Use the given AVL tree to answer each of the following questions: (a)  Which is the deepest unbalanced node after inserting key 5, but before re-balancing, and what is its balance factor? (b)  After the insertion, perform all the necessary rotations required to re-balance the tree, and after each rotation,state the type of rotation done and list the keys of the resulting tree in the form:        After Left/Right rotation: e1, e2, e3, ...., en.

Q: Refer to the tree on the picture and answer the following questions 1. What rotation/s must be…

A: Using AVL tree balancing method for the given tree

Q: Fill in the blank spaces in the following statement based on the resulting AVL tree. (A NULL node…

A: AVL is a height balanced binary search tree in which all the nodes in the AVL contains the balancing…

Q: vided code:

A: Coded using Java.

Q: AVL tree

A: the deepest unbalanced node after inserting key 5, but before re-balancing, and its balance factor…

Q: How to make a java program that accepts id numbers ranging from 1 to 29? When the id numbers are…

A: Here we write java program to traverse the tree in inorder, preorder, and postorder of the nodes.…

Q: Insert the following elements in an empty AVL tree one by one: 14,17,11,7,53,4,13. Balance the tree…

A: Given elements: 14 17 11 7 53 4 13       Element to be delete: 53 11

Q: Question 15 8 pts The height of a tree is the length of the longest root-to- leaf path in the tree..…

A: The correct answers for the given question are as follows.

Q: Explain the deletion operation and its rules in the red-black tree. Please use your own words.

A: What is deletion? Deletion in red black tree is removing a node form the red black tree such that it…

Q: To deal with nonunique search keys, a new attribute was introduced to the search key. What effect…

A: Introduction   To deal with nonunique search keys, a new attribute was introduced to the search key.…

Q: For the following AVL Tree please answer the following questions   a. What values could you insert…

A: To cause a right-right imbalance in the given AVL tree, you would need to insert a larger value in…

Q: 1 PLEASE QUESTION 1: (a) Draw a binary search tree (BST) after the insertion of keys: 8, 3, 2, 1,…

A: Dear Student, The answer to your question is given below -

Q: 1. Given the following AVL tree. Insert the numbers in sequence (0, 3, 4 and 6) in the AVL tree.…

A: AVL tree is a self-balancing Binary Search Tree (BST) where the difference between heights of left…

Q: Which of the following can not be the number of nodes possible for an AVL tree of height 6? Note…

A: Introduction :Given an AVL tree, we have to find the number of nodes possible for an AVL tree of…

Q: Insert 48 into the following AVL tree and draw the results. Use the boxes to show the stages of your…

A:

Q: Consider the following red-black tree. You will insert the 7 in this tree and restore (if necessary)…

A: The red-Black tree is a binary search tree. Each node in the Red-black tree contains an extra bit…

Q: I really need help with this below, please. I need to draw four AVL tree, balancing as I add items…

A: In this exercise, the goal is to construct an AVL (Adelson-Velsky and Landis) tree by sequentially…

Q: Question 16 Consider the AVL Tree below. Use the AVL Tree Insertion algorithm to add 99 to the tree.…

A:

Q: Draw a BST. Then write preorder, in-order and level order traversal. Also mention the height of the…

A: BST  for Above :…

Q: If a data set has 10403 data observations, the maximum number of leaf nodes in a tree grown on that…

A: Introduction : Note: Answering the first question as per the guidelines. Given Data : Number of…

Q: Data Structure For the following Red Black Tree, Show the transformation of each of the following…

A: Show the transformation of each of the following operations: 11 22 25 30 55 58 60 Insert 23, Insert…

Q: Considering the following AVL tree: 15 10 40 5 12 25 45 42 50

A: AVL tree is a balanced binary search tree. Balanced means balance factor of each and every node in…

Q: After the 3 values: 30, 45, and 50 are inserted into an empty AVL tree, what action is needed to…

A: AVL Tree:- The definition of an AVL tree is a height-balanced binary search tree in which each node…

Q: 2. AVL Tree rotations: (a) Given the following AVL tree, if node 83 is deleted, how many rotations…

A: Given: AVL tree with a number of nodes. Goal: We have to find a number of rotations and final tree…

Q: Question 5: Rebalance the following AVL Tree using appropriate Rotation technique. Write the steps…

A: - We need to perform rotations on the AVL tree to rebalance the complete tree.

Q: Title of the project is TREE You are required to submit a report of 25 to 35 pages about tree. Q.…

A: Binary Search Tree  The binary search is an advanced algorithm used for analyzing the node, its left…

Q: I really need help with this below, please. I need to draw four AVL tree, balancing as I add items…

A: In this exercise, the goal is to construct an AVL (Adelson-Velsky and Landis) tree by sequentially…

Q: Insert , Delete , Search , Minimum , Rotate left , Rotate left-right , Rebalance

A: Answer is given below-

Q: The following key values are inserted into a B+ tree, where order of the internal node is 5 and…

A: Introduction :Given ,key-value pairs to be inserted in to a B+ tree.We have asked for the maximum…

Q: After the 3 values: 30, 45, and 40 are inserted into an empty AVL tree, what action is needed to…

A: Introduction of AVL Tree: A specific kind of binary search tree is an AVL tree. In addition to all…

Q: The order of an internal node in a B* tree index is the maximum number of children it can have.…

A: Introduction :Given , Child pointer = 6 Bytes Search field = 14 Bytes Block size = 512 Byte We have…

Q: After 3 values 30, 20, and 10 are inserted into an empty AVL tree, what action is needed to maintain…

A: AVL Tree follows property of BST , i.e. The node less than root must go to left of root and greater…

Q: What is the maximi

A: What is the maximum height of any AVL tree with 20 nodes?

Q: Question 13 Which of the following is NOT a property of a tree? A node must have two or more…

A: Not a property of a tree

Q: Given 8 red nodes, design a red-black tree with

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Q: pass # nothing to remove else if x.key root.item.key: root.right <- TREE-DELETE (root.right, x) #…

A: Answer: I have given answered in the handwritten format in brief explanation.

Q: In this exercise, the below numbers in the text box should be inserted into search trees. Write down…

A: Below I have provided the solution:

Q: Create AVL tree 10,5,8,7,6,9,12. The height of the generated tree is level 1) (root is @

A: Introduction :Given , Elements as - 10 , 5 , 8 , 7 , 6 , 9 , 12We have to calculate the height of…

Q: Identify imbalance and rebalance the following BST into an AVL tree. Assume the node with key 2 was…

A: Summary: In this question, we have given one BST (Binary Search Tree), that is not balanced…

Q: You are given a collection of 1,000,000,000 books that are already sorted. They are labeled Book1,…

A: In a binary search tree (BST), the lookup time is proportional to the height of the tree. When you…

Q: Draw a BST where keys are your student number. How many comparison operation you performed to insert…

A: