Fogrotto
(Published on 17. December 2022, 15:29 by mathpesto)
Rules:
Normal Sudoku rules apply.
Fog of War: The grid is covered mostly in darkness. Placing correct digits in cells will illuminate more of the grid.
Cave: Cells are either wall or cave cells. Walls are orthogonally connected to the edge of the grid and the cave is one orthogonally connected area. A 2x2 area cannot be fully wall nor fully cave. White circles are cave cells and the value in a circle is the number of cave cells seen in that row and column, including the cell itself. Walls obstruct vision.
Killer: A cage contains no repeated digits, and the values of the cave cells sum to the given total. Wall cells don’t count towards the sum. (Note: A cage’s clue doesn't necessarily appear in the uppermost nor leftmost cell.)
Doubler: A doubler appears exactly once in each row, column, and 3x3 box. For purposes of circles and cage sums, such cells’ digits are doubled in value. Each digit is doubled once.
Solve:
Solution code: Digits in row 1 (left to right) then column 4 (top to bottom) (18 digits, no spaces)
Comments
on 22. December 2023, 23:39 by StephenR
Definitely one of the best fog of wars I've done, a delight from start to finish. Even when FOWs are difficult, you always know where you have to look. I don't know if that's an interesting challenge to setters or a limitation of the genre.
on 24. August 2023, 13:22 by vfig
tough but really enjoyable! lmd tells me i apparently solved this back in december last year; i must have completely forgotten. but never mind, i just enjoyed solving it all over again! :)
on 15. May 2023, 16:27 by kmoter
Truly a journey through foggy cave, thanks
on 30. January 2023, 19:59 by Vebby
Magnificent construction!
on 28. December 2022, 00:49 by AnalyticalNinja
Well that was definitely the trickiest FoW puzzle I've solved. Very cool puzzle though, I enjoyed that immensely.
on 25. December 2022, 07:34 by TJReds
Officially my first 4 star completed, and gosh was it a beautiful puzzle! (Only took 3.5 hours but wholly worth it!)
on 23. December 2022, 01:05 by poundcayx
Simon is right in saying this is the best fog of war puzzle made so far. beautiful!
on 22. December 2022, 23:32 by chalk235
Wonderful puzzle - a work of art!
on 21. December 2022, 15:59 by ddx2407
Really beautiful puzzle. Highly recommend this one.
on 19. December 2022, 21:32 by Christounet
Really nice puzzle ! The combination of all the rules worked magically. Thanks.
on 19. December 2022, 14:26 by Chilly
Very nice - my first cave puzzle too. Enjoyed it a lot :)
on 19. December 2022, 14:04 by Fool on Hill
Nice interaction of mixed logic - quite a challenge to solve: so easy to make a wrong assumption.
on 19. December 2022, 07:34 by henrypijames
The comparatively low rating is entirely unfair to this great puzzle.
on 18. December 2022, 14:30 by Snookerfan
Very good! Thank you
on 18. December 2022, 08:58 by erml
This is brilliant, thank you!
on 18. December 2022, 02:11 by cdwg2000
Very nice!
on 18. December 2022, 01:23 by Ofri
Incredible puzlle! Nice inventive logic, was a real treat. Thank you!
on 18. December 2022, 00:51 by wisty
This was one of the first cave puzzles I've solved and it took me awhile due to getting used to the scanning for it but I really enjoyed it and found it quite approachable! Thank you so much for sharing :)
on 17. December 2022, 23:32 by MagnusJosefsson
Great puzzle, I enjoyed it a lot!
on 17. December 2022, 18:52 by Bellsita
My first cave puzzle!! I loved it!
