{"id":42172,"date":"2025-06-06T18:25:40","date_gmt":"2025-06-06T10:25:40","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/42172.html"},"modified":"2025-06-06T18:25:40","modified_gmt":"2025-06-06T10:25:40","slug":"%e5%b8%b8%e8%a7%81%e7%ae%97%e6%b3%95%e9%a2%98%e7%9b%ae5-%e5%b8%b8%e8%a7%81%e7%9a%84%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/42172.html","title":{"rendered":"\u5e38\u89c1\u7b97\u6cd5\u9898\u76ee5 -\u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5"},"content":{"rendered":"<h3>\u5e38\u89c1\u7b97\u6cd5\u9898\u76ee5 -\u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5<\/h3>\n<p>\u672c\u6587\u4ecb\u7ecd\u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5\u7684\u601d\u8def\u53ca\u4ee3\u7801\u5b9e\u73b0(\u90fd\u662f\u6309\u7167\u4ece\u5c0f\u5230\u5927\u6392\u5217)&#xff0c;\u5305\u62ec\u5192\u6ce1\u6392\u5e8f\u3001\u9009\u62e9\u6392\u5e8f\u3001\u63d2\u5165\u6392\u5e8f\u3001\u5feb\u901f\u6392\u5e8f\u3001\u5f52\u5e76\u6392\u5e8f\u3001\u5806\u6392\u5e8f\u3002<\/p>\n<h4>1.\u5192\u6ce1\u6392\u5e8f<\/h4>\n<ul>\n<li>\u601d\u8def&#xff1a;\u91cd\u590d\u904d\u5386\u6570\u7ec4&#xff0c;\u4f9d\u6b21\u6bd4\u8f83\u76f8\u90bb\u5143\u7d20&#xff0c;\u82e5\u987a\u5e8f\u9519\u8bef\u5219\u4ea4\u6362&#xff0c;\u76f4\u81f3\u6ca1\u6709\u4ea4\u6362\u53d1\u751f\u3002\u6bcf\u6b21\u5916\u5c42\u5faa\u73af\u540e&#xff0c;\u6700\u5927\u7684\u90fd\u4f1a\u79fb\u52a8\u5230\u6570\u7ec4\u672b\u5c3e&#xff0c;\u5c31\u50cf\u5192\u6c34\u6ce1\u4e00\u6837(\u6c34\u6ce1\u7531\u6c34\u5e95\u5f80\u4e0a\u5347\u8d77\u7684\u8fc7\u7a0b\u4e2d\u539f\u6765\u8d8a\u5927)&#xff0c;\u6545\u79f0\u4e3a\u5192\u6ce1\u6392\u5e8f\u3002<\/li>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n^2)<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a<\/li>\n<li>\u5b9e\u73b0\u4ee3\u7801&#xff1a;<\/li>\n<\/ul>\n<p>    <span class=\"token comment\">\/**<br \/>\n     * \u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5(\u4ece\u5c0f\u5230\u5927\u6392\u5217) \u4e4b \u5192\u6ce1\u6392\u5e8f<br \/>\n     * &#064;param arr<br \/>\n     *\/<\/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\">bubbleSort1<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<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> arr<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><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> arr<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><br \/>\n                <span class=\"token comment\">\/\/ \u6bd4\u8f83\u76f8\u90bb\u5143\u7d20 \u524d&gt;\u540e \u5219\u4ea4\u6362\u4f4d\u7f6e<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u4e3a\u4e86\u76f4\u89c2\u7684\u663e\u73b0\u5192\u6ce1\u7684\u8fc7\u7a0b&#xff0c;\u53ef\u4ee5\u5728\u8fd9\u91cc\u6253\u4e0b\u8f93\u51fa<\/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;\u5192\u6ce1\u6392\u5e8f&#xff0c;\u7b2c&#034;<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token string\">&#034;\u8f6e\u6392\u5e8f\u540e&#xff0c;&#xff1a;&#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>arr<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<ul>\n<li>\u6d4b\u8bd5&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SortTest<\/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> arr1 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token 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;\u539f\u6570\u7ec4&#xff1a;&#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>arr1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">bubbleSort1<\/span><span class=\"token punctuation\">(<\/span>arr1<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;\u5192\u6ce1\u6392\u5e8f\u540e&#xff1a;&#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>arr1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250606102539-6842c22375ad2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>2. \u9009\u62e9\u6392\u5e8f<\/h4>\n<ul>\n<li>\u601d\u8def&#xff1a;\u6bcf\u6b21\u4ece\u672a\u6392\u5e8f\u90e8\u5206\u9009\u62e9\u6700\u5c0f\u5143\u7d20&#xff0c;\u4e0e\u672a\u6392\u5e8f\u90e8\u5206\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u4ea4\u6362\u3002\u6bcf\u6b21\u5916\u5c42\u5faa\u73af\u7ed3\u675f\u540e&#xff0c;\u6700\u5c0f\u7684\u5143\u7d20\u90fd\u4f1a\u4e00\u6b65\u6b65\u79fb\u52a8\u5230\u6570\u636e\u7684\u524d\u9762\u3002<\/li>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n^2)<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a\u3002\u4e0e\u5192\u6ce1\u6392\u5e8f\u76f8\u6bd4\u90fd\u6d89\u53ca\u6570\u636e\u4f4d\u7f6e\u4ea4\u6362&#xff0c;\u4f46\u6d89\u53ca\u76f8\u540c\u6570\u503c\u6570\u636e\u7684\u4ea4\u6362&#xff0c;\u4f1a\u6539\u53d8\u76f8\u540c\u6570\u503c\u7684\u76f8\u5bf9\u4f4d\u7f6e&#xff0c;\u56e0\u6b64\u4e0d\u7a33\u5b9a\u3002\u4f46\u5192\u6ce1\u6392\u5e8f\u5728\u8fdb\u884c\u7b49\u503c\u5224\u65ad\u540e\u4e0d\u4f1a\u8fdb\u884c\u4f4d\u7f6e\u4ea4\u6362&#xff0c;\u6545\u7a33\u5b9a\u3002<\/li>\n<li>\u5b9e\u73b0\u4ee3\u7801&#xff1a;<\/li>\n<\/ul>\n<p>    <span class=\"token comment\">\/**<br \/>\n     * \u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5(\u4ece\u5c0f\u5230\u5927\u6392\u5217) \u4e4b \u9009\u62e9\u6392\u5e8f<br \/>\n     * &#064;param arr<br \/>\n     *\/<\/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\">testSelectionSort2<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u904d\u5386\u6bd4\u8f83<\/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> arr<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><br \/>\n            <span class=\"token comment\">\/\/ \u5b58\u50a8\u6700\u5c0f\u503c\u4e0b\u6807\u7d22\u5f15<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> minIndex <span class=\"token operator\">&#061;<\/span> i<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> i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> arr<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>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> arr<span class=\"token punctuation\">[<\/span>minIndex<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 punctuation\">}<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u4ea4\u6362\u4f4d\u7f6e<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>minIndex <span class=\"token operator\">!&#061;<\/span> i<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>minIndex<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                arr<span class=\"token punctuation\">[<\/span>minIndex<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u4e3a\u4e86\u76f4\u89c2\u7684\u663e\u73b0\u9009\u62e9\u6392\u5e8f\u7684\u8fc7\u7a0b&#xff0c;\u53ef\u4ee5\u5728\u8fd9\u91cc\u6253\u4e0b\u8f93\u51fa<\/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;\u9009\u62e9\u6392\u5e8f&#xff0c;\u7b2c&#034;<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span>i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token string\">&#034;\u8f6e\u6392\u5e8f\u540e&#xff0c;&#xff1a;&#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>arr<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<ul>\n<li>\u6d4b\u8bd5&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SortTest<\/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> arr2 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token 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;\u539f\u6570\u7ec4&#xff1a;&#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>arr2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">testSelectionSort2<\/span><span class=\"token punctuation\">(<\/span>arr2<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;\u9009\u62e9\u6392\u5e8f\u540e&#xff1a;&#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>arr2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250606102539-6842c22385420.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>3. \u63d2\u5165\u6392\u5e8f<\/h4>\n<ul>\n<li>\u601d\u8def&#xff1a;\u5c06\u6570\u7ec4\u5206\u4e3a\u5df2\u6392\u5e8f\u90e8\u5206\u548c\u672a\u6392\u5e8f\u90e8\u5206&#xff0c;\u5df2\u6392\u5e8f\u90e8\u5206\u4e3a\u5df2\u6392\u5e8f\u7684\u5143\u7d20&#xff0c;\u672a\u6392\u5e8f\u90e8\u5206\u4e3a\u672a\u6392\u5e8f\u7684\u5143\u7d20\u3002\u5c06\u672a\u6392\u5e8f\u90e8\u5206\u4e2d\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20\u9010\u4e2a\u63d2\u5165\u5230\u5df2\u6392\u5e8f\u90e8\u5206\u7684\u6b63\u786e\u4f4d\u7f6e\u3002<\/li>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(n^2)<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a<\/li>\n<li>\u5b9e\u73b0\u4ee3\u7801&#xff1a;<\/li>\n<\/ul>\n<p>    <span class=\"token comment\">\/**<br \/>\n     * \u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5(\u4ece\u5c0f\u5230\u5927\u6392\u5217) \u4e4b \u63d2\u5165\u6392\u5e8f<br \/>\n     * &#064;param arr<br \/>\n     *\/<\/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\">insertSort3<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5faa\u73af\u5224\u65ad<\/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> arr<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 comment\">\/\/ \u5b58\u50a8\u5f53\u524d\u5143\u7d20<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5faa\u73af\u5224\u65ad&#xff0c;\u627e\u5230\u63d2\u5165\u7684\u4f4d\u7f6e<\/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 comment\">\/\/ \u5df2\u6392\u5e8f\u90e8\u5206\u7684\u5143\u7d20&#xff0c;\u627e\u5230\u63d2\u5165\u7684\u4f4d\u7f6e<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>j <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> temp<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                j<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5f53\u524d\u5faa\u73af\u4e0b\u6807\u4f4d\u7f6e\u6570\u636e\u8d4b\u503c<\/span><br \/>\n            arr<span class=\"token punctuation\">[<\/span>j <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u4e3a\u4e86\u76f4\u89c2\u7684\u663e\u73b0\u63d2\u5165\u6392\u5e8f\u7684\u8fc7\u7a0b&#xff0c;\u53ef\u4ee5\u5728\u8fd9\u91cc\u6253\u4e0b\u8f93\u51fa<\/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;\u63d2\u5165\u6392\u5e8f&#xff0c;\u7b2c&#034;<\/span> <span class=\"token operator\">&#043;<\/span> i <span class=\"token operator\">&#043;<\/span> <span class=\"token string\">&#034;\u8f6e\u6392\u5e8f\u540e&#xff0c;&#xff1a;&#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>arr<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<ul>\n<li>\u6d4b\u8bd5&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SortTest<\/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> arr3 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token 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;\u539f\u6570\u7ec4&#xff1a;&#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>arr3<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">insertSort3<\/span><span class=\"token punctuation\">(<\/span>arr3<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;\u63d2\u5165\u6392\u5e8f\u540e&#xff1a;&#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>arr3<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250606102539-6842c22392c35.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>4. \u5feb\u901f\u6392\u5e8f<\/h4>\n<ul>\n<li>\u601d\u8def&#xff1a;\u5c06\u6570\u7ec4\u5206\u4e3a\u5df2\u6392\u5e8f\u90e8\u5206\u548c\u672a\u6392\u5e8f\u90e8\u5206&#xff0c;\u5df2\u6392\u5e8f\u90e8\u5206\u4e3a\u5df2\u6392\u5e8f\u7684\u5143\u7d20&#xff0c;\u672a\u6392\u5e8f\u90e8\u5206\u4e3a\u672a\u6392\u5e8f\u7684\u5143\u7d20\u3002\u5c06\u672a\u6392\u5e8f\u90e8\u5206\u4e2d\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20\u9010\u4e2a\u63d2\u5165\u5230\u5df2\u6392\u5e8f\u90e8\u5206\u7684\u6b63\u786e\u4f4d\u7f6e\u3002 \u2460\u9009\u62e9\u57fa\u51c6\u5143\u7d20&#xff1a;\u4e00\u822c\u9009\u62e9\u7b2c\u4e00\u4e2a\u6216\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u5143\u7d20\u3002 \u2461\u6570\u7ec4\u5206\u533a&#xff1a;\u6bd4\u57fa\u51c6\u5143\u7d20\u5c0f\u7684\u5728\u57fa\u51c6\u5143\u7d20\u7684\u5de6\u8fb9&#xff0c;\u6bd4\u57fa\u51c6\u5143\u7d20\u5927\u7684\u5728\u57fa\u51c6\u5143\u7d20\u7684\u53f3\u8fb9 \u2462\u9012\u5f52&#xff1a;\u9012\u5f52\u5bf9\u57fa\u51c6\u5143\u7d20\u5de6\u8fb9\u548c\u53f3\u8fb9\u7684\u90e8\u5206\u8fdb\u884c\u5feb\u901f\u6392\u5e8f<\/li>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(nlogn)<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(logn)<\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a<\/li>\n<li>\u5b9e\u73b0\u4ee3\u7801&#xff1a;<\/li>\n<\/ul>\n<p>    <span class=\"token comment\">\/**<br \/>\n     * \u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5 \u4e4b \u5feb\u901f\u6392\u5e8f(\u4ece\u5c0f\u5230\u5927\u6392\u5217)<br \/>\n     * &#064;param arr<br \/>\n     *\/<\/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\">quickSort4<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/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> baseIndex <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">partition<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u9012\u5f52\u5bf9\u57fa\u51c6\u5143\u7d20\u5de6\u8fb9\u548c\u53f3\u8fb9\u7684\u8fdb\u884c\u5feb\u901f\u6392\u5e8f<\/span><br \/>\n            <span class=\"token function\">quickSort4<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> baseIndex <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token function\">quickSort4<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> baseIndex <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 punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token comment\">\/**<br \/>\n     * \u83b7\u53d6\u57fa\u51c6\u539f\u59cb\u4f4d\u7f6e<br \/>\n     * &#064;param arr<br \/>\n     * &#064;param left<br \/>\n     * &#064;param right<br \/>\n     * &#064;return<br \/>\n     *\/<\/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> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u9009\u62e9\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4e3a\u57fa\u51c6\u5143\u7d20<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> baseValue <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> left <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 keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/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 comment\">\/\/ \u5f53\u524d\u5143\u7d20\u5c0f\u4e8e\u57fa\u51c6\u5143\u7d20<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> baseValue<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token comment\">\/\/ \u4ea4\u6362\u4f4d\u7f6e<\/span><br \/>\n                i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token comment\">\/\/ \u4ea4\u6362\u5f53\u524d\u5143\u7d20\u4e0e\u8f83\u5c0f\u5143\u7d20<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                arr<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n            <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;\u5feb\u901f\u6392\u5e8f&#xff0c;\u6392\u5e8f\u4e2d\u95f4\u8fc7\u7a0b\u7ed3\u679c&#xff1a;&#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>arr<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u4ea4\u6362\u57fa\u51c6\u5143\u7d20\u4e0e\u8f83\u5c0f\u5143\u7d20\u7d22\u5f15\u4e0b\u4e00\u4e2a\u5143\u7d20<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        arr<span class=\"token punctuation\">[<\/span>i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<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;\u5feb\u901f\u6392\u5e8f&#xff0c;\u57fa\u51c6\u5143\u7d20\u4ea4\u6362\u4f4d\u7f6e\u540e\u7ed3\u679c&#xff1a;&#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>arr<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8fd4\u56de\u57fa\u51c6\u5143\u7d20\u7d22\u5f15<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<ul>\n<li>\u6d4b\u8bd5&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SortTest<\/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> arr4 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/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 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;\u539f\u6570\u7ec4&#xff1a;&#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>arr4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">quickSort4<\/span><span class=\"token punctuation\">(<\/span>arr4<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> arr4<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 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;\u5feb\u901f\u6392\u5e8f\u540e&#xff1a;&#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>arr4<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250606102539-6842c2239fd55.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>5.\u5f52\u5e76\u6392\u5e8f<\/h4>\n<ul>\n<li>\u601d\u8def&#xff1a;\u5f52\u5e76\u6392\u5e8f\u662f\u4e00\u79cd\u5178\u578b\u7684\u5206\u6cbb\u7b97\u6cd5\u3002 \u2460\u5206&#xff1a;\u5c06\u6570\u7ec4\u5206\u6210\u4e24\u534a&#xff1b; \u2461\u6cbb&#xff1a;\u9012\u5f52\u5bf9\u5de6\u53f3\u4e24\u90e8\u5206\u8fdb\u884c\u6392\u5e8f&#xff1b; \u2462\u5408&#xff1a;\u5c06\u5de6\u53f3\u4e24\u90e8\u5206\u6709\u5e8f\u6570\u7ec4\u5408\u5e76\u4e3a\u6709\u5e8f\u6570\u7ec4\u3002<\/li>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(nlog n)<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(n)<\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u7a33\u5b9a<\/li>\n<li>\u5b9e\u73b0\u4ee3\u7801&#xff1a;<\/li>\n<\/ul>\n<p>    <span class=\"token comment\">\/**<br \/>\n     * \u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5 \u4e4b \u5f52\u5e76\u6392\u5e8f(\u4ece\u5c0f\u5230\u5927\u6392\u5217)<br \/>\n     * &#064;param arr<br \/>\n     *\/<\/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\">mergeSort5<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> temp<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">null<\/span> <span class=\"token operator\">||<\/span> arr<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u53d6\u4e2d\u95f4\u7d22\u5f15<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&#043;<\/span> left<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u9012\u5f52\u6392\u5e8f\u5de6\u534a\u8fb9<\/span><br \/>\n            <span class=\"token function\">mergeSort5<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> mid<span class=\"token punctuation\">,<\/span> temp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u9012\u5f52\u6392\u5e8f\u53f3\u534a\u8fb9<\/span><br \/>\n            <span class=\"token function\">mergeSort5<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> mid <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">,<\/span> temp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5408\u5e76\u5de6\u53f3\u4e24\u4e2a\u6709\u5e8f\u6570\u7ec4<\/span><br \/>\n            <span class=\"token function\">merge<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> left<span class=\"token punctuation\">,<\/span> mid<span class=\"token punctuation\">,<\/span> right<span class=\"token punctuation\">,<\/span> temp<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 comment\">\/**<br \/>\n     * \u5408\u5e76\u4e24\u4e2a\u6709\u5e8f\u6570\u7ec4<br \/>\n     *<br \/>\n     * &#064;param arr   \u539f\u6570\u7ec4<br \/>\n     * &#064;param left  \u5de6\u6307\u9488<br \/>\n     * &#064;param mid   \u4e2d\u95f4\u7d22\u5f15<br \/>\n     * &#064;param right \u53f3\u6307\u9488<br \/>\n     * &#064;param temp  \u4e34\u65f6\u6570\u7ec4<br \/>\n     *\/<\/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\">merge<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> mid<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> right<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> temp<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5de6\u5b50\u6570\u7ec4\u8d77\u59cb\u7d22\u5f15<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> leftIndex <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u53f3\u5b50\u6570\u7ec4\u8d77\u59cb\u7d22\u5f15<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> rightIndex <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\">\/\/  \u4e34\u65f6\u6570\u7ec4\u7d22\u5f15<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> tempIndex <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u6bd4\u8f83\u5de6\u53f3\u4e24\u90e8\u5206\u7684\u5143\u7d20&#xff0c;\u5c06\u8f83\u5c0f\u7684\u653e\u5165temp<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>leftIndex <span class=\"token operator\">&lt;&#061;<\/span> mid <span class=\"token operator\">&amp;&amp;<\/span> rightIndex <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>arr<span class=\"token punctuation\">[<\/span>leftIndex<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>rightIndex<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                temp<span class=\"token punctuation\">[<\/span>tempIndex<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>leftIndex<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                temp<span class=\"token punctuation\">[<\/span>tempIndex<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>rightIndex<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 comment\">\/\/ \u5c06\u5de6\u8fb9\u5269\u4f59\u5143\u7d20\u586b\u5145\u8fdbtemp\u4e2d<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>leftIndex <span class=\"token operator\">&lt;&#061;<\/span> mid<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            temp<span class=\"token punctuation\">[<\/span>tempIndex<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>leftIndex<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token comment\">\/\/  \u5c06\u53f3\u8fb9\u5269\u4f59\u5143\u7d20\u586b\u5145\u8fdbtemp\u4e2d<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>rightIndex <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            temp<span class=\"token punctuation\">[<\/span>tempIndex<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>rightIndex<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5c06temp\u4e2d\u7684\u5143\u7d20\u62f7\u8d1d\u5230arr\u4e2d<\/span><br \/>\n        tempIndex <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;&#061;<\/span> right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            arr<span class=\"token punctuation\">[<\/span>left<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">[<\/span>tempIndex<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><\/p>\n<ul>\n<li>\u6d4b\u8bd5&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SortTest<\/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> arr5 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/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 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;\u539f\u6570\u7ec4&#xff1a;&#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>arr5<span class=\"token punctuation\">)<\/span><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> tempArr <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span>arr5<span class=\"token punctuation\">.<\/span>length<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">mergeSort5<\/span><span class=\"token punctuation\">(<\/span>arr5<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> arr5<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> tempArr<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;\u5f52\u5e76\u6392\u5e8f\u540e&#xff1a;&#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>arr5<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250606102539-6842c223b5444.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>6. \u5806\u6392\u5e8f<\/h4>\n<ul>\n<li>\u601d\u8def&#xff1a;\u5806\u6392\u5e8f(Heap Sort)\u662f\u4e00\u79cd\u57fa\u4e8e\u4e8c\u53c9\u5806\u6570\u636e\u7ed3\u6784\u7684\u6bd4\u8f83\u6392\u5e8f\u7b97\u6cd5,\u6392\u5e8f\u601d\u8def&#xff1a; \u2460\u6784\u5efa\u5806&#xff0c;\u5c06\u65e0\u5e8f\u6570\u7ec4\u6784\u5efa\u6210\u4e00\u4e2a\u6700\u5927\u5806&#xff08;\u6216\u8005\u6700\u5c0f\u5806&#xff09; \u2461\u6392\u5e8f&#xff0c;\u6bcf\u6b21\u53d6\u51fa\u5806\u9876\u5143\u7d20&#xff0c;\u5e76\u8c03\u6574\u5806&#xff0c;\u5c06\u5806\u9876\u5143\u7d20\u653e\u5230\u5df2\u6392\u5e8f\u7684\u672b\u5c3e&#xff0c;\u91cd\u590dn-1\u6b21&#xff0c;\u5373\u53ef\u5f97\u5230\u4e00\u4e2a\u6709\u5e8f\u6570\u7ec4\u3002<\/li>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;O(nlogn)<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(1)<\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u4e0d\u7a33\u5b9a<\/li>\n<li>\u5b9e\u73b0\u4ee3\u7801&#xff1a;<\/li>\n<\/ul>\n<p>    <span class=\"token comment\">\/**<br \/>\n     * \u5e38\u89c1\u7684\u6392\u5e8f\u7b97\u6cd5 \u4e4b \u5806\u6392\u5e8f(\u4ece\u5c0f\u5230\u5927\u6392\u5217)<br \/>\n     * &#064;param arr<br \/>\n     *\/<\/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\">heapSort6<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>arr <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">null<\/span> <span class=\"token operator\">||<\/span> arr<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u6784\u5efa\u6700\u5927\u5806<\/span><br \/>\n        <span class=\"token function\">buildMaxHeap<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u9010\u4e00\u4ea4\u6362\u5806\u9876\u5143\u7d20&#xff08;\u6700\u5927\u503c&#xff09;\u5230\u6570\u7ec4\u672b\u5c3e&#xff0c;\u5e76\u8c03\u6574\u5806<\/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> arr<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\">&gt;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5c06\u5806\u9876\u5143\u7d20\u4e0e\u672b\u5c3e\u5143\u7d20\u4ea4\u6362<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            arr<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u8c03\u6574\u5806&#xff0c;\u4f7f\u5176\u91cd\u65b0\u6210\u4e3a\u6700\u5927\u5806&#xff08;\u5806\u5927\u5c0f\u51cf1&#xff09;<\/span><br \/>\n            <span class=\"token function\">heapAdjust<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> i<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;\u5806\u6392\u5e8f\u4e2d\u95f4\u8fc7\u7a0b&#xff1a;&#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>arr<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>    <span class=\"token comment\">\/**<br \/>\n     * heapAdjust<br \/>\n     * &#064;param arr<br \/>\n     *\/<\/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\">buildMaxHeap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u4ece\u6700\u540e\u4e00\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u5f00\u59cb&#xff0c;\u4ece\u4e0b\u81f3\u4e0a&#xff0c;\u4ece\u53f3\u81f3\u5de6\u8fdb\u884c\u5806\u5316<\/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> arr<span class=\"token punctuation\">.<\/span>length <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5806\u5316<\/span><br \/>\n            <span class=\"token function\">heapAdjust<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">,<\/span> arr<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 comment\">\/**<br \/>\n     * \u8c03\u6574\u5806<br \/>\n     * &#064;param arr<br \/>\n     * &#064;param i<br \/>\n     * &#064;param heapSize<br \/>\n     *\/<\/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\">heapAdjust<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> i<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> heapSize<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u521d\u59cb\u5316\u6700\u5927\u503c\u4e3a\u5f53\u524d\u8282\u70b9<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> largest <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5de6\u5b50\u8282\u70b9<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u53f3\u5b50\u8282\u70b9<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> right <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> i <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5982\u679c\u5de6\u5b50\u8282\u70b9\u5927\u4e8e\u5f53\u524d\u6700\u5927\u8282\u70b9<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left <span class=\"token operator\">&lt;<\/span> heapSize <span class=\"token operator\">&amp;&amp;<\/span> arr<span class=\"token punctuation\">[<\/span>left<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>largest<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            largest <span class=\"token operator\">&#061;<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5982\u679c\u53f3\u5b50\u8282\u70b9\u5927\u4e8e\u5f53\u524d\u6700\u5927\u8282\u70b9<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>right <span class=\"token operator\">&lt;<\/span> heapSize <span class=\"token operator\">&amp;&amp;<\/span> arr<span class=\"token punctuation\">[<\/span>right<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> arr<span class=\"token punctuation\">[<\/span>largest<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            largest <span class=\"token operator\">&#061;<\/span> right<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5982\u679c\u6700\u5927\u8282\u70b9\u4e0d\u662f\u5f53\u524d\u8282\u70b9&#xff0c;\u4ea4\u6362\u5e76\u7ee7\u7eed\u8c03\u6574<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>largest <span class=\"token operator\">!&#061;<\/span> i<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            arr<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> arr<span class=\"token punctuation\">[<\/span>largest<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            arr<span class=\"token punctuation\">[<\/span>largest<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token function\">heapAdjust<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> largest<span class=\"token punctuation\">,<\/span> heapSize<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<ul>\n<li>\u6d4b\u8bd5&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SortTest<\/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> arr6 <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/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 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;\u539f\u6570\u7ec4&#xff1a;&#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>arr6<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">heapSort6<\/span><span class=\"token punctuation\">(<\/span>arr6<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;\u5806\u6392\u5e8f\u540e&#xff1a;&#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>arr6<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250606102539-6842c223c07e9.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>7. \u603b\u7ed3<\/h4>\n<table>\n<tr>\u7b97\u6cd5\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u7a7a\u95f4\u590d\u6742\u5ea6\u7a33\u5b9a\u6027\u9002\u7528\u573a\u666f<\/tr>\n<tbody>\n<tr>\n<td>\u5192\u6ce1\u6392\u5e8f<\/td>\n<td>O(n\u00b2)<\/td>\n<td>O(1)<\/td>\n<td>\u7a33\u5b9a<\/td>\n<td>\u6559\u5b66\u3001\u5c0f\u6570\u636e\u96c6<\/td>\n<\/tr>\n<tr>\n<td>\u9009\u62e9\u6392\u5e8f<\/td>\n<td>O(n\u00b2)<\/td>\n<td>O(1)<\/td>\n<td>\u4e0d\u7a33\u5b9a<\/td>\n<td>\u7b80\u5355\u5b9e\u73b0\u4f46\u6548\u7387\u4f4e<\/td>\n<\/tr>\n<tr>\n<td>\u63d2\u5165\u6392\u5e8f<\/td>\n<td>O(n\u00b2)<\/td>\n<td>O(1)<\/td>\n<td>\u7a33\u5b9a<\/td>\n<td>\u90e8\u5206\u6709\u5e8f\u6570\u7ec4<\/td>\n<\/tr>\n<tr>\n<td>\u5feb\u901f\u6392\u5e8f<\/td>\n<td>O(n log n)<\/td>\n<td>O(log 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