Mezuzah placement with sliding doors?

So I've been researching where to place Mezuzot if you have sliding glass doors going to an enclosed backyard. I can't find anything that is decipherable and has a diagram illustrating my point... Sooooooooo... Here is my picture, and as soon as I get an answer from a proper halachic authority, I'll post it so Google can index it and the next person asking the same question won't have the same stress I am going through right now...