The scene is the estate of the well-to-do billionaire Count Van Diamond. He has just been murdered, and James Bomb, the internationally known detective, former notary public, current assistant manager of Chicken Delight, and part-time graph theorist, has been called in to investigate.
The butler clains he saw the gardener enter the pool room (where the murder took place) and then, shortly after, leave that room by the same door. The gardener, however, says that he cannot be the man whom the butler saw, because he entered the house from outside, went through each door exactly once, and then left the house. James Bomb checks the floor plan (given below). Within a matter of hours, he declares the case solved.
Is the gardener a liar?
