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I started by building lookup maps: one from user to their rated movies, another from movie to all users who rated it.
Start by clarifying the problem and edge cases, then outline a two-phase algorithm: first build a user-to-movies mapping and identify similar users who share at least one commonly-rated movie with the target user; second, collect candidate movies rated 4 or 5 by those similar users, excluding movies the target user has already seen. Finally, analyze time and space complexity in terms of U, M, and R, and discuss deduplication and ordering strategies.
Pro tip: Mention that you would use a set for deduplication and a heap or sorting for ordering by relevance (e.g., number of similar users who rated the movie highly), and note that the choice depends on whether you need top-N recommendations or all candidates.
Ask about the size of the dataset, whether ratings are on a 1-5 scale, if there are missing values, and whether the function should return all candidates or top-N. Also clarify if 'commonly-rated movie' means any movie rated by both users, regardless of rating value.
Build a mapping from user to set of movies they've rated, and optionally a mapping from movie to set of users who rated it. Identify similar users by intersecting the target user's rated movies with each other user's rated movies. Then, for each similar user, collect movies they rated 4 or 5 that the target user hasn't seen.
Use a set to deduplicate candidate movies. For ordering, consider sorting by the number of similar users who rated the movie 4 or 5, or by average rating among similar users. If only top-N are needed, use a min-heap of size N for efficiency.
Time: Building user-movie mapping takes O(R). Finding similar users takes O(U * min(R/U, M)) in the worst case, but can be optimized by iterating over movies the target user rated and collecting co-raters. Collecting candidates takes O(S * avg_movies_per_user), where S is the number of similar users. Space: O(R) for the mapping, plus O(M) for the candidate set.
Mention that the naive approach may be inefficient for large U and R; suggest optimizations like precomputing user similarities, using inverted indices, or limiting similar users to top-K by similarity. Also discuss whether to include movies with few ratings or apply a threshold.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.