An algorithm is
a well-ordered collection of unambiguous and effectively computable operations
that when executed produces a result and halts in a finite amount of time [Schneider and Gersting 1995]. … Algorithms have unambiguous operations. Algorithms have effectively computable operations. Algorithms produce a result.
What are the 5 characteristics of an algorithm?
- Input specified.
- Output specified.
- Definiteness.
- Effectiveness.
- Finiteness.
- Independent.
What best describes an algorithm?
An algorithm (pronounced AL-go-rith-um) is
a procedure or formula for solving a problem, based on conducting a sequence of specified actions
. A computer program can be viewed as an elaborate algorithm. In mathematics and computer science, an algorithm usually means a small procedure that solves a recurrent problem.
What are the 3 algorithm characteristics?
Characteristics of an Algorithm
Finiteness
: An algorithm should have finite number of steps and it should end after a finite time. Input: An algorithm may have many inputs or no inputs at all. Output: It should result at least one output. Definiteness: Each step must be clear, well-defined and precise.
Which of the following is not true about a good algorithm?
Presence of ambiguity
. The algorithm does not produce a valid output. The algorithm has a logical problem. The algorithm is not optimized to work efficiently.
What is algorithm explain with example?
From Simple English Wikipedia, the free encyclopedia. An algorithm is
a step procedure to solve logical and mathematical problems
. A recipe is a good example of an algorithm because it says what must be done, step by step. It takes inputs (ingredients) and produces an output (the completed dish).
What are the types of algorithm?
- Recursive Algorithm. This is one of the most interesting Algorithms as it calls itself with a smaller value as inputs which it gets after solving for the current inputs. …
- Divide and Conquer Algorithm. …
- Dynamic Programming Algorithm. …
- Greedy Algorithm. …
- Brute Force Algorithm. …
- Backtracking Algorithm.
What are 5 things algorithms must have?
- The inputs must be specified.
- The outputs must be specified.
- Definiteness.
- Effectiveness.
- Finiteness.
What are the 4 characteristics of algorithm?
Input:
a good algorithm must be able to accept a set of defined input. Output: a good algorithm should be able to produce results as output, preferably solutions. Finiteness: the algorithm should have a stop after a certain number of instructions. Generality: the algorithm must apply to a set of defined inputs.
What are the functions of algorithm?
- Input: The algorithm receives input. …
- Output: The algorithm produces output. …
- Precision: The steps are precisely stated. …
- Feasibility: It must be feasible to execute each instruction.
- Flexibility: It should also be possible to make changes in the algorithm without putting so much effort on it.
What is Big O function?
Big O notation is a mathematical notation that
describes the limiting behavior of a function when the argument tends towards a particular value or infinity
. … In computer science, big O notation is used to classify algorithms according to how their run time or space requirements grow as the input size grows.
Why algorithms are written?
A finite set of steps that must be followed to solve any problem is called an algorithm. Algorithm is generally developed before the actual coding is done. It is
written using English like language so that it is easily understandable even by non-programmers
.
What are the advantages of algorithm?
- It is a step-wise representation of a solution to a given problem, which makes it easy to understand.
- An algorithm uses a definite procedure.
- It is not dependent on any programming language, so it is easy to understand for anyone even without programming knowledge.
What are the features of algorithm?
- Unambiguous − Algorithm should be clear and unambiguous. …
- Input − An algorithm should have 0 or more well-defined inputs.
- Output − An algorithm should have 1 or more well-defined outputs, and should match the desired output.
Which type of problem may be NP hard?
A problem is NP-hard if all problems in
NP are polynomial time reducible to it
, even though it may not be in NP itself. If a polynomial time algorithm exists for any of these problems, all problems in NP would be polynomial time solvable.
What is a feasible algorithm?
Abstract: Not all algorithms are feasible (=physically
possible
, either now or in the future). For example, an algorithm that requires 2 to the power 2/sup n/ computational steps for an input of length n will (for reasonable inputs) take time that is exponentially longer than the lifetime of the Universe.
