Sum and Product of nodes with value as even digit sum in Circular Linked List

Last Updated : 02 Sep, 2022

Given a circular singly linked list containing N nodes, The task is to find the sum and product of all the nodes from the list whose data value has an even digit sum.

Examples:

Input: List = 15 -> 16 -> 8 -> 6 -> 13
Output: Sum = 42, Product = 9360
Explanation:
The circular linked list contains:
15 -> 1 + 5 = 6
16 -> 1 + 6 = 7
8 -> 8
6 -> 6
13 -> 1 + 3 = 4
The list contains 4 Even Digit Sum data values 15, 8, 6 and 13.
Sum = 15 + 8 + 6 + 13 = 42
Product = 15 * 8 * 6 * 13 = 9360

Input: List = 5 -> 3 -> 4 -> 2 -> 9
Output: Sum = 6, Product = 8
Explanation:
The list contains 2 Even Digit Sum data values 4 and 2.
Sum = 4 + 2 = 6
Product = 4 * 2 = 8

Approach:

Initialize a pointer current with the head of the circular linked list and a sum variable sum with 0 and a product variable product with 1.
Start traversing the linked list using a do-while loop until all the nodes get traversed.
If current node data value has an even digit sum.
- Add the value of current node to the sum i.e. sum = sum + current -> data.
- Multiply the value of current node to the product i.e. product = product * current -> data.
- Increment the pointer to the next node of linked list i.e. temp = temp -> next.
Print the sum and product.

Below is the implementation of the above approach:

C++

// C++ implementation to find the sum and
// product of all of the Even Digit sum nodes
// in a circularly linked list
#include <bits/stdc++.h>
using namespace std;

// Circular list node
struct Node {
    int data;
    struct Node* next;
};

// Function to find the digit sum
// for a number
int digitSum(int num)
{
    int sum = 0;
    while (num) {
        sum += (num % 10);
        num /= 10;
    }

    return sum;
}

// Function to calculate sum and
// product
void SumProduct(struct Node* head,
                int key)
{
    struct Node* current = head;

    int sum = 0, product = 1;

    // If list is empty simply 
    // show message
    if (head == NULL) {
        printf("\nList is empty\n");
        return;
    }
    // Traverse first to last node
    else {
        do {
            // Check if current node's
            // data has an even digit sum
            if (!(digitSum(current->data) 
                  & 1))
            {

                // Calculate sum
                sum += current->data;

                // Calculate product
                product *= current->data;
            }

            current = current->next;
        } while (current != head);
    }

    cout << "Sum = " << sum 
        << ", Product = " << product;
}

// Function print the list
void DisplayList(struct Node* head)
{
    struct Node* current = head;

    // If list is empty simply
    // show message
    if (head == NULL)
    {
        printf("\nList is empty\n");
        return;
    }
    // Traverse first to last node
    else {
        do {
            printf("%d ", current->data);
            current = current->next;
        } while (current != head);
    }
}

// Function to insert a node at the 
// end of a Circular linked list
void InsertNode(struct Node** head,
                int data)
{
    struct Node* current = *head;
    
    // Create a new node
    struct Node* newNode = new Node;

    // Check node is created or not
    if (!newNode) {
        printf("\nMemory Error\n");
        return;
    }

    // Insert data into newly
    // created node
    newNode->data = data;

    // Check list is empty
    // if not have any node then
    // make first node it
    if (*head == NULL) {
        newNode->next = newNode;
        *head = newNode;
        return;
    }
    // If list have already some node
    else {

        // Move first node to last 
        // node
        while (current->next != *head)
        {
            current = current->next;
        }

        // Put first or head node 
        // address in new node link
        newNode->next = *head;

        // Put new node address into 
        // last node link(next)
        current->next = newNode;
    }
}

// Driver Code
int main()
{
    struct Node* head = NULL;
    InsertNode(&head, 13);
    InsertNode(&head, 6);
    InsertNode(&head, 8);
    InsertNode(&head, 15);
    InsertNode(&head, 16);

    cout << "Initial List: ";
    DisplayList(head);

    cout << endl;
    SumProduct(head, 11);

    return 0;
}

Java

// Java implementation to find the sum and 
// product of all of the Even Digit sum nodes 
// in a circularly linked list 
class GFG{

// Structure for a node
static class Node{
    int data;
    Node next;
}

// Function to calculate the sum of
// individual digits
static int digitSum(int n)
{
    int sum = 0;
    while (n != 0) 
    {
        sum += n % 10;
        n /= 10;
    }
    return sum;
}

// Function to calculate sum and
// product
static void SumProduct(Node head)
{
    Node temp = head;
    int Sum = 0;
    int Prod = 1;
    
    do 
    {
        
        // Check if current node's
        // data has an even digit sum
        if (digitSum(temp.data) % 2 == 0)
        {
            Sum += temp.data;
            Prod *= temp.data;
        }

        temp = temp.next;

    } while (temp != head);

    System.out.print("Sum = " + Sum);
    System.out.print(", Product = " + Prod);
}

// Function print the list
static void DisplayList(Node head)
{
    Node temp = head;
    if (head != null)
    {
        do
        {
            
            // Traverse first to last node
            System.out.print(temp.data + " ");
            temp = temp.next;
        } while (temp != head);
    }
    System.out.println();
}

// Function to insert a node at the ending
// of a Circular linked list
static Node InsertNode(int key, Node head)
{

    // Create a new node
    Node new_node = new Node();
    new_node.data = key;

    // If linked list is null then
    // make the first node as head 
    // after insertion
    if (head == null)
    {
        head = new_node;
        new_node.next = head;

    } 
    else
    {
        
        // traverse to the end and insert
        // node at the end and make
        // it point to the head
        Node temp = head;
        while (temp.next != head) 
        {
            temp = temp.next;
        }
        
        temp.next = new_node;
        new_node.next = head;
    }
    return head;
}

// Driver code
public static void main(String args[]) 
{
    Node head = null;
    
    head = InsertNode(13, head);
    head = InsertNode(6, head);
    head = InsertNode(8, head);
    head = InsertNode(15, head);
    head = InsertNode(16, head);
    
    System.out.print("Initial List: ");
    
    DisplayList(head);
    SumProduct(head);
}
}

// This code is contributed by nishkarsh146

Python3

# Python3 implementation to find the 
# sum and product of all of the Even 
# Digit sum nodes in a circularly 
# linked list

# Circular list node
class Node:
    
    def __init__(self, x):
        
        self.data = x
        self.next = None

# Function to find the digit sum
# for a number
def digitSum(num):
    
    sum = 0 
    
    while (num):
        sum += (num % 10)
        num //= 10
        
    return sum

# Function to calculate sum and
# product
def SumProduct(head, key):
    
    current = head
    sum = 0
    product = 1

    # If list is empty simply
    # show message
    if (head == None):
        print("List is empty")
        return
    
    # Traverse first to last node
    else:
        while (True):
            
            # Check if current node's
            # data has an even digit sum
            if (not (digitSum(current.data) & 1)):

                # Calculate sum
                sum += current.data

                # Calculate product
                product *= current.data

            current = current.next

            if current == head:
                break

    print("Sum =", sum, 
          ", Product = ", product)

# Function print the list
def DisplayList(head):
    
    current = head

    # If list is empty simply
    # show message
    if (head == None):
        print("List is empty\n")
        return
    
    # Traverse first to last node
    else:
        while True:
            print(current.data, end = " ")
            current = current.next

            if current == head:
                break

# Function to insert a node at the
# end of a Circular linked list
def InsertNode(head, data):
    
    current = head

    # Create a new node
    newNode = Node(data)

    # Check node is created or not
    if (not newNode):
        print("Memory Error")
        return

    # Check list is empty
    # if not have any node then
    # make first node it
    if (head == None):
        newNode.next = newNode
        head = newNode
        return head
        
    # If list have already some node
    else:

        # Move first node to last
        # node
        while (current.next != head):
            current = current.next

        # Put first or head node
        # address in new node link
        newNode.next = head

        # Put new node address into
        # last node link(next)
        current.next = newNode

    return head

# Driver Code
if __name__ == '__main__':
    
    head = None
    head = InsertNode(head, 13)
    head = InsertNode(head, 6)
    head = InsertNode(head, 8)
    head = InsertNode(head, 15)
    head = InsertNode(head, 16)

    print("Initial List: ", end = " ")

    DisplayList(head)

    print()
    SumProduct(head, 11)
    
# This code is contributed by mohit kumar 29

// C# implementation to find the sum and 
// product of all of the Even Digit sum nodes 
// in a circularly linked list 
using System;

class GFG{

// Structure for a node
class Node
{
    public int data;
    public Node next;
}

// Function to calculate the sum of
// individual digits
static int digitSum(int n)
{
    int sum = 0;
    while (n != 0) 
    {
        sum += n % 10;
        n /= 10;
    }
    return sum;
}

// Function to calculate sum and
// product
static void SumProduct(Node head)
{
    Node temp = head;
    int Sum = 0;
    int Prod = 1;
    
    do
    {
        
        // Check if current node's
        // data has an even digit sum
        if (digitSum(temp.data) % 2 == 0)
        {
            Sum += temp.data;
            Prod *= temp.data;
        }

        temp = temp.next;

    } while (temp != head);

    Console.Write("Sum = " + Sum);
    Console.Write(", Product = " + Prod);
}

// Function print the list
static void DisplayList(Node head)
{
    Node temp = head;
    if (head != null)
    {
        do
        {
            
            // Traverse first to last node
            Console.Write(temp.data + " ");
            temp = temp.next;
        } while (temp != head);
    }
    Console.WriteLine();
}

// Function to insert a node at the ending
// of a Circular linked list
static Node InsertNode(int key, Node head)
{

    // Create a new node
    Node new_node = new Node();
    new_node.data = key;

    // If linked list is null then
    // make the first node as head 
    // after insertion
    if (head == null)
    {
        head = new_node;
        new_node.next = head;

    } 
    else
    {
        
        // traverse to the end and insert
        // node at the end and make
        // it point to the head
        Node temp = head;
        while (temp.next != head) 
        {
            temp = temp.next;
        }
        
        temp.next = new_node;
        new_node.next = head;
    }
    return head;
}

// Driver code
public static void Main(String []args) 
{
    Node head = null;
    
    head = InsertNode(13, head);
    head = InsertNode(6, head);
    head = InsertNode(8, head);
    head = InsertNode(15, head);
    head = InsertNode(16, head);
    
    Console.Write("Initial List: ");
    
    DisplayList(head);
    SumProduct(head);
}
}

// This code is contributed by 29AjayKumar

JavaScript

<script>
// Javascript implementation to find the sum and
// product of all of the Even Digit sum nodes
// in a circularly linked list
class Node
{
    data;
    next;
    
}

// Function to calculate the sum of
// individual digits
function digitSum(n)
{
    let sum = 0;
    while (n != 0)
    {
        sum += n % 10;
        n = Math.floor(n/10);
    }
    return sum;
}

// Function to calculate sum and
// product
function SumProduct(head)
{
    let temp = head;
    let Sum = 0;
    let Prod = 1;
     
    do
    {
         
        // Check if current node's
        // data has an even digit sum
        if (digitSum(temp.data) % 2 == 0)
        {
            Sum += temp.data;
            Prod *= temp.data;
        }
 
        temp = temp.next;
 
    } while (temp != head);
 
    document.write("Sum = " + Sum);
    document.write(", Product = " + Prod);
}

// Function print the list
function DisplayList(head)
{
    let temp = head;
    if (head != null)
    {
        do
        {
             
            // Traverse first to last node
            document.write(temp.data + " ");
            temp = temp.next;
        } while (temp != head);
    }
    document.write("<br>");
}

// Function to insert a node at the ending
// of a Circular linked list
function InsertNode(key,head)
{
    // Create a new node
    let new_node = new Node();
    new_node.data = key;
 
    // If linked list is null then
    // make the first node as head
    // after insertion
    if (head == null)
    {
        head = new_node;
        new_node.next = head;
 
    }
    else
    {
         
        // traverse to the end and insert
        // node at the end and make
        // it point to the head
        let temp = head;
        while (temp.next != head)
        {
            temp = temp.next;
        }
         
        temp.next = new_node;
        new_node.next = head;
    }
    return head;
}

// Driver code
let head = null;
     
head = InsertNode(13, head);
head = InsertNode(6, head);
head = InsertNode(8, head);
head = InsertNode(15, head);
head = InsertNode(16, head);
document.write("Initial List: ");
DisplayList(head);
SumProduct(head);

// This code is contributed by patel2127
</script>

Output:

Initial List: 13 6 8 15 16 
Sum = 42, Product = 9360

Time complexity: O(nlogn) where n is the size of the linked list, log₁₀is used for calculating the digit sum.
Auxiliary space: O(1) as constant space is being used.

Remove all the Even Digit Sum Nodes from a Circular Singly Linked List

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Sum and Product of nodes with value as even digit sum in Circular Linked List

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