| Item type |
SIG Technical Reports(1) |
| 公開日 |
2016-07-29 |
| タイトル |
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|
タイトル |
A Generalized Ryuoh-Nim:A Variant of the classical game of Wythoff Nim |
| タイトル |
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言語 |
en |
|
タイトル |
A Generalized Ryuoh-Nim:A Variant of the classical game of Wythoff Nim |
| 言語 |
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言語 |
eng |
| キーワード |
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主題Scheme |
Other |
|
主題 |
パズルゲームの理論 |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_18gh |
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資源タイプ |
technical report |
| 著者所属 |
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Kwansei Gakuin High School |
| 著者所属 |
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Hyogo University of Teacher Education |
| 著者所属 |
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Kwansei Gakuin High School |
| 著者所属 |
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Kwansei Gakuin High School |
| 著者所属(英) |
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|
en |
|
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Kwansei Gakuin High School |
| 著者所属(英) |
|
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|
en |
|
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Hyogo University of Teacher Education |
| 著者所属(英) |
|
|
|
en |
|
|
Kwansei Gakuin High School |
| 著者所属(英) |
|
|
|
en |
|
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Kwansei Gakuin High School |
| 著者名 |
Ryohei, Miyadera
Masanori, Fukui
Yushi, Nakaya
Yuki, Tokuni
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| 著者名(英) |
Ryohei, Miyadera
Masanori, Fukui
Yushi, Nakaya
Yuki, Tokuni
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| 論文抄録 |
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内容記述タイプ |
Other |
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内容記述 |
We introduce the impartial game of Ryuo Nim, a variant of the classical game of Wythoff Nim. In the latter game, two players take turns in moving a single Queen of Chess on a large board, attempting to be the first to put her in the lower left corner, position (0,0). Instead of the queen used in Wythoff Nim, we use the Ryuo that is a promoted Hisha (rook) piece of Japanese chess. The Ryuo combines the power of the rook and king in western chess. We prove that the Grundy number for this variant is expressed by G((x, y)) = mod(x +y, 3)+3(x/3 y/3), where mod(x +y, 3) is the remaider of x+y when divided by 3. We study a generalization of the Ryuo Nim whose Grudy number is expressed by mod(x + y, p) + p(x/py/p) for a natural number p. We also study a generalized Ryuo Nim with a pass. |
| 論文抄録(英) |
|
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内容記述タイプ |
Other |
|
内容記述 |
We introduce the impartial game of Ryuo Nim, a variant of the classical game of Wythoff Nim. In the latter game, two players take turns in moving a single Queen of Chess on a large board, attempting to be the first to put her in the lower left corner, position (0,0). Instead of the queen used in Wythoff Nim, we use the Ryuo that is a promoted Hisha (rook) piece of Japanese chess. The Ryuo combines the power of the rook and king in western chess. We prove that the Grundy number for this variant is expressed by G((x, y)) = mod(x +y, 3)+3(x/3 y/3), where mod(x +y, 3) is the remaider of x+y when divided by 3. We study a generalization of the Ryuo Nim whose Grudy number is expressed by mod(x + y, p) + p(x/py/p) for a natural number p. We also study a generalized Ryuo Nim with a pass. |
| 書誌レコードID |
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収録物識別子タイプ |
NCID |
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収録物識別子 |
AA12049625 |
| 書誌情報 |
研究報告エンタテインメントコンピューティング（EC）
巻 2016-EC-41,
号 14,
p. 1-3,
発行日 2016-07-29
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| ISSN |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
2188-8914 |
| Notice |
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SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc. |
| 出版者 |
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言語 |
ja |
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出版者 |
情報処理学会 |
IPSJ-EC16041014.pdf (588.2 kB)
