My first instinct was a stack to track unmatched opens, then a second pass to mark unmatched closes.
Use a stack to track indices of unmatched parentheses, then mark those indices for removal. Alternatively, use two passes with counters to identify unmatched closing and opening parentheses. The key is to achieve O(n) time by scanning the string a constant number of times.
Pro tip: Clarify whether you need to return the valid string or just the minimum number of removals; often interviewers expect the modified string. Also, mention that multiple valid strings may exist, so any valid result is acceptable.
Confirm that you need to remove the minimum number of parentheses to make the string valid, and that the string contains lowercase letters and parentheses. Ask if you should return the modified string or just the count.
Decide between a stack-based method (tracking indices) or a two-pass counter method. Both achieve O(n) time and O(n) space, but the stack method directly gives the indices to remove.
For stack: iterate through string, push '(' indices, pop on matching ')', and mark unmatched ')' indices. Then mark remaining '(' indices in stack. For two-pass: first pass remove unmatched ')', second pass remove unmatched '(' from the end.
Create a set of indices to remove, then construct the resulting string by skipping those indices. Alternatively, build the string during the second pass.
State that time complexity is O(n) and space complexity is O(n). Walk through edge cases like empty string, all parentheses, and no parentheses.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.