N = int(input())
S = [""]+list(input())
stack = []
lst = [0]*(N+1)

for i in range(1,N+1):
    if S[i]=="(":
        stack.append(i)
    else:
        lst[stack[-1]] = i
        lst[i] = stack.pop(-1)

for i in lst[1:]:
    print(i)