Creator Sudoku (Where do the 9s live?)
(Published on 25. October 2020, 21:36 by ICHTUES)
- There is one extra 3x3-region in the grid, which also contains the digits 1 to 9. Locating this box is part of the puzzle.
- ALL cells that contain a number equal to the number of cells it touches (including itself!) orthogonally or diagonally that are outside this extra region, are colored blue. ALL blue cells are given.
- The grid contains exactly 5 diagonals, all of different lengths, on which digits may only appear exactly as many times as their own value. So if one of these diagonals has a length of 7, it could contain -for instance- four times the digit 4 and three times the digit 3 (see example).
Example of how to use the blue digits and a valid diagonal
Solution code: row4 and row7
Comments
on 12. May 2023, 14:56 by lerroyy
Really liked the start, but I had a lot of trouble finding the longest diagonal. Apart from that step, I had a very fun solve.
on 1. October 2021, 02:20 by Vebby
Wow, this is unlike anything I've solved before; some very interesting logic. Had to trial and error a bit with respect to placement of the extra region and the largest diagonal. Great satisfaction to get the correct solution. Thanks ICHTUES!
on 20. December 2020, 18:06 by DiMono
After solving this yesterday by basically brute forcing it, today I sat back down with it and took a more experimental approach. I was able to get almost all the way through with elegant logic, until the end when I couldn't find a quick contradiction to rule out one of two remaining options.
Having gone back to pointedly solve it without guesswork, I think this is a wonderful puzzle (even if I wasn't able to finish quite as elegantly as I would have liked), and it's definitely worth taking some time on.
ICHTUES, I've updated my hidden comment with the point I was able to get up to. Would you be able to respond to it with what I missed?
on 5. December 2020, 08:20 by ICHTUES
added an extended title
on 22. November 2020, 16:59 by SKORP17
Ich nehme doch mal an, die Diagonalen dürfen durch die Extra-Box verlaufen ? Und dürfen die Diagonalen auch gemeinsame Felder haben?
Ja, dies ist alles erlaubt.
on 16. November 2020, 23:00 by SirWoezel
This is a really fascinating puzzle, with a surprisingly logical and beautiful solving path. I strongly recommend everybody to give it a try!
on 26. October 2020, 18:35 by ICHTUES
Beispiel hinzugefügt
on 26. October 2020, 13:02 by cdwg2000
Is this to let players make Sudoku based on limited conditions? This idea is crazy！
