#include <bits/stdc++.h>
using namespace std;
pair<int, int> cnt(string s) {
  int bal = 0, minBal = 0;
  for (char c : s) {
    if (c == '(')
      bal++;
    else
      bal--;
    minBal = min(minBal, bal);
  }
  return {bal, minBal};
}
int k[400400];
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int n;
  cin >> n;
  vector<int> bal(n), minBal(n);
  for (int i = 0; i < n; i++) {
    string s;
    cin >> s;
    auto p = cnt(s);
    bal[i] = p.first;
    minBal[i] = p.second;
    if (bal[i] >= 0 && minBal[i] >= 0) k[bal[i]]++;
  }
  long long ans = 0;
  for (int i = 0; i < n; i++) {
    if (bal[i] > 0) continue;
    if (minBal[i] - bal[i] >= 0) ans += (long long)k[-bal[i]];
  }
  cout << ans;
  return 0;
}
