• The left subtree of a node contains only nodes with keys less than the node's key. The right subtree of a node contains only nodes with keys greater than the node's key. Remember, this property should apply to all subtrees as well. Function definition for Java: public boolean isValid BST (TreeNode root) { } Function definition for Python: def isValid BST (self, root): # Your code here Announced Test Cases: Test Case 1: Input: 3 8 1 5 9 Output: True Explanation: This is a valid binary tree, so we expect a "True". Test Case 2: Input: 2 8 3 5 6
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- The Binary Search Tree(BST) provided below:{# Class to represent Tree nodeclass Node:# A function to create a new nodedef __init__(self, key):self.data = keyself.left = Noneself.right = Noneroot = Node(4)root.left = Node(2)root.right = Node(6)root.left.left = Node(1)root.left.right = Node(3)root.right.left = Node(5)root.right.right = Node(7)}Write a complete Python program to only return the third smallest element in the Binary Search Tree. The value of the third smallest elementis ”3”. You may choose either a recursive or an iterative solution. Youare NOT allowed to actively maintain an extra data-structure for storageof values of the tree elements to perform a linear scan later to return therequired value.HINT: A certain BST Traversal is ordered.Given a binary tree with integer data at all nodes (including leaves), your task is to create a pretty printer. Each node in the tree can have 0, 1, or 2 children in python3. constructor that takes a required int argument for the data stored in the node, and two optional Node arguments for the left and right children, respectively. __str__(self) -> str: returns a string representation of the subtree rooted at the self node [must use recursion] compute_height(self) -> int: returns the height of the current node. The height is the distance of the longest path between a leaf node and the current node. [must use recursion] pretty_print(self, indent: int): prints a formatted tree string with each node on a separate line, using the format value: height, and making sure that sibling and cousin nodes (i.e., those at the same distance from the root node) are indented using the same number of spaces (see example below). The root is indented 0 spaces, the children of the root are indented…a) Write a function that will print the even elements in each level of the binary search tree. b) Write a function that will count total number of odd nodes of the tree. 10 / \ 6 13 / \ / \ 3 8 11 16 The output of the given tree when the function is applied: 10 6 8 16 Total number of odd nodes is 3. You have to answer both (a) and (b) in same code calling from main function. The base code is given bellow. Modify and write only the main function and the additional function needed to solve the problem in the answer script. BST code: #include<iostream> using namespace std; struct node { int key; struct node *left, *right; }; // A utility function to search a given node bool search(struct node* root, int key) { // Base Cases: root is null or key is present at root if (root == NULL) return false; else if(root->key == key) return true; // Key is greater than root's key else if…
- In c++ A company wants to store his Employees data but orderly. Because of that owner wants to use a binary search tree. Each Node must store the employee number, name, and salary double (class). Implement in java/C++ a binary search tree that stores the employees and implements the following methods: a) Include a new Employee (insert values) b) Search an employee given its number. c) Delete an employee. d) Get in-order, pre-order, post-order traversal of tree and display values.PLEASE WRITE IN C++ Implement a program that uses an array based binary tree (sequential tree) that has a menu with these options: 1.) insert (This option asks the user for a size and then creates the array based tree, filling the tree with characters or integers . Fill the sequential tree as a complete tree and insert keys as children to specific parents, It is also straightforward to insert children to specific parents due to the fixed nature of the parent child relationship, with a parent having children at indexes ( 2 * Parent index ) + 1, and + 2.). 2.) search (asks user for a character to search in the tree then prints if it is in the tree or not.) 3.) quit (exits program)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'))
- only c here is "BinaryNode.java" // BinaryNode class; stores a node in a tree. // // CONSTRUCTION: with (a) no parameters, or (b) an Object, // or (c) an Object, left child, and right child. // // *******************PUBLIC OPERATIONS********************** // int size( ) --> Return size of subtree at node // int height( ) --> Return height of subtree at node // void printPostOrder( ) --> Print a postorder tree traversal // void printInOrder( ) --> Print an inorder tree traversal // void printPreOrder( ) --> Print a preorder tree traversal // BinaryNode duplicate( )--> Return a duplicate tree /** * Binary node class with recursive routines to * compute size and height. */ class BinaryNode { public BinaryNode( ) { this( 0, null, null ); } public BinaryNode( int theElement, BinaryNode lt, BinaryNode rt ) { element = theElement; left = lt; right = rt; } /** * Return the size of the binary tree rooted at t. */ public static int size( BinaryNode t ) { if( t == null ) return…please I need a c++ implementation for this recursive function! Thank you in advance #ifndef H_binarySearchTree #define H_binarySearchTree #include <iostream> #include <cassert> #include "binaryTree.h" //************************************************************* // Author: D.S. Malik // // This class specifies the basic operations to implement a // binary search tree. // Revised by Dr. Ji on Npv 30 2021 //************************************************************* using namespace std; template<class elemType> class bSearchTreeType: public binaryTreeType<elemType> { public: bool search(const elemType& searchItem) const; //Function to determine if searchItem is in the binary //search tree. //Postcondition: Returns true if searchItem is found in the // binary search tree; otherwise, returns false. void insert(const elemType& insertItem); //Function to insert insertItem in the binary search tree. //Postcondition: If no node in the binary search tree has…In Java, Complete the incomplete method of ExpressionTree.java. The incomplete methods are private Node parsePrefix(Scanner input) // Required public void parseInfix(String string) // Optional public void parsePostfix(String string) // Optional Implementations of parseInfix and parsePostfix require use of a stack. Implementation of parsePrefix does not. Read all of the ExpressionTree.java file before starting your implementation, so that you see the helper methods that are provided and get an idea of the context for your implementation. Although not needed for your implementation, you should be sure you understand how the toStringPrefix, toStringInfix, and toStringPostfix methods work. Note: The main() method accepts a single String as its argument. The String should be a prefix, infix, or postfix mathematical expression with no characters other than operators (+, -, *, and /) and operands (single characters a-z). As written, the main() method calls parsePrefix() to create an…
- Write a C++ program to implement binary search tree (BST). Your program should accept a list ofnumbers from the user (minimum 5) and then build a binary search tree from those numbers.Implement following functions: Serach function: Number is found or not leavesCount: Returns number of leaves in binary tree inorder: Print the contents of tree using inorder traversal Note: Define three files: bst.h, bst.cpp, main.cpp to solve this problemDevelop a Python program that will: 1. accept a list of integers 2. store the integers in a tree data structure 3. Display the minimum value in an efficient manner (ie. using binary tree traversal method, not linear search) 4. Display the maximum value in an efficient manner (ie. using binary tree traversal method, not linear search) Parts #1 & #2 have been done for you. See the attached starter code in P8BinaryTreeMinMax1.py Please supply the functions for #3 & #4. The min and max functionality should be coded as Python functions.in C++, create a binary search tree class using the class templatr below. class BinarySearchTree{ public:BinarySearchTree(); ~BinarySearchTree(); const int & findMin() const; const int & findMax() const; bool contains(cons tint &x) const; bool isEmpty(); void insert(const int &x); void remove(const int &x); private: struct BinaryNode{ int element; BinaryNode *left; BinaryNode *right; BinaryNode(const int &el, BinaryNode *lt, BinaryNode *rt) :element(el), left(lt), right(rt){} }; BinaryNode *root; void insert(const int &x, BinaryNode *&t) const; void remove(const int &x, BinaryNode *&t) const; BinaryNode * findMin(BinaryNode *t) const; BinaryNode * findMax(BinaryNode *t) const; bool contains(cons tint &x, BinaryNode *t) const; };