{"id":410,"date":"2017-03-24T16:04:54","date_gmt":"2017-03-24T08:04:54","guid":{"rendered":"http:\/\/kylelv.com\/?p=410"},"modified":"2018-01-02T12:13:18","modified_gmt":"2018-01-02T04:13:18","slug":"bzoj-2763-jloi2011%e9%a3%9e%e8%a1%8c%e8%b7%af%e7%ba%bf-%e5%88%86%e5%b1%82%e5%9b%be%e6%9c%80%e7%9f%ad%e8%b7%af","status":"publish","type":"post","link":"https:\/\/blog.kylelv.com\/?p=410","title":{"rendered":"bzoj 2763: [JLOI2011]\u98de\u884c\u8def\u7ebf  &#8212; \u5206\u5c42\u56fe\u6700\u77ed\u8def"},"content":{"rendered":"<p>&nbsp;<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_73 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69fdefb2646b8\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69fdefb2646b8\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#2763_JLOI2011%E9%A3%9E%E8%A1%8C%E8%B7%AF%E7%BA%BF\" title=\"2763: [JLOI2011]\u98de\u884c\u8def\u7ebf\">2763: [JLOI2011]\u98de\u884c\u8def\u7ebf<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#Description\" title=\"Description\">Description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#Input\" title=\"Input\">Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#Output\" title=\"Output\">Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#Sample_Input\" title=\"Sample Input\">Sample Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#Sample_Output\" title=\"Sample Output\">Sample Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#HINT\" title=\"HINT\">HINT<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/blog.kylelv.com\/?p=410\/#Source\" title=\"Source\">Source<\/a><\/li><\/ul><\/nav><\/div>\n<h2 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"2763_JLOI2011%E9%A3%9E%E8%A1%8C%E8%B7%AF%E7%BA%BF\"><\/span>2763: [JLOI2011]\u98de\u884c\u8def\u7ebf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: center;\">Time Limit:\u00a010 Sec\u00a0\u00a0Memory Limit:\u00a0128 MB<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Description\"><\/span>Description<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div>Alice\u548cBob\u73b0\u5728\u8981\u4e58\u98de\u673a\u65c5\u884c\uff0c\u4ed6\u4eec\u9009\u62e9\u4e86\u4e00\u5bb6\u76f8\u5bf9\u4fbf\u5b9c\u7684\u822a\u7a7a\u516c\u53f8\u3002\u8be5\u822a\u7a7a\u516c\u53f8\u4e00\u5171\u5728n\u4e2a\u57ce\u5e02\u8bbe\u6709\u4e1a\u52a1\uff0c\u8bbe\u8fd9\u4e9b\u57ce\u5e02\u5206\u522b\u6807\u8bb0\u4e3a0\u5230n-1\uff0c\u4e00\u5171\u6709m\u79cd\u822a\u7ebf\uff0c\u6bcf\u79cd\u822a\u7ebf\u8fde\u63a5\u4e24\u4e2a\u57ce\u5e02\uff0c\u5e76\u4e14\u822a\u7ebf\u6709\u4e00\u5b9a\u7684\u4ef7\u683c\u3002Alice\u548cBob\u73b0\u5728\u8981\u4ece\u4e00\u4e2a\u57ce\u5e02\u6cbf\u7740\u822a\u7ebf\u5230\u8fbe\u53e6\u4e00\u4e2a\u57ce\u5e02\uff0c\u9014\u4e2d\u53ef\u4ee5\u8fdb\u884c\u8f6c\u673a\u3002\u822a\u7a7a\u516c\u53f8\u5bf9\u4ed6\u4eec\u8fd9\u6b21\u65c5\u884c\u4e5f\u63a8\u51fa\u4f18\u60e0\uff0c\u4ed6\u4eec\u53ef\u4ee5\u514d\u8d39\u5728\u6700\u591ak\u79cd\u822a\u7ebf\u4e0a\u642d\u4e58\u98de\u673a\u3002\u90a3\u4e48Alice\u548cBob\u8fd9\u6b21\u51fa\u884c\u6700\u5c11\u82b1\u8d39\u591a\u5c11\uff1f<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Input\"><\/span>Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div>\u6570\u636e\u7684\u7b2c\u4e00\u884c\u6709\u4e09\u4e2a\u6574\u6570\uff0cn,m,k\uff0c\u5206\u522b\u8868\u793a\u57ce\u5e02\u6570\uff0c\u822a\u7ebf\u6570\u548c\u514d\u8d39\u4e58\u5750\u6b21\u6570\u3002<\/div>\n<div>\u7b2c\u4e8c\u884c\u6709\u4e24\u4e2a\u6574\u6570\uff0cs,t\uff0c\u5206\u522b\u8868\u793a\u4ed6\u4eec\u51fa\u884c\u7684\u8d77\u70b9\u57ce\u5e02\u7f16\u53f7\u548c\u7ec8\u70b9\u57ce\u5e02\u7f16\u53f7\u3002(0&lt;=s,t&lt;n)<\/div>\n<div>\u63a5\u4e0b\u6765\u6709m\u884c\uff0c\u6bcf\u884c\u4e09\u4e2a\u6574\u6570\uff0ca,b,c\uff0c\u8868\u793a\u5b58\u5728\u4e00\u79cd\u822a\u7ebf\uff0c\u80fd\u4ece\u57ce\u5e02a\u5230\u8fbe\u57ce\u5e02b\uff0c\u6216\u4ece\u57ce\u5e02b\u5230\u8fbe\u57ce\u5e02a\uff0c\u4ef7\u683c\u4e3ac\u3002(0&lt;=a,b&lt;n,a\u4e0eb\u4e0d\u76f8\u7b49\uff0c0&lt;=c&lt;=1000)<\/div>\n<div><\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Output\"><\/span>Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div><\/div>\n<div>\u53ea\u6709\u4e00\u884c\uff0c\u5305\u542b\u4e00\u4e2a\u6574\u6570\uff0c\u4e3a\u6700\u5c11\u82b1\u8d39\u3002<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Input\"><\/span>Sample Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">5 6 1<br \/>\n0 4<br \/>\n0 1 5<br \/>\n1 2 5<br \/>\n2 3 5<br \/>\n3 4 5<br \/>\n2 3 3<br \/>\n0 2 100<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Output\"><\/span>Sample Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">8<\/div>\n<h2><span class=\"ez-toc-section\" id=\"HINT\"><\/span>HINT<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<p>&nbsp;<\/p>\n<p>\u5bf9\u4e8e30%\u7684\u6570\u636e,2&lt;=n&lt;=50,1&lt;=m&lt;=300,k=0;<\/p>\n<p>\u5bf9\u4e8e50%\u7684\u6570\u636e,2&lt;=n&lt;=600,1&lt;=m&lt;=6000,0&lt;=k&lt;=1;<\/p>\n<p>\u5bf9\u4e8e100%\u7684\u6570\u636e,2&lt;=n&lt;=10000,1&lt;=m&lt;=50000,0&lt;=k&lt;=10.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Source\"><\/span>Source<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c06\u56fe\u62c6\u6210 k+1 \u5c42\uff0c\u7b2c i \u5c42\u4ee3\u8868\u5df2\u7528\u4e86 i \u6b21\u514d\u8d39\u7684\u60c5\u51b5\uff0c\u6bcf\u5c42\u5185\u6b63\u5e38\u5efa\u56fe\uff0c\u5e76\u5bf9\u4e8e\u6bcf\u6761\u7ebf\u8def\u7684\u4e24\u70b9\uff0c\u4ece\u4e0a\u4e00\u5c42\u5411\u4e0b\u4e00\u5c42\u5efa\u4e00\u6761\u6743\u503c\u4e3a\u96f6\u7684\u5355\u5411\u8fb9\uff0c\u8868\u793a\u8be5\u6761\u7ebf\u8def\u9009\u62e9\u514d\u8d39\uff0c\u8fd9\u6837\u4fdd\u8bc1\u4e0d\u53ef\u8fd4\u56de\u4e0a\u4e00\u5c42\uff0c\u4e14\u6700\u591a\u53ea\u80fd\u8d70 k \u6b21\u3002<\/p>\n<p>\u7136\u540e\u76f4\u63a5\u8dd1dijkstra<\/p>\n<p>\u5f53\u7136\u8fd9\u79cd\u65b9\u6cd5\u56fa\u7136\u53ef\u4ee5\u8fc7\uff0c\u4f46\u5f53 k \u503c\u53d8\u5927\u53c8\u5361\u5185\u5b58\u65f6\uff0c\u6211\u4eec\u5c31\u9700\u8981\u53e6\u4e00\u79cd\u5efa\u56fe\u65b9\u5f0f\u00a0<a href=\"http:\/\/www.cnblogs.com\/lkhll\/p\/6616146.html\" target=\"_blank\" rel=\"noopener\">http:\/\/www.cnblogs.com\/lkhll\/p\/6616146.html<\/a><\/p>\n<pre class=\"lang:c++ decode:true \">#include&lt;map&gt;\r\n#include&lt;cmath&gt;\r\n#include&lt;queue&gt;\r\n#include&lt;cstdio&gt;\r\n#include&lt;cstring&gt;\r\n#include&lt;iostream&gt;\r\n#include&lt;algorithm&gt;\r\nusing namespace std;\r\n#define ll long long\r\n#define N 1200010\r\n#define M 2400010\r\n#define pa pair&lt;int,int&gt;\r\ninline int read()\r\n{\r\n    int x=0,f=1;char ch=getchar();\r\n    while(ch&lt;'0'||ch&gt;'9'){if(ch=='-')f=-1;ch=getchar();}\r\n    while(ch&gt;='0'&amp;&amp;ch&lt;='9'){x=x*10+ch-'0';ch=getchar();}\r\n    return x*f;\r\n}\r\nint cnt,lj[N],fro[M],to[M],v[M];\r\ninline void add(int a,int b,int c){fro[++cnt]=lj[a];to[cnt]=b;v[cnt]=c;lj[a]=cnt;}\r\nint n,m,k,s,t,a,b,c;\r\nint dis[N];\r\nbool vs[N];\r\nvoid dijkstra()\r\n{\r\n    priority_queue&lt;pa,vector&lt;pa&gt;,greater&lt;pa&gt; &gt;q;\r\n    memset(dis,127,sizeof(dis));\r\n    dis[s]=0;\r\n    int u,et;\r\n    q.push(make_pair(0,s));\r\n    while(!q.empty())\r\n    {\r\n        u=q.top().second;q.pop();\r\n        if(vs[u]) continue;\r\n        vs[u]=1;\r\n        for(int i=lj[u];i;i=fro[i])\r\n        {\r\n            et=to[i];\r\n            if(dis[et]&gt;dis[u]+v[i])\r\n            {\r\n                dis[et]=dis[u]+v[i];\r\n                q.push(make_pair(dis[et],et));\r\n            }\r\n        }\r\n    }\r\n}\r\nint ans=2e9+7;\r\nint main()\r\n{\r\n    n=read();m=read();k=read();\r\n    s=read()+1;t=read()+1;\r\n    for(int i=1;i&lt;=m;i++)\r\n    {\r\n        a=read()+1;b=read()+1;c=read();\r\n        for(int j=0;j&lt;=k;j++)\r\n        {\r\n            add(a+j*n,b+j*n,c);\r\n            add(b+j*n,a+j*n,c);\r\n            if(j!=k)\r\n            {\r\n                add(a+j*n,b+(j+1)*n,0);\r\n                add(b+j*n,a+(j+1)*n,0);\r\n            }\r\n        }\r\n    }\r\n    dijkstra();\r\n    for(int i=0;i&lt;=k;i++) ans=min(ans,dis[t+i*n]);\r\n    printf(\"%d\\n\",ans);\r\n    return 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; 2763: [JLOI2011]\u98de\u884c\u8def\u7ebf Time Limit:\u00a010 Sec\u00a0\u00a0Memory  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[42,22],"class_list":["post-410","post","type-post","status-publish","format-standard","hentry","category-bzoj","tag-42","tag-22"],"_links":{"self":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/410","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=410"}],"version-history":[{"count":2,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/410\/revisions"}],"predecessor-version":[{"id":412,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/410\/revisions\/412"}],"wp:attachment":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=410"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=410"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=410"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}