Since all the elements in the array are integers. If there are even number of negative elements, the maximum product will be the multiplication of all the elements. If there are odd number of negative elements, we can just compare the products of the following two:

- multiplication of all the elements until we find the last negative element.
- multiplication of all the elements starting after the first negative element.

Both cases contain even number of negative elements and the result will be positive. Is this a correct analysis?