Exercise 3 Is the following tree an AVL tree? Justify your answer by writing the balance of each node. 34 20 (22) 48 50 80 62 88 Exercise 4 Insert 46, 49, 37 into the tree from the previous exercise, rotate if necessary.

Q: Insert the following values into an initially empty red-black tree in the order given. Insert: 73,…

A: Solution:- In Red Black Tree(RBT), rules can be followed as:- Every node has a color either red or…

Q: In the following Tree structure, the two nodes C and E are:

A: Internal nodes

Q: Image Text a) What is the number of nodes with 0 child: Answer must be a numeric value. b) What is…

A: NOTE: We are authorized to answer only the first three questions at a time when multi-part questions…

Q: 4. Draw the binary search tree whose root node is the 7th and 8th digit of your id i.e. ID:…

A: Here is the c++ problem of above problem. See below steps for code and output.

Q: Given these codes: 40, 12, 62,10, 15, 54, 85,105 a. Create a balanced binary tree from these nodes.…

A:

Q: Show all the steps in creating a Red-Black tree by inserting the following sequentialy, 25, 33,…

A: Steps: Insert the node similarly to that in a binary tree and assign a red colour to it. Now, if…

Q: O Consider the following binary tree. Write out the list of nodes for the preorder and postorder…

A: Preorder Traversal: In preorder traversal, the root node is visited first, followed by recursively…

Q: Node 84 is to be removed from the above BST Tree. The first step is to find the rightmost node of 84

A: Here in this question we have given a BST and we have asked to remove node 84 from the BST and also…

Q: Q2-A:- Visit the binary tree using Preorder and Postorder techniques. Then determine the type of…

A: Preorder Traversal-1,2,4,5,9,10,6,3,7,11,8 Preorder traversal means Root-Left-Right.

Q: Question 4: Rebalance the following AVL Tree using appropriate Rotation technique. Write the steps…

A: INTRODUCTIONAVL Trees are a type of self-balancing binary search tree. They were named after their…

Q: If you convert a node from a (2,4)-tree into a little Red-black subtree, how many black nodes will…

A: Converting (2,4) tree into red -black tree how many black node it will have  Converting (2,4) tree…

Q: Insert the following values into an initially empty red-black tree in the order given. Insert:…

A: According to the information given:- We have to follow the instruction in order to perform side by…

Q: horder traversal of a tree is WIKRPLJDF nd Postorder traversal is W KRPTDJFL he preorder traversal…

A: in preorder concept is travlling is root left right

Q: Insert these numbers into a red black tree

A: In this question we will implement red and black tree using C++ to insert these given set of numbers…

Q: 1. Create a new balanced tree using the following sequence of values. Draw the tree at each step,…

A: Balenced Tree: A balanced binary search tree is a tree that automatically keeps its height small…

Q: Suppose you insert elements 41, 38, 31, 12, 11, 50, 55 and 22 (one by one) in an original empty BST…

A: The right answer will be option(a)  Tree 1 Explanation:- In the binary search tree, we pick one be…

Q: Question 2) Build a binary search tree by adding the following nodes to the tree in the order they…

A: A binary search tree is a special kind of tree data structure in which each node can have almost 2…

Q: (a)Draw updated AVL tree after deletion of 20? Draw each rotation. Insert Node 130 after step (a),…

A:

Q: The size value of various nodes in a weight balanced tree are leaf – zero internal node – size of…

A: Weight of any node is the size of its two children. Let n be a node. Size of node n is:…

Q: • Write a program that should create BST from following data: 40, 10, 65, 25, 90, 5, 34 a) What will…

A: C++ programming language is an object-oriented programming language, that's a cross-platform…

Q: Create a SINGLE, binary search tree using the following three groups of input. For EACH of the three…

A: The answer for the given question is as follows.

Q: 8 - final question Given the following tree: 3 1 4. Write the node data when this tree is traversed…

A: The in order traversal of a tree is given by Leftnode -> root node -> right node.  Here we…

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: the correct insertion sequence of elements such that the following B+ tree is obtained? The order of…

A: Introduction. Given,  A B+ tree. We have to find the correct insertion sequence which will lead to…

Q: For the following tree, 4 5 8 11 12 17 18

A: Let us see the answer below,

Q: 17 65 84 94 98 Node 84 is to be removed from the above BST Tree. The first step is to find the…

A: Here in this question we have given a BST and we have asked to remove node 84 from the BST and also…

Q: Insert the following values into an initially empty Red-Black tree in the order given. Insert: 93,…

A: Answer is explained below

Q: a) What is the height of the tree? b) What node is the successor of node A? c) What node is the…

A: As per our company guidelines we are not supposed to answer more than 3 subparts of a question and…

Q: 36,12,54,6,62,42,72,48,39,40 Question 1: What node did you have to rotate around (which node was…

A: Input Values: 36, 12, 54, 6, 62, 42, 72, 48, 39, 40 Balance Factor: Height of Left SubTree - Height…

Q: 3. What tree results when you add the values 44, 88, 55, 77, 33, 99, 66, 22, 25 and 75 to each of…

A: Here in this question we have given some value and based on that key we have asked to draw BST.…

Q: Name the type of imbalance. Draw the tree results when you perform AVL rotation to restore its…

A: The type of imbalance is right imbalance tree

Q: Take the following tree: 13 24 26 60, 79, 70,69 60, 79, 70, 74, 75 O 60, 79, 81 30 43 60 69 70 74 75…

A: Here is your solution -

Q: Given the following tree: 3 4. Write the node data when this tree is traversed using postorder tree…

A: Write the node data when this tree is traversed using postorder tree walk. a. [3 5 1 2 4 6] b. [1 5…

Q: G D J B I R A L Y a. Root Node b. Leaf Node c. Inside Node d. F father e. E children f. Siblings g.…

A: Prefix: A prefix expression is obtained by Pre-order traversal on Binary tree and also known as…

Q: II. RANDOM BSTS AND AVL TREES (7) Using Random List 1 from the Final Exam Supplement, instantiate a…

A: Designed the random binary search tree using random list 1

Q: Exercise 3: Multi-way Trees A way to reduce the height of tree and ensure balance is to allow…

A: Solution- In the given solution , the B - tree insert one by one elements with maximum keys of 4 and…

Q: B) For the tree shown below. Traverse the tree using: a) Preorder traversal. b) Postorder traversal.…

A: In preorder traversal  1)Visit a root node 2)traverse the left sub tree until all leaf nodes are…

Q: Perform an insert of "43" and answer the following questions: Is this node a left child or right…

A: The given tree in the question is a Binary Search Tree. BST stands for Binary Search Tree, which is…

Q: Referring to tree 2 shown above: In which order would the nodes of the tree be visited by an…

A: Refer to step 2 for the answer.

Q: no P Answer the following questions for the tree shown above. Is the tree balanced? (answer y for…

A: To dеtеrminе if thе trее is balancеd, we can usе the following algorithm:Rеcursivеly chеck thе lеft…

Q: The following three are the traversal sequence for preorder, inorder and postorder of a binary tree.…

A: Below I have provided the solution to the given question.