Now, I'm fully aware of the PROBLEM of boys/men/guys not washing their hands before leaving a restroom, whether in public or at home. For some reason this seems to be an issue with the males in general. I'm always asking my oldest if he washed his hands. (He tends to forget to do it at home, but thankfully he remembers while out in public).
Here is a shocker for you gents though... I've seen WAAAAAAAAY too many women/girls walk out of a bathroom without washing their hands! Usually when this happens, I wash mine, dry with paper towel and use said paper towel to open the door, then I toss it to the trash. If it makes it GREAT! if it doesnt make it, OH WELL! lol
Its really one of my pet peeves with public restrooms. Another one I have is when someone has sprinkled when they tinkled after hovering over the toilet. FOR GOD SAKE use the seat cover or toilet paper PLEASE! I dont like wiping up someone else's mess and I'm definitely NOT sitting down on that. You guys are lucky, you've got a urinal if you need to do #1. Us poor womenfolk always have to sit.
I was at a restroom at a ball park recently (baseball) and someone's little girl had apparently did #2 in their undies while there. (Potty training struggles are NEVER fun). Instead of them throwing the undies in the trash, they left them behind the toilet!!!!!!!!

OMG PEOPLE CLEAN UP YOUR MESSES! Its not an outhouse where you leave your "mess" behind (pun intended), its a public restroom! Use your manners!!!