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Friday, October 18, 2024

Data Structure Dynamically Handling #3 by Md Farrukh Asif

 

Data Structure Dynamically handling #3

In this article, we will explore the topics for better understanding.

1.   Dynamic Data Structure

2.   Representation of Dynamic Data in Pictorial form

3.   Basic Operations

4.   Details and Code of the operations

 

A linked list is a sequence of data structures, which are connected together via links.

A Linked List is a sequence of links containing items. Each link contains a connection to another link. Linked lists are the second most-used data structure after arrays. The following are the important terms to understand the concept of Linked Lists.

·        Link − Each link of a linked list can store data called an element.

·        Next − Each link of a linked list contains a link to the next link called Next.

·        LinkedList − A Linked List contains the connection link to the first link called First.

Linked List Representation

A linked list can be visualized as a chain of nodes, where every node points to the next node.

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

·        Linked List contains a link element called first.

·        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.

·        Last link carries a link as null to mark the end of the list.

Types of Linked Lists

Following are the various types of linked list.

·        Simple Linked List − Item navigation is forward only.

·        Doubly Linked List − Items can be navigated forward and backward.

·        Circular Linked List − The last item contains link of the first element as next and the first element has a link to the last element as the previous.

Basic Operations

Following are the basic operations supported by a list.

·        Insertion − Adds an element at the beginning of the list.

·        Deletion − Deletes an element at the beginning of the list.

·        Display − Displays the complete list.

·        Search − Searches an element using the given key.

·        Delete − Deletes an element using the given key.

Insertion Operation

Adding a new node in the linked list is a more than one-step activity. We shall learn this with diagrams here. First, create a node using the same structure and find the location where it has to be inserted.

Imagine that we are inserting a node B (NewNode), between A (LeftNode) and C (RightNode). Then point B.next to C −

NewNode.next −> RightNode;

It should look like this −

Now, the next node at the left should point to the new node.

LeftNode.next −> NewNode;



This will put the new node in the middle of the two. The new list should look like this −

Similar steps should be taken if the node is being inserted at the beginning of the list. While inserting it at the end, the second last node of the list should point to the new node and the new node will point to NULL.

Deletion Operation

Deletion is also a more than one-step process. We shall learn with pictorial representation. First, locate the target node to be removed, by using searching algorithms.



The left (previous) node of the target node now should point to the next node of the target node −

LeftNode.next −> TargetNode.next;

This will remove the link that was pointing to the target node. Now, using the following code, we will remove what the target node is pointing at.

TargetNode.next −> NULL;

We need to use the deleted node. We can keep that in memory otherwise we can simply deallocate memory and wipe off the target node completely.

Reverse Operation

This operation is a thorough one. We need to make the last node to be pointed by the head node and reverse the whole linked list.

First, we traverse to the end of the list. It should be pointing to NULL. Now, we shall make it point to its previous node −

We have to make sure that the last node is not the last node. So we'll have some temp node, which looks like the head node pointing to the last node. Now, we shall make all left side nodes point to their previous nodes one by one.

Except for the node (first node) pointed by the head node, all nodes should point to their predecessor, making them their new successor. The first node will point to NULL.


We'll make the head node point to the new first node by using the temp node.

The linked list is now reversed. To see linked list implementation in C programming language,

 A doubly Linked List is a variation of a Linked list in which navigation is possible in both ways, either forward and backward easily as compared to a Single Linked List. The following are the important terms to understand the concept of a doubly linked list.

·        Link − Each link of a linked list can store data called an element.

·        Next − Each link of a linked list contains a link to the next link called Next.

·        Prev − Each link of a linked list contains a link to the previous link called Prev.

·        LinkedList − A Linked List contains the connection link to the first link called First and to the last link called Last.

Doubly Linked List Representation

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

·        Doubly Linked List contains a link element called first and last.

·        Each link carries a data field(s) and two link fields called next and prev.

·        Each link is linked with its next link using its next link.

·        Each link is linked with its previous link using its previous link.

·        The last link carries a link as null to mark the end of the list.

Basic Operations

Following are the basic operations supported by a list.

·        Insertion − Adds an element at the beginning of the list.

·        Deletion − Deletes an element at the beginning of the list.

·        Insert Last − Adds an element at the end of the list.

·        Delete Last − Deletes an element from the end of the list.

·        Insert After − Adds an element after an item of the list.

·        Delete − Deletes an element from the list using the key.

·        Display forward − Displays the complete list in a forward manner.

·        Display backward − Displays the complete list in a backward manner.

Insertion Operation

Following code demonstrates the insertion operation at the beginning of a doubly linked list.

Example

//insert link at the first location

void insertFirst(int key, int data) {

 

   //create a link

   struct node *link = (struct node*) malloc(sizeof(struct node));

   link->key = key;

   link->data = data;

   if(isEmpty()) {

      //make it the last link

      last = link;

   } else {

      //update first prev link

      head->prev = link;

   }

   //point it to old first link

   link->next = head;

   //point first to new first link

   head = link;

}

========

Deletion Operation

Following code demonstrates the deletion operation at the beginning of a doubly linked list.

Example

//delete first item

struct node* deleteFirst() {

   //save reference to first link

   struct node *tempLink = head;

   //if only one link

   if(head->next == NULL) {

      last = NULL;

   } else {

      head->next->prev = NULL;

   }

   head = head->next;

   //return the deleted link

   return tempLink;

}

========

Insertion at the End of an Operation

Following code demonstrates the insertion operation at the last position of a doubly linked list.

Example

//insert link at the last location

void insertLast(int key, int data) {

 

   //create a link

   struct node *link = (struct node*) malloc(sizeof(struct node));

   link->key = key;

   link->data = 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;

}

=========

Simple (Single Linked List)

 

Reverse Display

 

#include <stdio.h>

#include <stdlib.h>

struct node {

   int data;

   struct node *next;

};

struct node *head = NULL;

struct node *current = NULL;

//display the list

void printList() {

   struct node *ptr = head;

   printf("\n[head] =>");

   //start from the beginning

   while(ptr != NULL) {       

      printf(" %d =>",ptr->data);

      ptr = ptr->next;

   }

   printf(" [null]\n");

}

//insert link at the first location

void insert(int data) {

   //create a link

   struct node *link = (struct node*) malloc(sizeof(struct node));

   //link->key = key;

   link->data = data;

   //point it to old first node

   link->next = head;

   //point first to new first node

   head = link;

}

int main() {

   insert(10);

   insert(20);

   insert(30);

   insert(1);

   insert(40);

   insert(56);

 

   printList();

   return 0;

}

============

Output

Output of the program should be −

[head] => 56 => 40 => 1 => 30 => 20 => 10 => [null]

 

***

Removal of Linked List

 

#include <stdio.h>

#include <stdlib.h>

struct node {

   int data;

   struct node *next;

};

struct node *head = NULL;

struct node *current = NULL;

struct node *prev = NULL;

//Create Linked List

void insert(int data) {

   // Allocate memory for new node;

   struct node *link = (struct node*) malloc(sizeof(struct node));

   link->data = data;

   link->next = NULL;

   // If head is empty, create new list

   if(head==NULL) {

      head = link;

      return;

   }

   current = head;

   // move to the end of the list

   while(current->next!=NULL)

      current = current->next;

   // Insert link at the end of the list

   current->next = link;

}

void display() {

   struct node *ptr = head;

   printf("head] =>");

   //start from the beginning

   while(ptr != NULL) {       

      printf(" %d =>",ptr->data);

      ptr = ptr->next;

   }

   printf(" [null]\n");

}

void remove_data(int data) {

   int pos = 0;

   if(head==NULL) {

      printf("Linked List not initialized");

      return;

   }

  if(head->data == data) {

      if(head->next != NULL) {

         head = head->next;

         return;

      } else {

         head = NULL;

         printf("List is empty now");

         return;

      }

   } else if(head->data != data && head->next == NULL) {

      printf("%d not found in the list\n", data);

      return;

   }

   //prev = head;

   current = head;

   while(current->next != NULL && current->data != data) {

      prev = current;

      current = current->next;

   }       

 

   if(current->data == data) {

      prev->next = prev->next->next;

      free(current);

   } else

      printf("%d not found in the list.", data);

}

int main() {

   insert(10);

   insert(20);

   insert(30);

   insert(1);

   insert(40);

   insert(56);

   printf("Before Removal : ");

   display();

   remove_data(30);

   printf("After Removal  : ");

   display();

   return 0;

}

=========

Output

Output of the program should be −

Before Removal : [head] => 10 => 20 => 30 => 1 => 40 => 56 => [null]
After Removal  : [head] => 10 => 20 => 1 => 40 => 56 => [null]

 

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