Introduction To Algorithms, Third Edition (international Edition)
Introduction To Algorithms, Third Edition (international Edition)
3rd Edition
ISBN: 9780262533058
Author: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein
Publisher: TRILITERAL
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Chapter 17, Problem 3P

(a)

Program Plan Intro

To explain the rebuild the sub-tree rooted at node x so that it becomes 1/2-balanced.

(b)

Program Plan Intro

To explain performing a search in an n-node α balanced binary search tree take worse-case time of O(lgn) .

(c)

Program Plan Intro

To argue that any binary tree has nonnegative potential and that a 1/2 balanced tree has potential 0.

(d)

Program Plan Intro

To explain the value of c in terms of α in order for it to take O(1) amortized time to rebuild a sub-tree that is not α balanced.

(e)

Program Plan Intro

To show that inserting a node into or deleting a node from an n -node α balanced tree cost O(lgn) amortized time.

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