The following AVL tree is not balanced. Redraw the tree after rebalancing. You do not have...
(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...
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...
refer to the picture exactly using c++ Create a function in the AVL tree class that returns the number of rotations a tree must perform to be balanced after adding a given list of elements to the tree. Assume that all the AVL trees functions implemented in the lab are already present. After adding each element, the number of rotations should be updated. Problem 1 (10: Create a function in the AVL tree class that returns the number of rotations...
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...
1. AVL tree is a tree with a node in the tree the height of the left and right subtree can differ by at most _, meaning every 2. The height of the AVL tree is_ (In Big-O notation) 3. (True False) Below tree is an AVL tree. 4. (True False) Both of the below trees are not AVL tree since they are not perfectly balanced. 5. Inserting a new node to AVL tree can violate the balance condition. For...
Identify the rebalanced AVL tree after the following operations: AVLTreeRemoveKey(tree, 20) AVL TreeRemoveKey(tree, 41) AVL TreeRemoveKey(tree, 67) 67 30 71 20 41 68 78 72 99 71 O 58 78 30 72 99 ) 72 68 78 30 71 99 71 68 72 30 78 99 71 68 72 O 30 78 99 72 71 78 O 68 99 30
Given the follow Binary Search Tree (AVL Tree). Show the balance factor for each node. Is this binary tree balanced? If not which nodes would have to be removed to make it balanced?
[DSW] Create a balanced binary tree from the tree in figure 1 using DSW algorithm. Show step-by-step process including the process of creating backbone and perfectly balanced tree [AVL] Delete node 9 from tree in figure 1, then determine balance factor for each remaining node, and create a balanced AVL tree from it. Delete node 3 from tree in figure 1 by using Delete-by-Copying procedure, determine balance factor for each remaining node, and create a balanced AVL tree...
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...