Malek has recently found a treasure map. While he was looking for a treasure he found a locked door. There was a string *s* written on the door consisting of characters '(', ')' and '#'. Below there was a manual on how to open the door. After spending a long time Malek managed to decode the manual and found out that the goal is to replace each '#' with one or more ')' characters so that the final string becomes beautiful. 

Below there was also written that a string is called beautiful if for each *i* (1 ≤ *i* ≤ |*s*|) there are no more ')' characters than '(' characters among the first *i* characters of *s* and also the total number of '(' characters is equal to the total number of ')' characters. 

Help Malek open the door by telling him for each '#' character how many ')' characters he must replace it with.
The first line of the input contains a string *s* (1 ≤ |*s*| ≤ 10<sup class="upper-index">5</sup>). Each character of this string is one of the characters '(', ')' or '#'. It is guaranteed that *s* contains at least one '#' character.
from cmath import inf
from operator import itemgetter
from typing import *
from collections import deque, Counter, defaultdict
from bisect import *
import heapq, math
from functools import cmp_to_key, reduce
from itertools import groupby, islice, zip_longest

# from sortedcontainers import SortedSet, SortedList


def main():
    s = input()
    n = len(s)
    arr = [0 for _ in range(n)]
    arr[0] = 1 if s[0] == "(" else -1
    for i in range(1, n):
        arr[i] += arr[i - 1]
        if s[i] == "(":
            arr[i] += 1
        elif s[i] == ")":
            arr[i] -= 1
    if min(arr) < 0 or arr[-1] == 0:
        print(-1)
    else:
        max_arr = [inf for _ in range(n)]
        max_arr[-1] = arr[-1]
        for i in range(n - 2, -1, -1):
            max_arr[i] = min(arr[i], max_arr[i + 1])
        ans, cnt = [], 0
        for i in range(n):
            if s[i] == "#":
                ans.append(max_arr[i] - cnt)
                cnt += max_arr[i] - cnt
        for it in ans:
            print(it)


main()
