题解:
每两个联通的油井建边
然后二分图最大匹配
最后答案除以2
代码:
#include<cstdio>
#include<cmath>
#include<cstring>
#include<algorithm>
using namespace std;
const int N=;
char c;
int T,a[N/][N/],f[N],match[N],fi[N],cas,num,ne[N],zz[N],n,cnt;
int dfs(int x)
{
for (int i=fi[x];i;i=ne[i])
if (!f[zz[i]])
{
f[zz[i]]=;
if (!match[zz[i]]||dfs(match[zz[i]]))
{
match[zz[i]]=x;
return ;
}
}
return ;
}
void jb(int x,int y)
{
ne[++num]=fi[x];
fi[x]=num;
zz[num]=y;
ne[++num]=fi[y];
fi[y]=num;
zz[num]=x;
}
int main()
{
scanf("%d",&T);
while (T--)
{
memset(a,,sizeof a);
memset(fi,,sizeof fi);
num=;
scanf("%d",&n);
for (int i=;i<n;i++)
for (int j=;j<n;j++)
{
int ch=getchar();
while (ch!='.'&&ch!='#')ch=getchar();
if (ch=='#')a[i][j]=++cnt;
else a[i][j]=;
}
for (int i=;i<n;i++)
for (int j=;j<n;j++)
if (a[i][j])
{
if (a[i+][j])jb(a[i][j],a[i+][j]);
if (a[i][j+])jb(a[i][j],a[i][j+]);
}
int ans=;
for (int i=;i<=cnt;i++)
{
memset(f,,sizeof f);
ans+=dfs(i);
}
printf("Case %d: %d\n",++cas,ans/);
}
return ;
}