$3.[3]$ In Section $4\mathrm{.}2\mathrm{.}4,$ it was said that if $$is $$times faster than $,$ then only negligible queuing will occur at the input ports, even if all the packets are to be forwarded to the same output port. Now suppose that $,$ but all packets are to be forwarded to different output ports. Let $$be the time to transmit a packet. As a function of $,$ what is the maximum input queuing delay for a packet for the:

a$.(1)$ Memory switching fabric