Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 18.2, Problem 3E
Program Plan Intro
To givesthe steps of finding the minimum key and predecessor of a stored key in B-TREE.
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The following items are inserted into an AVL tree: 1, 2, 3, 8, and 9. How many rotations are performed in total to maintain an AVL tree?
Trace the construction of an AVL tree using the insertion sequence:BOX IN YOUR FINAL AVL ANSWER50, 25, 10, 5, 7, 3, 30, 20, 8, 15
Question 7: Given a step-by-step to build a Red Black tree with sequence of 2, 1, 4, 5, 9, 3, 6, 7
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- 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.arrow_forwardShow the results of inserting the keys: F, L, O, R, I, D, A, U, N, V, M, Y, C, S in order into an empty B-tree with minimal degree 2. Draw only the configurations of the tree just before some node being split, and also draw the final configuration. Please make sure your tree configurations are drawn neatly and are easy to read and understand.arrow_forwardInsert H, C, F, D, O, L, I, M, B, J, A, P into an empty 2-3 Tree.(show the steps)arrow_forward
- 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).arrow_forwardWhat is the maximum height of a 2-3 tree with n keys? Give the reasoning in terms of n.arrow_forwardExplain the concept of a full binary tree and a complete binary tree. How are they different, and what are their characteristics?arrow_forward
- for the following sequence of keys, do the following: MBX, EXB, GBX,…, ABX, AXB,…, QXB, YXB, … . 2. Build an AVL tree showing all steps in details.arrow_forwardExplain what is the minimum possible depth of a d-ary tree ?arrow_forwardGiven the B-tree below, what is the final tree after deleting 5, 7, 23 using inorder successor? Write the answer in a paper and explain every process.arrow_forward
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