Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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- 7. Draw an AVL tree of height 3 with the smallest possible number of nodes. Then draw an AVL tree of height 4 with the smallest possible number of nodes. In pseudocode, write a function that returns the number of nodes in the smallest possible AVL tree of height h. You may assume that only valid heights from -1 up to 25 will be supplied. Write your solution below. function minAvlSize (int height)arrow_forwardGiven a reference to a binary tree t. I am trying to write a python function using recursion that will check if an integer called k is stored in a leaf node in the tree. if not stored it should return false but if it is I want it to return True. starting function: def in_leaf(t,k):arrow_forward= 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.arrow_forward
- I am to write a function that receives the root of a binary tree t and a number k and determine if the node where k is stored is the left child of its parent. if k is not in the tree, or does not have a parent, or is a right child the function should return false. Starting code: def is_left_child(t,k): parent, x = t.find(k, return_parent = True) return Falsearrow_forwardThe purpose of this assignment is to practice (JAVA): Implement a binary search tree structure Demonstrate tree traversals Analyze and compare algorithms for efficiency using Big-O notation For this project, you will implement a binary search tree and use it to store a large text file (JAVA). Your program should read text from a file and insert each word in a binary search tree. Do not store duplicate text. Once the tree is populated, print the contents of the tree using an in-order traversal. Next, allow the user to enter words to search for. For each word entered, your program should report the number of elements inspected and whether or not the word was located. Next, allow the user to enter words to remove from the tree. After each removal, print the contents of the tree. Provide an analysis of your remove and search algorithms using Big-O notation. Be sure to provide justification for your claims. (Look at image attached for sample run)arrow_forwardC++ You are given the root node of a binary search tree (BST) and a value to insert into the tree. Return the root node of the BST after the insertion. It is guaranteed that the new value does not exist in the original BST. Example 1: diagram for example 1 attached Input: root = [4,2,7,1,3], val = 5 Output: [4,2,7,1,3,5] Explanation: Another accepted tree is: Example 2: Input: root = [40,20,60,10,30,50,70], val = 25 Output: [40,20,60,10,30,50,70,null,null,25] Example 3: Input: root = [4,2,7,1,3,null,null,null,null,null,null], val = 5 Output: [4,2,7,1,3,5] Constraints: The number of nodes in the tree will be in the range [0, 104]. -108 <= Node.val <= 108 All the values Node.val are unique. -108 <= val <= 108 It's guaranteed that val does not exist in the original BST.arrow_forward
- 1. Create a Java program that prompts the user the initial choices for the Binary Search Treea. User chooses 1: Insert, User chooses 2: Delete, User chooses 3: Show BinaryTree, User chooses 4: Exit Program 2. Insertion in a tree should be such that it obeys the main properties of the binary searchtree. The basic algorithm should be:a. If the node to be inserted is greater than the existing root, move down a levelthrough the right pointer of the root.b. If the node to be inserted is lesser than the existing root, move down a levelthrough the left pointer of the root.c. Repeat this process for all nodes till the leaves are reached.d. Insert the node as the left or right pointer for the leaf (based on its value - if it issmaller than the leaf, it should be inserted as the left pointer; if it is larger than theleaf, it should be inserted as the right pointer) 3. Deletion is a bit more complicated than insertion because it varies depending on the nodethat needs to be deleted from the…arrow_forwardRewrite the definition of the function searchNode of the class B-tree provided (bTree.h) by using a binary search. Write a C++ code to ask the user to enter a list of positive integers ending with -999, build a b- tree of order 5 using the positive integers, and display the tree contents. Also, ask the user to enter a number to search and display if the number is found in the tree. bTree.harrow_forwardCan help in Java? Qustion : Using Binary search tree write a Java program to Insert and print the element in (in-Order traversal ), then search the elements (a and z) in the tree… provided that user enters the values.arrow_forward
- = 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.arrow_forwardPlease show work C++arrow_forward4. Write a recursive algorithm in pseudocode that finds the lowest common ancestor (LCA) of two given nodes in a binary tree T. The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself). If either p or q is null, the LCA is null. For this problem, Nodes have left, right, and parent references as well as a field called level which stores the level of the node in the tree. In the sample tree below, node 5 is on level 0, while nodes 4 and 6 are on level 1. Write your solution here. 5 <- level 0 4 6 < level 1 function lowest_common_ancestor (Node P, Node q)arrow_forward
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