#include <bits/stdc++.h>
using namespace std;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int n;
  string s;
  cin >> n >> s;
  n += 3;
  vector<int> a(n), la(n), ra(n), lmi(n), lma(n), rmi(n), rma(n);
  int j = 2;
  for (int i = 0; i < n - 3; i++) {
    if (s[i] == '(') {
      a[j] = 1;
    } else if (s[i] == ')') {
      a[j] = -1;
    } else if (s[i] == 'R') {
      j++;
    } else if (s[i] == 'L') {
      j--;
      j = max(j, 2);
    } else {
      a[j] = 0;
    }
    la[j] = la[j - 1] + a[j];
    ra[j] = ra[j + 1] - a[j];
    lmi[j] = min(lmi[j - 1], la[j]);
    lma[j] = max(lma[j - 1], la[j]);
    rmi[j] = min(rmi[j + 1], ra[j]);
    rma[j] = max(rma[j + 1], ra[j]);
    if (lmi[j] >= 0 && rmi[j + 1] >= 0 && la[j] == ra[j + 1]) {
      cout << max(lma[j], rma[j + 1]) << " ";
    } else {
      cout << "-1 ";
    }
  }
  cout << "\n";
  return 0;
}
