{"id":33,"date":"2025-01-11T22:32:59","date_gmt":"2025-01-11T14:32:59","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=33"},"modified":"2025-01-11T22:32:59","modified_gmt":"2025-01-11T14:32:59","slug":"f-make-it-connected-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad%e3%80%81mst","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=33","title":{"rendered":"F. Make It Connected \u89e3\u6790(\u601d\u7dad\u3001MST)"},"content":{"rendered":"\n

Codeforce 1095 F. Make It Connected \u89e3\u6790(\u601d\u7dad\u3001MST)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF1095F
\n\u984c\u76ee\u9023\u7d50<\/a><\/p>\n

\n

\u984c\u76ee<\/strong>
\n\u7d66\u4f60$n$\u500b\u9ede\uff0c\u6bcf\u500b\u9ede$u$\u9084\u6709\u4e00\u500b\u503c$a[u]$\uff0c\u9084\u6709\u7d66\u4f60$m$\u689d\u53ef\u80fd\u7684\u908a\u3002
\n\u4efb\u5169\u9ede$(u,v)$\u90fd\u53ef\u80fd\u53ef\u4ee5\u7528$a[u]+a[v]$\u9019\u500b\u6b0a\u503c\u4f86\u9023\u63a5\u3002
\n\u4e00\u958b\u59cb\u5716\u4e0a\u6c92\u6709\u908a\uff0c\u6c42\u6700\u5c0f\u7684\u6b0a\u503c\u4f7f\u5f97\u5716\u9023\u901a\u3002<\/p>\n<\/blockquote>\n

\u524d\u8a00<\/h3>\n

\u601d\u8003\u65b9\u5411\u9084\u662f\u4e0d\u5920\u6b63\u78ba\u963f\u2026<\/p>\n

\u60f3\u6cd5<\/h3>\n

\u9996\u5148\u77e5\u9053\u6211\u5011\u60f3\u8981\u69cb\u9020MST\uff0c\u4e26\u4e14\u6ce8\u610f\u5230:\u5982\u679c\u4e0d\u8003\u616e\u591a\u51fa\u4f86\u7684$m$\u689d\u908a\uff0c\u90a3\u9ebc\u5f9e\u6b0a\u503c\u6700\u5c0f\u7684\u9ede\u9023\u5230\u6240\u6709\u5176\u4ed6\u9ede\u5c31\u662f\u4e00\u7a2e\u6700\u597d\u7684\u69cb\u9020\u3002
\n\u90a3\u9ebc\u6211\u5011\u53ea\u8981\u628a\u9019$n-1$\u689d\u908a\u7d0d\u5165\u8003\u616e\u4e00\u8d77\u9020MST\u5c31\u597d\u3002<\/p>\n

\u7a0b\u5f0f\u78bc:<\/h3>\n
const int _n=2e5+10;  \nint parent[_n], rank[_n];  \ninline void dsinit(int n) {for (int i = 0; i < n; i++)parent[i] = i;memset(rank, 0, sizeof rank);}  \ninline int dsfind(int e) {return parent[e] == e ? e : parent[e] = dsfind(parent[e]);}  \ninline void dsunion(int s1, int s2) {if (rank[s1] < rank[s2])swap(s1, s2);parent[s2] = s1;if (rank[s1] == rank[s2]) rank[s1]++;}  \n\/\/\u4ee5\u4e0a\u662fdsu\u6a21\u677f  \nstruct E{  \n  int f,t;ll w;  \n  bool operator<(const E& rhs)const{return w<rhs.w;}  \n};  \nint t,n,m,s1,s2,id=0,x,y;  \nll a[_n],sum=0,w;  \nvector<E> e;  \nmain(void) {ios_base::sync_with_stdio(0);cin.tie(0);  \n  cin>>n>>m;rep(i,0,n)cin>>a[i]; rep(i,0,m){  \n    cin>>x>>y>>w;x--,y--;e.pb({x,y,w});  \n  }id=0;rep(i,1,n)if(a[i]<a[id])id=i;  \n  rep(i,m,m+n)if(i-m!=id)e.pb({id,i-m,a[id]+a[i-m]});  \n  sort(all(e)); dsinit(n);  \n  sum=0;rep(i,0,m+n-1){  \n    s1=dsfind(e[i].f),s2=dsfind(e[i].t);  \n    if(s1!=s2)dsunion(s1,s2),sum+=e[i].w;  \n  }cout<<sum<<'\\n';  \n  return 0;  \n}  \n<\/code><\/pre>\n
\u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b
\nSubmission<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[3],"tags":[10,12,9,8],"class_list":["post-33","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-codeforce","tag-mst","tag-ojcode","tag-8"],"jetpack_publicize_connections":[],"yoast_head":"\nF. 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