Entangled (Diagonal Renban Killer Sudoku)
(Published on 26. September 2025, 22:36 by Phistomefel)
- Place digits in the grid such that every row, column and 3x3 box contains each digit from 1 to 9 exactly once.
- Each of the two main diagonals contains every number from 1 to 9 exactly once.
- The cells on a purple line contain a set of non-repeating consecutive digits, but not necessarily in order.
- We call an area surrounded by a dashed line a cage. Digits may not repeat within a cage. A number in the top left corner of a cage indicates the sum of all digits in this cage.
Solution code: Middle row
Comments
yesterday, 17:28 by Phistomefel
Corrected title typo (Many thanks, jinkela114514!)
yesterday, 16:37 by jinkela114514
Typo in the title of the puzzle.
yesterday, 16:00 by Qodec
Beautiful symmetry break.
yesterday, 13:54 by wuc
Awesome puzzle. To be honest I used the cage calculator for the first time. Very clever construction. Awesome setting thx.
on 27. September 2025, 22:48 by waffles_the_dog
This was wonderful, there were a number of really fun and interesting deductions.
Alas I'm fairly sure I missed some deduction in the middle of the solve as I found myself spending sometime manually determining conflicts between renbans and a couple of the cages - A subsequent set of deductions then solved the puzzle extremely cleanly, and it's possible that they were available earlier but I didn't understand them or their implications.
So sorry for messing up that part of your puzzle :D
on 27. September 2025, 15:44 by Exigus
Long prep and then a flurry of sudoku. Very cool. Thanks!
on 27. September 2025, 14:18 by Ramez
The brainpower I use to solve some of your puzzles is a lot more than what I needed to solve the toughest math exams in school and in college :)
on 27. September 2025, 12:39 by Snookerfan
Great puzzle! Loved it, thank you
on 27. September 2025, 11:40 by Playmaker6174
[For those may wonder, the cage in box 1 sums to 13 and the cage at R5C5 sums to 15]
Beautiful and somewhat intricate setting!
Figuring out the key observations in the first half was certainly the hardest part, but it paid off well for the later portions of the solve.
on 27. September 2025, 00:40 by mathpesto
Brilliant! I loved the questions that needed to be asked in order to progress.
on 27. September 2025, 00:28 by zeniko
These were very delicate interactions in this intricate web of clues. The (almost) perfect symmetry is a cherry on top. Thanks for sharing this treat with us.
