A 16 -step path is to go from (-4,-4) to (4,4) with each step increasing either the x-coordinate or the y-coordinate by 1 . How many such paths stay outside or on the boundary of the square -2 \leq x \leq 2,-2 \leq y \leq 2 at each step?

**Answer Choices**

A. 92

B. 144

C. 1568

D. 1698

E. 12,800