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Reverse Nodes in Even Length Groups

Understand how to manipulate linked lists in-place by reversing nodes within groups that have even lengths. Explore the pattern of grouping nodes by natural numbers and practice efficient algorithms for memory-optimized linked list operations.

Statement

Given the head of a linked list, the nodes in it are assigned to each group in a sequential manner. The length of these groups follows the sequence of natural numbers. Natural numbers are positive whole numbers denoted by (1,2,3,4...)(1,2,3,4...).

In other words:

  • The 1st1^{st} node is assigned to the first group.

  • The 2nd2^{nd} and 3rd3^{rd} nodes are assigned to the second group.

  • The 4th4^{th}, 5th5^{th}, and 6th6^{th} nodes are assigned to the third group, and so on.

Your task is to reverse the nodes in each group with an even number of nodes and return the head of the modified linked list.

Note: The length of the last group may be less than or equal to 1 + the length of the second to the last group.

Constraints:

  • 1 \leq Number of nodes \leq 500
  • 0 \leq Node.value \leq 10310^{3}

Examples

You can understand the problem a little better with the help of the illustration below:

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps us to check if you’re solving the correct problem:

Reverse Nodes in Even Length Groups

1.

What is the output if the following linked list is provided as input?

4 → 3 → 0 → 5 → 1 → 2 → 7 → 8 → 6

A.

3 → 4 → 2 → 1 → 5 → 0 → 7 → 8 → 6

B.

3 → 4 → 5 → 0 → 2 → 1 → 8 → 7 → 6

C.

4 → 0 → 3 → 5 → 1 → 2 → 8 → 7 → 6

D.

4 → 0 → 3 → 5 → 1 → 2 → 7 → 8 → 6


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Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Reverse Nodes in Even Length Groups

1
2
3
4
5
6

Try it yourself

Implement your solution in the following coding playground.

Python
usercode > main.py
# Definition for a Linked List node
# class ListNode:
# def __init__(self, val=0, next=None):
# self.val = val
# self.next = next
from ds_v1.LinkedList.LinkedList import ListNode
def reverse_even_length_groups(head):
# Replace this placeholder return statement with your code
return head
Reverse Nodes in Even Length Groups