The constructed B+ index is shown on the figure below: x 與 Y 25 年 1 10 16 23 25 31 36 45 52 61 69 w N Show the state of the index after each of the following operations: a) Write the missing values x,y,w,z into the initial status of the tree
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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 codingThe constructed B+ index is shown on the figure below: Y 25 X W Z 1 10 16 23 25 31 36 45 52 61 69 Show the state of the index after each of the following operations: a) Write the missing values x,y,w,z into the initial status of the tree b) Insert entry 47 without redistribution Insert entry 20 with redistribution d) What would be the state of the tree after operations a,b,c (all without redistribution) if we used the ISAM index? You can answer this question with text or a drawing of a tree.Botathon Question 9: Code the following problem statement using python: You are given a tree that is buit in a following way: initially there is single vertex 1. All the other vertices are added one by one, from vertex 2 to vertex N, by connecting it to one of those that have been added before. You are to find the diameter of the tree after adding each vertex. Let the distance between vertexu and v be the minimal number of edges e t f you have to pass to get from u to v, then diameter is the maximum distance between any two pairs (u,v) that have already been added to the tree. Input: 2 Output: 1 2 8CSA 2017
- 11. From the following trees, select the balanced BSTS: (A BST is balanced if the height of its left and right sub-trees are different by at most one, recursively applied.) A. M D R B. A 6 10 38 55 64 P 72 91 W 92 z 123in c++ Draw the tree after the insertion of keys 33, 31, 60,90,86,81,96,87,94, 21, 11 and 18, in this order. Consider the above values and perform The Following: 1) Write code for Insertion of above values in trees. 2) perform Breadth First Search AND Depth First Search and display results. 3) Perform Preorder, in order, and post order traversal and show the outputs. 4) Write a code to delete 87 and 21, and 90 from above tree.Find the errors in the program then correct them. CODE: #include <bits/stdc++.h>using namespace std; /* A binary tree node has key, pointer to leftchild and a pointer to right child */struct Node { int key; struct Node *left, *right}; /* function to create a new node of tree andreturn pointer */struct Node* newNode(int key){ struct Node* temp = new node; temp->key = key; temp->left = temp->right = NULL; return temp;}; /* Inorder traversal of a binary tree*/void inorder(struct Node* temp){ if (!temp) return 0 inorder(temp->left); cout << temp->key << " "; inorder(temp->right)} /* function to delete the given deepest node(d_node) in binary tree */void deletDeepest(struct Node* root, struct Node* d_node){ queue<struct Node*> q q.push(root); // Do level order traversal until last node struct Node* temp; while (!q.empty()) { temp = q.front(); q.pop(); if (temp…
- PYTHON PROGRAMMING ONLY (BINARY SEARCH TREE) IF POSSIBLE USE PYCHARM AND INSTALL BINARYTREE IN PYTHON PACKAGES. Create a program that does the following:1. Generate a random binary tree with 12 elements. You can leave the perfect option asFalse.2. Print the tree.3. Test the tree properties. The documentation uses the assert statement.4. Create a binary search tree manually (not using the bst function, but instead buildingit by hand. Put at least 8 elements in it.5. Print this tree.6. Print the values in the tree in several orders (inorder, postorder, preorder, etc.)4) Draw separate trees with 8 nodes that are either: balanced; binary tree; neither of these. b. Write in pseudo-code or python program (related to PYTHON) to traverse the tree and verify if it is balanced and/or binary. (NOTE: Diagram of the tree is mandatory and write pseudo-code or python program based on the diagram. Please do not provide the answer which is already there on Chegg)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)
- 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)Which of the following statements correctly describes the diagram below? 64 66 Select one: a. 80 76 83 74 83 87 The diagram shows a binary tree of height 3 that is not a binary search tree b. The diagram shows a binary search tree of height 3 X C. The diagram shows a binary search tree of height 2 d. The diagram shows a binary tree of height 2 that is not a binary search treeIn c++ You are required to provide the following:i) Construct a binary search tree with the values:400,350,450,320,310,370,500,420,430,405,360,380,407,375,600,470,315ii) Delete the node with having 315 as ID and show the new form of BST.iii) Delete the node with having 407 as ID and show the new form of BST.iv) Delete the node with having 375 as ID and show the new form of BST.