Question: Exercise 5. (Josephus Problem) In the Josephus problem from antiquity, N people are in dire straits and agree to the following strategy to reduce the

 Exercise 5. (Josephus Problem) In the Josephus problem from antiquity, Npeople are in dire straits and agree to the following strategy to

Exercise 5. (Josephus Problem) In the Josephus problem from antiquity, N people are in dire straits and agree to the following strategy to reduce the population. They arrange themselves in a circle (at positions numbered from 0 to N - 1) and proceed around the circle, eliminating every Mth person until only one person is left. Legend has it that Josephus figured out where to sit to avoid being eliminated. Write a Queue client Josephus.java that takes N and M from the command line and prints out the order in which people are eliminated (and thus would show Josephus where to sit in the circle) $ java Josephus 7 2 1 3 5 0 4 2 6 2 j $ java Josephus 2 5 8 11 14 17 0 4 9 13 18 3 10 16 6 15 7 1 12 19 1onp2 20 3 13 18 3 10 16 6 15 7 1 12 19 import edu.princeton.cs. algs4.Queue; import edu.princeton.cs.algs4.StdOut; public class Josephus [ public static void main(String[] args) Get M and N from command line as ints /7 Create a queue q and enqueue integers int i - 0; // As long as q is not empty: increment i; // dequeue an element pos; if M divides i, //write pos, otherwise enqueue pos / Dequeue and write the remaining element / from q Josephus, java

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