The problem itself is straightforward if you've seen it, but I fumbled explaining why a plain hashmap isn't enough.
Start by clarifying requirements (capacity, O(1) get/put, eviction policy) and then propose a hash map combined with a doubly linked list to achieve O(1) operations. Walk through the design, implement the core methods, and discuss trade-offs and edge cases.
Pro tip: Mention that you would use a sentinel head and tail node to simplify edge cases in the doubly linked list, and explicitly state that this avoids null checks and makes the code cleaner and less error-prone.
Confirm that the cache has a fixed capacity, that get and put must be O(1), and that the eviction policy is least recently used. Ask about thread safety if relevant.
Explain that a hash map provides O(1) access to nodes, and a doubly linked list maintains recency order with O(1) insertion and deletion. Together they meet the O(1) requirement.
Define a node with key, value, prev, and next pointers. The cache holds a map from key to node, a capacity, and sentinel head/tail nodes to simplify list operations.
For get: if key exists, move node to front (most recently used) and return value; else return -1. For put: if key exists, update value and move to front; else create node, add to front, and if over capacity, remove least recently used node (tail's prev) and delete from map.
State that both operations are O(1) time and O(capacity) space. Discuss alternatives like using an ordered dictionary (if language supports) or trade-offs with other eviction policies (e.g., LFU).
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