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Subject - Design & Anal algorithms Please complete all the questions together.  Thank you in Advance. Consider the following pseudocode for bubblesort: bubblesort(A, n) for i from 1 to n − 1 for j from n to i + 1 if A[j] < A[j − 1] swap(A[j], A[j − 1]) (a) What is the loop invariant for bubblesort? (b) State briefly a proof of correctness. (c) Derive concisely the worst-case running time of bubblesort as a function of the input array size n? Show your work! (d) Derive concisely the best-case running time as a function of n. Show your work!

Subject - Design & Anal algorithms Please complete all the questions together.  Thank you in Advance. Consider the following pseudocode for bubblesort: bubblesort(A, n) for i from 1 to n − 1 for j from n to i + 1 if A[j] < A[j − 1] swap(A[j], A[j − 1]) (a) What is the loop invariant for bubblesort? (b) State briefly a proof of correctness. (c) Derive concisely the worst-case running time of bubblesort as a function of the input array size n? Show your work! (d) Derive concisely the best-case running time as a function of n. Show your work!

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
Problem 1PE
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Subject - Design & Anal algorithms

Please complete all the questions together. 

Thank you in Advance.

Consider the following pseudocode for bubblesort:
bubblesort(A, n)
for i from 1 to n − 1
for j from n to i + 1
if A[j] < A[j − 1]
swap(A[j], A[j − 1])
(a) What is the loop invariant for bubblesort?
(b) State briefly a proof of correctness.
(c) Derive concisely the worst-case running time of bubblesort as a function of the input array size
n? Show your work!
(d) Derive concisely the best-case running time as a function of n. Show your work!

 

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