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)

import scala.io.StdIn._
import scala.math._

object Main {
  def checkRightTriangle(n: Int, l: List[String] = Nil): List[String] = {
    if (n > 0) {
      val Array(x1, x2, x3) = readLine().split(" ").map(_.toInt)
      if (pow(x1, 2) + pow(x2, 2) == pow(x3, 2)) checkRightTriangle(n - 1, l :+ "YES")
      else checkRightTriangle(n - 1, l :+ "NO")
    } else l
  }

  def main(args: Array[String]): Unit = {
    val inputNum = readInt()
    checkRightTriangle(inputNum).foreach(println)
  }
}