Consider a router is working based on the Distance Vector Routing Algorithm. Consider the five-node network of the following figure.
Assume all nodes building distance from that node to $A$ (number of hops) and after initial set up, suddenly either $A$ goes down or the link between $A$ and $B$ is cut. What are the distance values at routers $B, C, D,$ and $E$ which they will find from node $A$ after $3^{rd}$ exchange?
$(A) B - 3, C - 4, D - 5, E - 4$
$(B) B - 5, C - 4, D - 5, E - 4$
$(C) B - 4, C - 5, D - 4, E - 5$
$(D)$ None