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.)
Matrix with different incremental runs
Getting logical indexes
Generate pi using logarithm
PACMAT 06 - Optimized Ghosts, Equal Speed, Inf Lives; Interactive Download
GJam 2014 China Rd B: Dragon Maze
Creation of 2D Sinc Surface
Vector Linear sum: (p1-m1)V1+(p2-m2)V2+...(pK-mk)Vk
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