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.ArrayList;
import java.util.Comparator;
import java.util.List;
import java.util.Scanner;

class Main {
	static List<Integer> list = new ArrayList<Integer>();
	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		int n = scan.nextInt();
		while (n != 0) {
			list.add(scan.nextInt());
			list.add(scan.nextInt());
			list.add(scan.nextInt());
			list.sort(Comparator.reverseOrder());
			if ((list.get(0) * list.get(0)) == ((list.get(1) * list.get(1)) + (list.get(2) * list.get(2)))) {
				System.out.println("YES");
			}else{
				System.out.println("NO");
			}
			n--;
		}
	}
}