Trees and Hashing Overview This assignment will cover that

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Trees and Hashing Overview: This assignment will cover that material on trees and hashing. 1. Trees Answer the following questions: (a) Draw a Adelson-Velskii and Landis (AVL) tree for the following nodes: 91, 73, 28, 39, 37, 58, 72, 86, 97, 46, 21, 64, 71, 36, 47 Hint: When you draw your tree, it must be an AVL tree instead of just a regular binary tree or a binary search tree (BST). There are a few ways that you can arrange the layout for this tree; however, remember data within the tree must follow the rules of an AVL tree. I recommend that you first draw the tree w/ links and empty nodes. Then sort the items in the list and place them in the appropriate places within the tree so that it forms an AVL tree. (b) Briefly explain: advantages of a binary tree in comparison to a linked list. 2. Hashing Provide solutions to the following problems: (a) Perform an Internet search and briefly discuss in a few paragraphs a computer related algorithm based on hashing. Provide an example with a diagram or table to help illustrate how the algorithm works. List your sources at the end of your paragraphs using APA format. (b) Briefly explain the purpose of quadratic probing and provide an example of a mathematical function used to implement it. Also, briefly explain the problem associated with quadratic probing in terms of the number of items within the hash table.

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