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?
Find the palindrome
Back to basics 22 - Rotate a matrix
Make a random, non-repeating vector.
Magic is simple (for beginners)
Recaman Sequence - III
Optimally fill a container with elements of different sizes
Aztec Diamond domino tilings
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Sorting integers by their digits (Level 3)
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