NEED HELP. do i need to put random values for heuristic which are less than actual cost for h$1($n$)$ and h$2($n$)$ or is there any way to derive those values?

c$)[5$ pts$]$ Consider the following state space with heuristic functions h$1($state$)$ and

h$2($state$)($under the assumption that the goal state is G$).$

Provide $h1()$ and $h(2)$ values in the table above. Your values should satisfy the

following conditions:

both h$1()$ and h$2()$ are admissible,

h$2()$ always dominates h$1(),$

$h1(x)$ can't be equal to $h2(x)[$Exception: $h1(G)=h2(G)=0],$

all h $1()$ and h $2()$ values are positive. $[$Exception: $h1(G)=h2(G)=0],$