Sudoku Variants Series (380) - Virtual killer cages
(Published on 17. August 2022, 02:00 by Richard)
Virtual killer cages
Inspiration for this type comes from Steve360.
This puzzle can be solved by logic alone, but beware: it is very error sensitive, so be very cautious before writing digits in the grid!
Solve online in F-Puzzles or CtC-app (thx Nick Smirnov!)
Apply classic sudoku rules.
A digit in a grey cell gives the sum of a virtual killer cage of two or three cells of which at least one cell is horizontally or vertically adjacent to the grey cell. All digits in a virtual cage must be different, but cages may overlap each other. All possible grey cells are given and grey cells can also be part of another killer cage.
Solution code: Row 1, followed by row 9.
Comments
on 6. September 2022, 23:09 by Rollo
@Zzzyxas: Das kann ich bestätigen ;-).
Und jetzt werde ich das angeblich leichtere Rätsel 7IK von Steve360 angehen. Edit: das ist tatsächlich leichter und auch sehr schön.
on 30. August 2022, 10:28 by Zzzyxas
»es ist sehr fehlerträchtig« ist ein klassisches Beispiel für eine selbstzerstörende Prophezeihung. Ohne diesen Satz hätte ich mich möglicherweise weniger konzentriert, aber so hat es gleich beim ersten Versuch geklappt.
on 29. August 2022, 19:57 by pin7guin
Ich bin auf Anhieb gut und fehlerfrei durchgekommen.
Hat Spaß gemacht, danke Richard!
on 18. August 2022, 13:45 by Statistica
Haha, den letzten Satz bitte als Standard übernehmen. Habe ihn überlesen und musste öfters von vorn anfangen ;-)
on 18. August 2022, 13:14 by 111chrisi
ok! Danke
on 18. August 2022, 09:02 by 111chrisi
Warum ist im Beispiel die "8" nicht grau hinterlegt?
8=2 (unter der 8) + 6 (rechts neben der 8)
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Reply: the 6 and the 2 cannot be in the same killer cage, since they are not connected horizontally or vertically.
on 17. August 2022, 13:52 by ibag
Nice!
on 17. August 2022, 12:00 by Richard
Added links and tag for online solving. Another huge thanks to Nick!
One day I'll learn how to do it myself. Promised! :-)
on 17. August 2022, 11:53 by Nick Smirnov
F-Puzzles:
https://f-puzzles.com/?id=2px2wp3n
CtC-app:
https://tinyurl.com/4rnzyppk
Circles are used instead of grey colour.
on 17. August 2022, 11:52 by henrypijames
Once again, the negative constraint is much more powerful (and useful) than the positive ones.
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Haha, you are right!
That is exactly why I am so fond of negative constraints! ;-)
Thanks for your ongoing interest in solving SVS-puzzles!
on 17. August 2022, 10:18 by ibag
Nice!
on 17. August 2022, 09:17 by henrypijames
I assume a virtual killer cage must consist of orthogonally connected cells just like a regular killer cage - but the rules doesn't actually specify that.
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@Henry: Yes, only orthogonal. In the example the 7 in the top row would have been shaded otherwise (7 = 5 + 1 + 1).
on 17. August 2022, 04:33 by Greg
Very nice puzzle, thanks
BTW you've made the solution code visible :)
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Oops! That was to compare yours with mine to see if/where the typo was. Thanks for notifying! :-)
on 17. August 2022, 04:24 by Richard
Typo fixed in solution code.
