Preorder traversal is one way to perform a depth-first search on a tree. (True or False) True False
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- Java Binary Search Trees I need help with the InsertionPoint method in a binary search tree. Helper method for the insert() method. This method finds and returns the correct parent of the new key value. If the key value already exists, throw a DuplicateItemException with an appropriate error message. @param key The value to insert into the tree. @return The parent node of the new value @throws DuplicateItemException the code is this private BSTNode<E> insertionPoint(E key) throws DuplicateItemException { //TODO: Implement this method. return null; }The operation of processing each element in the structure is known as: Sorting Searching Inserting TraversalProgramming 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 Tree
- True or false: In a Binary Tree, a node may have a degree greater than 2. True FalseTrue or False: Any node in a tree can be viewed as being the root of its own tree.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.
- struct insert_into_bst { // Function takes a constant Book as a parameter, inserts that book indexed by // the book's ISBN into a binary search tree, and returns nothing. void operator()(const Book& book) { // // TO-DO (7) ||| ///// // Write the lines of code to insert the key (book's ISBN) and value // ("book") pair into "my_bst". END-TO-DO (7) | } std::map& my_bst; };Binary 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 =…True or False: The largest element in any non-empty BST always has no right child. True or False: The smallest element in any non-empty BST always has no right child. A tree node that has no children is called a node. The children of a same parent node are called as