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

Given an integer array nums and two integers left and right, return the number of contiguous non-empty subarrays such that the value of the maximum array element in that subarray is in the range [left, right].
The test cases are generated so that the answer will fit in a 32-bit integer.
 
Please complete the following python code precisely:
```python
class Solution:
    def numSubarrayBoundedMax(self, nums: List[int], left: int, right: int) -> int:
```