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

Bubble sort, Q. The reason bubble sort algorithm is inefficient is that it ...

Q. The reason bubble sort algorithm is inefficient is that it continues execution even after an array is sorted by performing unnecessary comparisons. Therefore, the number of comp

Rl rotation - avl tree, Example: (Double left rotation while a new node is ...

Example: (Double left rotation while a new node is added into the AVL tree (RL rotation)) Figure: Double left rotation when a new node is inserted into the AVL tree A

Non-recursive algorithm, Q .  Write down the non-recursive algorithm to tra...

Q .  Write down the non-recursive algorithm to traverse a tree in preorder. Ans: T he Non- Recursive algorithm for preorder traversal is written below: Initially i

Booth algorithm, what is boot algorithm and some example

what is boot algorithm and some example

State the range of operation of abstract data type, State the range of oper...

State the range of operation of ADT Operations of the Range of T ADT includes following, where a, b ∈ T and r and s are values of Range of T: a...b-returns a range value (an

Determine the critical path and the expected completion, The information in...

The information in the table below is available for a large fund-raising project. a. Determine the critical path and the expected completion time of the project. b. Plot the total

Bayesian statistics question, Suppose that there is a Beta(2,2) prior distr...

Suppose that there is a Beta(2,2) prior distribution on the probability theta that a coin will yield a "head" when spun in a specified manner. The coin is independently spun 10 tim

Amortized algorithm analysis, In the amortized analysis, the time needed to...

In the amortized analysis, the time needed to perform a set of operations is the average of all operations performed. Amortized analysis considers as a long sequence of operations

Trees, What is AVL Tree? Describe the method of Deletion of a node from and...

What is AVL Tree? Describe the method of Deletion of a node from and AVL Tree ?

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