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I read somewhere that no matter how messed up the cube is, you can always solve it with a certain combination and number of moves. If that's true it's just a matter of memorizing and practice. The robot ealier works with the same principle I think.
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Any Rubik's cube can be solved in 20 moves or fewer. That said, there's no simple rule for finding those 20 moves; that number was determined by using supercomputers to try out every possible permutation.