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

Implement an open hash table, In a chained hash table, each table entry is ...

In a chained hash table, each table entry is a pointer to a collection of elements. It can be any collection that supports insert, remove, and find, but is commonly a linked list.

Algorithm for finding a key by binary search technique, Q. Write down an al...

Q. Write down an algorithm for finding a key from a sorted list using the binary search technique or method.

Explain binary search tree, Binary search tree. A binary search tree is...

Binary search tree. A binary search tree is a binary tree that is either empty or in which every node having a key that satisfies the following conditions: - All keys (if an

Insertion sort, It is a naturally occurring sorting method exemplified thro...

It is a naturally occurring sorting method exemplified through a card player arranging the cards dealt to him. He picks up the cards like they are dealt & added them into the neede

Sort list of distinct numbers in ascending order - quicksort, (1) Sort a li...

(1) Sort a list of distinct numbers in ascending order, using the following divide- and-conquer strategy (Quicksort): divide the list of numbers into two lists: one that contains a

What is Polyphase Sort, One of the best known methods for external sorting ...

One of the best known methods for external sorting on tapes is the polyphase sort. Principle: The basic strategy of this sort is to distribute ordered initial runs of predetermi

Undirected graph and adjacency matrix, Q. Consider the specification writte...

Q. Consider the specification written below of a graph G V(G ) = {1,2,3,4} E(G ) = {(1,2), (1,3), (3,3), (3,4), (4,1)} (i)        Draw the undirected graph. (

Process of analysis, The objective analysis of an algorithm is to determine...

The objective analysis of an algorithm is to determine its efficiency. Efficiency is based on the resources which are used by the algorithm. For instance, CPU utilization (Ti

Disadvantages of the lifo costing method, The disadvantages or limitations ...

The disadvantages or limitations of the last in first out costing method are: The election of last in first out for income tax purposes is binding for all subsequent yea

A Booth''s, Draw a flowchart of a Booth''s multiplication algorithm and exp...

Draw a flowchart of a Booth''s multiplication algorithm and explain it.

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