Given an array of windows in the plane, we want to count how many overlapping and how many enclosing pairs of windows there are (without double counting). A window is the region of the plane enclosed by a rectangle with sides parallel to the x and y axes. A window can be abstracted as an object with the 4 fields of doubles: (left, right, bottom, top). These fields should satisfy the invariant: left < right and bottom top. The window is the Cartesian product of the x-interval [left, right] and the y-interval [bottom, top], i.e., the set of points (x,y) in the plane such that left