Algorithm for the selection sort, Data Structure & Algorithms

Assignment Help:

Q. Give the algorithm for the selection sort. Describe the behaviours of selection sort when the input given is already sorted.                                                                                              

Ans.

Algorithm for the Selection Sort is as follows

SELECTION (A, N)

This algorithm sorts the given array A with N elements

1.  Repeat steps 2  & 3 for K = 1,2........N-1

2.  Call MIN (A,K, N, LOC)

3.  [Interchange A[K] and A[LOC].]

Set TEMP : = A[K], A[K]:=A[LOC] and A[LOC]: = TEMP, [END of Step 1 loop]

4.  EXIT

MIN (A, K, N, LOC)

An array A is in memory. This procedure finds the location LOC of the smallest element among A[K], A[K+1]...........A[N],

1.  Set MIN : =A[K] and LOC:=K [Initialize pointer]

2.  Repeat for J= K+1, K+2, .....N;

If MIN > A[J], then : set MIN: = A[J] and LOC:=J [End of loop]

3.  Return

The complexities of Selection sort are given below

 

Worst Case

Average Case

Best Case

O(n2)

O(n2)

O(n2)

 

So if the list is already sorted the it is the best case, then also the complexity of algorithm is O(n2). Therefore, there is no change in behaviors of selection sort if the list is already sorted.


Related Discussions:- Algorithm for the selection sort

In order post order, illlustraate the construction of tree of a binary tree...

illlustraate the construction of tree of a binary tree given its in order and post order transversal

Dqueue, algorithm of output restricted queue.

algorithm of output restricted queue.

Data structure arrays, In this unit, we learned the data structure arrays f...

In this unit, we learned the data structure arrays from the application point of view and representation point of view. Two applications that are representation of a sparse matrix

Accept a file and form a binary tree - huffman encoding, Huffman Encoding i...

Huffman Encoding is one of the very simple algorithms to compress data. Even though it is very old and simple , it is still widely used (eg : in few stages of JPEG, MPEG etc). In t

How will you represent a max-heap sequentially, How will you represent a ma...

How will you represent a max-heap sequentially? Max heap, also known as the descending heap, of size n is an almost complete binary tree of n nodes such that the content of eve

Define complete binary tree, Define Complete Binary Tree Complete Binar...

Define Complete Binary Tree Complete Binary Tree:- A whole binary tree of depth d is that strictly binary tree all of whose leaves are at level D.

Complexity of an algorithm, An algorithm is a sequence of steps to solve a ...

An algorithm is a sequence of steps to solve a problem; there may be more than one algorithm to solve a problem. The choice of a particular algorithm depends upon following cons

Psedocodes, write a pseudocode to input the top speed (in km''s/hours) of 5...

write a pseudocode to input the top speed (in km''s/hours) of 5000 cars output the fastest speed and the slowest speed output the average (mean) speed of all the 5000 cars answers

Define algorithm, What is an Algorithm? An algorithm is a sequence of u...

What is an Algorithm? An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for getting a needed output for any legitimate input in a finite amoun

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd