Consider the following layer$-2$ network in which switches run the distributed Spanning$-$Tree

Protocol $($STP$),$ as seen in the lecture, and where all links have a cost of $1.$ This network

interconnects two hosts, host $1$ and host $2,$ and an IP router which acts as default gateway

for the hosts. In case a switch receives two BPDUs from different neighbors with equal cost,

it selects the neighbor with the lower identifier.

In the following, we ask you to indicate the best and worst possible position$($s$)$ for the root

switch distinguishing between two cases:

$1.$ host $1$ and host $2$ are located in the same IP subnet, e$.$g$.192\mathrm{.}168\mathrm{.}1\mathrm{.}0/24.$

$2.$ host $1$ and host $2$ are located in distinct IP subnets, e$.$g$.192\mathrm{.}168\mathrm{.}1\mathrm{.}0/24$ for host $1$ and

$192\mathrm{.}168\mathrm{.}2\mathrm{.}0/24$ for host $2$