I went straight to a sorted list of intervals and built from there.
Start by clarifying requirements and assumptions, then propose a data structure that supports efficient insertion and querying, such as a balanced binary search tree or sorted list of intervals. Walk through the algorithms for booking and finding the earliest available slot, analyze time and space complexity, and discuss edge cases like overlapping bookings and boundary conditions.
Pro tip: Demonstrate awareness of real-world constraints by discussing concurrency control and persistence, and mention how you would extend the design to support multiple resources or time zones.
Ask questions to confirm whether bookings can overlap, if times are inclusive/exclusive, and if the system needs to handle concurrent requests. State any assumptions you make.
Select a data structure that efficiently stores non-overlapping intervals and supports fast insertion and search, such as a balanced BST (e.g., TreeMap) or a sorted list with binary search.
Describe how to insert a new booking: validate no overlap, find the correct position, and update the data structure. Handle edge cases like adjacent bookings and invalid time ranges.
Explain how to find the earliest slot at or after a given start time that fits the duration: iterate through intervals, check gaps, and return the first valid slot or null if none exists.
State the time and space complexity for both operations, and discuss edge cases such as no bookings, booking at the very beginning/end, and overlapping requests.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.