I knew LRU cache cold so my first instinct was to just reach for a doubly linked list plus a hashmap and call it a day.
Start by clarifying requirements and edge cases, then propose a data structure that combines a hash map for O(1) key lookup with a balanced structure for weight-based eviction and recency tracking. Discuss trade-offs between different implementations (e.g., heap vs. balanced tree) and explain how to handle tie-breaking by LRU efficiently.
Pro tip: Mention that eviction should be triggered only when total weight exceeds capacity, and that you can optimize by evicting multiple items in one put if necessary. Also, highlight that using a doubly linked list for recency within weight buckets can achieve O(1) updates for get and O(log n) for eviction.
Ask about expected operations, weight limits, tie-breaking rules, and concurrency needs. Confirm whether weights are positive and if capacity is fixed.
Propose a hash map for key-value lookup and a structure for ordering by weight and recency, such as a balanced BST (e.g., TreeMap) or a heap combined with a linked list.
Explain how to find and remove the heaviest items when over capacity, breaking ties by least-recently-used. Detail how to update total weight and maintain recency on get/put.
Discuss time and space complexity for get and put, and compare alternative approaches (e.g., heap vs. balanced tree) in terms of performance and implementation complexity.
Mention potential improvements like lazy eviction, batch eviction, or concurrency handling, and how the design scales for large datasets.
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