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A binary tree with only one node has a height of 1. Questions: 1. At most how many and at least how many nodes can a binary tree of height 2016 have? Justify your answers. 2. Write a function Height(t) that, given a treet, returns its height. 3. Peter wants to check if a binary search treet is an AVL tree. Write a function ISAVL(t) that takes a binary search tree t as input and returns TRUE if the tree is an AVL tree (balanced) and FALSE otherwise.

A binary tree with only one node has a height of 1. Questions: 1. At most how many and at least how many nodes can a binary tree of height 2016 have? Justify your answers. 2. Write a function Height(t) that, given a treet, returns its height. 3. Peter wants to check if a binary search treet is an AVL tree. Write a function ISAVL(t) that takes a binary search tree t as input and returns TRUE if the tree is an AVL tree (balanced) and FALSE otherwise.

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C++ Programming: From Problem Analysis to Program Design

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN: 9781337102087

Author: D. S. Malik

Publisher: Cengage Learning

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Transcribed Image Text:A binary tree with only one node has a height of 1. Questions: 1. At most how many and at least how many nodes can a binary tree of height 2016 have? Justify your answers. 2. Write a function Height(t) that, given a treet, returns its height. 3. Peter wants to check if a binary search treet is an AVL tree. Write a function ISAVL(t) that takes a binary search tree t as input and returns TRUE if the tree is an AVL tree (balanced) and FALSE otherwise.

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