Interesting Esoterica

The general counterfeit coin problem

Article by Lorenz Halbeisen and Norbert Hungerb├╝hler
  • Published in 1995
  • Added on
In the collections
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.

Links

Other information

key
TheGeneralCounterfeitCoinProblem
type
article
date_added
2016-08-24
date_published
1995-01-22

BibTeX entry

@article{TheGeneralCounterfeitCoinProblem,
	key = {TheGeneralCounterfeitCoinProblem},
	type = {article},
	title = {The general counterfeit coin problem},
	author = {Lorenz Halbeisen and Norbert Hungerb{\"{u}}hler},
	abstract = {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.},
	comment = {},
	date_added = {2016-08-24},
	date_published = {1995-01-22},
	urls = {http://user.math.uzh.ch/halbeisen/publications/pdf/coin.pdf},
	collections = {Puzzles,Easily explained},
	url = {http://user.math.uzh.ch/halbeisen/publications/pdf/coin.pdf},
	urldate = {2016-08-24},
	year = 1995
}