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Merge two sorted linked list without duplicates

Merge two sorted linked list of size n1 and n2. The duplicates in two linked list should be present only once in the final sorted linked list.

Examples:  

Input : list1: 1->1->4->5->7
list2: 2->4->7->9
Output : 1 2 4 5 7 9

Source: Microsoft on Campus Placement and Interview Questions

Approach: Following are the steps: 

  1. Merge the two sorted linked list in sorted manner. Refer recursive approach of this post. Let the final obtained list be head.
  2. Remove duplicates from sorted linked list head.

Implementation:




// C++ implementation to merge two sorted linked list
// without duplicates
#include <bits/stdc++.h>
 
using namespace std;
 
// structure of a node
struct Node {
    int data;
    Node* next;
};
 
// function to get a new node
Node* getNode(int data)
{
    // allocate space
    Node* temp = (Node*)malloc(sizeof(Node));
 
    // put in data
    temp->data = data;
    temp->next = NULL;
    return temp;
}
 
// function to merge two sorted linked list
// in a sorted manner
Node* sortedMerge(struct Node* a, struct Node* b)
{
    Node* result = NULL;
 
    /* Base cases */
    if (a == NULL)
        return (b);
    else if (b == NULL)
        return (a);
 
    /* Pick either a or b, and recur */
    if (a->data <= b->data) {
        result = a;
        result->next = sortedMerge(a->next, b);
    }
    else {
        result = b;
        result->next = sortedMerge(a, b->next);
    }
    return (result);
}
 
/* The function removes duplicates from a sorted list */
void removeDuplicates(Node* head)
{
    /* Pointer to traverse the linked list */
    Node* current = head;
 
    /* Pointer to store the next pointer of a node to be deleted*/
    Node* next_next;
 
    /* do nothing if the list is empty */
    if (current == NULL)
        return;
 
    /* Traverse the list till last node */
    while (current->next != NULL) {
 
        /* Compare current node with next node */
        if (current->data == current->next->data) {
 
            /* The sequence of steps is important*/
            next_next = current->next->next;
            free(current->next);
            current->next = next_next;
        }
        else /* This is tricky: only advance if no deletion */
        {
            current = current->next;
        }
    }
}
 
// function to merge two sorted linked list
// without duplicates
Node* sortedMergeWithoutDuplicates(Node* head1, Node* head2)
{
    // merge two linked list in sorted manner
    Node* head = sortedMerge(head1, head2);
 
    // remove duplicates from the list 'head'
    removeDuplicates(head);
 
    return head;
}
 
// function to print the linked list
void printList(Node* head)
{
    while (head != NULL) {
        cout << head->data << " ";
        head = head->next;
    }
}
 
// Driver program to test above
int main()
{
    // head1: 1->1->4->5->7
    Node* head1 = getNode(1);
    head1->next = getNode(1);
    head1->next->next = getNode(4);
    head1->next->next->next = getNode(5);
    head1->next->next->next->next = getNode(7);
 
    // head2: 2->4->7->9
    Node* head2 = getNode(2);
    head2->next = getNode(4);
    head2->next->next = getNode(7);
    head2->next->next->next = getNode(9);
 
    Node* head3;
 
    head3 = sortedMergeWithoutDuplicates(head1, head2);
 
    printList(head3);
 
    return 0;
}




// Java implementation to merge two sorted linked list
// without duplicates
import java.io.*;
 
class GFG {
 
    // structure of a node
    class Node {
        int data;
        Node next;
    }
 
    // function to get a new node
    public Node getNode(int data)
    {
        Node temp = new Node();
        temp.data = data;
        temp.next = null;
        return temp;
    }
 
    // function to merge two sorted linked list in a sorted
    // manner
    static Node sortedMerge(Node a, Node b)
    {
        Node result = null;
        /* Base cases */
        if (a == null) {
            return b;
        }
        else if (b == null) {
            return a;
        }
        /* Pick either a or b, and recur */
        if (a.data <= b.data) {
            result = a;
            result.next = sortedMerge(a.next, b);
        }
        else {
            result = b;
            result.next = sortedMerge(a, b.next);
        }
        return result;
    }
 
    /* The function removes duplicates from a sorted list */
    static void removeDuplicates(Node head)
    {
        /* Pointer to traverse the linked list */
        Node current = head;
       
        /* Pointer to store the next pointer of a node to be
         * deleted*/
        Node next_next;
 
        /* do nothing if the list is empty */
        if (current == null) {
            return;
        }
 
        /* Traverse the list till last node */
        while (current.next != null)
        {
           
            /* Compare current node with next node */
            if (current.data == current.next.data)
            {
               
                /* The sequence of steps is important*/
                next_next = current.next.next;
                current.next = next_next;
            }
            else { /* This is tricky: only advance if no
                      deletion */
                current = current.next;
            }
        }
    }
 
    // function to merge two sorted linked list without
    // duplicates
    public Node sortedMergeWithoutDuplicates(Node head1,
                                             Node head2)
    {
 
        // merge two linked list in sorted manner
        Node head = sortedMerge(head1, head2);
 
        // remove duplicates from the list 'head'
        removeDuplicates(head);
 
        return head;
    }
 
    // function to print the linked list
    public void printList(Node head)
    {
        while (head != null) {
            System.out.print(head.data + " ");
            head = head.next;
        }
    }
 
    public static void main(String[] args)
    {
 
        GFG l = new GFG();
 
        // head1 : 1->1->4->5->7
        Node head1 = l.getNode(1);
        head1.next = l.getNode(1);
        head1.next.next = l.getNode(4);
        head1.next.next.next = l.getNode(5);
        head1.next.next.next.next = l.getNode(7);
 
        // head2 : 2->4->7->9
        Node head2 = l.getNode(2);
        head2.next = l.getNode(4);
        head2.next.next = l.getNode(7);
        head2.next.next.next = l.getNode(9);
 
        Node head3;
 
        head3
            = l.sortedMergeWithoutDuplicates(head1, head2);
 
        l.printList(head3);
    }
}
 
// This code is contributed by lokeshmvs21.




# Python3 implementation to merge two
# sorted linked list without duplicates
  
# Structure of a node
class Node:
     
    def __init__(self, data):
         
        self.data = data
        self.next = None
  
# Function to get a new node
def getNode(data):
     
    # Allocate space
    temp = Node(data)
    return temp
 
# Function to merge two sorted linked
# list in a sorted manner
def sortedMerge(a, b):
     
    result = None
  
    # Base cases
    if (a == None):
        return(b)
    elif (b == None):
        return(a)
  
    # Pick either a or b, and recur
    if (a.data <= b.data):
        result = a
        result.next = sortedMerge(a.next, b)
    else:
        result = b
        result.next = sortedMerge(a, b.next)
 
    return(result)
     
# The function removes duplicates
# from a sorted list
def removeDuplicates(head):
 
    # Pointer to traverse the linked list
    current = head
  
    # Pointer to store the next pointer
    # of a node to be deleted
    next_next = None
  
    # Do nothing if the list is empty
    if (current == None):
        return
  
    # Traverse the list till last node
    while (current.next != None):
  
        # Compare current node with next node
        if (current.data == current.next.data):
  
            # The sequence of steps is important
            next_next = current.next.next
            del (current.next)
            current.next = next_next
        else:
             
            # This is tricky: only advance
            # if no deletion
            current = current.next
     
# Function to merge two sorted linked list
# without duplicates
def sortedMergeWithoutDuplicates(head1, head2):
 
    # Merge two linked list in sorted manner
    head = sortedMerge(head1, head2)
  
    # Remove duplicates from the list 'head'
    removeDuplicates(head)
  
    return head
 
# Function to print the linked list
def printList(head):
 
    while (head != None):
        print(head.data, end = ' ')   
        head = head.next
     
# Driver code
if __name__=='__main__':
     
    # head1: 1.1.4.5.7
    head1 = getNode(1)
    head1.next = getNode(1)
    head1.next.next = getNode(4)
    head1.next.next.next = getNode(5)
    head1.next.next.next.next = getNode(7)
  
    # head2: 2.4.7.9
    head2 = getNode(2)
    head2.next = getNode(4)
    head2.next.next = getNode(7)
    head2.next.next.next = getNode(9)
  
    head3 = sortedMergeWithoutDuplicates(
        head1, head2)
  
    printList(head3)
  
# This code is contributed by rutvik_56




// C# implementation to merge two sorted linked list
// without duplicates
using System;
public class GFG{
 
  // structure of a node
  class Node {
    public int data;
    public Node next;
  }
 
  // function to get a new node
  Node getNode(int data)
  {
    Node temp = new Node();
    temp.data = data;
    temp.next = null;
    return temp;
  }
 
  // function to merge two sorted linked list in a sorted
  // manner
  static Node sortedMerge(Node a, Node b)
  {
    Node result = null;
    /* Base cases */
    if (a == null) {
      return b;
    }
    else if (b == null) {
      return a;
    }
    /* Pick either a or b, and recur */
    if (a.data <= b.data) {
      result = a;
      result.next = sortedMerge(a.next, b);
    }
    else {
      result = b;
      result.next = sortedMerge(a, b.next);
    }
    return result;
  }
 
  /* The function removes duplicates from a sorted list */
  static void removeDuplicates(Node head)
  {
    /* Pointer to traverse the linked list */
    Node current = head;
 
    /* Pointer to store the next pointer of a node to be
         * deleted*/
    Node next_next;
 
    /* do nothing if the list is empty */
    if (current == null) {
      return;
    }
 
    /* Traverse the list till last node */
    while (current.next != null)
    {
 
      /* Compare current node with next node */
      if (current.data == current.next.data)
      {
 
        /* The sequence of steps is important*/
        next_next = current.next.next;
        current.next = next_next;
      }
      else { /* This is tricky: only advance if no
                      deletion */
        current = current.next;
      }
    }
  }
 
  // function to merge two sorted linked list without
  // duplicates
  Node sortedMergeWithoutDuplicates(Node head1,
                                    Node head2)
  {
 
    // merge two linked list in sorted manner
    Node head = sortedMerge(head1, head2);
 
    // remove duplicates from the list 'head'
    removeDuplicates(head);
 
    return head;
  }
 
  // function to print the linked list
  void printList(Node head)
  {
    while (head != null) {
      Console.Write(head.data + " ");
      head = head.next;
    }
  }
 
  static public void Main (){
 
    GFG l = new GFG();
 
    // head1 : 1->1->4->5->7
    Node head1 = l.getNode(1);
    head1.next = l.getNode(1);
    head1.next.next = l.getNode(4);
    head1.next.next.next = l.getNode(5);
    head1.next.next.next.next = l.getNode(7);
 
    // head2 : 2->4->7->9
    Node head2 = l.getNode(2);
    head2.next = l.getNode(4);
    head2.next.next = l.getNode(7);
    head2.next.next.next = l.getNode(9);
 
    Node head3;
 
    head3
      = l.sortedMergeWithoutDuplicates(head1, head2);
 
    l.printList(head3);
  }
}
 
// This code is contributed by lokeshmvs21.




// JavaScript implementation to merge two sorted linked list
// without duplicates
 
// structure to get a new node
class Node{
    constructor(data){
        this.data = data;
        this.next = null;
    }
}
 
// function to get a new node
function getNode(data){
    // allocate space and put data
    let temp = new Node(data);
    return temp;
}
 
// function to merge two sorted linked list
// in a sorted manner
function sortedMerge(a, b){
    let result = null;
     
    // base case
    if(a == null)
        return b;
    else if(b == null)
        return a;
         
    // Pick either a or b, and recur
    if (a.data <= b.data) {
        result = a;
        result.next = sortedMerge(a.next, b);
    }
    else {
        result = b;
        result.next = sortedMerge(a, b.next);
    }
    return result;
}
 
// The function removes duplicates from a sorted list
function removeDuplicates(head){
    // Pointer to traverse the linked list
    let current = head;
  
    // Pointer to store the next pointer of a node to be deleted
    let next_next;
  
    // do nothing if the list is empty
    if (current == null)
        return;
  
    // Traverse the list till last node
    while (current.next != null) {
  
        // Compare current node with next node
        if (current.data == current.next.data) {
  
            // The sequence of steps is important
            next_next = current.next.next;
            current.next = next_next;
        }
        else // This is tricky: only advance if no deletion
        {
            current = current.next;
        }
    }
}
 
// function to merge two sorted linked list
// without duplicates
function sortedMergeWithoutDuplicates(head1, head2){
    // merge two linked list in sorted manner
    let head = sortedMerge(head1, head2);
  
    // remove duplicates from the list 'head'
    removeDuplicates(head);
  
    return head;
}
 
// function to print the linked list
function printList(head)
{
    while (head != null) {
        console.log(head.data + " ");
        head = head.next;
    }
}
 
// Driver program to test above
 
// head1: 1->1->4->5->7
let head1 = getNode(1);
head1.next = getNode(1);
head1.next.next = getNode(4);
head1.next.next.next = getNode(5);
head1.next.next.next.next = getNode(7);
 
// head2: 2->4->7->9
let head2 = getNode(2);
head2.next = getNode(4);
head2.next.next = getNode(7);
head2.next.next.next = getNode(9);
 
let head3 = sortedMergeWithoutDuplicates(head1, head2);
printList(head3);
 
// This code is contributed by Yash Agarwal(yashagawral2852002)

Output
1 2 4 5 7 9 








Complexity Analysis:

Approach: This approach uses an iterative approach to merge two sorted linked lists without duplicates.

Steps:

Below is the implementation of the above approach:




//C++ code for the above approach
#include <bits/stdc++.h>
using namespace std;
 
struct Node {
    int data;
    Node* next;
};
 
Node* getNode(int data)
{
    Node* temp = new Node;
    temp->data = data;
    temp->next = NULL;
    return temp;
}
 
Node* sortedMergeWithoutDuplicates(Node* head1, Node* head2)
{
    // Create a dummy node to simplify merging
    Node* dummy = new Node;
    Node* tail = dummy;
 
    // Merge the two sorted linked lists
    while (head1 != NULL && head2 != NULL) {
        if (head1->data < head2->data) {
            // Append the smaller node to the merged list
            tail->next = head1;
            head1 = head1->next;
        }
        else if (head1->data > head2->data) {
            // Append the smaller node to the merged list
            tail->next = head2;
            head2 = head2->next;
        }
        else {
            // If both nodes have the same value, append only one of them to avoid duplicates
            tail->next = head1;
            head1 = head1->next;
            head2 = head2->next;
        }
        tail = tail->next;
        tail->next = NULL; // Mark the end of the merged list
    }
 
    // If any elements left in either of the lists, add them to the merged list
    if (head1 != NULL) {
        tail->next = head1;
    }
    if (head2 != NULL) {
        tail->next = head2;
    }
 
    // Remove duplicates from the merged list
    Node* current = dummy->next;
    while (current != NULL && current->next != NULL) {
        if (current->data == current->next->data) {
            // Remove the duplicate node from the merged list
            Node* temp = current->next;
            current->next = current->next->next;
            delete temp; // Free the memory of the duplicate node
        }
        else {
            // Move to the next node
            current = current->next;
        }
    }
 
    Node* result = dummy->next;
    delete dummy; // Free the memory of the dummy node
    return result;
}
 
void printList(Node* head)
{
    // Traverse the linked list and print its elements
    while (head != NULL) {
        cout << head->data << " ";
        head = head->next;
    }
    cout << endl;
}
 
int main()
{
    // Create two sorted linked lists
    Node* head1 = getNode(1);
    head1->next = getNode(1);
    head1->next->next = getNode(4);
    head1->next->next->next = getNode(5);
    head1->next->next->next->next = getNode(7);
 
    Node* head2 = getNode(2);
    head2->next = getNode(4);
    head2->next->next = getNode(7);
    head2->next->next->next = getNode(9);
 
    // Merge the two lists without duplicates and print the result
    Node* head3 = sortedMergeWithoutDuplicates(head1, head2);
    printList(head3);
 
    return 0;
}




public class Main {
 
    // Node class to represent a node in the linked list
    static class Node {
        int data;
        Node next;
 
        Node(int data) {
            this.data = data;
            this.next = null;
        }
    }
 
    // Function to merge two sorted linked lists without duplicates
    static Node sortedMergeWithoutDuplicates(Node head1, Node head2) {
        // Create a dummy node to simplify merging
        Node dummy = new Node(-1);
        Node tail = dummy;
 
        // Merge the two sorted linked lists
        while (head1 != null && head2 != null) {
            if (head1.data < head2.data) {
                // Append the smaller node to the merged list
                tail.next = head1;
                head1 = head1.next;
            } else if (head1.data > head2.data) {
                // Append the smaller node to the merged list
                tail.next = head2;
                head2 = head2.next;
            } else {
                // If both nodes have the same value,
                // append only one of them to avoid duplicates
                tail.next = head1;
                head1 = head1.next;
                head2 = head2.next;
            }
            tail = tail.next;
            tail.next = null; // Mark the end of the merged list
        }
 
        // If any elements left in either of the lists, add them to the merged list
        if (head1 != null) {
            tail.next = head1;
        }
        if (head2 != null) {
            tail.next = head2;
        }
 
        // Remove duplicates from the merged list
        Node current = dummy.next;
        while (current != null && current.next != null) {
            if (current.data == current.next.data) {
                // Remove the duplicate node from the merged list
                Node temp = current.next;
                current.next = current.next.next;
                temp = null; // Free the memory of the duplicate node
            } else {
                // Move to the next node
                current = current.next;
            }
        }
 
        return dummy.next;
    }
 
    // Function to print a linked list
    static void printList(Node head) {
        // Traverse the linked list and print its elements
        while (head != null) {
            System.out.print(head.data + " ");
            head = head.next;
        }
        System.out.println();
    }
 
    public static void main(String[] args) {
        // Create two sorted linked lists
        Node head1 = new Node(1);
        head1.next = new Node(1);
        head1.next.next = new Node(4);
        head1.next.next.next = new Node(5);
        head1.next.next.next.next = new Node(7);
 
        Node head2 = new Node(2);
        head2.next = new Node(4);
        head2.next.next = new Node(7);
        head2.next.next.next = new Node(9);
 
        // Merge the two lists without duplicates and print the result
        Node head3 = sortedMergeWithoutDuplicates(head1, head2);
        printList(head3);
    }
}
// This code is contributed by rambabuguphka




class Node:
    def __init__(self, data):
        self.data = data
        self.next = None
 
def sortedMergeWithoutDuplicates(head1, head2):
    dummy = Node(0)
    tail = dummy
 
    while head1 is not None and head2 is not None:
        if head1.data < head2.data:
            tail.next = head1
            head1 = head1.next
        elif head1.data > head2.data:
            tail.next = head2
            head2 = head2.next
        else:
            # Skip duplicates
            head1 = head1.next
            head2 = head2.next
        tail = tail.next
 
    if head1 is not None:
        tail.next = head1
    if head2 is not None:
        tail.next = head2
 
    current = dummy.next
    while current is not None and current.next is not None:
        if current.data == current.next.data:
            temp = current.next
            current.next = current.next.next
            del temp
        else:
            current = current.next
 
    result = dummy.next
    return result
 
def printList(head):
    while head is not None:
        print(head.data, end=" ")
        head = head.next
    print()
 
if __name__ == "__main__":
    # Create two sorted linked lists
    head1 = Node(1)
    head1.next = Node(1)
    head1.next.next = Node(4)
    head1.next.next.next = Node(5)
    head1.next.next.next.next = Node(7)
 
    head2 = Node(2)
    head2.next = Node(4)
    head2.next.next = Node(7)
    head2.next.next.next = Node(9)
 
    # Merge the two lists without duplicates and print the result
    head3 = sortedMergeWithoutDuplicates(head1, head2)
    printList(head3)




// C# code for the above approach
using System;
 
public class Node {
    public int data;
    public Node next;
}
 
public class GFG {
    // Function to create a new node
    static Node GetNode(int data)
    {
        Node temp = new Node();
        temp.data = data;
        temp.next = null;
        return temp;
    }
 
    // Function to merge two sorted linked lists without
    // duplicates
    static Node SortedMergeWithoutDuplicates(Node head1,
                                             Node head2)
    {
        // Create a dummy node to simplify merging
        Node dummy = new Node();
        Node tail = dummy;
 
        // Merge the two sorted linked lists
        while (head1 != null && head2 != null) {
            if (head1.data < head2.data) {
                // Append the smaller node to the merged
                // list
                tail.next = head1;
                head1 = head1.next;
            }
            else if (head1.data > head2.data) {
                // Append the smaller node to the merged
                // list
                tail.next = head2;
                head2 = head2.next;
            }
            else {
                // If both nodes have the same value, append
                // only one of them to avoid duplicates
                tail.next = head1;
                head1 = head1.next;
                head2 = head2.next;
            }
            tail = tail.next;
            tail.next
                = null; // Mark the end of the merged list
        }
 
        // If any elements left in either of the lists, add
        // them to the merged list
        if (head1 != null) {
            tail.next = head1;
        }
        if (head2 != null) {
            tail.next = head2;
        }
 
        // Remove duplicates from the merged list
        Node current = dummy.next;
        while (current != null && current.next != null) {
            if (current.data == current.next.data) {
                // Remove the duplicate node from the merged
                // list
                _ = current.next;
                current.next = current.next.next;
                // Free the memory of the duplicate node
                _ = null;
            }
            else {
                // Move to the next node
                current = current.next;
            }
        }
 
        Node result = dummy.next;
        // Free the memory of the dummy node
        dummy = null;
        return result;
    }
 
    // Function to print the linked list
    static void PrintList(Node head)
    {
        // Traverse the linked list and print its elements
        while (head != null) {
            Console.Write(head.data + " ");
            head = head.next;
        }
        Console.WriteLine();
    }
 
    // Main method
    public static void Main(string[] args)
    {
        // Create two sorted linked lists
        Node head1 = GetNode(1);
        head1.next = GetNode(1);
        head1.next.next = GetNode(4);
        head1.next.next.next = GetNode(5);
        head1.next.next.next.next = GetNode(7);
 
        Node head2 = GetNode(2);
        head2.next = GetNode(4);
        head2.next.next = GetNode(7);
        head2.next.next.next = GetNode(9);
 
        // Merge the two lists without duplicates and print
        // the result
        Node head3
            = SortedMergeWithoutDuplicates(head1, head2);
        PrintList(head3);
    }
}
 
// This code is contributed by Susobhan Akhuli




<script>
// JavaScript code for the above approach
 
// Definition of the Node structure
class Node {
    constructor(data) {
        this.data = data;
        this.next = null;
    }
}
 
// Function to get a new Node with the given data
function getNode(data) {
    let temp = new Node(data);
    return temp;
}
 
// Function to merge two sorted linked lists without duplicates
function sortedMergeWithoutDuplicates(head1, head2) {
    // Create a dummy node to simplify merging
    let dummy = new Node();
    let tail = dummy;
 
    // Merge the two sorted linked lists
    while (head1 !== null && head2 !== null) {
        if (head1.data < head2.data) {
            // Append the smaller node to the merged list
            tail.next = head1;
            head1 = head1.next;
        } else if (head1.data > head2.data) {
            // Append the smaller node to the merged list
            tail.next = head2;
            head2 = head2.next;
        } else {
            // If both nodes have the same value, append only one of them to avoid duplicates
            tail.next = head1;
            head1 = head1.next;
            head2 = head2.next;
        }
        tail = tail.next;
        tail.next = null; // Mark the end of the merged list
    }
 
    // If any elements left in either of the lists, add them to the merged list
    if (head1 !== null) {
        tail.next = head1;
    }
    if (head2 !== null) {
        tail.next = head2;
    }
 
    // Remove duplicates from the merged list
    let current = dummy.next;
    while (current !== null && current.next !== null) {
        if (current.data == current.next.data) {
            // Remove the duplicate node from the merged list
            let temp = current.next;
            current.next = current.next.next;
            temp = null; // Free the memory of the duplicate node
        } else {
            // Move to the next node
            current = current.next;
        }
    }
 
    let result = dummy.next;
    dummy = null; // Free the memory of the dummy node
    return result;
}
 
// Function to print the linked list
function printList(head) {
    // Traverse the linked list and print its elements
    while (head !== null) {
        document.write(head.data + " ");
        head = head.next;
    }
}
 
// Create two sorted linked lists
let head1 = getNode(1);
head1.next = getNode(1);
head1.next.next = getNode(4);
head1.next.next.next = getNode(5);
head1.next.next.next.next = getNode(7);
 
let head2 = getNode(2);
head2.next = getNode(4);
head2.next.next = getNode(7);
head2.next.next.next = getNode(9);
 
// Merge the two lists without duplicates and print the result
let head3 = sortedMergeWithoutDuplicates(head1, head2);
printList(head3);
 
// This code is contributed by Susobhan Akhuli
</script>

Output
1 2 4 5 7 9 




Time Complexity: O(M + N), Where M and N are the size of the list1 and list2 respectively.
Auxiliary Space: O(M+N), Function call stack space

Exercise: Get the final sorted linked list without duplicates in a single traversal of the two lists.


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