sorting points along curve

Hi guys,

I have a bunch of small segments of curves inside rhino sorted randomly that will feed the grasshopper definition to create points. Then,  I would like to sort those points along a polyline that will be generated using the same input (curves) coming from rhino. The intention is the polyline follows each curve that is closer to the next one (imagine a rope).

I found out a way doing it, which is getting the closest pt from the previous pt and making a line in between them, and so on until I am able to tie all the string, but this way its a very iterative process to copy/paste definitions needed to the purpose. I am wondering how I could do this using data paths or with another smarter approach.

Hoping to get some help. Please see files attached. Many thanks for your time.

Cheers,

Alan