第二名玩家在圆周为11的圆柱无限连接4的不能输策略

Yoshiaki Yamaguchi
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引用次数: 0

摘要

cylinder - infinity -Connect-Four是在具有无限行高和围绕其宽度循环的列的圆柱形方形网格板上玩的connec- four。在之前的工作中,发现了第一个参与人在所有圆周上的不输策略,第二个参与人在除6和11以外的所有圆周上的不输策略。在本文中,我们展示了第二参与人在周长为11时的不输策略。
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Second player's cannot-lose strategy for Cylinder-Infinite-Connect-Four with circumference 11
Cylinder-Infinite-Connect-Four is Connect-Four played on a cylindrical square grid board with infinite row heights and columns that cycle about its width. In previous work, the first player’s cannot-lose strategies were discovered for all circumferences, and the second player’s cannot-lose strategies were discovered for all circumferences except for 6 and 11. In this paper, we show the second player’s cannot-lose strategy for circumference 11.
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