When does a Randomized Algorithm perform best?
When does a Randomized Algorithm perform best? What is a Randomized Algorithm? Basically, we use a random algorithm that typically gives any random number or value as an input to our executing program to decide what to do next anywhere in our logic. This algorithm is used to reduce the time complexity, memory used or space complexity, in a standard algorithm to guide its behavior, and also achieve good performance in “Average Case” over all possible choices of random value. Fig 1. This figure (Fig 1.) clearly specifies that whenever our logic stuck, a random value is given to our algorithm as an input or with input to get an output. Classification of Randomized Algorithm Las Vegas algorithm: It was introduced by László Babai in 1979, this randomized algorithm produces either correct output, or no output when no result is found, but it cannot guarantee a time constraint. Time complexity is not fixed (not deterministic), it can vary for the same input. It somehow guarantees an upp...