Remove all Fibonacci Nodes from a Circular Singly Linked List

Given a circular singly linked list containing N nodes, the task is to remove all the nodes from the list which contains Fibonacci data values.
Examples: 
 

Input: CLL = 9 -> 11 -> 34 -> 6 -> 13 -> 20 
Output: 9 -> 11 -> 6 -> 20 
Explanation: 
The list contains 2 fibonacci data values 32 and 13. 
Therefore, the nodes containing this data has been deleted
Input: 5 -> 11 -> 16 -> 21 -> 17 -> 10 
Output: 11 -> 16 -> 17 -> 10 
Explanation: 
The list contains 2 fibonacci data values 5 and 21. 
Therefore, the nodes containing this data has been deleted 
 

 

Approach: The idea is to use hashing to precompute and store the Fibonacci numbers, and then check if a node contains a Fibonacci value in O(1) time.
 

  1. Traverse through the entire circular singly linked list and obtain the maximum value in the list.
  2. Now, in order to check for the Fibonacci numbers, build a hash table containing all the Fibonacci numbers less than or equal to the maximum value in the circular singly linked list.
  3. Finally, traverse the nodes of the circular singly linked list one by one and check if the node contains Fibonacci numbers as their data value. Remove the nodes which have Fibonacci value.

Below is the implementation of the above idea: 
 

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// C++ program to delete all the
// Fibonacci nodes from the
// circular singly linked list
 
#include <bits/stdc++.h>
using namespace std;
 
// Structure for a node
struct Node {
    int data;
    struct Node* next;
};
 
// Function to insert a node at the beginning
// of a Circular linked list
void push(struct Node** head_ref, int data)
{
    // Create a new node and make head as next
    // of it.
    struct Node* ptr1
        = (struct Node*)malloc(
            sizeof(struct Node));
    struct Node* temp = *head_ref;
    ptr1->data = data;
    ptr1->next = *head_ref;
 
    // If linked list is not NULL then
    // set the next of last node
    if (*head_ref != NULL) {
 
        // Find the node before head
        // and update next of it.
        while (temp->next != *head_ref)
            temp = temp->next;
 
        temp->next = ptr1;
    }
    else
 
        // Point for the first node
        ptr1->next = ptr1;
 
    *head_ref = ptr1;
}
 
// Delete the node from a Circular Linked list
void deleteNode(Node* head_ref, Node* del)
{
    struct Node* temp = head_ref;
 
    // If node to be deleted is head node
    if (head_ref == del)
        head_ref = del->next;
 
    // Traverse list till not found
    // delete node
    while (temp->next != del) {
        temp = temp->next;
    }
 
    // Copy the address of the node
    temp->next = del->next;
 
    // Finally, free the memory
    // occupied by del
    free(del);
 
    return;
}
 
// Function to find the maximum
// node of the circular linked list
int largestElement(struct Node* head_ref)
{
    // Pointer for traversing
    struct Node* current;
 
    // Initialize head to the current pointer
    current = head_ref;
 
    // Initialize min int value to max
    int maxEle = INT_MIN;
 
    // While the last node is not reached
    do {
 
        // If current node data is
        // greater for max then replace it
        if (current->data > maxEle) {
            maxEle = current->data;
        }
 
        current = current->next;
    } while (current != head_ref);
 
    return maxEle;
}
 
// Function to create hash table to
// check Fibonacci numbers
void createHash(set<int>& hash,
                int maxElement)
{
    int prev = 0, curr = 1;
 
    // Adding the first two elements
    // to the hash
    hash.insert(prev);
    hash.insert(curr);
 
    // Inserting the Fibonacci numbers
    // into the hash
    while (curr <= maxElement) {
        int temp = curr + prev;
        hash.insert(temp);
        prev = curr;
        curr = temp;
    }
}
 
// Function to delete all the Fibonacci nodes
// from the singly circular linked list
void deleteFibonacciNodes(Node* head)
{
    // Find the largest node value
    // in Circular Linked List
    int maxEle = largestElement(head);
 
    // Creating a hash containing
    // all the Fibonacci numbers
    // upto the maximum data value
    // in the circular linked list
    set<int> hash;
    createHash(hash, maxEle);
 
    struct Node* ptr = head;
 
    struct Node* next;
 
    // Traverse the list till the end
    do {
 
        // If the node's data is Fibonacci,
        // delete node 'ptr'
        if (hash.find(ptr->data)
            != hash.end())
            deleteNode(head, ptr);
 
        // Point to the next node
        next = ptr->next;
        ptr = next;
 
    } while (ptr != head);
}
 
// Function to print nodes in a
// given Circular linked list
void printList(struct Node* head)
{
    struct Node* temp = head;
    if (head != NULL) {
        do {
            printf("%d ", temp->data);
            temp = temp->next;
        } while (temp != head);
    }
}
 
// Driver code
int main()
{
    // Initialize lists as empty
    struct Node* head = NULL;
 
    // Created linked list will be
    // 9->11->34->6->13->20
    push(&head, 20);
    push(&head, 13);
    push(&head, 6);
    push(&head, 34);
    push(&head, 11);
    push(&head, 9);
 
    deleteFibonacciNodes(head);
 
    printList(head);
 
    return 0;
}
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// Java program to delete all the
// Fibonacci nodes from the
// circular singly linked list
import java.util.*;
 
class GFG{
  
// Structure for a node
static class Node {
    int data;
    Node next;
};
  
// Function to insert a node at the beginning
// of a Circular linked list
static Node push(Node head_ref, int data)
{
    // Create a new node and make head as next
    // of it.
    Node ptr1 = new Node();
    Node temp = head_ref;
    ptr1.data = data;
    ptr1.next = head_ref;
  
    // If linked list is not null then
    // set the next of last node
    if (head_ref != null) {
  
        // Find the node before head
        // and update next of it.
        while (temp.next != head_ref)
            temp = temp.next;
  
        temp.next = ptr1;
    }
    else
  
        // Point for the first node
        ptr1.next = ptr1;
  
    head_ref = ptr1;
    return head_ref;
}
  
// Delete the node from a Circular Linked list
static void deleteNode(Node head_ref, Node del)
{
    Node temp = head_ref;
  
    // If node to be deleted is head node
    if (head_ref == del)
        head_ref = del.next;
  
    // Traverse list till not found
    // delete node
    while (temp.next != del) {
        temp = temp.next;
    }
  
    // Copy the address of the node
    temp.next = del.next;
  
    // Finally, free the memory
    // occupied by del
    del = null;
  
    return;
}
  
// Function to find the maximum
// node of the circular linked list
static int largestElement(Node head_ref)
{
    // Pointer for traversing
    Node current;
  
    // Initialize head to the current pointer
    current = head_ref;
  
    // Initialize min int value to max
    int maxEle = Integer.MIN_VALUE;
  
    // While the last node is not reached
    do {
  
        // If current node data is
        // greater for max then replace it
        if (current.data > maxEle) {
            maxEle = current.data;
        }
  
        current = current.next;
    } while (current != head_ref);
  
    return maxEle;
}
  
// Function to create hash table to
// check Fibonacci numbers
static void createHash(HashSet<Integer> hash,
                int maxElement)
{
    int prev = 0, curr = 1;
  
    // Adding the first two elements
    // to the hash
    hash.add(prev);
    hash.add(curr);
  
    // Inserting the Fibonacci numbers
    // into the hash
    while (curr <= maxElement) {
        int temp = curr + prev;
        hash.add(temp);
        prev = curr;
        curr = temp;
    }
}
  
// Function to delete all the Fibonacci nodes
// from the singly circular linked list
static void deleteFibonacciNodes(Node head)
{
    // Find the largest node value
    // in Circular Linked List
    int maxEle = largestElement(head);
  
    // Creating a hash containing
    // all the Fibonacci numbers
    // upto the maximum data value
    // in the circular linked list
    HashSet<Integer> hash = new HashSet<Integer>();
    createHash(hash, maxEle);
  
    Node ptr = head;
  
    Node next;
  
    // Traverse the list till the end
    do {
  
        // If the node's data is Fibonacci,
        // delete node 'ptr'
        if (hash.contains(ptr.data))
            deleteNode(head, ptr);
  
        // Point to the next node
        next = ptr.next;
        ptr = next;
  
    } while (ptr != head);
}
  
// Function to print nodes in a
// given Circular linked list
static void printList(Node head)
{
    Node temp = head;
    if (head != null) {
        do {
            System.out.printf("%d ", temp.data);
            temp = temp.next;
        } while (temp != head);
    }
}
  
// Driver code
public static void main(String[] args)
{
    // Initialize lists as empty
    Node head = null;
  
    // Created linked list will be
    // 9.11.34.6.13.20
    head = push(head, 20);
    head = push(head, 13);
    head = push(head, 6);
    head = push(head, 34);
    head = push(head, 11);
    head = push(head, 9);
  
    deleteFibonacciNodes(head);
  
    printList(head);
}
}
 
// This code is contributed by 29AjayKumar
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# Python3 program to delete all the
# Fibonacci nodes from the
# circular singly linked list
   
# Structure for a node
class Node:
     
    def __init__(self):
        self.data = 0
        self.next = None
       
# Function to add a node at the beginning
# of a Circular linked list
def push(head_ref, data):
 
    # Create a new node and make head as next
    # of it.
    ptr1 = Node()
    temp = head_ref;
    ptr1.data = data;
    ptr1.next = head_ref;
   
    # If linked list is not None then
    # set the next of last node
    if (head_ref != None):
   
        # Find the node before head
        # and update next of it.
        while (temp.next != head_ref):
            temp = temp.next;
   
        temp.next = ptr1;
     
    else:
   
        # Point for the first node
        ptr1.next = ptr1;
   
    head_ref = ptr1;
     
    return head_ref
   
# Delete the node from a Circular Linked list
def deleteNode( head_ref,  delt):
 
    temp = head_ref;
   
    # If node to be deleted is head node
    if (head_ref == delt):
        head_ref = delt.next;
   
    # Traverse list till not found
    # delete node
    while (temp.next != delt):
        temp = temp.next;
       
    # Copy the address of the node
    temp.next = delt.next;
   
    # Finally, free the memory
    # occupied by delt
    del(delt);
   
    return;
 
# Function to find the maximum
# node of the circular linked list
def largestElement( head_ref):
 
    # Pointer for traversing
    current = None
   
    # Initialize head to the current pointer
    current = head_ref;
   
    # Initialize min value to max
    maxEle = -10000000
   
    # While the last node is not reached
    while(True):
   
        # If current node data is
        # greater for max then replace it
        if (current.data > maxEle):
            maxEle = current.data;
           
        current = current.next;
         
        if(current == head_ref):
            break
         
    return maxEle;
   
# Function to create hashmap table to
# check Fibonacci numbers
def createHash(hashmap, maxElement):
 
    prev = 0
    curr = 1;
   
    # Adding the first two elements
    # to the hashmap
    hashmap.add(prev);
    hashmap.add(curr);
   
    # Inserting the Fibonacci numbers
    # into the hashmap
    while (curr <= maxElement):
        temp = curr + prev;
        hashmap.add(temp);
        prev = curr;
        curr = temp;
       
# Function to delete all the Fibonacci nodes
# from the singly circular linked list
def deleteFibonacciNodes( head):
 
    # Find the largest node value
    # in Circular Linked List
    maxEle = largestElement(head);
   
    # Creating a hashmap containing
    # all the Fibonacci numbers
    # upto the maximum data value
    # in the circular linked list
    hashmap = set()
    createHash(hashmap, maxEle);
   
    ptr = head;
   
    next = None
   
    # Traverse the list till the end
    while(True):
   
        # If the node's data is Fibonacci,
        # delete node 'ptr'
        if (ptr.data in hashmap):
            deleteNode(head, ptr);
   
        # Point to the next node
        next = ptr.next;
        ptr = next;
         
        if(ptr == head):
            break
             
# Function to print nodes in a
# given Circular linked list
def printList( head):
 
    temp = head;
    if (head != None):
         
        while(True):
             
            print(temp.data, end = ' ')
            temp = temp.next
             
            if(temp == head):
                break
   
# Driver code
if __name__=='__main__':
     
    # Initialize lists as empty
    head = None;
   
    # Created linked list will be
    # 9.11.34.6.13.20
    head = push(head, 20);
    head = push(head, 13);
    head = push(head, 6);
    head = push(head, 34);
    head = push(head, 11);
    head = push(head, 9);
   
    deleteFibonacciNodes(head);
   
    printList(head);
   
# This code is contributed by rutvik_56
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// C# program to delete all the
// Fibonacci nodes from the
// circular singly linked list
using System;
using System.Collections.Generic;
 
class GFG{
   
// Structure for a node
class Node {
    public int data;
    public Node next;
};
   
// Function to insert a node at the beginning
// of a Circular linked list
static Node push(Node head_ref, int data)
{
    // Create a new node and make head as next
    // of it.
    Node ptr1 = new Node();
    Node temp = head_ref;
    ptr1.data = data;
    ptr1.next = head_ref;
   
    // If linked list is not null then
    // set the next of last node
    if (head_ref != null) {
   
        // Find the node before head
        // and update next of it.
        while (temp.next != head_ref)
            temp = temp.next;
   
        temp.next = ptr1;
    }
    else
   
        // Point for the first node
        ptr1.next = ptr1;
   
    head_ref = ptr1;
    return head_ref;
}
   
// Delete the node from a Circular Linked list
static void deleteNode(Node head_ref, Node del)
{
    Node temp = head_ref;
   
    // If node to be deleted is head node
    if (head_ref == del)
        head_ref = del.next;
   
    // Traverse list till not found
    // delete node
    while (temp.next != del) {
        temp = temp.next;
    }
   
    // Copy the address of the node
    temp.next = del.next;
   
    // Finally, free the memory
    // occupied by del
    del = null;
   
    return;
}
   
// Function to find the maximum
// node of the circular linked list
static int largestElement(Node head_ref)
{
    // Pointer for traversing
    Node current;
   
    // Initialize head to the current pointer
    current = head_ref;
   
    // Initialize min int value to max
    int maxEle = int.MinValue;
   
    // While the last node is not reached
    do {
   
        // If current node data is
        // greater for max then replace it
        if (current.data > maxEle) {
            maxEle = current.data;
        }
   
        current = current.next;
    } while (current != head_ref);
   
    return maxEle;
}
   
// Function to create hash table to
// check Fibonacci numbers
static void createHash(HashSet<int> hash,
                int maxElement)
{
    int prev = 0, curr = 1;
   
    // Adding the first two elements
    // to the hash
    hash.Add(prev);
    hash.Add(curr);
   
    // Inserting the Fibonacci numbers
    // into the hash
    while (curr <= maxElement) {
        int temp = curr + prev;
        hash.Add(temp);
        prev = curr;
        curr = temp;
    }
}
   
// Function to delete all the Fibonacci nodes
// from the singly circular linked list
static void deleteFibonacciNodes(Node head)
{
    // Find the largest node value
    // in Circular Linked List
    int maxEle = largestElement(head);
   
    // Creating a hash containing
    // all the Fibonacci numbers
    // upto the maximum data value
    // in the circular linked list
    HashSet<int> hash = new HashSet<int>();
    createHash(hash, maxEle);
   
    Node ptr = head;
   
    Node next;
   
    // Traverse the list till the end
    do {
   
        // If the node's data is Fibonacci,
        // delete node 'ptr'
        if (hash.Contains(ptr.data))
            deleteNode(head, ptr);
   
        // Point to the next node
        next = ptr.next;
        ptr = next;
   
    } while (ptr != head);
}
   
// Function to print nodes in a
// given Circular linked list
static void printList(Node head)
{
    Node temp = head;
    if (head != null) {
        do {
            Console.Write("{0} ", temp.data);
            temp = temp.next;
        } while (temp != head);
    }
}
   
// Driver code
public static void Main(String[] args)
{
    // Initialize lists as empty
    Node head = null;
   
    // Created linked list will be
    // 9.11.34.6.13.20
    head = push(head, 20);
    head = push(head, 13);
    head = push(head, 6);
    head = push(head, 34);
    head = push(head, 11);
    head = push(head, 9);
   
    deleteFibonacciNodes(head);
   
    printList(head);
}
}
 
// This code is contributed by PrinciRaj1992
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Output: 
9 11 6 20

 

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