Knights of the Cross (Chaos Construction)
(Published on 22. July 2024, 04:12 by sfushidahardy)
So far I've only seen X-sums in vertical and/or horizontal configurations, so I tried setting a puzzle with knight's-move X-sums to encourage interesting region-geometry. I've added an example image below to (hopefully) clarify any rule-confusions. I hope you enjoy the puzzle!
- Chaos construction: the digits 1 to 9 occur exactly once each in every row, column, and orthogonally connected region. The region-borders must be deduced.
- Knight X-sums: a corner clue indicates the sum of the clued cell and all digits in the same region which are exactly a knight's-move away. Moreover, the digit in the clued cell is the number of cells involved in the sum.
The following image demonstrates the knight X-sum rule:
Solution code: Row 9, with a forward-slash at region boundaries. (For example, 123/45/6789.)
Comments
on 4. October 2024, 00:08 by wuc
One of the best puzzles I solved for long. Very smooth very cool ideas along. Great fun thx.
on 19. September 2024, 13:40 by The Book Wyrm
Neat puzzle!
Very smooth and impressive region division, then some trickier (but still interesting) irregular to resolve the rest.
on 4. September 2024, 16:06 by mathpesto
A gorgeous puzzle with an elegant ruleset, and a very unique experience for a chaos construction!
on 29. August 2024, 07:39 by Chad
another great puzzle! lovely
on 4. August 2024, 01:49 by yttrio
Great idea with a fantastic execution! The region building worked very well, and the irregular Sudoku remained interesting for the second half.
on 24. July 2024, 16:26 by madhupt
Such a smooth puzzle! A perfect candidate for Simon to solve on CtC. Thanks for sharing this.
on 23. July 2024, 22:13 by Fool on Hill
Really enjoyable puzzle. Looking at the grid, and reading the rules, and noting the lack of clues at the bottom right, it was quite hard to believe this would solve - but once I got into it, the logic just flowed. Great setting..
on 23. July 2024, 21:40 by Nordy
Very fun puzzle!! Could have saved myself a lot of time by not thinking that 3+4+5=15 for over 30 minutes…
on 23. July 2024, 15:42 by Franjo
I took a delightful march on the solving path. What a wonderful CC this is indeed. And approachable. Thank you so much for sharing this gem.
on 23. July 2024, 15:35 by MaizeGator
Outstanding puzzle with a great balance of elegance and simplicity. The ruleset works very well and makes me think "why didn't I come up with that?"
on 23. July 2024, 10:59 by Piatato
Very smooth, fun puzzle!
on 23. July 2024, 06:19 by Voidslime
I have been loving these constructions! So satisfying and never too indirect.
on 23. July 2024, 00:58 by Christounet
Great CC ! First regions feel so magical ! Thanks :)
on 22. July 2024, 22:26 by Myxo
Beautiful!
on 22. July 2024, 20:53 by KNT
really smooth! Cool region shapes too.
on 22. July 2024, 20:51 by mihel111
A great puzzle. Desserves its rating.
Very well done Shintaro sensei.
on 22. July 2024, 18:14 by henrypijames
It's incredible how smooth this puzzle solves, compared with how difficulty it looks at first. The region division alone is one of the most miraculous I've seen in a CC (and believe me, I've seen many).
on 22. July 2024, 16:27 by GeorgeTheToad2
I like the rule set. The construction was fairly easy apart from one region. The irregular sudoku was a lot harder. Over an hour of fun. Thank you.
on 22. July 2024, 16:19 by Bootenks
I especially loved the deconstruction part. That was more of an easy (2) section. The irregular part was more of a softer average (3) level. I was happy that it wasn't too complicated.
Overall, a very lovely puzzle!
on 22. July 2024, 15:19 by marcmees
Nice & smooth (3*?)
Thanks
on 22. July 2024, 08:58 by Bankey
Fun variant of X-sums. Thanks, @ sfushidahardy :).
on 22. July 2024, 04:27 by someguy209
Lovely puzzle with a ruleset used in numerous interesting ways, leading up to a tough but fair irregular sudoku finish!
