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Problems requiring dynamic additions or removals of intervals while maintaining order.

Key Heap Usage: Add new intervals and remove expired ones efficiently.

Always sort intervals by start time or end time as a preprocessing step.

Push end times of intervals into a min-heap to track the "earliest-ending interval."

Remove intervals from the heap when they are no longer valid (e.g., expired or non-overlapping).

Use the top of the heap to make the greedy choice (e.g., attend the earliest-ending event).

Use the heap size or contents to track resources (e.g., number of rooms, tasks completed).

Heap Evolution:
Add intervals as you iterate through time.
Keep the heap size minimal by removing expired intervals.