using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static long NN => long.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var s = ReadLine();
        var t = new Stack<int>();
        var ans = new int[n];
        for (var i = 0; i < n; ++i)
        {
            if (s[i] == '(')
            {
                t.Push(i + 1);
            }
            else
            {
                var left = t.Pop();
                ans[i] = left;
                ans[left - 1] = i + 1;
            }
        }
        WriteLine(string.Join("\n", ans));
    }
}