Problem:
Is it a Right Triangle?

Write a program which judges wheather given length of three side form a right triangle. Print "YES" if the given sides (integers) form a right triangle, "NO" if not so.

Input

Input consists of several data sets. In the first line, the number of data set, N is given. Then, N lines follow, each line corresponds to a data set. A data set consists of three integers separated by a single space.

Constraints

1 ≤ length of the side ≤ 1,000

N ≤ 1,000

Output

For each data set, print "YES" or "NO".

Sample Input

3
4 3 5
4 3 6
8 8 8

Output for the Sample Input

YES
NO
NO

Solution in JAVA (judge verdict: Wrong Answer)

import java.util.Scanner;
public class Main {
	public static void main(String[] args) throws java.io.IOException {
		Scanner scan = new Scanner(System.in);
		int n = scan.nextInt();
		for(int d = 0;d<n;d++){
			int a = scan.nextInt();
			int b = scan.nextInt();
			int c = scan.nextInt();
			if(a*a == b*b+c*c || b*b == c*c+a*a || c*c == a*a+b*b){
				System.out.println("Yes");
			}else{
				System.out.println("No");
			}
		}
	}
}