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.*;
import java.util.stream.*;
import java.io.*;
class Main {
  public static void main(String[] args) {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    br.lines()
      .skip(1)
      .parallel()
      .map(line -> Stream.of(line.split(" "))
                    .parallel()
                    .mapToInt(Integer::parseInt)
                    .map(n -> n * n)
                    .sorted()
                    .toArray())
      .map(ar -> (ar[0] + ar[1] == ar[2]) ? "YES" : "NO")
      .sequential()
      .forEach(System.out::println);
  }
}