Signal Flow Graph Simulink and matlab

I have been given a challenge to create a code that when given the data it transfers it to a signal flow graph and finds the closed loop transfer function. So the concept is I can give the number of nodes, transmittances, branches and I have to make the signal flow graph and calculate the transfer function. And if there is a way for someone to put in the standard block it to just give us the closed loop transfer function and signal flow graph.

I have only tried this by hand so far, without implementing any of the code on matlab or simulink, but I will be soon, I just dont know where to start since this is only my third time using this software.

So we can be given the data like this and the program has to find the signal flow graph of it, or we can be given all the data we need that form the graph.

(this is not the diagram for the above block diagram)

This is what we would have to form, from this we would need to calculate the closed loop transfer function.

This would be all the steps that we might have to do in the program.

Any hints or help would be greatly appreciated, im really lost.