WI: The Paris Commune Succeeded

As I mentioned what would happen if the Paris Commune had succeeded, in this case the National Guard capture Versailles around about the 20th of March, taking out the more Reactionary Conservative Government of Adolphe Teir in the process whilst other revolutionary forces spring up in other cities.

So would happen in the aftermath, I get the feeling that the commune would spend much of 1871 making sure that they were in power and dealing with foreign powers supporting the remains of the Adolphe Teir government.

I wonder how the various Great Powers would react and the impact on the world's of Socialism and Anarchism.