• POJ 1087 A Plug for UNIX


    网络最大流水题

    #include<cstdio>
    #include<cstring>
    #include<string>
    #include<cmath>
    #include<vector>
    #include<queue>
    #include<map>
    #include<algorithm>
    using namespace std;
    
    const int maxn=1000+10;
    const int INF=0x7FFFFFFF;
    
    struct Edge { int from,to,cap,flow; };
    vector<Edge>edges;
    vector<int>G[maxn];
    bool vis[maxn];
    int d[maxn];
    int cur[maxn];
    int m,s,t;
    map<string,int>ZH;
    int N,M,K,ToT;
    char ss[1000],tt[1000];
    
    //求出层次网络
    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];
    }
    
    
    //加边
    void AddEdge(int from,int to,int cap)
    {
        Edge r;
        r.from=from;r.to=to;r.cap=cap;r.flow=0;
        edges.push_back(r);
        Edge d;
        d.from=to;d.to=from;d.cap=0;d.flow=0;
        edges.push_back(d);
        m=edges.size();
        G[from].push_back(m-2);
        G[to].push_back(m-1);
    }
    
    //每个阶段来一次DFS增广
    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)))>0)
            {
                e.flow+=f;
                edges[G[x][i]^1].flow-=f;
                flow+=f;
                a-=f;
                if(a==0) break;
            }
        }
        return flow;
    }
    
    //多个阶段,多次建立层次网络。
    int Maxflow(int ss,int tt)
    {
        int flow=0;
        while(BFS())
        {
            memset(cur,0,sizeof(cur));
            flow+=DFS(ss,INF);
        }
        return flow;
    }
    
    //输入输出
    void init()
    {
        edges.clear();
        for(int i=0;i<maxn;i++) G[i].clear();
        ZH.clear();
        ToT=1;
    }
    
    int main()
    {
        while(~scanf("%d",&N)){
        init();
        s=0;
        t=400;
        for(int i=1;i<=N;i++)
        {
            scanf("%s",ss);
            if(!ZH[ss])
            {
                ZH[ss]=ToT;
                ToT++;
                AddEdge(s,ZH[ss],1);
            }
        }
        scanf("%d",&M);
        for(int i=1;i<=M;i++)
        {
            scanf("%s%s",ss,tt);
            if(!ZH[ss])
            {
                ZH[ss]=ToT;
                ToT++;
                AddEdge(ZH[ss],t,1);
            }
            if(!ZH[tt])
            {
                ZH[tt]=ToT;
                ToT++;
            }
            AddEdge(ZH[tt],ZH[ss],1);
        }
        scanf("%d",&K);
        for(int i=1;i<=K;i++)
        {
            scanf("%s%s",ss,tt);
            if(!ZH[ss])
            {
                ZH[ss]=ToT;
                ToT++;
            }
            if(!ZH[tt])
            {
                ZH[tt]=ToT;
                ToT++;
            }
            AddEdge(ZH[tt],ZH[ss],INF);
        }
        printf("%d
    ",M-Maxflow(s,t));}
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/zufezzt/p/4738043.html
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