Normal sudoku rules apply. Digits on a black dot have a ratio of 2:1. Not all black dots are necessarily given.
The lines in the grid are 20 lines. Each line can be broken into one or more strings of digits which sum to 20. Digits may repeat freely on a 20 line, and even within a sum.
Have fun, leave a comment if you enjoy the puzzle!
PS: I stream solving sudoku like puzzles three days a week. You can check out the channel, as well as some videos I have made about setting puzzles, at my YouTube channel here.
Solution code: Row 7
on 30. November 2023, 20:30 by StephenR
Lovely puzzle, which flowed as mellifluously as the most mellifluous jar of honey.
on 15. October 2022, 16:32 by Niverio
Very lovely puzzle as usual!
on 15. October 2022, 15:05 by Crusader175
Beautiful!
on 15. October 2022, 10:33 by apiyo
Really glad CtC brought this to my attention, zetamath! The opening sequence was very smooth and the ongoing deductions were very satisfying. Thanks very much :)
on 15. October 2022, 08:41 by ddx2407
Thank you, zetamath, for another lovely puzzle.
I'm not sure I agree with the current 3 stars rating, I felt it was tricky at parts.
Also, a lot of times I find it difficult to really enjoy puzzles that heavily rely on calculations, and I feel that these puzzles require more satisfying deduction steps to make the calculations "worth it". I think this one had those bits, and for a calculation puzzle it yet managed to be versatile, which was very very nice!
on 13. October 2022, 19:56 by wenchang
Very Nice! Spoiler alert!
https://youtu.be/ijxFyXFxip0
on 13. October 2022, 19:56 by wenchang
Very Nice! Spoiler alert!
https://youtu.be/ijxFyXFxip0
on 13. October 2022, 03:56 by twototenth
Highly enjoyable (of course, I would expect nothing less!)
on 12. October 2022, 22:31 by Christounet
Very enjoyable ! The division of the lines was a satisfying and approchable logic exercise. Thanks.
on 12. October 2022, 21:39 by BenceJoful
@Piatato The sums may not overlap; each cell on a line must belong to exactly one sum.
on 12. October 2022, 19:22 by Playmaker6174
Great fun solve path with some fascinating deductions! I particularly like the lines' division process :)
on 12. October 2022, 18:51 by Florian Wortmann
A worthy successor of "10 Lines".
on 12. October 2022, 17:23 by cdwg2000
Very nice!
on 12. October 2022, 15:55 by Andrewsarchus
Had a lot of fun with this one!
on 12. October 2022, 15:37 by SirWoezel
Very enjoyable puzzle. Thanks Z.
on 12. October 2022, 13:36 by Wessel Strijkstra
Refreshing logic, very smooth puzzle, enjoyed it :)
on 12. October 2022, 13:35 by Vebby
Beautiful construction! Some wonderful unusual deductions throughout the solve.