import java.io.FileNotFoundException;
import java.util.Arrays;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) throws FileNotFoundException {
		new Main().run();
	}

	void run() throws FileNotFoundException {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		String str = sc.next();
		int[] pre = new int[N];
		for (int i = 0; i < N; ++i) {
			pre[i] = i - 1;
		}
		int[] ans = new int[N];
		for (int i = 0; i < N; ++i) {
			if (pre[i] >= 0 && str.charAt(i) == ')' && str.charAt(pre[i]) == '(') {
				ans[pre[i]] = i;
				ans[i] = pre[i];
				if (i + 1 < N && pre[i] >= 0)
					pre[i + 1] = pre[pre[i]];
			}
		}
		for (int i = 0; i < N; ++i) {
			System.out.println(ans[i] + 1);
		}
	}

	void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}
}