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 TriangleChecker
  def initialize
    @triangles = []
  end

  # add Triangle Data
  def add(triangle)
    @triangles << triangle
  end

  # check added Triangle
  def check

    @triangles.each {|triangle|

      # sort Triangle Data
      triangle.Line.sort!

      if (triangle.Line[0] ** 2) + (triangle.Line[1] ** 2) == (triangle.Line[2] ** 2) then
        puts "YES"
      else
        puts "NO"
      end
    }
  end
end

# Rectangle Data Class
class Triangle
  attr_accessor :Line
end


inputs = gets.chomp.split(nil)
dataCount = inputs[0].to_i
checker = TriangleChecker.new

for i in 1..dataCount
  inputs = gets.chomp.split(nil)
  line1 = inputs[0].to_i
  line2 = inputs[1].to_i
  line3 = inputs[2].to_i

  triangle = Triangle.new
  triangle.Line = [line1, line2, line3];

  checker.add(triangle)
end

checker.check