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Doubly Linked List

Doubly Linked List Basics

Doubly Linked List is a variation of Linked list in which navigation is possible in both ways either forward and backward easily as compared to Single Linked List. Following are important terms to understand the concepts of doubly Linked List

  • Link − Each Link of a linked list can store a data called an element.
  • Next − Each Link of a linked list contain a link to next link called Next.
  • Prev − Each Link of a linked list contain a link to previous link called Prev.
  • LinkedList − A LinkedList contains the connection link to the first Link called First and to the last link called Last.

Doubly Linked List Representation

Doubly Linked List

As per above shown illustration, following are the important points to be considered.

  • Doubly LinkedList contains an link element called first and last.
  • Each Link carries a data field(s) and a Link Field called next.
  • Each Link is linked with its next link using its next link.
  • Each Link is linked with its previous link using its prev link.
  • Last Link carries a Link as null to mark the end of the list.

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Basic Operations

Following are the basic operations supported by an list.

  • Insertion − add an element at the beginning of the list.
  • Deletion − delete an element at the beginning of the list.
  • Insert Last − add an element in the end of the list.
  • Delete Last − delete an element from the end of the list.
  • Insert After − add an element after an item of the list.
  • Delete − delete an element from the list using key.
  • Display forward − displaying complete list in forward manner.
  • Display backward − displaying complete list in backward manner.

Insertion Operation

Following code demonstrate insertion operation at beginning in a doubly linked list.

//insert link at the first location
public void insertFirst(int key, int data){
   //create a link
   Link link = new Link(key,data);

   if(isEmpty()){
  //make it the last link
  last = link;
}else {
  //update first prev link
  first.prev = link;
} //point it to old first link link.next = first; //point first to new first link first = link; }

Deletion Operation

Following code demonstrate deletion operation at beginning in a doubly linked list.

//delete link at the first location
public Link deleteFirst(){
   //save reference to first link
   Link tempLink = first;
   //if only one link
   if(first.next == null){
  last = null;
}else {
  first.next.prev = null;
} first = first.next; //return the deleted link return tempLink; }

Insertion at End Operation

Following code demonstrate insertion operation at last position in a doubly linked list.

//insert link at the last location
public void insertLast(int key, int data){
   //create a link
   Link link = new Link(key,data);

   if(isEmpty()){
  //make it the last link
  last = link;
}else {
  //make link a new last link
  last.next = link;     
  //mark old last node as prev of new link
  link.prev = last;
} //point last to new last node last = link; }

Demo

Link.java

package com.tutorialspoint.list;

public class Link {
   public int key;
   public int data;
   public Link next;
   public Link prev;

   public Link(int key, int data){
  this.key = key;
  this.data = data;
} public void display(){
  System.out.print("{"+key+","+data+"}");
} }

DoublyLinkedList.java

package com.tutorialspoint.list;

public class DoublyLinkedList {
   
   //this link always point to first Link 
   private Link first;
   //this link always point to last Link 
   private Link last;

   // create an empty linked list 
   public DoublyLinkedList(){
  first = null;
  last = null;
} //is list empty public boolean isEmpty(){
  return first == null;
} //insert link at the first location public void insertFirst(int key, int data){
  //create a link
  Link link = new Link(key,data);
  if(isEmpty()){
     //make it the last link
     last = link;
  }else {
     //update first prev link
     first.prev = link;
  }
  //point it to old first link
  link.next = first;
  //point first to new first link
  first = link;
} //insert link at the last location public void insertLast(int key, int data){
  //create a link
  Link link = new Link(key,data);
  if(isEmpty()){
     //make it the last link
     last = link;
  }else {
     //make link a new last link
     last.next = link;     
     //mark old last node as prev of new link
     link.prev = last;
  }
  //point last to new last node
  last = link;
} //delete link at the first location public Link deleteFirst(){
  //save reference to first link
  Link tempLink = first;
  //if only one link
  if(first.next == null){
     last = null;
  }else {
     first.next.prev = null;
  }
  first = first.next;
  //return the deleted link
  return tempLink;
} //delete link at the last location public Link deleteLast(){
  //save reference to last link
  Link tempLink = last;
  //if only one link
  if(first.next == null){
     first = null;
  }else {
     last.prev.next = null;
  }
  last = last.prev;
  //return the deleted link
  return tempLink;
} //display the list in from first to last public void displayForward(){
  //start from the beginning
  Link current = first;
  //navigate till the end of the list
  System.out.print("[ ");
  while(current != null){
     //print data
     current.display();
     //move to next item
     current = current.next;
     System.out.print(" ");
  }      
  System.out.print(" ]");
} //display the list from last to first public void displayBackward(){
  //start from the last
  Link current = last;
  //navigate till the start of the list
  System.out.print("[ ");
  while(current != null){
     //print data
     current.display();
     //move to next item
     current = current.prev;
     System.out.print(" ");
  }
  System.out.print(" ]");
} //delete a link with given key public Link delete(int key){
  //start from the first link
  Link current = first;      
  //if list is empty
  if(first == null){
     return null;
  }
  //navigate through list
  while(current.key != key){
  //if it is last node
  if(current.next == null){
        return null;
     }else{           
        //move to next link
        current = current.next;             
     }
  }
  //found a match, update the link
  if(current == first) {
     //change first to point to next link
        first = current.next;
     }else {
        //bypass the current link
        current.prev.next = current.next;
     }    
     if(current == last){
        //change last to point to prev link
        last = current.prev;
     }else {
        current.next.prev = current.prev;
     }
     return current;
  }
public boolean insertAfter(int key, int newKey, int data){
  //start from the first link
  Link current = first;      
  //if list is empty
  if(first == null){
     return false;
  }
  //navigate through list
  while(current.key != key){
     //if it is last node
     if(current.next == null){
        return false;
     }else{           
        //move to next link
        current = current.next;             
     }
  }
  Link newLink = new Link(newKey,data); 
  if(current==last) {
     newLink.next = null; 
     last = newLink; 
  }
  else {
     newLink.next = current.next;         
     current.next.prev = newLink;
  }
  newLink.prev = current; 
  current.next = newLink; 
  return true; 
} }

DoublyLinkedListDemo.java

package com.tutorialspoint.list;

public class DoublyLinkedListDemo {
public static void main(String args[]){
    DoublyLinkedList list = new DoublyLinkedList();
    
    list.insertFirst(1, 10);
    list.insertFirst(2, 20);
    list.insertFirst(3, 30);
    
    list.insertLast(4, 1);
    list.insertLast(5, 40);
    list.insertLast(6, 56);
   
    System.out.print("\nList (First to Last): ");  
    list.displayForward();
    System.out.println("");
    System.out.print("\nList (Last to first): "); 
    list.displayBackward();
    
    System.out.print("\nList , after deleting first record: ");
    list.deleteFirst();        
    list.displayForward();
    
    System.out.print("\nList , after deleting last record: ");  
    list.deleteLast();
    list.displayForward();
    
    System.out.print("\nList , insert after key(4) : ");  
    list.insertAfter(4,7, 13);
    list.displayForward();
    
    System.out.print("\nList  , after delete key(4) : ");  
    list.delete(4);
    list.displayForward();
    
}
}

If we compile and run the above program then it would produce following result −

List (First to Last): [ {3,30} {2,20} {1,10} {4,1} {5,40} {6,56}  ]

List (Last to first): [ {6,56} {5,40} {4,1} {1,10} {2,20} {3,30}  ]
List (First to Last) after deleting first record: [ {2,20} {1,10} {4,1} {5,40} {6,56}  ]
List  (First to Last) after deleting last record: [ {2,20} {1,10} {4,1} {5,40}  ]
List  (First to Last) insert after key(4) : [ {2,20} {1,10} {4,1} {7,13} {5,40}  ]
List  (First to Last) after delete key(4) : [ {2,20} {1,10} {7,13} {5,40}  ]
Doubly Linked List

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