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
midoriya:
20181014 21:26:44
AC in one go just you need to apply basic logic 

adipat:
20181012 16:38:27
Can be done in O(n) but with a bit of math , there is an O(1) solution too. Extremely easy problem. 

akbar_1214:
20181012 07:30:50
How is the input format?? 

Arpit dhuriya:
20181002 15:26:26
Please be careful about the input format. 

epiphany01:
20180924 19:15:54
i cant understand how to input... Do i need to make a loop for test cases and do i need to print '0' for 0 or just print a new line?? 

Joeffison [UFCG]:
20180922 17:09:39
After I had the solution in Python, I saw we can't submit Python code for this question! haha 

dhia01:
20180915 06:38:24
hint : recursive solution 

anant6025:
20180907 15:46:36
AC in one go!


n1trob4ct3r:
20180822 03:53:02
Can somebody explain the input format?


Victor Breder:
20180815 00:41:57
Try to find the closedform solution :) 
Added by:  Diego Satoba 
Date:  20081123 
Time limit:  0.165s 
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 