class Point:

    """Point in cartesian space.

    Implements attribute access (.x, .y) and list-like access([0],[1]).

    """

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

        self.x = x

        self.y = y

    def __getitem__(self, key):

        return (self.x, self.y)[key]

    def __repr__(self):

        return 'Point(x={0.x},y={0.y})'.format(self)

    def update(self, *args, **kwargs):

        """Update point.

        Accepts positional or keyword arguments:

        - (point: Point)

        - (x: int, y: int)

        """

        if len(args) == 2:

            self.x, self.y = args

        elif len(args) == 1:

            self.x, self.y = args[0]

        elif len(args):

            raise ValueError('Too many args.')

        for key, val in kwargs.items():

            if key == 'point':

                self.x, self.y = val

            elif key in ('x', 'y'):

                setattr(self, key, val)

            else:

                raise ValueError('Bad keyword arg: %r' % key)

class Size:

    """Size class.

    Implements attribute access (.w, .h) and list-like access([0],[1]).

    """

    def __init__(self, *args, **kwargs):

        self.w = 0

        self.h = 0

        self.update(*args, **kwargs)

    def __getitem__(self, key):

        return (self.w, self.h)[key]

    def __repr__(self):

        return 'Size(w={0.w},h={0.h})'.format(self)

    def update(self, *args, **kwargs):

        """Update size.

        Accepts positional or keyword arguments:

        - (size: Size)

        - (w: int, h: int)

        """

        if len(args) == 2:

            self.w, self.h = args

        elif len(args) == 1:

            self.w, self.h = args[0]

        elif len(args):

            raise ValueError('Too many args.')

        for key, val in kwargs.items():

            if key == 'size':

                self.w, self.h = val

            elif key in ('w', 'h'):

                setattr(self, key, val)

            else:

                raise ValueError('Bad keyword arg: %r' % key)

    def readonly(self):

        return ReadonlySize(self)

class ReadonlySize:

    """Wrapper for Size which makes it read-only."""

    def __init__(self, size):

        self._size = size

    @property

    def w(self):

        return self._size.w

    @property

    def h(self):

        return self._size.h

    def __getitem__(self, key):

        return self._size[key]

    def __repr__(self):

        return 'ReadonlySize(w={0.w},h={0.h})'.format(self._size)

class Rect:

    """Rectangle is defined by coordinates and size."""

    def __init__(self, x=0, y=0, w=0, h=0):

        self.x = x

        self.y = y

        self.w = w

        self.h = h

    def __repr__(self):

        return 'Rect(x={0.x},y={0.y},w={0.w},h={0.h})'.format(self)

    def __contains__(self, point):

        """Test if point is positioned inside rectangle.

        `point` should be either Point or pair of int values.

        """

        x, y = point

        return (self.x <= x < self.x + self.w

            and self.y <= y < self.y + self.h)

    def intersect(self, other):

        x1 = max(self.x, other.x)

        y1 = max(self.y, other.y)

        x2 = min(self.x + self.w, other.x + other.w)

        y2 = min(self.y + self.h, other.y + other.h)

        if x1 >= x2 or y1 >= y2:

            return Rect()

        return Rect(x1, y1, x2-x1, y2-y1)

    def union(self, other):

        x = min(self.x, other.x)

        y = min(self.y, other.y)

        w = max(self.x + self.w, other.x + other.w) - x

        h = max(self.y + self.h, other.y + other.h) - y

        return Rect(x, y, w, h)