{"id":2479,"date":"2023-06-30T14:17:52","date_gmt":"2023-06-30T06:17:52","guid":{"rendered":"https:\/\/xinchewhd.com.cn\/?p=2479"},"modified":"2023-06-30T14:20:44","modified_gmt":"2023-06-30T06:20:44","slug":"java%e5%ae%9e%e7%8e%b0%e5%85%ab%e5%a4%a7%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/xinchewhd.com.cn\/index.php\/java\/java%e5%ae%9e%e7%8e%b0%e5%85%ab%e5%a4%a7%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95\/","title":{"rendered":"Java\u5b9e\u73b0\u516b\u5927\u6392\u5e8f\u7b97\u6cd5"},"content":{"rendered":"\n<p>\u5e38\u89c1\u6392\u5e8f\u7b97\u6cd5\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E7%9B%B4%E6%8E%A5%E6%8F%92%E5%85%A5%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u76f4\u63a5\u63d2\u5165\u6392\u5e8f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E5%B8%8C%E5%B0%94%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u5e0c\u5c14\u6392\u5e8f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E7%AE%80%E5%8D%95%E9%80%89%E6%8B%A9%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u7b80\u5355\u9009\u62e9\u6392\u5e8f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E5%A0%86%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u5806\u6392\u5e8f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E5%86%92%E6%B3%A1%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u5192\u6ce1\u6392\u5e8f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E5%BF%AB%E9%80%9F%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u5feb\u901f\u6392\u5e8f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E5%BD%92%E5%B9%B6%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u5f52\u5e76\u6392\u5e8f<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cnblogs.com\/morethink\/p\/8419151.html#%E5%9F%BA%E6%95%B0%E6%8E%92%E5%BA%8F\" target=\"_blank\"  rel=\"nofollow\" >\u57fa\u6570\u6392\u5e8f<\/a><\/li>\n<\/ol>\n\n\n\n<p>\u5b83\u4eec\u90fd\u5c5e\u4e8e\u5185\u90e8\u6392\u5e8f\uff0c\u4e5f\u5c31\u662f\u53ea\u8003\u8651\u6570\u636e\u91cf\u8f83\u5c0f\u4ec5\u9700\u8981\u4f7f\u7528\u5185\u5b58\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u4ed6\u4eec\u4e4b\u95f4\u5173\u7cfb\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"664\" height=\"478\" data-src=\"https:\/\/wp-moto-1258805347.cos.ap-shanghai.myqcloud.com\/2023\/06\/20230630061226804.png\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\" class=\"wp-image-2480 lazyload\" srcset=\"https:\/\/wp-moto-1258805347.cos.ap-shanghai.myqcloud.com\/2023\/06\/20230630061226804.png 664w, https:\/\/wp-moto-1258805347.cos.ap-shanghai.myqcloud.com\/2023\/06\/20230630061226804-300x216.png 300w\" sizes=\"auto, (max-width: 664px) 100vw, 664px\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"664\" height=\"478\" src=\"https:\/\/wp-moto-1258805347.cos.ap-shanghai.myqcloud.com\/2023\/06\/20230630061226804.png\" alt=\"\" class=\"wp-image-2480\" srcset=\"https:\/\/wp-moto-1258805347.cos.ap-shanghai.myqcloud.com\/2023\/06\/20230630061226804.png 664w, https:\/\/wp-moto-1258805347.cos.ap-shanghai.myqcloud.com\/2023\/06\/20230630061226804-300x216.png 300w\" sizes=\"auto, (max-width: 664px) 100vw, 664px\" \/><\/noscript><\/figure>\n\n\n\n<p><strong>\u7a33\u5b9a\u4e0e\u975e\u7a33\u5b9a<\/strong>:<\/p>\n\n\n\n<p>\u5982\u679c\u4e00\u4e2a\u6392\u5e8f\u7b97\u6cd5\u80fd\u591f\u4fdd\u7559\u6570\u7ec4\u4e2d\u91cd\u590d\u5143\u7d20\u7684\u76f8\u5bf9\u4f4d\u7f6e\u5219\u53ef\u4ee5\u88ab\u79f0\u4e3a\u662f\u00a0<strong>\u7a33\u5b9a<\/strong>\u00a0\u7684\u3002\u53cd\u4e4b\uff0c\u5219\u662f\u00a0<strong>\u975e\u7a33\u5b9a<\/strong>\u00a0\u7684\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\">\u76f4\u63a5\u63d2\u5165\u6392\u5e8f<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u901a\u5e38\u4eba\u4eec\u6574\u7406\u6865\u724c\u7684\u65b9\u6cd5\u662f\u4e00\u5f20\u4e00\u5f20\u7684\u6765\uff0c\u5c06\u6bcf\u4e00\u5f20\u724c\u63d2\u5165\u5230\u5176\u4ed6\u5df2\u7ecf\u6709\u5e8f\u7684\u724c\u4e2d\u7684\u9002\u5f53\u4f4d\u7f6e\u3002\u5728\u8ba1\u7b97\u673a\u7684\u5b9e\u73b0\u4e2d\uff0c\u4e3a\u4e86\u8981\u7ed9\u63d2\u5165\u7684\u5143\u7d20\u817e\u51fa\u7a7a\u95f4\uff0c\u6211\u4eec\u9700\u8981\u5c06\u5176\u4f59\u6240\u6709\u5143\u7d20\u5728\u63d2\u5165\u4e4b\u524d\u90fd\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u63d2\u5165\u6392\u5e8f\u90fd\u91c7\u7528in-place\u5728\u6570\u7ec4\u4e0a\u5b9e\u73b0\u3002\u5177\u4f53\u7b97\u6cd5\u63cf\u8ff0\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4ece\u7b2c\u4e00\u4e2a\u5143\u7d20\u5f00\u59cb\uff0c\u8be5\u5143\u7d20\u53ef\u4ee5\u8ba4\u4e3a\u5df2\u7ecf\u88ab\u6392\u5e8f<\/li>\n\n\n\n<li>\u53d6\u51fa\u4e0b\u4e00\u4e2a\u5143\u7d20\uff0c\u5728\u5df2\u7ecf\u6392\u5e8f\u7684\u5143\u7d20\u5e8f\u5217\u4e2d\u4ece\u540e\u5411\u524d\u626b\u63cf<\/li>\n\n\n\n<li>\u5982\u679c\u8be5\u5143\u7d20\uff08\u5df2\u6392\u5e8f\uff09\u5927\u4e8e\u65b0\u5143\u7d20\uff0c\u5c06\u8be5\u5143\u7d20\u79fb\u5230\u4e0b\u4e00\u4f4d\u7f6e<\/li>\n\n\n\n<li>\u91cd\u590d\u6b65\u9aa43\uff0c\u76f4\u5230\u627e\u5230\u5df2\u6392\u5e8f\u7684\u5143\u7d20\u5c0f\u4e8e\u6216\u8005\u7b49\u4e8e\u65b0\u5143\u7d20\u7684\u4f4d\u7f6e<\/li>\n\n\n\n<li>\u5c06\u65b0\u5143\u7d20\u63d2\u5165\u5230\u8be5\u4f4d\u7f6e\u540e<\/li>\n\n\n\n<li>\u91cd\u590d\u6b65\u9aa42~5<\/li>\n<\/ol>\n\n\n\n<p>\u52a8\u6001\u6548\u679c\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/28749729-ca072084-7503-11e7-881c-92aa915ce369.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/28749729-ca072084-7503-11e7-881c-92aa915ce369.gif\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<p><strong>\u6ce8\u610f<\/strong>\uff1a<br>\u5982\u679c&nbsp;<em>\u6bd4\u8f83\u64cd\u4f5c<\/em>&nbsp;\u7684\u4ee3\u4ef7\u6bd4&nbsp;<em>\u4ea4\u6362\u64cd\u4f5c<\/em>&nbsp;\u5927\u7684\u8bdd\uff0c\u53ef\u4ee5\u91c7\u7528<a href=\"https:\/\/zh.wikipedia.org\/wiki\/%E4%BA%8C%E5%88%86%E6%9F%A5%E6%89%BE%E6%B3%95\" target=\"_blank\" rel=\"noreferrer noopener\" rel=\"nofollow\" >\u4e8c\u5206\u67e5\u627e\u6cd5<\/a>\u6765\u51cf\u5c11&nbsp;<em>\u6bd4\u8f83\u64cd\u4f5c<\/em>&nbsp;\u7684\u6570\u76ee\u3002\u8be5\u7b97\u6cd5\u53ef\u4ee5\u8ba4\u4e3a\u662f&nbsp;<strong>\u63d2\u5165\u6392\u5e8f<\/strong>&nbsp;\u7684\u4e00\u4e2a\u53d8\u79cd\uff0c\u79f0\u4e3a<a href=\"https:\/\/zh.wikipedia.org\/w\/index.php?title=%E4%BA%8C%E5%88%86%E6%9F%A5%E6%89%BE%E6%8F%92%E5%85%A5%E6%8E%92%E5%BA%8F&amp;action=edit&amp;redlink=1\" target=\"_blank\" rel=\"noreferrer noopener\" rel=\"nofollow\" >\u4e8c\u5206\u67e5\u627e\u63d2\u5165\u6392\u5e8f<\/a>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\/**\n * \u901a\u8fc7\u4ea4\u6362\u8fdb\u884c\u63d2\u5165\u6392\u5e8f\uff0c\u501f\u9274\u5192\u6ce1\u6392\u5e8f\n *\n * @param a\n *\/\npublic static void sort(int&#91;] a) {\n    for (int i = 0; i &lt; a.length - 1; i++) {\n        for (int j = i + 1; j &gt; 0; j--) {\n            if (a&#91;j] &lt; a&#91;j - 1]) {\n                int temp = a&#91;j];\n                a&#91;j] = a&#91;j - 1];\n                a&#91;j - 1] = temp;\n            }\n        }\n    }\n}\n\n\/**\n * \u901a\u8fc7\u5c06\u8f83\u5927\u7684\u5143\u7d20\u90fd\u5411\u53f3\u79fb\u52a8\u800c\u4e0d\u603b\u662f\u4ea4\u6362\u4e24\u4e2a\u5143\u7d20\n *\n * @param a\n *\/\npublic static void sort2(int&#91;] a) {\n    for (int i = 1; i &lt; a.length; i++) {\n        int num = a&#91;i];\n        int j;\n        for (j = i; j &gt; 0 &amp;&amp; num &lt; a&#91;j - 1]; j--) {\n            a&#91;j] = a&#91;j - 1];\n        }\n        a&#91;j] = num;\n    }\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<p>\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u590d\u6742\u5ea6\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u6bd4\u8f83\u4e0e\u603b\u7ed3\">\u6bd4\u8f83\u4e0e\u603b\u7ed3<\/h2>\n\n\n\n<p>\u63d2\u5165\u6392\u5e8f\u6240\u9700\u7684\u65f6\u95f4\u53d6\u51b3\u4e8e\u8f93\u5165\u5143\u7d20\u7684\u521d\u59cb\u987a\u5e8f\u3002\u4f8b\u5982\uff0c\u5bf9\u4e00\u4e2a\u5f88\u5927\u4e14\u5176\u4e2d\u7684\u5143\u7d20\u5df2\u7ecf\u6709\u5e8f(\u6216\u63a5\u8fd1\u6709\u5e8f)\u7684\u6570\u7ec4\u8fdb\u884c\u6392\u5e8f\u5c06\u4f1a\u6bd4\u968f\u673a\u987a\u5e8f\u7684\u6570\u7ec4\u6216\u662f\u9006\u5e8f\u6570\u7ec4\u8fdb\u884c\u6392\u5e8f\u8981\u5feb\u5f97\u591a\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u5e0c\u5c14\u6392\u5e8f\">\u5e0c\u5c14\u6392\u5e8f<\/h1>\n\n\n\n<p>\u5e0c\u5c14\u6392\u5e8f\uff0c\u4e5f\u79f0&nbsp;<strong>\u9012\u51cf\u589e\u91cf\u6392\u5e8f\u7b97\u6cd5<\/strong>\uff0c\u662f\u63d2\u5165\u6392\u5e8f\u7684\u4e00\u79cd\u66f4\u9ad8\u6548\u7684\u6539\u8fdb\u7248\u672c\u3002\u5e0c\u5c14\u6392\u5e8f\u662f&nbsp;<strong>\u975e\u7a33\u5b9a\u6392\u5e8f\u7b97\u6cd5<\/strong>\u3002<\/p>\n\n\n\n<p>\u5e0c\u5c14\u6392\u5e8f\u662f\u57fa\u4e8e\u63d2\u5165\u6392\u5e8f\u7684\u4ee5\u4e0b\u4e24\u70b9\u6027\u8d28\u800c\u63d0\u51fa\u6539\u8fdb\u65b9\u6cd5\u7684\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u63d2\u5165\u6392\u5e8f\u5728\u5bf9\u51e0\u4e4e\u5df2\u7ecf\u6392\u597d\u5e8f\u7684\u6570\u636e\u64cd\u4f5c\u65f6\uff0c\u6548\u7387\u9ad8\uff0c\u5373\u53ef\u4ee5\u8fbe\u5230\u7ebf\u6027\u6392\u5e8f\u7684\u6548\u7387<\/li>\n\n\n\n<li>\u4f46\u63d2\u5165\u6392\u5e8f\u4e00\u822c\u6765\u8bf4\u662f\u4f4e\u6548\u7684\uff0c\u56e0\u4e3a\u63d2\u5165\u6392\u5e8f\u6bcf\u6b21\u53ea\u80fd\u5c06\u6570\u636e\u79fb\u52a8\u4e00<\/li>\n<\/ul>\n\n\n\n<p>\u5e0c\u5c14\u6392\u5e8f\u662f\u5148\u5c06\u6574\u4e2a\u5f85\u6392\u5e8f\u7684\u8bb0\u5f55\u5e8f\u5217\u5206\u5272\u6210\u4e3a\u82e5\u5e72\u5b50\u5e8f\u5217\u5206\u522b\u8fdb\u884c\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\uff0c\u5f85\u6574\u4e2a\u5e8f\u5217\u4e2d\u7684\u8bb0\u5f55\u201c\u57fa\u672c\u6709\u5e8f\u201d\u65f6\uff0c\u518d\u5bf9\u5168\u4f53\u8bb0\u5f55\u8fdb\u884c\u4f9d\u6b21\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3-1\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u5c06\u5f85\u6392\u5e8f\u6570\u7ec4\u6309\u7167\u6b65\u957fgap\u8fdb\u884c\u5206\u7ec4\uff0c\u7136\u540e\u5c06\u6bcf\u7ec4\u7684\u5143\u7d20\u5229\u7528\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u7684\u65b9\u6cd5\u8fdb\u884c\u6392\u5e8f\uff1b\u6bcf\u6b21\u518d\u5c06gap\u6298\u534a\u51cf\u5c0f\uff0c\u5faa\u73af\u4e0a\u8ff0\u64cd\u4f5c\uff1b\u5f53gap=1\u65f6\uff0c\u5229\u7528\u76f4\u63a5\u63d2\u5165\uff0c\u5b8c\u6210\u6392\u5e8f\u3002<\/p>\n\n\n\n<p>\u53ef\u4ee5\u770b\u5230\u6b65\u957f\u7684\u9009\u62e9\u662f\u5e0c\u5c14\u6392\u5e8f\u7684\u91cd\u8981\u90e8\u5206\u3002\u53ea\u8981\u6700\u7ec8\u6b65\u957f\u4e3a1\u4efb\u4f55\u6b65\u957f\u5e8f\u5217\u90fd\u53ef\u4ee5\u5de5\u4f5c\u3002\u4e00\u822c\u6765\u8bf4\u6700\u7b80\u5355\u7684\u6b65\u957f\u53d6\u503c\u662f<strong>\u521d\u6b21\u53d6\u6570\u7ec4\u957f\u5ea6\u7684\u4e00\u534a<\/strong>\u4e3a\u589e\u91cf\uff0c\u4e4b\u540e\u6bcf\u6b21\u518d\u51cf\u534a\uff0c\u76f4\u5230\u589e\u91cf\u4e3a1\u3002\u66f4\u597d\u7684\u6b65\u957f\u5e8f\u5217\u53d6\u503c\u53ef\u4ee5\u53c2\u8003<a href=\"https:\/\/zh.wikipedia.org\/wiki\/%E5%B8%8C%E5%B0%94%E6%8E%92%E5%BA%8F#.E6.AD.A5.E9.95.BF.E5.BA.8F.E5.88.97\" target=\"_blank\" rel=\"noreferrer noopener\" rel=\"nofollow\" >\u7ef4\u57fa\u767e\u79d1<\/a>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0-1\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u9009\u62e9\u4e00\u4e2a\u589e\u91cf\u5e8f\u5217 t1\uff0ct2\uff0c\u2026\u2026\uff0ctk\uff0c\u5176\u4e2d ti &gt; tj, tk = 1\uff1b<\/li>\n\n\n\n<li>\u6309\u589e\u91cf\u5e8f\u5217\u4e2a\u6570 k\uff0c\u5bf9\u5e8f\u5217\u8fdb\u884c k \u8d9f\u6392\u5e8f\uff1b<\/li>\n\n\n\n<li>\u6bcf\u8d9f\u6392\u5e8f\uff0c\u6839\u636e\u5bf9\u5e94\u7684\u589e\u91cf ti\uff0c\u5c06\u5f85\u6392\u5e8f\u5217\u5206\u5272\u6210\u82e5\u5e72\u957f\u5ea6\u4e3a m \u7684\u5b50\u5e8f\u5217\uff0c\u5206\u522b\u5bf9\u5404\u5b50\u8868\u8fdb\u884c\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u3002\u4ec5\u589e\u91cf\u56e0\u5b50\u4e3a 1 \u65f6\uff0c\u6574\u4e2a\u5e8f\u5217\u4f5c\u4e3a\u4e00\u4e2a\u8868\u6765\u5904\u7406\uff0c\u8868\u957f\u5ea6\u5373\u4e3a\u6574\u4e2a\u5e8f\u5217\u7684\u957f\u5ea6\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u6548\u679c\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/4697893fd8a952d01956e192640c1c3c.png\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/4697893fd8a952d01956e192640c1c3c.png\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0-1\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<p>\u4e0b\u9762\u53c2\u8003\u300a\u7b97\u6cd5\u300b\u4e2d\u7ed9\u51fa\u7684\u6b65\u957f\u9009\u62e9\u7b56\u7565\uff0c\u300a\u7b97\u6cd5\u300b\u4e2d\u7ed9\u51fa\u7684\u89e3\u91ca\u662f<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u4e0b\u9762\u4ee3\u7801\u4e2d\u9012\u589e\u5e8f\u5217\u7684\u8ba1\u7b97\u548c\u4f7f\u7528\u90fd\u5f88\u7b80\u5355\uff0c\u548c\u590d\u6742\u9012\u589e\u5e8f\u5217\u7684\u6027\u80fd\u63a5\u8fd1\u3002\u5f53\u53ef\u4ee5\u8bc1\u660e\u590d\u6742\u7684\u5e8f\u5217\u5728\u6700\u574f\u60c5\u51b5\u4e0b\u7684\u6027\u80fd\u8981\u597d\u4e8e\u6211\u4eec\u6240\u4f7f\u7528\u7684\u9012\u589e\u5e8f\u5217\u3002\u66f4\u52a0\u4f18\u79c0\u7684\u9012\u589e\u5e8f\u5217\u6709\u5f85\u6211\u4eec\u53bb\u53d1\u73b0\u3002<\/p>\n<\/blockquote>\n\n\n\n<pre class=\"wp-block-code\"><code>public static void sort(int&#91;] a) {\n    int length = a.length;\n    int h = 1;\n    while (h &lt; length \/ 3) h = 3 * h + 1;\n    for (; h &gt;= 1; h \/= 3) {\n        for (int i = 0; i &lt; a.length - h; i += h) {\n            for (int j = i + h; j &gt; 0; j -= h) {\n                if (a&#91;j] &lt; a&#91;j - h]) {\n                    int temp = a&#91;j];\n                    a&#91;j] = a&#91;j - h];\n                    a&#91;j - h] = temp;\n                }\n            }\n        }\n    }\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790-1\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u5e0c\u5c14\u6392\u5e8f\u590d\u6742\u5ea6:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>O(nlog2 n)<\/td><td>O(nlog2 n)<\/td><td>O(nlog2 n)<\/td><td>O(1)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u603b\u7ed3\u4e0e\u601d\u8003\">\u603b\u7ed3\u4e0e\u601d\u8003<\/h2>\n\n\n\n<p>\u5e0c\u5c14\u6392\u5e8f\u66f4\u9ad8\u6548\u7684\u539f\u56e0\u662f\u5b83\u6743\u8861\u4e86\u5b50\u6570\u7ec4\u7684\u89c4\u6a21\u548c\u6709\u5e8f\u6027\u3002\u6392\u5e8f\u4e4b\u521d\uff0c\u5404\u4e2a\u5b50\u6570\u7ec4\u90fd\u5f88\u77ed\uff0c\u6392\u5e8f\u4e4b\u540e\u5b50\u6570\u7ec4\u90fd\u662f\u90e8\u5206\u6709\u5e8f\u7684\uff0c\u8fd9\u4e24\u79cd\u60c5\u51b5\u90fd\u5f88\u9002\u5408\u63d2\u5165\u6392\u5e8f\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u7b80\u5355\u9009\u62e9\u6392\u5e8f\">\u7b80\u5355\u9009\u62e9\u6392\u5e8f<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3-2\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u9009\u62e9\u6392\u5e8f\uff08Selection sort\uff09\u662f\u4e00\u79cd\u7b80\u5355\u76f4\u89c2\u7684\u6392\u5e8f\u7b97\u6cd5\u3002\u5b83\u7684\u5de5\u4f5c\u539f\u7406\u5982\u4e0b\u3002\u9996\u5148\u5728\u672a\u6392\u5e8f\u5e8f\u5217\u4e2d\u627e\u5230\u6700\u5c0f\uff08\u5927\uff09\u5143\u7d20\uff0c\u5b58\u653e\u5230\u6392\u5e8f\u5e8f\u5217\u7684\u8d77\u59cb\u4f4d\u7f6e\uff0c\u7136\u540e\uff0c\u518d\u4ece\u5269\u4f59\u672a\u6392\u5e8f\u5143\u7d20\u4e2d\u7ee7\u7eed\u5bfb\u627e\u6700\u5c0f\uff08\u5927\uff09\u5143\u7d20\uff0c\u7136\u540e\u653e\u5230\u5df2\u6392\u5e8f\u5e8f\u5217\u7684\u672b\u5c3e\u3002\u4ee5\u6b64\u7c7b\u63a8\uff0c\u76f4\u5230\u6240\u6709\u5143\u7d20\u5747\u6392\u5e8f\u5b8c\u6bd5\u3002<\/p>\n\n\n\n<p>\u9009\u62e9\u6392\u5e8f\u7684\u4e3b\u8981\u4f18\u70b9\u4e0e\u6570\u636e\u79fb\u52a8\u6709\u5173\u3002\u5982\u679c\u67d0\u4e2a\u5143\u7d20\u4f4d\u4e8e\u6b63\u786e\u7684\u6700\u7ec8\u4f4d\u7f6e\u4e0a\uff0c\u5219\u5b83\u4e0d\u4f1a\u88ab\u79fb\u52a8\u3002\u9009\u62e9\u6392\u5e8f\u6bcf\u6b21\u4ea4\u6362\u4e00\u5bf9\u5143\u7d20\uff0c\u5b83\u4eec\u5f53\u4e2d\u81f3\u5c11\u6709\u4e00\u4e2a\u5c06\u88ab\u79fb\u5230\u5176\u6700\u7ec8\u4f4d\u7f6e\u4e0a\uff0c\u56e0\u6b64\u5bf9 n\u4e2a\u5143\u7d20\u7684\u8868\u8fdb\u884c\u6392\u5e8f\u603b\u5171\u8fdb\u884c\u81f3\u591a n-1 \u6b21\u4ea4\u6362\u3002\u5728\u6240\u6709\u7684\u5b8c\u5168\u4f9d\u9760\u4ea4\u6362\u53bb\u79fb\u52a8\u5143\u7d20\u7684\u6392\u5e8f\u65b9\u6cd5\u4e2d\uff0c\u9009\u62e9\u6392\u5e8f\u5c5e\u4e8e\u975e\u5e38\u597d\u7684\u4e00\u79cd\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0-2\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4ece\u672a\u6392\u5e8f\u5e8f\u5217\u4e2d\uff0c\u627e\u5230\u5173\u952e\u5b57\u6700\u5c0f\u7684\u5143\u7d20<\/li>\n\n\n\n<li>\u5982\u679c\u6700\u5c0f\u5143\u7d20\u4e0d\u662f\u672a\u6392\u5e8f\u5e8f\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\uff0c\u5c06\u5176\u548c\u672a\u6392\u5e8f\u5e8f\u5217\u7b2c\u4e00\u4e2a\u5143\u7d20\u4e92\u6362<\/li>\n\n\n\n<li>\u91cd\u590d1\u30012\u6b65\uff0c\u76f4\u5230\u6392\u5e8f\u7ed3\u675f\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u52a8\u56fe\u6548\u679c\u5982\u4e0b\u6240\u793a\uff1a<br><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/28749720-90304278-7503-11e7-9bc8-e3b56539d8bf.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/28749720-90304278-7503-11e7-9bc8-e3b56539d8bf.gif\" alt=\"\"><\/noscript><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0-2\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>public static void sort(int&#91;] a) {\n    for (int i = 0; i &lt; a.length; i++) {\n        int min = i;\n        \/\/\u9009\u51fa\u4e4b\u540e\u5f85\u6392\u5e8f\u4e2d\u503c\u6700\u5c0f\u7684\u4f4d\u7f6e\n        for (int j = i + 1; j &lt; a.length; j++) {\n            if (a&#91;j] &lt; a&#91;min]) {\n                min = j;\n            }\n        }\n        \/\/\u6700\u5c0f\u503c\u4e0d\u7b49\u4e8e\u5f53\u524d\u503c\u65f6\u8fdb\u884c\u4ea4\u6362\n        if (min != i) {\n            int temp = a&#91;i];\n            a&#91;i] = a&#91;min];\n            a&#91;min] = temp;\n        }\n    }\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790-2\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u9009\u62e9\u6392\u5e8f\u590d\u6742\u5ea6:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u603b\u7ed3\u4e0e\u601d\u8003-1\">\u603b\u7ed3\u4e0e\u601d\u8003<\/h2>\n\n\n\n<p>\u9009\u62e9\u6392\u5e8f\u7684\u7b80\u5355\u548c\u76f4\u89c2\u540d\u526f\u5176\u5b9e\uff0c\u8fd9\u4e5f\u9020\u5c31\u4e86\u5b83\u201d\u51fa\u4e86\u540d\u7684\u6162\u6027\u5b50\u201d\uff0c\u65e0\u8bba\u662f\u54ea\u79cd\u60c5\u51b5\uff0c\u54ea\u6015\u539f\u6570\u7ec4\u5df2\u6392\u5e8f\u5b8c\u6210\uff0c\u5b83\u4e5f\u5c06\u82b1\u8d39\u5c06\u8fd1n\u00b2\/2\u6b21\u904d\u5386\u6765\u786e\u8ba4\u4e00\u904d\u3002\u5373\u4fbf\u662f\u8fd9\u6837\uff0c\u5b83\u7684\u6392\u5e8f\u7ed3\u679c\u4e5f\u8fd8\u662f\u4e0d\u7a33\u5b9a\u7684\u3002 \u552f\u4e00\u503c\u5f97\u9ad8\u5174\u7684\u662f\uff0c\u5b83\u5e76\u4e0d\u8017\u8d39\u989d\u5916\u7684\u5185\u5b58\u7a7a\u95f4\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u5806\u6392\u5e8f\">\u5806\u6392\u5e8f<\/h1>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>1991\u5e74\u7684\u8ba1\u7b97\u673a\u5148\u9a71\u5956\u83b7\u5f97\u8005\u3001\u65af\u5766\u798f\u5927\u5b66\u8ba1\u7b97\u673a\u79d1\u5b66\u7cfb\u6559\u6388\u7f57\u4f2f\u7279\u00b7\u5f17\u6d1b\u4f0a\u5fb7(Robert W\uff0eFloyd) \u548c\u5a01\u5ec9\u59c6\u65af(J\uff0eWilliams) \u57281964\u5e74\u5171\u540c\u53d1\u660e\u4e86\u8457\u540d\u7684\u5806\u6392\u5e8f\u7b97\u6cd5(Heap Sort).<\/p>\n<\/blockquote>\n\n\n\n<p>\u5806\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a?\ufffd\u4e2a\u5143\u7d20\u7684\u5e8f\u5217{k1,k2,..,kn}<br>\u5f53\u4e14\u4ec5\u5f53\u6ee1\u8db3\u4e0b\u5173\u7cfb\u65f6\uff0c\u79f0\u4e4b\u4e3a\u5806\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/a59e9c9d21c72944dac53b59b745a5cc.png\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/a59e9c9d21c72944dac53b59b745a5cc.png\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<p>\u628a\u6b64\u5e8f\u5217\u5bf9\u5e94\u7684\u4e8c\u7ef4\u6570\u7ec4\u770b\u6210\u4e00\u4e2a\u5b8c\u5168\u4e8c\u53c9\u6811\u3002\u90a3\u4e48\u5806\u7684\u542b\u4e49\u5c31\u662f\uff1a<strong>\u5b8c\u5168\u4e8c\u53c9\u6811\u4e2d\u4efb\u4f55\u4e00\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u7684\u503c\u5747\u4e0d\u5927\u4e8e\uff08\u6216\u4e0d\u5c0f\u4e8e\uff09\u5176\u5de6\uff0c\u53f3\u5b69\u5b50\u8282\u70b9\u7684\u503c\u3002<\/strong>&nbsp;\u7531\u4e0a\u8ff0\u6027\u8d28\u53ef\u77e5\u5927\u9876\u5806\u7684\u5806\u9876\u7684\u5173\u952e\u5b57\u80af\u5b9a\u662f\u6240\u6709\u5173\u952e\u5b57\u4e2d\u6700\u5927\u7684\uff0c\u5c0f\u9876\u5806\u7684\u5806\u9876\u7684\u5173\u952e\u5b57\u662f\u6240\u6709\u5173\u952e\u5b57\u4e2d\u6700\u5c0f\u7684\u3002\u56e0\u6b64\u6211\u4eec\u53ef\u4f7f\u7528\u5927\u9876\u5806\u8fdb\u884c\u5347\u5e8f\u6392\u5e8f, \u4f7f\u7528\u5c0f\u9876\u5806\u8fdb\u884c\u964d\u5e8f\u6392\u5e8f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3-3\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u6b64\u5904\u4ee5\u5927\u9876\u5806\u4e3a\u4f8b\uff0c\u5806\u6392\u5e8f\u7684\u8fc7\u7a0b\u5c31\u662f\u5c06\u5f85\u6392\u5e8f\u7684\u5e8f\u5217\u6784\u9020\u6210\u4e00\u4e2a\u5806\uff0c\u9009\u51fa\u5806\u4e2d\u6700\u5927\u7684\u79fb\u8d70\uff0c\u518d\u628a\u5269\u4f59\u7684\u5143\u7d20\u8c03\u6574\u6210\u5806\uff0c\u627e\u51fa\u6700\u5927\u7684\u518d\u79fb\u8d70\uff0c\u91cd\u590d\u76f4\u81f3\u6709\u5e8f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0-3\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5148\u5c06\u521d\u59cb\u5e8f\u5217?[1..?]\ufffd[1..\ufffd]\u5efa\u6210\u4e00\u4e2a\u5927\u9876\u5806, \u90a3\u4e48\u6b64\u65f6\u7b2c\u4e00\u4e2a\u5143\u7d20?1\ufffd1\u6700\u5927, \u6b64\u5806\u4e3a\u521d\u59cb\u7684\u65e0\u5e8f\u533a.<\/li>\n\n\n\n<li>\u518d\u5c06\u5173\u952e\u5b57\u6700\u5927\u7684\u8bb0\u5f55?1\ufffd1&nbsp;(\u5373\u5806\u9876, \u7b2c\u4e00\u4e2a\u5143\u7d20)\u548c\u65e0\u5e8f\u533a\u7684\u6700\u540e\u4e00\u4e2a\u8bb0\u5f55&nbsp;??\ufffd\ufffd&nbsp;\u4ea4\u6362, \u7531\u6b64\u5f97\u5230\u65b0\u7684\u65e0\u5e8f\u533a?[1..?\u22121]\ufffd[1..\ufffd\u22121]\u548c\u6709\u5e8f\u533a?[?]\ufffd[\ufffd], \u4e14\u6ee1\u8db3?[1..?\u22121].????\u2a7d?[?].???\ufffd[1..\ufffd\u22121].\ufffd\ufffd\ufffd\ufffd\u2a7d\ufffd[\ufffd].\ufffd\ufffd\ufffd<\/li>\n\n\n\n<li>\u4ea4\u6362?1\ufffd1&nbsp;\u548c&nbsp;??\ufffd\ufffd&nbsp;\u540e, \u5806\u9876\u53ef\u80fd\u8fdd\u53cd\u5806\u6027\u8d28, \u56e0\u6b64\u9700\u5c06?[1..?\u22121]\ufffd[1..\ufffd\u22121]\u8c03\u6574\u4e3a\u5806. \u7136\u540e\u91cd\u590d\u6b65\u9aa42, \u76f4\u5230\u65e0\u5e8f\u533a\u53ea\u6709\u4e00\u4e2a\u5143\u7d20\u65f6\u505c\u6b62\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u52a8\u56fe\u6548\u679c\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/heap_sort_gif.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\u5806\u6392\u5e8f\u8fc7\u7a0b\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/heap_sort_gif.gif\" alt=\"\u5806\u6392\u5e8f\u8fc7\u7a0b\"\/><\/noscript><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0-3\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<p>\u4ece\u7b97\u6cd5\u63cf\u8ff0\u6765\u770b\uff0c\u5806\u6392\u5e8f\u9700\u8981\u4e24\u4e2a\u8fc7\u7a0b\uff0c\u4e00\u662f\u5efa\u7acb\u5806\uff0c\u4e8c\u662f\u5806\u9876\u4e0e\u5806\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4ea4\u6362\u4f4d\u7f6e\u3002\u6240\u4ee5\u5806\u6392\u5e8f\u6709\u4e24\u4e2a\u51fd\u6570\u7ec4\u6210\u3002\u4e00\u662f\u5efa\u5806\u51fd\u6570\uff0c\u4e8c\u662f\u53cd\u590d\u8c03\u7528\u5efa\u5806\u51fd\u6570\u4ee5\u9009\u62e9\u51fa\u5269\u4f59\u672a\u6392\u5143\u7d20\u4e2d\u6700\u5927\u7684\u6570\u6765\u5b9e\u73b0\u6392\u5e8f\u7684\u51fd\u6570\u3002<\/p>\n\n\n\n<p>\u603b\u7ed3\u8d77\u6765\u5c31\u662f\u5b9a\u4e49\u4e86\u4ee5\u4e0b\u51e0\u79cd\u64cd\u4f5c\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6700\u5927\u5806\u8c03\u6574\uff08Max_Heapify\uff09\uff1a\u5c06\u5806\u7684\u672b\u7aef\u5b50\u8282\u70b9\u4f5c\u8c03\u6574\uff0c\u4f7f\u5f97\u5b50\u8282\u70b9\u6c38\u8fdc\u5c0f\u4e8e\u7236\u8282\u70b9<\/li>\n\n\n\n<li>\u521b\u5efa\u6700\u5927\u5806\uff08Build_Max_Heap\uff09\uff1a\u5c06\u5806\u6240\u6709\u6570\u636e\u91cd\u65b0\u6392\u5e8f<\/li>\n\n\n\n<li>\u5806\u6392\u5e8f\uff08HeapSort\uff09\uff1a\u79fb\u9664\u4f4d\u5728\u7b2c\u4e00\u4e2a\u6570\u636e\u7684\u6839\u8282\u70b9\uff0c\u5e76\u505a\u6700\u5927\u5806\u8c03\u6574\u7684\u9012\u5f52\u8fd0\u7b97<\/li>\n<\/ul>\n\n\n\n<p>\u5bf9\u4e8e\u5806\u8282\u70b9\u7684\u8bbf\u95ee\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7236\u8282\u70b9i\u7684\u5de6\u5b50\u8282\u70b9\u5728\u4f4d\u7f6e\uff1a<code>(2*i+1)<\/code>;<\/li>\n\n\n\n<li>\u7236\u8282\u70b9i\u7684\u53f3\u5b50\u8282\u70b9\u5728\u4f4d\u7f6e\uff1a<code>(2*i+2)<\/code>;<\/li>\n\n\n\n<li>\u5b50\u8282\u70b9i\u7684\u7236\u8282\u70b9\u5728\u4f4d\u7f6e\uff1a<code>floor((i-1)\/2)<\/code>;<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>\/**\n * @param a\n *\/\npublic static void sort(int&#91;] a) {\n\n    for (int i = a.length - 1; i &gt; 0; i--) {\n        max_heapify(a, i);\n\n        \/\/\u5806\u9876\u5143\u7d20(\u7b2c\u4e00\u4e2a\u5143\u7d20)\u4e0eKn\u4ea4\u6362\n        int temp = a&#91;0];\n        a&#91;0] = a&#91;i];\n        a&#91;i] = temp;\n    }\n}\n\n\/***\n *\n *  \u5c06\u6570\u7ec4\u5806\u5316\n *  i = \u7b2c\u4e00\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u3002\n *  \u4ece\u7b2c\u4e00\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u5f00\u59cb\u5373\u53ef\u3002\u65e0\u9700\u4ece\u6700\u540e\u4e00\u4e2a\u53f6\u5b50\u8282\u70b9\u5f00\u59cb\u3002\n *  \u53f6\u5b50\u8282\u70b9\u53ef\u4ee5\u770b\u4f5c\u5df2\u7b26\u5408\u5806\u8981\u6c42\u7684\u8282\u70b9\uff0c\u6839\u8282\u70b9\u5c31\u662f\u5b83\u81ea\u5df1\u4e14\u81ea\u5df1\u4ee5\u4e0b\u503c\u4e3a\u6700\u5927\u3002\n *\n * @param a\n * @param n\n *\/\npublic static void max_heapify(int&#91;] a, int n) {\n    int child;\n    for (int i = (n - 1) \/ 2; i &gt;= 0; i--) {\n        \/\/\u5de6\u5b50\u8282\u70b9\u4f4d\u7f6e\n        child = 2 * i + 1;\n        \/\/\u53f3\u5b50\u8282\u70b9\u5b58\u5728\u4e14\u5927\u4e8e\u5de6\u5b50\u8282\u70b9\uff0cchild\u53d8\u6210\u53f3\u5b50\u8282\u70b9\n        if (child != n &amp;&amp; a&#91;child] &lt; a&#91;child + 1]) {\n            child++;\n        }\n        \/\/\u4ea4\u6362\u7236\u8282\u70b9\u4e0e\u5de6\u53f3\u5b50\u8282\u70b9\u4e2d\u7684\u6700\u5927\u503c\n        if (a&#91;i] &lt; a&#91;child]) {\n            int temp = a&#91;i];\n            a&#91;i] = a&#91;child];\n            a&#91;child] = temp;\n        }\n    }\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790-3\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5efa\u7acb\u5806\u7684\u8fc7\u7a0b, \u4ecelength\/2 \u4e00\u76f4\u5904\u7406\u52300, \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n);<\/li>\n\n\n\n<li>\u8c03\u6574\u5806\u7684\u8fc7\u7a0b\u662f\u6cbf\u7740\u5806\u7684\u7236\u5b50\u8282\u70b9\u8fdb\u884c\u8c03\u6574, \u6267\u884c\u6b21\u6570\u4e3a\u5806\u7684\u6df1\u5ea6, \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(lgn);<\/li>\n\n\n\n<li>\u5806\u6392\u5e8f\u7684\u8fc7\u7a0b\u7531n\u6b21\u7b2c2\u6b65\u5b8c\u6210, \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(nlgn).<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>?(?log2?)\ufffd(\ufffdlog2\u2061\ufffd)<\/td><td>?(?log2?)\ufffd(\ufffdlog2\u2061\ufffd)<\/td><td>?(?log2?)\ufffd(\ufffdlog2\u2061\ufffd)<\/td><td>?(1)\ufffd(1)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u603b\u7ed3\u4e0e\u601d\u8003-2\">\u603b\u7ed3\u4e0e\u601d\u8003<\/h2>\n\n\n\n<p><strong>\u7531\u4e8e\u5806\u6392\u5e8f\u4e2d\u521d\u59cb\u5316\u5806\u7684\u8fc7\u7a0b\u6bd4\u8f83\u6b21\u6570\u8f83\u591a, \u56e0\u6b64\u5b83\u4e0d\u592a\u9002\u7528\u4e8e\u5c0f\u5e8f\u5217<\/strong>\u3002 \u540c\u65f6\u7531\u4e8e\u591a\u6b21\u4efb\u610f\u4e0b\u6807\u76f8\u4e92\u4ea4\u6362\u4f4d\u7f6e, \u76f8\u540c\u5143\u7d20\u4e4b\u95f4\u539f\u672c\u76f8\u5bf9\u7684\u987a\u5e8f\u88ab\u7834\u574f\u4e86, \u56e0\u6b64, \u5b83\u662f\u4e0d\u7a33\u5b9a\u7684\u6392\u5e8f\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u5192\u6ce1\u6392\u5e8f\">\u5192\u6ce1\u6392\u5e8f<\/h1>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u6211\u60f3\u5bf9\u4e8e\u5b83\u6bcf\u4e2a\u5b66\u8fc7C\u8bed\u8a00\u7684\u90fd\u4f1a\u4e86\u89e3\uff0c\u8fd9\u53ef\u80fd\u662f\u5f88\u591a\u4eba\u63a5\u89e6\u7684\u7b2c\u4e00\u4e2a\u6392\u5e8f\u7b97\u6cd5\u3002<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3-4\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u5192\u6ce1\u6392\u5e8f\uff08Bubble Sort\uff09\u662f\u4e00\u79cd\u7b80\u5355\u7684\u6392\u5e8f\u7b97\u6cd5\u3002\u5b83\u91cd\u590d\u5730\u8d70\u8bbf\u8fc7\u8981\u6392\u5e8f\u7684\u6570\u5217\uff0c\u4e00\u6b21\u6bd4\u8f83\u4e24\u4e2a\u5143\u7d20\uff0c\u5982\u679c\u4ed6\u4eec\u7684\u987a\u5e8f\u9519\u8bef\u5c31\u628a\u4ed6\u4eec\u4ea4\u6362\u8fc7\u6765\u3002\u8d70\u8bbf\u6570\u5217\u7684\u5de5\u4f5c\u662f\u91cd\u590d\u5730\u8fdb\u884c\u76f4\u5230\u6ca1\u6709\u518d\u9700\u8981\u4ea4\u6362\uff0c\u4e5f\u5c31\u662f\u8bf4\u8be5\u6570\u5217\u5df2\u7ecf\u6392\u5e8f\u5b8c\u6210\u3002\u8fd9\u4e2a\u7b97\u6cd5\u7684\u540d\u5b57\u7531\u6765\u662f\u56e0\u4e3a\u8d8a\u5c0f\u7684\u5143\u7d20\u4f1a\u7ecf\u7531\u4ea4\u6362\u6162\u6162\u201c\u6d6e\u201d\u5230\u6570\u5217\u7684\u9876\u7aef\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0-4\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<p>\u5192\u6ce1\u6392\u5e8f\u7b97\u6cd5\u7684\u8fd0\u4f5c\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6bd4\u8f83\u76f8\u90bb\u7684\u5143\u7d20\u3002\u5982\u679c\u7b2c\u4e00\u4e2a\u6bd4\u7b2c\u4e8c\u4e2a\u5927\uff0c\u5c31\u4ea4\u6362\u4ed6\u4eec\u4e24\u4e2a\u3002<\/li>\n\n\n\n<li>\u5bf9\u6bcf\u4e00\u5bf9\u76f8\u90bb\u5143\u7d20\u4f5c\u540c\u6837\u7684\u5de5\u4f5c\uff0c\u4ece\u5f00\u59cb\u7b2c\u4e00\u5bf9\u5230\u7ed3\u5c3e\u7684\u6700\u540e\u4e00\u5bf9\u3002\u8fd9\u6b65\u505a\u5b8c\u540e\uff0c\u6700\u540e\u7684\u5143\u7d20\u4f1a\u662f\u6700\u5927\u7684\u6570\u3002<\/li>\n\n\n\n<li>\u9488\u5bf9\u6240\u6709\u7684\u5143\u7d20\u91cd\u590d\u4ee5\u4e0a\u7684\u6b65\u9aa4\uff0c\u9664\u4e86\u6700\u540e\u4e00\u4e2a\u3002<\/li>\n\n\n\n<li>\u6301\u7eed\u6bcf\u6b21\u5bf9\u8d8a\u6765\u8d8a\u5c11\u7684\u5143\u7d20\u91cd\u590d\u4e0a\u9762\u7684\u6b65\u9aa4\uff0c\u76f4\u5230\u6ca1\u6709\u4efb\u4f55\u4e00\u5bf9\u6570\u5b57\u9700\u8981\u6bd4\u8f83\u3002<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/bubble.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/bubble.gif\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0-4\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>public static void sort(int&#91;] a) {\n    \/\/\u5916\u5c42\u5faa\u73af\u63a7\u5236\u6bd4\u8f83\u7684\u6b21\u6570\n    for (int i = 0; i &lt; a.length - 1; i++) {\n      \/\/\u5185\u5c42\u5faa\u73af\u63a7\u5236\u5230\u8fbe\u4f4d\u7f6e\n        for (int j = 0; j &lt; a.length - i - 1; j++) {\n            \/\/\u524d\u9762\u7684\u5143\u7d20\u6bd4\u540e\u9762\u5927\u5c31\u4ea4\u6362\n            if (a&#91;j] &gt; a&#91;j + 1]) {\n                int temp = a&#91;j];\n                a&#91;j] = a&#91;j + 1];\n                a&#91;j + 1] = temp;\n            }\n        }\n    }\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790-4\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u5192\u6ce1\u6392\u5e8f\u7b97\u6cd5\u590d\u6742\u5ea6:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>O(n\u00b2)<\/td><td>O(n)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u5192\u6ce1\u6392\u5e8f\u662f\u6700\u5bb9\u6613\u5b9e\u73b0\u7684\u6392\u5e8f, \u6700\u574f\u7684\u60c5\u51b5\u662f\u6bcf\u6b21\u90fd\u9700\u8981\u4ea4\u6362, \u5171\u9700\u904d\u5386\u5e76\u4ea4\u6362\u5c06\u8fd1n\u00b2\/2\u6b21, \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n\u00b2). \u6700\u4f73\u7684\u60c5\u51b5\u662f\u5185\u5faa\u73af\u904d\u5386\u4e00\u6b21\u540e\u53d1\u73b0\u6392\u5e8f\u662f\u5bf9\u7684, \u56e0\u6b64\u9000\u51fa\u5faa\u73af, \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n). \u5e73\u5747\u6765\u8bb2, \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n\u00b2). \u7531\u4e8e\u5192\u6ce1\u6392\u5e8f\u4e2d\u53ea\u6709\u7f13\u5b58\u7684temp\u53d8\u91cf\u9700\u8981\u5185\u5b58\u7a7a\u95f4, \u56e0\u6b64\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3a\u5e38\u91cfO(1).<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u603b\u7ed3\u4e0e\u601d\u8003-3\">\u603b\u7ed3\u4e0e\u601d\u8003<\/h2>\n\n\n\n<p>\u7531\u4e8e\u5192\u6ce1\u6392\u5e8f\u53ea\u5728\u76f8\u90bb\u5143\u7d20\u5927\u5c0f\u4e0d\u7b26\u5408\u8981\u6c42\u65f6\u624d\u8c03\u6362\u4ed6\u4eec\u7684\u4f4d\u7f6e, \u5b83\u5e76\u4e0d\u6539\u53d8\u76f8\u540c\u5143\u7d20\u4e4b\u95f4\u7684\u76f8\u5bf9\u987a\u5e8f, \u56e0\u6b64\u5b83\u662f\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u5feb\u901f\u6392\u5e8f\">\u5feb\u901f\u6392\u5e8f<\/h1>\n\n\n\n<p>\u5feb\u901f\u6392\u5e8f\u662f\u7531\u4e1c\u5c3c\u00b7\u970d\u5c14\u6240\u53d1\u5c55\u7684\u4e00\u79cd\u6392\u5e8f\u7b97\u6cd5\u3002\u5728\u5e73\u5747\u72b6\u51b5\u4e0b\uff0c\u6392\u5e8f n \u4e2a\u9879\u76ee\u8981 \u039f(nlogn) \u6b21\u6bd4\u8f83\u3002\u5728\u6700\u574f\u72b6\u51b5\u4e0b\u5219\u9700\u8981 \u039f(n2) \u6b21\u6bd4\u8f83\uff0c\u4f46\u8fd9\u79cd\u72b6\u51b5\u5e76\u4e0d\u5e38\u89c1\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5feb\u901f\u6392\u5e8f\u901a\u5e38\u660e\u663e\u6bd4\u5176\u4ed6 \u039f(nlogn) \u7b97\u6cd5\u66f4\u5feb\uff0c\u56e0\u4e3a\u5b83\u7684\u5185\u90e8\u5faa\u73af\uff08inner loop\uff09\u53ef\u4ee5\u5728\u5927\u90e8\u5206\u7684\u67b6\u6784\u4e0a\u5f88\u6709\u6548\u7387\u5730\u88ab\u5b9e\u73b0\u51fa\u6765\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3-5\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u5feb\u901f\u6392\u5e8f\u7684\u57fa\u672c\u601d\u60f3\uff1a<strong>\u6316\u5751\u586b\u6570+\u5206\u6cbb\u6cd5<\/strong>\u3002<\/p>\n\n\n\n<p>\u5feb\u901f\u6392\u5e8f\u4f7f\u7528\u5206\u6cbb\u6cd5\uff08Divide and conquer\uff09\u7b56\u7565\u6765\u628a\u4e00\u4e2a\u4e32\u884c\uff08list\uff09\u5206\u4e3a\u4e24\u4e2a\u5b50\u4e32\u884c\uff08sub-lists\uff09\u3002<\/p>\n\n\n\n<p>\u5feb\u901f\u6392\u5e8f\u53c8\u662f\u4e00\u79cd\u5206\u800c\u6cbb\u4e4b\u601d\u60f3\u5728\u6392\u5e8f\u7b97\u6cd5\u4e0a\u7684\u5178\u578b\u5e94\u7528\u3002\u672c\u8d28\u4e0a\u6765\u770b\uff0c\u5feb\u901f\u6392\u5e8f\u5e94\u8be5\u7b97\u662f\u5728\u5192\u6ce1\u6392\u5e8f\u57fa\u7840\u4e0a\u7684\u9012\u5f52\u5206\u6cbb\u6cd5\u3002<\/p>\n\n\n\n<p>\u5feb\u901f\u6392\u5e8f\u7684\u540d\u5b57\u8d77\u7684\u662f\u7b80\u5355\u7c97\u66b4\uff0c\u56e0\u4e3a\u4e00\u542c\u5230\u8fd9\u4e2a\u540d\u5b57\u4f60\u5c31\u77e5\u9053\u5b83\u5b58\u5728\u7684\u610f\u4e49\uff0c\u5c31\u662f\u5feb\uff0c\u800c\u4e14\u6548\u7387\u9ad8\uff01\u5b83\u662f\u5904\u7406\u5927\u6570\u636e\u6700\u5feb\u7684\u6392\u5e8f\u7b97\u6cd5\u4e4b\u4e00\u4e86\u3002\u867d\u7136 Worst Case \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8fbe\u5230\u4e86 O(n\u00b2)\uff0c\u4f46\u662f\u4eba\u5bb6\u5c31\u662f\u4f18\u79c0\uff0c\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u90fd\u6bd4\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n logn) \u7684\u6392\u5e8f\u7b97\u6cd5\u8868\u73b0\u8981\u66f4\u597d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0-5\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<p>\u5feb\u901f\u6392\u5e8f\u4f7f\u7528\u5206\u6cbb\u7b56\u7565\u6765\u628a\u4e00\u4e2a\u5e8f\u5217\uff08list\uff09\u5206\u4e3a\u4e24\u4e2a\u5b50\u5e8f\u5217\uff08sub-lists\uff09\u3002\u6b65\u9aa4\u4e3a\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4ece\u6570\u5217\u4e2d\u6311\u51fa\u4e00\u4e2a\u5143\u7d20\uff0c\u79f0\u4e3a\"\u57fa\u51c6\"\uff08pivot\uff09\u3002<\/li>\n\n\n\n<li>\u91cd\u65b0\u6392\u5e8f\u6570\u5217\uff0c\u6240\u6709\u6bd4\u57fa\u51c6\u503c\u5c0f\u7684\u5143\u7d20\u6446\u653e\u5728\u57fa\u51c6\u524d\u9762\uff0c\u6240\u6709\u6bd4\u57fa\u51c6\u503c\u5927\u7684\u5143\u7d20\u6446\u5728\u57fa\u51c6\u540e\u9762\uff08\u76f8\u540c\u7684\u6570\u53ef\u4ee5\u5230\u4efb\u4e00\u8fb9\uff09\u3002\u5728\u8fd9\u4e2a\u5206\u533a\u7ed3\u675f\u4e4b\u540e\uff0c\u8be5\u57fa\u51c6\u5c31\u5904\u4e8e\u6570\u5217\u7684\u4e2d\u95f4\u4f4d\u7f6e\u3002\u8fd9\u4e2a\u79f0\u4e3a\u5206\u533a\uff08partition\uff09\u64cd\u4f5c\u3002<\/li>\n\n\n\n<li>\u9012\u5f52\u5730\uff08recursively\uff09\u628a\u5c0f\u4e8e\u57fa\u51c6\u503c\u5143\u7d20\u7684\u5b50\u6570\u5217\u548c\u5927\u4e8e\u57fa\u51c6\u503c\u5143\u7d20\u7684\u5b50\u6570\u5217\u6392\u5e8f\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u9012\u5f52\u5230\u6700\u5e95\u90e8\u65f6\uff0c\u6570\u5217\u7684\u5927\u5c0f\u662f\u96f6\u6216\u4e00\uff0c\u4e5f\u5c31\u662f\u5df2\u7ecf\u6392\u5e8f\u597d\u4e86\u3002\u8fd9\u4e2a\u7b97\u6cd5\u4e00\u5b9a\u4f1a\u7ed3\u675f\uff0c\u56e0\u4e3a\u5728\u6bcf\u6b21\u7684\u8fed\u4ee3\uff08iteration\uff09\u4e2d\uff0c\u5b83\u81f3\u5c11\u4f1a\u628a\u4e00\u4e2a\u5143\u7d20\u6446\u5230\u5b83\u6700\u540e\u7684\u4f4d\u7f6e\u53bb\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/quick-sort.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/quick-sort.gif\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0-5\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<p>\u7528\u4f2a\u4ee3\u7801\u63cf\u8ff0\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>i = L; j = R;<\/code>&nbsp;\u5c06\u57fa\u51c6\u6570\u6316\u51fa\u5f62\u6210\u7b2c\u4e00\u4e2a\u5751<code>a[i]<\/code>\u3002<\/li>\n\n\n\n<li><code>j--<\/code>\uff0c\u7531\u540e\u5411\u524d\u627e\u6bd4\u5b83\u5c0f\u7684\u6570\uff0c\u627e\u5230\u540e\u6316\u51fa\u6b64\u6570\u586b\u524d\u4e00\u4e2a\u5751<code>a[i]<\/code>\u4e2d\u3002<\/li>\n\n\n\n<li><code>i++<\/code>\uff0c\u7531\u524d\u5411\u540e\u627e\u6bd4\u5b83\u5927\u7684\u6570\uff0c\u627e\u5230\u540e\u4e5f\u6316\u51fa\u6b64\u6570\u586b\u5230\u524d\u4e00\u4e2a\u5751<code>a[j]<\/code>\u4e2d\u3002<\/li>\n\n\n\n<li>\u518d\u91cd\u590d\u6267\u884c2\uff0c3\u4e8c\u6b65\uff0c\u76f4\u5230<code>i==j<\/code>\uff0c\u5c06\u57fa\u51c6\u6570\u586b\u5165<code>a[i]<\/code>\u4e2d<\/li>\n<\/ol>\n\n\n\n<pre class=\"wp-block-code\"><code>public static void sort(int&#91;] a, int low, int high) {\n    \/\/\u5df2\u7ecf\u6392\u5b8c\n    if (low &gt;= high) {\n        return;\n    }\n    int left = low;\n    int right = high;\n\n    \/\/\u4fdd\u5b58\u57fa\u51c6\u503c\n    int pivot = a&#91;left];\n    while (left &lt; right) {\n        \/\/\u4ece\u540e\u5411\u524d\u627e\u5230\u6bd4\u57fa\u51c6\u5c0f\u7684\u5143\u7d20\n        while (left &lt; right &amp;&amp; a&#91;right] &gt;= pivot)\n            right--;\n        a&#91;left] = a&#91;right];\n        \/\/\u4ece\u524d\u5f80\u540e\u627e\u5230\u6bd4\u57fa\u51c6\u5927\u7684\u5143\u7d20\n        while (left &lt; right &amp;&amp; a&#91;left] &lt;= pivot)\n            left++;\n        a&#91;right] = a&#91;left];\n    }\n    \/\/ \u653e\u7f6e\u57fa\u51c6\u503c\uff0c\u51c6\u5907\u5206\u6cbb\u9012\u5f52\u5feb\u6392\n    a&#91;left] = pivot;\n    sort(a, low, left - 1);\n    sort(a, left + 1, high);\n}\n<\/code><\/pre>\n\n\n\n<p>\u4e0a\u9762\u662f\u9012\u5f52\u7248\u7684\u5feb\u901f\u6392\u5e8f\uff1a\u901a\u8fc7\u628a\u57fa\u51c6\u63d2\u5165\u5230\u5408\u9002\u7684\u4f4d\u7f6e\u6765\u5b9e\u73b0\u5206\u6cbb\uff0c\u5e76\u9012\u5f52\u5730\u5bf9\u5206\u6cbb\u540e\u7684\u4e24\u4e2a\u5212\u5206\u7ee7\u7eed\u5feb\u6392\u3002\u90a3\u4e48\u975e\u9012\u5f52\u7248\u7684\u5feb\u6392\u5982\u4f55\u5b9e\u73b0\u5462\uff1f<\/p>\n\n\n\n<p>\u56e0\u4e3a&nbsp;<strong>\u9012\u5f52\u7684\u672c\u8d28\u662f\u6808<\/strong>&nbsp;\uff0c\u6240\u4ee5\u6211\u4eec\u975e\u9012\u5f52\u5b9e\u73b0\u7684\u8fc7\u7a0b\u4e2d\uff0c\u53ef\u4ee5\u501f\u52a9\u6808\u6765\u4fdd\u5b58\u4e2d\u95f4\u53d8\u91cf\u5c31\u53ef\u4ee5\u5b9e\u73b0\u975e\u9012\u5f52\u4e86\u3002\u5728\u8fd9\u91cc\u4e2d\u95f4\u53d8\u91cf\u4e5f\u5c31\u662f\u901a\u8fc7Pritation\u51fd\u6570\u5212\u5206\u533a\u95f4\u4e4b\u540e\u5206\u6210\u5de6\u53f3\u4e24\u90e8\u5206\u7684\u9996\u5c3e\u6307\u9488\uff0c\u53ea\u9700\u8981\u4fdd\u5b58\u8fd9\u4e24\u90e8\u5206\u7684\u9996\u5c3e\u6307\u9488\u5373\u53ef\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>public static void sortByStack(int&#91;] a) {\n    Stack&lt;Integer&gt; stack = new Stack&lt;Integer&gt;();\n\n    \/\/\u521d\u59cb\u72b6\u6001\u7684\u5de6\u53f3\u6307\u9488\u5165\u6808\n    stack.push(0);\n    stack.push(a.length - 1);\n    while (!stack.isEmpty()) {\n        \/\/\u51fa\u6808\u8fdb\u884c\u5212\u5206\n        int high = stack.pop();\n        int low = stack.pop();\n\n        int pivotIndex = partition(a, low, high);\n\n        \/\/\u4fdd\u5b58\u4e2d\u95f4\u53d8\u91cf\n        if (pivotIndex &gt; low) {\n            stack.push(low);\n            stack.push(pivotIndex - 1);\n        }\n        if (pivotIndex &lt; high &amp;&amp; pivotIndex &gt;= 0) {\n            stack.push(pivotIndex + 1);\n            stack.push(high);\n        }\n    }\n}\n\nprivate static int partition(int&#91;] a, int low, int high) {\n    if (low &gt;= high) return -1;\n    int left = low;\n    int right = high;\n    \/\/\u4fdd\u5b58\u57fa\u51c6\u7684\u503c\n    int pivot = a&#91;left];\n    while (left &lt; right) {\n        \/\/\u4ece\u540e\u5411\u524d\u627e\u5230\u6bd4\u57fa\u51c6\u5c0f\u7684\u5143\u7d20\uff0c\u63d2\u5165\u5230\u57fa\u51c6\u4f4d\u7f6e\u4e2d\n        while (left &lt; right &amp;&amp; a&#91;right] &gt;= pivot) {\n            right--;\n        }\n        a&#91;left] = a&#91;right];\n        \/\/\u4ece\u524d\u5f80\u540e\u627e\u5230\u6bd4\u57fa\u51c6\u5927\u7684\u5143\u7d20\n        while (left &lt; right &amp;&amp; a&#91;left] &lt;= pivot) {\n            left++;\n        }\n        a&#91;right] = a&#91;left];\n    }\n    \/\/\u653e\u7f6e\u57fa\u51c6\u503c\uff0c\u51c6\u5907\u5206\u6cbb\u9012\u5f52\u5feb\u6392\n    a&#91;left] = pivot;\n    return left;\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u6539\u8fdb\">\u7b97\u6cd5\u6539\u8fdb<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5207\u6362\u5230\u63d2\u5165\u6392\u5e8f\">\u5207\u6362\u5230\u63d2\u5165\u6392\u5e8f<\/h3>\n\n\n\n<p>\u548c\u5927\u591a\u6570\u9012\u5f52\u6392\u5e8f\u7b97\u6cd5\u4e00\u6837\uff0c\u6539\u8fdb\u5feb\u901f\u6392\u5e8f\u6027\u80fd\u7684\u4e00\u4e2a\u7b80\u5355\u65b9\u6cd5\u57fa\u4e8e\u4ee5\u4e0b\u4e24\u70b9\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5bf9\u4e8e\u5c0f\u6570\u7ec4\uff0c\u5feb\u901f\u6392\u5e8f\u6bd4\u63d2\u5165\u6392\u5e8f\u6162<\/li>\n\n\n\n<li>\u56e0\u4e3a\u9012\u5f52\uff0c\u5feb\u901f\u6392\u5e8f\u7684sort()\u65b9\u6cd5\u5728\u5c0f\u6570\u7ec4\u4e2d\u53f6\u4f1a\u8c03\u7528\u81ea\u5df1<\/li>\n<\/ul>\n\n\n\n<p>\u56e0\u6b64\uff0c\u5728\u6392\u5e8f\u5c0f\u6570\u7ec4\u65f6\u5e94\u8be5\u5207\u6362\u5230\u63d2\u5165\u6392\u5e8f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u4e09\u8005\u53d6\u4e2d\u6cd5\">\u4e09\u8005\u53d6\u4e2d\u6cd5<\/h3>\n\n\n\n<p>\u5feb\u901f\u6392\u5e8f\u662f\u901a\u5e38\u88ab\u8ba4\u4e3a\u5728\u540c\u6570\u91cf\u7ea7\uff08O(nlog2n)\uff09\u7684\u6392\u5e8f\u65b9\u6cd5\u4e2d\u5e73\u5747\u6027\u80fd\u6700\u597d\u7684\u3002\u4f46\u82e5\u521d\u59cb\u5e8f\u5217\u6309\u5173\u952e\u7801\u6709\u5e8f\u6216\u57fa\u672c\u6709\u5e8f\u65f6\uff0c\u5feb\u6392\u5e8f\u53cd\u800c\u8715\u5316\u4e3a\u5192\u6ce1\u6392\u5e8f\u3002\u4e3a\u6539\u8fdb\u4e4b\uff0c\u901a\u5e38\u4ee5\u201c\u4e09\u8005\u53d6\u4e2d\u6cd5\u201d\u6765\u9009\u53d6\u57fa\u51c6\u8bb0\u5f55\uff0c\u5373\u5c06\u6392\u5e8f\u533a\u95f4\u7684\u4e24\u4e2a\u7aef\u70b9\u4e0e\u4e2d\u70b9\u4e09\u4e2a\u8bb0\u5f55\u5173\u952e\u7801\u5c45\u4e2d\u7684\u8c03\u6574\u4e3a\u652f\u70b9\u8bb0\u5f55\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u4e09\u5411\u5feb\u901f\u6392\u5e8f\">\u4e09\u5411\u5feb\u901f\u6392\u5e8f<\/h3>\n\n\n\n<p>\u5b9e\u9645\u5e94\u7528\u4e2d\u7ecf\u5e38\u4f1a\u51fa\u73b0\u542b\u6709\u5927\u91cf\u91cd\u590d\u5143\u7d20\u7684\u6570\u7ec4\u3002\u4f8b\u5982\uff0c\u4e00\u4e2a\u5143\u7d20\u5168\u90e8\u91cd\u590d\u7684\u5b50\u6570\u7ec4\u5c31\u4e0d\u9700\u8981\u7ee7\u7eed\u6392\u5e8f\u4e86\uff0c\u4f46\u6211\u4eec\u7684\u7b97\u6cd5\u8fd8\u4f1a\u7ee7\u7eed\u5c06\u5b83\u5207\u5206\u4e3a\u66f4\u5c0f\u7684\u6570\u7ec4\u3002\u5728\u6709\u5927\u91cf\u91cd\u590d\u5143\u7d20\u7684\u60c5\u51b5\u4e0b\uff0c\u5feb\u901f\u6392\u5e8f\u7684\u9012\u5f52\u6027\u4f1a\u4f7f\u5143\u7d20\u5168\u90e8\u91cd\u590d\u7684\u5b50\u6570\u7ec4\u7ecf\u5e38\u51fa\u73b0\uff0c\u8fd9\u5c31\u6709\u5f88\u5927\u7684\u6539\u8fdb\u6f5c\u529b\uff0c\u7ecf\u5f53\u524d\u5b9e\u73b0\u7684\u7ebf\u6027\u5bf9\u6570\u7ea7\u7684\u6027\u80fd\u63d0\u9ad8\u5230\u7ebf\u6027\u7ea7\u522b\u3002<\/p>\n\n\n\n<p><strong>\u7b97\u6cd5\u63cf\u8ff0<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5728lt\u4e4b\u524d\u7684(lo~lt-1)\u90fd\u5c0f\u4e8e\u4e2d\u95f4\u503c<\/li>\n\n\n\n<li>\u5728gt\u4e4b\u524d\u7684(gt+1~hi)\u90fd\u5927\u4e8e\u4e2d\u95f4\u503c<\/li>\n\n\n\n<li>\u5728lt~i-1\u7684\u90fd\u7b49\u4e8e\u4e2d\u95f4\u503c<\/li>\n\n\n\n<li>\u5728i~gt\u7684\u90fd\u8fd8\u4e0d\u786e\u5b9a\uff08\u6700\u7ec8i\u4f1a\u5927\u4e8egt\uff0c\u5373\u4e0d\u786e\u5b9a\u7684\u5c06\u4e0d\u590d\u5b58\u5728\uff09<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/9f4bd508a48664b472e5644e48c2be4b.png\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/9f4bd508a48664b472e5644e48c2be4b.png\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<p><strong>\u4ee3\u7801\u5b9e\u73b0<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>public static void sortThreeWay(int&#91;] a, int lo, int hi) {\n    if (lo &gt;= hi) {\n        return;\n    }\n    int v = a&#91;lo], lt = lo, i = lo + 1, gt = hi;\n    while (i &lt;= gt) {\n        if (a&#91;i] &lt; v) {\n            swap(a, i++, lt++);\n        } else if (a&#91;i] &gt; v) {\n            swap(a, i, gt--);\n        } else {\n            i++;\n        }\n    }\n    sortThreeWay(a, lo, lt - 1);\n    sortThreeWay(a, gt + 1, hi);\n}\n\nprivate static void swap(int&#91;] a, int i, int j) {\n    int t = a&#91;i];\n    a&#91;i] = a&#91;j];\n    a&#91;j] = t;\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790-5\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u5feb\u901f\u6392\u5e8f\u7b97\u6cd5\u590d\u6742\u5ea6:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(n\u00b2)<\/td><td>O(1)\uff08\u539f\u5730\u5206\u533a\u9012\u5f52\u7248\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u5f52\u5e76\u6392\u5e8f\">\u5f52\u5e76\u6392\u5e8f<\/h1>\n\n\n\n<p>\u5f52\u5e76\u6392\u5e8f\u662f\u5efa\u7acb\u5728\u5f52\u5e76\u64cd\u4f5c\u4e0a\u7684\u4e00\u79cd\u6709\u6548\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c1945\u5e74\u7531\u7ea6\u7ff0\u00b7\u51af\u00b7\u8bfa\u4f0a\u66fc\u9996\u6b21\u63d0\u51fa\u3002\u8be5\u7b97\u6cd5\u662f\u91c7\u7528\u5206\u6cbb\u6cd5\uff08Divide and Conquer\uff09\u7684\u4e00\u4e2a\u975e\u5e38\u5178\u578b\u7684\u5e94\u7528\uff0c\u4e14\u5404\u5c42\u5206\u6cbb\u9012\u5f52\u53ef\u4ee5\u540c\u65f6\u8fdb\u884c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3-6\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u5f52\u5e76\u6392\u5e8f\u7b97\u6cd5\u662f\u5c06\u4e24\u4e2a\uff08\u6216\u4e24\u4e2a\u4ee5\u4e0a\uff09\u6709\u5e8f\u8868\u5408\u5e76\u6210\u4e00\u4e2a\u65b0\u7684\u6709\u5e8f\u8868\uff0c\u5373\u628a\u5f85\u6392\u5e8f\u5e8f\u5217\u5206\u4e3a\u82e5\u5e72\u4e2a\u5b50\u5e8f\u5217\uff0c\u6bcf\u4e2a\u5b50\u5e8f\u5217\u662f\u6709\u5e8f\u7684\u3002\u7136\u540e\u518d\u628a\u6709\u5e8f\u5b50\u5e8f\u5217\u5408\u5e76\u4e3a\u6574\u4f53\u6709\u5e8f\u5e8f\u5217\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/merge.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\u8fd9\u4e2a\u56fe\u5f88\u6709\u6982\u62ec\u6027\uff0c\u6765\u81ea\u7ef4\u57fa\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/merge.gif\" alt=\"\u8fd9\u4e2a\u56fe\u5f88\u6709\u6982\u62ec\u6027\uff0c\u6765\u81ea\u7ef4\u57fa\"\/><\/noscript><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0-6\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<p><strong>\u5f52\u5e76\u6392\u5e8f\u53ef\u901a\u8fc7\u4e24\u79cd\u65b9\u5f0f\u5b9e\u73b0<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u81ea\u4e0a\u800c\u4e0b\u7684\u9012\u5f52<\/li>\n\n\n\n<li>\u81ea\u4e0b\u800c\u4e0a\u7684\u8fed\u4ee3<\/li>\n<\/ul>\n\n\n\n<p><strong>\u9012\u5f52\u6cd5<\/strong>\uff08\u5047\u8bbe\u5e8f\u5217\u5171\u6709n\u4e2a\u5143\u7d20\uff09\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5c06\u5e8f\u5217\u6bcf\u76f8\u90bb\u4e24\u4e2a\u6570\u5b57\u8fdb\u884c\u5f52\u5e76\u64cd\u4f5c\uff0c\u5f62\u6210 floor(n\/2)\u4e2a\u5e8f\u5217\uff0c\u6392\u5e8f\u540e\u6bcf\u4e2a\u5e8f\u5217\u5305\u542b\u4e24\u4e2a\u5143\u7d20\uff1b<\/li>\n\n\n\n<li>\u5c06\u4e0a\u8ff0\u5e8f\u5217\u518d\u6b21\u5f52\u5e76\uff0c\u5f62\u6210 floor(n\/4)\u4e2a\u5e8f\u5217\uff0c\u6bcf\u4e2a\u5e8f\u5217\u5305\u542b\u56db\u4e2a\u5143\u7d20\uff1b<\/li>\n\n\n\n<li>\u91cd\u590d\u6b65\u9aa42\uff0c\u76f4\u5230\u6240\u6709\u5143\u7d20\u6392\u5e8f\u5b8c\u6bd5\u3002<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/merging-sort.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/merging-sort.gif\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<p><strong>\u8fed\u4ee3\u6cd5<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u7533\u8bf7\u7a7a\u95f4\uff0c\u4f7f\u5176\u5927\u5c0f\u4e3a\u4e24\u4e2a\u5df2\u7ecf\u6392\u5e8f\u5e8f\u5217\u4e4b\u548c\uff0c\u8be5\u7a7a\u95f4\u7528\u6765\u5b58\u653e\u5408\u5e76\u540e\u7684\u5e8f\u5217<\/li>\n\n\n\n<li>\u8bbe\u5b9a\u4e24\u4e2a\u6307\u9488\uff0c\u6700\u521d\u4f4d\u7f6e\u5206\u522b\u4e3a\u4e24\u4e2a\u5df2\u7ecf\u6392\u5e8f\u5e8f\u5217\u7684\u8d77\u59cb\u4f4d\u7f6e<\/li>\n\n\n\n<li>\u6bd4\u8f83\u4e24\u4e2a\u6307\u9488\u6240\u6307\u5411\u7684\u5143\u7d20\uff0c\u9009\u62e9\u76f8\u5bf9\u5c0f\u7684\u5143\u7d20\u653e\u5165\u5230\u5408\u5e76\u7a7a\u95f4\uff0c\u5e76\u79fb\u52a8\u6307\u9488\u5230\u4e0b\u4e00\u4f4d\u7f6e<\/li>\n\n\n\n<li>\u91cd\u590d\u6b65\u9aa43\u76f4\u5230\u67d0\u4e00\u6307\u9488\u5230\u8fbe\u5e8f\u5217\u5c3e<\/li>\n\n\n\n<li>\u5c06\u53e6\u4e00\u5e8f\u5217\u5269\u4e0b\u7684\u6240\u6709\u5143\u7d20\u76f4\u63a5\u590d\u5236\u5230\u5408\u5e76\u5e8f\u5217\u5c3e<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0-6\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<p>\u5f52\u5e76\u6392\u5e8f\u5176\u5b9e\u8981\u505a\u4e24\u4ef6\u4e8b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5206\u89e3\uff1a\u5c06\u5e8f\u5217\u6bcf\u6b21\u6298\u534a\u62c6\u5206<\/li>\n\n\n\n<li>\u5408\u5e76\uff1a\u5c06\u5212\u5206\u540e\u7684\u5e8f\u5217\u6bb5\u4e24\u4e24\u6392\u5e8f\u5408\u5e76<\/li>\n<\/ul>\n\n\n\n<p>\u56e0\u6b64\uff0c\u5f52\u5e76\u6392\u5e8f\u5b9e\u9645\u4e0a\u5c31\u662f\u4e24\u4e2a\u64cd\u4f5c\uff0c\u62c6\u5206+\u5408\u5e76<\/p>\n\n\n\n<p>\u4e0b\u9762\u662f\u9012\u5f52\u7684\u65b9\u6cd5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>public class Merge {\n\n    \/\/\u5f52\u5e76\u6240\u9700\u7684\u8f85\u52a9\u6570\u7ec4\n    private static int&#91;] aux;\n\n    public static void sort(int&#91;] a) {\n        \/\/\u4e00\u6b21\u6027\u5206\u914d\u7a7a\u95f4\n        aux = new int&#91;a.length];\n        sort(a, 0, a.length - 1);\n    }\n\n    public static void sort(int&#91;] a, int low, int high) {\n        if (low &gt;= high) {\n            return;\n        }\n        int mid = (low + high) \/ 2;\n        \/\/\u5c06\u5de6\u534a\u8fb9\u6392\u5e8f\n        sort(a, low, mid);\n        \/\/\u5c06\u53f3\u534a\u8fb9\u6392\u5e8f\n        sort(a, mid + 1, high);\n        merge(a, low, mid, high);\n    }\n\n    \/**\n     * \u8be5\u65b9\u6cd5\u5148\u5c06\u6240\u6709\u5143\u7d20\u590d\u5236\u5230aux&#91;]\u4e2d\uff0c\u7136\u540e\u5728\u5f52\u5e76\u4f1aa&#91;]\u4e2d\u3002\u65b9\u6cd5\u548b\u5f52\u5e76\u65f6(\u7b2c\u4e8c\u4e2afor\u5faa\u73af)\n     * \u8fdb\u884c\u4e864\u4e2a\u6761\u4ef6\u5224\u65ad\uff1a\n     * - \u5de6\u534a\u8fb9\u7528\u5c3d(\u53d6\u53f3\u534a\u8fb9\u7684\u5143\u7d20)\n     * - \u53f3\u534a\u8fb9\u7528\u5c3d(\u53d6\u5de6\u534a\u8fb9\u7684\u5143\u7d20)\n     * - \u53f3\u534a\u8fb9\u7684\u5f53\u524d\u5143\u7d20\u5c0f\u4e8e\u5de6\u534a\u8fb9\u7684\u5f53\u524d\u5143\u7d20(\u53d6\u53f3\u534a\u8fb9\u7684\u5143\u7d20)\n     * - \u53f3\u534a\u8fb9\u7684\u5f53\u524d\u5143\u7d20\u5927\u4e8e\u7b49\u4e8e\u5de6\u534a\u8fb9\u7684\u5f53\u524d\u5143\u7d20(\u53d6\u5de6\u534a\u8fb9\u7684\u5143\u7d20)\n     * @param a\n     * @param low\n     * @param mid\n     * @param high\n     *\/\n    public static void merge(int&#91;] a, int low, int mid, int high) {\n        \/\/\u5c06a&#91;low..mid]\u548ca&#91;mid+1..high]\u5f52\u5e76\n        int i = low, j = mid + 1;\n        for (int k = low; k &lt;= high; k++) {\n            aux&#91;k] = a&#91;k];\n        }\n\n        for (int k = low; k &lt;= high; k++) {\n            if (i &gt; mid) {\n                a&#91;k] = aux&#91;j++];\n            } else if (j &gt; high) {\n                a&#91;k] = aux&#91;i++];\n            } else if (aux&#91;j] &lt; aux&#91;i]) {\n                a&#91;k] = aux&#91;j++];\n            } else {\n                a&#91;k] = aux&#91;i++];\n            }\n        }\n    }\n\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790-6\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u5f52\u5e76\u6392\u5e8f\u7b97\u6cd5\u590d\u6742\u5ea6:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(n)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u4ece\u6548\u7387\u4e0a\u770b\uff0c\u5f52\u5e76\u6392\u5e8f\u53ef\u7b97\u662f\u6392\u5e8f\u7b97\u6cd5\u4e2d\u7684\u201d\u4f7c\u4f7c\u8005\u201d. \u5047\u8bbe\u6570\u7ec4\u957f\u5ea6\u4e3an\uff0c\u90a3\u4e48\u62c6\u5206\u6570\u7ec4\u5171\u9700logn\uff0c, \u53c8\u6bcf\u6b65\u90fd\u662f\u4e00\u4e2a\u666e\u901a\u7684\u5408\u5e76\u5b50\u6570\u7ec4\u7684\u8fc7\u7a0b\uff0c \u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n)\uff0c \u6545\u5176\u7efc\u5408\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(nlogn)\u3002\u53e6\u4e00\u65b9\u9762\uff0c \u5f52\u5e76\u6392\u5e8f\u591a\u6b21\u9012\u5f52\u8fc7\u7a0b\u4e2d\u62c6\u5206\u7684\u5b50\u6570\u7ec4\u9700\u8981\u4fdd\u5b58\u5728\u5185\u5b58\u7a7a\u95f4\uff0c \u5176\u7a7a\u95f4\u590d\u6742\u5ea6\u4e3aO(n)\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u603b\u7ed3\u4e0e\u601d\u8003-4\">\u603b\u7ed3\u4e0e\u601d\u8003<\/h2>\n\n\n\n<p>\u5f52\u5e76\u6392\u5e8f\u6700\u5438\u5f15\u4eba\u7684\u6027\u8d28\u662f\u5b83\u80fd\u591f\u4fdd\u8bc1\u5c06\u4efb\u610f\u957f\u5ea6\u4e3aN\u7684\u6570\u7ec4\u6392\u5e8f\u6240\u9700\u65f6\u95f4\u548cNlogN\u6210\u6b63\u6bd4\uff0c\u5b83\u7684\u4e3b\u8981\u7f3a\u70b9\u5219\u662f\u4ed6\u6240\u9700\u7684\u989d\u5916\u7a7a\u95f4\u548cN\u6210\u6b63\u6bd4\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u57fa\u6570\u6392\u5e8f\">\u57fa\u6570\u6392\u5e8f<\/h1>\n\n\n\n<p>\u57fa\u6570\u6392\u5e8f\u7684\u53d1\u660e\u53ef\u4ee5\u8ffd\u6eaf\u52301887\u5e74\u8d6b\u5c14\u66fc\u00b7\u4f55\u4e50\u793c\u5728\u6253\u5b54\u5361\u7247\u5236\u8868\u673a\uff08Tabulation Machine\uff09, \u6392\u5e8f\u5668\u6bcf\u6b21\u53ea\u80fd\u770b\u5230\u4e00\u4e2a\u5217\u3002\u5b83\u662f\u57fa\u4e8e\u5143\u7d20\u503c\u7684\u6bcf\u4e2a\u4f4d\u4e0a\u7684\u5b57\u7b26\u6765\u6392\u5e8f\u7684\u3002 \u5bf9\u4e8e\u6570\u5b57\u800c\u8a00\u5c31\u662f\u5206\u522b\u57fa\u4e8e\u4e2a\u4f4d\uff0c\u5341\u4f4d\uff0c \u767e\u4f4d\u6216\u5343\u4f4d\u7b49\u7b49\u6570\u5b57\u6765\u6392\u5e8f\u3002<\/p>\n\n\n\n<p>\u57fa\u6570\u6392\u5e8f\uff08Radix sort\uff09\u662f\u4e00\u79cd\u975e\u6bd4\u8f83\u578b\u6574\u6570\u6392\u5e8f\u7b97\u6cd5\uff0c\u5176\u539f\u7406\u662f\u5c06\u6574\u6570\u6309\u4f4d\u6570\u5207\u5272\u6210\u4e0d\u540c\u7684\u6570\u5b57\uff0c\u7136\u540e\u6309\u6bcf\u4e2a\u4f4d\u6570\u5206\u522b\u6bd4\u8f83\u3002\u7531\u4e8e\u6574\u6570\u4e5f\u53ef\u4ee5\u8868\u8fbe\u5b57\u7b26\u4e32\uff08\u6bd4\u5982\u540d\u5b57\u6216\u65e5\u671f\uff09\u548c\u7279\u5b9a\u683c\u5f0f\u7684\u6d6e\u70b9\u6570\uff0c\u6240\u4ee5\u57fa\u6570\u6392\u5e8f\u4e5f\u4e0d\u662f\u53ea\u80fd\u4f7f\u7528\u4e8e\u6574\u6570\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u57fa\u672c\u601d\u60f3-7\">\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p>\u5b83\u662f\u8fd9\u6837\u5b9e\u73b0\u7684\uff1a\u5c06\u6240\u6709\u5f85\u6bd4\u8f83\u6570\u503c\uff08\u6b63\u6574\u6570\uff09\u7edf\u4e00\u4e3a\u540c\u6837\u7684\u6570\u4f4d\u957f\u5ea6\uff0c\u6570\u4f4d\u8f83\u77ed\u7684\u6570\u524d\u9762\u8865\u96f6\u3002\u7136\u540e\uff0c\u4ece\u6700\u4f4e\u4f4d\u5f00\u59cb\uff0c\u4f9d\u6b21\u8fdb\u884c\u4e00\u6b21\u6392\u5e8f\u3002\u8fd9\u6837\u4ece\u6700\u4f4e\u4f4d\u6392\u5e8f\u4e00\u76f4\u5230\u6700\u9ad8\u4f4d\u6392\u5e8f\u5b8c\u6210\u4ee5\u540e\uff0c\u6570\u5217\u5c31\u53d8\u6210\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002<\/p>\n\n\n\n<p>\u57fa\u6570\u6392\u5e8f\u6309\u7167\u4f18\u5148\u4ece\u9ad8\u4f4d\u6216\u4f4e\u4f4d\u6765\u6392\u5e8f\u6709\u4e24\u79cd\u5b9e\u73b0\u65b9\u6848\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>MSD\uff08Most significant digital\uff09 \u4ece\u6700\u5de6\u4fa7\u9ad8\u4f4d\u5f00\u59cb\u8fdb\u884c\u6392\u5e8f<\/strong>\u3002\u5148\u6309k1\u6392\u5e8f\u5206\u7ec4, \u540c\u4e00\u7ec4\u4e2d\u8bb0\u5f55, \u5173\u952e\u7801k1\u76f8\u7b49, \u518d\u5bf9\u5404\u7ec4\u6309k2\u6392\u5e8f\u5206\u6210\u5b50\u7ec4, \u4e4b\u540e, \u5bf9\u540e\u9762\u7684\u5173\u952e\u7801\u7ee7\u7eed\u8fd9\u6837\u7684\u6392\u5e8f\u5206\u7ec4, \u76f4\u5230\u6309\u6700\u6b21\u4f4d\u5173\u952e\u7801kd\u5bf9\u5404\u5b50\u7ec4\u6392\u5e8f\u540e. \u518d\u5c06\u5404\u7ec4\u8fde\u63a5\u8d77\u6765, \u4fbf\u5f97\u5230\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002<em>MSD\u65b9\u5f0f\u9002\u7528\u4e8e\u4f4d\u6570\u591a\u7684\u5e8f\u5217<\/em>\u3002<\/li>\n\n\n\n<li><strong>LSD \uff08Least significant digital\uff09\u4ece\u6700\u53f3\u4fa7\u4f4e\u4f4d\u5f00\u59cb\u8fdb\u884c\u6392\u5e8f<\/strong>\u3002\u5148\u4ecekd\u5f00\u59cb\u6392\u5e8f\uff0c\u518d\u5bf9kd-1\u8fdb\u884c\u6392\u5e8f\uff0c\u4f9d\u6b21\u91cd\u590d\uff0c\u76f4\u5230\u5bf9k1\u6392\u5e8f\u540e\u4fbf\u5f97\u5230\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002<em>LSD\u65b9\u5f0f\u9002\u7528\u4e8e\u4f4d\u6570\u5c11\u7684\u5e8f\u5217<\/em>\u3002<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/radix-sort_sample.gif\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\u57fa\u6570\u6392\u5e8fLSD\u52a8\u56fe\u6f14\u793a\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/radix-sort_sample.gif\" alt=\"\u57fa\u6570\u6392\u5e8fLSD\u52a8\u56fe\u6f14\u793a\"\/><\/noscript><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7b97\u6cd5\u63cf\u8ff0-7\">\u7b97\u6cd5\u63cf\u8ff0<\/h2>\n\n\n\n<p>\u6211\u4eec\u4ee5LSD\u4e3a\u4f8b\uff0c\u4ece\u6700\u4f4e\u4f4d\u5f00\u59cb\uff0c\u5177\u4f53\u7b97\u6cd5\u63cf\u8ff0\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u53d6\u5f97\u6570\u7ec4\u4e2d\u7684\u6700\u5927\u6570\uff0c\u5e76\u53d6\u5f97\u4f4d\u6570\uff1b<\/li>\n\n\n\n<li>arr\u4e3a\u539f\u59cb\u6570\u7ec4\uff0c\u4ece\u6700\u4f4e\u4f4d\u5f00\u59cb\u53d6\u6bcf\u4e2a\u4f4d\u7ec4\u6210radix\u6570\u7ec4\uff1b<\/li>\n\n\n\n<li>\u5bf9radix\u8fdb\u884c\u8ba1\u6570\u6392\u5e8f\uff08\u5229\u7528\u8ba1\u6570\u6392\u5e8f\u9002\u7528\u4e8e\u5c0f\u8303\u56f4\u6570\u7684\u7279\u70b9\uff09\uff1b<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ee3\u7801\u5b9e\u73b0-7\">\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<p>\u57fa\u6570\u6392\u5e8f\uff1a\u901a\u8fc7\u5e8f\u5217\u4e2d\u5404\u4e2a\u5143\u7d20\u7684\u503c\uff0c\u5bf9\u6392\u5e8f\u7684N\u4e2a\u5143\u7d20\u8fdb\u884c\u82e5\u5e72\u8d9f\u7684\u201c\u5206\u914d\u201d\u4e0e\u201c\u6536\u96c6\u201d\u6765\u5b9e\u73b0\u6392\u5e8f\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5206\u914d<\/strong>\uff1a\u6211\u4eec\u5c06L[i]\u4e2d\u7684\u5143\u7d20\u53d6\u51fa\uff0c\u9996\u5148\u786e\u5b9a\u5176\u4e2a\u4f4d\u4e0a\u7684\u6570\u5b57\uff0c\u6839\u636e\u8be5\u6570\u5b57\u5206\u914d\u5230\u4e0e\u4e4b\u5e8f\u53f7\u76f8\u540c\u7684\u6876\u4e2d<\/li>\n\n\n\n<li><strong>\u6536\u96c6<\/strong>\uff1a\u5f53\u5e8f\u5217\u4e2d\u6240\u6709\u7684\u5143\u7d20\u90fd\u5206\u914d\u5230\u5bf9\u5e94\u7684\u6876\u4e2d\uff0c\u518d\u6309\u7167\u987a\u5e8f\u4f9d\u6b21\u5c06\u6876\u4e2d\u7684\u5143\u7d20\u6536\u96c6\u5f62\u6210\u65b0\u7684\u4e00\u4e2a\u5f85\u6392\u5e8f\u5217L[]\u3002\u5bf9\u65b0\u5f62\u6210\u7684\u5e8f\u5217L[]\u91cd\u590d\u6267\u884c\u5206\u914d\u548c\u6536\u96c6\u5143\u7d20\u4e2d\u7684\u5341\u4f4d\u3001\u767e\u4f4d...\u76f4\u5230\u5206\u914d\u5b8c\u8be5\u5e8f\u5217\u4e2d\u7684\u6700\u9ad8\u4f4d\uff0c\u5219\u6392\u5e8f\u7ed3\u675f<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>public static void sort(int&#91;] arr) {\n    if (arr.length &lt;= 1) return;\n\n    \/\/\u53d6\u5f97\u6570\u7ec4\u4e2d\u7684\u6700\u5927\u6570\uff0c\u5e76\u53d6\u5f97\u4f4d\u6570\n    int max = 0;\n    for (int i = 0; i &lt; arr.length; i++) {\n        if (max &lt; arr&#91;i]) {\n            max = arr&#91;i];\n        }\n    }\n    int maxDigit = 1;\n    while (max \/ 10 &gt; 0) {\n        maxDigit++;\n        max = max \/ 10;\n    }\n    \/\/\u7533\u8bf7\u4e00\u4e2a\u6876\u7a7a\u95f4\n    int&#91;]&#91;] buckets = new int&#91;10]&#91;arr.length];\n    int base = 10;\n\n    \/\/\u4ece\u4f4e\u4f4d\u5230\u9ad8\u4f4d\uff0c\u5bf9\u6bcf\u4e00\u4f4d\u904d\u5386\uff0c\u5c06\u6240\u6709\u5143\u7d20\u5206\u914d\u5230\u6876\u4e2d\n    for (int i = 0; i &lt; maxDigit; i++) {\n        int&#91;] bktLen = new int&#91;10];        \/\/\u5b58\u50a8\u5404\u4e2a\u6876\u4e2d\u5b58\u50a8\u5143\u7d20\u7684\u6570\u91cf\n\n        \/\/\u5206\u914d\uff1a\u5c06\u6240\u6709\u5143\u7d20\u5206\u914d\u5230\u6876\u4e2d\n        for (int j = 0; j &lt; arr.length; j++) {\n            int whichBucket = (arr&#91;j] % base) \/ (base \/ 10);\n            buckets&#91;whichBucket]&#91;bktLen&#91;whichBucket]] = arr&#91;j];\n            bktLen&#91;whichBucket]++;\n        }\n\n        \/\/\u6536\u96c6\uff1a\u5c06\u4e0d\u540c\u6876\u91cc\u6570\u636e\u6328\u4e2a\u635e\u51fa\u6765,\u4e3a\u4e0b\u4e00\u8f6e\u9ad8\u4f4d\u6392\u5e8f\u505a\u51c6\u5907,\u7531\u4e8e\u9760\u8fd1\u6876\u5e95\u7684\u5143\u7d20\u6392\u540d\u9760\u524d,\u56e0\u6b64\u4ece\u6876\u5e95\u5148\u635e\n        int k = 0;\n        for (int b = 0; b &lt; buckets.length; b++) {\n            for (int p = 0; p &lt; bktLen&#91;b]; p++) {\n                arr&#91;k++] = buckets&#91;b]&#91;p];\n            }\n        }\n        System.out.println(\"Sorting: \" + Arrays.toString(arr));\n        base *= 10;\n    }\n}\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u590d\u6742\u5ea6\u5206\u6790-7\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u57fa\u6570\u6392\u5e8f\u7b97\u6cd5\u590d\u6742\u5ea6\uff0c\u5176\u4e2dk\u4e3a\u6700\u5927\u6570\u7684\u4f4d\u6570\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>O(d*(n+r))<\/td><td>O(d*(n+r))<\/td><td>O(d*(n+r))<\/td><td>O(n+r)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u5176\u4e2d\uff0c<strong>d \u4e3a\u4f4d\u6570\uff0cr \u4e3a\u57fa\u6570\uff0cn \u4e3a\u539f\u6570\u7ec4\u4e2a\u6570<\/strong>\u3002\u5728\u57fa\u6570\u6392\u5e8f\u4e2d\uff0c\u56e0\u4e3a\u6ca1\u6709\u6bd4\u8f83\u64cd\u4f5c\uff0c\u6240\u4ee5\u5728\u590d\u6742\u4e0a\uff0c\u6700\u597d\u7684\u60c5\u51b5\u4e0e\u6700\u574f\u7684\u60c5\u51b5\u5728\u65f6\u95f4\u4e0a\u662f\u4e00\u81f4\u7684\uff0c\u5747\u4e3a&nbsp;<code>O(d*(n + r))<\/code>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u603b\u7ed3\u548c\u601d\u8003\">\u603b\u7ed3\u548c\u601d\u8003<\/h2>\n\n\n\n<p>\u57fa\u6570\u6392\u5e8f\u66f4\u9002\u5408\u7528\u4e8e\u5bf9\u65f6\u95f4, \u5b57\u7b26\u4e32\u7b49\u8fd9\u4e9b&nbsp;<strong>\u6574\u4f53\u6743\u503c\u672a\u77e5\u7684\u6570\u636e<\/strong>&nbsp;\u8fdb\u884c\u6392\u5e8f\u3002<\/p>\n\n\n\n<p>\u57fa\u6570\u6392\u5e8f\u4e0d\u6539\u53d8\u76f8\u540c\u5143\u7d20\u4e4b\u95f4\u7684\u76f8\u5bf9\u987a\u5e8f\uff0c\u56e0\u6b64\u5b83\u662f\u7a33\u5b9a\u7684\u6392\u5e8f\u7b97\u6cd5\u3002<\/p>\n\n\n\n<p><strong>\u57fa\u6570\u6392\u5e8f vs \u8ba1\u6570\u6392\u5e8f vs \u6876\u6392\u5e8f<\/strong><\/p>\n\n\n\n<p>\u8fd9\u4e09\u79cd\u6392\u5e8f\u7b97\u6cd5\u90fd\u5229\u7528\u4e86\u6876\u7684\u6982\u5ff5\uff0c\u4f46\u5bf9\u6876\u7684\u4f7f\u7528\u65b9\u6cd5\u4e0a\u6709\u660e\u663e\u5dee\u5f02\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u57fa\u6570\u6392\u5e8f\uff1a\u6839\u636e\u952e\u503c\u7684\u6bcf\u4f4d\u6570\u5b57\u6765\u5206\u914d\u6876<\/li>\n\n\n\n<li>\u8ba1\u6570\u6392\u5e8f\uff1a\u6bcf\u4e2a\u6876\u53ea\u5b58\u50a8\u5355\u4e00\u952e\u503c<\/li>\n\n\n\n<li>\u6876\u6392\u5e8f\uff1a\u6bcf\u4e2a\u6876\u5b58\u50a8\u4e00\u5b9a\u8303\u56f4\u7684\u6570\u503c<\/li>\n<\/ol>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u516b\u5927\u6392\u5e8f\u7b97\u6cd5\u603b\u7ed3\">\u516b\u5927\u6392\u5e8f\u7b97\u6cd5\u603b\u7ed3<\/h1>\n\n\n\n<p>\u5404\u79cd\u6392\u5e8f\u6027\u80fd\u5bf9\u6bd4\u5982\u4e0b:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u6392\u5e8f\u7c7b\u578b<\/th><th>\u5e73\u5747\u60c5\u51b5<\/th><th>\u6700\u597d\u60c5\u51b5<\/th><th>\u6700\u574f\u60c5\u51b5<\/th><th>\u8f85\u52a9\u7a7a\u95f4<\/th><th>\u7a33\u5b9a\u6027<\/th><\/tr><\/thead><tbody><tr><td>\u5192\u6ce1\u6392\u5e8f<\/td><td>O(n\u00b2)<\/td><td>O(n)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u7a33\u5b9a<\/td><\/tr><tr><td>\u9009\u62e9\u6392\u5e8f<\/td><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u4e0d\u7a33\u5b9a<\/td><\/tr><tr><td>\u76f4\u63a5\u63d2\u5165\u6392\u5e8f<\/td><td>O(n\u00b2)<\/td><td>O(n)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u7a33\u5b9a<\/td><\/tr><tr><td>\u6298\u534a\u63d2\u5165\u6392\u5e8f<\/td><td>O(n\u00b2)<\/td><td>O(n)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u7a33\u5b9a<\/td><\/tr><tr><td>\u5e0c\u5c14\u6392\u5e8f<\/td><td>O(n^1.3)<\/td><td>O(nlogn)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u4e0d\u7a33\u5b9a<\/td><\/tr><tr><td>\u5f52\u5e76\u6392\u5e8f<\/td><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(n)<\/td><td>\u7a33\u5b9a<\/td><\/tr><tr><td>\u5feb\u901f\u6392\u5e8f<\/td><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(n\u00b2)<\/td><td>O(nlog\u2082n)<\/td><td>\u4e0d\u7a33\u5b9a<\/td><\/tr><tr><td>\u5806\u6392\u5e8f<\/td><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(nlog\u2082n)<\/td><td>O(1)<\/td><td>\u4e0d\u7a33\u5b9a<\/td><\/tr><tr><td>\u8ba1\u6570\u6392\u5e8f<\/td><td>O(n+k)<\/td><td>O(n+k)<\/td><td>O(n+k)<\/td><td>O(k)<\/td><td>\u7a33\u5b9a<\/td><\/tr><tr><td>\u6876\u6392\u5e8f<\/td><td>O(n+k)<\/td><td>O(n+k)<\/td><td>O(n\u00b2)<\/td><td>O(n+k)<\/td><td>(\u4e0d)\u7a33\u5b9a<\/td><\/tr><tr><td>\u57fa\u6570\u6392\u5e8f<\/td><td>O(d(n+k))<\/td><td>O(d(n+k))<\/td><td>O(d(n+kd))<\/td><td>O(n+kd)<\/td><td>\u7a33\u5b9a<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u4ece\u65f6\u95f4\u590d\u6742\u5ea6\u6765\u8bf4\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5e73\u65b9\u9636O(n\u00b2)\u6392\u5e8f\uff1a<strong>\u5404\u7c7b\u7b80\u5355\u6392\u5e8f\uff1a\u76f4\u63a5\u63d2\u5165\u3001\u76f4\u63a5\u9009\u62e9\u548c\u5192\u6ce1\u6392\u5e8f<\/strong><\/li>\n\n\n\n<li>\u7ebf\u6027\u5bf9\u6570\u9636O(nlog\u2082n)\u6392\u5e8f\uff1a<strong>\u5feb\u901f\u6392\u5e8f\u3001\u5806\u6392\u5e8f\u548c\u5f52\u5e76\u6392\u5e8f<\/strong><\/li>\n\n\n\n<li>O(n1+\u00a7))\u6392\u5e8f\uff0c\u00a7\u662f\u4ecb\u4e8e0\u548c1\u4e4b\u95f4\u7684\u5e38\u6570\uff1a<strong>\u5e0c\u5c14\u6392\u5e8f<\/strong><\/li>\n\n\n\n<li>\u7ebf\u6027\u9636O(n)\u6392\u5e8f\uff1a<strong>\u57fa\u6570\u6392\u5e8f\uff0c\u6b64\u5916\u8fd8\u6709\u6876\u3001\u7bb1\u6392\u5e8f<\/strong><\/li>\n<\/ol>\n\n\n\n<p>\u8bba\u662f\u5426\u6709\u5e8f\u7684\u5f71\u54cd\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5f53\u539f\u8868\u6709\u5e8f\u6216\u57fa\u672c\u6709\u5e8f\u65f6\uff0c\u76f4\u63a5\u63d2\u5165\u6392\u5e8f\u548c\u5192\u6ce1\u6392\u5e8f\u5c06\u5927\u5927\u51cf\u5c11\u6bd4\u8f83\u6b21\u6570\u548c\u79fb\u52a8\u8bb0\u5f55\u7684\u6b21\u6570\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u53ef\u964d\u81f3O\uff08n\uff09\uff1b<\/li>\n\n\n\n<li>\u800c\u5feb\u901f\u6392\u5e8f\u5219\u76f8\u53cd\uff0c\u5f53\u539f\u8868\u57fa\u672c\u6709\u5e8f\u65f6\uff0c\u5c06\u8715\u5316\u4e3a\u5192\u6ce1\u6392\u5e8f\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u63d0\u9ad8\u4e3aO\uff08n2\uff09\uff1b<\/li>\n\n\n\n<li>\u539f\u8868\u662f\u5426\u6709\u5e8f\uff0c\u5bf9\u7b80\u5355\u9009\u62e9\u6392\u5e8f\u3001\u5806\u6392\u5e8f\u3001\u5f52\u5e76\u6392\u5e8f\u548c\u57fa\u6570\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5f71\u54cd\u4e0d\u5927\u3002<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" class=\"lazyload\"data-src=\"https:\/\/images.morethink.cn\/sort-comparison.png\" src=\"https:\/\/s.nmxc.ltd\/sakurairo_vision\/@2.6\/load_svg\/inload.svg\" onerror=\"imgError(this)\" alt=\"\"\/><noscript><img decoding=\"async\" src=\"https:\/\/images.morethink.cn\/sort-comparison.png\" alt=\"\"\/><\/noscript><\/figure>\n\n\n\n<p><a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/morethink\/algorithm\/tree\/master\/src\/main\/java\/algorithm\/sort\" target=\"_blank\" rel=\"nofollow\" >\u4ee3\u7801\u5730\u5740<\/a><\/p>\n\n\n<div class=\"wp-block-post-excerpt\"><p class=\"wp-block-post-excerpt__excerpt\">\u300a\u7b97\u6cd5\u300b\u7b2c\u56db\u7248 \u7ef4\u57fa\u767e\u79d1 \u516b\u5927\u6392\u5e8f\u7b97\u6cd5\u603b\u7ed3\u4e0ejava\u5b9e\u73b0 \u524d\u7aef\u9762\u8bd5\u5fc5\u5907\u2014\u2014\u5341\u5927\u7ecf\u5178\u6392\u5e8f\u7b97\u6cd5 \u5fc5\u987b\u77e5\u9053\u7684\u516b\u5927\u79cd\u6392&hellip; 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