One-friend recursion vs iteration. 1. Your task is to accept a tuple a1, a2, ... , an and return the reversed tuple an, an−1, ... , a1. Being lazy, you will only strip off an element from one end or add an element back onto one end. But you have recursive friends to help you. Provide both a paragraph containing the friend’s explanation of the algorithm, and the recursive code. 2. Now suppose that you have a stack, but no friends. (See Chapter 3). Quickly sketch an iterative program that solves this same problem. Be sure to include loop invariants and other the key steps required for describing an iterative algorithm. 3. Trace each of these two programs. Step by step, compare and contrast their computations on a computer.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
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One-friend recursion vs iteration.
1. Your task is to accept a tuple a1, a2, ... , an and return the reversed tuple an, an−1, ... , a1. Being lazy, you will only strip off an element from one end or add an element back onto one end. But you have recursive friends to help you. Provide both a paragraph containing the friend’s explanation of the algorithm, and the recursive code.
2. Now suppose that you have a stack, but no friends. (See Chapter 3). Quickly sketch an iterative program that solves this same problem. Be sure to include loop invariants and other the key steps required for describing an iterative algorithm.
3. Trace each of these two programs. Step by step, compare and contrast their computations on a computer.

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