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

facing problem with the black spaces in python

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

nonsense

mayank: 2017-06-03 16:03:13

Last edit: 2017-06-03 16:03:39
anilkumar1998: 2017-06-01 08:15:57

No need of storing large numbers!!!Use modulo property!

hkuadithya: 2017-05-01 19:15:14

Problem is pretty straightforward. Use Java BigInteger to represent the testCases, N, and all other variables. You can use mod function from BitInteger class as well. Since there are so many C/C++ comments over here, these are my java 2 cents.

Last edit: 2017-05-01 19:15:35
kashyap2108: 2017-03-05 11:41:34

Ac in 3Go!!

rohit9934: 2017-02-11 11:16:30

Last edit: 2017-05-30 08:24:26
alexakasanjeev: 2017-02-07 14:30:47

What an idiotic question, at least make it clear the limits of variables used.

jasbir_123: 2017-02-03 12:44:31

why Is it Giving NZEC error in java even after using BigInteger..

kdsg: 2017-01-22 11:19:55

yeah no need to read blank line ignore it it wil be accepted. AC in one go!!!!


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