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Let's slightly tweak Merge Sort. Instead of partitioning the array into two subarrays, we will do into three subarrays of an (almost) equal size. Then, each recursive call will sort each subarray, and we will merge the three sorted subarrays. Assuming that merging can be done in O(n) time, write a recurrence for the running time of this new version of Merge Sort, and solve it.

Let's slightly tweak Merge Sort. Instead of partitioning the array into two subarrays, we will do into three subarrays of an (almost) equal size. Then, each recursive call will sort each subarray, and we will merge the three sorted subarrays. Assuming that merging can be done in O(n) time, write a recurrence for the running time of this new version of Merge Sort, and solve it.

Database System Concepts
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
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Let's slightly tweak Merge Sort. Instead of partitioning the array into two subarrays, we will do into three subarrays of an (almost) equal size. Then, each recursive call will sort each subarray, and we will merge the three sorted subarrays. Assuming that merging can be done in O(n) time, write a recurrence for the running time of this new version of Merge Sort, and solve it.
Transcribed Image Text:Let's slightly tweak Merge Sort. Instead of partitioning the array into two subarrays, we will do into three subarrays of an (almost) equal size. Then, each recursive call will sort each subarray, and we will merge the three sorted subarrays. Assuming that merging can be done in O(n) time, write a recurrence for the running time of this new version of Merge Sort, and solve it.
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