import java.io.*;
import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        char[] prens = sc.next().toCharArray();
        ArrayDeque<Integer> stack = new ArrayDeque<>();
        int[] ans = new int[n];
        for (int i = 0; i < n; i++) {
            if (prens[i] == '(') {
                stack.push(i);
            } else {
                int tmp = stack.pop();
                ans[tmp] = i;
                ans[i] = tmp;
            }
        }
        StringBuilder sb = new StringBuilder();
        for (int x : ans) {
            sb.append(x + 1).append("\n");
        }
        System.out.print(sb);
    }
}

class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}