Polyominous was invented by the Japanese puzzle company Nikoli (under the name Fillomino). The name Polyominous is shamelessly swiped from Zotmeister (although he doesn't seem to mind).
1. Divide the grid into polyominoes that satisfy the following rules.
2. Every number in the grid must be contained in a polyomino containing that quantity of squares.
3. No two polyominoes containing the same quantity of squares may share an edge. (If every square were numbered according to the quantity of squares in its corresponding polyomino, no two identical numbers will ever be on opposite sides of an edge.)
4. A polyomino may contain one, more than one, or none of the numbers originally given.