1

from itertools import product, permutations
def f(x,y,w,z):
    return (x<=w) and (y<=z) or w
a = product([0,1], repeat=4)
print(f'x y w z F')
for x,y,w,z in a:
    if not f(x, y, w, z):
        print(x, y, w, z, 0)

komb = sorted(map(''.join,permutations('YZX')))
XYZ = f(0, 0, 0, 1) or f(0, 1, 0, 1) or f(1, 1, 0, 1)
XZY = f(0, 1, 0, 0) or f(0, 1, 0, 1) or f(1, 1, 0, 1)
YXZ = f(0, 0, 0, 1) or f(1, 0, 0, 1) or f(1, 1, 0, 1)
YZX = f(1, 0, 0, 0) or f(1, 0, 0, 1) or f(1, 1, 0, 1)
ZXY = f(0, 1, 0, 0) or f(1, 1, 0, 0) or f(1, 1, 0, 1)
ZYX = f(1, 0, 0, 0) or f(1, 1, 0, 0) or f(1, 1, 0, 1)
print(len(komb) - (XYZ+XZY+YXZ+YZX+ZXY+ZYX))