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https://open.uns.ac.rs/handle/123456789/9949
Nаziv: | Two counterfeit coins | Аutоri: | Tošić, Ratko | Dаtum izdаvаnjа: | 1-јан-1983 | Čаsоpis: | Discrete Mathematics | Sažetak: | We consider the problem of ascertaining the minimum number of weighings which suffice to determine the counterfeit (heavier) coins in a set of n coins of the same appearance, given a balance scale and the information that there are exactly two heavier coins present. An optimal procedure is constructed for infinitely many n's, and for all other n's a lower bound and an upper bound for the maximum number of steps of an optimal precedure are determined which differ by just one unit. Some results of Cairns are improved, and his conjecture at the end of [3] is proved in a slightly modified form. © 1983. | URI: | https://open.uns.ac.rs/handle/123456789/9949 | ISSN: | 0012365X | DOI: | 10.1016/0012-365X(83)90123-1 |
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