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
le9018468:
20180220 03:10:20
Hint: (2n+1)(n+1)(n)/6 

ashutoshiiita:
20180217 15:27:13
Last edit: 20180217 15:27:50 

vikashumain:
20180217 11:37:24
AC in one go 

vikramvarun:
20180111 15:49:15
Why so few languages are available for this problem? 

satyavinay:
20171229 15:18:04
for who are struggling, do for input=4 o/p=30 you will get the pattern 

infinitus11:
20171209 17:24:41
how to remove tle? 

rohansmurf1:
20171023 21:50:35
AC in one go 

shashank_222:
20171017 15:29:34
AC in one go 

chethanc:
20170927 17:33:16
No Python? 

shubham_001:
20170918 19:50:35
: found number of rectangles accidentally costed WAs 
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 