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I went straight for the inverted index because it felt like the obvious answer, but then they pushed back and asked me to actually quantify the cost difference.
Start by clarifying requirements (data size, read/write ratio, latency needs) and then present both a naive scan and an inverted index solution. Compare their time/space trade-offs and recommend a hybrid or index-based approach based on the expected workload.
Pro tip: Mention that the inverted index must be kept consistent with add/update/delete operations, and propose using a write-through cache or transactional updates to avoid stale results.
Ask about the number of recipes, frequency of searches vs. updates, and latency requirements to determine the appropriate solution.
Describe a linear scan over all recipes, checking each recipe's ingredient list. Analyze its O(N*M) time complexity and O(1) extra space.
Explain building a hash map from ingredient to set of recipe IDs. Analyze O(1) average lookup time and O(total ingredients) space.
Compare time/space trade-offs and discuss how to keep the index updated on add/update/delete operations, including concurrency and consistency.
Recommend an approach based on requirements, and mention scaling considerations like sharding, caching, or using a search engine (e.g., Elasticsearch).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.