Characteristics of an Algorithm

Definition

• An algorithm is a step-by-step procedure or set of rules designed to perform a task to solve a problem.

Clarity

• The algorithm's purpose and steps must be clear and readable.

Input and Output

• Must have well-defined input and output.

• Input can be zero or more inputs.

• Output must produce at least one result based on the input.

Finiteness

• Must terminate after a finite number of steps; no infinite loops.

Definiteness

• Each step is precise and unambiguous; actions lead to a single determined result.

Effectiveness

• Steps are basic enough to be carried out by a person with pencil and paper; operations are simple.

Correctness

• Produces correct output for all inputs within its defined domain; aligns with objectives.

Generality

• Applicable to a wide range of problems or inputs; not limited to a specific case.

Efficiency

• Efficient in time and space; aims to minimize time and memory usage; evaluated via time and space complexity.

Language Independence

• Implementable in different programming languages; logic remains the same across languages.

Summary

• Core characteristics: clarity, finiteness, input, output, and effectiveness; ensures the algorithm solves the problem.