That's all theoretically perfect. But try to simulate this logic to
our good friend goro in the specific problem. Let's say he finds an
item that is not in the right order. He would have to pick it up to
his hand/finger, hold it there , pick the right item , put the right
item in the position, and NOT do anything with the other item than
just holding it. In case he would put it in the blank spot it would
cause the whole algorithm to break (that's the logic i followed).
Anyway maybe i am missing something but for now the way i see it it
was not a very well declared problem.

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