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.*;

public class Main {
	public static void main(String args[] ) throws Exception {
		Scanner sc = new Scanner(System.in);
		int N = Integer.parseInt(sc.nextLine());
		
		for (int i = 0; i < N; i++) {
			String[] input = sc.nextLine().split(" ");
			
			int[] array = {
					Integer.parseInt(input[0]),
					Integer.parseInt(input[1]),
					Integer.parseInt(input[2])
					};
			
			Arrays.sort(array);
			
			if ((array[0]^2 + array[1]^2) == (array[2]^2)) {
				System.out.println("YES");
			} else {
				System.out.println("NO");
			}
		}		
	}
}