Rules of 'Nurikabe'

Each number in the grid is part of an island, such that the numbers in the squares represents the size of the island (in number of squares) including the square that contains the number. The squares that make up an island must be connected horizontally and/or vertically. Islands cannot touch other horizontally or vertically, but they can touch diagonally. The remaining squares represent water, and must be painted black. The water squares form a completely connected path around the islands, where successive squares share an edge either horizontally or vertically. No 2x2 region can be completely covered by water.

EXAMPLE:

UNIQUE SOLUTION: