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The delta part tripped me up more than I expected.
Clarify requirements and constraints first, then propose a data structure that supports efficient updates and sorted retrieval. Discuss trade-offs between different approaches and justify your choice based on expected usage patterns.
Pro tip: Mention that you would consider using a balanced BST or a skip list to achieve O(log n) updates and O(n) sorted retrieval, but also discuss simpler alternatives like a hash map with periodic sorting if updates are infrequent.
Ask about expected frequency of updates vs. retrievals, whether priorities can be negative, and if tasks can be deleted. This informs the choice of data structure.
Suggest using a balanced BST (e.g., TreeMap) or a skip list to maintain tasks sorted by priority, allowing O(log n) updates and O(n) retrieval. Alternatively, a hash map with a dirty flag and sorting on demand.
Compare time and space complexity of each approach. Discuss scenarios where one is better: e.g., frequent updates favor BST, infrequent updates favor lazy sorting.
Consider tasks with equal priorities (stable ordering?), negative deltas, and concurrency if applicable. Mention how your solution handles these.
Outline the implementation details, including how to update priority and retrieve sorted tasks. Suggest unit tests for correctness and performance.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.