For the B+-tree where M=3 and L=5 shown below, show how an insert of value 77 is handled.Use the method of splitting the node rather than redistributing between siblings.|| 24 || 75 |||| 10 || 16 |||| 41 || 50 |||| 84 || 90 ||2101624415075849011182642657886929314203045707987477200 00 00

“77” is greater than “24” and it is also greater than “75”. So it will go to the internal node that…

Answered: For the B+-tree where M=3 and L=5 shown…

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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Draw a K-d tree for the following points inserted in this order (assume the root is an even level and that we use x coordiantes for the odd levels, y coordiantes for even levels): (10, 10) (5, 5) (8, 4) (12, 18) (15, 8)
A completely full B Tree with n=4, l=10 and height=2 (has levels 0, 1, 2) can have how many unique keys (Assume unique values are inserted)? Assume 0 based height. A tree with a single root node has a height = 0. n = maximum children a node can have l = maximum keys a node can have What is the maximum number of unique keys that it can hold? Calculate and give you answer here: _______
a)Draw a red-black tree for the following values inserted in this order. Illustrate each operation that occurs: 11 20 30 28 16 13 55 52 26 50 87 b) Draw a 2-3-4 B-tree that corresponds to your red-black tree in problem a).
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Show the result of inserting 30, 10, 40, 60, 90, 20, 50, 70 into an initially empty binary search tree. b) Is the above tree a full binary tree? Why? Why not? c)Draw the subtree with the root node as 60.
Draw the BST constructed by inserting the values [53, 25, 11, 63, 4, 88,59, 3, 15, 82, 92, 27, 55, 14] in the order shown, into an initially empty tree. 2. Using the tree traversal algorithms and the BST from above, show theoutput sequence for a (a) Preorder traversal(b) Postorder traversal 3. Delete the node with value 25 and draw the resultant tree.(a) Use two methods to delete the node with value 25 and draw the resul-tant tree. also describe both methods that you have used
Form a B-tree with t = 4 by inserting in order nodes with the following keys: I,W,A,N,T,T,O,P,A,S,S,T,H,I,S,T,E,S,T, Draw the B-tree obtained after each improvement.
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This exercise is about drawing BSTs. You are asked to: Show the result of inserting 3, 1, 4, 6, 9, 2, 5, and 7 in an initially empty binary search tree. Then show the result of deleting the root. Draw all binary search trees that can result from inserting permutations of 1, 2 and 3. How many types of trees are there? What are the probabilities of each type of tree’s occurring if all permutations are equally likely Given the input {4371, 1323, 6173, 4199, 4344, 9679, 1989}, a fixed table size of 10, and a hash function H(X) = X mod 10, show the resulting Linear probing hash table Separate chaining hash table
Exercise 4 Consider the B-tree which is a result of inserting 15,14,1,2,13,12,3,4,11,10,5,6,9, (in that order) for t = 2. (a) Draw the trees before and after adding 9. (b) Draw the final tree after adding all numbers. (c) Next draw the tree after removing 14.
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