I've done that several times as it's a typical AF transfer. No, they are not the same building -- 2F is separate from the building that houses 2A and 2C. I don't know about painless, but you don't ...
Im flying from Rio de Janeiro to Helsinki with a connection at Paris CDG, which means flight from non-Schengen area to Schengen area, I'll arrive at Terminal 2E not sure about the gates yet and then ...