Residual Neighbours Sudoku I
(Published on 15. January 2021, 17:13 by Morla)
Normal Sudoku rules apply. In addition, the shading gives rise to a subordinate puzzle of Neighbours (cf. Puzzlewiki on the original version) given by the digits' residue classes modulo 3. That is, a cell is shaded if and only if its value (in the finished solution) is not congruent modulo 3 to any of the values of its orthogonally adjacent cells. E.g., if a grey cell contains a 9, none of its orthogonally adjacent cells can contain a 3 or a 6; conversely, if a white cell contains a 9, then at least one of its orthogonally adjacent cells must contain a 3 or a 6.
Play on f-puzzles.com.
I think this sudoku variant is new. At least I haven't seen it before, but it is entirely possible that I am just not aware of it; please let me know in the comments if it is known under another name.
Solution code: Row 9, followed by column 3
Last changed on on 12. May 2021, 17:45
Solved by panthchesh, karen_birgitta, Dandelo, rimodech, brandon_bot, GremlinSA, Julianl, bigger, wjdrumm, Sktx, NikolaZ, zorant, sirtramola, Richard, Statistica, zuzanina, KlausRG, Krokant, Mody, sandmoppe, PetLov, zrbakhtiar, Sewerin, mluciano98
Comments
on 22. March 2022, 20:27 by Richard
Nice ruleset!
on 12. May 2021, 17:45 by Morla
Deutsche Beschreibung hinzugefügt und Schwierigkeitsgrad angepasst.
on 17. January 2021, 22:11 by rimodech
@Thomster: if a white cell contains a 1, then at least one of its orthogonally adjacent cells must contain a 4 or a 7
on 15. January 2021, 18:35 by panthchesh
Thanks for the puzzle! It was fun!
on 15. January 2021, 17:17 by Morla
Added link to f-puzzles.
