a) Consider a recursive function to return the Number of Binary Digits in the Binary Representation of a Positive Decimal Integer (n) using a recursive algorithm. int Process (int n) {if (n == 1) return 1; else return (Extra() + Process (n/4) + Process (n/4)); } Given that Extra(n) is a function of O(n) 1) Find T(n) = number of arithmetic operations. 2) Calculate the complexity of this algorithm using Back Substitution. b) You are given an array A that contains n numbers, and you are also given a target valu T. The following algorithm is design for a specific purpose. SortX (A[1...n]) i = 1; Il sort the array A[ into ascending order j =n; while (i < j) { if (A)+Ai] < T) i++; else if (A[i]+A[] > T) else // (A[)+Ai] == T) return true; return false; 1) Explain the purpose of the above algorithm 2) What is the complexity of such algorithm? Why?

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