EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Question:
In a binary search tree (BST), what is the relationship between a node's left child and its parent?
A) The left child is greater than the parent.
B) The left child is less than the parent.
C) The left child is equal to the parent.
D) There is no specific relationship between the left child and the parent in a BST.
The following items are inserted into an AVL tree: 1, 2, 3, 8, and 9. How many rotations are performed in total to maintain an AVL tree?
Table 1 illustrates the top fifteen hardcover non-fiction bestseller books in the New YorkTimes list for April 2021 detailing the ID, title, author/s, publisher, as well as a briefdescription of the book, and the price, respectively. How would you implement Table 1 in aBinary Search Tree (BST) data structure if nodes are ordered based on the ID value of anode? Explain by:a. Showing the definition of a node in the tree.b. Drawing the tree if the items are inserted in the order in which they appear in thetable. In your drawing you only have to show the ID value of a node
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EBK DATA STRUCTURES AND ALGORITHMS IN C
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- Question 3 Construct a Btree for the following set of key values: (12, 75, 10, 99, 25, 21, 9, 19, 22, 74, 82). Assume that the tree is initially empty and values are added in the presenting order. Draw the steps for builing the Btree for the case where the number of pointers, not values, that will fit in one node is five or 2d = 4. Full explain this question and text typing work only thanksarrow_forwardFrom tree #1, how many nodes are visited by searching node(15)?arrow_forwardUse the following AVL tree to answer the following questions: 3 points Save Answer 50 25 75 10 30 60 80 15 27 55 Click HERE to display the tree if it does not show, (a) Which is the deepest unbalanced node after deleting key 80, but before re-balancing, and what is its balance factor? (b) After the deletion, perform all the necessary rotations required to re-balance the tree, and after each rotation, state the type of rotation done and list the keys of the resulting tree in breadth-first order in the following format. en. After Left/Right rotation: e1, e2, e3, ..., hparrow_forward
- Question Three A. Given the following Binary Search Tree (BST) 1. Write the pre-order of the nodes visited: 2. What is the height of the tree? 3. Remove the node E from the tree and re-draw the tree after removing the nodearrow_forwardDraw a Balanced search tree where keys are 210435. How many comparison operation you performed to insert all keys in your tree. Discuss what are advantages of Balanced Search Trees? When they can be considered in-efficient?arrow_forwardWhat is the max and min number of levels of a tree with 129 nodes?arrow_forward
- Please answer the following questions:1. Which node has the imbalance (i.e., the difference of heights > 1 between its left and right subtree)?Please write the key of that node: 2. Which three nodes are involved? With only one space between nodes, e.g., 1 2 3 3. Which type of imbalance (RR, LL, RL, LR)?arrow_forwardIf you are searching for a key in a binary search tree, explain how the shape of the tree affects the efficiency of finding that key. Thank you!arrow_forwardUse the tree from your assignment 5. Show your solutions. Perform the following operation on the AVL Tree separately. 2. Remove 50. 37 25 50 13arrow_forward
- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You are given a tree — associated undirected chart without cycles. One vertex of the tree is exceptional, and you need to track down which one. You can pose inquiries in the accompanying structure: given an edge of the tree, which endpoint is nearer to the uncommon vertex, which means which endpoint's most brief way to the extraordinary vertex contains less edges. You need to track down the uncommon vertex by posing the base number of inquiries in the most pessimistic scenario for a given tree. If it's not too much trouble, note that the exceptional vertex probably won't be fixed by the interactor ahead of time: it may change the vertex to some other one, with the prerequisite of being steady with the recently offered responses. Input You are given an integer n (2≤n≤100) — the number of vertices in a tree. The folloiwing n−1 lines contain two integers every, u and v…arrow_forwardProblem 3. Binary Tree Q4. Given the binary tree on the picture, match the following questions with the answers. If you cannot see the picture, please look at the pdf file BinaryTree.pdf posted under Files/Final. 1 3 4 5 What is the root? 6 7 8 How many nodes in the tree? How many leaves in the tree? 12 9 What is the height of the tree? 15 10 13 17 [Choose ] [Choose ] [Choose ] [Choose ] > > <arrow_forwardConsider the tree structure given below. First complete the tree by replacing the question marks by some capital letters (A B … Z) as you like, so it becomes a binary search tree. Then complete the table below with the order in which the nodes (of the tree you completed) are visited with respect to the given traversals. Note: Do not change the tree structure. But it is totally up to you how you complete the tree as far as it is a binary search tree.arrow_forward
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