Question: Suppose we define the recursive run time function T(n) such that T(1)= 40 and T(n)=2T(n/2)+60 (for n2 ). Use strong induction to show that there

Suppose we define the recursive run time function T(n) such that

Suppose we define the recursive run time function T(n) such that T(1)= 40 and T(n)=2T(n/2)+60 (for n2 ). Use strong induction to show that there are values for c and n0 such that T(n)cn60 for all nn0. 1) Complete the base case (i.e., find a value n0 such that T(n0)cn060). 2) What do you assume is true in the inductive step (i.e., the inductive hypothesis)? 3) What do you need to prove in the inductive step? 3) Complete the inductive step. (prove on the back)

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