Given a singly linked list and a number k, write a function to find the (n/k)-th element, where n is the number of elements in the list. We need to consider ceil value in case of decimals.
Examples:
Input : list = 1->2->3->4->5->6
k = 2
Output : 3
Since n = 6 and k = 2, we print (6/2)-th node
which is 3.
Input : list = 2->7->9->3->5
k = 3
Output : 7
Since n is 5 and k is 3, we print ceil(5/3)-th
node which is 2nd node, i.e., 7.
- Take two pointers temp and fractionalNode and initialize them with null and head respectively.
- For every k jumps of the temp pointer, make one jump of the fractionalNode pointer.
C++
// C++ program to find fractional node in a linked list #include <bits/stdc++.h> /* Linked list node */struct Node { int data; Node* next; }; /* Function to create a new node with given data */Node* newNode(int data) { Node* new_node = new Node; new_node->data = data; new_node->next = NULL; return new_node; } /* Function to find fractional node in the linked list */Node* fractionalNodes(Node* head, int k) { // Corner cases if (k <= 0 || head == NULL) return NULL; Node* fractionalNode = NULL; // Traverse the given list int i = 0; for (Node* temp = head; temp != NULL; temp = temp->next) { // For every k nodes, we move fractionalNode one // step ahead. if (i % k == 0) { // First time we see a multiple of k if (fractionalNode == NULL) fractionalNode = head; else fractionalNode = fractionalNode->next; } i++; } return fractionalNode; } // A utility function to print a linked list void printList(Node* node) { while (node != NULL) { printf("%d ", node->data); node = node->next; } printf("\n"); } /* Driver program to test above function */int main(void) { Node* head = newNode(1); head->next = newNode(2); head->next->next = newNode(3); head->next->next->next = newNode(4); head->next->next->next->next = newNode(5); int k = 2; printf("List is "); printList(head); Node* answer = fractionalNodes(head, k); printf("\nFractional node is "); printf("%d\n", answer->data); return 0; } |
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Java
// Java program to find fractional node in // a linked list public class FractionalNodell { /* Linked list node */ static class Node{ int data; Node next; //Constructor Node (int data){ this.data = data; } } /* Function to find fractional node in the linked list */ static Node fractionalNodes(Node head, int k) { // Corner cases if (k <= 0 || head == null) return null; Node fractionalNode = null; // Traverse the given list int i = 0; for (Node temp = head; temp != null; temp = temp.next){ // For every k nodes, we move // fractionalNode one step ahead. if (i % k == 0){ // First time we see a multiple of k if (fractionalNode == null) fractionalNode = head; else fractionalNode = fractionalNode.next; } i++; } return fractionalNode; } // A utility function to print a linked list static void printList(Node node) { while (node != null) { System.out.print(node.data+" "); node = node.next; } System.out.println(); } /* Driver program to test above function */ public static void main(String[] args) { Node head = new Node(1); head.next = new Node(2); head.next.next = new Node(3); head.next.next.next = new Node(4); head.next.next.next.next = new Node(5); int k =2; System.out.print("List is "); printList(head); Node answer = fractionalNodes(head, k); System.out.println("Fractional node is "+ answer.data); } } // This code is contributed by Sumit Ghosh |
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Python3
# Python3 program to find fractional node # in a linked list import math # Linked list node class Node: def __init__(self, data): self.data = data self.next = None # Function to create a new node # with given data def newNode(data): new_node = Node(data) new_node.data = data new_node.next = None return new_node # Function to find fractional node # in the linked list def fractionalNodes(head, k): # Corner cases if (k <= 0 or head == None): return None fractionalNode = None # Traverse the given list i = 0 temp = head while (temp != None): # For every k nodes, we move # fractionalNode one step ahead. if (i % k == 0): # First time we see a multiple of k if (fractionalNode == None): fractionalNode = head else: fractionalNode = fractionalNode.next i = i + 1 temp = temp.next return fractionalNode # A utility function to print a linked list def prList(node): while (node != None): print(node.data, end = ' ') node = node.next # Driver Code if __name__ == '__main__': head = newNode(1) head.next = newNode(2) head.next.next = newNode(3) head.next.next.next = newNode(4) head.next.next.next.next = newNode(5) k = 2 print("List is", end = ' ') prList(head) answer = fractionalNodes(head, k) print("\nFractional node is", end = ' ') print(answer.data) # This code is contributed by Srathore |
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C#
// C# program to find fractional node in // a linked list using System; public class FractionalNodell { /* Linked list node */ public class Node { public int data; public Node next; //Constructor public Node (int data) { this.data = data; } } /* Function to find fractional node in the linked list */ static Node fractionalNodes(Node head, int k) { // Corner cases if (k <= 0 || head == null) return null; Node fractionalNode = null; // Traverse the given list int i = 0; for (Node temp = head; temp != null; temp = temp.next) { // For every k nodes, we move // fractionalNode one step ahead. if (i % k == 0) { // First time we see a multiple of k if (fractionalNode == null) fractionalNode = head; else fractionalNode = fractionalNode.next; } i++; } return fractionalNode; } // A utility function to print a linked list static void printList(Node node) { while (node != null) { Console.Write(node.data+" "); node = node.next; } Console.WriteLine(); } /* Driver code */ public static void Main(String[] args) { Node head = new Node(1); head.next = new Node(2); head.next.next = new Node(3); head.next.next.next = new Node(4); head.next.next.next.next = new Node(5); int k =2; Console.Write("List is "); printList(head); Node answer = fractionalNodes(head, k); Console.WriteLine("Fractional node is "+ answer.data); } } // This code is contributed by Rajput-Ji |
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Output:
List is 1 2 3 4 5 Fractional node is 3
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