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{
	private static final Scanner scan = new Scanner(System.in);

	public static void main(String[] args){
		int N = scan.nextInt();
		int[] tri = new int[3];
		boolean flag = false;
		for(int i = 0; i < N; i++){
			for(int j = 0; j < 3; j++){
				tri[j] = scan.nextInt();
			}
			for(int j = 0; j < 3 - 1; j++){
				for(int k = 3 - 1; k > j; k--){
					if(tri[k] > tri[j]){
						int big = tri[k];
						tri[k] = tri[j];
						tri[j] = big;
					}
				}
			}
			if(Math.pow(tri[0], 2) == Math.pow(tri[1], 2) + Math.pow(tri[2], 2)){
				flag = true;
			}
			System.out.println(flag? "YES" : "NO");
		}
	}
}