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Jamal
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Balanced smileys check algorithm (part 3)

This is a follow-up for here, for bug fixes and applied advice.

Problem

Your friend John uses a lot of emoticons when you talk to him on Messenger. In addition to being a person who likes to express himself through emoticons, he hates unbalanced parenthesis so much that it makes him go :(

Sometimes he puts emoticons within parentheses, and you find it hard to tell if a parenthesis really is a parenthesis or part of an emoticon.

A message has balanced parentheses if it consists of one of the following:

  • An empty string ""
  • One or more of the following characters: 'a' to 'z', ' ' (a space) or ':' (a colon)
  • An open parenthesis '(', followed by a message with balanced parentheses, followed by a close parenthesis ')'.
  • A message with balanced parentheses followed by another message with balanced parentheses.
  • A smiley face ":)" or a frowny face ":("
  • Write a program that determines if there is a way to interpret his message while leaving the parentheses balanced.

I'm working on this balanced smileys checking algorithm, and my current solution is very naive, with just two rules:

  1. At any point, the number of ) (close) should be less than the number of ( (open) + number of :( (frown)
  2. At the end, the number of ( (open) should be less than the number of ) (close) and :) (smile)

I'm wondering if there are any bugs in my checking logic. Any advice on algorithm time complexity improvement or code style advice is highly appreciated as well.

def check_balance(source):
    left = 0
    right = 0
    smile = 0 # :)
    frown = 0 # :(
    pre = ''
    for c in source:
        if c == ')':
            if pre == ':':
                smile += 1
            else:
                right += 1
                if right > left + frown:
                    return False
        elif c == '(':
            if pre == ':':
                frown += 1
            else:
                left += 1
        pre = c
    if left > right + smile:
        return False
    return True

if __name__ == "__main__":
    raw_smile_string = 'abc(b:)cdef(:()' # true
    raw_smile_string = 'a)' # false
    raw_smile_string = ')('  # false
    print check_balance(raw_smile_string)
Lin Ma
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