2.2-2 Consider sorting n numbers stored in array A by first finding the smallest element of A and exchanging it with the element in A[1]. Then find the second smallest element of A, and exchange it with A[2]. Continue in this manner for the first n - 1 elements of A. Write pseudocode for this algorithm, which is known as selection sort. What loop invariant does this algorithm maintain? Why does it need to run for only the first n − 1 elements, rather than for all n elements? Give the best-case and worst-case running times of selection sort in O-notation.

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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2.2-3
Consider linear search again (see Exercise 2.1-3). How many elements of the in-
put sequence need to be checked on the average, assuming that the element being
searched for is equally likely to be any element in the array? How about in the
worst case? What are the average-case and worst-case running times of linear
search in O-notation? Justify your answers.
Transcribed Image Text:2.2-3 Consider linear search again (see Exercise 2.1-3). How many elements of the in- put sequence need to be checked on the average, assuming that the element being searched for is equally likely to be any element in the array? How about in the worst case? What are the average-case and worst-case running times of linear search in O-notation? Justify your answers.
2.2-2
Consider sorting n numbers stored in array A by first finding the smallest element
of A and exchanging it with the element in A[1]. Then find the second smallest
element of A, and exchange it with A[2]. Continue in this manner for the first n - 1
elements of A. Write pseudocode for this algorithm, which is known as selection
sort. What loop invariant does this algorithm maintain? Why does it need to run
for only the first n − 1 elements, rather than for all n elements? Give the best-case
and worst-case running times of selection sort in O-notation.
Transcribed Image Text:2.2-2 Consider sorting n numbers stored in array A by first finding the smallest element of A and exchanging it with the element in A[1]. Then find the second smallest element of A, and exchange it with A[2]. Continue in this manner for the first n - 1 elements of A. Write pseudocode for this algorithm, which is known as selection sort. What loop invariant does this algorithm maintain? Why does it need to run for only the first n − 1 elements, rather than for all n elements? Give the best-case and worst-case running times of selection sort in O-notation.
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