in c$++$ A geometric modeling program defines an abstract base class called Shape that models a generic shape. Sub$-$classes of this class are concrete implementations of specific shapes. For example, you would have a Square class, Circle class, and so on$.$

Shapes use $$formatter$$ classes to render shapes on output devices. The system currently has two of these classes:

class Screen def drawLine$($x$1,$y$1,$x$2,$y$2)$ end def drawPixel$($x$,$y$,$ color$)$ end def drawCircle$($x$,$y$,$radius$)$ end end class Printer def drawLine$($x$1,$y$1,$x$2,$y$2)$ end def drawPixel$($x$,$y$,$ color$)$ end def drawCircle$($x$,$y$,$radius$)$ end end

Draw a UML diagram that documents the current design. Modify this design so that one can add new shapes and new output formats independently of each other. Document your new design.

Implement a prototype $($I$$d suggest in Python but use your programming language of choice$)$ that demonstrates how you can add a Polygon and XMLForamatter classes to your design.

Note that you don$$t need to do any sort of fancy output in your prototype. Just add print statements that state what each command would do on an actual device.