I recommend seeing this: https://en.wikipedia.org/wiki/Oscillator_(cellular_automaton)
In this problem, all he wants is how many steps are necessary for the automaton to repeat itself.
Make a Palindrome Number
Maximum running product for a string of numbers
Side of a rhombus
Matrix multiplication across rows
Chezz_020 Pawn Attack and Slaying King
Access a web hosted copy of the Tiles Contest MAT file
Rubik's Cube: 30 Moves or Less : Minimum Moves
Minimum Set (A+A)U(A*A) OEIS A263996
Rubik's Cube: Solve Randomized Cube - Score : Moves
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