There is no need to test all cases. The ideal case is a swiss cheese in which no guest share a wall. Just start filling rooms from there if needed (the only problems is that room filling must follow an order, which makes the code quite large (but repetitive and boring), and there are two base cases for the swiss cheese structure). Maybe it's possible to create a function and decrease code size, but unless you see it at the moment that you are coding it, it would mean loosing too much time during competition when a Ctrl+C, Ctrl+V would be faster (and better than testing all cases).
Currently, my solutions and this one are the only that don't use brute force, but this one is the smallest. Congrats. :) (I was able to create a smaller solution after looking at your code.)
Return the Fibonacci Sequence
Getting the indices from a vector
Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)
GJam 2016 Rd1A: Rank and File (Large)
GJam:2013 World B: MAD Drummer
Compression: Encode and Decode
Prime Sequences: AP-k Minimum Final Value
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