Discrete Mathematics With Applicat...

5th Edition

EPP + 1 other

ISBN: 9781337694193

Textbook Problem

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Exercises 8—11 refer to the following algorithm segment. For each positive integer n, let a n be the number of iterations of the while loop.

while ( n > 0 ) n : = n d i v 2

end while

11. Find an order for this algorithm segment.

To determine

Find an order for this algorithm segment.

Explanation

Given information:

For each positive integer n, let a_n be the number of iterations of the while loop. while ( n > 0)

n := n div 2

end whileCalculation:

an= number of iterations of the while-loop

Result previous exercise:

an=1+⌊log2n⌋ for all integers n≥1

The number of iterations of the algorithm is the number of iterations of the while-loop as the algorithm only contains the while-loop

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Chapter 11 Solutions

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Sect-11.1 P-1TY Sect-11.1 P-2TY Sect-11.1 P-3TY Sect-11.1 P-4TY Sect-11.1 P-5TY Sect-11.1 P-6TY Sect-11.1 P-1ES Sect-11.1 P-2ES Sect-11.1 P-3ES Sect-11.1 P-4ES

Sect-11.1 P-5ES Sect-11.1 P-6ES Sect-11.1 P-7ES Sect-11.1 P-8ES Sect-11.1 P-9ES Sect-11.1 P-10ES Sect-11.1 P-11ES Sect-11.1 P-12ES Sect-11.1 P-13ES Sect-11.1 P-14ES Sect-11.1 P-15ES Sect-11.1 P-16ES Sect-11.1 P-17ES Sect-11.1 P-18ES Sect-11.1 P-19ES Sect-11.1 P-20ES Sect-11.1 P-21ES Sect-11.1 P-22ES Sect-11.1 P-23ES Sect-11.1 P-24ES Sect-11.1 P-25ES Sect-11.1 P-26ES Sect-11.1 P-27ES Sect-11.1 P-28ES Sect-11.2 P-1TY Sect-11.2 P-2TY Sect-11.2 P-3TY Sect-11.2 P-4TY Sect-11.2 P-5TY Sect-11.2 P-6TY Sect-11.2 P-1ES Sect-11.2 P-2ES Sect-11.2 P-3ES Sect-11.2 P-4ES Sect-11.2 P-5ES Sect-11.2 P-6ES Sect-11.2 P-7ES Sect-11.2 P-8ES Sect-11.2 P-9ES Sect-11.2 P-10ES Sect-11.2 P-11ES Sect-11.2 P-12ES Sect-11.2 P-13ES Sect-11.2 P-14ES Sect-11.2 P-15ES Sect-11.2 P-16ES Sect-11.2 P-17ES Sect-11.2 P-18ES Sect-11.2 P-19ES Sect-11.2 P-20ES Sect-11.2 P-21ES Sect-11.2 P-22ES Sect-11.2 P-23ES Sect-11.2 P-24ES Sect-11.2 P-25ES Sect-11.2 P-26ES Sect-11.2 P-27ES Sect-11.2 P-28ES Sect-11.2 P-29ES Sect-11.2 P-30ES Sect-11.2 P-31ES Sect-11.2 P-32ES Sect-11.2 P-33ES Sect-11.2 P-34ES Sect-11.2 P-35ES Sect-11.2 P-36ES Sect-11.2 P-37ES Sect-11.2 P-38ES Sect-11.2 P-39ES Sect-11.2 P-40ES Sect-11.2 P-41ES Sect-11.2 P-42ES Sect-11.2 P-43ES Sect-11.2 P-44ES Sect-11.2 P-45ES Sect-11.2 P-46ES Sect-11.2 P-47ES Sect-11.2 P-48ES Sect-11.2 P-49ES Sect-11.2 P-50ES Sect-11.2 P-51ES Sect-11.3 P-1TY Sect-11.3 P-2TY Sect-11.3 P-3TY Sect-11.3 P-1ES Sect-11.3 P-2ES Sect-11.3 P-3ES Sect-11.3 P-4ES Sect-11.3 P-5ES Sect-11.3 P-6ES Sect-11.3 P-7ES Sect-11.3 P-8ES Sect-11.3 P-9ES Sect-11.3 P-10ES Sect-11.3 P-11ES Sect-11.3 P-12ES Sect-11.3 P-13ES Sect-11.3 P-14ES Sect-11.3 P-15ES Sect-11.3 P-16ES Sect-11.3 P-17ES Sect-11.3 P-18ES Sect-11.3 P-19ES Sect-11.3 P-20ES Sect-11.3 P-21ES Sect-11.3 P-22ES Sect-11.3 P-23ES Sect-11.3 P-24ES Sect-11.3 P-25ES Sect-11.3 P-26ES Sect-11.3 P-27ES Sect-11.3 P-28ES Sect-11.3 P-29ES Sect-11.3 P-30ES Sect-11.3 P-31ES Sect-11.3 P-32ES Sect-11.3 P-33ES Sect-11.3 P-34ES Sect-11.3 P-35ES Sect-11.3 P-36ES Sect-11.3 P-37ES Sect-11.3 P-38ES Sect-11.3 P-39ES Sect-11.3 P-40ES Sect-11.3 P-41ES Sect-11.3 P-42ES Sect-11.3 P-43ES Sect-11.4 P-1TY Sect-11.4 P-2TY Sect-11.4 P-3TY Sect-11.4 P-4TY Sect-11.4 P-5TY Sect-11.4 P-1ES Sect-11.4 P-2ES Sect-11.4 P-3ES Sect-11.4 P-4ES Sect-11.4 P-5ES Sect-11.4 P-6ES Sect-11.4 P-7ES Sect-11.4 P-8ES Sect-11.4 P-9ES Sect-11.4 P-10ES Sect-11.4 P-11ES Sect-11.4 P-12ES Sect-11.4 P-13ES Sect-11.4 P-14ES Sect-11.4 P-15ES Sect-11.4 P-16ES Sect-11.4 P-17ES Sect-11.4 P-18ES Sect-11.4 P-19ES Sect-11.4 P-20ES Sect-11.4 P-21ES Sect-11.4 P-22ES Sect-11.4 P-23ES Sect-11.4 P-24ES Sect-11.4 P-25ES Sect-11.4 P-26ES Sect-11.4 P-27ES Sect-11.4 P-28ES Sect-11.4 P-29ES Sect-11.4 P-30ES Sect-11.4 P-31ES Sect-11.4 P-32ES Sect-11.4 P-33ES Sect-11.4 P-34ES Sect-11.4 P-35ES Sect-11.4 P-36ES Sect-11.4 P-37ES Sect-11.4 P-38ES Sect-11.4 P-39ES Sect-11.4 P-40ES Sect-11.4 P-41ES Sect-11.4 P-42ES Sect-11.4 P-43ES Sect-11.4 P-44ES Sect-11.4 P-45ES Sect-11.4 P-46ES Sect-11.4 P-47ES Sect-11.4 P-48ES Sect-11.4 P-49ES Sect-11.4 P-50ES Sect-11.4 P-51ES Sect-11.5 P-1TY Sect-11.5 P-2TY Sect-11.5 P-3TY Sect-11.5 P-4TY Sect-11.5 P-5TY Sect-11.5 P-1ES Sect-11.5 P-2ES Sect-11.5 P-3ES Sect-11.5 P-4ES Sect-11.5 P-5ES Sect-11.5 P-6ES Sect-11.5 P-7ES Sect-11.5 P-8ES Sect-11.5 P-9ES Sect-11.5 P-10ES Sect-11.5 P-11ES Sect-11.5 P-12ES Sect-11.5 P-13ES Sect-11.5 P-14ES Sect-11.5 P-15ES Sect-11.5 P-16ES Sect-11.5 P-17ES Sect-11.5 P-18ES Sect-11.5 P-19ES Sect-11.5 P-20ES Sect-11.5 P-21ES Sect-11.5 P-22ES Sect-11.5 P-23ES Sect-11.5 P-24ES Sect-11.5 P-25ES Sect-11.5 P-26ES

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