Minimum steps to sort array


Consider you have a permutation of $ 1$ to $ n$ in an array $ array$ . Now select three distinct indices $ i$ ,$ j$ ,$ k$ , there is no need to be sorted. Let $ array_i$ , $ array_j$ and $ array_k$ be the values at those indices and now you make a right shift to it, that is $ new$ $ array_i$ = $ old$ $ array_j$ and $ new$ $ array_j$ = $ old$ $ array_k$ and $ new$ $ array_k$ =$ old$ $ array_i$ . Find the minimum number of operations required to sort the array or if is impossible how to determine it.

Example : Consider $ array= [3,1,2]$ ; consider indices $ (1,3,2)$ in the given order after applying one operation it is $ s =[1,3,2]$ .

Can anybody share your approach.