a = 7
b = 11
d = {}

def f(x, y, ops):
        global a, b, d
        if x > a or y > b or x < 0 or y < 0:
                return
        if ops < d.get((x, y), max):
                d[(x, y)] = ops
        else:
                return
        f(0, x + y, ops + 1)
        f(x + y, 0, ops + 1)
        f(x + y - b, b, ops + 1)
        f(a, x + y - a, ops + 1)
        f(a, y, ops + 1)
        f(x, b, ops + 1)
        f(0, y, ops + 1)
        f(x, 0, ops + 1)

f(0, 0, 0)