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Problem

We are given a list schedule of employees, which represents the working time for each employee.

Each employee has a list of non-overlapping Intervals, and these intervals are in sorted order.

Return the list of finite intervals representing common, positive-length free time for all employees, also in sorted order.

(Even though we are representing Intervals in the form [x, y], the objects inside are Intervals, not lists or arrays. For example, schedule[0][0].start = 1, schedule[0][0].end = 2, and schedule[0][0][0] is not defined). Also, we wouldn't include intervals like [5, 5] in our answer, as they have zero length.

Example 1:

Input: schedule = [[[1,2],[5,6]],[[1,3]],[[4,10]]]
Output: [[3,4]]
Explanation: There are a total of three employees, and all common
free time intervals would be [-inf, 1], [3, 4], [10, inf].
We discard any intervals that contain inf as they aren't finite.
1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1
|--|        |--|
1, 0 -1  0  1  0 -1  0  0  0  0
|-----| 
2, 0 -1 -1  1  0 -1  0  0  0  0
         |-----------------|
2, 0 -1  0  1  0 -1  0  0  0 -1
2  2  1  1  2  2  1  1  1  1  0
      ^^^^

Example 2:

Input: schedule = [[[1,3],[6,7]],[[2,4]],[[2,5],[9,12]]]
Output: [[5,6],[7,9]]
1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3
|-----|        |--|
1  0  0 -1  0  1  0 -1  0  0  0  0, 0
   |-----|
1  1  0 -1 -1  1  0 -1  0  0  0  0, 0
   |--------|           |--------|
1  2  0 -1 -1  0  0 -1  1  0  0  0 -1

1  3  3  2  1  1  1  0  1  1  1  1  0
            ^^^^  ^^^^^^^
            

Constraints:

  • 1 <= schedule.length , schedule[i].length <= 50
  • 0 <= schedule[i].start < schedule[i].end <= 10^8