Janmansh and Games

Janmansh and Jay are playing a game. They start with a number $X$ and they play a total of $Y$ moves. Janmansh plays the first move of the game, after which both the players make moves alternatingly. In one move, a player can increment or decrement $X$ by $1$. If the final number after performing $Y$ moves is even, then Janmansh wins otherwise, Jay wins. Determine the winner of the game if bot