Question 5: Professor Bond has developed the following algorithm that he claims is going to be a break through in computer science. Assuming array is zero indexed, A[0] is the first and A[n-1] is the last element, the algorithm is as follows: mystery Function (A, n) 1 2 { 3 4 9 10 11 12 13} int last Pos=n-1; while (last Pos > 0) { } int maxPos=0; for (int i=0; i <= lastPos; i++) if (A[i]> A[maxPos]) maxPos = i; swap (A, maxPos, last Pos); lastPos = lastPos 1; Given all of this, answer the following questions. (a) (b) (c) (d) Explain what the algorithm does in plain English. Why does the while loop in the algorithm's pseudocode iterate over all ele- (...) bound on the (...) bound on the ments but the last, rather than for all elements? What is the best-case of this algorithm? What is the running time of the best-case of this algorithm? What is the worst-case of this algorithm? What is the running time of the worst-case of this algorithm?

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
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Question 5:
Professor Bond has developed the following algorithm that he claims is going to be a break
through in computer science.
1
23400 HER
2 {
6
7
8
9
10
11
Assuming array is zero indexed, A[0] is the first and A[n-1] is the last element, the algorithm
is as follows:
mystery Function (A, n)
12
13 }
int last Pos=n-1;
while (last Pos > 0)
{
}
int maxPos=0;
for (int i=0; i <= lastPos; i++)
if(A[i] > A[maxPos])
i;
maxPos =
swap (A, maxPos, lastPos);
last Pos
last Pos
- 1;
-
Given all of this, answer the following questions.
Explain what the algorithm does in plain English.
Why does the while loop in the algorithm's pseudocode iterate over all ele-
ments but the last, rather than for all elements?
(c)
(d)
What is the best-case of this algorithm? What is the (...) bound on the
running time of the best-case of this algorithm?
What is the worst-case of this algorithm? What is the (...) bound on the
running time of the worst-case of this algorithm?
Transcribed Image Text:Question 5: Professor Bond has developed the following algorithm that he claims is going to be a break through in computer science. 1 23400 HER 2 { 6 7 8 9 10 11 Assuming array is zero indexed, A[0] is the first and A[n-1] is the last element, the algorithm is as follows: mystery Function (A, n) 12 13 } int last Pos=n-1; while (last Pos > 0) { } int maxPos=0; for (int i=0; i <= lastPos; i++) if(A[i] > A[maxPos]) i; maxPos = swap (A, maxPos, lastPos); last Pos last Pos - 1; - Given all of this, answer the following questions. Explain what the algorithm does in plain English. Why does the while loop in the algorithm's pseudocode iterate over all ele- ments but the last, rather than for all elements? (c) (d) What is the best-case of this algorithm? What is the (...) bound on the running time of the best-case of this algorithm? What is the worst-case of this algorithm? What is the (...) bound on the running time of the worst-case of this algorithm?
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