I went straight to a stack-based approach and it worked, but I fumbled explaining the minimum removal part.
Use a stack to track unmatched opening parentheses and a set to mark indices of invalid closing parentheses. Then build the result by skipping marked indices and any unmatched opening parentheses. This ensures the minimum number of removals.
Pro tip: After solving, discuss how you would test edge cases like empty string, all invalid, and nested valid parentheses. Also, mention that the solution runs in O(n) time and space, which is optimal.
Confirm that the goal is to remove the minimum number of parentheses to make the string valid, and that any valid result is acceptable. Ask if the string can be empty or contain only parentheses.
Use a stack to keep track of indices of unmatched opening parentheses. Use a boolean array or set to mark indices of invalid closing parentheses.
Iterate through the string: push indices of '(' onto the stack; for ')', if stack is not empty, pop, else mark this index as invalid. After traversal, mark all indices remaining in the stack as invalid.
Construct the result by including only characters whose indices are not marked as invalid. Return the resulting string.
State that the time complexity is O(n) and space complexity is O(n). Walk through a few test cases to verify correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.