Thanks for the treat. This deeptively simple and yet beautiful Russian tune is, I have noticed, played in a Jazz swing style a lot. Your rention is perect for today. Mardi Gras. At my gig today I was asked to play a lot of jazz. I am not a "jazzer" per se but I played a lot of tunes that would fit for the occasion.

I enjoy listening to and playing well known simple tunes like this tastefully "rearrananged." I bet there are tens of hundreds of Youtube videos of this tune, but here are two "straight" versions.
http://tvpot.daum.net/v/QCyCKQI35m0$
https://www.youtube.com/watch?v=48oO9Mh2DDc