## DWITE '10 R3 #2 - Unit rectangles

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Points: 5
Time limit: 2.0s
Memory limit: 64M

Problem type
Allowed languages
Ada, Assembly, Awk, Brain****, C, C#, C++, COBOL, CommonLisp, D, Dart, F#, Forth, Fortran, Go, Groovy, Haskell, Intercal, Java, JS, Kotlin, Lisp, Lua, Nim, ObjC, OCaml, Octave, Pascal, Perl, PHP, Pike, Prolog, Python, Racket, Ruby, Rust, Scala, Scheme, Sed, Swift, TCL, Text, Turing, VB, Zig
##### 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 file will contain 5 lines, each an integer , a 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