Design Problems Three design problems are listed on the pages that follow. Select the most appropriate design pattern to use to address the problem and clearly motivate how it addresses the problem. Furthermore, show an appropriate class diagram followed by enough code fragments to illustrate the implementation of your pattern. To clarify, you will do three things for each problem. First, list a pattern that you think best solves the problem along with justification for why you chose it/ why it works. Second, draw UML that represents that pattern in the context of the problem. Third, include code fragments/snippets that illustrate application of the pattern. 9. (20 points) You are writing a nifty photo application that can read different photos and then creates thumbnails out of them. Your program supports different image formats (JPG, GIF, PNG, etc.), which are represented by different reader classes for each format that converts the image to an intermediate decoded image format. You anticipate supporting different types of new images in the near future