436. Find Right Interval

Given a set of intervals, for each of the interval i, check if there exists an interval j whose start point is
bigger than or equal to the end point of the interval i, which can be called that j is on the "right" of i.

For any interval i, you need to store the minimum interval j's index, which means that the interval j has the
minimum start point to build the "right" relationship for interval i. If the interval j doesn't exist, store -1 for
the interval i. Finally, you need output the stored value of each interval as an array.

Note:

    You may assume the interval's end point is always bigger than its start point.
    You may assume none of these intervals have the same start point.

Example 1:

Input: [ [1,2] ]

Output: [-1]

Explanation: There is only one interval in the collection, so it outputs -1.



Example 2:

Input: [ [3,4], [2,3], [1,2] ]

Output: [-1, 0, 1]

Explanation: There is no satisfied "right" interval for [3,4].
For [2,3], the interval [3,4] has minimum-"right" start point;
For [1,2], the interval [2,3] has minimum-"right" start point.



Example 3:

Input: [ [1,4], [2,3], [3,4] ]

Output: [-1, 2, -1]

Explanation: There is no satisfied "right" interval for [1,4] and [3,4].
For [2,3], the interval [3,4] has minimum-"right" start point.

NOTE: input types have been changed on April 15, 2019. Please reset to default code definition to get new method
signature.
  • Binary Search

public int[] findRightInterval(int[][] intervals) {
        int[][] starts = new int[intervals.length][2];
        for(int i = 0; i < starts.length; i++)
            starts[i] = new int[] {intervals[i][0], i};
        Arrays.sort(starts, (a,b)->Integer.compare(a[0],b[0]));
        int[] result = new int[intervals.length];
        Arrays.fill(result, -1);
        for(int i = 0; i < intervals.length; i++) {
            int end = intervals[i][1];
            int l = 0, r = starts.length-1;
            while(l < r) {
                int mid = l + (r-l) / 2;
                int start = starts[mid][0];
                if(start >= end) {
                    r = mid;
                } else {
                    l = mid + 1;
                }
            }
            if(starts[l][0] >= end && i != starts[l][1]) {
                result[i] = starts[l][1];
            }
        }
        return result;
    }
  }