if n = 1 S(n//2) s(n-1) S(n – 1) S(n) = if n is even; // is Python integer division if n is odd andn>1 %3D In this part you must use repeated substitution to guess a closed form for S and prove by induction that this closed form holds. Make sure to state clearly. • What kind of induction you are using (simple or complete) • The predicate • Base case • Inductive hypothesis • Inductive case

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