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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![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
2.
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 to
show that SLOWSORT sorts?
To prove the correctness we need to show that SLOWSORT terminates and
For 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 of
the iteration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05302d1d-ddb1-42aa-b22f-ae225ef551ca%2Fbf8aeb43-fd9c-4934-915c-f8a8511d5e0c%2Ftqrlq5j_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
2.
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 to
show that SLOWSORT sorts?
To prove the correctness we need to show that SLOWSORT terminates and
For 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 of
the iteration.
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