I got the single-word part out pretty fast, map from token to set of doc IDs, easy.
Start by clarifying requirements and assumptions, then describe the inverted index design with tokenization, case-folding, and position lists. Explain how single-word search uses the postings list directly, while phrase search intersects postings and checks positional adjacency. Finally, analyze time and space complexity for each operation and discuss trade-offs.
Pro tip: Mention that phrase search can be optimized by processing the least frequent term first to reduce the number of candidate documents, and that storing positions increases index size but enables phrase queries.
Ask about document size, query patterns, expected latency, and whether updates are needed. State assumptions about tokenization (e.g., splitting on whitespace and punctuation) and case-folding (lowercasing).
Describe the index as a hash map from terms to postings lists. Each posting contains a document ID and a list of positions where the term occurs. Explain tokenization and case-folding steps.
For a single-word query, tokenize and case-fold the query, then look up the term in the index and return the document IDs from its postings list. Complexity: O(1) average lookup plus O(k) to return results, where k is the number of matching documents.
Tokenize and case-fold the phrase. Retrieve postings lists for each term. Intersect documents and check if positions are consecutive and in order. Complexity: O(sum of postings list lengths) for intersection, plus O(m * p) for position checks, where m is number of candidate docs and p is phrase length.
Discuss time and space complexity: index size O(total tokens), single-word search O(1) average, phrase search O(total postings for terms). Mention trade-offs: storing positions increases index size but enables phrase queries; skipping positions saves space but loses phrase capability.
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