Problem #PRU-35584

Problems Discrete Mathematics Set theory and logic Mathematical logic Mathematical logic (other)

Problem

There are 18 sweets in one piles, and 23 in another. Two play a game: in one go one can eat one pile of sweets, and the other can be divided into two piles. The loser is one who cannot make a move, i.e. before this player’s turn there are two piles of sweets with one sweet in each. Who wins with a regular game?