[Value = 6 points]
Consider a 4 x 4 square array of points, in which points immediately adjacent horizontally or vertically are 1 unit apart in distance.
A growing path is a non-repeating sequence of distinct points in the array, in which the distances between consectuive points in the path is strictly increasing.
Let x be the length of the longest possible growing path, and let y be the number of growing paths of that length. What is xy?
