{"id":19,"date":"2026-01-02T17:16:14","date_gmt":"2026-01-02T09:16:14","guid":{"rendered":"https:\/\/www.tom-thu.cn:18434\/?p=19"},"modified":"2026-01-02T23:25:59","modified_gmt":"2026-01-02T15:25:59","slug":"%e7%a8%8b%e5%ba%8f%e8%b0%83%e8%af%95%e7%bb%8f%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/www.tom-thu.cn\/?p=19","title":{"rendered":"\u7a0b\u5e8f\u8c03\u8bd5\u7ecf\u9a8c"},"content":{"rendered":"


\n
\n
\npublish.md<\/title><br \/>\n<meta http-equiv=\"Content-type\" content=\"text\/html;charset=UTF-8\"><\/p>\n<style>\n\/* https:\/\/github.com\/microsoft\/vscode\/blob\/master\/extensions\/markdown-language-features\/media\/markdown.css *\/\n\/*---------------------------------------------------------------------------------------------\n * Copyright (c) Microsoft Corporation. All rights reserved.\n * Licensed under the MIT License. See License.txt in the project root for license information.\n *--------------------------------------------------------------------------------------------*\/<\/p>\n<p>body {\n\tfont-family: var(--vscode-markdown-font-family, -apple-system, BlinkMacSystemFont, \"Segoe WPC\", \"Segoe UI\", \"Ubuntu\", \"Droid Sans\", sans-serif);\n\tfont-size: var(--vscode-markdown-font-size, 14px);\n\tpadding: 0 26px;\n\tline-height: var(--vscode-markdown-line-height, 22px);\n\tword-wrap: break-word;\n}<\/p>\n<p>#code-csp-warning {\n\tposition: fixed;\n\ttop: 0;\n\tright: 0;\n\tcolor: white;\n\tmargin: 16px;\n\ttext-align: center;\n\tfont-size: 12px;\n\tfont-family: sans-serif;\n\tbackground-color:#444444;\n\tcursor: pointer;\n\tpadding: 6px;\n\tbox-shadow: 1px 1px 1px rgba(0,0,0,.25);\n}<\/p>\n<p>#code-csp-warning:hover {\n\ttext-decoration: none;\n\tbackground-color:#007acc;\n\tbox-shadow: 2px 2px 2px rgba(0,0,0,.25);\n}<\/p>\n<p>body.scrollBeyondLastLine {\n\tmargin-bottom: calc(100vh - 22px);\n}<\/p>\n<p>body.showEditorSelection .code-line {\n\tposition: relative;\n}<\/p>\n<p>body.showEditorSelection .code-active-line:before,\nbody.showEditorSelection .code-line:hover:before {\n\tcontent: \"\";\n\tdisplay: block;\n\tposition: absolute;\n\ttop: 0;\n\tleft: -12px;\n\theight: 100%;\n}<\/p>\n<p>body.showEditorSelection li.code-active-line:before,\nbody.showEditorSelection li.code-line:hover:before {\n\tleft: -30px;\n}<\/p>\n<p>.vscode-light.showEditorSelection .code-active-line:before {\n\tborder-left: 3px solid rgba(0, 0, 0, 0.15);\n}<\/p>\n<p>.vscode-light.showEditorSelection .code-line:hover:before {\n\tborder-left: 3px solid rgba(0, 0, 0, 0.40);\n}<\/p>\n<p>.vscode-light.showEditorSelection .code-line .code-line:hover:before {\n\tborder-left: none;\n}<\/p>\n<p>.vscode-dark.showEditorSelection .code-active-line:before {\n\tborder-left: 3px solid rgba(255, 255, 255, 0.4);\n}<\/p>\n<p>.vscode-dark.showEditorSelection .code-line:hover:before {\n\tborder-left: 3px solid rgba(255, 255, 255, 0.60);\n}<\/p>\n<p>.vscode-dark.showEditorSelection .code-line .code-line:hover:before {\n\tborder-left: none;\n}<\/p>\n<p>.vscode-high-contrast.showEditorSelection .code-active-line:before {\n\tborder-left: 3px solid rgba(255, 160, 0, 0.7);\n}<\/p>\n<p>.vscode-high-contrast.showEditorSelection .code-line:hover:before {\n\tborder-left: 3px solid rgba(255, 160, 0, 1);\n}<\/p>\n<p>.vscode-high-contrast.showEditorSelection .code-line .code-line:hover:before {\n\tborder-left: none;\n}<\/p>\n<p>img {\n\tmax-width: 100%;\n\tmax-height: 100%;\n}<\/p>\n<p>a {\n\ttext-decoration: none;\n}<\/p>\n<p>a:hover {\n\ttext-decoration: underline;\n}<\/p>\n<p>a:focus,\ninput:focus,\nselect:focus,\ntextarea:focus {\n\toutline: 1px solid -webkit-focus-ring-color;\n\toutline-offset: -1px;\n}<\/p>\n<p>hr {\n\tborder: 0;\n\theight: 2px;\n\tborder-bottom: 2px solid;\n}<\/p>\n<p>h1 {\n\tpadding-bottom: 0.3em;\n\tline-height: 1.2;\n\tborder-bottom-width: 1px;\n\tborder-bottom-style: solid;\n}<\/p>\n<p>h1, h2, h3 {\n\tfont-weight: normal;\n}<\/p>\n<p>table {\n\tborder-collapse: collapse;\n}<\/p>\n<p>table > thead > tr > th {\n\ttext-align: left;\n\tborder-bottom: 1px solid;\n}<\/p>\n<p>table > thead > tr > th,\ntable > thead > tr > td,\ntable > tbody > tr > th,\ntable > tbody > tr > td {\n\tpadding: 5px 10px;\n}<\/p>\n<p>table > tbody > tr + tr > td {\n\tborder-top: 1px solid;\n}<\/p>\n<p>blockquote {\n\tmargin: 0 7px 0 5px;\n\tpadding: 0 16px 0 10px;\n\tborder-left-width: 5px;\n\tborder-left-style: solid;\n}<\/p>\n<p>code {\n\tfont-family: Menlo, Monaco, Consolas, \"Droid Sans Mono\", \"Courier New\", monospace, \"Droid Sans Fallback\";\n\tfont-size: 1em;\n\tline-height: 1.357em;\n}<\/p>\n<p>body.wordWrap pre {\n\twhite-space: pre-wrap;\n}<\/p>\n<p>pre:not(.hljs),\npre.hljs code > div {\n\tpadding: 16px;\n\tborder-radius: 3px;\n\toverflow: auto;\n}<\/p>\n<p>pre code {\n\tcolor: var(--vscode-editor-foreground);\n\ttab-size: 4;\n}<\/p>\n<p>\/** Theming *\/<\/p>\n<p>.vscode-light pre {\n\tbackground-color: rgba(220, 220, 220, 0.4);\n}<\/p>\n<p>.vscode-dark pre {\n\tbackground-color: rgba(10, 10, 10, 0.4);\n}<\/p>\n<p>.vscode-high-contrast pre {\n\tbackground-color: rgb(0, 0, 0);\n}<\/p>\n<p>.vscode-high-contrast h1 {\n\tborder-color: rgb(0, 0, 0);\n}<\/p>\n<p>.vscode-light table > thead > tr > th {\n\tborder-color: rgba(0, 0, 0, 0.69);\n}<\/p>\n<p>.vscode-dark table > thead > tr > th {\n\tborder-color: rgba(255, 255, 255, 0.69);\n}<\/p>\n<p>.vscode-light h1,\n.vscode-light hr,\n.vscode-light table > tbody > tr + tr > td {\n\tborder-color: rgba(0, 0, 0, 0.18);\n}<\/p>\n<p>.vscode-dark h1,\n.vscode-dark hr,\n.vscode-dark table > tbody > tr + tr > td {\n\tborder-color: rgba(255, 255, 255, 0.18);\n}<\/p>\n<\/style>\n<style>\n\/* Tomorrow Theme *\/\n\/* http:\/\/jmblog.github.com\/color-themes-for-google-code-highlightjs *\/\n\/* Original theme - https:\/\/github.com\/chriskempson\/tomorrow-theme *\/<\/p>\n<p>\/* Tomorrow Comment *\/\n.hljs-comment,\n.hljs-quote {\n\tcolor: #8e908c;\n}<\/p>\n<p>\/* Tomorrow Red *\/\n.hljs-variable,\n.hljs-template-variable,\n.hljs-tag,\n.hljs-name,\n.hljs-selector-id,\n.hljs-selector-class,\n.hljs-regexp,\n.hljs-deletion {\n\tcolor: #c82829;\n}<\/p>\n<p>\/* Tomorrow Orange *\/\n.hljs-number,\n.hljs-built_in,\n.hljs-builtin-name,\n.hljs-literal,\n.hljs-type,\n.hljs-params,\n.hljs-meta,\n.hljs-link {\n\tcolor: #f5871f;\n}<\/p>\n<p>\/* Tomorrow Yellow *\/\n.hljs-attribute {\n\tcolor: #eab700;\n}<\/p>\n<p>\/* Tomorrow Green *\/\n.hljs-string,\n.hljs-symbol,\n.hljs-bullet,\n.hljs-addition {\n\tcolor: #718c00;\n}<\/p>\n<p>\/* Tomorrow Blue *\/\n.hljs-title,\n.hljs-section {\n\tcolor: #4271ae;\n}<\/p>\n<p>\/* Tomorrow Purple *\/\n.hljs-keyword,\n.hljs-selector-tag {\n\tcolor: #8959a8;\n}<\/p>\n<p>.hljs {\n\tdisplay: block;\n\toverflow-x: auto;\n\tcolor: #4d4d4c;\n\tpadding: 0.5em;\n}<\/p>\n<p>.hljs-emphasis {\n\tfont-style: italic;\n}<\/p>\n<p>.hljs-strong {\n\tfont-weight: bold;\n}\n<\/style>\n<style>\n\/*\n * Markdown PDF CSS\n *\/<\/p>\n<p> body {\n\tfont-family: -apple-system, BlinkMacSystemFont, \"Segoe WPC\", \"Segoe UI\", \"Ubuntu\", \"Droid Sans\", sans-serif, \"Meiryo\";\n\tpadding: 0 12px;\n}<\/p>\n<p>pre {\n\tbackground-color: #f8f8f8;\n\tborder: 1px solid #cccccc;\n\tborder-radius: 3px;\n\toverflow-x: auto;\n\twhite-space: pre-wrap;\n\toverflow-wrap: break-word;\n}<\/p>\n<p>pre:not(.hljs) {\n\tpadding: 23px;\n\tline-height: 19px;\n}<\/p>\n<p>blockquote {\n\tbackground: rgba(127, 127, 127, 0.1);\n\tborder-color: rgba(0, 122, 204, 0.5);\n}<\/p>\n<p>.emoji {\n\theight: 1.4em;\n}<\/p>\n<p>code {\n\tfont-size: 14px;\n\tline-height: 19px;\n}<\/p>\n<p>\/* for inline code *\/\n:not(pre):not(.hljs) > code {\n\tcolor: #C9AE75; \/* Change the old color so it seems less like an error *\/\n\tfont-size: inherit;\n}<\/p>\n<p>\/* Page Break : use <\/p>\n<div class=\"page\"\/> to insert page break\n-------------------------------------------------------- *\/\n.page {\n\tpage-break-after: always;\n}<\/p>\n<\/style>\n<p><script src=\"https:\/\/unpkg.com\/mermaid\/dist\/mermaid.min.js\"><\/script><br \/>\n<\/head><br \/>\n<body><br \/>\n <script>\n mermaid.initialize({\n startOnLoad: true,\n theme: document.body.classList.contains('vscode-dark') || document.body.classList.contains('vscode-high-contrast')\n ? 'dark'\n : 'default'\n });\n <\/script><\/p>\n<h1 id=\"%E7%A8%8B%E5%BA%8F%E8%B0%83%E8%AF%95%E7%BB%8F%E9%AA%8C\">\u7a0b\u5e8f\u8c03\u8bd5\u7ecf\u9a8c<\/h1>\n<blockquote>\n<p>\u6587\u4e2d\u89c2\u70b9\u4ec5\u4f9b\u53c2\u8003\uff01<\/p>\n<\/blockquote>\n<hr>\n<h2 id=\"%E9%98%85%E8%AF%BB%E6%8C%87%E5%8D%97%E6%91%98%E8%A6%81\">\u9605\u8bfb\u6307\u5357&\u6458\u8981<\/h2>\n<p>\u672c\u6587\u662f\u6211\u4ece\u8c03\u8bd5\u5b9e\u8df5\u4e2d\u6c89\u6dc0\u51fa\u7684\u4e00\u5957\u65b9\u6cd5,\u5305\u542b\u4e86\u8bbe\u8ba1\u3001\u8c03\u8bd5\u4fe1\u606f\u6253\u5370\u3001\u770b\u61c2OJ\u62a5\u9519\u4fe1\u606f\u7b49\u4e00\u7cfb\u5217\u7ecf\u9a8c\uff0c\u5e76\u9644\u6709\u53ef\u201c\u5373\u63d2\u5373\u7528\u201d\u7684\u81ea\u5236\u8c03\u8bd5\u5de5\u5177\u4ee3\u7801\u3002<\/p>\n<p>\u672c\u6587\u8f83\u957f\uff0c\u6b22\u8fce\u5404\u4f4d\u8bfb\u8005\u6839\u636e\u81ea\u5df1\u7684\u9700\u6c42\u505a\u51fa\u9009\u62e9\uff1a<\/p>\n<ul>\n<li>\u601d\u8def\u9519\u8bef\uff1f\u8bf7\u91cd\u70b9\u9605\u8bfb\u7b2c\u4e00\u7ae0\uff0c\u5b66\u4e60\u5982\u4f55\u907f\u514d\u65b9\u5411\u6027\u9519\u8bef\u3002<\/li>\n<li>\u770b\u4e0d\u61c2OJ\u62a5\u9519\uff1f\u8bf7\u901f\u67e5\u7b2c\u4e8c\u7ae0\u7684\u8868\u683c\uff0c\u5feb\u901f\u5b9a\u4f4d\u95ee\u9898\u7c7b\u578b\u3002<\/li>\n<li>\u60f3\u63d0\u5347\u8f93\u51fa\u8c03\u8bd5\u4fe1\u606f\u7684\u6548\u7387\uff1f\u8bf7\u53c2\u9605\u7b2c\u4e09\u7ae0\uff0c\u8fd9\u91cc\u6709\u4e07\u80fdprint()\u548c\u9012\u5f52\u8c03\u8bd5\u6280\u5de7\u3002<\/li>\n<li>\u9677\u5165\u590d\u6742\u903b\u8f91\uff1f\u76ef\u7740\u8f93\u51fa\u53d1\u5446\uff1f\u76f8\u4fe1\u7b2c\u56db\u7ae0\u7684\u7eb8\u4e0a\u63a8\u6f14\u6cd5\u80fd\u5e2e\u4f60\u7834\u5c40\u3002<\/li>\n<li>\u60f3\u5feb\u901f\u5b9a\u4f4d\u5927\u6bb5\u4ee3\u7801\u4e2d\u7684\u9519\u8bef\u533a\u95f4\uff1f\u7b2c\u4e94\u7ae0\u7684\u201c\u4e3b\u52a8\u5236\u9020\u9519\u8bef\u201d\u6cd5\uff08\u63a2\u9488\u6cd5\uff09\u6216\u8bb8\u53ef\u4ee5\u63d0\u4f9b\u4e00\u4e9b\u601d\u8def\u3002<\/li>\n<\/ul>\n<p><strong>\u8f6c\u8f7d\u8bf7\u6ce8\u660e\u51fa\u5904<\/strong><\/p>\n<hr>\n<h2 id=\"%E7%AC%AC%E4%B8%80%E7%AB%A0-%E8%AE%BE%E8%AE%A1%E5%85%88%E8%A1%8C%E8%90%BD%E7%AC%94%E6%9C%89%E7%A5%9E\">\u7b2c\u4e00\u7ae0 \u8bbe\u8ba1\u5148\u884c\uff0c\u843d\u201c\u7b14\u201d\u6709\u795e<\/h2>\n<blockquote>\n<p><strong>\u5148\u7ed8\u5236\u84dd\u56fe\uff0c\u518d\u7b80\u6d01\u5730\u7f16\u5199\u4ee3\u7801\uff0c\u540c\u65f6\u52a0\u5165\u6ce8\u91ca\u8f85\u52a9\u7406\u89e3<\/strong><\/p>\n<\/blockquote>\n<ol>\n<li>\u8bbe\u8ba1\u601d\u8def\uff1a<\/li>\n<\/ol>\n<ul>\n<li>\n<p>\u597d\u7684\u8bbe\u8ba1\u662f\u6210\u529f\u7684\u5f00\u59cb\uff0c\u4f7f\u7528\u6b63\u786e\u7684\u601d\u8def\u624d\u80fd\u5199\u51fa\u4f18\u79c0\u7684\u4ee3\u7801\u3002<\/p>\n<\/li>\n<li>\n<p>\u5bf9\u4e8e\u7b97\u6cd5\u9898\uff0c\u7279\u522b\u662f\u52a8\u6001\u89c4\u5212\u7684\u7b97\u6cd5\u9898\uff0c\u4e00\u5b9a\u8981\u5148\u60f3\u597d\u601d\u8def\uff0c\u5199\u51fa\u72b6\u6001\u79fb\u65b9\u7a0b<\/p>\n<\/li>\n<li>\n<p>\u5426\u5219\uff0c\u82b1\u65f6\u95f4\u5199\u5b8c\u4ee3\u7801\u53d1\u73b0\u4e00\u573a\u7a7a\uff0c\u6d6a\u8d39\u4e86\u65f6\u95f4\uff0c\u8fd8\u6ca1\u89e3\u51b3\u95ee\u9898\u3002<\/p>\n<\/li>\n<li>\n<p>\u4e00\u5b9a\u8981\u4ed4\u7ec6\u9605\u8bfb\u9898\u76ee\uff01\uff01\uff01\u5f88\u591a\u65f6\u5019\u51fa\u73b0\u9519\u8bef\uff0c\u662f\u56e0\u4e3a\u6211\u4eec\u6ca1\u6709\u6b63\u786e\u7406\u9898\u76ee\u7684\u610f\u601d\u3002<\/p>\n<\/li>\n<li>\n<p>\u4f8b\u9898\uff1a2250. \u54fc\u54fc\u54c8\u516e<\/p>\n<ul>\n<li>\u8fd9\u9053\u9898\u6211\u6700\u5f00\u59cb\u6ca1\u6709\u60f3\u597d\u601d\u8def\uff0c\u5ffd\u7565\u4e86\u201c\u5408\u6210\u987a\u5e8f\u4e5f\u4f1a\u5f71\u54cd\u6700\u7ec8\u7ed3\u679c\u201d\u8fd9\u4e2a\u63d0\u793a\uff0c\u6ca1\u6709\u8003\u8651\u5230\u4e24\u6839\u5355\u68d2\u53ef\u4ee5\u5408\u6210\u4e00\u6839\u5355\u68d2\uff0c\u800c\u8fd9\u6839\u68d2\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u6839\u5355\u72ec\u7684\u5355\u68d2\u53c2\u4e0e\u540e\u7eed\u5408\u6210\uff0c\u8fdb\u800c\u8bef\u4ee5\u4e3a\u662f\u80cc\u5305DP\uff0c\u82b1\u4e86\u51e0\u5341\u5206\u949f\u5199\u4ee3\u7801\u5f97\u4e860\u5206\u3002<\/li>\n<li>\u540e\u6765\uff0c\u6211\u91cd\u65b0\u4ed4\u7ec6\u9605\u8bfb\u9898\u76ee\uff0c\u81ea\u5df1\u6309\u7167\u6837\u4f8b\u63a8\u5bfc\u4e86\u4e00\u4e0b\uff0c\u7ec8\u4e8e\u53d1\u73b0\u4e86\u6211\u6700\u5f00\u59cb\u60f3\u6cd5\u7684\u9519\u8bef\u4e4b\u5904\uff0c\u53d1\u73b0\u662f\u533a\u95f4DP\uff0c\u91cd\u6784\u4ee3\u7801\u540e\u4e00\u4e0b\u5c31100\u5206\u4e86\u3002<\/li>\n<li>\u8fd9\u4e2a\u6545\u4e8b\u544a\u8bc9\u6211\u4eec\uff1a\u7406\u89e3\u9898\u610f\u5f88\u91cd\u8981\uff0c\u5ba1\u9898\u7684\u65f6\u5019\u5343\u4e07\u4e0d\u80fd\u6025\u8e81\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u4f8b\u9898\uff1a2609. \u68ee\u6797\u51b0\u706b\u4eba<\/p>\n<ul>\n<li>\u8fd9\u662f\u4e00\u9053\u542b\u6709\u95e8\u548c\u94a5\u5319\u7684\u53cc\u4eba\u8d70\u8ff7\u5bab\u7684\u95ee\u9898\u3002\u6211\u6700\u5f00\u59cb\u60f3\u4f7f\u7528DFS\uff0c \u4f7f\u7528\u591a\u6b65\u51b3\u7b56\u7684\u601d\u8def\u6765\u89e3\u51b3\u95ee\u9898\u3002\u540e\u6765\uff0c\u6211\u4ece\u4e0b\u5348\u4e00\u70b9\u5199\u4ee3\u7801\uff0c\u5199\u5230\u4e0b\u5348\u516d\u70b9\u624d\u52c9\u5f3a\u5199\u51fa\u4e00\u4e2a\u89e3\u51b3\u53cc\u4eba\u8d70\u4e0d\u542b\u95e8\u7684\u8ff7\u5bab\u7684\u4ee3\u7801\uff08\u4e2d\u95f4\u505a\u4e86\u5f88\u591a\u8c03\u8bd5\uff0c\u5177\u4f53\u4f1a\u57284\u4ecb\u7ecd\uff09\u3002<\/li>\n<li>\u540e\u6765\uff0c\u6211\u8feb\u4e0d\u5f97\u5df2\u8be2\u95eeAI\uff0c\u4ed6\u548c\u6211\u8bf4\u53ef\u4ee5\u7528BFS\u3002\u6211\u81ea\u5df1\u5728B\u7ad9\u641c\u7d22\u89c6\u9891\u5b66\u4e60\u4e86\u8fd9\u4e2a\u7b97\u6cd5\uff0c\u53d1\u73b0\u8fd9\u4e2a\u7b97\u6cd5\u5bf9\u4e8e\u89e3\u51b3\u5bfb\u8def\u95ee\u9898\u5f88\u6709\u7528\u3002\u51fa\u4e8e\u79cd\u79cd\u539f\u56e0\uff0c\u7b14\u8005\u5199\u8fd9\u4e2a\u603b\u7ed3\u7684\u65f6\u5019\u8fd8\u6ca1\u6709\u5c1d\u8bd5BFS\uff0c\u4e0d\u8fc7\u6211\u76f8\u4fe1\u4f7f\u7528BFS\u5c06\u4f1a\u5f88\u5feb\u89e3\u51b3\u95ee\u9898\u3002<\/li>\n<li>\u8fd9\u4e2a\u6545\u4e8b\u544a\u8bc9\u6211\u4eec\uff1a\u5f88\u591a\u65f6\u5019\u6211\u4eec\u8c03\u8bd5\u4e86\u5f88\u4e45\u90fd\u6ca1\u53d1\u73b0\u95ee\u9898\uff0c\u4e5f\u8bb8\u662f\u56e0\u4e3a\u6211\u4eec\u6700\u5f00\u59cb\u5c31\u9009\u62e9\u4e86\u4e00\u6761\u9519\u8bef\u800c\u590d\u6742\u7684\u9053\u8def\u3002\u8fd9\u5145\u5206\u8bf4\u660e\u4e86\u9876\u5c42\u8bbe\u8ba1\u7684\u91cd\u8981\u6027\u3002\u5f53\u4e00\u4e2a\u4ee3\u7801\u5b9e\u5728\u5f88\u96be\u8c03\u901a\u7684\u65f6\u5019\uff0c\u5f3a\u70c8\u5efa\u8bae\u91cd\u6784\u5199\u4ee3\u7801\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ol start=\"2\">\n<li>\n<p>\u4ee3\u7801\u7f16\u5199\uff1a<\/p>\n<ul>\n<li>\n<p>\u7f16\u5199\u4ee3\u7801\u5efa\u8bae\u9075\u5faa\u56fa\u5b9a\u7684\u8303\u5f0f\uff0c\u628a\u4e00\u4e2a\u5b8c\u6574\u7684\u7a0b\u5e8f\u62c6\u6210\u4e86\u51e0\u5757\uff0c\u66f4\u65b9\u4fbf\u5b9a\u4f4d\u67e5\u51fa\u95ee\u9898\u7684\u6a21\u5757\uff0c\u7a0b\u5e8f\u6846\u67b6\u4e5f\u4f1a\u5f88\u6e05\u6670\u3002<\/p>\n<\/li>\n<li>\n<p>\u5199\u7a0b\u5e8f\u5c31\u50cf\u201c\u62fc\u79ef\u6728\u201d\uff0c\u8981\u6709\u51fd\u6570\u601d\u60f3\uff0c\u5bf9\u4e8e\u91cd\u590d\u4f7f\u7528\u7684\u4ee3\u7801\u4f7f\u7528\u51fd\u6570\u5c01\u88c5\u8d77\u6765\u3002\u5b83\u6709\u4e0b\u9762\u4e09\u4e2a\u597d\u5904\uff1a<\/p>\n<ul>\n<li>\u65b9\u4fbf\u6211\u4eec\u5efa\u7acb\u6e05\u6670\u7684\u903b\u8f91\u6846\u67b6\uff0c\u53d1\u73b0\u7a0b\u5e8f\u95ee\u9898<\/li>\n<li>\u51cf\u5c11\u4ee3\u7801\u91cf\uff0c\u63d0\u9ad8\u5f00\u53d1\u901f\u5ea6<\/li>\n<li>\u65b9\u4fbf\u6211\u4eec\u5efa\u7acb\u81ea\u5df1\u7684\u4ee3\u7801\u5e93\uff0c\u5199\u597d\u4e00\u4e2a\u51fd\u6570\uff0c\u4e4b\u540e\u6d89\u53ca\u76f8\u5173\u601d\u8def\u7684\u9898\u90fd\u53ef\u4ee5\u76f4\u63a5copy and paste\u5df2\u7ecf\u5199\u597d\u7684\u4ee3\u7801\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u53d8\u91cf\u540d\u7684\u547d\u540d\u4e00\u5b9a\u8981\u6709\u5176\u5b9e\u9645\u542b\u4e49\uff0c\u4e0d\u5efa\u8bae\u7528\u4e2d\u6587\u62fc\u97f3\u5bf9\u53d8\u91cf\u547d\u540d\u3002\u4f7f\u7528\u201c\u86c7\u5f62\u547d\u540d\u6cd5\u201d\uff08\u5982 <code>previous_sum<\/code>\uff09\u6216\u8005\u201c\u9a7c\u5cf0\u547d\u540d\u6cd5\u201d\uff08\u5982 <code>PreviousSum<\/code>\uff09\u3002<\/p>\n<ul>\n<li>\u6211\u5e38\u7528\u7684\u4ee3\u7801\u6846\u67b6\uff1a<\/li>\n<\/ul>\n<pre class=\"hljs\"><code><div> <span class=\"hljs-meta\">#<span class=\"hljs-meta-keyword\">include<\/span> <span class=\"hljs-meta-string\"><iostream><\/span><\/span>\n <span class=\"hljs-meta\">#<span class=\"hljs-meta-keyword\">include<\/span> <span class=\"hljs-meta-string\"><vector><\/span><\/span>\n\n <span class=\"hljs-keyword\">using<\/span> <span class=\"hljs-keyword\">namespace<\/span> <span class=\"hljs-built_in\">std<\/span>;\n\n <span class=\"hljs-comment\">\/\/\u8fd9\u4e24\u4e2a\u53d8\u91cf\u5728\u672c\u6587\u7684 3 \u4f1a\u4ecb\u7ecd<\/span>\n <span class=\"hljs-keyword\">bool<\/span> DEBUG=<span class=\"hljs-number\">1<\/span>;\n <span class=\"hljs-keyword\">bool<\/span> GENERATE=<span class=\"hljs-number\">0<\/span>;\n\n <span class=\"hljs-comment\">\/\/\u5168\u5c40\u53d8\u91cf<\/span>\n <span class=\"hljs-keyword\">int<\/span> N=xxx;\n <span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-keyword\">int<\/span>> XXX;\n\n <span class=\"hljs-comment\">\/\/ \u4ee5\u4e0b\u4e3a\u8c03\u8bd5\u4e13\u7528\u51fd\u6570\uff0c\u5177\u4f53\u4f1a\u5728 3 \u4ecb\u7ecd<\/span>\n <span class=\"hljs-comment\">\/\/ \u9012\u5f52\u7ec8\u6b62\u51fd\u6570<\/span>\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">print_impl<\/span><span class=\"hljs-params\">()<\/span> <\/span>{ <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-built_in\">endl<\/span>; }\n <<span class=\"hljs-keyword\">template<\/span>>...\n\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">execute<\/span><span class=\"hljs-params\">()<\/span><\/span>{...}\n\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">input<\/span><span class=\"hljs-params\">()<\/span><\/span>{...}\n\n <span class=\"hljs-comment\">\/\/\u5728\u5199\u548c\u8bfb\u53d6\u6587\u4ef6\u76f8\u5173\u7684\u9898\u7684\u65f6\u5019\u5f88\u6709\u7528<\/span>\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">output<\/span><span class=\"hljs-params\">()<\/span><\/span>{...}\n\n <span class=\"hljs-comment\">\/\/\u7528\u4e8e\u683c\u5f0f\u5316\u8c03\u8bd5\u6570\u636e\uff0c\u5177\u4f53\u4f1a\u5728 3 \u4ecb\u7ecd<\/span>\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">generate<\/span><span class=\"hljs-params\">()<\/span><\/span>{...}\n\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">debugger<\/span><span class=\"hljs-params\">()<\/span><\/span>{...}\n\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">int<\/span> <span class=\"hljs-title\">main<\/span><span class=\"hljs-params\">()<\/span><\/span>{\n <span class=\"hljs-keyword\">if<\/span>(DEBUG) debugger();\n <span class=\"hljs-keyword\">else<\/span> input();\n <span class=\"hljs-keyword\">if<\/span>(GENERATE) generate();\n execute();\n output();\n <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">0<\/span>;\n }\n<\/div><\/code><\/pre>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u6570\u636e\u7ed3\u6784<\/p>\n<ul>\n<li>\u4e0d\u8981\u4f7f\u7528\u4e0d\u719f\u6089\u7684\u65b9\u6cd5\uff0c\u4e5f\u4e0d\u8981\u4f7f\u7528\u590d\u6742\u7684\u6570\u636e\u7ed3\u6784\u3002\u7528\u81ea\u5df1\u719f\u6089\u7684\u6570\u636e\u7ed3\u6784\u53ef\u4ee5\u8fc5\u901f\u642d\u5efa\u4ee3\u7801\uff0c\u4e5f\u4e0d\u5bb9\u6613\u51fa\u9519\u3002<\/li>\n<li>\u5efa\u8bae\u591a\u7528 <code>vector<\/code>\u548c <code>string<\/code>\uff0c\u8fd9\u4e9b\u6570\u636e\u7ed3\u6784\u6709\u5b8c\u5584\u7684\u5e93\u51fd\u6570\u652f\u6301<\/li>\n<li>\u4e0d\u5efa\u8bae\u7528\u94fe\u8868\u6216\u8005\u539f\u751f\u6570\u7ec4\uff0c\u56e0\u4e3a\u8fd9\u4e9b\u6570\u636e\u7ed3\u6784\u9700\u8981\u624b\u52a8\u7ba1\u7406\u5185\u5b58\u3002<\/li>\n<li>\u4f8b\u9898\uff1a2373. \u73af\u5f62\u7f51\u7edc\n<ul>\n<li>\u8fd9\u9053\u9898\u6211\u4f7f\u7528\u94fe\u8868\u5b8c\u6210\uff0c\u7531\u4e8e\u94fe\u8868\u7ba1\u7406\u9700\u8981\u5904\u7406\u5404\u79cd\u6307\u9488\u5173\u7cfb\uff0c\u5f88\u5bb9\u6613\u51fa\u73b0\u91ce\u6307\u9488\u548c\u8d8a\u754c\u8bbf\u95ee\uff1b\u540c\u65f6\uff0c\u94fe\u8868\u4e0d\u80fd\u4f7f\u7528\u5e93\u51fd\u6570\u7684\u4e8c\u5206\u67e5\u627e\u548c\u6392\u5e8f\uff0c\u9700\u8981\u624b\u52a8\u7f16\u5199\u6bd4\u8f83\u57fa\u7840\u7684\u589e\u5220\u5dee\u6539\u7684\u4ee3\u7801\u3002\u6700\u540e\uff0c\u6211\u82b1\u4e86\u4e00\u4e2a\u534a\u5c0f\u65f6\u624d\u628a\u4ee3\u7801\u8c03\u901a\u3002<\/li>\n<li>\u4ee3\u7801\u5199\u5b8c\u4e4b\u540e\uff0c\u6211\u601d\u8003\u4e86\u4e00\u4e0b\uff0c\u53d1\u73b0\u8fd9\u9053\u9898\u76f4\u63a5\u7528 <code>vector<\/code>\u53ef\u4ee5\u66f4\u5feb\u5b8c\u6210\u4efb\u52a1\uff0c\u4e5f\u4e0d\u5bb9\u6613\u51fa\u73b0\u6570\u7ec4\u8d8a\u754c\u7684\u95ee\u9898\u3002<\/li>\n<li>\u8fd9\u4e2a\u6545\u4e8b\u544a\u8bc9\u6211\u4eec\uff1a\u8981\u9009\u62e9\u5408\u9002\u7684\u6570\u636e\u7ed3\u6784\uff0c\u4e0d\u5efa\u8bae\u4f7f\u7528\u539f\u59cb\u6570\u7ec4\u6216\u94fe\u8868\uff0c\u4e0d\u7136\u524d\u4eba\u5f00\u53d1 <code>vector<\/code>\u7684\u610f\u4e49\u5728\u54ea\u91cc\u5462\uff1f<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u6ce8\u91ca\u7f16\u5199<\/p>\n<ul>\n<li>\n<p>\u5728\u5408\u9002\u7684\u5730\u65b9\u52a0\u5165\u6ce8\u91ca\u3002\u4e00\u822c\u5efa\u8bae\u5728\u51fd\u6570\u5185\u7684\u7279\u5b9a\u4f5c\u7528\u7684\u4ee3\u7801\u524d\u52a0\u5165\u6ce8\u91ca\uff0c\u56e0\u4e3a\u51fd\u6570\u5185\u7684\u4ee3\u7801\u5757\u4e0d\u50cf\u51fd\u6570 \u4e00\u6837\u6709\u51fd\u6570\u540d\u63d0\u793a\u8fd9\u6bb5\u4ee3\u7801\u7684\u4f5c\u7528\u3002<\/p>\n<\/li>\n<li>\n<p>\u4e3a\u4ee3\u7801\u5757\u6dfb\u52a0\u6ce8\u91ca\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5efa\u7acb\u6e05\u6670\u7684\u903b\u8f91\u601d\u8def\uff1b\u66f4\u91cd\u8981\u7684\u662f\uff0c\u5b83\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec<strong>\u4e00\u6bb5\u65f6\u95f4\u540e\u56de\u770b\u4ee3\u7801\u7684\u65f6\u5019\u4e0d\u88ab\u4ee3\u7801\u7ed5\u6655<\/strong>\u3002<\/p>\n<\/li>\n<li>\n<p>\u4eba\u96c6\u4e2d\u6ce8\u610f\u529b\u53ea\u80fd\u4e13\u6ce8\u5c40\u90e8\u7684\u95ee\u9898\uff0c\u540c\u65f6\u4eba\u7684\u8bb0\u5fc6\u4e5f\u662f\u6709\u9650\u7684\u3002\u5f53\u6211\u4eec\u628a\u5176\u4e2d\u67d0\u4e2a\u5c0f\u7684bug\u6539\u597d\u4e4b\u540e\uff0c\u5982\u679c\u4e0d\u52a0\u5165\u6ce8\u91ca\uff0c\u5c31\u9700\u8981\u82b1\u8d39\u65f6\u95f4\u53bb\u91cd\u65b0\u7406\u89e3\u4e4b\u524d\u5199\u7684\u5176\u4ed6\u4ee3\u7801\u3002\u5f53\u6211\u4eec\u8c03\u7a0b\u5e8f\u7684\u65f6\u5019\uff0c\u5f80\u5f80\u6bd4\u8f83\u201c\u6655\u201d\uff1b\u5982\u679c\u8fd9\u65f6\u5019\u518d\u6765\u770b\u4e00\u5806\u4e0d\u52a0\u6ce8\u91ca\u7684\u4ee3\u7801\uff0c\u5c31\u4f1a\u53d8\u5f97\u66f4\u201c\u6655\u201d\uff0c\u6548\u7387\u81ea\u7136\u5c31\u4e0b\u6765\u4e86\u3002<\/p>\n<\/li>\n<li>\n<p>\u8fd9\u91cc\u653e\u4e00\u6bb5\u6211\u4eec\u8001\u5e08\u5199\u7684\u8df3\u9a6c\u95ee\u9898\u7684\u4ee3\u7801\u4f5c\u4e3a\u793a\u4f8b\uff1a<\/p>\n<pre class=\"hljs\"><code><div> <span class=\"hljs-comment\">\/\/ \u7b2cstep\u6b65\uff0c\u4ece\u9ad8\u5ea6height\u5f00\u59cb\uff0c\u7ee7\u7eed\u4e0b\u697c<\/span>\n <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">Try<\/span><span class=\"hljs-params\">(<span class=\"hljs-keyword\">int<\/span> height, <span class=\"hljs-keyword\">int<\/span> step)<\/span> <\/span>{\n <span class=\"hljs-comment\">\/\/ \u9012\u5f52\u4e2d\u6b62\u6761\u4ef6\uff1a\u5230\u8fbe\u697c\u68af\u5e95\u5c42<\/span>\n <span class=\"hljs-keyword\">if<\/span> (height == <span class=\"hljs-number\">0<\/span>) {\n num ++; \n <span class=\"hljs-built_in\">cout<\/span> << num << <span class=\"hljs-string\">\": \"<\/span>;\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> i = <span class=\"hljs-number\">0<\/span>; i < step; i++) <span class=\"hljs-built_in\">cout<\/span> << path[i] << <span class=\"hljs-string\">' '<\/span>;\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-built_in\">endl<\/span>;\n <span class=\"hljs-keyword\">return<\/span>;\n } \n <span class=\"hljs-comment\">\/\/ \u4f9d\u6b21\u5c1d\u8bd5\u4e0d\u540c\u7684\u4e0b\u697c\u6b65\u6570(\u5faa\u73af\u53d8\u91cfi\u662f\u53ef\u80fd\u7684\u6b65\u6570)<\/span>\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> i = <span class=\"hljs-number\">1<\/span>; i <= <span class=\"hljs-number\">3<\/span>; i++) {\n <span class=\"hljs-keyword\">int<\/span> new_height = height - i;\n <span class=\"hljs-keyword\">if<\/span> (new_height < <span class=\"hljs-number\">0<\/span>) <span class=\"hljs-keyword\">break<\/span>; \n path[step] = i; \n Try(new_height, step+<span class=\"hljs-number\">1<\/span>);\n }\n }\n<\/div><\/code><\/pre>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h2 id=\"%E7%AC%AC%E4%BA%8C%E7%AB%A0-%E7%9F%A5%E5%BD%BC%E7%9F%A5%E5%B7%B1%E7%99%BE%E6%88%98%E7%99%BE%E8%83%9C\">\u7b2c\u4e8c\u7ae0 \u77e5\u5f7c\u77e5\u5df1\uff0c\u767e\u6218\u767e\u80dc<\/h2>\n<blockquote>\n<p><strong>\u8ba4\u8bc6\u5e38\u7528\u62a5\u9519\u7c7b\u578b<\/strong><\/p>\n<\/blockquote>\n<ul>\n<li>\u7b14\u8005\u603b\u7ed3\u4e86\u4e00\u4e0b\u5e38\u89c1\u9519\u8bef\uff1a<br \/>\n<table>\n<thead>\n<tr>\n<th style=\"text-align:center\">\u9519\u8bef\u7c7b\u578b<\/th>\n<th style=\"text-align:center\">\u5e38\u89c1\u539f\u56e0<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align:center\">\u8fd0\u884c\u9519\u8bef<\/td>\n<td style=\"text-align:center\">\u6570\u7ec4\u8d8a\u754c\u3001 \u65e0\u9650\u9012\u5f52\uff08\u4e5f\u5c31\u662f\u201c\u7206\u6808\u201d\uff09\u3001\u5e93\u51fd\u6570\u4f7f\u7528\u4e0d\u5408\u6cd5<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\">\u65f6\u95f4\u8d85\u9650<\/td>\n<td style=\"text-align:center\">\u7b97\u6cd5\u6548\u7387\u4f4e\u4e0b\u3001\u65e0\u9650\u9012\u63a8\uff08for\u6216\u8005while\u9677\u5165\u6b7b\u5faa\u73af\uff09\u3001\u6ca1\u6709\u6b63\u786e\u5904\u7406\u8c03\u8bd5\u4ee3\u7801<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align:center\">\u7b54\u6848\u9519\u8bef<\/td>\n<td style=\"text-align:center\">\u5b57\u9762\u610f\u601d\uff0c\u4f60\u61c2\u7684<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\u6570\u7ec4\u8d8a\u754c\uff1a\u5b9a\u4e49\u6570\u7ec4\u540e\u6ca1\u6709\u8d4b\u521d\u503c\uff0c\u6216\u8005\u6ca1\u6709\u4f7f\u7528<code>resize<\/code>\u51fd\u6570\u521d\u59cb\u5316\u6570\u7ec4\uff0c\u4ea6\u6216\u8005\u6ca1\u6709\u4f7f\u7528<code>push_back<\/code>\u6dfb\u52a0\u5143\u7d20\uff0c\u5728\u8fd9\u6837\u7684\u6761\u4ef6\u4e0b\u4f7f\u7528\u4e2d\u62ec\u53f7<code>[]<\/code>\u8bbf\u95ee\u6570\u7ec4\u5143\u7d20\u5c31\u89e6\u53d1\u8fd0\u884c\u9519\u8bef<\/li>\n<li>\u65e0\u9650\u9012\u5f52\uff1a\u51fd\u6570\u8c03\u7528\u7684\u5e95\u5c42\u662f\u6808\u3002\u6808\u662f\u4e00\u4e2a\u6709\u5e95\u7684\u5bb9\u5668\uff0c\u5177\u6709\u201c\u540e\u8fdb\u5148\u51fa\u201d\u7684\u7279\u6027\u3002\u6808\u7684\u5185\u5b58\u6709\u9650\u5236\uff0c\u5f53\u6211\u4eec\u4e0d\u5c0f\u5fc3\u5199\u4e86\u4e00\u4e2a\u65e0\u9650\u9012\u5f52\uff08\u5373\u51fd\u6570\u6ca1\u6709\u7ec8\u6b62\u6761\u4ef6\uff0c\u4e0d\u65ad\u8c03\u7528\u81ea\u8eab\uff09\uff0c\u6bcf\u6b21\u8c03\u90fd\u4f1a\u5728\u6808\u4e0a\u5360\u7528\u65b0\u7684\u5185\u5b58\u3002\u8fd9\u4f1a\u8fc5\u901f\u8d85\u51fa\u6808\u7684\u5185\u5b58\u9650\u5236\uff0c\u4e5f\u5c31\u662f\u201c\u8d85\u51fa\u6700\u5927\u9012\u5f52\u6df1\u5ea6\u201d\uff0c\u8fdb\u800c\u629b\u51fa\u6808\u6ea2\u51fa\u5f02\u5e38\u3002\u5927\u5bb6\u53ef\u4ee5\u53c2\u8003\u4e0b\u9762\u8fd9\u5f20\u56fe\u6765\u7406\u89e3\uff1a<br \/>\n<img decoding=\"async\" src=\"https:\/\/www.tom-thu.cn\/wp-content\/uploads\/2026\/01\/1767344377-stack.png\" alt=\"stack\"><\/li>\n<li>\u5e93\u51fd\u6570\u4f7f\u7528\u4e0d\u5408\u6cd5\uff1a\u5728\u8c03\u7528\u5e93\u51fd\u6570\u7684\u65f6\u5019\u4f20\u5165\u4e86\u4e0d\u6070\u5f53\u7684\u53c2\u6570\uff0c\u8fdb\u800c\u5bfc\u81f4\u5e93\u51fd\u6570\u4f7f\u7528\u62a5\u9519\u3002\u4f8b\u5982\uff0c\u57282368. \u732a\u732a\u4fa0\u5927\u95ef\u5173\u4e2d\uff0c\u6211\u7684\u4e00\u4e2a\u670b\u53cb\u4f7f\u7528<code>stoi()<\/code>\u6765\u628a\u6700\u7ec8\u7ed3\u679c\u8f6c\u6362\u4e3a\u6570\u5b57\uff0c\u5374\u6ca1\u8003\u8651\u5230\u5982\u679c\u6700\u7ec8\u7684\u7ed3\u679c\u5f88\u5927\uff0c\u8d85\u8fc7\u4e86int\u80fd\u8868\u793a\u7684\u6700\u5927\u8303\u56f4\uff0c<code>stoi()<\/code>\u51fd\u6570\u4f1a\u62a5\u9519\uff0c\u8fdb\u800c\u5bfc\u81f4\u8fd0\u884c\u9519\u8bef\u3002<\/li>\n<li>\u7b97\u6cd5\u6548\u7387\u4f4e\u4e0b\uff1a\u5982\u5728\u52a8\u6001\u89c4\u5212\u95ee\u9898\u4e2d\u6ca1\u6709\u52a0\u5165\u8bb0\u5fc6\u5316\u6570\u7ec4\uff0c\u6ca1\u6709\u526a\u679d\u3001\u6ca1\u6709\u91c7\u7528\u524d\u7f00\u548c\u6eda\u52a8\u6570\u7ec4\u7b49\u6280\u5de7\u3001\u7528DFS\u5199BFS\u7684\u9898\u7b49\uff0c\u5bfc\u81f4\u7b97\u6cd5\u65f6\u95f4\u590d\u6742\u5ea6\u8fc7\u9ad8\u3002<\/li>\n<li>\u65e0\u9650\u9012\u63a8\uff1a\u4e0d\u5c0f\u5fc3\u5199\u4e86\u4e00\u4e2a\u6b7b\u5faa\u73af\uff08\u5982<code>while(true)<\/code>\u6216\u8005<code>for<\/code>\u5faa\u73af\u5185\u90e8\u5bf9\u5faa\u73af\u53d8\u91cf\u505a\u51fa\u4e86\u66f4\u6539\uff09\uff0c\u7a0b\u5e8f\u4e0d\u65ad\u91cd\u590d\u6267\u884c\u540c\u4e00\u6bb5\u4ee3\u7801\u800c\u4e0d\u9000\u51fa\uff0c\u5bfc\u81f4\u65f6\u95f4\u8d85\u9650\u3002\u7531\u4e8e\u5faa\u73af\u9012\u63a8\u5728\u540c\u4e00\u4e2a\u51fd\u6570\u5185\u5b9e\u73b0\u7684\uff0c\u4e0d\u4f1a\u8c03\u7528\u4ea7\u751f\u65b0\u7684\u51fd\u6570\u8c03\u7528\u5e27\uff0c\u6240\u4ee5\u4e0d\u4f1a\u62a5\u201c\u8fd0\u884c\u9519\u8bef\u201d\u3002<\/li>\n<li>\u6ca1\u6709\u6b63\u786e\u5904\u7406\u8c03\u8bd5\u4ee3\u7801\uff1a\u53c2\u89c1\u672c\u6587\u7684 3<\/li>\n<\/ul>\n<h2 id=\"%E7%AC%AC%E4%B8%89%E7%AB%A0-%E6%90%AD%E5%BB%BA%E8%B0%83%E8%AF%95%E5%AE%9E%E9%AA%8C%E5%AE%A4\">\u7b2c\u4e09\u7ae0 \u642d\u5efa\u8c03\u8bd5\u201c\u5b9e\u9a8c\u5ba4\u201d<\/h2>\n<blockquote>\n<p><strong>\u5728\u53ef\u63a7\u6761\u4ef6\u4e2d\u5355\u6b65\u8ffd\u8e2a\u53ef\u7591\u53d8\u91cf\u4fe1\u606f<\/strong><\/p>\n<\/blockquote>\n<ol>\n<li>\u6a21\u62df\u8f93\u5165\u63d0\u9ad8\u6548\u7387<\/li>\n<\/ol>\n<ul>\n<li>\u6211\u4eec\u5728\u8c03\u8bd5\u9636\u6bb5\u53ef\u4ee5\u81ea\u5b9a\u4e49\u4e00\u4e2a <code>debugger()<\/code>\uff0c\u7528\u4e8e\u5bf9\u5168\u5c40\u53d8\u91cf\u8d4b\u521d\u503c<\/li>\n<li>\u5bf9\u4e8e\u8f93\u5165\u6570\u7ec4\u7684\u9898\uff0c\u5efa\u8bae\u7f16\u5199\u4e00\u4e2a\u65b0\u7684 <code>generate()<\/code>\u51fd\u6570\uff08\u8fd9\u4e2a\u53ef\u4ee5\u81ea\u5df1\u63d0\u524d\u5199\u597d\u4e4b\u540e\u76f4\u63a5\u7528\uff09 \uff0c\u7528\u4e8e\u6279\u91cf\u628a\u8f93\u5165\u8f6c\u5316\u4e3a\u6570\u7ec4<\/li>\n<li>\u5f53\u7136\uff0c\u5904\u7406\u65b9\u6cd5\u4e0d\u6b62\u8fd9\u4e00\u79cd\uff0c\u8fd8\u53ef\u4ee5\u4f7f\u7528 <code>sstream<\/code>\u548c <code>R"()"<\/code>\u6765\u521b\u5efa\u591a\u884c\u8f93\u5165\u6d41\u5bf9\u8c61<\/li>\n<li>\u6211\u7684 <code>generate()<\/code>\u51fd\u6570\uff1a<\/li>\n<\/ul>\n<pre class=\"hljs\"><code><div> <span class=\"hljs-keyword\">template<\/span> <<span class=\"hljs-keyword\">typename<\/span> T> <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">generate2<\/span><span class=\"hljs-params\">(<span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-built_in\">vector<\/span><T>> &in)<\/span> <\/span>{\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\"{\"<\/span>;\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> x = <span class=\"hljs-number\">1<\/span>; x <= (<span class=\"hljs-keyword\">int<\/span>)in.size(); x++) {\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\"{\"<\/span>;\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> y = <span class=\"hljs-number\">0<\/span>; y < (<span class=\"hljs-keyword\">int<\/span>)in[x - <span class=\"hljs-number\">1<\/span>].size(); y++) {\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\" \"<\/span> << in[x - <span class=\"hljs-number\">1<\/span>][y];\n <span class=\"hljs-keyword\">if<\/span> (y != (<span class=\"hljs-keyword\">int<\/span>)in[x - <span class=\"hljs-number\">1<\/span>].size() - <span class=\"hljs-number\">1<\/span>)\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\",\"<\/span>;\n }\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\"}\"<\/span>;\n <span class=\"hljs-keyword\">if<\/span> (x != (<span class=\"hljs-keyword\">int<\/span>)in.size())\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\" ,\"<\/span> << <span class=\"hljs-built_in\">endl<\/span>;\n }\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\"}\"<\/span> << <span class=\"hljs-built_in\">endl<\/span>;\n }\n\n <span class=\"hljs-keyword\">template<\/span> <<span class=\"hljs-keyword\">typename<\/span> T> <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">generate1<\/span><span class=\"hljs-params\">(<span class=\"hljs-built_in\">vector<\/span><T> &in)<\/span> <\/span>{\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\"{\"<\/span>;\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> x = <span class=\"hljs-number\">1<\/span>; x <= (<span class=\"hljs-keyword\">int<\/span>)in.size(); x++) {\n <span class=\"hljs-built_in\">cout<\/span> << in[x - <span class=\"hljs-number\">1<\/span>];\n <span class=\"hljs-keyword\">if<\/span> (x != (<span class=\"hljs-keyword\">int<\/span>)in.size())\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\", \"<\/span>;\n }\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\"}\"<\/span> << <span class=\"hljs-built_in\">endl<\/span>;\n }\n<\/div><\/code><\/pre>\n<ol start=\"2\">\n<li>\u81ea\u5b9a\u4e49\u8c03\u8bd5\u51fd\u6570\u6253\u5370\u8f93\u51fa\u5bf9\u5e94\u53d8\u91cf\u503c<\/li>\n<\/ol>\n<ul>\n<li>\u901a\u8fc7\u81ea\u5b9a\u4e49\u51fd\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5e03\u5c14\u503c\u63a7\u5236\u662f\u5426\u6253\u5370\u8c03\u8bd5\u4fe1\u606f\uff08\u4f8b\u5982\u672c\u6587 1-\u4ee3\u7801\u7f16\u5199 \u90e8\u5206\uff0c\u793a\u4f8b\u4ee3\u7801\u5f00\u5934\u7684\u5168\u5c40\u53d8\u91cf <code>bool DEBUG<\/code>\uff09\uff0c\u4e5f\u53ef\u4ee5\u5b9e\u73b0\u7528\u4e00\u884c\u4ee3\u7801\u540c\u65f6\u6253\u5370\u5b57\u7b26\u4e32\u3001\u6574\u6570\u7b49\uff0c\u4e5f\u53ef\u4ee5\u7528\u8fd9\u4e2a\u51fd\u6570\u6253\u5370\u4e00\u7ef4\u6216\u4e8c\u7ef4\u6570\u7ec4\uff0c\u9177\u4f3cpython\u7684 <code>print<\/code>\u51fd\u6570\uff0c\u4f46\u662f\u53c8\u7565\u6709\u4e0d\u540c\u3002<\/li>\n<li>\u57fa\u4e8e\u6b64\u3002\u6211\u4eec\u53ef\u4ee5\u4e3a\u8fd9\u4e2a <code>print<\/code>\u51fd\u6570\u5957\u4e00\u4e2a\u201c\u8fc7\u6ee4\u5668\u201d\uff0c\u4e5f\u5c31\u662f\u8bf4\u6839\u636e\u5173\u7cfb\u8868\u8fbe\u5f0f\u7684\u8fd4\u56de\u503c\uff0c\u6765\u5224\u65ad\u662f\u5426\u8f93\u51fa\u6ee1\u8db3\u7279\u5b9a\u6761\u4ef6\u7684\u4fe1\u606f\uff08\u6bd4\u5982\u6211\u4eec\u9700\u8981 <code>a%5==0<\/code>\u65f6\u8f93\u51fa\u7279\u5b9a\u4fe1\u606f\uff0c\u5c31\u53ef\u4ee5\u5199 <code>print(a%5==0, "Message:", ...)<\/code>\uff09<\/li>\n<li>\u5bf9\u4e8e\u975e\u9012\u5f52\u7684\u60c5\u51b5\uff0c\u6211\u57fa\u4e8e\u7ecf\u9a8c\uff0c\u6839\u636e\u6211\u7684\u9700\u6c42\u8ba9deepseek\u7f16\u5199\u4e86\u4e00\u4e2a\u901a\u7528\u6253\u5370\u51fd\u6570\uff08\u4f7f\u7528\u65b9\u6cd5\u53c2\u89c1\u4ee3\u7801\u6ce8\u91ca\uff09\u3002- \u591a\u8bf4\u51e0\u53e5\uff0c\u4e4b\u524d\u4e5f\u6709\u8fc7\u96f6\u661f\u7684\u6253\u5370\u4e00\u7ef4\u3001\u4e8c\u7ef4\u6570\u7ec4\u7684\u51fd\u6570\uff0c\u4f46\u540e\u6765\u53d1\u73b0\u6bcf\u4e2a\u9898\u90fd\u8981\u590d\u5236\u5bf9\u5e94\u7684\u5f88\u9ebb\u70e6\uff0c\u800c\u4e14\u4e0d\u65b9\u4fbf\u5207\u6362\u8c03\u8bd5\u7248\u672c\u548c\u63d0\u4ea4\u7248\u672c\u3002<\/li>\n<li>\u4ee5\u4e0b\u4e3a\u7ec8\u7248 <code>print<\/code>\u51fd\u6570\uff1a<\/li>\n<\/ul>\n<pre class=\"hljs\"><code><div><span class=\"hljs-meta\">#<span class=\"hljs-meta-keyword\">include<\/span> <span class=\"hljs-meta-string\"><iostream><\/span><\/span>\n<span class=\"hljs-meta\">#<span class=\"hljs-meta-keyword\">include<\/span> <span class=\"hljs-meta-string\"><vector><\/span><\/span>\n\n<span class=\"hljs-keyword\">using<\/span> <span class=\"hljs-keyword\">namespace<\/span> <span class=\"hljs-built_in\">std<\/span>;\n\n<span class=\"hljs-comment\">\/*\n\n\u4f7f\u7528\u65b9\u6cd5\uff1a\n\u6ce8\u610f\uff1aprint\u63a5\u53d7\u7684\u7b2c\u4e00\u4e2a\u53c2\u6570\u5fc5\u987b\u662fbool\uff0c\u7528\u4e8e\u63a7\u5236\u662f\u5426\u6253\u5370\uff01\n\u4e00\u822c\u5728\u6587\u4ef6\u5f00\u59cb\u5b9a\u4e49\u5168\u5c40\u53d8\u91cfbool DEBUG\uff0c\u7528\u4e8e\u63a7\u5236\u662f\u5426\u6253\u5370\u8c03\u8bd5\u4fe1\u606f\u3002\n\n\u6253\u5370\u503c\uff1aprint(bool,value1,value2,value3...)\nvalue\u53ef\u4ee5\u662f\u53d8\u91cf\uff0c\u4e5f\u53ef\u4ee5\u662f\u5b57\u7b26\u4e32\u3001\u6574\u6570\u7b49\u5e38\u91cf\u3002\n\u8f93\u51fa\u4e3a\u5404\u4e2avalue\u7684\u503c\uff0c\u76f8\u90bbvalue\u7528\u7a7a\u683c\u5206\u9694\u3002\n\n\u793a\u4f8b\uff1aprint(DEBUG,\"tmp:\",tmp);\n\u5982\u679ctmp\u7684\u503c\u4e3a2\uff0c\u5219\u4e0a\u8ff0\u4ee3\u7801\u53ef\u4ee5\u5f97\u5230\uff1a\ntmp: 2\n\n\u6253\u5370\u5bb9\u5668:print(bool,vector<...>)\n\u6216 print(bool,vector<vector<...>>)\n\u76ee\u524d\u53ea\u652f\u6301\u6253\u5370\u4e00\u7ef4\u548c\u4e8c\u7ef4vector\uff0c\u5e76\u4e14\u8be5\u6a21\u5f0f\u4e0b\u5355\u4e2aprint\u8bed\u53e5\u53ea\u80fd\u6253\u5370\u4e00\u4e2a\u5bb9\u5668\u3002\n\u8f93\u5165\u4e3a\u5411\u91cf\u6216\u77e9\u9635\uff0c\u8f93\u51fa\u4e2d\u540c\u884c\u76f8\u90bb\u5143\u7d20\u7528\u9017\u53f7+\u7a7a\u683c\u5206\u9694\uff0c\u82e5\u4e3a\u4e8c\u7ef4\u6570\u7ec4\u5219\u591a\u884c\u8f93\u51fa\u3002\n\n\u793a\u4f8b:print(DEBUG,tmp);\n\u5982\u679ctmp={{0,1},{2,1}}\uff0c\u5219\u8f93\u51fa\uff1a\n0, 1\n2, 1\n\n*\/<\/span>\n\n<span class=\"hljs-comment\">\/\/ \u9012\u5f52\u7ec8\u6b62\u51fd\u6570<\/span>\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">print_impl<\/span><span class=\"hljs-params\">()<\/span> <\/span>{ <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-built_in\">endl<\/span>; }\n<span class=\"hljs-comment\">\/\/ \u9012\u5f52\u5c55\u5f00\u53ef\u53d8\u53c2\u6570\u6a21\u677f<\/span>\n<span class=\"hljs-keyword\">template<\/span> <<span class=\"hljs-keyword\">typename<\/span> T, <span class=\"hljs-keyword\">typename<\/span>... Args> <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">print_impl<\/span><span class=\"hljs-params\">(T first, Args... rest)<\/span> <\/span>{\n <span class=\"hljs-built_in\">cout<\/span> << first;\n <span class=\"hljs-keyword\">if<\/span> (<span class=\"hljs-keyword\">sizeof<\/span>...(rest) > <span class=\"hljs-number\">0<\/span>) {\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\" \"<\/span>;\n }\n print_impl(rest...);\n}\n<span class=\"hljs-comment\">\/\/ \u4e3b\u51fd\u6570\u6a21\u677f<\/span>\n<span class=\"hljs-keyword\">template<\/span> <<span class=\"hljs-keyword\">typename<\/span>... Args> <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">print<\/span><span class=\"hljs-params\">(<span class=\"hljs-keyword\">bool<\/span> should_print, Args... args)<\/span> <\/span>{\n <span class=\"hljs-keyword\">if<\/span> (!should_print)\n <span class=\"hljs-keyword\">return<\/span>;\n <span class=\"hljs-comment\">\/\/ \u4f7f\u7528\u9012\u5f52\u5c55\u5f00\u53c2\u6570\u5305<\/span>\n print_impl(args...);\n}\n<span class=\"hljs-comment\">\/\/ vector \u7279\u5316\u7248\u672c<\/span>\n<span class=\"hljs-keyword\">template<\/span> <<span class=\"hljs-keyword\">typename<\/span> T> <span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">print<\/span><span class=\"hljs-params\">(<span class=\"hljs-keyword\">bool<\/span> should_print, <span class=\"hljs-keyword\">const<\/span> <span class=\"hljs-built_in\">vector<\/span><T> &vec)<\/span> <\/span>{\n <span class=\"hljs-keyword\">if<\/span> (!should_print)\n <span class=\"hljs-keyword\">return<\/span>;\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">size_t<\/span> i = <span class=\"hljs-number\">0<\/span>; i < vec.size(); ++i) {\n <span class=\"hljs-built_in\">cout<\/span> << vec[i];\n <span class=\"hljs-keyword\">if<\/span> (i < vec.size() - <span class=\"hljs-number\">1<\/span>)\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\", \"<\/span>;\n }\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-built_in\">endl<\/span>;\n}\n<span class=\"hljs-comment\">\/\/ vector<vector> \u7279\u5316\u7248\u672c<\/span>\n<span class=\"hljs-keyword\">template<\/span> <<span class=\"hljs-keyword\">typename<\/span> T>\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">print<\/span><span class=\"hljs-params\">(<span class=\"hljs-keyword\">bool<\/span> should_print, <span class=\"hljs-keyword\">const<\/span> <span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-built_in\">vector<\/span><T>> &matrix)<\/span> <\/span>{\n <span class=\"hljs-keyword\">if<\/span> (!should_print)\n <span class=\"hljs-keyword\">return<\/span>;\n\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">size_t<\/span> i = <span class=\"hljs-number\">0<\/span>; i < matrix.size(); ++i) {\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">size_t<\/span> j = <span class=\"hljs-number\">0<\/span>; j < matrix[i].size(); ++j) {\n <span class=\"hljs-built_in\">cout<\/span> << matrix[i][j];\n <span class=\"hljs-keyword\">if<\/span> (j < matrix[i].size() - <span class=\"hljs-number\">1<\/span>)\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-string\">\", \"<\/span>;\n }\n <span class=\"hljs-keyword\">if<\/span> (i < matrix.size() - <span class=\"hljs-number\">1<\/span>)\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-built_in\">endl<\/span>;\n }\n <span class=\"hljs-built_in\">cout<\/span> << <span class=\"hljs-built_in\">endl<\/span>;\n}\n<\/div><\/code><\/pre>\n<ol start=\"3\">\n<li>\u63d0\u793a\u9012\u5f52\u6df1\u5ea6\u68b3\u7406\u903b\u8f91<\/li>\n<\/ol>\n<ul>\n<li>\u4e0a\u4e00\u8282\u4ecb\u7ecd\u8fc7\uff0c\u51fd\u6570\u7684\u8c03\u7528\u901a\u8fc7\u6808\u5b9e\u73b0\uff0c\u6709\u4e00\u4e2a\u201c\u9012\u8fdb\u201d\u548c\u201c\u56de\u5f52\u201d\u7684\u8fc7\u7a0b\u3002<\/li>\n<li>\u8fd9\u4e2a\u65f6\u5019\uff0c\u5982\u679c\u6211\u4eec\u76f4\u63a5\u5728\u51fd\u6570\u5185\u90e8\u4f7f\u7528\u4e0a\u8ff0\u65b9\u6cd5\u8f93\u51fa\u8c03\u8bd5\u4fe1\u606f\uff0c\u4f1a\u53d1\u73b0\u5f88\u4e71\u3002\u6211\u4eec\u901a\u5e38\u8c03\u8bd5\u8f93\u51fa\u51fd\u6570\u7684\u8f93\u5165\u53c2\u6570\u548c\u7ed3\u679c\uff0c\u82e5\u4e0d\u63d0\u793a\u5f53\u524d\u7684\u9012\u5f52\u6df1\u5ea6\uff0c\u5728\u770b\u8f93\u51fa\u7684\u65f6\u5019\u5bb9\u6613\u770b\u7740\u770b\u7740\u5c31\u4e0d\u77e5\u9053\u8fd9\u4e2a\u7ed3\u679c\u5bf9\u5e94\u7684\u54ea\u4e00\u4e2a\u8f93\u5165\u4e86\u3002<\/li>\n<li>\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5728\u8f93\u51fa\u4fe1\u606f\u4e4b\u524d\uff0c\u5148\u8f93\u51fa\u7a7a\u683c\u6216\u661f\u53f7\uff0c\u6765\u63d0\u793a\u5f53\u524d\u9012\u5f52\u6df1\u5ea6\uff0c\u8ba9\u8f93\u51fa\u4fe1\u606f\u66f4\u6574\u6d01\u3002<\/li>\n<li>\u5b9e\u73b0\u65b9\u6cd5\u5982\u4e0b\uff1a<\/li>\n<\/ul>\n<pre class=\"hljs\"><code><div><span class=\"hljs-keyword\">int<\/span> ctrl = <span class=\"hljs-number\">1<\/span>;\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">int<\/span> <span class=\"hljs-title\">example<\/span><span class=\"hljs-params\">(<span class=\"hljs-keyword\">int<\/span> in)<\/span> <\/span>{\n <span class=\"hljs-comment\">\/\/\u8ba1\u7b97\u524d\u7f00<\/span>\n <span class=\"hljs-built_in\">string<\/span> prefix = <span class=\"hljs-string\">\"\"<\/span>;\n <span class=\"hljs-keyword\">if<\/span> (DEBUG) {\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> x = <span class=\"hljs-number\">0<\/span>; x < ctrl; x++)\n prefix += <span class=\"hljs-string\">\"*\"<\/span>;\n ctrl++;\n }\n print(DEBUG, prefix, <span class=\"hljs-string\">\"in:\"<\/span>, in);\n\n <span class=\"hljs-comment\">\/\/ \u9012\u5f52\u7ec8\u6b62\u6761\u4ef6<\/span>\n <span class=\"hljs-keyword\">if<\/span> (in == <span class=\"hljs-number\">1<\/span>) {\n print(DEBUG, prefix, <span class=\"hljs-string\">\"out:\"<\/span>, <span class=\"hljs-number\">1<\/span>);\n <span class=\"hljs-keyword\">if<\/span> (DEBUG)\n ctrl--;\n <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">1<\/span>;\n }\n\n <span class=\"hljs-comment\">\/\/ \u9012\u5f52\u8ba1\u7b97\u548c<\/span>\n <span class=\"hljs-keyword\">int<\/span> sum = example(in - <span class=\"hljs-number\">1<\/span>);\n sum += in;\n\n print(DEBUG, prefix, <span class=\"hljs-string\">\"out:\"<\/span>, sum);\n <span class=\"hljs-keyword\">if<\/span> (DEBUG)\n ctrl--;\n <span class=\"hljs-keyword\">return<\/span> sum;\n}\n<\/div><\/code><\/pre>\n<ul>\n<li>\u9700\u8981\u6ce8\u610f\u7684\u6709\u4e24\u70b9\uff1a\u4e00\u662f\u8981\u786e\u4fdd\u5f00\u542fDEBUG\u7684\u65f6\u5019\u624d\u8ba1\u7b97\u524d\u7f00\uff0c\u5426\u5219\u63d0\u4ea4\u7684\u4ee3\u7801\u4f1a\u4e25\u91cd\u8d85\u65f6\uff1b\u4e8c\u662f\u6240\u6709\u7684 <code>return<\/code>\u8bed\u53e5\u524d\u90fd\u8981\u5bf9 <code>ctrl<\/code>\u505a\u81ea\u51cf\u64cd\u4f5c\uff0c\u7279\u522b\u662f <code>if(in == 1)<\/code>\u8fd9\u90e8\u5206<\/li>\n<\/ul>\n<ol start=\"4\">\n<li>\u5355\u6b65\u6a21\u62df<\/li>\n<\/ol>\n<ul>\n<li>\u5728\u51fd\u6570\u5f00\u59cb\u7684\u65f6\u5019\u52a0\u5165<code>getchar()<\/code>\u6765\u5355\u6b65\u6a21\u62df\uff0c\u5bf9\u4e8e\u96be\u5bf9\u4ed8\u7684BUG\u6bd4\u8f83\u6709\u7528<\/li>\n<li>\u8be5\u65b9\u6cd5\u4f5c\u7528\u4e3a\u5728\u8fdb\u5165\u51fd\u6570\u7684\u65f6\u5019\u7a0b\u5e8f\u4e2d\u65ad\uff0c\u5f53\u7528\u6237\u6309\u4e0b\u4efb\u610f\u6309\u952e\uff0c\u518d\u6267\u884c\u51fd\u6570\u5185\u90e8\u4ee3\u7801<\/li>\n<li>\u4f7f\u7528\u793a\u4f8b\uff1a\n<pre class=\"hljs\"><code><div><span class=\"hljs-function\"><span class=\"hljs-keyword\">int<\/span> <span class=\"hljs-title\">example<\/span><span class=\"hljs-params\">(<span class=\"hljs-keyword\">int<\/span> in)<\/span> <\/span>{\n<span class=\"hljs-keyword\">if<\/span> (DEBUG)\n getchar();\n...\n}\n<\/div><\/code><\/pre>\n<\/li>\n<\/ul>\n<ol start=\"5\">\n<li>\u4e00\u70b9\u63d0\u9192<\/li>\n<\/ol>\n<ul>\n<li>\u8c03\u8bd5\u4ee3\u7801\u6700\u6838\u5fc3\u7684\u662f\u53bb\u5bfb\u627e\u53ef\u80fd\u6709\u9519\u8bef\u6216\u8005\u8003\u8651\u4e0d\u5468\u5168\u7684\u903b\u8f91\u3002<\/li>\n<li>\u56e0\u6b64\u4e0a\u8ff0\u8c03\u8bd5\u51fd\u6570\u7b49\u65b9\u6cd5\u4ec5\u4ec5\u662f\u4e3a\u4e86\u5e2e\u52a9\u5927\u5bb6\u63d0\u9ad8\u8f93\u51fa\u4fe1\u606f\u7684\u6548\u7387\uff1b\u4f46\u6bd4\u8fd9\u66f4\u91cd\u8981\u7684\u662f\u53bb\u660e\u667a\u5730\u9009\u62e9\u9700\u8981\u8f93\u51fa\u7684\u53d8\u91cf\uff0c\u7136\u540e\u7528\u5408\u9002\u7684\u8fc7\u6ee4\u5668\u6765\u5ffd\u7565\u4e0d\u9700\u8981\u6253\u5370\u7684\u53d8\u91cf\uff0c\u4ee5\u53ca\u901a\u8fc7\u52a8\u7b14\u4e00\u6b65\u6b65\u9a8c\u7b97\u6765\u627e\u5230\u903b\u8f91\u9519\u8bef\u3002\u76f2\u76ee\u8f93\u51fa\u5404\u79cd\u53d8\u91cf\u7684\u503c\u7684\u884c\u4e3a\u4e0d\u53ef\u53d6\u3002<\/li>\n<li>\u540c\u65f6\uff0c\u5bf9\u4e8e\u4e00\u4e9b\u6bd4\u8f83\u7279\u6b8a\u7684\u6570\u636e\u7ed3\u6784\uff08\u6bd4\u5982\u94fe\u8868\u3001\u96c6\u5408\u3001\u961f\u5217\u7b49\uff09\uff0c\u8bfb\u8005\u9700\u8981\u81ea\u5df1\u7f16\u5199\u5bf9\u5e94\u7684\u51fd\u6570\u6765\u68c0\u67e5\u5404\u79cd\u53d8\u91cf\uff0c\u4ee5\u4e0a\u6253\u5370\u51fd\u6570\u4ec5\u4f9b\u53c2\u8003\u3002<\/li>\n<\/ul>\n<h2 id=\"%E7%AC%AC%E5%9B%9B%E7%AB%A0-%E7%BA%B8%E4%B8%8A%E6%BC%94%E7%AE%97\">\u7b2c\u56db\u7ae0 \u7eb8\u4e0a\u6f14\u7b97<\/h2>\n<blockquote>\n<p><strong>\u624b\u52a8\u6a21\u62df\u8c03\u8bd5\u4fe1\u606f\u4e2d\u5173\u952e\u53d8\u91cf\u503c\u7684\u53d8\u5316\uff0c\u8fdb\u800c\u53d1\u73b0\u9519\u8bef<\/strong><\/p>\n<\/blockquote>\n<ul>\n<li>\u5982\u679c\u53ea\u662f\u7d27\u76ef\u7535\u8111\u5c4f\u5e55\uff0c\u7d27\u76ef\u7740\u8c03\u8bd5\u4fe1\u606f\u4e0d\u653e\uff0c\u6211\u4eec\u4e0d\u514d\u81ea\u5df1\u4e5f\u628a\u81ea\u5df1\u7ed5\u8fdb\u7a0b\u5e8f\u91cc\u9762\u53bb\u3002\u89e3\u51b3\u590d\u6742\u6570\u5b66\u9898\u65f6\uff0c\u6211\u4eec\u5e76\u4e0d\u662f\u53ea\u5728\u8111\u5b50\u91cc\u63a8\u6f14\u5c31\u53ef\u4ee5\u628a\u5b83\u89e3\u51fa\u6765\uff0c\u627e\u7a0b\u5e8f\u4e2d\u7684BUG\u4e5f\u4e00\u6837\u3002<\/li>\n<li>\u5982\u679c\u6211\u4eec\u81ea\u5df1\u7eb8\u4e0a\u63a8\u6f14\u4e00\u904d\u7a0b\u5e8f\u8fd0\u884c\u7684\u7ed3\u679c\uff0c\u5f53\u8f93\u51fa\u7684\u8c03\u8bd5\u4fe1\u606f\u8db3\u591f\u7684\u65f6\u5019\uff0c\u6211\u4eec\u5c31\u4f1a\u53d1\u73b0\u7a0b\u5e8f\u8fd0\u884c\u7684\u8bef\u5dee\uff0c\u63d0\u5347\u627e\u51fa\u9519\u8bef\u7684\u6548\u7387\n<ul>\n<li>\u4f8b\u9898\uff1a2609. \u68ee\u6797\u51b0\u706b\u4eba<\/li>\n<li>\u8fd9\u662f\u6709\u95ee\u9898\u7684\u4ee3\u7801\uff08<strong>\u4e0d\u7528\u4ed4\u7ec6\u8bfb<\/strong>\uff09\uff1a<\/li>\n<\/ul>\n<pre class=\"hljs\"><code><div><span class=\"hljs-function\"><span class=\"hljs-keyword\">int<\/span> <span class=\"hljs-title\">min_times<\/span><span class=\"hljs-params\">(<span class=\"hljs-keyword\">int<\/span> f_x, <span class=\"hljs-keyword\">int<\/span> f_y, <span class=\"hljs-keyword\">int<\/span> i_x, <span class=\"hljs-keyword\">int<\/span> i_y, <span class=\"hljs-keyword\">bool<\/span> f_des, <span class=\"hljs-keyword\">bool<\/span> i_des)<\/span> <\/span>{\n <span class=\"hljs-comment\">\/\/ \u963b\u585e\u9012\u5f52\u4ee5\u5b9e\u73b0\u5355\u6b65\u6a21\u62df<\/span>\n <span class=\"hljs-keyword\">if<\/span> (simple)\n getchar();\n <span class=\"hljs-comment\">\/\/ \u8ba1\u7b97\u524d\u7f00<\/span>\n <span class=\"hljs-built_in\">string<\/span> prefix = <span class=\"hljs-string\">\"\"<\/span>;\n <span class=\"hljs-keyword\">if<\/span> (in_out) {\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> x = <span class=\"hljs-number\">0<\/span>; x < ctrl; x++)\n prefix += <span class=\"hljs-string\">\"*\"<\/span>;\n }\n prefix += to_string(ctrl);\n ctrl++;\n\n print(in_out, prefix, <span class=\"hljs-string\">\"in\"<\/span>);\n check();\n\n <span class=\"hljs-comment\">\/\/ 0:\u4e0d\u53ef\u884c -1:\u5168\u90e8\u8fbe\u5230\u7ec8\u70b9 -4:\u8d70\u8fc7<\/span>\n <span class=\"hljs-keyword\">bool<\/span> judge_f = (MAP[f_x][f_y] == <span class=\"hljs-number\">9<\/span>);\n <span class=\"hljs-keyword\">bool<\/span> judge_i = (MAP[i_x][i_y] == <span class=\"hljs-number\">9<\/span>);\n <span class=\"hljs-keyword\">if<\/span> (judge_f && judge_i) {\n print(in_out, prefix, <span class=\"hljs-string\">\"out: return from X\"<\/span>);\n ctrl--;\n <span class=\"hljs-comment\">\/\/ check();<\/span>\n f_des = <span class=\"hljs-number\">1<\/span>, i_des = <span class=\"hljs-number\">1<\/span>;\n <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">-1<\/span>;\n } <span class=\"hljs-keyword\">else<\/span> <span class=\"hljs-keyword\">if<\/span> (judge_f) {\n f_des = <span class=\"hljs-number\">1<\/span>; <span class=\"hljs-comment\">\/\/ \u526a\u679d<\/span>\n } <span class=\"hljs-keyword\">else<\/span> <span class=\"hljs-keyword\">if<\/span> (judge_i) {\n i_des = <span class=\"hljs-number\">1<\/span>; <span class=\"hljs-comment\">\/\/ \u526a\u679d<\/span>\n }\n\n <span class=\"hljs-keyword\">bool<\/span> f_move = <span class=\"hljs-number\">0<\/span>;\n <span class=\"hljs-keyword\">bool<\/span> i_move = <span class=\"hljs-number\">0<\/span>;\n\n MEM[f_x][f_y][i_x][i_y] = <span class=\"hljs-number\">1<\/span>;\n\n <span class=\"hljs-keyword\">int<\/span> f, i;\n <span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-keyword\">bool<\/span>>>>> mem;\n <span class=\"hljs-keyword\">int<\/span> mem_f_x, mem_f_y;\n <span class=\"hljs-keyword\">int<\/span> mem_i_x, mem_i_y;\n\n <span class=\"hljs-keyword\">int<\/span> sum = INT_MAX;\n <span class=\"hljs-keyword\">int<\/span> tmp;\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> x = <span class=\"hljs-number\">7<\/span>; x >= <span class=\"hljs-number\">0<\/span>; x--) {\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> y = <span class=\"hljs-number\">7<\/span>; y >= <span class=\"hljs-number\">0<\/span>; y--) {\n <span class=\"hljs-comment\">\/\/ \u8ba1\u7b97\u79fb\u52a8\u91cf<\/span>\n f = x % <span class=\"hljs-number\">4<\/span>;\n i = y % <span class=\"hljs-number\">4<\/span>;\n\n <span class=\"hljs-comment\">\/\/ \u8ba1\u7b97\u662f\u5426\u79fb\u52a8<\/span>\n f_move = x \/ <span class=\"hljs-number\">4<\/span>;\n i_move = y \/ <span class=\"hljs-number\">4<\/span>;\n\n <span class=\"hljs-comment\">\/\/ f_des:\u5f71\u54cd\u7684\u662f\u5f53\u524d\u9012\u5f52\uff0c\u5224\u65ad\u662f\u5426\u8fbe\u5230\u7ec8\u70b9<\/span>\n <span class=\"hljs-keyword\">if<\/span> (f_des)\n f_move = <span class=\"hljs-number\">0<\/span>;\n <span class=\"hljs-keyword\">if<\/span> (i_des)\n i_move = <span class=\"hljs-number\">0<\/span>;\n\n <span class=\"hljs-comment\">\/\/ \u8fc7\u6ee4\u5668<\/span>\n <span class=\"hljs-keyword\">bool<\/span> filter1 = <span class=\"hljs-number\">1<\/span> && ctrl == <span class=\"hljs-number\">1<\/span>;\n <span class=\"hljs-keyword\">bool<\/span> filter2 = <span class=\"hljs-number\">1<\/span> && ctrl == <span class=\"hljs-number\">1<\/span> && (MOVE[f][<span class=\"hljs-number\">0<\/span>] == <span class=\"hljs-number\">1<\/span>) && (MOVE[f][<span class=\"hljs-number\">1<\/span>] == <span class=\"hljs-number\">0<\/span>) &&\n (MOVE[i][<span class=\"hljs-number\">0<\/span>] == <span class=\"hljs-number\">1<\/span>) && (MOVE[i][<span class=\"hljs-number\">1<\/span>] == <span class=\"hljs-number\">0<\/span>);\n <span class=\"hljs-keyword\">bool<\/span> filter3 = <span class=\"hljs-number\">1<\/span> && ctrl == <span class=\"hljs-number\">2<\/span> && (MOVE[f][<span class=\"hljs-number\">0<\/span>] == <span class=\"hljs-number\">0<\/span>) && (MOVE[f][<span class=\"hljs-number\">1<\/span>] == <span class=\"hljs-number\">1<\/span>) &&\n (MOVE[i][<span class=\"hljs-number\">0<\/span>] == <span class=\"hljs-number\">0<\/span>) && (MOVE[i][<span class=\"hljs-number\">1<\/span>] == <span class=\"hljs-number\">-1<\/span>);\n <span class=\"hljs-comment\">\/\/ maps = filter1 && 1;<\/span>\n <span class=\"hljs-comment\">\/\/ validation = filter2 && 1;<\/span>\n\n <span class=\"hljs-comment\">\/\/ \u5224\u65ad\u662f\u5426\u649e\u5899or\u662f\u5426\u8d70\u8fc7<\/span>\n print(validation, prefix, <span class=\"hljs-string\">\"before valid:\"<\/span>, MOVE[f][<span class=\"hljs-number\">0<\/span>], MOVE[f][<span class=\"hljs-number\">1<\/span>],\n MOVE[i][<span class=\"hljs-number\">0<\/span>], MOVE[i][<span class=\"hljs-number\">1<\/span>]);\n <span class=\"hljs-keyword\">if<\/span> (!valid(f_move, i_move, f, i)) {\n print(validation, prefix, <span class=\"hljs-string\">\"invalild!\"<\/span>);\n <span class=\"hljs-keyword\">continue<\/span>;\n }\n print(validation, prefix, <span class=\"hljs-string\">\"valid!\"<\/span>);\n print(in_out, prefix, <span class=\"hljs-string\">\"in->\"<\/span>, MOVE[f][<span class=\"hljs-number\">0<\/span>], MOVE[f][<span class=\"hljs-number\">1<\/span>], MOVE[i][<span class=\"hljs-number\">0<\/span>],\n MOVE[i][<span class=\"hljs-number\">1<\/span>]);\n\n <span class=\"hljs-comment\">\/\/ \u8bb0\u5fc6MEM\uff0cMEM\u7528\u4e8e\u9632\u6b62\u5faa\u73af\uff0c\u7531\u4e8e\u540c\u5c42\u7ea7\u9012\u5f52\u4e0d\u540c\u5206\u652f\u53ef\u4ee5\u8d70\u540c\u4e00\u4e2a\u70b9\uff0c\u6240\u4ee5\u8981\u5b58\u50a8\u5f53\u524d\u5c42\u7ea7\u9012\u5f52\u7684\u8d70\u8fc7\u7684\u70b9<\/span>\n mem = MEM;\n\n <span class=\"hljs-comment\">\/\/ \u79fb\u52a8<\/span>\n mem_f_x = F_X, mem_f_y = F_Y, mem_i_x = I_X, mem_i_y = I_Y;\n move(f_move, i_move, f, i, sum);\n\n <span class=\"hljs-comment\">\/\/ \u9012\u5f52\u8ba1\u7b97\u6700\u5c0f\u503c<\/span>\n tmp = min_times(F_X, F_Y, I_X, I_Y, f_des, i_des);\n\n <span class=\"hljs-comment\">\/\/ \u5f97\u5230\u6700\u5c0f\u503c+\u56de\u6eaf<\/span>\n <span class=\"hljs-keyword\">if<\/span> (tmp == <span class=\"hljs-number\">0<\/span>) {\n F_X = mem_f_x, F_Y = mem_f_y, I_X = mem_i_x, I_Y = mem_i_y;\n MEM = mem;\n <span class=\"hljs-keyword\">continue<\/span>;\n } <span class=\"hljs-keyword\">else<\/span> <span class=\"hljs-keyword\">if<\/span> (tmp == <span class=\"hljs-number\">-1<\/span>)\n tmp = <span class=\"hljs-number\">0<\/span>;\n <span class=\"hljs-keyword\">if<\/span> (tmp > sum)\n <span class=\"hljs-keyword\">break<\/span>;\n sum = tmp + <span class=\"hljs-number\">1<\/span>;\n\n <span class=\"hljs-comment\">\/\/ \u8c03\u8bd5\u533a<\/span>\n print(_sum && filter1, sum);\n print(_sum && filter1, MOVE[f][<span class=\"hljs-number\">0<\/span>], MOVE[f][<span class=\"hljs-number\">1<\/span>], MOVE[i][<span class=\"hljs-number\">0<\/span>], MOVE[i][<span class=\"hljs-number\">1<\/span>]);\n\n F_X = mem_f_x, F_Y = mem_f_y, I_X = mem_i_x, I_Y = mem_i_y;\n MEM = mem;\n\n <span class=\"hljs-comment\">\/\/ \u5982\u679c\u53d1\u73b0\u5360\u7528X\u5219\u76f4\u63a5\u8df3\u51fa\u5f53\u524d\u9012\u5f52\u8c03\u7528\uff0c\u526a\u679d<\/span>\n <span class=\"hljs-keyword\">if<\/span> (f_des || i_des)\n x = <span class=\"hljs-number\">8<\/span>, y = <span class=\"hljs-number\">8<\/span>;\n }\n }\n <span class=\"hljs-keyword\">if<\/span> (sum == INT_MAX) {\n print(in_out, prefix, <span class=\"hljs-string\">\"out: return from fail\"<\/span>);\n ctrl--;\n <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-number\">0<\/span>;\n }\n print(in_out, prefix, <span class=\"hljs-string\">\"out: return from last\"<\/span>);\n ctrl--;\n f_des = <span class=\"hljs-number\">0<\/span>;\n i_des = <span class=\"hljs-number\">0<\/span>;\n <span class=\"hljs-keyword\">return<\/span> sum;\n }\n<\/div><\/code><\/pre>\n<ul>\n<li>\u8fd9\u662f\u5730\u56fe\uff1a<\/li>\n<\/ul>\n<pre class=\"hljs\"><code><div>#######\n#F#I###\n#.X.###\n#######\n<\/div><\/code><\/pre>\n<ul>\n<li>\u8fd9\u662f\u8c03\u8bd5\u4fe1\u606f\u8f93\u51fa\uff1a <img decoding=\"async\" src=\"https:\/\/www.tom-thu.cn\/wp-content\/uploads\/2026\/01\/1767344374-debug.png\" alt=\"debug\"><\/li>\n<li>\u627e\u5230\u95ee\u9898\u4e86\u5417\uff1f<\/li>\n<li>\u76f8\u4fe1\u73b0\u5728\u5df2\u7ecf\u8ff7\u7cca\u4e86\u5427\uff01\u6ca1\u5173\u7cfb\uff0c\u5f53\u65f6\u7684\u6211\u4e5f\u662f\u8fd9\u4e2a\u72b6\u6001\u3002\u6211\u4eec\u8bd5\u8bd5\u624b\u52a8\u63a8\u6f14\u4e00\u4e0b\uff1a<img decoding=\"async\" src=\"https:\/\/www.tom-thu.cn\/wp-content\/uploads\/2026\/01\/1767344376-mark.png\" alt=\"mark\"><\/li>\n<li>\u8bf6\uff0c\u4e3a\u5565\u5728\u7b2c\u4e8c\u5c42\u51fd\u6570\u8c03\u7528\u7684\u65f6\u5019\u706b\u5a03\u8fd8\u5f85\u5728(2,2)\u5440\uff1f\uff08\u52aa\u529b\u601d\u8003\uff09<\/li>\n<li>\u5f53\u4ece\u67d0\u4e2a\u5730\u65b9<code>return <\/code>\u7684\u65f6\u5019\uff0c\u706b\u5a03\u4f9d\u7136\u88ab\u201c\u7c98\u201d\u5728\u7ec8\u70b9X\u5904\u3002\u54e6\u54e6\u54e6\u54e6\u54e6\uff01\u4e5f\u5c31\u662f\u8bf4\uff0c\u4ece\u8fd9\u91cc\u9000\u51fa\u7684\u65f6\u5019\u7a0b\u5e8f\u6ca1\u6709\u6b63\u786e\u201c\u56de\u6eaf\u201d\uff01<\/li>\n<li>\uff08\u5c1d\u8bd5\u52aa\u529b\u68c0\u67e5<code>return <\/code>\u76f8\u5173\u8bed\u53e5\uff09\u54e6\u54e6\u54e6\u54e6\uff01\u4ece<code>if (sum == INT_MAX)<\/code>\u9000\u51fa\u7684\u65f6\u5019\uff0c\u7a0b\u5e8f\u6ca1\u6709\u91cd\u7f6e<code>i_des <\/code>\u548c``f_des```\uff01<\/li>\n<li>\u4fee\u6539\u5b8c\u8fd9\u4e2aBUG\u4e4b\u540e\uff0c\u7a0b\u5e8f\u5c31\u6b63\u5e38\u8fd0\u884c\u4e86\uff01<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 id=\"%E7%AC%AC%E4%BA%94%E7%AB%A0-%E4%BD%BF%E7%94%A8%E4%B8%80%E4%B8%AA%E6%8E%A2%E9%92%88\">\u7b2c\u4e94\u7ae0 \u4f7f\u7528\u4e00\u4e2a\u201c\u63a2\u9488\u201d<\/h2>\n<blockquote>\n<p><strong>\u624b\u52a8\u521b\u9020\u8fd0\u884c\u9519\u8bef\uff0c\u786e\u5b9a\u9519\u8bef\u4ee3\u7801\u4f4d\u7f6e<\/strong><\/p>\n<\/blockquote>\n<ul>\n<li>\n<p>\u8fd9\u4e2a\u65b9\u6cd5\u7684\u539f\u7406\u662f\u901a\u8fc7\u6545\u610f\u5236\u9020\u8fd0\u884c\u9519\u8bef\uff0c\u5bf9\u6bd4\u4fee\u6539\u524d\u548c\u4fee\u6539\u540e\u7684\u4ee3\u7801\u5404\u4e2a\u6d4b\u8bd5\u70b9\u6570\u636e\uff0c\u89c2\u5bdf\u662f\u5426\u6709\u6d4b\u8bd5\u70b9\u6570\u636e\u4ece\u7b54\u6848\u9519\u8bef\u53d8\u4e3a\u8fd0\u884c\u9519\u8bef<\/p>\n<\/li>\n<li>\n<p>\u8fd9\u4e2a\u65b9\u6cd5\u76f8\u5f53\u4e8e\u5728\u67d0\u4e00\u5904\u63d2\u5165\u4e00\u4e2a\u201c\u63a2\u9488\u201d\uff0c\u53bb\u63a2\u6d4b\u67d0\u4e00\u4e2a\u90e8\u5206\u7684\u4ee3\u7801\u662f\u5426\u6b63\u5e38\u5de5\u4f5c<\/p>\n<\/li>\n<li>\n<p>\u4e3a\u6b64\uff0c\u6211\u7f16\u5199\u4e86\u4e00\u4e2a\u540d\u4e3a <code>dumper()<\/code>\u7684\u51fd\u6570\uff0c\u7528\u4e8e\u6545\u610f\u5236\u9020\u8fd0\u884c\u9519\u8bef\uff0c\u5176\u539f\u7406\u4e3a\u6545\u610f\u521b\u9020\u6570\u7ec4\u8d8a\u754c<\/p>\n<pre class=\"hljs\"><code><div><span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">dumper<\/span><span class=\"hljs-params\">()<\/span> <\/span>{\n <span class=\"hljs-built_in\">vector<\/span><<span class=\"hljs-keyword\">int<\/span>> tmp;\n tmp[<span class=\"hljs-number\">5<\/span>] = <span class=\"hljs-number\">1<\/span>;\n}\n<\/div><\/code><\/pre>\n<\/li>\n<li>\n<p><strong>\u6ce8\uff1a\u8be5\u601d\u8def\u66f4\u597d\u7684\u65b9\u6cd5\u662f\u4f7f\u7528 <code>assert()<\/code>\u65ad\u8a00<\/strong><\/p>\n<\/li>\n<li>\n<p>\u4f8b\u9898\uff1a2593. \u8bed\u97f3\u4fe1\u53f7\u5904\u7406<\/p>\n<ul>\n<li>\u8fd9\u662f\u4e00\u9053\u5178\u578b\u7684\u53ef\u4ee5\u7528\u4e0a\u8ff0\u65b9\u6cd5\u5feb\u901f\u786e\u5b9a\u9519\u8bef\u4f4d\u7f6e\u7684\u9898\uff0c\u56e0\u4e3a\u8fd9\u9053\u9898\u6709\u660e\u663e\u76846\u4e2a\u4e0d\u540c\u7684\u72b6\u6001\uff0c\u5f53\u51fa\u73b0\u7b54\u6848\u9519\u8bef\u8bf4\u660e\u5176\u4e2d\u6709\u4e00\u4e9b\u72b6\u6001\u5904\u7406\u4e0d\u5f53\u3002\u6211\u4eec\u53ea\u9700\u8981\u4f9d\u6b21\u5728\u8fdb\u5165\u7279\u5b9a\u72b6\u6001\u524d\u52a0\u5165 <code>dumper()<\/code>\uff0c\u5c31\u53ef\u4ee5\u5feb\u901f\u5b9a\u4f4d\u51fa\u73b0\u95ee\u9898\u72b6\u6001\u5bf9\u5e94\u7684\u4ee3\u7801\u3002<\/li>\n<li>\u4ee3\u7801\uff1a<\/li>\n<\/ul>\n<pre class=\"hljs\"><code><div><span class=\"hljs-function\"><span class=\"hljs-keyword\">void<\/span> <span class=\"hljs-title\">execute<\/span><span class=\"hljs-params\">()<\/span> <\/span>{\n <span class=\"hljs-keyword\">int<\/span> op = samples % <span class=\"hljs-number\">6<\/span>;\n <span class=\"hljs-keyword\">if<\/span> (op == <span class=\"hljs-number\">0<\/span>) {\n audiodata.erase(audiodata.begin() + <span class=\"hljs-number\">1000<\/span>, audiodata.begin() + <span class=\"hljs-number\">3000<\/span>);\n samples -= <span class=\"hljs-number\">2000<\/span>;\n } <span class=\"hljs-keyword\">else<\/span> <span class=\"hljs-keyword\">if<\/span> (op == <span class=\"hljs-number\">1<\/span>) {\n <span class=\"hljs-keyword\">int<\/span> y = <span class=\"hljs-number\">0<\/span>;\n <span class=\"hljs-keyword\">int<\/span> sample = samples;\n <span class=\"hljs-keyword\">for<\/span> (<span class=\"hljs-keyword\">int<\/span> x = <span class=\"hljs-number\">0<\/span>; x < sample; x++) {\n <span class=\"hljs-keyword\">if<\/span> (audiodata[y] <= <span class=\"hljs-number\">800<\/span> && audiodata[y] >= <span class=\"hljs-number\">-800<\/span>) {\n audiodata.erase(audiodata.begin() + y);\n samples--;\n y--;\n }\n y++;\n }\n }\n...\n}\n<\/div><\/code><\/pre>\n<ul>\n<li>\u63d0\u4ea4\u4e0a\u8ff0\u4ee3\u7801\u4e4b\u540e\uff0c\u53d1\u73b0\u5bf9\u5e94\u7684\u201c\u7b54\u6848\u9519\u8bef\u201d\u7684\u6d4b\u8bd5\u70b9\u5168\u90e8\u53d8\u4e3a\u201c\u8fd0\u884c\u9519\u8bef\u201d\uff0c\u56e0\u6b64\u51fa\u9519\u7684\u4ee3\u7801 <code>len%6==0<\/code>\u7684\u90e8\u5206<\/li>\n<li>\u81ea\u5df1\u89c2\u5bdf\u4ee3\u7801\u540e\u53d1\u73b0\u4e86\u9519\u8bef\uff1a[1000,3000]\u4e00\u5171\u67092001\u4e2a\u6570\u636e\u70b9\uff0c\u800c\u975e2000\u4e2a<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u8be5\u65b9\u6cd5\u4e5f\u6709\u4e00\u79cd\u53d8\u5f0f\uff0c\u5c31\u662f\u6545\u610f\u5236\u9020\u7b54\u6848\u9519\u8bef\uff08\u901a\u5e38\u662f\u5148\u8f93\u51fa\uff0c\u7136\u540e\u63d0\u524d <code>return<\/code>\uff09\uff0c\u4ece\u800c\u7528\u4e8c\u5206\u6cd5\u6765\u627e\u5230\u51fa\u73b0\u201c\u8fd0\u884c\u9519\u8bef\u201d\u7684\u4ee3\u7801\u7247\u6bb5<\/p>\n<\/li>\n<\/ul>\n<p><strong>\u56e0\u65f6\u95f4\u6709\u9650\uff0c\u672c\u6587\u7684\u6821\u5bf9\u5de5\u4f5c\u96be\u514d\u5b58\u5728\u758f\u6f0f\u3002\u82e5\u60a8\u5728\u9605\u8bfb\u65f6\u53d1\u73b0\u4efb\u4f55\u95ee\u9898\uff0c\u6073\u8bf7\u901a\u8fc7\u5fae\u4fe1\u6216\u90ae\u7bb1\uff08ykx25@mails.tsinghua.edu.cn\uff09\u4e0e\u6211\u8054\u7cfb\u3002\u611f\u8c22\u60a8\u7684\u7406\u89e3\u4e0e\u5e2e\u52a9\uff01<\/strong><\/p>\n<p><\/body><br \/>\n<\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>publish.md \u7a0b\u5e8f\u8c03\u8bd5\u7ecf\u9a8c \u6587\u4e2d\u89c2\u70b9\u4ec5\u4f9b\u53c2\u8003\uff01 \u9605\u8bfb\u6307\u5357&\u6458\u8981 \u672c\u6587\u662f\u6211\u4ece\u8c03\u8bd5\u5b9e\u8df5\u4e2d\u6c89\u6dc0\u51fa\u7684\u4e00\u5957\u65b9\u6cd5,\u5305\u542b\u4e86\u8bbe\u8ba1\u3001\u8c03\u8bd5\u4fe1\u606f\u6253\u5370\u3001\u770b\u61c2OJ\u62a5\u9519\u4fe1\u606f\u7b49\u4e00\u7cfb\u5217\u7ecf\u9a8c\uff0c\u5e76\u9644\u6709\u53ef\u201c\u5373\u63d2\u5373\u7528\u201d\u7684\u81ea\u5236\u8c03\u8bd5\u5de5\u5177\u4ee3\u7801\u3002","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-19","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=\/wp\/v2\/posts\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=19"}],"version-history":[{"count":3,"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=\/wp\/v2\/posts\/19\/revisions"}],"predecessor-version":[{"id":37,"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=\/wp\/v2\/posts\/19\/revisions\/37"}],"wp:attachment":[{"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tom-thu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}