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.
import sys
input = lambda: sys.stdin.readline().rstrip()

a,b = map(int, input().split())
c=a**2+b**2

B = []
for i in range(1,b+1):
    for j in range(i,b+1):
        if i**2+j**2==b**2:
            B.append((i,j))
            
for j in range(1,a+1):
    for i in range(-j,-a-1,-1):
        if i**2+j**2==a**2:
            for i2,j2 in B:
                if abs(i2-i)**2+abs(j2-j)**2==c:
                    print('YES')
                    print(0,0)
                    print(i2,j2)
                    exit(print(i,j))

print('NO')