The naive approach is obvious: for each user grab their last K movies as a set, then do pairwise intersections across all users.
Start by clarifying the problem constraints and edge cases, then propose an efficient algorithm using inverted indices or minhashing to avoid comparing all user pairs. Analyze time and space complexity, and discuss trade-offs between exact and approximate methods.
Pro tip: Mention that in practice, Netflix might use approximate similarity (e.g., MinHash/LSH) for scalability, but for exact results, inverted indices on movie IDs are effective. Also, highlight the importance of handling ties in recency and ensuring distinct users.
Confirm definitions: 'most recent K movies' means the last K entries in each user's history (if history length < K, use all). 'Share at least M movies' means intersection size >= M. Pairs must be distinct users.
For each user, extract the set of their last K movies. Build an inverted index mapping each movie to the list of users who watched it in their last K. Alternatively, use a hash-based approach to count common movies per pair.
Iterate through each movie's user list, and for each pair of users in that list, increment a counter for that pair. After processing all movies, output pairs with counter >= M. Use a hash map to store pair counts efficiently.
Time: O(sum over movies of (freq_movie choose 2)) + O(U*K) for preprocessing, where U is number of users. Space: O(number of distinct pairs) for the counter map, plus O(U*K) for the inverted index.
For large datasets, consider approximate methods like MinHash/LSH to reduce pair comparisons, or prune users with history length < M. Discuss time-space trade-offs and potential parallelization.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.