Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Expert Solution & Answer
Chapter 26.8, Problem 26.8.2CP
Explanation of Solution
Explanation:
- The balance factor is the difference between the heights of right sub tree and left sub tree.
- A node termed as balanced if the balanced factor related to that node is -1 or 0 or +1.
- A node in the AVL tree is termed as left heavy if its balance factor results -1...
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Students have asked these similar questions
Draw a BST. Then write preorder, in-order and level ordertraversal. Also mention the height of the tree.
Insert 50, 45, 89, 60, 35, 8,68, 55, 4 and 76.
Draw a BST. Then write preorder, in-order and level order traversal. Also mention the height of the tree.
Insert 15, 20, 25, 18, 16, 5, 30, 47 and 7.
Insert 78, 45, 33, 89, 45, 20, 90, 100 and 8.
Insert elements 41, 38, 31, 12, 11, 50, 55 and 22 (one by one) into an original empty BST tree.
Below are a number of statements about the resulting tree. Indicate which of these is correct:
A. The sequence of the elements according to "in order" is 11, 12, 22, 31, 38, 41, 50, 55
B. The sequence of the elements according to "preorder" is 41, 38, 31, 12, 11, 22, 50, 55
C. The sequence of the elements according to "preorder" is 11, 22, 12, 31, 38, 55, 50, 41
D. The sequence of the elements according to "mail order" is 11, 22, 12, 31, 38, 55, 50, 41
Correct answer is:
Only statement A is correct.
Only statements A and D are correct.
Only statements A and C are correct.
Only statements A, B and D are correct.
Only statements A, C and D are correct.
Chapter 26 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 26.2 - Prob. 26.2.1CPCh. 26.2 - Prob. 26.2.2CPCh. 26.2 - Prob. 26.2.3CPCh. 26.3 - Prob. 26.3.1CPCh. 26.3 - Prob. 26.3.2CPCh. 26.3 - Prob. 26.3.3CPCh. 26.4 - Prob. 26.4.1CPCh. 26.4 - Prob. 26.4.2CPCh. 26.4 - Prob. 26.4.3CPCh. 26.4 - Prob. 26.4.4CP
Ch. 26.5 - Use Listing 26.2 as a template to describe the...Ch. 26.6 - Prob. 26.6.1CPCh. 26.6 - Prob. 26.6.2CPCh. 26.6 - Prob. 26.6.3CPCh. 26.6 - Prob. 26.6.4CPCh. 26.7 - Prob. 26.7.1CPCh. 26.7 - Prob. 26.7.2CPCh. 26.7 - Prob. 26.7.3CPCh. 26.7 - Prob. 26.7.4CPCh. 26.8 - Prob. 26.8.1CPCh. 26.8 - Prob. 26.8.2CPCh. 26.8 - Prob. 26.8.3CPCh. 26.9 - Prob. 26.9.1CPCh. 26.9 - Prob. 26.9.2CPCh. 26.9 - Prob. 26.9.3CPCh. 26 - Prob. 26.5PE
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Similar questions
- 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.arrow_forwardList all the sub-trees.arrow_forwardUse the tree from your assignment 5. Show your solutions. Perform the following operation on the AVL Tree separately. 2. Remove 50. 37 25 50 13arrow_forward
- Consider the following B+ tree. Draw the final B+ tree after deleting 50, 24, 65, 93, 75 (in the given order).arrow_forwardInsert 1,2,3,4,5,6,7,8,9 into an empty AVL tree and describe it by filling up the blanks. • 1's new left child • 2's new left child • 3's new left child • 4's new left child • 5's new left child • 6's new left child • 7's new left child • 8's new left child • 9's new left child 2 1's new right child , 2's new right child 3's new right child , 4's new right child 5's new right child 6's new right child , 7's new right child 8's new right child 9's new right child "arrow_forwardExamine a traversal of a binary tree. Let's say that visiting a node means to display the data in the node. What are the result of each of the following traversals of the tree included? It is preorder, postorder, inorder or level order?arrow_forward
- For the following tree, what is the postoder traversal and preorder traversal?arrow_forwardCreate an implementation of a binary tree using the recursive approach introduced in the chapter. In this approach, each node is abinary tree. Thus a binary tree contains a reference to the elementstored at its root as well as references to its left and right subtrees.You may also want to include a reference to its parent.arrow_forwardFind the tree whose inorder and postorder traversals are given below- Inorder: U P W V X Y M S T Q RPostorder: U W Y X V P T S R Q M Also, traverse the tree in Preorder and level order.arrow_forward
- 11. The following keys are added to an AVL tree: 50, 25, 80, 35, 20, 3, 2, 17, 18, 37, 36. Now remove 35, 36, 50, 37. Print the nodes with preorder traversal. If needed, draw the AVL tree also for partial credit.arrow_forwardSuppose the nodes of a binary tree are unique and that you are given the order of elements as they are encountered in a preorder traversal and the order of the elements as they are encountered in a postorder traversal. Under what conditions can you accurately reconstruct the structure of the tree from these two traversal orders?arrow_forwardConsider the following red-black tree. You will insert the 7 in this tree and restore (if necessary) the red-black properties. 1 6 9 Show your work and describe the intermediate steps.arrow_forward
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