#include <bits/stdc++.h>
using namespace std;
using LL = long long;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<LL>;
using VVL = vector<VL>;
using VD = vector<double>;
using VVD = vector<VD>;
using PII = pair<int, int>;
using PDD = pair<double, double>;
using PLL = pair<LL, LL>;
using VPII = vector<PII>;
template <typename T>
using VT = vector<T>;
template <typename T>
inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
const int INF = 1e9;
const int MOD = INF + 7;
const LL LLINF = 1e18;
int main(void) {
  int n;
  cin >> n;
  string s;
  cin >> s;
  int one = 0, zero = 0;
  for (auto &&e : (s)) {
    if (e == '(') {
      if (one <= zero) {
        one++;
        putchar('1');
      } else {
        zero++;
        putchar('0');
      }
    } else {
      if (one >= zero) {
        one--;
        putchar('1');
      } else {
        zero--;
        putchar('0');
      }
    }
  }
  putchar('\n');
}
