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  • P3386 【模板】二分图最大匹配

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    #include<iostream>
    #include<cstdio>
    #include<queue>
    #include<algorithm>
    #include<cmath>
    #include<ctime>
    #include<set>
    #include<map>
    #include<stack>
    #include<cstring>
    #define inf 2147483647
    #define ls rt<<1
    #define rs rt<<1|1
    #define lson ls,nl,mid,l,r
    #define rson rs,mid+1,nr,l,r
    #define N 1000010
    #define For(i,a,b) for(long long i=a;i<=b;i++)
    #define p(a) putchar(a)
    #define g() getchar()
    
    using namespace std;
    long long n,m,x,y,v,k;
    
    void in(long long &x){
        long long y=1;char c=getchar();x=0;
        while(c<'0'||c>'9'){if(c=='-')y=-1;c=getchar();}
        while(c<='9'&&c>='0'){ x=(x<<1)+(x<<3)+c-'0';c=getchar();}
        x*=y;
    }
    void o(long long x){
        if(x<0){p('-');x=-x;}
        if(x>9)o(x/10);
        p(x%10+'0');
    }
    
    struct Dinic{
        long long maxflow,tot;
        long long head[N],deep[N],cur[N];
        queue<long long>q;
    
        struct node{
            long long n;
            long long v;
            long long next;
        }e[N];
    
        void init(){
            memset(head,-1,sizeof(head));
        }
    
        void push(long long x,long long y,long long v){
            e[tot].n=y;
            e[tot].v=v;
            e[tot].next=head[x];
            head[x]=tot++;
        }
        bool bfs(long long s,long long t){
            memset(deep,-1,sizeof(deep));
            For(i,0,n+m+2)
                cur[i]=head[i];
            deep[s]=0;
            q.push(s);
            while(!q.empty()){
                long long now=q.front();
                q.pop();
                for(long long i=head[now];i!=-1;i=e[i].next)
                    if(deep[e[i].n]==-1 && e[i].v>0){
                        deep[e[i].n]=deep[now]+1;
                        q.push(e[i].n);
                    }
            }
            return deep[t]!=-1;
        }
    
        long long dfs(long long now,long long t,long long lim){
            if(now==t||lim==0)
                return lim;
            long long flow=0,f;
            for(long long i=cur[now];i!=-1;i=e[i].next){
                cur[now]=i;
                if(deep[e[i].n]==deep[now]+1 && (f=dfs(e[i].n,t, min(lim,e[i].v) ))){
                    flow+=f;
                    lim-=f;
                    e[i].v-=f;
                    e[i^1].v+=f;
                    if(!lim) break;
                }
            }
            return flow;
        }
    
        void dinic(long long s,long long t){
            while(bfs(s,t)){
                maxflow+=dfs(s,t,inf);
            }
        }
    }g;
    
    int main(){
        in(n);in(m);in(k);
        g.init();
        For(i,1,n){
            g.push(0,i,1);
            g.push(i,0,0);
        }
        For(i,1,m){
            g.push(i+n,n+m+1,1);
            g.push(n+m+1,n+i,0);
        }
        For(i,1,k){
            in(x);in(y);
            g.push(x,y+n,1);
            g.push(y+n,x,0);
        }
        g.dinic(0,n+m+1);
        o(g.maxflow);
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/war1111/p/12920071.html
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