{"id":387,"date":"2013-04-21T09:37:00","date_gmt":"2013-04-21T01:37:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/291"},"modified":"2013-04-21T09:37:00","modified_gmt":"2013-04-21T01:37:00","slug":"bzoj_1001_beijing2006_wolf_caught_a_rabbit_-_the_largest_circulation_of_the_dual_graph_shortest","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=387","title":{"rendered":"BZOJ 1001([BeiJing2006]\u72fc\u6293\u5154\u5b50-\u6700\u5927\u6d41\u8f6c\u5bf9\u5076\u56fe\u6700\u77ed\u8def)"},"content":{"rendered":"<p><center style=\"font-family:arial,verdana,helvetica,sans-serif; font-size:14px\"><\/p>\n<h2 style=\"color:blue\">1001: [BeiJing2006]\u72fc\u6293\u5154\u5b50<\/h2>\n<p><span class=\"green\">Time Limit:&nbsp;<\/span>15 Sec&nbsp;&nbsp;<span class=\"green\">Memory Limit:&nbsp;<\/span>162 MB<br \/>\n<span class=\"green\">Submit:&nbsp;<\/span>5779&nbsp;&nbsp;<span class=\"green\">Solved:&nbsp;<\/span>1297<br \/>\n[<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/submitpage.php?id=1001\" style=\"color:blue; text-decoration:initial\">Submit<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/problemstatus.php?id=1001\" style=\"color:blue; text-decoration:initial\">Status<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/bbs.php?id=1001\" style=\"color:blue; text-decoration:initial\">Discuss<\/a>]<\/center><\/p>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Description<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u73b0\u5728\u5c0f\u670b\u53cb\u4eec\u6700\u559c\u6b22\u7684&quot;\u559c\u7f8a\u7f8a\u4e0e\u7070\u592a\u72fc&quot;,\u8bdd\u8bf4\u7070\u592a\u72fc\u6293\u7f8a\u4e0d\u5230\uff0c\u4f46\u6293\u5154\u5b50\u8fd8\u662f\u6bd4\u8f83\u5728\u884c\u7684\uff0c\u800c\u4e14\u73b0\u5728\u7684\u5154\u5b50\u8fd8\u6bd4\u8f83\u7b28\uff0c\u5b83\u4eec\u53ea\u6709\u4e24\u4e2a\u7a9d\uff0c\u73b0\u5728\u4f60\u505a\u4e3a\u72fc\u738b\uff0c\u9762\u5bf9\u4e0b\u9762\u8fd9\u6837\u4e00\u4e2a\u7f51&#26684;\u7684\u5730\u5f62\uff1a<img decoding=\"async\" src=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1366519226_5900.png\" alt=\"\" \/>&nbsp;\u5de6\u4e0a\u89d2\u70b9\u4e3a(1,1),\u53f3\u4e0b\u89d2\u70b9\u4e3a(N,M)(\u4e0a\u56fe\u4e2dN=4,M=5).\u6709\u4ee5\u4e0b\u4e09\u79cd\u7c7b\u578b\u7684\u9053\u8def 1:(x,y)&lt;==&gt;(x&#43;1,y) 2:(x,y)&lt;==&gt;(x,y&#43;1) 3:(x,y)&lt;==&gt;(x&#43;1,y&#43;1)<br \/>\n \u9053\u8def\u4e0a\u7684\u6743&#20540;\u8868\u793a\u8fd9\u6761\u8def\u4e0a\u6700\u591a\u80fd\u591f\u901a\u8fc7\u7684\u5154\u5b50\u6570\uff0c\u9053\u8def\u662f\u65e0\u5411\u7684. \u5de6\u4e0a\u89d2\u548c\u53f3\u4e0b\u89d2\u4e3a\u5154\u5b50\u7684\u4e24\u4e2a\u7a9d\uff0c\u5f00\u59cb\u65f6\u6240\u6709\u7684\u5154\u5b50\u90fd\u805a\u96c6\u5728\u5de6\u4e0a\u89d2(1,1)\u7684\u7a9d\u91cc\uff0c\u73b0\u5728\u5b83\u4eec\u8981\u8dd1\u5230\u53f3\u4e0b\u89e3(N,M)\u7684\u7a9d\u4e2d\u53bb\uff0c\u72fc\u738b\u5f00\u59cb\u4f0f\u51fb\u8fd9\u4e9b\u5154\u5b50.\u5f53\u7136\u4e3a\u4e86\u4fdd\u9669\u8d77\u89c1\uff0c\u5982\u679c\u4e00\u6761\u9053\u8def\u4e0a\u6700\u591a\u901a\u8fc7\u7684\u5154\u5b50\u6570\u4e3aK\uff0c\u72fc\u738b\u9700\u8981\u5b89\u6392\u540c\u6837\u6570\u91cf\u7684K\u53ea\u72fc\uff0c\u624d\u80fd\u5b8c\u5168\u5c01\u9501\u8fd9\u6761\u9053\u8def\uff0c\u4f60\u9700\u8981\u5e2e\u52a9\u72fc\u738b\u5b89\u6392\u4e00\u4e2a\u4f0f\u51fb\u65b9\u6848\uff0c\u4f7f\u5f97\u5728\u5c06\u5154\u5b50\u4e00\u7f51\u6253\u5c3d\u7684\u524d\u63d0\u4e0b\uff0c\u53c2\u4e0e\u7684\u72fc\u7684\u6570\u91cf\u8981\u6700\u5c0f\u3002\u56e0\u4e3a\u72fc\u8fd8\u8981\u53bb\u627e\u559c\u7f8a\u7f8a\u9ebb\u70e6.<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Input<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u7b2c\u4e00\u884c\u4e3aN,M.\u8868\u793a\u7f51&#26684;\u7684\u5927\u5c0f\uff0cN,M\u5747\u5c0f\u4e8e\u7b49\u4e8e1000.\u63a5\u4e0b\u6765\u5206\u4e09\u90e8\u5206 \u7b2c\u4e00\u90e8\u5206\u5171N\u884c\uff0c\u6bcf\u884cM-1\u4e2a\u6570\uff0c\u8868\u793a\u6a2a\u5411\u9053\u8def\u7684\u6743&#20540;. \u7b2c\u4e8c\u90e8\u5206\u5171N-1\u884c\uff0c\u6bcf\u884cM\u4e2a\u6570\uff0c\u8868\u793a\u7eb5\u5411\u9053\u8def\u7684\u6743&#20540;. \u7b2c\u4e09\u90e8\u5206\u5171N-1\u884c\uff0c\u6bcf\u884cM-1\u4e2a\u6570\uff0c\u8868\u793a\u659c\u5411\u9053\u8def\u7684\u6743&#20540;. \u8f93\u5165\u6587\u4ef6\u4fdd\u8bc1\u4e0d\u8d85\u8fc710M<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Output<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u8f93\u51fa\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u53c2\u4e0e\u4f0f\u51fb\u7684\u72fc\u7684\u6700\u5c0f\u6570\u91cf.<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Input<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\">3 4<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n5 6 4<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n4 3 1<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n7 5 3<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n5 6 7 8<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n8 7 6 5<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n5 5 5<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n6 6 6<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Output<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\">14<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">\n<\/h2>\n<div><span style=\"font-size:14px\">\u672c\u9898\u662f\u6700\u5927\u6d41\u8f6c\u6700\u5c0f\u5272\u8f6c\u5bf9\u5076\u56fe\u6700\u77ed\u8def<\/span><\/div>\n<div><span style=\"font-size:14px\">\u63a8\u8350\u5468\u4e1c\u7684<a href=\"http:\/\/wenku.baidu.com\/view\/a10e0529bd64783e09122ba9.html\">\u300a\u6d45\u6790\u6700\u5927\u6700\u5c0f\u5b9a\u7406\u5728\u4fe1\u606f\u5b66\u7ade\u8d5b\u4e2d\u7684\u5e94\u7528\u300b<\/a><\/span><\/div>\n<div>\n<pre name=\"code\" class=\"cpp\">#include&lt;cstdlib&gt;\n#include&lt;cstdio&gt;\n#include&lt;iostream&gt;\n#include&lt;functional&gt;\n#include&lt;algorithm&gt;\n#include&lt;cstring&gt;\nusing namespace std;\n#define MAXN (999*999*2+2+10)\n#define MAXM (MAXN*3)\n#define For(i,n) for(int i=1;i&lt;=n;i++)\nint n,m,N,M,s,t,pre[MAXN]={0},edge[MAXM],next[MAXM],weight[MAXM],size=0;\nint no(int i,int j,int k){return (i-1)*2*M+j*2-(k^1);}\nvoid addedge(int u,int v,int w)\n{\n\tedge[++size]=v;\n\tweight[size]=w;\n\tnext[size]=pre[u];\n\tpre[u]=size;\n}\nvoid addedge2(int u,int v){int w;scanf(&quot;%d&quot;,&amp;w);addedge(u,v,w),addedge(v,u,w);}\nint q[MAXN*9],d[MAXN];\nvoid SPFA()\n{\n\tmemset(d,127,sizeof(d));d[s]=0;\n\tint head=1,tail=1;\n\tq[1]=s;\n\twhile (head&lt;=tail)\n\t{\n\t\tint now=q[head];\n\t\tfor (int p=pre[now];p;p=next[p])\n\t\t{\n\t\t\tint &amp;v=edge[p];\n\t\t\tif (d[now]+weight[p]&lt;d[v])\n\t\t\t{\n\t\t\t\td[v]=d[now]+weight[p];\n\t\t\t\tq[++tail]=v;\n\t\t\t}\n\t\t}\n\t\thead++;\n\t}\n}\nint main()\n{\n\/\/\tfreopen(&quot;bzoj1001.in&quot;,&quot;r&quot;,stdin);\n\tscanf(&quot;%d%d&quot;,&amp;n,&amp;m);\n\tN=n-1,M=m-1;\n\ts=N*M*2+1;t=s+1;\n\tFor(i,n) For(j,m-1)\n\t{\n\t\tif (i==1) addedge2(s,2*j);\n\t\telse if (i==n) addedge2(no(i-1,j,0),t);\n\t\telse addedge2(no(i,j,1),no(i-1,j,0));\n\t}\n\n\tFor(i,n-1) For(j,m)\n\t{\n\t\tif (j==1) addedge2(t,2*M*(i-1)+1);\n\t\telse if (j==m) addedge2(2*M*i,s);\n\t\telse addedge2(no(i,j-1,1),no(i,j,0));\n\t}\n\tFor(i,n-1) For(j,m-1) addedge2(no(i,j,0),no(i,j,1));\n\tSPFA();\n\tcout&lt;&lt;d[t]&lt;&lt;endl;\n\treturn 0;\n}<\/pre>\n<p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>1001: [BeiJing2006]\u72fc\u6293\u5154\u5b50 Time Limit:&nbsp;15 Sec&nbsp;&#038;n [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[73],"class_list":["post-387","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-dual_graph"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>BZOJ 1001([BeiJing2006]\u72fc\u6293\u5154\u5b50-\u6700\u5927\u6d41\u8f6c\u5bf9\u5076\u56fe\u6700\u77ed\u8def) - nike0good<\/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:\/\/nike0good.com\/?p=387\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"BZOJ 1001([BeiJing2006]\u72fc\u6293\u5154\u5b50-\u6700\u5927\u6d41\u8f6c\u5bf9\u5076\u56fe\u6700\u77ed\u8def) - nike0good\" \/>\n<meta property=\"og:description\" content=\"1001: [BeiJing2006]\u72fc\u6293\u5154\u5b50 Time Limit:&nbsp;15 Sec&nbsp;&amp;n [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=387\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-04-21T01:37:00+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1366519226_5900.png\" \/>\n<meta name=\"author\" content=\"nike0good\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"nike0good\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=387#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=387\"},\"author\":{\"name\":\"nike0good\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"headline\":\"BZOJ 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