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

Explain merge sort, Merge sort: Merge sort is a sorting algorithm that ...

Merge sort: Merge sort is a sorting algorithm that uses the idea of split and conquers. This algorithm splits the array into two halves, sorts them separately and then merges t

HUFFMAN CODING, Ask question 1. Indicate whether each of the following prop...

Ask question 1. Indicate whether each of the following properties is true for every Huffman code. a. The codewords of the two least frequent symbols have the same length. b. The

Algorithm for pre-order traversal, Hear is given a set of input representin...

Hear is given a set of input representing the nodes of a binary tree, write a non recursive algorithm that must be able to give the output in three traversal orders. Write down an

Infix notation to postfix notation, Which data structure is required to cha...

Which data structure is required to change infix notation to postfix notation?    Stack function is used to change infix notation to postfix notatio n

Hash tables, Q. Explain the Hash Tables, Hash function and Hashing Techniqu...

Q. Explain the Hash Tables, Hash function and Hashing Techniques properly?             A n s . H as h Table is explained as follows : A hash table is a data struc

Header linked list, creation,insertion,deletion of header linked list using...

creation,insertion,deletion of header linked list using c.

Interest rate, explain the determination of interest rate in the classical ...

explain the determination of interest rate in the classical system.

Data Mining and Neural Networks, I am looking for some help with a data min...

I am looking for some help with a data mining class with questions that are about neural networks and decision trees. Can you help? I can send document with questions.

Binry trees, Build a class ?Node?. It should have a ?value? that it stores ...

Build a class ?Node?. It should have a ?value? that it stores and also links to its parent and children (if they exist). Build getters and setters for it (e.g. parent node, child n

Explain the method of overlapping and intersecting, Overlapping or Interse...

Overlapping or Intersecting A polygon overlaps or intersects the current background if any of its sides cuts the edges of the viewport as depicted at the top right corner of th

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