Question: Design algorithms for the following operations for a binary tree T: PreorderNext(p): Return the position visited after p in a preorder traversal of T

Design algorithms for the following operations for a binary tree T:

• PreorderNext(p): Return the position visited after p in a preorder traversal of T (or null if p is the last node visited).

• InorderNext(p): Return the position visited after p in an inorder traversal of T (or null if p is the last node visited).

• PostorderNext(p): Return the position visited after p in a postorder traversal of T (or null if p is the last node visited).

What are the worst-case running times of your algorithms?

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