This was a fun problem, but I think lookup table solutions are possible given the way the way the test suite is configured. Maybe you could add a string parser to see if the test suite correct solutions are included in the answer code?
Calculate the area of a triangle between three points
Permute diagonal and antidiagonal
Predicting life and death of a memory-less light bulb
Cache me Outside
Optimally fill a container with elements of different sizes
Number construction III
The sliding puzzle: 15
Number construction I
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