So this is LC 381 but with TTL thrown on top, which sounds manageable until you actually try to keep getRandom truly O(1).
Start by designing the core data structure for O(1) insert, remove, and getRandom without TTL, then layer on TTL handling using lazy expiration. Discuss duplicate values with different TTLs by storing unique entries (e.g., value+timestamp) and using a hash map to track active entries. Compare lazy expiration with active eviction strategies, highlighting trade-offs in complexity and performance.
Pro tip: Emphasize that lazy expiration keeps operations O(1) amortized by deferring cleanup to getRandom or background threads, but be prepared to discuss how to avoid unbounded memory growth. Mention that active eviction can provide stricter TTL guarantees but adds overhead and complexity.
Design a structure using a dynamic array (for O(1) random access) and a hash map (for O(1) lookup/removal) to support insert, remove, and getRandom in O(1) amortized time.
Store expiration timestamps with each entry. On getRandom, skip and remove expired entries; on remove, check if the entry is expired and treat as removed. This keeps operations O(1) amortized.
Allow multiple entries for the same value by treating each insertion as a unique entry (e.g., with a unique ID or timestamp). Use the hash map to map value to a set of entry IDs, and ensure remove(value) removes all or a specific entry based on requirements.
Discuss lazy expiration (simple, O(1) amortized, but memory may grow) versus active eviction using a priority queue (min-heap by expiration) or timer wheel (bucketed time slots). Active eviction provides timely removal but adds O(log n) or O(1) overhead per operation and requires background threads.
Mention how to handle concurrent access (e.g., locks, lock-free structures) and how to scale with sharding or partitioning. Discuss memory management and potential need for periodic cleanup.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.