$($a$)[11$ marks$]$ In the dining philosophers problem, $n$ philosophers are seated

around a round table, with a plate of spaghetti in front of each philosopher. There are also $n$ forks, one between each plate, and each philosopher

wants to pick up the $2$ forks beside him$/$her so that they can eat. Suppose we have $n=6$ such philosophers and at time $t=0$ : nobody has picked up any fork at time $t=1$ : philosophers $1$ and $3$ have picked up two forks each, philosopher $5$ has picked up the fork to his$/$her right, and none of the others have picked up a fork.

Draw the Resource Allocation Graph at time $t=0$ and at time $t=1.$