The pointer mechanic is where I tripped up initially.
Clarify the problem constraints and design a data structure that efficiently stores values by ID and tracks the next expected ID. Use an array or hash map for O(1) insertion and a pointer that advances while consecutive IDs are present, returning the contiguous sequence. Discuss time and space complexity, and consider edge cases like duplicate inserts or out-of-range IDs.
Pro tip: Mention that the amortized time per insert is O(1) because the pointer only moves forward, and each element is returned at most once. This shows you understand the efficiency beyond the worst-case per call.
Ask about input ranges, whether IDs are guaranteed unique and within 1..n, and if duplicate inserts are possible. Confirm the return type and behavior when no contiguous sequence exists.
Select an array of size n+1 (or a hash map) to store values by ID, and maintain a pointer (nextId) initialized to 1. This allows O(1) access and updates.
Store the value at the given ID. Then, while the value at nextId is present, collect it and increment nextId. Return the collected list (which may be empty).
Explain that each insert takes O(1) amortized time because the pointer advances at most n times total. Discuss handling of duplicate IDs, invalid IDs, and the case where no sequence is returned.
Walk through a small example (e.g., n=5, inserts in various orders) to demonstrate correctness and pointer advancement. Verify that the returned sequences are correct.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.