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Searching for counterfeit coins

✍ Scribed by Martin Aigner; Anping Li


Publisher
Springer Japan
Year
1997
Tongue
English
Weight
414 KB
Volume
13
Category
Article
ISSN
0911-0119

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Two counterfeit coins
✍ Ratko ToΕ‘iΔ‡ πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 413 KB

We consider the problem of ascertaining the minimum number of weighings which sufike to determine the counterfeit (heavier) coins ia 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 constructe

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✍ Lorenz Halbeisen; Norbert HungerbΓΌhler πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 446 KB

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 o

On the conjecture at two counterfeit coi
✍ Anping Li πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 284 KB

Suppose among the given n coins there are two counterfeit coins, which are heavier (or lighter) than the normals. Denote by g,(n) the minimum number of weighings that suffice to search the two false coins by a balance. It is guessed that g&)=rlog,(;)l . This paper affirms the conjecture.