Automata Theory Questions Medium
A deterministic algorithm is a type of algorithm that, given the same input, will always produce the same output and follow the same sequence of steps. It operates in a predictable manner, meaning that the output can be determined solely by the input and the algorithm's logic. Deterministic algorithms are often used in situations where the correctness and repeatability of the output are crucial.
On the other hand, a randomized algorithm is an algorithm that incorporates an element of randomness or probability in its execution. This means that even with the same input, the output may vary each time the algorithm is run. Randomized algorithms use random numbers or random choices to introduce uncertainty into their computations. The randomness can be used to improve the efficiency or effectiveness of the algorithm, or to solve problems that are inherently probabilistic in nature.
The main difference between deterministic and randomized algorithms lies in their predictability. Deterministic algorithms always produce the same output for a given input, while randomized algorithms may produce different outputs for the same input due to the random choices made during their execution. Deterministic algorithms are often used when exact solutions are required, while randomized algorithms are employed when approximate solutions or probabilistic outcomes are acceptable.