Logic Masters Deutschland e.V.

Cave Akari (10x10 teaser)

(Eingestellt am 1. Dezember 2020, 10:00 Uhr von Mark Sweep)

This Friday I will post a 15x15 Cave/Akari hybrid. This is a teaser to get a bit of a feel for it.

Cells have to be shaded to create cave walls, such that these walls are orthogonally connected to the edges of the grid. The unshaded cells (the cave) need to remain orthogonally connected to each other to be able to traverse the cave. The cave also needs to be fully lit up, so lightbulbs need to be placed throughout the cave. Lightbulbs light up the cave in each orthogonal direction until a wall is reached. Two lightbulbs are not allowed to see each other.

Every clue in the grid is either a Cave (unshaded) or an Akari clue (shaded). Cave clues indicate how many cave cells it sees in orthogonal directions, including itself. Akari clues are part of the wall and indicate how many lightbulbs are orthogonally adjacent to the clue.

An example of what a finished grid could look like is shown below. Orange cells are lightbulbs.

Solve on Penpa

Lösungscode: For each row: total of lightbulbs + different wall segments, from top to bottom. The example puzzle would be 351224 (e.g. row 2 has 3 lightbulbs and 2 wall segments, so it is 5 in the solution code).

Zuletzt geändert am 2. Dezember 2020, 22:03 Uhr

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am 2. Dezember 2020, 22:03 Uhr von Mark Sweep
Changed solution code description, since the example was slightly changed.

Zuletzt geändert am 2. Dezember 2020, 22:02 Uhr

am 2. Dezember 2020, 19:46 Uhr von tubahat
Can a cave clue square also contain a lightbulb?

-- Yes, it could, I have changed the example such that it is more clear.

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