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.io.PrintStream;
import java.util.Arrays;
import java.util.Scanner;

class Main {

    public static void main(String[] args) {
        doit(args, new Scanner(System.in), System.out);
    }

    static void doit(String[] args, Scanner scanner, PrintStream out) {
        int n = scanner.nextInt();
        for (int i = 0; i < n; i++) {
            int[] lengths = { scanner.nextInt(), scanner.nextInt(),
                    scanner.nextInt() };
            Arrays.sort(lengths);
            String result = lengths[0] * lengths[0] + lengths[1] * lengths[1] == lengths[2]
                    * lengths[2] ? "YES" : "NO";
            out.println(result);
        }
    }
}