{"id":1703,"date":"2026-05-31T01:15:59","date_gmt":"2026-05-30T17:15:59","guid":{"rendered":"http:\/\/wordpress.fangt.online\/?p=1703"},"modified":"2026-05-31T01:15:59","modified_gmt":"2026-05-30T17:15:59","slug":"%e9%80%92%e5%bd%92%e5%87%bd%e6%95%b0%e5%88%9d%e6%ad%a5","status":"publish","type":"post","link":"http:\/\/wordpress.fangt.online\/index.php\/2026\/05\/31\/%e9%80%92%e5%bd%92%e5%87%bd%e6%95%b0%e5%88%9d%e6%ad%a5\/","title":{"rendered":"\u9012\u5f52\u51fd\u6570\u521d\u6b65"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u6982\u5ff5<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9012\u5f52\u51fd\u6570<\/strong>\u662f\u6307\u5728\u51fd\u6570\u4f53\u5185\u76f4\u63a5\u6216\u95f4\u63a5\u8c03\u7528\u81ea\u8eab\u7684\u51fd\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9012\u5f52\u662f\u4e00\u79cd\u5c06\u5927\u95ee\u9898\u5206\u89e3\u4e3a\u76f8\u540c\u7ed3\u6784\u7684\u5c0f\u95ee\u9898\u6765\u6c42\u89e3\u7684\u7f16\u7a0b\u6280\u5de7\uff0c\u5728\u7b97\u6cd5\u8bbe\u8ba1\uff08\u5982\u5206\u6cbb\u3001\u56de\u6eaf\u3001\u52a8\u6001\u89c4\u5212\uff09\u548c\u6570\u636e\u7ed3\u6784\uff08\u6811\u3001\u56fe\uff09\u4e2d\u5e94\u7528\u5e7f\u6cdb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6838\u5fc3\u601d\u60f3<\/strong>\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06\u95ee\u9898\u89c4\u6a21\u9010\u6b65\u7f29\u5c0f\uff0c\u76f4\u5230\u8fbe\u5230\u4e00\u4e2a\u53ef\u4ee5\u76f4\u63a5\u6c42\u89e3\u7684\u201c\u57fa\u51c6\u60c5\u5f62\u201d\uff0c\u7136\u540e\u9010\u5c42\u8fd4\u56de\u7ed3\u679c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u57fa\u672c\u539f\u7406<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4efb\u4f55\u4e00\u4e2a\u6b63\u786e\u7684\u9012\u5f52\u51fd\u6570\u5fc5\u987b\u5305\u542b\u4e24\u4e2a\u5173\u952e\u8981\u7d20\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table has-small-font-size\"><table><thead><tr><th>\u8981\u7d20<\/th><th>\u8bf4\u660e<\/th><\/tr><\/thead><tbody><tr><td><strong>\u57fa\u51c6\u60c5\u5f62\uff08Base Case\uff09<\/strong><\/td><td>\u95ee\u9898\u89c4\u6a21\u8db3\u591f\u5c0f\u65f6\uff0c\u76f4\u63a5\u8fd4\u56de\u7ed3\u679c\uff0c\u4e0d\u518d\u9012\u5f52\u8c03\u7528\u3002\u662f\u9012\u5f52\u7684\u7ec8\u6b62\u6761\u4ef6\u3002<\/td><\/tr><tr><td><strong>\u9012\u5f52\u60c5\u5f62\uff08Recursive Case\uff09<\/strong><\/td><td>\u5c06\u539f\u95ee\u9898\u62c6\u89e3\u4e3a\u89c4\u6a21\u66f4\u5c0f\u7684\u540c\u79cd\u5b50\u95ee\u9898\uff0c\u901a\u8fc7\u8c03\u7528\u81ea\u8eab\u6765\u6c42\u89e3\uff0c\u5e76\u5c06\u5b50\u7ed3\u679c\u7ec4\u5408\u6210\u539f\u95ee\u9898\u7684\u89e3\u3002<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4e00\u822c\u5f62\u5f0f<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8fd4\u56de\u503c\u7c7b\u578b \u51fd\u6570\u540d(\u53c2\u6570\u5217\u8868) {\n    if (\u57fa\u51c6\u6761\u4ef6) {\n        return \u76f4\u63a5\u7ed3\u679c;\n    } else {\n        \/\/ \u5c06\u95ee\u9898\u5206\u89e3\uff0c\u8c03\u7528\u81ea\u8eab\n        return \u51fd\u6570\u540d(\u7f29\u5c0f\u89c4\u6a21\u7684\u53c2\u6570);\n    }\n}<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u793a\u4f8b<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u9636\u4e58\uff08n!\uff09<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>#include &lt;iostream>\nusing namespace std;\n\n\/\/ \u9012\u5f52\u8ba1\u7b97 n! = n * (n-1) * ... * 1\nlong long factorial(int n) {\n    if (n &lt; 0) return -1;          \n    if (n == 0 || n == 1) return 1; \n    return n * factorial(n - 1);    \n}\n\nint main() {\n    cout &lt;&lt; factorial(5) &lt;&lt; endl;  \/\/ \u8f93\u51fa 120\n    return 0;\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u6590\u6ce2\u90a3\u5951\u6570\u5217<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>\/\/ \u6590\u6ce2\u90a3\u5951\u6570\u5217\uff1aF(0)=0, F(1)=1, F(n)=F(n-1)+F(n-2)\nlong long fib(int n) {\n    if (n &lt; 0) return -1;\n    if (n == 0) return 0;          \n    if (n == 1) return 1;           \n    return fib(n - 1) + fib(n - 2); \n}<\/code><\/pre>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u8be5\u5b9e\u73b0\u5b58\u5728\u5927\u91cf\u91cd\u590d\u8ba1\u7b97\uff0c\u6548\u7387\u6781\u4f4e\uff08\u65f6\u95f4\u590d\u6742\u5ea6 O(2\u207f)\uff09\u3002\u5b9e\u9645\u4e2d\u53ef\u4f7f\u7528\u8bb0\u5fc6\u5316\u6216\u8fed\u4ee3\u4f18\u5316\u3002<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">\u9012\u5f52\u7684\u4f18\u7f3a\u70b9<\/h2>\n\n\n\n<figure class=\"wp-block-table has-small-font-size\"><table><thead><tr><th>\u4f18\u70b9<\/th><th>\u7f3a\u70b9<\/th><\/tr><\/thead><tbody><tr><td>\u4ee3\u7801\u7b80\u6d01\u3001\u903b\u8f91\u6e05\u6670\uff0c\u7279\u522b\u9002\u5408\u5206\u6cbb\u3001\u6811\/\u56fe\u904d\u5386\u7b49\u95ee\u9898<\/td><td>\u6548\u7387\u901a\u5e38\u4f4e\u4e8e\u8fed\u4ee3\uff08\u51fd\u6570\u8c03\u7528\u5f00\u9500\u5927\uff09<\/td><\/tr><tr><td>\u6613\u4e8e\u7406\u89e3\u95ee\u9898\u7684\u5206\u89e3\u7ed3\u6784<\/td><td>\u5bb9\u6613\u5bfc\u81f4<strong>\u6808\u6ea2\u51fa<\/strong>\uff08\u9012\u5f52\u6df1\u5ea6\u8fc7\u5927\u65f6\uff09<\/td><\/tr><tr><td>\u67d0\u4e9b\u95ee\u9898\u5929\u7136\u9002\u5408\u9012\u5f52\uff08\u5982\u6c49\u8bfa\u5854\u3001\u5feb\u901f\u6392\u5e8f\uff09<\/td><td>\u5b58\u5728\u91cd\u590d\u8ba1\u7b97\u53ef\u80fd\uff08\u5982\u6734\u7d20\u6590\u6ce2\u90a3\u5951\uff09<\/td><\/tr><tr><td>\u4f7f\u4ee3\u7801\u4e0e\u6570\u5b66\u5f52\u7eb3\u601d\u60f3\u4e00\u81f4<\/td><td>\u5360\u7528\u66f4\u591a\u5185\u5b58\uff08\u6bcf\u5c42\u6808\u5e27\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u5e38\u89c1\u95ee\u9898\u4e0e\u6ce8\u610f\u4e8b\u9879<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u7f3a\u5c11\u57fa\u51c6\u60c5\u5f62 \u2192 \u65e0\u9650\u9012\u5f52<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>int bad_factorial(int n) {\n    return n * bad_factorial(n - 1);  \/\/ \u6700\u7ec8\u6808\u6ea2\u51fa\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u9012\u5f52\u6df1\u5ea6\u8fc7\u5927 \u2192 \u6808\u6ea2\u51fa<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u9ed8\u8ba4\u6808\u7a7a\u95f4\u901a\u5e38\u4e3a 1~8 MB\uff0c\u6bcf\u5c42\u6808\u5e27\u51e0\u5341\u5b57\u8282\u5230\u51e0\u767e\u5b57\u8282\u3002\u6df1\u5ea6\u8d85\u8fc7 ~10\u2075 \u53ef\u80fd\u6ea2\u51fa\u3002\u89e3\u51b3\u65b9\u6cd5\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6539\u7528\u8fed\u4ee3<\/li>\n\n\n\n<li>\u589e\u5927\u6808\u7a7a\u95f4\uff08\u7f16\u8bd1\u5668\u9009\u9879\u6216 <code>sys\/resource.h<\/code>\uff09<\/li>\n\n\n\n<li>\u5c3e\u9012\u5f52\uff08\u5982\u9002\u7528\uff09<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u91cd\u590d\u8ba1\u7b97 \u2192 \u6548\u7387\u7206\u70b8<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6590\u6ce2\u90a3\u5951\u6734\u7d20\u9012\u5f52\u590d\u6742\u5ea6 O(2\u207f)\uff0c\u5e94\u4f7f\u7528<strong>\u8bb0\u5fc6\u5316\u641c\u7d22<\/strong>\uff08\u9012\u5f52+\u7f13\u5b58\uff09\u6216\u52a8\u6001\u89c4\u5212\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u9012\u5f52\u4e0e\u8fed\u4ee3\u5bf9\u6bd4<\/h2>\n\n\n\n<figure class=\"wp-block-table has-small-font-size\"><table><thead><tr><th>\u65b9\u9762<\/th><th>\u9012\u5f52<\/th><th>\u8fed\u4ee3<\/th><\/tr><\/thead><tbody><tr><td>\u4ee3\u7801\u957f\u5ea6<\/td><td>\u901a\u5e38\u66f4\u77ed<\/td><td>\u53ef\u80fd\u8f83\u957f<\/td><\/tr><tr><td>\u53ef\u8bfb\u6027\uff08\u9002\u5408\u7684\u573a\u666f\uff09<\/td><td>\u9ad8\uff08\u5206\u6cbb\u3001\u6811\uff09<\/td><td>\u4e2d<\/td><\/tr><tr><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u53d6\u51b3\u4e8e\u7b97\u6cd5\uff0c\u6709\u91cd\u590d\u8ba1\u7b97\u65f6\u5dee<\/td><td>\u901a\u5e38\u66f4\u4f18<\/td><\/tr><tr><td>\u7a7a\u95f4\u590d\u6742\u5ea6<\/td><td>O(\u6df1\u5ea6) \u6808\u7a7a\u95f4<\/td><td>O(1) \u6216 O(\u8f85\u52a9\u7a7a\u95f4)<\/td><\/tr><tr><td>\u98ce\u9669<\/td><td>\u6808\u6ea2\u51fa<\/td><td>\u65e0\u6808\u6ea2\u51fa\u98ce\u9669<\/td><\/tr><tr><td>\u9002\u7528\u573a\u666f<\/td><td>\u95ee\u9898\u5929\u7136\u5177\u6709\u9012\u5f52\u7ed3\u6784\uff08\u6811\u3001\u9012\u5f52\u5b9a\u4e49\u7684\u6570\u636e\u7ed3\u6784\uff09<\/td><td>\u7ebf\u6027\u3001\u7b80\u5355\u5faa\u73af\u5373\u53ef\u8868\u8fbe\u7684\u95ee\u9898<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u9012\u5f52\u662f\u4e00\u79cd\u5f3a\u5927\u7684\u601d\u7ef4\u5de5\u5177\uff0c\u800c\u4e0d\u53ea\u662f\u7f16\u7801\u6280\u5de7\u3002\u7406\u89e3\u9012\u5f52\u80fd\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u638c\u63e1\u5206\u6cbb\u3001\u641c\u7d22\u3001\u52a8\u6001\u89c4\u5212\u7b49\u9ad8\u7ea7\u7b97\u6cd5\u601d\u60f3\u3002<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u6982\u5ff5 \u9012\u5f52\u51fd\u6570\u662f\u6307\u5728\u51fd\u6570\u4f53\u5185\u76f4\u63a5\u6216\u95f4\u63a5\u8c03\u7528\u81ea\u8eab\u7684\u51fd\u6570\u3002 \u9012\u5f52\u662f\u4e00\u79cd\u5c06\u5927\u95ee\u9898\u5206\u89e3\u4e3a\u76f8\u540c\u7ed3\u6784\u7684\u5c0f\u95ee\u9898\u6765\u6c42\u89e3\u7684\u7f16\u7a0b\u6280 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[61],"tags":[],"class_list":["post-1703","post","type-post","status-publish","format-standard","hentry","category-zl"],"_links":{"self":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts\/1703","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/comments?post=1703"}],"version-history":[{"count":1,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts\/1703\/revisions"}],"predecessor-version":[{"id":1704,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts\/1703\/revisions\/1704"}],"wp:attachment":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/media?parent=1703"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/categories?post=1703"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/tags?post=1703"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}