Identify the rebalanced AVL tree after the following operations: AVLTreeRemoveKey(tree, 20) AVL TreeRemoveKey(tree, 41) AVL TreeRemoveKey(tree,...
Assume the following notation/operations on AVL trees. An empty AVL tree is denoted E. A non-empty AVL tree T has three attributes The key T.key is the root node's key. The left child T.left is Ts left subtree, which is an AVL tree (possibly E). The right child T.right is T's right subtree, which is an AVL tree (possibly E). (a) 5 marsl Write a function RANGECOUNT(T, lo, hi) to count the number of nodes in an AVL tree with...
Assume the following notation/operations on AVL trees. An empty AVL tree is denoted E. A non-empty AVL tree T has three attributes: • The key T.key is the root node’s key. • The left child T.left is T’s left subtree, which is an AVL tree (possibly E). • The right child T.right is T’s right subtree, which is an AVL tree (possibly E). (a) [5 marks] Write a function RangeCount(T, lo, hi) to count the number of nodes in an...
True or false? (a) An insertion in an AVL tree with n nodes requires Θ (log(n)) rotations. (b) A set of numbers are inserted into an empty BST in sorted order and inserted into an empty AVL tree in random order. Listing all elements in sorted order from the BST is O (n), while listing them in sorted order from the AVL tree is O (log(n)). (c) If items are inserted into an empty BST in sorted order, then the...
Problem #1: Consider the below matrix A, which you can copy and paste directly into Matlab. The matrix contains 3 columns. The first column consists of Test #1 marks, the second column is Test # 2 marks, and the third column is final exam marks for a large linear algebra course. Each row represents a particular student.A = [36 45 75 81 59 73 77 73 73 65 72 78 65 55 83 73 57 78 84 31 60 83...
[74, 92, 75, 46, 60, 3, 90, 78, 7]The task here is to show a trace of the operations needed to insert objects with your (list of) keys, one by one, into an initially empty AVL tree with restoration of AVL balance (if necessary) after each insertion.Your submission should have the section heading 'AVL trace' followed by the coded trace of operations: Ixx to insert key xx at the root of the previously empty AVL tree; IxxLyy to insert key...
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...
The following AVL tree is not balanced. Redraw the tree after rebalancing. You do not have to list the balance factors.
4. Consider the following subtree of a balanced AVL tree a b AA d X Y d+1 d+2 Now, suppose that subtrees (i.e., subtree X and subtree Y) to be both two levels deeper than its right subtree (i.e., subtree Z) so that we have the following unbalanced AVL tree node at the bottom of subtree Z is deleted, causing its two left a a b d d+1 X d+2 Describe how the AVL tree can be rebalanced. Draw the...
just need to answer the second question
3 AVL Trees Assume the following notation/operations on AVL trees. An empty AVL tree is denoted E. A non-empty AVL tree T has three attributes: . The key T.key is the root node's key. The left child T.left is T's left subtree, which is an AVL tree (possibly E). The right child T.right is T's right subtree, which is an AVL tree (possibly E) [3 marks] Describe an alternative version of the RANGECOUNT(T,...
Question 1: Tree Characteristics
For each tree below, is it a maxheap? Why or why not?
Tree A:
Tree B:
Tree C:
Tree D:
67 58 52 41 38 49 49 24 31 37 39 21 14 16 22 25 23 7 100 46 82 34) 78 72 67 64 54 53 62 61 42 31 49