Merge with Insertion Sort (yes, the insertion sort you learned in class). The following is the pseudo-code of the new Merge-Sort, Merge-Sort (p, r) 1. if 2. 9 == r return floor of (p+ r) / 2 3. Merge-Sort(p, q) 4. Merge-Sort(q+1, r) 5. Insertion-Sort(p, r) Give the recurrence for the running time of this new Merge-Sort and solve it. We let T(n) denote the running time when input array has n elements.
Merge with Insertion Sort (yes, the insertion sort you learned in class). The following is the pseudo-code of the new Merge-Sort, Merge-Sort (p, r) 1. if 2. 9 == r return floor of (p+ r) / 2 3. Merge-Sort(p, q) 4. Merge-Sort(q+1, r) 5. Insertion-Sort(p, r) Give the recurrence for the running time of this new Merge-Sort and solve it. We let T(n) denote the running time when input array has n elements.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:Dr. Sponge thinks it's too hard to implement Merge. So, he wants to replace
Merge with Insertion Sort (yes, the insertion sort you learned in class). The following is the
pseudo-code of the new Merge-Sort,
Merge-Sort(p, r)
1. if p
== r return
2. q = floor of (p+ r) / 2
3. Merge-Sort(p, q)
4. Merge-Sort(q+1, r)
5. Insertion-Sort(p, r)
Give the recurrence for the running time of this new Merge-Sort and solve it. We let T(n)
denote the running time when input array has n elements.
By solving the recurrence (no need to show how you solved it), we obtain
T(n) =
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