I jumped straight to trie and the interviewer immediately asked about memory.
Start by clarifying the constraints and expected query patterns, then propose a memory-efficient data structure like a trie or sorted array with binary search. Emphasize that since the list is static, you can preprocess it into a compact index that supports fast prefix lookups and department filtering without duplicating the data.
Pro tip: Mention that you would measure the actual memory footprint of the index and consider using memory-mapped files or succinct data structures to keep overhead minimal, showing you think about production constraints beyond just algorithmic complexity.
Ask about query patterns, update frequency, memory limits, and whether the list can be modified. Confirm that the list is static and that memory is the primary bottleneck.
Propose a trie or a sorted array of ngrams with binary search, possibly augmented with department IDs. Discuss trade-offs: tries can be memory-heavy, while sorted arrays with binary search are compact but may require additional structures for department filtering.
Explain how to quickly find all ngrams with the given prefix, then filter by department. Consider storing department IDs in a separate compact array or using a bitset per department if the number of departments is small.
Once candidates are found, sort by score descending and take the top k. If k is small, use a min-heap to avoid sorting all matches.
Quantify the memory overhead of your index and the time complexity of lookup. Discuss potential further optimizations like compression or caching.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.