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  • hdu6005 Pandaland 想法+dijkstra

    /**
    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
    ",cas++);
            }else
            printf("Case #%d: %d
    ",cas++,mis);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/xiaochaoqun/p/7242182.html
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