{"title":"Applying constraint programming to minimal lottery designs","authors":"David Cushing, David I. Stewart","doi":"10.1007/s10601-024-09368-5","DOIUrl":null,"url":null,"abstract":"<p>We develop and deploy a set of constraints for the purpose of calculating minimal sizes of lottery designs. Specifically, we find the minimum number of tickets of size six which are needed to match at least two balls on any draw of size six, whenever there are at most 70 balls.</p>","PeriodicalId":55211,"journal":{"name":"Constraints","volume":"15 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Constraints","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s10601-024-09368-5","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
引用次数: 0
Abstract
We develop and deploy a set of constraints for the purpose of calculating minimal sizes of lottery designs. Specifically, we find the minimum number of tickets of size six which are needed to match at least two balls on any draw of size six, whenever there are at most 70 balls.
期刊介绍：
Constraints provides a common forum for the many disciplines interested in constraint programming and constraint satisfaction and optimization, and the many application domains in which constraint technology is employed. It covers all aspects of computing with constraints: theory and practice, algorithms and systems, reasoning and programming, logics and languages.
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