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September 27, 2024 |30 Views

Reverse a linked list in groups of size k in JS

Description
Discussion

Reverse a Linked List in Groups of Size k | JavaScript Guide

The problem of reversing a linked list in groups of size k is a common one in coding interviews. The goal is to reverse the nodes of a linked list k at a time and return the modified list. If the number of nodes is not a multiple of k, the remaining nodes should remain as they are.

Problem Definition

Given a linked list, you are asked to reverse the nodes in groups of size k. If there are fewer than k nodes left at the end, they should not be reversed.

For example:

  • Input: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> NULL and k = 3
  • Output: 3 -> 2 -> 1 -> 6 -> 5 -> 4 -> 7 -> 8 -> NULL

Approach to Solve the Problem

Traversing the Linked List:

  • Traverse the linked list and reverse k nodes at a time.

Reversing in Groups:

  • Reverse the first k nodes and then recursively process the rest of the list. Connect the reversed portion to the result of the recursive call.

Handling Remaining Nodes:

  • If the number of nodes left is less than k, they should not be reversed and remain in the same order.

Steps to Implement

Count Nodes:

  • First, count the number of nodes in the list to determine when to stop the reversal.

Reverse k Nodes:

  • Reverse the first k nodes and store the next node. After reversing the first k nodes, connect the last node of the reversed portion to the next group of k nodes.

Recursive Solution:

  • After reversing the first k nodes, recursively call the function for the next portion of the linked list and attach it to the reversed group.

Example of Approach

For a linked list like:
1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> NULL and k = 3:

  1. Reverse the first group: 3 -> 2 -> 1 ->
  2. Recursively reverse the next group: 6 -> 5 -> 4 ->
  3. Attach the last group as-is if less than k: 7 -> 8 ->

Final result:
3 -> 2 -> 1 -> 6 -> 5 -> 4 -> 7 -> 8 -> NULL

Time Complexity

  • O(n) where n is the number of nodes in the linked list. Each node is visited at least once during the reversal process.

Why This Problem Is Important?

Learning how to reverse a linked list in groups of size k helps in understanding important concepts such as recursion, linked list manipulation, and in-place reversals. It also improves problem-solving skills by using recursion efficiently.

For more details on linked list manipulations like detecting loops, check out the full article on GeeksforGeeks: https://www.geeksforgeeks.org/detect-loop-in-a-linked-list/.