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 Ruby (judge verdict: Accepted)

#!/usr/bin/env ruby

n = gets.chomp!.to_i

n.times do
  tris = gets.chomp!.split(" ").map(&:to_i)

  tris.sort!.map!{|elem| elem = elem ** 2}
  puts (tris.pop) == tris.reduce(:+) ? "YES" : "NO"
end