Fillomino Rules

Fillomino is so-named because the task is to fill a grid with polyominoes.  Polyominoes are basically dominoes of different sizes.  They can be any size from one to the size of your grid, though that would make for a very uninteresting puzzle.  The rulese are:

1. A polyomino consists of a series of edge-connected squares.  When the puzzle is solved, each square in a polyomino will contain a number that is equal to the number of the squares in the polyomino.

2. No polyomino touches another polyomino of the same size along an edge.  They may touch at corners.

3. Every square in the grid must contain a number and be part of a polyomino.

4. Some polyominoes may have no clues given.  They still must follow the rules above, though.

Sample and solution follows