It's a Non-Factor
(Published on 26. October 2023, 09:24 by SSG)
Killer: Digits in cages may not repeat and must sum to the total in the top left corner.
Anti-Factor Lines: A line may contain no digit that is a multiple or factor of its length other than 1, and the digits along a line must sum to a multiple of its length. Digits may repeat along a line if allowed by the other rules.
Solution code: Column 1 + Column 8 (18 digits)
Comments
on 2. November 2023, 02:11 by Netra
I have never imagined applying Chinese remainder Theorem to sudoku! It is an amazing puzzle!
on 30. October 2023, 05:20 by sanabas
@bansalaab - puzzle is on page 4 now, so hopefully I can post a clue that is a bit of a spoiler. set theory is a good idea, but not the ring. think about top left vs bottom right, and see what you can force to be equal...
on 27. October 2023, 11:03 by sanabas
Couple of easy deductions to think you're getting somewhere, then an absolutely astounding break-in, then flowed nicely the rest of the way. Fantastic puzzle.
on 27. October 2023, 00:32 by SeveNateNine
Absolutely delightful!
on 26. October 2023, 21:35 by bansalsaab
I ve been trying to use set theory or the "ring" for couple of hrs but cant figure out the breakin. Need to look elsewhere:-(
on 26. October 2023, 19:36 by madhupt
An amazing break-in and very very smooth thereafter. All in all an extremely satisfying solve. This is the kind of puzzle Simon would love explaining on CtC. It had all the elements - the moduli, the oft-explained theorem, the works… Thanks a lot for sharing.
on 26. October 2023, 17:57 by mihel111
Great start. Very satisfying till the end.
Congrats SSG.
on 26. October 2023, 10:50 by starwarigami
Very clever use of the Anti-Factor constraints! Thanks for exploring what they are capable of
