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:
- Reverse the first group: 3 -> 2 -> 1 ->
- Recursively reverse the next group: 6 -> 5 -> 4 ->
- 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/.