From the previous update round:
In the previous round, N3 sent its old distance vector (7,6,0,2,6) to its neighbors.
N4 sent its distance vector (8,7,2,0,4) to its neighbors.
N2 sent its distance vector to N3, which N3 used in the previous question to become (3,2,0,2,5).
Now, between rounds, the link N1-N2 goes down:
N2 immediately sets its cost/distance to N1 to ∞ in its local distance vector before the new exchange, or discovers it upon failure.
In this round of exchange:
N3 receives the distance vectors from its neighbors N2 and N4.
N2's distance to N1 is ∞.
N4's distance to N1 is 8 (from N4's vector: (8,7,2,0,4)).
Now node N3 recomputes its distance to N1:
DN3(N1)=min{c(N3,N2)+DN2(N1),c(N3,N4)+DN4(N1)} DN3(N1)=min{2+∞,2+8}=min(∞,10)=10 Thus, the new cost to N1 in the distance vector of N3 is 10.
Therefore, option C is the correct choice.