From the facts about the first grid
My first guess of the genre was
Naturally, the next step would be
It is not very hard, if we focus on the number 5:
Now to the second grid. With transcribed numbers, the grid to solve is this:
Starting with R4 and focusing on fives,
Then it gets a little harder...
Reading the sums of each ...
OK I found the answer, it is an actual game:
For the hitori, see the other answer
Note: Assuming this is correct: I certainly will not make new one before the weekend, and I don't have the rules of this game.