1594 - Maximum Non Negative Product in a Matrix\.

Medium

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 <code>10⁹ + 7</code>. If the maximum product is negative , return -1.

Notice that the modulo is performed after getting the maximum product.

Example 1:

Input: grid = \[\[-1,-2,-3],-2,-3,-3,-3,-3,-2]

Output: -1

Explanation: It is not possible to get non-negative product in the path from (0, 0) to (2, 2), so return -1.

Example 2:

Input: grid = \[\[1,-2,1],1,-2,1,3,-4,1]

Output: 8

Explanation: Maximum non-negative product is shown (1 \* 1 \* -2 \* -4 \* 1 = 8).

Example 3:

Input: grid = \[\[1,3],0,-4]

Output: 0

Explanation: Maximum non-negative product is shown (1 \* 0 \* -4 = 0).

Constraints:

• m == grid.length

• n == grid[i].length

• 1 <= m, n <= 15

• -4 <= grid[i][j] <= 4