SAMER08F - Feynman

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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 life-long 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.

subir imagenes

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
Dhruv Mullick: 2013-12-01 07:32:01

How did we get this formula? Is there some logic to it, or does every starter do this by observing the pattern which is made?
Pattern - [spoiler removed]..

Last edit: 2013-12-01 08:10:19
thangagiriarasan: 2013-11-23 04:10:46

@Rahul jain yes the formula is right and i got ac in 1st attempt.

Rahul Jain: 2013-11-11 12:25:00

I knw d formula [spoiler removed] but still WA

Last edit: 2013-12-01 08:10:35
$iddharth prasad: 2013-08-29 13:37:18

easy one got AC in first attempt!!

RAHUL: 2013-08-11 17:56:17

AC:) IN FIRST TIME

tamed: 2013-07-12 19:11:35

my first program in java n i got the right answer.

Last edit: 2013-07-12 19:12:31
Alien: 2013-06-08 02:35:03

EASY1 , GOT AC , AFTER KNOWING THE FORMULA...:)

John: 2013-06-06 05:56:03

easy though...but good problem for beginners :)

Grzegorz Utnik: 2013-05-29 17:05:27

Python, please.

Sachin Gupta: 2013-05-24 18:50:46

just apply the formula and u get the answer..easy one

Last edit: 2013-05-24 18:51:07

Added by:Diego Satoba
Date:2008-11-23
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:ASM64 C C++ 4.3.2 CPP FORTRAN JAVA PAS-GPC PAS-FPC
Resource:South American Regional Contests 2008