On his way back from detention, Harry runs into his friend Hermione. He is upset because Professor Snape discovered that his sorting spell failed. Instead of sorting the papers correctly, each paper was within k slots of the proper position. Hermione immediately suggests that insertion sort would have easily fixed the problem. In this problem, we show that Hermione is correct (as usual). As before, A[1 .n] in an array of n distinct elements. Show that sorting a list in which each paper is within k slots of its proper position takes N (n log k) comparisons. Hint: Use the decision-tree technique.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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On his way back from detention, Harry runs into his friend Hermione. He is
upset because Professor Snape discovered that his sorting spell failed. Instead
of sorting the papers correctly, each paper was within k slots of the proper
position. Hermione immediately suggests that insertion sort would have easily
fixed the problem. In this problem, we show that Hermione is correct (as usual).
As before, A[1 ..n] in an array of n distinct elements.
Show that sorting a list in which each paper is within k slots of its proper
position takes N (n log k) comparisons. Hint: Use the decision-tree technique.
Transcribed Image Text:On his way back from detention, Harry runs into his friend Hermione. He is upset because Professor Snape discovered that his sorting spell failed. Instead of sorting the papers correctly, each paper was within k slots of the proper position. Hermione immediately suggests that insertion sort would have easily fixed the problem. In this problem, we show that Hermione is correct (as usual). As before, A[1 ..n] in an array of n distinct elements. Show that sorting a list in which each paper is within k slots of its proper position takes N (n log k) comparisons. Hint: Use the decision-tree technique.
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