The Counterfeit Coin Problem Revisited

N Linial; M Tarsi

doi:10.1137/0211032

The Counterfeit Coin Problem Revisited

N Linial
, M Tarsi

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

We find the optimal algorithm in the sense of average run time for the counterfeit coin problem: Given n coins, one of which is heavier or lighter than the rest. Using a balance scale, find the counterfeit coin and whether it is heavy or light. An interesting feature of the solution is that our algorithm is a straight line algorithm. We also find the optimal algorithm if a standard coin is available for the first weighing.

Original language	American English
Pages (from-to)	409-415
Number of pages	7
Journal	SIAM Journal on Computing
Volume	11
Issue number	3
DOIs	https://doi.org/10.1137/0211032
State	Published - 1982

Keywords

Algorithms

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10.1137/0211032

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title = "The Counterfeit Coin Problem Revisited",

abstract = "We find the optimal algorithm in the sense of average run time for the counterfeit coin problem: Given n coins, one of which is heavier or lighter than the rest. Using a balance scale, find the counterfeit coin and whether it is heavy or light. An interesting feature of the solution is that our algorithm is a straight line algorithm. We also find the optimal algorithm if a standard coin is available for the first weighing.",

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The Counterfeit Coin Problem Revisited

Abstract

Keywords

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