标题： Collapsi 是强解的 显示英文标题

标题： Collapsi is strongly solved

摘要： Collapsi 是一款由 Mark S. Ball 于 2025 年 6 月发布的两人完全信息游戏。 该游戏使用两个棋子在一个由 16 张随机混合的牌组成的环形棋盘上进行，玩家轮流根据他们所在的牌的价值移动，当一名玩家没有合法移动时游戏结束。 在对称性打破后的可能发牌数量足够少，且游戏树足够浅，使得对游戏进行全面分析成为可能。 编写了一个求解器，可以在大约 20 毫秒内为给定的棋盘位置找到一个最优移动。 进行了一次搜索，结果显示先手玩家可以在 37.5% 的发牌中强制获胜，而后手玩家可以在其余所有发牌中强制获胜。 在 6.4% 的发牌中，失败的玩家可以将游戏延长到最大长度 14 步；任何情况下，少于 7 步都无法强制获胜。 显示英文摘要

摘要： Collapsi is a two-player game of complete information released in June 2025 by Mark S. Ball of Riffle Shuffle & Roll. Played with two pawns on a toroidal board of 16 randomly mixed playing cards, players take it in turns to move based on the value of the card they sit on, with the game ending when a player has no legal moves. The number of possible deals after symmetry breaking is low enough, and the game tree shallow enough, to make an exhaustive analysis of the game feasible. A solver was written that can find an optimal move for a given board position in around 20 milliseconds. A search was applied revealing that the first player can force a win in 37.5% of deals, with the second player able to force a win in all others. In 6.4% of deals the losing player can prolong the game to the maximum length of 14 plies; a win can never be forced in fewer than 7 plies.