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Exercise 10 in Chapter 4 introduced the doubly linked chain. The analogy for a binary search tree is to maintain parent pointers in each binary node in addition to the pointers to the node's children. That is, every node except the root will have a pointer to its parent in the tree. This type of binary tree is called a doubly linked binary tree . Write insertion and removal operations for this tree.

Chapter 4 Exercise 10:

In a doubly linked chain, each node can point to the previous node as well as to the next node. Figure 4-9 shows a doubly linked chain and its head pointer. Define a class to represent a node in a doubly linked chain.

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