LeetCode 1637: Widest Vertical Area Between Two Points Containing No Points Solution

Master LeetCode problem 1637 (Widest Vertical Area Between Two Points Containing No Points), a easy challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1637. Widest Vertical Area Between Two Points Containing No Points

Easy

Array Sorting

Problem Explanation

Explanation

To find the widest vertical area between two points containing no other points, we need to determine the maximum difference between the x-coordinates of any two points. We can achieve this by sorting the x-coordinates of the points and calculating the maximum difference between consecutive x-coordinates.

Sort the points based on their x-coordinates.
Calculate the maximum difference between consecutive x-coordinates.
Return the maximum difference as the result.

Time Complexity: O(n log n) where n is the number of points. Sorting the points takes O(n log n) time. Space Complexity: O(n) for storing the sorted points.

Solution Code

import java.util.Arrays;

class Solution {
    public int maxWidthOfVerticalArea(int[][] points) {
        Arrays.sort(points, (a, b) -> a[0] - b[0]);
        int maxWidth = 0;
        for (int i = 1; i < points.length; i++) {
            maxWidth = Math.max(maxWidth, points[i][0] - points[i - 1][0]);
        }
        return maxWidth;
    }
}

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