منابع مشابه
Quantum Counterfeit Coin Problems
The counterfeit coin problem requires us to find all false coins from a given bunch of coins using a balance scale. We assume that the balance scale gives us only “balanced” or “tilted” information and that we know the number k of false coins in advance. The balance scale can be modeled by a certain type of oracle and its query complexity is a measure for the cost of weighing algorithms (the nu...
متن کاملThe general counterfeit coin problem
Given c nickels among which there may be a counterfeit coin, which can only be told apart by its weight being di erent 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 nonsequenti...
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In this discussion we examine two versions of the famous Counterfeit Coin Problem, focusing on their educational OR/MS content. It is shown that this problem provides an excellent environment for illustrating a number of fundamental OR/MS problem-solving concepts and methods related to decision making under uncertainty. A number of interactive modules are provided for experimentation with this ...
متن کاملSolution to the Counterfeit Coin Problem and its Generalization
This work deals with a classic problem: ”Given a set of coins among which there is a counterfeit coin of a different weight, find this counterfeit coin using ordinary balance scales, with the minimum number of weighings possible, and indicate whether it weighs less or more than the rest”. The method proposed here not only calculates the minimum number of weighings necessary, but also indicates ...
متن کاملOptimal non-adaptive solutions for the counterfeit coin problem
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, ou...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2012
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2012.05.039