Answered: umber of permutations and comparisons)…

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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Hey,

For all k ⊆ N \ {0} give a construction rule for a field of length (2^k) -1,
for which the running time (= number of permutations and comparisons) of quicksort becomes minimal
and justify your claim. Assume that the pivot element is always
the first index of the subarray to be sorted.
For k = 4, give an example of such a constructed array.

Use The running time is minimal if the two subarrays that
resulting from the pivoting step have the same size.

Thank you in advance!

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