Let T be an empty (2, 4) tree. Draw all the steps (splitting, fusing, and transfer) and the resulting trees obtained by inserting 12,5,9,10,15,3,6,7 into T in the given order. What will be the right child of 10? О а. 12,15 O b. Empty right child О с. 12 O d. 15 O e. 9

Q: Let T be an empty (2, 4) tree. Draw all the steps (splitting, fusing, and transfer) and the…

A: i have given an detail answer in step 2.

Q: Exercise 4 Consider the B-tree which is a result of inserting 15,14,1,2,13,12,3,4,11,10,5,6,9, (in…

A: Nodes: 15, 14, 1, 2, 13, 12, 3, 4, 11, 10, 5, 6, 9

Q: Insert the following numbers to the AVL tree in the given order. 3,2,1,4,5,6,7,16,15,14,6 What are…

A: I have given an answer in step 2.

Q: A) Show the 2-3 tree that results if we insert into an empty set, represented as a 2-3 tree, the…

A: Insertion of elements into 2-3 trees : Insert new leaf in appropriate place.    Repeat until all…

Q: 6. Consider the following AVL Tree. 50 25 75 100 a) Insert the following values in the given AVL…

A: Insertion values of given AVL tree

Q: From the following sequence of numbers construct a 2-3 tree by inserting one element at a time, in…

A: Given data is shown below:

Q: Insert the following numbers to the AVL tree in the given order. Show your each step (all…

A: i have given an detail answer in step 2.

Q: First insert 11 and then insert 12 to the AVL tree 10 What are the children of 3 at the final tree…

A: Task :- Choose the correct option.

Q: 6. Consider the following AVL Tree. 50 25 75 100 a) Insert the following values in the given AVL…

A: Here we have to create AVL tree . Initial tree is given we have to insert elements into this tree…

Q: 4. Consider the B-tree T with m = 3 below. 10 30 20 40 60 7 15 25 33 37 45 50 61 62 a. Show the…

A: 4) a) Here, m is given as 3. which means, a node can have at most 3 children & can contain at…

Q: B. Consider the following three binary trees. (a) 22 38 35 31 20 25 (b) 35 21 38 18 24 37 39 17 23…

A: A binary search tree which is self balanced and in which the difference of heights of left subtree…

Q: Consider a B+ tree having 2 keys per node. a. Show the final B+ tree which shows the cumulative…

A: Given Data : Keys to insert :  10,20,5,10,50,55,60,30 Other keys to insert :…

Q: 8. Consider the following AVL tree; after deleting (15), what is the left child of the node 24? 20…

A:

Q: Consider the B-tree T with m = 3 below. 10 30 5 20 40 | 60 7 15 25 33 37 45 50 61 62 a. Show the…

A: I have given an answer in step 2.

Q: Draw a K-d tree for the following points inserted in this order (assume the root is an even level…

A: we use x coordiantes for the odd levels y coordiantes for even levels) (10, 10) (5, 5) (8, 4) (12,…

Q: a)Draw a red-black tree for the following values inserted in this order. Illustrate each operation…

A: Red-black tree Insert : 11 20 30 28 16 13 55 52 26 50 87

Q: Suppose you are given a red-black tree with seven nodes, all of which are black (the NIL leaves are…

A: Given:  A red-black tree with seven nodes in which all nodes are black. Now the largest number of…

Q: Consider a complete binary tree whose bottom level is completely filled.   1.If the height of this…

A: 1.If the height of this tree is h, what is the number n of nodes in this tree? Ans.  Minimum number…

Q: First insert 11 and then insert 12 to the AVL tree 10 What are the children of 3 at the final tree…

A: Answer is option B Children of 3 are 2,10

Q: First insert 11 and then insert 12 to the AVL tree 10 What are the children of 3 at the final tree…

A: Task :- Choose the correct option.

Q: Given an initially empty 2-3 tree, insert letters a, I, g, o, r, i, t, h, m, and s into the tree one…

A: We need to create a 2-3 tree of the letters a,l,g,o,r,i,t,h,m, and s. The comparison operation is…

Q: В. Consider the B+ tree index with n = 5 shown in the figure below. Root 50 73 18 32 40 1. 2. 5. 6.…

A: step: 1 of 9 • The objective is to describe about Consider the following B+ tree index of order d =…

Q: perform the following with a 4-way (m=4, max 4 children and 3 keys per node): 3.a Insert letters of…

A:

Q: Suppose an A.V.L Tree is constructed with the following set of identifiers: RI, PA, DE, GA, OH, MA,…

A: The Answer is

Q: 5. Using the B-tree of order 5 shown in below figure, delete 23, and show the resulting B-tree. 10…

A: Our task is to delete 23 First we found element position Then delete element Then adjust tree.

Q: Jack has a complete binary tree with depth DD and N=2D+1-1N=2D+1-1 nodes (numbered 11 through NN).…

A: Given:

Q: Create an AVL tree by using the below set of number step by step: {14, 20, 25, 13, 12, 18, 15} Then,…

A: Below figure shows the AVL tree second figure

Q: Construct AVL Trees by inserting keys 1, 2, …, (2^k)-1 in that order for k=2, 3, and 4. Observe the…

A: Below i have answered:

Q: Draw a KD Tree in the space below with these points inserted in the following order: (7,2), (6,4),…

A:

Q: Consider the following AVL tree; after deleting (15), what is the left child of the node 24? 20 15…

A:

Q: Draw the AVL Tree of the following. NOTE: Show the tree before and after rotations. G O L D S T A R…

A: The answer is in below steps:

Q: (c) Consider the following binary tree 40 (i) (ii) (iii) For the given tree in Q3(c). Find Show the…

A: Dear Student, as per Bartleby's policy, I'll answer the first three sub-parts of the given question,…

Q: Show all the possible steps that are required to solve the following questions 1.Find out the…

A:

Q: You are going to construct an 2-3 tree and a binary tree. A ) Into an initially empty 2-3 tree,…

A: Inserting in 2-3 tree: When we are inserting to a node with one data element, insertion is…

Q: Let T be a full binary tree with 55 internal nodes. What is the maximum and minimum heights it can…

A: d. ) 5 ,6

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: a) Consider the following binary search tree T 17 10 15 i. Redraw the tree after adding value 14 to…

A: i. Redraw the tree after adding value 14 to tree T:   ii. Redraw the tree after deleting value 8…

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

A: Binary Search Tree : BST ( Binary Search Tree) is a data structure in which a record is linked to…

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: Show the results of inserting the keys 23, 98, 55, 37, 30, 47, 35, 15, 10, 75, 3, 53, 1, 33, 5, 28,…

A:

Q: Consider the sequence of keys (5,16,22,45,2,10,18,30,50,12,1, 77, 66, 55). Draw the result of…

A: Answer :

Q: Problem 1. Insert the following set of keys {1, 7, 6, 8, 0, 5, 2, 12, 3, 18} in an empty red-black…

A: Given: Problem 1. Insert the following set of keys {1, 7, 6, 8, 0, 5, 2, 12, 3, 18} in an empty…

Q: . Draw the BST constructed by inserting the values [53, 25, 11, 63, 4, 88,59, 3, 15, 82, 92, 27, 55,…

A: Sol 1: Given elements: [53, 25, 11, 63, 4, 88, 59, 3, 15, 82, 92, 27, 55, 14]. Inserting elements in…

Q: Use any drawing appiication to show the steps of constructing a new red-black tree by performing a…

A: INTRODUCTION: Red Black Tree is a Binary Search Tree in which each node is colored either RED or…

Q: Jack has a complete binary tree with depth DD and N=2D+1-1N=2D+1-1 nodes (numbered 11 through NN).…

A: mode = 10**9 + 7for _ in range(int(input())):    d = int(input())    nodes = pow(2, d+1, mode) - 1…

Q: Show step by step how you will construct a binary search tree by inserting keys in the order 12, 6,…

A: In Binary search Tree, the elements lesser than parent node are inserted at left side and the…

Q: Show step by step how you will construct a binary search tree by inserting keys in the order 12, 6,…

A: Binary search tree is basically a binary tree in which the nodes in the left subtree contains keys…

Q: Find the in order tree traversal of the below tree from the following? 2 5 2 6. 9. 5 (11) 4 O a. 2 5…

A:

Q: Consider the following $\mathrm{B}^{+}$-Tree. Each internal node has room for 3 keys and 4 pointers.…

A:

Q: Find the post order tree traversal of the below tree from the following? 14 O a. 1 4 7 6 3 13 14 10…

A: Explanation: given tree is: 8,3,10,1,6,14,4,7,13   Post-order: 1 4 7 6 3 13 14 10 8 so option b,c,d…