Question: Could you please find the worst case of this algorithm ( T(n)) Algorithm 1 PowerOfThree if n=0 then return 1 end if rt 1 if

Could you please find the worst case of this algorithm ( T(n))

Algorithm 1 PowerOfThree if n=0 then return 1 end if rt 1 if n is odd then n+ n-1 rt 3 end if q+ PowerOfThree(n/2) return r * q? a. Derive a recurrence relation T(n) that represents the running time of PowerOfThree. You are permitted to condense any constant time terms in the recurrence into the constant 1. b. Find a closed form for your recurrence from part (a). s. Proye (hy induction) that your closed form is correct

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