# 1594. Maximum Non Negative Product in a Matrix

<https://leetcode.com/problems/maximum-non-negative-product-in-a-matrix>

## Description

You are given a `rows x cols` 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 `(rows - 1, cols - 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.**

**Example 1:**

```
**Input:** grid = [[-1,-2,-3],
               [-2,-3,-3],
               [-3,-3,-2]]
**Output:** -1
**Explanation:** It's 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 in bold (1 * 1 * -2 * -4 * 1 = 8).
```

**Example 3:**

```
**Input:** grid = [[**1**, 3],
               [**0**,**-4**]]
**Output:** 0
**Explanation:** Maximum non-negative product is in bold (1 * 0 * -4 = 0).
```

**Example 4:**

```
**Input:** grid = [[ **1**, 4,4,0],
               [**-2**, 0,0,1],
               [ **1**,**-1**,**1**,**1**]]
**Output:** 2
**Explanation:** Maximum non-negative product is in bold (1 * -2 * 1 * -1 * 1 * 1 = 2).
```

**Constraints:**

* `1 <= rows, cols <= 15`
* `-4 <= grid[i][j] <= 4`

## ac

```java
```