A token bucket policing mechanism has the token generation rate of $18$ tokens per second and the bucket depth of $5.$ One packet requires one token to be transmitted.

Note: For each of the sub$-$questions below, enter your result as an integer $($without any unit$)$ in the answer box.

a$)$ What would be the maximum burst size $($in packets$)$ at the output of this mechanism?

b$)$ What would be the $($long$-$term$)$ average rate $($in packets per second$)$ at the output of this mechanism?