A Game of Game

Lets define G(x, {A1, A2, A3, ..., Ax}) as a game played by 2 players in which we have x piles of stones with ith pile having Ai stones. Player 1 moves first. The players move alternatively. In a move a player can select a single non empty pile of stones and remove any number ( > 0 ) of stones from it. When a player cannot make a move, the player loses. Adarsh and Saharsh are playing a modificati