should i or should i not

[guccimane99]

Alright so im gonna jump into this right away. I dated this girl for a short period of time when i first met her we instantly connected it felt right. We dated and then she broke up with me. I went into no contact broke it and said give me another chance we worked on it she eventually blew me off for another guy. I yelled at her because she downgraded in my eyes and it was non of my business. Well then i get depressed school starts and i see her again. Nothing happens till the next month and she sends me a text and i don't respond she asked my friend how i was doing and this so happens to be the week before my bday. Then a month goes by and i start dating again. I dated this girl and she kinda blew me off alot. I told her that i didn't like that if she didn't like me anymore to break up with me and it will be done with otherwise don't blow me off. Well while she did this i started to compare her with my old and their was no compairison my old was better than my new so many better times. So i felt bad about blasting the guy so i wanted to write her a letter saying im sorry for the way i lashed out at her even thought in my head im not cuz u ******* me over, but it all comes down to being the bigger person. I hand write it and gave it to her and i got a text saying she accepted and she was sorry in her part. She was happy and hopes that i was and then sent me a text 10 minutes lalter saying that i have a big heart and to not change that. So i just sent a text saying thanks like 4 hours later. So then were getting ready for exams and that night my bestfriend and i go out to dinner. We have a dinner and we talk about his gf and my ex for some odd reason. I ask god to help me out with this and to give me a sign and friday i walked into the library and then back in and she was there. We both don't have classes on friday so im kinda like this is really weird. I ignored her and just smiled acted like she wasn't there. She left as soon as i sat down. My question is if i run into her again should i approach her and say hello. She is switching school next semester and like like 45 minutes away so i won't see her again really. Should i leave a good impression on her and just say hi and ask her how shes doing smile but not alot just be me or just ignore her. I do miss her alot but shes with someone. what should i do?