Suppose that the current replay window spans from $111$ to $430.(15$ points$)$

$($a$)$ If the next incoming authenticated packet has sequence number $99,$ what will the receiver do with the packet, and what will be the parameters of the window after that?

$($b$)$ If instead the next incoming authenticated packet has sequence number $420,$ what will the receiver do with the packet, and what will be the parameters of the window after that?

$($c$)$ If instead the next incoming authenticated packet has sequence number $566,$ what will the receiver do with the packet, and what will be the parameters of the window after that?