Given the head of a singly linked list, rearrange the nodes so that all nodes at odd indexes appear first, followed by all nodes at even indexes.

• The first node in the list is considered at odd index 1, the second at even index 2, and so on.

• Within the odd group and the even group, the relative order of the nodes must remain the same as in the original list.

Return the head of the reordered linked list.

Note: You must solve the problem in $O(1)$ extra space complexity and $O(n)$ time complexity.

Constraints:

• The number of nodes in the linked list is in the range $[0, 10^3]$.

• $-10^3 \leq$ Node.val $\leq 10^3$

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

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

Implement your solution in the following coding playground.