1637. Widest Vertical Area Between Two Points Containing No Points

Description

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

 

Solutions

Solution: Sorting

• Time complexity: O(nlogn)
• Space complexity: O(1)

 

JavaScript

/**
 * @param {number[][]} points
 * @return {number}
 */
const maxWidthOfVerticalArea = function (points) {
  let result = 0;

  points.sort((a, b) => a[0] - b[0] || a[1] - b[1]);

  for (let index = 1; index < points.length; index++) {
    result = Math.max(points[index][0] - points[index - 1][0], result);
  }
  return result;
};