Given a singly linked list, Your task is to remove every K-th node of the linked list.

Examples:

Input : 1->2->3->4->5->6->7->8 k = 3 Output : 1->2->4->5->7->8 As 3 is the k-th node after its deletion list would be 1->2->4->5->6->7->8 And now 4 is the starting node then from it, 6 would be the k-th node. So no other kth node could be there.So, final list is: 1->2->4->5->7->8. Input: 1->2->3->4->5->6 k = 1 Output: Empty list All nodes need to be deleted

The idea is traverse the list from beginning and keep track of nodes visited after last deletion. Whenever count becomes k, delete current node and reset count as 0.

(1) Traverse list and do following (a) Count node before deletion. (b) If (count == k) that means current node is to be deleted. (i) Delete current node i.e. do // assign address of next node of // current node to the previous node // of the current node. prev->next = ptr->next i.e. (ii) Reset count as 0, i.e., do count = 0. (c) Update prev node if count != 0 and if count is 0 that means that node is a starting point. (d) Update ptr and continue until all k-th node gets deleted.

Below is C++ implementation.

// C++ program to delete every k-th Node of // a singly linked list. #include<iostream> using namespace std; /* Linked list Node */ struct Node { int data; struct Node* next; }; // To remove complete list (Needed for // case when k is 1) void freeList(Node *node) { while (node != NULL) { Node *next = node->next; delete (node); node = next; } } // Deletes every k-th node and returns head // of modified list. Node *deleteKthNode(struct Node *head, int k) { // If linked list is empty if (head == NULL) return NULL; if (k == 1) { freeList(head); return NULL; } // Initialize ptr and prev before starting // traversal. struct Node *ptr = head, *prev = NULL; // Traverse list and delete every k-th node int count = 0; while (ptr != NULL) { // increment Node count count++; // check if count is equal to k // if yes, then delete current Node if (k == count) { // put the next of current Node in // the next of previous Node delete(prev->next); prev->next = ptr->next; // set count = 0 to reach further // k-th Node count = 0; } // update prev if count is not 0 if (count != 0) prev = ptr; ptr = prev->next; } return head; } /* Function to print linked list */ void displayList(struct Node *head) { struct Node *temp = head; while (temp != NULL) { cout<<temp->data<<" "; temp = temp->next; } } // Utility function to create a new node. struct Node *newNode(int x) { Node *temp = new Node; temp->data = x; temp->next = NULL; return temp; } /* Driver program to test count function*/ int main() { /* Start with the empty list */ struct 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); head->next->next->next->next->next = newNode(6); head->next->next->next->next->next->next = newNode(7); head->next->next->next->next->next->next->next = newNode(8); int k = 3; head = deleteKthNode(head, k); displayList(head); return 0; }

Output:

1 2 4 5 7 8

Time Complexity : O(n)

This article is contributed by **Sahil Chhabra**. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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