Curve optimization

Hello GH world!

I would like to share with you this work:
I have three fixed lengths (C,B,A)and I want to simplify the assigned curve to a polyline,whose segments are made by the combination of those lenghts.

there is one boundary condition:
the arch rise must lay over the curve (that means where the curve is concave i can use only C-type length).

task:
the more the A Type length segments are, the better the optimization gets.

could you please suggest me which components fits better to this kind of work?

tnk y so much!

_ -_
AiDi