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

    D = []
    d = 1
    for s in S:
        if s == "(":
            D.append(d)
            d += 1
        else:
            d -= 1
            D.append(d)

    idx_stack = []
    depth_stack = [-1]
    correspond = [-1] * N

    for idx, depth in enumerate(D):
        idx_stack.append(idx)
        depth_stack.append(depth)

        if depth_stack[-1] == depth_stack[-2]:
            start = idx_stack[-2]
            end = idx_stack[-1]

            correspond[start] = end
            correspond[end] = start

            idx_stack = idx_stack[:-2]
            depth_stack = depth_stack[:-2]

    for c in correspond:
        print(c+1)





main()