I found an interesting game, as found on Andrew Nikitin's 
MSX-BASIC page http://nsg.upor.net/msx/basic/basic.htm ,
and I am not sure if its solver has been given as a puzzle.
Here it goes.

1D Rubik's Cube is a line of 6 numbers with
original position:

  1 2 3 4 5 6

which can be rotated in 3 different ways
in groups of four:
    _______                _______
   (1 2 3 4)5 6  --(0)->  (4 3 2 1)5 6
      _______                _______
    1(2 3 4 5)6  --(1)->   1(5 4 3 2)6
        _______                _______
    1 2(3 4 5 6) --(2)->   1 2(6 5 4 3)

Given a scrambled line, return the shortest sequence of 
rotations to restore the original position.

Examples:

   solve 1 3 2 6 5 4
1 2 1
   solve 5 6 2 1 4 3
0 2
   solve 6 5 4 1 2 3
0 1 2



 
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