Question

5. (AVL Trees - 10 points). This tree will become unbalanced by the removal of some of the nodes.fi below, telling, for each

0 0
Add a comment Improve this question Transcribed image text
Answer #1

SOLUTION:- Since, there is no removal order is given in question so we will remove the nodes in the following order:

1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12

Original Tree On Removing node 2 8 This removal will not unbalance 10 10 the tree. 12 12 3 6 3 6 11 1 11 On Removing node 3 :On Removing node 4 On Removing node 5 : This removal This removal will unbalance the tree. At node 5, First imbalance occurs.On Removing node 10 : This removal will not unbalance On Removing node 7 11 10 This removal will not unbalance the tree. 12 t================================================================================

  

Add a comment
Know the answer?
Add Answer to:
5. (AVL Trees - 10 points). This tree will become unbalanced by the removal of some...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. [10 pts.] AVL Trees: Example Operations (a) [5 pts.] Draw the AVL tree that results...

    1. [10 pts.] AVL Trees: Example Operations (a) [5 pts.] Draw the AVL tree that results from inserting key 45 into the following AVL tree. (b) [5 pts.] Draw the AVL tree that results from deleting key 70 from the following AVL tree. NOTE: When deleting a key from an AVL tree, please follow the textbook approach of finding the node with the key using the function for standard binary search trees. If the key is in the tree and...

  • (b) You are given the AVL Tree in the figure below. Assume that the nodes are...

    (b) You are given the AVL Tree in the figure below. Assume that the nodes are sorted in alphabetical order. E J B D K A F L H Draw the resulting BST after node E is removed. To construct the new BST replace node E with an appropriate node from the left subtree of E. Do not rebalance the resulting tree. Label each node in the resulting tree with its balance factor. (e) Now rebalance the tree from the...

  • class AVLTree The following functions are the minimum requirements for the AVL class. You can add...

    class AVLTree The following functions are the minimum requirements for the AVL class. You can add any function from Assignment 2 to this class. You should modify the BSTree insert function so that the tree remains balanced after each insertion. Required Public Member Functions void insert(const string &): Insert an item to the binary search tree and perform rotation if necessary. int balanceFactor(Node*): Return the balance factor of a given node. void printBalanceFactors(): Traverse and print the tree in inorder...

  • C++ Binary Search Tree question. I heed help with the level 2 question please, as level...

    C++ Binary Search Tree question. I heed help with the level 2 question please, as level 1 is already completed. I will rate the answer a 100% thumbs up. I really appreciate the help!. Thank you! searching.cpp #include <getopt.h> #include <iostream> #include <sstream> #include <stdlib.h> #include <unistd.h> using namespace std; // global variable for tree operations // use to control tree maintenance operations enum Mode { simple, randomised, avl } mode; // tree type // returns size of tree //...

  • C++ Binary Search Tree question. I heed help with the level 2 question please, as level...

    C++ Binary Search Tree question. I heed help with the level 2 question please, as level 1 is already completed. I will rate the answer a 100% thumbs up. I really appreciate the help!. Thank you! searching.cpp #include <getopt.h> #include <iostream> #include <sstream> #include <stdlib.h> #include <unistd.h> using namespace std; // global variable for tree operations // use to control tree maintenance operations enum Mode { simple, randomised, avl } mode; // tree type // returns size of tree //...

  • Start with the tree.java program (Listing 8.1) and modify it to create a binary tree from...

    Start with the tree.java program (Listing 8.1) and modify it to create a binary tree from a string of letters (like A, B, and so on) entered by the user. Each letter will be displayed in its own node. Construct the tree so that all the nodes that contain letters are leaves. Parent nodes can contain some non-letter symbol like +. Make sure that every parent node has exactly two children. Don’t worry if the tree is unbalanced. Note that...

  • Recursion and Trees Application – Building a Word Index Make sure you have read and understood...

    Recursion and Trees Application – Building a Word Index Make sure you have read and understood ·         lesson modules week 10 and 11 ·         chapters 9 and 10 of our text ·         module - Lab Homework Requirements before submitting this assignment. Hand in only one program, please. Background: In many applications, the composition of a collection of data items changes over time. Not only are new data items added and existing ones removed, but data items may be duplicated. A list data structure...

  • ​​​​​ You should now be able to edit the IntTree class. Implement each of the functions labeled...

    ​​​​​ You should now be able to edit the IntTree class. Implement each of the functions labeled with You are not allowed to use any kind of loop in your solutions. You may not modify the Node class in any way You may not modify the function headers of any of the functions already present in the file. You may not add any fields to the IntTree class. You may not change or remove the line that reads “package hw2;”...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT