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


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.


For each test case in the input, your program must print a single line, containing the number of different squares for the corresponding input.




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shubham_001: 2017-09-18 19:50:35

:| found number of rectangles accidentally costed WAs

perrysama: 2017-09-12 11:10:28

AC in 1 go , those who Are struggling (Hint : for N=2 Squares= 4+1)

shubham_it3: 2017-09-11 12:52:09

my answer is correct even i am taking care of 0 and negative value ,still my answer is not correct ,i am doing it using throgh sum of 1st n square.

anshu_2761: 2017-08-15 22:24:19

after getting the first answer, reset the ans=0 again then you will get correct answer for further inputs

softxide: 2017-08-07 05:08:04

please try to find the formula on your own by studying the giving example and use it for n =3

cis_pie: 2017-07-01 07:22:38

I derived the formula from my basic permutation combination knowledge. You can also think about it simple!

larunrahul: 2017-06-23 10:59:09

Nice problem. Just observe the pattern.

arunkaushik90: 2017-06-14 20:14:11

weird!! you would need to put \n for 0 also, otherwise giving WA

tjain1999: 2017-06-01 11:35:04

My very first AC in one

neha1824: 2017-05-26 09:36:12

For those who are getting wrong answer, print a new line for input 0 as well. I didn't do it initially and my answer was not getting accepted.

Added by:Diego Satoba
Time limit:0.165s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Resource:South American Regional Contests 2008