Consider the following code, assuming that i, x, and n are integers, with n ≥ 0. • State a non-trivial loop invariant (which must include conditions for i and x). • Prove the loop invariant. Be sure that the proof includes the final conditions after the loop has ended. • Note: a correct proof of an incorrect invariant will still receive partial credit. Give the final value of x in terms of n. • Note: (for the sake of readability) the value 2² in the code below is 2 to the power of i. • Note: I or symbol (with ranges) meaning product or sum of terms can be used as part of loop invariant.
Consider the following code, assuming that i, x, and n are integers, with n ≥ 0. • State a non-trivial loop invariant (which must include conditions for i and x). • Prove the loop invariant. Be sure that the proof includes the final conditions after the loop has ended. • Note: a correct proof of an incorrect invariant will still receive partial credit. Give the final value of x in terms of n. • Note: (for the sake of readability) the value 2² in the code below is 2 to the power of i. • Note: I or symbol (with ranges) meaning product or sum of terms can be used as part of loop invariant.
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
Problem 8SA
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