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.
"""
Codeforces Contest 282 Div 1 Problem A

Author  : chaotic_iak
Language: Python 3.3.4
"""

def main():
    s = read(0)
    ct = 0
    lastsharp = -1
    for i in range(len(s)):
        if s[i] == "#":
            ct += 1
            lastsharp = i
    lv = 0
    lvlast = 0
    for i in range(len(s)):
        if s[i] == "(":
            lv += 1
            if i > lastsharp: lvlast += 1
        else:
            lv -= 1
            if i > lastsharp: lvlast -= 1
            if lv < 0:
                return -1
    if lvlast > 0: return -1
    print("1\n" * (ct-1) + str(lv+1))

################################### NON-SOLUTION STUFF BELOW

def read(mode=2):
    # 0: String
    # 1: List of strings
    # 2: List of integers
    inputs = input().strip()
    if mode == 0: return inputs
    if mode == 1: return inputs.split()
    if mode == 2: return list(map(int, inputs.split()))

def write(s="\n"):
    if s is None: s = ""
    if isinstance(s, list): s = " ".join(map(str, s))
    s = str(s)
    print(s, end="")

write(main())