logic_test

def f(x):
    x,y,w,z = map(int,x)
    return ((not y or x) or (not z and w)) == (w == x)

n = 4
for i in range(2**n):
    x = bin(i)[2:]
    x = '0' * (n-len(x)) + x
    if f(x):
        print(x,f(x))