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 Scala (judge verdict: Wrong Answer)

object Main extends App {
  (1 to readInt)
    .map(_ => readLine.split(" ").map(_.toInt))
    .map(s => {
      val max = s.max
      if (s.filter(_ != max).map(_ ^ 2).sum == (max ^ 2)) "YES" else "NO"
    })
    .foreach(println)
}