Given a Singly Linked List, starting from the second node delete all alternate nodes of it. For example, if the given linked list is 1->2->3->4->5 then your function should convert it to 1->3->5, and if the given linked list is 1->2->3->4 then convert it to 1->3.
Method 1 (Iterative)
Keep track of previous of the node to be deleted. First, change the next link of the previous node and iteratively move to the next node.
C++
#include <bits/stdc++.h>
using namespace std;
class Node
{
public :
int data;
Node *next;
};
void deleteAlt(Node *head)
{
if (head == NULL)
return ;
Node *prev = head;
Node *node = head->next;
while (prev != NULL && node != NULL)
{
prev->next = node->next;
delete (node);
prev = prev->next;
if (prev != NULL)
node = prev->next;
}
}
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;
}
void printList(Node *node)
{
while (node != NULL)
{
cout<< node->data<< " " ;
node = node->next;
}
}
int main()
{
Node* head = NULL;
push(&head, 5);
push(&head, 4);
push(&head, 3);
push(&head, 2);
push(&head, 1);
cout<< "List before calling deleteAlt() \n" ;
printList(head);
deleteAlt(head);
cout<< "\nList after calling deleteAlt() \n" ;
printList(head);
return 0;
}
|
C
#include<stdio.h>
#include<stdlib.h>
struct Node
{
int data;
struct Node *next;
};
void deleteAlt( struct Node *head)
{
if (head == NULL)
return ;
struct Node *prev = head;
struct Node *node = head->next;
while (prev != NULL && node != NULL)
{
prev->next = node->next;
free (node);
prev = prev->next;
if (prev != NULL)
node = prev->next;
}
}
void push( struct Node** head_ref, int new_data)
{
struct Node* new_node =
( struct Node*) malloc ( sizeof ( struct Node));
new_node->data = new_data;
new_node->next = (*head_ref);
(*head_ref) = new_node;
}
void printList( struct Node *node)
{
while (node != NULL)
{
printf ( "%d " , node->data);
node = node->next;
}
}
int main()
{
struct Node* head = NULL;
push(&head, 5);
push(&head, 4);
push(&head, 3);
push(&head, 2);
push(&head, 1);
printf ( "\nList before calling deleteAlt() \n" );
printList(head);
deleteAlt(head);
printf ( "\nList after calling deleteAlt() \n" );
printList(head);
return 0;
}
|
Java
class LinkedList {
Node head;
class Node {
int data;
Node next;
Node( int d)
{
data = d;
next = null ;
}
}
void deleteAlt()
{
if (head == null )
return ;
Node node = head;
while (node != null && node.next != null ) {
node.next = node.next.next;
node = node.next;
}
}
public void push( int new_data)
{
Node new_node = new Node(new_data);
new_node.next = head;
head = new_node;
}
void printList()
{
Node temp = head;
while (temp != null ) {
System.out.print(temp.data + " " );
temp = temp.next;
}
System.out.println();
}
public static void main(String args[])
{
LinkedList llist = new LinkedList();
llist.push( 5 );
llist.push( 4 );
llist.push( 3 );
llist.push( 2 );
llist.push( 1 );
System.out.println(
"Linked List before calling deleteAlt() " );
llist.printList();
llist.deleteAlt();
System.out.println(
"Linked List after calling deleteAlt() " );
llist.printList();
}
}
|
Python3
import math
class Node:
def __init__( self , data):
self .data = data
self . next = None
def deleteAlt(head):
if (head = = None ):
return
prev = head
now = head. next
while (prev ! = None and now ! = None ):
prev. next = now. next
now = None
prev = prev. next
if (prev ! = None ):
now = prev. next
def push(head_ref, new_data):
new_node = Node(new_data)
new_node.data = new_data
new_node. next = head_ref
head_ref = new_node
return head_ref
def printList(node):
while (node ! = None ):
print (node.data, end = " " )
node = node. next
if __name__ = = '__main__' :
head = None
head = push(head, 5 )
head = push(head, 4 )
head = push(head, 3 )
head = push(head, 2 )
head = push(head, 1 )
print ( "List before calling deleteAlt() " )
printList(head)
deleteAlt(head)
print ( "\nList after calling deleteAlt() " )
printList(head)
|
C#
using System;
public class LinkedList
{
Node head;
public class Node
{
public int data;
public Node next;
public Node( int d)
{
data = d; next = null ;
}
}
void deleteAlt()
{
if (head == null )
return ;
Node prev = head;
Node now = head.next;
while (prev != null && now != null )
{
prev.next = now.next;
now = null ;
prev = prev.next;
if (prev != null )
now = prev.next;
}
}
public void push( int new_data)
{
Node new_node = new Node(new_data);
new_node.next = head;
head = new_node;
}
void printList()
{
Node temp = head;
while (temp != null )
{
Console.Write(temp.data+ " " );
temp = temp.next;
}
Console.WriteLine();
}
public static void Main(String []args)
{
LinkedList llist = new LinkedList();
llist.push(5);
llist.push(4);
llist.push(3);
llist.push(2);
llist.push(1);
Console.WriteLine( "Linked List before" +
"calling deleteAlt() " );
llist.printList();
llist.deleteAlt();
Console.WriteLine( "Linked List after" +
"calling deleteAlt() " );
llist.printList();
}
}
|
Javascript
<script>
var head;
class Node {
constructor(val) {
this .data = val;
this .next = null ;
}
}
function deleteAlt() {
if (head == null )
return ;
var prev = head;
var now = head.next;
while (prev != null && now != null ) {
prev.next = now.next;
now = null ;
prev = prev.next;
if (prev != null )
now = prev.next;
}
}
function push(new_data) {
var new_node = new Node(new_data);
new_node.next = head;
head = new_node;
}
function printList() {
var temp = head;
while (temp != null ) {
document.write(temp.data + " " );
temp = temp.next;
}
document.write( "<br/>" );
}
push(5);
push(4);
push(3);
push(2);
push(1);
document.write(
"Linked List before calling deleteAlt() <br/>"
);
printList();
deleteAlt();
document.write(
"Linked List after calling deleteAlt()<br/> "
);
printList();
</script>
|
Output
List before calling deleteAlt()
1 2 3 4 5
List after calling deleteAlt()
1 3 5
Time Complexity: O(n)
where n is the number of nodes in the given Linked List.
Auxiliary Space: O(1)
As constant extra space is used.
Method 2 (Recursive)
Recursive code uses the same approach as method 1. The recursive code is simple and short but causes O(n) recursive function calls for a linked list of size n.
C++
void deleteAlt(Node *head)
{
if (head == NULL)
return ;
Node *node = head->next;
if (node == NULL)
return ;
head->next = node->next;
free (node);
deleteAlt(head->next);
}
|
C
void deleteAlt( struct Node *head)
{
if (head == NULL)
return ;
struct Node *node = head->next;
if (node == NULL)
return ;
head->next = node->next;
free (node);
deleteAlt(head->next);
}
|
Java
static Node deleteAlt(Node head)
{
if (head == null )
return ;
Node node = head.next;
if (node == null )
return ;
head.next = node.next;
head.next = deleteAlt(head.next);
}
|
Python3
def deleteAlt(head):
if (head = = None ):
return
node = head. next
if (node = = None ):
return
head. next = node. next
deleteAlt(head. next )
|
C#
static Node deleteAlt(Node head)
{
if (head == null )
return ;
Node node = head.next;
if (node == null )
return ;
head.next = node.next;
head.next = deleteAlt(head.next);
}
|
Javascript
<script>
function deleteAlt(head)
{
if (head == null )
return ;
var node = head.next;
if (node == null )
return ;
head.next = node.next;
head.next = deleteAlt(head.next);
}
</script>
|
Time Complexity: O(n)
Auxiliary Space: O(1)
As this is a tail recursive function no function call stack is required thus the extra space used is constant.
Please write comments if you find the above code/algorithm incorrect, or find better ways to solve the same problem.
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