This is similar to Kurotto.
Puzzle and Goal
An unsolved puzzle consists of a square; some cells have numbers in them, or an empty box.
The goal is to blacken square regions of cells.
The solved grid must satisfy the following conditions:
Numbers indicate the total number of black cells in regions orthogonally neighboring the clue.
Blackened regions must be square.
Blackened regions cannot be orthogonally adjacent to each other.
An empty square must be neighbored by at least one black square.