標題: Solving Nine Layer Triangular Nim
作者: Shan, Yi-Chang
Wu, I-Chen
Lin, Hung-Hsuan
Kao, Kuo-Yuan
資訊工程學系
Department of Computer Science
關鍵字: Nim;Triangular Nim;retrograde;misere games;impartial games
公開日期: 1-一月-2012
摘要: Triangular Nim, one variant of the game Nim, is a common two-player game in Taiwan and China. In the past, Hsu [9] strongly solved seven layer Triangular Nim while some of the authors recently strongly solved eight layer Triangular Nim. The latter required 8 gigabytes in memory and 8,472 seconds. Using a retrograde method, this paper strongly solves nine layer Triangular Nim. In our first version, the program requires four terabytes in memory and takes about 129.21 days aggregately. In our second version, improved by removing some rotated and mirrored positions, the program reduces the memory by a factor of 5.72 and the computation time by a factor of 4.62. Our experiment result also shows that the loss rate is only 5.0%. This is also used to help improve the performance.
URI: http://hdl.handle.net/11536/15290
ISSN: 1016-2364
期刊: JOURNAL OF INFORMATION SCIENCE AND ENGINEERING
Volume: 28
Issue: 1
起始頁: 99
結束頁: 113
顯示於類別:期刊論文


文件中的檔案:

  1. 000299446100008.pdf