Join Raghavendra Dixit for an in-depth discussion in this video Using Big O notation: Examples, part of Introduction to Data Structures & Algorithms in Java.
- [Instructor] Let's see a few examples to understand what…the big O really means.…Here we have this function five N squared plus six.…Does it belong to the set big O open square?…Well, if it does, then we must find some values…of C, and N naught,…such that C, N squared becomes greater than…or equal to five N squared plus six…for all N greater than or equal to N naught.…
So we can choose C as six,…and N naught as three, and you can see…that six N squared will be greater than…five N squared plus six for all values of…N greater than or equal to three.…Right?…By the way, we can choose a different combination…of C and N naught, alright?…For example, we can choose C as 5.1.…And now, N naught must be at least eight…because for values less than that,…5.1 N squared will not be greater than…five N squared plus six.…
So, we can have infinite number of combinations,…and we don't really have to tell which is…the best of the lot, or which combination…makes the bound tight.…We just need to show that there is such a combination,…
Note: This course was created by Packt Publishing. We are pleased to host this training in our library.
- Why study data structures and algorithms?
- How to calculate the time complexity
- Using Big O notation
- Using basic sorting and search algorithms
- Searching elements in unordered arrays and ordered arrays
- Implementing a linked list in Java
- Implementing stacks using arrays
- Queues using arrays
- Binary search trees
- Representing heaps using arrays
Skill Level Intermediate
1. Introduction to Algorithms
2. Analysis of Algorithms
3. Basic Sorting and Search Algorithms
4. Linked Lists
5. Stacks and Queues
7. Binary Search Trees
8. More Sorting Algorithms
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