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  • luogu P1345 [USACO5.4]奶牛的电信Telecowmunication

    https://www.luogu.org/problemnew/show/1345

    拆点,中间建流量为1的边,跑最小割

    #include<cstdio>
    #include<queue>
    #include<cstring>
    #include<algorithm>
    std::queue<int>que;
    #define INF 0x7fffffff
    const int maxn = 10007;
    inline int read() {
        int x=0;
        char c=getchar();
        while(c<'0'||c>'9')c=getchar();
        while(c<='9'&&c>='0')x=x*10+c-'0',c=getchar();
        return x;
    }
    int n,m,S,T,src,decc;
    struct node{
        int v,next,flow;
    }edge[maxn>>1];int head[maxn],num=1,cur[maxn],lev[maxn];
    void add_edge(int u,int v,int w) {
        edge[++num].v=v;edge[num].next=head[u];head[u]=num;
        edge[num].flow=w;
    }
    bool bfs() {
        while(!que.empty()) que.pop();
        std::memset(lev,-1,sizeof lev);
        memcpy(cur,head,sizeof head);  
        lev[src]=0;
        que.push(src);int now;
        while(!que.empty()) {
            now=que.front();que.pop();
            for(int i=head[now];i;i=edge[i].next) {
                int v=edge[i].v;
                if(lev[v]==-1&&edge[i].flow>0) {
                    lev[v]=lev[now]+1;
                    if(v==decc)return true;
                    que.push(v);
                }
            }
        }
        return false;
    }
    int dfs(int now,int flow) {
        if(now==decc)return flow;
        int rest=0,delta;
        for(int &i=cur[now];i;i=edge[i].next) {
            int v=edge[i].v;
            if(lev[v]==lev[now]+1&&edge[i].flow>0) {
                delta=dfs(v,std::min(flow-rest,edge[i].flow));
                if(delta) {
                    edge[i].flow-=delta;
                    edge[i^1].flow+=delta;
                    rest+=delta;if(rest==flow)break;
                }
            }
        }
        if(rest==flow)lev[now]=-1;//满流
        return rest;
    }
    int Dinic() {
        int ans=0;
        while(bfs()) 
            ans+=dfs(src,INF);
        return ans;
    }
    int main() {
        n=read(),m=read(),src=read(),decc=read();
        src+=n;
        for(int i=1;i<=n;++i) {
            add_edge(i,i+n,1);
            add_edge(i+n,i,0);
        }
        for(int a,b,i=1;i<=m;++i) {
            a=read(),b=read();
            add_edge(a+n,b,INF);
            add_edge(b,a+n,0);
            add_edge(b+n,a,INF);
            add_edge(a,b+n,0);
        }
        int ans=Dinic();
        printf("%d
    ",ans);
        return 0;
    }
        
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  • 原文地址:https://www.cnblogs.com/sssy/p/8094263.html
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