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)

class Triangle
  def initialize(array)
    @lengths = array.sort!
  end

  attr_accessor :lengths

  def right_triangle?
    (@lengths[0] ** 2) + (@lengths[1] ** 2) == @lengths[2] ** 2
  end
end

case_num = gets.to_i
case_num.times do
  puts Triangle.new(gets.split(" ").map(&:to_i)).right_triangle? ? "YES" : "NO"
end