← Perplexity AI Interview Insights
The greedy deduction rule (earliest expiry first) is what makes this non-trivial.
Start by clarifying the requirements and constraints, then propose a data structure that supports efficient insertion, deletion, and querying of credits with expiration times. Walk through the implementation of add, subtract, and balance methods, emphasizing how to handle out-of-order operations. Finally, analyze the time and space complexity of each operation and discuss potential optimizations.
Pro tip: Mention that you would use a balanced BST or a priority queue with lazy deletion to efficiently find the earliest-expiring credit, and discuss how to handle out-of-order operations by storing credits in a time-ordered structure. Also, consider edge cases like subtracting more credit than available or adding credits with overlapping time ranges.
Ask questions to understand the expected scale (number of operations, time range), whether credits can have overlapping validity periods, and if negative balances are allowed. Clarify the exact semantics of 'current credit balance at a given time'.
Propose using a balanced binary search tree (e.g., TreeMap in Java) keyed by expiration time to store credits, allowing efficient retrieval of the earliest-expiring credit. Alternatively, consider a min-heap with lazy deletion for subtract operations.
For add, insert the credit into the BST with its expiration time as key. For subtract, repeatedly remove or reduce the earliest-expiring credit until the requested amount is deducted, handling cases where credits expire before the given time.
To compute the balance at a given time, sum all credits that are valid at that time. If using a BST, this may require iterating over all credits or maintaining an auxiliary structure for efficient range queries.
Analyze time complexity: add O(log n), subtract O(k log n) where k is number of credits consumed, balance O(n) or O(log n) with augmented tree. Discuss space complexity O(n). Mention potential optimizations like using a segment tree or Fenwick tree for balance queries.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.