Nurikabe Corners

Normal sudoku rules apply.

Divide the grid into a number of islands -- orthogonally connected groups of cells. Every island contains a single circled cell; the digit in the circle indicates the number of cells making up the island.

The islands are surrounded by a waterway -- a single orthogonally connected group of cells. All caged cells are waterway cells; the digit in a caged cell indicates how many waterway cells are seen orthogonally from that position, including itself (island cells block vision). The waterway cannot form any 2x2 areas.

White dots indicate where two islands touch at a corner; ALL such white dots are given. Additionally, diagonally opposite digits across a white dot are consecutive.

Black dots separate digits where one is double the other; NOT all possible black dots are given.