Shell sort is an in-place comparison-based sorting algorithm which is based on insertion sort algorithm. It works as follow : It breaks the original list into a number of smaller sublists, each of which is sorted using an insertion sort. The unique way that these sublists are chosen is the key to the shell sort. Instead of breaking the list into sublists of contiguous items, the shell sort uses an increment i, sometimes called the gap, to create a sublist by choosing all items that are i items apart. n п a) We say that the our initial gap is floor when we divide our sequence into sublists where 2k 2k k>0 be the number of passes that can be increment until the denominator not greater than n, and then sorting the elements which are position away with insertion sort. We have three passes for an array size of 8 to 15. Demonstrate the Shell algorithm on the input array A = [35,33,42,10,14,19,27,44] showing how even- п tually the algorithm outputs the sorted array [10,14,19,27,33,35,42,44] with initial gap k: Clearly show all of your steps.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Shell sort is an in-place comparison-based sorting algorithm which is based on insertion sort algorithm.
It works as follow :
It breaks the original list into a number of smaller sublists, each of which is sorted using an insertion sort. The
unique way that these sublists are chosen is the key to the shell sort. Instead of breaking the list into sublists of
contiguous items, the shell sort uses an increment i, sometimes called the gap, to create a sublist by choosing
all items that are i items apart.
n
a) We say that the our initial gap is floor:
when we divide our sequence into
2k
n
sublists where
2k
k>0 be the number of passes that can be increment until the denominator not greater than n,
n
and then sorting the elements which are
position away with insertion sort. We have three
2k
passes for an array size of 8 to 15.
Demonstrate the Shell algorithm on the input array A = [35,33,42,10,14,19,27,44] showing how even-
%3D
п
tually the algorithm outputs the sorted array [10,14,19,27,33,35,42,44] with initial
gap
2k*
Clearly show
all of your steps.
Transcribed Image Text:Shell sort is an in-place comparison-based sorting algorithm which is based on insertion sort algorithm. It works as follow : It breaks the original list into a number of smaller sublists, each of which is sorted using an insertion sort. The unique way that these sublists are chosen is the key to the shell sort. Instead of breaking the list into sublists of contiguous items, the shell sort uses an increment i, sometimes called the gap, to create a sublist by choosing all items that are i items apart. n a) We say that the our initial gap is floor: when we divide our sequence into 2k n sublists where 2k k>0 be the number of passes that can be increment until the denominator not greater than n, n and then sorting the elements which are position away with insertion sort. We have three 2k passes for an array size of 8 to 15. Demonstrate the Shell algorithm on the input array A = [35,33,42,10,14,19,27,44] showing how even- %3D п tually the algorithm outputs the sorted array [10,14,19,27,33,35,42,44] with initial gap 2k* Clearly show all of your steps.
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