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Delete a given node in Linked List under given constraints

Last Updated : 10 Jan, 2023
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Given a Singly Linked List, write a function to delete a given node. Your function must follow following constraints: 
1) It must accept a pointer to the start node as the first parameter and node to be deleted as the second parameter i.e., a pointer to head node is not global. 
2) It should not return a pointer to the head node. 
3) It should not accept pointer to pointer to the head node.
You may assume that the Linked List never becomes empty.
Let the function name be deleteNode(). In a straightforward implementation, the function needs to modify the head pointer when the node to be deleted is the first node. As discussed in previous post, when a function modifies the head pointer, the function must use one of the given approaches, we can't use any of those approaches here. 
Solution 
We explicitly handle the case when the node to be deleted is the first node, we copy the data of the next node to the head and delete the next node. The cases when a deleted node is not the head node can be handled normally by finding the previous node and changing the next of the previous node. The following are the implementation. 
 

C++
// C++ program to delete a given node
// in linked list under given constraints
#include <bits/stdc++.h>
using namespace std;

/* structure of a linked list node */
class Node 
{ 
    public:
    int data; 
    Node *next; 
}; 

void deleteNode(Node *head, Node *n) 
{ 
    // When node to be deleted is head node 
    if(head == n) 
    { 
        if(head->next == NULL) 
        { 
            cout << "There is only one node." <<
                    " The list can't be made empty "; 
            return; 
        } 

        /* Copy the data of next node to head */
        head->data = head->next->data; 

        // store address of next node 
        n = head->next; 

        // Remove the link of next node 
        head->next = head->next->next; 

        // free memory 
        free(n); 

        return; 
    } 


    // When not first node, follow 
    // the normal deletion process 

    // find the previous node 
    Node *prev = head; 
    while(prev->next != NULL && prev->next != n) 
        prev = prev->next; 

    // Check if node really exists in Linked List 
    if(prev->next == NULL) 
    { 
        cout << "\nGiven node is not present in Linked List"; 
        return; 
    } 

    // Remove node from Linked List 
    prev->next = prev->next->next; 

    // Free memory 
    free(n); 

    return; 
} 

/* Utility function to insert a node at the beginning */
void push(Node **head_ref, int new_data) 
{ 
    Node *new_node = new Node();
    new_node->data = new_data; 
    new_node->next = *head_ref; 
    *head_ref = new_node; 
} 

/* Utility function to print a linked list */
void printList(Node *head) 
{ 
    while(head!=NULL) 
    { 
        cout<<head->data<<" "; 
        head=head->next; 
    } 
    cout<<endl;
} 

/* Driver code */
int main() 
{ 
    Node *head = NULL; 

    /* Create following linked list 
    12->15->10->11->5->6->2->3 */
    push(&head,3); 
    push(&head,2); 
    push(&head,6); 
    push(&head,5); 
    push(&head,11); 
    push(&head,10); 
    push(&head,15); 
    push(&head,12); 

    cout<<"Given Linked List: "; 
    printList(head); 

    /* Let us delete the node with value 10 */
    cout<<"\nDeleting node "<< head->next->next->data<<" "; 
    deleteNode(head, head->next->next); 

    cout<<"\nModified Linked List: "; 
    printList(head); 

    /* Let us delete the first node */
    cout<<"\nDeleting first node "; 
    deleteNode(head, head); 

    cout<<"\nModified Linked List: "; 
    printList(head); 
    return 0; 
} 

// This code is contributed by rathbhupendra
C Python 3 Java C# JavaScript

Output: 
 

Given Linked List: 12 15 10 11 5 6 2 3

Deleting node 10:
Modified Linked List: 12 15 11 5 6 2 3

Deleting first node
Modified Linked List: 15 11 5 6 2 3

TIme Complexity: O(n)

As we are traversing the list only once.

Auxiliary Space: O(1)

As constant extra space is used.


Please write comments if you find the above codes/algorithms incorrect, or find other ways to solve the same problem.
 


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