Battleship Lighthouse Hashikabe
(Published on 2. June 2024, 05:10 by Nell Gwyn)
EXAMPLE PUZZLE:
- Shade some cells (representing "water") such that:
- The water cells form a single orthogonally-connected region, with no 2x2 areas.
- Each orthogonally-connected group of unshaded cells (or "island") contains exactly two numeric clues (the two clues may occupy the same cell, indicated with smaller numbers in the corners of a cell), and one of those clues is the number of cells in that island.
- However, not all numbers are part of islands (see below).
- The other clue in each island is the number of bridges connecting that island to other islands.
- A bridge is a straight line from a cell on one island to a cell on another island, with only water cells in between. Bridges cannot change direction, cannot cross one another, and cannot start or end on the same cell as another bridge.
- The bridges must join all the islands into one interconnected network.
- Each pair of islands has either 0, 1 or 2 bridges connecting it (this rule is not needed to solve this particular puzzle, but may be useful for a hint).
- Place the given Battleships (rotating them 90 degrees as needed) in the grid. "x2" means you must place two Battleships of the indicated size, "x3" means you must place three, and so on.
- Any numeric clue on a water cell is a Lighthouse. A Lighthouse gives the number of cells in its row and column that are occupied by Battleships.
- Battleships must be placed entirely on water cells, and cannot touch other Battleships nor Lighthouses, even diagonally.
- Lighthouses can touch other lighthouses diagonally but not orthogonally (a cell with two number clues is always an Island cell).
- Bridges cannot be placed on top of Lighthouses nor Battleships, but can be placed next to them.
- Some number clues have been replaced with question marks. These may represent any number, including zero.
Penpa link
8x8 Example puzzle
Solution code: Row 7, left to right, notated as follows: A = island cell with a bridge; B = island cell with no bridge; C = water cell with a bridge; D = water cell (or lighthouse) with no bridge or Battleship; E = water cell with a Battleship. (in the 8x8 example puzzle, row 4 would be "BBBAACAA" and row 5 would be "BEBEEDDC")
Solved by jkuo7, Jesper, MagnusJosefsson, Christounet, GoogleEnPassant, Mr_tn, RubberMittens, MaizeGator
Comments
on 5. June 2024, 16:38 by Christounet
Cool puzzle and another interesting layer in that serie ! Hope you keep making more ! Thanks :)
on 3. June 2024, 15:58 by MagnusJosefsson
Cool original combination, very nice!
on 2. June 2024, 15:21 by Jesper
Very enjoyable puzzle, thanks!