Out-of-grid XV?
(Published on 18. February 2026, 05:42 by rhyrhy)
Rules
- Normal 6x6 Sudoku rules apply on the inner grid. Digits out of the grid are not restricted to 1-6.
- All rules below apply to out-of-grid clues in the same way.
- Circled positions contain an X, V, or = clue.
- Out-of-grid clues indicate the sum of the first X digits from that direction, where X is the first digit encountered.
- Two cells separated by an X sum to 10.
- Two cells separated by a V sum to 5.
- Two cells separated by an equal sign contain the same digit.
▼ If the circles are not visible enough, try this version.
Solution code: Row 2 (6 digits, left to right)
Comments
on 2. March 2026, 00:06 by blueteeth
Was confused with the answer at first. The solution code is Row 2 of the 6x6 grid, not of the total puzzle area.
on 26. February 2026, 08:34 by rhyrhy
Revised the rules
on 25. February 2026, 12:09 by BBaker1729
Delightful! I was concerned at first about the ambiguous nature of possibilities for the outside cells, but the construction is so well designed to quell that quickly. Love!
on 24. February 2026, 17:08 by PancakePie
Very fun and wonderfully built! Thanks for this.
on 24. February 2026, 02:55 by MiguelMunoz
The example was very helpful.
on 23. February 2026, 22:54 by davidz32z
Miguel X-Sum clues are hard to word, but for example if the outside clue was 6 the first cell (called X) could be 2 or 3. If it was 2 the next cell would need to bring the total of those two cells to 6 so it would be 4. If it was 3 the next two cells would need to bring the total of three cells to 6 so they'd be 1 & 2 in some order. The first cell can't be a 1 (and can never be a 1 unless the clue outside the grid is 1) and can't be 4 because 1+2+3+4>6. Hope that makes sense!
on 23. February 2026, 22:19 by MiguelMunoz
"Out-of-grid clues indicate the sum of the first X digits from that direction, where X is the first digit encountered." I can't make sense of what this means. The first X digits can't add up to X if X is the first digit. If I'm supposed to skip the first digit in the sum, then I still can't make sense of it. An example would be very helpful here.
on 23. February 2026, 18:52 by jez9999
Rules should make it explicit whether the out-of-grid cells are limited from 1-6. Are they 1-9? Can they even contain a zero, perhaps?
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rhyrhy : I intendedly did not mention those, they can be deduced by the logic itself.
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Then you should say there specifically isn't a restriction. It would be quite natural to assume a 1-6 restriction given the rest of the grid.
on 20. February 2026, 11:43 by drharib0
Very interesting setting
on 19. February 2026, 23:30 by rhyrhy
Fixed typo
on 19. February 2026, 23:03 by dzamie
That was pretty cool! Easy, but the ambiguous circles and the fact that out-of-grid cells could be more than 6 made it an interesting challenge.
on 19. February 2026, 13:29 by michael_787
Very easy, didnt see all the circles at first though.
on 18. February 2026, 23:44 by boggles
damn, that was cool
