Foursome Linked Sudokus
(Eingestellt am 8. September 2020, 01:34 Uhr von Genomico)
This is one large puzzle, consisting of four different variants of 6x6 sudokus, which are all linked together by the grey cells.
The following rules apply to the grey cells:
1) A black circle in a grey cell means that one of the two adjacent digits has the double value of the other digit.
2) A white circle means that the difference of the adjacent digits is exactly one.
3) A grey cell between digits 1 and 2 can contain either a white or black circle.
4) A "V" means the adjacent digits sum to 5.
5) A "X" means the adjacent digits sum to 10.
6) When two of the rules above apply to one grey cell, then both symbols are given. (The grey cells with black circles do not also contain a V or X.)
7) A hyphen (-) means none of the above rules apply to the adjacent cells. So all Vs, Xs and circles are given in the grey cells.
Normal 6x6 sudoku rules apply to all sudokus, so every row column and region must contain the digits 1 to 6.
Additional rules per variant:
Cells that are a (chess) knight's step away from each other may not contain the same digit.
Any two orthogonally adjacent cells cannot contain consecutive digits.
No three odd/even in line:
The maximum number of neighbouring odd digits as well as the maximum number of neighbouring even digits in any row or column is two.
The number in a cell cannot equal the average of its two horizontal neighbours nor it equals the average of its two vertical neighbours.
The puzzle is also available on Penpa
Enjoy solving :)
Lösungscode: The first row of the Anti-knight sudoku; followed by the first row of the Non-consecutive; followed by the fourth row of the No three odd/even in line; followed by the fourth row of the Non-average (24 digits in total).
Gelöst von bosjo, Greg, Realshaggy, wenchang, bob, Narayana, cdwg2000, Statistica, marcmees, Hareeb, NjtehKourian, zorant, samuella, Queteimp, NikolaZ, Jesper, smckinley, saskia-daniela, MagnusJosefsson, Mody, ... Deepanshu, mandourin, adam001, cam, rcg, ManuH, PreparingFiles, geronimo92, FzFeather, Uhu, ffricke, Willy Wonka, Jaych, Madmahogany, zlotnleo, kyled103, SameEagles, tinounou, jchan18, sudocolor
am 26. September 2020, 15:02 Uhr von geronimo92
"The grey cells with black circles do not also contain a V or X"... This was obvious, how that would be possible to make 5 or 10 with two digits one being the double of the other one......
am 10. September 2020, 22:28 Uhr von Genomico
Thank you all for your (hidden) comments :)
@cam: No need to wait any longer, the next linked sudoku is published already ;)
Zuletzt geändert am 14. September 2020, 19:30 Uhr
am 10. September 2020, 00:05 Uhr von cam
Damn I managed to mess this one up. I'm excited to come back to it later though. I love the inclusion of rule 7. Amazing puzzle. I can't wait to see more :)
EDIT: @Genomico I'm not sure where I went wrong last time, but this time I managed to solve this quite smoothly. Quite a beautiful and satisfying puzzle :)
am 8. September 2020, 04:38 Uhr von bosjo
Very nice puzzle! In my opinion, this is slightly easier than the six-pack, if nothing else because it is easier to decide where to attack since it is smaller...