#include <bits/stdc++.h>
#define ll long long
using namespace std;
int main()
{
ll tc,n,jwb,jmlh,ta,tr,tn,tb,maxi;
bool bo;
char x[2005][2005];
scanf("%lld",&tc);
for (ll a=1;a<=tc;a++)
{
scanf("%lld",&n);
maxi=(n+1)/2;
jwb=-1;
memset(x,0,sizeof(x));
for (ll b=1;b<=n;b++) for (ll c=1;c<=n;c++) scanf("%lld",&x[b][c]);
for (ll b=1;b<=n;b++)
{
for (ll c=1;c<=n;c++)
{
tr=tn=c; ta=tb=b;
jmlh=0;
if (x[b][c]=='#')
{
if (jwb==-1 || (jwb!=-1 && n-b>jwb && n-c>jwb) )
{
if (jwb==-1) jwb=1;
while(1)
{
if (x[ta-1][c]=='.' || x[tb+1][c]=='.' || x[b][tn+1]=='.' || x[b][tr-1]=='.') break;
ta--; tb++; tn++; tr--;
}
jmlh=tb-b;
if (jmlh==maxi)
{
jwb=maxi; break;
}
jwb=max(jwb,jmlh);
}
}
}
if (jwb==maxi) break;
}
printf("%lld\n",jwb);
}
}
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