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
cis_pie:
20170701 07:22:38
I derived the formula from my basic permutation combination knowledge. You can also think about it simple! 

larunrahul:
20170623 10:59:09
Nice problem. Just observe the pattern. 

arunkaushik90:
20170614 20:14:11
weird!! you would need to put \n for 0 also, otherwise giving WA 

tjain1999:
20170601 11:35:04
My very first AC in one 

neha1824:
20170526 09:36:12
For those who are getting wrong answer, print a new line for input 0 as well. I didn't do it initially and my answer was not getting accepted. 

math_angi99:
20170517 12:01:44
getting wrong answer!!


rohit9934:
20170504 18:52:19
guys dont scratch your heads for hours like me.It is just the Formulae for the sum of 1st n squares.Google it. 

ameyanator:
20170425 16:28:51
you can't submit using python??? whyyyyy? :( 

smile9170:
20170327 17:45:58
Help to write this policy program


smile9170:
20170327 17:44:52
input

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 