Josephus circle using circular linked list

Here given code implementation process.

/*
    C Program 
    Josephus circle using circular linked list
*/
#include <stdio.h>
#include <stdlib.h>

 // Linked List Node
struct LinkNode
{
	int data;
	struct LinkNode *next;
};
// Circular List
struct CircularList
{
	struct LinkNode *head;
	struct LinkNode *rear;
};
// Returns a new linked list
struct CircularList *newCLL()
{
	// Create dynamic node
	struct CircularList *cll = (struct CircularList *) malloc(sizeof(struct CircularList));
	if (cll != NULL)
	{
		cll->head = NULL;
		cll->rear = NULL;
	}
	else
	{
		// When memory are not allocated 
		printf("Memory Overflow to Create Circular List\n");
	}
	return cll;
}
// Returns a new Node of linked list
struct LinkNode *createLinkNode(int data)
{
	// Create dynamic node
	struct LinkNode *node = (struct LinkNode *) malloc(sizeof(struct LinkNode));
	if (node == NULL)
	{
		printf("Memory overflow\n");
	}
	else
	{
		// Set initial node value
		node->data = data;
		node->next = NULL;
	}
	return node;
}
// Add node in circular linked list
void addNode(struct CircularList *cll, int data)
{
	struct LinkNode *node = createLinkNode(data);
	if (cll->head == NULL)
	{
		// First node of linked list
		cll->head = node;
	}
	else
	{
		// Add new node at last position
		cll->rear->next = node;
	}
	// Connect the first node to the last
	node->next = cll->head;
	// Get new last node
	cll->rear = node;
}
// Implement josephus circle in circular linked list
void josephusCircle(int size, int n)
{
	if (n <= 0)
	{
		return;
	}
	if (n == 1)
	{
		// Base case
		printf(" Josephus Position  %d \n", size);
		return;
	}
	struct CircularList *cll = newCLL();
	// Construct linked list 
	for (int i = 1; i <= size; ++i)
	{
		addNode(cll, i);
	}
	// Define some auxiliary variables
	struct LinkNode *auxiliary = cll->head;
	struct LinkNode *back = cll->head;
	int counter = 0;
	// Execute loop until when more than one node in linked list
	while (auxiliary->next != auxiliary)
	{
		// Used to find n-th node
		counter = 1;
		while (counter != n)
		{
			// Get current node
			back = auxiliary;
			// Visit to next node
			auxiliary = auxiliary->next;
			counter++;
		}
		// Segregating n-th position node
		back->next = auxiliary->next;
		// Free the node memory    
		free(auxiliary);
		// Visit to next node
		auxiliary = back->next;
	}
	printf("\n Size : %d  N : %d \n", size, n);
	// Display last remaining node
	printf(" Josephus Position  %d \n", auxiliary->data);
}
int main(int argc, char
	const *argv[])
{
	// Number of element in circle
	int size = 10;
	int n = 4;
	josephusCircle(size, n);
	n = 6;
	josephusCircle(size, n);
	return 0;
}

Output

 Size : 10  N : 4
 Josephus Position  5

 Size : 10  N : 6
 Josephus Position  3
/*
   Java Program 
   Josephus circle using circular linked list
*/
// Linked list Node
class LinkNode
{
	public int data;
	public LinkNode next;
	public LinkNode(int data)
	{
		// Set node value
		this.data = data;
		this.next = null;
	}
}
// Define Circular List
class CircularList
{
	public LinkNode head;
	public LinkNode rear;
	public CircularList()
	{
		this.head = null;
		this.rear = null;
	}
	// Add node in circular linked list
	public void addNode(int data)
	{
		LinkNode node = new LinkNode(data);
		if (this.head == null)
		{
			// First node of linked list
			this.head = node;
		}
		else
		{
			// Add new node at last position
			this.rear.next = node;
		}
		// Connect the first node to the last
		node.next = this.head;
		// Get new last node
		this.rear = node;
	}
}
public class JosephusCircle
{
	// Implement josephus circle in circular linked list
	public void josephusPosition(int size, int n)
	{
		if (n <= 0)
		{
			return;
		}
		if (n == 1)
		{
			// Base case
			System.out.print(" Josephus Position " + size + " \n");
			return;
		}
		CircularList cll = new CircularList();
		// Construct linked list 
		for (int i = 1; i <= size; ++i)
		{
			cll.addNode(i);
		}
		// Define some auxiliary variables
		LinkNode auxiliary = cll.head;
		LinkNode back = cll.head;
		int counter = 0;
		cll.head = null;
		cll.rear = null;
		// Execute loop until when more than one node in linked list
		while (auxiliary.next != auxiliary)
		{
			// Used to find n-th node
			counter = 1;
			while (counter != n)
			{
				// Get current node
				back = auxiliary;
				// Visit to next node
				auxiliary = auxiliary.next;
				counter++;
			}
			// Segregating n-th position node
			back.next = auxiliary.next;
			// Visit to next node
			auxiliary = back.next;
		}
		System.out.print("\n Size : " + size + " N : " + n + " \n");
		// Display last remaining node
		System.out.print(" Josephus Position " + auxiliary.data + " \n");
		cll.head = auxiliary;
		cll.rear = auxiliary;
	}
	public static void main(String[] args)
	{
		JosephusCircle task = new JosephusCircle();
		// Number of element in circle
		int size = 10;
		int n = 4;
		task.josephusPosition(size, n);
		n = 6;
		task.josephusPosition(size, n);
	}
}

Output

 Size : 10 N : 4
 Josephus Position 5

 Size : 10 N : 6
 Josephus Position 3
// Include header file
#include <iostream>

using namespace std;
/*
   C++ Program 
   Josephus circle using circular linked list
*/
// Linked list Node
class LinkNode
{
    public: int data;
    LinkNode *next;
    LinkNode(int data)
    {
        // Set node value
        this->data = data;
        this->next = NULL;
    }
};
// Define Circular List
class CircularList
{
    public: LinkNode *head;
    LinkNode *rear;
    CircularList()
    {
        this->head = NULL;
        this->rear = NULL;
    }
    // Add node in circular linked list
    void addNode(int data)
    {
        LinkNode *node = new LinkNode(data);
        if (this->head == NULL)
        {
            // First node of linked list
            this->head = node;
        }
        else
        {
            // Add new node at last position
            this->rear->next = node;
        }
        // Connect the first node to the last
        node->next = this->head;
        // Get new last node
        this->rear = node;
    }
};
class JosephusCircle
{
    public:
        // Implement josephus circle in circular linked list
        void josephusPosition(int size, int n)
        {
            if (n <= 0)
            {
                return;
            }
            if (n == 1)
            {
                // Base case
                cout << " Josephus Position " << size << " \n";
                return;
            }
            CircularList cll = CircularList();
            // Construct linked list
            for (int i = 1; i <= size; ++i)
            {
                cll.addNode(i);
            }
            // Define some auxiliary variables
            LinkNode *auxiliary = cll.head;
            LinkNode *back = cll.head;
            int counter = 0;
            cll.head = NULL;
            cll.rear = NULL;
            // Execute loop until when more than one node in linked list
            while (auxiliary->next != auxiliary)
            {
                // Used to find n-th node
                counter = 1;
                while (counter != n)
                {
                    // Get current node
                    back = auxiliary;
                    // Visit to next node
                    auxiliary = auxiliary->next;
                    counter++;
                }
                // Segregating n-th position node
                back->next = auxiliary->next;
                delete auxiliary;
                // Visit to next node
                auxiliary = back->next;
            }
            cout << "\n Size : " << size << " N : " << n << " \n";
            // Display last remaining node
            cout << " Josephus Position " << auxiliary->data << " \n";
            cll.head = auxiliary;
            cll.rear = auxiliary;
        }
};
int main()
{
    JosephusCircle task = JosephusCircle();
    // Number of element in circle
    int size = 10;
    int n = 4;
    task.josephusPosition(size, n);
    n = 6;
    task.josephusPosition(size, n);
    return 0;
}

Output

 Size : 10 N : 4
 Josephus Position 5

 Size : 10 N : 6
 Josephus Position 3
// Include namespace system
using System;
/*
   C# Program 
   Josephus circle using circular linked list
*/
// Linked list Node
public class LinkNode
{
	public int data;
	public LinkNode next;
	public LinkNode(int data)
	{
		// Set node value
		this.data = data;
		this.next = null;
	}
}
// Define Circular List
public class CircularList
{
	public LinkNode head;
	public LinkNode rear;
	public CircularList()
	{
		this.head = null;
		this.rear = null;
	}
	// Add node in circular linked list
	public void addNode(int data)
	{
		LinkNode node = new LinkNode(data);
		if (this.head == null)
		{
			// First node of linked list
			this.head = node;
		}
		else
		{
			// Add new node at last position
			this.rear.next = node;
		}
		// Connect the first node to the last
		node.next = this.head;
		// Get new last node
		this.rear = node;
	}
}
public class JosephusCircle
{
	// Implement josephus circle in circular linked list
	public void josephusPosition(int size, int n)
	{
		if (n <= 0)
		{
			return;
		}
		if (n == 1)
		{
			// Base case
			Console.Write(" Josephus Position " + size + " \n");
			return;
		}
		CircularList cll = new CircularList();
		// Construct linked list
		for (int i = 1; i <= size; ++i)
		{
			cll.addNode(i);
		}
		// Define some auxiliary variables
		LinkNode auxiliary = cll.head;
		LinkNode back = cll.head;
		int counter = 0;
		cll.head = null;
		cll.rear = null;
		// Execute loop until when more than one node in linked list
		while (auxiliary.next != auxiliary)
		{
			// Used to find n-th node
			counter = 1;
			while (counter != n)
			{
				// Get current node
				back = auxiliary;
				// Visit to next node
				auxiliary = auxiliary.next;
				counter++;
			}
			// Segregating n-th position node
			back.next = auxiliary.next;
			// Visit to next node
			auxiliary = back.next;
		}
		Console.Write("\n Size : " + size + " N : " + n + " \n");
		// Display last remaining node
		Console.Write(" Josephus Position " + auxiliary.data + " \n");
		cll.head = auxiliary;
		cll.rear = auxiliary;
	}
	public static void Main(String[] args)
	{
		JosephusCircle task = new JosephusCircle();
		// Number of element in circle
		int size = 10;
		int n = 4;
		task.josephusPosition(size, n);
		n = 6;
		task.josephusPosition(size, n);
	}
}

Output

 Size : 10 N : 4
 Josephus Position 5

 Size : 10 N : 6
 Josephus Position 3
<?php
/*
   Php Program 
   Josephus circle using circular linked list
*/
// Linked list Node
class LinkNode
{
	public $data;
	public $next;

	function __construct($data)
	{
		// Set node value
		$this->data = $data;
		$this->next = null;
	}
}
// Define Circular List
class CircularList
{
	public $head;
	public $rear;

	function __construct()
	{
		$this->head = null;
		$this->rear = null;
	}
	// Add node in circular linked list
	public	function addNode($data)
	{
		$node = new LinkNode($data);
		if ($this->head == null)
		{
			// First node of linked list
			$this->head = $node;
		}
		else
		{
			// Add new node at last position
			$this->rear->next = $node;
		}
		// Connect the first node to the last
		$node->next = $this->head;
		// Get new last node
		$this->rear = $node;
	}
}
class JosephusCircle
{
	// Implement josephus circle in circular linked list
	public	function josephusPosition($size, $n)
	{
		if ($n <= 0)
		{
			return;
		}
		if ($n == 1)
		{
			// Base case
			echo " Josephus Position ". $size ." \n";
			return;
		}
		$cll = new CircularList();
		// Construct linked list
		for ($i = 1; $i <= $size; ++$i)
		{
			$cll->addNode($i);
		}
		// Define some auxiliary variables
		$auxiliary = $cll->head;
		$back = $cll->head;
		$counter = 0;
		$cll->head = null;
		$cll->rear = null;
		// Execute loop until when more than one node in linked list
		while ($auxiliary->next != $auxiliary)
		{
			// Used to find n-th node
			$counter = 1;
			while ($counter != $n)
			{
				// Get current node
				$back = $auxiliary;
				// Visit to next node
				$auxiliary = $auxiliary->next;
				$counter++;
			}
			// Segregating n-th position node
			$back->next = $auxiliary->next;
			// Visit to next node
			$auxiliary = $back->next;
		}
		echo "\n Size : ". $size ." N : ". $n ." \n";
		// Display last remaining node
		echo " Josephus Position ". $auxiliary->data ." \n";
		$cll->head = $auxiliary;
		$cll->rear = $auxiliary;
	}
}

function main()
{
	$task = new JosephusCircle();
	// Number of element in circle
	$size = 10;
	$n = 4;
	$task->josephusPosition($size, $n);
	$n = 6;
	$task->josephusPosition($size, $n);
}
main();

Output

 Size : 10 N : 4
 Josephus Position 5

 Size : 10 N : 6
 Josephus Position 3
/*
   Node Js Program 
   Josephus circle using circular linked list
*/
// Linked list Node
class LinkNode
{
	constructor(data)
	{
		// Set node value
		this.data = data;
		this.next = null;
	}
}
// Define Circular List
class CircularList
{
	constructor()
	{
		this.head = null;
		this.rear = null;
	}
	// Add node in circular linked list
	addNode(data)
	{
		var node = new LinkNode(data);
		if (this.head == null)
		{
			// First node of linked list
			this.head = node;
		}
		else
		{
			// Add new node at last position
			this.rear.next = node;
		}
		// Connect the first node to the last
		node.next = this.head;
		// Get new last node
		this.rear = node;
	}
}
class JosephusCircle
{
	// Implement josephus circle in circular linked list
	josephusPosition(size, n)
	{
		if (n <= 0)
		{
			return;
		}
		if (n == 1)
		{
			// Base case
			process.stdout.write(" Josephus Position " + size + " \n");
			return;
		}
		var cll = new CircularList();
		// Construct linked list
		for (var i = 1; i <= size; ++i)
		{
			cll.addNode(i);
		}
		// Define some auxiliary variables
		var auxiliary = cll.head;
		var back = cll.head;
		var counter = 0;
		cll.head = null;
		cll.rear = null;
		// Execute loop until when more than one node in linked list
		while (auxiliary.next != auxiliary)
		{
			// Used to find n-th node
			counter = 1;
			while (counter != n)
			{
				// Get current node
				back = auxiliary;
				// Visit to next node
				auxiliary = auxiliary.next;
				counter++;
			}
			// Segregating n-th position node
			back.next = auxiliary.next;
			// Visit to next node
			auxiliary = back.next;
		}
		process.stdout.write("\n Size : " + size + " N : " + n + " \n");
		// Display last remaining node
		process.stdout.write(" Josephus Position " + auxiliary.data + " \n");
		cll.head = auxiliary;
		cll.rear = auxiliary;
	}
}

function main()
{
	var task = new JosephusCircle();
	// Number of element in circle
	var size = 10;
	var n = 4;
	task.josephusPosition(size, n);
	n = 6;
	task.josephusPosition(size, n);
}
main();

Output

 Size : 10 N : 4
 Josephus Position 5

 Size : 10 N : 6
 Josephus Position 3
#  Python 3 Program 
#  Josephus circle using circular linked list

#  Linked list Node
class LinkNode :
	
	def __init__(self, data) :
		#  Set node value
		self.data = data
		self.next = None
	

#  Define Circular List
class CircularList :
	
	def __init__(self) :
		self.head = None
		self.rear = None
	
	#  Add node in circular linked list
	def addNode(self, data) :
		node = LinkNode(data)
		if (self.head == None) :
			#  First node of linked list
			self.head = node
		else :
			#  Add new node at last position
			self.rear.next = node
		
		#  Connect the first node to the last
		node.next = self.head
		#  Get new last node
		self.rear = node
	

class JosephusCircle :
	#  Implement josephus circle in circular linked list
	def josephusPosition(self, size, n) :
		if (n <= 0) :
			return
		
		if (n == 1) :
			#  Base case
			print(" Josephus Position ", size ," ")
			return
		
		cll = CircularList()
		i = 1
		#  Construct linked list
		while (i <= size) :
			cll.addNode(i)
			i += 1
		
		#  Define some auxiliary variables
		auxiliary = cll.head
		back = cll.head
		counter = 0
		cll.head = None
		cll.rear = None
		#  Execute loop until when more than one node in linked list
		while (auxiliary.next != auxiliary) :
			#  Used to find n-th node
			counter = 1
			while (counter != n) :
				#  Get current node
				back = auxiliary
				#  Visit to next node
				auxiliary = auxiliary.next
				counter += 1
			
			#  Segregating n-th position node
			back.next = auxiliary.next
			#  Visit to next node
			auxiliary = back.next
		
		print("\n Size : ", size ," N : ", n ," ")
		#  Display last remaining node
		print(" Josephus Position ", auxiliary.data ," ")
		cll.head = auxiliary
		cll.rear = auxiliary
	

def main() :
	task = JosephusCircle()
	#  Number of element in circle
	size = 10
	n = 4
	task.josephusPosition(size, n)
	n = 6
	task.josephusPosition(size, n)

if __name__ == "__main__": main()

Output

 Size :  10  N :  4
 Josephus Position  5

 Size :  10  N :  6
 Josephus Position  3
#  Ruby Program 
#  Josephus circle using circular linked list

#  Linked list Node
class LinkNode  
	# Define the accessor and reader of class LinkNode  
	attr_reader :data, :next
	attr_accessor :data, :next
 
	
	def initialize(data) 
		#  Set node value
		self.data = data
		self.next = nil
	end

end

#  Define Circular List
class CircularList  
	# Define the accessor and reader of class CircularList  
	attr_reader :head, :rear
	attr_accessor :head, :rear
 
	
	def initialize() 
		self.head = nil
		self.rear = nil
	end

	#  Add node in circular linked list
	def addNode(data) 
		node = LinkNode.new(data)
		if (self.head == nil) 
			#  First node of linked list
			self.head = node
		else 
			#  Add new node at last position
			self.rear.next = node
		end

		#  Connect the first node to the last
		node.next = self.head
		#  Get new last node
		self.rear = node
	end

end

class JosephusCircle 
	#  Implement josephus circle in circular linked list
	def josephusPosition(size, n) 
		if (n <= 0) 
			return
		end

		if (n == 1) 
			#  Base case
			print(" Josephus Position ", size ," \n")
			return
		end

		cll = CircularList.new()
		i = 1
		#  Construct linked list
		while (i <= size) 
			cll.addNode(i)
			i += 1
		end

		#  Define some auxiliary variables
		auxiliary = cll.head
		back = cll.head
		counter = 0
		cll.head = nil
		cll.rear = nil
		#  Execute loop until when more than one node in linked list
		while (auxiliary.next != auxiliary) 
			#  Used to find n-th node
			counter = 1
			while (counter != n) 
				#  Get current node
				back = auxiliary
				#  Visit to next node
				auxiliary = auxiliary.next
				counter += 1
			end

			#  Segregating n-th position node
			back.next = auxiliary.next
			#  Visit to next node
			auxiliary = back.next
		end

		print("\n Size : ", size ," N : ", n ," \n")
		#  Display last remaining node
		print(" Josephus Position ", auxiliary.data ," \n")
		cll.head = auxiliary
		cll.rear = auxiliary
	end

end

def main() 
	task = JosephusCircle.new()
	#  Number of element in circle
	size = 10
	n = 4
	task.josephusPosition(size, n)
	n = 6
	task.josephusPosition(size, n)
end

main()

Output

 Size : 10 N : 4 
 Josephus Position 5 

 Size : 10 N : 6 
 Josephus Position 3 
/*
   Scala Program 
   Josephus circle using circular linked list
*/
// Linked list Node
class LinkNode(var data: Int , var next: LinkNode)
{
	def this(data: Int)
	{
		this(data, null);
	}
}
// Define Circular List
class CircularList(var head: LinkNode , var rear: LinkNode)
{
	def this()
	{
		this(null, null);
	}
	// Add node in circular linked list
	def addNode(data: Int): Unit = {
		var node: LinkNode = new LinkNode(data);
		if (this.head == null)
		{
			// First node of linked list
			this.head = node;
		}
		else
		{
			// Add new node at last position
			this.rear.next = node;
		}
		// Connect the first node to the last
		node.next = this.head;
		// Get new last node
		this.rear = node;
	}
}
class JosephusCircle
{
	// Implement josephus circle in circular linked list
	def josephusPosition(size: Int, n: Int): Unit = {
		if (n <= 0)
		{
			return;
		}
		if (n == 1)
		{
			// Base case
			print(" Josephus Position " + size + " \n");
			return;
		}
		var cll: CircularList = new CircularList();
		var i: Int = 1;
		// Construct linked list
		while (i <= size)
		{
			cll.addNode(i);
			i += 1;
		}
		// Define some auxiliary variables
		var auxiliary: LinkNode = cll.head;
		var back: LinkNode = cll.head;
		var counter: Int = 0;
		cll.head = null;
		cll.rear = null;
		// Execute loop until when more than one node in linked list
		while (auxiliary.next != auxiliary)
		{
			// Used to find n-th node
			counter = 1;
			while (counter != n)
			{
				// Get current node
				back = auxiliary;
				// Visit to next node
				auxiliary = auxiliary.next;
				counter += 1;
			}
			// Segregating n-th position node
			back.next = auxiliary.next;
			// Visit to next node
			auxiliary = back.next;
		}
		print("\n Size : " + size + " N : " + n + " \n");
		// Display last remaining node
		print(" Josephus Position " + auxiliary.data + " \n");
		cll.head = auxiliary;
		cll.rear = auxiliary;
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: JosephusCircle = new JosephusCircle();
		// Number of element in circle
		var size: Int = 10;
		var n: Int = 4;
		task.josephusPosition(size, n);
		n = 6;
		task.josephusPosition(size, n);
	}
}

Output

 Size : 10 N : 4
 Josephus Position 5

 Size : 10 N : 6
 Josephus Position 3
/*
   Kotlin Program 
   Josephus circle using circular linked list
*/
// Linked list Node
class LinkNode
{
	var data: Int;
	var next: LinkNode ? ;
	constructor(data: Int)
	{
		// Set node value
		this.data = data;
		this.next = null;
	}
}
// Define Circular List
class CircularList
{
	var head: LinkNode ? ;
	var rear: LinkNode ? ;
	constructor()
	{
		this.head = null;
		this.rear = null;
	}
	// Add node in circular linked list
	fun addNode(data: Int): Unit
	{
		var node: LinkNode ? = LinkNode(data);
		if (this.head == null)
		{
			// First node of linked list
			this.head = node;
		}
		else
		{
			// Add new node at last position
			this.rear?.next = node;
		}
		// Connect the first node to the last
		node?.next = this.head;
		// Get new last node
		this.rear = node;
	}
}
class JosephusCircle
{
	// Implement josephus circle in circular linked list
	fun josephusPosition(size: Int, n: Int): Unit
	{
		if (n <= 0)
		{
			return;
		}
		if (n == 1)
		{
			// Base case
			print(" Josephus Position " + size + " \n");
			return;
		}
		var cll: CircularList = CircularList();
		var i: Int = 1;
		// Construct linked list
		while (i <= size)
		{
			cll.addNode(i);
			i += 1;
		}
		// Define some auxiliary variables
		var auxiliary: LinkNode ? = cll.head;
		var back: LinkNode ? = cll.head;
		var counter: Int ;
		cll.head = null;
		cll.rear = null;
		// Execute loop until when more than one node in linked list
		while (auxiliary?.next != auxiliary)
		{
			// Used to find n-th node
			counter = 1;
			while (counter != n)
			{
				// Get current node
				back = auxiliary;
				// Visit to next node
				auxiliary = auxiliary?.next;
				counter += 1;
			}
			// Segregating n-th position node
			back?.next = auxiliary?.next;
			// Visit to next node
			auxiliary = back?.next;
		}
		print("\n Size : " + size + " N : " + n + " \n");
		// Display last remaining node
		print(" Josephus Position " + auxiliary!!.data + " \n");
		cll.head = auxiliary;
		cll.rear = auxiliary;
	}
}
fun main(args: Array < String > ): Unit
{
	var task: JosephusCircle = JosephusCircle();
	// Number of element in circle
	var size: Int = 10;
	var n: Int = 4;
	task.josephusPosition(size, n);
	n = 6;
	task.josephusPosition(size, n);
}

Output

 Size : 10 N : 4
 Josephus Position 5

 Size : 10 N : 6
 Josephus Position 3
/*
   Swift 4 Program 
   Josephus circle using circular linked list
*/
// Linked list Node
class LinkNode
{
	var data: Int;
	var next: LinkNode? ;
	init(_ data: Int)
	{
		// Set node value
		self.data = data;
		self.next = nil;
	}
}
// Define Circular List
class CircularList
{
	var head: LinkNode? ;
	var rear: LinkNode? ;
	init()
	{
		self.head = nil;
		self.rear = nil;
	}
	// Add node in circular linked list
	func addNode(_ data: Int)
	{
		let node: LinkNode? = LinkNode(data);
		if (self.head == nil)
		{
			// First node of linked list
			self.head = node;
		}
		else
		{
			// Add new node at last position
			self.rear!.next = node;
		}
		// Connect the first node to the last
		node!.next = self.head;
		// Get new last node
		self.rear = node;
	}
}
class JosephusCircle
{
	// Implement josephus circle in circular linked list
	func josephusPosition(_ size: Int, _ n: Int)
	{
		if (n <= 0)
		{
			return;
		}
		if (n == 1)
		{
			// Base case
			print(" Josephus Position ", size ," ");
			return;
		}
		let cll: CircularList = CircularList();
		var i: Int = 1;
		// Construct linked list
		while (i <= size)
		{
			cll.addNode(i);
			i += 1;
		}
		// Define some auxiliary variables
		var auxiliary: LinkNode? = cll.head;
		var back: LinkNode? = cll.head;
		var counter: Int = 0;
		cll.head = nil;
		cll.rear = nil;
		// Execute loop until when more than one node in linked list
		while (!(auxiliary!.next === auxiliary))
		{
			// Used to find n-th node
			counter = 1;
			while (counter  != n)
			{
				// Get current node
				back = auxiliary;
				// Visit to next node
				auxiliary = auxiliary!.next;
				counter += 1;
			}
			// Segregating n-th position node
			back!.next = auxiliary!.next;
			// Visit to next node
			auxiliary = back!.next;
		}
		print("\n Size : ", size ," N : ", n ," ");
		// Display last remaining node
		print(" Josephus Position ", auxiliary!.data ," ");
		cll.head = auxiliary;
		cll.rear = auxiliary;
	}
}
func main()
{
	let task: JosephusCircle = JosephusCircle();
	// Number of element in circle
	let size: Int = 10;
	var n: Int = 4;
	task.josephusPosition(size, n);
	n = 6;
	task.josephusPosition(size, n);
}
main();

Output

 Size :  10  N :  4
 Josephus Position  5

 Size :  10  N :  6
 Josephus Position  3


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