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.
'''

@author: linhz
'''

import sys

if __name__ == '__main__':
    s = input()
    leftCount = 0
    ansList = []
    ansFlag = True
    sharpCount = 0
    for c in s:
        if c == '(':
            leftCount += 1
        elif c == ')':
            leftCount -= 1
            if leftCount < 0:
                ansFlag = False
        elif c == '#':
            leftCount -= 1
            if leftCount < 0:
                ansFlag = False
            else:
                ansList.append(1)
                sharpCount += 1
        else:
            sys.stderr.write("Unexpected character:%c" % (c))
    if ansFlag:
        ansList[-1] += leftCount
        leftCount = 0
        sharpCount = 0
        for c in s:
            if c == '(':
                leftCount += 1
            elif c == ')':
                leftCount -= 1
                if leftCount < 0:
                    ansFlag = False
            elif c == '#':
                leftCount -= ansList[sharpCount]
                if leftCount < 0:
                    ansFlag = False
            else:
                sys.stderr.write("Unexpected character:%c" % (c))
        if ansFlag:
            for i in ansList:
                print(i)
        else:
            print(-1)
    else:
        print(-1)
