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Problem: Insert into a Sorted Circular Linked List

Learn to insert a node into a sorted circular linked list using C#. Understand how to handle edge cases such as empty lists, uniform node values, and wrap-around insertion while maintaining non-descending order. This lesson guides you through an efficient traversal-based solution to manage circular linked list updates.

Statement

You are given a node head of a sorted circular linked list, where the values are arranged in non‑descending order. The provided head reference may point to any node in the circular list and does not necessarily correspond to the node with the smallest value.

Write a function to insert a new node with the value insertVal into the list so that the circular list remains sorted in non‑descending order. If multiple valid insertion positions exist, you may choose any one of them.

If the list is empty (i.e., head is null), create a new single‑node circular list containing insertVal and return a reference to that node. Otherwise, return the originally given head node.

Note: The linked list is circular, meaning the last node’s next pointer connects back to the first node.

Constraints:

  • The number of nodes in the list is in the range [0,5×104 ...