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
Akshay Aradhya:
20150715 11:57:48
Constant time :) O(1) 

nikhil_ponnuru:
20150708 06:59:43
basic of basic math Last edit: 20150708 07:01:09 

vedaytas:
20150701 07:50:27
too simple a problem..


Barun Parruck:
20150621 13:36:39
@_R0b:


ani_991:
20150616 12:00:47
Last edit: 20150616 12:01:23 

Tomasz Chabinka:
20150614 18:42:58
Why such narrow choice of languages for this problem? 

hemanth1859:
20150607 12:14:39
I got WA in first attempt, after adding (1 ≤ N ≤ 100) check in my code got AC. 

karthik1997:
20150530 18:06:56
just need to break when it encounters 0 or else WA :P 

@@@:
20150512 19:17:34
AC in first go...!!!! 

_R0b_:
20150424 08:18:42
One Loop only

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 