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: Accepted)

import java.util.Scanner;

public class Main {

    public static void main(String[] args) {

        //input
        Scanner sc = new Scanner(System.in);

        int N = sc.nextInt();
        boolean[] b_ar = new boolean[N];

        for(int i=0;i<N;i++){
        	b_ar[i] = IsRightTriangle(sc.nextInt(),sc.nextInt(),sc.nextInt());
        }

        //output
        for(boolean b:b_ar){
        	if   (b) { System.out.println("YES");}
        	else     { System.out.println("NO"); }
        }
    }

    private static boolean IsRightTriangle(int a,int b,int c){
    	if( Math.pow((double)a,2) + Math.pow((double)b,2) == Math.pow((double)c,2) ||
            Math.pow((double)b,2) + Math.pow((double)c,2) == Math.pow((double)a,2) ||
            Math.pow((double)c,2) + Math.pow((double)a,2) == Math.pow((double)b,2)    ){
    		return true;
    	}else {
    		return false;
    	}
    }
}