I started with the obvious approach: collect all dates per user into a set and check if the set size is >= 2.
Start by clarifying requirements and constraints, then propose a streaming algorithm that normalizes timestamps to a consistent timezone (e.g., UTC) and uses a hash map to track the set of distinct days per user. Discuss memory optimizations like storing only the first two distinct days per user and using approximate data structures if exactness can be relaxed, and analyze time and space complexity.
Pro tip: Mention that you would confirm the definition of 'calendar day' with the interviewer—whether it's based on UTC, a specific timezone, or user-local time—and propose a configurable timezone parameter to handle ambiguity.
Ask about timezone expectations, log size, memory limits, and whether approximate results are acceptable. Confirm the definition of 'distinct calendar days' and how to handle duplicates.
Propose a single-pass streaming approach: parse each event, normalize timestamp to the target timezone, extract the date, and update a per-user set of distinct dates. Stop tracking after two distinct dates to save memory.
For large logs, use a hash map with user IDs as keys and a small set (max size 2) of dates as values. If memory is still an issue, consider external sorting or approximate counting with Bloom filters, noting trade-offs.
State time complexity O(N) for N events and space O(U) for U users. Discuss edge cases: events near midnight (timezone conversion), duplicate entries (deduplicate by user-date), and malformed timestamps.
Recap the solution, mention potential optimizations like parallel processing or using a database for very large logs, and reiterate trade-offs between exactness and resource usage.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.