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)

i = 1
num_s = gets
num_i = num_s.to_i
while i <= num_i do
	a = gets
	b = a.split(" ")
	if (b[0].to_i - b[1].to_i).abs < b[2].to_i && b[2].to_i < b[0].to_i + b[1].to_i
		puts "YES"
	else
		puts "NO"
	end
	i = i + 1
end