• HDU4289 Control 最大流


    经典题,求去掉若干个点,使得两个点不在连通,总价值最少

    所以拆点最小割,除了拆点边,流量都为无穷,拆点边是流量为价值

    #include <iostream>
    #include <cstdio>
    #include <cstdlib>
    #include <cstring>
    #include <cmath>
    #include <string>
    #include <stack>
    #include <vector>
    #include <map>
    #include <queue>
    #include <algorithm>
    #include <utility>
    using namespace std;
    typedef long long LL;
    const int maxn=4e2+5;
    const int INF=0x3f3f3f3f;
    struct Edge
    {
        int from,to,cap,flow;
        Edge(int u,int v,int c,int d):from(u),to(v),cap(c),flow(d) {}
    };
    struct dinic
    {
        int s,t;
        vector<Edge>edges;
        vector<int>G[maxn];
        int d[maxn];
        int cur[maxn];
        bool vis[maxn];
        void init(){
            edges.clear();
            for(int i=0;i<maxn;++i)
              G[i].clear();  
        }
        bool bfs()
        {
            memset(vis,0,sizeof(vis));
            queue<int>q;
            q.push(s);
            d[s]=0;
            vis[s]=1;
            while(!q.empty())
            {
                int x=q.front();
                q.pop();
                for(int i=0; i<G[x].size(); i++)
                {
                    Edge &e= edges[G[x][i]];
                    if(!vis[e.to]&&e.cap>e.flow)
                    {
                        vis[e.to]=1;
                        d[e.to]=d[x]+1;
                        q.push(e.to);
                    }
                }
            }
            return vis[t];
        }
        int dfs(int x,int a)
        {
            if(x==t||a==0)return a;
            int flow=0,f;
            for(int &i=cur[x]; i<G[x].size(); i++)
            {
                Edge &e=edges[G[x][i]];
                if(d[x]+1==d[e.to]&&(f=dfs(e.to,min(a,e.cap-e.flow))))
                {
                    e.flow+=f;
                    edges[G[x][i]^1].flow-=f;
                    flow+=f;
                    a-=f;
                    if(a==0)break;
                }
            }
            return flow;
        }
        int maxflow(int s,int t)
        {
            this->s=s;
            this->t=t;
            int flow=0;
            while(bfs())
            {
                memset(cur,0,sizeof(cur));
                flow+=dfs(s,INF);
            }
            return flow;
        }
        void addedge(int u,int v,int c)
        {
            Edge x(u,v,c,0),y(v,u,0,0);
            edges.push_back(x);
            edges.push_back(y);
            int l=edges.size();
            G[u].push_back(l-2);
            G[v].push_back(l-1);
        }
    }solve;
    int a[maxn/2];
    int main()
    {
        int n,m,s,t;
        while(~scanf("%d%d",&n,&m)){
           scanf("%d%d",&s,&t);
           for(int i=1;i<=n;++i)
            scanf("%d",&a[i]);
           solve.init();
           for(int i=1;i<=m;++i){
             int u,v;
             scanf("%d%d",&u,&v);
             solve.addedge(u+n,v,INF);
             solve.addedge(v+n,u,INF);
           }
           for(int i=1;i<=n;++i)
           solve.addedge(i,i+n,a[i]);
           printf("%d
    ",solve.maxflow(s,t+n));
        }
        return 0;
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/shuguangzw/p/5506239.html
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