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
NO
Note: the input file will not exceed 1MB.

hide comments
kholan: 2017-08-07 12:01:03

Solvable using int if you know your modulo arithmetics

jha_gaurav98: 2017-07-26 04:28:23

total stupidity....range should have been mentioned in the problem

studyfather: 2017-07-22 13:20:31

At first use int and get WA
Finally use long long and get AC :)
It's a good problem for beginners.

hunnychauhan: 2017-07-13 16:49:09

nice question...but be careful for large inputs.

bhawna_123: 2017-06-26 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: 2017-06-26 16:37:34

limits should be mentioned.

ninja_kx: 2017-06-14 10:49:46

@monster_666
just add extra input() in your code after test cases loop
#create loop for test cases
#input() <---- add this it will accept blank spaces
#YOUR CODE

pratyush_1997: 2017-06-13 15:35:02

no constraints makes it a waste of time

monster_666: 2017-06-06 11:29:26

facing problem with the black spaces in python

mayank: 2017-06-03 16:03:14

nonsense


Added by:Fudan University Problem Setters
Date:2007-12-01
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: C99 ERL JS-RHINO
Resource:IPSC 2006