Question: My question is to prove the algorithm to find the minimum number of moves needed to solve the Hanoi puzzle. I have attached the algorithm.

My question is to prove the algorithm to find the minimum number of moves needed to solve the Hanoi puzzle. I have attached the algorithm. I am facing the difficulty to find the pre and post condition as well as the invariant. I have the tried to prove it but I am not sure if my answer is right or not. However the below is the algorithm which needs to be proved. Please help me with this. Waiting for your help.
 My question is to prove the algorithm to find the minimum

function minimumMoves (n) i -1 J1 while it n 2 ii+ 1 end while return i end function

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