#include <stdio.h>

int top = 0, stack[100000];

void push(int i)
{
	stack[top] = i;
	++top;
}

int pop(void)
{
	--top;
	return stack[top];
}

int main(void)
{
	char S[200001];
	int N, ans[200000], tmp, i;
	scanf("%d%s", &N, S);
	for (i = 0; i < N; ++i) {
		if (S[i] == '(') push(i);
		else {
			tmp = pop();
			ans[i] = tmp + 1;
			ans[tmp] = i + 1;
		}
	}
	for (i = 0; i < N; ++i) printf("%d\n", ans[i]);
	return 0;
}