Cells containing values exactly one greater than an immediate neighbour (diagonally or orthogonally) in their box are shaded. All the shaded cells are given.
Otherwise standard Sudoku rules apply.
Lösungscode: Row 5
am 19. Mai 2023, 04:01 Uhr von Mangochicken
I was in the middle of typing out a comment about not knowing how the 4 in box 4 could fit in and allow the 2 to also be in a valid spot, but while typing that out i had a brainwave which opened up the entire puzzle. This is a very fun variant, flowed very nicely once you get the understanding of the rule down
am 10. Mai 2023, 22:38 Uhr von erik
Ok so coming over here to understand the shading rule.
Talk to me about the given 2 in box 5. What are the valid placements for the 1 in box 5? Only unshaded cells in box 5 that touch the 2?
--YES : ATK--
So turning to box 1. The three shaded cells must obey the greater by one rule. So a "run" of say 7-8-9 would be validly shaded provided a 6 was in an unshaded box touching the 7? Or????
--If I understand you correctly, YES. Of course there are many such possibilities. ATK--
Apologies if I'm just being slow to "get" the rule.
--- No apology necessary, it's a hard rule to express concisely, and the implications for the solver are relatively subtle (and for you brand new).
Let me ask you a potentially useful question: where might the 2 go in box 6?
(And further, where could the 3 go in box 5?)
---ATK
Thanks! Very helpful, so 2 in box 6 has to be touching 3 and cannot go in row 6 so must go between the 3-and-4 in row 5.
In box 5, the 3 has to go in the lower right corner of the box because it is ruled out of row 5 and column 6 by regular sudoku. It cannot go in the lower left because then the lower left cell would need to be shaded (touching the 2). And it cannot go in row 6 col 7 because that is shaded and it is not touching the 2. So therefore row 7 col 7 is only spot for it.
Think I get it now.
Thank you!!! And yeah not a trivial rule set. May be worth having a small example posted for newbies.
am 26. März 2023, 06:54 Uhr von zrbakhtiar
maybe can emphasize IN THEIR BOX ONLY. anyway, great puzzle
am 5. Januar 2023, 13:23 Uhr von Rollo
Tolle Idee, davon werde ich noch ein paar ausprobieren :-).
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Danke @Rollo, freut mich, dass es dir gefallen hat. -- ATK
am 4. Dezember 2022, 03:43 Uhr von chain.reader
This was both absolutely brilliant and brutal ... I kept confusing myself with trying to find the next digit form the prespective of the lower one, but the relationship only goes down, not up.
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Glad you liked it, thanks for the kind comment - ATK