= Suppose that we have a B and the size of the search key field V is equal to 10 bytes, the size of the data (record) pointer Pr 6 bytes, and the tree (block) pointer P is 5 bytes and the value of p (the order or the maximum number of a tree pointers in a node) is equal to 20 for an internal node. a) Calculate the block size (B) b) Suppose that we have a B- tree instead of B and based on the block size found in question (a), calculate the order (p) for an internal node in this case.
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- Answer the following questions about treeB. a. What is the height of the tree? b. Which nodes are on level 3? c. Which levels have the maximum number of nodes that they could contain? d. What is the maximum height of a binary search tree containing these nodes? Draw such a tree. e. What is the minimum height of a binary search tree containing these nodes? Draw such a tree. f. What is the order in which the nodes are visited by an ignorer traversal? g. What is the order in which the nodes are visited by a preorder traversal? h. What is the order in which the nodes are visited by a postorder traversal?Consider the initial B+ tree index shown below. The number of pointers in a node is 3. Draw the B+ tree for each of following operations (in total there should be two trees): (1) insert ‘10’; (2) delete ‘17’. (Each of the operations, besides (1), must be performed on the B+ tree drawn for the previous operation and (1) must be performed on the following B+ tree). I need the carrect answer as soon as possible pleaseCreate a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree,return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space,set the pointer as NULL Else// if the input is not a space,generate the binary node and create its left…
- Construct a Binary Search Tree (BST) using the data provided in shaded row and name it “BST-1”. 50 45 65 60 75 90 15 35 70 45 55 40 20 80 95 85 25 50 74 5 Provide answers to the following considering your constructed BST-1: Write a C++ code for the in-order traversal of BST-1. Also, dry run your code on it and elaborate its each step. Compute the total number of used and unused (null) references defined in BST-1. And construct an equivalent two-way in-order threaded BST-1 that has minimum number of null references.Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follow: //PICTURE// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree.Draw a binary search tree and AVL tree from the following traversals: {15, 5, 20, 70, 3, 10, 60, 90, 16} Convert Binary Search Tree into Binary Tree such that sum of all greater keys is added to every key. Write a code to Convert Binary Search Tree drawn into Balanced Binary Search TreeNOTE: Code is required in Java
- Consider a simple data structure called BiNode, which has pointers to two other nodes. The data structure BiNode could be used to represent both a binary tree (where node1 is the left node and node2 is the right node) or a doubly linked list (where node1 is the previous node and node2 is the next node). Implement a method to convert a binary search tree (implemented with BiNode) into a doubly linked list. The values should be kept in order and the operation should be performed in place (that is, on the original data structure).Consider a simple data structure called BiNode, which has pointers to two other nodes. The data structure BiNode could be used to represent both a binary tree (where node1 is the left node and node2 is the right node) or a doubly linked list (where node1 is the previous node and node2 is the next node). Implement a method to convert a binary search tree (implemented with BiNode) into a doubly linked list. The values should be kept in order and the operation should be performed in place (that is, on the original data structure). in c++ languageSuppose that instead of each node x keeping the attribute x.p, pointing to x’s parent, it keeps x.succ, pointing to x’s successor. Give pseudocode for SEARCH, INSERT, DELETE, and EDIT routine on a binary search tree T using this representation. These procedures should operate in time O(h), where h is the height of the tree T. (Hint: You may wish to implement a subroutine that returns the parent of a node.) Show these types of pseudocode using java. Data structures and algorithms
- Which of the following is not true about binary search trees?a)A binary search tree can not be empty.b)For a node "n" in a a binary search tree, n's value greater than all values in its left subtree.c)A binary search tree is a binary tree that is sorted according to the values in its nodes.d)All nodes within a binary search tree are binary search trees.In DrRacket: Define the difference between Binary Search Trees and Nodes? A) A Binary Search Tree is a Node, but a Node isn’t always a Binary Search Tree. B) A Node is a Binary Search Tree, but a Binary Search Tree isn’t always a Node. C) Binary Search Trees may contain Nodes, but Nodes cannot contain Binary Search Trees. D) Nodes may contain Binary Search Trees, but Binary Search Trees cannot contain Nodes. E) They are the same thingSuppose T is a binary tree with 17 nodes. What is the minimum possible depth of T? 1 3 4 2 A binary tree of N nodes has _______. Log2 N levels N / 2 levels Log10 N levels N x 2 levels The difference between a binary tree and a binary search tree is that : in binary search tree nodes are inserted based on the values they contain none of these in binary tree nodes are inserted based on the values they contain a binary search tree has two children per node whereas a binary tree can have none, one, or two children per node What is the best code for the following procedure: AddStudent(studentName):add a new student to an array of alphabetically ordered names . Hint: We must shift some students. size contains the number of students in the array AddStudent(studentName){ int i ; for( i=0; i< size-1; i++){ if(arr[i].compareTo( studentName)>0) break; for(int j= size-1 ; j >i…