Modular repulsion
(Published on 28. April 2023, 19:25 by sujoyku)
- Normal sudoku rules apply.
- Adjacency restriction: Orthogonally adjacent digits never differ by a multiple of 3, e.g. the digit 1 may not be orthogonally adjacent to either 4 or 7. In other words, the integers from 1 to 9 are divided into three groups with respect to their remainder mod 3 (147, 258 and 369) and no two digits from the same group may be orthogonally adjacent.
- Killer cages: Digits in a cage do not repeat and sum to the clue in the top left.
Here you can solve the puzzle online:
Solution code: Row 5 followed by Column 5, from left to right resp. from top to bottom (18 digits in total)
Comments
on 6. May 2024, 14:02 by Lenivaya_Joppa
Thank you for this nice puzzle, dear sujoyku! :)
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You are much welcome, Lenivaya_Joppa, thank you for your comment! I am glad that you enjoyed the puzzle.
Kind regards, sujoyku
on 4. May 2023, 13:17 by RussKozerski
Beautiful break in. After that, challenging for me. (More than a 1-star, for sure.) Thanks for an enjoyable puzzle.
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Hey RussKozerski, thank you for your comment! I am glad that you liked the break-in and had an enjoyable solve.
Kind regards, sujoyku
on 1. May 2023, 08:18 by erik
I’m glad you clarified your meaning of multiple because it seemed like an implicit kropki dot of ratio 3 vs. modular arithmetic. Once I grasped that it was very clear and fun solve path
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Thank you for your feedback, erik! I am glad that you had a fun solve. I thought the adjacency rule might need some clarification. Therefore I've tried to explain it in detail. It's great to hear that the rule set is comprehensible right now.
Kind regards, sujoyku
on 30. April 2023, 15:17 by HumanBirdsong
What a lovely idea, and well-executed with the cage placement. Thanks!
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Thank you for your kind feedback, HumanBirdsong! I am glad that you enjoyed the puzzle.
Kind regards, sujoyku
on 30. April 2023, 02:33 by halftime
What a fun rule! The symmetry keeps it at 1* for me, I think. Thank you for sharing!
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You are very much welcome, halftime! Thank you for your comment. I am happy that you liked the rule set.
It seems most solvers agree with your assessment of the difficulty towards 1/5.
Kind regards, sujoyku
on 29. April 2023, 19:55 by nunc
Really enjoyable, great puzzle (for short: a sujoyku)! Thank you!
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Thank you for your comment, nunc! I am glad that you found the puzzle enjoyable.
Kind regards, sujoyku
on 29. April 2023, 17:10 by Arlo Lipof
Yet again you produced a gem of a Sudoku, thanks!
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Thank you for the kind words, Arlo Lipof! I am glad that you liked the puzzle.
Kind regards, sujoyku
on 28. April 2023, 20:53 by sacklunch
Nice puzzle, thank you! I enjoyed the symmetry and the logical solve path.
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Thank you for the kind comment, sacklunch! I am glad that you enjoyed the puzzle.
Kind regards, sujoyku
