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 a[]){
		Scanner sc = new Scanner(System.in);
		
		int N = sc.nextInt();
		
		for(int i=0;i<N;i++){
			int b = sc.nextInt();
			int c = sc.nextInt();
			int d = sc.nextInt();
			System.out.println(isRightTriangle(b,c,d));
		}
		sc.close();
	}
	
	public static String isRightTriangle(int a, int b ,int c){
		if(a + b  < c)
			return "No";
		else if(b + c < a)
			return "No";
		else if(c + a < b)
			return "No";
		else
			return "Yes";
	}

}