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759. Employee Free Time

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.

Example 2:

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

Constraints:

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

Solution:

/*
// Definition for an Interval.
class Interval {
    public int start;
    public int end;

    public Interval() {}

    public Interval(int _start, int _end) {
        start = _start;
        end = _end;
    }
};
*/

class Solution {
    public List<Interval> employeeFreeTime(List<List<Interval>> schedule) {
        List<Interval> res = new ArrayList<>();

        PriorityQueue<Interval> pq = new PriorityQueue<>((a, b) -> (a.start - b.start));

        for (List<Interval> list : schedule){
            for (Interval interval : list){
                pq.offer(interval);
            }
        }

        Interval cur = pq.poll();

        while(!pq.isEmpty()){
            Interval next = pq.poll();

            if (cur.end >= next.start){
                next.end = Math.max(cur.end, next.end);
            }else{
                res.add(new Interval(cur.end, next.start));
            }

            cur = next;
        }

        return res;

    }
}

// TC: O(nlogn)
// SC: O(n)