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Clockwise rotation of Doubly Linked List by N places

  • Difficulty Level : Hard
  • Last Updated : 08 Jun, 2021

Given a doubly-linked list and an integer N, the task is to rotate the linked list clockwise by N nodes.
Examples: 
 

Input: N = 2 
 

Output: 
 

 

 

Approach: To rotate the Doubly linked list first check whether the given N is greater than the length of the list or not. If N is greater than the size of the list then deduce it in the range of linked list size by taking modulo with the length of the list. After that subtract the value of N from the length of the list. Now the problem reduces to the counter-clockwise rotation of a doubly-linked list by N places. 
 

  • Change the next of the last node to point the Head node. 
     
  • Change the prev of the Head node to point the last node. 
     
  • Change the value of the Head_ref to be the next of the Nth node. 
     
  • Change the value of next of the Nth Node to be NULL. 
     
  • Finally, make the prev of Head node to point to NULL. 
     

Below is the implementation of the above approach:
 

C++




// C++ program to rotate a Doubly linked
// list clock wise by N times
#include <bits/stdc++.h>
using namespace std;
 
/* Link list node */
struct Node {
    char data;
    struct Node* prev;
    struct Node* next;
};
 
// Utility function to find the size of
// Doubly Linked List
int size(struct Node* head_ref)
{
    struct Node* curr = head_ref;
    int sz = 0;
    while (curr != NULL) {
        curr = curr->next;
        sz++;
    }
    return sz;
}
 
/* Function to print linked list */
void printList(struct Node* node)
{
    while (node->next != NULL) {
        cout << node->data << " "
             << "<=>"
             << " ";
        node = node->next;
    }
    cout << node->data;
}
 
// Function to insert a node at the
// beginning of the Doubly Linked List
void push(struct Node** head_ref, int new_data)
{
    struct Node* new_node = new Node;
    new_node->data = new_data;
    new_node->prev = NULL;
    new_node->next = (*head_ref);
    if ((*head_ref) != NULL)
        (*head_ref)->prev = new_node;
    *head_ref = new_node;
}
 
// Function to rotate a doubly linked
// list clockwise and update the head
void rotate(struct Node** head_ref, int N, int sz)
{
 
    /* If N is greater than the size of Doubly
    Linked List, we have to deduce it in the range
    of Doubly linked list size by taking modulo with the
    length of the list.*/
    N = N % sz;
 
    /* We will update N by subtracting it's value length of
    the list. After this the question will reduce to
    counter clockwise rotation of linked list to N places*/
    N = sz - N;
 
    if (N == 0)
        return;
 
    struct Node* current = *head_ref;
 
    // current will either point to Nth
    // or NULL after this loop. Current
    // will point to node 'b' in the
    // above example
    int count = 1;
    while (count < N && current != NULL) {
        current = current->next;
        count++;
    }
 
    // If current is NULL, N is greater
    // than or equal to count of nodes
    // in linked list
    // Don't change the list in this case
    if (current == NULL)
        return;
 
    // current points to Nth node. Store
    // it in a variable. NthNode points to
    // node 'b' in the above example
    struct Node* NthNode = current;
 
    // current will point to last node
    // after this loop current will point
    // to node 'e' in the above example
    while (current->next != NULL)
        current = current->next;
 
    // Change next of last node to previous
    // head. Next of 'e' is now changed to
    // node 'a'
    current->next = *head_ref;
 
    // Change prev of Head node to current
    // Prev of 'a' is now changed to node 'e'
    (*head_ref)->prev = current;
 
    // Change head to (N+1)th node
    // head is now changed to node 'c'
    *head_ref = NthNode->next;
 
    // Change prev of New Head node to NULL
    // Because Prev of Head Node in Doubly
    // linked list is NULL
    (*head_ref)->prev = NULL;
 
    // Change next of Nth node to NULL
    // next of 'b' is now NULL
    NthNode->next = NULL;
}
 
// Driver code
int main(void)
{
    /* Start with the empty list */
    struct Node* head = NULL;
 
    /* Create the doubly linked
    list a<->b<->c<->d<->e */
    push(&head, 'e');
    push(&head, 'd');
    push(&head, 'c');
    push(&head, 'b');
    push(&head, 'a');
 
    int N = 2;
 
    // Length of the list
    int sz = size(head);
 
    cout << "Given Doubly linked list \n";
    printList(head);
    rotate(&head, N, sz);
 
    cout << "\nRotated Linked list clockwise \n";
    printList(head);
 
    return 0;
}

Java




// Java program to rotate a Doubly linked
// list clock wise by N times
class GFG
{
 
/* Link list node */
static class Node
{
    char data;
    Node prev;
    Node next;
};
 
// Utility function to find the size of
// Doubly Linked List
static int size(Node head_ref)
{
    Node curr = head_ref;
    int sz = 0;
    while (curr != null)
    {
        curr = curr.next;
        sz++;
    }
    return sz;
}
 
/* Function to print linked list */
static void printList(Node node)
{
    while (node.next != null)
    {
        System.out.print(
        node.data + " " + "<=>" + " ");
        node = node.next;
    }
    System.out.print(node.data);
}
 
// Function to insert a node at the
// beginning of the Doubly Linked List
static Node push(Node head_ref,
                 char new_data)
{
    Node new_node = new Node();
    new_node.data = new_data;
    new_node.prev = null;
    new_node.next = head_ref;
    if (head_ref != null)
        head_ref.prev = new_node;
    head_ref = new_node;
    return head_ref;
}
 
// Function to rotate a doubly linked
// list clockwise and update the head
static Node rotate(Node head_ref,
                   int N, int sz)
{
 
    /* If N is greater than the size of
    Doubly Linked List, we have to deduce it
    in the range of Doubly linked list size
    by taking modulo with the length of the list.*/
    N = N % sz;
 
    /* We will update N by subtracting
    it's value length of the list.
    After this the question will
    reduce to counter clockwise rotation
    of linked list to N places*/
    N = sz - N;
 
    if (N == 0)
        return null;
 
    Node current = head_ref;
 
    // current will either point to Nth
    // or null after this loop. Current
    // will point to node 'b' in the
    // above example
    int count = 1;
    while (count < N && current != null)
    {
        current = current.next;
        count++;
    }
 
    // If current is null, N is greater
    // than or equal to count of nodes
    // in linked list
    // Don't change the list in this case
    if (current == null)
        return null;
 
    // current points to Nth node. Store
    // it in a variable. NthNode points to
    // node 'b' in the above example
    Node NthNode = current;
 
    // current will point to last node
    // after this loop current will point
    // to node 'e' in the above example
    while (current.next != null)
        current = current.next;
 
    // Change next of last node to previous
    // head. Next of 'e' is now changed to
    // node 'a'
    current.next = head_ref;
 
    // Change prev of Head node to current
    // Prev of 'a' is now changed to node 'e'
    head_ref.prev = current;
 
    // Change head to (N+1)th node
    // head is now changed to node 'c'
    head_ref = NthNode.next;
 
    // Change prev of New Head node to null
    // Because Prev of Head Node in Doubly
    // linked list is null
    head_ref.prev = null;
 
    // Change next of Nth node to null
    // next of 'b' is now null
    NthNode.next = null;
    return head_ref;
}
 
// Driver code
public static void main(String []args)
{
    /* Start with the empty list */
    Node head = null;
 
    /* Create the doubly linked
    list a<->b<->c<->d<->e */
    head = push(head, 'e');
    head = push(head, 'd');
    head = push(head, 'c');
    head = push(head, 'b');
    head = push(head, 'a');
 
    int N = 2;
 
    // Length of the list
    int sz = size(head);
 
    System.out.println("Given Doubly linked list ");
    printList(head);
    head = rotate(head, N, sz);
 
    System.out.println("\nRotated Linked list clockwise ");
    printList(head);
}
}
 
// This code is contributed by 29AjayKumar

Python3




# Node of a doubly linked list
class Node:
    def __init__(self, next = None,
                    prev = None, data = None):
        self.next = next # reference to next node in DLL
        self.prev = prev # reference to previous node in DLL
        self.data = data
 
# Function to insert a node at the
# beginning of the Doubly Linked List
def push(head, new_data):
 
    new_node = Node(data = new_data)
 
    new_node.next = head
    new_node.prev = None
 
    if head is not None:
        head.prev = new_node
 
    head = new_node
    return head
 
# Utility function to find the size of
# Doubly Linked List
def size(head):
    node = head
    sz = 0
    while(node is not None):
        sz+= 1
        node = node.next
    return sz
 
# Function to print linked list
def printList(head):
 
    node = head
 
    print("Given linked list")
    while(node is not None):
        print(node.data, end = " "),
        last = node
        node = node.next
 
# Function to rotate a doubly linked
# list clockwise and update the head
def rotate(start, N):
    if N == 0 :
        return
 
    # Let us understand the below code
    # for example N = 2 and
    # list = a <-> b <-> c <-> d <-> e.
    current = start
 
    # current will either point to Nth
    # or None after this loop. Current
    # will point to node 'b' in the
    # above example
    count = 1
    while count < N and current != None :
        current = current.next
        count += 1
 
    # If current is None, N is greater
    # than or equal to count of nodes
    # in linked list. Don't change the
    # list in this case
    if current == None :
        return
 
    # current points to Nth node. Store
    # it in a variable. NthNode points to
    # node 'b' in the above example
    NthNode = current
 
    # current will point to last node
    # after this loop current will point
    # to node 'e' in the above example
    while current.next != None :
        current = current.next
 
    # Change next of last node to previous
    # head. Next of 'e' is now changed to
    # node 'a'
    current.next = start
 
    # Change prev of Head node to current
    # Prev of 'a' is now changed to node 'e'
    start.prev = current
 
    # Change head to (N + 1)th node
    # head is now changed to node 'c'
    start = NthNode.next
 
    # Change prev of New Head node to None
    # Because Prev of Head Node in Doubly
    # linked list is None
    start.prev = None
 
    # change next of Nth node to None
    # next of 'b' is now None
    NthNode.next = None
 
    return start
 
# Driver Code
if __name__ == "__main__":
    head = None
 
    head = push(head, 'e')
    head = push(head, 'd')
    head = push(head, 'c')
    head = push(head, 'b')
    head = push(head, 'a')
 
    printList(head)
    print("\n")
     
    N = 2
 
    # Length of the list
    sz = size(head)
 
    # If N is greater than the size of Doubly
    # Linked List, we have to deduce it in the range
    # of Doubly linked list size by taking modulo with the
    # length of the list.
    N = N % sz;
     
    # We will update N by subtracting it's value length of
    # the list. After this the question will reduce to
    # counter-clockwise rotation of linked list to N places
    N = sz-N;
     
    head = rotate(head, N)
 
    printList(head)

C#




// C# program to rotate a Doubly linked
// list clock wise by N times
using System;
     
class GFG
{
 
/* Link list node */
public class Node
{
    public char data;
    public Node prev;
    public Node next;
};
 
// Utility function to find the size of
// Doubly Linked List
static int size(Node head_ref)
{
    Node curr = head_ref;
    int sz = 0;
    while (curr != null)
    {
        curr = curr.next;
        sz++;
    }
    return sz;
}
 
/* Function to print linked list */
static void printList(Node node)
{
    while (node.next != null)
    {
        Console.Write(
        node.data + " " + "<=>" + " ");
        node = node.next;
    }
    Console.Write(node.data);
}
 
// Function to insert a node at the
// beginning of the Doubly Linked List
static Node push(Node head_ref,
                 char new_data)
{
    Node new_node = new Node();
    new_node.data = new_data;
    new_node.prev = null;
    new_node.next = head_ref;
    if (head_ref != null)
        head_ref.prev = new_node;
    head_ref = new_node;
    return head_ref;
}
 
// Function to rotate a doubly linked
// list clockwise and update the head
static Node rotate(Node head_ref,
                   int N, int sz)
{
 
    /* If N is greater than the size of
    Doubly Linked List, we have to deduce it
    in the range of Doubly linked list size
    by taking modulo with the length of the list.*/
    N = N % sz;
 
    /* We will update N by subtracting
    it's value length of the list.
    After this the question will
    reduce to counter clockwise rotation
    of linked list to N places*/
    N = sz - N;
 
    if (N == 0)
        return null;
 
    Node current = head_ref;
 
    // current will either point to Nth
    // or null after this loop. Current
    // will point to node 'b' in the
    // above example
    int count = 1;
    while (count < N && current != null)
    {
        current = current.next;
        count++;
    }
 
    // If current is null, N is greater
    // than or equal to count of nodes
    // in linked list
    // Don't change the list in this case
    if (current == null)
        return null;
 
    // current points to Nth node. Store
    // it in a variable. NthNode points to
    // node 'b' in the above example
    Node NthNode = current;
 
    // current will point to last node
    // after this loop current will point
    // to node 'e' in the above example
    while (current.next != null)
        current = current.next;
 
    // Change next of last node to previous
    // head. Next of 'e' is now changed to
    // node 'a'
    current.next = head_ref;
 
    // Change prev of Head node to current
    // Prev of 'a' is now changed to node 'e'
    head_ref.prev = current;
 
    // Change head to (N+1)th node
    // head is now changed to node 'c'
    head_ref = NthNode.next;
 
    // Change prev of New Head node to null
    // Because Prev of Head Node in Doubly
    // linked list is null
    head_ref.prev = null;
 
    // Change next of Nth node to null
    // next of 'b' is now null
    NthNode.next = null;
    return head_ref;
}
 
// Driver code
public static void Main(String []args)
{
    /* Start with the empty list */
    Node head = null;
 
    /* Create the doubly linked
    list a<->b<->c<->d<->e */
    head = push(head, 'e');
    head = push(head, 'd');
    head = push(head, 'c');
    head = push(head, 'b');
    head = push(head, 'a');
 
    int N = 2;
 
    // Length of the list
    int sz = size(head);
 
    Console.WriteLine("Given Doubly linked list ");
    printList(head);
    head = rotate(head, N, sz);
 
    Console.WriteLine("\nRotated Linked list clockwise ");
    printList(head);
}
}
 
// This code is contributed by Rajput-Ji

Javascript




<script>
 
// Javascript program to rotate a Doubly linked
// list clock wise by N times
 
/* Link list node */
class Node {
        constructor() {
                this.data = null;
                this.prev = null;
                this.next = null;
             }
        }
         
// Utility function to find the size of
// Doubly Linked List
function size( head_ref)
{
    var curr = head_ref;
    let sz = 0;
    while (curr != null)
    {
        curr = curr.next;
        sz++;
    }
    return sz;
}
 
/* Function to print linked list */
function printList( node)
{
    while (node.next != null)
    {
        document.write(
        node.data + " " + "<=>" + " ");
        node = node.next;
    }
    document.write(node.data);
}
 
// Function to insert a node at the
// beginning of the Doubly Linked List
function push( head_ref, new_data)
{
    var new_node = new Node();
    new_node.data = new_data;
    new_node.prev = null;
    new_node.next = head_ref;
    if (head_ref != null)
        head_ref.prev = new_node;
    head_ref = new_node;
    return head_ref;
}
 
// Function to rotate a doubly linked
// list clockwise and update the head
function rotate( head_ref, N, sz)
{
 
    /* If N is greater than the size of
    Doubly Linked List, we have to deduce it
    in the range of Doubly linked list size
    by taking modulo with the length of the list.*/
    N = N % sz;
 
    /* We will update N by subtracting
    it's value length of the list.
    After this the question will
    reduce to counter clockwise rotation
    of linked list to N places*/
    N = sz - N;
 
    if (N == 0)
        return null;
 
    var current = head_ref;
 
    // current will either point to Nth
    // or null after this loop. Current
    // will point to node 'b' in the
    // above example
    let count = 1;
    while (count < N && current != null)
    {
        current = current.next;
        count++;
    }
 
    // If current is null, N is greater
    // than or equal to count of nodes
    // in linked list
    // Don't change the list in this case
    if (current == null)
        return null;
 
    // current points to Nth node. Store
    // it in a variable. NthNode points to
    // node 'b' in the above example
    var NthNode = current;
 
    // current will point to last node
    // after this loop current will point
    // to node 'e' in the above example
    while (current.next != null)
        current = current.next;
 
    // Change next of last node to previous
    // head. Next of 'e' is now changed to
    // node 'a'
    current.next = head_ref;
 
    // Change prev of Head node to current
    // Prev of 'a' is now changed to node 'e'
    head_ref.prev = current;
 
    // Change head to (N+1)th node
    // head is now changed to node 'c'
    head_ref = NthNode.next;
 
    // Change prev of New Head node to null
    // Because Prev of Head Node in Doubly
    // linked list is null
    head_ref.prev = null;
 
    // Change next of Nth node to null
    // next of 'b' is now null
    NthNode.next = null;
    return head_ref;
}
 
 
// Driver Code
 
/* Start with the empty list */
var head = null;
 
/* Create the doubly linked
list a<->b<->c<->d<->e */
head = push(head, 'e');
head = push(head, 'd');
head = push(head, 'c');
head = push(head, 'b');
head = push(head, 'a');
 
let N = 2;
 
// Length of the list
let sz = size(head);
 
document.write("Given Doubly linked list ");
document.write("<br>");
printList(head);
head = rotate(head, N, sz);
 
document.write("</br>"+"Rotated Linked list clockwise ");
document.write("<br>");
printList(head);
     
</script>
Output: 
Given Doubly linked list 
a <=> b <=> c <=> d <=> e
Rotated Linked list clockwise 
d <=> e <=> a <=> b <=> c

 

Time Complexity: O(n) where n is the number of nodes in Linked List.
 


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