8.Propose a Quick Sort algorithm using the last element of each partition as pivot. Let, A = [5, 8, 2, 9, 7, 3, 1] Show the steps of the Quick Sort algorithm using the first element as pivot to sort 'A' array in descending order. Discuss the best case running time of the Quick Sort algorithm.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Please do it in python

 

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8.Propose a Quick Sort algorithm using the last element of each partition as pivot.
Let, A = [5, 8, 2, 9, 7, 3, 1]
Show the steps of the Quick Sort algorithm using the first element as pivot to sort 'A' array in
descending order.
Discuss the best case running time of the Quick Sort algorithm.
Recursive Time Complexity: Use any method (Recursive Tree/Master's/Substitution Method)
a) T(n) = 2T (n/2) +n³
b) T(n)=T(n/4)+T(5n/8)+n
c) T(n)= T(n-1) + T(n-2) + C, T(1)=1
d) T(n)=8T(n/2) + n², T(1)=1
Transcribed Image Text:8.Propose a Quick Sort algorithm using the last element of each partition as pivot. Let, A = [5, 8, 2, 9, 7, 3, 1] Show the steps of the Quick Sort algorithm using the first element as pivot to sort 'A' array in descending order. Discuss the best case running time of the Quick Sort algorithm. Recursive Time Complexity: Use any method (Recursive Tree/Master's/Substitution Method) a) T(n) = 2T (n/2) +n³ b) T(n)=T(n/4)+T(5n/8)+n c) T(n)= T(n-1) + T(n-2) + C, T(1)=1 d) T(n)=8T(n/2) + n², T(1)=1
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