Does AlphaGo run in the cloud or is it a machine onsite at the match? I wonder how small AlphaGo could be scaled down and still beat Lee Sedol. How competitive

Does AlphaGo run in the cloud or is it a machine onsite at the match? I wonder how small AlphaGo could be scaled down and still beat Lee Sedol. How competitive would AlphaGo be running on an iPhone? :)