A (3 + ) competitive algorithm for the counterfeit coin problem
نویسندگان
چکیده
منابع مشابه
A 3/2 log 3-Competitive Algorithm for the Counterfeit Coin Problem
We study the following counterfeit coin problem: Suppose that there is a set of II coins. Each one is either heuuy or light. The goal is to sort them according to weight with a minimum number of weighings on a balance scale. Hu and Hwang gave an algorithm with a competitive ratio of 3 log 3 (all logarithms are base-2). Hu, Chen and Hwang also gave an algorithm with a competitive ratio of 2 log ...
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15 صفحه اولThe 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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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