Sudoku Variants Series (459) - Distance Sums
(Published on 6. February 2026, 06:00 by Richard)
For this Sudoku Variants Project I have planned to publish a unique Sudoku variant every week.
Distance Sums
Solve online in
I will see how long it takes before I am running out of ideas.
Apply classic sudoku rules.
A cell with arrows contains the digit N, where N is the sum of the digits at a distance of N steps in the direction of the arrows.
Sudokupad (no answer check)
Sudokupad (with answer check)
or
Penpa+.
Solution code: Row 7
Comments
on 9. February 2026, 19:44 by dzamie
Pretty cool! Didn't take me long at all, though I suspect there's still more interesting logic available to this variant that I didn't need to find for this particular puzzle.
on 6. February 2026, 19:22 by CarnacTheMagnificent
Fantastic puzzle. The distance sum constraint is very interesting. Thank you, Richard.
on 6. February 2026, 11:36 by Franjo
Thank you very much for creating and sharing this lovely (and fairly easy) puzzle. So this interesting constraint is one of your own inventions, isn’t it?
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Reply: well, more or less. I have a (paper) solved puzzle here in my pile without a name, ID or author that uses quite similar rules, but just off. There the count of cells in the direction is one less than the number of steps. I can't find the puzzle in the portal anymore, so I can't enter the code. But that one inspired my a bit to make my own version.
BTW: did you miss SVS #458? That one can use a number of extra solves. ;)
Done! Thank you for reminding me of that miss.
BTW 2: Sorry for my late reply. This year the traditional busy season is even busier than normal, so I have hardly time to look in the portal...
Never mind. Thank you so much for your answer!
on 6. February 2026, 07:19 by Piatato
Great fun once my coffee started working and I could finally count correctly, haha!
on 6. February 2026, 07:08 by Nylimb
This was easier than I expected. Thanks.
on 6. February 2026, 06:45 by Titan29
Very simple and fun!
