@techreport{oai:ipsj.ixsq.nii.ac.jp:00234588,
 author = {Shoei, Takahashi and Yuki, Tokuni and Akito, Tsujii and Hikaru, Manabe and Ryohei, Miyadera and Shoei, Takahashi and Yuki, Tokuni and Akito, Tsujii and Hikaru, Manabe and Ryohei, Miyadera},
 issue = {10},
 month = {Jun},
 note = {This study examines the relation between the Grundy numbers of a Maximum Nim and Josephus problem. Let f(x)=[x/k] where [ ] is a floor function and k is a positive integer such that k ≧ 2. We prove that there is a simple relation between a Maximum Nim with the rule function f and the Josephus problem, in which every k-th number is to be removed. Based on this relation, we propose a new method for solving the Josephus problem., This study examines the relation between the Grundy numbers of a Maximum Nim and Josephus problem. Let f(x)=[x/k] where [ ] is a floor function and k is a positive integer such that k ≧ 2. We prove that there is a simple relation between a Maximum Nim with the rule function f and the Josephus problem, in which every k-th number is to be removed. Based on this relation, we propose a new method for solving the Josephus problem.},
 title = {Maximum Nim and Josephus Problem},
 year = {2024}
}