Use logical reasoning to solve the following puzzle:

Five friends disagree on whether to play video games or basketball. Either Alice or Bob, or both, want to play video games. Cindy and Don disagree on what they want to play. If Ellen plays video games, then so does Cindy. Alice and Don will play the same game. If Bob plays video games, then so do Alice and Ellen. Who is playing what? Dene ve basic propositions and use these to describe the ve statements above. Then use logical reasoning to derive the truth of each of those basic propositions.