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

A difference between linear and non linear, state difference between linear...

state difference between linear and non linear data structure. give one example scenario of each

Advanced data structures - splay trees, This is a unit of which targeted on...

This is a unit of which targeted on the emerging data structures. Red- Black trees, Splay trees, AA-trees & Treaps are introduced. The learner must explore the possibilities of app

Euclidean algorithm, The Euclidean algorithm is an algorithm to decide the ...

The Euclidean algorithm is an algorithm to decide the greatest common divisor of two positive integers. The greatest common divisor of N and M, in short GCD(M,N), is the largest in

Sparse metrics, Q. Define the sparse metrics and also explain the represent...

Q. Define the sparse metrics and also explain the representation of a 4X4 matrix using linked list.         Ans: A matrix in which number of zero entries is quite h

Endogenous model, Question a) Describe how the endogenous model is an ...

Question a) Describe how the endogenous model is an improvement to the neo-classical model in explaining the long-run effect of investment on economic growth of a country.

Define ordinary variable, Ordinary variable An ordinary variable of a e...

Ordinary variable An ordinary variable of a easy data type can store a one element only

Non-recursive algorithm to traverse a tree in preorder, Write the non-recur...

Write the non-recursive algorithm to traverse a tree in preorder.    The Non- Recursive algorithm for preorder traversal is as follows: Initially  push NULL onto stack and

LINKED LIST, HOW LINKED LIST HEADER WORKS? HOW TO INSERT AND DELETE ELEMENT...

HOW LINKED LIST HEADER WORKS? HOW TO INSERT AND DELETE ELEMENTS IN LINKED LIST?

Algorithm, Ask question #MWhich of the following is not a characteristic of...

Ask question #MWhich of the following is not a characteristic of good algorithm? inimum 100 words accepted#

Determine the components of illumination, Determine the Components of Illum...

Determine the Components of Illumination The light reaching the eye when looking at a surface has clearly come from a source (or sources) of illumination and bounced off the su

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