$1.$ In a game, each of two players can volunteer some of their spare time planting and cleaning up the community garden. They both like a nicer garden and the garden is nicer if they volunteer more time to work on it$.$ However, each would rather that the other person do the volunteering. Suppose that each player can volunteer $0,1,2,3,$ or $4$ hours. If player $1$ volunteers x hours and $2$ volunteers y hours, then the resultant garden gives each of them a utility payoff equal to sqrt$($x $+$ y$)$ Each player also gets disutility from the work involved in gardening. Suppose that player gets a disutility equal to x $($and player $2$ likewise gets a disutility equal to y$).$ Hence, the total utility of player $1$ is sqrt$($x $+$ y$)$ x$,$ and that of player $2$ is sqrt$($x $+$ y$)-$ y$.$

question: determine the nash equilirbia of the game