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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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
Suppose that we have an estimate ahead of time of how often search keys areto be accessed in a BST, and the freedom to insert them in any order that we desire.Should the keys be inserted into the tree in increasing order, decreasing order of likely frequency of access, or some other order? Explain your answer.
Given the following key sequence (6,22,9,14,13,1,8) build the dynamic binary search tree WITHOUT BALANCING IT. How many probes (i.e., comparisons) does it take to determine that key 100 is not in the tree? (In this study case, the root is 6; the next element 22 > 6, so it goes to the right, etc).   DEPTH counting starts at 1 at the root
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