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.ArrayList;
import java.util.Collections;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner s = new Scanner(System.in);
        int c = s.nextInt();
        for(int i = 0; i < c; ++i) {
            ArrayList<Integer> p = new ArrayList<Integer>();
            for(int j = 0; j < 3; ++j) {
                p.add(s.nextInt());
            }
            Collections.sort(p);
            System.out.println(((p.get(0) + p.get(1)) > p.get(2))?"YES":"NO");
        }
    }
}