{"id":203407,"date":"2025-05-22T12:22:03","date_gmt":"2025-05-22T04:22:03","guid":{"rendered":"https:\/\/server.hk\/cnblog\/203407\/"},"modified":"2025-05-22T12:22:03","modified_gmt":"2025-05-22T04:22:03","slug":"%e6%97%b6%e9%97%b4%e5%a4%8d%e6%9d%82%e5%ba%a6%e5%92%8c%e7%a9%ba%e9%97%b4%e5%a4%8d%e6%9d%82%e5%ba%a6","status":"publish","type":"post","link":"https:\/\/server.hk\/cnblog\/203407\/","title":{"rendered":"\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6"},"content":{"rendered":"<p><b><\/b>     <\/p>\n<h1>\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6<\/h1>\n<p><span style=\"cursor: pointer\"><i><\/i>\u6536\u85cf<\/span>    <\/p>\n<p><span style=\"font-size: 15px\">\u6709\u5fd7\u8005\uff0c\u4e8b\u7adf\u6210\uff01\u5982\u679c\u4f60\u5728\u5b66\u4e60<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\">\u6587\u7ae0<\/span>\uff0c\u90a3\u4e48\u672c\u6587<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\">\u300a\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u300b<\/span>\uff0c\u5c31\u5f88\u9002\u5408\u4f60\uff01\u6587\u7ae0\u8bb2\u89e3\u7684\u77e5\u8bc6\u70b9\u4e3b\u8981\u5305\u62ec<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\"><\/span>\uff0c\u82e5\u662f\u4f60\u5bf9\u672c\u6587\u611f\u5174\u8da3\uff0c\u6216\u8005\u662f\u60f3\u641e\u61c2\u5176\u4e2d\u67d0\u4e2a\u77e5\u8bc6\u70b9\uff0c\u5c31\u8bf7\u4f60\u7ee7\u7eed\u5f80\u4e0b\u770b\u5427~<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241107\/1730966276672c730439fe8.jpg\" class=\"aligncenter\"><\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c<strong>\u65f6\u95f4\u590d\u6742\u5ea6<\/strong>\u548c<strong>\u7a7a\u95f4\u590d\u6742\u5ea6<\/strong>\u662f\u6839\u636e\u7b97\u6cd5\u7684\u8d44\u6e90\u4f7f\u7528\u91cf\u968f\u8f93\u5165\u5927\u5c0f\u7684\u53d8\u5316\u6765\u8861\u91cf\u7b97\u6cd5\u6548\u7387\u7684\u65b9\u6cd5\u3002\u8ba9\u6211\u4eec\u56de\u987e\u4e00\u4e0b\u57fa\u7840\u77e5\u8bc6\u548c\u4e00\u4e9b\u5e38\u89c1\u793a\u4f8b\u3002<\/p>\n<h3> \u65f6\u95f4\u590d\u6742\u5ea6 <\/h3>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6\u63cf\u8ff0\u4e86\u57fa\u4e8e\u8f93\u5165\u5927\u5c0f\uff08\u901a\u5e38\u8868\u793a\u4e3a n\uff09\u5b8c\u6210\u7b97\u6cd5\u6240\u9700\u7684\u65f6\u95f4\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u6052\u5b9a\u65f6\u95f4 \u2013 O(1)<\/strong>:<\/p>\n<ul>\n<li>\u7b97\u6cd5\u7684\u6267\u884c\u65f6\u95f4\u4e0d\u968f\u8f93\u5165\u5927\u5c0f\u53d8\u5316\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u901a\u8fc7\u7d22\u5f15\u8bbf\u95ee\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\uff0c\u5982 arr[5].<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u5bf9\u6570\u65f6\u95f4 \u2013 O(log n)<\/strong>:<\/p>\n<ul>\n<li>\u968f\u7740\u8f93\u5165\u5927\u5c0f\u7684\u589e\u52a0\uff0c\u7b97\u6cd5\u7684\u6267\u884c\u65f6\u95f4\u5448\u5bf9\u6570\u589e\u957f\uff0c\u8fd9\u610f\u5473\u7740\u6bcf\u4e00\u6b65\u90fd\u4f1a\u5c06\u95ee\u9898\u5206\u6210\u4e24\u534a\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u5bf9\u6392\u5e8f\u6570\u7ec4\u8fdb\u884c\u4e8c\u5206\u641c\u7d22\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u7ebf\u6027\u65f6\u95f4 \u2013 O(n)<\/strong>:<\/p>\n<ul>\n<li>\u7b97\u6cd5\u7684\u6267\u884c\u65f6\u95f4\u968f\u7740\u8f93\u5165\u5927\u5c0f\u7ebf\u6027\u589e\u957f\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u904d\u5386\u4e00\u6b21\u5305\u542b n \u4e2a\u5143\u7d20\u7684\u6570\u7ec4\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u7ebf\u6027\u65f6\u95f4 \u2013 O(n log n)<\/strong>:<\/p>\n<ul>\n<li>\u5728\u9ad8\u6548\u6392\u5e8f\u7b97\u6cd5\u4e2d\u5f88\u5e38\u89c1\uff0c\u5176\u4e2d\u6bcf\u4e2a\u5143\u7d20\u90fd\u4ee5\u5bf9\u6570\u65b9\u5f0f\u5904\u7406\uff0c\u901a\u5e38\u662f\u7531\u4e8e\u9012\u5f52\u9664\u6cd5\u548c\u7ebf\u6027\u5408\u5e76\u6216\u5904\u7406\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u5f52\u5e76\u6392\u5e8f\u3001\u5feb\u901f\u6392\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u4e8c\u6b21\u65f6\u95f4 \u2013 O(n\u00b2)<\/strong>:<\/p>\n<ul>\n<li>\u6267\u884c\u65f6\u95f4\u4e0e\u8f93\u5165\u5927\u5c0f\u7684\u5e73\u65b9\u6210\u6b63\u6bd4\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u5d4c\u5957\u5faa\u73af\uff0c\u4f8b\u5982\u5c06\u6570\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u4e0e\u5176\u4ed6\u6bcf\u4e2a\u5143\u7d20\u8fdb\u884c\u6bd4\u8f83\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u7acb\u65b9\u65f6\u95f4 \u2013 O(n\u00b3)<\/strong>:<\/p>\n<ul>\n<li>\u6267\u884c\u65f6\u95f4\u968f\u7740\u8f93\u5165\u5927\u5c0f\u7684\u7acb\u65b9\u800c\u589e\u957f\u3002\u5f88\u5c11\u89c1\uff0c\u4f46\u53ef\u80fd\u51fa\u73b0\u5728\u5177\u6709\u4e09\u4e2a\u5d4c\u5957\u5faa\u73af\u7684\u7b97\u6cd5\u4e2d\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u4f7f\u7528\u66b4\u529b\u7b97\u6cd5\u89e3\u51b3\u67d0\u4e9b\u77e9\u9635\u8fd0\u7b97\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u6307\u6570\u65f6\u95f4 \u2013 O(2^n)<\/strong>:<\/p>\n<ul>\n<li>\u8f93\u5165\u4e2d\u6bcf\u589e\u52a0\u4e00\u4e2a\u5143\u7d20\uff0c\u6267\u884c\u65f6\u95f4\u5c31\u4f1a\u52a0\u500d\uff0c\u901a\u5e38\u6765\u81ea\u89e3\u51b3\u6240\u6709\u53ef\u80fd\u7ec4\u5408\u4e2d\u7684\u5b50\u95ee\u9898\u7684\u9012\u5f52\u7b97\u6cd5\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u6590\u6ce2\u90a3\u5951\u6570\u5217\u7684\u7b80\u5355\u89e3\u51b3\u65b9\u6848\uff0c\u5176\u4e2d\u6bcf\u4e2a\u8c03\u7528\u90fd\u4f1a\u5bfc\u81f4\u53e6\u5916\u4e24\u4e2a\u8c03\u7528\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u9636\u4e58\u65f6\u95f4 \u2013 O(n!)<\/strong>:<\/p>\n<ul>\n<li>\u6267\u884c\u65f6\u95f4\u968f\u7740\u8f93\u5165\u5927\u5c0f\u5448\u9636\u4e58\u589e\u957f\u3002\u901a\u5e38\u6765\u81ea\u6d89\u53ca\u751f\u6210\u6240\u6709\u53ef\u80fd\u7684\u6392\u5217\u6216\u7ec4\u5408\u7684\u7b97\u6cd5\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u7528\u86ee\u529b\u89e3\u51b3\u65c5\u884c\u5546\u95ee\u9898\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3> \u7a7a\u95f4\u590d\u6742\u5ea6 <\/h3>\n<p>\u7a7a\u95f4\u590d\u6742\u5ea6\u8861\u91cf\u7b97\u6cd5\u76f8\u5bf9\u4e8e\u8f93\u5165\u5927\u5c0f\u4f7f\u7528\u7684\u5185\u5b58\u91cf\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u6052\u5b9a\u7a7a\u95f4 \u2013 O(1)<\/strong>:<\/p>\n<ul>\n<li>\u65e0\u8bba\u8f93\u5165\u5927\u5c0f\u5982\u4f55\uff0c\u7b97\u6cd5\u90fd\u4f1a\u4f7f\u7528\u56fa\u5b9a\u6570\u91cf\u7684\u5185\u5b58\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u5b58\u50a8\u4e00\u4e9b\u53d8\u91cf\uff0c\u4f8b\u5982\u6574\u6570\u6216\u8ba1\u6570\u5668\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u5bf9\u6570\u7a7a\u95f4 \u2013 O(log n)<\/strong>:<\/p>\n<ul>\n<li>\u5185\u5b58\u4f7f\u7528\u91cf\u5448\u5bf9\u6570\u589e\u957f\uff0c\u8fd9\u901a\u5e38\u51fa\u73b0\u5728\u9012\u5f52\u7b97\u6cd5\u4e2d\uff0c\u6bcf\u4e00\u6b65\u5c06\u95ee\u9898\u51cf\u534a\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u9012\u5f52\u4e8c\u5206\u641c\u7d22\uff08\u7531\u4e8e\u8c03\u7528\u5806\u6808\u800c\u5bfc\u81f4\u7a7a\u95f4\u590d\u6742\u5ea6\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u7ebf\u6027\u7a7a\u95f4 \u2013 O(n)<\/strong>:<\/p>\n<ul>\n<li>\u5185\u5b58\u4f7f\u7528\u91cf\u968f\u7740\u8f93\u5165\u5927\u5c0f\u7ebf\u6027\u589e\u957f\uff0c\u8fd9\u5728\u521b\u5efa\u989d\u5916\u7684\u6570\u7ec4\u6216\u6570\u636e\u7ed3\u6784\u6765\u5b58\u50a8\u8f93\u5165\u65f6\u5f88\u5e38\u89c1\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u521b\u5efa\u5927\u5c0f\u4e3a n \u7684\u6570\u7ec4\u7684\u526f\u672c\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u4e8c\u6b21\u7a7a\u95f4 \u2013 O(n\u00b2)<\/strong>:<\/p>\n<ul>\n<li>\u5185\u5b58\u4f7f\u7528\u91cf\u968f\u7740\u8f93\u5165\u5927\u5c0f\u7684\u5e73\u65b9\u800c\u589e\u957f\uff0c\u4f8b\u5982\u5b58\u50a8\u5927\u5c0f\u4e3a n x n \u7684 2D \u77e9\u9635\u65f6\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u5b58\u50a8\u5177\u6709 n \u4e2a\u8282\u70b9\u7684\u56fe\u7684\u90bb\u63a5\u77e9\u9635\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u6307\u6570\u7a7a\u95f4 \u2013 O(2^n)<\/strong>:<\/p>\n<ul>\n<li>\u5185\u5b58\u4f7f\u7528\u91cf\u968f\u7740\u8f93\u5165\u5927\u5c0f\u5448\u6307\u6570\u7ea7\u589e\u957f\uff0c\u901a\u5e38\u5728\u4e3a\u8f93\u5165\u7684\u6bcf\u4e2a\u53ef\u80fd\u5b50\u96c6\u5b58\u50a8\u6570\u636e\u7684\u9012\u5f52\u89e3\u51b3\u65b9\u6848\u4e2d\u3002<\/li>\n<li>\u793a\u4f8b\uff1a\u5177\u6709\u8bb8\u591a\u91cd\u53e0\u5b50\u95ee\u9898\u7684\u9012\u5f52\u7b97\u6cd5\u4e2d\u7684\u8bb0\u5fc6\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3> \u5b9e\u9645\u4f8b\u5b50 <\/h3>\n<ul>\n<li>\n<p><strong>\u7ebf\u6027\u65f6\u95f4 (O(n)) \u548c\u7ebf\u6027\u7a7a\u95f4 (O(n))<\/strong>:<\/p>\n<ul>\n<li>\u8fed\u4ee3\u6570\u7ec4\u5e76\u5c06\u6bcf\u4e2a\u5143\u7d20\u5b58\u50a8\u5728\u65b0\u6570\u7ec4\u4e2d\u7684\u51fd\u6570\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u4e8c\u6b21\u65f6\u95f4 (O(n\u00b2)) \u548c\u5e38\u6570\u7a7a\u95f4 (O(1))<\/strong>:<\/p>\n<ul>\n<li>\u5728\u6570\u7ec4\u4e0a\u6709\u4e24\u4e2a\u5d4c\u5957\u5faa\u73af\u7684\u51fd\u6570\uff0c\u4f46\u9664\u4e86\u51e0\u4e2a\u53d8\u91cf\u4e4b\u5916\u4e0d\u9700\u8981\u989d\u5916\u7684\u5b58\u50a8\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3> \u5206\u6790\u590d\u6742\u6027 <\/h3>\n<p>\u5206\u6790\u4ee3\u7801\u7684\u65f6\u95f4\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u65f6\uff1a<\/p>\n<ol>\n<li> <strong>\u8bc6\u522b\u5faa\u73af<\/strong>\uff1a\u5d4c\u5957\u5faa\u73af\u901a\u5e38\u4f1a\u589e\u52a0\u590d\u6742\u6027\uff08\u4f8b\u5982\uff0c\u4e00\u4e2a\u5faa\u73af\u7ed9\u51fa ( O(n) )\uff1b\u4e24\u4e2a\u5d4c\u5957\u5faa\u73af\u7ed9\u51fa ( O(n^2) )\uff09\u3002<\/li>\n<li> <strong>\u5bfb\u627e\u9012\u5f52<\/strong>\uff1a\u9012\u5f52\u8c03\u7528\u53ef\u80fd\u4f1a\u5bfc\u81f4\u6307\u6570\u65f6\u95f4\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u5206\u652f\u56e0\u5b50\u548c\u9012\u5f52\u6df1\u5ea6\u3002<\/li>\n<li> <strong>\u8003\u8651\u6570\u636e\u7ed3\u6784<\/strong>\uff1a\u4f7f\u7528\u989d\u5916\u7684\u6570\u636e\u7ed3\u6784\uff08\u5982\u6570\u7ec4\u3001\u5217\u8868\u6216\u54c8\u5e0c\u6620\u5c04\uff09\u53ef\u80fd\u4f1a\u5f71\u54cd\u7a7a\u95f4\u590d\u6742\u5ea6\u3002<\/li>\n<\/ol>\n<h3> \u4e00\u822c\u63d0\u793a <\/h3>\n<ul>\n<li> <strong>\u65f6\u95f4\u590d\u6742\u5ea6<\/strong>\u662f\u5c06\u64cd\u4f5c\u8ba1\u6570\u4f5c\u4e3a\u8f93\u5165\u5927\u5c0f\u7684\u51fd\u6570\u3002<\/li>\n<li> <strong>\u7a7a\u95f4\u590d\u6742\u5ea6<\/strong>\u662f\u5173\u4e8e\u8ba1\u7b97\u6240\u9700\u7684\u989d\u5916\u5185\u5b58\u91cf\u3002<\/li>\n<\/ul>\n<p>\u901a\u8fc7\u8bc4\u4f30\u8fd9\u4e9b\u56e0\u7d20\uff0c\u60a8\u53ef\u4ee5\u6839\u636e\u8f93\u5165\u5927\u5c0f\u4f30\u8ba1\u7b97\u6cd5\u7684\u6267\u884c\u6548\u7387\u4ee5\u53ca\u6d88\u8017\u7684\u5185\u5b58\u91cf\u3002<\/p>\n<p>\u4eca\u5929\u5173\u4e8e\u300a\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u300b\u7684\u5185\u5bb9\u4ecb\u7ecd\u5c31\u5230\u6b64\u7ed3\u675f\uff0c\u5982\u679c\u6709\u4ec0\u4e48\u7591\u95ee\u6216\u8005\u5efa\u8bae\uff0c\u53ef\u4ee5\u5728\u516c\u4f17\u53f7\u4e0b\u591a\u591a\u56de\u590d\u4ea4\u6d41\uff1b\u6587\u4e2d\u82e5\u6709\u4e0d\u6b63\u4e4b\u5904\uff0c\u4e5f\u5e0c\u671b\u56de\u590d\u7559\u8a00\u4ee5\u544a\u77e5\uff01<\/p>\n<p>      \u7248\u672c\u58f0\u660e \u672c\u6587\u8f6c\u8f7d\u4e8e\uff1adev.to 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