I started with the adjacency map part, which felt fine.
Start by defining a simple in-memory graph representation using adjacency sets for O(1) friendship operations, then introduce snapshots by discussing strategies like full copies, copy-on-write, and persistent data structures. Compare time/space trade-offs, emphasizing how persistent data structures (e.g., immutable balanced trees) enable efficient snapshots with structural sharing. Conclude with a recommendation based on expected read/write patterns and snapshot frequency.
Pro tip: Mention that snapshots can be implemented with a versioned adjacency list using persistent data structures, and highlight that this approach is used in real systems like Git and Datomic. This shows awareness of production-grade solutions.
Ask about expected scale (number of users, friendships), read/write ratio, snapshot frequency, and whether snapshots need to be immutable or can be garbage-collected. This guides data structure choices.
Propose an adjacency list using hash sets (or hash maps) for O(1) average-case add/remove friendship and O(1) retrieval of friends. Discuss memory overhead and alternatives like sorted arrays for cache efficiency.
Present three approaches: (a) full copy of the graph per snapshot (simple, high space), (b) copy-on-write with versioning (moderate space, O(1) snapshot), (c) persistent data structures (e.g., immutable balanced trees) with structural sharing (low space, O(log n) updates).
Compare each strategy: full copy uses O(V+E) space per snapshot and O(1) snapshot time; copy-on-write uses O(1) snapshot time but O(V+E) worst-case space; persistent structures use O(log n) update time and O(1) snapshot time with O(V+E) total space across all versions. Discuss read performance for getFriendsAt.
Choose a strategy based on requirements: for frequent snapshots and infrequent writes, persistent data structures are ideal; for infrequent snapshots, full copy may suffice. Mention hybrid approaches like periodic full snapshots with incremental deltas.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.