Randomized algorithm for 3SAT
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04-11-2019 - |
Pregunta
There is a very simple randomized algorithm that, given a 3SAT, produces an assignment satisfying at least 7/8 of the clauses (in expectation): choose a random assignment. A random assignment satisfies each clause with probability 7/8, and so linearity of expectation shows that the expected fraction of clauses satisfied by a random assignment is 7/8.
Can this be done in a deterministic way? If so, why are we interested in the randomized algorithm?
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