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
rrm_2016:
20161012 16:01:13
Please read the input format...made me submit 1 wrong solution 

teracoder:
20161011 10:33:09
I wish I had seen the weird input pattern earlier, so 2 tries... 

quvi:
20160916 16:18:51
AC in first go! Interesting one. Use mathematical logic and observe the pattern :D 

suraj_:
20160816 22:42:33
qed


young_padawan:
20160719 09:36:46
me too @zakir_0


eminemvarun:
20160715 18:56:32
Is answer to 3, fourteen? 

saurabh412:
20160715 04:47:28
AC in One Go :) 

true_coder:
20160609 15:36:01
an easy dp problem for beginners (although easily solved straight forwardly) Last edit: 20160609 15:37:17 

code0monkey1:
20160601 12:04:24
hint : hope you know your summation formulas !! ;) 

chakkriii:
20160511 18:24:23
find logic , it will be mathematical formula 
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 