Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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1. For this problem consider the Maximum problem stated below.
Маximum
Input: A sequence of n integers A= (a1,a2,., an).
Output: aj e A such that a; 2aj for all aj e A.
a) Using pseudocode state an algorithm that solves the Maximum problem using a
loop.
b) Identify the loop invariant for the loop in your algorithm that will help you prove
your algorithm is correct. That is, state the loop invariant as a proposition of the
kind "After iteration i of the loop...".
c) Using induction prove that your loop invariant holds for each iteration i.
d) Using the loop invariant show that your algorithm is correct.
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Transcribed Image Text:1. For this problem consider the Maximum problem stated below. Маximum Input: A sequence of n integers A= (a1,a2,., an). Output: aj e A such that a; 2aj for all aj e A. a) Using pseudocode state an algorithm that solves the Maximum problem using a loop. b) Identify the loop invariant for the loop in your algorithm that will help you prove your algorithm is correct. That is, state the loop invariant as a proposition of the kind "After iteration i of the loop...". c) Using induction prove that your loop invariant holds for each iteration i. d) Using the loop invariant show that your algorithm is correct.
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