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
pushshstar121: 2023-01-24 18:14:18

Anyone please guide in this?

tgcgowtham: 2022-08-24 20:56:39

using simple modular property with long long type - easy.

virtualityo_0: 2022-08-04 15:13:34

what value of mod should we use ?

thichankitkat: 2022-01-13 10:47:12

Just careful with blank line.

Last edit: 2022-01-13 10:50:30
manurag_20: 2021-10-19 21:03:11

wtf!! At least give constraints.

the_art_maniac: 2021-05-18 13:26:13

The concept is easy they are only trying you to trick by using large numbers in the test case so mind that , hint :- modulo properties can be used

harini_18: 2021-05-08 20:59:23

for the ones working with C lang declare the variables as long long int. hope it helps!!!

dileep_32: 2021-03-03 18:21:08

(a + b) % m = ((a % m) + (b % m)) % m

use this property using long data type in c++ might not help.

vishalbacha: 2021-02-12 10:24:40

Worst experience

tejasreddyk: 2021-01-10 19:22:02

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