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arXiv · 2202.09864

R\'esolution du jeu de Juniper Green

Julien Lemoine
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Abstract

In this article, we describe the solution of the Juniper Green game for every integer, with techniques that are elementary enough to be explained to students who have mastered the notions of divisors and multiples. A general method allows us to solve the game for almost every integer, then there are less than fifty cases left to deal with. Each of these cases can be solved within a few minutes, with a paper and a pencil. -- Dans cet article, nous d\'ecrivons la r\'esolution du jeu de Juniper Green pour tout entier, avec des techniques suffisamment \'el\'ementaires pour \^etre expliqu\'ees \`a des \'el\`eves ma\^itrisant les notions de diviseurs et multiples. Une m\'ethode g\'en\'erale permet de r\'esoudre le jeu pour presque tout entier, si bien qu'il reste alors moins de cinquante cas \`a traiter, chacun pouvant \^etre r\'esolu au prix d'une \'etude sur papier de quelques minutes.

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Julien Lemoine. 2022-02-20. R\'esolution du jeu de Juniper Green. https://arxiv.org/abs/2202.09864

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