Rules - Process of Illumination

Process of Illumination was invented by the Japanese puzzle company Nikoli.  The name comes from mathgrant.  (Look, I'm horrible at coming up with names, and don't like using the Japanese ones)

1. Place light bulbs in some of the white cells.
2. A light bulb illuminates its own cell and all cells in a horizontal or vertical line from it up to a black cell or the puzzles edge.
3. All cells must be illuminated.
4. No light bulbs may illuminate each other.
5. A number in a black cell says how many light bulbs are orthogonally adjacent (share an edge) with that black cell.