Han shot first.
In fact: In 1980, they made Han shoot first, with no hesitation, no remorse, then tell the barman ‘sorry about the mess’. When they re-edited it, they made Greedo shoot first so that Han would look like he had to shoot in order to save his life, which ruined the character introduction into the movie. They edited that part so that children would learn that Han wouldn’t seem like a violent and mean character to them. In any way, Greedo was a pretty bad bounty hunter… and I still prefer my VHS version.