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Solution: Employee Free Time

Explore how to identify mutual free time for employees by merging sorted working intervals. Understand the use of a min-heap to efficiently track and merge overlapping schedules, detect gaps, and return all finite free intervals sorted by start time.

Statement

You are given schedule, a list where each element contains the working hours of one employee.

Each employee’s working hours are represented as a list of Interval objects that are already sorted and do not overlap.

Return all finite intervals with non-zero duration during which all employees are simultaneously free. The resulting list of free intervals should also be sorted in ascending order.

Note: The intervals are represented as objects, not arrays. For example, schedule[1][1].start = 1 and schedule[1][1].end = 2, while schedule[0][0][0] is invalid. Do not include intervals with zero length (for example, [3, 3]) in the output.

Constraints:

  • 11 \leq schedule.length , schedule[i].length 50\leq 50

  • 00 \leq interval.start < interval.end 1 ...