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I wrote a program that simulates that game and presses random squares.
The simulation runs for over 10 minutes now and tried multiple billion moves. Billions! But no luck, the smallest number of black squares my simulation got was 5.
I myself also got 4 black squares...
Brute force / luck alone doesn't seem to work, otherwise my simulation would have solved it after a few million moves...
A shame that I don't know how to make my simulation intelligent yet.
Edit: I guess there are 2^55 possibilies. That are 36.028.797.018.963.968 (36 quadrillion!)
Do you maybe know what this mini-game is called, maybe some fancy algorithm already exists. I'm trying to get the ending myself and it's being a pain. I wouldn't mind coding an algorithm myself but if i do i'll probably just end up brute forcing it.... which as you showed, wouldn't really work. Any help would be appreciated, Thanks!
Sorry, I couldn't find the name of the game. I won't give up searching however...
My guess is, that the playing field is always random generated.
So my tip is to try again from the very beginning with another random generated playing field if you absolutely cannot reduce the numbers of the black squares anymore. Some might be nearly impossible so solve, and some others might be super easy.
So don't give up and good luck ^_^
P.S. the black squares don't have to be 0, so it is entirely possible :)
Sorry, I use a translator because I don't know English well