石子游戏（Play with Stones）

最新推荐文章于 2024-07-02 07:01:09 发布

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最新推荐文章于 2024-07-02 07:01:09 发布 · 1.4k 阅读

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#C #C++ #算法

这篇博客探讨了一种两人玩的石子游戏，玩家轮流从数堆中取石子，每次取的数量不能超过该堆的一半。玩家需采取最优策略，以确保无论对手如何操作，自己都能最终获胜。如果作为先手的你有必胜策略，则输出'YES'，否则输出'NO'。博客提供了一个输入输出示例，并给出了问题的背景和规则。

You and your friend are playing a game in which you and your friend take turns removing stones from piles. Initially there areN piles with a₁,a₂, a₃,..., a_N number of stones. On each turn, a player must remove at least one stone from one pile but no more than half of the number of stones in that pile. The player who cannot make any moves is considered lost. For example, if there are three piles with 5, 1 and 2 stones, then the player can take 1 or 2 stones from first pile, no stone from second pile, and only 1 stone from third pile. Note that the player cannot take any stones from the second pile as 1 is more than half of 1 (the size of that pile). Assume that you and your friend play optimally and you play first, determine whether you have a winning move. You are said to have a winning move if after making that move, you can eventually win no