java

For the following, write a loop invariant that can be used to prove correctness of the loop, prove the loop invariant is true at initialization, maintenance and termination and then use that to prove the correctness of the loop. (a) The following is a loop in selection sort that is used to find the minimum index of the smallest value in the remaining elements. min_index = j for i=j+1 to n if A[i] 0 and A[i] > key A[i + 1] = A[i] i = i - 1 A[i + 1] = key