# (Homework Solution): 1.3.37 Josephus problem. In the Josephus problem from antiquity, N people are in dire

1.3.37 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 them- selves 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 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 35042 6

********************Code For Joshepus Problem****************

package josephusproblem;

public class Josephus {

public static void main(String[] args) {

// get arguments

int N =Integer.valueOf(args[0]);

int M =Integer.valueOf(args[1]);

CircularQueue circle = new CircularQueue();

// initialize the circle

for (int i = 0; i < N; i++) {

circle.enqueue(i);

}

// eliminating from the circle

while (circle.size()+1 >=M) {

// push the skipped man to the end of queue

for (int i = 0; i <M-1; i++)

circle.enqueue(circle.dequeue());

// eliminate every Mth man

int r = circle.dequeue();

System.out.print(” ” + r);

}

}

}

**********************Code for CircularQueue****************

package josephusproblem;

public class CircularQueue {

private final int CAPACITY = 100;

private int front, rear, count;

private Integer[] queue;

public CircularQueue() {

front = rear = count = 0;

queue = new Integer[CAPACITY];

}

/* Adds the specified element to the rear of this queue*/

public void enqueue(int element) {

queue[rear] = element;

rear = rear + 1;

count++;

}

// Removes the element at the front of this queue and returns a reference to it.

public int dequeue() {

int result = queue[front];

queue[front] = null;

front = front + 1;

count–;

return result;

}

// Returns the number of elements currently in this queue.

public int size() {

return count;

}

}

****************OUTPUT*****************

THIS is the aurgument we are passing to our programm

This is output for the arguments

You can run this on command line also by comping the file with javac and running the file with command java Joshephus 7 2

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