n = int(input())
S = list(input())

Stack = []
ANS = [0 for _ in range(n)]
for i in range(n):
    if S[i] == '(':
        Stack.append(i)
    else:
        idx = Stack.pop()
        ANS[idx] = i + 1
        ANS[i] = idx + 1
print(*ANS, sep='\n')