Parity Sum Lines Sudoku
(Published on 16. August 2022, 09:00 by Agent)
Having solved many arrow puzzles, I wondered what would happen if the circled cells on an arrow gave the sum of the odd digits and even digits separately. Here is my attempt at this ruleset. Inspiration comes from other variations of arrow sudoku with a similar theme, such as Double Arrows and Parity Lines. I think this ruleset has a lot of potential, and I would love to see more setters play around with it. I hope you will enjoy!
Rules
- Normal sudoku rules apply.
- Circles at the endpoints of a line indicate, in any order, the sum of odd digits along that line, and the sum of even digits along that line.
- Digits may repeat along a line, if allowed by other rules.
Clarifying notes:
- The endpoints of a line cannot refer to the same parity sum. One of them must give the sum of odd digits, and the other must give the sum of even digits. The endpoints contain the same digit if and only if both sums are equal.
- The same circle can give different parity sums on different lines. For example, if R2C3 sums even digits on the R2C2-R3C1-R4C2 line, we don't know whether it sums odd digits or even digits in box 2.
Puzzle links
Watch zetamath's live solve of the puzzle.Solution code: Column 1 (from top to bottom) then column 9 (from top to bottom)
Comments
on 1. March 2024, 13:58 by Piatato
Smooth and fun puzzle :)
on 3. May 2023, 19:15 by StephenR
Very good, thanks. After a slow start finally got my brain into gear and it turned out not to be as intractable as I first thought. A lot more was forced than I saw initially.
on 27. August 2022, 17:35 by Agent
Fixed HTML formatting.
on 27. August 2022, 17:34 by Agent
Added link to zetamath's live solve.
on 20. August 2022, 18:58 by Christounet
Great puzzle ! Fell into all the traps... but enjoyed every moment, even if i had to reset it once because I made a mess in the mid solve. Thanks++
-- Thank you @Christounet! I'm pleased to hear you enjoyed my puzzle.
on 17. August 2022, 23:48 by Agent
Thank you @OutOfMyMindBRB @lerroyy @Tilberg @AnalyticalNinja @Chilly @Banker @DaniK @percherwu2 for the kind comments! I am glad you enjoyed this puzzle.
on 17. August 2022, 18:39 by peacherwu2
Great idea and great construction!
on 17. August 2022, 18:26 by DaniK
I loved this puzzle! Thanks!
on 16. August 2022, 21:54 by Bankey
Lovely puzzle. Thanks, @ Agent :)
on 16. August 2022, 19:39 by Chilly
Fab puzzle - tinkered with it for an hour with little success - came back later and it just clicked - solved in 20 mins! Really enjoyed that.
on 16. August 2022, 14:11 by AnalyticalNinja
This was a beauty of a puzzle, and I really enjoyed figuring out how it worked. Thanks so much for setting it Agent!
on 16. August 2022, 14:07 by Agent
Updated description.
on 16. August 2022, 13:15 by Tilberg
Spannende neue Variante! Danke!
Interesting new variant! Thanks!
on 16. August 2022, 12:03 by lerroyy
Very nice puzzle! thanks
on 16. August 2022, 11:46 by OutOfMyMindBRB
That was fun and challenging! Loved it :-)
