Widest Vertical Area Between Two Points Containing No Points

To find the widest vertical area, we can focus only on the x-coordinates of the points. The reason is that the vertical area is defined by the x-axis and extends infinitely along the y-axis.

Here’s a simple approach to solve this problem:

1. Extract the x-coordinates of the given points.
2. Sort the x-coordinates.
3. Find the maximum difference between consecutive x-coordinates.

The code implementing this approach is as follows:

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class Solution:
    def maxWidthOfVerticalArea(self, points: List[List[int]]) -> int:
        # Extract the x-coordinates from the given points
        x_coordinates = [point[0] for point in points]

        # Sort the x-coordinates
        x_coordinates.sort()

        # Find the maximum difference between consecutive x-coordinates
        max_width = 0
        for i in range(1, len(x_coordinates)):
            max_width = max(max_width, x_coordinates[i] - x_coordinates[i - 1])

        return max_width

This code first extracts the x-coordinates and sorts them, and then iterates through the sorted list to find the maximum difference between consecutive x-coordinates. The result is the widest vertical area.