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:
t=input()
for j in range(t):
	a,b,c=map(int,raw_input().split())
	x=a
	y=b
	flag=0
	while(y):
		x,y=y,x%y
	flag+=x
	y,z=b,c
	while(z):
		y,z=z,y%z
	flag+=y
	x,z=a,c
	while(x):
		z,x=x,z%x
	flag+=z
	a,b,c=a*a,b*b,c*c
	if(flag==3 and (a+b==c or b+c==a or a+c==b)):
		print "YES"
	else:
		print "NO"