Before Kurukshetra

Krishna and Arjuna are to play an unusual game before the battle of Kurukshetra because they wanted to get a bit relaxed before the war. This game is played this way: both players chose a non-negative number and they alternate turns until there are no more possible moves. The player who can't make a move is considered the loser, and the other one the winner. A turn consists of chosing one or two n