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Comments on Detecting balanced parentheses in Python

Parent

Detecting balanced parentheses in Python

+10
−0

The problem

Given a string s containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid.

An input string is valid if:

  1. Open brackets are closed by the same type of brackets.
  2. Open brackets are closed in the correct order.

The solution

def isValid(s: str) -> bool:
    if len(s) % 2 != 0:
        return False

    for i in range(len(s) // 2):
        s = s.replace("()", "").replace("[]", "").replace("{}", "")

    return len(s) == 0

My approach to the problem is replacing the pairs. The string is balanced if the string is empty after replacing len(str) // 2 times. Is this a good approach? How can I improve my algorithm?

History

0 comment threads

Post
+5
−0

You've got an inefficiency in your code, as you always do replacements 3/2 times the length of the string. That is unnecessarily expensive.

By instead testing in each iteration whether the length actually changed, you get a much improved performance:

def is_valid(s: str) -> bool:
    if len(s) % 1 != 0:
        return False

    # this initial value causes the loop to be skipped entirely for empty strings
    prevlen = 0

    # stop as soon as no further replacements have been made
    while len(s) != prevlen:
        prevlen = len(s)
        s = s.replace("()", "").replace("[]", "").replace("{}", "")

    return len(s) == 0

I've put it together with your code and hkotsubo's timing code on tio.run, and got the following:

--------------
Unbalanced in the middle
0.04957069695228711
0.002779866976197809
--------------
Unbalanced in the beginning
0.05233071401016787
0.0026999289984814823
--------------
Unbalanced in the end
0.05092682002577931
0.0026755660073831677
--------------
Balanced
0.047405752004124224
0.002398615994025022

Try it online!

History

1 comment thread

Possible typo in code (1 comment)
Possible typo in code
trichoplax‭ wrote 2 months ago
if len(s) % 1 != 0:

Should this say % 2 rather than % 1?