Properties of Algorithm

  • It should terminate after a finite time.
  • It should produce at least one output.
  • It should take zero or more input.
  • It should be deterministic means giving the same output for the same input case.
  • Every step in the algorithm must be effective i.e. every step should do some work.

What is Algorithm | Introduction to Algorithms

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Definition of Algorithm

The word Algorithm means ” A set of finite rules or instructions to be followed in calculations or other problem-solving operations ” Or ” A procedure for solving a mathematical problem in a finite number of steps that frequently involves recursive operations”....

Use of the Algorithms:

Algorithms play a crucial role in various fields and have many applications. Some of the key areas where algorithms are used include:...

What is the need for algorithms?

Algorithms are necessary for solving complex problems efficiently and effectively. They help to automate processes and make them more reliable, faster, and easier to perform.Algorithms also enable computers to perform tasks that would be difficult or impossible for humans to do manually.They are used in various fields such as mathematics, computer science, engineering, finance, and many others to optimize processes, analyze data, make predictions, and provide solutions to problems....

What are the Characteristics of an Algorithm?

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Properties of Algorithm:

It should terminate after a finite time.It should produce at least one output.It should take zero or more input.It should be deterministic means giving the same output for the same input case.Every step in the algorithm must be effective i.e. every step should do some work....

Types of Algorithms:

There are several types of algorithms available. Some important algorithms are:...

Advantages of Algorithms:

It is easy to understand.An algorithm is a step-wise representation of a solution to a given problem.In an Algorithm the problem is broken down into smaller pieces or steps hence, it is easier for the programmer to convert it into an actual program....

Disadvantages of Algorithms:

Writing an algorithm takes a long time so it is time-consuming.Understanding complex logic through algorithms can be very difficult.Branching and Looping statements are difficult to show in Algorithms(imp)....

How to Design an Algorithm?

To write an algorithm, the following things are needed as a pre-requisite:...

How to analyze an Algorithm?

For a standard algorithm to be good, it must be efficient. Hence the efficiency of an algorithm must be checked and maintained. It can be in two stages:...

What is Algorithm complexity and how to find it?

An algorithm is defined as complex based on the amount of Space and Time it consumes. Hence the Complexity of an algorithm refers to the measure of the time that it will need to execute and get the expected output, and the Space it will need to store all the data (input, temporary data, and output). Hence these two factors define the efficiency of an algorithm. The two factors of Algorithm Complexity are:...

How to express an Algorithm?

Natural Language:- Here we express the Algorithm in the natural English language. It is too hard to understand the algorithm from it.Flowchart:- Here we express the Algorithm by making a graphical/pictorial representation of it. It is easier to understand than Natural Language.Pseudo Code:- Here we express the Algorithm in the form of annotations and informative text written in plain English which is very much similar to the real code but as it has no syntax like any of the programming languages, it can’t be compiled or interpreted by the computer. It is the best way to express an algorithm because it can be understood by even a layman with some school-level knowledge....