Problem: Paul was the most famous character in Tekken-3. Of course he went to college and stuff. In one of the exams he wasn't able to answer a question which asked to check if a tuple of 3 non negative integers constituted a Primitive Pythagorian Triplet or not.  Paul was not able to answer it correctly and henceforth, he could not concentrate on any fight for a very long time and lost most of them. So, he decided to learn everything about Primitive Pythagorian Triplets.

Now, Paul seeks your help to determine whether a given triplet is a Primitive Pythagorian Triplet or not.

INPUT :  

The first line of the input contains the number of test cases T.
Every test case has a single line containing 3 space separated integers a,b and c.

OUTPUT :   

The output to each test case is a "YES" or a "NO".

CONSTRAINTS :   

1 ≤ T ≤ 100000

0 ≤ a,b,c ≤ 10000000

NOTE:
A primitive Pythagorean triple is one in which a, b and c are coprime.

SAMPLE INPUT
4
3 4 5
10 8 6
9 2 5
12 5 13

SAMPLE OUTPUT
YES
NO
NO
YES

Solution (in PYTHON):

Solution:
def gcd(a,b):
	if(b==0):
		return a
	else:
		return gcd(b,a%b)
def iscoprime(a,b,c):
	if(gcd(a,b)==gcd(b,c) and gcd(b,c)==gcd(c,a) and gcd(a,b)==1):
		return True
	else:
		return False
def main():
	for _ in xrange(input()):
		to=map(int,raw_input().split())
		to.sort()
		if(to[0]**2+to[1]**2==to[2]**2 and iscoprime(to[0],to[1],to[2])):
			print "YES"
		else:
			print "NO"
			
if __name__=="__main__":
	main()