Answered: Please help me Josephus Problem is a…

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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Please help me

Josephus Problem is a theoretical problem related to a certain counting-out game. On this
case, people are standing in a circle waiting to be executed. After a specified number of
people are skipped, the next person is executed. The procedure is repeated with the
remaining people, starting with the next person, going in the same direction and skipping
the same number of people, until one person remains, and is freed.
Arrange the numbers 1 , 2, 3 , ... consecutively (say, clockwise) in a circle. Now remove
number 2 and proceed clockwise by removing every other number, among those that
remain, until one number is left.

(a) Let denote the final number which remains. Find formula for .
(b) If there are 70 people, what is the safe number (the number that remains)?

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