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.)
Remove all the words that end with "ain"
Program an exclusive OR operation with logical operators
Sum the Digits of a Number
Max index of 3D array
Genome Sequence 004: Long 3rd Generation Segment Correction
Rubik's Mini-Cube: Solve Randomized Mini-Cube - Score : Moves
USC Fall 2012 ACM : Find Largest Water Concentration
Kaggle 2020 Drone Delivery Contest
Loading/Expanding a ZIP file from File Exchange
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