Problem 5 Recursive algorithm Design a recursive algorithm called exterma(A, p, r) that finds and returns the ordered pair (min(A[p..r]), max(A[p..r])). Your algorithm should perform exactly []-2 array comparisons on an

input array of length n. Problem 5 [Recursive algorithm] continued on next page... Algorithms CS 460: Assignment 2 Page 2 of 3 Problem 5 1) Write your algorithm in pseudocode. 2) Prove the correctness of your algorithm by induction on m=r-p+1, the length of the subarray A[p..r]. 3) Write a recurrence for the number of comparisons performed on A[1,..n] and show that T(n) = [1-2 is the solution.