I interrupted them for a minute as I wanted to reach my computer from the overhead compartment. I booted it up and realized I only had Python pre-installed, but I didn't know anything about it. Thanks to the documentation included in the package, I was able to write this dirty script that resolves a Sudoku problem. It's far from being optimal and I'm sure there are much better mathematical approaches. My script does it's job in less than a second, which looks pretty acceptable to me.
I will probably clean the code at a later stage, but this is what I have for now: