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- Programming Language: C Programming 1. Make a code of implementation of the Binary Tree program and explain each line on how it works NOTE: it's Binary Tree , NOT Binary Search Treealgorithm SearchBST(tree, keyToFind)pre-cond: tree is a binary tree whose nodes contain key and data fields.keyToFind is a key. post-cond: If there is a node with this key in the tree, then the associated datais returned.algorithm DepthFirstSearch (G, s) pre-cond: G is a (directed or undirected), graph, and s is one of its nodes. post-cond: The output is a depth-first search tree of G rooted at s.
- Preorder traversal is one way to perform a depth-first search on a tree. (True or False) True FalseInput order: Student ID: Islam, Md. Rashedul Tree input order: 5,4,1,9,2,3,8,6,7 Part A:Build a Binary Search Tree with the given input order. You must show step by stepprocess of inserting the inputs including both recursive calls and tree diagrams foreach step. [ refer to the InsertItem function of Lecture10 slides to get an idea ofdoing this.]N.B: Unique Input orders for each student to build the tree are given on a separatefile. Write down the input order on your answer script before answering the question.You must use the assigned input order. Do not change the order. InserItem function: void Insert(TreeNode *&tree, ItemType item) { if (tree == NULL)//Base case:Insertion place found. { tree = new TreeNode; tree->right = NULL; tree->left = NULL; tree->info = item; } else if (item < tree->info) Insert(tree->left, item);//General case 1:Insert in left subtree. else Insert(tree->right, item);//General case 2:Insert in right…Course: Data Structure and Algorithms Language: Java Topic: AVL Tree Kindly solve this question prperly step by step and complete. AVL Tree basics Draw the AVL tree after performing each of the following operations consecutively on an initially empty binary search tree: insert 8, insert 6, insert 12, insert 3, insert 10, insert 9, delete 12, delete 8, insert 7, insert 8. If you delete an item from an AVL tree and then insert it back into the tree, will you always get back the original AVL tree? Justify your answer.
- A tree can also be represented using an array, which is called —- representation A) asymmetric B) random C) symmetric D) sequentialSearch Trees: Trees extend from binary to b-nary treeBinary Search Tree Empirical and Theoretical ResultsPart 1: we need to define a binary search tree data structure. Also, we need to implement the following functions:1. Insert Sorted: BSTREE insert(BSTREE root, int num): root points to a node in a binary search tree; num is a number to be inserted in the tree rooted at “root”. This function returns the root of the modified tree.2. Print Elements: void inorder traversal(BSTREE root, FILE *fp): root points to a node in a binary search tree. This function does not return anything, but prints out, to the file specified, the nodes in the tree rooted at “root” by performing an inorder traversal.
- Algorithm Design 1. In-order traversal a binary tree in two ways. 1) Use recursive method 2) Use iterative methodBinary Search Tree Empirical and Theoretical ResultsPart 1: we need to define a binary search tree data structure. Also, we need to implement the following functions:1. Insert Sorted: BSTREE insert(BSTREE root, int num): root points to a node in a binary search tree; num is a number to be inserted in the tree rooted at “root”. This function returns the root of the modified tree.2. Print Elements: void inorder traversal(BSTREE root, FILE *fp): root points to a node in a binary search tree. This function does not return anything, but prints out, to the file specified, the nodes in the tree rooted at “root” by performing an inorder traversal. Part 2: Test the performance of the designed data structure using theoretical and experimental approaches as follows:1. Dataset 1-Dataset is sorted- Add code to insert the numbers 1...n in that order in an initially empty doubly linked list and a binary search tree.a. Run it on different values of n where :i. n = 20,000ii. n = 50,000iii. n =…solve all parts Construct binary search tree from following data 23, 13, 14, 2, 4, 10, 5, 17, 8, 2, 7, 18, 11, 6, 25 (b) Insert 9,14 into above binary search tree and write code for it (c) Delete 2 ,7 and 25 from the above tree and write code for it