# Find the fractional (or n/k – th) node in linked list in C++

C++Server Side ProgrammingProgramming

Suppose we have a singly linked list and the number k. We have to write a function to find the (n/k)th element, where n is the number of elements in the list. For decimals, we will choose the ceiling values. So if the list is like 1, 2, 3, 4, 5, 6, and k = 2, then output will be 3, as n = 6 and k = 2, then we will print n/k th node so 6/2 th node = 3rd node that is 3.

To solve this we have to follow some steps like below −

• Take two pointers called temp, and fracPoint, then initialize them with null and start respectively.
• For every k, jumps of the temp pointer, make one jump of the fracPoint pointer.

## Example

Live Demo

#include<iostream>
using namespace std;
class Node {
public:
int data;
Node* next;
};
Node* getNode(int data) {
Node* new_node = new Node;
new_node->data = data;
new_node->next = NULL;
return new_node;
}
Node* fractionalNodes(Node* start, int k) {
if (k <= 0 || start == NULL)
return NULL;
Node* fracPoint = NULL;
int i = 0;
for (Node* temp = start; temp != NULL; temp = temp->next) {
if (i % k == 0) {
if (fracPoint == NULL)
fracPoint = start;
else
fracPoint = fracPoint->next;
}
i++;
}
return fracPoint;
}
void printList(Node* node) {
while (node != NULL) {
cout << node->data << " ";
node = node->next;
}
cout << endl;
}
int main(void) {
Node* start = getNode(1);
start->next = getNode(2);
start->next->next = getNode(3);
start->next->next->next = getNode(4);
start->next->next->next->next = getNode(5);
int k = 2;
cout << "List is: ";
printList(start);
}
List is: 1 2 3 4 5
Fractional node is 3