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The eviction policy is where people trip up.
Start by clarifying requirements and edge cases, then propose a design using a hash map for O(1) key lookup and a frequency-indexed doubly linked list to maintain LRU order within each frequency. Explain how get and put operations update frequencies and handle eviction, and analyze time and space complexity.
Pro tip: Mention that LFU is prone to cache pollution from stale frequently-used items; you can address this by using a frequency aging mechanism or a max-heap with lazy deletion, showing awareness of real-world trade-offs.
Ask about capacity constraints, expected operation mix, and whether keys/values are integers. Discuss edge cases like capacity 0, updating existing keys, and tie-breaking.
Propose a hash map from key to node, and a frequency map from frequency to a doubly linked list of nodes (maintaining LRU order). Also maintain a min frequency pointer for O(1) eviction.
For get: if key exists, update its frequency and move it to the appropriate frequency list, then return value. For put: if key exists, update value and frequency; else insert new node with frequency 1, and if over capacity, evict the LRU node from the min frequency list.
Explain that both operations are O(1) average due to hash map lookups and constant-time list manipulations. Discuss space complexity O(capacity) and potential improvements like using a balanced tree for frequencies if needed.
Walk through a small example (e.g., capacity 2) to demonstrate correct eviction and tie-breaking. Mention how to handle concurrent access if relevant.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.