Logic Masters Deutschland e.V.

Rules:

Divide the cells in the grid into polyominoes so that no two polyominoes of the same size share an edge. Each fillomino cell contains a number equal to the size of its polyomino. The number in a cell with an arrow equals the amount of borders between polyominoes in that direction. (Edges of the grid do not count towards this total.) If a cell contains multiple arrows, each direction counts separately (e.g. if a cell containing a 2 has an east arrow and a southwest arrow, there are 2 borders in the east direction and 2 borders in the southwest direction).

Solve online:

Penpa