import java.util.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    String s = sc.next();
    Stack<Integer> stack = new Stack<Integer>();
    int[] cor = new int[n];
    for(int i = 0; i < n; i++) {
      char c = s.charAt(i);
      if(c == '(') {
        stack.push(i + 1);
      } else {
        int pos = stack.pop();
        cor[pos - 1] = i + 1;
        cor[i] = pos; 
      }
    }
    for(int i = 0; i < n; i++) {
      System.out.println(cor[i]);
    }
  }
}