How to find out the minimal version of required library of my python project?

Intro:

I have a python project, bestproj, which requires the python library awesomelib (included into requirements.txt used by setuptool). awesomelib is a well maintained project, with several versions. So some versions of awesomelib are not compatible with my bestproj.

Goal:

Fill the requirements.txt properly, like this:

awesomelib>=0.2,!=1.11

Q:

Is there any automated way (not to install manually and run all of my unittest) to test my bestproj project with different version of awesomelib

• to get the minimal version of awesomelib
• get the blacklisted versions, which are not compatible with my bestproj?