A peer$-$to$-$peer $($P$2$P$)$ network is shown in Fig. Q$1.$ Assign numeric addresses to each of the network nodes A through G and hence determine how the Kademlia protocol may be used to route messages from node A to node G$.$

P$2$P networks are typically overlay networks, running on the public Internet. Suppose that node C knows the IP address of node F in the network of Fig. Q$1.$ Discuss whether it would be possible to add a link from node C to node F in this P$2$P network, and if so$,$ whether and in what way, the resulting network will improve on that shown in Fig. Q$1.$