MathDB

Anselmo and Claudio are playing alternatively a game with fruits in a box. The box initially has

32

fruits. Anselmo plays first and each turn consists of taking away

1

2

3

fruits from the box or taking away

\frac{2}{3}

of the fruits from the box (this is only possible when the number of the fruits left in the box is a multiple of

3

). The player that takes away the last fruit from the box wins. Which of these two players has a winning strategy? How should that player play in order to win?

Problem Statement