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)

n = gets.chomp.to_i
v = []
n.times do |i|
 (a, b, c) = gets.chomp.split(" ")
 a = a.to_i
 b = b.to_i
 c = c.to_i

 if c>b && c>a && a*a + b*b == c*c
  v[i] = 'YES'
 elsif a<b && b>c && a*a + c*c == b*b
  v[i] = 'YES'
 elsif b<a && c<a && b*b + c*c == a*a
  v[i] =  'YES'
 else
  v[i] = 'NO'
 end
end

n.times do |i|
  p v[i]
end