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2.24. On page 62 there is a high-level description of the quicksort algorithm. (a) Write down the pseudocode for quicksort. (b) Show that its worst-case running time on an array of size n is O(n²). (c) Show that its expected running time satisfies the recurrence relation n-1 1 T(n) ≤ 0(n) + = Σ(T(i) +T(n − i)). n i=1 Then, show that the solution to this recurrence is O(n log n).

2.24. On page 62 there is a high-level description of the quicksort algorithm. (a) Write down the pseudocode for quicksort. (b) Show that its worst-case running time on an array of size n is O(n²). (c) Show that its expected running time satisfies the recurrence relation n-1 1 T(n) ≤ 0(n) + = Σ(T(i) +T(n − i)). n i=1 Then, show that the solution to this recurrence is O(n log n).

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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Please send me answer of this question with pseudo code, algorithms and time complexity and answers all the parts nd i will rate you sure sir please.

2.24. On page 62 there is a high-level description of the quicksort algorithm. (a) Write down the pseudocode for quicksort. (b) Show that its worst-case running time on an array of size n is (n²). (c) Show that its expected running time satisfies the recurrence relation n-1 1 T(n) ≤ 0(n) + = (T(i) + T(n − i)). n i=1 Then, show that the solution to this recurrence is O(n log n).
Transcribed Image Text:2.24. On page 62 there is a high-level description of the quicksort algorithm. (a) Write down the pseudocode for quicksort. (b) Show that its worst-case running time on an array of size n is (n²). (c) Show that its expected running time satisfies the recurrence relation n-1 1 T(n) ≤ 0(n) + = (T(i) + T(n − i)). n i=1 Then, show that the solution to this recurrence is O(n log n).
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