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/ruby
# -*- coding: utf-8 -*-
=begin
Volume0-0003
=end
def righttriangle(a,b,c)
  f = [a,b,c]
  mx = f.max
  f.delete_at(f.index(mx))
  f.inject(0){|acc,x| acc + x*x} == mx * mx
end

class Main
  def initialize
    fh=STDIN
    n = fh.gets.to_i
    while fh.gets do
      a,b,c = $_.split.map{|x| x.to_i}
      puts righttriangle(a,b,c) ? "YES" : "NO" 
    end
  end

end

if $0 == __FILE__ then
  Main.new
end