Part 1) Write pseudocode for an iterative algorithm which fi

Part 1) Write pseudocode for an iterative algorithm which finds the maximum value of a listof integers. Use a loop invariant to prove your algorithm is correct. (Presumably you havealready written a program like this over the course of your studies! The interesting part hereis the proof.)Part 2) Prove by induction the recursive program F oo is correct: Foo determines if there are two indices i and j, p ≤ i x then return Foo(A, p, q − 1, x) end if if ap + aq < x then return Foo(A, p + 1, q, x) end if end if end procedure

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