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

class TEST{
	static void Main(){
		Sol mySol =new Sol();
		mySol.Solve();
	}
}

class Sol{
	public void Solve(){
		
		var Stk = new Stack<int>();
		int[] ans = new int[N];
		for(int i=0;i<N;i++){
			if(S[i] == '('){
				Stk.Push(i + 1);
			} else {
				var n = Stk.Pop();
				ans[i] = n;
			}
		}
		
		for(int i=0;i<N;i++){
			if(ans[i] != 0){
				ans[ans[i] - 1] = i + 1;
			}
		}
		
		for(int i=0;i<N;i++) Console.WriteLine(ans[i]);
		
		
	}
	int N;
	String S;
	public Sol(){
		N = ri();
		S = rs();
	}

	static String rs(){return Console.ReadLine();}
	static int ri(){return int.Parse(Console.ReadLine());}
	static long rl(){return long.Parse(Console.ReadLine());}
	static double rd(){return double.Parse(Console.ReadLine());}
	static String[] rsa(char sep=' '){return Console.ReadLine().Split(sep);}
	static int[] ria(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>int.Parse(e));}
	static long[] rla(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>long.Parse(e));}
	static double[] rda(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>double.Parse(e));}
}