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Start by clarifying the problem constraints and assumptions, then propose a data structure that efficiently supports both allocation and deallocation. Discuss the trade-offs between time and space complexity, and outline how you would handle the 8-byte alignment requirement and unique ID tracking.
Pro tip: Mention that you would use a segment tree or a balanced BST to track free blocks, and a hash map to map IDs to their allocated ranges. This shows you understand the need for efficient search and update operations.
Ask about the expected size of the binary array, frequency of operations, and whether IDs can be reused. Confirm that allocation must be leftmost and 8-byte aligned.
Propose a data structure to track free blocks (e.g., segment tree, balanced BST, or interval tree) and a hash map to map allocation IDs to their start index and size.
Describe how to find the leftmost aligned free block of the requested size. For a segment tree, store the maximum free block size in each node and search left-first.
Explain how to use the hash map to find the allocated range for an ID, mark those cells as free, and update the free block data structure. Return the number of cells freed.
Discuss time and space complexity for both operations. Compare alternatives like bitmaps with linear scan vs. segment tree, and justify your choice based on expected usage.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.