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 {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        ArrayList<Integer> edges = new ArrayList<Integer>();
        for(int i = 0; i < n; i++){
            edges.add(sc.nextInt());
            edges.add(sc.nextInt()); 
            edges.add(sc.nextInt()); 
            Collections.sort(edges);
            int a = (edges.get(0) * edges.get(0)) + (edges.get(1) * edges.get(1));
            int b = (edges.get(2) * edges.get(2));
            if(b - a == 0){
                System.out.println("YES");   
            }else{
                System.out.println("NO"); 
            }
        }
    }
}