1637. Widest Vertical Area Between Two Points Containing No Points

Solved

Easy

Topics

Companies

Hint

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 (i.e., 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:

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Input: points = [[8,7],[9,9],[7,4],[9,7]]
Output: 1
Explanation: Both the red and the blue area are optimal.

Example 2:

Input: points = [[3,1],[9,0],[1,0],[1,4],[5,3],[8,8]]
Output: 3

Constraints:

• n == points.length
• 2 <= n <= 105
• points[i].length == 2
• 0 <= xi, yi <= 109

class Solution {
    /** : widest vertical area between */
    public int maxWidthOfVerticalArea(int[][] points) {
        int n=points.length;

        Arrays.sort(points, Comparator.comparingInt(a->a[0]));

        int m=0;
        for(int i=0;i<n-1;i++){
            m=Math.max(m, points[i+1][0]-points[i][0] );
        }

        return m;

    }

    /**
    1637. Widest Vertical Area Between Two Points Containing No Points
Solved
Easy
Topics
Companies
Hint
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 (i.e., 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: 1
Explanation: Both the red and the blue area are optimal.
Example 2:

Input: points = [[3,1],[9,0],[1,0],[1,4],[5,3],[8,8]]
Output: 3

Constraints:

n == points.length
2 <= n <= 105
points[i].length == 2
0 <= xi, yi <= 109
     */
}