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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Question
Chapter 26.6, Problem 26.6.1CP
Program Plan Intro
AVL tree: It is a self-balancing binary search tree. If the tree is not balanced, the tree performs rotation operation.
RR rotation: It is called as double Right rotation. The tree performs a single right rotation that is again followed by a single right rotation.
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Students have asked these similar questions
For the AVL Tree what values could you insert to cause a right-right imbalance and at which node does the imbalance occur?
Please show and explain based on the tree provided.
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)Draw updated AVL tree after deletion of 20? Draw each rotation.Insert Node 130 after step (a), then insert 125.
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
- For AVL tree in above, now what is the node X which causes the tree to be imbalanced with the alpha node at the root? Show inserting and balancing the tree. What type of imbalance is it?arrow_forwardDraw the tree step by step Delete From AVL tree for the following elements 9,8,12,15,18arrow_forwardPerform 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 nodearrow_forward
- 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.arrow_forwardgiven 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 preparearrow_forwardFor AVL trees, make sure to check for balance after each operation and rotate if necessary before answering the question. 2 4 6 7 8 9 10 12 14 13 15 Delete 8. After deletion, what is the depth of node 4? Delete 10. After deletion, how many nodes would have to be added to the resulting tree for it to become a full binary tree?arrow_forward
- Consider the AVL tree given in the following figure and delete 39 from it.arrow_forwardUsing your registration number, Draw a binary tree and apply two rotations. Write down the pseudocode and explain how many nodes moved to make the tree as an AVL tree?arrow_forwardHow many different AVL trees can result from inserting permutations of 1, 2, and 3 into an initially empty tree?arrow_forward
- Show the result of inserting the numbers 1 through 15 in order into an initially empty AVL tree. What do you notice about the structure, and do you expect it to hold for any sequence 1, 2, ..., 2^k-1?arrow_forwardGiven the following LLRB tree What is the problem of this tree? How to fix this problem?arrow_forwardCorrect 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…arrow_forward
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