Origin of phrase "In Soviet Russia, XXX X's YOU!"

I’ve seen this construct several times on the board here. It’s cute and I dig it, but I’m just curious what phrase started this little epidemic, and why. That’s all, thanks.

I believe the construct was coined by Yakov Smirnoff

Ahh… and it’s called ‘Russian Reversal’

I should have known there’s not only already a name for the phenomenon, but a Wiki article on it! “Russian reversal” it is then.

In Soviet Russia, Reversal Russians you!

Wow, that makes no sense at all…

No, but it sounds vaguely dirty.