Modular Region Sum Lines Sudoku
(Published on 7. March 2024, 20:52 by Phistomefel)
- Normal Sudoku rules apply.
- Draw in lines that move orthogonally from cell to cell. Two circles of the same colour are start and end of a line. Lines may not intersect themselves or other lines.
- The lines drawn in the grid act both as a Region Sum Line and a Modular Line. Additionally, digits CANNOT repeat on a line.
- Region Sum Line: Digits on a line have the same sum in each region the line passes through. If a line passes through a region multiple times, each individual segment sums separately.
- Modular Line: Every set of three sequential digits along a line must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}.
Solution code: First row, last column (18 digits)
Comments
on 15. April 2024, 14:45 by Christounet
Great stuff ! Not a fan of modular logic usually (mainly because my brain doesn't work well around modulo arithmetic), but this puzzle makes a great use of it and I was surprised how I was able to understand what you made us do very clearly ! Thanks :)
on 12. April 2024, 10:43 by Prutsbeest
Some pretty hard logic but very nice!!
on 29. March 2024, 19:23 by Agent
Very nice! Some surprising interactions.
on 21. March 2024, 07:57 by Erin
Loved this puzzle, had stopped solving for a while and this got me back into it!
on 15. March 2024, 01:38 by OGRussHood
One of life's greatest joys: a new Phistomefel puzzle.
on 14. March 2024, 22:20 by samuel1997
Brilliant!
on 13. March 2024, 19:07 by Nordy
Awesome!
on 9. March 2024, 05:33 by femto113
Not quite as hard as I expected but still a very enjoyable challenge and a satisfying finish.
on 9. March 2024, 02:38 by cam
I'll give this puzzle the best compliment any puzzle can receive: this solved like a Phistomefel puzzle.
on 8. March 2024, 23:30 by yttrio
Fantastic puzzle! Having some experience with combining modular and regions sum lines definitely helped, but there were plenty of new things to discover!
on 8. March 2024, 21:19 by trashghost
Absolutely beautiful! Every step had me pausing in disbelief and muttering “wow.” Such a gorgeous and rich puzzle with brilliant, solid deductions around every corner. Thanks for the fun and welcome back!!
on 8. March 2024, 19:35 by TheBestThatICouldDo
This was so rewarding, a deeply generous puzzle. So many of the deductions felt both novel and rock solid - which is so so satisfying. Brilliant work - thanks so much.
on 8. March 2024, 18:09 by Lion Crow
Splendid puzzle, fun to solve. Thankyou.
on 8. March 2024, 17:16 by wand
loved it, tricky but rewarding deductions throughout!
on 8. March 2024, 17:02 by Jesper
Great to see you back in the puzzle portal, Phistomefel! And with a very nice puzzle, too :)
on 8. March 2024, 11:38 by Piatato
Lovely puzzle, nice deductions throughout. :-)
on 8. March 2024, 06:13 by Phistomefel
Thanks a lot for the warm welcome back! I am glad you enjoyed the puzzle. (:
on 8. March 2024, 03:40 by Calvinball
The beacons are lit in celebration. They are having glorious feasts in Andor and Gondor. It's The Return of the King!
And his return was epic and triumphant.
on 8. March 2024, 00:23 by OutOfMyMindBRB
What a masterpiece! New clever deductions from start to finish. A joy to solve - thank you :-)
on 7. March 2024, 23:42 by bansalsaab
Amazing as usual. Breakin was easier than usual but there was always a challenge.
