What is the difference between deterministic and non-deterministic algorithms?

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What is the difference between deterministic and non-deterministic algorithms?

The main difference between deterministic and non-deterministic algorithms lies in their approach to solving problems.

Deterministic algorithms follow a step-by-step procedure and produce the same output for a given input every time they are executed. They are predictable and their behavior can be precisely determined. These algorithms are based on a set of rules and conditions that guide their execution, ensuring that they always produce the same result. Deterministic algorithms are commonly used in various computational tasks and are easier to analyze and understand.

On the other hand, non-deterministic algorithms do not follow a fixed set of rules and can exhibit different behaviors for the same input. They introduce an element of randomness or uncertainty into the computation process. Non-deterministic algorithms explore multiple possible paths simultaneously and may provide different results each time they are executed. These algorithms are often used in optimization problems or in situations where finding an exact solution is difficult or time-consuming.

In summary, deterministic algorithms are predictable and produce the same output for a given input, while non-deterministic algorithms introduce randomness or uncertainty and can produce different outputs for the same input.