we create two different binary trees with the
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1. Can we create two different binary trees with the same inorder traversal?
2. How can we check whether two binary trees are identical?
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- Suppose an array is given A = [A, C, E, F, K, L, M, N, Y, Z] a. Draw a complete BINARY tree from array A. b. Write preorder, inorder, and postorder traversal for the created complete binary tree. c. Draw a complete TERNARY tree from array A. d. Write preorder and postorder traversal for the created complete ternary. Draw the adjacency matrix and adjacency list for the complete ternary tree/graph. [You must consider the tree direction from top to bottom when drawing adjacency matrix and list]Extend program BinarySearchTree.java by adding the following operations to the BinarySearchTree class: Show the results. a. Find the height of the BST. b. Find node with the largest key. c. Find the average of the key values of the nodes. d. Print the nodes in the tree in pre-order, in-order, and post-order. (decided by the user after run) e. Create the same BST shown in question 2. Run your program for the BST shown in question 1 to its final state and output the height, the largest key, and average of the keys. import java.util.*; public class BinarySearchTree1{ public Node root; public BinarySearchTree1() { root = null; } public Node getroot() { return root; } public Node Search(int KEY) { Node x = root; while (x != null && x.item != KEY) { if (KEY < x.item) { x = x.Left; } else {…Using the simulated link technique, create an array version of a binary search tree based on an array implementation of a binary tree. Each array element must keep a reference to the data element put there as well as the array locations of the left and right children. You must also keep a list of accessible array positions where elements have been deleted so that you may reuse those slots.
- Which of the following statements is TRUE about trees? O For an array-based complete binary tree, it takes only constant time to access a node's parent. A binary tree node can never be a root and a leaf at the same time. The three cases of removing a node in a binary search tree are deleting the root, deleting a leaf node, and deleting an internal node (a node that is other than the root and the leaf nodes). O Performing a post-order traversal on an expression tree will not necessarily produce a post-fix expression.Extend program BinarySearchTree.java by adding the following operations to the BinarySearchTree class: a. Find the height of the BST. b. Find node with the largest key. c. Find the average of the key values of the nodes. d. Print the nodes in the tree in pre-order, in-order, and post-order. (decided by the user after run) e. Create the same BST shown in question 2. Run your program for the BST shown in question 1 to its final state and output the height, the largest key, and average of the keys. import java.util.*; public class BinarySearchTree1{ public Node root; public BinarySearchTree1() { root = null; } public Node getroot() { return root; } public Node Search(int KEY) { Node x = root; while (x != null && x.item != KEY) { if (KEY < x.item) { x = x.Left; } else { x =…I have a few questions about this binary tree. First, how does binary trees, I know that it consists of data such as right and left, but how doe they work exactly? Second, in the image what does it mean to have struct Node *node, like is this creating an object like any other data type? Third, when using binary trees, how is data moving or being used in binary trees, and what can I try to implement this into? Lastly, how can I try to make an improvement to this binary tree?
- Suppose you have a binary search tree in which the elements are integers and were stored in this order: 24, 80, 13, 48, 18, 23, 32, 40, 19, 1, 57, 7. Answer the following questions about this binary search tree (BST): a) What is the root of the BST? b) Which nodes will be the leaves of this BST (list the integers)? c) What is the height of this BST? d) Is this BST balanced? e) Suppose you wanted to remove the node that contains the number 24. Name one of the possible candidate nodes that one could use to replace that node on the tree in the position of 24.Given the following keys T, Y, V, Q, F, B, M. N, W, G, C, A, P, R, L. 1. Assuming the keys are inputted in that order, build a binary search tree according to the input: 2. Use an array to implement the tree you built and show the contents of the array: 3. Assuming the keys are all available at once and you can change the order if necessary, build a balanced binary search tree:True/False: A complete tree represented as an array takes about three times less space than the same tree in a linked node representation?
- In JAVA code Write an algorithm for deleting a node of a Binary Search Tree. Take note that the Binary Search Tree property must be satisfied after a node is removed from a Binary Search Tree.python: In a binary search tree, write another way of function that takes in a root, p, and checks whether the tree rooted in p is a binary search tree or not. What is the time complexity of your function? def is_bst(self, p): root=p def helper(root, l, r): if not root: return True if not (left<root.val and root.val<right): return False return helper(root.l, l, root.val) and helper(root.r, root.val, r) return helper(root, float('-inf'), float('inf'))Course: Data Structure and Algorithms Language: Java Kindly Answer in 1 hour. Read Carefully and give answer with all necesary details. Question3: Draw a Binary search Tree BST. Then write preorder, in-order and level order traversal. Also mention the height of the tree. insert 15, 20, 25, 18, 16, 5, 30, 47 and 7.