I recommend seeing this: https://en.wikipedia.org/wiki/Oscillator_(cellular_automaton)
It's similar to the previous one, but there are multiple automatons and the problem asks for the previous step to the current state.
Great Circle Distance
Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
Knights and Knaves (part 2)
Binpack Contest: Retro - - Best Packing
Solve Rubik's Cube - Up to Two Face Moves
Minimum Distance between two N-sided Polygons
Path Optimization thru N words : Time Optimization
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