N = int(input())
S = input()
stack = []
ans = [-1] * N
for i in range(N):
    if S[i] == '(':
        stack.append((S[i],i))
    else:
        p,ind = stack.pop()
        ans[i] = ind + 1
        ans[ind] = i + 1
print('\n'.join(map(str,ans)))