I got the basic heap idea out pretty fast but then they kept pulling on threads.
Start by clarifying requirements: define 'top N', tie-breaking rules, and update frequency. Then propose a data structure like a balanced BST or heap with lazy deletion to maintain rankings efficiently, and discuss how to handle deletions/merges. Finally, analyze time/space complexity and trade-offs.
Pro tip: Demonstrate awareness of real-world constraints by mentioning that scheduled payments may need to be processed as they occur, and that account merges require careful handling of aggregated totals and ranking updates.
Ask about N's typical size, update frequency, tie-breaking rules, and whether deletions/merges are common. Confirm that 'total outgoing payments' includes both immediate and scheduled payments that have been executed.
Propose a data structure that supports efficient updates and top-N queries, such as a balanced binary search tree (e.g., order-statistic tree) or a combination of a hash map for account totals and a heap for ranking. Discuss lazy deletion for handling deletions/merges.
Detail how to implement update (add payment), getTopN, delete account, and merge accounts. For updates, adjust the account's total and update its position in the ranking structure. For merges, combine totals and remove the merged account.
Provide time and space complexity for each operation. Compare alternatives (e.g., heap vs. BST) and justify your choice based on expected workload. Mention that getTopN is O(N) or O(N log N) depending on structure.
Discuss tie-breaking (e.g., by account ID), handling of scheduled payments (e.g., process when due), and scalability concerns like sharding or distributed updates if the system grows.
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