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 {
	static Scanner sc = new Scanner(System.in);

	public static void main(String[] args) {

		int num = sc.nextInt();
		int box;

		while(num-- != 0) {
			int[] side =  new int[3];
			for(int count = 0; count < 3; count++) {
				side[count] = (int)Math.pow(sc.nextInt(), 2);
			}

			if(side[1] > side[0]) {
				box = side[0];
				side[0] = side[1];
				side[1] = side[0];
			}

			if(side[2] > side[0]) {
				box = side[0];
				side[0] = side[2];
				side[2]= box;
			}

			if(side[0] == side[1] + side[2]) {
				System.out.println("YES");
			} else {
				System.out.println("NO");
			}
		}

	}

}