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

1. (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...). Algorithm 1: FIND-MAX(A[1...) X-A[1] for k=2 to n do | x-max(x,A[k]) end return Use the loop invariant technique to prove that Find-Max(A) returns the maximum value in A

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