CSCI203: Do a dry run on the two algorithms (ALGORITHM 1 and ALGORITHM 2) shown below: Data Structures And Algorithm Assignment, SIM, Singapore

Question 2
Do a dry run on the two algorithms (ALGORITHM 1 and ALGORITHM 2) shown below.

a) Briefly explain what the purposes of the two algorithms are and state the
asymptotic run-time complexity of each of the algorithms.

b) For the following Binary Search Tree (BST):

What is returned by the function call A1(root)?

c) For the Binary Search Tree (BST) in part (b), provide a detail analysis on
the run-time complexity of the ALGORITHM 2, as explained in the lecture.

d) Re-write the function A2, in pseudocode, using recursive function calls. You
may not use any form of iteration. (10.0 marks)

e) For a general Binary Search Tree (BST) of N elements, which of the two
algorithms A1 and A2, should you use? Give your choice and explain your
reasoning.