Cave Akari
(Published on 4. December 2020, 10:00 by Mark Sweep)
This is a 15x15 Cave/Akari hybrid I created. If it feels a bit overwhelming, make sure to try the 10x10 teaser first.
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
Solution code: For each row: total of lightbulbs + different wall segments, from top to bottom. The example puzzle would be 441224 (e.g. row 1 has 2 lightbulbs and 2 wall segments, so it is a 4 in the solution code). Note: different wall segments mean those that are not connected within that row. So, a wall-cave-wall within a row counts as 2 different wall segments, regardless of whether they do connect outside of that row.
Comments
on 22. February 2023, 01:15 by Agent
Wonderful puzzle! Really enjoyed this combo.
on 19. January 2023, 00:11 by Myxo
Very nice puzzle! Solid 4* difficulty imo. The counting exercise for the solution code is the real challenge.
on 9. September 2022, 19:09 by KNT
Wonderful! Very smooth for me, an instant favorite
on 11. August 2021, 21:43 by Mark Sweep
@juhish: Sorry for the late reply. I am glad Uhu was able to help you quickly. I have now updated the solution code description to hopefully make it more clear for any future solvers. Thank you for solving the puzzle!
on 11. August 2021, 21:39 by Mark Sweep
Updated solution code description
on 2. August 2021, 20:08 by Uhu
@juhish: Your solution is correct. You miscount the wall segments. For example, if you have a U-pentomino, the upper side of the U counts as two different wall segments, not as one because it is actually one (big) wall segment.
on 28. July 2021, 17:47 by Mark Sweep
Updated tags
on 15. March 2021, 20:09 by MartinR
That was tricky, but very satisfying to complete :)
--- Makes me happy to hear that :)
on 6. December 2020, 23:00 by Mark Sweep
Changed the German solution code description to match the English solution code description.
on 6. December 2020, 14:22 by Mark Sweep
Thanks for your nice comments! I'm glad to hear you enjoyed it!
on 4. December 2020, 16:11 by Jesper
Great puzzle! The two rulesets combine really nicely in this hybrid.
on 4. December 2020, 14:37 by MagnusJosefsson
Wonderful puzzle! Very nice and consistently challenging!
