def main():
    N = int(input())
    S = input()

    lst = [0] * N
    stack = []
    apnd = stack.append
    pop_ = stack.pop
    i = 1
    for j, s in enumerate(S):
        if s == '(':
            apnd(i)
            lst[j] = i
            i += 1
        else:
            lst[j] = pop_()

    for i, j in enumerate(lst):
        indexes = [k for k, x in enumerate(lst) if x == j]
        idx = indexes[0] ^ indexes[1] ^ i
        print(idx + 1)

main()