The followees side was easy since we already had a forward adjacency map from part one.
Start by clarifying the data model and expected scale, then propose an adjacency-list representation with separate follower and followee maps. Implement the method to return both lists in O(1) or O(followers + followees) time, and discuss trade-offs for large-scale systems.
Pro tip: Mention that in a real system you'd likely use a graph database or a distributed store like Redis for fast lookups, and that the method should return immutable copies to avoid external mutation.
Ask about expected scale (millions of users?), read/write ratio, and whether the lists need to be sorted or paginated. Confirm the return type (e.g., List<Integer> or Set<Integer>).
Propose using two hash maps: one mapping user ID to a set of follower IDs, and another mapping user ID to a set of followee IDs. This gives O(1) average-time access to each list.
Write a method that looks up the user ID in both maps and returns the corresponding sets (or lists). Handle the case where the user has no followers/followees by returning empty collections.
State that time complexity is O(1) for retrieval (or O(n) if copying to a list), and space is O(E) where E is the number of edges. Discuss alternatives like adjacency matrix (O(V^2) space) or database queries.
Mention how this would scale with sharding, caching, or using a graph database. Also note potential need for pagination or asynchronous updates in a distributed setting.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
This is where the interview actually lived.
Start by clarifying the graph's access patterns and scale, then compare the two designs on memory, write latency, and read performance. Conclude with a recommendation that balances the workload's dominant operations and consistency requirements.
Pro tip: Mention that reverse edges can be derived from forward edges via a batch job or materialized view, so you can start with forward-only and add reverse maps later if read patterns demand it—this shows you think about evolution, not just static tradeoffs.
Ask about the graph size, read/write ratio, and whether queries like 'who follows me?' are common. This grounds the tradeoff analysis in real constraints.
Explain that forward-only uses less memory and simpler writes, but reverse queries require full scans or secondary indexes, hurting read latency.
Describe how maintaining both maps doubles memory and write cost (two updates per edge) but makes both forward and reverse traversals O(1).
Contrast memory footprint, write amplification, read performance, and consistency complexity (e.g., atomic updates across both maps).
Propose a choice: forward-only if reverse queries are rare or can be batched; bidirectional if low-latency reverse lookups are critical and write volume is manageable.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.