I knew binary search was the move here pretty quickly.
Clarify requirements and constraints, then propose a design using a hash map from keys to time-ordered lists of (timestamp, value) pairs, with binary search for efficient get operations. Discuss trade-offs between different data structures and consider concurrency and memory management.
Pro tip: Mention that timestamps can be assumed monotonically increasing per key, allowing append-only lists and avoiding sorting overhead. Also, discuss how to handle out-of-order writes if they are possible.
Ask about expected scale, timestamp ordering, concurrency needs, and whether updates can be out-of-order. Confirm that get should return the value at the largest timestamp <= given timestamp.
Propose a hash map for O(1) key lookup, with each key mapping to a dynamic array or balanced BST of (timestamp, value) pairs. Explain that arrays support binary search for O(log n) get, while BSTs allow ordered operations.
For set, append to the list if timestamps are increasing; otherwise, insert in sorted order. For get, binary search for the largest timestamp <= target and return the corresponding value.
Discuss handling missing keys, timestamps before the earliest entry, and memory growth. Consider compression, TTL, or periodic cleanup for old versions.
Mention thread-safety using locks or concurrent data structures, and how the design scales with number of keys and versions. Discuss sharding if needed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
This one got me more than I'd like to admit.
Clarify that each person's busy intervals are sorted and non-overlapping, then find the intersection of all free intervals by merging busy intervals across all people and computing the complement. Alternatively, use a sweep line or heap-based approach to efficiently find common free slots. Discuss time and space complexity and potential optimizations.
Pro tip: Mention that you can avoid merging all busy intervals by using a min-heap to track the earliest ending busy interval, which is more efficient when N is large. Also, confirm edge cases like empty schedules or no common free time.
Ask about input format, whether intervals are inclusive/exclusive, and if the output should be sorted. Confirm that each person's busy intervals are sorted and non-overlapping.
Decide between merging all busy intervals and taking the complement, or using a sweep line with a heap to find common free slots. Explain the trade-offs.
For the merge approach: flatten all busy intervals, sort by start time, merge overlapping intervals, then compute free slots between merged intervals. For the heap approach: push the first busy interval of each person into a min-heap, then iteratively advance the person with the earliest ending interval, tracking the maximum end time seen so far to identify gaps.
State time and space complexity. For merge approach: O(M log M) where M is total number of intervals. For heap approach: O(M log N) where N is number of people. Discuss which is better for large N.
Consider cases like no busy intervals, all busy, overlapping intervals across people, and no common free time. Also discuss if intervals can be very large or if there are many people.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.