The tree structure part clicked pretty fast for me, parent pointers, store subtree sums, update ancestors on insert.
Start by clarifying requirements and scale, then propose a data model that supports efficient subtree revenue aggregation and threshold-based queries. Discuss trade-offs between different data structures and algorithms, and outline a scalable system design with appropriate storage and query processing.
Pro tip: Demonstrate awareness of real-world constraints by discussing how to handle updates and queries at scale, and mention potential optimizations like caching or materialized views.
Ask questions to understand data volume, query frequency, latency requirements, and whether the referral graph is a tree or can have cycles. Confirm the exact query semantics: k customers with total subtree revenue >= threshold, sorted ascending by revenue.
Propose a schema to store customers, their revenue, and referrer relationships. Consider using a graph or tree representation, and decide on a database (e.g., relational, graph, or custom) that supports efficient subtree aggregation.
For insertion, update the new customer and propagate revenue changes up the referral chain. For query, compute subtree revenues and filter by threshold, then select top k. Discuss algorithms like DFS, segment trees, or Fenwick trees for efficient range queries.
Discuss how to scale with increasing data: sharding, caching, materialized views, or incremental updates. Compare trade-offs between real-time computation and precomputation, and between different data structures.
Recap the proposed design, highlighting how it meets the requirements and handles scale. Mention potential bottlenecks and future improvements.
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