Background: A 3-dimensional surface contains a saddle point when the point is a global minimum along a line parallel to either the x or the y axis, but a global maximum along the other axis. You'll usually see a "U" shape meeting an upside-down "U" shape. The classic horseback riding saddle has one such saddle point, and, not coincidentally, it is a rider's most stable position. The Problem: The input will be a 2-dimensional array A[n][n] of numbers, representing a lattice approximation of a surface. That is, given an ((x,y) pair of integers, the array entry A[x][y] contains the height ((z)-coordinate) of the surface. In the sample surface shown (thank you to Wikipedia!), the array might be