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The general counterfeit coin problem

✍ Scribed by Lorenz Halbeisen; Norbert Hungerbühler


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
446 KB
Volume
147
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


Given c nickels among which there may be a counterfeit coin, which can only be told apart by its weight being different 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 nonsequential strategies and we will consider the problem of more than one counterfeit coin.


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