class K(object):
    def __init__(self, s="FLFRFLFRFLFRFLFRFLFRFLF", i=1):
        self.kf = s
        self.i = i

    def __xor__(self, o):
        return K(self.kf.replace("F", "FLFRFLF"), self.i+1)

    def __nonzero__(self):
        import turtle
        k_ = turtle.Turtle()
        turtle.resetscreen()
        turtle.title("Iteration: %d" % self.i)
        k_.ht()
        turtle.setup(400, 400)
        k_.down()
        k_.speed('fastest')
        k_.penup()
        k_.goto(-150, 100)
        k_.pendown()
        for move in self.kf:
            if move == "F":
                k_.forward(100.0 / (3 ** (self.i - 1)))
            elif move == "L":
                k_.left(60)
            elif move == "R":
                k_.right(120)

        return 0


k = K()