Yet another approach. If instance size is n,

A B C D a b c d
1. swap the element at n/2 and n-1
  A B C c a b D d
2. shift "a" and "b"
 A B a b C c D d

Now the instance size is n/2 (A B a b) Recursively perform steps 1. and
2. on it.

The swaps are constant only the shifts are a function of n.


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