Arrow-Free Zone
(Published on 10. November 2022, 05:00 by XeonRisq)
After some time playing with the property and attempting different constraints, I found that sandwich sums mesh very well with this and below is my try at a puzzle with EH's discovery/property.. Enjoy!
- Normal sudoku rules apply.
- Sandwich Sums: A number outside the grid indicates the sum of the numbers between 1 and 9 in that row or column.
- Arrow-Free Region: Box 5 (highlighted in yellow) must have the digits arranged such that no single-digit sum arrow can exist.
- F-puzzles link - link to solve online
- CtC link - link to solve online
Solution code: Row 8 followed by Column 8
Comments
on 15. September 2024, 09:45 by Elliott810
Beautiful puzzle! And in my opinion a 'monster'. Even after already finding the possibilities for the middle box it remains pretty hard. Thanks:)
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Yeah, this whole idea was mind blowing when Eclectic Hoosier was exploring it. You should see the proof he wrote up proving that the property exists. Anyway, thanks alot for your solve and the feedback you provide on most of the puzzles you try of mine, it's really appreciated!!
on 10. November 2022, 09:57 by bodemeister
This looks like a fantastic puzzle. Just to clarify, is there no single-digit arrow sum in the entire puzzle or just box 5? And is there any restriction about arrows going diagonally? Thanks, and I look forward to solving it!
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Thanks for the interest, and this rule is only restricted to box 5. Both orthogonal and diagonal directions are considered, basically any normally created arrow, all lengths.
