using System;
using System.IO;
using System.Linq;
using System.Collections.Generic;
using System.Text;

public class Program
{

    public void Proc()
    {
        int length = int.Parse(Reader.ReadLine());

        string inpt = Reader.ReadLine();

        Stack<int> stk = new Stack<int>();
        int[] ans = new int[length];
        for (int i = 0; i < inpt.Length; i++) {
            if(inpt[i] == ')') {
                if(stk.Count>0) {
                    int tmp = stk.Pop();
                    ans[tmp] = i + 1;
                    ans[i] = tmp + 1;
                }
            } else if(inpt[i] == '(') {
                stk.Push(i);
            }
        }
        StringBuilder ansText = new StringBuilder();
        ans.ToList().ForEach(a=>ansText.AppendLine(a.ToString()));
        Console.Write(ansText.ToString());
    
    }





    public class Reader
    {
        private static StringReader sr;
        public static bool IsDebug = false;
        public static string ReadLine()
        {
            if (IsDebug)
            {
                if (sr == null)
                {
                    sr = new StringReader(InputText.Trim());
                }
                return sr.ReadLine();
            }
            else
            {
                return Console.ReadLine();
            }
        }
        private static string InputText = @"

6
()(())


";
    }

    public static void Main(string[] args)
    {
#if DEBUG
        Reader.IsDebug = true;
#endif
        Program prg = new Program();
        prg.Proc();
    }
}