← Jane Street Interview Insights
The DataStore part was fine, basically a wrapper with insert and getAll.
Start by clarifying requirements and constraints, then design a data model that supports efficient insertion and retrieval of listings based on price and time priority. Implement the DataStore with a priority queue or balanced BST, and write the order processing function that iterates through buy orders, matching them against the cheapest qualifying listings while tracking fills and transaction prices.
Pro tip: Emphasize the importance of tie-breaking by insertion order and discuss how to maintain that efficiently (e.g., using a monotonic counter or timestamp). Also, mention potential concurrency issues if the marketplace is multi-threaded, showing awareness of real-world system design.
Ask about expected scale, order types, partial fills, and whether listings can be modified or cancelled. Confirm the exact matching rules and output format.
Choose data structures that allow efficient insertion of listings and retrieval of the cheapest qualifying listing. Consider a min-heap keyed by (price, insertion_order) or a balanced BST with price as key and a queue for ties.
For each buy order, repeatedly extract the cheapest listing that satisfies price <= limit. If multiple listings have the same price, ensure the earliest inserted is chosen first. Accumulate fills and compute the transaction price (likely the listing price).
Address scenarios like no qualifying listings, partial fills, and large volumes. Discuss time complexity and potential optimizations, such as lazy deletion or batch processing.
Walk through examples, including ties and multiple orders, to verify correctness. Consider writing unit tests for the DataStore and the processing function.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Start by clarifying the requirements and constraints, then propose a data structure that efficiently handles timestamp-ordered processing and unit pool management. Discuss the algorithm for detecting and applying billing adjustments, and analyze time/space complexity and trade-offs.
Pro tip: Emphasize the importance of maintaining invariants (e.g., pool units are always the cheapest available) and consider edge cases like multiple adjustments for the same buyer. Also, mention how you would test the system with randomized inputs.
Ask questions to understand the exact rules: what constitutes a failed payment, how units are re-opened, what triggers refunds or charges, and any constraints on data size or real-time processing.
Choose appropriate data structures: a priority queue (min-heap) for the pool of re-opened units to always access the cheapest, and a balanced BST or sorted list for successful buyers to find those who could benefit from cheaper units.
Iterate through the transaction log sorted by timestamp. For each transaction, update the state: add failed units to the pool, and for successful purchases, check if a cheaper unit is available in the pool to trigger a refund.
When a refund is issued, the original unit becomes available and should be added to the pool. Similarly, when an out-of-stock buyer can be served from the pool, issue a charge and remove the unit from the pool.
Discuss time and space complexity of the approach, and consider alternative designs (e.g., using a segment tree) and their trade-offs in terms of implementation complexity and performance.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.