SAMER08F  Feynman
Richard Phillips Feynman was a well known American physicist and a recipient of the Nobel Prize in Physics. He worked in theoretical physics and also pioneered the field of quantum computing. He visited South America for ten months, giving lectures and enjoying life in the tropics. He is also known for his books "Surely You're Joking, Mr. Feynman!" and "What Do You Care What Other People Think?", which include some of his adventures below the equator.
His lifelong addiction was solving and making puzzles, locks, and cyphers. Recently, an old farmer in South America, who was a host to the young physicist in 1949, found some papers and notes that is believed to have belonged to Feynman. Among notes about mesons and electromagnetism, there was a napkin where he wrote a simple puzzle: "how many different squares are there in a grid of N ×N squares?".
In the same napkin there was a drawing which is reproduced below, showing that, for N=2, the answer is 5.
Input
The input contains several test cases. Each test case is composed of a single line, containing only one integer N, representing the number of squares in each side of the grid (1 ≤ N ≤ 100).
The end of input is indicated by a line containing only one zero.
Output
For each test case in the input, your program must print a single line, containing the number of different squares for the corresponding input.
Example
Input: 2 1 8 0 Output: 5 1 204
hide comments
Fedor Logachev:
20110722 16:54:05
HASK HASK HASK


azalathemad:
20110713 17:34:14
@Ivan  are you sure? I just did it with and without a range check and both succeeded. 

Ivan Malison:
20110713 00:14:01
Its pretty stupid that you get a score of "wrong answer" if you don't check to make sure the value is in the right range... 

Mochammad Zakiy Anwari:
20110606 11:21:46
Thanks for your hint, Neeraj :). 

simon:
20110525 13:27:43
python please ! 

V0iD!:
20110419 10:50:27
@ashutosh: the last input is 0...which should not be processed... 

Neeraj Bhat:
20110418 16:30:36
some test cases are as follows:


Ashutosh:
20110417 09:16:08
Is input value is used as for exit.


Tri Ahmad Irfan:
20110408 07:51:51
what's the output for N=100 ? 

xsot:
20110318 05:42:58
I want to use python too :( 
Added by:  Diego Satoba 
Date:  20081123 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  ASM64 C C++ 4.3.2 CPP FORTRAN JAVA PASGPC PASFPC 
Resource:  South American Regional Contests 2008 