Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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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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