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

You are given a 0-indexed m x n integer matrix grid. Your initial position is at the top-left cell (0, 0).
Starting from the cell (i, j), you can move to one of the following cells:

Cells (i, k) with j < k <= grid[i][j] + j (rightward movement), or
Cells (k, j) with i < k <= grid[i][j] + i (downward movement).

Return the minimum number of cells you need to visit to reach the bottom-right cell (m - 1, n - 1). If there is no valid path, return -1.
 
Please complete the following python code precisely:
```python
class Solution:
    def minimumVisitedCells(self, grid: List[List[int]]) -> int:
```