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
Ankit: 2016-02-22 17:56:45

My 26th at SPOJ. :)

suman_biswas95: 2016-02-07 18:20:27

don't need to take long long int.....

suman_biswas95: 2016-02-07 18:19:45

take correct % in loop

sharath_111: 2016-01-26 14:33:40

comments helped,AC in one go..use long long and modulo for sum..my 15 th in SPOJ :)

tni_mdixit: 2016-01-18 22:42:45

took all in unsigned long long int,coming the right one on my pc,still wrong answer ....plz help

stiffler22: 2016-01-15 08:56:25

not worthy!!!!

shantanu_007: 2016-01-07 20:34:29

Sum can be very big....% should be used carefully..long long int should be used ... got AC after many WA

cherag_0001: 2016-01-05 19:02:39

finalllyyyy...!! overflow problem guys.. make sure you take care of it..!!

sourabh: 2015-12-26 08:06:33

In one go :D

roopansh: 2015-12-19 17:32:55

using unsigned long long int and also using modulus....still getting wrong answer...please help.

http://ideone.com/28dGSj


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