N=int(input())
S=input()

Q=[]

ANS=[0]*(N+1)

for i in range(N):
    if S[i]=="(":
        Q.append(i+1)
    else:
        x=Q.pop()

        ANS[x]=i+1
        ANS[i+1]=x

for ans in ANS[1:]:
    print(ans)