I think this is sort of equivalent to the rubic cube. 
where u can scramble the cube within a second, but
then try forever to get the solution (unless ofcourse
if you know the tricks).

Here you have the numbers and signle dimension only.
Puzzle can be extended for multi-dimensions.

So:
Let's say if we have "1 2 3 4 5 6"
Applying couple roations:

1 2 3 4 5 6
=>1 2 6 5 4 3
=>1 4 5 6 2 3

And challange is to get back: 1 2 3 4 5 6 from "1 4 5
6 2 3" with minimum steps. Ideally in the case given
it should only take 2 rotations.

Artist.





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