <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>capacity <span class=\"token operator\">&#061;<\/span> newCapacity<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u7a7a\u95f4\u8db3\u591f<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>arr<span class=\"token punctuation\">[<\/span>ps<span class=\"token operator\">-&gt;<\/span>top<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> x<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u51fa\u6808 <\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">STPop<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">assert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span><span class=\"token function\">STEmpty<\/span><span class=\"token punctuation\">(<\/span>ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\nps<span class=\"token operator\">-&gt;<\/span>top<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u53d6\u6808\u9876\u5143\u7d20 <\/span><br \/>\nSTDataType <span class=\"token function\">STTop<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">assert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span><span class=\"token function\">STEmpty<\/span><span class=\"token punctuation\">(<\/span>ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> ps<span class=\"token operator\">-&gt;<\/span>arr<span class=\"token punctuation\">[<\/span>ps<span class=\"token operator\">-&gt;<\/span>top <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><br \/>\n<span class=\"token comment\">\/\/\u83b7\u53d6\u6808\u4e2d\u6709\u6548\u5143\u7d20\u4e2a\u6570 <\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">STSize<\/span><span class=\"token punctuation\">(<\/span>ST<span class=\"token operator\">*<\/span> ps<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">assert<\/span><span class=\"token punctuation\">(<\/span>ps<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token 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