Question: (10 pts.) Loop invariant Consider the following algorithm to find the maximum number in an array. The input is an array of n integers, A[1..n].

(10 pts.) Loop invariant Consider the following algorithm to find the

(10 pts.) Loop invariant Consider the following algorithm to find the maximum number in an array. The input is an array of n integers, A[1..n]. Algorithm 1: FIND-MAX(A[1..n]) x+ A[1] for k= 2 to n do 1 x+ max(x, A[k]) end return x Use the loop invariant technique to prove that Find-Max(A) returns the maximum value in A

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