Start by clarifying the problem constraints and edge cases, then propose a data structure like a balanced BST or Fenwick tree to efficiently find the next available warehouse. Explain how to handle closures and resets, and analyze the time complexity per event.
Pro tip: Mention that using a union-find with path compression can efficiently skip closed warehouses, and a segment tree can handle capacity updates and range queries. This shows you consider both simplicity and performance.
Ask about input size, event types, and tie-breaking rules. Identify edge cases like all warehouses closed, no packages, or pointer wrapping.
Select a balanced BST (e.g., TreeSet) or Fenwick tree to maintain available warehouses and capacities. Use a union-find for closed warehouses to skip them quickly.
For each PACKAGE event, find the first available warehouse at or after the pointer using binary search or tree operations. Update capacity and pointer. For CLOSURE, remove the warehouse and adjust structures.
When the pointer reaches the end, wrap around to the beginning. Ensure that full warehouses are skipped until reset, and closed warehouses are permanently removed.
Aim for O(log n) per event using efficient data structures. Discuss trade-offs between different approaches (e.g., segment tree vs. balanced BST).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.