#1637 - Widest Vertical Area Between Two Points Containing No Points

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Problem 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.

Solution

/**
 * @param {number[][]} points
 * @return {number}
 */
var maxWidthOfVerticalArea = function(points) {
  points.sort((a, b) => a[0] - b[0]);
  let result = 0;
  for (let i = 1; i < points.length; i++) {
    result = Math.max(result, points[i][0] - points[i - 1][0]);
  }
  return result;
};