Among Selection Sort, Insertion Sort, Mergesort, Quicksort, and Heapsort, which algorithm would you choose for the situation below? Only pick one algorithm.The simplicity of implementation should also be considered AFTER the consideration of speed, the number of assignment operation and the extra space requirement. Use the chart below for your considerations. A) The list has several hundred records. The records are quite long, but the keys are very short. B) The list has about 25,000 records. It is desirable to complete the sort as quickly as possible on the average, but it is also critical that the sort be completed quickly in every single case. C) The list has about 45,000 records, but it starts oﬀ only slightly out of order. • Table 7.1 Analysis summary for Exchange Sort, Insertion Sort, and Selection Sort*AlgorithmComparisons of Keys Assignments of RecordsExtra Space Usagen2Exchange Sort T(n) =23n2W (n)In-place23n?A (n) =4n2W (n)n2W (n)Insertion SortIn-place22n2n2A (n)4A (n)4n2T (n):Selection SortT (n) = 3nIn-place2*Entries are approximate.Extra Space UsageAlgorithmMergesort(Algorithm 2.4)Mergesort(Algorithm 7.4)QuicksortComparison of Keys Assignments of RecordsW (n) = n lg nA (n) = n lg nW (n) = n lg nA (n) = n lg nW (n) = n²/2A (n) = 1.38n lg nW (n) = 2n lg nA (n) = 2n lg nT (n) = 2n lg nO (n) records%3DT (n) = 0fO (n) linksO (lg n) indices(with improvements)HeapsortA (n) = 0.69n lg nW (n) = n lg nA (n) = n lg n%3|In-place*Entries are approximate; the average cases for Mergesort and Heapsort are slightly better than the worst cases.fif it is required that the records be in sorted sequence in contiguous array slots, the worst case is in O (n).

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Answered: Among Selection Sort, Insertion Sort,…

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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Among Selection Sort, Insertion Sort, Mergesort, Quicksort, and Heapsort, which algorithm would you choose for the situation below? Only pick one algorithm.The simplicity of implementation should also be considered AFTER the consideration of speed, the number of assignment operation and the extra space requirement. Use the chart below for your considerations.

A) The list has several hundred records. The records are quite long, but the keys are very short.

B) The list has about 25,000 records. It is desirable to complete the sort as quickly as possible on the average, but it is also critical that the sort be completed quickly in every single case.

C) The list has about 45,000 records, but it starts oﬀ only slightly out of order.

• Table 7.1 Analysis summary for Exchange Sort, Insertion Sort, and Selection Sort*
Algorithm
Comparisons of Keys Assignments of Records
Extra Space Usage
n2
Exchange Sort T(n) =
2
3n2
W (n)
In-place
2
3n?
A (n) =
4
n2
W (n)
n2
W (n)
Insertion Sort
In-place
2
2
n2
n2
A (n)
4
A (n)
4
n2
T (n):
Selection Sort
T (n) = 3n
In-place
2
*Entries are approximate.
Extra Space Usage
Algorithm
Mergesort
(Algorithm 2.4)
Mergesort
(Algorithm 7.4)
Quicksort
Comparison of Keys Assignments of Records
W (n) = n lg n
A (n) = n lg n
W (n) = n lg n
A (n) = n lg n
W (n) = n²/2
A (n) = 1.38n lg n
W (n) = 2n lg n
A (n) = 2n lg n
T (n) = 2n lg n
O (n) records
%3D
T (n) = 0f
O (n) links
O (lg n) indices
(with improvements)
Heapsort
A (n) = 0.69n lg n
W (n) = n lg n
A (n) = n lg n
%3|
In-place
*Entries are approximate; the average cases for Mergesort and Heapsort are slightly better than the worst cases.
fif it is required that the records be in sorted sequence in contiguous array slots, the worst case is in O (n).

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