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Consider the AVL Tree below. Use the AVL Tree Insertion algorithm to add 0017 to the...
Consider the AVL Tree below. Use the AVL Tree Deletion algorithm to delete 0033 from the tree. List the nodes of the resulting tree in pre-order traversal order separated by one blank character. For example, the tree below can be described in the above format as: 50 33 77 60 3 0050 0033 0077 1 0060
Use the Binary Search Tree (BST) insertion algorithm to insert 0078 into the BST below. List the nodes of the resulting tree in pre-order traversal order separated by one blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 77 76 82 92 0075 0053 0084 0024 0057 0077 OON 0076 0082
Use the Binary Search Tree (BST) deletion algorithm to delete 0075 from the BST below. List the nodes of the resulting tree in pre-order traversal order separated by one blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 77 76 82 92 0075 0053 0034 0024 0057 0077 0092 0078 0082
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...
Assume you are given “preorder” and “inorder” traversal result of a Binary Tree. Write an algorithm (pseudocode) that constructs the Binary Tree. For example, you can start with the Pre-Order and In-Order traversal of the same tree given below. Pre-Order = 80, 50, 10, 70, 100 In-Order = 10, 50, 70, 80, 100
(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...
[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...
plz use python to answer it, thanks in advance 3. Tree and back arcs in a DFS 40 Marks For a given set of digraphs, write a program that performs DFS on each digraph starting at node 0 and prints out the total number of tree arcs and back arcs resulting from the traversal. Use our standard convention that when there is a choice of white or grey nodes, the one with the lowest index should be chosen. Input format:...
PROBLEM 6: Suppose we insert keys below into an initially empty binary search tree in the given order 6, 9, 2, 1, 5, 7, 10, 8, 3,4 (a) Draw the resulting binary search tree. (b) List the keys according to: A pre-order traversal An in-order traversal A post-order traversal (c) Now we perform some deletions using the "deletion by copying" strategy in which promoted keys are always drawn from a node's right subtree (so that there is only one correct...