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

Insertion of a key into a b-tree, Example: Insertion of a key 33 into a B-...

Example: Insertion of a key 33 into a B-Tree (w/split) Step 1: Search first node for key closet to 33. Key 30 was determined. Step 2: Node pointed through key 30, is se

Complexity of an algorithm, Q. Explain the complexity of an algorithm?  Wha...

Q. Explain the complexity of an algorithm?  What are the worst case analysis and best case analysis explain with an example.

Explain all-pair shortest-paths problem, Explain All-pair shortest-paths pr...

Explain All-pair shortest-paths problem Given a weighted linked graph (undirected or directed), the all pairs shortest paths problem asks to find the distances (the lengths of

What is efficiency of algorithm, What is Efficiency of algorithm? Effic...

What is Efficiency of algorithm? Efficiency of an algorithm can be precisely explained and investigated with mathematical rigor.  There are two types of algorithm efficiency

Doubly linked list having n nodes, The time required to delete a node x fro...

The time required to delete a node x from a doubly linked list having n nodes is O (1)

Binary search trees, In this unit, we discussed Binary Search Trees, AVL tr...

In this unit, we discussed Binary Search Trees, AVL trees and B-trees. The outstanding feature of Binary Search Trees is that all of the elements of the left subtree of the root

Implementation of circular queues, One of the main problems with the linear...

One of the main problems with the linear queue is the lack of appropriate utilization of space. Assume that the queue can store 100 elements & the complete queue is full. Thus, it

Draw the process flow diagram, Draw the process flow diagram: Anand   ...

Draw the process flow diagram: Anand   Dairy (AD) sources 150,000 litres of milk daily from large number of local villagers .The milk is collected from 4:00 AM to 6:00 am and

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

Structured programming, What do you understand by term structured programmi...

What do you understand by term structured programming? Explain the structured programming as well.                                 Ans. S tructured Programming is expla

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