Create the corresponding counting trees with the following traversals: 1. Pre: IAMHEDBCFL Post: EHDMALFCBI In: AHEMDICFLB 2. Pre: ABDGCEHIF In: DGBAHEICF 3. Post: CBFEGDA In: CBAEFDG 4. Post: FABG/+CD - ^* In: F/AGB*+^C-D
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Create the corresponding counting trees with the
following traversals:
1. Pre: IAMHEDBCFL
Post: EHDMALFCBI
In: AHEMDICFLB
2. Pre: ABDGCEHIF
In: DGBAHEICF
3. Post: CBFEGDA
In: CBAEFDG
4. Post: FABG/+CD - ^*
In: F/AGB*+^C-D
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- Create a Binary Search Tree Class with the following four Operations using a single C++ program: Operations: 1. Insert(int n) : Add a node the tree with value n. Its O(lgn) 2. Find(int n) : Find a node the tree with value n. Its O(lgn) 3. Delete (int n) : Delete a node the tree with value n. Its O(lgn) 4. Display(): Prints the entire tree in increasing order. O(n).Create a Binary Search Tree Class using C++ with the following Operations: Operations: Insert(int n) : Add a node the tree with value n. Its O(lgn) Find(int n) : Find a node the tree with value n. Its O(lgn) Delete (int n) : Delete a node the tree with value n. Its O(lgn) Display(): Prints the entire tree in increasing order. O(n).Help me in C++ please: Write a program (in main.cpp) to do the following: a. Build a binary search tree T1. b. Do a postorder traversal of T1 and, while doing the postorder traversal, insert the nodes into a second binary search tree T2 . c. Do a preorder traversal of T2 and, while doing the preorder traversal, insert the node into a third binary search tree T3. d. Do an inorder traversal of T3. e. Output the heights and the number of leaves in each of the three binary search trees. The program should accept input and produce output similar to the example below: Enter numbers ending with -999: 10 5 7 -999 tree1 nodes in postorder: 7 5 10 tree2 nodes in preorder: 7 5 10 tree3 nodes in inorder: 5 7 10 tree1 height: 3 tree1 leaves: 1 tree2 height: 2 tree2 leaves: 2 tree3 height: 2 tree3 leaves: 2 The program has 3 tabs: main.cpp , binarysearchTree.h , and binaryTree.h
- BST - Binary Search Tree - implement a BSTNode ADT with a data attribute and two pointer attributes, one for the left child and the other for the right child. Implement the usual getters/setters for these attributes -implement a BST as a link-based ADT whose data will be Dollar objects - the data will be inserted based on the actual money value of your Dollar objects as a combination of the whole value and fractional value attributes. - BST, implement the four traversal methods as well as methods for the usual search, insert, delete, print, count, isEmpty, empty operations and any other needed. - BST - Binary Search Tree - implement a BSTNode ADT with a data attribute and two-pointer attributes, one for the left child and the other for the right child. Implement the usual getters/setters for these attributes -implement a BST as a link-based ADT whose data will be Dollar objects - the data will be inserted based on the actual money value of your Dollar objects as a combination of the…1) Create a binary tree for the sequence of letters: D A T S R U C E I M P O N and another for letters: 2) Create all binary trees templates (structures) with a size of 4 (identify how many are distinct) 3) Create a binary tree for the sequence of letters: S E A R C H B I N Y T U L D. Draw the tree. Search for D (show on the tree which nodes were visited). Search for M (show on the tree which nodes were visited). 4)Create a binary tree for the sequence of letters: D E L T K Y N S A R C H. Draw the tree. Delete the key A (show the tree obtained). Delete the key L (show the tree obtained). Delete the key E (show the tree obtained).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.
- #ifndef BT_NODE_H#define BT_NODE_H struct btNode{ int data; btNode* left; btNode* right;}; // pre: bst_root is root pointer of a binary search tree (may be 0 for// empty tree) and portArray has the base address of an array large// enough to hold all the data items in the binary search tree// post: The binary search tree has been traversed in-order and the data// values are written (as they are encountered) to portArray in// increasing positional order starting from the first elementvoid portToArrayInOrder(btNode* bst_root, int* portArray);void portToArrayInOrderAux(btNode* bst_root, int* portArray, int& portIndex); // pre: (none)// post: dynamic memory of all the nodes of the tree rooted at root has been// freed up (returned back to heap/freestore) and the tree is now empty// (root pointer contains the null address)void tree_clear(btNode*& root); // pre: (none)// post: # of nodes contained in tree rooted at root is returnedint…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; };Assume the above tree is a binary search tree, a) Show the tree after removing node h; b) Show the tree after removing node f; c) Show the tree after removing node a; Please do part a b and c (Note, each small question is independent.)
- Complete the TODOs in C++ 1. Implement sumNodes function which sums the data of all the nodes of the tree. (Silver Problem)2. Implement printLeafNode function which prints just the leaf nodes of thetree. (Gold Problem) (.hpp file in image) 1st code is driver.cpp #include <iostream> #include "tree.hpp" using namespace std; #define COUNT 10 int main() { Treet; t.createTree(); //cout<<t.root->data<<endl; t.print2DUtil(t.root, 0); // 1, 2, 4, 5, 3, 6, 7 cout<<"\nPreorder traversal of binary tree is \n"; t.preOrderTraverse(t.root); cout<<endl; /********************** Silver problem ***********************/ cout<<"\nSum of all the nodes in tree is: "<<t.sumNodes(t.root); cout<<endl; /********************** Gold problem ***********************/ cout<<"\nPrinting leaf nodes of the tree \n"; t.printLeafNode(t.root); cout<<"\nDeleting the tree \n"; t.deleteTree(t.root); t.root=NULL; cout<<endl; return0; } 2nd code:…Add to the BinarySearchTree class a member function string smallest() const that returns the smallest element of the tree. Provide a test program to test your function. #include <iostream>#include <string>using namespace std;class TreeNode{public:void insert_node(TreeNode* new_node);void print_nodes() const;bool find(string value) const;private:string data;TreeNode* left;TreeNode* right;friend class BinarySearchTree;};class BinarySearchTree{public:BinarySearchTree();void insert(string data);void erase(string data);int count(string data) const;void print() const;private:TreeNode* root;};BinarySearchTree::BinarySearchTree(){root = NULL;}void BinarySearchTree::print() const{if (root != NULL)root->print_nodes();}void BinarySearchTree::insert(string data){TreeNode* new_node = new TreeNode;new_node->data = data;new_node->left = NULL;new_node->right = NULL;if (root == NULL) root = new_node;else root->insert_node(new_node);}void TreeNode::insert_node(TreeNode*…Input.txt contains 1 2 3 5 8 13 21 34 55 89 Binary node.java contains import test.BinaryNode; // 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. */…
