Open AccessPosted Content
Optimal non-adaptive solutions for the counterfeit coin problem
TLDR
The optimal solutions to all versions of the popular counterfeit coin problem obtained by varying whether the counterfeit coin is heavier or lighter than the genuine ones are given are given.Abstract:
We give optimal solutions to all versions of the popular counterfeit coin problem obtained by varying whether (i) we know if the counterfeit coin is heavier or lighter than the genuine ones, (ii) we know if the counterfeit coin exists, (iii) we have access to additional genuine coins, and (iv) we need to determine if the counterfeit coin is heavier or lighter than the genuine ones. Moreover, our solutions are non-adaptive.read more
References
More filters
Journal ArticleDOI
Two counterfeit coins
TL;DR: In this article, the problem of determining the minimum number of 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, was considered.
Journal ArticleDOI
How to find many counterfeit coins
TL;DR: An algorithm for findingm defective coins, that uses at most log 3 weighings on a balance scale, wheren is the number of all coins.
Journal ArticleDOI
A new competitive algorithm for the counterfeit coin problem
TL;DR: This paper proposes an algorithm with uniform good performance for finding the counterfeit coin among a set of n coins that assumes no knowledge of the number of counterfeit coins.
Journal ArticleDOI
Searching for a subset of counterfeit coins: Randomization vs determinism and adaptiveness vs non-adaptiveness
TL;DR: The problem, known as Counterfeit Coins problem, is to identify the set of defective coins by minimizing the number of weighings, also called queries, because Θ(klog k +1(n/k) queries are enough, even for non‐adaptive algorithms.
Journal ArticleDOI
The general counterfeit coin problem
TL;DR: 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?
Related Papers (5)
Finding collisions on a public road, or do secure hash functions need secret coins?
Chun Yuan Hsiao,Leonid Reyzin +1 more