Hi Tyler, this is a tough game. We know that we have an element of grouping in two ways (schools and languages), and while I think I would maybe call this a hybrid game, we will set it up in a way that looks multilinear, so you're not wrong to call this multilinear.
Rule one tells us that we have one language per school, so we can set up a board that looks as follows:
J: _(F) _(G) _(R)
S: _(F) _(G) _(R)
We know (K <-> L)
and Lx-Mx. This also means that M must teach at a different school from L and K.
We also know N(R) and O(F)
Since we know that LM must be in the same language, they must be in G, since there cannot be three teachers who teach the same language.
J: _(F) L/M(G) _(R)
S: _(F) L/M(G) _(R)
Since M cannot be at the same school as L, Must must be at a different school from K, so C cannot be true.
Yiannion July 11, 2023
I set up the game like this: is this bad?
_______<-F, G, or R
KLMNOP
_______ <-J or H
