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

You are given a m x n matrix grid. Initially, you are located at the top-left corner (0, 0), and in each step, you can only move right or down in the matrix.
Among all possible paths starting from the top-left corner (0, 0) and ending in the bottom-right corner (m - 1, n - 1), find the path with the maximum non-negative product. The product of a path is the product of all integers in the grid cells visited along the path.
Return the maximum non-negative product modulo 109 + 7. If the maximum product is negative, return -1.
Notice that the modulo is performed after getting the maximum product.
 
Please complete the following python code precisely:
```python
class Solution:
    def maxProductPath(self, grid: List[List[int]]) -> int:
```