AVL tree after inserting : 20, 40, 80, 60, 55, 11, 99, 77 , 33:
Build an AVL tree for the following collection of numbers in the given order. Show the...
1. (a) Given the following numbers in the given order, show the AVL tree. Show the steps as you do any rotations. 100, 200, 150, 170, 165, 180, 220, 163, 164 (b) Show the pre-order traversal of this AVL tree. (c) (JAVA) Write the AVL tree code and insert the above numbers. Show the screen shot of the pre-order traversal of the resulting tree. Compare the result with the previous question.
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?
Draw an AVL tree (initially empty) at each step when inserting the following numbers in order: 1; 2; 5; 4; 6; 3; 10; 9; 7; 8 Now, draw the above AVL tree at each step when deleting the following numbers in order (assuming that the substitution on deleting a node is done by replacing it with the minimum in the right subtree): 4; 5; 6
Suppose we insert the numbers 4,5,6,7, and 8 into and AVL tree in that order. Then we traverse the tree via a post-order traversal and print the number at each node. In which order would the numbers print?
(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...
[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...
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
Implement a method to build an AVL tree out of a sorted (ascending order) array of unique integers, with the fastest possible big O running time. You may implement private helper methods as necessary. If your code builds a tree that is other than an AVL tree, you will not get any credit. If your code builds an AVL tree, but is not the fastest big O implementation, you will get at most 12 points. You may use any of...
a) Show balance factor of every node after each insertion by creating an AVL tree with 4,2,2,0,1,4,5,9,7,1,5,3,6 number. Express all operations (single/double rotation) necessary to restore the balance. b) Create min and max heap using the same input as in part (a) by showing all the necessary steps.