
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
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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Step 1: Introduction
VIEW Step 2: Detailing Selection Sort Algorithm
VIEW Step 3: Examining Loop Invariant
VIEW Step 4: Analysis of n-1 Element Sorting
VIEW Step 5: Analyzing Time Complexity
VIEW Step 6: Comparing Best and Worst Cases
VIEW Step 7: Implementing Selection Sort in Java
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