Fillomino Kropki (444)

Divide the grid along the given lines into regions so that no two regions with the same area share an edge. Each of the given numbers must represent the area of the region it belongs to. A region may contain none, one or more of the given numbers. If there is a white dot between a pair of orthogonally adjacent cells, then the cells must contain numbers whose difference is exactly one. If there is a black dot between a pair of orthogonally adjacent cells, then the cells must contain numbers whose quotient is exactly two. There can be either black or white dot between 1 and 2. All possible dots are given.

Reference: WPC 2016 (65)