I went with lower_bound first since it felt cleaner to reason about.
Start by clarifying the problem and choosing a specific variant (e.g., lower_bound) to implement. Write clean code with clear invariants, then walk through edge cases and test with examples. Emphasize how invariants ensure correctness and how edge cases are handled.
Pro tip: Relate binary search to ML engineering tasks like hyperparameter tuning or threshold optimization, and mention how invariants prevent off-by-one errors in production code.
Ask clarifying questions to confirm the exact behavior needed (e.g., find first occurrence). State which variant you will implement and why.
Clearly state the invariant (e.g., answer lies in [lo, hi]) and write the loop ensuring it holds. Use consistent bounds and update rules.
Explicitly test empty array, single element, target outside range, and duplicates. Explain how the code handles each.
State O(log n) time and O(1) space. Discuss trade-offs between variants (e.g., lower_bound vs upper_bound) and when to use each.
Mention applications like finding optimal thresholds, quantiles, or searching sorted model outputs, showing relevance to the role.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.