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We give optimal solutions to all versions of the popular counterfeit coinproblem obtained by varying whether (i) we know if the counterfeit coin isheavier or lighter than the genuine ones, (ii) we know if the counterfeit coinexists, (iii) we have access to additional genuine coins, and (iv) we need todetermine if the counterfeit coin is heavier or lighter than the genuine ones.Moreover, our solutions are non-adaptive.

Optimal non-adaptive solutions for the counterfeit coin problem