5 papers
A Problem of Knot
Ryohei Miyadera, Hikaru Manabe, Aoi Murakami +1
In this article, the authors give the correct answer to the following problem, which is presented in the well-known problem book "CHALLENGING MATHEMATICAL PROBLEMS WITH ELEMENTARY…
Maximum Nim and Josephus Problem
Shoei Takahashi, Hikaru Manabe, Ryohei Miyadera
In this study, we study the relation between Grundy numbers of a Maximum Nim and Josephus problem. Let f(x) = floor(x/k), where floor( ) is the floor function and k is a positive i…
A complete solution for the partisan chocolate game
Tomoaki Abuku, Hikaru Manabe, Richard J. Nowakowski +2
The class of Poset Take-Away games includes many interesting and difficult games. Playing on an -dimensional positive quadrant (the origin being the bottom of the poset) gives r…
Curious Properties of Iterative Sequences
Shoei Takahashi, Unchone Lee, Hikaru Manabe +4
In this study, several interesting iterative sequences were investigated. First, we define the iterative sequences. We fix function f(n). An iterative sequence starts with a natura…
Multi-Dimensional Chocolate and Nim with a Pass
Ryohei Miyadera, Hikaru Manabe
Chocolate-bar games are variants of the CHOMP game. A three-dimensional chocolate bar comprises a set of cubic boxes sized 1 X 1 X 1, with a bitter cubic box at the bottom of the c…