Nurikabe Seven
- Kropki dots
The brief
Normal latin square rules apply: place the digits 1-7 in every row and column.
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.
Black dots separate an island cell and a waterway cell where the digit in one is double the digit in the other.
Every island contains a set of consecutive digits in any order, without repeats.