{"id":85062,"date":"2026-07-26T23:17:45","date_gmt":"2026-07-26T15:17:45","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/85062.html"},"modified":"2026-07-26T23:17:45","modified_gmt":"2026-07-26T15:17:45","slug":"%e3%80%90%e7%ae%97%e6%b3%95%e9%a2%98%e6%94%bb%e7%95%a5%e3%80%91bfs-%e8%a7%a3%e5%86%b3floodfill-%e7%ae%97%e6%b3%95%e3%80%81%e6%9c%80%e7%9f%ad%e8%b7%af%e9%97%ae%e9%a2%98%e3%80%81%e5%a4%9a%e6%ba%90bfs","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/85062.html","title":{"rendered":"\u3010\u7b97\u6cd5\u9898\u653b\u7565\u3011BFS \u89e3\u51b3FloodFill \u7b97\u6cd5\u3001\u6700\u77ed\u8def\u95ee\u9898\u3001\u591a\u6e90BFS \u548c \u62d3\u6251\u6392\u5e8f"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>\u4e00\u3001BFS \u89e3\u51b3 FloodFill \u7b97\u6cd5<\/li>\n<li>\n<ul>\n<li>1. FloodFill \u7b97\u6cd5 \u7684\u7b80\u4ecb&#xff08;\u5982\u4f55\u7528BFS\u5b9e\u73b0&#xff09;<\/li>\n<li>2. \u56fe\u50cf\u6e32\u67d3&#xff08;\u5982\u4f55\u7528\u4ee3\u7801\u5b9e\u73b0BFS\u7684\u8fc7\u7a0b&#xff09;<\/li>\n<li>3. \u5c9b\u5c7f\u6570\u91cf<\/li>\n<li>4. \u7ec3\u4e60\u9898&#xff1a;\u5c9b\u5c7f\u7684\u6700\u5927\u9762\u79ef&#xff08;\u601d\u8def\u540c&#xff1a;\u5c9b\u5c7f\u6570\u91cf&#xff09;<\/li>\n<li>5. \u88ab\u56f4\u7ed5\u7684\u533a\u57df&#xff08;\u601d\u60f3&#xff1a;\u6b63\u96be\u5219\u53cd&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u3001BFS \u89e3\u51b3\u6700\u77ed\u8def\u95ee\u9898<\/li>\n<li>\n<ul>\n<li>1. BFS \u89e3\u51b3\u6700\u77ed\u8def\u95ee\u9898\u7684\u7b80\u4ecb&#xff08;\u542b\u89e3\u9898\u601d\u8def&#xff09;<\/li>\n<li>2. \u8ff7\u5bab\u4e2d\u79bb\u5165\u53e3\u6700\u8fd1\u7684\u51fa\u53e3<\/li>\n<li>3. \u6700\u5c0f\u57fa\u56e0\u53d8\u5316<\/li>\n<\/ul>\n<\/li>\n<li>\u4e09\u3001\u591a\u6e90BFS<\/li>\n<li>\n<ul>\n<li>1. \u591a\u6e90\u6700\u77ed\u8def\u95ee\u9898\u7684\u7b80\u4ecb<\/li>\n<li>2. 01 \u77e9\u9635<\/li>\n<li>3. \u98de\u5730\u7684\u6570\u91cf&#xff08;\u601d\u60f3&#xff1a;\u6b63\u96be\u5219\u53cd&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\u56db\u3001BFS \u89e3\u51b3\u62d3\u6251\u6392\u5e8f<\/li>\n<li>\n<ul>\n<li>1. \u62d3\u6251\u6392\u5e8f\u7b80\u4ecb<\/li>\n<li>2. \u8bfe\u7a0b\u8868&#xff08;\u7528\u6570\u636e\u7ed3\u6784\u5b9e\u73b0\u56fe&#xff0c;\u518d\u8fdb\u884c\u62d3\u6251\u6392\u5e8f&#xff09;<\/li>\n<li>3. \u8bfe\u7a0b\u8868 II<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h2>\u4e00\u3001BFS \u89e3\u51b3 FloodFill \u7b97\u6cd5<\/h2>\n<h3>1. FloodFill \u7b97\u6cd5 \u7684\u7b80\u4ecb&#xff08;\u5982\u4f55\u7528BFS\u5b9e\u73b0&#xff09;<\/h3>\n<p>Flood Fill&#xff08;\u6cdb\u6d2a\u586b\u5145&#xff09; \u662f\u4e00\u79cd\u7ecf\u5178\u7684\u56fe\u50cf\u5904\u7406\u7b97\u6cd5&#xff0c;\u5176\u6838\u5fc3\u601d\u60f3\u975e\u5e38\u76f4\u89c2&#xff1a;\u4ece\u4e00\u4e2a\u8d77\u59cb\u70b9\u51fa\u53d1&#xff0c;\u5411\u56db\u5468\u6269\u6563&#xff0c;\u5c06\u4e0e\u8d77\u70b9\u989c\u8272\u76f8\u540c&#xff08;\u6216\u5728\u5bb9\u5dee\u8303\u56f4\u5185&#xff09;\u7684\u6240\u6709\u8fde\u901a\u533a\u57df\u5168\u90e8\u66ff\u6362\u4e3a\u65b0\u989c\u8272\u3002<\/p>\n<p>&#xff08;1&#xff09; \u6838\u5fc3\u539f\u7406\u4e0e\u8fde\u901a\u65b9\u5f0f<\/p>\n<p>\u7b97\u6cd5\u901a\u8fc7\u68c0\u67e5\u5f53\u524d\u50cf\u7d20\u7684\u4e0a\u4e0b\u5de6\u53f3&#xff08;\u6216\u516b\u4e2a\u65b9\u5411&#xff09;\u90bb\u5c45&#xff0c;\u5224\u65ad\u5176\u662f\u5426\u7b26\u5408\u586b\u5145\u6761\u4ef6\u3002\u5176\u8fde\u901a\u6027\u4e3b\u8981\u5206\u4e3a\u4e24\u79cd&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u56db\u8fde\u901a&#xff08;4-directional&#xff09;&#xff1a; \u53ea\u5411\u4e0a\u3001\u4e0b\u3001\u5de6\u3001\u53f3\u56db\u4e2a\u65b9\u5411\u6269\u6563\u3002\u7528\u4e8e\u9632\u6b62\u989c\u8272\u201c\u6e17\u900f\u201d\u8fc7\u4ec5\u5bf9\u89d2\u7ebf\u63a5\u89e6\u7684\u7f1d\u9699\u3002<\/p>\n<\/li>\n<li>\n<p>\u516b\u8fde\u901a&#xff08;8-directional&#xff09;&#xff1a; \u5411\u5468\u56f4\u516b\u4e2a\u65b9\u5411&#xff08;\u542b\u5bf9\u89d2\u7ebf&#xff09;\u6269\u6563\u3002\u586b\u5145\u66f4\u5f7b\u5e95&#xff0c;\u4f46\u53ef\u80fd\u4f1a\u201c\u7a7f\u8fc7\u201d\u4ec5\u5bf9\u89d2\u63a5\u89e6\u7684\u89d2\u843d\u3002<\/p>\n<\/li>\n<\/ul>\n<p>&#xff08;2&#xff09; \u5b9e\u73b0\u65b9\u5f0f&#xff1a;DFS \u4e0e BFS<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0\u4e0a&#xff0c;\u4e3b\u8981\u4f9d\u8d56\u4e24\u79cd\u641c\u7d22\u7b56\u7565&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u6df1\u5ea6\u4f18\u5148\u641c\u7d22&#xff08;DFS&#xff0c;\u5373\u9012\u5f52\/\u6808&#xff09;&#xff1a; \u4ee3\u7801\u6700\u7b80\u6d01&#xff08;\u9012\u5f52&#xff09;\u3002\u627e\u5230\u4e00\u4e2a\u70b9\u5c31\u7acb\u5373\u6df1\u5165\u5176\u90bb\u5c45&#xff0c;\u76f4\u5230\u5c3d\u5934\u518d\u56de\u6eaf\u3002<\/p>\n<ul>\n<li>\u7f3a\u70b9&#xff1a;\u5728\u586b\u5145\u8d85\u5927\u533a\u57df&#xff08;\u5982\u6570\u4e07\u50cf\u7d20&#xff09;\u65f6&#xff0c;\u9012\u5f52\u5c42\u6570\u8fc7\u6df1\u6781\u6613\u5bfc\u81f4\u6808\u6ea2\u51fa&#xff08;Stack Overflow&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22&#xff08;BFS&#xff0c;\u5373\u961f\u5217&#xff09;&#xff1a; \u4f7f\u7528\u961f\u5217\u7ba1\u7406\u5f85\u5904\u7406\u7684\u70b9\u3002\u4ece\u8d77\u70b9\u5f00\u59cb&#xff0c;\u9010\u5c42\u5411\u5916\u201c\u626b\u63cf\u201d\u3002<\/p>\n<ul>\n<li>\u4f18\u70b9&#xff1a;\u907f\u514d\u4e86\u9012\u5f52\u6df1\u5ea6\u9650\u5236&#xff0c;\u5904\u7406\u5927\u56fe\u50cf\u66f4\u5b89\u5168\u3001\u7a33\u5b9a\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151726-6a66250626fae.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>2. \u56fe\u50cf\u6e32\u67d3&#xff08;\u5982\u4f55\u7528\u4ee3\u7801\u5b9e\u73b0BFS\u7684\u8fc7\u7a0b&#xff09;<\/h3>\n<p>733. \u56fe\u50cf\u6e32\u67d3<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151727-6a662507918af.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u793a\u4f8b 1: <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151727-6a662507c1c6a.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;image &#061; [[1,1,1],[1,1,0],[1,0,1]]&#xff0c;sr &#061; 1, sc &#061; 1, color &#061; 2<\/li>\n<li>\u8f93\u51fa&#xff1a;[[2,2,2],[2,2,0],[2,0,1]]<\/li>\n<li>\u89e3\u91ca&#xff1a;\u5728\u56fe\u50cf\u7684\u6b63\u4e2d\u95f4&#xff0c;\u5750\u6807 (sr,sc)&#061;(1,1) &#xff08;\u5373\u7ea2\u8272\u50cf\u7d20&#xff09;,\u5728\u8def\u5f84\u4e0a\u6240\u6709\u7b26\u5408\u6761\u4ef6\u7684\u50cf\u7d20\u70b9\u7684\u989c\u8272\u90fd\u88ab\u66f4\u6539\u6210\u76f8\u540c\u7684\u65b0\u989c\u8272&#xff08;\u5373\u84dd\u8272\u50cf\u7d20&#xff09;\u3002 \u6ce8\u610f&#xff0c;\u53f3\u4e0b\u89d2\u7684\u50cf\u7d20 \u6ca1\u6709\u66f4\u6539\u4e3a2&#xff0c;\u56e0\u4e3a\u5b83\u4e0d\u662f\u5728\u4e0a\u4e0b\u5de6\u53f3\u56db\u4e2a\u65b9\u5411\u4e0a\u4e0e\u521d\u59cb\u70b9\u76f8\u8fde\u7684\u50cf\u7d20\u70b9\u3002<\/li>\n<\/ul>\n<p>\u793a\u4f8b 2:<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;image &#061; [[0,0,0],[0,0,0]], sr &#061; 0, sc &#061; 0, color &#061; 0<\/li>\n<li>\u8f93\u51fa&#xff1a;[[0,0,0],[0,0,0]]<\/li>\n<li>\u89e3\u91ca&#xff1a;\u521d\u59cb\u50cf\u7d20\u5df2\u7ecf\u7528 0 \u7740\u8272&#xff0c;\u8fd9\u4e0e\u76ee\u6807\u989c\u8272\u76f8\u540c\u3002\u56e0\u6b64&#xff0c;\u4e0d\u4f1a\u5bf9\u56fe\u50cf\u8fdb\u884c\u4efb\u4f55\u66f4\u6539\u3002<\/li>\n<\/ul>\n<p>\u63d0\u793a:<\/p>\n<ul>\n<li>m &#061;&#061; image.length<\/li>\n<li>n &#061;&#061; image[i].length<\/li>\n<li>1 &lt;&#061; m, n &lt;&#061; 50<\/li>\n<li>0 &lt;&#061; image[i][j], color &lt; 216<\/li>\n<li>0 &lt;&#061; sr &lt; m<\/li>\n<li>0 &lt;&#061; sc &lt; n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151727-6a662507d379d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> in_x<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> in_y<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token function\">floodFill<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> image<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> sr<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> sc<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> color<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> img_x <span class=\"token operator\">&#061;<\/span> image<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> img_y <span class=\"token operator\">&#061;<\/span> image<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> init_color <span class=\"token operator\">&#061;<\/span> image<span class=\"token punctuation\">[<\/span>sr<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>sc<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>init_color <span class=\"token operator\">&#061;&#061;<\/span> color<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> image<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5b58\u50a8\u5143\u7d20\u4e0b\u6807\u7684 \u6570\u5217<\/span><br \/>\n        queue<span class=\"token operator\">&lt;<\/span> pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token operator\">&gt;<\/span> que_index<span class=\"token punctuation\">;<\/span><\/p>\n<p>        que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>sr<span class=\"token punctuation\">,<\/span> sc<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        image<span class=\"token punctuation\">[<\/span>sr<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>sc<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> color<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5faa\u73af\u8fdb\u884c BFS\u641c\u7d22<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> pa_xy <span class=\"token operator\">&#061;<\/span> que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>first <span class=\"token operator\">&#043;<\/span> in_x<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> y <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#043;<\/span> in_y<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> x <span class=\"token operator\">&lt;<\/span> img_x <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&lt;<\/span> img_y <span class=\"token operator\">&amp;&amp;<\/span> image<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> init_color<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    image<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> color<span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> image<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h3>3. \u5c9b\u5c7f\u6570\u91cf<\/h3>\n<p>200. \u5c9b\u5c7f\u6570\u91cf<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151730-6a66250a3298a.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u793a\u4f8b 1&#xff1a;<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a; grid &#061; [ [\u20181\u2019,\u20181\u2019,\u20181\u2019,\u20181\u2019,\u20180\u2019], [\u20181\u2019,\u20181\u2019,\u20180\u2019,\u20181\u2019,\u20180\u2019], [\u20181\u2019,\u20181\u2019,\u20180\u2019,\u20180\u2019,\u20180\u2019], [\u20180\u2019,\u20180\u2019,\u20180\u2019,\u20180\u2019,\u20180\u2019] ]<\/li>\n<li>\u8f93\u51fa&#xff1a;1<\/li>\n<\/ul>\n<p>\u793a\u4f8b 2&#xff1a;<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a; grid &#061; [ [\u20181\u2019,\u20181\u2019,\u20180\u2019,\u20180\u2019,\u20180\u2019], [\u20181\u2019,\u20181\u2019,\u20180\u2019,\u20180\u2019,\u20180\u2019], [\u20180\u2019,\u20180\u2019,\u20181\u2019,\u20180\u2019,\u20180\u2019], [\u20180\u2019,\u20180\u2019,\u20180\u2019,\u20181\u2019,\u20181\u2019] ]<\/li>\n<li>\u8f93\u51fa&#xff1a;3<\/li>\n<\/ul>\n<p>\u63d0\u793a&#xff1a;<\/p>\n<ul>\n<li>m &#061;&#061; grid.length<\/li>\n<li>n &#061;&#061; grid[i].length<\/li>\n<li>1 &lt;&#061; m, n &lt;&#061; 300<\/li>\n<li>grid[i][j] \u7684\u503c\u4e3a \u20180\u2019 \u6216 \u20181\u2019<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151730-6a66250a43a35.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u5b9e\u73b0&#xff08;\u91c7\u7528\u89e3\u6cd5\u4e00\u7684\u601d\u60f3&#xff09;&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dx<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dy<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> <span class=\"token function\">numIslands<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">char<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> grid<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> grid<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8bb0\u5f55\u5c9b\u5c7f\u6570\u91cf<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> count <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5b58\u50a8\u5143\u7d20\u4e0b\u6807\u7684 \u6570\u5217<\/span><br \/>\n        queue<span class=\"token operator\">&lt;<\/span> pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token operator\">&gt;<\/span> que_index<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> m<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token comment\">\/\/ \u53d1\u73b0 &#039;1&#039;, \u8fdb\u884cBFS&#xff0c;\u627e\u51fa&#039;1&#039; \u7684\u8fde\u901a\u5757&#xff0c;\u627e\u7684\u8fc7\u7a0b\u4e2d&#xff0c;\u5c06\u627e\u8fc7\u7684 &#039;1&#039; \u7f6e\u4e3a &#039;0&#039;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;1&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    count<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>i<span class=\"token punctuation\">,<\/span> j<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    grid<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token char\">&#039;0&#039;<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> pa_xy <span class=\"token operator\">&#061;<\/span> que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                        que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> k <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">;<\/span> k<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                        <span class=\"token punctuation\">{<\/span><br \/>\n                            <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>first <span class=\"token operator\">&#043;<\/span> dx<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                            <span class=\"token keyword\">int<\/span> y <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#043;<\/span> dy<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> x <span class=\"token operator\">&lt;<\/span> m <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&amp;&amp;<\/span> grid<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;1&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                            <span class=\"token punctuation\">{<\/span><br \/>\n                                que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                                grid<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token char\">&#039;0&#039;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                            <span class=\"token punctuation\">}<\/span><br \/>\n                        <span class=\"token punctuation\">}<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> count<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h3>4. \u7ec3\u4e60\u9898&#xff1a;\u5c9b\u5c7f\u7684\u6700\u5927\u9762\u79ef&#xff08;\u601d\u8def\u540c&#xff1a;\u5c9b\u5c7f\u6570\u91cf&#xff09;<\/h3>\n<p>695. \u5c9b\u5c7f\u7684\u6700\u5927\u9762\u79ef<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151732-6a66250cac105.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151733-6a66250d2b519.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>5. \u88ab\u56f4\u7ed5\u7684\u533a\u57df&#xff08;\u601d\u60f3&#xff1a;\u6b63\u96be\u5219\u53cd&#xff09;<\/h3>\n<p>130. \u88ab\u56f4\u7ed5\u7684\u533a\u57df<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151733-6a66250d70c5b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151733-6a66250daaa28.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dx<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dy<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">void<\/span> <span class=\"token function\">BFS<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">char<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> _board<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> _vec_bool<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> _i<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> _j<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> _board<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> _board<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        queue<span class=\"token operator\">&lt;<\/span>pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> que_index<span class=\"token punctuation\">;<\/span><br \/>\n        que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>_i<span class=\"token punctuation\">,<\/span> _j<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        _vec_bool<span class=\"token punctuation\">[<\/span>_i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>_j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> pa_xy <span class=\"token operator\">&#061;<\/span> que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>first <span class=\"token operator\">&#043;<\/span> dx<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> y <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#043;<\/span> dy<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> x <span class=\"token operator\">&lt;<\/span> m <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&amp;&amp;<\/span> _board<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;O&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> _vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    que_index<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    _vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">void<\/span> <span class=\"token function\">solve<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">char<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> board<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> board<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> board<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token function\">vec_bool<\/span><span class=\"token punctuation\">(<\/span>m<span class=\"token punctuation\">,<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5148\u5229\u2f64 bfs \u5c06\u4e0e\u8fb9\u7f18\u76f8\u8fde\u7684 &#039;0&#039; \u533a\u57df\u505a\u4e0a\u6807\u8bb0&#xff08;\u5c06\u5bf9\u5e94\u4f4d\u7f6e\u7684bool\u4fee\u6539\u4e3a 1&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> m<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>i <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> i <span class=\"token operator\">&#061;&#061;<\/span> m<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token comment\">\/\/ \u53ea\u6709\u7b2c\u4e00\u6392 \u548c \u6700\u540e\u4e00\u6392\u904d\u5386\u6574\u6392<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>board<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;O&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                        <span class=\"token function\">BFS<\/span><span class=\"token punctuation\">(<\/span>board<span class=\"token punctuation\">,<\/span> vec_bool<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">,<\/span> j<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> <span class=\"token comment\">\/\/ \u975e\u7b2c\u4e00\u6392 \u548c \u6700\u540e\u4e00\u6392\u53ea\u904d\u5386\u8be5\u6392\u9996\u5c3e\u5143\u7d20<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>board<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;O&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token function\">BFS<\/span><span class=\"token punctuation\">(<\/span>board<span class=\"token punctuation\">,<\/span> vec_bool<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>board<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;O&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token function\">BFS<\/span><span class=\"token punctuation\">(<\/span>board<span class=\"token punctuation\">,<\/span> vec_bool<span class=\"token punctuation\">,<\/span> i<span class=\"token punctuation\">,<\/span> n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5c06\u6ca1\u6709\u6807\u8bb0\u8fc7\u7684 &#039;0&#039;&#xff08;\u5bf9\u5e94\u4f4d\u7f6e\u7684bool\u503c\u4ecd\u7136\u662ffalse \u7684&#039;0&#039;&#xff09; \u4fee\u6539\u6210 &#039;X&#039; \u5373\u53ef<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> m<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>board<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;O&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    board<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token char\">&#039;X&#039;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>\u4e8c\u3001BFS \u89e3\u51b3\u6700\u77ed\u8def\u95ee\u9898<\/h2>\n<h3>1. BFS \u89e3\u51b3\u6700\u77ed\u8def\u95ee\u9898\u7684\u7b80\u4ecb&#xff08;\u542b\u89e3\u9898\u601d\u8def&#xff09;<\/h3>\n<p>\u9488\u5bf9\u8fb9\u6743\u5747\u4e3a1&#xff08;\u5373\u8fb9\u6743\u5168\u90fd\u76f8\u540c&#xff0c;\u6bcf\u4e24\u70b9\u95f4\u7684\u8ddd\u79bb\u90fd\u76f8\u540c&#xff09;\u7684\u6700\u77ed\u8def\u95ee\u9898&#xff0c;\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22&#xff08;BFS&#xff09; \u662f\u7edd\u5bf9\u6700\u4f18\u89e3\u3002\u4ee5\u4e0b\u662f\u5176\u6838\u5fc3\u7b80\u4ecb&#xff1a;<\/p>\n<p>&#xff08;1&#xff09; \u6838\u5fc3\u539f\u7406&#xff1a;\u961f\u5217\u4e0e\u201c\u6ce2\u7eb9\u6548\u5e94\u201d<\/p>\n<p>BFS \u5229\u7528\u961f\u5217&#xff08;FIFO&#xff09; \u7684\u5148\u8fdb\u5148\u51fa\u7279\u6027&#xff0c;\u4ece\u8d77\u70b9\u5f00\u59cb&#xff0c;\u50cf\u6c34\u6ce2\u4e00\u6837\u9010\u5c42\u5411\u5916\u6269\u6563\u3002<\/p>\n<ul>\n<li>\n<p>\u7b2c 1 \u5c42&#xff1a;\u8ddd\u79bb\u8d77\u70b9\u4e3a 1 \u7684\u6240\u6709\u8282\u70b9&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u7b2c 2 \u5c42&#xff1a;\u8ddd\u79bb\u8d77\u70b9\u4e3a 2 \u7684\u6240\u6709\u8282\u70b9&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u2026\u2026<\/p>\n<\/li>\n<\/ul>\n<p>\u7531\u4e8e\u961f\u5217\u4fdd\u8bc1\u4e86\u201c\u5148\u8bbf\u95ee\u5230\u7684\u8282\u70b9&#xff0c;\u5176\u8ddd\u79bb\u4e00\u5b9a\u4e0d\u5927\u4e8e\u540e\u8bbf\u95ee\u5230\u7684\u8282\u70b9\u201d&#xff0c;\u56e0\u6b64 \u5f53\u67d0\u4e2a\u8282\u70b9\u7b2c\u4e00\u6b21\u88ab\u8bbf\u95ee&#xff08;\u5165\u961f&#xff09;\u65f6&#xff0c;\u6240\u8d70\u7684\u8def\u5f84\u4e00\u5b9a\u662f\u4ece\u8d77\u70b9\u5230\u8be5\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84&#xff08;\u5373\u7b2c\u4e00\u6b21\u547d\u4e2d\u5373\u4e3a\u6700\u4f18\u89e3&#xff09;\u3002<\/p>\n<p>&#xff08;2&#xff09; \u5173\u952e\u6ce8\u610f\u4e8b\u9879&#xff08;\u907f\u5751\u6307\u5357&#xff09;<\/p>\n<p>\u5fc5\u987b\u5224\u91cd&#xff08;\u6807\u8bb0\u8bbf\u95ee&#xff09;&#xff1a;\u82e5\u4e0d\u52a0 \u54c8\u5e0c\u8868hash&#xff08;\u6216\u8005 \u5176\u5b83\u80fd\u7528\u6765\u6807\u8bb0\u8bbf\u95ee\u7684\u6570\u636e\u7ed3\u6784&#xff09;&#xff0c;\u8282\u70b9\u4f1a\u91cd\u590d\u5165\u961f&#xff0c;\u5bfc\u81f4\u6b7b\u5faa\u73af\u6216\u6307\u6570\u7ea7\u590d\u6742\u5ea6\u3002\u6807\u8bb0\u65f6\u673a\u5fc5\u987b\u662f\u5165\u961f\u65f6&#xff08;\u800c\u975e\u51fa\u961f\u65f6&#xff09;&#xff0c;\u5426\u5219\u540c\u4e00\u8282\u70b9\u53ef\u80fd\u88ab\u591a\u6b21\u5165\u961f&#xff0c;\u7834\u574f\u8ddd\u79bb\u6700\u77ed\u6027\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151734-6a66250e42604.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>2. \u8ff7\u5bab\u4e2d\u79bb\u5165\u53e3\u6700\u8fd1\u7684\u51fa\u53e3<\/h3>\n<p>1926. \u8ff7\u5bab\u4e2d\u79bb\u5165\u53e3\u6700\u8fd1\u7684\u51fa\u53e3<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151736-6a662510e5a21.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151737-6a662511151cb.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151737-6a66251187ed8.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151737-6a6625119facc.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dx<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dy<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> <span class=\"token function\">nearestExit<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">char<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> maze<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> entrance<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> maze<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> maze<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5b58\u50a8\u5143\u7d20\u4e0b\u6807\u7684\u6570\u5217<\/span><br \/>\n        queue<span class=\"token operator\">&lt;<\/span> pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token operator\">&gt;<\/span> que<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u6807\u8bb0\u8be5\u4f4d\u7f6e\u662f\u5426\u88ab\u641c\u7d22\u8fc7\u7684bool\u6570\u7ec4<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token function\">vec_bool<\/span><span class=\"token punctuation\">(<\/span>m<span class=\"token punctuation\">,<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u51c6\u5907\u9636\u6bb5<\/span><br \/>\n        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>entrance<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> entrance<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        vec_bool<span class=\"token punctuation\">[<\/span>entrance<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>entrance<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> number <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8bb0\u5f55BFS\u7684\u641c\u7d22\u8f6e\u6b21<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u8fdb\u884c\u591a\u8f6eBFS<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u8ba1\u7b97\u8be5\u8f6e \u8981\u8fdb\u884c\u51e0\u6b21BFS<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> count <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            number<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>count<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> pa_xy <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                que<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>first <span class=\"token operator\">&#043;<\/span> dx<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token keyword\">int<\/span> y <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#043;<\/span> dy<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> x <span class=\"token operator\">&lt;<\/span> m <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&amp;&amp;<\/span> maze<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;.&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        <span class=\"token comment\">\/\/ \u5230\u8fbe\u51fa\u53e3&#xff0c;\u8fd4\u56de\u6700\u77ed\u8def\u5f84&#xff08;\u4e5f\u5c31\u662fBFS\u8f6e\u6570&#xff09;<\/span><br \/>\n                        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> x <span class=\"token operator\">&#061;&#061;<\/span> m<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span> <span class=\"token operator\">||<\/span> y <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> y <span class=\"token operator\">&#061;&#061;<\/span> n<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                            <span class=\"token keyword\">return<\/span> number<span class=\"token punctuation\">;<\/span><br \/>\n                        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                        vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h3>3. \u6700\u5c0f\u57fa\u56e0\u53d8\u5316<\/h3>\n<p>433. \u6700\u5c0f\u57fa\u56e0\u53d8\u5316<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151740-6a66251466dd3.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151740-6a662514bf5c8.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token comment\">\/\/ \u6bd4\u8f83\u4e24\u4e2a\u5b57\u7b26\u4e32 \u662f\u5426\u53ea\u6709\u4e00\u4e2a\u5b57\u7b26\u7684\u5dee\u5f02<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> <span class=\"token function\">com_string<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> string <span class=\"token operator\">&amp;<\/span>str1<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> string <span class=\"token operator\">&amp;<\/span>str2<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> count <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>str1<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">!&#061;<\/span> str2<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                count<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>count <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> <span class=\"token function\">minMutation<\/span><span class=\"token punctuation\">(<\/span>string startGene<span class=\"token punctuation\">,<\/span> string endGene<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span>string<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> bank<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>startGene <span class=\"token operator\">&#061;&#061;<\/span> endGene<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> bank<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5b58\u50a8\u5b57\u7b26\u4e32\u7684 \u961f\u5217<\/span><br \/>\n        queue<span class=\"token operator\">&lt;<\/span>string<span class=\"token operator\">&gt;<\/span> que<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8bb0\u5f55\u57fa\u56e0\u5e93\u6bcf\u4e2a\u4f4d\u7f6e\u662f\u5426\u88ab\u641c\u7d22\u8fc7<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">vec_bool<\/span><span class=\"token punctuation\">(<\/span>m<span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5c06\u8d77\u59cb\u5b57\u7b26\u4e32 \u5165\u961f<\/span><br \/>\n        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>startGene<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8bb0\u5f55BFS\u7684\u8f6e\u6b21<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> number <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8fdb\u884c\u591a\u8f6eBFS<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            number<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u8ba1\u7b97\u8be5\u8f6e \u8981\u8fdb\u884c\u591a\u5c11\u6b21BFS<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> count <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>count<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                string tmp <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                que<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token comment\">\/\/ \u627e\u51fa\u6240\u6709\u57fa\u56e0\u5e93bank\u4e2d\u4e00\u6b21\u53d8\u6362\u80fd\u53d8\u6210\u7684 \u5b57\u7b26\u4e32<\/span><br \/>\n                <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> m<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token boolean\">false<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token function\">com_string<\/span><span class=\"token punctuation\">(<\/span>tmp<span class=\"token punctuation\">,<\/span> bank<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>bank<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> endGene<span class=\"token punctuation\">)<\/span> <span class=\"token comment\">\/\/ \u6700\u521d\u5b57\u7b26\u4e32\u53d8\u6362\u5230endGene\u65f6&#xff0c;BFS\u7684\u8f6e\u6b21\u5c31\u662f\u6700\u5c11\u53d8\u5316\u6b21\u6570<\/span><br \/>\n                            <span class=\"token keyword\">return<\/span> number<span class=\"token punctuation\">;<\/span><br \/>\n                        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>bank<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                        vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>\u4e09\u3001\u591a\u6e90BFS<\/h2>\n<h3>1. \u591a\u6e90\u6700\u77ed\u8def\u95ee\u9898\u7684\u7b80\u4ecb<\/h3>\n<p>\u9488\u5bf9\u8fb9\u6743\u5747\u4e3a1\u7684\u591a\u6e90\u6700\u77ed\u8def\u95ee\u9898&#xff08;\u5373\u6709\u591a\u4e2a\u8d77\u70b9&#xff09;&#xff0c;BFS \u540c\u6837\u662f\u6700\u4f18\u89e3\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u201c\u591a\u6e90\u5934\u540c\u65f6\u70b9\u706b\u201d\u3002<\/p>\n<p>&#xff08;1&#xff09; \u6838\u5fc3\u539f\u7406&#xff1a;\u865a\u62df\u8d85\u7ea7\u6e90\u70b9<\/p>\n<p>\u591a\u6e90 BFS \u4e0d\u9700\u8981\u5bf9\u6bcf\u4e2a\u8d77\u70b9\u5206\u522b\u8dd1\u4e00\u6b21 BFS&#xff08;\u90a3\u6837\u4f1a\u8d85\u65f6&#xff09;\u3002\u5b83\u7684\u6280\u5de7\u662f\u5728\u903b\u8f91\u4e0a\u521b\u5efa\u4e00\u4e2a\u201c\u865a\u62df\u8d85\u7ea7\u6e90\u70b9\u201d&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u5c06\u8fd9\u4e2a\u865a\u62df\u6e90\u70b9\u7528 0 \u6743\u503c\u7684\u8fb9\u8fde\u63a5\u5230\u6240\u6709\u771f\u5b9e\u7684\u8d77\u70b9\u3002<\/p>\n<\/li>\n<li>\n<p>\u4ece\u865a\u62df\u6e90\u70b9\u5f00\u59cb\u8dd1\u5355\u6e90 BFS\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u843d\u5b9e\u5230\u4ee3\u7801\u4e2d\u66f4\u7b80\u5355&#xff1a;\u521d\u59cb\u5316\u961f\u5217\u65f6&#xff0c;\u4e00\u6b21\u6027\u5c06\u6240\u6709\u8d77\u70b9\u5168\u90e8\u5165\u961f\u3002 \u8fd9\u6837&#xff0c;BFS \u7684\u201c\u6ce2\u7eb9\u201d\u4ece\u6240\u6709\u8d77\u70b9\u540c\u65f6\u5411\u5916\u6269\u6563&#xff0c;\u8c01\u5148\u6269\u6563\u5230\u67d0\u4e2a\u8282\u70b9&#xff0c;\u8be5\u8282\u70b9\u5230\u6700\u8fd1\u8d77\u70b9\u7684\u8ddd\u79bb\u5c31\u662f\u6700\u77ed\u7684\u3002<\/p>\n<p>&#xff08;2&#xff09; \u5173\u952e\u6ce8\u610f\u4e8b\u9879&#xff08;\u907f\u5751\u6307\u5357&#xff09;<\/p>\n<p>\u5fc5\u987b\u5224\u91cd&#xff08;\u6807\u8bb0\u8bbf\u95ee&#xff09;&#xff1a;\u82e5\u4e0d\u52a0 \u54c8\u5e0c\u8868hash&#xff08;\u6216\u8005 \u5176\u5b83\u80fd\u7528\u6765\u6807\u8bb0\u8bbf\u95ee\u7684\u6570\u636e\u7ed3\u6784&#xff09;&#xff0c;\u8282\u70b9\u4f1a\u91cd\u590d\u5165\u961f&#xff0c;\u5bfc\u81f4\u6b7b\u5faa\u73af\u6216\u6307\u6570\u7ea7\u590d\u6742\u5ea6\u3002\u6807\u8bb0\u65f6\u673a\u5fc5\u987b\u662f\u5165\u961f\u65f6&#xff08;\u800c\u975e\u51fa\u961f\u65f6&#xff09;&#xff0c;\u5426\u5219\u540c\u4e00\u8282\u70b9\u53ef\u80fd\u88ab\u591a\u6b21\u5165\u961f&#xff0c;\u7834\u574f\u8ddd\u79bb\u6700\u77ed\u6027\u3002<\/p>\n<h3>2. 01 \u77e9\u9635<\/h3>\n<p>542. 01 \u77e9\u9635<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151741-6a662515001a7.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151741-6a662515508f5.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726151742-6a6625162cf3e.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u793a\u4f8b&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dx<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dy<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token function\">updateMatrix<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> mat<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> mat<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> mat<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5b58\u50a8\u5143\u7d20\u4e0b\u6807\u7684\u961f\u5217<\/span><br \/>\n        queue<span class=\"token operator\">&lt;<\/span>pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> que<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u6807\u8bb0\u5143\u7d20\u4e3a1\u7684\u4f4d\u7f6e\u662f\u5426\u88ab\u641c\u7d22\u8fc7\u7684 bool\u6570\u7ec4<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token function\">vec_bool<\/span><span class=\"token punctuation\">(<\/span>m<span class=\"token punctuation\">,<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8bb0\u5f55\u6bcf\u4e2a\u4f4d\u7f6e\u5230\u6700\u8fd10\u7684\u8ddd\u79bb<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token function\">distance<\/span><span class=\"token punctuation\">(<\/span>m<span class=\"token punctuation\">,<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u904d\u5386\u6570\u7ec4&#xff0c;\u628a\u6240\u67090\u5143\u7d20\u7684\u4f4d\u7f6e\u5750\u6807\u5165\u961f\u5217<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> m<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>mat<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>i<span class=\"token punctuation\">,<\/span> j<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u8bb0\u5f55BFS\u7684\u8f6e\u6b21<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> number <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u8fdb\u884c\u591a\u8f6eBFS<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            number<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u8bb0\u5f55\u6b64\u8f6e \u8fdb\u884c\u591a\u5c11\u6b21BFS<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> count <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>count<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> pa_xy <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                que<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>first <span class=\"token operator\">&#043;<\/span> dx<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token keyword\">int<\/span> y <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#043;<\/span> dy<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> x <span class=\"token operator\">&lt;<\/span> m <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&amp;&amp;<\/span> mat<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&amp;&amp;<\/span>  vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                        vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                        distance<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> number<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u8be5\u8f6e\u627e\u5230\u7684\u5143\u7d201&#xff0c;\u5b83\u4eec\u5230\u6700\u8fd10\u7684\u8ddd\u79bb \u5c31\u662fBFS\u7684\u8f6e\u6b21<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> distance<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h3>3. \u98de\u5730\u7684\u6570\u91cf&#xff08;\u601d\u60f3&#xff1a;\u6b63\u96be\u5219\u53cd&#xff09;<\/h3>\n<p>1020. \u98de\u5730\u7684\u6570\u91cf<\/p>\n<p><img decoding=\"async\" src=\"2026-07-262viqhzasuio.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"2026-07-26f4lmhjin4k1.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u6f14\u793a&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dx<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> dy<span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> <span class=\"token function\">numEnclaves<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> grid<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> m <span class=\"token operator\">&#061;<\/span> grid<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> grid<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        queue<span class=\"token operator\">&lt;<\/span>pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> que<span class=\"token punctuation\">;<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;&gt;<\/span> <span class=\"token function\">vec_bool<\/span><span class=\"token punctuation\">(<\/span>m<span class=\"token punctuation\">,<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">bool<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ 1. \u628a\u8fb9\u7f18\u4e0a\u7684 1 \u52a0\u2f0a\u5230\u961f\u5217\u4e2d<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> m<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>i <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> i <span class=\"token operator\">&#061;&#061;<\/span> m <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">||<\/span> j <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">||<\/span> j <span class=\"token operator\">&#061;&#061;<\/span> n <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token punctuation\">{<\/span><br \/>\n                        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>i<span class=\"token punctuation\">,<\/span> j<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                        vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/  2. \u591a\u6e90 bfs&#xff08;\u5c06\u6240\u6709\u4e0e\u8fb9\u7f18 1 \u8054\u901a\u76841\u6807\u8bb0\u4e3atrue&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> pa_xy <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            que<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>first <span class=\"token operator\">&#043;<\/span> dx<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">int<\/span> y <span class=\"token operator\">&#061;<\/span> pa_xy<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#043;<\/span> dy<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> x <span class=\"token operator\">&lt;<\/span> m <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> y <span class=\"token operator\">&lt;<\/span> n <span class=\"token operator\">&amp;&amp;<\/span> grid<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&amp;&amp;<\/span> vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    vec_bool<span class=\"token punctuation\">[<\/span>x<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ 3. \u904d\u5386\u6570\u7ec4&#xff0c;\u7edf\u8ba1\u6240\u6709\u4e0d\u4e0e\u8fb9\u7f181 \u8054\u901a\u76841<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> number <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> m<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;<\/span> n<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>grid<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span> <span class=\"token operator\">&amp;&amp;<\/span> vec_bool<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    number<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> number<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h2>\u56db\u3001BFS \u89e3\u51b3\u62d3\u6251\u6392\u5e8f<\/h2>\n<h3>1. \u62d3\u6251\u6392\u5e8f\u7b80\u4ecb<\/h3>\n<p>&#xff08;1&#xff09; \u6709\u5411\u65e0\u73af\u56fe&#xff08;DAG\u56fe&#xff09;<\/p>\n<ul>\n<li>\n<p>\u5165\u5ea6&#xff08;\u5165\u5ea6 &#8211; Indegree&#xff09;&#xff1a; \u8fdb\u5165\u4e00\u4e2a\u9876\u70b9\u7684\u8fb9\u7684\u6570\u91cf\u3002\u5b83\u4ee3\u8868\u524d\u7f6e\u4f9d\u8d56\u9879\u7684\u6570\u91cf&#xff08;\u5728\u62d3\u6251\u6392\u5e8f\u4e2d&#xff0c;\u4f9d\u8d56\u9879\u5728\u4e4b\u524d\u5b8c\u6210&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u51fa\u5ea6&#xff08;\u51fa\u5ea6 &#8211; Outdegree&#xff09;&#xff1a; \u79bb\u5f00\u4e00\u4e2a\u9876\u70b9\u7684\u8fb9\u7684\u6570\u91cf\u3002\u5b83\u4ee3\u8868\u4f9d\u8d56\u4e8e\u5f53\u524d\u9876\u70b9\u7684\u540e\u7eed\u4efb\u52a1\u7684\u6570\u91cf\u3002<\/p>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"2026-07-26lw31th4z5tp.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>&#xff08;2&#xff09; AOV\u7f51&#xff08;Activity On Vertex Network&#xff0c;\u9876\u70b9\u8868\u793a\u6d3b\u52a8\u7684\u7f51\u7edc&#xff09;\u5c31\u662f\u4f60\u521a\u624d\u4e00\u76f4\u5728\u8ba8\u8bba\u7684\u62d3\u6251\u6392\u5e8f\u7684\u201c\u5e94\u7528\u8f7d\u4f53\u201d\u3002<\/p>\n<p>\u7b80\u5355\u6765\u8bf4&#xff1a;\u628a\u6709\u5411\u65e0\u73af\u56fe&#xff08;DAG&#xff09;\u7528\u4e8e\u63cf\u8ff0\u5de5\u7a0b\u6d41\u7a0b\u65f6&#xff0c;\u8fd9\u5f20\u56fe\u5c31\u53eb\u505a AOV \u7f51\u3002<\/p>\n<p><img decoding=\"async\" src=\"2026-07-26mc3uitc03pf.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4e3a\u4e86\u5e2e\u4f60\u5f7b\u5e95\u6253\u901a\u6982\u5ff5&#xff0c;\u6211\u4eec\u628a AOV \u7f51\u548c\u4e4b\u524d\u804a\u7684\u5165\u5ea6\/\u51fa\u5ea6\u3001\u62d3\u6251\u6392\u5e8f\u4e32\u5728\u4e00\u8d77&#xff1a;<\/p>\n<ul>\n<li>AOV \u7f51\u7684\u6838\u5fc3\u5b9a\u4e49&#xff08;\u6838\u5fc3\u7406\u5ff5&#xff09;<\/li>\n<\/ul>\n<p>\u9876\u70b9&#xff08;Vertex&#xff09;&#xff1a; \u8868\u793a\u4e00\u4e2a\u6d3b\u52a8&#xff08;Activity&#xff09;\u6216\u4efb\u52a1&#xff08;\u5982\u201c\u6253\u5730\u57fa\u201d\u3001\u201c\u5b89\u88c5\u95e8\u7a97\u201d&#xff09;\u3002<\/p>\n<p>\u6709\u5411\u8fb9&#xff08;Edge&#xff09;&#xff1a; \u8868\u793a\u6d3b\u52a8\u4e4b\u95f4\u7684\u5148\u540e\u4f9d\u8d56\u5173\u7cfb\u3002\u5982\u679c\u5b58\u5728\u8fb9 A \u2192 B&#xff0c;\u5c31\u610f\u5473\u7740 \u201cA \u5fc5\u987b\u5728 B \u4e4b\u524d\u5b8c\u6210\u201d\u3002<\/p>\n<p>\u6ce8\u610f&#xff1a; AOV \u7f51\u5fc5\u987b\u662f\u6709\u5411\u65e0\u73af\u56fe&#xff08;DAG&#xff09;\u3002\u4e00\u65e6\u51fa\u73b0\u73af&#xff0c;\u5c31\u610f\u5473\u7740\u6d3b\u52a8\u4e4b\u95f4\u4ea7\u751f\u4e86\u201c\u6b7b\u9501\u201d\u5f0f\u7684\u5faa\u73af\u4f9d\u8d56&#xff08;A\u7b49B&#xff0c;B\u7b49C&#xff0c;C\u7b49A&#xff09;&#xff0c;\u5de5\u7a0b\u6c38\u8fdc\u65e0\u6cd5\u5f00\u5de5\u3002<\/p>\n<ul>\n<li>\u5165\u5ea6\/\u51fa\u5ea6\u5728 AOV \u7f51\u4e2d\u7684\u201c\u5de5\u7a0b\u542b\u4e49\u201d<\/li>\n<\/ul>\n<p>\u628a\u62bd\u8c61\u7684\u56fe\u8bba\u672f\u8bed\u7ffb\u8bd1\u6210\u9879\u76ee\u7ba1\u7406\u7684\u8bed\u8a00&#xff0c;\u4f60\u4f1a\u77ac\u95f4\u660e\u767d\u5b83\u4eec\u7684\u5b9e\u9645\u4ef7\u503c&#xff1a;<\/p>\n<table>\n<tr>\u56fe\u8bba\u672f\u8bedAOV \u7f51\u4e2d\u7684\u5de5\u7a0b\u542b\u4e49\u5728\u9879\u76ee\u4e2d\u7684\u89d2\u8272<\/tr>\n<tbody>\n<tr>\n<td>\u5165\u5ea6&#xff08;Indegree&#xff09;<\/td>\n<td>\u8be5\u6d3b\u52a8\u7d27\u524d\u4efb\u52a1&#xff08;\u524d\u7f6e\u4f9d\u8d56&#xff09;\u7684\u6570\u91cf\u3002<\/td>\n<td>\u5165\u5ea6 &#061; 0 \u7684\u6d3b\u52a8&#xff0c;\u4ee3\u8868\u6ca1\u6709\u524d\u7f6e\u6761\u4ef6&#xff0c;\u53ef\u4ee5\u7acb\u5373\u5f00\u5de5&#xff08;\u5982\u9879\u76ee\u542f\u52a8\u4f1a&#xff09;\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u51fa\u5ea6&#xff08;Outdegree&#xff09;<\/td>\n<td>\u8be5\u6d3b\u52a8\u7d27\u540e\u4efb\u52a1&#xff08;\u540e\u7eed\u4f9d\u8d56&#xff09;\u7684\u6570\u91cf\u3002<\/td>\n<td>\u51fa\u5ea6 &#061; 0 \u7684\u6d3b\u52a8&#xff0c;\u4ee3\u8868\u6ca1\u6709\u540e\u7eed\u73af\u8282&#xff0c;\u662f\u6574\u4e2a\u9879\u76ee\u7684\u6536\u5c3e\u8282\u70b9&#xff08;\u5982\u9879\u76ee\u9a8c\u6536&#xff09;\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5728 Kahn \u7b97\u6cd5\u4e2d&#xff0c;\u6bcf\u5b8c\u6210\u4e00\u4e2a\u5165\u5ea6\u4e3a 0 \u7684\u6d3b\u52a8&#xff0c;\u5c31\u76f8\u5f53\u4e8e\u201c\u8be5\u6d3b\u52a8\u5df2\u5b8c\u5de5\u201d&#xff0c;\u6b64\u65f6\u5c06\u5b83\u6240\u6709\u540e\u7ee7\u6d3b\u52a8\u7684\u5165\u5ea6\u51cf 1&#xff08;\u8868\u793a\u89e3\u9664\u4e86\u5bf9\u540e\u7ee7\u6d3b\u52a8\u7684\u552f\u4e00\u963b\u788d&#xff09;\u3002<\/p>\n<p>&#xff08;3&#xff09;\u62d3\u6251\u6392\u5e8f<\/p>\n<p>\u627e\u51fa\u505a\u4e8b\u60c5\u7684\u5148\u540e\u987a\u5e8f&#xff0c;\u62d3\u6251\u6392\u5e8f\u7684\u7ed3\u679c\u53ef\u80fd\u4e0d\u662f\u552f\u4e00\u7684 \u62d3\u6251\u6392\u5e8f\u7684\u672c\u8d28&#xff0c;\u5c31\u662f\u5c06\u6709\u5411\u65e0\u73af\u56fe&#xff08;DAG&#xff09;\u4e2d\u7684\u6240\u6709\u9876\u70b9\u6392\u6210\u4e00\u4e2a\u7ebf\u6027\u5e8f\u5217<\/p>\n<ul>\n<li>\u5982\u4f55\u6392\u5e8f&#xff1f;\n<ul>\n<li>&#xff08;1&#xff09;\u627e\u51fa\u56fe\u4e2d\u5165\u5ea6\u4e3a 0 \u7684\u70b9&#xff0c;\u7136\u540e\u8f93\u51fa<\/li>\n<li>&#xff08;2&#xff09;\u5220\u9664\u4e0e\u8be5\u70b9\u8fde\u63a5\u7684\u8fb9<\/li>\n<li>&#xff08;3&#xff09;\u91cd\u590d 1\u30012 \u64cd\u4f5c&#xff0c;\u76f4\u5230\u56fe\u4e3a\u7a7a&#xff08;\u56fe\u4e2d\u6ca1\u6709\u70b9&#xff09; \u6216\u8005 \u56fe\u4e2d\u6ca1\u6709\u5165\u5ea6\u4e3a0\u7684\u70b9\u4e3a\u6b62&#xff08;\u56fe\u4e2d\u5b58\u5728\u73af&#xff09;<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"2026-07-26dqqqcvqicl2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>&#xff08;4&#xff09;\u62d3\u6251\u6392\u5e8f\u53ef\u4ee5\u7528\u6765\u68c0\u6d4b\u4e00\u4e2a\u6709\u5411\u56fe\u662f\u5426\u5b58\u5728\u73af&#xff08;\u6709\u73af\u7684\u8bdd&#xff0c;\u62d3\u6251\u6392\u5e8f\u5c31\u65e0\u6cd5\u5b8c\u6210&#xff09;<\/p>\n<p><img decoding=\"async\" src=\"2026-07-264ws0z2xamdb.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>2. \u8bfe\u7a0b\u8868&#xff08;\u7528\u6570\u636e\u7ed3\u6784\u5b9e\u73b0\u56fe&#xff0c;\u518d\u8fdb\u884c\u62d3\u6251\u6392\u5e8f&#xff09;<\/h3>\n<p>207. \u8bfe\u7a0b\u8868<\/p>\n<p><img decoding=\"async\" src=\"2026-07-26whbpd51yuei.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"2026-07-26isrek40xazr.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"2026-07-26y0resbp24ip.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> <span class=\"token function\">canFinish<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> numCourses<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> prerequisites<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ 1. \u5efa\u56fe<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#xff08;1&#xff09;\u90bb\u63a5\u8868&#xff08;key: \u8bfe\u7a0b ; value: key\u51fa\u5ea6\u6307\u5411\u7684\u6240\u6709\u8bfe\u7a0b&#xff09;<\/span><br \/>\n        unordered_map<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> edges<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#xff08;2&#xff09;\u8bb0\u5f55\u6bcf\u4e2a\u70b9\u7684\u5165\u5ea6\u6570\u91cf&#xff08;\u521d\u59cb\u6bcf\u4e2a\u70b9\u7684\u5165\u5ea6\u6570\u91cf\u4e3a0&#xff09;<\/span><br \/>\n        unordered_map<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> in<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> numCourses<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            in<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>i<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> it <span class=\"token operator\">:<\/span> prerequisites<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5047\u8bbe it\u4e3a[0, 1], \u4ee3\u88680 \u4f9d\u8d56 1&#xff0c;\u4e5f\u5c31\u662f1 -&gt; 0<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ 1\u8fd9\u4e2a\u70b9 \u51fa\u5ea6\u65b9\u5411\u7684\u8fb9\u6307\u54110<\/span><br \/>\n            <span class=\"token keyword\">auto<\/span> ret <span class=\"token operator\">&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">find<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>ret <span class=\"token operator\">&#061;&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> it<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><br \/>\n                ret<span class=\"token operator\">-&gt;<\/span>second<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ 0\u8fd9\u4e2a\u70b9\u7684\u5165\u5ea6&#043;1<\/span><br \/>\n            in<span class=\"token punctuation\">[<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ 2. \u8fdb\u884c\u62d3\u6251\u6392\u5e8f&#xff08;\u5224\u65ad\u6709\u6ca1\u6709\u73af&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> count <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u8bb0\u5f55BFS\u7684\u6b21\u6570<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5b58\u50a8\u5165\u5ea6\u4e3a0\u7684 \u8bfe\u7a0b<\/span><br \/>\n        queue<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> que<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> it <span class=\"token operator\">:<\/span> in<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5faa\u73af\u8fdb\u884cBFS<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            count<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u53d6\u51fa\u961f\u5934\u5143\u7d20<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            que<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ \u67e5\u90bb\u63a5\u8868&#xff0c;\u5c06\u4e0e\u961f\u5934\u5143\u7d20\u76f8\u8fde\u7684\u9876\u70b9\u7684\u5165\u5ea6-1<\/span><br \/>\n            <span class=\"token keyword\">auto<\/span> tmp_vec <span class=\"token operator\">&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">find<\/span><span class=\"token punctuation\">(<\/span>tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>tmp_vec <span class=\"token operator\">!&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> it <span class=\"token operator\">:<\/span> tmp_vec<span class=\"token operator\">-&gt;<\/span>second<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    in<span class=\"token punctuation\">[<\/span>it<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token comment\">\/\/ \u5224\u65ad\u76f8\u8fde\u7684\u9876\u70b9\u7684\u5165\u5ea6\u662f\u5426\u51cf\u62100\u4e86&#xff0c;<\/span><br \/>\n                    <span class=\"token comment\">\/\/ \u5982\u679c\u51cf\u6210 0&#xff0c;\u5c06\u76f8\u8fde\u7684\u9876\u70b9 \u5165\u961f\u5217<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>in<span class=\"token punctuation\">[<\/span>it<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ 3. \u5224\u65ad count \u7684\u6b21\u6570<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>count <span class=\"token operator\">&#061;&#061;<\/span> numCourses<span class=\"token punctuation\">)<\/span> <span class=\"token comment\">\/\/ \u5bf9numCourses\u95e8\u8bfe\u7a0b \u90fd\u8fdb\u884c\u4e86\u62d3\u6251\u6392\u5e8f<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">else<\/span>                    <span class=\"token comment\">\/\/ \u56fe\u4e2d\u5b58\u5728\u73af&#xff0c;\u65e0\u6cd5\u5bf9\u6240\u6709\u8bfe\u7a0b\u90fd\u8fdb\u884c\u62d3\u6251\u6392\u5e8f<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h3>3. \u8bfe\u7a0b\u8868 II<\/h3>\n<p>210. \u8bfe\u7a0b\u8868 II<\/p>\n<p><img decoding=\"async\" src=\"2026-07-26vzvfar4a4ur.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u4ee3\u7801\u89e3\u6790&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">findOrder<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> numCourses<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&amp;<\/span> prerequisites<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token comment\">\/\/ 1. \u5efa\u56fe<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#xff08;1&#xff09;\u90bb\u63a5\u8868&#xff08;key: \u8bfe\u7a0b ; value: key\u51fa\u5ea6\u6307\u5411\u7684\u6240\u6709\u8bfe\u7a0b&#xff09;<\/span><br \/>\n        unordered_map<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span> edges<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token comment\">\/\/ &#xff08;2&#xff09;\u8bb0\u5f55\u6bcf\u4e2a\u70b9\u7684\u5165\u5ea6\u6570\u91cf&#xff08;\u521d\u59cb\u6bcf\u4e2a\u70b9\u7684\u5165\u5ea6\u6570\u91cf\u4e3a0&#xff09;<\/span><br \/>\n        unordered_map<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> in<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> numCourses<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            in<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>i<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> it <span class=\"token operator\">:<\/span> prerequisites<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u5047\u8bbe it\u4e3a[0, 1], \u4ee3\u88680 \u4f9d\u8d56 1&#xff0c;\u4e5f\u5c31\u662f1 -&gt; 0<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ 1\u8fd9\u4e2a\u70b9 \u51fa\u5ea6\u65b9\u5411\u7684\u8fb9\u6307\u54110<\/span><br \/>\n            <span class=\"token keyword\">auto<\/span> ret <span class=\"token operator\">&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">find<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>ret <span class=\"token operator\">&#061;&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">{<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> it<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span><br \/>\n                ret<span class=\"token operator\">-&gt;<\/span>second<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ 0\u8fd9\u4e2a\u70b9\u7684\u5165\u5ea6&#043;1<\/span><br \/>\n            in<span class=\"token punctuation\">[<\/span>it<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ 2. \u8fdb\u884c\u62d3\u6251\u6392\u5e8f&#xff08;\u5224\u65ad\u6709\u6ca1\u6709\u73af&#xff09;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> count <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u8bb0\u5f55BFS\u7684\u6b21\u6570<\/span><br \/>\n        <span class=\"token comment\">\/\/ \u5b58\u50a8\u5165\u5ea6\u4e3a0\u7684 \u8bfe\u7a0b<\/span><br \/>\n        queue<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> que<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> it <span class=\"token operator\">:<\/span> in<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>second <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5b58\u50a8\u62d3\u6251\u6392\u5e8f\u7684\u7ed3\u679c<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> sort_result<span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ \u5faa\u73af\u8fdb\u884cBFS<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>que<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n            count<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token comment\">\/\/ \u53d6\u51fa\u961f\u5934\u5143\u7d20<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> tmp <span class=\"token operator\">&#061;<\/span> que<span class=\"token punctuation\">.<\/span><span class=\"token function\">front<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            que<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            sort_result<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>            <span class=\"token comment\">\/\/ \u67e5\u90bb\u63a5\u8868&#xff0c;\u5c06\u4e0e\u961f\u5934\u5143\u7d20\u76f8\u8fde\u7684\u9876\u70b9\u7684\u5165\u5ea6-1<\/span><br \/>\n            <span class=\"token keyword\">auto<\/span> tmp_vec <span class=\"token operator\">&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">find<\/span><span class=\"token punctuation\">(<\/span>tmp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>tmp_vec <span class=\"token operator\">!&#061;<\/span> edges<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> it <span class=\"token operator\">:<\/span> tmp_vec<span class=\"token operator\">-&gt;<\/span>second<span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token punctuation\">{<\/span><br \/>\n                    in<span class=\"token punctuation\">[<\/span>it<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                    <span class=\"token comment\">\/\/ \u5224\u65ad\u76f8\u8fde\u7684\u9876\u70b9\u7684\u5165\u5ea6\u662f\u5426\u51cf\u62100\u4e86&#xff0c;<\/span><br \/>\n                    <span class=\"token comment\">\/\/ \u5982\u679c\u51cf\u6210 0&#xff0c;\u5c06\u76f8\u8fde\u7684\u9876\u70b9 \u5165\u961f\u5217<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>in<span class=\"token punctuation\">[<\/span>it<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                        que<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\">\/\/ 3. \u5224\u65ad count \u7684\u6b21\u6570<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>count <span class=\"token operator\">&#061;&#061;<\/span> numCourses<span class=\"token punctuation\">)<\/span> <span class=\"token comment\">\/\/ \u5bf9numCourses\u95e8\u8bfe\u7a0b \u90fd\u8fdb\u884c\u4e86\u62d3\u6251\u6392\u5e8f<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> sort_result<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">else<\/span>                    <span class=\"token comment\">\/\/ \u56fe\u4e2d\u5b58\u5728\u73af&#xff0c;\u65e0\u6cd5\u5bf9\u6240\u6709\u8bfe\u7a0b\u90fd\u8fdb\u884c\u62d3\u6251\u6392\u5e8f<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token generic-function\"><span class=\"token function\">vector<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u76ee\u5f55\u4e00\u3001BFS \u89e3\u51b3 FloodFill \u7b97\u6cd51. 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