Best case, Data Structure & Algorithms

Assignment Help:

Best Case: If the list is sorted already then A[i] <= key at line 4. Thus, rest of the lines in the inner loop will not execute. Then,

T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1)  = O (n), which indicates that the time complexity is linear.

Worst Case: This case arises while the list is sorted in reverse order.  Thus, for execution of line 1, the Boolean condition at line 4 will be true.

So, step line 4 is executed

T (n) = c1n + c2(n -1) + c3(n -1) + c4 (n(n+1)/2 - 1) + c5(n(n -1)/2)  + c6(n(n-1)/2) + c7 (n -1)

= O (n2).

Average case: In mostly cases, the list will be into some random order. That is, it neither sorted in descending or ascending order and the time complexity will lie somewhere among the best & the worst case.

T (n) best       <  T(n) Avg. < T(n) worst


Related Discussions:- Best case

Algorithms and flowcharts, write an algorithm and draw a flowchart to calcu...

write an algorithm and draw a flowchart to calculate the perimeter and area of a circle

C++, 7. String manipulation 7.a Write a C Program using following strin...

7. String manipulation 7.a Write a C Program using following string manipulation functions a) strcpy b) strncpy c) strcmp d) strncmp e) strlen f) strcat

Operations on sequential files, Insertion: Records has to be inserted at t...

Insertion: Records has to be inserted at the place dictated by the sequence of keys. As is obvious, direct insertions into the main data file would lead to frequent rebuilding of

First class Abstract data type , 3. A function to convert a complex number ...

3. A function to convert a complex number in algebraic form to a complex number in phasor form

Algorithm to add an element at the end of linked list, Write an algorithm t...

Write an algorithm to add an element at the end of circular linked list.   Algorithm to Add the Element at the End of Circular Linked List. IINSENDCLL( INFO, LINK, START, A

Explain the concept of hidden lines and surface removal, Explain the concep...

Explain the concept of hidden lines The problem of hidden lines or surfaces was implicit even in 2-D graphics, but we did not mention it there, because what was intended to be

Implementation of stack, Before programming a problem solution those employ...

Before programming a problem solution those employees a stack, we have to decide how to represent a stack by using the data structures which exist in our programming language. Stac

Representation of arrays, REPRESENTATION OF ARRAYS This is not uncommon...

REPRESENTATION OF ARRAYS This is not uncommon to determine a large number of programs which procedure the elements of an array in sequence. However, does it mean that the eleme

Define null values, Define null values.  In some cases a particular ent...

Define null values.  In some cases a particular entity might not have an applicable value for an attribute or if we do not know the value of an attribute for a particular entit

Mapping constain, one to many one to one many to many many to one

one to many one to one many to many many to one

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