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(a) Consider the following algorithm. Input: Integers n and a such that n 2 0 and a > 1. (1) If 0 < n < a, stop. Otherwise, go to (2). (2) Replace n by n – a and go back to (1). How many times does this algorithm enter step (2)? Explain your answer. (Hint: the answer depends on both n and a, i.e. you should calculate the number of times that the algorithm enters step (2) as a function of n and a.)

(a) Consider the following algorithm. Input: Integers n and a such that n 2 0 and a > 1. (1) If 0 < n < a, stop. Otherwise, go to (2). (2) Replace n by n – a and go back to (1). How many times does this algorithm enter step (2)? Explain your answer. (Hint: the answer depends on both n and a, i.e. you should calculate the number of times that the algorithm enters step (2) as a function of n and a.)

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:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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(a) Consider the following algorithm. Input: Integers n and a such that n >0 and a > 1. (1) If 0 < n < a, stop. Otherwise, go to (2). (2) Replace n by n – a and go back to (1). How many times does this algorithm enter step (2)? Explain your answer. (Hint: the answer depends on both n and a, i.e. you should calculate the number of times that the algorithm enters step (2) as a function of n and a.)
Transcribed Image Text:(a) Consider the following algorithm. Input: Integers n and a such that n >0 and a > 1. (1) If 0 < n < a, stop. Otherwise, go to (2). (2) Replace n by n – a and go back to (1). How many times does this algorithm enter step (2)? Explain your answer. (Hint: the answer depends on both n and a, i.e. you should calculate the number of times that the algorithm enters step (2) as a function of n and a.)
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