Problem $1(10$ points$)$:

Consider the network shown in Figure below.

a$)(5$ points$)$ Compute$/$draw the minimum spanning tree for router $C$ as root taking into

account the shown link cost numbers.

b$)(5$ points$)$ Compute$/$draw the multicast minimum spanning tree for router $C$ for a group

with members at routers A$,$ B$,$ C$.$ D$,$ E$,$ and I.

Hint: You can compute minimum routes by inspection and without showing details; i$.$e$.$

you do not need to execute Dijkstra's algorithm.