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Fillomino Rectangles (368)
Instruction:
Divide the grid along the dotted lines into rectangles so that no two rectangles with the same area share an edge. Inside some cells are numbers; each number must equal the area of the rectangle it belongs to. A rectangle may contain zero, one, or more of the given numbers. (It is possible to have a “hidden” rectangle: a rectangle without any of the given numbers. “Hidden” rectangles may have any area, including a value not present in the starting grid, such as a 6 in a puzzle with only clues numbered 1-5.)