Consider the BiNode data structure, which contains references to two additional nodes. BiNode is a data structure that can represent both a binary tree (where node1 is the left node and node2 is the right node) and a doubly linked list (where node1 is the previous node and node2 is the next node). Create a method for converting a binary search tree (created using BiNode) into a doubly linked list. The values must be preserved in order, and the action must be done in situ (that is, on the original data structure).

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Binomial Heap

A binomial heap is a group of binomial trees. This data structure acts as a priority queue and implements the merge operation faster.