Consider the directed network $G=(V,E)$ with $N=5$ nodes and $L=8$ links, in which

node $1$ points to nodes $2$ and $3,$ node $2$ points to node $4,$ node $3$ points to nodes $2$ and

$4,$ node $4$ points to node $2,$ and node $5$ points to nodes $3$ and $4.$

$($b$)$ How many weakly$-$connected components and how many non$-$trivial $($i$.$e$.$ with

more than one node$)$ strongly$-$connected components are there in the network?

List all the nodes belonging to each one of these components. List all the nodes

belonging, respectively, to the in$-$component and the out$-$component of each of the

non$-$trivial strongly$-$connected components.