Given a binary tree, let an H-node be defined as a non-leaf node in the tree whose value is greater than or equal to its children nodes (1 or 2 children).  Write a function called countHNodes(TreeNode* p), that returns the number of H-nodes in a binary tree (pointed by p). Use recursion in the function.

Create a recursive method called isOrdered() that takes a Node and the two keys min and max as arguments. It should return true if all of the tree's keys are between min and max, min and max are, in fact, its smallest and largest keys, respectively, and the BST ordering property holds for all of the tree's keys, and false if it does not.

In C++, answer): Give the inorder, preorder,postorder traversal of the tree below (no spaces in your ART T H E T M A U X H S Y A

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'))

Given a reference to a binary tree t. I am trying to write a python function using recursion that will check if an integer called k is stored in a leaf node in the tree. if not stored it should return false but if it is I want it to return True. starting function: def in_leaf(t,k):

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

This question should be answered with OCaml. All functions must be implemented with the Continuation Passing Style. Do not use ChatGPT. Oftentimes we want to traverse an entire tree in a certain order. One common way of traversing a tree is postorder traversal. In postorder traversal, we traverse the left subtree first, then traverse the right subtree, then visit the node. Our job is to create a function that returns a list of the values of the tree visited in postorder traversal. This function should be implemented with the Continuation Passing Style. Our function would have the following signature: traverse : 'a tree -> 'a list Example 1: For the tree in the image above, traverse should return the list [2; 5; 11; 6; 7; 5; 9; 9; 1]. Example 2: Input: Tree (Tree (Empty, 2, Empty), 1, Tree (Empty, 3, Empty)) Output: [2; 3; 1] Example 3: Input: Tree (Tree (Tree (Empty, 4, Empty), 2, Tree (Empty, 5, Empty)), 1, Tree (Empty, 3, Empty)) Output: [4; 5; 2; 3; 1]   1. Write a good set of…

Implement the pre-order tree traversal algorithm in C++. This program should use the following binary tree (see image) and display the pre-order tree traversal of the nodes’ values. Feel free to write this iteratively or recursively. Also, explain how it works and how a new tree could be provided to the code. PS: make sure that the logic of the program is correct, meaning that it can work well with different binary trees. I would like to change the tree input to the pre-order traversal function. The program should work errorless and display the result correctly. No need to code it to read the user input, however, provide instructions on how a new tree can be defined in this program to check if the program works fine with different trees.

Rewrite the definition of the function searchNode of the class B-tree provided (bTree.h) by using a binary search. Write a C++  code to ask the user to enter a list of positive integers ending with -999, build a b- tree of order 5 using the positive integers, and display the tree contents. Also, ask the user to enter a number to search and display if the number is found in the tree. bTree.h

1. Draw the recursion tree generated when calling hanoi (3, 1, 3). The first parameter is numDisks, the second is the number of the fromPeg, and the last is the toPeg. Each node in the tree should include the function name and three parameters described above. hanoi (3, 1, 3) is the root node in the drawing.