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):
	while b != 0:
		t = b
		b = a%b
		a = t
	return a

t=int(raw_input().strip())
for x in xrange(t):
	a,b,c=map(int,raw_input().split())
	#print a,b,c
	flag=False
	if a>b and a>c:
		#print 'a is greatest'
		#print gcd(a,b),gcd(b,c)
		if (b**2 + c**2 == a**2) and gcd(a,b) == 1 and gcd(b,c) == 1:
			flag=True
	elif b>a and b>c:
		#print 'b is greater'
		if (a**2 + c**2 == b**2) and gcd(a,b) == 1 and gcd(b,c) == 1:
			flag=True
	else:
		#print 'c is greater'
		if b**2 + a**2 == c**2 and gcd(a,b) == 1 and gcd(b,c) == 1:
			flag=True
		
	if 	flag == True:
		print 'YES'
	else:
		print 'NO'