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Cylinder-Infinite-Connect-Four Except for Widths 2, 6, and 11 Is Solved: Draw

机译:解决了宽度2、6和11除外的圆柱无限连接四:绘制

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Cylinder-Infinite-Connect-Four is a variant of the Connect-Four game played on cylindrical boards of differing cyclic widths and infinite height. In this paper, we show strategies to avoid losing at Cylinder-Infinite-Connect-Four except for Widths 2, 6, and 11. If both players use the strategies, the game will be drawn. This result can also be used to show that Width-Limited-Infinite-Connect-Four is drawn for any width. We also show that Connect-Four of any size with passes allowed is drawn.
机译:Cylinder-Infinite-Connect-Four是在不同循环宽度和无限高度的圆柱形板上播放的Connect-Four游戏的一种变体。在本文中,我们展示了避免在Cylinder-Infinite-Connect-Four上输掉宽度2、6和11的策略,如果双方都使用策略,则将绘制游戏。此结果还可以用于显示针对任何宽度绘制的Width-Limited-Infinite-Connect-Four。我们还显示绘制了允许通过的任何大小的Connect-Four。

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