#include <bits/stdc++.h>
using namespace std;
int main() {
  int n, d = 0;
  string s;
  cin >> n >> s;
  for (int i = 0; i < n; ++i) {
    if (s[i] == '(') ++d;
    cout << (d & 1);
    if (s[i] == ')') --d;
  }
  cout << "\n";
  return 0;
}
