DWITE Online Computer Programming Contest, December 2010, Problem 2

Rectangles can be constructed out of smaller squares. Given a supply of unit squares (~1 \times 1~ in size), how many unique rectangles can be constructed?

The input file will contain 5 lines, each an integer ~1 \le N \le 1000~, the number of unit squares available.

The output will contain 5 lines, each a number of unique rectangles that can be constructed from up to ~N~ unit squares (not all squares have to be used for some of the rectangles).

Note: a rectangle is unique if another rectangle that had previously been constructed can't be rotated to look the same way. That is, ~2 \times 3~ and ~3 \times 2~ are considered to be the same.

Sample Input

2
6

Sample Output

2
8

Problem Resource: DWITE