For the figure below, we have $7$ different subnets $($A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$),6$ routers $($R$1,$ R$2,$ R$3,\backslash (\backslash$mathrm$\{$R$\}4,\backslash$mathrm$\{$R$\}5\backslash ),$ and R$6),$ and $2$ hosts $($ H $1$ and H $2).$ We also assume that there are many hosts attached to each subnet but are not shown to preserve the figure's simplicity. Suppose that you want to avoid all the hassle of configuring all the IPs on a certain subnet manually $($including any newly added devices in the future$),$ what should you do$?(10$ points$)$

For Subnet F $(20$ points$)$:

a$.$ write down the binary representation of the network address and the subnet mask

b$.$ How many hosts can be attached to subnet F$?$