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
kholan:
20170807 12:01:03
Solvable using int if you know your modulo arithmetics 

jha_gaurav98:
20170726 04:28:23
total stupidity....range should have been mentioned in the problem 

studyfather:
20170722 13:20:31
At first use int and get WA


hunnychauhan:
20170713 16:49:09
nice question...but be careful for large inputs. 

bhawna_123:
20170626 17:16:48
Without modulo i was getting wrong answer but when i solved it using modulo my solution got accepted but I still wonder what the error was without modulo .I am new to programming .Can somebody just help me out?


bhawna_123:
20170626 16:37:34
limits should be mentioned. 

ninja_kx:
20170614 10:49:46
@monster_666


pratyush_1997:
20170613 15:35:02
no constraints makes it a waste of time 

monster_666:
20170606 11:29:26
facing problem with the black spaces in python 

mayank:
20170603 16:03:14
nonsense

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 