What is a bitonic linked list?

When navigating through a biotonic doubly linked list to identify specific patterns or elements, a strategic approach is crucial. A practical method involves locating the pivotal point where the list transitions from increasing to decreasing. This can be achieved by scanning the list from start to end, paying close attention to the relationship between each node and its predecessor.

A biotonic doubly linked list is a unique data structure that exhibits a specific ordering property. It initially follows an increasing trend, transitioning seamlessly into a decreasing trend thereafter. This characteristic sets it apart from conventional doubly linked lists, which can be strictly increasing, strictly decreasing, or neither.

To understand the nature of a biotonic doubly linked list more intuitively, let's consider its behavior through examples. A list that begins by steadily growing in value and subsequently reverses course to steadily decrease in value is a prime example of a biotonic doubly linked list. Moreover, even lists that are strictly increasing or strictly decreasing can be considered biotonic, as they meet the criteria of being either entirely increasing or entirely decreasing.

Specifically, the task involves finding the first node in the list that breaks the increasing trend. In other words, we are searching for the first node whose value is smaller than the value of its immediate predecessor. Once this node, let's call it the "current" node, is identified, we have located the turning point of the biotonic pattern.

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