{"id":505,"date":"2018-12-21T23:28:34","date_gmt":"2018-12-21T15:28:34","guid":{"rendered":"http:\/\/SmokeyDays.top\/wordpress\/?p=505"},"modified":"2018-12-21T23:34:28","modified_gmt":"2018-12-21T15:34:28","slug":"lp3386-%e4%ba%8c%e5%88%86%e5%9b%be%e6%9c%80%e5%a4%a7%e5%8c%b9%e9%85%8d","status":"publish","type":"post","link":"http:\/\/SmokeyDays.top\/wordpress\/2018\/12\/21\/lp3386-%e4%ba%8c%e5%88%86%e5%9b%be%e6%9c%80%e5%a4%a7%e5%8c%b9%e9%85%8d\/","title":{"rendered":"lp3386 \u4e8c\u5206\u56fe\u6700\u5927\u5339\u914d"},"content":{"rendered":"\n

\u4e00\u9053\u5308\u7259\u5229\u7b97\u6cd5\u7684\u6a21\u677f\u9898\u3002
\u5bf9\u4e8e\u4e00\u5f20\u4e8c\u5206\u56fe\\(G\\)\uff08\u4e5f\u5c31\u662f\u6ca1\u6709\u5947\u73af\u7684\u56fe\uff09\uff0c\u6211\u4eec\u5b9a\u4e49\u5b83\u7684\u300c\u5339\u914d\u300d\u4e3a\u4e00\u4e2a\u56fe\\(G'(V’,E’)\\)\uff0c\u4f7f\u5f97\uff1a
$$\\forall V” \\in V’,V”_{u}\\in E’,V”_{v}\\in E’,|E’|=2|V’|$$
\u6211\u4eec\u79f0\u4e00\u4e2a\u5339\u914d\u662f\u6700\u5927\u5339\u914d\uff0c\u5f53\u4e14\u4ec5\u5f53\u5b83\u662f\u4e00\u4e2a\u8fb9\u6570\u6700\u591a\u7684\u5339\u914d\u3002<\/p>\n\n\n\n

\u5308\u7259\u5229\u7b97\u6cd5\u662f\u7528\u4e8e\u6c42\u89e3\u6700\u5927\u5339\u914d\u7684\u4e00\u7c7b\u95ee\u9898\u3002
\n\u5308\u7259\u5229\u7b97\u6cd5\u4f7f\u7528\u4e86\u4e00\u79cd\u88ab\u79f0\u4e3a\u300c\u589e\u5e7f\u300d\u7684\u64cd\u4f5c\u3002
\n\u6211\u4eec\u9996\u5148\u5b9a\u4e49\u4e00\u6761\u589e\u5e7f\u8def\u5f84\u6307\u7684\u662f\u4e00\u5f20\u4e8c\u5206\u56fe\u4e0a\u7684\u8def\u5f84\uff0c\u4f7f\u5f97\u8fd9\u6761\u8def\u5f84\u7684\u8d77\u70b9\u548c\u7ec8\u70b9\u90fd\u662f\u5c1a\u672a\u5339\u914d\u7684\u70b9\uff0c\u5e76\u4e14\u5b83\u7684\u8def\u5f84\u4e0a\u7ecf\u8fc7\u7684\u6240\u6709\u70b9\u90fd\u662f\u5df2\u7ecf\u5339\u914d\u8fc7\u7684\u70b9\u3002
\n\u90a3\u4e48\u5f88\u5bb9\u6613\u53ef\u4ee5\u53d1\u73b0\uff0c\u4e00\u6761\u589e\u5e7f\u8def\u5f84\u4e0a\u7684\u8fb9\u5fc5\u7136\u662f\u300c\u4e00\u6761\u5df2\u5339\u914d\u4e00\u6761\u672a\u5339\u914d\u300d\u7684\u3002
\n\u4e8e\u662f\uff0c\u6211\u4eec\u5bf9\u589e\u5e7f\u8def\u5f84\u4e0a\u7684\u6240\u6709\u8fb9\u7684\u5339\u914d\u72b6\u6001\u53d6\u53cd\uff0c\u5c31\u53ef\u4ee5\u589e\u52a0\u5339\u914d\u6570\u91cf\u7684\u5927\u5c0f\u3002
\n\u589e\u5e7f\u64cd\u4f5c\u662f\u6307\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u70b9\uff0c\u5c1d\u8bd5\u8bbf\u95ee\u5b83\u7684\u6bcf\u4e00\u4e2a\u76f8\u90bb\u70b9\uff0c\u7136\u540e\u4ece\u8fd9\u4e2a\u76f8\u90bb\u70b9\u627e\u4e0b\u53bb\uff0c\u76f4\u5230\u80fd\u627e\u5230\u4e00\u6761\u589e\u5e7f\u8def\u5f84\u4e3a\u6b62\u3002\u7136\u540e\u5c06\u8fd9\u6761\u589e\u5e7f\u8def\u5f84\u4e0a\u6240\u6709\u8fb9\u5339\u914d\u72b6\u6001\u53d6\u53cd\u3002
\n\u6545\u800c\uff0c\u6bcf\u4e00\u6b21\u65b0\u52a0\u5165\u4e00\u4e2a\u70b9\uff0c\u6211\u4eec\u5c1d\u8bd5\u4e00\u6b21\u589e\u5e7f\u3002\u8fd9\u6837\u5c31\u80fd\u591f\u627e\u5230\u6700\u5927\u5339\u914d\u4e86\u3002 <\/p>\n\n\n\n

#include<iostream>\n#include<cstdio>\n\nint mp[1005][1005];\nbool vis[1005];\nint n,m,q,usd[1005];\ninline bool dfs(int X){\n\tfor(int i=1;i<=m;++i){\n\t\tif(!mp[X][i]){\n\t\t\tcontinue;\n\t\t}\n\t\tif(!vis[i]){\n\t\t\tvis[i]=1;\n\t\t\tif(!usd[i]||dfs(usd[i])){\n\t\t\t\tusd[i]=X;\n\t\t\t\treturn 1;\n\t\t\t}\n\t\t}\n\t}\n\t\n\treturn 0;\n}\nvoid init(){\n\tscanf(\"%d%d%d\",&n,&m,&q);\n\tfor(int i=1;i<=n;++i){\n\t\tfor(int j=1;j<=m;++j){\n\t\t\tmp[i][j]=mp[j][i]=0;\n\t\t\tusd[i]=usd[j]=0;\n\t\t}\n\t}\n\tint u,v;\n\tfor(int i=1;i<=q;++i){\n\t\tscanf(\"%d%d\",&u,&v);\n\t\tif(u>n||v>m){\n\t\t\tcontinue;\n\t\t}\n\t\t++mp[u][v];\n\t}\n\tint ans=0;\n\tfor(int i=1;i<=n;++i){\n\t\tfor(int j=1;j<=m;++j){\n\t\t\tvis[j]=0;\n\t\t}\n\t\tans+=dfs(i);\n\t}\n\tprintf(\"%d\\n\",ans);\n}\n\nint main(){\n\tinit();\n\treturn 0;\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
\u4e00\u9053\u5308\u7259\u5229\u7b97\u6cd5\u7684\u6a21\u677f\u9898\u3002 \u5bf9\u4e8e\u4e00\u5f20\u4e8c\u5206\u56fe\\(G\\)\uff08\u4e5f\u5c31\u662f\u6ca1\u6709\u5947\u73af\u7684\u56fe\uff09\uff0c\u6211\u4eec\u5b9a\u4e49\u5b83\u7684\u300c\u5339\u914d\u300d\u4e3a\u4e00\u4e2a\u56fe\\(G’ … <\/p>\n
\u7ee7\u7eed\u9605\u8bfb\u201clp3386 \u4e8c\u5206\u56fe\u6700\u5927\u5339\u914d\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[65,67,30,8,6,5],"tags":[],"_links":{"self":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/505"}],"collection":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/comments?post=505"}],"version-history":[{"count":4,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/505\/revisions"}],"predecessor-version":[{"id":509,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/505\/revisions\/509"}],"wp:attachment":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/media?parent=505"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/categories?post=505"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/tags?post=505"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}