Complex networks q$1$c please

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 $4.$

$($a$)$ Draw the network and write down its adjacency matrix $A.$

$($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.

$($c$)$ Determine the in$-$degree sequence $\{k_1^{in},k_2^{in},k_3^{in},k_4^{in},k_5^{in}\}$ and the out$-$degree sequence $\{k_1^{\text{o}\text{u}\text{t}},k_2^{\text{o}\text{u}\text{t}},k_3^{\text{o}\text{u}\text{t}},k_4^{\text{o}\text{u}\text{t}},k_5^{\text{o}\text{u}\text{t}}\}$ of the network. Write down the average node in$-$degree, the average node out$-$degree, the node in$-$degree distribution $P^{in}(k)$ and the node out$-$degree distribution $P^{\text{o}\text{u}\text{t}}(k).$

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