There is a right triangle with legs of length *a* and *b*. Your task is to determine whether it is possible to locate the triangle on the plane in such a way that none of its sides is parallel to the coordinate axes. All the vertices must have integer coordinates. If there exists such a location, you have to output the appropriate coordinates of vertices.
The first line contains two integers *a*, *b* (1 ≤ *a*, *b* ≤ 1000), separated by a single space.
from math import *
a,b=map(int,input().split())
def gen(n):
	for x in range(1,n):
		y = round(sqrt(n*n-x*x))
		if x*x+y*y == n*n:
			yield (x,y)
for u in gen(a):
	for v in gen(b):
		if u[0]*v[0]-u[1]*v[1]==0 and u[0]!=u[1]:
			print("YES\n0 0")
			print(u[0],u[1])
			print(v[0],-v[1])
			return
print("NO")
