• 最小割 [国家集训队2011]happiness(吴确)


              传送门

             考虑把S设为文科,T设为理科,

             S到每个点连边,流量为选文HAPPY+1/2(和四周一起选文的贡献)

             T理科同理。

              把四周挨着的建双向边条,流量为1/2(两人同选文加同选理的贡献)即可。

             读入太扯淡了

    #include<cstdio>
    #include<cstdlib>
    #include<cstring>
    #include<iostream>
    #include<queue>
    #define inf 100000000
    using namespace std;
    int w_[105][105],l_[105][105],w_h[105][105],w_z[105][105],l_h[105][105],l_z[105][105];
    int n,m,S=0,T,cnt,a[105][105],sum,ans;
    int adj[10005],e=2,dep[10005];
    struct node
    {
    	int v,next,l;
    } lu[100004];
    int read() {
    	int s=0,f=1;char ch=getchar();
    	while(ch>'9'||ch<'0') {if(ch=='-')f=-1;ch=getchar();}
    	while(ch>='0'&&ch<='9') {s=(s<<1)+(s<<3)+(ch^48);ch=getchar();}
    	return s*f;
    }
    void add(int u,int v,int l)
    {lu[e].v=v;lu[e].l=l;lu[e].next=adj[u];adj[u]=e++;}
    int bfs()
    {
    	queue<int> q;
    	memset(dep,0,sizeof(dep));
    	q.push(S);
    	dep[S]=1;
    	while(!q.empty())
    	{
    		int x=q.front();q.pop();
    		for(int i=adj[x];i;i=lu[i].next)
    		{
    			if(lu[i].l&&!dep[lu[i].v])
    			{//cout<<lu[i].l<<" ";
    				dep[lu[i].v]=dep[x]+1;
    				q.push(lu[i].v);
    				if(lu[i].v==T)
    			   		return 1;
    			}
    		}
    	}
    	return 0;
    }
    int dfs(int x,int len)
    {
    	if(x==T)return len;
    	int tmp=len,k;
    	for(int i=adj[x];i;i=lu[i].next)
    	{
    		int to=lu[i].v;
    		if(tmp&&dep[to]==dep[x]+1&&lu[i].l)
    		{
    			k=dfs(to,min(lu[i].l,tmp));
    			if(!k)
    			{
    				dep[to]=0;
    				continue;
    			}
    			lu[i].l-=k;
    			lu[i^1].l+=k;
    			tmp-=k;
    		}
    	}
    	return len-tmp;
    }
    int yjn()
    {
    	freopen("nt2011_happiness.in","r",stdin);
    	freopen("nt2011_happiness.out","w",stdout);
    	scanf("%d%d",&n,&m);T=n*m+1;
    	for(int i=1;i<=n;i++)for(int j=1;j<=m;j++)w_ [i][j]=read(),sum+=w_ [i][j];
    	for(int i=1;i<=n;i++)for(int j=1;j<=m;j++)l_ [i][j]=read(),sum+=l_ [i][j];
    	for(int i=1;i< n;i++)for(int j=1;j<=m;j++)w_z[i][j]=read(),sum+=w_z[i][j];
    	for(int i=1;i< n;i++)for(int j=1;j<=m;j++)l_z[i][j]=read(),sum+=l_z[i][j];
    	for(int i=1;i<=n;i++)for(int j=1;j< m;j++)w_h[i][j]=read(),sum+=w_h[i][j];
    	for(int i=1;i<=n;i++)for(int j=1;j< m;j++)l_h[i][j]=read(),sum+=l_h[i][j];
    	for(int i=1;i<=n;i++)for(int j=1;j<=m;j++)a[i][j]=++cnt;
    	for(int i=1;i<=n;i++)for(int j=1;j<=m;j++)
    	{
    		add(S,a[i][j],2*w_[i][j]+w_z[i][j]+w_z[i-1][j]+w_h[i][j]+w_h[i][j-1]);add(a[i][j],S,0);
    		add(a[i][j],T,2*l_[i][j]+l_z[i][j]+l_z[i-1][j]+l_h[i][j]+l_h[i][j-1]);add(T,a[i][j],0);
    		if(i!=n){add(a[i][j],a[i+1][j],w_z[i][ j ]+l_z[i][ j ]),add(a[i+1][j],a[i][j],w_z[i][ j ]+l_z[i][ j ]);}
    		if(j!=m){add(a[i][j],a[i][j+1],w_h[i][ j ]+l_h[i][ j ]),add(a[i][j+1],a[i][j],w_h[i][ j ]+l_h[i][ j ]);}
    	}
    	while(bfs())
    	   ans+=dfs(S,inf);
    	cout<<(sum*2-ans)/2;
    }
    int qty=yjn();
    int main(){;}

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  • 原文地址:https://www.cnblogs.com/QTY2001/p/7632760.html
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