Conclude the inorder traversal for the binary tree whose nodes in preorder and postorder are given as follows, assume the root is 20: Preorder: 20, 15, 10, 18, 17, 30, 25, 40, 35, 38, 50 Postorder: 10, 17, 18, 15, 25, 38, 35, 50, 40, 30, 20 O Skip O 10, 17, 15, 18, 20, 25, 40, 38, 35, 30, 50 10, 17, 15, 18, 20, 25, 30, 35, 38, 50, 40 O 10, 15, 17, 18, 20, 25, 30, 35, 38, 40, 50 O 10, 15, 17, 18, 20, 25, 40, 38, 35, 30, 50

Conclude the inorder traversal for the binary tree whose nodes in preorder and postorder are given as follows, assume the root is 20: Preorder: 20, 15, 10, 18, 17, 30, 25, 40, 35, 38, 50 Postorder: 10, 17, 18, 15, 25, 38, 35, 50, 40, 30, 20 O Skip O 10, 17, 15, 18, 20, 25, 40, 38, 35, 30, 50 10, 17, 15, 18, 20, 25, 30, 35, 38, 50, 40 O 10, 15, 17, 18, 20, 25, 30, 35, 38, 40, 50 O 10, 15, 17, 18, 20, 25, 40, 38, 35, 30, 50

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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7 Consider the following AVL tree; after inserting (33) what would be the right child of the node (30) 40 30 50 20 35 33 50 40
Please solve
Y6
After deleting the node with value 42 (the first one), the elements of the tree obtained via in order traversal would be 37 24 42 7 32 40 42 2 (120
There are two common traversal strategies for such trees, involving finding a walk starting at the root and containing all the verticies. Start at the root, and then for • Breadth-first search, travel to an untraversed vertex which is closest to the root. • Depth-first search, travel to an untraversed vertex that is further from the root. b Figure 2: Rooted binary tree In the rooted binary tree in Figure 2, we'll choose alphabetically when unsure. Then a breadth-first search would traverse in this order r, a, b, c, d, e, f while a depth-first search would traverse in this order r, a, c, d, b, e, f (a) Suppose T is the rooted binary tree in Figure 2. Let T' is its doubled version. Run Hierholzer's algorithm (alphabetic order when undecided). (b) Which search was this? f
1. Given these codes: 40, 12, 62,10, 15, 54, 85,105a. Create a balanced binary tree from these nodes.b. Delete the node 62 and recreate the tree to meet the binary tree standards.c. Traverse the tree in Pre-Order
Delete operation makes use of the FIND MIN operation discussed in the earliersection. The delete operation is carried out as follows:D1: If the node NODE to be deleted in the k-d tree is a leaf node, then deleteNODE.D2: If the node NODE to be deleted has DISC = i, and has a right subtree, thencall FIND MIN, to obtain the node RIGHT_MIN, which has the minimum elementalong dimension i in the right subtree and replace NODE with RIGHT_MIN.Recursively delete RIGHT_MIN from the right subtree.D3: If the node NODE to be deleted has DISC = i, and has a left subtree, thencall FIND MIN to obtain the node LEFT_MIN, which has the minimum elementalong dimension i in the left subtree and replace NODE with LEFT_MIN.Recursively delete LEFT_MIN from the left subtree. Move the revised left subtreeas the right child of the current node.illustrate a recursive pseudocode description of the delete operation in a k-d tree using above statement
7 Write an insertion algorithm for B+ tree and Construct a tree for thefollowing set of key values: 2, 3, 5, 7, 11, 17, 19, 23, 29, 31 Assumethat the tree is initially empty and values are added in ascending order.Let the number of points that will fit in one node to be 5.
Delete operation makes use of the FIND MIN operation discussed in the earliersection. The delete operation is carried out as follows:D1: If the node NODE to be deleted in the k-d tree is a leaf node, then deleteNODE.D2: If the node NODE to be deleted has DISC = i, and has a right subtree, thencall FIND MIN, to obtain the node RIGHT_MIN, which has the minimum elementalong dimension i in the right subtree and replace NODE with RIGHT_MIN.Recursively delete RIGHT_MIN from the right subtree.D3: If the node NODE to be deleted has DISC = i, and has a left subtree, thencall FIND MIN to obtain the node LEFT_MIN, which has the minimum elementalong dimension i in the left subtree and replace NODE with LEFT_MIN.Recursively delete LEFT_MIN from the left subtree. Move the revised left subtreeas the right child of the current node.illustrate a recursive pseudocode description of the delete operation in a k-d tree using above statement
Draw a binary tree forthegiven inorder and post order traversals below:In order: 1,2,3,8,10,7,5,13,9,12,6,11,4Post order: 8,3,10,2,1,7,6,12,11,9,13,4,5
Consider the B-tree above. An internal node can have 2 to 4 children. A leaf node can hold 3 to 5 keys. Show the resulting B-tree after the deletion of each one of the following in the given order: 18, 12, 33, 19 33 18 23 48 10 12 15 18 19 20 21 22 23 30 31 33 45 47 48 50 52
Consider the following binary search tree (BST). root 15 42 20 34 72 2 10 18 25 31 39 59 86 17 19 32 After executing add(6), on this tree, consider the parent node of the node that contains 6. What is the value of this parent node? 30