A (3 + ) competitive algorithm for the counterfeit coin problem

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A 3/2 log 3-Competitive Algorithm for the Counterfeit Coin Problem

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The general counterfeit coin problem

Given c nickels among which there may be a counterfeit coin, which can only be told apart by its weight being di erent from the others, and moreover b balances. What is the minimal number of weighings to decide whether there is a counterfeit nickel, if so which one it is and whether it is heavier or lighter than a genuine nickel. We give an answer to this question for sequential and nonsequenti...

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Optimal non-adaptive solutions for the counterfeit coin problem

We give optimal solutions to all versions of the popular counterfeit coin problem obtained by varying whether (i) we know if the counterfeit coin is heavier or lighter than the genuine ones, (ii) we know if the counterfeit coin exists, (iii) we have access to additional genuine coins, and (iv) we need to determine if the counterfeit coin is heavier or lighter than the genuine ones. Moreover, ou...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1997

ISSN: 0012-365X

DOI: 10.1016/0012-365x(95)00314-m