Balanced X-Sums
(Published on 25. May 2026, 13:43 by RockyRoer)
The Rules:
- [Sudoku] Normal sudoku rules apply -- fill every row, column, and region with the digits from 1 to 9 once each.
- [Balanced X-Sums] Each arrow indicates that the sum of the odd digits must equal the sum of the even digits in the first x cells seen in the direction of the arrow where x is the digit in the cell next to the clue.
The Puzzle:
Solution code: The row (from left to right) or column (from top to bottom) where one more horizontal or vertical arrow could have been drawn.
Comments
on 17. June 2026, 20:57 by feverlute
Blank grid. One rule. Some arrows looking in. So minimalist and beautiful. And it was fun to solve too! Amazing!
on 1. June 2026, 07:06 by MikeMeech
Seemed impossible at first, but once I did some thinking it all fell into place. Loved this ruleset!
on 26. May 2026, 23:53 by Exigus
Very interesting ruleset, thanks!
on 26. May 2026, 03:36 by jordanza
Absolutely magnificent!
on 25. May 2026, 21:22 by damo_89
If you like highly mathy puzzles this is gorgeous
on 25. May 2026, 18:30 by Myxo
Amazing!
on 25. May 2026, 17:38 by etoler
That felt absolutely impossible at first, and I'm still a little bit surprised it wasn't. Once you get going, though, the flow is just stunning. Fabulous setting!
on 25. May 2026, 17:04 by psams
I always enjoy solving your cleverly crafted and often mathematical puzzles. Thanks for sharing this one.
on 25. May 2026, 16:23 by marcmees
Totally worth waiting nearly 4 months for an other RR puzzle. Thanks
on 25. May 2026, 16:13 by Flinty
Beautfiul puzzle. Some cracking logic.
on 25. May 2026, 15:36 by Franjo
Thank you very much for creating and sharing another fantastic puzzle. I think I saw these balanced sums recently on CtC, but this implementation as X-Sums is gorgeous!
on 25. May 2026, 15:34 by mihel111
Needs a bit of prep. Very clean solve after that. Short and simple ruleset. Elegant setting. +++
