LeetCode-in-Java

1637. Widest Vertical Area Between Two Points Containing No Points

Medium

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

Solution

import java.util.Arrays;

public class Solution {
    public int maxWidthOfVerticalArea(int[][] points) {
        int[] xValues = new int[points.length];
        for (int i = 0; i < points.length; i++) {
            xValues[i] = points[i][0];
        }
        Arrays.sort(xValues);
        int max = 0;
        for (int j = 0; j < xValues.length - 1; j++) {
            if (xValues[j + 1] - xValues[j] > max) {
                max = xValues[j + 1] - xValues[j];
            }
        }
        return max;
    }
}

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