Vampires in the Funhouse
You are Professor Car Hadescroon, Vampire Hunter. You've taken a day off from hunting vampires to go to the carnival. There are a number of different funhouses at this particular carnival, and each house has nine rooms. In three rooms are mirrors bisecting the room diagonally from northeast to southwest; in another three are mirrors bisecting the room diagonally from northwest to southeast. In two of the remaining rooms are statues of vampires, for added spookiness.
The ninth room is supposed to be empty; however, you have peeked into the houses from outside and suspect that actual vampires are hiding in the allegedly vacant rooms. You talk to a nearby carnie and discover:
- The vampire statues are never located in adjacent rooms.
- A vampire statue is never located next to an "empty" room.
- Mirrors in adjacent rooms always face opposite directions.
Standing outside the house and looking in, you can see a vampire, or a statue of a vampire, or a reflection of a statue of a vampire (remember, real vampires don't cast reflections), through some of the doorways, as shown in the diagrams. Using logic, can you figure out which room contains the real vampire?
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