This question concerns the following sorting algorithm (attachment). (b) Consider the operation of SORT on a list of length N. How many comparisons in line 4 take place when i = 1 and when i = N-1? (c) How many comparisons take place in total? Show your working. You may use the result 1+2+...+n=n[(n+1)/2] (d) Based on the analysis above, or otherwise, what is the worst, best and average- case time

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
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This question concerns the following sorting algorithm (attachment).

(b) Consider the operation of SORT on a list of length N. How many comparisons in line 4 take place when i = 1 and when i = N-1?

(c) How many comparisons take place in total? Show your working. You may use the result 1+2+...+n=n[(n+1)/2]

(d) Based on the analysis above, or otherwise, what is the worst, best and average- case time complexity of SORT? Explain your answer.

1. function SORT (A)
2. for i = 1 to length (A) - 1
3.
length (A) down to i+ 1
A[j] <A[j - 1]
for j =
if
swap A[j] and A[j-1]
print (A)
345WNP
4.
5.
6.
Transcribed Image Text:1. function SORT (A) 2. for i = 1 to length (A) - 1 3. length (A) down to i+ 1 A[j] <A[j - 1] for j = if swap A[j] and A[j-1] print (A) 345WNP 4. 5. 6.
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