CANDY3  Candy III
A class went to a school trip. And, as usually, all N kids have got their backpacks stuffed with candy. But soon quarrels started all over the place, as some of the kids had more candies than others. Soon, the teacher realized that he has to step in: "Everybody, listen! Put all the candies you have on this table here!"
Soon, there was quite a large heap of candies on the teacher's table. "Now, I will divide the candies into N equal heaps and everyone will get one of them." announced the teacher.
"Wait, is this really possible?" wondered some of the smarter kids.
Problem specification
You are given the number of candies each child brought. Find out whether the teacher can divide the candies into N exactly equal heaps. (For the purpose of this task, all candies are of the same type.)
Input specification
The first line of the input file contains an integer T specifying the number of test cases. Each test case is preceded by a blank line.
Each test case looks as follows: The first line contains N : the number of children. Each of the next N lines contains the number of candies one child brought.
Output specification
For each of the test cases output a single line with a single word "YES" if the candies can be distributed equally, or "NO" otherwise.
Example
Input: 2 5 5 2 7 3 8 6 7 11 2 7 3 4 Output: YES NONote: the input file will not exceed 1MB.
hide comments
ankit1cool:
20160804 21:14:42
no constraints given very poor explanation


giriprasad kemburu:
20160803 19:55:09
how to read input?


sandeep_123:
20160724 15:27:47
taking modulo is key for AC ! easy one...comments helped 

kiraneswar:
20160713 21:18:02
How to get rid of NZEC runtime error. Solution executes on ideone but I am getting this error after uploading 

imshubhamk:
20160711 19:05:15
listen comments are just mis leading just keep it simple % when sum>no of inputs and don't forget to set sum to 0 again this cost me 2 wrong answer


Dilpreet:
20160701 11:21:43
C++ people Use unsigned long long int .


Anushka:
20160629 20:27:15
AC with python 

baadshah_:
20160621 09:32:27
Replaced cin and cout with scanf and prinf and finally it worked!!!(AC) 

comp0zr:
20160620 02:32:02
AC in one go (which for me is a rare accomplishment)! I never quite wrapped my head around modular arithmetic before this problem, but the simple implementation helped clarify the fundamental concepts immensely. Now to go solve several of the large I/O programs that previously stumped me! (I must agree, however, that not knowing the constraints of a problem can waste a lot of time and energy.) Last edit: 20160620 02:34:18 

xinnix:
20160617 15:45:23
Long long int won't work, you need more. Cause sum is larger than google(>100 digits) 
Added by:  Fudan University Problem Setters 
Date:  20071201 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: C99 ERL JSRHINO 
Resource:  IPSC 2006 