Well, folks, here it is, the question you all wish was on the final exam:
You step through the incredibly massive doors,and enter…the cause of the impending appcalypse. You notice some members of your discrete math class dining there, although they appear several inches shorter than usual.(Except Erik, who is the tallest)
There is also a mysterious talking pizza box.
Erik: So, I assume you want to get off this island? Well, the number of truthtellers here is not prime.
Colin: Actually, it is.
Cecilia: Maybe it’s cloudy outside.
Phil: I hope it’s not a full moon. But anyway, you’ve got nothing to worry about. The number of liars here is odd.
Mrs. Krummel: So you know, the waiters and waitresses here are train to stab people who ask tricky questions.
Irene: Smullyan’s is pretty awesome. Like, there’s no earthquakes. You should stay.
TMTBOP: My dear fellow, I have taken it upon myself to inform you so helpfully that there are fewer than four truthtellers here.
Xiaolu: Urgh. The pizza is a lie. It tastes bad, too. On a more useful note, I am not the only truthteller.
Sam: Lovin’that totally dumbfounded look on your face.
Irene: log base 3 729 is equal to the number of truthteller’s here. Phil’s one of them.
Cecilia: You know, this is actually an illusion. You’ve hallucinated your entire experience here.
Mrs. Krummel: Actually, Irene, you need to check your math.
Erik: No way! Did you guys plan this without me! I said the right thing, right?
Everyone glares at Erik and starts to eat pizza.
–Erik, who would like to see solutions with explanations in the comments. If he like your solution, you will, get prestige, honor, and awesomeness.Note: If anyone has forgotten, the goal is to find out who Smullyan is.
Tricksy little hobbitses, they are.