##### DWITE Online Computer Programming Contest, December 2010, Problem 2

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

The input will contain 5 lines, each an integer , 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 ** 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, and are considered to be the same.

#### Sample Input

```
2
6
```

#### Sample Output

```
2
8
```

Problem Resource: DWITE

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