{"id":53787,"date":"2025-08-12T17:10:04","date_gmt":"2025-08-12T09:10:04","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/53787.html"},"modified":"2025-08-12T17:10:04","modified_gmt":"2025-08-12T09:10:04","slug":"p2899-usaco08jan-cell-phone-network-g-%e6%a0%91%e5%9e%8bdp","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/53787.html","title":{"rendered":"P2899 [USACO08JAN] Cell Phone Network G (\u6811\u578bdp)"},"content":{"rendered":"<p>\u6d4b\u8bd5\u94fe\u63a5<\/p>\n<h3>\u9898\u76ee\u63cf\u8ff0<\/h3>\n<p>Farmer John \u60f3\u8ba9\u4ed6\u7684\u6240\u6709\u725b\u7528\u4e0a\u624b\u673a\u4ee5\u4fbf\u76f8\u4e92\u4ea4\u6d41\u3002\u4ed6\u9700\u8981\u5efa\u7acb\u51e0\u5ea7\u4fe1\u53f7\u5854\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>       N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u5757\u8349\u5730\u4e2d\u3002\u5df2\u77e5\u4e0e\u4fe1\u53f7\u5854\u76f8\u90bb\u7684\u8349\u5730\u80fd\u6536\u5230\u4fe1\u53f7\u3002\u7ed9\u4f60 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>        \u2212<\/p>\n<p>        1<\/p>\n<p>       N-1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u4e2a\u8349\u5730 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>        A<\/p>\n<p>        ,<\/p>\n<p>        B<\/p>\n<p>        )<\/p>\n<p>       (A,B)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u7684\u76f8\u90bb\u5173\u7cfb&#xff0c;\u95ee&#xff1a;\u6700\u5c11\u9700\u8981\u5efa\u591a\u5c11\u4e2a\u4fe1\u53f7\u5854\u80fd\u5b9e\u73b0\u6240\u6709\u8349\u5730\u90fd\u6709\u4fe1\u53f7\u3002<\/p>\n<h3>\u8f93\u5165\u683c\u5f0f<\/h3>\n<p>\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>       1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u884c&#xff1a;\u4e00\u4e2a\u6574\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>       N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        2<\/p>\n<p>       2<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span> \u884c\u5230\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>       N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u884c&#xff1a;\u6bcf\u4e00\u884c\u4e24\u4e2a\u6574\u6570&#xff0c;\u7528\u7a7a\u683c\u5206\u9694&#xff0c;\u7ed9\u51fa\u4e00\u5bf9\u76f8\u90bb\u7684\u8349\u5730 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        A<\/p>\n<p>       A<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        B<\/p>\n<p>       B<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h3>\u8f93\u51fa\u683c\u5f0f<\/h3>\n<p>\u4e00\u4e2a\u6574\u6570&#xff0c;\u8868\u793a\u8981\u5b89\u88c5\u7684\u6700\u5c11\u4fe1\u53f7\u5854\u6570\u3002<\/p>\n<h3>\u8f93\u5165\u8f93\u51fa\u6837\u4f8b #1<\/h3>\n<h4>\u8f93\u5165 #1<\/h4>\n<p>5<br \/>\n1 3<br \/>\n5 2<br \/>\n4 3<br \/>\n3 5<\/p>\n<h4>\u8f93\u51fa #1<\/h4>\n<p>2<\/p>\n<h3>\u8bf4\u660e\/\u63d0\u793a<\/h3>\n<p>\u5bf9\u4e8e\u6240\u6709\u7684\u6570\u636e&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u2264<\/p>\n<p>        N<\/p>\n<p>        \u2264<\/p>\n<p>         10<\/p>\n<p>         4<\/p>\n<p>       1 \\\\leq N \\\\leq 10^4<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7804em;vertical-align: -0.136em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8193em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u2264<\/p>\n<p>        A<\/p>\n<p>        ,<\/p>\n<p>        B<\/p>\n<p>        \u2264<\/p>\n<p>        N<\/p>\n<p>       1 \\\\leq A,B \\\\leq N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7804em;vertical-align: -0.136em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        A<\/p>\n<p>        \u2260<\/p>\n<p>        B<\/p>\n<p>       A \\\\neq B<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\"><span class=\"mrel\"><span class=\"mord vbox\"><span class=\"thinbox\"><span class=\"rlap\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"inner\"><span class=\"mord\"><span class=\"mrel\">\ue020<\/span><\/span><\/span><span class=\"fix\"><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">&#061;<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h3>\u601d\u8def<\/h3>\n<p>\u4e0eleedcode968 \u76d1\u63a7\u4e8c\u53c9\u6811\u7684\u601d\u8def\u7c7b\u4f3c&#xff0c;\u8d2a\u5fc3&#043;\u6811\u578bdp&#xff0c;\u5206\u7c7b\u8ba8\u8bba<\/p>\n<h3>\u9898\u89e3<\/h3>\n<p>#include &lt;bits\/stdc&#043;&#043;.h&gt;<br \/>\nconst int N &#061; 1e4&#043;10;<br \/>\nusing namespace std;<br \/>\nvector&lt;int&gt;graph[N];<br \/>\nint ans&#061;0;<br \/>\nint n;<\/p>\n<p>int f(int u,int p)<br \/>\n{<br \/>\n    bool s0&#061; false;<br \/>\n    bool s2 &#061; false;<br \/>\n    for(auto v:graph[u])<br \/>\n    {<br \/>\n        if(v&#061;&#061;p)continue;<br \/>\n        int cs &#061; f(v,u);<br \/>\n        if(cs&#061;&#061;2)s2 &#061; true;<br \/>\n        else if(cs&#061;&#061;0)s0&#061;true;<br \/>\n    }<br \/>\n    if(s0)<br \/>\n    {<br \/>\n        ans&#043;&#043;;<br \/>\n        return 2;<br \/>\n    }<br \/>\n    if(s2)<br \/>\n    {<br \/>\n        return 1;<br \/>\n    }<br \/>\n    return 0;<br \/>\n}<\/p>\n<p>int main()<br \/>\n{<br \/>\n    cin&gt;&gt;n;<br \/>\n    for(int i&#061;1;i&lt;n;i&#043;&#043;)<br \/>\n    {<br \/>\n        int f,t;<br \/>\n        cin&gt;&gt;f&gt;&gt;t;<br \/>\n        graph[f].push_back(t);<br \/>\n        graph[t].push_back(f);<br \/>\n    }<br \/>\n    if(n&#061;&#061;1)<br \/>\n    {<br \/>\n        cout&lt;&lt;1&lt;&lt;endl;<br \/>\n        return 0;<br \/>\n    }<br \/>\n    if(f(1,0)&#061;&#061;0)ans&#043;&#043;;<br \/>\n    cout&lt;&lt;ans&lt;&lt;endl;<\/p>\n<p>    return 0;<br \/>\n}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb25\u6b21\u3002\u6d1b\u8c37 P2899 \u9898\u89e3<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[55,2865,3509,5478,5477],"topic":[],"class_list":["post-53787","post","type-post","status-publish","format-standard","hentry","category-server","tag-c","tag-2865","tag-3509","tag-dp","tag-5477"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>P2899 [USACO08JAN] Cell Phone Network G (\u6811\u578bdp) - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/53787.html\" 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