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Unseen inner skyscraper sum

(Eingestellt am 18. Mai 2023, 11:16 Uhr von bigger)

This puzzle doesn’t have a link, feel free to skip my puzzle, you won’t miss anything.

Standard sudoku rules applies. Fill the grid with numbers from 1 to 9 so each digit occurs exactly once in every row, column and 3x3 box.

Every digit inside the grid is a skyscraper, the height of which is defined by the value of the digit.

The sum of the unseen skyscrapers in the arrow direction is the digit inside the arrow cell. Different arrows directions don’t affect each other’s count. In other words, the digit is not the sum of all direction, but every arrow direction sum is the same and has the value of the digit.

This one gives me play test nightmares. It’s unbelievably hard to check the negative restraint. I always miss one clue or another, or i just count the wrong one. So yes, this puzzle actually has a negative restraint, but, i really don’t want to count, so i just leave it at this. It also go though a lot changes, the given digits, for example, it totally breaks one of the stuck point. But since Old Miles told me the rules are really hard to get a grip on, i need to make a easier break in.

Like i said before, inner skyscraper has so much hidden rules that hasn’t been utilize yet. The flexibility of the directional cells length gives birth to a lot of crazy stuff.. now is the actual spoiler, you have been warned. When i designed it, i was thinking of putting criss-cross arrows, because it exclude small digits. Later, i found it impossible, so i try to settle with opposite arrows. And that’s when i notice the grouping of digits. The thing is, with opposite arrows, one arrow has to touch the small digits inside the box, otherwise, they would share skyscrapers of the same row. And with skyscrapers, the first digit is always not blocked, but some sum, especially 56 needs small digit. This means, the placement of the digit is very fixed, there’s a very hidden rule inside it.

To conclude, inner skyscraper is a variant that gives me mixed feelings. In a way, i like it. Every time i set one, i found unexpected stuff, but at the same time, it gives me brain damage. I need to change me way of thinking when dealing with this variant. It’s so east to miss or go the wrong way.

Lösungscode: Row 8 and column 8(18 digits)


Gelöst von Gryllulus, KlausRG, Jesper, Piatato, Statistica
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Kommentare

am 6. Juni 2023, 02:15 Uhr von Piatato
Lovely, there really are a lot of fascinating tricks with this rulest!

am 24. Mai 2023, 09:27 Uhr von Jesper
Smooth solve, thanks!

am 18. Mai 2023, 13:12 Uhr von Dandelo
@Eloi.blok: That's exactly what he says in the first sentence.

am 18. Mai 2023, 11:58 Uhr von Eloi.blok
I m sorry, but i don t find the link

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