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- -- > In C++ write a program without using classes, and build in functions, only use structure.!!!!!! Populate a tree via a text file (input.txt) Make sure that after every insert, the tree is balanced.At the end, display the tree in level format. Make sure to include the height and the balancefactor of every node in your output. Redirect the display to an output file (output.txt)Hint://I will not accept any other algorithm//This is not a recursive algorithmnode * rebalance(node *node){node->height = max(height(node->left), height(node->right)) + 1;int balance = getBalance(node); //node->left - node->right/*do rotations as necessaryIf Left heavy outside : return rightRotate(node);If right heavy outside: return leftRotate(node);If left heavy inside: left rotation first, right rotation 2nd, return top nodenode->left = leftRotate(node->left);return rightRotate(node);if right heavy inside: right rotation first, left rotation 2nd, return top nodenode->right =…22.........a) Write a program that asks the user to enter the number of vertices in a directed graph and then the adjacency matrix representing the directed graph. The program, then, must display the node with the highest outdegree. Assume that nodes are named as 0, 1, 2, and so on.asapComplete the following problem in C++. Build a binary search tree using the following data shown below. Show the root node value, the left & right pointers value, the subscripts order and balance factor value all in a table chart format. Given data: Data = 5, 10, 4, 2, 16, 7, 1 20 15, 3 in this order, no presorting.
- Part II: Implement text compression. In this part, use a text file as input, read through the text file, calculate the frequencies of each character, apply your Huffman Algorithm to encode the text file into a new file. You program should have the following functions, besides the above functions. Encode: takes a text file name, calls the Huffman coding algorithm, traverse the tree to get the code word, and then encode the text file into a new file. Decode: takes a prefix tree, and an encoded file, decode the file. What to turn in: Well documented source code in C++. Run your algorithm for 20 files and show the compression ratio of the size of the original file and the size of the compressed file. Show the ratios in the table. //code // C++ program for Huffman Coding #include <iostream> #include<queue> #include<vector> #include<string> #include<map> using namespace std; /*structure to represent node of huffman tree*/ struct node { // One of the…1. Do some research about binary search trees. 2. Create a structure in C for the nodes of this tree. Which variables do the structure have? 3. Write a function that builds a balanced binary search tree. The input argument of this function is a sorted array of integers. 4. Write a recursive function that inserts a new element to the tree. The input argument of this function is a pointer to the head node of the tree. 5. What is the time complexity of this insertion function?C++ PROGRAM: Please complete my program Implement the 4 functions: bool search(int num), bool insert (int num) , bool remove(int num), bool isEmpty bstree.h #include "tree.h"#include <iostream>using namespace std;class BSTree { BTree* tree; public: BSTree() { tree = new BTree(); } //////////////////////////////////////////////// bool search(int num) { }//////////////////////////////////////////////// bool insert(int num) { // TODO insert }//////////////////////////////////////////////// bool remove(int num) { // TODO remove }/////////////////////////////////////////////// // WARNING. Do not modify this method. void print() { if (isEmpty()) { cout << "EMPTY"; return; } cout << "PRE-ORDER: "; print_preorder(tree->getRoot()); cout << endl << "IN-ORDER: "; print_inorder(tree->getRoot()); cout << endl…
- C++ PROGRAM: Please complete my program Implement the 4 functions: bool search(int num), bool insert(int num) , bool remove(int num), bool isEmpty bstree.h #include "tree.h"#include <iostream>using namespace std;class BSTree { BTree* tree; public: BSTree() { tree = new BTree(); } //////////////////////////////////////////////// bool search(int num) { }//////////////////////////////////////////////// bool insert(int num) { // TODO insert }//////////////////////////////////////////////// bool remove(int num) { // TODO remove }/////////////////////////////////////////////// // WARNING. Do not modify this method. void print() { if (isEmpty()) { cout << "EMPTY"; return; } cout << "PRE-ORDER: "; print_preorder(tree->getRoot()); cout << endl << "IN-ORDER: "; print_inorder(tree->getRoot()); cout << endl…Explain and diagrammatically illustrate the given program. #include<iostream>using namespace std; struct Tree_Node{ char Data; Tree_Node* Left; Tree_Node* Right; Tree_Node() { Data='0'; Left=NULL; Right=NULL; } Tree_Node(char Data) { this->Data=Data; Left=NULL; Right=NULL; } };Problem Statement: Write a program which should create a binary search tree of the values entered by the user and then write functions that perform following functionalities. Traversal: 1. Inorder 2. Preorder 3. Postorder 4. Level order (Breadth first search) Functions that find the following: For every algorithm, root node is given as input along with any other input (if mentioned). 1. To find and return parent of given node? 2. To find and return depth/level of given node? 3. To find and return height of tree? 4. To find if two nodes are at same level of tree or not? 5. To find and return total number of nodes? Your assignment should contain followings. Title page Problem statement Code Screen shots for each option/functionality
- Tree Traversal Coding: How do I code the following in C program? // ====== BEGIN INSERT FUNCTION DEFS TO WALK TREE ========= // define 3 functions - preorder, inorder, postorder to walk tree, printing out data (char) // associated with each node visited: void preorder (node* np) {} void inorder (node* np) {} void postorder (node* np) {} walk.c file with the rest of the code given. #include <stdio.h> #include <stdlib.h> #include <stdbool.h> #include <string.h> #define MAX_STRING 200 // ========================== NODE/TREE DEFINITIONS ========================== // define node structure typedef struct nd { int data; struct nd* left; struct nd* right; } node; // "new" function to create a node, set data value to d and children to NULL node* newNode(int d) { node* np; np = (node*)malloc(sizeof(node)); if (np != NULL) { np->data = d; np->left = NULL; np->right = NULL; } return(np); } // declare root of our binary tree…Answer the following in data structure A. Write a program to insert data into a Binary Search Tree (BST). B. Write functions for two primary operations in the stack Push ( ) and Pop ( ). C. Write a function to search data in a binary tree. D. Write a function to find minimum value in a binary search tree.1.) Design a Binary Search Tree ADT by using following functions. Include the function definitions & run the program (Kindly include header files as well). Paste the output as a screenshot and write the code in your answer sheet. insert(int val)find(int x)************************************************************************************ class btNode { public: int info; btNode *lLink; btNode *rLink; btNode(int e, btNode *l = NULL, btNode *r = NULL) { info = e; lLink = l; rLink = r; } btNode() { lLink = NULL; rLink = NULL; } }; class binarySTADT { private: btNode *root; int count = 0; public: binarySTADT() { root = NULL; } void insert(int val); // function to insert a given value in the tree.…