ase provide code in Python Language design algorithms for the following operations for a binary tree T: preorder next(p): Return the position visited after p in a preorder traversal of T (or None if p is the last node visited).

Given the following tree, calculate the postorder traversal order of its e lements. F A В D E

I am to write a function that receives the root of a binary tree t and a number k and determine if the node where k is stored is the left child of its parent. if k is not in the tree, or does not have a parent, or is a right child the function should return false. Starting code: def is_left_child(t,k):    parent, x = t.find(k, return_parent = True)    return False

The purpose of this assignment is to practice (JAVA): Implement a binary search tree structure Demonstrate tree traversals Analyze and compare algorithms for efficiency using Big-O notation For this project, you will implement a binary search tree and use it to store a large text file (JAVA). Your program should read text from a file and insert each word in a binary search tree. Do not store duplicate text. Once the tree is populated, print the contents of the tree using an in-order traversal. Next, allow the user to enter words to search for. For each word entered, your program should report the number of elements inspected and whether or not the word was located. Next, allow the user to enter words to remove from the tree. After each removal, print the contents of the tree. Provide an analysis of your remove and search algorithms using Big-O notation. Be sure to provide justification for your claims. (Look at image attached for sample run)

The Delete algorithm for a binary search tree retrieves and deletes the inorder successor when the node being deleted has two children. In this case the inorder successor is found as: O a. the smallest value in the left subtree. O b. the largest value in the right subtree. O c. the largest value in the left subtree. O d. None of these are correct O e. the smallest value in the right subtree.

Consider the following Binary Tree. root A B D E F C G H K If we perform an postorder traversal, which value is displayed FOURT Enter the node's label (A,B,C,D,E,F,G,H,K) in the space provided.

In binary search trees, how may pre-order traversal be most efficiently utilized?

In the binary search tree, write a 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: Node):

E5

For a binary tree, the pre-order traversal is H D A C B G F E the in-order traversal is: A D C B H F E G (A) Draw this binary tree (B) Give the post-order traversal