Negators
(Published on 20. August 2022, 00:41 by mathpesto)
This puzzle was inspired by zetamath's doubler ruleset, so check out those too if you haven't already. Comments and ratings are much appreciated, and please check out my other puzzles here. Feel free to post a hidden comment below or message me on Discord if you'd like any help! Enjoy!
Rules:
Normal Sudoku rules apply. Integers on an arrow sum to the integer in the corresponding circle. There is exactly one "negator" cell in each row, column, and box. Digits in a negator cell have their opposite value (e.g. 2 becomes negative 2).
Solve:
Solution code: Rows 4 and 5 (left to right, 18 digits, no spaces)
Comments
on 14. February 2024, 15:15 by mikepautov
I liked the ruleset! Good job!
on 10. November 2023, 20:14 by StephenR
Good one, thanks.
on 24. August 2022, 01:09 by polar
Very smooth solve thanks.
It reminds me of FTG's anchor series, albeit the rules are a little different. I certainly recommend checking those out for anyone that enjoyed this (which thus far it appears to be everyone, and rightly so!): https://logic-masters.de/Raetselportal/Suche/erweitert.php?skname=x&suchtext=anchor
on 23. August 2022, 20:05 by koba1917
Awesome puzzle. The two sets of arrows in boxes 4 and 6 look like people doing push ups lol. Once I saw it, its all I could see.
on 22. August 2022, 19:16 by peacherwu2
Beautiful puzzle. Nothing like the doublers at all!
on 22. August 2022, 17:07 by laky
Does each kind of number appear once in negative cell?
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@laky: Not necessarily. It is possible for the same digit to appear in multiple negator cells.
on 22. August 2022, 07:12 by Nordy
Very, very beautiful! The way this solves is incredible, and you must learn many captivating lessons about negators along the way
on 21. August 2022, 15:35 by Bootenks
All thumbs up I have for such a beautiful puzzle. ^^
on 21. August 2022, 09:40 by cdwg2000
Awesome puzzles.
on 21. August 2022, 05:37 by henrypijames
The solving path is downright miraculous - even having done it, I still don't quite understand how I did it. :D
A tip for future solvers, though: Instead of a number to be subtracted from the sum, reimagine every negator on an arrow as the second circle of that arrow - so that the given circle and the virtual circle containing the negator add up to the same sum as the rest of the arrow cells. This will simplify things greatly as addition is inherently (much) easier to think about than subtraction.
on 20. August 2022, 23:16 by Agent
Great construction! These long arrows did a lot of work. It's a novel way to do maths in an arrow puzzle.
on 20. August 2022, 18:40 by Bankey
Fantastic puzzle. Thanks, @ mathpesto :)
on 20. August 2022, 16:16 by Snookerfan
Great puzzle! Thank you so much
