import collections
N = int(input())
S = input()
lsi = []
ii = 0

for i in range(N):
    if S[i] == '(':
        lsi.append(ii)
        ii += 1
    else:
        ii -= 1
        lsi.append(ii)

d = collections.defaultdict(list)
ans = [0]*(N)
for i in range(N):
    if d[lsi[i]] != []:
        p = d[lsi[i]].pop()
        ans[i] = p
        ans[p] = i
    else:
        d[lsi[i]].append(i)

for i in range(N):
    print(ans[i]+1)