Logic Masters Deutschland e.V.

RULES:

• Shade some cells (representing "water") such that:
  • The water cells form a single orthogonally-connected region, with no 2x2 areas entirely shaded.
  • 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, unlike previous Hashikabe puzzles, 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 a different 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 a single network, such that you could travel from any island to any other island by crossing a series of bridges.
  • 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).
• Any number clue on a water cell is a Lighthouse. The number in a Lighthouse cell is the number of "boats" in the same row or column as that Lighthouse.
  • Boats must be placed on water cells. Boats cannot touch other boats nor lighthouses, not even diagonally.
  • Lighthouses can touch other lighthouses diagonally but not orthogonally (to clarify: all cells with two clues in them are island clues).
  • Bridges cannot be placed on top of lighthouses nor boats, but can be placed next to them.
  • Every boat shares a row or column with at least one Lighthouse.
• Some number clues have been replaced with question marks. These may represent any number, including zero.

(for Penpa's answer check, use Star Battle stars to represent Boats)

Penpa link

8x8 example puzzle