Usoone

Usoone is a Japanese logic puzzle. Fill the designated number of adjacent cells as indicated by the value in each numbered cell.

Usoone

Rules: Colour the grey cells in the grid black or white. A cell containing a number is always white.
The number indicates how many black cells are orthogonally adjacent to that cell.
In each region, exactly one number is false (it does not accurately indicate the number of orthogonally adjacent black cells).
Black cells must not be orthogonally adjacent to each other. All white cells must form a single orthogonally connected area.