I recognized it as a cousin of the longest valid parentheses problem but the ask is subtly different, you're counting what's left over rather than what's valid.
Use a single pass with a counter to track unmatched opening parentheses, incrementing on '(' and decrementing on ')' when possible, while counting unmatched closing parentheses separately. At the end, sum the unmatched opening and closing counts to get the total unmatched parentheses.
Pro tip: Clarify with the interviewer whether the count should include both unmatched opening and closing parentheses, and mention that the algorithm can be easily adapted to return the actual unmatched characters if needed.
Confirm that the goal is to count the total number of unmatched parentheses after removing all valid pairs, and that the input string consists only of '(' and ')'.
Decide between using a stack or a simple counter. For this problem, a counter is sufficient and more space-efficient, achieving O(1) space.
Iterate through the string: for each '(', increment a counter for unmatched openings; for each ')', if there is an unmatched opening, decrement it, otherwise increment a counter for unmatched closings.
Write clean code with meaningful variable names, and test with edge cases like empty string, all opening, all closing, and mixed patterns.
State that the time complexity is O(n) and space complexity is O(1), which is optimal for this problem.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.