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Every randomized algorithm can be simulated by a deterministic algorithm, at the expense of an exponential increase in running time. Derandomization is about converting randomized algorithms into efficient deterministic algorithms.
8
votes
Efficient and simple randomized algorithms where determinism is difficult
Majority problem in a query model.
Problem. We are given a set of $n$ balls colored with two or more colors. The goal is to find a ball of the majority color (i.e., a color that occurs more than n/2 t …
13
votes
Does randomness buy us anything inside P?
Problem: An array $A[1..2n]$ consists of $n$ 1s and $n$ 0s. Find an $i$ such that $A[i]$ is 1.
You are allowed to query 'Which number is present in $A[i]$'? Each query takes constant time.
Solutio …