Problem Description: You are given a sorted doubly linked list. Your task is to implement a function removeDuplicates that removes all duplicate elements from the list, leaving only distinct elements. Input: Sorted Doubly Linked List: 1 <=> 2 <=> 2 <=> 3 <=> 4 <=> 4 <=> 4 <=> 5 Output: Doubly Linked List after Removing Duplicates: 1 <=>2 <=> 3 <=> 4 <=> 5 Explanation: The provided input is a sorted doubly linked list with some duplicate elements. The removeDuplicates function is applied to remove duplicate elements, leaving only distinct values in the list. The duplicates are removed as follows: The second occurrence of 2 is removed. Two of the three occurrences of 4 is removed. The resulting doubly linked list contains only distinct values in ascending order: 1 <=> 2 <=> 3 <=> 4 <=> 5

Managing linked lists efficiently is a major challenge in data structures and algorithms. Addressing a sorted doubly linked list with duplicate members is common. A method that modifies this structured dataset to produce a list with only different values while retaining order is the goal. This challenge is complex and requires traversing the linked list, locating and removing duplicates, and modifying pointers to seamlessly restructure the structure. A careful balance between precision and performance ensures that the algorithm produces an output that matches the original list without redundancy. As we explore doubly linked structures, developing this removal process requires a complex understanding of data items, their positional links, and the need to keep them sorted. This problem illustrates real-world programing issues and the importance of algorithmic innovation in optimizing time and space complexities. This project explores linked list manipulation, aiming a balance of precision and efficiency to decipher sorted doubly linked lists.1#include <iostream> 2 3class Node { 4public: 5 int data; 6 Node* prev; 7 Node* next; 8 9 Node(int value, Node* p = nullptr, Node* n = nullptr) 10 : data(value), prev(p), next(n) {} 11}; 12 13Node* removeDuplicates(Node* head) { 14 Node* current = head; 15 16 while (current != nullptr && current->next != nullptr) { 17 if (current->data == current->next->data) { 18 Node* nextUnique = current->next->next; 19 delete current->next; 20 current->next = nextUnique; 21 if (nextUnique != nullptr) { 22 nextUnique->prev = current; 23 } 24 } else { 25 current = current->next; 26 } 27 } 28 29 return head; 30} 31 32void printList(Node* head) { 33 Node* current = head; 34 while (current != nullptr) { 35 std::cout << current->data << " <=> "; 36 current = current->next; 37 } 38 std::cout << "nullptr" << std::endl; 39} 40 41int main() { 42 // Example usage: 43 // Create a sorted doubly linked list: 1 <=> 2 <=> 2 <=> 3 <=> 4 <=> 4 <=> 4 <=> 5 44 Node* head = new Node(1); 45 head->next = new Node(2, head); 46 head->next->next = new Node(2, head->next); 47 head->next->next->next = new Node(3, head->next->next); 48 head->next->next->next->next = new Node(4, head->next->next->next); 49 head->next->next->next->next->next = new Node(4, head->next->next->next->next); 50 head->next->next->next->next->next->next = new Node(4, head->next->next->next->next->next); 51 head->next->next->next->next->next->next->next = new Node(5, head->next->next->next->next->next->next); 52 53 std::cout << "Original Doubly Linked List:" << std::endl; 54 printList(head); 55 56 head = removeDuplicates(head); 57 58 std::cout << "\nDoubly Linked List after Removing Duplicates:" << std::endl; 59 printList(head); 60 61 // Clean up memory 62 Node* current = head; 63 while (current != nullptr) { 64 Node* next = current->next; 65 delete current; 66 current = next; 67 } 68 69 return 0; 70} 71Explanation:This C++ software removes duplicates from a sorted doubly linked list using a method that preserves the order. The program creates a `Node` class to represent the basic elements of a doubly linked list. Each node has an integer data value, a pointer to the previous node (`prev`), and a pointer to the next node...The basic algorithm, `removeDuplicates`, iterates across the doubly linked list to delete duplicates. The program uses a `while` loop to compare data from each node to its next node. The approach reconfigures pointers to bypass duplicate nodes, removing them from the list. Memory leaks are prevented by dynamic memory deallocation.Use the `printList` function to visualize the state of the doubly linked list at various stages, simplifying verification and comprehension. The program initializes a sorted doubly linked list with sample data to simulate duplicates. It prints the original list, applies `removeDuplicates`, and then prints the changed list. The output shows duplicates removed, leaving only distinct data in ascending order.To avoid memory leaks, the software must appropriately deallocate dynamically allocated memory for each node. The `main` function controls the process and demonstrates algorithm functionality on sample data. This program shows how to manipulate doubly linked lists in C++ and emphasizes algorithmic efficiency and memory management in real-world programming.Output:Original Doubly Linked List:1 <=> 2 <=> 2 <=> 3 <=> 4 <=> 4 <=> 4 <=> 5 <=> nullptrDoubly Linked List after Removing Duplicates:1 <=> 2 <=> 3 <=> 4 <=> 5 <=> nullptr