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 13. July 2026, 18:57 by Ceramics-Quintet6
It really didn't seem like there was logic involved in completing the regions, at some point you just have to guess and hope that it aligns
on 22. May 2026, 20:37 by garycblack
Managed to solve it without the boundary rule (although needed it at the end to disambiguate the regions). Although, it would have been a lot easier with the boundary rule!
on 11. February 2026, 20:10 by wuc
Comparable to the others so 2* to me. Great series thx.
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.
