Please solve the programming task below using a self-contained code snippet in a markdown code block.

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.
 
Please complete the following python code precisely:
```python
class Solution:
    def maxWidthOfVerticalArea(self, points: List[List[int]]) -> int:
```