using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

class Program
{
  static void Main()
  {
    solve();
  }
  

  static void solve()
  {
    Scanner scanner = new Scanner();
    int n = scanner.nextInt();
    char[] str = scanner.next().ToCharArray();
    Stack<int> stack = new Stack<int>();
    int[] anslist = new int[n];
    
    for (int i = 0; i < n; i++)
    {
      if (str[i] == '(')
      {
        stack.Push(i);
      }
      else
      {
        int num = stack.Pop();
        anslist[num] = i + 1;
        anslist[i] = num + 1;
      }
    }
    foreach (var ans in anslist)
    {
      Console.WriteLine(ans);
    }
  }
}

class Scanner
{
  string[] s;
  int i;

  char[] cs = new char[] { ' ' };

  public Scanner()
  {
    s = new string[0];
    i = 0;
  }

  public string next()
  {
    if (i < s.Length) return s[i++];
    string st = Console.ReadLine();
    while (st == "") st = Console.ReadLine();
    s = st.Split(cs, StringSplitOptions.RemoveEmptyEntries);
    i = 0;
    return next();
  }

  public int nextInt()
  {
    return int.Parse(next());
  }

  public long nextLong()
  {
    return long.Parse(next());
  }

  public double nextDouble()
  {
    return double.Parse(next());
  }

}