I’m not sure I’ve ever seen a puzzle with a selectively-negative constraint like this. The grid is marked like a 9x9 checkerboard, and only on shaded cells, there’s a “local global” constraint, so if a shaded cell is not marked as minimum nor as maximum, that’s important information.
How to come up with a title that somehow references Autophilia, Min/Max, and Non-Consecutive constraints all at once? I tried, I really tried. In the end I settled for something that might remind you of Autophilia and Min/Max, and I just hope you remember Non-Consecutive on your own.
While setting puzzles, I sometimes have a song running through my mind, but when it comes to naming, often I find that I’ve misremembered lyrics or entirely invented songs. This puzzle’s title goes with a tune, but none that’s ever been heard by anyone but me.
It’s the Goldilocks of Min/Max puzzles: equal parts hot and cold, high and low, maximum and minimum, for a result that is completely and thoroughly medium.