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
aashish_a2z: 2018-11-30 16:27:12

AC in first go.....Just take pen and paper and observe the logic....If anyone can then u can too...:)

midoriya: 2018-10-14 21:26:44

AC in one go just you need to apply basic logic

adipat: 2018-10-12 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: 2018-10-12 07:30:50

How is the input format??

Arpit dhuriya: 2018-10-02 15:26:26

Please be careful about the input format.

epiphany01: 2018-09-24 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]: 2018-09-22 17:09:39

After I had the solution in Python, I saw we can't submit Python code for this question! haha

dhia01: 2018-09-15 06:38:24

hint : recursive solution

anant6025: 2018-09-07 15:46:36

AC in one go!
Try figuring out the pattern for the number of squares possible and eureka its just 4 lines to code

n1trob4ct3r: 2018-08-22 03:53:02

Can somebody explain the input format?
It is not clear. Do we have multiple testcases?


Added by:Diego Satoba
Date:2008-11-23
Time limit:0.165s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:ASM64 C CPP C++ 4.3.2 FORTRAN JAVA PAS-GPC PAS-FPC
Resource:South American Regional Contests 2008