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 PHP (judge verdict: Wrong Answer)

<?php 
$fp = fopen('php://stdin', 'r');
$num = 1;
$first = true;

while (feof($fp) == false) {
  $line = fgets($fp);
  //Nはとばす
  if ($first == true) {
    $first = false;
    continue;
  }
  if ($line == "") break;   //最終行の空行をとばす
  $nums = explode(' ', $line);
  $nums[2] = trim($nums[2]);
  $max_num = max($nums);
  $sum = 0;
  for ($i=0; $i<2; $i++) {
    if (array_search($max_num, $nums) == $i) continue;
    $sum = $sum + pow($nums[$i], 2);
  }
  if (pow($max_num, 2) == $sum) {
    echo "YES".PHP_EOL;
  } else {
    echo "NO".PHP_EOL;
  }
}