Is that even a knight?
(Published on 5. December 2025, 17:56 by NurglesGift)
Normal sudoku rules apply.
Cells connected by an X must sum to 10.
Cells connected by an V must sum to 5.
All X's and V's are given.
Cells connected by a white dot must be consecutive.
Cells with an grey circle must be Odd.
Cells with an grey square must be Even
Leaning Sandwich: Arrows with a number outside the grid indicate the sum of the digits located between the 1 and 9 on the indicated diagonal, There can be maximum one 1 and one 9 on the indicated diagonal.
All possible leaning Sandwich clues are given.
Crippled Knights: The digits [2,4,6] can not be separated by a knight's move (in chess) from the same digit.
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Feel free to recommend this puzzle to anyone.
Feel free to take special rules for your own puzzle.
Feel free to give feedback.
Bless you!
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Example
All possible leaning Sandwich diagonals are given on the grid below.
Solution code: give the digits of column 9 (top to bottom)
Comments
on 31. December 2025, 13:25 by snuuba
Wow, difficult and beautiful. Thanks
on 27. December 2025, 17:57 by dkfan9
This was the puzzle that led me to discover the "classic sudoku" conflict checker option. Nice puzzle. Took a long time, then it all fell in place.
on 27. December 2025, 14:41 by yusuf17
74 minutes. Great stuff.
on 19. December 2025, 18:25 by NurglesGift
added example
on 9. December 2025, 17:20 by jguer
This is a beautiful sudoku!
on 9. December 2025, 14:45 by FoulMoodPotato
One of the best puzzles I've solved this year! Superb!
RULES explained for anyone struggling to understand them as much as I did:
Crippled Knights is a classic ANTI-Knight rule for 2s, 4s and 6s - i.e. you CANNOT place a 2 in any cell a knight's move away from any other 2
All possible Leaning Sandwiches are given means that any diagonal NOT marked as a Sandwich can contain as many 1s and/or 9s as all other rules allow.
After stretching my poor English to its point of snapping to no avail, I deduced the rules by trial and error - if observing rule X breaks the puzzle, then X is not a valid rule.
on 7. December 2025, 11:32 by Exigus
Found it quite hard but very interesting and there was some really nice logic inte there. Thanks!
on 6. December 2025, 19:35 by RaygunUltra
Very nice. Once I figured out the correct way to do the knight's move, the next step was always intuitive. I just wish I had been more vigilant about the x constraint. I had to start over a few times. Great puzzle.
on 6. December 2025, 19:35 by RaygunUltra
Very nice. Once I figured out the correct way to do the knight's move, the next step was always intuitive. I just wish I had been more vigilant about the x constraint. I had to start over a few times. Great puzzle.
on 6. December 2025, 18:30 by NurglesGift
It's basically standard knight move constraints but only applied to the digits [2,4,6]
on 6. December 2025, 18:15 by RaygunUltra
I'm not sure I understand the Knight's move constraint. Do the 2's, 4's, and 6's need to match the same digit a knight's move away? Do they all share a set that needs to match a knight's move away? Or is it the opposite? That they can't match a knight's move away, or they share a set that can't match a knight's move away. I'm not sure why, but I find the wording very unclear.
on 6. December 2025, 13:15 by NurglesGift
If the description of a Big Mac says 3 bread + 2 meat, and I give you one with 4 bread + 3 meat, Is it still a big mac?
Maybe the rule could have better wording, but also any other interpretation of the rule will lead to contradictions
on 6. December 2025, 12:28 by itsid
...and it broke
all possible leaning sandwiches given, yet I have a 1 and a 9 on a descending diagonal (starting at column 3 boxes 5 and 6)
even a second 9 or 1 on that diagonal, would feel wrong regarding the leaning sandwiches (yes I understood that you said there are no two nines nor two ones on the INDICATED diagonals)
but you also said "all leaning sandwiches given" and that'd NOT be the case if that positioning of my 9 in box five and my 1 in box six are correct
since a BiogMac or DoubleWhopper are technically still sandwiches ;-)
IDK
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YEP I see... okay luckily I cannot rate a puzzle w/o solving it first; this would not be nice.
I liked the idea of your ruleset, but this setting I do not
on 6. December 2025, 01:35 by drbs
Very nice, after struggeling with in the first puzzle with this evil rules set, this one solved smoothly.
on 6. December 2025, 00:29 by galium_odoratum
Fair and fun, thank you for setting this gem!
on 5. December 2025, 22:17 by LeaVulpina
There were moments where I stared at the puzzle utterly confused about how to go about it, followed by an incredibly smooth and elegant solve. Gorgeous.
