Start by clarifying requirements and constraints, then propose a hybrid data structure combining a doubly linked list for room progression and a hash map for player states, with a heap-based leaderboard for topK queries. Discuss handling duplicate scores in the heap by storing (score, playerId) tuples and using a lazy deletion strategy for updates.
Pro tip: Emphasize the trade-offs between update efficiency and query efficiency, and mention that for ML applications, you might need to support approximate topK with sketches like Count-Min Sketch for scalability.
Ask about expected number of players, frequency of operations, and whether topK needs to be exact or approximate. This guides data structure choices.
Use a doubly linked list for rooms to allow O(1) moveToNextRoom, a hash map for player states (current room, total score), and a max-heap for leaderboard.
Store entries as (score, playerId) to avoid ambiguity. For updates, use lazy deletion: push new entry and mark old as invalid, cleaning up when popped.
For each operation: addPlayer O(1), recordTask O(log N) due to heap update, moveToNextRoom O(1), getPlayerState O(1), topK O(K log N) or O(K) with heapify.
Explain why this design balances update and query performance, and mention alternatives like balanced BST or skip list for different trade-offs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.