import copy
N=int(input())

S=list(input())

import heapq

A=[]

heapq.heapify(A)
s=copy.deepcopy(S)
for i in range(N):
    if S[i]=="(":
        heapq.heappush(A,-(i+1))
    else:
        s[i]=-heapq.heappop(A)
#print(s)

B=[]
heapq.heapify(B)
for i in range(N):
    if S[N-1-i]==")":
        heapq.heappush(B,N-i)
    else:
        s[N-1-i]=heapq.heappop(B)
#print(s)

for i in range(N):
    print(s[i])