tzaffi

    def generalized_josephus(self, x):
        # express x as a radix d number-sequence
        rad_d = Radix.tuple(x, base=self.d)

        # then apply the generalized josephus transformation to convert to a radix c number-sequence
        rad_c = [self.alpha_vector[rad_d[0]-1]]
        for dig in rad_d[1:]:
            rad_c.append(self.beta_vector[dig])

        # convert rad_c to a number and return