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- Q2. a. What is a Binary Search Tree? b. Draw the Binary Search Tree that results from the insertion, one at a time, of nodes with Keys 27, 59, 21, 38, 54, 63, 8, 70, 15, 12. (Marking Scheme: Each correct insertion in the tree will give you c. Perform the following operations on the original tree and redraw the tree after each operation ) i.deleting 63 ii.deleting 59 iii.Insert 65 iv.Insert 22 d. Write down the inorder, preorder and postorder traversal on the constructed binary tree.True or false: A full tree expressed as an array needs around three times less space than a linked node representation of the same tree?Is it true or false? A entire tree represented as an array takes up around three times as much space as a linked node representation of the same tree?
- JAVA Create a binary tree from the given array. Provide a listing of the values for each node in the order they are traversed for norder, preorder, and postorder traversals. Clearly label your traversals. You do not need to submit the binary tree. [11, 20, 8, 16, 13, 10, 7, 12Which implementation below is the best approach to represent a complete binary tree? Array that only stores the key values Array that stores both key value as well as the reference indexes to the left and right children Any array will perform equally well (both in terms of time and space)Create an array version of a binary search tree based on an array implementation of a binary tree using the simulated link approach. Each array element must maintain a reference to the data element that was placed there, as well as the array positions of the left and right children. You must also preserve a record of accessible array places where items have been erased so that those slots may be reused.
- (Java) How can I implement a binary search tree in a program to store data, and use the delete method to trim the tree? The program should have a 'populate' button that obtains a string from the user, creates a sorted binary search tree of characters, and prints the tree using the DisplayTree class. It should also print the characters on one line in sorted order by traversing the tree in inorder fashion. The program should also have a 'Trim Tree' button that obtains a second line of input to delete characters from the tree, trimming the tree accordingly. It should ignore characters that are not in the tree, and only delete one character for each occurrence in the second line of input. When all characters from the second line have been deleted from the tree, the program should print the remaining characters in the tree using the DisplayTree class. The output should be labeled appropriately, and no spaces or commas should be used between tree elements in the inorder traversal.Here is the…For the set of numbers {14, 7, 12, 20, 2, 18, 17, 10, 3, 5, 16, 19, 8}1. Draw a Binary Search Tree diagram for the set of numbers.a) Send me a diagram of what the binary tree looks like. If you don’t have a way ofdrawing it using your PC, draw it on a piece of paper and take a picture of it.b) Fill in the array structures leftPtr & rightPtr (see below), based on the diagram of yourbinary tree. leftPtr and rightPtr store the address of the child node to the left and right.In my example, I used 12 as my root. You can use or another number from the set ifyou want. I did a couple as an example, you do the rest.2. Generate pseudocode for a function that will find the minimum value in the tree, in the mostefficient manner (i.e. not linear search)3. Generate pseudocode for a function that will find the maximum value in the tree, in the mostefficient manner (i.e. not linear search)Send to me in a MS Word document if possible. There are (4) deliverables (1a, 1b, 2 & 3)If you answer both, thank you, but if you decide to answer one, please answer the second question ( Not the one in the image) 2. Perform the traversals for the above tree:a) reverse postorder: _______________________ _b) preorder traversal: _______________________ _c) Give the array representation of the binary tree in # 1.
- 1. Construct a binary tree for the numbers 3,4,5,6,7,8,9. Then for each number input taken at runtime, show the number of iterations required to reach that node from root node containing the target number. (10) 2. Construct a binary tree with the following keys as strings a. Desktop, CSU, Spring2022, CIS260, CIS 265, Vacation, Hackathon Your first task is to put this data in an array of string and search for a folder name. Let us say that the folder name is “Hackathon”. Using the array subscript, how many iterations does it take to find the folder? (10) Next, convert this array into a Binary tree and arrange in alphabetical order, and try to find the same folder. List the number of Iterations.(10) Bonus: Now replace the folder names with file contents. So you need a File class where there is a filename variable and file content variable, both should be strings. So the node would have file object instead of just names. So you have an array of File class objects, so the binary tree will…a. Reads integers from Input.txt into an array in Java. buildBinaryTree creates a binary tree from array input. Form a tree using BinaryNodes without merging. c. Print the tree using BinaryNode's printinOrder/printPreOrder methods. Question 2's oddEntries method returns the tree's odd integers.Assume the above tree is a binary search tree, a) Show the tree after removing node h; b) Show the tree after removing node f; c) Show the tree after removing node a; Please do part a b and c (Note, each small question is independent.)