Exam2Review

Starting from an empty tree, perform the following insert operations into an AVL tree and answer the questions that follow (Q4-7). For AVL trees, make sure to check for balance after each operation and rotate if necessary before answering the question. Insert 41, 27, 10, 53, 25, 18, 32, 3, 36, 28, 30 Q4. After all operations, how many times did you have to rebalance the tree? Q5. After all operations, what is the weight of the tree? Q6. After all operations, what is the degree of node 41?

A) Insert node 55 into the tree, and draw the tree after inserting 55. B) After the insertion of 55, is the tree balanced? If no, re-balance the tree; if yes, justify your answer. Please show both part A and B

In a B+-tree, there can be at most 4 search-key values in each node. Assume that the height of the B+-tree is 2. The height of the tree is the length of the path from the root to a leaf node.  a. What is the maximum number of leaf nodes this tree can have? b. Let N1 be a node in the tree. N1 is neither a leaf nor a root. What is the minimum number of children that N1 can have?

Perform the necessary rotation/s to form an AVL tree.   Fill in the blank spaces in the following statement based on the resulting AVL tree. (A NULL node can be indicated by the symbol 0 (ZERO).) The right child of node F is node  Blank 1. Fill in the blank, read surrounding text. . The right child of node H is node

is this true or false? every node that avl tree has is will have the height of the left and right sub trees differ by at most 1.

You have a B-tree containing 99999 (approximately 100000) keys and with a minimum degree t=10. What is the maximum B-tree height. Hint: if minimum degree is t, then there are at least t-1 and at most 2t-1 keys in a node.

Given 8 red nodes, design a red-black tree with (a) minimum height 4 (b) maximum height o.

Suppose MINIMUM is 200 for a B-tree, what is the minimum number of children that a nonleaf, nonroot node may have? Group of answer choices The minimum number of children that a nonleaf, nonroot node may have is 200, although during a removal we may temporarily have a node with 201 children. The minimum number of children that a nonleaf, nonroot node may have is 101, although during a removal we may temporarily have a node with 100 children. The minimum number of children that a nonleaf, nonroot node may have is 201, although during a removal we may temporarily have a node with 200 children. The minimum number of children that a nonleaf, nonroot node may have is 199, although during a removal we may temporarily have a node with 200 children. The minimum number of children that a nonleaf, nonroot node may have is 200, although during a removal we may temporarily have a node with 199 children.

In a B+-tree, there can be at most 4 search-key values in each node. Assume that the height of the B+-tree is 2. The height of the tree is the length of the path from the root to a leaf node.                              What is the maximum number of leaf nodes this tree can have?

Insert the following numbers from left to right into an initial empty BTree with degree 5. Print inorder of the BTree as well as the final tree level by level. Please show contents of every node within a ( ). →80, 150, 180, 100, 40, 20, 40, 30, 170, 70, 10, 110, 160, 200, 120, 130, 190, 90, 50,  60

Given the following AVL tree, if node 83 is deleted, how many rotations are needed to obtain an AVL tree again? Draw the tree after each rotation.

given a BST, you’re asked to remove a node from it. You need to show the tree after removal of the node. How to do this, with explanation to help me prepare

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

Trace the construction of the AVL tree that results. Show the trees and the BFs for each node. Box in the final answer.99, 88, 77, 66, 55, 44, 33, 22, 11

PLease do A,B, and C Given the following tree: A.Is the tree balanced? If not, where is the tree out of balance? B.Is it a BST? If not, where is the violation of the search tree order? C.Show the order the nodes will be visited in a preorder, inorder, and postorder traversal. Be sure to clearly indicate which traversal is which.

Suppose you insert elements 41, 38, 31, 12, 11, 50, 55 and 22 (one by one) in an original empty BST tree. Indicate if any of the four alternative trees shown in the figure below is the resulting correct BST tree and if so, indicate which. Correct answer is: None of the trees are correct. Tree 1 Tree 3 Tree 4 Tree 2

Insert the following values into an initially empty red-black tree in the order given. Insert: 73, 35, 68, 94, 26, 29, 16, 44, 38, 81, 59, 61 show side by side the RBT and 2 - 3 - 4 tree.

Draw the BST where the data value at each node is an integer and the values are entered in the following order: 36, 22, 10, 44, 42, 60, 50, 70, 80, 85, 75, 55, 45 (a) (d) What is the height of the tree of part (a)? Draw the BST on the following data 40, 30, 50, 20, 35, 45, 60, 25, 33, 42, 65. Now draw its mirror image (e) BST Mirror of BST (f) Display the tree constructed in (e) using Breadth First Scarch or level order traversal. i.e. the BFS of above tree is given as a. 5 3 7 1 4 8 (g) Given the In-Order {10 20 25 30 40 45 60} and Pre-Order (40 20 10 30 25 60 45}. Draw the original BST. Search yourself. (h) Given the In-Order {10 20 25 30 40 45 60} and Post-Order {10 25 30 20 45 60 40}. Draw the original BST. Search yourself.

Construct a Huffman tree for the given eight leaf nodes {a, b, c, d, e, f, g, h} with weights of 5, 7, 18, 3, 24, 9, 13, 10} respectively. Please draw the Huffman tree and show the Huffman code for each node. 5 18 a 7 b 3 P 24 D 9 f 13 g 10 h

Postorder: 7  6  8  5  2  9  4  10  3  1 Inorder:      6  7  2  5  8  1  4  9  3  10   After drawing the tree, at what level does node 10 belongs? (Numeric Answer ONLY)

Postorder: 7  6  8  5  2  9  4  10  3  1 Inorder:      6  7  2  5  8  1  4  9  3  10   After drawing the tree, what/who is the parent node of node 8? (Numeric Answer ONLY)

Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You are given a tree — associated undirected chart without cycles. One vertex of the tree is exceptional, and you need to track down which one. You can pose inquiries in the accompanying structure: given an edge of the tree, which endpoint is nearer to the uncommon vertex, which means which endpoint's most brief way to the extraordinary vertex contains less edges. You need to track down the uncommon vertex by posing the base number of inquiries in the most pessimistic scenario for a given tree.    If it's not too much trouble, note that the exceptional vertex probably won't be fixed by the interactor ahead of time: it may change the vertex to some other one, with the prerequisite of being steady with the recently offered responses.    Input    You are given an integer n (2≤n≤100) — the number of vertices in a tree.    The folloiwing n−1 lines contain two integers every, u and v…

Create an AVL tree out of the following sequence of numbers, then answer the following question.

Correct and detailed answer will be Upvoted else downvoted. Thank you!

If you convert a node from a (2,4)-tree into a little Red-black subtree, how many black nodes will it have? If the height of a (2,4)-tree containing n items is h, and you convert it to a Red-black tree, what will its height be? On Oh O2*n O2*h OBetween n and 2*n Between h and 2*h If the height of a (2,4)-tree containing n items is h, and you convert it to a Red-black tree, what will its black-height be? On Oh O2*n O2*h OBetween n and 2*n Between h and 2*h

Suppose that in a binary tree (not binary search tree), if the value of a node is greater than at least one of its children, then it is considered a "power node. For example, in the following tree, nodes 25 is a power node because is greater than both children 16 and 9. Similarly, node 16 is also a power node as it is greater than the left child 12. Other power nodes include 24 and 17. Consequently, in this tree, there are four power nodes. 25 16 IN 12 24 17 28 16 23 31 10 Complete the non-recursive method count PowerNodes, which takes a TreeNode parameter node (a reference to a node in a binary tree) and retums the number of power nodes in the tree rooted at node. If node is null or there are no power nodes, the method returns 0. public class TreeNode private int m info; private TreeNode m left; private TreeNode m right; public int getInfo() (return m info;H public void setinfo(int valae 1 im info- inferR public TreeNode getLeft() return m left:} public void setleft(TreeNade left) {m…

Postorder: 7  6  8  5  2  9  4  10  3  1 Inorder:      6  7  2  5  8  1  4  9  3  10 After drawing the tree, how many is/are the terminal node(s)? (Numeric Answer ONLY)

Use the following AVL tree to answer the following questions: 3 points Save Answer 50 25 75 10 30 60 80 15 27 55 Click HERE to display the tree if it does not show, (a) Which is the deepest unbalanced node after deleting key 80, but before re-balancing, and what is its balance factor? (b) After the deletion, 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 breadth-first order in the following format. en. After Left/Right rotation: e1, e2, e3, ..., hp

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Insert the following elements in an empty AVL tree one by one: 14,17,11,7,53,4,13. Balance the tree after each insertion. Then delete the elements: 53, 11 and balance it.  Write the algorithm for this insertion and delete operations.

Consider a binary tree. The POSTORDER traversal of the tree is 19, 12, 26, 31, 23, 49, 57, 63, 58, 54, 35 and the INORDER traversal 12, 19, 23, 26, 31, 35, 49, 54, 57, 58, 63. If the height of the root node is 0 then what is the height of the binary tree?

7 Consider the following AVL tree; after inserting (33) what would be the right child of the node (30) 40 30 50 20 35 33 50 40