Insert the following numbers from left to right into an initial empty BST. 20, 15, 17, 13, 18
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- Computer Science Exercise: shape [★★★] Write a function same_shape : 'a tree -> 'b tree -> bool that determines whether two trees have the same shape, regardless of whether the values they carry at each node are the same. Hint: use a pattern match with three branches, where the expression being matched is a pair of trees. please use Ocaml for the codingPlace the following sequence of elements in an empty binary search tree (BST): 26, 44, 63, 83,17, 19, 8, 41, 37, 21, 14, 5, 13, 16. Below are a number of questions about the resulting binary search tree. Indicate which statement (s) are correct. A. The leaves of the tree contain elements 5, 13, 16, 21, 37 and 83. B. The leaves of the tree contain elements 5, 13, 16, 19, 37 and 83. C. The tree has a height of 3. D. A BST containing 14 elements has a height of at least 3 and at most 13. Group of answer options Only statements B and D are correct. Only statements B, C and D are correct. Only statement D is correct. Only statements A, C and D are correct. Only statements A and D are correct.Q4: Is BST Write a function is_bst, which takes a Tree t and returns True if, and only if t is a valid binary search tree, which means that: Each node has at most two children (a leaf is automatically a valid binary search tree) The children are valid binary search trees • For every node, the entries in that node's left child are less than or equal to the label of the node • For every node, the entries in that node's right child are greater than the label of the node
- 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 asH.w2: the following figure shows an array representation for a binary tree: L X W E A H M Draw this tree Traverse the tree using Depth-First Traversal and Breadth-First TraversalH.w2: the following figure shows an array representation for a binary tree: ZLXW E T A HM • Draw this tree • Traverse the tree using Depth-First Traversal and Breadth-First Traversal
- 3. Given the binary tree, please describe the Inorder traversal algorithm and output the binary tree's Inorder traversal sequence. 10 1 40 1 20 1 1 50 30C Programming language Binary Search Tree Empirical and Theoretical Results Part 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.…8. sum_binary_tree For this function, we are using a data structure called a binary tree, which is useful for storing all different kinds of data. In this problem a binary tree contains a single number, and it has two children, each of which may be either None, or they may be more binary trees. You can see, this is a recursively defined data structure! To recap: each binary tree contains a number and two children. The children are either None or a BinaryTree object. In this function we want to sum up all of the numbers contained in a binary tree and its children (recursively). Sample calls should look like this: >>> sum_binary_tree(BinaryTree(10, None, None)) 10 >>> sum_binary_tree(BinaryTree(10, None, BinaryTrate (10, None, BinaryTree(10, None, None)))) 30 >>> sum_binary_tree(None)
- In JAVA code Write an algorithm for deleting a node of a Binary Search Tree. Take note that the Binary Search Tree property must be satisfied after a node is removed from a Binary Search Tree.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.8. sum_binary_tree For this function, we are using a data structure called a binary tree, which is useful for storing all different kinds of data. In this problem a binary tree contains a single number, and it has two children, each of which may be either None, or they may be more binary trees. You can see, this is a recursively defined data structure! To recap: each binary tree contains a number and two children. The children are either None or a BinaryTree object. In this function we want to sum up all of the numbers contained in a binary tree and its children (recursively). Sample calls should look like this: | >>> sum_binary_tree(BinaryTree(10, None, None)) 10 >>> sum_binary_tree(BinaryTree(10, None, BinaryTree(10, None, BinaryTree(10, None, None)))) 30 >>> sum_binary_tree(None)