• BZOJ2768 JLOI2012冠军调查(最小割)


      容易想到网络流。将每个人拆成0和1两个点。若某人值为0的话则让源连向0,否则让1连向汇,流量为1。相互认识的人之间01各自连边。跑最小割即可。

    #include<iostream> 
    #include<cstdio>
    #include<cmath>
    #include<cstdlib>
    #include<cstring>
    #include<algorithm>
    using namespace std;
    int read()
    {
        int x=0,f=1;char c=getchar();
        while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
        while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
        return x*f;
    }
    #define N 310 
    #define S 0
    #define T 601
    int n,m,p[N<<1],t=-1,ans=0;
    int d[N<<1],cur[N<<1],q[N<<1];
    struct data{int to,nxt,cap,flow;
    }edge[N*N<<1];
    int trans(int x,int y){return (x<<1)-y;}
    void addedge(int x,int y)
    {
        t++;edge[t].to=y,edge[t].nxt=p[x],edge[t].cap=1,edge[t].flow=0,p[x]=t;
        t++;edge[t].to=x,edge[t].nxt=p[y],edge[t].cap=0,edge[t].flow=0,p[y]=t;
    }
    bool bfs()
    {
        memset(d,255,sizeof(d));d[S]=0;
        int head=0,tail=1;q[1]=S;
        do
        {
            int x=q[++head];
            for (int i=p[x];~i;i=edge[i].nxt)
            if (d[edge[i].to]==-1&&edge[i].flow<edge[i].cap)
            {
                d[edge[i].to]=d[x]+1;
                q[++tail]=edge[i].to;
            }
        }while (head<tail);
        return ~d[T];
    }
    int work(int k,int f)
    {
        if (k==T) return f;
        int used=0;
        for (int i=cur[k];~i;i=edge[i].nxt)
        if (d[k]+1==d[edge[i].to])
        {
            int w=work(edge[i].to,min(f-used,edge[i].cap-edge[i].flow));
            edge[i].flow+=w,edge[i^1].flow-=w;
            if (edge[i].flow<edge[i].cap) cur[k]=i;
            used+=w;if (used==f) return f;
        }
        if (used==0) d[k]=-1;
        return used;
    }
    void dinic()
    {
        while (bfs())
        {
            memcpy(cur,p,sizeof(p));
            ans+=work(S,N*N);
        }
    }
    int main()
    {
    #ifndef ONLINE_JUDGE
        freopen("bzoj2768.in","r",stdin);
        freopen("bzoj2768.out","w",stdout);
        const char LL[]="%I64d
    ";
    #else
        const char LL[]="%lld
    ";
    #endif
        n=read(),m=read();
        memset(p,255,sizeof(p));
        for (int i=1;i<=n;i++)
        {
            int x=read();
            if (x) addedge(trans(i,1),T);
            else addedge(S,trans(i,0));
        }
        for (int i=1;i<=m;i++)
        {
            int x=read(),y=read();
            addedge(trans(x,0),trans(y,1));
            addedge(trans(y,0),trans(x,1));
        }
        dinic();
        cout<<ans;
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/Gloid/p/9625097.html
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