The basic structure came to me fast: per-key versioned logs with binary search on snapshot IDs.
Start by clarifying requirements and constraints, then propose a design that balances time and space efficiency, such as a persistent data structure with path copying or a versioned approach. Discuss trade-offs between different implementations and justify your choice based on the operations' expected frequency and snapshot lifetime.
Pro tip: Emphasize that snapshots should be immutable and that writes after a snapshot must not affect earlier snapshots, which is naturally achieved with persistent data structures. Mention that space efficiency can be improved by sharing unchanged nodes between versions.
Ask about expected workload (read/write ratio, number of snapshots), memory constraints, and whether snapshots need to be long-lived. This informs the choice of data structure.
Suggest using a persistent balanced binary search tree (e.g., AVL or red-black tree) with path copying for snapshots. Alternatively, consider a versioned hash map with copy-on-write or a log-structured approach.
Explain how set and get work in O(log n) time by traversing and updating the tree. For snapshot, return the root pointer; for get-at-snapshot, traverse the tree from the snapshot's root.
Compare time and space complexity: path copying uses O(log n) space per write, while full copy uses O(n). Discuss alternatives like versioned arrays or hash maps with version chains.
Mention optimizations like node sharing, structural sharing, and garbage collection of old snapshots. Conclude with why the chosen design meets the requirements.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.