Modular arithmetic! Is someone a maths fan or did you just pick this concept at random without realizing what it was? :)
Now, the first game is what you are being judged on and that game has .... a fair few issues. I've been studying modular arithmetic at university for 2 years and although I understood what everything was meant to be and how it worked I was still basically just guessing (and really straining my eyes to look at those thin colors)
I've only played the new version really briefly, but WOW is it an improvement. The fancy UI bits are beyond helpful to your game. I've never seen such an extreme example of UI changing a game. Well done indeed :) I'll get back to the puzzles now :)