Puppy and game

Tuzik and his master Vanka are playing some unusual game. Initially there are two stacks of nuts. The first stack contains A nuts and the second contains B nuts. A player's move consists of two steps: - Choose one stack and eat it. - Split the other stack into two new stacks. If a player can't split it he loses (if stack contains only 1 nut). Tuzik starts the game. Tell who wins if both play