{"id":1107,"date":"2019-05-11T16:44:32","date_gmt":"2019-05-11T08:44:32","guid":{"rendered":"https:\/\/cf.mnihyc.com\/blog\/?p=1107"},"modified":"2020-02-09T02:53:14","modified_gmt":"2020-02-08T18:53:14","slug":"yzoj-p3924-ioi2011race","status":"publish","type":"post","link":"https:\/\/cf.mnihyc.com\/blog\/archives\/1107","title":{"rendered":"YZOJ P3924 [IOI2011]Race"},"content":{"rendered":"<h1 style=\"text-align: center;\">YZOJ P3924 [IOI2011]Race<\/h1>\n<p style=\"text-align: center;\">\u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB<\/p>\n<p style=\"text-align: center;\">\u96be\u5ea6\uff1a<span style=\"color: #ff6600;\">\\(7.0\\)<\/span><\/p>\n<ul>\n<li>\n<h3><strong>\u9898\u76ee\u63cf\u8ff0<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7ed9\u4e00\u68f5\u6811\uff0c\u6bcf\u6761\u8fb9\u6709\u6743\u3002<\/p>\n<p>\u6c42\u4e00\u6761\u7b80\u5355\u8def\u5f84\uff0c\u6743\u503c\u548c\u7b49\u4e8e \\(K\\) \uff0c\u4e14\u7ecf\u8fc7\u8fb9\u7684\u6570\u91cf\u6700\u5c0f\u3002<\/p>\n<p>\\(N \\leq 200000, K \\leq 1000000\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u5165\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u7b2c\u4e00\u884c \u4e24\u4e2a\u6574\u6570 \\(n\\)\uff0c\\(k\\) \u3002<\/p>\n<p>\u7b2c \\(2\\)~\\(n\\) \u884c \u6bcf\u884c\u4e09\u4e2a\u6574\u6570\uff0c\u8868\u793a\u4e00\u6761\u65e0\u5411\u8fb9\u7684\u4e24\u7aef\u548c\u6743\u503c\uff08\u6ce8\u610f\u70b9\u7684\u7f16\u53f7\u4ece \\(0\\) \u5f00\u59cb\uff09\u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u8f93\u51fa\u683c\u5f0f<\/strong><\/h3>\n<\/li>\n<\/ul>\n<p>\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u6700\u5c0f\u8fb9\u6570\u91cf\u3002<\/p>\n<p>\u5982\u679c\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u8def\u5f84\uff0c\u8f93\u51fa \\(-1\\) \u3002<\/p>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u5165<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"lang:default decode:true \">4 3\r\n0 1 1\r\n1 2 2\r\n1 3 4<\/pre>\n<ul>\n<li>\n<h3><strong>\u6837\u4f8b\u8f93\u51fa<\/strong><\/h3>\n<\/li>\n<\/ul>\n<pre class=\"\">2<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Source: BZOJ 2599<\/p>\n<p><!--more--><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u56e0\u4e3a\u672c\u9898 \\(K\\) \u8f83\u5c0f\uff0c\u6240\u4ee5\u53ef\u80fd\u4f1a\u6709\u5176\u4ed6\u505a\u6cd5\u3002<\/p>\n<p>\u8bb0 \\(ans_i\\) \u4e3a\u6ee1\u8db3\u6761\u4ef6\uff08\u6743\u503c\u548c\u4e3a \\(K\\)\uff09\uff0c\u5e76\u4e14\u7ecf\u8fc7\u8fb9\u6570\u4e3a \\(i\\) \u7684\u70b9\u5bf9\u7684\u4e2a\u6570\u3002<\/p>\n<p>\u6b63\u8d21\u732e\u5c31\u662f \\(+1\\) \uff0c\u6d88\u53bb\u91cd\u590d\u7b54\u6848\u5c31\u662f \\(-1\\) \u3002<\/p>\n<p>\u7136\u540e\u5c31\u662f\u4e00\u4e2a\u88f8\u7684<strong>\u70b9\u5206\u6cbb<\/strong>\u3002<\/p>\n<p>\u4f7f\u7528\u53cc\u6307\u9488\u65f6\u6ce8\u610f\u6709 \\(0\\) \u8fb9\u6743\uff01\uff01\uff01<\/p>\n<p>&nbsp;<\/p>\n<pre class=\"lang:default decode:true \">#include &lt;cstdio&gt;\r\n#include &lt;cstdlib&gt;\r\n#include &lt;cstring&gt;\r\n#include &lt;climits&gt;\r\n#include &lt;algorithm&gt;\r\n\r\n#define _max(_a_,_b_) ((_a_)&gt;(_b_)?(_a_):(_b_))\r\n\r\n#ifdef ONLINE_JUDGE\r\n\tchar __B[1&lt;&lt;15],*__S=__B,*__T=__B;\r\n\t#define getchar() (__S==__T&amp;&amp;(__T=(__S=__B)+fread(__B,1,1&lt;&lt;15,stdin),__S==__T)?EOF:*__S++)\r\n#endif\r\ninline int getnum()\r\n{\r\n\tregister char c=0;\r\n\twhile(!(c&gt;='0' &amp;&amp; c&lt;='9'))\r\n\t\tc=getchar();\r\n\tregister int a=0;\r\n\twhile(c&gt;='0' &amp;&amp; c&lt;='9')\r\n\t\ta=a*10+c-'0',c=getchar();\r\n\treturn a;\r\n}\r\n\r\nint gcnt,ghead[205050],gnext[2050505],gnode[2050505],gval[2050505];\r\ninline void insertLine(register int s,register int t,const int&amp;val)\r\n{\r\n\tgnext[++gcnt]=ghead[s],ghead[s]=gcnt,gnode[gcnt]=t,gval[gcnt]=val;\r\n\tgnext[++gcnt]=ghead[t],ghead[t]=gcnt,gnode[gcnt]=s,gval[gcnt]=val;\r\n}\r\n\r\nint K;\r\nint root,mxsroot,asize,size[205050];\r\nbool vis[205050];\r\nvoid DFS_GetRoot(register int o,register int f)\r\n{\r\n\tsize[o]=1;\r\n\tregister int mxs=0;\r\n\tfor(register int j=ghead[o],t;j;j=gnext[j])\r\n\t\tif((t=gnode[j])!=f &amp;&amp; !vis[t])\r\n\t\t{\r\n\t\t\tDFS_GetRoot(t,o);\r\n\t\t\tsize[o]+=size[t];\r\n\t\t\tmxs=_max(mxs,size[t]);\r\n\t\t}\r\n\tmxs=_max(mxs,asize-size[o]);\r\n\tif(!root || mxs&lt;mxsroot)\r\n\t\tmxsroot=mxs,root=o;\r\n}\r\n\r\nint depth[205050],dist[205050],llst,lst[205050];\r\nvoid DFS_GetDepth(register int o,register int f)\r\n{\r\n\tlst[++llst]=o;\r\n\tfor(register int j=ghead[o],t;j;j=gnext[j])\r\n\t\tif((t=gnode[j])!=f &amp;&amp; !vis[t])\r\n\t\t{\r\n\t\t\tdepth[t]=depth[o]+gval[j],dist[t]=dist[o]+1;\r\n\t\t\tDFS_GetDepth(t,o);\r\n\t\t}\r\n}\r\n\r\nstruct _comp\r\n{\r\n\tbool operator () (const int&amp;a,const int&amp;b)\r\n\t{\r\n\t\treturn depth[a]&lt;depth[b];\r\n\t}\r\n};\r\n\r\nint ans[205050];\r\ninline void CalcAns(register int o,register int diff=0,register int delta=1)\r\n{\r\n\tdepth[o]=diff,dist[o]=(delta&lt;0);\r\n\tllst=0,DFS_GetDepth(o,0);\r\n\tstd::sort(&amp;lst[1],&amp;lst[llst+1],_comp());\r\n\tregister int l=1,r=llst;\r\n\twhile(l&lt;r)\r\n\t{\r\n\t\twhile(l&lt;r &amp;&amp; depth[lst[l]]+depth[lst[r]] &gt; K)\r\n\t\t\tr--;\r\n\t\tfor(register int j=r;depth[lst[l]]+depth[lst[j]]==K &amp;&amp; j&gt;l;j--)\r\n\t\t\tans[dist[lst[l]]+dist[lst[j]]]+=delta;\r\n\t\tl++;\r\n\t}\r\n}\r\n\r\nvoid DFS(register int o)\r\n{\r\n\tCalcAns(o);\r\n\tvis[o]=true;\r\n\tfor(register int j=ghead[o],t;j;j=gnext[j])\r\n\t\tif(!vis[t=gnode[j]])\r\n\t\t{\r\n\t\t\tCalcAns(t,gval[j],-1);\r\n\t\t\tasize=size[t],root=mxsroot=0,DFS_GetRoot(t,0);\r\n\t\t\tDFS(root);\r\n\t\t}\r\n}\r\n\r\nint main()\r\n{\r\n\tregister int N=getnum(),K=getnum();\r\n\t::K=K;\r\n\tfor(register int i=1;i&lt;=N-1;i++)\r\n\t{\r\n\t\tregister int a=getnum()+1,b=getnum()+1,v=getnum();\r\n\t\tinsertLine(a,b,v);\r\n\t}\r\n\t\r\n\tasize=N,root=mxsroot=0,DFS_GetRoot(1,0);\r\n\tDFS(root);\r\n\tfor(register int i=1;i&lt;=N;i++)\r\n\t\tif(ans[i])\r\n\t\t{\r\n\t\t\tprintf(\"%d\\n\",i);\r\n\t\t\treturn 0;\r\n\t\t}\r\n\tprintf(\"%d\\n\",-1);\r\n\t\r\n\treturn 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>YZOJ P3924 [IOI2011]Race \u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB &hellip; <a href=\"https:\/\/cf.mnihyc.com\/blog\/archives\/1107\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">YZOJ P3924 [IOI2011]Race<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37,81],"tags":[],"class_list":["post-1107","post","type-post","status-publish","format-standard","hentry","category-crazya","category-pointdivide"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>YZOJ P3924 [IOI2011]Race - mnihyc&#039;s Blog<\/title>\n<meta name=\"description\" content=\"YZOJ P3924 Race \u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u7ed9\u4e00\u68f5\u6811\uff0c\u6bcf\u6761\u8fb9\u6709\u6743\u3002 \u6c42\u4e00\u6761\u7b80\u5355\u8def\u5f84\uff0c\u6743\u503c\u548c\u7b49\u4e8e (K) \uff0c\u4e14\u7ecf\u8fc7\u8fb9\u7684\u6570\u91cf\u6700\u5c0f\u3002 (N leq 200000, K leq 1000000) \u3002 \u8f93\u5165\u683c\u5f0f \u7b2c\u4e00\u884c \u4e24\u4e2a\u6574\u6570\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/0.mnihyc.com\/blog\/archives\/1107\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"YZOJ P3924 [IOI2011]Race - mnihyc&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"YZOJ P3924 Race \u65f6\u95f4\u9650\u5236\uff1a2000MS \u00a0\u00a0\u00a0\u00a0 \u5185\u5b58\u9650\u5236\uff1a131072KB \u96be\u5ea6\uff1a \u9898\u76ee\u63cf\u8ff0 \u7ed9\u4e00\u68f5\u6811\uff0c\u6bcf\u6761\u8fb9\u6709\u6743\u3002 \u6c42\u4e00\u6761\u7b80\u5355\u8def\u5f84\uff0c\u6743\u503c\u548c\u7b49\u4e8e (K) \uff0c\u4e14\u7ecf\u8fc7\u8fb9\u7684\u6570\u91cf\u6700\u5c0f\u3002 (N leq 200000, K leq 1000000) \u3002 \u8f93\u5165\u683c\u5f0f \u7b2c\u4e00\u884c 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