Big-O Notation

The knowledge of basic data structures, their characteristics, and the algorithms are important tools in a software engineer’s toolkit. Having the right tools for the job can make the job a lot easier. Being trained in the proper use of these tools is essential for being effective. Data structures and algorithms allow you to write performant code, which minimizes the use of scarce resources and helps ensure that your code is not just correct but also fast.

If you have participated in Google Kickstart or solved some Hacker Rank contests or others, you would have encountered a situation where your code might be slower than expected and possibly you got a check popup or warning saying your code couldn’t do it on time. In the same way, we compare different algorithms based on their elapsed time, space used and network bandwidth used. These will say either your code is performant or not. These are called Dimensions of Performance.

Now that we know complexity is a measure of performance, how to measure complexity?

The complexity of your code, whether it’s time complexity, space complexity, or the complexity for any other resource usage, can be expressed in terms of the Big-O notation.

Now let us try to know about different types of complexities.

1. Constant Complexity

_Real-life Example: _Suppose I am selecting some people for a game and I will select only first four applicants. Will the number of applicants effect complexity of selection?

Even if there 1000 applicants I will just ignore the rest and select only the first four people. So the complexity is O(4).

Programming Example: If we create a function which will take an array as input and display the first character of the array. The program will have the complexity of O(1). This is because even if we take a 1,000,000 longword we only care about the first letter.

Example code:

//C++ Code

#include

using namespace std;

int main()

{

char str[1000000];

cout << “Enter Your Name::”;

cin.getline(str, 1000000);

cout << “\nFirst Letter is:: “ << str[0];

return 0;

}

So if complexity doesn’t change with the number of inputs it is called Constant Complexity

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Big-O Notation
Vern  Greenholt

Vern Greenholt

1598508720

What Is Big O Notation?

As programmers, we often find ourselves asking the same two questions over and over again:

  1. How much time does this algorithm need to complete?
  2. How much space does this algorithm need for computing?

To put it in other words, in computer programming, there are often multiple ways to solve a problem, so

  1. How do we know which solution is the right one?
  2. How do we compare one algorithm against another?

The big picture is that we are trying to compare how quickly the runtime of algorithms grows with respect to the size of their input. We think of the runtime of an algorithm as a function of the size of the input, where the output is how much work is required to run the algorithm.

To answer those questions, we come up with a concept called Big O notation.

  • Big O describes how the time is taken, or memory is used, by a program scales with the amount of data it has to work on
  • Big O notation gives us an upper bound of the complexity in the worst case, helping us to quantify performance as the input size becomes arbitrarily large
  • In short, Big O notation helps us to measure the scalability of our code

Time and Space Complexity

When talking about Big O Notation it’s important that we understand the concepts of time and space complexity, mainly because_ Big O Notation_ is a way to indicate complexities.

Complexity is an approximate measurement of how efficient (or how fast) an algorithm is and it’s associated with every algorithm we develop. This is something all developers have to be aware of. There are 2 kinds of complexities: time complexity and space complexity. Time and space complexities are approximations of how much time and space an algorithm will take to process certain inputs respectively.

Typically, there are three tiers to solve for (best case scenario, average-case scenario, and worst-case scenario) which are known as asymptotic notations. These notations allow us to answer questions such as: Does the algorithm suddenly become incredibly slow when the input size grows? Does it mostly maintain its fast run time performance as the input size increases?

#performance #development #big o complexity #big o notation #big data

Ryleigh  Hamill

Ryleigh Hamill

1625640780

Time Complexity & Big O notation | DSA-One Course - All you Need in One place

Hey guys, In this video, we’ll be talking about Time complexity and Big O notation. This is the first video of our DSA-One Course. We’ll also learn how to find the time complexity of Recursive problems.

Practice here: https://www.interviewbit.com/courses/programming/topics/time-complexity/

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#big o #big o notation #time complexity

Silly mistakes that can cost ‘Big’ in Big Data Analytics

Big Data has played a major role in defining the expansion of businesses of all kinds as it helps the companies to understand their audience and devise their business techniques in accordance with the requirement.

The importance of ‘Data’ has been spoken very highly in the modern-day business. Thus, while using big data analysis, the companies must keep away from these minor mistakes otherwise it could have a major impact on their performances. Big Data analysis can be the silver bullet that can answer your questions and help your business to scale newer heights.

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Big Data can be The ‘Big’ boon for The Modern Age Businesses

The rapid growth of technology has led to many people opting for online services, and thus the collection and maintenance of data becomes a significant factor for any company. Big data analytics service providers can help the companies get a massive edge over their competitors as they would manage the data well and allow the businesses to make better business decisions. It will provide you with a combination of increased customer experience, revenue, and reduced cost and thus will create a win-win situation for your business. Big data technologies will be your perfect ally in excelling in the cut-throat business environment and come out with flying colors.

Read More: Big Data can be The ‘Big’ boon for The Modern Age Businesses

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