Roman Citadels
(Published on 14. July 2025, 16:00 by Blobz)
Image generated with Hotpot AI Art Generator
Divide the grid into seven provinces, each consisting of seven orthogonally connected cells. Every row, column and province must contain the digits 1 to 7 once each.
Every province contains a Citadel (circle). The seven citadels form a set of the digits 1 to 7.
Digits in caged cells indicate how many cells of the same province are seen orthogonally from that position, including itself. Other provinces block vision.
Digits separated by an X sum to 10. Digits separated by a V sum to 5. Additionally, X's and V's lie on the boundary between two provinces.
Have fun, leave a comment if you enjoy the puzzle!
Solution code: Row 1
Comments
on 17. July 2025, 15:04 by Steven666v2
I only solved 1 region before I finished, now to go back to complete! Really liked it!
on 17. July 2025, 09:43 by nearestneighbour
Fun fact, if you replace the X that separates rows 6 and 7 by a V you still get a valid puzzle (don't ask me how I know...)
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I’m curious to see your alternate solution.
~Blobz
on 15. July 2025, 13:53 by davidz32z
I found the region drawing much harder than the number portion of the puzzle! I trust blobz, but I still wasn't able to prove to myself why the regions I found were the only option, I just found a set that worked and called it done. Nice puzzle!
on 15. July 2025, 11:29 by Karitsu
Lovely snack! I only needed to determine 2 of the 7 provinces to finish. Agreed with GorgeousNicko about adjusting solution code to ensure full completion.
on 14. July 2025, 16:58 by GorgeousNicko
I really enjoyed this. Thanks.
I seem to have found all the numbers before I had determined all the provinces. You might consider incorporating something reflecting the colouring in the solution code for future puzzles using this kind of rule set, e.g. add a further string with the lengths of regions in row 3.
