{"id":76588,"date":"2026-02-22T21:41:33","date_gmt":"2026-02-22T13:41:33","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/76588.html"},"modified":"2026-02-22T21:41:33","modified_gmt":"2026-02-22T13:41:33","slug":"%e4%bb%8e%e6%a6%82%e5%bf%b5%e5%88%b0%e5%ae%9e%e7%8e%b0%ef%bc%9a%e6%b7%b1%e5%85%a5%e8%a7%a3%e6%9e%90%e4%b8%83%e5%a4%a7%e7%bb%8f%e5%85%b8%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/76588.html","title":{"rendered":"\u4ece\u6982\u5ff5\u5230\u5b9e\u73b0\uff1a\u6df1\u5165\u89e3\u6790\u4e03\u5927\u7ecf\u5178\u6392\u5e8f\u7b97\u6cd5"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>1\u3001 \u6392\u5e8f\u7684\u6982\u5ff5<\/li>\n<li>2\u3001\u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5<\/li>\n<li>3\u3001\u5e38\u89c1\u6392\u5e8f\u7b97\u6cd5\u7684\u5b9e\u73b0<\/li>\n<li>\n<ul>\n<li>3.1\u63d2\u5165\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.1.1\u76f4\u63a5\u63d2\u5165\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.1.1.1 \u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>3.1.1.2\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<li>3.1.2\u5e0c\u5c14\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.1.2.1\u5e0c\u5c14\u6392\u5e8f\u7684\u7b97\u6cd5\u5b9e\u73b0<\/li>\n<li>3.1.2.2\u5e0c\u5c14\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>3.2\u9009\u62e9\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.2.1\u76f4\u63a5\u9009\u62e9\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.2.1.1\u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>3.2.1.2\u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u4ee3\u7801\u4f18\u5316<\/li>\n<li>3.2.1.3\u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<li>3.2.2\u5806\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.2.2.1\u5806\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>3.2.2.2\u5806\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>3.3\u4ea4\u6362\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.3.1\u5192\u6ce1\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.3.1.1\u5192\u6ce1\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>3.3.1.2\u5192\u6ce1\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<li>3.3.2\u5feb\u901f\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.3.2.1\u5feb\u901f\u6392\u5e8fHoare\u7248\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>3.3.2.2\u5feb\u901f\u6392\u5e8f\u6316\u5751\u7248\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>3.3.2.3\u5feb\u901f\u6392\u5e8f\u4ee3\u7801\u4f18\u5316\u5b9e\u73b0&#xff08;\u4e09\u6570\u53d6\u4e2d\u6cd5\u9009key&#xff09;<\/li>\n<li>3.3.2.4\u5feb\u901f\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>3.4\u5f52\u5e76\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>3.4.1\u57fa\u672c\u601d\u60f3<\/li>\n<li>\n<ul>\n<li>3.4.1.1\u5f52\u5e76\u6392\u4ee3\u7801\u5b9e\u73b0<\/li>\n<li>3.4.1.2\u5feb\u901f\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>3.5\u6392\u5e8f\u7b97\u6cd5\u6027\u80fd\u5bf9\u6bd4\u8868<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>1\u3001 \u6392\u5e8f\u7684\u6982\u5ff5<\/h2>\n<p>\u6392\u5e8f&#xff1a;\u662f\u5c06\u4e00\u7ec4\u5173\u952e\u5b57\u6309\u7167\u5927\u5c0f&#xff0c;\u9012\u589e\u6216\u9012\u51cf\u7684\u6392\u5217\u8d77\u6765\u3002 \u7a33\u5b9a\u6027&#xff1a;\u5728\u539f\u672c\u7684\u5173\u952e\u5b57\u5e8f\u5217\u4e2d&#xff0c;r[i] &#061; r[j] ,\u4e14r[i]\u5728r[j]\u524d\u9762&#xff0c;\u62cd\u5b8c\u5e8f\u540e&#xff0c;r[i]\u4f9d\u7136\u5728r[j]\u524d\u9762&#xff0c;\u76f8\u5bf9\u6b21\u5e8f\u4fdd\u6301\u4e0d\u53d8&#xff0c;\u8fd9\u79cd\u6392\u5e8f\u7b97\u6cd5\u5c31\u662f\u7a33\u5b9a\u7684&#xff0c;\u53cd\u4e4b&#xff0c;\u5219\u662f\u4e0d\u7a33\u5b9a\u7684\u3002<\/p>\n<h2>2\u3001\u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5<\/h2>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260222134131-699b078bd78c4.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h2>3\u3001\u5e38\u89c1\u6392\u5e8f\u7b97\u6cd5\u7684\u5b9e\u73b0<\/h2>\n<h3>3.1\u63d2\u5165\u6392\u5e8f<\/h3>\n<h4>3.1.1\u76f4\u63a5\u63d2\u5165\u6392\u5e8f<\/h4>\n<p>\u57fa\u672c\u601d\u60f3&#xff1a;\u628a\u5f85\u6392\u5e8f\u7684\u5173\u952e\u7801\u503c\u6309\u5927\u5c0f\u9010\u4e2a\u63d2\u5165\u5230\u5df2\u6392\u597d\u5e8f\u7684\u6709\u5e8f\u5e8f\u5217\u4e2d&#xff0c;\u76f4\u5230\u6240\u6709\u7684\u8bb0\u5f55\u63d2\u5b8c\u4e3a\u6b62&#xff0c;\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u6709\u5e8f\u5e8f\u5217\u3002<\/p>\n<h5>3.1.1.1 \u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p>Sort\u7c7b \u5728\u6b64\u7b97\u6cd5\u4e2d&#xff0c; \u8ba9i\u6307\u5411\u6570\u7ec4\u76841\u4e0b\u6807\u7684\u5143\u7d20&#xff0c;\u8ba9j\u6307\u5411\u6570\u7ec4i\u4e0b\u6807\u7684\u524d\u4e00\u4e2a\u5143\u7d20&#xff0c;\u5b9a\u4e49\u4e00\u4e2a\u4e34\u65f6\u53d8\u91cf\u5b58\u50a8i\u4e0b\u6807\u6307\u5411\u7684\u503c&#xff0c;\u5982\u679carray[j]\u7684\u503c\u5927\u4e8etmp&#xff0c;\u5c31\u8ba9array[j]\u7684\u503c\u8d4b\u503c\u7ed9array[j&#043;1]&#xff0c;\u5f80\u540e\u79fb\u4e00\u4f4d&#xff0c;\u518d\u8ba9j\u2013&#xff0c;<\/p>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Sort<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <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 punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<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> array<span class=\"token punctuation\">.<\/span>length <span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<span class=\"token operator\">&#8211;<\/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 punctuation\">;<\/span> j<span class=\"token operator\">&gt;&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&gt;<\/span>tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                    array<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 operator\">&#061;<\/span>array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                    array<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 operator\">&#061;<\/span> tmp<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            array<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 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>Test\u6d4b\u8bd5\u7c7b<\/p>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Test<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token class-name\">String<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> args<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">{<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">7<\/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 class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u524d&#034;<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token class-name\">Arrays<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">toString<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token class-name\">Sort<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">insertSort<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u540e&#034;<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token class-name\">Arrays<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">toString<\/span><span class=\"token punctuation\">(<\/span>array<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><\/p>\n<p>\u6392\u5e8f\u7ed3\u679c<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260222134132-699b078c54932.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h5>3.1.1.2\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/h5>\n<p>1.\u5143\u7d20\u8d8a\u6709\u5e8f&#xff0c;\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u7684\u7b97\u6cd5\u7684\u65f6\u95f4\u6548\u7387\u8d8a\u9ad8\u3002 2.\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n^2)&#xff0c;\u5143\u7d20\u9006\u5e8f\u7684\u65f6\u5019\u3002 3.\u7a7a\u95f4\u590d\u6742\u4e3aO(1) 4.\u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a<\/p>\n<h4>3.1.2\u5e0c\u5c14\u6392\u5e8f<\/h4>\n<p>\u57fa\u672c\u601d\u60f3&#xff1a;\u91c7\u7528\u5206\u7ec4\u6392\u5e8f\u7684\u601d\u60f3&#xff0c;\u7ec4\u5185\u8fdb\u884c\u63d2\u5165\u6392\u5e8f&#xff0c;\u8ba9\u7ec4\u5185\u5143\u7d20\u6709\u5e8f\u3002\u9009\u5b9a\u4e00\u4e2a\u6574\u6570\u4f5c\u4e3a\u589e\u91cf&#xff0c;\u7528\u8fd9\u4e2a\u6574\u6570\u5bf9\u5143\u7d20\u8fdb\u884c\u5206\u7ec4&#xff0c;\u7ec4\u5185\u8fdb\u884c\u6392\u5e8f&#xff0c;\u8ba9\u7ec4\u5185\u6709\u5e8f&#xff0c;\u518d\u7f29\u5c0f\u589e\u91cf&#xff0c;\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b&#xff0c;\u5f53\u589e\u91cf\u4e3a1\u65f6&#xff0c;\u6240\u6709\u5173\u952e\u5b57\u5728\u540c\u4e00\u7ec4\u5185\u6392\u597d\u5e8f\u3002<\/p>\n<h5>3.1.2.1\u5e0c\u5c14\u6392\u5e8f\u7684\u7b97\u6cd5\u5b9e\u73b0<\/h5>\n<p>Sort\u7c7b<\/p>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">shellSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> gap <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">.<\/span>length<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><span class=\"token punctuation\">{<\/span><br \/>\n             gap<span class=\"token operator\">\/&#061;<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n             <span class=\"token function\">shell<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>gap<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\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">shell<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> gap<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> gap<span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> array<span class=\"token punctuation\">.<\/span>length<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i <span class=\"token operator\">&#8211;<\/span> gap<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">-&#061;<\/span> gap<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                   array<span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span>gap<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                    array<span class=\"token punctuation\">[<\/span>j<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 keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n              array<span class=\"token punctuation\">[<\/span>j<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><\/p>\n<p>Test\u6d4b\u8bd5\u7c7b<\/p>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Test<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token class-name\">String<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> args<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">{<\/span><span class=\"token number\">9<\/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\">5<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u524d&#034;<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token class-name\">Arrays<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">toString<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">Sort<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">shellSort<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u540e&#034;<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token class-name\">Arrays<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">toString<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u6d4b\u8bd5\u7ed3\u679c <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260222134132-699b078c65ca2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h5>3.1.2.2\u5e0c\u5c14\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/h5>\n<p>1.\u5e0c\u5c14\u6392\u5e8f\u662f\u5bf9\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u7684\u4f18\u5316\u3002 2.\u5f53gap&gt;1\u65f6&#xff0c;\u90fd\u662f\u9884\u6392\u5e8f&#xff0c;\u76ee\u7684\u662f\u8ba9\u6570\u7ec4\u66f4\u63a5\u8fd1\u4e8e\u6709\u5e8f&#xff0c;\u5f53gap&#061;1\u65f6&#xff0c;\u6570\u7ec4\u5df2\u7ecf\u975e\u5e38\u63a5\u8fd1\u6709\u5e8f\u4e86&#xff0c;\u5728\u6574\u4f53\u8fdb\u884c\u6392\u5e8f&#xff0c;\u5c31\u4f1a\u5f88\u5feb\u3002 3.\u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a<\/p>\n<h3>3.2\u9009\u62e9\u6392\u5e8f<\/h3>\n<h4>3.2.1\u76f4\u63a5\u9009\u62e9\u6392\u5e8f<\/h4>\n<p>\u57fa\u672c\u601d\u60f3&#xff1a;\u6bcf\u6b21\u5728\u5f85\u6392\u5e8f\u7684\u5143\u7d20\u4e2d\u9009\u62e9\u6700\u5927\u6216\u8005\u6700\u5c0f\u7684\u4e00\u4e2a\u5143\u7d20&#xff0c;\u653e\u5728\u5e8f\u5217\u8d77\u59cb\u4f4d\u7f6e\u3002<\/p>\n<h5>3.2.1.1\u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p>\u6bcf\u6b21\u628a\u5f53\u524d\u6392\u5e8f\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u770b\u505a\u662f\u6700\u5c0f\u503c\u7684\u4e0b\u6807i&#xff0c;\u5b9a\u4e49\u4e00\u4e2a\u4e0b\u6807j\u4ecei&#043;1\u5f00\u59cb&#xff0c;\u627e\u6709\u6ca1\u6709\u6bd4i\u4e0b\u6807\u66f4\u5c0f\u7684\u5143\u7d20&#xff0c;\u5982\u679c\u6709&#xff0c;\u5219\u66f4\u65b0\u6700\u5c0f\u503c\u4e0b\u6807&#xff0c;\u7136\u540e\u4e0ei\u4e0b\u6807\u5bf9\u5e94\u7684\u5143\u7d20\u8fdb\u884c\u4ea4\u6362\u5143\u7d20\u3002 Sort\u7c7b<\/p>\n<p> <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">selectSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token 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> array<span class=\"token punctuation\">.<\/span>length<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> midIndex <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<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 punctuation\">;<\/span> j<span class=\"token operator\">&lt;<\/span>array<span class=\"token punctuation\">.<\/span>length<span class=\"token punctuation\">;<\/span>j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&lt;<\/span>array<span class=\"token punctuation\">[<\/span>midIndex<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                    midIndex <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/\u66f4\u65b0\u6700\u5c0f\u503c\u4e0b\u6807<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>i<span class=\"token punctuation\">,<\/span>midIndex<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\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>Test\u6d4b\u8bd5\u7c7b<\/p>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Test<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token class-name\">String<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> args<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">{<\/span><span class=\"token number\">9<\/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\">5<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u524d&#034;<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token class-name\">Arrays<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">toString<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">Sort<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">selectSort<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6392\u5e8f\u540e&#034;<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token class-name\">Arrays<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">toString<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u6d4b\u8bd5\u7ed3\u679c <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260222134132-699b078c768b8.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h5>3.2.1.2\u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u4ee3\u7801\u4f18\u5316<\/h5>\n<p>\u4e00\u6b21\u904d\u5386&#xff0c;\u53ef\u4ee5\u627e\u5230\u6570\u7ec4\u4e2d\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u3002<\/p>\n<p> <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <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 punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/\u6570\u7ec4\u7b2c\u4e00\u4e2a\u5143\u7d20<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> right <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">.<\/span>length<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/\u6570\u7ec4\u6700\u540e\u4e00\u4e2a\u5143\u7d20<\/span><br \/>\n       <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n               <span class=\"token keyword\">int<\/span> minIndex <span class=\"token operator\">&#061;<\/span>left<span class=\"token punctuation\">;<\/span><br \/>\n               <span class=\"token keyword\">int<\/span> maxIndex <span class=\"token operator\">&#061;<\/span> left<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> left<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">;<\/span>j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                   <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>minIndex<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&gt;<\/span>array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                       minIndex <span class=\"token operator\">&#061;<\/span> j<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>array<span class=\"token punctuation\">[<\/span>maxIndex<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&lt;<\/span>array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                       maxIndex <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\n                   <span class=\"token punctuation\">}<\/span><\/p>\n<p>           <span class=\"token punctuation\">}<\/span><br \/>\n           <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>left<span class=\"token punctuation\">,<\/span>minIndex<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n           <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>maxIndex <span class=\"token operator\">&#061;&#061;<\/span> left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>         <span class=\"token comment\">\/\/\u5982\u679c\u7b2c\u4e00\u4e2a\u5143\u7d20\u662f\u6700\u5927\u503c&#xff0c;\u9700\u8981\u8fdb\u884c\u628a\u4e0b\u6807\u6362\u56de\u6765<\/span><br \/>\n               maxIndex <span class=\"token operator\">&#061;<\/span> minIndex<span class=\"token punctuation\">;<\/span><br \/>\n           <span class=\"token punctuation\">}<\/span><br \/>\n           <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>right<span class=\"token punctuation\">,<\/span>maxIndex<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n           left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n           right<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<h5>3.2.1.3\u76f4\u63a5\u9009\u62e9\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/h5>\n<p>1.\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n^2) 2.\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a&#xff1a;O(1) 3.\u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a<\/p>\n<h4>3.2.2\u5806\u6392\u5e8f<\/h4>\n<p>\u57fa\u672c\u601d\u60f3&#xff1a;\u5148\u628a\u5f85\u6392\u5e8f\u5e8f\u5217\u6784\u5efa\u6210\u5927\u6839\u5806&#xff0c;\u518d\u5927\u6839\u5806\u4e0a\u8fdb\u884c\u6392\u5e8f\u3002\u5347\u5e8f\u6392\u5e8f\u9700\u8981\u5efa\u7acb\u5927\u6839\u5806&#xff0c;\u964d\u5e8f\u6392\u5e8f\u9700\u8981\u5efa\u7acb\u5c0f\u6839\u5806\u3002<\/p>\n<h5>3.2.2.1\u5806\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p> <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <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 punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token comment\">\/\/\u521b\u5efa\u5927\u6839\u5806<\/span><br \/>\n        <span class=\"token function\">createHeap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/\u8fdb\u884c\u6392\u5e8f<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> end <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">.<\/span>length<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><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><span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<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><br \/>\n            <span class=\"token function\">siftDown<\/span><span class=\"token punctuation\">(<\/span>array<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\">\/\/\u8c03\u6574\u4e3a\u5927\u6839\u5806<\/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 punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">createHeap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">.<\/span>length<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token 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> parent <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>parent<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">siftDown<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>parent<span class=\"token punctuation\">,<\/span>array<span class=\"token punctuation\">.<\/span>length<span class=\"token punctuation\">)<\/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 keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">siftDown<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> parent<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> length<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> child <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span><span class=\"token operator\">*<\/span>parent<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>length<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/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>length <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>child<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&lt;<\/span>array<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><span class=\"token punctuation\">{<\/span> <span class=\"token comment\">\/\/\u6709\u6709\u5b69\u5b50\u4e14\u5f53\u53f3\u5b69\u5b50\u6bd4\u5de6\u5b69\u5b50\u5927<\/span><br \/>\n                    child<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>array<span class=\"token punctuation\">[<\/span>parent<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&lt;<\/span>array<span class=\"token punctuation\">[<\/span>child<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>array<span class=\"token punctuation\">,<\/span>parent<span class=\"token punctuation\">,<\/span>child<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                parent <span class=\"token operator\">&#061;<\/span> child<span class=\"token punctuation\">;<\/span><br \/>\n                child <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span><span class=\"token operator\">*<\/span>parent<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><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><br \/>\n    <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<h5>3.2.2.2\u5806\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/h5>\n<p>1.\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n*log^n) 2.\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a&#xff1a;O(1) 3.\u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a<\/p>\n<h3>3.3\u4ea4\u6362\u6392\u5e8f<\/h3>\n<h4>3.3.1\u5192\u6ce1\u6392\u5e8f<\/h4>\n<p>\u57fa\u672c\u601d\u60f3&#xff1a;\u76f8\u90bb\u5143\u7d20\u4e4b\u95f4\u4e24\u4e24\u8fdb\u884c\u6bd4\u8f83\u548c\u4ea4\u6362&#xff0c;\u4f7f\u8f83\u5927\u7684\u5143\u7d20\u5411\u540e\u79fb&#xff0c;\u4f7f\u8f83\u5c0f\u7684\u5143\u7d20\u5411\u524d\u79fb\u3002<\/p>\n<h5>3.3.1.1\u5192\u6ce1\u6392\u5e8f\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p> <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <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 punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<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> array<span class=\"token punctuation\">.<\/span>length<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> <span class=\"token punctuation\">{<\/span> <span class=\"token comment\">\/\/\u63a7\u5236\u8d9f\u6570<\/span><br \/>\n          <span class=\"token keyword\">boolean<\/span> flg <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">false<\/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> 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>array<span class=\"token punctuation\">.<\/span>length<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><span class=\"token punctuation\">{<\/span>  <span class=\"token comment\">\/\/\u63a7\u5236\u6bd4\u8f83\u6b21\u6570<\/span><br \/>\n              <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&gt;<\/span> array<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 function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>j<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                    flg <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/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><span class=\"token operator\">!<\/span>flg<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span> <span class=\"token comment\">\/\/\u6ca1\u6709\u8fdb\u884c\u4ea4\u6362<\/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 punctuation\">}<\/span><br \/>\n  <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<h5>3.3.1.2\u5192\u6ce1\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/h5>\n<p>1.\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n^2),\u6ca1\u6709\u4f18\u5316\u524d 2.\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a&#xff1a;O(1) 3.\u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a<\/p>\n<h4>3.3.2\u5feb\u901f\u6392\u5e8f<\/h4>\n<p>\u5feb\u901f\u6392\u5e8f\u4f7f\u7528\u5206\u6cbb\u7b56\u7565&#xff0c;\u5176\u57fa\u672c\u601d\u60f3\u662f&#xff1a;<\/p>\n<li>\u9009\u62e9\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6&#xff08;pivot&#xff09;<\/li>\n<li>\u5c06\u6570\u7ec4\u5206\u4e3a\u4e24\u90e8\u5206&#xff1a; \u00b7 \u5de6\u8fb9&#xff1a;\u6240\u6709\u5143\u7d20 \u2264 \u57fa\u51c6 \u00b7 \u53f3\u8fb9&#xff1a;\u6240\u6709\u5143\u7d20 \u2265 \u57fa\u51c6<\/li>\n<li>\u5bf9\u5de6\u53f3\u4e24\u90e8\u5206\u9012\u5f52\u5730\u6267\u884c\u76f8\u540c\u64cd\u4f5c<\/li>\n<h5>3.3.2.1\u5feb\u901f\u6392\u5e8fHoare\u7248\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n  <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>array<span class=\"token punctuation\">.<\/span>length<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> start<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>start<span class=\"token operator\">&gt;&#061;<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>         <span class=\"token comment\">\/\/start &gt; end ,\u6ca1\u6709\u53f3\u5b50\u6811   start&#061;&#061;end,\u53ea\u6709\u4e00\u4e2a\u5143\u7d20<\/span><br \/>\n         <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token punctuation\">}<\/span><br \/>\n      <span class=\"token keyword\">int<\/span> pivot <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>pivot<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>    <span class=\"token comment\">\/\/\u9012\u5f52\u5de6\u8fb9<\/span><br \/>\n      <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>pivot<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>     <span class=\"token comment\">\/\/\u9012\u5f52\u53f3\u8fb9<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token keyword\">int<\/span> tmpLeft <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>left<span class=\"token operator\">&lt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>     <span class=\"token comment\">\/\/\u6ca1\u6709\u76f8\u9047<\/span><br \/>\n      <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span> <span class=\"token comment\">\/\/\u4ece\u540e\u5f80\u524d\u627e&#xff0c;\u6bd4\u57fa\u51c6\u5c0f\u7684\u503c,\u5fc5\u987b\u8981\u53d6\u7b49\u53f7&#xff0c;\u56e0\u4e3a\u5f53\u6570\u7ec4\u4e2d\u7b2c\u4e00\u4e2a\u6570\u548c\u6700\u540e\u4e00\u4e2a\u6570\u76f8\u7b49\u65f6&#xff0c;\u4f1a\u9677\u5165\u6b7b\u5faa\u73af<\/span><br \/>\n          right<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span> <span class=\"token comment\">\/\/\u4ece\u524d\u5f80\u540e\u627e&#xff0c;\u6bd4\u57fa\u51c6\u5927\u7684\u503c<\/span><br \/>\n            left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>left<span class=\"token punctuation\">,<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>left<span class=\"token punctuation\">,<\/span>tmpLeft<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/\u5f53\u7b2c\u4e00\u4e2a\u6570\u4e3a\u6570\u7ec4\u4e2d\u6700\u5927\u7684\u6570\u65f6&#xff0c;\u5f53left\u548cright\u76f8\u9047\u4ee5\u540e&#xff0c;\u9700\u8981\u628a\u57fa\u51c6\u503c\u4ea4\u6362\u5230\u6b63\u786e\u4f4d\u7f6e&#xff0c;\u4f7f\u5f97\u57fa\u51c6\u503c\u7684\u5de6\u8fb9\u90fd\u6bd4\u5b83\u5c0f&#xff0c;\u53f3\u8fb9\u90fd\u6bd4\u5b83\u5927<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token punctuation\">}<\/span><\/p>\n<p>  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token punctuation\">}<\/span><\/p>\n<h5>3.3.2.2\u5feb\u901f\u6392\u5e8f\u6316\u5751\u7248\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p> <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>array<span class=\"token punctuation\">.<\/span>length<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> start<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n     <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>start<span class=\"token operator\">&gt;&#061;<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>         <span class=\"token comment\">\/\/start &gt; end ,\u6ca1\u6709\u53f3\u5b50\u6811   start&#061;&#061;end,\u53ea\u6709\u4e00\u4e2a\u5143\u7d20<\/span><br \/>\n        <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token punctuation\">}<\/span><br \/>\n     <span class=\"token keyword\">int<\/span> pivot <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>pivot<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>    <span class=\"token comment\">\/\/\u9012\u5f52\u5de6\u8fb9<\/span><br \/>\n     <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>pivot<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>     <span class=\"token comment\">\/\/\u9012\u5f52\u53f3\u8fb9<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p> <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n     <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n         <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span> <span class=\"token comment\">\/\/\u4ece\u540e\u5f80\u524d\u627e&#xff0c;\u6bd4\u57fa\u51c6\u5c0f\u7684\u503c,\u5fc5\u987b\u8981\u53d6\u7b49\u53f7&#xff0c;\u56e0\u4e3a\u5f53\u6570\u7ec4\u4e2d\u7b2c\u4e00\u4e2a\u6570\u548c\u6700\u540e\u4e00\u4e2a\u6570\u76f8\u7b49\u65f6&#xff0c;\u4f1a\u9677\u5165\u6b7b\u5faa\u73af<\/span><br \/>\n             right<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n         <span class=\"token punctuation\">}<\/span><br \/>\n         array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n         <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n             left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n         <span class=\"token punctuation\">}<\/span><br \/>\n         array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token punctuation\">}<\/span><br \/>\n     array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n <span class=\"token punctuation\">}<\/span><\/p>\n<p> <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n     <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n <span class=\"token punctuation\">}<\/span><\/p>\n<h5>3.3.2.3\u5feb\u901f\u6392\u5e8f\u4ee3\u7801\u4f18\u5316\u5b9e\u73b0&#xff08;\u4e09\u6570\u53d6\u4e2d\u6cd5\u9009key&#xff09;<\/h5>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quickSort<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n  <span class=\"token function\">quick1<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>array<span class=\"token punctuation\">.<\/span>length<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">quick1<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> start<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>start<span class=\"token operator\">&gt;&#061;<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>         <span class=\"token comment\">\/\/start &gt; end ,\u6ca1\u6709\u53f3\u5b50\u6811   start&#061;&#061;end,\u53ea\u6709\u4e00\u4e2a\u5143\u7d20<\/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> middleIndex <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">findMiddleNum<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>middleIndex<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>      <span class=\"token keyword\">int<\/span> pivot <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>start<span class=\"token punctuation\">,<\/span>pivot<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>    <span class=\"token comment\">\/\/\u9012\u5f52\u5de6\u8fb9<\/span><br \/>\n      <span class=\"token function\">quick<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>pivot<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>end<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>     <span class=\"token comment\">\/\/\u9012\u5f52\u53f3\u8fb9<\/span><br \/>\n  <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">private<\/span>  <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">findMiddleNum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&#043;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> array<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\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&gt;<\/span>array<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n              <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n          <span class=\"token punctuation\">}<\/span><span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&lt;<\/span>array<span class=\"token punctuation\">[<\/span>mid<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><span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n              <span class=\"token keyword\">return<\/span> mid<span class=\"token punctuation\">;<\/span><br \/>\n          <span class=\"token punctuation\">}<\/span><br \/>\n      <span class=\"token punctuation\">}<\/span><span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n          <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&lt;<\/span>array<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><span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&gt;<\/span>array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n              <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n          <span class=\"token punctuation\">}<\/span><span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n              <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n          <span class=\"token punctuation\">}<\/span><br \/>\n      <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n          <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;&#061;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span> <span class=\"token comment\">\/\/\u4ece\u540e\u5f80\u524d\u627e&#xff0c;\u6bd4\u57fa\u51c6\u5c0f\u7684\u503c,\u5fc5\u987b\u8981\u53d6\u7b49\u53f7&#xff0c;\u56e0\u4e3a\u5f53\u6570\u7ec4\u4e2d\u7b2c\u4e00\u4e2a\u6570\u548c\u6700\u540e\u4e00\u4e2a\u6570\u76f8\u7b49\u65f6&#xff0c;\u4f1a\u9677\u5165\u6b7b\u5faa\u73af<\/span><br \/>\n              right<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n          <span class=\"token punctuation\">}<\/span><br \/>\n          array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n          <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&lt;<\/span>right <span class=\"token operator\">&amp;&amp;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n              left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n          <span class=\"token punctuation\">}<\/span><br \/>\n          array<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token punctuation\">}<\/span><br \/>\n      array<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token punctuation\">}<\/span><\/p>\n<p>  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n      <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      array<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      array<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> tmp<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token punctuation\">}<\/span><\/p>\n<p>\u6d4b\u8bd5\u7ed3\u679c <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260222134132-699b078c8890f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h5>3.3.2.4\u5feb\u901f\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/h5>\n<p>1.\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;\u4e00\u822c\u4e3aO(n*logn) 2.\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a&#xff1a;O(logn) 3.\u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a<\/p>\n<h3>3.4\u5f52\u5e76\u6392\u5e8f<\/h3>\n<h4>3.4.1\u57fa\u672c\u601d\u60f3<\/h4>\n<p>\u8be5\u7b97\u6cd5\u91c7\u7528\u7684\u662f\u5206\u6cbb\u6cd5&#xff0c;\u5c06\u5df2\u6709\u7684\u5b50\u5e8f\u5217\u5408\u5e76&#xff0c;\u5f97\u5230\u5b8c\u5168\u6709\u5e8f\u7684\u5e8f\u5217&#xff0c;\u5373\u5148\u8ba9\u6bcf\u4e2a\u5b50\u5e8f\u5217\u6709\u5e8f&#xff0c;\u518d\u8ba9\u5b50\u5e8f\u5217\u6bb5\u95f4\u6709\u5e8f\u3002<\/p>\n<h5>3.4.1.1\u5f52\u5e76\u6392\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p> <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <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 punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n     <span class=\"token function\">mergeSortTmp<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>array<span class=\"token punctuation\">.<\/span>length<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">mergeSortTmp<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>left<span class=\"token operator\">&gt;&#061;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>           <span class=\"token comment\">\/\/\u9012\u5f52\u7ed3\u675f\u7684\u6761\u4ef6<\/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>left<span class=\"token operator\">&#043;<\/span>right<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 function\">mergeSortTmp<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>left<span class=\"token punctuation\">,<\/span>mid<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">mergeSortTmp<\/span><span class=\"token punctuation\">(<\/span>array<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><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/\u8d70\u5230\u8fd9\u91cc\u5168\u90e8\u5206\u89e3\u5b8c\u6bd5<\/span><br \/>\n        <span class=\"token comment\">\/\/\u5408\u5e76<\/span><br \/>\n        <span class=\"token function\">merge<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">,<\/span>left<span class=\"token punctuation\">,<\/span>mid<span class=\"token punctuation\">,<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">merge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> array<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> mid<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> tmp <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span>right<span class=\"token operator\">&#8211;<\/span>left<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\">int<\/span> k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> s1 <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token comment\">\/\/  int e1 &#061; mid;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> s2 <span class=\"token operator\">&#061;<\/span> mid<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token comment\">\/\/  int e2 &#061; right;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>s1<span class=\"token operator\">&lt;&#061;<\/span>mid <span class=\"token operator\">&amp;&amp;<\/span> s2<span class=\"token operator\">&lt;&#061;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>array<span class=\"token punctuation\">[<\/span>s1<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> array<span class=\"token punctuation\">[<\/span>s2<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n                tmp<span class=\"token punctuation\">[<\/span>k<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>s1<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                tmp<span class=\"token punctuation\">[<\/span>k<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>s2<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>s1 <span class=\"token operator\">&lt;&#061;<\/span> mid<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>         <span class=\"token comment\">\/\/\u4e00\u8fb9\u8fd8\u6ca1\u6709\u8d70\u5b8c&#xff0c;\u53e6\u5916\u4e00\u8fb9\u8d70\u5b8c\u4e86<\/span><br \/>\n            tmp<span class=\"token punctuation\">[<\/span>k<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>s1<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>s2 <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n            tmp<span class=\"token punctuation\">[<\/span>k<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> array<span class=\"token punctuation\">[<\/span>s2<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token 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punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>\u6d4b\u8bd5\u7ed3\u679c <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260222134132-699b078c9a6e0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h5>3.4.1.2\u5feb\u901f\u6392\u5e8f\u7279\u6027\u603b\u7ed3<\/h5>\n<p>1.\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;\u4e00\u822c\u4e3aO(n*logn) 2.\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a&#xff1a;O(n) 3.\u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a<\/p>\n<h3>3.5\u6392\u5e8f\u7b97\u6cd5\u6027\u80fd\u5bf9\u6bd4\u8868<\/h3>\n<table>\n<tr>\u6392\u5e8f\u7b97\u6cd5\u6700\u597d\u65f6\u95f4\u590d\u6742\u5ea6\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u6700\u574f\u65f6\u95f4\u590d\u6742\u5ea6\u7a7a\u95f4\u590d\u6742\u5ea6\u7a33\u5b9a\u6027<\/tr>\n<tbody>\n<tr>\n<td align=\"left\">\u5192\u6ce1\u6392\u5e8f<\/td>\n<td align=\"center\">O(n)<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(1)<\/td>\n<td align=\"center\">\u7a33\u5b9a<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u63d2\u5165\u6392\u5e8f<\/td>\n<td align=\"center\">O(n)<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(1)<\/td>\n<td align=\"center\">\u7a33\u5b9a<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u9009\u62e9\u6392\u5e8f<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(1)<\/td>\n<td align=\"center\">\u4e0d\u7a33\u5b9a<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u5e0c\u5c14\u6392\u5e8f<\/td>\n<td align=\"center\">O(n)<\/td>\n<td align=\"center\">O(n\u00b9\u00b7\u00b3)<\/td>\n<td align=\"center\">O(n\u00b2)<\/td>\n<td align=\"center\">O(1)<\/td>\n<td 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