#include <bits/stdc++.h>
using namespace std;
#define rep(i, x, limit) for (long long i = (long long)x; i < (long long)limit; i++)
#define REP(i, x, limit) for (long long i = (long long)x; i <= (long long)limit; i++)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define el '\n'
#define spa " "
#define Yes cout << "Yes" << el
#define No cout << "No" << el
#define YES cout << "YES" << el
#define NO cout << "NO" << el
#define inp(x) for(auto &i:x)cin>>i
#define eps (1e-10)
#define Equals(a,b) (fabs((a) - (b)) < eps )
#define debug(x) cerr << #x << " = " << x << el
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vvl = vector<vector<ll>>;
using vs = vector<string>;
using vb = vector<bool>;
const double pi = 3.141592653589793238;
const int inf = 1073741823;
const ll infl = 1LL << 60;
const string ABC = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string abc = "abcdefghijklmnopqrstuvwxyz";
const ll MOD = 998244353;
#include<atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using vm = vector<mint>;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  ll n,ans=0;cin>>n;
  vs S(n);inp(S);
  vl C(n);
  rep(i,0,n){
    auto &nS=S[i];
    int cnt=0;
    rep(j,0,2*n){
      if(nS[j]=='.'){
        ans+=j-cnt;
        cnt++;
      }
    }
    C[i]=cnt;
  }
  stack<pll> st1,st2;
  rep(i,0,n){
    auto c=C[i];
    if(c==n)continue;
    else if(c<n){
      while(c<n&&!st1.empty()){
        auto[a,b]=st1.top();st1.pop();
        ans+=b*(i-a);
        ans+=(n-c)*b;
        if(n-c>=b){
          c+=b;
        }else if(n-c<b){
          st1.push({i,b-(n-c)});
          c=n;
        }
      }
      if(c<n)st2.push({i,n-c});
    }else{
      ll m=c-n;
      while(m>0&&!st2.empty()){
        auto[a,b]=st2.top();st2.pop();
        if(m>=b){
          ans+=b*(i-a);
          ans+=b*b;
          m-=b;
        }else{
          ans+=m*(i-a);
          ans+=m*b;
          st2.push({a,b-m});
          m=0;
        }
      }
      if(m>0)st1.push({i,m});
    }
  }
  cout<<ans<<el;
}