The interval logic and the None-for-negative part were fine, I got those pretty quickly.
First, clarify the requirements and edge cases, especially the sticky None behavior. Then, design a data structure that efficiently computes the sum of active intervals at any time t, such as sorting intervals and using a sweep line or prefix sums. Finally, implement the function with careful handling of the sticky None flag and discuss trade-offs.
Pro tip: Mention that the sticky None can be implemented as a simple boolean flag that short-circuits all future calls, and emphasize that this is a stateful requirement that must be handled carefully in concurrent scenarios.
Ask about input types, interval inclusivity, and the exact semantics of the sticky None. Confirm whether the function is called multiple times and if the table can be preprocessed.
Consider sorting intervals by start time and using a sweep line or prefix sums to answer queries in O(log n) or O(1) after O(n log n) preprocessing. Discuss trade-offs between preprocessing time and query time.
Write code that computes the sum of active intervals at time t, handles the sticky None flag, and returns None, 0, or the sum as appropriate. Ensure the flag is set when the sum is negative.
Test with no active intervals, negative sums, intervals with no stop, and multiple calls to verify sticky None. Also test boundary conditions like t exactly at start or stop.
If relevant, mention how the solution scales with large datasets and how the sticky None flag would behave in a multi-threaded environment, suggesting synchronization if needed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.