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)

lines = STDIN.read.chomp.split("\n")
lines.shift.to_i.times do |i|
  elems = lines[i].split.sort.reverse;
  result = elems[0].to_i**2 == elems[1..-1].map { |j| j.to_i**2 }.inject(:+) ? 'YES' : 'NO';
  puts result
end