Today's puzzle seems to be an somewhat recent Nikoli type, debuting in issue 166. I'm unable to find any instances of this puzzle online, other than listings on Cross+A and janko.at, and one grid in the GAPP series. It's a neat type, combining region division with Minesweeper-style clues. (Though these only count orthogonally adjacent cells rather than diagonally adjacent ones, so maybe they're actually Koburin-style clues? Shrug.)
Rules. Divide the grid into regions of orthogonally connected cells. Each region must contain exactly one circle. A number in a circle indicates how many cells are in the region the circle belongs to. A black cell is not part of any region, and indicates how many different regions it’s orthogonally adjacent to.
I'm using the Nikoli example grids here, which are lower-quality images but showcase the fact that the genre was originally constructed with cat symbols instead of circles. Everyone must know this vitally important information.