# Delete nodes which have a greater value on right side using recursion

Given a singly linked list, remove all the nodes which have a greater value on the right side.

**Examples:**

**a)** The list 12->15->10->11->5->6->2->3->NULL should be changed to 15->11->6->3->NULL. Note that 12, 10, 5 and 2 have been deleted because there is a greater value on the right side.

When we examine 12, we see that after 12 there is one node with a value greater than 12 (i.e. 15), so we delete 12.

When we examine 15, we find no node after 15 that has a value greater than 15 so we keep this node.

When we go like this, we get 15->6->3

**b)** The list 10->20->30->40->50->60->NULL should be changed to 60->NULL. Note that 10, 20, 30, 40 and 50 have been deleted because they all have a greater value on the right side.

**c) **The list 60->50->40->30->20->10->NULL should not be changed.

**Approach:** We have already solved this problem by using 2 loops and reversing linked list in the post Delete nodes which have a greater value on right side

Here we will discuss the solution without reversing the list. We will use recursion to solve this problem in which the base case would be when the head is pointing to NULL. Else we would be recursively calling function for the next node and updating max value if currentNode->data > currentMax. In this way, the whole list would be updated.

Below is the implementation of the above approach:

## C++

`// C++ implementation of the approach ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `/* structure of a linked list node */` `struct` `Node { ` ` ` `int` `data; ` ` ` `struct` `Node* next; ` `}; ` ` ` `/*Utility function to find maximum value*/` `int` `maxVal(` `int` `a, ` `int` `b) ` `{ ` ` ` `if` `(a > b) ` ` ` `return` `a; ` ` ` `return` `b; ` `} ` ` ` `/* Function to delete nodes which have ` `a node with greater value node ` `on left side */` `struct` `Node* delNodes(` `struct` `Node* head, ` `int` `* max) ` `{ ` ` ` ` ` `// Base case ` ` ` `if` `(head == NULL) { ` ` ` `return` `head; ` ` ` `} ` ` ` ` ` `head->next = delNodes(head->next, max); ` ` ` `if` `(head->data < *max) { ` ` ` `return` `head->next; ` ` ` `} ` ` ` `*max = maxVal(head->data, *max); ` ` ` `return` `head; ` `} ` ` ` `/* Utility function to insert a node at the begining */` `void` `push(` `struct` `Node** head, ` `int` `new_data) ` `{ ` ` ` `struct` `Node* new_node = ` `new` `Node; ` ` ` `new_node->data = new_data; ` ` ` `new_node->next = *head; ` ` ` `*head = new_node; ` `} ` ` ` `/* Utility function to print a linked list */` `void` `printList(` `struct` `Node* head) ` `{ ` ` ` `while` `(head != NULL) { ` ` ` `cout << head->data << ` `" "` `; ` ` ` `head = head->next; ` ` ` `} ` ` ` `cout << endl; ` `} ` ` ` `/* Driver program to test above functions */` `int` `main() ` `{ ` ` ` `struct` `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"` `<< endl; ` ` ` `printList(head); ` ` ` `int` `max = INT_MIN; ` ` ` `head = delNodes(head, &max); ` ` ` ` ` `cout << ` `"Modified Linked List"` `<< endl; ` ` ` `printList(head); ` ` ` ` ` `return` `0; ` `} ` |

*chevron_right*

*filter_none*

## Python3

# Python3 program to reverse a linked

# list using a stack

# Link list node

class Node:

def __init__(self, data, next):

self.data = data

self.next = next

class LinkedList:

def __init__(self):

self.head = None

# Function to push a new Node in

# the linked list

def push(self, new_data):

new_node = Node(new_data, self.head)

self.head = new_node

# Function to delete nodes which have a node

# with greater value node on left side

def delNodes(self, head):

# Base case

if head == None:

return head

global Max

head.next = self.delNodes(head.next)

if head.data < Max:
return head.next
Max = max(head.data, Max)
return head
# Function to print the Linked list
def printList(self):
curr = self.head
while curr:
print(curr.data, end = " ")
curr = curr.next
print()
# Driver Code
if __name__ == "__main__":
# Start with the empty list
linkedList = LinkedList()
# Create following linked list
# 12->15->10->11->5->6->2->3

linkedList.push(3)

linkedList.push(2)

linkedList.push(6)

linkedList.push(5)

linkedList.push(11)

linkedList.push(10)

linkedList.push(15)

linkedList.push(12)

print(“Given Linked List”)

linkedList.printList()

Max = float(‘-inf’)

linkedList.head = linkedList.delNodes(linkedList.head)

print(“Modified Linked List”)

linkedList.printList()

# This code is contributed by Rituraj Jain

**Output:**

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

## Recommended Posts:

- Delete nodes which have a greater value on right side
- Delete linked list nodes which have a greater value on left side
- Delete linked list nodes which have a Lesser Value on Left Side
- Delete all the nodes from the list that are greater than x
- Delete all the nodes from the doubly linked list that are greater than a given value
- Delete N nodes after M nodes of a linked list
- Delete a linked list using recursion
- Delete all the nodes from the list which are less than K
- Delete alternate nodes of a Linked List
- Delete all the even nodes of a Circular Linked List
- Delete all the nodes from the list which are divisible by any given number K
- Delete all the even nodes from a Doubly Linked List
- Print alternate nodes of a linked list using recursion
- Delete all the nodes from a doubly linked list that are smaller than a given value
- Delete all Prime Nodes from a Singly Linked List

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