4 Exercise 4 Consider the following sorting algorithm:Algorithm SLOWSORT(A)Input: Array A of n integers.Output: Array A sorted in an ascending order.1. for i = 1 to nfor j = n downto i+12.if Alj] < Alj – 1]then exchange Alj]l + Alj – 1]3.4.5. return A(a)that upon the termination A[1] < A[2] <.< A[n]. What else do we need to prove toshow that SLOWSORT sorts?To prove the correctness we need to show that SLOWSORT terminates andFor this exercise we will only prove the correctness of the inner for-loop. Give(b)a loop invariant for lines 2-4 and prove that the invariant always holds at the start ofthe iteration.

Answered: Image /qna-images/answer/bf8aeb43-fd9c-4934-915c-f8a8511d5e0c.jpg

Exercise 4 Consider the following sorting algorithm: Algorithm SLOWSORT(A) Input: Array A of n integers. Output: Array A sorted in an ascending order. 1. for i = 1 to n for j = n downto i+1 if Alj] < Alj – 1] then exchange Alj] + Alj – 1] 2. 3. 4. 5. return A (a) that upon the termination A[1] < A[2]<.< A[n]. What else do we need to prove to To prove the correctness we need to show that SLOWSORT terminates and show that SLOWSORT sorts? (b) a loop invariant for lines 2-4 and prove that the invariant always holds at the start of For this exercise we will only prove the correctness of the inner for-loop. Give the iteration.

Exercise 4 Consider the following sorting algorithm: Algorithm SLOWSORT(A) Input: Array A of n integers. Output: Array A sorted in an ascending order. 1. for i = 1 to n for j = n downto i+1 if Alj] < Alj – 1] then exchange Alj] + Alj – 1] 2. 3. 4. 5. return A (a) that upon the termination A[1] < A[2]<.< A[n]. What else do we need to prove to To prove the correctness we need to show that SLOWSORT terminates and show that SLOWSORT sorts? (b) a loop invariant for lines 2-4 and prove that the invariant always holds at the start of For this exercise we will only prove the correctness of the inner for-loop. Give the iteration.

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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