class Vector(list):

    def __init__(self, x=0, y=0):
        list.__init__(self, (x, y))

    def __getattr__(self, name):
        if name == "x":
            return self[0]
        elif name == "y":
            return self[1]

    def __setattr__(self, name, value):
        if name == "x":
            self[0] = value
        elif name == "y":
            self[1] = value
        else:
            list.__setattr__(self, name, value)

    def __add__(self, other):
        return Vector(self.x + other[0], self.y + other[1])

    __radd__ = __add__

    def __iadd__(self, other):
        self.x += other[0]
        self.y += other[1]
        return self

    def __sub__(self, other):
        return Vector(self.x - other[0], self.y - other[1])

    def __rsub__(self, other):
        return Vector(other[0] - self.x, other[1] - self.y)

    def __isub__(self, other):
        self.x -= other[0]
        self.y -= other[1]
        return self

    def __mul__(self, other):
        return Vector(self.x * other, self.y * other)

    __rmul__ = __mul__

    def __imul__(self, other):
        self.x *= other
        self.y *= other
        return self

    def apply_to_components(self, function):
        self.x = function(self.x)
        self.y = function(self.y)

    def place(self, x=None, y=None):
        if x is not None:
            self.x = x
        if y is not None:
            self.y = y

    def move(self, dx=0, dy=0):
        if dx:
            self.x += dx
        if dy:
            self.y += dy

    def place_at_origin(self):
        self.x = 0
        self.y = 0