2. Consider the following algorithm. Array A[0..n – 1] contains n integers. Algorithm choose (A) { n = A.last for (i = 0 to n-2) { min = i %3D for (j if (A[j] < A[min]) { min = j } } swap (A, i, min) } } = i+1 to n-1) { a) What does this algorithm compute? Describe the strategy of the algorithm. b) Trace the steps of the algorithm on the following array: 71 59 23 30 | 8 28 c) Use the big-Oh notation to express its computational complexity.

2. Consider the following algorithm. Array A[0..n – 1] contains n integers. Algorithm choose (A) { n = A.last for (i = 0 to n-2) { min = i %3D for (j if (A[j] < A[min]) { min = j } } swap (A, i, min) } } = i+1 to n-1) { a) What does this algorithm compute? Describe the strategy of the algorithm. b) Trace the steps of the algorithm on the following array: 71 59 23 30 | 8 28 c) Use the big-Oh notation to express its computational complexity.

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

Problem 1PE

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Concept explainers

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.

Question

2.
Consider the following algorithm. Array A[0..n – 1] contains n integers.
Algorithm choose (A) {
n = A.last
for (i = 0 to n-2) {
min
i
=
for (j = i+1 to n-1) {
if (A[j] < A [min]) {
min = j
}
}
swap (A, i, min)
}
}
%3D
%3D
a) What does this algorithm compute? Describe the strategy of the algorithm.
b) Trace the steps of the algorithm on the following array:
71 59 28 23 30 8
c) Use the big-Oh notation to express its computational complexity.

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