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: Accepted)

object Main extends App{

  val n = io.StdIn.readLine().toInt
  
  for (i <- 1 to n) {
    val sideAry = io.StdIn.readLine().split(' ').map { _.toInt }.sorted.reverse
    val a = sideAry(0) * sideAry(0)
    val b = sideAry(1) * sideAry(1)
    val c = sideAry(2) * sideAry(2)

    if (a == (b + c))
      println("YES")
    else
      println("NO")
  }
}