Introduction to Algorithms
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 13.4, Problem 1E
Program Plan Intro

To argue that after executing RB-DELETE-FIXUP procedure, the root of the tree must be black.

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In a B+-tree, it always requires reorganizing the entire index file to maintain performance. True or False?
(a) You have an empty binary search tree. After that, you do the following sequence of insertions:20, 30, 10, 50, 40, 60. Draw the status of the binary search tree after the first 3 insertions, and at the endof all 6 insertions (you only need to show 2 trees). (b) Start now with a binary search tree with a single node containing an unknown key X. You mustchoose the value X so that if you later add the 6 keys in question 1(a) in the same order, you get aperfect tree with 7 nodes. Give a value for X and show the final tree obtained.
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
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