The base case is pretty quick to code up but the follow-ups are where you can fumble.
Start by clarifying the problem constraints (e.g., data types, list sizes, memory limits) and then propose a solution using a hash set for O(1) lookups, iterating through list a and checking membership in the set built from list b. Discuss time and space complexity, and consider edge cases like duplicates in a and empty lists.
Pro tip: Mention that you would use a set for b to achieve O(n + m) time complexity, but also note that if memory is a constraint, sorting b and using binary search could be an alternative with O(m log m + n log m) time and O(1) extra space (if sorting in-place is allowed). This shows you consider trade-offs.
Ask about input types, whether lists can be empty, if duplicates in a should be preserved, and any memory or time constraints. Confirm that the output should maintain the original order of a.
Explain that you would convert list b into a set for O(1) membership checks, then iterate through list a and collect elements not in the set. This yields O(n + m) time and O(m) space.
State the time and space complexity of the proposed solution. Discuss alternative approaches (e.g., sorting b and using binary search) and their trade-offs in terms of time, space, and simplicity.
Mention edge cases such as empty lists, all elements of a in b, no elements in b, and duplicates in a. Explain how the solution handles them.
Implement the solution in a clear, modular way, and walk through a test case (e.g., the provided example) to verify correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.