Interesting Game

Zen and Zenny decided to play a game.Game consist of $P$ apples in a container $B$ and they have also an array $A$ with $N$ elements.Game is played as follows , each player take turn to pick an element from the array and removes that number of apples from the container $B$, the player who is unable to remove the apples from the container looses the game. Zen start the game and if both players play