I went straight for the obvious approach, store timestamps in a list, binary search on query, O(1) write and O(log n) read.
Start by clarifying the requirements: timestamps are strictly increasing, so they are naturally sorted. Then propose a simple array or list with binary search for O(log n) queries, and discuss alternatives like balanced BSTs or Fenwick trees for different trade-offs. Finally, analyze time and space complexity for each design and recommend based on expected access patterns.
Pro tip: Mention that since timestamps are strictly increasing, the data is inherently sorted, so binary search is optimal for queries without extra structure. Also, consider that in a real system like Snapchat, timestamps might be generated at high volume, so insertion efficiency matters.
Ask about the expected number of operations, memory constraints, and whether timestamps are unique and strictly increasing (given). Confirm that queries are for strictly greater values.
Suggest storing timestamps in a dynamic array (list) and using binary search to find the first timestamp greater than the query value. Insertion is O(1) amortized (append), query is O(log n).
Consider balanced BSTs (e.g., Red-Black tree) for O(log n) insertion and query, or Fenwick tree (BIT) with coordinate compression for O(log n) both, but note overhead. Also mention skip lists or B-trees for disk-based scenarios.
Compare time and space complexity: array is simple, cache-friendly, but insertion at end is O(1) amortized; BSTs offer O(log n) insertion but higher constant factors; Fenwick tree requires coordinate compression and is less intuitive.
If queries dominate, array with binary search is best. If insertions and queries are mixed, balanced BST or Fenwick tree may be better. Emphasize that strictly increasing timestamps simplify the problem.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.