Solution: Delete N Nodes After M Nodes of a Linked List

Explore an in-place method to manipulate linked lists by deleting specific nodes after retaining others. Understand how to traverse and modify nodes alternately to solve this problem efficiently while maintaining O(n) time and O(1) space complexity.

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Statement
Solution
- Time complexity
- Space complexity

Statement

Given the head of a linked list and two integers, m and n, remove some specific nodes from the list and return the head of the modified, linked list. The list should be traversed, and nodes removed as follows:

Start with the head node and set it as the current node.
Traverse the next m nodes from the current node without deleting them.
Traverse the next n nodes and delete them.
Repeat steps 2 and 3 above until the end of the linked list is reached.

Constraints:

$1 \leq$ Node $\leq 10^3$ ...