【Quant绿皮书】Q2 Tiger and sheep

One hundred tigers and one sheep are put on a magic island that only has grass. Tigers can eat grass, but they would rather eat sheep. Assume: A. Each time only one tiger can eat one sheep, and that tiger itself will become a sheep after it eats the sheep. B. All tigers are smart and perfectly rational and they want to survive. So will the sheep be eaten?

一百只老虎和一只绵羊被安置在一个只有草的神奇岛屿上。老虎能够吃草，但它们更愿意吃绵羊。假设：A. 每次只有一只老虎能够吃一只绵羊，并且这只老虎在吃完绵羊后会变成绵羊。B. 所有的老虎都很聪明且完全理性，它们都想要生存。那么绵羊会被吃掉吗？

题目：老虎和羊
类别：脑筋急转弯
思路：
简单的递推问题，
1、一只老虎时：吃，因为它变成羊是安全的
2、两只老虎时：不吃，因为吃的老虎会变成羊遭到另一只老虎吃（也就是变成1的局面）
3、三只老虎时：吃，因为吃了等同变为2的局面，2的局面是不吃，变成羊的老虎是安全的
4、四只老虎时：不吃，...