/** 题目:hdu6005 Pandaland 链接:http://acm.hdu.edu.cn/showproblem.php?pid=6005 题意:给定一个带权无向图,求权值和最小的环的值,如果不存在环输出0; 思路:枚举每条边,然后dijkstra求s到t的距离,dijkstra过程中舍去s-t的这条边。 两个优化:dijkstra找到了t就跳出。或者出队列的距离>=当前找到的最小距离跳出。 */ #include<iostream> #include<cstdio> #include<algorithm> #include<map> #include<vector> #include<queue> #include<cstring> using namespace std; typedef pair<int,int> P; typedef long long LL; const int N = 4e3+10; const int INF = 0x3f3f3f3f; struct edge{int to, cost;}; int V, mis; vector<edge> G[2*N]; int d[N*2+1]; void dijkstra(int s,int t) { priority_queue<P,vector<P>, greater<P> > que; fill(d,d+V,INF); d[s] = 0; que.push(P(0,s)); while(!que.empty()){ P p = que.top(); que.pop(); int v = p.second; if(d[v]<p.first) continue; if(v==t) break; if(d[v]>=mis) break; for(int i = 0; i < (int)G[v].size(); i++){ edge e = G[v][i]; if(v==s&&e.to==t) continue; if(d[e.to]>d[v]+e.cost){ d[e.to] = d[v]+e.cost; que.push(P(d[e.to],e.to)); } } } } map<P,int> mp; struct node { int u,v; int cost; }Eg[N]; int main() { int cas = 1, T, m; cin>>T; while(T--) { int cnt = 1; scanf("%d",&m); int cost, x1, y1, x2, y2; for(int i = 1; i <= 2*N; i++) G[i].clear(); mp.clear(); for(int i = 1; i <= m; i++){ scanf("%d%d%d%d%d",&x1,&y1,&x2,&y2,&cost); int u, v; if(mp[P(x1,y1)]==0){ mp[P(x1,y1)] = cnt++; } if(mp[P(x2,y2)]==0){ mp[P(x2,y2)] = cnt++; } u = mp[P(x1,y1)], v = mp[P(x2,y2)]; G[u].push_back(edge{v,cost}); G[v].push_back(edge{u,cost}); Eg[i].cost = cost; Eg[i].u = u; Eg[i].v = v; } mis = INF; V = cnt; for(int i = 1; i <= m; i++){ dijkstra(Eg[i].u,Eg[i].v); mis = min(mis,d[Eg[i].v]+Eg[i].cost); } if(mis==INF){ printf("Case #%d: 0\n",cas++); }else printf("Case #%d: %d\n",cas++,mis); } return 0; }
时间: 2024-12-10 04:07:13