You are given an `m x n` binary matrix `grid` where each cell is either `0` (empty) or `1` (occupied).

You are then given stamps of size `stampHeight x stampWidth`. We want to fit the stamps such that they follow the given restrictions and requirements:

1. Cover all the empty cells.
2. Do not cover any of the occupied cells.
3. We can put as many stamps as we want.
4. Stamps can overlap with each other.
5. Stamps are not allowed to be rotated.
6. Stamps must stay completely inside the grid.

Return `true` if it is possible to fit the stamps while following the given restrictions and requirements. Otherwise, return `false`.

Example 1:

    Input: grid = [[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0]], stampHeight = 4, stampWidth = 3
    Output: true
    Explanation: We have two overlapping stamps (labeled 1 and 2 in the image) that are able to cover all the empty cells.

Example 2:

    Input: grid = [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]], stampHeight = 2, stampWidth = 2
    Output: false
    Explanation: There is no way to fit the stamps onto all the empty cells without the stamps going outside the grid.

Constraints:

- `m == grid.length`
- `n == grid[r].length`
- `1 <= m, n <= 105`
- `1 <= m * n <= 2 * 105`
- `grid[r][c]` is either `0` or `1`.
- `1 <= stampHeight, stampWidth <= 105`