Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Consider sorting n numbers stored in array A[1:n] by first finding the smallest
element of A[1:n] and exchanging it with the element in A[1]. Then find the
smallest element of A[2:n], and exchange it with A[2]. Then find the smallest
element of A[3:n], and exchange it with A[3]. 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
worst-case running time of selection sort in big theta notation. Is the best-case running
time any better?

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