Divide the grid into 12 regions, one of each size 1 to 12. Black cells are not in regions. A region may not contain repeated numbers, and it may only contain factors of its size (e.g. a region of size 6 may contain any combination of 1,2,3, and 6, including none of them). In this puzzle, enter a number into each cell with an arrow (other cells remain empty). That number must equal the number of cells belonging to its own region seen in a straight line in the corresponding direction (not counting itself) before the first cell outside the region (or the edge of the grid). (For the solution check function to work, in addition to entering the numbers on arrows, enter a 0 in the region of size 1.)