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  • UVA 1317 Concert Hall Scheduling(最小费用最大流)

    题意:一个公司有两个音乐厅,求能一年中能获得的最大的收益.

    分析:最小费用最大流,将费用改成负数求即可

    // File Name: 1317.cpp
    // Author: Zlbing
    // Created Time: 2013/4/25 21:32:14
    
    #include<iostream>
    #include<string>
    #include<algorithm>
    #include<cstdlib>
    #include<cstdio>
    #include<set>
    #include<map>
    #include<vector>
    #include<cstring>
    #include<stack>
    #include<cmath>
    #include<queue>
    using namespace std;
    #define CL(x,v); memset(x,v,sizeof(x));
    #define INF 0x3f3f3f3f
    #define LL long long
    #define REP(i,r,n) for(int i=r;i<=n;i++)
    #define RREP(i,n,r) for(int i=n;i>=r;i--)
    const int MAXN=400;
    struct Edge{
        int from,to,cap,flow,cost;
    };
    struct MCMF{
        int n,m,s,t;
        vector<Edge>edges;
        vector<int> G[MAXN];
        int inq[MAXN];
        int d[MAXN];
        int p[MAXN];
        int a[MAXN];
        void init(int n){
            this->n=n;
            for(int i=0;i<=n;i++)G[i].clear();
            edges.clear();
        }
        void AddEdge(int from,int to,int cap,int cost){
            edges.push_back((Edge){from,to,cap,0,cost});
            edges.push_back((Edge){to,from,0,0,-cost});
            m=edges.size();
            G[from].push_back(m-2);
            G[to].push_back(m-1);
        }
        bool BellmanFord(int s,int t,int& flow,int& cost){
            for(int i=0;i<=n;i++)d[i]=INF;
                CL(inq,0);
            d[s]=0;inq[s]=1;p[s]=0;a[s]=INF;
    
            queue<int>Q;
            Q.push(s);
            while(!Q.empty()){
                int u=Q.front();Q.pop();
                inq[u]=0;
                for(int i=0;i<G[u].size();i++){
                    Edge& e=edges[G[u][i]];
                    if(e.cap>e.flow&&d[e.to]>d[u]+e.cost){
                        d[e.to]=d[u]+e.cost;
                        p[e.to]=G[u][i];
                        a[e.to]=min(a[u],e.cap-e.flow);
                        if(!inq[e.to]){
                            Q.push(e.to);
                            inq[e.to]=1;
                        }
                    }
                }
            }
            if(d[t]==INF)return false;
            flow+=a[t];
            cost+=d[t]*a[t];
            int u=t;
            while(u!=s){
                edges[p[u]].flow+=a[t];
                edges[p[u]^1].flow-=a[t];
                u=edges[p[u]].from;
            }
            return true;
        }
        int Mincost(int s,int t){
            int flow=0,cost=0;
            while(BellmanFord(s,t,flow,cost));
            return cost;
        }
    };
    
    MCMF solver;
    int main()
    {
        int m;
        while(~scanf("%d",&m))
        {
            if(!m)break;
            int S=0,T=366;
            solver.init(T);
            REP(i,1,m)
            {
                int a,b,c;
                scanf("%d%d%d",&a,&b,&c);
                solver.AddEdge(a,b+1,1,-c);
            }
            REP(i,1,T)
                solver.AddEdge(i,i+1,2,0);
            solver.AddEdge(0,1,2,0);
            int ans=solver.Mincost(S,T);
            printf("%d\n",-ans);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/arbitrary/p/3043793.html
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