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: Wrong Answer)


count = gets.to_i
arr = []

count.times do
  arr << gets.chomp.split(" ").map(&:to_i).sort
end

arr.each do |val|

  val_1 = val[0].instance_of?(Float) ? Math.sqrt(val[0]) : val[0].to_i
  val_2 = val[1].instance_of?(Float) ? Math.sqrt(val[1]) : val[1].to_i
  val_3 = val[2].instance_of?(Float) ? Math.sqrt(val[2]) : val[2].to_i

  if val_1 == 1 && val_2 == 1 && val_3 == 1
    puts "No"
  elsif ( (val_1 * val_1) + (val_2 * val_2) ) / (val_3 * val_3) == 1
    puts "Yes"
  else
    puts "No"
  end
end