For a tree which uses lazy deletion, implement a function which counts the # of deleted nodes.
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- Write a function f1 that takes the root of a binary tree as a parameter and returns the sum of the nodes which are in the left subtree of the root. You must not consider the value of the root in the final sum.Write a program that inserts the numbers into an initially empty BST such that the tree produced is equivalent to binary search tree. Insert 16 as a root node then add 1 into 16 to generate 2nd number for insertion, add 2 to the 2nd number to generate 3rd number continue adding according to the level of the tree till 5th level. Then subtract 1 from root node to generate 7th node Continue subtracting till level of 5th level. The Insert function will only take the root node and construct the entire tree Implement a remove function which can remove the 3rd layer numbers from right and left both sub trees. Implement a function to find the number which is nearby to your given age Question-2 (b) Draw a binary search tree and AVL tree from the following traversals: {15, 5, 20, 70, 3, 10, 60, 90, 16} Delete 15 and re-draw both Binary Search Tree and AVL Tree drawn in given traversal. Reverse path of Binary Search Tree drawn Convert Binary Search Tree into Binary Tree such that sum of…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'))
- In PythonIn C++,Write a function, singleParentWithLeftChild, that returns the number of nodes in a binary tree (pointed by p) that have only one left child. Your program should NOT count the nodes with one right child. (30 point) // find the number of singles parent nodes in a binary subtree pointed by p int BST::singleParentWithLeftChild(TreeNode* p) { // write your code here! }
- Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree,return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space,set the pointer as NULL Else// if the input is not a space,generate the binary node and create its left…In C++, develop an algorithm that inserts the value val into a binary search tree with root. If the tree is empty, root = null. The algorithm returns the root of the tree containing the added item. You should assume that “new node” creates a new node with data field data and reference fields left (for left child) and right (for right child).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
- 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.A binary tree with only one node has a height of 1. Questions: 1. At most how many and at least how many nodes can a binary tree of height 2016 have? Justify your answers. 2. Write a function Height(t) that, given a treet, returns its height. 3. Peter wants to check if a binary search treet is an AVL tree. Write a function ISAVL(t) that takes a binary search tree t as input and returns TRUE if the tree is an AVL tree (balanced) and FALSE otherwise.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):