$[20$ pts$]$ Task $1$

$[15$ pts$]$ Define a class ShapeManager to manage multiple shapes in a graphical window with the following attributes and methods:

Attributes:

shapes $($a list to store all shapes, e$.$g$.,$ circles, rectangles$).$win $($a GraphWin object to display the shapes$).$

Methods:

add$\_$circle$($center$,$ radius, color$)$:

Add a circle to the shapes list with the specified center, radius, and color.

Draw the circle in the window.add$\_$rectangle$($bottom$\_$left, top$\_$right, color$)$:

Add a rectangle to the shapes list with the specified corners and color.

Draw the rectangle in the window.change$\_$color$($index$,$ color$)$:

Change the color of the shape at the given index in the shapes list.

Update its appearance in the window.delete$\_$shape$($index$)$:

Remove the shape at the given index from both the shapes list and the window.

$[5$ pts$]$ Create a ShapeManager object and perform the following:

Create a GraphWin window with a title "Shape Manager" and dimensions $400$x$400$ pixels.

Add a red circle with center $(2,2)$ and radius $2.$

Add a blue rectangle with bottom$-$left corner $(3,3)$ and top$-$right corner $(6,5).$

Add a green circle with center $(2,2)$ and radius $1.$

Expected Outcome:

Note: The background color does not have to be the same as the example below.