Rectangles can be constructed out of smaller squares. Given a supply of unit squares (1x1 in size), how many unique rectangles can be constructed?
The input file DATA2.txt will contain 5 lines, each an integer 1 <= N <= 1000, a number of unit squares available.
The output file OUT2.txt will contain 5 lines, each a number of unique rectangles that can be constructed from
Note: a rectangle is unique if another rectangle that had previously been constructed can't be rotated to look the same way. That is, 2x3 and 3x2 are considered to be the same.