In general, in an avl tree, worst case for finding (and inserting and deleting) data takes:   (a) O(1) (b) O(n) (c) O(n log n) (d) O(n2) (e) O(log n)

Q: Let X be the maximum possible height of A binary search tree with 54 nodes. Let Y be the maximum…

A: introduction :-

Q: Consider an input: 5, 3, 10, 7, 8, 4, 1, 13, 11, 2, 15, 16 Create a Binary Search Tree (Read the…

A: The anser is given below:

Q: Which of the following is incorrect with respect to binary trees? a) Let T be a binary tree. For…

A: Question. Which of the following is incorrect with respect to binary trees? Let T be a binary…

Q: Fill in the following alpha-beta tree. Circle all sub-trees that are cut off. МАX MIN МАХ 0 5 -3 10…

A: Given tree:

Q: The pre-order of a binary search tree 11, 5, 4, 6, 12, 13 Then the post-order of it is

A: The per-order of a binary search tree 11, 5, 4, 6, 12, 13 Then the post-order of it is A binary…

Q: Let T be a complete binary tree with n nodes.  What is the time efficiency of finding a path from…

A: The time complexity of DFS if the entire tree is traversed is O(n) where n is the number of nodes.

Q: Question 5 A complete n-ary tree is one in which each node has exactlyn children or none at all. In…

A:

Q: a) Draw updated AVL tree after insertion of 90? Draw each rotation Delete Node 80 after step (a),…

A: 90 has to be added at right of 80 and balance factor at root is now 2 and thus needs rotation

Q: The pre-order of a binary search tree 11, 5, 4, 6, 12, 13 Then the post-order of it is? О а. 4, 5,…

A: In the pre-order traversal, the order of traversing the binary tree is given as root node ->left…

Q: (a) What is the Big-O (worst-case) time complexity of a Binary Search Tree? (b) Draw a normal (not…

A: Answer to the above questions is in step2.

Q: A binary search tree contains values 7, 8, 13, 26, 35, 40, 70, 75. Which one of the following is a…

A: A binary search tree contains values 7, 8, 13, 26, 35, 40, 70, 75. Which one of the following is a…

Q: ) What are the best, worst, and average case runtimes for finding the smallest element in an…

A: (a) Best case time complexity is O(nlog(n)) and O(1) for case smallest element == 1 average case…

Q: Which statement is true about a B-tree having order > = t with height h and n nodes, assuming that…

A: Introduction :Given , two statements related to B trees ,we have to find which one of them is…

Q: Discuss a simple rule to identify these keys. What is the output of a BFS traversal in a normal…

A: The properties of a Binary Search Tree (or BST) The left subtree of a node must contain the nodes…

Q: Given is the B+-tree shown below (n = 3). Execute the following operations and write down the…

A: Initial Stage:

Q: Suppose we have an AVL tree of height h storing n entries. Mark all of the following statements as…

A: An AVL Tree is a type of tree which check whether the left and right subtree doesn't have a…

Q: Given the sequence of numbers 1 through 15, what would be the order of insertion of these numbers…

A: Worst Search Order: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Best Search Order: 8 4 2 1 3 6 5 7 12 10 9…

Q: Construct a balancing tree for the given key values: 5, 7, 8, 10, 12, 14, 15, 16, 17 with the node…

A: A balanced tree  is defined as binary tree in when the difference between the height of the left…

Q: consider the following almost sorted list: L=1, 2, 4, 6, 5,8, 10, 13, 12, 15 a.construct a binary…

A: Constructed binary search tree for the given keys and comparisons are needed for searching a key in…

Q: Given: MIN-MAX Tree. Using the Alpha-Beta Pruning in the given MIN-MAX Tree below, how many branches…

A: import java.io.*; public class GFG { // Initial values of// Alpha and Betastatic int MAX =…

Q: If the numbers 10, 2, 4, 15, 13, 18, 1 are inserted into an empty binary search tree(BST) in this…

A: Binary tree for 10,2,4,15,13,18,1 is:

Q: Worst case of Search time complexity in AVL Tree is                              O (log2 n) b.…

A: AVL tree is a binary search tree with an additional property that the difference between the height…

Q: a. Consider the following (2, 4) tree: (2, 4) Tree 4 3 6 10 What is the sequence of keys encountered…

A: Here in this question we have given a 2 4 tree and we have asked to find out the sequence for…

Q: Draw a kd tree from the following dataset. Draw the regions also. (30, 11), (27, 28), (29, 16), (40,…

A: Note: since your question contain multiple question but we are allowed to answer only one question…

Q: What is the maximum height of an AVL tree with p nodes? Select one: a.log(p)/2 b.log(p) c.P d.p / 2

A: AVL tree is a  self balancing binary search tree. It was the first self balancing invention in data…

Q: The pre-order of a binary search tree 11, 5, 4, 6, 12, 13 Then the post-order of it is O a. 4, 6, 5,…

A: Traverse the left sub-tree Traverse the right sub-tree visit the root

Q: Consider a B-Tree with order as 3. Which of the following will be the correct B-tree for the given…

A: Introduction : GivenKeys 12,13,7,16,19,20,25,3,6we have to insert them in an empty 13-tree of order…

Q: Suppose you have to create a B+-tree index on a large number of names, where the maximum size of a…

A: In the given case, there are two problems. Names can vary in duration from the first prob-lem. The…

Q: (d) Given the distances between locations in the following table, determine a minimum spanning tree…

A: - We need to find the MST connecting all the locations.

Q: Pre-order traversal is also called______.…

A: Task :- choose the correct options for given question related to binary tree.

Q: Given the following keys T, Y, V, Q, F, B, M. N, W, G, C, A, P, R, L. Build a B+-tree of order 4…

A:

Q: This exercise is about drawing BSTs. You are asked to: Show the result of inserting 3, 1, 4, 6, 9,…

A: This exercise is about drawing BSTs. You are asked to: Show the result of inserting 3, 1, 4, 6, 9,…

Q: QUESTION 4 Given the following Binary Search Tree, if 11 and 19 are removed, the preorder of the…

A: In this question, we are going to first delete node 11 and node 19 and then find out the preorder of…

Q: Find the Big-O time complexity for the following: -Inserting an element in an (unbalanced) binary…

A: Summary:In this question, we need to find the big O time complexity for the given problem and find…

Q: À sequence of data with size N is to be inserted into a 2-3 tree with the number of tree nodes of…

A: about 2-3 tree

Q: (b) Show the results of inserting the keys В, R, A, U, H, S, F, T, K, Р, М, L, N, W, Q in order into…

A: A B-tree is a tree data structure that keeps data sorted and allows searches, insertions and…

Q: Draw a binary search tree and AVL tree from the following traversals: {15, 5, 20, 70, 3, 10, 60,…

A:

Q: Worst case height is LogN with all nodes are 2-nodes O For a million nodes height will be between 12…

A: Which of the following is true for 2-3 trees? (select all that apply) a) worst case height is LogN…

Q: The number of leaves in the full complete binary tree of height L is a. (2L+1 )/2 +1 b. (2L+1 )/2…

A: A complete binary tree of height L has  2L  leaves , here option b) (2L+1 )/2 = (2L * 2)/2  = 2L is…

Q: Consider a B-tree with a node size of 8, a 50% fill rate, and a total number of records to be added…

A: The Answer

Q: Given the following Binary Search Tree, perform a pre-order, in-order and post-order traversals on…

A: Pre-Order: 69, 48, 30, 23, 35, 58, 57, 63, 77, 75, 84, 81, 82 In-Order: 23, 30, 35, 48, 57, 58, 63,…

Q: Let’s say that you further split the left partition on a1 = 1.5, 4.5. You get the following tree on…

A: Step 1  Gini Index is calculated by subtracting the sum of the squared probabilities of each class…

Q: 1. Write the result of performing in-order traversal on the following binary tree: 2 3 4 H 5 6 7 8 9…

A:

Q: a. Given the definition of a binary tree, Insert, into an empty binary search tree, entries with…

A: Binary Tree The Binary tree means that the node can have maximum two children. Here, binary name…

Q: Which of the following is the CORRECT characteristic of an AVL tree? Select one: a.Maintains the…

A: Given: To choose the correct option.

Q: A binary search tree contains values 7, 8, 13, 26, 35, 40, 70, 75. Which one of the following is a…

A:

Q: 33. Which of the following is incorrect with respect to binary trees? a) Let T be a binary tree.…

A: d) Let T be a binary tree with N nodes. Then the number of levels is at least floor(log (N + 1)) is…

Q: Suppose the maximum time a 5-ary tree of height 3 having 20 elements takes to search for an element…

A:

Q: For the following binary search tree, what could be a level-order traversal sequence after deleting…

A: Question 16 : Level order traversal of a tree is breadth first traversal for the tree.    Level…

Q: What maximum difference in heights between the leafs of a AVL tree is possible? *       a) log(n)…

A: We consider the fibonacci tree (TAOCP3,  Knuth98,) and compute the maximal height difference in it.…