Widest Vertical Area Between Two Points Containing No Points
Given n points on a 2D plane where points[i] = [xi, yi], return the widest vertical area between two points such that no points are inside the area.
A vertical area is an area of fixed width extending infinitely along the y-axis, meaning it has infinite height. The widest vertical area is the one with the maximum width.
Note that points on the edge of a vertical area are not considered included in the area.
Example 1
Input
points = [[8,7],[9,9],[7,4],[9,7]]Output
1Both the red and the blue area are optimal, and the maximum width is 1.
Example 2
Input
points = [[3,1],[9,0],[1,0],[1,4],[5,3],[8,8]]Output
3After sorting the x-coordinates, the largest gap between adjacent x-values is 3.
Constraints
- n == points.length
- 2 <= n <= 10^5
- points[i].length == 2
- 0 <= xi, yi <= 10^9