Below is a diagram of the right Kan Extension. Then I drew both left and right extensions in one diagram to emphasize the difference.

![Right Kan Extension](
![Left and Right Kan Extension](

**Puzzle 160**
![Right Kan Extension natural transformation](

There are \\(4^5\\) natural transformations for both \\(\alpha\\) and \\(\beta\\).

Edit: I mislabeled the category of \\(H\\) and \\(F \circ G\\). Now its fixed.