Allocate Node
The new node is prepared before any existing link is changed.
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Insertion in a doubly linked list updates both forward and backward links so neighbors remain reachable from either direction.
The new node is prepared before any existing link is changed.
Traversal stops at the predecessor when inserting in the middle.
Connect the new node forward first, then connect the predecessor to it.
Empty list, head insertion, and tail insertion each adjust different pointers.