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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;

public class Main {

	public static void main(String[] args) throws NumberFormatException, IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		StringBuilder sb = new StringBuilder();

		int dataSet = Integer.parseInt(br.readLine());
		if (dataSet > 1000) return;

		for (int i = 0; i < dataSet; i++) {
			String[] input = br.readLine().split(" ");
			if (input == null || "".equals(input)) return;
			Arrays.sort(input);

			sb.append(
					((Integer.parseInt(input[0])^2 + Integer.parseInt(input[1])^2) == (Integer.parseInt(input[2])^2))
					? "Yes\r\n"
					: "No\r\n"
			);
		}
		System.out.println(sb.toString());
	}
}