My first instinct was to just scan and count mismatches, but getting the actual removal right took a bit more work.
Use a stack or counter to track unmatched parentheses, then remove them. Alternatively, compute the number of invalid open and close parentheses and filter them out. Return any valid string with minimal removals.
Pro tip: Clarify that multiple valid answers exist and that your solution returns one of them; also mention that the algorithm runs in O(n) time and O(n) space, which is optimal.
Confirm that the goal is to remove the fewest parentheses to make the string valid, and that any valid result is acceptable. Clarify that a valid string has balanced parentheses and no unmatched ones.
Decide between using a stack to track indices of unmatched parentheses or using two passes with counters. Both are O(n) time; the stack uses O(n) space, while counters can be O(1) space if only counts are needed.
Scan left to right to find unmatched closing parentheses (when count of ')' exceeds '('). Then scan right to left to find unmatched opening parentheses. Mark these indices for removal.
Build the output string by including only characters whose indices are not marked for removal. Ensure the result is valid and has minimal removals.
State that the algorithm runs in O(n) time and O(n) space (or O(1) if using counters and building result on the fly). Discuss edge cases like empty string, all invalid, or already valid.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.