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The update-with-correction part is what trips you up if you jump straight to an array or sorted list.
Start by clarifying requirements: updates can correct past entries, and queries for current, max, and min prices must be efficient. Propose a data structure like a balanced BST or two heaps with lazy deletion, and discuss trade-offs between update and query times.
Pro tip: Mention that using a balanced BST (e.g., TreeMap in Java) allows O(log n) updates and O(1) min/max queries, but if updates are frequent and queries rare, a simpler approach like maintaining a list with periodic sorting might suffice. Always discuss trade-offs based on expected usage patterns.
Ask about the frequency of updates vs. queries, the range of stock prices, and whether updates are timestamped or indexed. This determines the optimal data structure.
Suggest a balanced binary search tree (e.g., TreeMap) to store price entries keyed by timestamp/index, allowing O(log n) updates and O(1) min/max via first/last entries. Alternatively, use two heaps with lazy deletion for min and max, but updates become O(log n) with potential O(n) cleanup.
Compare time complexities: BST gives O(log n) update, O(1) min/max; heaps give O(log n) update, O(1) min/max but with lazy deletion overhead. Discuss memory and implementation complexity.
Explain how to update a past entry: in BST, remove old value and insert new; in heaps, mark old as invalid and insert new, cleaning up lazily. Ensure min/max queries ignore invalid entries.
Based on typical usage (frequent updates, occasional queries), recommend a balanced BST for simplicity and guaranteed performance, or a heap-based approach if memory is constrained.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.