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.)
Bottles of beer
Return unique values without sorting
Say something funny
Fahrenheit to Celsius converter
Create a Cell array of month-end date strings within a date range
Vine Contest 1-D Case Optimization: Board 78
Criss_Cross_010 : Unique elements, Square array, Words in one array
Kaggle: Reverse Game of Life - Zoo of Stills and Oscillators
REPMAT Enhancement - Faster for Large Row Replication of Vector
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