Problem 4: Let A be an integer array of length n. The following algorithm is given: foo(A) n← A.length x ← A[1] for 2 to n do if A[i] > x then X = A[i] return x (i) What does foo(A) return? (ii) Write a loop invariant for foo(A). (iii) Using a loop invariant, prove that foo(A) is correct.
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for iii) prove by induction use base case, inductive step and proof of correctness.